0.002 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.205 * * * [progress]: [2/2] Setting up program. 0.211 * [progress]: [Phase 2 of 3] Improving. 0.212 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.212 * [simplify]: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 0.212 * * [simplify]: iters left: 6 (13 enodes) 0.219 * * [simplify]: iters left: 5 (57 enodes) 0.233 * * [simplify]: iters left: 4 (96 enodes) 0.249 * * [simplify]: iters left: 3 (172 enodes) 0.321 * * [simplify]: iters left: 2 (338 enodes) 0.462 * * [simplify]: Extracting #0: cost 1 inf + 0 0.462 * * [simplify]: Extracting #1: cost 41 inf + 0 0.463 * * [simplify]: Extracting #2: cost 120 inf + 1 0.464 * * [simplify]: Extracting #3: cost 166 inf + 127 0.466 * * [simplify]: Extracting #4: cost 163 inf + 676 0.469 * * [simplify]: Extracting #5: cost 119 inf + 8991 0.478 * * [simplify]: Extracting #6: cost 63 inf + 29786 0.491 * * [simplify]: Extracting #7: cost 6 inf + 73494 0.507 * * [simplify]: Extracting #8: cost 0 inf + 78104 0.528 * [simplify]: Simplified to (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 0.528 * [simplify]: Simplified (2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 0.540 * * [progress]: iteration 1 / 4 0.540 * * * [progress]: picking best candidate 0.551 * * * * [pick]: Picked # 0.551 * * * [progress]: localizing error 0.597 * * * [progress]: generating rewritten candidates 0.597 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.616 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.630 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.635 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.666 * * * [progress]: generating series expansions 0.666 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.667 * [backup-simplify]: Simplify (pow (* (* 2 PI) n) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) 0.667 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0 0.667 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 0.667 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 0.667 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 0.667 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 0.667 * [taylor]: Taking taylor expansion of 1/2 in k 0.667 * [backup-simplify]: Simplify 1/2 into 1/2 0.667 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.667 * [taylor]: Taking taylor expansion of 1 in k 0.667 * [backup-simplify]: Simplify 1 into 1 0.667 * [taylor]: Taking taylor expansion of k in k 0.667 * [backup-simplify]: Simplify 0 into 0 0.667 * [backup-simplify]: Simplify 1 into 1 0.667 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 0.667 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 0.667 * [taylor]: Taking taylor expansion of 2 in k 0.667 * [backup-simplify]: Simplify 2 into 2 0.667 * [taylor]: Taking taylor expansion of (* n PI) in k 0.667 * [taylor]: Taking taylor expansion of n in k 0.667 * [backup-simplify]: Simplify n into n 0.667 * [taylor]: Taking taylor expansion of PI in k 0.667 * [backup-simplify]: Simplify PI into PI 0.667 * [backup-simplify]: Simplify (* n PI) into (* n PI) 0.667 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 0.667 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 0.668 * [backup-simplify]: Simplify (- 0) into 0 0.668 * [backup-simplify]: Simplify (+ 1 0) into 1 0.668 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.668 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 0.668 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 0.669 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.669 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.669 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.669 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.669 * [taylor]: Taking taylor expansion of 1/2 in n 0.669 * [backup-simplify]: Simplify 1/2 into 1/2 0.669 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.669 * [taylor]: Taking taylor expansion of 1 in n 0.669 * [backup-simplify]: Simplify 1 into 1 0.669 * [taylor]: Taking taylor expansion of k in n 0.669 * [backup-simplify]: Simplify k into k 0.669 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.669 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.669 * [taylor]: Taking taylor expansion of 2 in n 0.669 * [backup-simplify]: Simplify 2 into 2 0.669 * [taylor]: Taking taylor expansion of (* n PI) in n 0.669 * [taylor]: Taking taylor expansion of n in n 0.669 * [backup-simplify]: Simplify 0 into 0 0.669 * [backup-simplify]: Simplify 1 into 1 0.669 * [taylor]: Taking taylor expansion of PI in n 0.669 * [backup-simplify]: Simplify PI into PI 0.669 * [backup-simplify]: Simplify (* 0 PI) into 0 0.669 * [backup-simplify]: Simplify (* 2 0) into 0 0.670 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.671 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.672 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.672 * [backup-simplify]: Simplify (- k) into (- k) 0.672 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.672 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 0.673 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.673 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 0.674 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0.674 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.674 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.674 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.674 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.674 * [taylor]: Taking taylor expansion of 1/2 in n 0.674 * [backup-simplify]: Simplify 1/2 into 1/2 0.674 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.674 * [taylor]: Taking taylor expansion of 1 in n 0.674 * [backup-simplify]: Simplify 1 into 1 0.674 * [taylor]: Taking taylor expansion of k in n 0.674 * [backup-simplify]: Simplify k into k 0.674 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.674 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.674 * [taylor]: Taking taylor expansion of 2 in n 0.674 * [backup-simplify]: Simplify 2 into 2 0.674 * [taylor]: Taking taylor expansion of (* n PI) in n 0.674 * [taylor]: Taking taylor expansion of n in n 0.674 * [backup-simplify]: Simplify 0 into 0 0.674 * [backup-simplify]: Simplify 1 into 1 0.674 * [taylor]: Taking taylor expansion of PI in n 0.674 * [backup-simplify]: Simplify PI into PI 0.675 * [backup-simplify]: Simplify (* 0 PI) into 0 0.675 * [backup-simplify]: Simplify (* 2 0) into 0 0.676 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.677 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.677 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.677 * [backup-simplify]: Simplify (- k) into (- k) 0.678 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.678 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 0.681 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.682 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 0.683 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0.683 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 0.683 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 0.683 * [taylor]: Taking taylor expansion of 1/2 in k 0.683 * [backup-simplify]: Simplify 1/2 into 1/2 0.683 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 0.683 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.683 * [taylor]: Taking taylor expansion of 1 in k 0.683 * [backup-simplify]: Simplify 1 into 1 0.683 * [taylor]: Taking taylor expansion of k in k 0.683 * [backup-simplify]: Simplify 0 into 0 0.683 * [backup-simplify]: Simplify 1 into 1 0.683 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 0.683 * [taylor]: Taking taylor expansion of (log n) in k 0.683 * [taylor]: Taking taylor expansion of n in k 0.683 * [backup-simplify]: Simplify n into n 0.683 * [backup-simplify]: Simplify (log n) into (log n) 0.683 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.683 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.683 * [taylor]: Taking taylor expansion of 2 in k 0.683 * [backup-simplify]: Simplify 2 into 2 0.683 * [taylor]: Taking taylor expansion of PI in k 0.683 * [backup-simplify]: Simplify PI into PI 0.683 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.684 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.684 * [backup-simplify]: Simplify (- 0) into 0 0.685 * [backup-simplify]: Simplify (+ 1 0) into 1 0.685 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.686 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 0.686 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 0.687 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0.688 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0.688 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 0.689 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 0.690 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.690 * [backup-simplify]: Simplify (- 0) into 0 0.690 * [backup-simplify]: Simplify (+ 0 0) into 0 0.690 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 0.691 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.692 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 0.693 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.693 * [taylor]: Taking taylor expansion of 0 in k 0.693 * [backup-simplify]: Simplify 0 into 0 0.693 * [backup-simplify]: Simplify 0 into 0 0.694 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 0.694 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 0.695 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.695 * [backup-simplify]: Simplify (+ 0 0) into 0 0.695 * [backup-simplify]: Simplify (- 1) into -1 0.696 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.697 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 0.698 * [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))))) 0.699 * [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))))))) 0.701 * [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))))))) 0.702 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 0.702 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 0.704 * [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) into 0 0.705 * [backup-simplify]: Simplify (+ 0 0) into 0 0.705 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 0.706 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.707 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.708 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.708 * [taylor]: Taking taylor expansion of 0 in k 0.708 * [backup-simplify]: Simplify 0 into 0 0.708 * [backup-simplify]: Simplify 0 into 0 0.708 * [backup-simplify]: Simplify 0 into 0 0.709 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 0.710 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 0.712 * [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 0.712 * [backup-simplify]: Simplify (+ 0 0) into 0 0.712 * [backup-simplify]: Simplify (- 0) into 0 0.713 * [backup-simplify]: Simplify (+ 0 0) into 0 0.714 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.715 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.717 * [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))))) 0.720 * [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))))) 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))))) 0.726 * [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))))) 0.726 * [backup-simplify]: Simplify (pow (* (* 2 PI) (/ 1 n)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) 0.726 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 0.726 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 0.726 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 0.726 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 0.726 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 0.726 * [taylor]: Taking taylor expansion of 1/2 in k 0.726 * [backup-simplify]: Simplify 1/2 into 1/2 0.726 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 0.726 * [taylor]: Taking taylor expansion of 1 in k 0.726 * [backup-simplify]: Simplify 1 into 1 0.726 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.726 * [taylor]: Taking taylor expansion of k in k 0.726 * [backup-simplify]: Simplify 0 into 0 0.726 * [backup-simplify]: Simplify 1 into 1 0.727 * [backup-simplify]: Simplify (/ 1 1) into 1 0.727 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 0.727 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 0.727 * [taylor]: Taking taylor expansion of 2 in k 0.727 * [backup-simplify]: Simplify 2 into 2 0.727 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.727 * [taylor]: Taking taylor expansion of PI in k 0.727 * [backup-simplify]: Simplify PI into PI 0.727 * [taylor]: Taking taylor expansion of n in k 0.727 * [backup-simplify]: Simplify n into n 0.727 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 0.727 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 0.727 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 0.728 * [backup-simplify]: Simplify (- 1) into -1 0.728 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.729 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 0.729 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 0.729 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 0.729 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 0.729 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 0.729 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 0.729 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 0.729 * [taylor]: Taking taylor expansion of 1/2 in n 0.729 * [backup-simplify]: Simplify 1/2 into 1/2 0.729 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 0.729 * [taylor]: Taking taylor expansion of 1 in n 0.729 * [backup-simplify]: Simplify 1 into 1 0.729 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.729 * [taylor]: Taking taylor expansion of k in n 0.729 * [backup-simplify]: Simplify k into k 0.729 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.729 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 0.729 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.729 * [taylor]: Taking taylor expansion of 2 in n 0.730 * [backup-simplify]: Simplify 2 into 2 0.730 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.730 * [taylor]: Taking taylor expansion of PI in n 0.730 * [backup-simplify]: Simplify PI into PI 0.730 * [taylor]: Taking taylor expansion of n in n 0.730 * [backup-simplify]: Simplify 0 into 0 0.730 * [backup-simplify]: Simplify 1 into 1 0.730 * [backup-simplify]: Simplify (/ PI 1) into PI 0.731 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.732 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.732 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 0.732 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 0.732 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 0.733 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.734 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 0.736 * [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))))) 0.736 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 0.736 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 0.736 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 0.736 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 0.736 * [taylor]: Taking taylor expansion of 1/2 in n 0.736 * [backup-simplify]: Simplify 1/2 into 1/2 0.736 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 0.736 * [taylor]: Taking taylor expansion of 1 in n 0.736 * [backup-simplify]: Simplify 1 into 1 0.736 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.736 * [taylor]: Taking taylor expansion of k in n 0.736 * [backup-simplify]: Simplify k into k 0.736 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.736 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 0.736 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.736 * [taylor]: Taking taylor expansion of 2 in n 0.736 * [backup-simplify]: Simplify 2 into 2 0.736 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.736 * [taylor]: Taking taylor expansion of PI in n 0.736 * [backup-simplify]: Simplify PI into PI 0.736 * [taylor]: Taking taylor expansion of n in n 0.736 * [backup-simplify]: Simplify 0 into 0 0.736 * [backup-simplify]: Simplify 1 into 1 0.737 * [backup-simplify]: Simplify (/ PI 1) into PI 0.737 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.738 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.738 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 0.738 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 0.738 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 0.740 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.741 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 0.742 * [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))))) 0.742 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 0.742 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 0.742 * [taylor]: Taking taylor expansion of 1/2 in k 0.742 * [backup-simplify]: Simplify 1/2 into 1/2 0.742 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 0.742 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 0.742 * [taylor]: Taking taylor expansion of 1 in k 0.742 * [backup-simplify]: Simplify 1 into 1 0.742 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.742 * [taylor]: Taking taylor expansion of k in k 0.742 * [backup-simplify]: Simplify 0 into 0 0.742 * [backup-simplify]: Simplify 1 into 1 0.742 * [backup-simplify]: Simplify (/ 1 1) into 1 0.742 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 0.743 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.743 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.743 * [taylor]: Taking taylor expansion of 2 in k 0.743 * [backup-simplify]: Simplify 2 into 2 0.743 * [taylor]: Taking taylor expansion of PI in k 0.743 * [backup-simplify]: Simplify PI into PI 0.743 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.744 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.744 * [taylor]: Taking taylor expansion of (log n) in k 0.744 * [taylor]: Taking taylor expansion of n in k 0.744 * [backup-simplify]: Simplify n into n 0.744 * [backup-simplify]: Simplify (log n) into (log n) 0.745 * [backup-simplify]: Simplify (- 1) into -1 0.745 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.745 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 0.746 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 0.747 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 0.749 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 0.750 * [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))))) 0.751 * [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))))) 0.752 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.753 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 0.754 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.754 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.755 * [backup-simplify]: Simplify (- 0) into 0 0.755 * [backup-simplify]: Simplify (+ 0 0) into 0 0.756 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 0.757 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.758 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 0.760 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.760 * [taylor]: Taking taylor expansion of 0 in k 0.760 * [backup-simplify]: Simplify 0 into 0 0.760 * [backup-simplify]: Simplify 0 into 0 0.760 * [backup-simplify]: Simplify 0 into 0 0.761 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.762 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 0.765 * [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 0.766 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.766 * [backup-simplify]: Simplify (- 0) into 0 0.766 * [backup-simplify]: Simplify (+ 0 0) into 0 0.767 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 0.769 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.770 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 0.773 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.773 * [taylor]: Taking taylor expansion of 0 in k 0.773 * [backup-simplify]: Simplify 0 into 0 0.773 * [backup-simplify]: Simplify 0 into 0 0.773 * [backup-simplify]: Simplify 0 into 0 0.773 * [backup-simplify]: Simplify 0 into 0 0.774 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.775 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.781 * [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 0.781 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.782 * [backup-simplify]: Simplify (- 0) into 0 0.782 * [backup-simplify]: Simplify (+ 0 0) into 0 0.784 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 0.785 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.787 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 0.796 * [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 0.797 * [taylor]: Taking taylor expansion of 0 in k 0.797 * [backup-simplify]: Simplify 0 into 0 0.797 * [backup-simplify]: Simplify 0 into 0 0.798 * [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)))))) 0.799 * [backup-simplify]: Simplify (pow (* (* 2 PI) (/ 1 (- n))) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) 0.799 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 0.799 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 0.799 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 0.799 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 0.799 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 0.799 * [taylor]: Taking taylor expansion of 1/2 in k 0.799 * [backup-simplify]: Simplify 1/2 into 1/2 0.799 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 0.799 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.799 * [taylor]: Taking taylor expansion of k in k 0.799 * [backup-simplify]: Simplify 0 into 0 0.799 * [backup-simplify]: Simplify 1 into 1 0.800 * [backup-simplify]: Simplify (/ 1 1) into 1 0.800 * [taylor]: Taking taylor expansion of 1 in k 0.800 * [backup-simplify]: Simplify 1 into 1 0.800 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 0.800 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 0.800 * [taylor]: Taking taylor expansion of -2 in k 0.800 * [backup-simplify]: Simplify -2 into -2 0.800 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.800 * [taylor]: Taking taylor expansion of PI in k 0.800 * [backup-simplify]: Simplify PI into PI 0.800 * [taylor]: Taking taylor expansion of n in k 0.800 * [backup-simplify]: Simplify n into n 0.800 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 0.800 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 0.800 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 0.801 * [backup-simplify]: Simplify (+ 1 0) into 1 0.801 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.801 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 0.801 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 0.801 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 0.801 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 0.801 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 0.801 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 0.802 * [taylor]: Taking taylor expansion of 1/2 in n 0.802 * [backup-simplify]: Simplify 1/2 into 1/2 0.802 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 0.802 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.802 * [taylor]: Taking taylor expansion of k in n 0.802 * [backup-simplify]: Simplify k into k 0.802 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.802 * [taylor]: Taking taylor expansion of 1 in n 0.802 * [backup-simplify]: Simplify 1 into 1 0.802 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 0.802 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.802 * [taylor]: Taking taylor expansion of -2 in n 0.802 * [backup-simplify]: Simplify -2 into -2 0.802 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.802 * [taylor]: Taking taylor expansion of PI in n 0.802 * [backup-simplify]: Simplify PI into PI 0.802 * [taylor]: Taking taylor expansion of n in n 0.802 * [backup-simplify]: Simplify 0 into 0 0.802 * [backup-simplify]: Simplify 1 into 1 0.802 * [backup-simplify]: Simplify (/ PI 1) into PI 0.803 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.804 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 0.804 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 0.804 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 0.805 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.807 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 0.808 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 0.808 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 0.808 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 0.808 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 0.808 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 0.808 * [taylor]: Taking taylor expansion of 1/2 in n 0.808 * [backup-simplify]: Simplify 1/2 into 1/2 0.808 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 0.808 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.808 * [taylor]: Taking taylor expansion of k in n 0.808 * [backup-simplify]: Simplify k into k 0.808 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.808 * [taylor]: Taking taylor expansion of 1 in n 0.808 * [backup-simplify]: Simplify 1 into 1 0.808 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 0.808 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.808 * [taylor]: Taking taylor expansion of -2 in n 0.808 * [backup-simplify]: Simplify -2 into -2 0.808 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.808 * [taylor]: Taking taylor expansion of PI in n 0.808 * [backup-simplify]: Simplify PI into PI 0.808 * [taylor]: Taking taylor expansion of n in n 0.808 * [backup-simplify]: Simplify 0 into 0 0.808 * [backup-simplify]: Simplify 1 into 1 0.809 * [backup-simplify]: Simplify (/ PI 1) into PI 0.809 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.810 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 0.811 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 0.811 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 0.812 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.812 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 0.813 * [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))))) 0.813 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 0.813 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 0.813 * [taylor]: Taking taylor expansion of 1/2 in k 0.813 * [backup-simplify]: Simplify 1/2 into 1/2 0.813 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 0.813 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 0.813 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.813 * [taylor]: Taking taylor expansion of k in k 0.813 * [backup-simplify]: Simplify 0 into 0 0.813 * [backup-simplify]: Simplify 1 into 1 0.813 * [backup-simplify]: Simplify (/ 1 1) into 1 0.813 * [taylor]: Taking taylor expansion of 1 in k 0.813 * [backup-simplify]: Simplify 1 into 1 0.813 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 0.814 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 0.814 * [taylor]: Taking taylor expansion of (* -2 PI) in k 0.814 * [taylor]: Taking taylor expansion of -2 in k 0.814 * [backup-simplify]: Simplify -2 into -2 0.814 * [taylor]: Taking taylor expansion of PI in k 0.814 * [backup-simplify]: Simplify PI into PI 0.814 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.814 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 0.814 * [taylor]: Taking taylor expansion of (log n) in k 0.814 * [taylor]: Taking taylor expansion of n in k 0.814 * [backup-simplify]: Simplify n into n 0.815 * [backup-simplify]: Simplify (log n) into (log n) 0.815 * [backup-simplify]: Simplify (+ 1 0) into 1 0.815 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 0.815 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 0.816 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 0.817 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 0.817 * [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))))) 0.818 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 0.819 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.819 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 0.820 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 0.820 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.820 * [backup-simplify]: Simplify (+ 0 0) into 0 0.821 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 0.821 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.822 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 0.823 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.823 * [taylor]: Taking taylor expansion of 0 in k 0.823 * [backup-simplify]: Simplify 0 into 0 0.823 * [backup-simplify]: Simplify 0 into 0 0.823 * [backup-simplify]: Simplify 0 into 0 0.824 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.824 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 0.826 * [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 0.826 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.827 * [backup-simplify]: Simplify (+ 0 0) into 0 0.827 * [backup-simplify]: Simplify (+ (* 1/2 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)) 0.829 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 0.830 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.830 * [taylor]: Taking taylor expansion of 0 in k 0.830 * [backup-simplify]: Simplify 0 into 0 0.830 * [backup-simplify]: Simplify 0 into 0 0.830 * [backup-simplify]: Simplify 0 into 0 0.830 * [backup-simplify]: Simplify 0 into 0 0.831 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.832 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.835 * [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 0.835 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.835 * [backup-simplify]: Simplify (+ 0 0) into 0 0.836 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 0.837 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.838 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 0.840 * [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 0.840 * [taylor]: Taking taylor expansion of 0 in k 0.840 * [backup-simplify]: Simplify 0 into 0 0.840 * [backup-simplify]: Simplify 0 into 0 0.841 * [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)))))) 0.841 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.841 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 0.841 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 0.841 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.841 * [taylor]: Taking taylor expansion of 2 in n 0.841 * [backup-simplify]: Simplify 2 into 2 0.841 * [taylor]: Taking taylor expansion of (* n PI) in n 0.841 * [taylor]: Taking taylor expansion of n in n 0.841 * [backup-simplify]: Simplify 0 into 0 0.841 * [backup-simplify]: Simplify 1 into 1 0.841 * [taylor]: Taking taylor expansion of PI in n 0.841 * [backup-simplify]: Simplify PI into PI 0.841 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.841 * [taylor]: Taking taylor expansion of 2 in n 0.841 * [backup-simplify]: Simplify 2 into 2 0.841 * [taylor]: Taking taylor expansion of (* n PI) in n 0.841 * [taylor]: Taking taylor expansion of n in n 0.841 * [backup-simplify]: Simplify 0 into 0 0.841 * [backup-simplify]: Simplify 1 into 1 0.841 * [taylor]: Taking taylor expansion of PI in n 0.841 * [backup-simplify]: Simplify PI into PI 0.842 * [backup-simplify]: Simplify (* 0 PI) into 0 0.842 * [backup-simplify]: Simplify (* 2 0) into 0 0.842 * [backup-simplify]: Simplify 0 into 0 0.843 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.844 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.844 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.845 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 0.845 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 0.845 * [backup-simplify]: Simplify 0 into 0 0.846 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 0.847 * [backup-simplify]: Simplify (+ (* 2 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 PI))))) into 0 0.848 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 0.848 * [backup-simplify]: Simplify 0 into 0 0.849 * [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 0.851 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 0.852 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 0.852 * [backup-simplify]: Simplify 0 into 0 0.854 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 0.856 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 0.856 * [backup-simplify]: Simplify 0 into 0 0.856 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 0.857 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 n)) into (* 2 (/ PI n)) 0.857 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 0.857 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.857 * [taylor]: Taking taylor expansion of 2 in n 0.857 * [backup-simplify]: Simplify 2 into 2 0.857 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.857 * [taylor]: Taking taylor expansion of PI in n 0.857 * [backup-simplify]: Simplify PI into PI 0.857 * [taylor]: Taking taylor expansion of n in n 0.857 * [backup-simplify]: Simplify 0 into 0 0.857 * [backup-simplify]: Simplify 1 into 1 0.858 * [backup-simplify]: Simplify (/ PI 1) into PI 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 0.858 * [backup-simplify]: Simplify (/ PI 1) into PI 0.859 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.859 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.860 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.861 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 0.861 * [backup-simplify]: Simplify 0 into 0 0.862 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.863 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 0.863 * [backup-simplify]: Simplify 0 into 0 0.864 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.865 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 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)) (* 0 (/ 0 1)))) into 0 0.867 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.867 * [backup-simplify]: Simplify 0 into 0 0.868 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.870 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 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)) (* 0 (/ 0 1)))) into 0 0.872 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 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 (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 0.874 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (- n))) into (* -2 (/ PI n)) 0.874 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 0.874 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.874 * [taylor]: Taking taylor expansion of -2 in n 0.874 * [backup-simplify]: Simplify -2 into -2 0.874 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.874 * [taylor]: Taking taylor expansion of PI in n 0.874 * [backup-simplify]: Simplify PI into PI 0.874 * [taylor]: Taking taylor expansion of n in n 0.874 * [backup-simplify]: Simplify 0 into 0 0.874 * [backup-simplify]: Simplify 1 into 1 0.875 * [backup-simplify]: Simplify (/ PI 1) into PI 0.875 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.875 * [taylor]: Taking taylor expansion of -2 in n 0.875 * [backup-simplify]: Simplify -2 into -2 0.875 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.875 * [taylor]: Taking taylor expansion of PI in n 0.875 * [backup-simplify]: Simplify PI into PI 0.875 * [taylor]: Taking taylor expansion of n in n 0.875 * [backup-simplify]: Simplify 0 into 0 0.875 * [backup-simplify]: Simplify 1 into 1 0.875 * [backup-simplify]: Simplify (/ PI 1) into PI 0.876 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.876 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.877 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.878 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 0.878 * [backup-simplify]: Simplify 0 into 0 0.879 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.879 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 0.879 * [backup-simplify]: Simplify 0 into 0 0.880 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.881 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.881 * [backup-simplify]: Simplify 0 into 0 0.881 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.882 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.882 * [backup-simplify]: Simplify 0 into 0 0.883 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.883 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 0.883 * [backup-simplify]: Simplify 0 into 0 0.884 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.885 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 0.885 * [backup-simplify]: Simplify 0 into 0 0.885 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 0.885 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.885 * [backup-simplify]: Simplify (/ 1 (sqrt k)) into (sqrt (/ 1 k)) 0.885 * [approximate]: Taking taylor expansion of (sqrt (/ 1 k)) in (k) around 0 0.885 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.885 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.885 * [taylor]: Taking taylor expansion of k in k 0.885 * [backup-simplify]: Simplify 0 into 0 0.885 * [backup-simplify]: Simplify 1 into 1 0.886 * [backup-simplify]: Simplify (/ 1 1) into 1 0.886 * [backup-simplify]: Simplify (sqrt 0) into 0 0.887 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.887 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.887 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.887 * [taylor]: Taking taylor expansion of k in k 0.887 * [backup-simplify]: Simplify 0 into 0 0.887 * [backup-simplify]: Simplify 1 into 1 0.887 * [backup-simplify]: Simplify (/ 1 1) into 1 0.887 * [backup-simplify]: Simplify (sqrt 0) into 0 0.888 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.888 * [backup-simplify]: Simplify 0 into 0 0.888 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.891 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.891 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.893 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.893 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.894 * [backup-simplify]: Simplify (+ (* +nan.0 (pow k 2)) (+ (* +nan.0 k) +nan.0)) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 0.894 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 k))) into (sqrt k) 0.894 * [approximate]: Taking taylor expansion of (sqrt k) in (k) around 0 0.894 * [taylor]: Taking taylor expansion of (sqrt 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 (sqrt 0) into 0 0.895 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.895 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.895 * [taylor]: Taking taylor expansion of k in k 0.895 * [backup-simplify]: Simplify 0 into 0 0.895 * [backup-simplify]: Simplify 1 into 1 0.895 * [backup-simplify]: Simplify (sqrt 0) into 0 0.896 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.896 * [backup-simplify]: Simplify 0 into 0 0.896 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.902 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.902 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.905 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.905 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.905 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 k) 3)) (+ (* +nan.0 (pow (/ 1 k) 2)) (* +nan.0 (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 0.905 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 (- k)))) into (/ 1 (sqrt (/ -1 k))) 0.905 * [approximate]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in (k) around 0 0.905 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 0.905 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.905 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.905 * [taylor]: Taking taylor expansion of -1 in k 0.905 * [backup-simplify]: Simplify -1 into -1 0.905 * [taylor]: Taking taylor expansion of k in k 0.906 * [backup-simplify]: Simplify 0 into 0 0.906 * [backup-simplify]: Simplify 1 into 1 0.906 * [backup-simplify]: Simplify (/ -1 1) into -1 0.906 * [backup-simplify]: Simplify (sqrt 0) into 0 0.907 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.907 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 0.907 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 0.907 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.907 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.907 * [taylor]: Taking taylor expansion of -1 in k 0.907 * [backup-simplify]: Simplify -1 into -1 0.907 * [taylor]: Taking taylor expansion of k in k 0.907 * [backup-simplify]: Simplify 0 into 0 0.907 * [backup-simplify]: Simplify 1 into 1 0.908 * [backup-simplify]: Simplify (/ -1 1) into -1 0.908 * [backup-simplify]: Simplify (sqrt 0) into 0 0.909 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.910 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 0.910 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.911 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.914 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.916 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 0.916 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.917 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.921 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.925 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 0.926 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.927 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 0.927 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.927 * [backup-simplify]: Simplify (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) 0.927 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (k n) around 0 0.927 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 0.927 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.928 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.928 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.928 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.928 * [taylor]: Taking taylor expansion of 1/2 in n 0.928 * [backup-simplify]: Simplify 1/2 into 1/2 0.928 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.928 * [taylor]: Taking taylor expansion of 1 in n 0.928 * [backup-simplify]: Simplify 1 into 1 0.928 * [taylor]: Taking taylor expansion of k in n 0.928 * [backup-simplify]: Simplify k into k 0.928 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.928 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.928 * [taylor]: Taking taylor expansion of 2 in n 0.928 * [backup-simplify]: Simplify 2 into 2 0.928 * [taylor]: Taking taylor expansion of (* n PI) in n 0.928 * [taylor]: Taking taylor expansion of n in n 0.928 * [backup-simplify]: Simplify 0 into 0 0.928 * [backup-simplify]: Simplify 1 into 1 0.928 * [taylor]: Taking taylor expansion of PI in n 0.928 * [backup-simplify]: Simplify PI into PI 0.928 * [backup-simplify]: Simplify (* 0 PI) into 0 0.929 * [backup-simplify]: Simplify (* 2 0) into 0 0.930 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.932 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.933 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.933 * [backup-simplify]: Simplify (- k) into (- k) 0.933 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.933 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 0.935 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.936 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 0.937 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0.937 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.937 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.937 * [taylor]: Taking taylor expansion of k in n 0.937 * [backup-simplify]: Simplify k into k 0.937 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.937 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 0.937 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.937 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 0.938 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 0.938 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 0.938 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 0.938 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 0.938 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 0.938 * [taylor]: Taking taylor expansion of 1/2 in k 0.938 * [backup-simplify]: Simplify 1/2 into 1/2 0.938 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.938 * [taylor]: Taking taylor expansion of 1 in k 0.938 * [backup-simplify]: Simplify 1 into 1 0.938 * [taylor]: Taking taylor expansion of k in k 0.938 * [backup-simplify]: Simplify 0 into 0 0.938 * [backup-simplify]: Simplify 1 into 1 0.938 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 0.938 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 0.938 * [taylor]: Taking taylor expansion of 2 in k 0.938 * [backup-simplify]: Simplify 2 into 2 0.938 * [taylor]: Taking taylor expansion of (* n PI) in k 0.938 * [taylor]: Taking taylor expansion of n in k 0.938 * [backup-simplify]: Simplify n into n 0.938 * [taylor]: Taking taylor expansion of PI in k 0.938 * [backup-simplify]: Simplify PI into PI 0.939 * [backup-simplify]: Simplify (* n PI) into (* n PI) 0.939 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 0.939 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 0.939 * [backup-simplify]: Simplify (- 0) into 0 0.940 * [backup-simplify]: Simplify (+ 1 0) into 1 0.940 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.940 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 0.940 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 0.940 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.940 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.940 * [taylor]: Taking taylor expansion of k in k 0.940 * [backup-simplify]: Simplify 0 into 0 0.940 * [backup-simplify]: Simplify 1 into 1 0.941 * [backup-simplify]: Simplify (/ 1 1) into 1 0.941 * [backup-simplify]: Simplify (sqrt 0) into 0 0.943 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.943 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 0.943 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 0.943 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 0.943 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 0.943 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 0.943 * [taylor]: Taking taylor expansion of 1/2 in k 0.943 * [backup-simplify]: Simplify 1/2 into 1/2 0.943 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.943 * [taylor]: Taking taylor expansion of 1 in k 0.943 * [backup-simplify]: Simplify 1 into 1 0.943 * [taylor]: Taking taylor expansion of k in k 0.943 * [backup-simplify]: Simplify 0 into 0 0.943 * [backup-simplify]: Simplify 1 into 1 0.943 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 0.943 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 0.943 * [taylor]: Taking taylor expansion of 2 in k 0.943 * [backup-simplify]: Simplify 2 into 2 0.943 * [taylor]: Taking taylor expansion of (* n PI) in k 0.943 * [taylor]: Taking taylor expansion of n in k 0.943 * [backup-simplify]: Simplify n into n 0.943 * [taylor]: Taking taylor expansion of PI in k 0.943 * [backup-simplify]: Simplify PI into PI 0.944 * [backup-simplify]: Simplify (* n PI) into (* n PI) 0.944 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 0.944 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 0.944 * [backup-simplify]: Simplify (- 0) into 0 0.945 * [backup-simplify]: Simplify (+ 1 0) into 1 0.945 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.945 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 0.945 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 0.945 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.945 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.945 * [taylor]: Taking taylor expansion of k in k 0.945 * [backup-simplify]: Simplify 0 into 0 0.945 * [backup-simplify]: Simplify 1 into 1 0.946 * [backup-simplify]: Simplify (/ 1 1) into 1 0.946 * [backup-simplify]: Simplify (sqrt 0) into 0 0.948 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.948 * [backup-simplify]: Simplify (* (pow (* 2 (* n PI)) 1/2) 0) into 0 0.948 * [taylor]: Taking taylor expansion of 0 in n 0.948 * [backup-simplify]: Simplify 0 into 0 0.948 * [backup-simplify]: Simplify 0 into 0 0.949 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 0.949 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 0.950 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 0.950 * [backup-simplify]: Simplify (- 1) into -1 0.951 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.952 * [backup-simplify]: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2 0.952 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 0.952 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1)))) into (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) 0.953 * [backup-simplify]: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) 0.953 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 0.953 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 0.953 * [taylor]: Taking taylor expansion of +nan.0 in n 0.953 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.953 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 0.953 * [taylor]: Taking taylor expansion of (sqrt 2) in n 0.953 * [taylor]: Taking taylor expansion of 2 in n 0.953 * [backup-simplify]: Simplify 2 into 2 0.953 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.954 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.954 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 0.954 * [taylor]: Taking taylor expansion of (* n PI) in n 0.954 * [taylor]: Taking taylor expansion of n in n 0.954 * [backup-simplify]: Simplify 0 into 0 0.954 * [backup-simplify]: Simplify 1 into 1 0.954 * [taylor]: Taking taylor expansion of PI in n 0.954 * [backup-simplify]: Simplify PI into PI 0.955 * [backup-simplify]: Simplify (* 0 PI) into 0 0.956 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.957 * [backup-simplify]: Simplify (sqrt 0) into 0 0.958 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 0.958 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 0.959 * [backup-simplify]: Simplify (* +nan.0 0) into 0 0.959 * [backup-simplify]: Simplify (- 0) into 0 0.959 * [backup-simplify]: Simplify 0 into 0 0.959 * [backup-simplify]: Simplify 0 into 0 0.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.963 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.964 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 0.964 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 0.966 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 1)))) 2) into 0 0.966 * [backup-simplify]: Simplify (- 0) into 0 0.967 * [backup-simplify]: Simplify (+ 0 0) into 0 0.968 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0 0.969 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 0.970 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) 0.971 * [backup-simplify]: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (+ (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) +nan.0) (* (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) 0.971 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) in n 0.971 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))) in n 0.971 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 0.971 * [taylor]: Taking taylor expansion of +nan.0 in n 0.971 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.971 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 0.971 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 0.971 * [taylor]: Taking taylor expansion of (sqrt 2) in n 0.971 * [taylor]: Taking taylor expansion of 2 in n 0.971 * [backup-simplify]: Simplify 2 into 2 0.972 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.972 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.972 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.972 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.972 * [taylor]: Taking taylor expansion of 2 in n 0.972 * [backup-simplify]: Simplify 2 into 2 0.972 * [taylor]: Taking taylor expansion of (* n PI) in n 0.972 * [taylor]: Taking taylor expansion of n in n 0.972 * [backup-simplify]: Simplify 0 into 0 0.973 * [backup-simplify]: Simplify 1 into 1 0.973 * [taylor]: Taking taylor expansion of PI in n 0.973 * [backup-simplify]: Simplify PI into PI 0.973 * [backup-simplify]: Simplify (* 0 PI) into 0 0.973 * [backup-simplify]: Simplify (* 2 0) into 0 0.975 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.977 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.978 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.978 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 0.978 * [taylor]: Taking taylor expansion of (* n PI) in n 0.978 * [taylor]: Taking taylor expansion of n in n 0.978 * [backup-simplify]: Simplify 0 into 0 0.978 * [backup-simplify]: Simplify 1 into 1 0.978 * [taylor]: Taking taylor expansion of PI in n 0.978 * [backup-simplify]: Simplify PI into PI 0.979 * [backup-simplify]: Simplify (* 0 PI) into 0 0.980 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.980 * [backup-simplify]: Simplify (sqrt 0) into 0 0.982 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 0.982 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 0.982 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 0.982 * [taylor]: Taking taylor expansion of +nan.0 in n 0.982 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.982 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 0.982 * [taylor]: Taking taylor expansion of (sqrt 2) in n 0.982 * [taylor]: Taking taylor expansion of 2 in n 0.982 * [backup-simplify]: Simplify 2 into 2 0.982 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.983 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.983 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 0.983 * [taylor]: Taking taylor expansion of (* n PI) in n 0.983 * [taylor]: Taking taylor expansion of n in n 0.983 * [backup-simplify]: Simplify 0 into 0 0.983 * [backup-simplify]: Simplify 1 into 1 0.983 * [taylor]: Taking taylor expansion of PI in n 0.983 * [backup-simplify]: Simplify PI into PI 0.984 * [backup-simplify]: Simplify (* 0 PI) into 0 0.985 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.985 * [backup-simplify]: Simplify (sqrt 0) into 0 0.987 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 0.988 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.990 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0.991 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 0.991 * [backup-simplify]: Simplify (* +nan.0 0) into 0 0.992 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 0.992 * [backup-simplify]: Simplify (* +nan.0 0) into 0 0.993 * [backup-simplify]: Simplify (- 0) into 0 0.993 * [backup-simplify]: Simplify (+ 0 0) into 0 0.994 * [backup-simplify]: Simplify (- 0) into 0 0.994 * [backup-simplify]: Simplify 0 into 0 0.996 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1.002 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1.005 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1.007 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1.007 * [backup-simplify]: Simplify 0 into 0 1.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.012 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.013 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.014 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 1.017 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 (* n PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 (* n PI)) 1)))) 6) into 0 1.017 * [backup-simplify]: Simplify (- 0) into 0 1.018 * [backup-simplify]: Simplify (+ 0 0) into 0 1.019 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))) into 0 1.020 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0 1.022 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3))) 1.023 * [backup-simplify]: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (+ (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) +nan.0) (+ (* (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) +nan.0) (* (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3))) 0)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))))))) 1.023 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))))))) in n 1.023 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))))))) in n 1.023 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 1.023 * [taylor]: Taking taylor expansion of +nan.0 in n 1.023 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.023 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 1.023 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 1.023 * [taylor]: Taking taylor expansion of (sqrt 2) in n 1.023 * [taylor]: Taking taylor expansion of 2 in n 1.023 * [backup-simplify]: Simplify 2 into 2 1.024 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 1.025 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1.025 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 1.025 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 1.025 * [taylor]: Taking taylor expansion of 2 in n 1.025 * [backup-simplify]: Simplify 2 into 2 1.025 * [taylor]: Taking taylor expansion of (* n PI) in n 1.025 * [taylor]: Taking taylor expansion of n in n 1.025 * [backup-simplify]: Simplify 0 into 0 1.025 * [backup-simplify]: Simplify 1 into 1 1.025 * [taylor]: Taking taylor expansion of PI in n 1.025 * [backup-simplify]: Simplify PI into PI 1.025 * [backup-simplify]: Simplify (* 0 PI) into 0 1.026 * [backup-simplify]: Simplify (* 2 0) into 0 1.027 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.029 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1.030 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.030 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 1.030 * [taylor]: Taking taylor expansion of (* n PI) in n 1.030 * [taylor]: Taking taylor expansion of n in n 1.030 * [backup-simplify]: Simplify 0 into 0 1.030 * [backup-simplify]: Simplify 1 into 1 1.030 * [taylor]: Taking taylor expansion of PI in n 1.030 * [backup-simplify]: Simplify PI into PI 1.030 * [backup-simplify]: Simplify (* 0 PI) into 0 1.032 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.032 * [backup-simplify]: Simplify (sqrt 0) into 0 1.034 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1.034 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))))) in n 1.034 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))))) in n 1.034 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1.034 * [taylor]: Taking taylor expansion of +nan.0 in n 1.034 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.034 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1.034 * [taylor]: Taking taylor expansion of (sqrt 2) in n 1.034 * [taylor]: Taking taylor expansion of 2 in n 1.034 * [backup-simplify]: Simplify 2 into 2 1.034 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 1.035 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1.035 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 1.035 * [taylor]: Taking taylor expansion of (* n PI) in n 1.035 * [taylor]: Taking taylor expansion of n in n 1.035 * [backup-simplify]: Simplify 0 into 0 1.035 * [backup-simplify]: Simplify 1 into 1 1.035 * [taylor]: Taking taylor expansion of PI in n 1.035 * [backup-simplify]: Simplify PI into PI 1.035 * [backup-simplify]: Simplify (* 0 PI) into 0 1.037 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.037 * [backup-simplify]: Simplify (sqrt 0) into 0 1.038 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1.038 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))) in n 1.038 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n 1.039 * [taylor]: Taking taylor expansion of +nan.0 in n 1.039 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.039 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n 1.039 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n 1.039 * [taylor]: Taking taylor expansion of (sqrt 2) in n 1.039 * [taylor]: Taking taylor expansion of 2 in n 1.039 * [backup-simplify]: Simplify 2 into 2 1.039 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 1.040 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1.040 * [taylor]: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n 1.040 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 1.040 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 1.040 * [taylor]: Taking taylor expansion of 2 in n 1.040 * [backup-simplify]: Simplify 2 into 2 1.040 * [taylor]: Taking taylor expansion of (* n PI) in n 1.040 * [taylor]: Taking taylor expansion of n in n 1.040 * [backup-simplify]: Simplify 0 into 0 1.040 * [backup-simplify]: Simplify 1 into 1 1.040 * [taylor]: Taking taylor expansion of PI in n 1.040 * [backup-simplify]: Simplify PI into PI 1.047 * [backup-simplify]: Simplify (* 0 PI) into 0 1.048 * [backup-simplify]: Simplify (* 2 0) into 0 1.049 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.051 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1.052 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.053 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1.053 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 1.053 * [taylor]: Taking taylor expansion of (* n PI) in n 1.053 * [taylor]: Taking taylor expansion of n in n 1.053 * [backup-simplify]: Simplify 0 into 0 1.053 * [backup-simplify]: Simplify 1 into 1 1.053 * [taylor]: Taking taylor expansion of PI in n 1.053 * [backup-simplify]: Simplify PI into PI 1.054 * [backup-simplify]: Simplify (* 0 PI) into 0 1.055 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.056 * [backup-simplify]: Simplify (sqrt 0) into 0 1.057 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1.058 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1.060 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 1.061 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 1.061 * [backup-simplify]: Simplify (* +nan.0 0) into 0 1.062 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 1.062 * [backup-simplify]: Simplify (* +nan.0 0) into 0 1.064 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1.065 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1.067 * [backup-simplify]: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2) 1.068 * [backup-simplify]: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 1.070 * [backup-simplify]: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0 1.070 * [backup-simplify]: Simplify (* +nan.0 0) into 0 1.071 * [backup-simplify]: Simplify (- 0) into 0 1.071 * [backup-simplify]: Simplify (+ 0 0) into 0 1.072 * [backup-simplify]: Simplify (- 0) into 0 1.072 * [backup-simplify]: Simplify (+ 0 0) into 0 1.072 * [backup-simplify]: Simplify (- 0) into 0 1.072 * [backup-simplify]: Simplify 0 into 0 1.073 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1.074 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1.076 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1.077 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1.079 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1.081 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) (* +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 1.088 * [backup-simplify]: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 1.091 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1.096 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1.099 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1.107 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) (- (* +nan.0 (* (sqrt 2) PI)))) into (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))))) 1.115 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1.122 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1.123 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1.127 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1.128 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1.133 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1.141 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1.145 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1.148 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1.162 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) (* n k)) (* (- (* +nan.0 (* (sqrt 2) PI))) (* n 1)))) into (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))) 1.162 * [backup-simplify]: Simplify (* (/ 1 (sqrt (/ 1 k))) (pow (* (* 2 PI) (/ 1 n)) (/ (- 1 (/ 1 k)) 2))) into (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) 1.162 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (k n) around 0 1.163 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 1.163 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 1.163 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1.163 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1.163 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 1.163 * [taylor]: Taking taylor expansion of 1/2 in n 1.163 * [backup-simplify]: Simplify 1/2 into 1/2 1.163 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 1.163 * [taylor]: Taking taylor expansion of 1 in n 1.163 * [backup-simplify]: Simplify 1 into 1 1.163 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.163 * [taylor]: Taking taylor expansion of k in n 1.163 * [backup-simplify]: Simplify k into k 1.163 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.163 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.163 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.163 * [taylor]: Taking taylor expansion of 2 in n 1.163 * [backup-simplify]: Simplify 2 into 2 1.163 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.163 * [taylor]: Taking taylor expansion of PI in n 1.163 * [backup-simplify]: Simplify PI into PI 1.163 * [taylor]: Taking taylor expansion of n in n 1.163 * [backup-simplify]: Simplify 0 into 0 1.163 * [backup-simplify]: Simplify 1 into 1 1.164 * [backup-simplify]: Simplify (/ PI 1) into PI 1.164 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.165 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.165 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.165 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1.165 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 1.167 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.168 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 1.169 * [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))))) 1.169 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.169 * [taylor]: Taking taylor expansion of k in n 1.169 * [backup-simplify]: Simplify k into k 1.169 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 1.169 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 1.169 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 1.169 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 1.169 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1.169 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1.169 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 1.169 * [taylor]: Taking taylor expansion of 1/2 in k 1.169 * [backup-simplify]: Simplify 1/2 into 1/2 1.169 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 1.169 * [taylor]: Taking taylor expansion of 1 in k 1.169 * [backup-simplify]: Simplify 1 into 1 1.169 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.169 * [taylor]: Taking taylor expansion of k in k 1.169 * [backup-simplify]: Simplify 0 into 0 1.169 * [backup-simplify]: Simplify 1 into 1 1.170 * [backup-simplify]: Simplify (/ 1 1) into 1 1.170 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1.170 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 1.170 * [taylor]: Taking taylor expansion of 2 in k 1.170 * [backup-simplify]: Simplify 2 into 2 1.170 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.170 * [taylor]: Taking taylor expansion of PI in k 1.170 * [backup-simplify]: Simplify PI into PI 1.170 * [taylor]: Taking taylor expansion of n in k 1.170 * [backup-simplify]: Simplify n into n 1.170 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.170 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1.170 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1.171 * [backup-simplify]: Simplify (- 1) into -1 1.171 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.171 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 1.171 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1.172 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 1.172 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.172 * [taylor]: Taking taylor expansion of k in k 1.172 * [backup-simplify]: Simplify 0 into 0 1.172 * [backup-simplify]: Simplify 1 into 1 1.172 * [backup-simplify]: Simplify (sqrt 0) into 0 1.174 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.174 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 1.174 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 1.174 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1.174 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1.174 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 1.174 * [taylor]: Taking taylor expansion of 1/2 in k 1.174 * [backup-simplify]: Simplify 1/2 into 1/2 1.174 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 1.174 * [taylor]: Taking taylor expansion of 1 in k 1.174 * [backup-simplify]: Simplify 1 into 1 1.174 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.174 * [taylor]: Taking taylor expansion of k in k 1.174 * [backup-simplify]: Simplify 0 into 0 1.174 * [backup-simplify]: Simplify 1 into 1 1.174 * [backup-simplify]: Simplify (/ 1 1) into 1 1.174 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1.174 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 1.174 * [taylor]: Taking taylor expansion of 2 in k 1.174 * [backup-simplify]: Simplify 2 into 2 1.174 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.175 * [taylor]: Taking taylor expansion of PI in k 1.175 * [backup-simplify]: Simplify PI into PI 1.175 * [taylor]: Taking taylor expansion of n in k 1.175 * [backup-simplify]: Simplify n into n 1.175 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.175 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1.175 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1.175 * [backup-simplify]: Simplify (- 1) into -1 1.176 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.176 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 1.176 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1.176 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 1.176 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.176 * [taylor]: Taking taylor expansion of k in k 1.176 * [backup-simplify]: Simplify 0 into 0 1.176 * [backup-simplify]: Simplify 1 into 1 1.177 * [backup-simplify]: Simplify (sqrt 0) into 0 1.178 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.178 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 0) into 0 1.178 * [taylor]: Taking taylor expansion of 0 in n 1.178 * [backup-simplify]: Simplify 0 into 0 1.178 * [backup-simplify]: Simplify 0 into 0 1.185 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) 1.185 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 1.185 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 1.185 * [taylor]: Taking taylor expansion of +nan.0 in n 1.185 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.185 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 1.185 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 1.185 * [taylor]: Taking taylor expansion of 1/2 in n 1.185 * [backup-simplify]: Simplify 1/2 into 1/2 1.185 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 1.185 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 1.185 * [taylor]: Taking taylor expansion of 1 in n 1.185 * [backup-simplify]: Simplify 1 into 1 1.185 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.185 * [taylor]: Taking taylor expansion of k in n 1.185 * [backup-simplify]: Simplify k into k 1.185 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.185 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.185 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.185 * [taylor]: Taking taylor expansion of 2 in n 1.185 * [backup-simplify]: Simplify 2 into 2 1.185 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.185 * [taylor]: Taking taylor expansion of PI in n 1.186 * [backup-simplify]: Simplify PI into PI 1.186 * [taylor]: Taking taylor expansion of n in n 1.186 * [backup-simplify]: Simplify 0 into 0 1.186 * [backup-simplify]: Simplify 1 into 1 1.186 * [backup-simplify]: Simplify (/ PI 1) into PI 1.187 * [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)) into (- (/ 1 k)) 1.188 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1.190 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.191 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 1.192 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 1.193 * [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))))) 1.194 * [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)))))) 1.195 * [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))))))) 1.197 * [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))))))) 1.197 * [backup-simplify]: Simplify 0 into 0 1.200 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.201 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) 1.201 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 1.201 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 1.201 * [taylor]: Taking taylor expansion of +nan.0 in n 1.201 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.201 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 1.201 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 1.201 * [taylor]: Taking taylor expansion of 1/2 in n 1.201 * [backup-simplify]: Simplify 1/2 into 1/2 1.201 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 1.201 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 1.201 * [taylor]: Taking taylor expansion of 1 in n 1.201 * [backup-simplify]: Simplify 1 into 1 1.201 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.201 * [taylor]: Taking taylor expansion of k in n 1.201 * [backup-simplify]: Simplify k into k 1.201 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.201 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.201 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.201 * [taylor]: Taking taylor expansion of 2 in n 1.201 * [backup-simplify]: Simplify 2 into 2 1.202 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.202 * [taylor]: Taking taylor expansion of PI in n 1.202 * [backup-simplify]: Simplify PI into PI 1.202 * [taylor]: Taking taylor expansion of n in n 1.202 * [backup-simplify]: Simplify 0 into 0 1.202 * [backup-simplify]: Simplify 1 into 1 1.202 * [backup-simplify]: Simplify (/ PI 1) into PI 1.203 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.204 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.204 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.204 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1.205 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.206 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 1.207 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 1.208 * [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))))) 1.209 * [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)))))) 1.211 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 1.212 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 1.213 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.213 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 1.215 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1.215 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.216 * [backup-simplify]: Simplify (- 0) into 0 1.216 * [backup-simplify]: Simplify (+ 0 0) into 0 1.217 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.218 * [backup-simplify]: Simplify (+ (* (- 1 (/ 1 k)) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1.220 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into 0 1.221 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.222 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into 0 1.222 * [backup-simplify]: Simplify (- 0) into 0 1.222 * [backup-simplify]: Simplify 0 into 0 1.222 * [backup-simplify]: Simplify 0 into 0 1.224 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.225 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) 1.225 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 1.225 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 1.225 * [taylor]: Taking taylor expansion of +nan.0 in n 1.225 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.225 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 1.225 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 1.225 * [taylor]: Taking taylor expansion of 1/2 in n 1.225 * [backup-simplify]: Simplify 1/2 into 1/2 1.225 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 1.225 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 1.225 * [taylor]: Taking taylor expansion of 1 in n 1.225 * [backup-simplify]: Simplify 1 into 1 1.225 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.225 * [taylor]: Taking taylor expansion of k in n 1.225 * [backup-simplify]: Simplify k into k 1.225 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.225 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.225 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.225 * [taylor]: Taking taylor expansion of 2 in n 1.225 * [backup-simplify]: Simplify 2 into 2 1.225 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.225 * [taylor]: Taking taylor expansion of PI in n 1.225 * [backup-simplify]: Simplify PI into PI 1.225 * [taylor]: Taking taylor expansion of n in n 1.225 * [backup-simplify]: Simplify 0 into 0 1.225 * [backup-simplify]: Simplify 1 into 1 1.226 * [backup-simplify]: Simplify (/ PI 1) into PI 1.226 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.227 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.227 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.227 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1.228 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.228 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 1.229 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 1.229 * [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))))) 1.230 * [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)))))) 1.231 * [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))))))) 1.232 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 1.234 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3)))))))) 1.234 * [backup-simplify]: Simplify (* (/ 1 (sqrt (/ 1 (- k)))) (pow (* (* 2 PI) (/ 1 (- n))) (/ (- 1 (/ 1 (- k))) 2))) into (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) 1.234 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (k n) around 0 1.234 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 1.234 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 1.234 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 1.235 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 1.235 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 1.235 * [taylor]: Taking taylor expansion of 1/2 in n 1.235 * [backup-simplify]: Simplify 1/2 into 1/2 1.235 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 1.235 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.235 * [taylor]: Taking taylor expansion of k in n 1.235 * [backup-simplify]: Simplify k into k 1.235 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.235 * [taylor]: Taking taylor expansion of 1 in n 1.235 * [backup-simplify]: Simplify 1 into 1 1.235 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.235 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.235 * [taylor]: Taking taylor expansion of -2 in n 1.235 * [backup-simplify]: Simplify -2 into -2 1.235 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.235 * [taylor]: Taking taylor expansion of PI in n 1.235 * [backup-simplify]: Simplify PI into PI 1.235 * [taylor]: Taking taylor expansion of n in n 1.235 * [backup-simplify]: Simplify 0 into 0 1.235 * [backup-simplify]: Simplify 1 into 1 1.235 * [backup-simplify]: Simplify (/ PI 1) into PI 1.235 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.236 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.236 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1.236 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 1.237 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.238 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 1.238 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 1.238 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.238 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.238 * [taylor]: Taking taylor expansion of -1 in n 1.238 * [backup-simplify]: Simplify -1 into -1 1.238 * [taylor]: Taking taylor expansion of k in n 1.238 * [backup-simplify]: Simplify k into k 1.238 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 1.238 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1.239 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1.239 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1.239 * [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))) 1.239 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 1.239 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 1.239 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 1.239 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 1.239 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 1.239 * [taylor]: Taking taylor expansion of 1/2 in k 1.239 * [backup-simplify]: Simplify 1/2 into 1/2 1.239 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 1.240 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.240 * [taylor]: Taking taylor expansion of k in k 1.240 * [backup-simplify]: Simplify 0 into 0 1.240 * [backup-simplify]: Simplify 1 into 1 1.240 * [backup-simplify]: Simplify (/ 1 1) into 1 1.240 * [taylor]: Taking taylor expansion of 1 in k 1.240 * [backup-simplify]: Simplify 1 into 1 1.240 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1.240 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 1.240 * [taylor]: Taking taylor expansion of -2 in k 1.240 * [backup-simplify]: Simplify -2 into -2 1.240 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.240 * [taylor]: Taking taylor expansion of PI in k 1.240 * [backup-simplify]: Simplify PI into PI 1.240 * [taylor]: Taking taylor expansion of n in k 1.240 * [backup-simplify]: Simplify n into n 1.240 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.240 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1.240 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1.240 * [backup-simplify]: Simplify (+ 1 0) into 1 1.241 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.241 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1.241 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 1.241 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.241 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.241 * [taylor]: Taking taylor expansion of -1 in k 1.241 * [backup-simplify]: Simplify -1 into -1 1.241 * [taylor]: Taking taylor expansion of k in k 1.241 * [backup-simplify]: Simplify 0 into 0 1.241 * [backup-simplify]: Simplify 1 into 1 1.241 * [backup-simplify]: Simplify (/ -1 1) into -1 1.241 * [backup-simplify]: Simplify (sqrt 0) into 0 1.242 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.242 * [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))))) 1.242 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 1.242 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 1.242 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 1.242 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 1.242 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 1.243 * [taylor]: Taking taylor expansion of 1/2 in k 1.243 * [backup-simplify]: Simplify 1/2 into 1/2 1.243 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 1.243 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.243 * [taylor]: Taking taylor expansion of k in k 1.243 * [backup-simplify]: Simplify 0 into 0 1.243 * [backup-simplify]: Simplify 1 into 1 1.243 * [backup-simplify]: Simplify (/ 1 1) into 1 1.243 * [taylor]: Taking taylor expansion of 1 in k 1.243 * [backup-simplify]: Simplify 1 into 1 1.243 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1.243 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 1.243 * [taylor]: Taking taylor expansion of -2 in k 1.243 * [backup-simplify]: Simplify -2 into -2 1.243 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.243 * [taylor]: Taking taylor expansion of PI in k 1.243 * [backup-simplify]: Simplify PI into PI 1.243 * [taylor]: Taking taylor expansion of n in k 1.243 * [backup-simplify]: Simplify n into n 1.243 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.243 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1.243 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1.243 * [backup-simplify]: Simplify (+ 1 0) into 1 1.244 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.244 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1.244 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 1.244 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.244 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.244 * [taylor]: Taking taylor expansion of -1 in k 1.244 * [backup-simplify]: Simplify -1 into -1 1.244 * [taylor]: Taking taylor expansion of k in k 1.244 * [backup-simplify]: Simplify 0 into 0 1.244 * [backup-simplify]: Simplify 1 into 1 1.244 * [backup-simplify]: Simplify (/ -1 1) into -1 1.244 * [backup-simplify]: Simplify (sqrt 0) into 0 1.245 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.245 * [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))))) 1.245 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 1.246 * [taylor]: Taking taylor expansion of +nan.0 in n 1.246 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.246 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 1.246 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 1.246 * [taylor]: Taking taylor expansion of 1/2 in n 1.246 * [backup-simplify]: Simplify 1/2 into 1/2 1.246 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 1.246 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.246 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.246 * [taylor]: Taking taylor expansion of -2 in n 1.246 * [backup-simplify]: Simplify -2 into -2 1.246 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.246 * [taylor]: Taking taylor expansion of PI in n 1.246 * [backup-simplify]: Simplify PI into PI 1.246 * [taylor]: Taking taylor expansion of n in n 1.246 * [backup-simplify]: Simplify 0 into 0 1.246 * [backup-simplify]: Simplify 1 into 1 1.246 * [backup-simplify]: Simplify (/ PI 1) into PI 1.246 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.247 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.247 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 1.247 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.247 * [taylor]: Taking taylor expansion of k in n 1.247 * [backup-simplify]: Simplify k into k 1.247 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.247 * [taylor]: Taking taylor expansion of 1 in n 1.247 * [backup-simplify]: Simplify 1 into 1 1.248 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.248 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1.249 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 1.249 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 1.250 * [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))))) 1.251 * [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)))))) 1.251 * [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)))))) 1.252 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.254 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.254 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) 1.254 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n 1.255 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 1.255 * [taylor]: Taking taylor expansion of +nan.0 in n 1.255 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.255 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 1.255 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 1.255 * [taylor]: Taking taylor expansion of 1/2 in n 1.255 * [backup-simplify]: Simplify 1/2 into 1/2 1.255 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 1.255 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.255 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.255 * [taylor]: Taking taylor expansion of -2 in n 1.255 * [backup-simplify]: Simplify -2 into -2 1.255 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.255 * [taylor]: Taking taylor expansion of PI in n 1.255 * [backup-simplify]: Simplify PI into PI 1.255 * [taylor]: Taking taylor expansion of n in n 1.255 * [backup-simplify]: Simplify 0 into 0 1.255 * [backup-simplify]: Simplify 1 into 1 1.255 * [backup-simplify]: Simplify (/ PI 1) into PI 1.255 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.256 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.256 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 1.257 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.257 * [taylor]: Taking taylor expansion of k in n 1.257 * [backup-simplify]: Simplify k into k 1.257 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.257 * [taylor]: Taking taylor expansion of 1 in n 1.257 * [backup-simplify]: Simplify 1 into 1 1.258 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.258 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1.259 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 1.260 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 1.261 * [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))))) 1.262 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) 1.264 * [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))))))) 1.265 * [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))))))) 1.266 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.266 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.267 * [backup-simplify]: Simplify (+ 0 0) into 0 1.267 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.268 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 1.270 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1.271 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (/ 1 k) 1))) into 0 1.272 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into 0 1.274 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.276 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into 0 1.276 * [backup-simplify]: Simplify 0 into 0 1.277 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.281 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.283 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) 1.283 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n 1.283 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 1.283 * [taylor]: Taking taylor expansion of +nan.0 in n 1.283 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.283 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 1.283 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 1.283 * [taylor]: Taking taylor expansion of 1/2 in n 1.283 * [backup-simplify]: Simplify 1/2 into 1/2 1.283 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 1.283 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.283 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.283 * [taylor]: Taking taylor expansion of -2 in n 1.283 * [backup-simplify]: Simplify -2 into -2 1.283 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.283 * [taylor]: Taking taylor expansion of PI in n 1.283 * [backup-simplify]: Simplify PI into PI 1.283 * [taylor]: Taking taylor expansion of n in n 1.283 * [backup-simplify]: Simplify 0 into 0 1.283 * [backup-simplify]: Simplify 1 into 1 1.284 * [backup-simplify]: Simplify (/ PI 1) into PI 1.284 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.285 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.285 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 1.285 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.285 * [taylor]: Taking taylor expansion of k in n 1.285 * [backup-simplify]: Simplify k into k 1.285 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.285 * [taylor]: Taking taylor expansion of 1 in n 1.285 * [backup-simplify]: Simplify 1 into 1 1.287 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.287 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1.288 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 1.289 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 1.290 * [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))))) 1.291 * [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)))))) 1.293 * [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))))))) 1.294 * [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))))))) 1.298 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))))))) 1.298 * * * [progress]: simplifying candidates 1.298 * * * * [progress]: [ 1 / 188 ] simplifiying candidate # 1.299 * [simplify]: Simplifying (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)) 1.299 * * [simplify]: iters left: 6 (13 enodes) 1.311 * * [simplify]: iters left: 5 (54 enodes) 1.320 * * [simplify]: iters left: 4 (97 enodes) 1.340 * * [simplify]: iters left: 3 (246 enodes) 1.428 * * [simplify]: Extracting #0: cost 1 inf + 0 1.428 * * [simplify]: Extracting #1: cost 28 inf + 0 1.428 * * [simplify]: Extracting #2: cost 93 inf + 2 1.428 * * [simplify]: Extracting #3: cost 138 inf + 186 1.429 * * [simplify]: Extracting #4: cost 108 inf + 3370 1.433 * * [simplify]: Extracting #5: cost 33 inf + 22278 1.439 * * [simplify]: Extracting #6: cost 2 inf + 32881 1.445 * * [simplify]: Extracting #7: cost 0 inf + 33789 1.451 * [simplify]: Simplified to (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2) 1.451 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (exp (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2)))) 1.451 * * * * [progress]: [ 2 / 188 ] simplifiying candidate # 1.452 * [simplify]: Simplifying (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)) 1.452 * * [simplify]: iters left: 6 (12 enodes) 1.456 * * [simplify]: iters left: 5 (52 enodes) 1.465 * * [simplify]: iters left: 4 (90 enodes) 1.493 * * [simplify]: iters left: 3 (201 enodes) 1.586 * * [simplify]: iters left: 2 (496 enodes) 1.855 * * [simplify]: Extracting #0: cost 1 inf + 0 1.856 * * [simplify]: Extracting #1: cost 22 inf + 0 1.856 * * [simplify]: Extracting #2: cost 123 inf + 2 1.857 * * [simplify]: Extracting #3: cost 296 inf + 186 1.859 * * [simplify]: Extracting #4: cost 244 inf + 9812 1.867 * * [simplify]: Extracting #5: cost 93 inf + 50654 1.887 * * [simplify]: Extracting #6: cost 0 inf + 82473 1.906 * * [simplify]: Extracting #7: cost 0 inf + 82467 1.923 * [simplify]: Simplified to (/ (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)) 2) 1.923 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (exp (/ (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)) 2)))) 1.923 * * * * [progress]: [ 3 / 188 ] simplifiying candidate # 1.927 * [simplify]: Simplifying (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)) 1.927 * * [simplify]: iters left: 6 (11 enodes) 1.934 * * [simplify]: iters left: 5 (51 enodes) 1.946 * * [simplify]: iters left: 4 (97 enodes) 1.962 * * [simplify]: iters left: 3 (198 enodes) 2.027 * * [simplify]: iters left: 2 (492 enodes) 2.341 * * [simplify]: Extracting #0: cost 1 inf + 0 2.341 * * [simplify]: Extracting #1: cost 27 inf + 0 2.342 * * [simplify]: Extracting #2: cost 138 inf + 2 2.344 * * [simplify]: Extracting #3: cost 300 inf + 352 2.348 * * [simplify]: Extracting #4: cost 251 inf + 8938 2.375 * * [simplify]: Extracting #5: cost 48 inf + 62855 2.405 * * [simplify]: Extracting #6: cost 0 inf + 74672 2.436 * * [simplify]: Extracting #7: cost 0 inf + 74341 2.458 * [simplify]: Simplified to (/ (- (log (* (* 2 PI) n)) (* k (log (* (* 2 PI) n)))) 2) 2.459 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (exp (/ (- (log (* (* 2 PI) n)) (* k (log (* (* 2 PI) n)))) 2)))) 2.459 * * * * [progress]: [ 4 / 188 ] simplifiying candidate # 2.459 * * * * [progress]: [ 5 / 188 ] simplifiying candidate # 2.459 * [simplify]: Simplifying (* (* 2 PI) n) 2.459 * * [simplify]: iters left: 4 (5 enodes) 2.461 * * [simplify]: iters left: 3 (19 enodes) 2.464 * * [simplify]: iters left: 2 (27 enodes) 2.468 * * [simplify]: iters left: 1 (32 enodes) 2.472 * * [simplify]: Extracting #0: cost 1 inf + 0 2.472 * * [simplify]: Extracting #1: cost 8 inf + 0 2.472 * * [simplify]: Extracting #2: cost 7 inf + 45 2.472 * * [simplify]: Extracting #3: cost 0 inf + 421 2.472 * [simplify]: Simplified to (* (* 2 PI) n) 2.472 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2))))) 2.472 * * * * [progress]: [ 6 / 188 ] simplifiying candidate # 2.473 * [simplify]: Simplifying (* (* 2 PI) n) 2.473 * * [simplify]: iters left: 4 (5 enodes) 2.474 * * [simplify]: iters left: 3 (19 enodes) 2.477 * * [simplify]: iters left: 2 (27 enodes) 2.481 * * [simplify]: iters left: 1 (32 enodes) 2.486 * * [simplify]: Extracting #0: cost 1 inf + 0 2.486 * * [simplify]: Extracting #1: cost 8 inf + 0 2.486 * * [simplify]: Extracting #2: cost 7 inf + 45 2.486 * * [simplify]: Extracting #3: cost 0 inf + 421 2.488 * [simplify]: Simplified to (* (* 2 PI) n) 2.488 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2))))) 2.488 * * * * [progress]: [ 7 / 188 ] simplifiying candidate # 2.488 * [simplify]: Simplifying (* (* 2 PI) n) 2.489 * * [simplify]: iters left: 4 (5 enodes) 2.492 * * [simplify]: iters left: 3 (19 enodes) 2.497 * * [simplify]: iters left: 2 (27 enodes) 2.505 * * [simplify]: iters left: 1 (32 enodes) 2.512 * * [simplify]: Extracting #0: cost 1 inf + 0 2.513 * * [simplify]: Extracting #1: cost 8 inf + 0 2.513 * * [simplify]: Extracting #2: cost 7 inf + 45 2.513 * * [simplify]: Extracting #3: cost 0 inf + 421 2.513 * [simplify]: Simplified to (* (* 2 PI) n) 2.513 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2))))) 2.513 * * * * [progress]: [ 8 / 188 ] simplifiying candidate # 2.514 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ k 2)) 2.514 * * [simplify]: iters left: 5 (8 enodes) 2.518 * * [simplify]: iters left: 4 (31 enodes) 2.524 * * [simplify]: iters left: 3 (51 enodes) 2.532 * * [simplify]: iters left: 2 (85 enodes) 2.547 * * [simplify]: iters left: 1 (152 enodes) 2.590 * * [simplify]: Extracting #0: cost 1 inf + 0 2.590 * * [simplify]: Extracting #1: cost 13 inf + 0 2.591 * * [simplify]: Extracting #2: cost 60 inf + 1 2.591 * * [simplify]: Extracting #3: cost 76 inf + 51 2.594 * * [simplify]: Extracting #4: cost 44 inf + 2846 2.595 * * [simplify]: Extracting #5: cost 21 inf + 7590 2.597 * * [simplify]: Extracting #6: cost 1 inf + 20687 2.600 * * [simplify]: Extracting #7: cost 0 inf + 20539 2.603 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 2.603 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (/ (pow (* (* 2 PI) n) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))))) 2.603 * * * * [progress]: [ 9 / 188 ] simplifiying candidate # 2.603 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2)) 2.603 * * [simplify]: iters left: 5 (6 enodes) 2.606 * * [simplify]: iters left: 4 (26 enodes) 2.612 * * [simplify]: iters left: 3 (35 enodes) 2.622 * * [simplify]: Extracting #0: cost 1 inf + 0 2.622 * * [simplify]: Extracting #1: cost 3 inf + 0 2.622 * * [simplify]: Extracting #2: cost 8 inf + 0 2.622 * * [simplify]: Extracting #3: cost 11 inf + 2 2.623 * * [simplify]: Extracting #4: cost 8 inf + 87 2.623 * * [simplify]: Extracting #5: cost 2 inf + 500 2.623 * * [simplify]: Extracting #6: cost 0 inf + 746 2.623 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2)) 2.624 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))))) 2.624 * * * * [progress]: [ 10 / 188 ] simplifiying candidate # 2.624 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2)) 2.624 * * [simplify]: iters left: 5 (6 enodes) 2.628 * * [simplify]: iters left: 4 (26 enodes) 2.637 * * [simplify]: iters left: 3 (35 enodes) 2.647 * * [simplify]: Extracting #0: cost 1 inf + 0 2.647 * * [simplify]: Extracting #1: cost 3 inf + 0 2.647 * * [simplify]: Extracting #2: cost 8 inf + 0 2.647 * * [simplify]: Extracting #3: cost 11 inf + 2 2.647 * * [simplify]: Extracting #4: cost 8 inf + 87 2.647 * * [simplify]: Extracting #5: cost 2 inf + 460 2.648 * * [simplify]: Extracting #6: cost 0 inf + 666 2.648 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2)) 2.648 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))))) 2.648 * * * * [progress]: [ 11 / 188 ] simplifiying candidate # 2.649 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2)) 2.649 * * [simplify]: iters left: 5 (7 enodes) 2.653 * * [simplify]: iters left: 4 (25 enodes) 2.661 * * [simplify]: iters left: 3 (30 enodes) 2.670 * * [simplify]: Extracting #0: cost 1 inf + 0 2.670 * * [simplify]: Extracting #1: cost 4 inf + 0 2.670 * * [simplify]: Extracting #2: cost 8 inf + 0 2.670 * * [simplify]: Extracting #3: cost 10 inf + 82 2.670 * * [simplify]: Extracting #4: cost 7 inf + 206 2.670 * * [simplify]: Extracting #5: cost 2 inf + 575 2.671 * * [simplify]: Extracting #6: cost 1 inf + 818 2.671 * * [simplify]: Extracting #7: cost 0 inf + 1061 2.671 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2)) 2.671 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))))) 2.672 * * * * [progress]: [ 12 / 188 ] simplifiying candidate # 2.672 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2)) 2.672 * * [simplify]: iters left: 5 (7 enodes) 2.676 * * [simplify]: iters left: 4 (25 enodes) 2.684 * * [simplify]: iters left: 3 (30 enodes) 2.693 * * [simplify]: Extracting #0: cost 1 inf + 0 2.693 * * [simplify]: Extracting #1: cost 4 inf + 0 2.693 * * [simplify]: Extracting #2: cost 8 inf + 0 2.693 * * [simplify]: Extracting #3: cost 10 inf + 42 2.693 * * [simplify]: Extracting #4: cost 7 inf + 126 2.693 * * [simplify]: Extracting #5: cost 2 inf + 495 2.693 * * [simplify]: Extracting #6: cost 1 inf + 698 2.694 * * [simplify]: Extracting #7: cost 0 inf + 901 2.694 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2)) 2.694 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2))))) 2.694 * * * * [progress]: [ 13 / 188 ] simplifiying candidate # 2.695 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2) 2.695 * * [simplify]: iters left: 5 (6 enodes) 2.698 * * [simplify]: iters left: 4 (22 enodes) 2.705 * * [simplify]: iters left: 3 (27 enodes) 2.713 * * [simplify]: Extracting #0: cost 1 inf + 0 2.713 * * [simplify]: Extracting #1: cost 4 inf + 0 2.713 * * [simplify]: Extracting #2: cost 5 inf + 1 2.713 * * [simplify]: Extracting #3: cost 9 inf + 1 2.713 * * [simplify]: Extracting #4: cost 8 inf + 3 2.713 * * [simplify]: Extracting #5: cost 4 inf + 169 2.713 * * [simplify]: Extracting #6: cost 1 inf + 576 2.713 * * [simplify]: Extracting #7: cost 0 inf + 739 2.714 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 2.714 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2)))) 2.714 * * * * [progress]: [ 14 / 188 ] simplifiying candidate # 2.714 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2)) 2.714 * * [simplify]: iters left: 5 (7 enodes) 2.718 * * [simplify]: iters left: 4 (25 enodes) 2.723 * * [simplify]: iters left: 3 (30 enodes) 2.730 * * [simplify]: Extracting #0: cost 1 inf + 0 2.730 * * [simplify]: Extracting #1: cost 4 inf + 0 2.730 * * [simplify]: Extracting #2: cost 8 inf + 0 2.730 * * [simplify]: Extracting #3: cost 10 inf + 82 2.730 * * [simplify]: Extracting #4: cost 7 inf + 206 2.730 * * [simplify]: Extracting #5: cost 2 inf + 495 2.730 * * [simplify]: Extracting #6: cost 1 inf + 698 2.730 * * [simplify]: Extracting #7: cost 0 inf + 901 2.731 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2)) 2.731 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2))))) 2.731 * * * * [progress]: [ 15 / 188 ] simplifiying candidate # 2.731 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2)) 2.731 * * [simplify]: iters left: 5 (7 enodes) 2.733 * * [simplify]: iters left: 4 (25 enodes) 2.738 * * [simplify]: iters left: 3 (30 enodes) 2.742 * * [simplify]: Extracting #0: cost 1 inf + 0 2.742 * * [simplify]: Extracting #1: cost 4 inf + 0 2.742 * * [simplify]: Extracting #2: cost 8 inf + 0 2.742 * * [simplify]: Extracting #3: cost 10 inf + 42 2.743 * * [simplify]: Extracting #4: cost 7 inf + 126 2.743 * * [simplify]: Extracting #5: cost 2 inf + 415 2.743 * * [simplify]: Extracting #6: cost 1 inf + 578 2.743 * * [simplify]: Extracting #7: cost 0 inf + 741 2.743 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2)) 2.743 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))))) 2.743 * * * * [progress]: [ 16 / 188 ] simplifiying candidate # 2.743 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2) 2.743 * * [simplify]: iters left: 5 (6 enodes) 2.745 * * [simplify]: iters left: 4 (22 enodes) 2.749 * * [simplify]: iters left: 3 (27 enodes) 2.754 * * [simplify]: Extracting #0: cost 1 inf + 0 2.754 * * [simplify]: Extracting #1: cost 4 inf + 0 2.754 * * [simplify]: Extracting #2: cost 5 inf + 1 2.754 * * [simplify]: Extracting #3: cost 9 inf + 1 2.754 * * [simplify]: Extracting #4: cost 8 inf + 3 2.754 * * [simplify]: Extracting #5: cost 4 inf + 169 2.755 * * [simplify]: Extracting #6: cost 1 inf + 456 2.755 * * [simplify]: Extracting #7: cost 0 inf + 579 2.755 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 2.755 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)))) 2.755 * * * * [progress]: [ 17 / 188 ] simplifiying candidate # 2.756 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 2.756 * * [simplify]: iters left: 4 (6 enodes) 2.759 * * [simplify]: iters left: 3 (25 enodes) 2.768 * * [simplify]: iters left: 2 (36 enodes) 2.778 * * [simplify]: iters left: 1 (40 enodes) 2.790 * * [simplify]: Extracting #0: cost 1 inf + 0 2.791 * * [simplify]: Extracting #1: cost 7 inf + 0 2.791 * * [simplify]: Extracting #2: cost 16 inf + 0 2.791 * * [simplify]: Extracting #3: cost 13 inf + 44 2.791 * * [simplify]: Extracting #4: cost 3 inf + 1103 2.792 * * [simplify]: Extracting #5: cost 0 inf + 1469 2.792 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 2.792 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))))) 2.792 * * * * [progress]: [ 18 / 188 ] simplifiying candidate # 2.793 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 2.793 * * [simplify]: iters left: 4 (6 enodes) 2.796 * * [simplify]: iters left: 3 (25 enodes) 2.805 * * [simplify]: iters left: 2 (36 enodes) 2.815 * * [simplify]: iters left: 1 (40 enodes) 2.826 * * [simplify]: Extracting #0: cost 1 inf + 0 2.826 * * [simplify]: Extracting #1: cost 7 inf + 0 2.826 * * [simplify]: Extracting #2: cost 16 inf + 0 2.826 * * [simplify]: Extracting #3: cost 13 inf + 44 2.827 * * [simplify]: Extracting #4: cost 3 inf + 823 2.827 * * [simplify]: Extracting #5: cost 0 inf + 1069 2.828 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 2.828 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))))) 2.828 * * * * [progress]: [ 19 / 188 ] simplifiying candidate # 2.828 * [simplify]: Simplifying (/ (- 1 k) 2) 2.828 * * [simplify]: iters left: 4 (5 enodes) 2.832 * * [simplify]: iters left: 3 (23 enodes) 2.839 * * [simplify]: iters left: 2 (32 enodes) 2.848 * * [simplify]: Extracting #0: cost 1 inf + 0 2.848 * * [simplify]: Extracting #1: cost 6 inf + 0 2.848 * * [simplify]: Extracting #2: cost 9 inf + 2 2.848 * * [simplify]: Extracting #3: cost 6 inf + 87 2.848 * * [simplify]: Extracting #4: cost 0 inf + 420 2.849 * [simplify]: Simplified to (/ (- 1 k) 2) 2.849 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 1)) (/ (- 1 k) 2)))) 2.849 * * * * [progress]: [ 20 / 188 ] simplifiying candidate # 2.849 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2.849 * * [simplify]: iters left: 5 (8 enodes) 2.854 * * [simplify]: iters left: 4 (31 enodes) 2.868 * * [simplify]: iters left: 3 (45 enodes) 2.880 * * [simplify]: iters left: 2 (51 enodes) 2.893 * * [simplify]: iters left: 1 (52 enodes) 2.907 * * [simplify]: Extracting #0: cost 1 inf + 0 2.908 * * [simplify]: Extracting #1: cost 8 inf + 0 2.908 * * [simplify]: Extracting #2: cost 18 inf + 0 2.908 * * [simplify]: Extracting #3: cost 19 inf + 2 2.908 * * [simplify]: Extracting #4: cost 9 inf + 977 2.909 * * [simplify]: Extracting #5: cost 2 inf + 1790 2.909 * * [simplify]: Extracting #6: cost 0 inf + 2195 2.910 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 2.910 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))))) 2.910 * * * * [progress]: [ 21 / 188 ] simplifiying candidate # 2.911 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2.911 * * [simplify]: iters left: 5 (8 enodes) 2.916 * * [simplify]: iters left: 4 (31 enodes) 2.926 * * [simplify]: iters left: 3 (45 enodes) 2.939 * * [simplify]: iters left: 2 (51 enodes) 2.954 * * [simplify]: iters left: 1 (52 enodes) 2.967 * * [simplify]: Extracting #0: cost 1 inf + 0 2.968 * * [simplify]: Extracting #1: cost 8 inf + 0 2.968 * * [simplify]: Extracting #2: cost 18 inf + 0 2.968 * * [simplify]: Extracting #3: cost 19 inf + 2 2.968 * * [simplify]: Extracting #4: cost 9 inf + 697 2.969 * * [simplify]: Extracting #5: cost 2 inf + 1390 2.969 * * [simplify]: Extracting #6: cost 0 inf + 1715 2.970 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 2.970 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))))) 2.970 * * * * [progress]: [ 22 / 188 ] simplifiying candidate # 2.971 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 2.971 * * [simplify]: iters left: 5 (7 enodes) 2.974 * * [simplify]: iters left: 4 (29 enodes) 2.979 * * [simplify]: iters left: 3 (43 enodes) 2.985 * * [simplify]: iters left: 2 (47 enodes) 2.991 * * [simplify]: Extracting #0: cost 1 inf + 0 2.991 * * [simplify]: Extracting #1: cost 7 inf + 0 2.991 * * [simplify]: Extracting #2: cost 11 inf + 2 2.991 * * [simplify]: Extracting #3: cost 13 inf + 3 2.991 * * [simplify]: Extracting #4: cost 11 inf + 45 2.991 * * [simplify]: Extracting #5: cost 0 inf + 1066 2.991 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 2.991 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 2.991 * * * * [progress]: [ 23 / 188 ] simplifiying candidate # 2.992 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 2.992 * * [simplify]: iters left: 5 (7 enodes) 2.994 * * [simplify]: iters left: 4 (28 enodes) 3.001 * * [simplify]: iters left: 3 (39 enodes) 3.006 * * [simplify]: iters left: 2 (43 enodes) 3.013 * * [simplify]: Extracting #0: cost 1 inf + 0 3.013 * * [simplify]: Extracting #1: cost 7 inf + 0 3.014 * * [simplify]: Extracting #2: cost 16 inf + 0 3.014 * * [simplify]: Extracting #3: cost 15 inf + 164 3.014 * * [simplify]: Extracting #4: cost 13 inf + 287 3.014 * * [simplify]: Extracting #5: cost 5 inf + 1180 3.015 * * [simplify]: Extracting #6: cost 0 inf + 1951 3.015 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 3.015 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))))) 3.016 * * * * [progress]: [ 24 / 188 ] simplifiying candidate # 3.016 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 3.016 * * [simplify]: iters left: 5 (7 enodes) 3.020 * * [simplify]: iters left: 4 (28 enodes) 3.029 * * [simplify]: iters left: 3 (39 enodes) 3.041 * * [simplify]: iters left: 2 (43 enodes) 3.054 * * [simplify]: Extracting #0: cost 1 inf + 0 3.054 * * [simplify]: Extracting #1: cost 7 inf + 0 3.054 * * [simplify]: Extracting #2: cost 16 inf + 0 3.054 * * [simplify]: Extracting #3: cost 15 inf + 84 3.055 * * [simplify]: Extracting #4: cost 13 inf + 167 3.055 * * [simplify]: Extracting #5: cost 5 inf + 900 3.055 * * [simplify]: Extracting #6: cost 0 inf + 1551 3.056 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 3.056 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))))) 3.056 * * * * [progress]: [ 25 / 188 ] simplifiying candidate # 3.057 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 3.057 * * [simplify]: iters left: 5 (6 enodes) 3.061 * * [simplify]: iters left: 4 (26 enodes) 3.069 * * [simplify]: iters left: 3 (35 enodes) 3.079 * * [simplify]: Extracting #0: cost 1 inf + 0 3.079 * * [simplify]: Extracting #1: cost 6 inf + 0 3.079 * * [simplify]: Extracting #2: cost 9 inf + 2 3.079 * * [simplify]: Extracting #3: cost 11 inf + 3 3.079 * * [simplify]: Extracting #4: cost 10 inf + 4 3.079 * * [simplify]: Extracting #5: cost 3 inf + 535 3.080 * * [simplify]: Extracting #6: cost 0 inf + 822 3.080 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 3.080 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 3.080 * * * * [progress]: [ 26 / 188 ] simplifiying candidate # 3.080 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 3.081 * * [simplify]: iters left: 4 (6 enodes) 3.085 * * [simplify]: iters left: 3 (25 enodes) 3.093 * * [simplify]: iters left: 2 (36 enodes) 3.103 * * [simplify]: iters left: 1 (40 enodes) 3.114 * * [simplify]: Extracting #0: cost 1 inf + 0 3.114 * * [simplify]: Extracting #1: cost 7 inf + 0 3.114 * * [simplify]: Extracting #2: cost 16 inf + 0 3.115 * * [simplify]: Extracting #3: cost 13 inf + 44 3.115 * * [simplify]: Extracting #4: cost 3 inf + 1103 3.115 * * [simplify]: Extracting #5: cost 0 inf + 1469 3.116 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 3.116 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))))) 3.116 * * * * [progress]: [ 27 / 188 ] simplifiying candidate # 3.116 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 3.117 * * [simplify]: iters left: 4 (6 enodes) 3.120 * * [simplify]: iters left: 3 (25 enodes) 3.129 * * [simplify]: iters left: 2 (36 enodes) 3.143 * * [simplify]: iters left: 1 (40 enodes) 3.155 * * [simplify]: Extracting #0: cost 1 inf + 0 3.155 * * [simplify]: Extracting #1: cost 7 inf + 0 3.156 * * [simplify]: Extracting #2: cost 16 inf + 0 3.156 * * [simplify]: Extracting #3: cost 13 inf + 44 3.156 * * [simplify]: Extracting #4: cost 3 inf + 823 3.156 * * [simplify]: Extracting #5: cost 0 inf + 1069 3.157 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 3.157 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))))) 3.157 * * * * [progress]: [ 28 / 188 ] simplifiying candidate # 3.158 * [simplify]: Simplifying (/ (- 1 k) 2) 3.158 * * [simplify]: iters left: 4 (5 enodes) 3.161 * * [simplify]: iters left: 3 (23 enodes) 3.169 * * [simplify]: iters left: 2 (32 enodes) 3.179 * * [simplify]: Extracting #0: cost 1 inf + 0 3.179 * * [simplify]: Extracting #1: cost 6 inf + 0 3.179 * * [simplify]: Extracting #2: cost 9 inf + 2 3.179 * * [simplify]: Extracting #3: cost 6 inf + 87 3.179 * * [simplify]: Extracting #4: cost 0 inf + 420 3.179 * [simplify]: Simplified to (/ (- 1 k) 2) 3.180 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 1)) (/ (- 1 k) 2)))) 3.180 * * * * [progress]: [ 29 / 188 ] simplifiying candidate # 3.180 * [simplify]: Simplifying (/ (- 1 k) 2) 3.180 * * [simplify]: iters left: 4 (5 enodes) 3.184 * * [simplify]: iters left: 3 (23 enodes) 3.192 * * [simplify]: iters left: 2 (32 enodes) 3.201 * * [simplify]: Extracting #0: cost 1 inf + 0 3.201 * * [simplify]: Extracting #1: cost 6 inf + 0 3.201 * * [simplify]: Extracting #2: cost 9 inf + 2 3.201 * * [simplify]: Extracting #3: cost 6 inf + 87 3.202 * * [simplify]: Extracting #4: cost 0 inf + 420 3.202 * [simplify]: Simplified to (/ (- 1 k) 2) 3.202 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2)))) 3.202 * * * * [progress]: [ 30 / 188 ] simplifiying candidate # 3.202 * [simplify]: Simplifying (/ 1 2) 3.202 * * [simplify]: iters left: 2 (3 enodes) 3.206 * * [simplify]: iters left: 1 (12 enodes) 3.210 * * [simplify]: Extracting #0: cost 1 inf + 0 3.210 * * [simplify]: Extracting #1: cost 0 inf + 1 3.210 * [simplify]: Simplified to 1/2 3.210 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (- 1 k)) 1/2))) 3.210 * * * * [progress]: [ 31 / 188 ] simplifiying candidate # 3.210 * [simplify]: Simplifying (pow (* 2 PI) (/ (- 1 k) 2)) 3.210 * * [simplify]: iters left: 5 (8 enodes) 3.215 * * [simplify]: iters left: 4 (36 enodes) 3.227 * * [simplify]: iters left: 3 (57 enodes) 3.238 * * [simplify]: iters left: 2 (90 enodes) 3.256 * * [simplify]: iters left: 1 (176 enodes) 3.307 * * [simplify]: Extracting #0: cost 1 inf + 0 3.307 * * [simplify]: Extracting #1: cost 13 inf + 0 3.307 * * [simplify]: Extracting #2: cost 55 inf + 1 3.308 * * [simplify]: Extracting #3: cost 86 inf + 6 3.308 * * [simplify]: Extracting #4: cost 68 inf + 2553 3.310 * * [simplify]: Extracting #5: cost 24 inf + 10048 3.313 * * [simplify]: Extracting #6: cost 3 inf + 21580 3.316 * * [simplify]: Extracting #7: cost 0 inf + 23439 3.320 * [simplify]: Simplified to (pow (* 2 PI) (/ (- 1 k) 2)) 3.320 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))))) 3.320 * * * * [progress]: [ 32 / 188 ] simplifiying candidate # 3.320 * * * * [progress]: [ 33 / 188 ] simplifiying candidate # 3.320 * * * * [progress]: [ 34 / 188 ] simplifiying candidate # 3.320 * * * * [progress]: [ 35 / 188 ] simplifiying candidate # 3.320 * * * * [progress]: [ 36 / 188 ] simplifiying candidate # 3.320 * * * * [progress]: [ 37 / 188 ] simplifiying candidate # 3.320 * * * * [progress]: [ 38 / 188 ] simplifiying candidate # 3.320 * * * * [progress]: [ 39 / 188 ] simplifiying candidate # 3.320 * * * * [progress]: [ 40 / 188 ] simplifiying candidate #real (real->posit16 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))> 3.320 * * * * [progress]: [ 41 / 188 ] simplifiying candidate # 3.321 * [simplify]: Simplifying (* (* 2 PI) n) 3.321 * * [simplify]: iters left: 4 (5 enodes) 3.324 * * [simplify]: iters left: 3 (19 enodes) 3.330 * * [simplify]: iters left: 2 (27 enodes) 3.338 * * [simplify]: iters left: 1 (32 enodes) 3.346 * * [simplify]: Extracting #0: cost 1 inf + 0 3.346 * * [simplify]: Extracting #1: cost 8 inf + 0 3.346 * * [simplify]: Extracting #2: cost 7 inf + 45 3.346 * * [simplify]: Extracting #3: cost 0 inf + 421 3.346 * [simplify]: Simplified to (* (* 2 PI) n) 3.346 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2)))) 3.347 * * * * [progress]: [ 42 / 188 ] simplifiying candidate # 3.347 * [simplify]: Simplifying (* (* 2 PI) n) 3.347 * * [simplify]: iters left: 4 (5 enodes) 3.350 * * [simplify]: iters left: 3 (19 enodes) 3.356 * * [simplify]: iters left: 2 (27 enodes) 3.364 * * [simplify]: iters left: 1 (32 enodes) 3.371 * * [simplify]: Extracting #0: cost 1 inf + 0 3.371 * * [simplify]: Extracting #1: cost 8 inf + 0 3.372 * * [simplify]: Extracting #2: cost 7 inf + 45 3.372 * * [simplify]: Extracting #3: cost 0 inf + 421 3.372 * [simplify]: Simplified to (* (* 2 PI) n) 3.372 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2)))) 3.372 * * * * [progress]: [ 43 / 188 ] simplifiying candidate # 3.372 * * * * [progress]: [ 44 / 188 ] simplifiying candidate # 3.373 * [simplify]: Simplifying (+ (+ (log 2) (log PI)) (log n)) 3.373 * * [simplify]: iters left: 5 (8 enodes) 3.377 * * [simplify]: iters left: 4 (28 enodes) 3.386 * * [simplify]: iters left: 3 (36 enodes) 3.398 * * [simplify]: iters left: 2 (42 enodes) 3.403 * * [simplify]: Extracting #0: cost 1 inf + 0 3.403 * * [simplify]: Extracting #1: cost 8 inf + 0 3.403 * * [simplify]: Extracting #2: cost 17 inf + 0 3.403 * * [simplify]: Extracting #3: cost 13 inf + 74 3.403 * * [simplify]: Extracting #4: cost 6 inf + 1015 3.404 * * [simplify]: Extracting #5: cost 0 inf + 2107 3.404 * [simplify]: Simplified to (+ (log 2) (+ (log PI) (log n))) 3.404 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (exp (+ (log 2) (+ (log PI) (log n)))) (/ (- 1 k) 2)))) 3.404 * * * * [progress]: [ 45 / 188 ] simplifiying candidate # 3.404 * [simplify]: Simplifying (+ (log (* 2 PI)) (log n)) 3.404 * * [simplify]: iters left: 5 (7 enodes) 3.406 * * [simplify]: iters left: 4 (26 enodes) 3.410 * * [simplify]: iters left: 3 (35 enodes) 3.415 * * [simplify]: iters left: 2 (44 enodes) 3.421 * * [simplify]: Extracting #0: cost 1 inf + 0 3.421 * * [simplify]: Extracting #1: cost 8 inf + 0 3.421 * * [simplify]: Extracting #2: cost 18 inf + 0 3.421 * * [simplify]: Extracting #3: cost 15 inf + 74 3.422 * * [simplify]: Extracting #4: cost 6 inf + 918 3.422 * * [simplify]: Extracting #5: cost 0 inf + 1911 3.422 * [simplify]: Simplified to (+ (log (* 2 PI)) (log n)) 3.422 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (exp (+ (log (* 2 PI)) (log n))) (/ (- 1 k) 2)))) 3.422 * * * * [progress]: [ 46 / 188 ] simplifiying candidate # 3.422 * * * * [progress]: [ 47 / 188 ] simplifiying candidate # 3.422 * * * * [progress]: [ 48 / 188 ] simplifiying candidate # 3.422 * [simplify]: Simplifying (* (* (* (* 2 2) 2) (* (* PI PI) PI)) (* (* n n) n)) 3.423 * * [simplify]: iters left: 6 (11 enodes) 3.426 * * [simplify]: iters left: 5 (47 enodes) 3.436 * * [simplify]: iters left: 4 (115 enodes) 3.471 * * [simplify]: iters left: 3 (384 enodes) 4.155 * * [simplify]: Extracting #0: cost 1 inf + 0 4.155 * * [simplify]: Extracting #1: cost 102 inf + 0 4.157 * * [simplify]: Extracting #2: cost 263 inf + 1026 4.168 * * [simplify]: Extracting #3: cost 88 inf + 24284 4.181 * * [simplify]: Extracting #4: cost 2 inf + 40704 4.191 * * [simplify]: Extracting #5: cost 0 inf + 41008 4.201 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n)) 4.201 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (cbrt (* (* (* (* PI n) (* PI n)) 8) (* PI n))) (/ (- 1 k) 2)))) 4.201 * * * * [progress]: [ 49 / 188 ] simplifiying candidate # 4.201 * [simplify]: Simplifying (* (* (* (* 2 PI) (* 2 PI)) (* 2 PI)) (* (* n n) n)) 4.201 * * [simplify]: iters left: 6 (9 enodes) 4.205 * * [simplify]: iters left: 5 (45 enodes) 4.223 * * [simplify]: iters left: 4 (116 enodes) 4.282 * * [simplify]: iters left: 3 (371 enodes) 4.593 * * [simplify]: Extracting #0: cost 1 inf + 0 4.593 * * [simplify]: Extracting #1: cost 82 inf + 0 4.595 * * [simplify]: Extracting #2: cost 200 inf + 498 4.602 * * [simplify]: Extracting #3: cost 121 inf + 10421 4.619 * * [simplify]: Extracting #4: cost 5 inf + 33505 4.638 * * [simplify]: Extracting #5: cost 0 inf + 33849 4.657 * * [simplify]: Extracting #6: cost 0 inf + 33809 4.674 * [simplify]: Simplified to (* (* n PI) (* 8 (* (* n PI) (* n PI)))) 4.674 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (cbrt (* (* n PI) (* 8 (* (* n PI) (* n PI))))) (/ (- 1 k) 2)))) 4.675 * * * * [progress]: [ 50 / 188 ] simplifiying candidate # 4.675 * * * * [progress]: [ 51 / 188 ] simplifiying candidate # 4.675 * * * * [progress]: [ 52 / 188 ] simplifiying candidate # 4.675 * * * * [progress]: [ 53 / 188 ] simplifiying candidate # 4.675 * * * * [progress]: [ 54 / 188 ] simplifiying candidate # 4.675 * [simplify]: Simplifying (cbrt n) 4.675 * * [simplify]: iters left: 1 (2 enodes) 4.675 * * [simplify]: Extracting #0: cost 1 inf + 0 4.675 * * [simplify]: Extracting #1: cost 3 inf + 0 4.675 * * [simplify]: Extracting #2: cost 2 inf + 1 4.676 * * [simplify]: Extracting #3: cost 0 inf + 163 4.676 * [simplify]: Simplified to (cbrt n) 4.676 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* (* 2 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (- 1 k) 2)))) 4.676 * * * * [progress]: [ 55 / 188 ] simplifiying candidate # 4.679 * [simplify]: Simplifying (sqrt n) 4.679 * * [simplify]: iters left: 1 (2 enodes) 4.679 * * [simplify]: Extracting #0: cost 1 inf + 0 4.679 * * [simplify]: Extracting #1: cost 3 inf + 0 4.679 * * [simplify]: Extracting #2: cost 2 inf + 1 4.680 * * [simplify]: Extracting #3: cost 0 inf + 83 4.680 * [simplify]: Simplified to (sqrt n) 4.680 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* (* 2 PI) (sqrt n)) (sqrt n)) (/ (- 1 k) 2)))) 4.680 * * * * [progress]: [ 56 / 188 ] simplifiying candidate # 4.681 * * * * [progress]: [ 57 / 188 ] simplifiying candidate # 4.681 * * * * [progress]: [ 58 / 188 ] simplifiying candidate #real (real->posit16 (* (* 2 PI) n))) (/ (- 1 k) 2))))> 4.681 * * * * [progress]: [ 59 / 188 ] simplifiying candidate # 4.681 * * * * [progress]: [ 60 / 188 ] simplifiying candidate # 4.681 * * * * [progress]: [ 61 / 188 ] simplifiying candidate # 4.681 * [simplify]: Simplifying (- 1/2) 4.681 * * [simplify]: iters left: 2 (2 enodes) 4.683 * * [simplify]: iters left: 1 (7 enodes) 4.685 * * [simplify]: Extracting #0: cost 1 inf + 0 4.685 * * [simplify]: Extracting #1: cost 0 inf + 1 4.685 * [simplify]: Simplified to -1/2 4.685 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 4.685 * * * * [progress]: [ 62 / 188 ] simplifiying candidate # 4.685 * [simplify]: Simplifying (- 1) 4.685 * * [simplify]: iters left: 2 (2 enodes) 4.687 * * [simplify]: iters left: 1 (9 enodes) 4.688 * * [simplify]: Extracting #0: cost 1 inf + 0 4.688 * * [simplify]: Extracting #1: cost 0 inf + 1 4.688 * [simplify]: Simplified to -1 4.688 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (sqrt k) -1) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 4.688 * * * * [progress]: [ 63 / 188 ] simplifiying candidate # 4.689 * [simplify]: Simplifying (- (/ 1 2)) 4.689 * * [simplify]: iters left: 4 (4 enodes) 4.691 * * [simplify]: iters left: 3 (19 enodes) 4.694 * * [simplify]: iters left: 2 (23 enodes) 4.698 * * [simplify]: Extracting #0: cost 1 inf + 0 4.698 * * [simplify]: Extracting #1: cost 0 inf + 1 4.698 * [simplify]: Simplified to -1/2 4.698 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 4.698 * * * * [progress]: [ 64 / 188 ] simplifiying candidate # 4.698 * * * * [progress]: [ 65 / 188 ] simplifiying candidate # 4.698 * * * * [progress]: [ 66 / 188 ] simplifiying candidate # 4.698 * [simplify]: Simplifying (- 0 (log (sqrt k))) 4.698 * * [simplify]: iters left: 4 (5 enodes) 4.700 * * [simplify]: iters left: 3 (17 enodes) 4.703 * * [simplify]: iters left: 2 (21 enodes) 4.708 * * [simplify]: iters left: 1 (23 enodes) 4.714 * * [simplify]: Extracting #0: cost 1 inf + 0 4.714 * * [simplify]: Extracting #1: cost 4 inf + 0 4.714 * * [simplify]: Extracting #2: cost 5 inf + 1 4.714 * * [simplify]: Extracting #3: cost 7 inf + 1 4.715 * * [simplify]: Extracting #4: cost 0 inf + 608 4.715 * [simplify]: Simplified to (- (log (sqrt k))) 4.715 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (log (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 4.715 * * * * [progress]: [ 67 / 188 ] simplifiying candidate # 4.715 * [simplify]: Simplifying (- (log 1) (log (sqrt k))) 4.715 * * [simplify]: iters left: 4 (6 enodes) 4.719 * * [simplify]: iters left: 3 (22 enodes) 4.726 * * [simplify]: Extracting #0: cost 1 inf + 0 4.726 * * [simplify]: Extracting #1: cost 4 inf + 0 4.726 * * [simplify]: Extracting #2: cost 5 inf + 1 4.726 * * [simplify]: Extracting #3: cost 7 inf + 1 4.726 * * [simplify]: Extracting #4: cost 6 inf + 2 4.726 * * [simplify]: Extracting #5: cost 1 inf + 457 4.726 * * [simplify]: Extracting #6: cost 0 inf + 608 4.727 * [simplify]: Simplified to (- (log (sqrt k))) 4.727 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (log (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 4.727 * * * * [progress]: [ 68 / 188 ] simplifiying candidate # 4.727 * * * * [progress]: [ 69 / 188 ] simplifiying candidate # 4.727 * * * * [progress]: [ 70 / 188 ] simplifiying candidate # 4.727 * [simplify]: Simplifying (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))) 4.727 * * [simplify]: iters left: 6 (8 enodes) 4.732 * * [simplify]: iters left: 5 (26 enodes) 4.740 * * [simplify]: iters left: 4 (43 enodes) 4.753 * * [simplify]: iters left: 3 (59 enodes) 4.769 * * [simplify]: iters left: 2 (67 enodes) 4.786 * * [simplify]: iters left: 1 (69 enodes) 4.802 * * [simplify]: Extracting #0: cost 1 inf + 0 4.802 * * [simplify]: Extracting #1: cost 14 inf + 0 4.802 * * [simplify]: Extracting #2: cost 18 inf + 2 4.803 * * [simplify]: Extracting #3: cost 7 inf + 701 4.803 * * [simplify]: Extracting #4: cost 0 inf + 1234 4.804 * [simplify]: Simplified to (/ (/ 1 k) (sqrt k)) 4.804 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (cbrt (/ (/ 1 k) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 4.804 * * * * [progress]: [ 71 / 188 ] simplifiying candidate # 4.804 * * * * [progress]: [ 72 / 188 ] simplifiying candidate # 4.804 * * * * [progress]: [ 73 / 188 ] simplifiying candidate # 4.805 * * * * [progress]: [ 74 / 188 ] simplifiying candidate # 4.805 * * * * [progress]: [ 75 / 188 ] simplifiying candidate # 4.805 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 4.805 * * [simplify]: iters left: 6 (8 enodes) 4.810 * * [simplify]: iters left: 5 (32 enodes) 4.823 * * [simplify]: iters left: 4 (48 enodes) 4.833 * * [simplify]: iters left: 3 (76 enodes) 4.845 * * [simplify]: iters left: 2 (81 enodes) 4.852 * * [simplify]: Extracting #0: cost 1 inf + 0 4.852 * * [simplify]: Extracting #1: cost 6 inf + 0 4.852 * * [simplify]: Extracting #2: cost 9 inf + 1 4.852 * * [simplify]: Extracting #3: cost 11 inf + 1 4.852 * * [simplify]: Extracting #4: cost 2 inf + 1052 4.852 * * [simplify]: Extracting #5: cost 0 inf + 1376 4.853 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 4.853 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1) (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 4.853 * [simplify]: Simplifying (/ (cbrt 1) (cbrt (sqrt k))) 4.853 * * [simplify]: iters left: 4 (6 enodes) 4.855 * * [simplify]: iters left: 3 (20 enodes) 4.858 * * [simplify]: iters left: 2 (22 enodes) 4.862 * * [simplify]: Extracting #0: cost 1 inf + 0 4.862 * * [simplify]: Extracting #1: cost 4 inf + 0 4.863 * * [simplify]: Extracting #2: cost 5 inf + 1 4.863 * * [simplify]: Extracting #3: cost 7 inf + 1 4.863 * * [simplify]: Extracting #4: cost 1 inf + 488 4.863 * * [simplify]: Extracting #5: cost 0 inf + 650 4.863 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 4.863 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 4.863 * * * * [progress]: [ 76 / 188 ] simplifiying candidate # 4.864 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) 4.864 * * [simplify]: iters left: 6 (8 enodes) 4.868 * * [simplify]: iters left: 5 (29 enodes) 4.877 * * [simplify]: iters left: 4 (31 enodes) 4.885 * * [simplify]: Extracting #0: cost 1 inf + 0 4.885 * * [simplify]: Extracting #1: cost 4 inf + 0 4.885 * * [simplify]: Extracting #2: cost 6 inf + 1 4.885 * * [simplify]: Extracting #3: cost 9 inf + 1 4.885 * * [simplify]: Extracting #4: cost 8 inf + 2 4.885 * * [simplify]: Extracting #5: cost 2 inf + 729 4.885 * * [simplify]: Extracting #6: cost 0 inf + 972 4.886 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 4.886 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (/ (cbrt 1) (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 4.886 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (cbrt k))) 4.886 * * [simplify]: iters left: 4 (6 enodes) 4.890 * * [simplify]: iters left: 3 (20 enodes) 4.896 * * [simplify]: iters left: 2 (22 enodes) 4.903 * * [simplify]: Extracting #0: cost 1 inf + 0 4.903 * * [simplify]: Extracting #1: cost 4 inf + 0 4.903 * * [simplify]: Extracting #2: cost 5 inf + 1 4.903 * * [simplify]: Extracting #3: cost 7 inf + 1 4.903 * * [simplify]: Extracting #4: cost 1 inf + 568 4.903 * * [simplify]: Extracting #5: cost 0 inf + 730 4.903 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 4.903 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 4.904 * * * * [progress]: [ 77 / 188 ] simplifiying candidate # 4.904 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 4.904 * * [simplify]: iters left: 5 (7 enodes) 4.909 * * [simplify]: iters left: 4 (25 enodes) 4.917 * * [simplify]: iters left: 3 (27 enodes) 4.923 * * [simplify]: Extracting #0: cost 1 inf + 0 4.924 * * [simplify]: Extracting #1: cost 4 inf + 0 4.924 * * [simplify]: Extracting #2: cost 5 inf + 1 4.924 * * [simplify]: Extracting #3: cost 7 inf + 1 4.924 * * [simplify]: Extracting #4: cost 6 inf + 2 4.924 * * [simplify]: Extracting #5: cost 2 inf + 368 4.924 * * [simplify]: Extracting #6: cost 0 inf + 490 4.924 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 4.924 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 4.924 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt k))) 4.924 * * [simplify]: iters left: 4 (6 enodes) 4.926 * * [simplify]: iters left: 3 (20 enodes) 4.929 * * [simplify]: iters left: 2 (22 enodes) 4.935 * * [simplify]: Extracting #0: cost 1 inf + 0 4.935 * * [simplify]: Extracting #1: cost 4 inf + 0 4.935 * * [simplify]: Extracting #2: cost 5 inf + 1 4.935 * * [simplify]: Extracting #3: cost 7 inf + 1 4.935 * * [simplify]: Extracting #4: cost 1 inf + 368 4.935 * * [simplify]: Extracting #5: cost 0 inf + 490 4.935 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 4.935 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 4.936 * * * * [progress]: [ 78 / 188 ] simplifiying candidate # 4.936 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) 4.936 * * [simplify]: iters left: 5 (5 enodes) 4.941 * * [simplify]: iters left: 4 (19 enodes) 4.944 * * [simplify]: iters left: 3 (21 enodes) 4.946 * * [simplify]: Extracting #0: cost 1 inf + 0 4.946 * * [simplify]: Extracting #1: cost 0 inf + 1 4.946 * [simplify]: Simplified to 1 4.946 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (/ (cbrt 1) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 4.946 * [simplify]: Simplifying (/ (cbrt 1) (sqrt k)) 4.946 * * [simplify]: iters left: 3 (5 enodes) 4.949 * * [simplify]: iters left: 2 (17 enodes) 4.951 * * [simplify]: iters left: 1 (19 enodes) 4.954 * * [simplify]: Extracting #0: cost 1 inf + 0 4.954 * * [simplify]: Extracting #1: cost 4 inf + 0 4.954 * * [simplify]: Extracting #2: cost 5 inf + 1 4.954 * * [simplify]: Extracting #3: cost 0 inf + 248 4.954 * [simplify]: Simplified to (/ 1 (sqrt k)) 4.954 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 4.954 * * * * [progress]: [ 79 / 188 ] simplifiying candidate # 4.955 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 4.955 * * [simplify]: iters left: 5 (7 enodes) 4.957 * * [simplify]: iters left: 4 (25 enodes) 4.961 * * [simplify]: iters left: 3 (27 enodes) 4.965 * * [simplify]: Extracting #0: cost 1 inf + 0 4.965 * * [simplify]: Extracting #1: cost 4 inf + 0 4.965 * * [simplify]: Extracting #2: cost 5 inf + 1 4.965 * * [simplify]: Extracting #3: cost 7 inf + 1 4.965 * * [simplify]: Extracting #4: cost 6 inf + 2 4.965 * * [simplify]: Extracting #5: cost 2 inf + 368 4.965 * * [simplify]: Extracting #6: cost 0 inf + 490 4.965 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 4.965 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 4.966 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt k))) 4.966 * * [simplify]: iters left: 4 (6 enodes) 4.969 * * [simplify]: iters left: 3 (20 enodes) 4.975 * * [simplify]: iters left: 2 (22 enodes) 4.982 * * [simplify]: Extracting #0: cost 1 inf + 0 4.982 * * [simplify]: Extracting #1: cost 4 inf + 0 4.982 * * [simplify]: Extracting #2: cost 5 inf + 1 4.982 * * [simplify]: Extracting #3: cost 7 inf + 1 4.982 * * [simplify]: Extracting #4: cost 1 inf + 368 4.982 * * [simplify]: Extracting #5: cost 0 inf + 490 4.982 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 4.982 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 4.983 * * * * [progress]: [ 80 / 188 ] simplifiying candidate # 4.983 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) 1) 4.983 * * [simplify]: iters left: 5 (4 enodes) 4.988 * * [simplify]: iters left: 4 (14 enodes) 4.989 * * [simplify]: iters left: 3 (16 enodes) 4.991 * * [simplify]: Extracting #0: cost 1 inf + 0 4.991 * * [simplify]: Extracting #1: cost 0 inf + 1 4.991 * [simplify]: Simplified to 1 4.991 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (/ (cbrt 1) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 4.991 * [simplify]: Simplifying (/ (cbrt 1) (sqrt k)) 4.992 * * [simplify]: iters left: 3 (5 enodes) 4.994 * * [simplify]: iters left: 2 (17 enodes) 4.996 * * [simplify]: iters left: 1 (19 enodes) 4.999 * * [simplify]: Extracting #0: cost 1 inf + 0 4.999 * * [simplify]: Extracting #1: cost 4 inf + 0 4.999 * * [simplify]: Extracting #2: cost 5 inf + 1 4.999 * * [simplify]: Extracting #3: cost 0 inf + 248 4.999 * [simplify]: Simplified to (/ 1 (sqrt k)) 4.999 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 5.000 * * * * [progress]: [ 81 / 188 ] simplifiying candidate # 5.000 * [simplify]: Simplifying (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 5.000 * * [simplify]: iters left: 6 (7 enodes) 5.002 * * [simplify]: iters left: 5 (25 enodes) 5.007 * * [simplify]: iters left: 4 (32 enodes) 5.011 * * [simplify]: iters left: 3 (34 enodes) 5.017 * * [simplify]: Extracting #0: cost 1 inf + 0 5.017 * * [simplify]: Extracting #1: cost 7 inf + 0 5.017 * * [simplify]: Extracting #2: cost 11 inf + 1 5.017 * * [simplify]: Extracting #3: cost 13 inf + 1 5.017 * * [simplify]: Extracting #4: cost 10 inf + 84 5.017 * * [simplify]: Extracting #5: cost 4 inf + 1014 5.018 * * [simplify]: Extracting #6: cost 1 inf + 1498 5.018 * * [simplify]: Extracting #7: cost 0 inf + 1700 5.019 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 5.019 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (sqrt 1) (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 5.019 * [simplify]: Simplifying (/ (sqrt 1) (cbrt (sqrt k))) 5.019 * * [simplify]: iters left: 4 (6 enodes) 5.023 * * [simplify]: iters left: 3 (20 enodes) 5.029 * * [simplify]: iters left: 2 (22 enodes) 5.036 * * [simplify]: Extracting #0: cost 1 inf + 0 5.036 * * [simplify]: Extracting #1: cost 4 inf + 0 5.036 * * [simplify]: Extracting #2: cost 5 inf + 1 5.036 * * [simplify]: Extracting #3: cost 7 inf + 1 5.036 * * [simplify]: Extracting #4: cost 1 inf + 488 5.036 * * [simplify]: Extracting #5: cost 0 inf + 650 5.036 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 5.037 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 5.037 * * * * [progress]: [ 82 / 188 ] simplifiying candidate # 5.037 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) 5.037 * * [simplify]: iters left: 6 (7 enodes) 5.044 * * [simplify]: iters left: 5 (24 enodes) 5.051 * * [simplify]: iters left: 4 (26 enodes) 5.059 * * [simplify]: Extracting #0: cost 1 inf + 0 5.059 * * [simplify]: Extracting #1: cost 4 inf + 0 5.059 * * [simplify]: Extracting #2: cost 6 inf + 1 5.059 * * [simplify]: Extracting #3: cost 9 inf + 1 5.059 * * [simplify]: Extracting #4: cost 8 inf + 2 5.060 * * [simplify]: Extracting #5: cost 2 inf + 730 5.060 * * [simplify]: Extracting #6: cost 0 inf + 972 5.060 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 5.060 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (/ (sqrt 1) (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 5.060 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (cbrt k))) 5.061 * * [simplify]: iters left: 4 (6 enodes) 5.064 * * [simplify]: iters left: 3 (20 enodes) 5.069 * * [simplify]: iters left: 2 (22 enodes) 5.072 * * [simplify]: Extracting #0: cost 1 inf + 0 5.072 * * [simplify]: Extracting #1: cost 4 inf + 0 5.072 * * [simplify]: Extracting #2: cost 5 inf + 1 5.072 * * [simplify]: Extracting #3: cost 7 inf + 1 5.073 * * [simplify]: Extracting #4: cost 1 inf + 568 5.073 * * [simplify]: Extracting #5: cost 0 inf + 730 5.073 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 5.073 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 5.073 * * * * [progress]: [ 83 / 188 ] simplifiying candidate # 5.073 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 5.073 * * [simplify]: iters left: 4 (6 enodes) 5.075 * * [simplify]: iters left: 3 (20 enodes) 5.078 * * [simplify]: iters left: 2 (22 enodes) 5.081 * * [simplify]: Extracting #0: cost 1 inf + 0 5.081 * * [simplify]: Extracting #1: cost 4 inf + 0 5.082 * * [simplify]: Extracting #2: cost 5 inf + 1 5.082 * * [simplify]: Extracting #3: cost 7 inf + 1 5.082 * * [simplify]: Extracting #4: cost 1 inf + 368 5.082 * * [simplify]: Extracting #5: cost 0 inf + 490 5.082 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 5.082 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 5.082 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 5.082 * * [simplify]: iters left: 4 (6 enodes) 5.084 * * [simplify]: iters left: 3 (20 enodes) 5.088 * * [simplify]: iters left: 2 (22 enodes) 5.091 * * [simplify]: Extracting #0: cost 1 inf + 0 5.091 * * [simplify]: Extracting #1: cost 4 inf + 0 5.091 * * [simplify]: Extracting #2: cost 5 inf + 1 5.091 * * [simplify]: Extracting #3: cost 7 inf + 1 5.091 * * [simplify]: Extracting #4: cost 1 inf + 368 5.091 * * [simplify]: Extracting #5: cost 0 inf + 490 5.091 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 5.091 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 5.091 * * * * [progress]: [ 84 / 188 ] simplifiying candidate # 5.092 * [simplify]: Simplifying (/ (sqrt 1) (sqrt 1)) 5.092 * * [simplify]: iters left: 3 (3 enodes) 5.094 * * [simplify]: iters left: 2 (9 enodes) 5.095 * * [simplify]: iters left: 1 (11 enodes) 5.097 * * [simplify]: Extracting #0: cost 1 inf + 0 5.097 * * [simplify]: Extracting #1: cost 0 inf + 1 5.097 * [simplify]: Simplified to 1 5.097 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (/ (sqrt 1) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 5.097 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k)) 5.097 * * [simplify]: iters left: 3 (5 enodes) 5.100 * * [simplify]: iters left: 2 (17 enodes) 5.105 * * [simplify]: iters left: 1 (19 enodes) 5.110 * * [simplify]: Extracting #0: cost 1 inf + 0 5.110 * * [simplify]: Extracting #1: cost 4 inf + 0 5.110 * * [simplify]: Extracting #2: cost 5 inf + 1 5.110 * * [simplify]: Extracting #3: cost 0 inf + 248 5.110 * [simplify]: Simplified to (/ 1 (sqrt k)) 5.110 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 5.110 * * * * [progress]: [ 85 / 188 ] simplifiying candidate # 5.111 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 5.111 * * [simplify]: iters left: 4 (6 enodes) 5.114 * * [simplify]: iters left: 3 (20 enodes) 5.120 * * [simplify]: iters left: 2 (22 enodes) 5.126 * * [simplify]: Extracting #0: cost 1 inf + 0 5.126 * * [simplify]: Extracting #1: cost 4 inf + 0 5.127 * * [simplify]: Extracting #2: cost 5 inf + 1 5.127 * * [simplify]: Extracting #3: cost 7 inf + 1 5.127 * * [simplify]: Extracting #4: cost 1 inf + 368 5.127 * * [simplify]: Extracting #5: cost 0 inf + 490 5.127 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 5.127 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 5.128 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 5.128 * * [simplify]: iters left: 4 (6 enodes) 5.132 * * [simplify]: iters left: 3 (20 enodes) 5.137 * * [simplify]: iters left: 2 (22 enodes) 5.144 * * [simplify]: Extracting #0: cost 1 inf + 0 5.144 * * [simplify]: Extracting #1: cost 4 inf + 0 5.144 * * [simplify]: Extracting #2: cost 5 inf + 1 5.144 * * [simplify]: Extracting #3: cost 7 inf + 1 5.144 * * [simplify]: Extracting #4: cost 1 inf + 368 5.144 * * [simplify]: Extracting #5: cost 0 inf + 490 5.145 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 5.145 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 5.145 * * * * [progress]: [ 86 / 188 ] simplifiying candidate # 5.145 * [simplify]: Simplifying (/ (sqrt 1) 1) 5.145 * * [simplify]: iters left: 3 (3 enodes) 5.149 * * [simplify]: iters left: 2 (9 enodes) 5.151 * * [simplify]: iters left: 1 (11 enodes) 5.154 * * [simplify]: Extracting #0: cost 1 inf + 0 5.154 * * [simplify]: Extracting #1: cost 0 inf + 1 5.154 * [simplify]: Simplified to 1 5.154 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (/ (sqrt 1) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 5.154 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k)) 5.155 * * [simplify]: iters left: 3 (5 enodes) 5.159 * * [simplify]: iters left: 2 (17 enodes) 5.164 * * [simplify]: iters left: 1 (19 enodes) 5.166 * * [simplify]: Extracting #0: cost 1 inf + 0 5.167 * * [simplify]: Extracting #1: cost 4 inf + 0 5.167 * * [simplify]: Extracting #2: cost 5 inf + 1 5.167 * * [simplify]: Extracting #3: cost 0 inf + 248 5.167 * [simplify]: Simplified to (/ 1 (sqrt k)) 5.167 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 5.167 * * * * [progress]: [ 87 / 188 ] simplifiying candidate # 5.167 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 5.167 * * [simplify]: iters left: 6 (6 enodes) 5.169 * * [simplify]: iters left: 5 (22 enodes) 5.173 * * [simplify]: iters left: 4 (26 enodes) 5.177 * * [simplify]: Extracting #0: cost 1 inf + 0 5.177 * * [simplify]: Extracting #1: cost 6 inf + 0 5.177 * * [simplify]: Extracting #2: cost 9 inf + 1 5.177 * * [simplify]: Extracting #3: cost 11 inf + 1 5.177 * * [simplify]: Extracting #4: cost 8 inf + 84 5.178 * * [simplify]: Extracting #5: cost 2 inf + 1013 5.178 * * [simplify]: Extracting #6: cost 0 inf + 1376 5.178 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 5.178 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 5.178 * [simplify]: Simplifying (/ 1 (cbrt (sqrt k))) 5.178 * * [simplify]: iters left: 4 (5 enodes) 5.179 * * [simplify]: iters left: 3 (17 enodes) 5.182 * * [simplify]: iters left: 2 (19 enodes) 5.185 * * [simplify]: Extracting #0: cost 1 inf + 0 5.185 * * [simplify]: Extracting #1: cost 4 inf + 0 5.185 * * [simplify]: Extracting #2: cost 5 inf + 1 5.185 * * [simplify]: Extracting #3: cost 7 inf + 1 5.185 * * [simplify]: Extracting #4: cost 0 inf + 650 5.185 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 5.185 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 5.185 * * * * [progress]: [ 88 / 188 ] simplifiying candidate # 5.185 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt k) (cbrt k)))) 5.185 * * [simplify]: iters left: 6 (6 enodes) 5.187 * * [simplify]: iters left: 5 (21 enodes) 5.190 * * [simplify]: iters left: 4 (23 enodes) 5.196 * * [simplify]: Extracting #0: cost 1 inf + 0 5.196 * * [simplify]: Extracting #1: cost 4 inf + 0 5.196 * * [simplify]: Extracting #2: cost 6 inf + 1 5.196 * * [simplify]: Extracting #3: cost 9 inf + 1 5.196 * * [simplify]: Extracting #4: cost 8 inf + 2 5.197 * * [simplify]: Extracting #5: cost 1 inf + 810 5.197 * * [simplify]: Extracting #6: cost 0 inf + 972 5.197 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 5.197 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 5.198 * [simplify]: Simplifying (/ 1 (sqrt (cbrt k))) 5.198 * * [simplify]: iters left: 4 (5 enodes) 5.200 * * [simplify]: iters left: 3 (17 enodes) 5.205 * * [simplify]: iters left: 2 (19 enodes) 5.211 * * [simplify]: Extracting #0: cost 1 inf + 0 5.211 * * [simplify]: Extracting #1: cost 4 inf + 0 5.211 * * [simplify]: Extracting #2: cost 5 inf + 1 5.211 * * [simplify]: Extracting #3: cost 7 inf + 1 5.212 * * [simplify]: Extracting #4: cost 0 inf + 730 5.212 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 5.212 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 5.212 * * * * [progress]: [ 89 / 188 ] simplifiying candidate # 5.212 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 5.212 * * [simplify]: iters left: 4 (5 enodes) 5.215 * * [simplify]: iters left: 3 (17 enodes) 5.221 * * [simplify]: iters left: 2 (19 enodes) 5.226 * * [simplify]: Extracting #0: cost 1 inf + 0 5.226 * * [simplify]: Extracting #1: cost 4 inf + 0 5.226 * * [simplify]: Extracting #2: cost 5 inf + 1 5.226 * * [simplify]: Extracting #3: cost 7 inf + 1 5.227 * * [simplify]: Extracting #4: cost 0 inf + 490 5.227 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 5.227 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 5.227 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 5.227 * * [simplify]: iters left: 4 (5 enodes) 5.230 * * [simplify]: iters left: 3 (17 enodes) 5.233 * * [simplify]: iters left: 2 (19 enodes) 5.236 * * [simplify]: Extracting #0: cost 1 inf + 0 5.236 * * [simplify]: Extracting #1: cost 4 inf + 0 5.236 * * [simplify]: Extracting #2: cost 5 inf + 1 5.236 * * [simplify]: Extracting #3: cost 7 inf + 1 5.236 * * [simplify]: Extracting #4: cost 0 inf + 490 5.236 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 5.236 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 5.236 * * * * [progress]: [ 90 / 188 ] simplifiying candidate # 5.236 * [simplify]: Simplifying (/ 1 (sqrt 1)) 5.236 * * [simplify]: iters left: 3 (3 enodes) 5.240 * * [simplify]: iters left: 2 (11 enodes) 5.241 * * [simplify]: iters left: 1 (13 enodes) 5.243 * * [simplify]: Extracting #0: cost 1 inf + 0 5.243 * * [simplify]: Extracting #1: cost 0 inf + 1 5.243 * [simplify]: Simplified to 1 5.243 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 5.243 * [simplify]: Simplifying (/ 1 (sqrt k)) 5.243 * * [simplify]: iters left: 3 (4 enodes) 5.244 * * [simplify]: iters left: 2 (14 enodes) 5.247 * * [simplify]: iters left: 1 (16 enodes) 5.249 * * [simplify]: Extracting #0: cost 1 inf + 0 5.249 * * [simplify]: Extracting #1: cost 4 inf + 0 5.249 * * [simplify]: Extracting #2: cost 5 inf + 1 5.249 * * [simplify]: Extracting #3: cost 3 inf + 43 5.249 * * [simplify]: Extracting #4: cost 1 inf + 166 5.249 * * [simplify]: Extracting #5: cost 0 inf + 248 5.249 * [simplify]: Simplified to (/ 1 (sqrt k)) 5.249 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 5.249 * * * * [progress]: [ 91 / 188 ] simplifiying candidate # 5.250 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 5.250 * * [simplify]: iters left: 4 (5 enodes) 5.251 * * [simplify]: iters left: 3 (17 enodes) 5.253 * * [simplify]: iters left: 2 (19 enodes) 5.256 * * [simplify]: Extracting #0: cost 1 inf + 0 5.256 * * [simplify]: Extracting #1: cost 4 inf + 0 5.256 * * [simplify]: Extracting #2: cost 5 inf + 1 5.256 * * [simplify]: Extracting #3: cost 7 inf + 1 5.256 * * [simplify]: Extracting #4: cost 0 inf + 490 5.256 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 5.256 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 5.257 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 5.257 * * [simplify]: iters left: 4 (5 enodes) 5.258 * * [simplify]: iters left: 3 (17 enodes) 5.261 * * [simplify]: iters left: 2 (19 enodes) 5.267 * * [simplify]: Extracting #0: cost 1 inf + 0 5.267 * * [simplify]: Extracting #1: cost 4 inf + 0 5.267 * * [simplify]: Extracting #2: cost 5 inf + 1 5.267 * * [simplify]: Extracting #3: cost 7 inf + 1 5.268 * * [simplify]: Extracting #4: cost 0 inf + 490 5.268 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 5.268 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 5.268 * * * * [progress]: [ 92 / 188 ] simplifiying candidate # 5.268 * [simplify]: Simplifying (/ 1 1) 5.269 * * [simplify]: iters left: 2 (2 enodes) 5.270 * * [simplify]: iters left: 1 (6 enodes) 5.272 * * [simplify]: Extracting #0: cost 1 inf + 0 5.272 * * [simplify]: Extracting #1: cost 0 inf + 1 5.272 * [simplify]: Simplified to 1 5.272 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 5.272 * [simplify]: Simplifying (/ 1 (sqrt k)) 5.272 * * [simplify]: iters left: 3 (4 enodes) 5.274 * * [simplify]: iters left: 2 (14 enodes) 5.277 * * [simplify]: iters left: 1 (16 enodes) 5.279 * * [simplify]: Extracting #0: cost 1 inf + 0 5.279 * * [simplify]: Extracting #1: cost 4 inf + 0 5.279 * * [simplify]: Extracting #2: cost 5 inf + 1 5.279 * * [simplify]: Extracting #3: cost 3 inf + 43 5.279 * * [simplify]: Extracting #4: cost 1 inf + 166 5.279 * * [simplify]: Extracting #5: cost 0 inf + 248 5.279 * [simplify]: Simplified to (/ 1 (sqrt k)) 5.279 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 5.280 * * * * [progress]: [ 93 / 188 ] simplifiying candidate # 5.280 * * * * [progress]: [ 94 / 188 ] simplifiying candidate # 5.280 * * * * [progress]: [ 95 / 188 ] simplifiying candidate # 5.280 * * * * [progress]: [ 96 / 188 ] simplifiying candidate # 5.280 * [simplify]: Simplifying (cbrt (sqrt k)) 5.280 * * [simplify]: iters left: 2 (3 enodes) 5.280 * * [simplify]: iters left: 1 (9 enodes) 5.281 * * [simplify]: Extracting #0: cost 1 inf + 0 5.281 * * [simplify]: Extracting #1: cost 3 inf + 0 5.282 * * [simplify]: Extracting #2: cost 5 inf + 0 5.282 * * [simplify]: Extracting #3: cost 4 inf + 1 5.282 * * [simplify]: Extracting #4: cost 0 inf + 325 5.282 * [simplify]: Simplified to (cbrt (sqrt k)) 5.282 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 5.282 * * * * [progress]: [ 97 / 188 ] simplifiying candidate # 5.282 * [simplify]: Simplifying (sqrt (cbrt k)) 5.282 * * [simplify]: iters left: 2 (3 enodes) 5.284 * * [simplify]: iters left: 1 (9 enodes) 5.285 * * [simplify]: Extracting #0: cost 1 inf + 0 5.285 * * [simplify]: Extracting #1: cost 3 inf + 0 5.285 * * [simplify]: Extracting #2: cost 5 inf + 0 5.285 * * [simplify]: Extracting #3: cost 4 inf + 1 5.285 * * [simplify]: Extracting #4: cost 0 inf + 405 5.285 * [simplify]: Simplified to (sqrt (cbrt k)) 5.285 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 5.285 * * * * [progress]: [ 98 / 188 ] simplifiying candidate # 5.285 * [simplify]: Simplifying (sqrt (sqrt k)) 5.286 * * [simplify]: iters left: 2 (3 enodes) 5.286 * * [simplify]: iters left: 1 (9 enodes) 5.287 * * [simplify]: Extracting #0: cost 1 inf + 0 5.287 * * [simplify]: Extracting #1: cost 3 inf + 0 5.287 * * [simplify]: Extracting #2: cost 5 inf + 0 5.287 * * [simplify]: Extracting #3: cost 4 inf + 1 5.287 * * [simplify]: Extracting #4: cost 0 inf + 245 5.287 * [simplify]: Simplified to (sqrt (sqrt k)) 5.287 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 5.287 * * * * [progress]: [ 99 / 188 ] simplifiying candidate # 5.288 * [simplify]: Simplifying (sqrt k) 5.288 * * [simplify]: iters left: 1 (2 enodes) 5.288 * * [simplify]: Extracting #0: cost 1 inf + 0 5.288 * * [simplify]: Extracting #1: cost 3 inf + 0 5.288 * * [simplify]: Extracting #2: cost 2 inf + 1 5.288 * * [simplify]: Extracting #3: cost 0 inf + 83 5.288 * [simplify]: Simplified to (sqrt k) 5.288 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (/ 1 (sqrt 1)) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 5.288 * * * * [progress]: [ 100 / 188 ] simplifiying candidate # 5.288 * [simplify]: Simplifying (sqrt (sqrt k)) 5.288 * * [simplify]: iters left: 2 (3 enodes) 5.289 * * [simplify]: iters left: 1 (9 enodes) 5.290 * * [simplify]: Extracting #0: cost 1 inf + 0 5.290 * * [simplify]: Extracting #1: cost 3 inf + 0 5.290 * * [simplify]: Extracting #2: cost 5 inf + 0 5.290 * * [simplify]: Extracting #3: cost 4 inf + 1 5.290 * * [simplify]: Extracting #4: cost 0 inf + 245 5.290 * [simplify]: Simplified to (sqrt (sqrt k)) 5.290 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 5.290 * * * * [progress]: [ 101 / 188 ] simplifiying candidate # 5.290 * [simplify]: Simplifying (sqrt k) 5.290 * * [simplify]: iters left: 1 (2 enodes) 5.291 * * [simplify]: Extracting #0: cost 1 inf + 0 5.291 * * [simplify]: Extracting #1: cost 3 inf + 0 5.291 * * [simplify]: Extracting #2: cost 2 inf + 1 5.291 * * [simplify]: Extracting #3: cost 0 inf + 83 5.291 * [simplify]: Simplified to (sqrt k) 5.291 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (/ 1 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 5.291 * * * * [progress]: [ 102 / 188 ] simplifiying candidate # 5.291 * [simplify]: Simplifying (* (cbrt 1) (cbrt 1)) 5.291 * * [simplify]: iters left: 3 (3 enodes) 5.295 * * [simplify]: iters left: 2 (11 enodes) 5.296 * * [simplify]: iters left: 1 (13 enodes) 5.298 * * [simplify]: Extracting #0: cost 1 inf + 0 5.298 * * [simplify]: Extracting #1: cost 0 inf + 1 5.298 * [simplify]: Simplified to 1 5.298 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (/ 1 (/ (sqrt k) (cbrt 1))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 5.298 * * * * [progress]: [ 103 / 188 ] simplifiying candidate # 5.298 * [simplify]: Simplifying (sqrt 1) 5.298 * * [simplify]: iters left: 1 (2 enodes) 5.300 * * [simplify]: Extracting #0: cost 1 inf + 0 5.300 * * [simplify]: Extracting #1: cost 0 inf + 1 5.300 * [simplify]: Simplified to 1 5.300 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (/ 1 (/ (sqrt k) (sqrt 1))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 5.300 * * * * [progress]: [ 104 / 188 ] simplifiying candidate # 5.300 * * * * [progress]: [ 105 / 188 ] simplifiying candidate #real (real->posit16 (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))> 5.300 * * * * [progress]: [ 106 / 188 ] simplifiying candidate # 5.300 * * * * [progress]: [ 107 / 188 ] simplifiying candidate # 5.300 * [simplify]: Simplifying (+ (- (log (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2))) 5.300 * * [simplify]: iters left: 6 (17 enodes) 5.306 * * [simplify]: iters left: 5 (67 enodes) 5.327 * * [simplify]: iters left: 4 (111 enodes) 5.354 * * [simplify]: iters left: 3 (297 enodes) 5.463 * * [simplify]: Extracting #0: cost 1 inf + 0 5.463 * * [simplify]: Extracting #1: cost 33 inf + 0 5.464 * * [simplify]: Extracting #2: cost 87 inf + 0 5.465 * * [simplify]: Extracting #3: cost 150 inf + 73 5.466 * * [simplify]: Extracting #4: cost 166 inf + 857 5.471 * * [simplify]: Extracting #5: cost 94 inf + 17702 5.489 * * [simplify]: Extracting #6: cost 6 inf + 46007 5.498 * * [simplify]: Extracting #7: cost 0 inf + 48738 5.507 * [simplify]: Simplified to (- (/ (- (+ (log n) (+ (log 2) (log PI))) (* (+ (log n) (+ (log 2) (log PI))) k)) 2) (log (sqrt k))) 5.507 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (+ (log 2) (log PI))) (* (+ (log n) (+ (log 2) (log PI))) k)) 2) (log (sqrt k))))) 5.507 * * * * [progress]: [ 108 / 188 ] simplifiying candidate # 5.507 * [simplify]: Simplifying (+ (- (log (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))) 5.508 * * [simplify]: iters left: 6 (16 enodes) 5.512 * * [simplify]: iters left: 5 (65 enodes) 5.525 * * [simplify]: iters left: 4 (104 enodes) 5.557 * * [simplify]: iters left: 3 (239 enodes) 5.624 * * [simplify]: Extracting #0: cost 1 inf + 0 5.624 * * [simplify]: Extracting #1: cost 27 inf + 0 5.625 * * [simplify]: Extracting #2: cost 74 inf + 0 5.625 * * [simplify]: Extracting #3: cost 128 inf + 2 5.626 * * [simplify]: Extracting #4: cost 142 inf + 759 5.631 * * [simplify]: Extracting #5: cost 73 inf + 12705 5.642 * * [simplify]: Extracting #6: cost 11 inf + 32489 5.656 * * [simplify]: Extracting #7: cost 1 inf + 36150 5.671 * * [simplify]: Extracting #8: cost 0 inf + 36684 5.689 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* k (+ (log n) (log (* 2 PI))))) 2) (log (sqrt k))) 5.689 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* k (+ (log n) (log (* 2 PI))))) 2) (log (sqrt k))))) 5.689 * * * * [progress]: [ 109 / 188 ] simplifiying candidate # 5.689 * [simplify]: Simplifying (+ (- (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 5.690 * * [simplify]: iters left: 6 (15 enodes) 5.698 * * [simplify]: iters left: 5 (64 enodes) 5.719 * * [simplify]: iters left: 4 (111 enodes) 5.756 * * [simplify]: iters left: 3 (223 enodes) 5.829 * * [simplify]: Extracting #0: cost 1 inf + 0 5.830 * * [simplify]: Extracting #1: cost 19 inf + 0 5.830 * * [simplify]: Extracting #2: cost 65 inf + 0 5.831 * * [simplify]: Extracting #3: cost 121 inf + 2 5.832 * * [simplify]: Extracting #4: cost 142 inf + 741 5.835 * * [simplify]: Extracting #5: cost 72 inf + 12707 5.841 * * [simplify]: Extracting #6: cost 6 inf + 29228 5.847 * * [simplify]: Extracting #7: cost 1 inf + 30319 5.853 * * [simplify]: Extracting #8: cost 0 inf + 30744 5.860 * [simplify]: Simplified to (- (/ (- (log (* n (* 2 PI))) (* (log (* n (* 2 PI))) k)) 2) (log (sqrt k))) 5.860 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* n (* 2 PI))) (* (log (* n (* 2 PI))) k)) 2) (log (sqrt k))))) 5.860 * * * * [progress]: [ 110 / 188 ] simplifiying candidate # 5.860 * [simplify]: Simplifying (+ (- (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 5.860 * * [simplify]: iters left: 6 (15 enodes) 5.865 * * [simplify]: iters left: 5 (64 enodes) 5.883 * * [simplify]: iters left: 4 (111 enodes) 5.919 * * [simplify]: iters left: 3 (223 enodes) 5.967 * * [simplify]: Extracting #0: cost 1 inf + 0 5.968 * * [simplify]: Extracting #1: cost 19 inf + 0 5.968 * * [simplify]: Extracting #2: cost 65 inf + 0 5.968 * * [simplify]: Extracting #3: cost 121 inf + 2 5.969 * * [simplify]: Extracting #4: cost 142 inf + 741 5.971 * * [simplify]: Extracting #5: cost 72 inf + 12707 5.979 * * [simplify]: Extracting #6: cost 6 inf + 29228 5.985 * * [simplify]: Extracting #7: cost 1 inf + 30319 5.991 * * [simplify]: Extracting #8: cost 0 inf + 30744 5.998 * [simplify]: Simplified to (- (/ (- (log (* n (* 2 PI))) (* (log (* n (* 2 PI))) k)) 2) (log (sqrt k))) 5.998 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* n (* 2 PI))) (* (log (* n (* 2 PI))) k)) 2) (log (sqrt k))))) 5.998 * * * * [progress]: [ 111 / 188 ] simplifiying candidate # 5.998 * [simplify]: Simplifying (+ (- (log (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 5.998 * * [simplify]: iters left: 6 (15 enodes) 6.003 * * [simplify]: iters left: 5 (63 enodes) 6.014 * * [simplify]: iters left: 4 (107 enodes) 6.033 * * [simplify]: iters left: 3 (215 enodes) 6.080 * * [simplify]: Extracting #0: cost 1 inf + 0 6.080 * * [simplify]: Extracting #1: cost 20 inf + 0 6.081 * * [simplify]: Extracting #2: cost 95 inf + 0 6.081 * * [simplify]: Extracting #3: cost 169 inf + 2 6.082 * * [simplify]: Extracting #4: cost 176 inf + 579 6.083 * * [simplify]: Extracting #5: cost 115 inf + 10248 6.088 * * [simplify]: Extracting #6: cost 21 inf + 33876 6.099 * * [simplify]: Extracting #7: cost 0 inf + 40717 6.113 * * [simplify]: Extracting #8: cost 0 inf + 40597 6.127 * [simplify]: Simplified to (- (/ (- 1 k) (/ 2 (log (* n (* 2 PI))))) (log (sqrt k))) 6.127 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- 1 k) (/ 2 (log (* n (* 2 PI))))) (log (sqrt k))))) 6.127 * * * * [progress]: [ 112 / 188 ] simplifiying candidate # 6.128 * [simplify]: Simplifying (+ (- 0 (log (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2))) 6.128 * * [simplify]: iters left: 6 (18 enodes) 6.138 * * [simplify]: iters left: 5 (73 enodes) 6.158 * * [simplify]: iters left: 4 (128 enodes) 6.190 * * [simplify]: iters left: 3 (376 enodes) 6.355 * * [simplify]: Extracting #0: cost 1 inf + 0 6.356 * * [simplify]: Extracting #1: cost 46 inf + 0 6.357 * * [simplify]: Extracting #2: cost 174 inf + 1 6.358 * * [simplify]: Extracting #3: cost 249 inf + 74 6.362 * * [simplify]: Extracting #4: cost 230 inf + 8323 6.380 * * [simplify]: Extracting #5: cost 63 inf + 59342 6.395 * * [simplify]: Extracting #6: cost 1 inf + 81574 6.411 * * [simplify]: Extracting #7: cost 0 inf + 82024 6.434 * * [simplify]: Extracting #8: cost 0 inf + 82023 6.450 * [simplify]: Simplified to (- (/ (- (+ (log n) (+ (log PI) (log 2))) (* k (+ (log n) (+ (log PI) (log 2))))) 2) (log (sqrt k))) 6.450 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (+ (log PI) (log 2))) (* k (+ (log n) (+ (log PI) (log 2))))) 2) (log (sqrt k))))) 6.450 * * * * [progress]: [ 113 / 188 ] simplifiying candidate # 6.450 * [simplify]: Simplifying (+ (- 0 (log (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))) 6.451 * * [simplify]: iters left: 6 (17 enodes) 6.456 * * [simplify]: iters left: 5 (71 enodes) 6.468 * * [simplify]: iters left: 4 (121 enodes) 6.494 * * [simplify]: iters left: 3 (302 enodes) 6.635 * * [simplify]: Extracting #0: cost 1 inf + 0 6.635 * * [simplify]: Extracting #1: cost 37 inf + 0 6.636 * * [simplify]: Extracting #2: cost 145 inf + 1 6.637 * * [simplify]: Extracting #3: cost 215 inf + 3 6.640 * * [simplify]: Extracting #4: cost 201 inf + 6020 6.656 * * [simplify]: Extracting #5: cost 35 inf + 50552 6.681 * * [simplify]: Extracting #6: cost 0 inf + 62673 6.706 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))) 6.706 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))))) 6.706 * * * * [progress]: [ 114 / 188 ] simplifiying candidate # 6.707 * [simplify]: Simplifying (+ (- 0 (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 6.707 * * [simplify]: iters left: 6 (16 enodes) 6.716 * * [simplify]: iters left: 5 (70 enodes) 6.738 * * [simplify]: iters left: 4 (128 enodes) 6.762 * * [simplify]: iters left: 3 (276 enodes) 6.889 * * [simplify]: Extracting #0: cost 1 inf + 0 6.889 * * [simplify]: Extracting #1: cost 27 inf + 0 6.890 * * [simplify]: Extracting #2: cost 116 inf + 1 6.890 * * [simplify]: Extracting #3: cost 190 inf + 3 6.891 * * [simplify]: Extracting #4: cost 184 inf + 4125 6.896 * * [simplify]: Extracting #5: cost 63 inf + 31414 6.906 * * [simplify]: Extracting #6: cost 4 inf + 47655 6.921 * * [simplify]: Extracting #7: cost 0 inf + 48696 6.942 * * [simplify]: Extracting #8: cost 0 inf + 48688 6.952 * * [simplify]: Extracting #9: cost 0 inf + 48686 6.962 * [simplify]: Simplified to (- (/ (- (log (* (* 2 PI) n)) (* (log (* (* 2 PI) n)) k)) 2) (log (sqrt k))) 6.962 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* 2 PI) n)) (* (log (* (* 2 PI) n)) k)) 2) (log (sqrt k))))) 6.962 * * * * [progress]: [ 115 / 188 ] simplifiying candidate # 6.962 * [simplify]: Simplifying (+ (- 0 (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 6.962 * * [simplify]: iters left: 6 (16 enodes) 6.967 * * [simplify]: iters left: 5 (70 enodes) 6.986 * * [simplify]: iters left: 4 (128 enodes) 7.032 * * [simplify]: iters left: 3 (276 enodes) 7.122 * * [simplify]: Extracting #0: cost 1 inf + 0 7.122 * * [simplify]: Extracting #1: cost 27 inf + 0 7.123 * * [simplify]: Extracting #2: cost 116 inf + 1 7.124 * * [simplify]: Extracting #3: cost 190 inf + 3 7.126 * * [simplify]: Extracting #4: cost 184 inf + 4125 7.136 * * [simplify]: Extracting #5: cost 63 inf + 31414 7.146 * * [simplify]: Extracting #6: cost 4 inf + 47655 7.156 * * [simplify]: Extracting #7: cost 0 inf + 48696 7.169 * * [simplify]: Extracting #8: cost 0 inf + 48688 7.184 * * [simplify]: Extracting #9: cost 0 inf + 48686 7.194 * [simplify]: Simplified to (- (/ (- (log (* (* 2 PI) n)) (* (log (* (* 2 PI) n)) k)) 2) (log (sqrt k))) 7.194 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* 2 PI) n)) (* (log (* (* 2 PI) n)) k)) 2) (log (sqrt k))))) 7.194 * * * * [progress]: [ 116 / 188 ] simplifiying candidate # 7.194 * [simplify]: Simplifying (+ (- 0 (log (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 7.194 * * [simplify]: iters left: 6 (16 enodes) 7.199 * * [simplify]: iters left: 5 (69 enodes) 7.216 * * [simplify]: iters left: 4 (124 enodes) 7.243 * * [simplify]: iters left: 3 (259 enodes) 7.349 * * [simplify]: Extracting #0: cost 1 inf + 0 7.349 * * [simplify]: Extracting #1: cost 27 inf + 0 7.349 * * [simplify]: Extracting #2: cost 145 inf + 1 7.350 * * [simplify]: Extracting #3: cost 234 inf + 3 7.351 * * [simplify]: Extracting #4: cost 227 inf + 2046 7.356 * * [simplify]: Extracting #5: cost 143 inf + 17826 7.369 * * [simplify]: Extracting #6: cost 50 inf + 43416 7.388 * * [simplify]: Extracting #7: cost 0 inf + 57654 7.409 * * [simplify]: Extracting #8: cost 0 inf + 57614 7.435 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (log (* (* n 2) PI))) (log (sqrt k))) 7.435 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log (* (* n 2) PI))) (log (sqrt k))))) 7.435 * * * * [progress]: [ 117 / 188 ] simplifiying candidate # 7.435 * [simplify]: Simplifying (+ (- (log 1) (log (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2))) 7.435 * * [simplify]: iters left: 6 (18 enodes) 7.445 * * [simplify]: iters left: 5 (74 enodes) 7.466 * * [simplify]: iters left: 4 (123 enodes) 7.493 * * [simplify]: iters left: 3 (352 enodes) 7.621 * * [simplify]: Extracting #0: cost 1 inf + 0 7.622 * * [simplify]: Extracting #1: cost 44 inf + 0 7.622 * * [simplify]: Extracting #2: cost 169 inf + 1 7.624 * * [simplify]: Extracting #3: cost 243 inf + 74 7.626 * * [simplify]: Extracting #4: cost 252 inf + 1557 7.632 * * [simplify]: Extracting #5: cost 186 inf + 15412 7.645 * * [simplify]: Extracting #6: cost 49 inf + 60900 7.660 * * [simplify]: Extracting #7: cost 4 inf + 78429 7.679 * * [simplify]: Extracting #8: cost 0 inf + 80185 7.713 * [simplify]: Simplified to (- (/ (- (+ (log n) (+ (log PI) (log 2))) (* k (+ (log n) (+ (log PI) (log 2))))) 2) (log (sqrt k))) 7.713 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (+ (log PI) (log 2))) (* k (+ (log n) (+ (log PI) (log 2))))) 2) (log (sqrt k))))) 7.714 * * * * [progress]: [ 118 / 188 ] simplifiying candidate # 7.714 * [simplify]: Simplifying (+ (- (log 1) (log (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))) 7.714 * * [simplify]: iters left: 6 (17 enodes) 7.724 * * [simplify]: iters left: 5 (72 enodes) 7.746 * * [simplify]: iters left: 4 (116 enodes) 7.792 * * [simplify]: iters left: 3 (286 enodes) 7.949 * * [simplify]: Extracting #0: cost 1 inf + 0 7.949 * * [simplify]: Extracting #1: cost 36 inf + 0 7.950 * * [simplify]: Extracting #2: cost 139 inf + 1 7.951 * * [simplify]: Extracting #3: cost 209 inf + 3 7.954 * * [simplify]: Extracting #4: cost 196 inf + 6399 7.965 * * [simplify]: Extracting #5: cost 54 inf + 42664 7.978 * * [simplify]: Extracting #6: cost 1 inf + 60164 8.001 * * [simplify]: Extracting #7: cost 0 inf + 60309 8.025 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* PI 2))) (* k (+ (log n) (log (* PI 2))))) 2) (log (sqrt k))) 8.025 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* PI 2))) (* k (+ (log n) (log (* PI 2))))) 2) (log (sqrt k))))) 8.025 * * * * [progress]: [ 119 / 188 ] simplifiying candidate # 8.025 * [simplify]: Simplifying (+ (- (log 1) (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 8.026 * * [simplify]: iters left: 6 (16 enodes) 8.035 * * [simplify]: iters left: 5 (71 enodes) 8.046 * * [simplify]: iters left: 4 (123 enodes) 8.071 * * [simplify]: iters left: 3 (269 enodes) 8.182 * * [simplify]: Extracting #0: cost 1 inf + 0 8.182 * * [simplify]: Extracting #1: cost 27 inf + 0 8.182 * * [simplify]: Extracting #2: cost 116 inf + 1 8.183 * * [simplify]: Extracting #3: cost 190 inf + 3 8.184 * * [simplify]: Extracting #4: cost 179 inf + 5800 8.190 * * [simplify]: Extracting #5: cost 40 inf + 37465 8.200 * * [simplify]: Extracting #6: cost 0 inf + 48625 8.210 * [simplify]: Simplified to (- (/ (- (log (* n (* PI 2))) (* (log (* n (* PI 2))) k)) 2) (log (sqrt k))) 8.210 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* n (* PI 2))) (* (log (* n (* PI 2))) k)) 2) (log (sqrt k))))) 8.210 * * * * [progress]: [ 120 / 188 ] simplifiying candidate # 8.210 * [simplify]: Simplifying (+ (- (log 1) (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 8.211 * * [simplify]: iters left: 6 (16 enodes) 8.215 * * [simplify]: iters left: 5 (71 enodes) 8.227 * * [simplify]: iters left: 4 (123 enodes) 8.248 * * [simplify]: iters left: 3 (269 enodes) 8.365 * * [simplify]: Extracting #0: cost 1 inf + 0 8.365 * * [simplify]: Extracting #1: cost 27 inf + 0 8.366 * * [simplify]: Extracting #2: cost 116 inf + 1 8.367 * * [simplify]: Extracting #3: cost 190 inf + 3 8.369 * * [simplify]: Extracting #4: cost 179 inf + 5800 8.382 * * [simplify]: Extracting #5: cost 40 inf + 37465 8.392 * * [simplify]: Extracting #6: cost 0 inf + 48625 8.402 * [simplify]: Simplified to (- (/ (- (log (* n (* PI 2))) (* (log (* n (* PI 2))) k)) 2) (log (sqrt k))) 8.402 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* n (* PI 2))) (* (log (* n (* PI 2))) k)) 2) (log (sqrt k))))) 8.402 * * * * [progress]: [ 121 / 188 ] simplifiying candidate # 8.402 * [simplify]: Simplifying (+ (- (log 1) (log (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 8.403 * * [simplify]: iters left: 6 (16 enodes) 8.407 * * [simplify]: iters left: 5 (70 enodes) 8.421 * * [simplify]: iters left: 4 (119 enodes) 8.464 * * [simplify]: iters left: 3 (255 enodes) 8.554 * * [simplify]: Extracting #0: cost 1 inf + 0 8.554 * * [simplify]: Extracting #1: cost 28 inf + 0 8.555 * * [simplify]: Extracting #2: cost 145 inf + 1 8.556 * * [simplify]: Extracting #3: cost 234 inf + 3 8.558 * * [simplify]: Extracting #4: cost 225 inf + 2146 8.564 * * [simplify]: Extracting #5: cost 134 inf + 19971 8.583 * * [simplify]: Extracting #6: cost 36 inf + 44913 8.599 * * [simplify]: Extracting #7: cost 0 inf + 58023 8.610 * * [simplify]: Extracting #8: cost 0 inf + 57823 8.620 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (log (* PI (* n 2)))) (log (sqrt k))) 8.620 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log (* PI (* n 2)))) (log (sqrt k))))) 8.621 * * * * [progress]: [ 122 / 188 ] simplifiying candidate # 8.621 * [simplify]: Simplifying (+ (log (/ 1 (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2))) 8.621 * * [simplify]: iters left: 6 (17 enodes) 8.626 * * [simplify]: iters left: 5 (71 enodes) 8.639 * * [simplify]: iters left: 4 (117 enodes) 8.689 * * [simplify]: iters left: 3 (308 enodes) 8.823 * * [simplify]: Extracting #0: cost 1 inf + 0 8.824 * * [simplify]: Extracting #1: cost 36 inf + 0 8.824 * * [simplify]: Extracting #2: cost 109 inf + 1 8.824 * * [simplify]: Extracting #3: cost 168 inf + 74 8.826 * * [simplify]: Extracting #4: cost 180 inf + 1235 8.829 * * [simplify]: Extracting #5: cost 98 inf + 21050 8.838 * * [simplify]: Extracting #6: cost 6 inf + 53801 8.848 * * [simplify]: Extracting #7: cost 0 inf + 55704 8.866 * [simplify]: Simplified to (- (/ (- (+ (+ (log PI) (log n)) (log 2)) (* k (+ (+ (log PI) (log n)) (log 2)))) 2) (log (sqrt k))) 8.866 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (+ (log PI) (log n)) (log 2)) (* k (+ (+ (log PI) (log n)) (log 2)))) 2) (log (sqrt k))))) 8.866 * * * * [progress]: [ 123 / 188 ] simplifiying candidate # 8.867 * [simplify]: Simplifying (+ (log (/ 1 (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))) 8.867 * * [simplify]: iters left: 6 (16 enodes) 8.876 * * [simplify]: iters left: 5 (69 enodes) 8.897 * * [simplify]: iters left: 4 (110 enodes) 8.940 * * [simplify]: iters left: 3 (249 enodes) 9.033 * * [simplify]: Extracting #0: cost 1 inf + 0 9.034 * * [simplify]: Extracting #1: cost 29 inf + 0 9.034 * * [simplify]: Extracting #2: cost 89 inf + 1 9.035 * * [simplify]: Extracting #3: cost 144 inf + 3 9.036 * * [simplify]: Extracting #4: cost 163 inf + 464 9.039 * * [simplify]: Extracting #5: cost 105 inf + 8181 9.051 * * [simplify]: Extracting #6: cost 14 inf + 37863 9.067 * * [simplify]: Extracting #7: cost 1 inf + 41636 9.083 * * [simplify]: Extracting #8: cost 0 inf + 41977 9.100 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))) 9.100 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))))) 9.100 * * * * [progress]: [ 124 / 188 ] simplifiying candidate # 9.101 * [simplify]: Simplifying (+ (log (/ 1 (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 9.101 * * [simplify]: iters left: 6 (15 enodes) 9.109 * * [simplify]: iters left: 5 (68 enodes) 9.131 * * [simplify]: iters left: 4 (117 enodes) 9.162 * * [simplify]: iters left: 3 (233 enodes) 9.251 * * [simplify]: Extracting #0: cost 1 inf + 0 9.251 * * [simplify]: Extracting #1: cost 21 inf + 0 9.251 * * [simplify]: Extracting #2: cost 77 inf + 1 9.255 * * [simplify]: Extracting #3: cost 133 inf + 74 9.257 * * [simplify]: Extracting #4: cost 151 inf + 995 9.261 * * [simplify]: Extracting #5: cost 77 inf + 13831 9.268 * * [simplify]: Extracting #6: cost 6 inf + 31822 9.274 * * [simplify]: Extracting #7: cost 0 inf + 34387 9.281 * [simplify]: Simplified to (- (/ (- (log (* (* 2 PI) n)) (* (log (* (* 2 PI) n)) k)) 2) (log (sqrt k))) 9.281 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* 2 PI) n)) (* (log (* (* 2 PI) n)) k)) 2) (log (sqrt k))))) 9.281 * * * * [progress]: [ 125 / 188 ] simplifiying candidate # 9.282 * [simplify]: Simplifying (+ (log (/ 1 (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 9.282 * * [simplify]: iters left: 6 (15 enodes) 9.286 * * [simplify]: iters left: 5 (68 enodes) 9.298 * * [simplify]: iters left: 4 (117 enodes) 9.337 * * [simplify]: iters left: 3 (233 enodes) 9.419 * * [simplify]: Extracting #0: cost 1 inf + 0 9.419 * * [simplify]: Extracting #1: cost 21 inf + 0 9.419 * * [simplify]: Extracting #2: cost 77 inf + 1 9.419 * * [simplify]: Extracting #3: cost 133 inf + 74 9.420 * * [simplify]: Extracting #4: cost 151 inf + 995 9.422 * * [simplify]: Extracting #5: cost 77 inf + 13831 9.432 * * [simplify]: Extracting #6: cost 6 inf + 31822 9.446 * * [simplify]: Extracting #7: cost 0 inf + 34387 9.460 * [simplify]: Simplified to (- (/ (- (log (* (* 2 PI) n)) (* (log (* (* 2 PI) n)) k)) 2) (log (sqrt k))) 9.461 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* 2 PI) n)) (* (log (* (* 2 PI) n)) k)) 2) (log (sqrt k))))) 9.461 * * * * [progress]: [ 126 / 188 ] simplifiying candidate # 9.461 * [simplify]: Simplifying (+ (log (/ 1 (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 9.461 * * [simplify]: iters left: 6 (15 enodes) 9.473 * * [simplify]: iters left: 5 (67 enodes) 9.484 * * [simplify]: iters left: 4 (117 enodes) 9.504 * * [simplify]: iters left: 3 (224 enodes) 9.591 * * [simplify]: Extracting #0: cost 1 inf + 0 9.591 * * [simplify]: Extracting #1: cost 22 inf + 0 9.591 * * [simplify]: Extracting #2: cost 106 inf + 1 9.592 * * [simplify]: Extracting #3: cost 179 inf + 74 9.593 * * [simplify]: Extracting #4: cost 179 inf + 1141 9.596 * * [simplify]: Extracting #5: cost 125 inf + 10759 9.605 * * [simplify]: Extracting #6: cost 29 inf + 38783 9.619 * * [simplify]: Extracting #7: cost 1 inf + 44007 9.632 * * [simplify]: Extracting #8: cost 0 inf + 44283 9.645 * [simplify]: Simplified to (- (* (log (* PI (* n 2))) (/ (- 1 k) 2)) (log (sqrt k))) 9.645 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (log (* PI (* n 2))) (/ (- 1 k) 2)) (log (sqrt k))))) 9.645 * * * * [progress]: [ 127 / 188 ] simplifiying candidate # 9.646 * * * * [progress]: [ 128 / 188 ] simplifiying candidate # 9.646 * * * * [progress]: [ 129 / 188 ] simplifiying candidate # 9.646 * [simplify]: Simplifying (* (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 9.646 * * [simplify]: iters left: 6 (19 enodes) 9.652 * * [simplify]: iters left: 5 (80 enodes) 9.666 * * [simplify]: iters left: 4 (188 enodes) 9.751 * * [simplify]: Extracting #0: cost 1 inf + 0 9.752 * * [simplify]: Extracting #1: cost 52 inf + 0 9.752 * * [simplify]: Extracting #2: cost 152 inf + 248 9.753 * * [simplify]: Extracting #3: cost 161 inf + 1681 9.754 * * [simplify]: Extracting #4: cost 148 inf + 2885 9.757 * * [simplify]: Extracting #5: cost 100 inf + 19336 9.771 * * [simplify]: Extracting #6: cost 2 inf + 75093 9.791 * * [simplify]: Extracting #7: cost 0 inf + 75063 9.817 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (/ (/ (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (pow (* (* PI 2) n) (/ (- 1 k) 2))) k) (sqrt k))) 9.817 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (/ (/ (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (pow (* (* PI 2) n) (/ (- 1 k) 2))) k) (sqrt k))))) 9.817 * * * * [progress]: [ 130 / 188 ] simplifiying candidate # 9.818 * [simplify]: Simplifying (* (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))) (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 9.818 * * [simplify]: iters left: 6 (17 enodes) 9.828 * * [simplify]: iters left: 5 (81 enodes) 9.858 * * [simplify]: iters left: 4 (170 enodes) 9.935 * * [simplify]: iters left: 3 (476 enodes) 10.263 * * [simplify]: Extracting #0: cost 1 inf + 0 10.263 * * [simplify]: Extracting #1: cost 91 inf + 0 10.266 * * [simplify]: Extracting #2: cost 417 inf + 3 10.270 * * [simplify]: Extracting #3: cost 448 inf + 952 10.274 * * [simplify]: Extracting #4: cost 416 inf + 4772 10.292 * * [simplify]: Extracting #5: cost 331 inf + 49541 10.352 * * [simplify]: Extracting #6: cost 64 inf + 238599 10.402 * * [simplify]: Extracting #7: cost 0 inf + 283122 10.494 * * [simplify]: Extracting #8: cost 0 inf + 280464 10.564 * * [simplify]: Extracting #9: cost 0 inf + 280424 10.610 * [simplify]: Simplified to (* (/ (* (* (pow (* n (* PI 2)) (/ (- 1 k) 4)) (pow (* n (* PI 2)) (/ (- 1 k) 4))) (pow (* n (* PI 2)) (/ (- 1 k) 4))) (* k (sqrt k))) (* (* (pow (* n (* PI 2)) (/ (- 1 k) 4)) (pow (* n (* PI 2)) (/ (- 1 k) 4))) (pow (* n (* PI 2)) (/ (- 1 k) 4)))) 10.611 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (/ (* (* (pow (* n (* PI 2)) (/ (- 1 k) 4)) (pow (* n (* PI 2)) (/ (- 1 k) 4))) (pow (* n (* PI 2)) (/ (- 1 k) 4))) (* k (sqrt k))) (* (* (pow (* n (* PI 2)) (/ (- 1 k) 4)) (pow (* n (* PI 2)) (/ (- 1 k) 4))) (pow (* n (* PI 2)) (/ (- 1 k) 4)))))) 10.611 * * * * [progress]: [ 131 / 188 ] simplifiying candidate # 10.611 * * * * [progress]: [ 132 / 188 ] simplifiying candidate # 10.611 * * * * [progress]: [ 133 / 188 ] simplifiying candidate # 10.611 * * * * [progress]: [ 134 / 188 ] simplifiying candidate # 10.611 * [simplify]: Simplifying (* 1 (pow (* (* 2 PI) n) (/ 1 2))) 10.611 * * [simplify]: iters left: 6 (9 enodes) 10.615 * * [simplify]: iters left: 5 (37 enodes) 10.623 * * [simplify]: iters left: 4 (66 enodes) 10.636 * * [simplify]: iters left: 3 (105 enodes) 10.655 * * [simplify]: iters left: 2 (164 enodes) 10.695 * * [simplify]: iters left: 1 (292 enodes) 10.791 * * [simplify]: Extracting #0: cost 1 inf + 0 10.791 * * [simplify]: Extracting #1: cost 18 inf + 0 10.792 * * [simplify]: Extracting #2: cost 64 inf + 3 10.792 * * [simplify]: Extracting #3: cost 68 inf + 53 10.793 * * [simplify]: Extracting #4: cost 55 inf + 2111 10.797 * * [simplify]: Extracting #5: cost 21 inf + 17969 10.806 * * [simplify]: Extracting #6: cost 0 inf + 32739 10.814 * * [simplify]: Extracting #7: cost 0 inf + 32659 10.823 * [simplify]: Simplified to (sqrt (* PI (* 2 n))) 10.823 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (* PI (* 2 n))) (* (sqrt k) (pow (* (* 2 PI) n) (/ k 2))))) 10.824 * [simplify]: Simplifying (* (sqrt k) (pow (* (* 2 PI) n) (/ k 2))) 10.824 * * [simplify]: iters left: 6 (10 enodes) 10.829 * * [simplify]: iters left: 5 (38 enodes) 10.841 * * [simplify]: iters left: 4 (62 enodes) 10.865 * * [simplify]: iters left: 3 (104 enodes) 10.893 * * [simplify]: iters left: 2 (205 enodes) 10.951 * * [simplify]: iters left: 1 (464 enodes) 11.245 * * [simplify]: Extracting #0: cost 1 inf + 0 11.245 * * [simplify]: Extracting #1: cost 47 inf + 0 11.246 * * [simplify]: Extracting #2: cost 169 inf + 0 11.248 * * [simplify]: Extracting #3: cost 207 inf + 87 11.251 * * [simplify]: Extracting #4: cost 170 inf + 6541 11.266 * * [simplify]: Extracting #5: cost 78 inf + 60938 11.300 * * [simplify]: Extracting #6: cost 4 inf + 129528 11.326 * * [simplify]: Extracting #7: cost 0 inf + 129330 11.368 * * [simplify]: Extracting #8: cost 0 inf + 127557 11.390 * * [simplify]: Extracting #9: cost 0 inf + 127427 11.424 * [simplify]: Simplified to (* (pow (* (* 2 PI) n) (/ k 2)) (sqrt k)) 11.425 * [simplify]: Simplified (2 2) to (λ (k n) (/ (sqrt (* PI (* 2 n))) (* (pow (* (* 2 PI) n) (/ k 2)) (sqrt k)))) 11.425 * * * * [progress]: [ 135 / 188 ] simplifiying candidate # 11.425 * * * * [progress]: [ 136 / 188 ] simplifiying candidate # 11.425 * [simplify]: Simplifying (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 11.425 * * [simplify]: iters left: 6 (15 enodes) 11.433 * * [simplify]: iters left: 5 (61 enodes) 11.446 * * [simplify]: iters left: 4 (91 enodes) 11.462 * * [simplify]: iters left: 3 (129 enodes) 11.484 * * [simplify]: iters left: 2 (215 enodes) 11.555 * * [simplify]: iters left: 1 (375 enodes) 11.713 * * [simplify]: Extracting #0: cost 1 inf + 0 11.713 * * [simplify]: Extracting #1: cost 4 inf + 0 11.713 * * [simplify]: Extracting #2: cost 9 inf + 0 11.713 * * [simplify]: Extracting #3: cost 39 inf + 0 11.714 * * [simplify]: Extracting #4: cost 118 inf + 2 11.715 * * [simplify]: Extracting #5: cost 138 inf + 713 11.719 * * [simplify]: Extracting #6: cost 87 inf + 9065 11.732 * * [simplify]: Extracting #7: cost 12 inf + 46205 11.757 * * [simplify]: Extracting #8: cost 0 inf + 55733 11.777 * * [simplify]: Extracting #9: cost 0 inf + 54639 11.788 * * [simplify]: Extracting #10: cost 0 inf + 54558 11.798 * [simplify]: Simplified to (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) 11.798 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 11.799 * [simplify]: Simplifying (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 11.799 * * [simplify]: iters left: 6 (15 enodes) 11.803 * * [simplify]: iters left: 5 (61 enodes) 11.820 * * [simplify]: iters left: 4 (91 enodes) 11.848 * * [simplify]: iters left: 3 (129 enodes) 11.874 * * [simplify]: iters left: 2 (215 enodes) 11.928 * * [simplify]: iters left: 1 (375 enodes) 12.065 * * [simplify]: Extracting #0: cost 1 inf + 0 12.065 * * [simplify]: Extracting #1: cost 4 inf + 0 12.065 * * [simplify]: Extracting #2: cost 9 inf + 0 12.065 * * [simplify]: Extracting #3: cost 39 inf + 0 12.065 * * [simplify]: Extracting #4: cost 118 inf + 2 12.066 * * [simplify]: Extracting #5: cost 138 inf + 713 12.068 * * [simplify]: Extracting #6: cost 87 inf + 9065 12.075 * * [simplify]: Extracting #7: cost 12 inf + 46205 12.095 * * [simplify]: Extracting #8: cost 0 inf + 55733 12.115 * * [simplify]: Extracting #9: cost 0 inf + 54639 12.135 * * [simplify]: Extracting #10: cost 0 inf + 54558 12.155 * [simplify]: Simplified to (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) 12.155 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))))) 12.155 * * * * [progress]: [ 137 / 188 ] simplifiying candidate # 12.155 * [simplify]: Simplifying (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 12.156 * * [simplify]: iters left: 6 (15 enodes) 12.164 * * [simplify]: iters left: 5 (64 enodes) 12.184 * * [simplify]: iters left: 4 (101 enodes) 12.222 * * [simplify]: iters left: 3 (160 enodes) 12.278 * * [simplify]: iters left: 2 (299 enodes) 12.376 * * [simplify]: Extracting #0: cost 1 inf + 0 12.376 * * [simplify]: Extracting #1: cost 34 inf + 0 12.376 * * [simplify]: Extracting #2: cost 102 inf + 0 12.377 * * [simplify]: Extracting #3: cost 155 inf + 2 12.378 * * [simplify]: Extracting #4: cost 168 inf + 139 12.379 * * [simplify]: Extracting #5: cost 136 inf + 4159 12.382 * * [simplify]: Extracting #6: cost 78 inf + 13897 12.391 * * [simplify]: Extracting #7: cost 16 inf + 59233 12.403 * * [simplify]: Extracting #8: cost 0 inf + 73111 12.420 * * [simplify]: Extracting #9: cost 0 inf + 73021 12.446 * [simplify]: Simplified to (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))) 12.446 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))) 12.447 * [simplify]: Simplifying (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 12.447 * * [simplify]: iters left: 6 (15 enodes) 12.456 * * [simplify]: iters left: 5 (64 enodes) 12.476 * * [simplify]: iters left: 4 (101 enodes) 12.509 * * [simplify]: iters left: 3 (160 enodes) 12.543 * * [simplify]: iters left: 2 (299 enodes) 12.613 * * [simplify]: Extracting #0: cost 1 inf + 0 12.613 * * [simplify]: Extracting #1: cost 34 inf + 0 12.613 * * [simplify]: Extracting #2: cost 102 inf + 0 12.613 * * [simplify]: Extracting #3: cost 155 inf + 2 12.614 * * [simplify]: Extracting #4: cost 168 inf + 139 12.615 * * [simplify]: Extracting #5: cost 136 inf + 4159 12.618 * * [simplify]: Extracting #6: cost 78 inf + 13897 12.633 * * [simplify]: Extracting #7: cost 16 inf + 59233 12.658 * * [simplify]: Extracting #8: cost 0 inf + 73111 12.679 * * [simplify]: Extracting #9: cost 0 inf + 73021 12.690 * [simplify]: Simplified to (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))) 12.690 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))))) 12.690 * * * * [progress]: [ 138 / 188 ] simplifiying candidate # 12.690 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 12.690 * * [simplify]: iters left: 6 (16 enodes) 12.695 * * [simplify]: iters left: 5 (66 enodes) 12.708 * * [simplify]: iters left: 4 (106 enodes) 12.739 * * [simplify]: iters left: 3 (156 enodes) 12.765 * * [simplify]: iters left: 2 (230 enodes) 12.814 * * [simplify]: iters left: 1 (385 enodes) 12.998 * * [simplify]: Extracting #0: cost 1 inf + 0 12.998 * * [simplify]: Extracting #1: cost 7 inf + 0 12.998 * * [simplify]: Extracting #2: cost 13 inf + 1 12.998 * * [simplify]: Extracting #3: cost 39 inf + 1 12.999 * * [simplify]: Extracting #4: cost 111 inf + 288 12.999 * * [simplify]: Extracting #5: cost 135 inf + 1697 13.002 * * [simplify]: Extracting #6: cost 69 inf + 16537 13.010 * * [simplify]: Extracting #7: cost 2 inf + 58558 13.019 * * [simplify]: Extracting #8: cost 0 inf + 59911 13.028 * * [simplify]: Extracting #9: cost 0 inf + 59711 13.040 * [simplify]: Simplified to (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 13.040 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 13.040 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 13.040 * * [simplify]: iters left: 6 (16 enodes) 13.049 * * [simplify]: iters left: 5 (66 enodes) 13.068 * * [simplify]: iters left: 4 (106 enodes) 13.097 * * [simplify]: iters left: 3 (156 enodes) 13.121 * * [simplify]: iters left: 2 (230 enodes) 13.163 * * [simplify]: iters left: 1 (385 enodes) 13.274 * * [simplify]: Extracting #0: cost 1 inf + 0 13.274 * * [simplify]: Extracting #1: cost 7 inf + 0 13.274 * * [simplify]: Extracting #2: cost 13 inf + 1 13.274 * * [simplify]: Extracting #3: cost 39 inf + 1 13.275 * * [simplify]: Extracting #4: cost 111 inf + 288 13.277 * * [simplify]: Extracting #5: cost 135 inf + 1697 13.283 * * [simplify]: Extracting #6: cost 69 inf + 16537 13.299 * * [simplify]: Extracting #7: cost 2 inf + 58558 13.318 * * [simplify]: Extracting #8: cost 0 inf + 59911 13.337 * * [simplify]: Extracting #9: cost 0 inf + 59711 13.359 * [simplify]: Simplified to (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 13.359 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 13.359 * * * * [progress]: [ 139 / 188 ] simplifiying candidate # 13.360 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 13.360 * * [simplify]: iters left: 6 (16 enodes) 13.370 * * [simplify]: iters left: 5 (69 enodes) 13.382 * * [simplify]: iters left: 4 (113 enodes) 13.401 * * [simplify]: iters left: 3 (192 enodes) 13.475 * * [simplify]: iters left: 2 (378 enodes) 13.628 * * [simplify]: Extracting #0: cost 1 inf + 0 13.628 * * [simplify]: Extracting #1: cost 45 inf + 0 13.629 * * [simplify]: Extracting #2: cost 112 inf + 1 13.630 * * [simplify]: Extracting #3: cost 167 inf + 3 13.632 * * [simplify]: Extracting #4: cost 176 inf + 259 13.635 * * [simplify]: Extracting #5: cost 141 inf + 5103 13.642 * * [simplify]: Extracting #6: cost 76 inf + 19730 13.663 * * [simplify]: Extracting #7: cost 10 inf + 66527 13.689 * * [simplify]: Extracting #8: cost 0 inf + 76629 13.717 * [simplify]: Simplified to (/ (pow (* (* n 2) PI) (* 1/4 (- 1 k))) (sqrt (sqrt k))) 13.717 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* n 2) PI) (* 1/4 (- 1 k))) (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))) 13.718 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 13.718 * * [simplify]: iters left: 6 (16 enodes) 13.727 * * [simplify]: iters left: 5 (69 enodes) 13.750 * * [simplify]: iters left: 4 (113 enodes) 13.772 * * [simplify]: iters left: 3 (192 enodes) 13.814 * * [simplify]: iters left: 2 (378 enodes) 13.960 * * [simplify]: Extracting #0: cost 1 inf + 0 13.961 * * [simplify]: Extracting #1: cost 45 inf + 0 13.961 * * [simplify]: Extracting #2: cost 112 inf + 1 13.962 * * [simplify]: Extracting #3: cost 167 inf + 3 13.962 * * [simplify]: Extracting #4: cost 176 inf + 259 13.964 * * [simplify]: Extracting #5: cost 141 inf + 5103 13.969 * * [simplify]: Extracting #6: cost 76 inf + 19730 13.979 * * [simplify]: Extracting #7: cost 10 inf + 66527 13.992 * * [simplify]: Extracting #8: cost 0 inf + 76629 14.017 * [simplify]: Simplified to (/ (pow (* (* n 2) PI) (* 1/4 (- 1 k))) (sqrt (sqrt k))) 14.017 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (/ (pow (* (* n 2) PI) (* 1/4 (- 1 k))) (sqrt (sqrt k))))) 14.017 * * * * [progress]: [ 140 / 188 ] simplifiying candidate # 14.017 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 14.017 * * [simplify]: iters left: 6 (16 enodes) 14.027 * * [simplify]: iters left: 5 (66 enodes) 14.048 * * [simplify]: iters left: 4 (106 enodes) 14.081 * * [simplify]: iters left: 3 (156 enodes) 14.127 * * [simplify]: iters left: 2 (230 enodes) 14.201 * * [simplify]: iters left: 1 (385 enodes) 14.315 * * [simplify]: Extracting #0: cost 1 inf + 0 14.315 * * [simplify]: Extracting #1: cost 7 inf + 0 14.316 * * [simplify]: Extracting #2: cost 13 inf + 1 14.316 * * [simplify]: Extracting #3: cost 39 inf + 1 14.317 * * [simplify]: Extracting #4: cost 111 inf + 288 14.319 * * [simplify]: Extracting #5: cost 135 inf + 1697 14.325 * * [simplify]: Extracting #6: cost 69 inf + 16537 14.345 * * [simplify]: Extracting #7: cost 2 inf + 58558 14.360 * * [simplify]: Extracting #8: cost 0 inf + 59911 14.369 * * [simplify]: Extracting #9: cost 0 inf + 59711 14.378 * [simplify]: Simplified to (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 14.378 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 14.378 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 14.379 * * [simplify]: iters left: 6 (16 enodes) 14.384 * * [simplify]: iters left: 5 (66 enodes) 14.396 * * [simplify]: iters left: 4 (106 enodes) 14.430 * * [simplify]: iters left: 3 (156 enodes) 14.468 * * [simplify]: iters left: 2 (230 enodes) 14.533 * * [simplify]: iters left: 1 (385 enodes) 14.718 * * [simplify]: Extracting #0: cost 1 inf + 0 14.719 * * [simplify]: Extracting #1: cost 7 inf + 0 14.719 * * [simplify]: Extracting #2: cost 13 inf + 1 14.719 * * [simplify]: Extracting #3: cost 39 inf + 1 14.719 * * [simplify]: Extracting #4: cost 111 inf + 288 14.720 * * [simplify]: Extracting #5: cost 135 inf + 1697 14.723 * * [simplify]: Extracting #6: cost 69 inf + 16537 14.736 * * [simplify]: Extracting #7: cost 2 inf + 58558 14.754 * * [simplify]: Extracting #8: cost 0 inf + 59911 14.772 * * [simplify]: Extracting #9: cost 0 inf + 59711 14.791 * [simplify]: Simplified to (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 14.791 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 14.791 * * * * [progress]: [ 141 / 188 ] simplifiying candidate # 14.791 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 14.792 * * [simplify]: iters left: 6 (16 enodes) 14.802 * * [simplify]: iters left: 5 (69 enodes) 14.825 * * [simplify]: iters left: 4 (113 enodes) 14.867 * * [simplify]: iters left: 3 (192 enodes) 14.938 * * [simplify]: iters left: 2 (378 enodes) 15.072 * * [simplify]: Extracting #0: cost 1 inf + 0 15.072 * * [simplify]: Extracting #1: cost 45 inf + 0 15.073 * * [simplify]: Extracting #2: cost 112 inf + 1 15.073 * * [simplify]: Extracting #3: cost 167 inf + 3 15.074 * * [simplify]: Extracting #4: cost 176 inf + 259 15.076 * * [simplify]: Extracting #5: cost 141 inf + 5103 15.079 * * [simplify]: Extracting #6: cost 76 inf + 19730 15.099 * * [simplify]: Extracting #7: cost 10 inf + 66527 15.116 * * [simplify]: Extracting #8: cost 0 inf + 76629 15.128 * [simplify]: Simplified to (/ (pow (* (* n 2) PI) (* 1/4 (- 1 k))) (sqrt (sqrt k))) 15.128 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* n 2) PI) (* 1/4 (- 1 k))) (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))) 15.129 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 15.129 * * [simplify]: iters left: 6 (16 enodes) 15.134 * * [simplify]: iters left: 5 (69 enodes) 15.153 * * [simplify]: iters left: 4 (113 enodes) 15.176 * * [simplify]: iters left: 3 (192 enodes) 15.222 * * [simplify]: iters left: 2 (378 enodes) 15.371 * * [simplify]: Extracting #0: cost 1 inf + 0 15.371 * * [simplify]: Extracting #1: cost 45 inf + 0 15.372 * * [simplify]: Extracting #2: cost 112 inf + 1 15.373 * * [simplify]: Extracting #3: cost 167 inf + 3 15.373 * * [simplify]: Extracting #4: cost 176 inf + 259 15.375 * * [simplify]: Extracting #5: cost 141 inf + 5103 15.379 * * [simplify]: Extracting #6: cost 76 inf + 19730 15.390 * * [simplify]: Extracting #7: cost 10 inf + 66527 15.412 * * [simplify]: Extracting #8: cost 0 inf + 76629 15.438 * [simplify]: Simplified to (/ (pow (* (* n 2) PI) (* 1/4 (- 1 k))) (sqrt (sqrt k))) 15.438 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (/ (pow (* (* n 2) PI) (* 1/4 (- 1 k))) (sqrt (sqrt k))))) 15.438 * * * * [progress]: [ 142 / 188 ] simplifiying candidate # 15.438 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 15.438 * * [simplify]: iters left: 6 (15 enodes) 15.443 * * [simplify]: iters left: 5 (63 enodes) 15.453 * * [simplify]: iters left: 4 (97 enodes) 15.476 * * [simplify]: iters left: 3 (152 enodes) 15.526 * * [simplify]: iters left: 2 (244 enodes) 15.587 * * [simplify]: iters left: 1 (400 enodes) 15.742 * * [simplify]: Extracting #0: cost 1 inf + 0 15.742 * * [simplify]: Extracting #1: cost 7 inf + 0 15.742 * * [simplify]: Extracting #2: cost 13 inf + 1 15.742 * * [simplify]: Extracting #3: cost 39 inf + 1 15.742 * * [simplify]: Extracting #4: cost 113 inf + 3 15.743 * * [simplify]: Extracting #5: cost 147 inf + 1541 15.746 * * [simplify]: Extracting #6: cost 70 inf + 15032 15.753 * * [simplify]: Extracting #7: cost 17 inf + 41663 15.762 * * [simplify]: Extracting #8: cost 0 inf + 55513 15.771 * * [simplify]: Extracting #9: cost 0 inf + 55313 15.782 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))) 15.782 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 15.782 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 15.783 * * [simplify]: iters left: 6 (15 enodes) 15.790 * * [simplify]: iters left: 5 (63 enodes) 15.810 * * [simplify]: iters left: 4 (97 enodes) 15.826 * * [simplify]: iters left: 3 (152 enodes) 15.864 * * [simplify]: iters left: 2 (244 enodes) 15.923 * * [simplify]: iters left: 1 (400 enodes) 16.086 * * [simplify]: Extracting #0: cost 1 inf + 0 16.086 * * [simplify]: Extracting #1: cost 7 inf + 0 16.086 * * [simplify]: Extracting #2: cost 13 inf + 1 16.086 * * [simplify]: Extracting #3: cost 39 inf + 1 16.087 * * [simplify]: Extracting #4: cost 113 inf + 3 16.087 * * [simplify]: Extracting #5: cost 147 inf + 1541 16.090 * * [simplify]: Extracting #6: cost 70 inf + 15032 16.097 * * [simplify]: Extracting #7: cost 17 inf + 41663 16.109 * * [simplify]: Extracting #8: cost 0 inf + 55513 16.118 * * [simplify]: Extracting #9: cost 0 inf + 55313 16.127 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))) 16.127 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))))) 16.127 * * * * [progress]: [ 143 / 188 ] simplifiying candidate # 16.128 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 16.128 * * [simplify]: iters left: 6 (15 enodes) 16.132 * * [simplify]: iters left: 5 (66 enodes) 16.144 * * [simplify]: iters left: 4 (109 enodes) 16.166 * * [simplify]: iters left: 3 (192 enodes) 16.243 * * [simplify]: iters left: 2 (371 enodes) 16.383 * * [simplify]: Extracting #0: cost 1 inf + 0 16.383 * * [simplify]: Extracting #1: cost 40 inf + 0 16.384 * * [simplify]: Extracting #2: cost 127 inf + 1 16.385 * * [simplify]: Extracting #3: cost 186 inf + 3 16.391 * * [simplify]: Extracting #4: cost 180 inf + 1500 16.394 * * [simplify]: Extracting #5: cost 115 inf + 12508 16.403 * * [simplify]: Extracting #6: cost 18 inf + 70745 16.417 * * [simplify]: Extracting #7: cost 0 inf + 85905 16.431 * [simplify]: Simplified to (/ (pow (* (* PI n) 2) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 16.431 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI n) 2) (- 1/4 (/ k 4))) (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))) 16.431 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 16.431 * * [simplify]: iters left: 6 (15 enodes) 16.436 * * [simplify]: iters left: 5 (66 enodes) 16.446 * * [simplify]: iters left: 4 (109 enodes) 16.468 * * [simplify]: iters left: 3 (192 enodes) 16.508 * * [simplify]: iters left: 2 (371 enodes) 16.651 * * [simplify]: Extracting #0: cost 1 inf + 0 16.652 * * [simplify]: Extracting #1: cost 40 inf + 0 16.652 * * [simplify]: Extracting #2: cost 127 inf + 1 16.654 * * [simplify]: Extracting #3: cost 186 inf + 3 16.656 * * [simplify]: Extracting #4: cost 180 inf + 1500 16.661 * * [simplify]: Extracting #5: cost 115 inf + 12508 16.680 * * [simplify]: Extracting #6: cost 18 inf + 70745 16.708 * * [simplify]: Extracting #7: cost 0 inf + 85905 16.734 * [simplify]: Simplified to (/ (pow (* (* PI n) 2) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 16.734 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (/ (pow (* (* PI n) 2) (- 1/4 (/ k 4))) (sqrt (sqrt k))))) 16.735 * * * * [progress]: [ 144 / 188 ] simplifiying candidate # 16.735 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 16.735 * * [simplify]: iters left: 6 (15 enodes) 16.743 * * [simplify]: iters left: 5 (63 enodes) 16.763 * * [simplify]: iters left: 4 (97 enodes) 16.791 * * [simplify]: iters left: 3 (152 enodes) 16.817 * * [simplify]: iters left: 2 (244 enodes) 16.896 * * [simplify]: iters left: 1 (400 enodes) 17.046 * * [simplify]: Extracting #0: cost 1 inf + 0 17.046 * * [simplify]: Extracting #1: cost 7 inf + 0 17.047 * * [simplify]: Extracting #2: cost 13 inf + 1 17.047 * * [simplify]: Extracting #3: cost 39 inf + 1 17.047 * * [simplify]: Extracting #4: cost 113 inf + 3 17.048 * * [simplify]: Extracting #5: cost 147 inf + 1541 17.051 * * [simplify]: Extracting #6: cost 70 inf + 15032 17.063 * * [simplify]: Extracting #7: cost 17 inf + 41663 17.080 * * [simplify]: Extracting #8: cost 0 inf + 55513 17.097 * * [simplify]: Extracting #9: cost 0 inf + 55313 17.118 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))) 17.118 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 17.119 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 17.119 * * [simplify]: iters left: 6 (15 enodes) 17.127 * * [simplify]: iters left: 5 (63 enodes) 17.142 * * [simplify]: iters left: 4 (97 enodes) 17.158 * * [simplify]: iters left: 3 (152 enodes) 17.185 * * [simplify]: iters left: 2 (244 enodes) 17.243 * * [simplify]: iters left: 1 (400 enodes) 17.338 * * [simplify]: Extracting #0: cost 1 inf + 0 17.338 * * [simplify]: Extracting #1: cost 7 inf + 0 17.338 * * [simplify]: Extracting #2: cost 13 inf + 1 17.339 * * [simplify]: Extracting #3: cost 39 inf + 1 17.339 * * [simplify]: Extracting #4: cost 113 inf + 3 17.341 * * [simplify]: Extracting #5: cost 147 inf + 1541 17.346 * * [simplify]: Extracting #6: cost 70 inf + 15032 17.360 * * [simplify]: Extracting #7: cost 17 inf + 41663 17.381 * * [simplify]: Extracting #8: cost 0 inf + 55513 17.398 * * [simplify]: Extracting #9: cost 0 inf + 55313 17.415 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))) 17.415 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))))) 17.416 * * * * [progress]: [ 145 / 188 ] simplifiying candidate # 17.416 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 17.416 * * [simplify]: iters left: 6 (15 enodes) 17.425 * * [simplify]: iters left: 5 (66 enodes) 17.446 * * [simplify]: iters left: 4 (109 enodes) 17.476 * * [simplify]: iters left: 3 (192 enodes) 17.528 * * [simplify]: iters left: 2 (371 enodes) 17.663 * * [simplify]: Extracting #0: cost 1 inf + 0 17.663 * * [simplify]: Extracting #1: cost 40 inf + 0 17.664 * * [simplify]: Extracting #2: cost 127 inf + 1 17.666 * * [simplify]: Extracting #3: cost 186 inf + 3 17.667 * * [simplify]: Extracting #4: cost 180 inf + 1500 17.674 * * [simplify]: Extracting #5: cost 115 inf + 12508 17.683 * * [simplify]: Extracting #6: cost 18 inf + 70745 17.698 * * [simplify]: Extracting #7: cost 0 inf + 85905 17.726 * [simplify]: Simplified to (/ (pow (* (* PI n) 2) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 17.726 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI n) 2) (- 1/4 (/ k 4))) (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))) 17.726 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 17.728 * * [simplify]: iters left: 6 (15 enodes) 17.737 * * [simplify]: iters left: 5 (66 enodes) 17.758 * * [simplify]: iters left: 4 (109 enodes) 17.785 * * [simplify]: iters left: 3 (192 enodes) 17.837 * * [simplify]: iters left: 2 (371 enodes) 17.984 * * [simplify]: Extracting #0: cost 1 inf + 0 17.984 * * [simplify]: Extracting #1: cost 40 inf + 0 17.985 * * [simplify]: Extracting #2: cost 127 inf + 1 17.986 * * [simplify]: Extracting #3: cost 186 inf + 3 17.988 * * [simplify]: Extracting #4: cost 180 inf + 1500 17.993 * * [simplify]: Extracting #5: cost 115 inf + 12508 18.012 * * [simplify]: Extracting #6: cost 18 inf + 70745 18.026 * * [simplify]: Extracting #7: cost 0 inf + 85905 18.040 * [simplify]: Simplified to (/ (pow (* (* PI n) 2) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 18.040 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (/ (pow (* (* PI n) 2) (- 1/4 (/ k 4))) (sqrt (sqrt k))))) 18.040 * * * * [progress]: [ 146 / 188 ] simplifiying candidate # 18.041 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 18.041 * * [simplify]: iters left: 5 (7 enodes) 18.045 * * [simplify]: iters left: 4 (32 enodes) 18.055 * * [simplify]: iters left: 3 (57 enodes) 18.064 * * [simplify]: iters left: 2 (88 enodes) 18.081 * * [simplify]: iters left: 1 (156 enodes) 18.121 * * [simplify]: Extracting #0: cost 1 inf + 0 18.121 * * [simplify]: Extracting #1: cost 13 inf + 0 18.121 * * [simplify]: Extracting #2: cost 49 inf + 2 18.121 * * [simplify]: Extracting #3: cost 80 inf + 6 18.122 * * [simplify]: Extracting #4: cost 58 inf + 1840 18.123 * * [simplify]: Extracting #5: cost 22 inf + 9206 18.126 * * [simplify]: Extracting #6: cost 1 inf + 20886 18.129 * * [simplify]: Extracting #7: cost 0 inf + 21301 18.132 * * [simplify]: Extracting #8: cost 0 inf + 21130 18.136 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 18.136 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 18.136 * * * * [progress]: [ 147 / 188 ] simplifiying candidate # 18.136 * [simplify]: Simplifying (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 18.137 * * [simplify]: iters left: 6 (11 enodes) 18.143 * * [simplify]: iters left: 5 (48 enodes) 18.153 * * [simplify]: iters left: 4 (77 enodes) 18.167 * * [simplify]: iters left: 3 (118 enodes) 18.195 * * [simplify]: iters left: 2 (206 enodes) 18.267 * * [simplify]: iters left: 1 (370 enodes) 18.424 * * [simplify]: Extracting #0: cost 1 inf + 0 18.424 * * [simplify]: Extracting #1: cost 3 inf + 0 18.424 * * [simplify]: Extracting #2: cost 27 inf + 0 18.425 * * [simplify]: Extracting #3: cost 102 inf + 1 18.426 * * [simplify]: Extracting #4: cost 162 inf + 134 18.427 * * [simplify]: Extracting #5: cost 156 inf + 519 18.432 * * [simplify]: Extracting #6: cost 94 inf + 9125 18.442 * * [simplify]: Extracting #7: cost 36 inf + 32718 18.462 * * [simplify]: Extracting #8: cost 2 inf + 60006 18.482 * * [simplify]: Extracting #9: cost 0 inf + 59623 18.508 * [simplify]: Simplified to (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) 18.508 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))))) 18.508 * * * * [progress]: [ 148 / 188 ] simplifiying candidate # 18.508 * [simplify]: Simplifying (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 18.509 * * [simplify]: iters left: 6 (11 enodes) 18.516 * * [simplify]: iters left: 5 (48 enodes) 18.534 * * [simplify]: iters left: 4 (78 enodes) 18.549 * * [simplify]: iters left: 3 (119 enodes) 18.570 * * [simplify]: iters left: 2 (210 enodes) 18.639 * * [simplify]: iters left: 1 (383 enodes) 18.775 * * [simplify]: Extracting #0: cost 1 inf + 0 18.775 * * [simplify]: Extracting #1: cost 4 inf + 0 18.775 * * [simplify]: Extracting #2: cost 28 inf + 0 18.776 * * [simplify]: Extracting #3: cost 110 inf + 1 18.777 * * [simplify]: Extracting #4: cost 152 inf + 178 18.778 * * [simplify]: Extracting #5: cost 142 inf + 935 18.782 * * [simplify]: Extracting #6: cost 87 inf + 7703 18.793 * * [simplify]: Extracting #7: cost 23 inf + 38047 18.814 * * [simplify]: Extracting #8: cost 1 inf + 56893 18.832 * * [simplify]: Extracting #9: cost 0 inf + 58062 18.842 * [simplify]: Simplified to (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 18.842 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 18.843 * * * * [progress]: [ 149 / 188 ] simplifiying candidate # 18.843 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ (- 1 k) 2)) 18.843 * * [simplify]: iters left: 5 (10 enodes) 18.846 * * [simplify]: iters left: 4 (45 enodes) 18.854 * * [simplify]: iters left: 3 (78 enodes) 18.879 * * [simplify]: iters left: 2 (118 enodes) 18.911 * * [simplify]: iters left: 1 (191 enodes) 18.954 * * [simplify]: Extracting #0: cost 1 inf + 0 18.954 * * [simplify]: Extracting #1: cost 13 inf + 0 18.954 * * [simplify]: Extracting #2: cost 59 inf + 1 18.954 * * [simplify]: Extracting #3: cost 91 inf + 7 18.955 * * [simplify]: Extracting #4: cost 83 inf + 556 18.956 * * [simplify]: Extracting #5: cost 33 inf + 11764 18.960 * * [simplify]: Extracting #6: cost 0 inf + 23469 18.965 * * [simplify]: Extracting #7: cost 0 inf + 23146 18.969 * [simplify]: Simplified to (pow (* (* 2 PI) n) (/ (- 1 k) 2)) 18.969 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) 1) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 18.969 * * * * [progress]: [ 150 / 188 ] simplifiying candidate # 18.969 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) 18.970 * * [simplify]: iters left: 6 (11 enodes) 18.973 * * [simplify]: iters left: 5 (51 enodes) 18.983 * * [simplify]: iters left: 4 (87 enodes) 19.012 * * [simplify]: iters left: 3 (143 enodes) 19.042 * * [simplify]: iters left: 2 (259 enodes) 19.114 * * [simplify]: iters left: 1 (469 enodes) 19.309 * * [simplify]: Extracting #0: cost 1 inf + 0 19.309 * * [simplify]: Extracting #1: cost 23 inf + 0 19.309 * * [simplify]: Extracting #2: cost 109 inf + 1 19.310 * * [simplify]: Extracting #3: cost 194 inf + 137 19.311 * * [simplify]: Extracting #4: cost 176 inf + 2344 19.315 * * [simplify]: Extracting #5: cost 80 inf + 17283 19.329 * * [simplify]: Extracting #6: cost 12 inf + 52046 19.349 * * [simplify]: Extracting #7: cost 0 inf + 61992 19.369 * [simplify]: Simplified to (pow (* (* 2 PI) n) (* 1/4 (- 1 k))) 19.369 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (* (* 2 PI) n) (* 1/4 (- 1 k))))) 19.369 * * * * [progress]: [ 151 / 188 ] simplifiying candidate # 19.370 * [simplify]: Simplifying (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) 19.370 * * [simplify]: iters left: 6 (6 enodes) 19.373 * * [simplify]: iters left: 5 (20 enodes) 19.379 * * [simplify]: iters left: 4 (22 enodes) 19.385 * * [simplify]: Extracting #0: cost 1 inf + 0 19.385 * * [simplify]: Extracting #1: cost 3 inf + 0 19.385 * * [simplify]: Extracting #2: cost 5 inf + 0 19.385 * * [simplify]: Extracting #3: cost 8 inf + 0 19.385 * * [simplify]: Extracting #4: cost 9 inf + 1 19.385 * * [simplify]: Extracting #5: cost 8 inf + 2 19.386 * * [simplify]: Extracting #6: cost 1 inf + 774 19.386 * * [simplify]: Extracting #7: cost 0 inf + 976 19.386 * [simplify]: Simplified to (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) 19.386 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (* (cbrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 19.386 * * * * [progress]: [ 152 / 188 ] simplifiying candidate # 19.387 * [simplify]: Simplifying (sqrt (/ 1 (sqrt k))) 19.387 * * [simplify]: iters left: 4 (5 enodes) 19.390 * * [simplify]: iters left: 3 (17 enodes) 19.395 * * [simplify]: iters left: 2 (19 enodes) 19.401 * * [simplify]: Extracting #0: cost 1 inf + 0 19.401 * * [simplify]: Extracting #1: cost 3 inf + 0 19.401 * * [simplify]: Extracting #2: cost 6 inf + 0 19.401 * * [simplify]: Extracting #3: cost 7 inf + 1 19.401 * * [simplify]: Extracting #4: cost 0 inf + 492 19.401 * [simplify]: Simplified to (sqrt (/ 1 (sqrt k))) 19.401 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 19.401 * * * * [progress]: [ 153 / 188 ] simplifiying candidate # 19.402 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 19.402 * * [simplify]: iters left: 6 (8 enodes) 19.410 * * [simplify]: iters left: 5 (32 enodes) 19.420 * * [simplify]: iters left: 4 (48 enodes) 19.434 * * [simplify]: iters left: 3 (76 enodes) 19.445 * * [simplify]: iters left: 2 (81 enodes) 19.451 * * [simplify]: Extracting #0: cost 1 inf + 0 19.451 * * [simplify]: Extracting #1: cost 6 inf + 0 19.451 * * [simplify]: Extracting #2: cost 9 inf + 1 19.451 * * [simplify]: Extracting #3: cost 11 inf + 1 19.452 * * [simplify]: Extracting #4: cost 2 inf + 1052 19.452 * * [simplify]: Extracting #5: cost 0 inf + 1376 19.452 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 19.452 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ (cbrt 1) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 19.452 * * * * [progress]: [ 154 / 188 ] simplifiying candidate # 19.452 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) 19.453 * * [simplify]: iters left: 6 (8 enodes) 19.455 * * [simplify]: iters left: 5 (29 enodes) 19.460 * * [simplify]: iters left: 4 (31 enodes) 19.464 * * [simplify]: Extracting #0: cost 1 inf + 0 19.464 * * [simplify]: Extracting #1: cost 4 inf + 0 19.464 * * [simplify]: Extracting #2: cost 6 inf + 1 19.464 * * [simplify]: Extracting #3: cost 9 inf + 1 19.464 * * [simplify]: Extracting #4: cost 8 inf + 2 19.464 * * [simplify]: Extracting #5: cost 2 inf + 729 19.464 * * [simplify]: Extracting #6: cost 0 inf + 972 19.465 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 19.465 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (* (/ (cbrt 1) (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 19.465 * * * * [progress]: [ 155 / 188 ] simplifiying candidate # 19.465 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 19.465 * * [simplify]: iters left: 5 (7 enodes) 19.468 * * [simplify]: iters left: 4 (25 enodes) 19.472 * * [simplify]: iters left: 3 (27 enodes) 19.475 * * [simplify]: Extracting #0: cost 1 inf + 0 19.475 * * [simplify]: Extracting #1: cost 4 inf + 0 19.475 * * [simplify]: Extracting #2: cost 5 inf + 1 19.475 * * [simplify]: Extracting #3: cost 7 inf + 1 19.475 * * [simplify]: Extracting #4: cost 6 inf + 2 19.475 * * [simplify]: Extracting #5: cost 2 inf + 368 19.476 * * [simplify]: Extracting #6: cost 0 inf + 490 19.476 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 19.476 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ (cbrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 19.476 * * * * [progress]: [ 156 / 188 ] simplifiying candidate # 19.476 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) 19.476 * * [simplify]: iters left: 5 (5 enodes) 19.485 * * [simplify]: iters left: 4 (19 enodes) 19.490 * * [simplify]: iters left: 3 (21 enodes) 19.494 * * [simplify]: Extracting #0: cost 1 inf + 0 19.494 * * [simplify]: Extracting #1: cost 0 inf + 1 19.494 * [simplify]: Simplified to 1 19.494 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (* (/ (cbrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 19.494 * * * * [progress]: [ 157 / 188 ] simplifiying candidate # 19.495 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 19.495 * * [simplify]: iters left: 5 (7 enodes) 19.499 * * [simplify]: iters left: 4 (25 enodes) 19.505 * * [simplify]: iters left: 3 (27 enodes) 19.509 * * [simplify]: Extracting #0: cost 1 inf + 0 19.509 * * [simplify]: Extracting #1: cost 4 inf + 0 19.509 * * [simplify]: Extracting #2: cost 5 inf + 1 19.509 * * [simplify]: Extracting #3: cost 7 inf + 1 19.509 * * [simplify]: Extracting #4: cost 6 inf + 2 19.509 * * [simplify]: Extracting #5: cost 2 inf + 368 19.509 * * [simplify]: Extracting #6: cost 0 inf + 490 19.509 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 19.509 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ (cbrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 19.509 * * * * [progress]: [ 158 / 188 ] simplifiying candidate # 19.510 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) 1) 19.510 * * [simplify]: iters left: 5 (4 enodes) 19.515 * * [simplify]: iters left: 4 (14 enodes) 19.517 * * [simplify]: iters left: 3 (16 enodes) 19.519 * * [simplify]: Extracting #0: cost 1 inf + 0 19.519 * * [simplify]: Extracting #1: cost 0 inf + 1 19.519 * [simplify]: Simplified to 1 19.519 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (* (/ (cbrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 19.519 * * * * [progress]: [ 159 / 188 ] simplifiying candidate # 19.519 * [simplify]: Simplifying (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 19.519 * * [simplify]: iters left: 6 (7 enodes) 19.521 * * [simplify]: iters left: 5 (25 enodes) 19.525 * * [simplify]: iters left: 4 (32 enodes) 19.529 * * [simplify]: iters left: 3 (34 enodes) 19.533 * * [simplify]: Extracting #0: cost 1 inf + 0 19.534 * * [simplify]: Extracting #1: cost 7 inf + 0 19.534 * * [simplify]: Extracting #2: cost 11 inf + 1 19.534 * * [simplify]: Extracting #3: cost 13 inf + 1 19.534 * * [simplify]: Extracting #4: cost 10 inf + 84 19.534 * * [simplify]: Extracting #5: cost 4 inf + 1014 19.534 * * [simplify]: Extracting #6: cost 1 inf + 1498 19.534 * * [simplify]: Extracting #7: cost 0 inf + 1700 19.535 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 19.535 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (* (/ (sqrt 1) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 19.535 * * * * [progress]: [ 160 / 188 ] simplifiying candidate # 19.535 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) 19.535 * * [simplify]: iters left: 6 (7 enodes) 19.537 * * [simplify]: iters left: 5 (24 enodes) 19.541 * * [simplify]: iters left: 4 (26 enodes) 19.548 * * [simplify]: Extracting #0: cost 1 inf + 0 19.548 * * [simplify]: Extracting #1: cost 4 inf + 0 19.548 * * [simplify]: Extracting #2: cost 6 inf + 1 19.548 * * [simplify]: Extracting #3: cost 9 inf + 1 19.548 * * [simplify]: Extracting #4: cost 8 inf + 2 19.548 * * [simplify]: Extracting #5: cost 2 inf + 730 19.549 * * [simplify]: Extracting #6: cost 0 inf + 972 19.549 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 19.549 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (* (/ (sqrt 1) (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 19.549 * * * * [progress]: [ 161 / 188 ] simplifiying candidate # 19.550 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 19.550 * * [simplify]: iters left: 4 (6 enodes) 19.553 * * [simplify]: iters left: 3 (20 enodes) 19.559 * * [simplify]: iters left: 2 (22 enodes) 19.564 * * [simplify]: Extracting #0: cost 1 inf + 0 19.564 * * [simplify]: Extracting #1: cost 4 inf + 0 19.565 * * [simplify]: Extracting #2: cost 5 inf + 1 19.565 * * [simplify]: Extracting #3: cost 7 inf + 1 19.565 * * [simplify]: Extracting #4: cost 1 inf + 368 19.565 * * [simplify]: Extracting #5: cost 0 inf + 490 19.565 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 19.565 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 19.565 * * * * [progress]: [ 162 / 188 ] simplifiying candidate # 19.566 * [simplify]: Simplifying (/ (sqrt 1) (sqrt 1)) 19.566 * * [simplify]: iters left: 3 (3 enodes) 19.569 * * [simplify]: iters left: 2 (9 enodes) 19.571 * * [simplify]: iters left: 1 (11 enodes) 19.574 * * [simplify]: Extracting #0: cost 1 inf + 0 19.574 * * [simplify]: Extracting #1: cost 0 inf + 1 19.574 * [simplify]: Simplified to 1 19.574 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (* (/ (sqrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 19.574 * * * * [progress]: [ 163 / 188 ] simplifiying candidate # 19.575 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 19.575 * * [simplify]: iters left: 4 (6 enodes) 19.579 * * [simplify]: iters left: 3 (20 enodes) 19.584 * * [simplify]: iters left: 2 (22 enodes) 19.590 * * [simplify]: Extracting #0: cost 1 inf + 0 19.590 * * [simplify]: Extracting #1: cost 4 inf + 0 19.590 * * [simplify]: Extracting #2: cost 5 inf + 1 19.590 * * [simplify]: Extracting #3: cost 7 inf + 1 19.591 * * [simplify]: Extracting #4: cost 1 inf + 368 19.591 * * [simplify]: Extracting #5: cost 0 inf + 490 19.591 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 19.591 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 19.591 * * * * [progress]: [ 164 / 188 ] simplifiying candidate # 19.592 * [simplify]: Simplifying (/ (sqrt 1) 1) 19.592 * * [simplify]: iters left: 3 (3 enodes) 19.595 * * [simplify]: iters left: 2 (9 enodes) 19.597 * * [simplify]: iters left: 1 (11 enodes) 19.600 * * [simplify]: Extracting #0: cost 1 inf + 0 19.601 * * [simplify]: Extracting #1: cost 0 inf + 1 19.601 * [simplify]: Simplified to 1 19.601 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (* (/ (sqrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 19.601 * * * * [progress]: [ 165 / 188 ] simplifiying candidate # 19.601 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 19.601 * * [simplify]: iters left: 6 (6 enodes) 19.604 * * [simplify]: iters left: 5 (22 enodes) 19.611 * * [simplify]: iters left: 4 (26 enodes) 19.619 * * [simplify]: Extracting #0: cost 1 inf + 0 19.619 * * [simplify]: Extracting #1: cost 6 inf + 0 19.619 * * [simplify]: Extracting #2: cost 9 inf + 1 19.619 * * [simplify]: Extracting #3: cost 11 inf + 1 19.619 * * [simplify]: Extracting #4: cost 8 inf + 84 19.619 * * [simplify]: Extracting #5: cost 2 inf + 1013 19.620 * * [simplify]: Extracting #6: cost 0 inf + 1376 19.620 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 19.620 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ 1 (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 19.620 * * * * [progress]: [ 166 / 188 ] simplifiying candidate # 19.620 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt k) (cbrt k)))) 19.621 * * [simplify]: iters left: 6 (6 enodes) 19.624 * * [simplify]: iters left: 5 (21 enodes) 19.630 * * [simplify]: iters left: 4 (23 enodes) 19.637 * * [simplify]: Extracting #0: cost 1 inf + 0 19.637 * * [simplify]: Extracting #1: cost 4 inf + 0 19.637 * * [simplify]: Extracting #2: cost 6 inf + 1 19.637 * * [simplify]: Extracting #3: cost 9 inf + 1 19.637 * * [simplify]: Extracting #4: cost 8 inf + 2 19.637 * * [simplify]: Extracting #5: cost 1 inf + 810 19.637 * * [simplify]: Extracting #6: cost 0 inf + 972 19.638 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 19.638 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (* (/ 1 (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 19.638 * * * * [progress]: [ 167 / 188 ] simplifiying candidate # 19.638 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 19.638 * * [simplify]: iters left: 4 (5 enodes) 19.643 * * [simplify]: iters left: 3 (17 enodes) 19.649 * * [simplify]: iters left: 2 (19 enodes) 19.655 * * [simplify]: Extracting #0: cost 1 inf + 0 19.655 * * [simplify]: Extracting #1: cost 4 inf + 0 19.655 * * [simplify]: Extracting #2: cost 5 inf + 1 19.655 * * [simplify]: Extracting #3: cost 7 inf + 1 19.655 * * [simplify]: Extracting #4: cost 0 inf + 490 19.655 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 19.655 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 19.655 * * * * [progress]: [ 168 / 188 ] simplifiying candidate # 19.656 * [simplify]: Simplifying (/ 1 (sqrt 1)) 19.656 * * [simplify]: iters left: 3 (3 enodes) 19.663 * * [simplify]: iters left: 2 (11 enodes) 19.666 * * [simplify]: iters left: 1 (13 enodes) 19.669 * * [simplify]: Extracting #0: cost 1 inf + 0 19.669 * * [simplify]: Extracting #1: cost 0 inf + 1 19.669 * [simplify]: Simplified to 1 19.669 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 19.670 * * * * [progress]: [ 169 / 188 ] simplifiying candidate # 19.670 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 19.670 * * [simplify]: iters left: 4 (5 enodes) 19.672 * * [simplify]: iters left: 3 (17 enodes) 19.678 * * [simplify]: iters left: 2 (19 enodes) 19.683 * * [simplify]: Extracting #0: cost 1 inf + 0 19.683 * * [simplify]: Extracting #1: cost 4 inf + 0 19.683 * * [simplify]: Extracting #2: cost 5 inf + 1 19.683 * * [simplify]: Extracting #3: cost 7 inf + 1 19.684 * * [simplify]: Extracting #4: cost 0 inf + 490 19.684 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 19.684 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 19.684 * * * * [progress]: [ 170 / 188 ] simplifiying candidate # 19.684 * [simplify]: Simplifying (/ 1 1) 19.685 * * [simplify]: iters left: 2 (2 enodes) 19.686 * * [simplify]: iters left: 1 (6 enodes) 19.688 * * [simplify]: Extracting #0: cost 1 inf + 0 19.688 * * [simplify]: Extracting #1: cost 0 inf + 1 19.688 * [simplify]: Simplified to 1 19.688 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 19.688 * * * * [progress]: [ 171 / 188 ] simplifiying candidate # 19.688 * * * * [progress]: [ 172 / 188 ] simplifiying candidate # 19.688 * * * * [progress]: [ 173 / 188 ] simplifiying candidate # 19.689 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ k 2)) 19.689 * * [simplify]: iters left: 5 (8 enodes) 19.693 * * [simplify]: iters left: 4 (31 enodes) 19.703 * * [simplify]: iters left: 3 (51 enodes) 19.720 * * [simplify]: iters left: 2 (85 enodes) 19.748 * * [simplify]: iters left: 1 (152 enodes) 19.779 * * [simplify]: Extracting #0: cost 1 inf + 0 19.779 * * [simplify]: Extracting #1: cost 13 inf + 0 19.779 * * [simplify]: Extracting #2: cost 60 inf + 1 19.779 * * [simplify]: Extracting #3: cost 76 inf + 51 19.780 * * [simplify]: Extracting #4: cost 44 inf + 2846 19.783 * * [simplify]: Extracting #5: cost 21 inf + 7590 19.788 * * [simplify]: Extracting #6: cost 1 inf + 20687 19.793 * * [simplify]: Extracting #7: cost 0 inf + 20539 19.799 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 19.799 * [simplify]: Simplified (2 2) to (λ (k n) (/ (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ 1 2))) (pow (* (* n 2) PI) (/ k 2)))) 19.799 * * * * [progress]: [ 174 / 188 ] simplifiying candidate # 19.799 * [simplify]: Simplifying (* 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 19.800 * * [simplify]: iters left: 6 (11 enodes) 19.806 * * [simplify]: iters left: 5 (47 enodes) 19.821 * * [simplify]: iters left: 4 (82 enodes) 19.836 * * [simplify]: iters left: 3 (126 enodes) 19.862 * * [simplify]: iters left: 2 (214 enodes) 19.935 * * [simplify]: iters left: 1 (360 enodes) 20.057 * * [simplify]: Extracting #0: cost 1 inf + 0 20.057 * * [simplify]: Extracting #1: cost 19 inf + 0 20.058 * * [simplify]: Extracting #2: cost 84 inf + 2 20.059 * * [simplify]: Extracting #3: cost 140 inf + 50 20.060 * * [simplify]: Extracting #4: cost 152 inf + 350 20.062 * * [simplify]: Extracting #5: cost 121 inf + 2516 20.068 * * [simplify]: Extracting #6: cost 59 inf + 11721 20.082 * * [simplify]: Extracting #7: cost 15 inf + 36647 20.098 * * [simplify]: Extracting #8: cost 0 inf + 48718 20.115 * * [simplify]: Extracting #9: cost 0 inf + 48296 20.132 * [simplify]: Simplified to (pow (* (* n PI) 2) (/ (- 1 k) 2)) 20.132 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (* (* n PI) 2) (/ (- 1 k) 2)) (sqrt k))) 20.132 * * * * [progress]: [ 175 / 188 ] simplifiying candidate #real (real->posit16 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))> 20.132 * * * * [progress]: [ 176 / 188 ] simplifiying candidate # 20.132 * * * * [progress]: [ 177 / 188 ] simplifiying candidate # 20.133 * [simplify]: Simplifying (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))))) 20.133 * * [simplify]: iters left: 6 (37 enodes) 20.156 * * [simplify]: iters left: 5 (187 enodes) 20.237 * * [simplify]: iters left: 4 (488 enodes) 20.406 * * [simplify]: Extracting #0: cost 1 inf + 0 20.407 * * [simplify]: Extracting #1: cost 57 inf + 0 20.408 * * [simplify]: Extracting #2: cost 294 inf + 0 20.412 * * [simplify]: Extracting #3: cost 524 inf + 199 20.417 * * [simplify]: Extracting #4: cost 512 inf + 6095 20.442 * * [simplify]: Extracting #5: cost 310 inf + 78036 20.533 * * [simplify]: Extracting #6: cost 40 inf + 220622 20.604 * * [simplify]: Extracting #7: cost 0 inf + 244981 20.666 * * [simplify]: Extracting #8: cost 0 inf + 243455 20.734 * * [simplify]: Extracting #9: cost 0 inf + 243454 20.838 * [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)))))))) 20.838 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (+ (* (* (* k k) 1/8) (+ (* (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (log (* PI 2))) (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) (+ (exp (* (+ (log n) (log (* PI 2))) 1/2)) (- (* (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (* k k) (* (log n) 1/4))) (* (* 1/2 k) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (+ (log n) (log (* PI 2)))))))))) 20.839 * * * * [progress]: [ 178 / 188 ] simplifiying candidate # 20.839 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 20.839 * * [simplify]: iters left: 6 (15 enodes) 20.844 * * [simplify]: iters left: 5 (65 enodes) 20.856 * * [simplify]: iters left: 4 (123 enodes) 20.883 * * [simplify]: iters left: 3 (361 enodes) 21.020 * * [simplify]: Extracting #0: cost 1 inf + 0 21.020 * * [simplify]: Extracting #1: cost 37 inf + 0 21.020 * * [simplify]: Extracting #2: cost 213 inf + 72 21.022 * * [simplify]: Extracting #3: cost 350 inf + 1716 21.026 * * [simplify]: Extracting #4: cost 221 inf + 30028 21.038 * * [simplify]: Extracting #5: cost 33 inf + 78046 21.057 * * [simplify]: Extracting #6: cost 1 inf + 88785 21.084 * * [simplify]: Extracting #7: cost 0 inf + 88926 21.101 * * [simplify]: Extracting #8: cost 0 inf + 88841 21.117 * [simplify]: Simplified to (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) 21.117 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))))) 21.117 * * * * [progress]: [ 179 / 188 ] simplifiying candidate # 21.117 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 21.117 * * [simplify]: iters left: 6 (16 enodes) 21.122 * * [simplify]: iters left: 5 (67 enodes) 21.140 * * [simplify]: iters left: 4 (134 enodes) 21.178 * * [simplify]: iters left: 3 (407 enodes) 21.384 * * [simplify]: Extracting #0: cost 1 inf + 0 21.384 * * [simplify]: Extracting #1: cost 39 inf + 0 21.385 * * [simplify]: Extracting #2: cost 241 inf + 72 21.387 * * [simplify]: Extracting #3: cost 449 inf + 888 21.392 * * [simplify]: Extracting #4: cost 283 inf + 39678 21.415 * * [simplify]: Extracting #5: cost 24 inf + 116942 21.444 * * [simplify]: Extracting #6: cost 0 inf + 121984 21.478 * * [simplify]: Extracting #7: cost 0 inf + 121983 21.520 * [simplify]: Simplified to (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) 21.520 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))))) 21.521 * * * * [progress]: [ 180 / 188 ] simplifiying candidate # 21.521 * [simplify]: Simplifying (* 2 (* n PI)) 21.521 * * [simplify]: iters left: 4 (5 enodes) 21.524 * * [simplify]: iters left: 3 (19 enodes) 21.529 * * [simplify]: iters left: 2 (27 enodes) 21.537 * * [simplify]: iters left: 1 (32 enodes) 21.544 * * [simplify]: Extracting #0: cost 1 inf + 0 21.545 * * [simplify]: Extracting #1: cost 8 inf + 0 21.545 * * [simplify]: Extracting #2: cost 7 inf + 45 21.545 * * [simplify]: Extracting #3: cost 0 inf + 421 21.547 * [simplify]: Simplified to (* (* PI n) 2) 21.547 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))) 21.547 * * * * [progress]: [ 181 / 188 ] simplifiying candidate # 21.547 * [simplify]: Simplifying (* 2 (* n PI)) 21.547 * * [simplify]: iters left: 4 (5 enodes) 21.550 * * [simplify]: iters left: 3 (19 enodes) 21.556 * * [simplify]: iters left: 2 (27 enodes) 21.564 * * [simplify]: iters left: 1 (32 enodes) 21.571 * * [simplify]: Extracting #0: cost 1 inf + 0 21.571 * * [simplify]: Extracting #1: cost 8 inf + 0 21.572 * * [simplify]: Extracting #2: cost 7 inf + 45 21.572 * * [simplify]: Extracting #3: cost 0 inf + 421 21.572 * [simplify]: Simplified to (* (* PI n) 2) 21.572 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))) 21.572 * * * * [progress]: [ 182 / 188 ] simplifiying candidate # 21.573 * [simplify]: Simplifying (* 2 (* n PI)) 21.573 * * [simplify]: iters left: 4 (5 enodes) 21.575 * * [simplify]: iters left: 3 (19 enodes) 21.581 * * [simplify]: iters left: 2 (27 enodes) 21.589 * * [simplify]: iters left: 1 (32 enodes) 21.596 * * [simplify]: Extracting #0: cost 1 inf + 0 21.597 * * [simplify]: Extracting #1: cost 8 inf + 0 21.597 * * [simplify]: Extracting #2: cost 7 inf + 45 21.597 * * [simplify]: Extracting #3: cost 0 inf + 421 21.597 * [simplify]: Simplified to (* (* PI n) 2) 21.597 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))) 21.597 * * * * [progress]: [ 183 / 188 ] simplifiying candidate # 21.598 * [simplify]: Simplifying (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 21.598 * [simplify]: Simplified (2 1) to (λ (k n) (* +nan.0 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 21.598 * * * * [progress]: [ 184 / 188 ] simplifiying candidate # 21.598 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 21.598 * [simplify]: Simplified (2 1) to (λ (k n) (* +nan.0 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 21.598 * * * * [progress]: [ 185 / 188 ] simplifiying candidate # 21.599 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 21.599 * [simplify]: Simplified (2 1) to (λ (k n) (* +nan.0 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 21.599 * * * * [progress]: [ 186 / 188 ] simplifiying candidate # 21.599 * [simplify]: Simplifying (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))) 21.599 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 21.599 * * * * [progress]: [ 187 / 188 ] simplifiying candidate # 21.600 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3)))))))) 21.600 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 21.600 * * * * [progress]: [ 188 / 188 ] simplifiying candidate # 21.600 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))))))) 21.600 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 21.601 * * * [progress]: adding candidates to table 23.569 * * [progress]: iteration 2 / 4 23.569 * * * [progress]: picking best candidate 23.621 * * * * [pick]: Picked # 23.621 * * * [progress]: localizing error 23.676 * * * [progress]: generating rewritten candidates 23.676 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 23.691 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 23.709 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 23.753 * * * [progress]: generating series expansions 23.753 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 23.754 * [backup-simplify]: Simplify (pow (* (* 2 PI) n) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) 23.754 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0 23.754 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 23.754 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 23.754 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 23.754 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 23.754 * [taylor]: Taking taylor expansion of 1/2 in k 23.754 * [backup-simplify]: Simplify 1/2 into 1/2 23.754 * [taylor]: Taking taylor expansion of (- 1 k) in k 23.754 * [taylor]: Taking taylor expansion of 1 in k 23.754 * [backup-simplify]: Simplify 1 into 1 23.754 * [taylor]: Taking taylor expansion of k in k 23.754 * [backup-simplify]: Simplify 0 into 0 23.754 * [backup-simplify]: Simplify 1 into 1 23.754 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 23.754 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 23.754 * [taylor]: Taking taylor expansion of 2 in k 23.755 * [backup-simplify]: Simplify 2 into 2 23.755 * [taylor]: Taking taylor expansion of (* n PI) in k 23.755 * [taylor]: Taking taylor expansion of n in k 23.755 * [backup-simplify]: Simplify n into n 23.755 * [taylor]: Taking taylor expansion of PI in k 23.755 * [backup-simplify]: Simplify PI into PI 23.755 * [backup-simplify]: Simplify (* n PI) into (* n PI) 23.755 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 23.755 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 23.755 * [backup-simplify]: Simplify (- 0) into 0 23.756 * [backup-simplify]: Simplify (+ 1 0) into 1 23.756 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 23.756 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 23.756 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 23.756 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 23.756 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 23.756 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 23.757 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 23.757 * [taylor]: Taking taylor expansion of 1/2 in n 23.757 * [backup-simplify]: Simplify 1/2 into 1/2 23.757 * [taylor]: Taking taylor expansion of (- 1 k) in n 23.757 * [taylor]: Taking taylor expansion of 1 in n 23.757 * [backup-simplify]: Simplify 1 into 1 23.757 * [taylor]: Taking taylor expansion of k in n 23.757 * [backup-simplify]: Simplify k into k 23.757 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 23.757 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 23.757 * [taylor]: Taking taylor expansion of 2 in n 23.757 * [backup-simplify]: Simplify 2 into 2 23.757 * [taylor]: Taking taylor expansion of (* n PI) in n 23.757 * [taylor]: Taking taylor expansion of n in n 23.757 * [backup-simplify]: Simplify 0 into 0 23.757 * [backup-simplify]: Simplify 1 into 1 23.757 * [taylor]: Taking taylor expansion of PI in n 23.757 * [backup-simplify]: Simplify PI into PI 23.757 * [backup-simplify]: Simplify (* 0 PI) into 0 23.758 * [backup-simplify]: Simplify (* 2 0) into 0 23.759 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 23.761 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 23.762 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 23.762 * [backup-simplify]: Simplify (- k) into (- k) 23.762 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 23.762 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 23.763 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 23.764 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 23.768 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 23.768 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 23.768 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 23.768 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 23.768 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 23.768 * [taylor]: Taking taylor expansion of 1/2 in n 23.768 * [backup-simplify]: Simplify 1/2 into 1/2 23.769 * [taylor]: Taking taylor expansion of (- 1 k) in n 23.769 * [taylor]: Taking taylor expansion of 1 in n 23.769 * [backup-simplify]: Simplify 1 into 1 23.769 * [taylor]: Taking taylor expansion of k in n 23.769 * [backup-simplify]: Simplify k into k 23.769 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 23.769 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 23.769 * [taylor]: Taking taylor expansion of 2 in n 23.769 * [backup-simplify]: Simplify 2 into 2 23.769 * [taylor]: Taking taylor expansion of (* n PI) in n 23.769 * [taylor]: Taking taylor expansion of n in n 23.769 * [backup-simplify]: Simplify 0 into 0 23.769 * [backup-simplify]: Simplify 1 into 1 23.769 * [taylor]: Taking taylor expansion of PI in n 23.769 * [backup-simplify]: Simplify PI into PI 23.769 * [backup-simplify]: Simplify (* 0 PI) into 0 23.770 * [backup-simplify]: Simplify (* 2 0) into 0 23.771 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 23.772 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 23.773 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 23.773 * [backup-simplify]: Simplify (- k) into (- k) 23.774 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 23.774 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 23.775 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 23.776 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 23.777 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 23.777 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 23.777 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 23.777 * [taylor]: Taking taylor expansion of 1/2 in k 23.777 * [backup-simplify]: Simplify 1/2 into 1/2 23.777 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 23.777 * [taylor]: Taking taylor expansion of (- 1 k) in k 23.777 * [taylor]: Taking taylor expansion of 1 in k 23.777 * [backup-simplify]: Simplify 1 into 1 23.777 * [taylor]: Taking taylor expansion of k in k 23.777 * [backup-simplify]: Simplify 0 into 0 23.777 * [backup-simplify]: Simplify 1 into 1 23.777 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 23.777 * [taylor]: Taking taylor expansion of (log n) in k 23.777 * [taylor]: Taking taylor expansion of n in k 23.777 * [backup-simplify]: Simplify n into n 23.777 * [backup-simplify]: Simplify (log n) into (log n) 23.777 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 23.777 * [taylor]: Taking taylor expansion of (* 2 PI) in k 23.777 * [taylor]: Taking taylor expansion of 2 in k 23.778 * [backup-simplify]: Simplify 2 into 2 23.778 * [taylor]: Taking taylor expansion of PI in k 23.778 * [backup-simplify]: Simplify PI into PI 23.778 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 23.779 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 23.779 * [backup-simplify]: Simplify (- 0) into 0 23.780 * [backup-simplify]: Simplify (+ 1 0) into 1 23.781 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 23.782 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 23.783 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 23.784 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 23.785 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 23.786 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 23.787 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 23.788 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 23.789 * [backup-simplify]: Simplify (- 0) into 0 23.789 * [backup-simplify]: Simplify (+ 0 0) into 0 23.789 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 23.791 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 23.792 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 23.794 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 23.794 * [taylor]: Taking taylor expansion of 0 in k 23.794 * [backup-simplify]: Simplify 0 into 0 23.794 * [backup-simplify]: Simplify 0 into 0 23.795 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 23.795 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 23.797 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 23.797 * [backup-simplify]: Simplify (+ 0 0) into 0 23.798 * [backup-simplify]: Simplify (- 1) into -1 23.798 * [backup-simplify]: Simplify (+ 0 -1) into -1 23.800 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 23.802 * [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))))) 23.804 * [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))))))) 23.807 * [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))))))) 23.808 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 23.809 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 23.812 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 23.813 * [backup-simplify]: Simplify (- 0) into 0 23.813 * [backup-simplify]: Simplify (+ 0 0) into 0 23.814 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 23.815 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 23.817 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 23.819 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 23.819 * [taylor]: Taking taylor expansion of 0 in k 23.819 * [backup-simplify]: Simplify 0 into 0 23.819 * [backup-simplify]: Simplify 0 into 0 23.819 * [backup-simplify]: Simplify 0 into 0 23.821 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 23.822 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 23.826 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 23.827 * [backup-simplify]: Simplify (+ 0 0) into 0 23.827 * [backup-simplify]: Simplify (- 0) into 0 23.828 * [backup-simplify]: Simplify (+ 0 0) into 0 23.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 23.833 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 23.837 * [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))))) 23.842 * [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))))) 23.852 * [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))))) 23.852 * [backup-simplify]: Simplify (pow (* (* 2 PI) (/ 1 n)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) 23.852 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 23.853 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 23.853 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 23.853 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 23.853 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 23.853 * [taylor]: Taking taylor expansion of 1/2 in k 23.853 * [backup-simplify]: Simplify 1/2 into 1/2 23.853 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 23.853 * [taylor]: Taking taylor expansion of 1 in k 23.853 * [backup-simplify]: Simplify 1 into 1 23.853 * [taylor]: Taking taylor expansion of (/ 1 k) in k 23.853 * [taylor]: Taking taylor expansion of k in k 23.853 * [backup-simplify]: Simplify 0 into 0 23.853 * [backup-simplify]: Simplify 1 into 1 23.853 * [backup-simplify]: Simplify (/ 1 1) into 1 23.853 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 23.853 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 23.853 * [taylor]: Taking taylor expansion of 2 in k 23.853 * [backup-simplify]: Simplify 2 into 2 23.854 * [taylor]: Taking taylor expansion of (/ PI n) in k 23.854 * [taylor]: Taking taylor expansion of PI in k 23.854 * [backup-simplify]: Simplify PI into PI 23.854 * [taylor]: Taking taylor expansion of n in k 23.854 * [backup-simplify]: Simplify n into n 23.854 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 23.854 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 23.854 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 23.854 * [backup-simplify]: Simplify (- 1) into -1 23.855 * [backup-simplify]: Simplify (+ 0 -1) into -1 23.855 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 23.855 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 23.855 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 23.855 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 23.855 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 23.855 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 23.856 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 23.856 * [taylor]: Taking taylor expansion of 1/2 in n 23.856 * [backup-simplify]: Simplify 1/2 into 1/2 23.856 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 23.856 * [taylor]: Taking taylor expansion of 1 in n 23.856 * [backup-simplify]: Simplify 1 into 1 23.856 * [taylor]: Taking taylor expansion of (/ 1 k) in n 23.856 * [taylor]: Taking taylor expansion of k in n 23.856 * [backup-simplify]: Simplify k into k 23.856 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 23.856 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 23.856 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 23.856 * [taylor]: Taking taylor expansion of 2 in n 23.856 * [backup-simplify]: Simplify 2 into 2 23.856 * [taylor]: Taking taylor expansion of (/ PI n) in n 23.856 * [taylor]: Taking taylor expansion of PI in n 23.856 * [backup-simplify]: Simplify PI into PI 23.856 * [taylor]: Taking taylor expansion of n in n 23.856 * [backup-simplify]: Simplify 0 into 0 23.856 * [backup-simplify]: Simplify 1 into 1 23.856 * [backup-simplify]: Simplify (/ PI 1) into PI 23.857 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 23.858 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 23.858 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 23.858 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 23.858 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 23.859 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 23.860 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 23.861 * [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))))) 23.861 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 23.861 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 23.861 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 23.861 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 23.861 * [taylor]: Taking taylor expansion of 1/2 in n 23.861 * [backup-simplify]: Simplify 1/2 into 1/2 23.861 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 23.861 * [taylor]: Taking taylor expansion of 1 in n 23.861 * [backup-simplify]: Simplify 1 into 1 23.861 * [taylor]: Taking taylor expansion of (/ 1 k) in n 23.861 * [taylor]: Taking taylor expansion of k in n 23.861 * [backup-simplify]: Simplify k into k 23.861 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 23.861 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 23.861 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 23.862 * [taylor]: Taking taylor expansion of 2 in n 23.862 * [backup-simplify]: Simplify 2 into 2 23.862 * [taylor]: Taking taylor expansion of (/ PI n) in n 23.862 * [taylor]: Taking taylor expansion of PI in n 23.862 * [backup-simplify]: Simplify PI into PI 23.862 * [taylor]: Taking taylor expansion of n in n 23.862 * [backup-simplify]: Simplify 0 into 0 23.862 * [backup-simplify]: Simplify 1 into 1 23.862 * [backup-simplify]: Simplify (/ PI 1) into PI 23.862 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 23.863 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 23.863 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 23.863 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 23.864 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 23.865 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 23.866 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 23.867 * [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))))) 23.867 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 23.867 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 23.867 * [taylor]: Taking taylor expansion of 1/2 in k 23.867 * [backup-simplify]: Simplify 1/2 into 1/2 23.867 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 23.867 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 23.867 * [taylor]: Taking taylor expansion of 1 in k 23.867 * [backup-simplify]: Simplify 1 into 1 23.867 * [taylor]: Taking taylor expansion of (/ 1 k) in k 23.867 * [taylor]: Taking taylor expansion of k in k 23.867 * [backup-simplify]: Simplify 0 into 0 23.867 * [backup-simplify]: Simplify 1 into 1 23.868 * [backup-simplify]: Simplify (/ 1 1) into 1 23.868 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 23.868 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 23.868 * [taylor]: Taking taylor expansion of (* 2 PI) in k 23.868 * [taylor]: Taking taylor expansion of 2 in k 23.868 * [backup-simplify]: Simplify 2 into 2 23.868 * [taylor]: Taking taylor expansion of PI in k 23.868 * [backup-simplify]: Simplify PI into PI 23.868 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 23.869 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 23.869 * [taylor]: Taking taylor expansion of (log n) in k 23.869 * [taylor]: Taking taylor expansion of n in k 23.869 * [backup-simplify]: Simplify n into n 23.869 * [backup-simplify]: Simplify (log n) into (log n) 23.870 * [backup-simplify]: Simplify (- 1) into -1 23.870 * [backup-simplify]: Simplify (+ 0 -1) into -1 23.870 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 23.871 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 23.872 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 23.873 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 23.874 * [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))))) 23.875 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 23.876 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 23.877 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 23.878 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 23.878 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 23.879 * [backup-simplify]: Simplify (- 0) into 0 23.879 * [backup-simplify]: Simplify (+ 0 0) into 0 23.879 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 23.881 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 23.882 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 23.884 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 23.884 * [taylor]: Taking taylor expansion of 0 in k 23.884 * [backup-simplify]: Simplify 0 into 0 23.884 * [backup-simplify]: Simplify 0 into 0 23.884 * [backup-simplify]: Simplify 0 into 0 23.885 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.886 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 23.890 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 23.890 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 23.890 * [backup-simplify]: Simplify (- 0) into 0 23.891 * [backup-simplify]: Simplify (+ 0 0) into 0 23.891 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 23.893 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 23.894 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 23.896 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 23.897 * [taylor]: Taking taylor expansion of 0 in k 23.897 * [backup-simplify]: Simplify 0 into 0 23.897 * [backup-simplify]: Simplify 0 into 0 23.897 * [backup-simplify]: Simplify 0 into 0 23.897 * [backup-simplify]: Simplify 0 into 0 23.898 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.899 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 23.904 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 23.905 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 23.907 * [backup-simplify]: Simplify (- 0) into 0 23.908 * [backup-simplify]: Simplify (+ 0 0) into 0 23.909 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 23.910 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 23.912 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 23.916 * [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 23.916 * [taylor]: Taking taylor expansion of 0 in k 23.916 * [backup-simplify]: Simplify 0 into 0 23.916 * [backup-simplify]: Simplify 0 into 0 23.917 * [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)))))) 23.918 * [backup-simplify]: Simplify (pow (* (* 2 PI) (/ 1 (- n))) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) 23.918 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 23.918 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 23.918 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 23.918 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 23.918 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 23.918 * [taylor]: Taking taylor expansion of 1/2 in k 23.918 * [backup-simplify]: Simplify 1/2 into 1/2 23.918 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 23.918 * [taylor]: Taking taylor expansion of (/ 1 k) in k 23.918 * [taylor]: Taking taylor expansion of k in k 23.918 * [backup-simplify]: Simplify 0 into 0 23.918 * [backup-simplify]: Simplify 1 into 1 23.918 * [backup-simplify]: Simplify (/ 1 1) into 1 23.919 * [taylor]: Taking taylor expansion of 1 in k 23.919 * [backup-simplify]: Simplify 1 into 1 23.919 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 23.919 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 23.919 * [taylor]: Taking taylor expansion of -2 in k 23.919 * [backup-simplify]: Simplify -2 into -2 23.919 * [taylor]: Taking taylor expansion of (/ PI n) in k 23.919 * [taylor]: Taking taylor expansion of PI in k 23.919 * [backup-simplify]: Simplify PI into PI 23.919 * [taylor]: Taking taylor expansion of n in k 23.919 * [backup-simplify]: Simplify n into n 23.919 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 23.919 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 23.919 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 23.919 * [backup-simplify]: Simplify (+ 1 0) into 1 23.920 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 23.920 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 23.920 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 23.920 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 23.920 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 23.920 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 23.920 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 23.920 * [taylor]: Taking taylor expansion of 1/2 in n 23.920 * [backup-simplify]: Simplify 1/2 into 1/2 23.920 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 23.920 * [taylor]: Taking taylor expansion of (/ 1 k) in n 23.920 * [taylor]: Taking taylor expansion of k in n 23.920 * [backup-simplify]: Simplify k into k 23.921 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 23.921 * [taylor]: Taking taylor expansion of 1 in n 23.921 * [backup-simplify]: Simplify 1 into 1 23.921 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 23.921 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 23.921 * [taylor]: Taking taylor expansion of -2 in n 23.921 * [backup-simplify]: Simplify -2 into -2 23.921 * [taylor]: Taking taylor expansion of (/ PI n) in n 23.921 * [taylor]: Taking taylor expansion of PI in n 23.921 * [backup-simplify]: Simplify PI into PI 23.921 * [taylor]: Taking taylor expansion of n in n 23.921 * [backup-simplify]: Simplify 0 into 0 23.921 * [backup-simplify]: Simplify 1 into 1 23.921 * [backup-simplify]: Simplify (/ PI 1) into PI 23.922 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 23.923 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 23.923 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 23.923 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 23.924 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 23.925 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 23.926 * [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))))) 23.926 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 23.926 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 23.927 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 23.927 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 23.927 * [taylor]: Taking taylor expansion of 1/2 in n 23.927 * [backup-simplify]: Simplify 1/2 into 1/2 23.927 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 23.927 * [taylor]: Taking taylor expansion of (/ 1 k) in n 23.927 * [taylor]: Taking taylor expansion of k in n 23.927 * [backup-simplify]: Simplify k into k 23.927 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 23.927 * [taylor]: Taking taylor expansion of 1 in n 23.927 * [backup-simplify]: Simplify 1 into 1 23.927 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 23.927 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 23.927 * [taylor]: Taking taylor expansion of -2 in n 23.927 * [backup-simplify]: Simplify -2 into -2 23.927 * [taylor]: Taking taylor expansion of (/ PI n) in n 23.927 * [taylor]: Taking taylor expansion of PI in n 23.927 * [backup-simplify]: Simplify PI into PI 23.927 * [taylor]: Taking taylor expansion of n in n 23.927 * [backup-simplify]: Simplify 0 into 0 23.927 * [backup-simplify]: Simplify 1 into 1 23.928 * [backup-simplify]: Simplify (/ PI 1) into PI 23.928 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 23.929 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 23.929 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 23.929 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 23.931 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 23.932 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 23.933 * [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))))) 23.933 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 23.933 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 23.933 * [taylor]: Taking taylor expansion of 1/2 in k 23.933 * [backup-simplify]: Simplify 1/2 into 1/2 23.933 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 23.933 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 23.933 * [taylor]: Taking taylor expansion of (/ 1 k) in k 23.933 * [taylor]: Taking taylor expansion of k in k 23.933 * [backup-simplify]: Simplify 0 into 0 23.933 * [backup-simplify]: Simplify 1 into 1 23.934 * [backup-simplify]: Simplify (/ 1 1) into 1 23.934 * [taylor]: Taking taylor expansion of 1 in k 23.934 * [backup-simplify]: Simplify 1 into 1 23.934 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 23.934 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 23.934 * [taylor]: Taking taylor expansion of (* -2 PI) in k 23.934 * [taylor]: Taking taylor expansion of -2 in k 23.934 * [backup-simplify]: Simplify -2 into -2 23.934 * [taylor]: Taking taylor expansion of PI in k 23.934 * [backup-simplify]: Simplify PI into PI 23.934 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 23.935 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 23.935 * [taylor]: Taking taylor expansion of (log n) in k 23.935 * [taylor]: Taking taylor expansion of n in k 23.935 * [backup-simplify]: Simplify n into n 23.935 * [backup-simplify]: Simplify (log n) into (log n) 23.936 * [backup-simplify]: Simplify (+ 1 0) into 1 23.936 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 23.937 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 23.938 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 23.939 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 23.940 * [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))))) 23.941 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 23.942 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 23.943 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 23.945 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 23.945 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 23.946 * [backup-simplify]: Simplify (+ 0 0) into 0 23.946 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 23.948 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 23.949 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 23.951 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 23.951 * [taylor]: Taking taylor expansion of 0 in k 23.951 * [backup-simplify]: Simplify 0 into 0 23.951 * [backup-simplify]: Simplify 0 into 0 23.951 * [backup-simplify]: Simplify 0 into 0 23.952 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.953 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 23.956 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0 23.957 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 23.957 * [backup-simplify]: Simplify (+ 0 0) into 0 23.958 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 23.959 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 23.961 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 23.963 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 23.963 * [taylor]: Taking taylor expansion of 0 in k 23.963 * [backup-simplify]: Simplify 0 into 0 23.963 * [backup-simplify]: Simplify 0 into 0 23.963 * [backup-simplify]: Simplify 0 into 0 23.963 * [backup-simplify]: Simplify 0 into 0 23.965 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.966 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 23.972 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 PI) 1)))) 6) into 0 23.972 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 23.973 * [backup-simplify]: Simplify (+ 0 0) into 0 23.974 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 23.975 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 23.977 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 23.980 * [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 23.981 * [taylor]: Taking taylor expansion of 0 in k 23.981 * [backup-simplify]: Simplify 0 into 0 23.981 * [backup-simplify]: Simplify 0 into 0 23.982 * [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)))))) 23.982 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 23.982 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 23.982 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 23.982 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 23.983 * [taylor]: Taking taylor expansion of 2 in n 23.983 * [backup-simplify]: Simplify 2 into 2 23.983 * [taylor]: Taking taylor expansion of (* n PI) in n 23.983 * [taylor]: Taking taylor expansion of n in n 23.983 * [backup-simplify]: Simplify 0 into 0 23.983 * [backup-simplify]: Simplify 1 into 1 23.983 * [taylor]: Taking taylor expansion of PI in n 23.983 * [backup-simplify]: Simplify PI into PI 23.983 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 23.983 * [taylor]: Taking taylor expansion of 2 in n 23.983 * [backup-simplify]: Simplify 2 into 2 23.983 * [taylor]: Taking taylor expansion of (* n PI) in n 23.983 * [taylor]: Taking taylor expansion of n in n 23.983 * [backup-simplify]: Simplify 0 into 0 23.983 * [backup-simplify]: Simplify 1 into 1 23.983 * [taylor]: Taking taylor expansion of PI in n 23.983 * [backup-simplify]: Simplify PI into PI 23.983 * [backup-simplify]: Simplify (* 0 PI) into 0 23.984 * [backup-simplify]: Simplify (* 2 0) into 0 23.984 * [backup-simplify]: Simplify 0 into 0 23.985 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 23.987 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 23.987 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 23.988 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 23.988 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 23.988 * [backup-simplify]: Simplify 0 into 0 23.989 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 23.990 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 23.990 * [backup-simplify]: Simplify 0 into 0 23.990 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 23.991 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 23.991 * [backup-simplify]: Simplify 0 into 0 23.992 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 23.993 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 23.993 * [backup-simplify]: Simplify 0 into 0 23.994 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 23.995 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 23.995 * [backup-simplify]: Simplify 0 into 0 23.996 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 23.997 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 23.997 * [backup-simplify]: Simplify 0 into 0 23.997 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 23.997 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 n)) into (* 2 (/ PI n)) 23.997 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 23.997 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 23.997 * [taylor]: Taking taylor expansion of 2 in n 23.997 * [backup-simplify]: Simplify 2 into 2 23.998 * [taylor]: Taking taylor expansion of (/ PI n) in n 23.998 * [taylor]: Taking taylor expansion of PI in n 23.998 * [backup-simplify]: Simplify PI into PI 23.998 * [taylor]: Taking taylor expansion of n in n 23.998 * [backup-simplify]: Simplify 0 into 0 23.998 * [backup-simplify]: Simplify 1 into 1 23.998 * [backup-simplify]: Simplify (/ PI 1) into PI 23.998 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 23.998 * [taylor]: Taking taylor expansion of 2 in n 23.998 * [backup-simplify]: Simplify 2 into 2 23.998 * [taylor]: Taking taylor expansion of (/ PI n) in n 23.998 * [taylor]: Taking taylor expansion of PI in n 23.998 * [backup-simplify]: Simplify PI into PI 23.998 * [taylor]: Taking taylor expansion of n in n 23.998 * [backup-simplify]: Simplify 0 into 0 23.998 * [backup-simplify]: Simplify 1 into 1 23.998 * [backup-simplify]: Simplify (/ PI 1) into PI 23.999 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 23.999 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 23.999 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 24.000 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 24.000 * [backup-simplify]: Simplify 0 into 0 24.000 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.001 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 24.001 * [backup-simplify]: Simplify 0 into 0 24.002 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.002 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 24.002 * [backup-simplify]: Simplify 0 into 0 24.003 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.004 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 24.004 * [backup-simplify]: Simplify 0 into 0 24.004 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.005 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 24.005 * [backup-simplify]: Simplify 0 into 0 24.006 * [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 24.007 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 24.007 * [backup-simplify]: Simplify 0 into 0 24.007 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 24.007 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (- n))) into (* -2 (/ PI n)) 24.007 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 24.007 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 24.007 * [taylor]: Taking taylor expansion of -2 in n 24.007 * [backup-simplify]: Simplify -2 into -2 24.007 * [taylor]: Taking taylor expansion of (/ PI n) in n 24.008 * [taylor]: Taking taylor expansion of PI in n 24.008 * [backup-simplify]: Simplify PI into PI 24.008 * [taylor]: Taking taylor expansion of n in n 24.008 * [backup-simplify]: Simplify 0 into 0 24.008 * [backup-simplify]: Simplify 1 into 1 24.008 * [backup-simplify]: Simplify (/ PI 1) into PI 24.008 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 24.008 * [taylor]: Taking taylor expansion of -2 in n 24.008 * [backup-simplify]: Simplify -2 into -2 24.008 * [taylor]: Taking taylor expansion of (/ PI n) in n 24.008 * [taylor]: Taking taylor expansion of PI in n 24.008 * [backup-simplify]: Simplify PI into PI 24.008 * [taylor]: Taking taylor expansion of n in n 24.008 * [backup-simplify]: Simplify 0 into 0 24.008 * [backup-simplify]: Simplify 1 into 1 24.008 * [backup-simplify]: Simplify (/ PI 1) into PI 24.009 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 24.009 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 24.009 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 24.010 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 24.010 * [backup-simplify]: Simplify 0 into 0 24.010 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.011 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 24.011 * [backup-simplify]: Simplify 0 into 0 24.012 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.012 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 24.012 * [backup-simplify]: Simplify 0 into 0 24.013 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.014 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 24.014 * [backup-simplify]: Simplify 0 into 0 24.014 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.015 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 24.015 * [backup-simplify]: Simplify 0 into 0 24.016 * [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 24.016 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 24.017 * [backup-simplify]: Simplify 0 into 0 24.017 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 24.017 * * * * [progress]: [ 3 / 3 ] generating series at (2) 24.017 * [backup-simplify]: Simplify (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) 24.017 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (k n) around 0 24.017 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 24.017 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 24.017 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 24.017 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 24.017 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 24.017 * [taylor]: Taking taylor expansion of 1/2 in n 24.017 * [backup-simplify]: Simplify 1/2 into 1/2 24.017 * [taylor]: Taking taylor expansion of (- 1 k) in n 24.018 * [taylor]: Taking taylor expansion of 1 in n 24.018 * [backup-simplify]: Simplify 1 into 1 24.018 * [taylor]: Taking taylor expansion of k in n 24.018 * [backup-simplify]: Simplify k into k 24.018 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 24.018 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 24.018 * [taylor]: Taking taylor expansion of 2 in n 24.018 * [backup-simplify]: Simplify 2 into 2 24.018 * [taylor]: Taking taylor expansion of (* n PI) in n 24.018 * [taylor]: Taking taylor expansion of n in n 24.018 * [backup-simplify]: Simplify 0 into 0 24.018 * [backup-simplify]: Simplify 1 into 1 24.018 * [taylor]: Taking taylor expansion of PI in n 24.018 * [backup-simplify]: Simplify PI into PI 24.018 * [backup-simplify]: Simplify (* 0 PI) into 0 24.018 * [backup-simplify]: Simplify (* 2 0) into 0 24.019 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 24.020 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 24.021 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 24.021 * [backup-simplify]: Simplify (- k) into (- k) 24.021 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 24.021 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 24.021 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 24.022 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 24.023 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 24.023 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 24.023 * [taylor]: Taking taylor expansion of (/ 1 k) in n 24.023 * [taylor]: Taking taylor expansion of k in n 24.023 * [backup-simplify]: Simplify k into k 24.023 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 24.023 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 24.023 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 24.023 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 24.023 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 24.023 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 24.023 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 24.023 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 24.023 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 24.023 * [taylor]: Taking taylor expansion of 1/2 in k 24.023 * [backup-simplify]: Simplify 1/2 into 1/2 24.023 * [taylor]: Taking taylor expansion of (- 1 k) in k 24.023 * [taylor]: Taking taylor expansion of 1 in k 24.023 * [backup-simplify]: Simplify 1 into 1 24.023 * [taylor]: Taking taylor expansion of k in k 24.023 * [backup-simplify]: Simplify 0 into 0 24.023 * [backup-simplify]: Simplify 1 into 1 24.023 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 24.023 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 24.023 * [taylor]: Taking taylor expansion of 2 in k 24.023 * [backup-simplify]: Simplify 2 into 2 24.023 * [taylor]: Taking taylor expansion of (* n PI) in k 24.023 * [taylor]: Taking taylor expansion of n in k 24.023 * [backup-simplify]: Simplify n into n 24.023 * [taylor]: Taking taylor expansion of PI in k 24.023 * [backup-simplify]: Simplify PI into PI 24.023 * [backup-simplify]: Simplify (* n PI) into (* n PI) 24.023 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 24.023 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 24.024 * [backup-simplify]: Simplify (- 0) into 0 24.024 * [backup-simplify]: Simplify (+ 1 0) into 1 24.024 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 24.024 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 24.024 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 24.024 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 24.024 * [taylor]: Taking taylor expansion of (/ 1 k) in k 24.024 * [taylor]: Taking taylor expansion of k in k 24.024 * [backup-simplify]: Simplify 0 into 0 24.024 * [backup-simplify]: Simplify 1 into 1 24.025 * [backup-simplify]: Simplify (/ 1 1) into 1 24.026 * [backup-simplify]: Simplify (sqrt 0) into 0 24.027 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 24.027 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 24.027 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 24.027 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 24.027 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 24.028 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 24.028 * [taylor]: Taking taylor expansion of 1/2 in k 24.028 * [backup-simplify]: Simplify 1/2 into 1/2 24.028 * [taylor]: Taking taylor expansion of (- 1 k) in k 24.028 * [taylor]: Taking taylor expansion of 1 in k 24.028 * [backup-simplify]: Simplify 1 into 1 24.028 * [taylor]: Taking taylor expansion of k in k 24.028 * [backup-simplify]: Simplify 0 into 0 24.028 * [backup-simplify]: Simplify 1 into 1 24.028 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 24.028 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 24.028 * [taylor]: Taking taylor expansion of 2 in k 24.028 * [backup-simplify]: Simplify 2 into 2 24.028 * [taylor]: Taking taylor expansion of (* n PI) in k 24.028 * [taylor]: Taking taylor expansion of n in k 24.028 * [backup-simplify]: Simplify n into n 24.028 * [taylor]: Taking taylor expansion of PI in k 24.028 * [backup-simplify]: Simplify PI into PI 24.028 * [backup-simplify]: Simplify (* n PI) into (* n PI) 24.028 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 24.028 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 24.028 * [backup-simplify]: Simplify (- 0) into 0 24.028 * [backup-simplify]: Simplify (+ 1 0) into 1 24.029 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 24.029 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 24.029 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 24.029 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 24.029 * [taylor]: Taking taylor expansion of (/ 1 k) in k 24.029 * [taylor]: Taking taylor expansion of k in k 24.029 * [backup-simplify]: Simplify 0 into 0 24.029 * [backup-simplify]: Simplify 1 into 1 24.029 * [backup-simplify]: Simplify (/ 1 1) into 1 24.029 * [backup-simplify]: Simplify (sqrt 0) into 0 24.030 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 24.030 * [backup-simplify]: Simplify (* (pow (* 2 (* n PI)) 1/2) 0) into 0 24.030 * [taylor]: Taking taylor expansion of 0 in n 24.030 * [backup-simplify]: Simplify 0 into 0 24.030 * [backup-simplify]: Simplify 0 into 0 24.031 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 24.031 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 24.031 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 24.032 * [backup-simplify]: Simplify (- 1) into -1 24.032 * [backup-simplify]: Simplify (+ 0 -1) into -1 24.032 * [backup-simplify]: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2 24.033 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 24.033 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1)))) into (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) 24.033 * [backup-simplify]: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) 24.033 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 24.033 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 24.033 * [taylor]: Taking taylor expansion of +nan.0 in n 24.033 * [backup-simplify]: Simplify +nan.0 into +nan.0 24.033 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 24.033 * [taylor]: Taking taylor expansion of (sqrt 2) in n 24.033 * [taylor]: Taking taylor expansion of 2 in n 24.033 * [backup-simplify]: Simplify 2 into 2 24.034 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 24.034 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 24.034 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 24.034 * [taylor]: Taking taylor expansion of (* n PI) in n 24.034 * [taylor]: Taking taylor expansion of n in n 24.034 * [backup-simplify]: Simplify 0 into 0 24.034 * [backup-simplify]: Simplify 1 into 1 24.034 * [taylor]: Taking taylor expansion of PI in n 24.034 * [backup-simplify]: Simplify PI into PI 24.034 * [backup-simplify]: Simplify (* 0 PI) into 0 24.035 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 24.035 * [backup-simplify]: Simplify (sqrt 0) into 0 24.036 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 24.037 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 24.037 * [backup-simplify]: Simplify (* +nan.0 0) into 0 24.037 * [backup-simplify]: Simplify (- 0) into 0 24.037 * [backup-simplify]: Simplify 0 into 0 24.037 * [backup-simplify]: Simplify 0 into 0 24.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 24.039 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 24.040 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 24.040 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 24.041 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 1)))) 2) into 0 24.041 * [backup-simplify]: Simplify (- 0) into 0 24.042 * [backup-simplify]: Simplify (+ 0 0) into 0 24.042 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0 24.043 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 24.044 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) 24.044 * [backup-simplify]: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (+ (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) +nan.0) (* (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) 24.044 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) in n 24.044 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))) in n 24.044 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 24.044 * [taylor]: Taking taylor expansion of +nan.0 in n 24.045 * [backup-simplify]: Simplify +nan.0 into +nan.0 24.045 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 24.045 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 24.045 * [taylor]: Taking taylor expansion of (sqrt 2) in n 24.045 * [taylor]: Taking taylor expansion of 2 in n 24.045 * [backup-simplify]: Simplify 2 into 2 24.045 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 24.046 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 24.046 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 24.046 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 24.046 * [taylor]: Taking taylor expansion of 2 in n 24.046 * [backup-simplify]: Simplify 2 into 2 24.046 * [taylor]: Taking taylor expansion of (* n PI) in n 24.046 * [taylor]: Taking taylor expansion of n in n 24.046 * [backup-simplify]: Simplify 0 into 0 24.046 * [backup-simplify]: Simplify 1 into 1 24.046 * [taylor]: Taking taylor expansion of PI in n 24.046 * [backup-simplify]: Simplify PI into PI 24.046 * [backup-simplify]: Simplify (* 0 PI) into 0 24.047 * [backup-simplify]: Simplify (* 2 0) into 0 24.048 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 24.050 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 24.051 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 24.051 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 24.051 * [taylor]: Taking taylor expansion of (* n PI) in n 24.051 * [taylor]: Taking taylor expansion of n in n 24.051 * [backup-simplify]: Simplify 0 into 0 24.051 * [backup-simplify]: Simplify 1 into 1 24.051 * [taylor]: Taking taylor expansion of PI in n 24.051 * [backup-simplify]: Simplify PI into PI 24.051 * [backup-simplify]: Simplify (* 0 PI) into 0 24.053 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 24.053 * [backup-simplify]: Simplify (sqrt 0) into 0 24.054 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 24.054 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 24.054 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 24.054 * [taylor]: Taking taylor expansion of +nan.0 in n 24.054 * [backup-simplify]: Simplify +nan.0 into +nan.0 24.054 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 24.054 * [taylor]: Taking taylor expansion of (sqrt 2) in n 24.054 * [taylor]: Taking taylor expansion of 2 in n 24.054 * [backup-simplify]: Simplify 2 into 2 24.055 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 24.056 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 24.056 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 24.056 * [taylor]: Taking taylor expansion of (* n PI) in n 24.056 * [taylor]: Taking taylor expansion of n in n 24.056 * [backup-simplify]: Simplify 0 into 0 24.056 * [backup-simplify]: Simplify 1 into 1 24.056 * [taylor]: Taking taylor expansion of PI in n 24.056 * [backup-simplify]: Simplify PI into PI 24.056 * [backup-simplify]: Simplify (* 0 PI) into 0 24.058 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 24.058 * [backup-simplify]: Simplify (sqrt 0) into 0 24.059 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 24.060 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 24.061 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 24.062 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 24.062 * [backup-simplify]: Simplify (* +nan.0 0) into 0 24.063 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 24.063 * [backup-simplify]: Simplify (* +nan.0 0) into 0 24.063 * [backup-simplify]: Simplify (- 0) into 0 24.063 * [backup-simplify]: Simplify (+ 0 0) into 0 24.064 * [backup-simplify]: Simplify (- 0) into 0 24.064 * [backup-simplify]: Simplify 0 into 0 24.065 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 24.068 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 24.070 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 24.072 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 24.072 * [backup-simplify]: Simplify 0 into 0 24.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.075 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 24.075 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 24.076 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 24.078 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 (* n PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 (* n PI)) 1)))) 6) into 0 24.078 * [backup-simplify]: Simplify (- 0) into 0 24.078 * [backup-simplify]: Simplify (+ 0 0) into 0 24.079 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))) into 0 24.080 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0 24.082 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3))) 24.083 * [backup-simplify]: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (+ (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) +nan.0) (+ (* (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) +nan.0) (* (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3))) 0)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))))))) 24.083 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))))))) in n 24.083 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))))))) in n 24.083 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 24.083 * [taylor]: Taking taylor expansion of +nan.0 in n 24.083 * [backup-simplify]: Simplify +nan.0 into +nan.0 24.083 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 24.083 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 24.083 * [taylor]: Taking taylor expansion of (sqrt 2) in n 24.083 * [taylor]: Taking taylor expansion of 2 in n 24.083 * [backup-simplify]: Simplify 2 into 2 24.084 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 24.084 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 24.084 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 24.084 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 24.084 * [taylor]: Taking taylor expansion of 2 in n 24.084 * [backup-simplify]: Simplify 2 into 2 24.084 * [taylor]: Taking taylor expansion of (* n PI) in n 24.084 * [taylor]: Taking taylor expansion of n in n 24.085 * [backup-simplify]: Simplify 0 into 0 24.085 * [backup-simplify]: Simplify 1 into 1 24.085 * [taylor]: Taking taylor expansion of PI in n 24.085 * [backup-simplify]: Simplify PI into PI 24.085 * [backup-simplify]: Simplify (* 0 PI) into 0 24.085 * [backup-simplify]: Simplify (* 2 0) into 0 24.087 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 24.088 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 24.089 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 24.089 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 24.089 * [taylor]: Taking taylor expansion of (* n PI) in n 24.089 * [taylor]: Taking taylor expansion of n in n 24.090 * [backup-simplify]: Simplify 0 into 0 24.090 * [backup-simplify]: Simplify 1 into 1 24.090 * [taylor]: Taking taylor expansion of PI in n 24.090 * [backup-simplify]: Simplify PI into PI 24.090 * [backup-simplify]: Simplify (* 0 PI) into 0 24.091 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 24.092 * [backup-simplify]: Simplify (sqrt 0) into 0 24.093 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 24.093 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))))) in n 24.093 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))))) in n 24.093 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 24.093 * [taylor]: Taking taylor expansion of +nan.0 in n 24.093 * [backup-simplify]: Simplify +nan.0 into +nan.0 24.093 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 24.093 * [taylor]: Taking taylor expansion of (sqrt 2) in n 24.093 * [taylor]: Taking taylor expansion of 2 in n 24.093 * [backup-simplify]: Simplify 2 into 2 24.094 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 24.094 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 24.094 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 24.094 * [taylor]: Taking taylor expansion of (* n PI) in n 24.094 * [taylor]: Taking taylor expansion of n in n 24.094 * [backup-simplify]: Simplify 0 into 0 24.094 * [backup-simplify]: Simplify 1 into 1 24.094 * [taylor]: Taking taylor expansion of PI in n 24.094 * [backup-simplify]: Simplify PI into PI 24.095 * [backup-simplify]: Simplify (* 0 PI) into 0 24.096 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 24.097 * [backup-simplify]: Simplify (sqrt 0) into 0 24.098 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 24.098 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))) in n 24.098 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n 24.098 * [taylor]: Taking taylor expansion of +nan.0 in n 24.098 * [backup-simplify]: Simplify +nan.0 into +nan.0 24.098 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n 24.098 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n 24.098 * [taylor]: Taking taylor expansion of (sqrt 2) in n 24.098 * [taylor]: Taking taylor expansion of 2 in n 24.098 * [backup-simplify]: Simplify 2 into 2 24.099 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 24.099 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 24.099 * [taylor]: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n 24.099 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 24.099 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 24.099 * [taylor]: Taking taylor expansion of 2 in n 24.099 * [backup-simplify]: Simplify 2 into 2 24.099 * [taylor]: Taking taylor expansion of (* n PI) in n 24.099 * [taylor]: Taking taylor expansion of n in n 24.100 * [backup-simplify]: Simplify 0 into 0 24.100 * [backup-simplify]: Simplify 1 into 1 24.100 * [taylor]: Taking taylor expansion of PI in n 24.100 * [backup-simplify]: Simplify PI into PI 24.100 * [backup-simplify]: Simplify (* 0 PI) into 0 24.100 * [backup-simplify]: Simplify (* 2 0) into 0 24.102 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 24.103 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 24.104 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 24.105 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 24.105 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 24.105 * [taylor]: Taking taylor expansion of (* n PI) in n 24.105 * [taylor]: Taking taylor expansion of n in n 24.105 * [backup-simplify]: Simplify 0 into 0 24.105 * [backup-simplify]: Simplify 1 into 1 24.105 * [taylor]: Taking taylor expansion of PI in n 24.105 * [backup-simplify]: Simplify PI into PI 24.105 * [backup-simplify]: Simplify (* 0 PI) into 0 24.106 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 24.106 * [backup-simplify]: Simplify (sqrt 0) into 0 24.107 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 24.108 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 24.109 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 24.109 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 24.110 * [backup-simplify]: Simplify (* +nan.0 0) into 0 24.110 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 24.110 * [backup-simplify]: Simplify (* +nan.0 0) into 0 24.111 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 24.112 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 24.113 * [backup-simplify]: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2) 24.114 * [backup-simplify]: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 24.115 * [backup-simplify]: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0 24.116 * [backup-simplify]: Simplify (* +nan.0 0) into 0 24.116 * [backup-simplify]: Simplify (- 0) into 0 24.116 * [backup-simplify]: Simplify (+ 0 0) into 0 24.116 * [backup-simplify]: Simplify (- 0) into 0 24.116 * [backup-simplify]: Simplify (+ 0 0) into 0 24.117 * [backup-simplify]: Simplify (- 0) into 0 24.117 * [backup-simplify]: Simplify 0 into 0 24.117 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 24.118 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 24.119 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 24.120 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 24.121 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 24.122 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) (* +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 24.127 * [backup-simplify]: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 24.129 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 24.133 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 24.136 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 24.142 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) (- (* +nan.0 (* (sqrt 2) PI)))) into (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))))) 24.147 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) 24.151 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) 24.151 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 24.154 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 24.154 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 24.157 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 24.161 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 24.164 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 24.166 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 24.174 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) (* n k)) (* (- (* +nan.0 (* (sqrt 2) PI))) (* n 1)))) into (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))) 24.174 * [backup-simplify]: Simplify (* (pow (/ 1 k) -1/2) (pow (* (* 2 PI) (/ 1 n)) (/ (- 1 (/ 1 k)) 2))) into (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) 24.174 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (k n) around 0 24.174 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 24.174 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 24.174 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 24.174 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 24.174 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 24.174 * [taylor]: Taking taylor expansion of 1/2 in n 24.174 * [backup-simplify]: Simplify 1/2 into 1/2 24.174 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 24.174 * [taylor]: Taking taylor expansion of 1 in n 24.174 * [backup-simplify]: Simplify 1 into 1 24.174 * [taylor]: Taking taylor expansion of (/ 1 k) in n 24.174 * [taylor]: Taking taylor expansion of k in n 24.174 * [backup-simplify]: Simplify k into k 24.174 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 24.174 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 24.174 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 24.174 * [taylor]: Taking taylor expansion of 2 in n 24.174 * [backup-simplify]: Simplify 2 into 2 24.174 * [taylor]: Taking taylor expansion of (/ PI n) in n 24.174 * [taylor]: Taking taylor expansion of PI in n 24.174 * [backup-simplify]: Simplify PI into PI 24.174 * [taylor]: Taking taylor expansion of n in n 24.175 * [backup-simplify]: Simplify 0 into 0 24.175 * [backup-simplify]: Simplify 1 into 1 24.175 * [backup-simplify]: Simplify (/ PI 1) into PI 24.175 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 24.176 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 24.176 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 24.176 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 24.176 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 24.177 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 24.177 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 24.178 * [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))))) 24.178 * [taylor]: Taking taylor expansion of (sqrt k) in n 24.178 * [taylor]: Taking taylor expansion of k in n 24.178 * [backup-simplify]: Simplify k into k 24.178 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 24.178 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 24.178 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 24.178 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 24.178 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 24.178 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 24.178 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 24.178 * [taylor]: Taking taylor expansion of 1/2 in k 24.178 * [backup-simplify]: Simplify 1/2 into 1/2 24.178 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 24.178 * [taylor]: Taking taylor expansion of 1 in k 24.178 * [backup-simplify]: Simplify 1 into 1 24.178 * [taylor]: Taking taylor expansion of (/ 1 k) in k 24.178 * [taylor]: Taking taylor expansion of k in k 24.178 * [backup-simplify]: Simplify 0 into 0 24.178 * [backup-simplify]: Simplify 1 into 1 24.179 * [backup-simplify]: Simplify (/ 1 1) into 1 24.179 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 24.179 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 24.179 * [taylor]: Taking taylor expansion of 2 in k 24.179 * [backup-simplify]: Simplify 2 into 2 24.179 * [taylor]: Taking taylor expansion of (/ PI n) in k 24.179 * [taylor]: Taking taylor expansion of PI in k 24.179 * [backup-simplify]: Simplify PI into PI 24.179 * [taylor]: Taking taylor expansion of n in k 24.179 * [backup-simplify]: Simplify n into n 24.179 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 24.179 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 24.179 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 24.179 * [backup-simplify]: Simplify (- 1) into -1 24.179 * [backup-simplify]: Simplify (+ 0 -1) into -1 24.180 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 24.180 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 24.180 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 24.180 * [taylor]: Taking taylor expansion of (sqrt k) in k 24.180 * [taylor]: Taking taylor expansion of k in k 24.180 * [backup-simplify]: Simplify 0 into 0 24.180 * [backup-simplify]: Simplify 1 into 1 24.180 * [backup-simplify]: Simplify (sqrt 0) into 0 24.181 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 24.181 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 24.181 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 24.181 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 24.181 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 24.181 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 24.181 * [taylor]: Taking taylor expansion of 1/2 in k 24.181 * [backup-simplify]: Simplify 1/2 into 1/2 24.181 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 24.181 * [taylor]: Taking taylor expansion of 1 in k 24.181 * [backup-simplify]: Simplify 1 into 1 24.181 * [taylor]: Taking taylor expansion of (/ 1 k) in k 24.181 * [taylor]: Taking taylor expansion of k in k 24.181 * [backup-simplify]: Simplify 0 into 0 24.181 * [backup-simplify]: Simplify 1 into 1 24.182 * [backup-simplify]: Simplify (/ 1 1) into 1 24.182 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 24.182 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 24.182 * [taylor]: Taking taylor expansion of 2 in k 24.182 * [backup-simplify]: Simplify 2 into 2 24.182 * [taylor]: Taking taylor expansion of (/ PI n) in k 24.182 * [taylor]: Taking taylor expansion of PI in k 24.182 * [backup-simplify]: Simplify PI into PI 24.182 * [taylor]: Taking taylor expansion of n in k 24.182 * [backup-simplify]: Simplify n into n 24.182 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 24.182 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 24.182 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 24.182 * [backup-simplify]: Simplify (- 1) into -1 24.182 * [backup-simplify]: Simplify (+ 0 -1) into -1 24.183 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 24.183 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 24.183 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 24.183 * [taylor]: Taking taylor expansion of (sqrt k) in k 24.183 * [taylor]: Taking taylor expansion of k in k 24.183 * [backup-simplify]: Simplify 0 into 0 24.183 * [backup-simplify]: Simplify 1 into 1 24.183 * [backup-simplify]: Simplify (sqrt 0) into 0 24.184 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 24.184 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 0) into 0 24.184 * [taylor]: Taking taylor expansion of 0 in n 24.184 * [backup-simplify]: Simplify 0 into 0 24.184 * [backup-simplify]: Simplify 0 into 0 24.184 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) 24.184 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 24.184 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 24.185 * [taylor]: Taking taylor expansion of +nan.0 in n 24.185 * [backup-simplify]: Simplify +nan.0 into +nan.0 24.185 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 24.185 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 24.185 * [taylor]: Taking taylor expansion of 1/2 in n 24.185 * [backup-simplify]: Simplify 1/2 into 1/2 24.185 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 24.185 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 24.185 * [taylor]: Taking taylor expansion of 1 in n 24.185 * [backup-simplify]: Simplify 1 into 1 24.185 * [taylor]: Taking taylor expansion of (/ 1 k) in n 24.185 * [taylor]: Taking taylor expansion of k in n 24.185 * [backup-simplify]: Simplify k into k 24.185 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 24.185 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 24.185 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 24.185 * [taylor]: Taking taylor expansion of 2 in n 24.185 * [backup-simplify]: Simplify 2 into 2 24.185 * [taylor]: Taking taylor expansion of (/ PI n) in n 24.185 * [taylor]: Taking taylor expansion of PI in n 24.185 * [backup-simplify]: Simplify PI into PI 24.185 * [taylor]: Taking taylor expansion of n in n 24.185 * [backup-simplify]: Simplify 0 into 0 24.185 * [backup-simplify]: Simplify 1 into 1 24.185 * [backup-simplify]: Simplify (/ PI 1) into PI 24.185 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 24.186 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 24.186 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 24.186 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 24.187 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 24.188 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 24.188 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 24.189 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 24.190 * [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)))))) 24.190 * [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))))))) 24.191 * [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))))))) 24.191 * [backup-simplify]: Simplify 0 into 0 24.193 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 24.193 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) 24.193 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 24.193 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 24.193 * [taylor]: Taking taylor expansion of +nan.0 in n 24.193 * [backup-simplify]: Simplify +nan.0 into +nan.0 24.193 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 24.193 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 24.193 * [taylor]: Taking taylor expansion of 1/2 in n 24.193 * [backup-simplify]: Simplify 1/2 into 1/2 24.193 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 24.193 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 24.193 * [taylor]: Taking taylor expansion of 1 in n 24.193 * [backup-simplify]: Simplify 1 into 1 24.193 * [taylor]: Taking taylor expansion of (/ 1 k) in n 24.193 * [taylor]: Taking taylor expansion of k in n 24.193 * [backup-simplify]: Simplify k into k 24.194 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 24.194 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 24.194 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 24.194 * [taylor]: Taking taylor expansion of 2 in n 24.194 * [backup-simplify]: Simplify 2 into 2 24.194 * [taylor]: Taking taylor expansion of (/ PI n) in n 24.194 * [taylor]: Taking taylor expansion of PI in n 24.194 * [backup-simplify]: Simplify PI into PI 24.194 * [taylor]: Taking taylor expansion of n in n 24.194 * [backup-simplify]: Simplify 0 into 0 24.194 * [backup-simplify]: Simplify 1 into 1 24.194 * [backup-simplify]: Simplify (/ PI 1) into PI 24.194 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 24.195 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 24.195 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 24.195 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 24.196 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 24.196 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 24.197 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 24.198 * [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))))) 24.198 * [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)))))) 24.199 * [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))))))) 24.200 * [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))))))) 24.201 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 24.202 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 24.203 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 24.204 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 24.204 * [backup-simplify]: Simplify (- 0) into 0 24.204 * [backup-simplify]: Simplify (+ 0 0) into 0 24.206 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 24.207 * [backup-simplify]: Simplify (+ (* (- 1 (/ 1 k)) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 24.208 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into 0 24.210 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 24.211 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into 0 24.214 * [backup-simplify]: Simplify (- 0) into 0 24.214 * [backup-simplify]: Simplify 0 into 0 24.214 * [backup-simplify]: Simplify 0 into 0 24.219 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 24.219 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) 24.219 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 24.219 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 24.220 * [taylor]: Taking taylor expansion of +nan.0 in n 24.220 * [backup-simplify]: Simplify +nan.0 into +nan.0 24.220 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 24.220 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 24.220 * [taylor]: Taking taylor expansion of 1/2 in n 24.220 * [backup-simplify]: Simplify 1/2 into 1/2 24.220 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 24.220 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 24.220 * [taylor]: Taking taylor expansion of 1 in n 24.220 * [backup-simplify]: Simplify 1 into 1 24.220 * [taylor]: Taking taylor expansion of (/ 1 k) in n 24.220 * [taylor]: Taking taylor expansion of k in n 24.220 * [backup-simplify]: Simplify k into k 24.220 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 24.220 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 24.220 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 24.220 * [taylor]: Taking taylor expansion of 2 in n 24.220 * [backup-simplify]: Simplify 2 into 2 24.220 * [taylor]: Taking taylor expansion of (/ PI n) in n 24.220 * [taylor]: Taking taylor expansion of PI in n 24.220 * [backup-simplify]: Simplify PI into PI 24.220 * [taylor]: Taking taylor expansion of n in n 24.220 * [backup-simplify]: Simplify 0 into 0 24.220 * [backup-simplify]: Simplify 1 into 1 24.220 * [backup-simplify]: Simplify (/ PI 1) into PI 24.220 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 24.221 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 24.221 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 24.221 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 24.222 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 24.223 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 24.223 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 24.224 * [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))))) 24.225 * [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)))))) 24.225 * [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))))))) 24.226 * [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))))))) 24.228 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3)))))))) 24.229 * [backup-simplify]: Simplify (* (pow (/ 1 (- k)) -1/2) (pow (* (* 2 PI) (/ 1 (- n))) (/ (- 1 (/ 1 (- k))) 2))) into (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) 24.229 * [approximate]: Taking taylor expansion of (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in (k n) around 0 24.229 * [taylor]: Taking taylor expansion of (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in n 24.229 * [taylor]: Taking taylor expansion of (sqrt (/ k -1)) in n 24.229 * [taylor]: Taking taylor expansion of (/ k -1) in n 24.229 * [taylor]: Taking taylor expansion of k in n 24.229 * [backup-simplify]: Simplify k into k 24.229 * [taylor]: Taking taylor expansion of -1 in n 24.229 * [backup-simplify]: Simplify -1 into -1 24.229 * [backup-simplify]: Simplify (/ k -1) into (* -1 k) 24.229 * [backup-simplify]: Simplify (sqrt (* -1 k)) into (sqrt (* -1 k)) 24.230 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 k) (/ 0 -1)))) into 0 24.230 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* -1 k)))) into 0 24.230 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 24.230 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 24.230 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 24.230 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 24.230 * [taylor]: Taking taylor expansion of 1/2 in n 24.230 * [backup-simplify]: Simplify 1/2 into 1/2 24.230 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 24.230 * [taylor]: Taking taylor expansion of (/ 1 k) in n 24.230 * [taylor]: Taking taylor expansion of k in n 24.230 * [backup-simplify]: Simplify k into k 24.230 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 24.230 * [taylor]: Taking taylor expansion of 1 in n 24.230 * [backup-simplify]: Simplify 1 into 1 24.230 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 24.230 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 24.230 * [taylor]: Taking taylor expansion of -2 in n 24.230 * [backup-simplify]: Simplify -2 into -2 24.230 * [taylor]: Taking taylor expansion of (/ PI n) in n 24.230 * [taylor]: Taking taylor expansion of PI in n 24.230 * [backup-simplify]: Simplify PI into PI 24.230 * [taylor]: Taking taylor expansion of n in n 24.230 * [backup-simplify]: Simplify 0 into 0 24.230 * [backup-simplify]: Simplify 1 into 1 24.230 * [backup-simplify]: Simplify (/ PI 1) into PI 24.231 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 24.231 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 24.231 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 24.231 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 24.232 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 24.233 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 24.233 * [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))))) 24.234 * [taylor]: Taking taylor expansion of (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in k 24.234 * [taylor]: Taking taylor expansion of (sqrt (/ k -1)) in k 24.234 * [taylor]: Taking taylor expansion of (/ k -1) in k 24.234 * [taylor]: Taking taylor expansion of k in k 24.234 * [backup-simplify]: Simplify 0 into 0 24.234 * [backup-simplify]: Simplify 1 into 1 24.234 * [taylor]: Taking taylor expansion of -1 in k 24.234 * [backup-simplify]: Simplify -1 into -1 24.234 * [backup-simplify]: Simplify (/ 1 -1) into -1 24.234 * [backup-simplify]: Simplify (sqrt 0) into 0 24.236 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 24.236 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 24.236 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 24.236 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 24.236 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 24.236 * [taylor]: Taking taylor expansion of 1/2 in k 24.236 * [backup-simplify]: Simplify 1/2 into 1/2 24.236 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 24.236 * [taylor]: Taking taylor expansion of (/ 1 k) in k 24.236 * [taylor]: Taking taylor expansion of k in k 24.236 * [backup-simplify]: Simplify 0 into 0 24.236 * [backup-simplify]: Simplify 1 into 1 24.236 * [backup-simplify]: Simplify (/ 1 1) into 1 24.236 * [taylor]: Taking taylor expansion of 1 in k 24.236 * [backup-simplify]: Simplify 1 into 1 24.236 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 24.237 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 24.237 * [taylor]: Taking taylor expansion of -2 in k 24.237 * [backup-simplify]: Simplify -2 into -2 24.237 * [taylor]: Taking taylor expansion of (/ PI n) in k 24.237 * [taylor]: Taking taylor expansion of PI in k 24.237 * [backup-simplify]: Simplify PI into PI 24.237 * [taylor]: Taking taylor expansion of n in k 24.237 * [backup-simplify]: Simplify n into n 24.237 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 24.237 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 24.237 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 24.237 * [backup-simplify]: Simplify (+ 1 0) into 1 24.238 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 24.238 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 24.238 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 24.238 * [taylor]: Taking taylor expansion of (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in k 24.238 * [taylor]: Taking taylor expansion of (sqrt (/ k -1)) in k 24.238 * [taylor]: Taking taylor expansion of (/ k -1) in k 24.238 * [taylor]: Taking taylor expansion of k in k 24.238 * [backup-simplify]: Simplify 0 into 0 24.238 * [backup-simplify]: Simplify 1 into 1 24.238 * [taylor]: Taking taylor expansion of -1 in k 24.238 * [backup-simplify]: Simplify -1 into -1 24.239 * [backup-simplify]: Simplify (/ 1 -1) into -1 24.239 * [backup-simplify]: Simplify (sqrt 0) into 0 24.240 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 24.240 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 24.240 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 24.240 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 24.240 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 24.240 * [taylor]: Taking taylor expansion of 1/2 in k 24.240 * [backup-simplify]: Simplify 1/2 into 1/2 24.240 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 24.240 * [taylor]: Taking taylor expansion of (/ 1 k) in k 24.240 * [taylor]: Taking taylor expansion of k in k 24.240 * [backup-simplify]: Simplify 0 into 0 24.241 * [backup-simplify]: Simplify 1 into 1 24.241 * [backup-simplify]: Simplify (/ 1 1) into 1 24.241 * [taylor]: Taking taylor expansion of 1 in k 24.241 * [backup-simplify]: Simplify 1 into 1 24.241 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 24.241 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 24.241 * [taylor]: Taking taylor expansion of -2 in k 24.241 * [backup-simplify]: Simplify -2 into -2 24.241 * [taylor]: Taking taylor expansion of (/ PI n) in k 24.241 * [taylor]: Taking taylor expansion of PI in k 24.241 * [backup-simplify]: Simplify PI into PI 24.241 * [taylor]: Taking taylor expansion of n in k 24.241 * [backup-simplify]: Simplify n into n 24.241 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 24.241 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 24.241 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 24.242 * [backup-simplify]: Simplify (+ 1 0) into 1 24.242 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 24.242 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 24.242 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 24.243 * [backup-simplify]: Simplify (* 0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) into 0 24.243 * [taylor]: Taking taylor expansion of 0 in n 24.243 * [backup-simplify]: Simplify 0 into 0 24.243 * [backup-simplify]: Simplify 0 into 0 24.243 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) into (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) 24.243 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n 24.243 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 24.244 * [taylor]: Taking taylor expansion of +nan.0 in n 24.244 * [backup-simplify]: Simplify +nan.0 into +nan.0 24.244 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 24.244 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 24.244 * [taylor]: Taking taylor expansion of 1/2 in n 24.244 * [backup-simplify]: Simplify 1/2 into 1/2 24.244 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 24.244 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 24.244 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 24.244 * [taylor]: Taking taylor expansion of -2 in n 24.244 * [backup-simplify]: Simplify -2 into -2 24.244 * [taylor]: Taking taylor expansion of (/ PI n) in n 24.244 * [taylor]: Taking taylor expansion of PI in n 24.244 * [backup-simplify]: Simplify PI into PI 24.244 * [taylor]: Taking taylor expansion of n in n 24.244 * [backup-simplify]: Simplify 0 into 0 24.244 * [backup-simplify]: Simplify 1 into 1 24.244 * [backup-simplify]: Simplify (/ PI 1) into PI 24.245 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 24.246 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 24.246 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 24.246 * [taylor]: Taking taylor expansion of (/ 1 k) in n 24.246 * [taylor]: Taking taylor expansion of k in n 24.246 * [backup-simplify]: Simplify k into k 24.246 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 24.246 * [taylor]: Taking taylor expansion of 1 in n 24.246 * [backup-simplify]: Simplify 1 into 1 24.247 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 24.247 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 24.248 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 24.249 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 24.250 * [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))))) 24.251 * [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)))))) 24.252 * [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))))))) 24.253 * [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))))))) 24.253 * [backup-simplify]: Simplify 0 into 0 24.254 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)))) into 0 24.257 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 24.258 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))) into (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) 24.258 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n 24.258 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 24.258 * [taylor]: Taking taylor expansion of +nan.0 in n 24.258 * [backup-simplify]: Simplify +nan.0 into +nan.0 24.258 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 24.258 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 24.258 * [taylor]: Taking taylor expansion of 1/2 in n 24.258 * [backup-simplify]: Simplify 1/2 into 1/2 24.258 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 24.258 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 24.258 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 24.258 * [taylor]: Taking taylor expansion of -2 in n 24.258 * [backup-simplify]: Simplify -2 into -2 24.258 * [taylor]: Taking taylor expansion of (/ PI n) in n 24.258 * [taylor]: Taking taylor expansion of PI in n 24.258 * [backup-simplify]: Simplify PI into PI 24.258 * [taylor]: Taking taylor expansion of n in n 24.258 * [backup-simplify]: Simplify 0 into 0 24.258 * [backup-simplify]: Simplify 1 into 1 24.259 * [backup-simplify]: Simplify (/ PI 1) into PI 24.259 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 24.260 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 24.260 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 24.260 * [taylor]: Taking taylor expansion of (/ 1 k) in n 24.260 * [taylor]: Taking taylor expansion of k in n 24.260 * [backup-simplify]: Simplify k into k 24.260 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 24.260 * [taylor]: Taking taylor expansion of 1 in n 24.260 * [backup-simplify]: Simplify 1 into 1 24.262 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 24.262 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 24.263 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 24.264 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 24.265 * [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))))) 24.266 * [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)))))) 24.267 * [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))))))) 24.268 * [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))))))) 24.270 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 24.270 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 24.270 * [backup-simplify]: Simplify (+ 0 0) into 0 24.271 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 24.272 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 24.273 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 24.274 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (/ 1 k) 1))) into 0 24.276 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into 0 24.277 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 24.279 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into 0 24.279 * [backup-simplify]: Simplify (- 0) into 0 24.279 * [backup-simplify]: Simplify 0 into 0 24.279 * [backup-simplify]: Simplify 0 into 0 24.280 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 24.284 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 24.284 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))))) into (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) 24.284 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n 24.284 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 24.284 * [taylor]: Taking taylor expansion of +nan.0 in n 24.285 * [backup-simplify]: Simplify +nan.0 into +nan.0 24.285 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 24.285 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 24.285 * [taylor]: Taking taylor expansion of 1/2 in n 24.285 * [backup-simplify]: Simplify 1/2 into 1/2 24.285 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 24.285 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 24.285 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 24.285 * [taylor]: Taking taylor expansion of -2 in n 24.285 * [backup-simplify]: Simplify -2 into -2 24.285 * [taylor]: Taking taylor expansion of (/ PI n) in n 24.285 * [taylor]: Taking taylor expansion of PI in n 24.285 * [backup-simplify]: Simplify PI into PI 24.285 * [taylor]: Taking taylor expansion of n in n 24.285 * [backup-simplify]: Simplify 0 into 0 24.285 * [backup-simplify]: Simplify 1 into 1 24.285 * [backup-simplify]: Simplify (/ PI 1) into PI 24.285 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 24.286 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 24.286 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 24.286 * [taylor]: Taking taylor expansion of (/ 1 k) in n 24.286 * [taylor]: Taking taylor expansion of k in n 24.286 * [backup-simplify]: Simplify k into k 24.286 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 24.286 * [taylor]: Taking taylor expansion of 1 in n 24.286 * [backup-simplify]: Simplify 1 into 1 24.287 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 24.287 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 24.288 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 24.288 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 24.289 * [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))))) 24.290 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) 24.290 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) 24.291 * [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))))))) 24.294 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 3)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k))))))) 24.294 * * * [progress]: simplifying candidates 24.294 * * * * [progress]: [ 1 / 112 ] simplifiying candidate # 24.294 * [simplify]: Simplifying (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)) 24.294 * * [simplify]: iters left: 6 (13 enodes) 24.298 * * [simplify]: iters left: 5 (54 enodes) 24.307 * * [simplify]: iters left: 4 (97 enodes) 24.329 * * [simplify]: iters left: 3 (246 enodes) 24.394 * * [simplify]: Extracting #0: cost 1 inf + 0 24.394 * * [simplify]: Extracting #1: cost 28 inf + 0 24.394 * * [simplify]: Extracting #2: cost 93 inf + 2 24.395 * * [simplify]: Extracting #3: cost 138 inf + 186 24.395 * * [simplify]: Extracting #4: cost 108 inf + 3370 24.399 * * [simplify]: Extracting #5: cost 33 inf + 22278 24.405 * * [simplify]: Extracting #6: cost 2 inf + 32881 24.414 * * [simplify]: Extracting #7: cost 0 inf + 33789 24.425 * [simplify]: Simplified to (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2) 24.425 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (exp (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2)))) 24.425 * * * * [progress]: [ 2 / 112 ] simplifiying candidate # 24.425 * [simplify]: Simplifying (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)) 24.426 * * [simplify]: iters left: 6 (12 enodes) 24.429 * * [simplify]: iters left: 5 (52 enodes) 24.437 * * [simplify]: iters left: 4 (90 enodes) 24.458 * * [simplify]: iters left: 3 (201 enodes) 24.520 * * [simplify]: iters left: 2 (496 enodes) 24.724 * * [simplify]: Extracting #0: cost 1 inf + 0 24.724 * * [simplify]: Extracting #1: cost 22 inf + 0 24.724 * * [simplify]: Extracting #2: cost 123 inf + 2 24.725 * * [simplify]: Extracting #3: cost 296 inf + 186 24.728 * * [simplify]: Extracting #4: cost 244 inf + 9812 24.739 * * [simplify]: Extracting #5: cost 93 inf + 50654 24.755 * * [simplify]: Extracting #6: cost 0 inf + 82473 24.784 * * [simplify]: Extracting #7: cost 0 inf + 82467 24.801 * [simplify]: Simplified to (/ (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)) 2) 24.801 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (exp (/ (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)) 2)))) 24.802 * * * * [progress]: [ 3 / 112 ] simplifiying candidate # 24.802 * [simplify]: Simplifying (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)) 24.802 * * [simplify]: iters left: 6 (11 enodes) 24.806 * * [simplify]: iters left: 5 (51 enodes) 24.816 * * [simplify]: iters left: 4 (97 enodes) 24.849 * * [simplify]: iters left: 3 (198 enodes) 24.928 * * [simplify]: iters left: 2 (492 enodes) 25.206 * * [simplify]: Extracting #0: cost 1 inf + 0 25.206 * * [simplify]: Extracting #1: cost 27 inf + 0 25.206 * * [simplify]: Extracting #2: cost 138 inf + 2 25.208 * * [simplify]: Extracting #3: cost 300 inf + 352 25.212 * * [simplify]: Extracting #4: cost 251 inf + 8938 25.231 * * [simplify]: Extracting #5: cost 48 inf + 62855 25.262 * * [simplify]: Extracting #6: cost 0 inf + 74672 25.296 * * [simplify]: Extracting #7: cost 0 inf + 74341 25.326 * [simplify]: Simplified to (/ (- (log (* (* 2 PI) n)) (* k (log (* (* 2 PI) n)))) 2) 25.326 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (exp (/ (- (log (* (* 2 PI) n)) (* k (log (* (* 2 PI) n)))) 2)))) 25.327 * * * * [progress]: [ 4 / 112 ] simplifiying candidate # 25.327 * * * * [progress]: [ 5 / 112 ] simplifiying candidate # 25.327 * [simplify]: Simplifying (* (* 2 PI) n) 25.327 * * [simplify]: iters left: 4 (5 enodes) 25.330 * * [simplify]: iters left: 3 (19 enodes) 25.336 * * [simplify]: iters left: 2 (27 enodes) 25.344 * * [simplify]: iters left: 1 (32 enodes) 25.351 * * [simplify]: Extracting #0: cost 1 inf + 0 25.351 * * [simplify]: Extracting #1: cost 8 inf + 0 25.351 * * [simplify]: Extracting #2: cost 7 inf + 45 25.352 * * [simplify]: Extracting #3: cost 0 inf + 421 25.352 * [simplify]: Simplified to (* (* 2 PI) n) 25.352 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2))))) 25.352 * * * * [progress]: [ 6 / 112 ] simplifiying candidate # 25.352 * [simplify]: Simplifying (* (* 2 PI) n) 25.352 * * [simplify]: iters left: 4 (5 enodes) 25.355 * * [simplify]: iters left: 3 (19 enodes) 25.361 * * [simplify]: iters left: 2 (27 enodes) 25.369 * * [simplify]: iters left: 1 (32 enodes) 25.376 * * [simplify]: Extracting #0: cost 1 inf + 0 25.377 * * [simplify]: Extracting #1: cost 8 inf + 0 25.377 * * [simplify]: Extracting #2: cost 7 inf + 45 25.377 * * [simplify]: Extracting #3: cost 0 inf + 421 25.377 * [simplify]: Simplified to (* (* 2 PI) n) 25.377 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2))))) 25.377 * * * * [progress]: [ 7 / 112 ] simplifiying candidate # 25.378 * [simplify]: Simplifying (* (* 2 PI) n) 25.378 * * [simplify]: iters left: 4 (5 enodes) 25.381 * * [simplify]: iters left: 3 (19 enodes) 25.386 * * [simplify]: iters left: 2 (27 enodes) 25.394 * * [simplify]: iters left: 1 (32 enodes) 25.402 * * [simplify]: Extracting #0: cost 1 inf + 0 25.402 * * [simplify]: Extracting #1: cost 8 inf + 0 25.402 * * [simplify]: Extracting #2: cost 7 inf + 45 25.403 * * [simplify]: Extracting #3: cost 0 inf + 421 25.403 * [simplify]: Simplified to (* (* 2 PI) n) 25.403 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2))))) 25.403 * * * * [progress]: [ 8 / 112 ] simplifiying candidate # 25.403 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ k 2)) 25.404 * * [simplify]: iters left: 5 (8 enodes) 25.407 * * [simplify]: iters left: 4 (31 enodes) 25.416 * * [simplify]: iters left: 3 (51 enodes) 25.425 * * [simplify]: iters left: 2 (85 enodes) 25.439 * * [simplify]: iters left: 1 (152 enodes) 25.480 * * [simplify]: Extracting #0: cost 1 inf + 0 25.480 * * [simplify]: Extracting #1: cost 13 inf + 0 25.480 * * [simplify]: Extracting #2: cost 60 inf + 1 25.481 * * [simplify]: Extracting #3: cost 76 inf + 51 25.482 * * [simplify]: Extracting #4: cost 44 inf + 2846 25.485 * * [simplify]: Extracting #5: cost 21 inf + 7590 25.490 * * [simplify]: Extracting #6: cost 1 inf + 20687 25.495 * * [simplify]: Extracting #7: cost 0 inf + 20539 25.501 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 25.501 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (/ (pow (* (* 2 PI) n) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))))) 25.501 * * * * [progress]: [ 9 / 112 ] simplifiying candidate # 25.501 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2)) 25.501 * * [simplify]: iters left: 5 (6 enodes) 25.505 * * [simplify]: iters left: 4 (26 enodes) 25.514 * * [simplify]: iters left: 3 (35 enodes) 25.523 * * [simplify]: Extracting #0: cost 1 inf + 0 25.523 * * [simplify]: Extracting #1: cost 3 inf + 0 25.523 * * [simplify]: Extracting #2: cost 8 inf + 0 25.524 * * [simplify]: Extracting #3: cost 11 inf + 2 25.524 * * [simplify]: Extracting #4: cost 8 inf + 87 25.524 * * [simplify]: Extracting #5: cost 2 inf + 500 25.524 * * [simplify]: Extracting #6: cost 0 inf + 746 25.525 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2)) 25.525 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))))) 25.525 * * * * [progress]: [ 10 / 112 ] simplifiying candidate # 25.525 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2)) 25.525 * * [simplify]: iters left: 5 (6 enodes) 25.530 * * [simplify]: iters left: 4 (26 enodes) 25.534 * * [simplify]: iters left: 3 (35 enodes) 25.539 * * [simplify]: Extracting #0: cost 1 inf + 0 25.539 * * [simplify]: Extracting #1: cost 3 inf + 0 25.539 * * [simplify]: Extracting #2: cost 8 inf + 0 25.539 * * [simplify]: Extracting #3: cost 11 inf + 2 25.540 * * [simplify]: Extracting #4: cost 8 inf + 87 25.540 * * [simplify]: Extracting #5: cost 2 inf + 460 25.540 * * [simplify]: Extracting #6: cost 0 inf + 666 25.540 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2)) 25.540 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))))) 25.540 * * * * [progress]: [ 11 / 112 ] simplifiying candidate # 25.540 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2)) 25.540 * * [simplify]: iters left: 5 (7 enodes) 25.543 * * [simplify]: iters left: 4 (25 enodes) 25.547 * * [simplify]: iters left: 3 (30 enodes) 25.551 * * [simplify]: Extracting #0: cost 1 inf + 0 25.551 * * [simplify]: Extracting #1: cost 4 inf + 0 25.551 * * [simplify]: Extracting #2: cost 8 inf + 0 25.551 * * [simplify]: Extracting #3: cost 10 inf + 82 25.551 * * [simplify]: Extracting #4: cost 7 inf + 206 25.551 * * [simplify]: Extracting #5: cost 2 inf + 575 25.552 * * [simplify]: Extracting #6: cost 1 inf + 818 25.552 * * [simplify]: Extracting #7: cost 0 inf + 1061 25.552 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2)) 25.552 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))))) 25.552 * * * * [progress]: [ 12 / 112 ] simplifiying candidate # 25.552 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2)) 25.552 * * [simplify]: iters left: 5 (7 enodes) 25.554 * * [simplify]: iters left: 4 (25 enodes) 25.559 * * [simplify]: iters left: 3 (30 enodes) 25.567 * * [simplify]: Extracting #0: cost 1 inf + 0 25.567 * * [simplify]: Extracting #1: cost 4 inf + 0 25.567 * * [simplify]: Extracting #2: cost 8 inf + 0 25.568 * * [simplify]: Extracting #3: cost 10 inf + 42 25.568 * * [simplify]: Extracting #4: cost 7 inf + 126 25.568 * * [simplify]: Extracting #5: cost 2 inf + 495 25.568 * * [simplify]: Extracting #6: cost 1 inf + 698 25.568 * * [simplify]: Extracting #7: cost 0 inf + 901 25.569 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2)) 25.569 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2))))) 25.569 * * * * [progress]: [ 13 / 112 ] simplifiying candidate # 25.569 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2) 25.569 * * [simplify]: iters left: 5 (6 enodes) 25.573 * * [simplify]: iters left: 4 (22 enodes) 25.580 * * [simplify]: iters left: 3 (27 enodes) 25.588 * * [simplify]: Extracting #0: cost 1 inf + 0 25.588 * * [simplify]: Extracting #1: cost 4 inf + 0 25.588 * * [simplify]: Extracting #2: cost 5 inf + 1 25.589 * * [simplify]: Extracting #3: cost 9 inf + 1 25.589 * * [simplify]: Extracting #4: cost 8 inf + 3 25.589 * * [simplify]: Extracting #5: cost 4 inf + 169 25.589 * * [simplify]: Extracting #6: cost 1 inf + 576 25.589 * * [simplify]: Extracting #7: cost 0 inf + 739 25.590 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 25.590 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2)))) 25.590 * * * * [progress]: [ 14 / 112 ] simplifiying candidate # 25.590 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2)) 25.590 * * [simplify]: iters left: 5 (7 enodes) 25.595 * * [simplify]: iters left: 4 (25 enodes) 25.603 * * [simplify]: iters left: 3 (30 enodes) 25.612 * * [simplify]: Extracting #0: cost 1 inf + 0 25.612 * * [simplify]: Extracting #1: cost 4 inf + 0 25.612 * * [simplify]: Extracting #2: cost 8 inf + 0 25.612 * * [simplify]: Extracting #3: cost 10 inf + 82 25.612 * * [simplify]: Extracting #4: cost 7 inf + 206 25.613 * * [simplify]: Extracting #5: cost 2 inf + 495 25.613 * * [simplify]: Extracting #6: cost 1 inf + 698 25.613 * * [simplify]: Extracting #7: cost 0 inf + 901 25.614 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2)) 25.614 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2))))) 25.614 * * * * [progress]: [ 15 / 112 ] simplifiying candidate # 25.614 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2)) 25.614 * * [simplify]: iters left: 5 (7 enodes) 25.618 * * [simplify]: iters left: 4 (25 enodes) 25.625 * * [simplify]: iters left: 3 (30 enodes) 25.630 * * [simplify]: Extracting #0: cost 1 inf + 0 25.630 * * [simplify]: Extracting #1: cost 4 inf + 0 25.630 * * [simplify]: Extracting #2: cost 8 inf + 0 25.630 * * [simplify]: Extracting #3: cost 10 inf + 42 25.631 * * [simplify]: Extracting #4: cost 7 inf + 126 25.631 * * [simplify]: Extracting #5: cost 2 inf + 415 25.631 * * [simplify]: Extracting #6: cost 1 inf + 578 25.631 * * [simplify]: Extracting #7: cost 0 inf + 741 25.631 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2)) 25.631 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))))) 25.631 * * * * [progress]: [ 16 / 112 ] simplifiying candidate # 25.631 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2) 25.631 * * [simplify]: iters left: 5 (6 enodes) 25.633 * * [simplify]: iters left: 4 (22 enodes) 25.637 * * [simplify]: iters left: 3 (27 enodes) 25.643 * * [simplify]: Extracting #0: cost 1 inf + 0 25.643 * * [simplify]: Extracting #1: cost 4 inf + 0 25.643 * * [simplify]: Extracting #2: cost 5 inf + 1 25.643 * * [simplify]: Extracting #3: cost 9 inf + 1 25.643 * * [simplify]: Extracting #4: cost 8 inf + 3 25.643 * * [simplify]: Extracting #5: cost 4 inf + 169 25.643 * * [simplify]: Extracting #6: cost 1 inf + 456 25.643 * * [simplify]: Extracting #7: cost 0 inf + 579 25.643 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 25.643 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)))) 25.644 * * * * [progress]: [ 17 / 112 ] simplifiying candidate # 25.644 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 25.644 * * [simplify]: iters left: 4 (6 enodes) 25.646 * * [simplify]: iters left: 3 (25 enodes) 25.650 * * [simplify]: iters left: 2 (36 enodes) 25.660 * * [simplify]: iters left: 1 (40 enodes) 25.671 * * [simplify]: Extracting #0: cost 1 inf + 0 25.671 * * [simplify]: Extracting #1: cost 7 inf + 0 25.671 * * [simplify]: Extracting #2: cost 16 inf + 0 25.672 * * [simplify]: Extracting #3: cost 13 inf + 44 25.672 * * [simplify]: Extracting #4: cost 3 inf + 1103 25.672 * * [simplify]: Extracting #5: cost 0 inf + 1469 25.673 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 25.673 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))))) 25.673 * * * * [progress]: [ 18 / 112 ] simplifiying candidate # 25.673 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 25.673 * * [simplify]: iters left: 4 (6 enodes) 25.677 * * [simplify]: iters left: 3 (25 enodes) 25.686 * * [simplify]: iters left: 2 (36 enodes) 25.694 * * [simplify]: iters left: 1 (40 enodes) 25.700 * * [simplify]: Extracting #0: cost 1 inf + 0 25.700 * * [simplify]: Extracting #1: cost 7 inf + 0 25.700 * * [simplify]: Extracting #2: cost 16 inf + 0 25.701 * * [simplify]: Extracting #3: cost 13 inf + 44 25.701 * * [simplify]: Extracting #4: cost 3 inf + 823 25.701 * * [simplify]: Extracting #5: cost 0 inf + 1069 25.701 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 25.701 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))))) 25.701 * * * * [progress]: [ 19 / 112 ] simplifiying candidate # 25.701 * [simplify]: Simplifying (/ (- 1 k) 2) 25.702 * * [simplify]: iters left: 4 (5 enodes) 25.704 * * [simplify]: iters left: 3 (23 enodes) 25.707 * * [simplify]: iters left: 2 (32 enodes) 25.712 * * [simplify]: Extracting #0: cost 1 inf + 0 25.712 * * [simplify]: Extracting #1: cost 6 inf + 0 25.712 * * [simplify]: Extracting #2: cost 9 inf + 2 25.712 * * [simplify]: Extracting #3: cost 6 inf + 87 25.712 * * [simplify]: Extracting #4: cost 0 inf + 420 25.712 * [simplify]: Simplified to (/ (- 1 k) 2) 25.713 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ 1 1)) (/ (- 1 k) 2)))) 25.713 * * * * [progress]: [ 20 / 112 ] simplifiying candidate # 25.713 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 25.713 * * [simplify]: iters left: 5 (8 enodes) 25.716 * * [simplify]: iters left: 4 (31 enodes) 25.722 * * [simplify]: iters left: 3 (45 enodes) 25.735 * * [simplify]: iters left: 2 (51 enodes) 25.747 * * [simplify]: iters left: 1 (52 enodes) 25.757 * * [simplify]: Extracting #0: cost 1 inf + 0 25.757 * * [simplify]: Extracting #1: cost 8 inf + 0 25.757 * * [simplify]: Extracting #2: cost 18 inf + 0 25.757 * * [simplify]: Extracting #3: cost 19 inf + 2 25.757 * * [simplify]: Extracting #4: cost 9 inf + 977 25.757 * * [simplify]: Extracting #5: cost 2 inf + 1790 25.758 * * [simplify]: Extracting #6: cost 0 inf + 2195 25.758 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 25.758 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))))) 25.758 * * * * [progress]: [ 21 / 112 ] simplifiying candidate # 25.758 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 25.758 * * [simplify]: iters left: 5 (8 enodes) 25.761 * * [simplify]: iters left: 4 (31 enodes) 25.766 * * [simplify]: iters left: 3 (45 enodes) 25.773 * * [simplify]: iters left: 2 (51 enodes) 25.787 * * [simplify]: iters left: 1 (52 enodes) 25.798 * * [simplify]: Extracting #0: cost 1 inf + 0 25.798 * * [simplify]: Extracting #1: cost 8 inf + 0 25.799 * * [simplify]: Extracting #2: cost 18 inf + 0 25.799 * * [simplify]: Extracting #3: cost 19 inf + 2 25.799 * * [simplify]: Extracting #4: cost 9 inf + 697 25.799 * * [simplify]: Extracting #5: cost 2 inf + 1390 25.799 * * [simplify]: Extracting #6: cost 0 inf + 1715 25.800 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 25.800 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))))) 25.800 * * * * [progress]: [ 22 / 112 ] simplifiying candidate # 25.800 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 25.800 * * [simplify]: iters left: 5 (7 enodes) 25.803 * * [simplify]: iters left: 4 (29 enodes) 25.808 * * [simplify]: iters left: 3 (43 enodes) 25.814 * * [simplify]: iters left: 2 (47 enodes) 25.820 * * [simplify]: Extracting #0: cost 1 inf + 0 25.820 * * [simplify]: Extracting #1: cost 7 inf + 0 25.820 * * [simplify]: Extracting #2: cost 11 inf + 2 25.820 * * [simplify]: Extracting #3: cost 13 inf + 3 25.820 * * [simplify]: Extracting #4: cost 11 inf + 45 25.821 * * [simplify]: Extracting #5: cost 0 inf + 1066 25.821 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 25.821 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 25.821 * * * * [progress]: [ 23 / 112 ] simplifiying candidate # 25.821 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 25.821 * * [simplify]: iters left: 5 (7 enodes) 25.823 * * [simplify]: iters left: 4 (28 enodes) 25.832 * * [simplify]: iters left: 3 (39 enodes) 25.844 * * [simplify]: iters left: 2 (43 enodes) 25.856 * * [simplify]: Extracting #0: cost 1 inf + 0 25.856 * * [simplify]: Extracting #1: cost 7 inf + 0 25.856 * * [simplify]: Extracting #2: cost 16 inf + 0 25.857 * * [simplify]: Extracting #3: cost 15 inf + 164 25.857 * * [simplify]: Extracting #4: cost 13 inf + 287 25.857 * * [simplify]: Extracting #5: cost 5 inf + 1180 25.858 * * [simplify]: Extracting #6: cost 0 inf + 1951 25.858 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 25.858 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))))) 25.858 * * * * [progress]: [ 24 / 112 ] simplifiying candidate # 25.859 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 25.859 * * [simplify]: iters left: 5 (7 enodes) 25.863 * * [simplify]: iters left: 4 (28 enodes) 25.874 * * [simplify]: iters left: 3 (39 enodes) 25.886 * * [simplify]: iters left: 2 (43 enodes) 25.893 * * [simplify]: Extracting #0: cost 1 inf + 0 25.893 * * [simplify]: Extracting #1: cost 7 inf + 0 25.893 * * [simplify]: Extracting #2: cost 16 inf + 0 25.893 * * [simplify]: Extracting #3: cost 15 inf + 84 25.893 * * [simplify]: Extracting #4: cost 13 inf + 167 25.893 * * [simplify]: Extracting #5: cost 5 inf + 900 25.893 * * [simplify]: Extracting #6: cost 0 inf + 1551 25.894 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 25.894 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))))) 25.894 * * * * [progress]: [ 25 / 112 ] simplifiying candidate # 25.894 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 25.894 * * [simplify]: iters left: 5 (6 enodes) 25.897 * * [simplify]: iters left: 4 (26 enodes) 25.901 * * [simplify]: iters left: 3 (35 enodes) 25.906 * * [simplify]: Extracting #0: cost 1 inf + 0 25.906 * * [simplify]: Extracting #1: cost 6 inf + 0 25.906 * * [simplify]: Extracting #2: cost 9 inf + 2 25.906 * * [simplify]: Extracting #3: cost 11 inf + 3 25.907 * * [simplify]: Extracting #4: cost 10 inf + 4 25.907 * * [simplify]: Extracting #5: cost 3 inf + 535 25.907 * * [simplify]: Extracting #6: cost 0 inf + 822 25.907 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 25.907 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 25.907 * * * * [progress]: [ 26 / 112 ] simplifiying candidate # 25.908 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 25.908 * * [simplify]: iters left: 4 (6 enodes) 25.912 * * [simplify]: iters left: 3 (25 enodes) 25.920 * * [simplify]: iters left: 2 (36 enodes) 25.930 * * [simplify]: iters left: 1 (40 enodes) 25.941 * * [simplify]: Extracting #0: cost 1 inf + 0 25.941 * * [simplify]: Extracting #1: cost 7 inf + 0 25.942 * * [simplify]: Extracting #2: cost 16 inf + 0 25.942 * * [simplify]: Extracting #3: cost 13 inf + 44 25.942 * * [simplify]: Extracting #4: cost 3 inf + 1103 25.943 * * [simplify]: Extracting #5: cost 0 inf + 1469 25.943 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 25.943 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))))) 25.943 * * * * [progress]: [ 27 / 112 ] simplifiying candidate # 25.944 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 25.944 * * [simplify]: iters left: 4 (6 enodes) 25.947 * * [simplify]: iters left: 3 (25 enodes) 25.956 * * [simplify]: iters left: 2 (36 enodes) 25.967 * * [simplify]: iters left: 1 (40 enodes) 25.978 * * [simplify]: Extracting #0: cost 1 inf + 0 25.978 * * [simplify]: Extracting #1: cost 7 inf + 0 25.978 * * [simplify]: Extracting #2: cost 16 inf + 0 25.978 * * [simplify]: Extracting #3: cost 13 inf + 44 25.979 * * [simplify]: Extracting #4: cost 3 inf + 823 25.979 * * [simplify]: Extracting #5: cost 0 inf + 1069 25.980 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 25.980 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))))) 25.980 * * * * [progress]: [ 28 / 112 ] simplifiying candidate # 25.980 * [simplify]: Simplifying (/ (- 1 k) 2) 25.980 * * [simplify]: iters left: 4 (5 enodes) 25.984 * * [simplify]: iters left: 3 (23 enodes) 25.991 * * [simplify]: iters left: 2 (32 enodes) 26.000 * * [simplify]: Extracting #0: cost 1 inf + 0 26.000 * * [simplify]: Extracting #1: cost 6 inf + 0 26.000 * * [simplify]: Extracting #2: cost 9 inf + 2 26.001 * * [simplify]: Extracting #3: cost 6 inf + 87 26.001 * * [simplify]: Extracting #4: cost 0 inf + 420 26.001 * [simplify]: Simplified to (/ (- 1 k) 2) 26.001 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ 1 1)) (/ (- 1 k) 2)))) 26.001 * * * * [progress]: [ 29 / 112 ] simplifiying candidate # 26.001 * [simplify]: Simplifying (/ (- 1 k) 2) 26.001 * * [simplify]: iters left: 4 (5 enodes) 26.005 * * [simplify]: iters left: 3 (23 enodes) 26.009 * * [simplify]: iters left: 2 (32 enodes) 26.014 * * [simplify]: Extracting #0: cost 1 inf + 0 26.014 * * [simplify]: Extracting #1: cost 6 inf + 0 26.014 * * [simplify]: Extracting #2: cost 9 inf + 2 26.014 * * [simplify]: Extracting #3: cost 6 inf + 87 26.014 * * [simplify]: Extracting #4: cost 0 inf + 420 26.014 * [simplify]: Simplified to (/ (- 1 k) 2) 26.014 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2)))) 26.014 * * * * [progress]: [ 30 / 112 ] simplifiying candidate # 26.014 * [simplify]: Simplifying (/ 1 2) 26.014 * * [simplify]: iters left: 2 (3 enodes) 26.016 * * [simplify]: iters left: 1 (12 enodes) 26.018 * * [simplify]: Extracting #0: cost 1 inf + 0 26.018 * * [simplify]: Extracting #1: cost 0 inf + 1 26.018 * [simplify]: Simplified to 1/2 26.018 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (- 1 k)) 1/2))) 26.018 * * * * [progress]: [ 31 / 112 ] simplifiying candidate # 26.018 * [simplify]: Simplifying (pow (* 2 PI) (/ (- 1 k) 2)) 26.019 * * [simplify]: iters left: 5 (8 enodes) 26.021 * * [simplify]: iters left: 4 (36 enodes) 26.027 * * [simplify]: iters left: 3 (57 enodes) 26.040 * * [simplify]: iters left: 2 (90 enodes) 26.065 * * [simplify]: iters left: 1 (176 enodes) 26.102 * * [simplify]: Extracting #0: cost 1 inf + 0 26.102 * * [simplify]: Extracting #1: cost 13 inf + 0 26.103 * * [simplify]: Extracting #2: cost 55 inf + 1 26.103 * * [simplify]: Extracting #3: cost 86 inf + 6 26.103 * * [simplify]: Extracting #4: cost 68 inf + 2553 26.105 * * [simplify]: Extracting #5: cost 24 inf + 10048 26.109 * * [simplify]: Extracting #6: cost 3 inf + 21580 26.116 * * [simplify]: Extracting #7: cost 0 inf + 23439 26.122 * [simplify]: Simplified to (pow (* 2 PI) (/ (- 1 k) 2)) 26.123 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))))) 26.123 * * * * [progress]: [ 32 / 112 ] simplifiying candidate # 26.123 * * * * [progress]: [ 33 / 112 ] simplifiying candidate # 26.123 * * * * [progress]: [ 34 / 112 ] simplifiying candidate # 26.123 * * * * [progress]: [ 35 / 112 ] simplifiying candidate # 26.123 * * * * [progress]: [ 36 / 112 ] simplifiying candidate # 26.123 * * * * [progress]: [ 37 / 112 ] simplifiying candidate # 26.123 * * * * [progress]: [ 38 / 112 ] simplifiying candidate # 26.123 * * * * [progress]: [ 39 / 112 ] simplifiying candidate # 26.123 * * * * [progress]: [ 40 / 112 ] simplifiying candidate #real (real->posit16 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))> 26.123 * * * * [progress]: [ 41 / 112 ] simplifiying candidate # 26.124 * [simplify]: Simplifying (* (* 2 PI) n) 26.124 * * [simplify]: iters left: 4 (5 enodes) 26.127 * * [simplify]: iters left: 3 (19 enodes) 26.130 * * [simplify]: iters left: 2 (27 enodes) 26.134 * * [simplify]: iters left: 1 (32 enodes) 26.137 * * [simplify]: Extracting #0: cost 1 inf + 0 26.138 * * [simplify]: Extracting #1: cost 8 inf + 0 26.138 * * [simplify]: Extracting #2: cost 7 inf + 45 26.138 * * [simplify]: Extracting #3: cost 0 inf + 421 26.138 * [simplify]: Simplified to (* (* 2 PI) n) 26.138 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2)))) 26.138 * * * * [progress]: [ 42 / 112 ] simplifiying candidate # 26.138 * [simplify]: Simplifying (* (* 2 PI) n) 26.138 * * [simplify]: iters left: 4 (5 enodes) 26.140 * * [simplify]: iters left: 3 (19 enodes) 26.142 * * [simplify]: iters left: 2 (27 enodes) 26.146 * * [simplify]: iters left: 1 (32 enodes) 26.150 * * [simplify]: Extracting #0: cost 1 inf + 0 26.150 * * [simplify]: Extracting #1: cost 8 inf + 0 26.150 * * [simplify]: Extracting #2: cost 7 inf + 45 26.150 * * [simplify]: Extracting #3: cost 0 inf + 421 26.150 * [simplify]: Simplified to (* (* 2 PI) n) 26.150 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2)))) 26.150 * * * * [progress]: [ 43 / 112 ] simplifiying candidate # 26.150 * * * * [progress]: [ 44 / 112 ] simplifiying candidate # 26.151 * [simplify]: Simplifying (+ (+ (log 2) (log PI)) (log n)) 26.151 * * [simplify]: iters left: 5 (8 enodes) 26.153 * * [simplify]: iters left: 4 (28 enodes) 26.157 * * [simplify]: iters left: 3 (36 enodes) 26.165 * * [simplify]: iters left: 2 (42 enodes) 26.174 * * [simplify]: Extracting #0: cost 1 inf + 0 26.174 * * [simplify]: Extracting #1: cost 8 inf + 0 26.174 * * [simplify]: Extracting #2: cost 17 inf + 0 26.174 * * [simplify]: Extracting #3: cost 13 inf + 74 26.174 * * [simplify]: Extracting #4: cost 6 inf + 1015 26.175 * * [simplify]: Extracting #5: cost 0 inf + 2107 26.175 * [simplify]: Simplified to (+ (log 2) (+ (log PI) (log n))) 26.175 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow k -1/2) (pow (exp (+ (log 2) (+ (log PI) (log n)))) (/ (- 1 k) 2)))) 26.175 * * * * [progress]: [ 45 / 112 ] simplifiying candidate # 26.175 * [simplify]: Simplifying (+ (log (* 2 PI)) (log n)) 26.175 * * [simplify]: iters left: 5 (7 enodes) 26.177 * * [simplify]: iters left: 4 (26 enodes) 26.181 * * [simplify]: iters left: 3 (35 enodes) 26.188 * * [simplify]: iters left: 2 (44 enodes) 26.194 * * [simplify]: Extracting #0: cost 1 inf + 0 26.194 * * [simplify]: Extracting #1: cost 8 inf + 0 26.194 * * [simplify]: Extracting #2: cost 18 inf + 0 26.194 * * [simplify]: Extracting #3: cost 15 inf + 74 26.194 * * [simplify]: Extracting #4: cost 6 inf + 918 26.194 * * [simplify]: Extracting #5: cost 0 inf + 1911 26.195 * [simplify]: Simplified to (+ (log (* 2 PI)) (log n)) 26.195 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow k -1/2) (pow (exp (+ (log (* 2 PI)) (log n))) (/ (- 1 k) 2)))) 26.195 * * * * [progress]: [ 46 / 112 ] simplifiying candidate # 26.195 * * * * [progress]: [ 47 / 112 ] simplifiying candidate # 26.195 * * * * [progress]: [ 48 / 112 ] simplifiying candidate # 26.195 * [simplify]: Simplifying (* (* (* (* 2 2) 2) (* (* PI PI) PI)) (* (* n n) n)) 26.195 * * [simplify]: iters left: 6 (11 enodes) 26.198 * * [simplify]: iters left: 5 (47 enodes) 26.209 * * [simplify]: iters left: 4 (115 enodes) 26.249 * * [simplify]: iters left: 3 (384 enodes) 26.503 * * [simplify]: Extracting #0: cost 1 inf + 0 26.503 * * [simplify]: Extracting #1: cost 102 inf + 0 26.505 * * [simplify]: Extracting #2: cost 263 inf + 1026 26.520 * * [simplify]: Extracting #3: cost 88 inf + 24284 26.529 * * [simplify]: Extracting #4: cost 2 inf + 40704 26.539 * * [simplify]: Extracting #5: cost 0 inf + 41008 26.555 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n)) 26.555 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow k -1/2) (pow (cbrt (* (* (* (* PI n) (* PI n)) 8) (* PI n))) (/ (- 1 k) 2)))) 26.555 * * * * [progress]: [ 49 / 112 ] simplifiying candidate # 26.556 * [simplify]: Simplifying (* (* (* (* 2 PI) (* 2 PI)) (* 2 PI)) (* (* n n) n)) 26.556 * * [simplify]: iters left: 6 (9 enodes) 26.559 * * [simplify]: iters left: 5 (45 enodes) 26.568 * * [simplify]: iters left: 4 (116 enodes) 26.625 * * [simplify]: iters left: 3 (371 enodes) 26.895 * * [simplify]: Extracting #0: cost 1 inf + 0 26.896 * * [simplify]: Extracting #1: cost 82 inf + 0 26.897 * * [simplify]: Extracting #2: cost 200 inf + 498 26.901 * * [simplify]: Extracting #3: cost 121 inf + 10421 26.918 * * [simplify]: Extracting #4: cost 5 inf + 33505 26.932 * * [simplify]: Extracting #5: cost 0 inf + 33849 26.941 * * [simplify]: Extracting #6: cost 0 inf + 33809 26.951 * [simplify]: Simplified to (* (* n PI) (* 8 (* (* n PI) (* n PI)))) 26.951 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow k -1/2) (pow (cbrt (* (* n PI) (* 8 (* (* n PI) (* n PI))))) (/ (- 1 k) 2)))) 26.951 * * * * [progress]: [ 50 / 112 ] simplifiying candidate # 26.951 * * * * [progress]: [ 51 / 112 ] simplifiying candidate # 26.952 * * * * [progress]: [ 52 / 112 ] simplifiying candidate # 26.952 * * * * [progress]: [ 53 / 112 ] simplifiying candidate # 26.952 * * * * [progress]: [ 54 / 112 ] simplifiying candidate # 26.952 * [simplify]: Simplifying (cbrt n) 26.952 * * [simplify]: iters left: 1 (2 enodes) 26.952 * * [simplify]: Extracting #0: cost 1 inf + 0 26.952 * * [simplify]: Extracting #1: cost 3 inf + 0 26.952 * * [simplify]: Extracting #2: cost 2 inf + 1 26.952 * * [simplify]: Extracting #3: cost 0 inf + 163 26.952 * [simplify]: Simplified to (cbrt n) 26.952 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow k -1/2) (pow (* (* (* 2 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (- 1 k) 2)))) 26.953 * * * * [progress]: [ 55 / 112 ] simplifiying candidate # 26.953 * [simplify]: Simplifying (sqrt n) 26.953 * * [simplify]: iters left: 1 (2 enodes) 26.953 * * [simplify]: Extracting #0: cost 1 inf + 0 26.953 * * [simplify]: Extracting #1: cost 3 inf + 0 26.953 * * [simplify]: Extracting #2: cost 2 inf + 1 26.953 * * [simplify]: Extracting #3: cost 0 inf + 83 26.953 * [simplify]: Simplified to (sqrt n) 26.953 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow k -1/2) (pow (* (* (* 2 PI) (sqrt n)) (sqrt n)) (/ (- 1 k) 2)))) 26.954 * * * * [progress]: [ 56 / 112 ] simplifiying candidate # 26.954 * * * * [progress]: [ 57 / 112 ] simplifiying candidate # 26.954 * * * * [progress]: [ 58 / 112 ] simplifiying candidate #real (real->posit16 (* (* 2 PI) n))) (/ (- 1 k) 2))))> 26.954 * * * * [progress]: [ 59 / 112 ] simplifiying candidate # 26.954 * * * * [progress]: [ 60 / 112 ] simplifiying candidate # 26.954 * * * * [progress]: [ 61 / 112 ] simplifiying candidate # 26.954 * [simplify]: Simplifying (+ (* (log k) -1/2) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2))) 26.954 * * [simplify]: iters left: 6 (17 enodes) 26.960 * * [simplify]: iters left: 5 (68 enodes) 26.983 * * [simplify]: iters left: 4 (111 enodes) 27.011 * * [simplify]: iters left: 3 (289 enodes) 27.107 * * [simplify]: Extracting #0: cost 1 inf + 0 27.107 * * [simplify]: Extracting #1: cost 24 inf + 0 27.107 * * [simplify]: Extracting #2: cost 76 inf + 0 27.107 * * [simplify]: Extracting #3: cost 136 inf + 74 27.108 * * [simplify]: Extracting #4: cost 153 inf + 809 27.111 * * [simplify]: Extracting #5: cost 76 inf + 18247 27.118 * * [simplify]: Extracting #6: cost 5 inf + 41211 27.126 * * [simplify]: Extracting #7: cost 0 inf + 43142 27.134 * * [simplify]: Extracting #8: cost 0 inf + 43140 27.148 * [simplify]: Simplified to (+ (/ (- (+ (log n) (+ (log 2) (log PI))) (* (+ (log n) (+ (log 2) (log PI))) k)) 2) (* -1/2 (log k))) 27.149 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (/ (- (+ (log n) (+ (log 2) (log PI))) (* (+ (log n) (+ (log 2) (log PI))) k)) 2) (* -1/2 (log k))))) 27.149 * * * * [progress]: [ 62 / 112 ] simplifiying candidate # 27.149 * [simplify]: Simplifying (+ (* (log k) -1/2) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))) 27.149 * * [simplify]: iters left: 6 (16 enodes) 27.158 * * [simplify]: iters left: 5 (66 enodes) 27.183 * * [simplify]: iters left: 4 (104 enodes) 27.220 * * [simplify]: iters left: 3 (231 enodes) 27.278 * * [simplify]: Extracting #0: cost 1 inf + 0 27.278 * * [simplify]: Extracting #1: cost 18 inf + 0 27.278 * * [simplify]: Extracting #2: cost 63 inf + 0 27.279 * * [simplify]: Extracting #3: cost 116 inf + 74 27.279 * * [simplify]: Extracting #4: cost 134 inf + 670 27.283 * * [simplify]: Extracting #5: cost 61 inf + 15167 27.295 * * [simplify]: Extracting #6: cost 2 inf + 32562 27.307 * * [simplify]: Extracting #7: cost 0 inf + 33277 27.321 * [simplify]: Simplified to (+ (/ (- (+ (log n) (log (* 2 PI))) (* k (+ (log n) (log (* 2 PI))))) 2) (* -1/2 (log k))) 27.321 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (/ (- (+ (log n) (log (* 2 PI))) (* k (+ (log n) (log (* 2 PI))))) 2) (* -1/2 (log k))))) 27.321 * * * * [progress]: [ 63 / 112 ] simplifiying candidate # 27.321 * [simplify]: Simplifying (+ (* (log k) -1/2) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 27.321 * * [simplify]: iters left: 6 (15 enodes) 27.329 * * [simplify]: iters left: 5 (65 enodes) 27.346 * * [simplify]: iters left: 4 (111 enodes) 27.366 * * [simplify]: iters left: 3 (219 enodes) 27.435 * * [simplify]: Extracting #0: cost 1 inf + 0 27.436 * * [simplify]: Extracting #1: cost 12 inf + 0 27.436 * * [simplify]: Extracting #2: cost 53 inf + 0 27.436 * * [simplify]: Extracting #3: cost 111 inf + 3 27.436 * * [simplify]: Extracting #4: cost 141 inf + 373 27.437 * * [simplify]: Extracting #5: cost 100 inf + 5100 27.443 * * [simplify]: Extracting #6: cost 25 inf + 21516 27.453 * * [simplify]: Extracting #7: cost 0 inf + 28578 27.464 * * [simplify]: Extracting #8: cost 0 inf + 28357 27.477 * [simplify]: Simplified to (+ (* -1/2 (log k)) (/ (- (log (* (* n PI) 2)) (* (log (* (* n PI) 2)) k)) 2)) 27.477 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* -1/2 (log k)) (/ (- (log (* (* n PI) 2)) (* (log (* (* n PI) 2)) k)) 2)))) 27.477 * * * * [progress]: [ 64 / 112 ] simplifiying candidate # 27.477 * [simplify]: Simplifying (+ (* (log k) -1/2) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 27.477 * * [simplify]: iters left: 6 (15 enodes) 27.484 * * [simplify]: iters left: 5 (65 enodes) 27.494 * * [simplify]: iters left: 4 (111 enodes) 27.519 * * [simplify]: iters left: 3 (219 enodes) 27.586 * * [simplify]: Extracting #0: cost 1 inf + 0 27.586 * * [simplify]: Extracting #1: cost 12 inf + 0 27.586 * * [simplify]: Extracting #2: cost 53 inf + 0 27.586 * * [simplify]: Extracting #3: cost 111 inf + 3 27.587 * * [simplify]: Extracting #4: cost 141 inf + 373 27.589 * * [simplify]: Extracting #5: cost 100 inf + 5100 27.596 * * [simplify]: Extracting #6: cost 25 inf + 21516 27.606 * * [simplify]: Extracting #7: cost 0 inf + 28578 27.616 * * [simplify]: Extracting #8: cost 0 inf + 28357 27.621 * [simplify]: Simplified to (+ (* -1/2 (log k)) (/ (- (log (* (* n PI) 2)) (* (log (* (* n PI) 2)) k)) 2)) 27.621 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* -1/2 (log k)) (/ (- (log (* (* n PI) 2)) (* (log (* (* n PI) 2)) k)) 2)))) 27.621 * * * * [progress]: [ 65 / 112 ] simplifiying candidate # 27.622 * [simplify]: Simplifying (+ (* (log k) -1/2) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 27.622 * * [simplify]: iters left: 6 (15 enodes) 27.626 * * [simplify]: iters left: 5 (64 enodes) 27.636 * * [simplify]: iters left: 4 (107 enodes) 27.658 * * [simplify]: iters left: 3 (213 enodes) 27.708 * * [simplify]: Extracting #0: cost 1 inf + 0 27.708 * * [simplify]: Extracting #1: cost 14 inf + 0 27.709 * * [simplify]: Extracting #2: cost 86 inf + 0 27.709 * * [simplify]: Extracting #3: cost 156 inf + 3 27.710 * * [simplify]: Extracting #4: cost 169 inf + 543 27.711 * * [simplify]: Extracting #5: cost 117 inf + 8890 27.715 * * [simplify]: Extracting #6: cost 31 inf + 26444 27.721 * * [simplify]: Extracting #7: cost 1 inf + 37162 27.731 * * [simplify]: Extracting #8: cost 0 inf + 37879 27.741 * [simplify]: Simplified to (+ (* -1/2 (log k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI))))) 27.741 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* -1/2 (log k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI))))))) 27.741 * * * * [progress]: [ 66 / 112 ] simplifiying candidate # 27.742 * [simplify]: Simplifying (+ (* (log k) -1/2) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2))) 27.742 * * [simplify]: iters left: 6 (17 enodes) 27.747 * * [simplify]: iters left: 5 (68 enodes) 27.757 * * [simplify]: iters left: 4 (111 enodes) 27.781 * * [simplify]: iters left: 3 (289 enodes) 27.866 * * [simplify]: Extracting #0: cost 1 inf + 0 27.866 * * [simplify]: Extracting #1: cost 24 inf + 0 27.867 * * [simplify]: Extracting #2: cost 76 inf + 0 27.867 * * [simplify]: Extracting #3: cost 136 inf + 74 27.868 * * [simplify]: Extracting #4: cost 153 inf + 809 27.872 * * [simplify]: Extracting #5: cost 76 inf + 18247 27.879 * * [simplify]: Extracting #6: cost 5 inf + 41211 27.887 * * [simplify]: Extracting #7: cost 0 inf + 43142 27.904 * * [simplify]: Extracting #8: cost 0 inf + 43140 27.916 * [simplify]: Simplified to (+ (/ (- (+ (log n) (+ (log 2) (log PI))) (* (+ (log n) (+ (log 2) (log PI))) k)) 2) (* -1/2 (log k))) 27.916 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (/ (- (+ (log n) (+ (log 2) (log PI))) (* (+ (log n) (+ (log 2) (log PI))) k)) 2) (* -1/2 (log k))))) 27.916 * * * * [progress]: [ 67 / 112 ] simplifiying candidate # 27.917 * [simplify]: Simplifying (+ (* (log k) -1/2) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))) 27.917 * * [simplify]: iters left: 6 (16 enodes) 27.921 * * [simplify]: iters left: 5 (66 enodes) 27.931 * * [simplify]: iters left: 4 (104 enodes) 27.958 * * [simplify]: iters left: 3 (231 enodes) 28.019 * * [simplify]: Extracting #0: cost 1 inf + 0 28.019 * * [simplify]: Extracting #1: cost 18 inf + 0 28.020 * * [simplify]: Extracting #2: cost 63 inf + 0 28.020 * * [simplify]: Extracting #3: cost 116 inf + 74 28.020 * * [simplify]: Extracting #4: cost 134 inf + 670 28.022 * * [simplify]: Extracting #5: cost 61 inf + 15167 28.029 * * [simplify]: Extracting #6: cost 2 inf + 32562 28.040 * * [simplify]: Extracting #7: cost 0 inf + 33277 28.048 * [simplify]: Simplified to (+ (/ (- (+ (log n) (log (* 2 PI))) (* k (+ (log n) (log (* 2 PI))))) 2) (* -1/2 (log k))) 28.049 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (/ (- (+ (log n) (log (* 2 PI))) (* k (+ (log n) (log (* 2 PI))))) 2) (* -1/2 (log k))))) 28.049 * * * * [progress]: [ 68 / 112 ] simplifiying candidate # 28.049 * [simplify]: Simplifying (+ (* (log k) -1/2) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 28.049 * * [simplify]: iters left: 6 (15 enodes) 28.053 * * [simplify]: iters left: 5 (65 enodes) 28.064 * * [simplify]: iters left: 4 (111 enodes) 28.091 * * [simplify]: iters left: 3 (219 enodes) 28.153 * * [simplify]: Extracting #0: cost 1 inf + 0 28.153 * * [simplify]: Extracting #1: cost 12 inf + 0 28.153 * * [simplify]: Extracting #2: cost 53 inf + 0 28.153 * * [simplify]: Extracting #3: cost 111 inf + 3 28.154 * * [simplify]: Extracting #4: cost 141 inf + 373 28.155 * * [simplify]: Extracting #5: cost 100 inf + 5100 28.161 * * [simplify]: Extracting #6: cost 25 inf + 21516 28.167 * * [simplify]: Extracting #7: cost 0 inf + 28578 28.173 * * [simplify]: Extracting #8: cost 0 inf + 28357 28.179 * [simplify]: Simplified to (+ (* -1/2 (log k)) (/ (- (log (* (* n PI) 2)) (* (log (* (* n PI) 2)) k)) 2)) 28.179 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* -1/2 (log k)) (/ (- (log (* (* n PI) 2)) (* (log (* (* n PI) 2)) k)) 2)))) 28.179 * * * * [progress]: [ 69 / 112 ] simplifiying candidate # 28.179 * [simplify]: Simplifying (+ (* (log k) -1/2) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 28.179 * * [simplify]: iters left: 6 (15 enodes) 28.188 * * [simplify]: iters left: 5 (65 enodes) 28.209 * * [simplify]: iters left: 4 (111 enodes) 28.246 * * [simplify]: iters left: 3 (219 enodes) 28.339 * * [simplify]: Extracting #0: cost 1 inf + 0 28.339 * * [simplify]: Extracting #1: cost 12 inf + 0 28.339 * * [simplify]: Extracting #2: cost 53 inf + 0 28.340 * * [simplify]: Extracting #3: cost 111 inf + 3 28.340 * * [simplify]: Extracting #4: cost 141 inf + 373 28.343 * * [simplify]: Extracting #5: cost 100 inf + 5100 28.350 * * [simplify]: Extracting #6: cost 25 inf + 21516 28.362 * * [simplify]: Extracting #7: cost 0 inf + 28578 28.374 * * [simplify]: Extracting #8: cost 0 inf + 28357 28.386 * [simplify]: Simplified to (+ (* -1/2 (log k)) (/ (- (log (* (* n PI) 2)) (* (log (* (* n PI) 2)) k)) 2)) 28.386 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* -1/2 (log k)) (/ (- (log (* (* n PI) 2)) (* (log (* (* n PI) 2)) k)) 2)))) 28.386 * * * * [progress]: [ 70 / 112 ] simplifiying candidate # 28.387 * [simplify]: Simplifying (+ (* (log k) -1/2) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 28.387 * * [simplify]: iters left: 6 (15 enodes) 28.396 * * [simplify]: iters left: 5 (64 enodes) 28.412 * * [simplify]: iters left: 4 (107 enodes) 28.430 * * [simplify]: iters left: 3 (213 enodes) 28.496 * * [simplify]: Extracting #0: cost 1 inf + 0 28.496 * * [simplify]: Extracting #1: cost 14 inf + 0 28.497 * * [simplify]: Extracting #2: cost 86 inf + 0 28.497 * * [simplify]: Extracting #3: cost 156 inf + 3 28.498 * * [simplify]: Extracting #4: cost 169 inf + 543 28.499 * * [simplify]: Extracting #5: cost 117 inf + 8890 28.506 * * [simplify]: Extracting #6: cost 31 inf + 26444 28.512 * * [simplify]: Extracting #7: cost 1 inf + 37162 28.519 * * [simplify]: Extracting #8: cost 0 inf + 37879 28.525 * [simplify]: Simplified to (+ (* -1/2 (log k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI))))) 28.525 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* -1/2 (log k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI))))))) 28.525 * * * * [progress]: [ 71 / 112 ] simplifiying candidate # 28.526 * [simplify]: Simplifying (+ (log (pow k -1/2)) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2))) 28.526 * * [simplify]: iters left: 6 (17 enodes) 28.531 * * [simplify]: iters left: 5 (73 enodes) 28.544 * * [simplify]: iters left: 4 (133 enodes) 28.583 * * [simplify]: iters left: 3 (346 enodes) 28.686 * * [simplify]: Extracting #0: cost 1 inf + 0 28.686 * * [simplify]: Extracting #1: cost 24 inf + 0 28.687 * * [simplify]: Extracting #2: cost 106 inf + 0 28.688 * * [simplify]: Extracting #3: cost 169 inf + 187 28.690 * * [simplify]: Extracting #4: cost 192 inf + 1305 28.692 * * [simplify]: Extracting #5: cost 134 inf + 13306 28.704 * * [simplify]: Extracting #6: cost 20 inf + 48718 28.717 * * [simplify]: Extracting #7: cost 0 inf + 56881 28.731 * [simplify]: Simplified to (+ (/ (- (+ (log n) (+ (log 2) (log PI))) (* (+ (log n) (+ (log 2) (log PI))) k)) 2) (* (log k) -1/2)) 28.731 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (/ (- (+ (log n) (+ (log 2) (log PI))) (* (+ (log n) (+ (log 2) (log PI))) k)) 2) (* (log k) -1/2)))) 28.731 * * * * [progress]: [ 72 / 112 ] simplifiying candidate # 28.732 * [simplify]: Simplifying (+ (log (pow k -1/2)) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))) 28.732 * * [simplify]: iters left: 6 (16 enodes) 28.737 * * [simplify]: iters left: 5 (71 enodes) 28.750 * * [simplify]: iters left: 4 (126 enodes) 28.789 * * [simplify]: iters left: 3 (292 enodes) 28.881 * * [simplify]: Extracting #0: cost 1 inf + 0 28.881 * * [simplify]: Extracting #1: cost 21 inf + 0 28.881 * * [simplify]: Extracting #2: cost 91 inf + 0 28.882 * * [simplify]: Extracting #3: cost 150 inf + 76 28.883 * * [simplify]: Extracting #4: cost 171 inf + 1571 28.887 * * [simplify]: Extracting #5: cost 111 inf + 13499 28.894 * * [simplify]: Extracting #6: cost 25 inf + 37640 28.902 * * [simplify]: Extracting #7: cost 0 inf + 46259 28.910 * * [simplify]: Extracting #8: cost 0 inf + 46095 28.922 * [simplify]: Simplified to (+ (/ (- (+ (log n) (log (* 2 PI))) (* k (+ (log n) (log (* 2 PI))))) 2) (* (log k) -1/2)) 28.922 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (/ (- (+ (log n) (log (* 2 PI))) (* k (+ (log n) (log (* 2 PI))))) 2) (* (log k) -1/2)))) 28.922 * * * * [progress]: [ 73 / 112 ] simplifiying candidate # 28.923 * [simplify]: Simplifying (+ (log (pow k -1/2)) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 28.923 * * [simplify]: iters left: 6 (15 enodes) 28.927 * * [simplify]: iters left: 5 (70 enodes) 28.943 * * [simplify]: iters left: 4 (133 enodes) 28.969 * * [simplify]: iters left: 3 (280 enodes) 29.039 * * [simplify]: Extracting #0: cost 1 inf + 0 29.039 * * [simplify]: Extracting #1: cost 14 inf + 0 29.039 * * [simplify]: Extracting #2: cost 76 inf + 0 29.040 * * [simplify]: Extracting #3: cost 140 inf + 5 29.040 * * [simplify]: Extracting #4: cost 174 inf + 921 29.042 * * [simplify]: Extracting #5: cost 104 inf + 12431 29.048 * * [simplify]: Extracting #6: cost 14 inf + 35452 29.055 * * [simplify]: Extracting #7: cost 0 inf + 38959 29.062 * [simplify]: Simplified to (+ (* -1/2 (log k)) (/ (- (log (* PI (* n 2))) (* (log (* PI (* n 2))) k)) 2)) 29.062 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* -1/2 (log k)) (/ (- (log (* PI (* n 2))) (* (log (* PI (* n 2))) k)) 2)))) 29.062 * * * * [progress]: [ 74 / 112 ] simplifiying candidate # 29.062 * [simplify]: Simplifying (+ (log (pow k -1/2)) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 29.063 * * [simplify]: iters left: 6 (15 enodes) 29.071 * * [simplify]: iters left: 5 (70 enodes) 29.091 * * [simplify]: iters left: 4 (133 enodes) 29.119 * * [simplify]: iters left: 3 (280 enodes) 29.188 * * [simplify]: Extracting #0: cost 1 inf + 0 29.188 * * [simplify]: Extracting #1: cost 14 inf + 0 29.188 * * [simplify]: Extracting #2: cost 76 inf + 0 29.188 * * [simplify]: Extracting #3: cost 140 inf + 5 29.189 * * [simplify]: Extracting #4: cost 174 inf + 921 29.191 * * [simplify]: Extracting #5: cost 104 inf + 12431 29.196 * * [simplify]: Extracting #6: cost 14 inf + 35452 29.203 * * [simplify]: Extracting #7: cost 0 inf + 38959 29.211 * [simplify]: Simplified to (+ (* -1/2 (log k)) (/ (- (log (* PI (* n 2))) (* (log (* PI (* n 2))) k)) 2)) 29.211 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* -1/2 (log k)) (/ (- (log (* PI (* n 2))) (* (log (* PI (* n 2))) k)) 2)))) 29.211 * * * * [progress]: [ 75 / 112 ] simplifiying candidate # 29.211 * [simplify]: Simplifying (+ (log (pow k -1/2)) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 29.211 * * [simplify]: iters left: 6 (15 enodes) 29.218 * * [simplify]: iters left: 5 (69 enodes) 29.237 * * [simplify]: iters left: 4 (133 enodes) 29.264 * * [simplify]: iters left: 3 (274 enodes) 29.325 * * [simplify]: Extracting #0: cost 1 inf + 0 29.325 * * [simplify]: Extracting #1: cost 16 inf + 0 29.325 * * [simplify]: Extracting #2: cost 102 inf + 0 29.325 * * [simplify]: Extracting #3: cost 181 inf + 4 29.326 * * [simplify]: Extracting #4: cost 184 inf + 2875 29.330 * * [simplify]: Extracting #5: cost 101 inf + 17179 29.342 * * [simplify]: Extracting #6: cost 18 inf + 41749 29.356 * * [simplify]: Extracting #7: cost 1 inf + 47184 29.364 * * [simplify]: Extracting #8: cost 0 inf + 47611 29.372 * [simplify]: Simplified to (+ (* (log k) -1/2) (* (/ (- 1 k) 2) (log (* n (* 2 PI))))) 29.372 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (log k) -1/2) (* (/ (- 1 k) 2) (log (* n (* 2 PI))))))) 29.372 * * * * [progress]: [ 76 / 112 ] simplifiying candidate # 29.372 * * * * [progress]: [ 77 / 112 ] simplifiying candidate # 29.372 * * * * [progress]: [ 78 / 112 ] simplifiying candidate # 29.372 * [simplify]: Simplifying (* (* (* (pow k -1/2) (pow k -1/2)) (pow k -1/2)) (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 29.372 * * [simplify]: iters left: 6 (17 enodes) 29.378 * * [simplify]: iters left: 5 (82 enodes) 29.395 * * [simplify]: iters left: 4 (187 enodes) 29.483 * * [simplify]: Extracting #0: cost 1 inf + 0 29.483 * * [simplify]: Extracting #1: cost 36 inf + 0 29.483 * * [simplify]: Extracting #2: cost 147 inf + 1 29.484 * * [simplify]: Extracting #3: cost 161 inf + 2071 29.485 * * [simplify]: Extracting #4: cost 151 inf + 4860 29.487 * * [simplify]: Extracting #5: cost 101 inf + 20649 29.496 * * [simplify]: Extracting #6: cost 13 inf + 77646 29.506 * * [simplify]: Extracting #7: cost 0 inf + 88763 29.523 * * [simplify]: Extracting #8: cost 0 inf + 88685 29.549 * [simplify]: Simplified to (* (* (pow k -1/2) (/ 1 k)) (* (* (pow (* PI (* n 2)) (/ (- 1 k) 2)) (pow (* PI (* n 2)) (/ (- 1 k) 2))) (pow (* PI (* n 2)) (/ (- 1 k) 2)))) 29.549 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (* (pow k -1/2) (/ 1 k)) (* (* (pow (* PI (* n 2)) (/ (- 1 k) 2)) (pow (* PI (* n 2)) (/ (- 1 k) 2))) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) 29.549 * * * * [progress]: [ 79 / 112 ] simplifiying candidate # 29.549 * * * * [progress]: [ 80 / 112 ] simplifiying candidate # 29.549 * * * * [progress]: [ 81 / 112 ] simplifiying candidate # 29.549 * * * * [progress]: [ 82 / 112 ] simplifiying candidate # 29.549 * * * * [progress]: [ 83 / 112 ] simplifiying candidate # 29.550 * [simplify]: Simplifying (* (pow (sqrt k) -1/2) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 29.550 * * [simplify]: iters left: 6 (15 enodes) 29.559 * * [simplify]: iters left: 5 (65 enodes) 29.581 * * [simplify]: iters left: 4 (111 enodes) 29.602 * * [simplify]: iters left: 3 (190 enodes) 29.659 * * [simplify]: iters left: 2 (358 enodes) 29.755 * * [simplify]: Extracting #0: cost 1 inf + 0 29.755 * * [simplify]: Extracting #1: cost 22 inf + 0 29.756 * * [simplify]: Extracting #2: cost 80 inf + 0 29.756 * * [simplify]: Extracting #3: cost 92 inf + 7 29.757 * * [simplify]: Extracting #4: cost 137 inf + 1522 29.758 * * [simplify]: Extracting #5: cost 135 inf + 9284 29.761 * * [simplify]: Extracting #6: cost 63 inf + 35401 29.773 * * [simplify]: Extracting #7: cost 19 inf + 60813 29.787 * * [simplify]: Extracting #8: cost 0 inf + 75234 29.796 * * [simplify]: Extracting #9: cost 0 inf + 74852 29.805 * [simplify]: Simplified to (* (pow (sqrt k) -1/2) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 29.805 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (sqrt k) -1/2) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (pow (sqrt k) -1/2) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 29.805 * [simplify]: Simplifying (* (pow (sqrt k) -1/2) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 29.805 * * [simplify]: iters left: 6 (15 enodes) 29.810 * * [simplify]: iters left: 5 (65 enodes) 29.824 * * [simplify]: iters left: 4 (111 enodes) 29.861 * * [simplify]: iters left: 3 (190 enodes) 29.901 * * [simplify]: iters left: 2 (358 enodes) 29.991 * * [simplify]: Extracting #0: cost 1 inf + 0 29.991 * * [simplify]: Extracting #1: cost 22 inf + 0 29.992 * * [simplify]: Extracting #2: cost 80 inf + 0 29.992 * * [simplify]: Extracting #3: cost 92 inf + 7 29.992 * * [simplify]: Extracting #4: cost 137 inf + 1522 29.994 * * [simplify]: Extracting #5: cost 135 inf + 9284 29.997 * * [simplify]: Extracting #6: cost 63 inf + 35401 30.010 * * [simplify]: Extracting #7: cost 19 inf + 60813 30.027 * * [simplify]: Extracting #8: cost 0 inf + 75234 30.043 * * [simplify]: Extracting #9: cost 0 inf + 74852 30.053 * [simplify]: Simplified to (* (pow (sqrt k) -1/2) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 30.053 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (sqrt k) -1/2) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (pow (sqrt k) -1/2) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 30.053 * * * * [progress]: [ 84 / 112 ] simplifiying candidate # 30.053 * [simplify]: Simplifying (* (pow (sqrt k) -1/2) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 30.053 * * [simplify]: iters left: 6 (15 enodes) 30.058 * * [simplify]: iters left: 5 (68 enodes) 30.077 * * [simplify]: iters left: 4 (125 enodes) 30.116 * * [simplify]: iters left: 3 (246 enodes) 30.191 * * [simplify]: Extracting #0: cost 1 inf + 0 30.191 * * [simplify]: Extracting #1: cost 32 inf + 0 30.191 * * [simplify]: Extracting #2: cost 114 inf + 0 30.192 * * [simplify]: Extracting #3: cost 148 inf + 5 30.193 * * [simplify]: Extracting #4: cost 145 inf + 1442 30.198 * * [simplify]: Extracting #5: cost 84 inf + 22762 30.212 * * [simplify]: Extracting #6: cost 8 inf + 70872 30.223 * * [simplify]: Extracting #7: cost 0 inf + 73751 30.234 * [simplify]: Simplified to (* (pow (sqrt k) -1/2) (pow (* n (* 2 PI)) (/ (- 1 k) 4))) 30.234 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (sqrt k) -1/2) (pow (* n (* 2 PI)) (/ (- 1 k) 4))) (* (pow (sqrt k) -1/2) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))) 30.234 * [simplify]: Simplifying (* (pow (sqrt k) -1/2) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 30.234 * * [simplify]: iters left: 6 (15 enodes) 30.239 * * [simplify]: iters left: 5 (68 enodes) 30.259 * * [simplify]: iters left: 4 (125 enodes) 30.294 * * [simplify]: iters left: 3 (246 enodes) 30.368 * * [simplify]: Extracting #0: cost 1 inf + 0 30.368 * * [simplify]: Extracting #1: cost 32 inf + 0 30.369 * * [simplify]: Extracting #2: cost 114 inf + 0 30.369 * * [simplify]: Extracting #3: cost 148 inf + 5 30.371 * * [simplify]: Extracting #4: cost 145 inf + 1442 30.375 * * [simplify]: Extracting #5: cost 84 inf + 22762 30.389 * * [simplify]: Extracting #6: cost 8 inf + 70872 30.407 * * [simplify]: Extracting #7: cost 0 inf + 73751 30.424 * [simplify]: Simplified to (* (pow (sqrt k) -1/2) (pow (* n (* 2 PI)) (/ (- 1 k) 4))) 30.424 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (sqrt k) -1/2) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (pow (sqrt k) -1/2) (pow (* n (* 2 PI)) (/ (- 1 k) 4))))) 30.425 * * * * [progress]: [ 85 / 112 ] simplifiying candidate # 30.425 * [simplify]: Simplifying (* (sqrt (pow k -1/2)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 30.425 * * [simplify]: iters left: 6 (15 enodes) 30.434 * * [simplify]: iters left: 5 (65 enodes) 30.455 * * [simplify]: iters left: 4 (108 enodes) 30.474 * * [simplify]: iters left: 3 (179 enodes) 30.527 * * [simplify]: iters left: 2 (315 enodes) 30.615 * * [simplify]: Extracting #0: cost 1 inf + 0 30.615 * * [simplify]: Extracting #1: cost 4 inf + 0 30.615 * * [simplify]: Extracting #2: cost 10 inf + 0 30.615 * * [simplify]: Extracting #3: cost 40 inf + 0 30.615 * * [simplify]: Extracting #4: cost 114 inf + 4 30.617 * * [simplify]: Extracting #5: cost 116 inf + 3942 30.620 * * [simplify]: Extracting #6: cost 63 inf + 15090 30.626 * * [simplify]: Extracting #7: cost 16 inf + 32664 30.636 * * [simplify]: Extracting #8: cost 2 inf + 40800 30.646 * * [simplify]: Extracting #9: cost 0 inf + 41984 30.656 * * [simplify]: Extracting #10: cost 0 inf + 41862 30.666 * [simplify]: Simplified to (* (sqrt (pow k -1/2)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 30.666 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow k -1/2)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (sqrt (pow k -1/2)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 30.666 * [simplify]: Simplifying (* (sqrt (pow k -1/2)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 30.667 * * [simplify]: iters left: 6 (15 enodes) 30.678 * * [simplify]: iters left: 5 (65 enodes) 30.700 * * [simplify]: iters left: 4 (108 enodes) 30.719 * * [simplify]: iters left: 3 (179 enodes) 30.758 * * [simplify]: iters left: 2 (315 enodes) 30.840 * * [simplify]: Extracting #0: cost 1 inf + 0 30.840 * * [simplify]: Extracting #1: cost 4 inf + 0 30.840 * * [simplify]: Extracting #2: cost 10 inf + 0 30.841 * * [simplify]: Extracting #3: cost 40 inf + 0 30.841 * * [simplify]: Extracting #4: cost 114 inf + 4 30.841 * * [simplify]: Extracting #5: cost 116 inf + 3942 30.843 * * [simplify]: Extracting #6: cost 63 inf + 15090 30.846 * * [simplify]: Extracting #7: cost 16 inf + 32664 30.852 * * [simplify]: Extracting #8: cost 2 inf + 40800 30.857 * * [simplify]: Extracting #9: cost 0 inf + 41984 30.864 * * [simplify]: Extracting #10: cost 0 inf + 41862 30.869 * [simplify]: Simplified to (* (sqrt (pow k -1/2)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 30.869 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow k -1/2)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (sqrt (pow k -1/2)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 30.869 * * * * [progress]: [ 86 / 112 ] simplifiying candidate # 30.870 * [simplify]: Simplifying (* (sqrt (pow k -1/2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 30.870 * * [simplify]: iters left: 6 (15 enodes) 30.875 * * [simplify]: iters left: 5 (68 enodes) 30.892 * * [simplify]: iters left: 4 (118 enodes) 30.918 * * [simplify]: iters left: 3 (208 enodes) 30.981 * * [simplify]: iters left: 2 (412 enodes) 31.090 * * [simplify]: Extracting #0: cost 1 inf + 0 31.090 * * [simplify]: Extracting #1: cost 36 inf + 0 31.090 * * [simplify]: Extracting #2: cost 106 inf + 0 31.091 * * [simplify]: Extracting #3: cost 169 inf + 2 31.093 * * [simplify]: Extracting #4: cost 193 inf + 984 31.096 * * [simplify]: Extracting #5: cost 145 inf + 9064 31.106 * * [simplify]: Extracting #6: cost 49 inf + 51280 31.120 * * [simplify]: Extracting #7: cost 4 inf + 89226 31.132 * * [simplify]: Extracting #8: cost 0 inf + 92777 31.152 * * [simplify]: Extracting #9: cost 0 inf + 92654 31.173 * [simplify]: Simplified to (* (sqrt (pow k -1/2)) (pow (* n (* 2 PI)) (/ (- 1 k) 4))) 31.173 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow k -1/2)) (pow (* n (* 2 PI)) (/ (- 1 k) 4))) (* (sqrt (pow k -1/2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))) 31.174 * [simplify]: Simplifying (* (sqrt (pow k -1/2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 31.174 * * [simplify]: iters left: 6 (15 enodes) 31.179 * * [simplify]: iters left: 5 (68 enodes) 31.191 * * [simplify]: iters left: 4 (118 enodes) 31.217 * * [simplify]: iters left: 3 (208 enodes) 31.282 * * [simplify]: iters left: 2 (412 enodes) 31.411 * * [simplify]: Extracting #0: cost 1 inf + 0 31.412 * * [simplify]: Extracting #1: cost 36 inf + 0 31.412 * * [simplify]: Extracting #2: cost 106 inf + 0 31.413 * * [simplify]: Extracting #3: cost 169 inf + 2 31.414 * * [simplify]: Extracting #4: cost 193 inf + 984 31.418 * * [simplify]: Extracting #5: cost 145 inf + 9064 31.429 * * [simplify]: Extracting #6: cost 49 inf + 51280 31.451 * * [simplify]: Extracting #7: cost 4 inf + 89226 31.475 * * [simplify]: Extracting #8: cost 0 inf + 92777 31.502 * * [simplify]: Extracting #9: cost 0 inf + 92654 31.526 * [simplify]: Simplified to (* (sqrt (pow k -1/2)) (pow (* n (* 2 PI)) (/ (- 1 k) 4))) 31.526 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow k -1/2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (sqrt (pow k -1/2)) (pow (* n (* 2 PI)) (/ (- 1 k) 4))))) 31.526 * * * * [progress]: [ 87 / 112 ] simplifiying candidate # 31.526 * [simplify]: Simplifying (* (pow k (/ -1/2 2)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 31.526 * * [simplify]: iters left: 6 (15 enodes) 31.536 * * [simplify]: iters left: 5 (66 enodes) 31.560 * * [simplify]: iters left: 4 (117 enodes) 31.601 * * [simplify]: iters left: 3 (207 enodes) 31.672 * * [simplify]: iters left: 2 (392 enodes) 31.760 * * [simplify]: Extracting #0: cost 1 inf + 0 31.760 * * [simplify]: Extracting #1: cost 27 inf + 0 31.761 * * [simplify]: Extracting #2: cost 83 inf + 0 31.761 * * [simplify]: Extracting #3: cost 93 inf + 8 31.762 * * [simplify]: Extracting #4: cost 127 inf + 6427 31.763 * * [simplify]: Extracting #5: cost 129 inf + 13260 31.769 * * [simplify]: Extracting #6: cost 75 inf + 27993 31.781 * * [simplify]: Extracting #7: cost 30 inf + 54942 31.798 * * [simplify]: Extracting #8: cost 0 inf + 76455 31.815 * * [simplify]: Extracting #9: cost 0 inf + 75720 31.833 * * [simplify]: Extracting #10: cost 0 inf + 75458 31.845 * [simplify]: Simplified to (* (pow k -1/4) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) 31.845 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow k -1/4) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (* (pow k (/ -1/2 2)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 31.846 * [simplify]: Simplifying (* (pow k (/ -1/2 2)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 31.846 * * [simplify]: iters left: 6 (15 enodes) 31.851 * * [simplify]: iters left: 5 (66 enodes) 31.864 * * [simplify]: iters left: 4 (117 enodes) 31.902 * * [simplify]: iters left: 3 (207 enodes) 31.979 * * [simplify]: iters left: 2 (392 enodes) 32.137 * * [simplify]: Extracting #0: cost 1 inf + 0 32.137 * * [simplify]: Extracting #1: cost 27 inf + 0 32.138 * * [simplify]: Extracting #2: cost 83 inf + 0 32.139 * * [simplify]: Extracting #3: cost 93 inf + 8 32.140 * * [simplify]: Extracting #4: cost 127 inf + 6427 32.143 * * [simplify]: Extracting #5: cost 129 inf + 13260 32.149 * * [simplify]: Extracting #6: cost 75 inf + 27993 32.161 * * [simplify]: Extracting #7: cost 30 inf + 54942 32.178 * * [simplify]: Extracting #8: cost 0 inf + 76455 32.195 * * [simplify]: Extracting #9: cost 0 inf + 75720 32.208 * * [simplify]: Extracting #10: cost 0 inf + 75458 32.217 * [simplify]: Simplified to (* (pow k -1/4) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) 32.217 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow k (/ -1/2 2)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (pow k -1/4) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) 32.217 * * * * [progress]: [ 88 / 112 ] simplifiying candidate # 32.217 * [simplify]: Simplifying (* (pow k (/ -1/2 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 32.217 * * [simplify]: iters left: 6 (15 enodes) 32.225 * * [simplify]: iters left: 5 (69 enodes) 32.248 * * [simplify]: iters left: 4 (131 enodes) 32.297 * * [simplify]: iters left: 3 (262 enodes) 32.415 * * [simplify]: Extracting #0: cost 1 inf + 0 32.415 * * [simplify]: Extracting #1: cost 32 inf + 0 32.416 * * [simplify]: Extracting #2: cost 113 inf + 0 32.417 * * [simplify]: Extracting #3: cost 145 inf + 6 32.418 * * [simplify]: Extracting #4: cost 131 inf + 4394 32.425 * * [simplify]: Extracting #5: cost 59 inf + 34433 32.439 * * [simplify]: Extracting #6: cost 4 inf + 65966 32.455 * * [simplify]: Extracting #7: cost 0 inf + 69228 32.470 * [simplify]: Simplified to (* (pow k -1/4) (pow (* n (* 2 PI)) (/ (- 1 k) 4))) 32.470 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow k -1/4) (pow (* n (* 2 PI)) (/ (- 1 k) 4))) (* (pow k (/ -1/2 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))) 32.471 * [simplify]: Simplifying (* (pow k (/ -1/2 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 32.471 * * [simplify]: iters left: 6 (15 enodes) 32.482 * * [simplify]: iters left: 5 (69 enodes) 32.512 * * [simplify]: iters left: 4 (131 enodes) 32.562 * * [simplify]: iters left: 3 (262 enodes) 32.660 * * [simplify]: Extracting #0: cost 1 inf + 0 32.660 * * [simplify]: Extracting #1: cost 32 inf + 0 32.660 * * [simplify]: Extracting #2: cost 113 inf + 0 32.661 * * [simplify]: Extracting #3: cost 145 inf + 6 32.663 * * [simplify]: Extracting #4: cost 131 inf + 4394 32.670 * * [simplify]: Extracting #5: cost 59 inf + 34433 32.685 * * [simplify]: Extracting #6: cost 4 inf + 65966 32.701 * * [simplify]: Extracting #7: cost 0 inf + 69228 32.714 * [simplify]: Simplified to (* (pow k -1/4) (pow (* n (* 2 PI)) (/ (- 1 k) 4))) 32.715 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow k (/ -1/2 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (pow k -1/4) (pow (* n (* 2 PI)) (/ (- 1 k) 4))))) 32.715 * * * * [progress]: [ 89 / 112 ] simplifiying candidate # 32.715 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 32.715 * * [simplify]: iters left: 5 (7 enodes) 32.718 * * [simplify]: iters left: 4 (32 enodes) 32.724 * * [simplify]: iters left: 3 (57 enodes) 32.733 * * [simplify]: iters left: 2 (88 enodes) 32.764 * * [simplify]: iters left: 1 (156 enodes) 32.826 * * [simplify]: Extracting #0: cost 1 inf + 0 32.826 * * [simplify]: Extracting #1: cost 13 inf + 0 32.827 * * [simplify]: Extracting #2: cost 49 inf + 2 32.827 * * [simplify]: Extracting #3: cost 80 inf + 6 32.828 * * [simplify]: Extracting #4: cost 58 inf + 1840 32.831 * * [simplify]: Extracting #5: cost 22 inf + 9206 32.836 * * [simplify]: Extracting #6: cost 1 inf + 20886 32.842 * * [simplify]: Extracting #7: cost 0 inf + 21301 32.848 * * [simplify]: Extracting #8: cost 0 inf + 21130 32.851 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 32.851 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow k -1/2) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 32.851 * * * * [progress]: [ 90 / 112 ] simplifiying candidate # 32.851 * [simplify]: Simplifying (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 32.851 * * [simplify]: iters left: 6 (11 enodes) 32.855 * * [simplify]: iters left: 5 (48 enodes) 32.864 * * [simplify]: iters left: 4 (77 enodes) 32.879 * * [simplify]: iters left: 3 (118 enodes) 32.910 * * [simplify]: iters left: 2 (206 enodes) 32.959 * * [simplify]: iters left: 1 (370 enodes) 33.159 * * [simplify]: Extracting #0: cost 1 inf + 0 33.159 * * [simplify]: Extracting #1: cost 3 inf + 0 33.159 * * [simplify]: Extracting #2: cost 27 inf + 0 33.160 * * [simplify]: Extracting #3: cost 102 inf + 1 33.161 * * [simplify]: Extracting #4: cost 162 inf + 134 33.163 * * [simplify]: Extracting #5: cost 156 inf + 519 33.167 * * [simplify]: Extracting #6: cost 94 inf + 9125 33.177 * * [simplify]: Extracting #7: cost 36 inf + 32718 33.197 * * [simplify]: Extracting #8: cost 2 inf + 60006 33.219 * * [simplify]: Extracting #9: cost 0 inf + 59623 33.239 * [simplify]: Simplified to (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) 33.239 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow k -1/2) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))))) 33.240 * * * * [progress]: [ 91 / 112 ] simplifiying candidate # 33.240 * [simplify]: Simplifying (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 33.240 * * [simplify]: iters left: 6 (11 enodes) 33.244 * * [simplify]: iters left: 5 (48 enodes) 33.252 * * [simplify]: iters left: 4 (78 enodes) 33.264 * * [simplify]: iters left: 3 (119 enodes) 33.294 * * [simplify]: iters left: 2 (210 enodes) 33.760 * * [simplify]: iters left: 1 (383 enodes) 33.876 * * [simplify]: Extracting #0: cost 1 inf + 0 33.876 * * [simplify]: Extracting #1: cost 4 inf + 0 33.876 * * [simplify]: Extracting #2: cost 28 inf + 0 33.877 * * [simplify]: Extracting #3: cost 110 inf + 1 33.877 * * [simplify]: Extracting #4: cost 152 inf + 178 33.878 * * [simplify]: Extracting #5: cost 142 inf + 935 33.880 * * [simplify]: Extracting #6: cost 87 inf + 7703 33.886 * * [simplify]: Extracting #7: cost 23 inf + 38047 33.903 * * [simplify]: Extracting #8: cost 1 inf + 56893 33.922 * * [simplify]: Extracting #9: cost 0 inf + 58062 33.941 * [simplify]: Simplified to (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 33.941 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow k -1/2) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 33.942 * * * * [progress]: [ 92 / 112 ] simplifiying candidate # 33.942 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ (- 1 k) 2)) 33.942 * * [simplify]: iters left: 5 (10 enodes) 33.948 * * [simplify]: iters left: 4 (45 enodes) 33.955 * * [simplify]: iters left: 3 (78 enodes) 33.968 * * [simplify]: iters left: 2 (118 enodes) 33.992 * * [simplify]: iters left: 1 (191 enodes) 34.032 * * [simplify]: Extracting #0: cost 1 inf + 0 34.032 * * [simplify]: Extracting #1: cost 13 inf + 0 34.032 * * [simplify]: Extracting #2: cost 59 inf + 1 34.033 * * [simplify]: Extracting #3: cost 91 inf + 7 34.033 * * [simplify]: Extracting #4: cost 83 inf + 556 34.037 * * [simplify]: Extracting #5: cost 33 inf + 11764 34.045 * * [simplify]: Extracting #6: cost 0 inf + 23469 34.054 * * [simplify]: Extracting #7: cost 0 inf + 23146 34.063 * [simplify]: Simplified to (pow (* (* 2 PI) n) (/ (- 1 k) 2)) 34.063 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow k -1/2) 1) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 34.063 * * * * [progress]: [ 93 / 112 ] simplifiying candidate # 34.064 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) 34.064 * * [simplify]: iters left: 6 (11 enodes) 34.071 * * [simplify]: iters left: 5 (51 enodes) 34.088 * * [simplify]: iters left: 4 (87 enodes) 34.105 * * [simplify]: iters left: 3 (143 enodes) 34.140 * * [simplify]: iters left: 2 (259 enodes) 34.227 * * [simplify]: iters left: 1 (469 enodes) 34.480 * * [simplify]: Extracting #0: cost 1 inf + 0 34.480 * * [simplify]: Extracting #1: cost 23 inf + 0 34.480 * * [simplify]: Extracting #2: cost 109 inf + 1 34.481 * * [simplify]: Extracting #3: cost 194 inf + 137 34.482 * * [simplify]: Extracting #4: cost 176 inf + 2344 34.487 * * [simplify]: Extracting #5: cost 80 inf + 17283 34.496 * * [simplify]: Extracting #6: cost 12 inf + 52046 34.515 * * [simplify]: Extracting #7: cost 0 inf + 61992 34.535 * [simplify]: Simplified to (pow (* (* 2 PI) n) (* 1/4 (- 1 k))) 34.535 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (* (* 2 PI) n) (* 1/4 (- 1 k))))) 34.536 * * * * [progress]: [ 94 / 112 ] simplifiying candidate # 34.536 * [simplify]: Simplifying (pow (* (cbrt k) (cbrt k)) -1/2) 34.536 * * [simplify]: iters left: 4 (5 enodes) 34.539 * * [simplify]: iters left: 3 (20 enodes) 34.547 * * [simplify]: iters left: 2 (34 enodes) 34.566 * * [simplify]: iters left: 1 (64 enodes) 34.588 * * [simplify]: Extracting #0: cost 1 inf + 0 34.588 * * [simplify]: Extracting #1: cost 9 inf + 0 34.588 * * [simplify]: Extracting #2: cost 23 inf + 1 34.588 * * [simplify]: Extracting #3: cost 22 inf + 5 34.588 * * [simplify]: Extracting #4: cost 18 inf + 169 34.589 * * [simplify]: Extracting #5: cost 9 inf + 3237 34.589 * * [simplify]: Extracting #6: cost 0 inf + 7611 34.590 * [simplify]: Simplified to (pow (* (cbrt k) (cbrt k)) -1/2) 34.590 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (cbrt k) (cbrt k)) -1/2) (* (pow (cbrt k) -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 34.590 * * * * [progress]: [ 95 / 112 ] simplifiying candidate # 34.590 * [simplify]: Simplifying (pow (sqrt k) -1/2) 34.590 * * [simplify]: iters left: 2 (4 enodes) 34.592 * * [simplify]: iters left: 1 (17 enodes) 34.595 * * [simplify]: Extracting #0: cost 1 inf + 0 34.595 * * [simplify]: Extracting #1: cost 5 inf + 0 34.595 * * [simplify]: Extracting #2: cost 9 inf + 1 34.595 * * [simplify]: Extracting #3: cost 8 inf + 3 34.596 * * [simplify]: Extracting #4: cost 1 inf + 1094 34.596 * * [simplify]: Extracting #5: cost 0 inf + 1346 34.596 * [simplify]: Simplified to (pow (sqrt k) -1/2) 34.596 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (sqrt k) -1/2) (* (pow (sqrt k) -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 34.596 * * * * [progress]: [ 96 / 112 ] simplifiying candidate # 34.596 * [simplify]: Simplifying (pow 1 -1/2) 34.596 * * [simplify]: iters left: 1 (3 enodes) 34.597 * * [simplify]: Extracting #0: cost 1 inf + 0 34.597 * * [simplify]: Extracting #1: cost 0 inf + 1 34.597 * [simplify]: Simplified to 1 34.597 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 34.597 * * * * [progress]: [ 97 / 112 ] simplifiying candidate # 34.598 * [simplify]: Simplifying (* (cbrt (pow k -1/2)) (cbrt (pow k -1/2))) 34.598 * * [simplify]: iters left: 4 (5 enodes) 34.599 * * [simplify]: iters left: 3 (20 enodes) 34.603 * * [simplify]: iters left: 2 (34 enodes) 34.611 * * [simplify]: iters left: 1 (64 enodes) 34.626 * * [simplify]: Extracting #0: cost 1 inf + 0 34.626 * * [simplify]: Extracting #1: cost 3 inf + 0 34.626 * * [simplify]: Extracting #2: cost 5 inf + 0 34.626 * * [simplify]: Extracting #3: cost 13 inf + 0 34.626 * * [simplify]: Extracting #4: cost 24 inf + 2 34.626 * * [simplify]: Extracting #5: cost 15 inf + 1558 34.627 * * [simplify]: Extracting #6: cost 6 inf + 4299 34.628 * * [simplify]: Extracting #7: cost 0 inf + 6535 34.628 * [simplify]: Simplified to (* (cbrt (pow k -1/2)) (cbrt (pow k -1/2))) 34.628 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow k -1/2)) (cbrt (pow k -1/2))) (* (cbrt (pow k -1/2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 34.629 * * * * [progress]: [ 98 / 112 ] simplifiying candidate # 34.629 * [simplify]: Simplifying (sqrt (pow k -1/2)) 34.629 * * [simplify]: iters left: 2 (4 enodes) 34.632 * * [simplify]: iters left: 1 (17 enodes) 34.639 * * [simplify]: Extracting #0: cost 1 inf + 0 34.639 * * [simplify]: Extracting #1: cost 4 inf + 0 34.639 * * [simplify]: Extracting #2: cost 10 inf + 0 34.639 * * [simplify]: Extracting #3: cost 8 inf + 3 34.639 * * [simplify]: Extracting #4: cost 1 inf + 1356 34.639 * * [simplify]: Extracting #5: cost 0 inf + 1568 34.639 * [simplify]: Simplified to (sqrt (pow k -1/2)) 34.640 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow k -1/2)) (* (sqrt (pow k -1/2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 34.640 * * * * [progress]: [ 99 / 112 ] simplifiying candidate # 34.640 * * * * [progress]: [ 100 / 112 ] simplifiying candidate # 34.640 * [simplify]: Simplifying (pow k (/ -1/2 2)) 34.640 * * [simplify]: iters left: 3 (5 enodes) 34.644 * * [simplify]: iters left: 2 (20 enodes) 34.653 * * [simplify]: iters left: 1 (37 enodes) 34.669 * * [simplify]: Extracting #0: cost 1 inf + 0 34.669 * * [simplify]: Extracting #1: cost 9 inf + 0 34.669 * * [simplify]: Extracting #2: cost 12 inf + 2 34.669 * * [simplify]: Extracting #3: cost 7 inf + 852 34.669 * * [simplify]: Extracting #4: cost 0 inf + 2667 34.670 * [simplify]: Simplified to (pow k -1/4) 34.670 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow k -1/4) (* (pow k (/ -1/2 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 34.670 * * * * [progress]: [ 101 / 112 ] simplifiying candidate # 34.670 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ k 2)) 34.670 * * [simplify]: iters left: 5 (8 enodes) 34.674 * * [simplify]: iters left: 4 (31 enodes) 34.687 * * [simplify]: iters left: 3 (51 enodes) 34.704 * * [simplify]: iters left: 2 (85 enodes) 34.718 * * [simplify]: iters left: 1 (152 enodes) 34.747 * * [simplify]: Extracting #0: cost 1 inf + 0 34.747 * * [simplify]: Extracting #1: cost 13 inf + 0 34.748 * * [simplify]: Extracting #2: cost 60 inf + 1 34.748 * * [simplify]: Extracting #3: cost 76 inf + 51 34.749 * * [simplify]: Extracting #4: cost 44 inf + 2846 34.752 * * [simplify]: Extracting #5: cost 21 inf + 7590 34.757 * * [simplify]: Extracting #6: cost 1 inf + 20687 34.762 * * [simplify]: Extracting #7: cost 0 inf + 20539 34.768 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 34.768 * [simplify]: Simplified (2 2) to (λ (k n) (/ (* (pow k -1/2) (pow (* (* 2 PI) n) (/ 1 2))) (pow (* (* n 2) PI) (/ k 2)))) 34.768 * * * * [progress]: [ 102 / 112 ] simplifiying candidate #real (real->posit16 (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))> 34.768 * * * * [progress]: [ 103 / 112 ] simplifiying candidate # 34.768 * * * * [progress]: [ 104 / 112 ] simplifiying candidate # 34.769 * [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))))) 34.769 * * [simplify]: iters left: 6 (37 enodes) 34.787 * * [simplify]: iters left: 5 (187 enodes) 34.847 * * [simplify]: iters left: 4 (488 enodes) 35.031 * * [simplify]: Extracting #0: cost 1 inf + 0 35.031 * * [simplify]: Extracting #1: cost 57 inf + 0 35.038 * * [simplify]: Extracting #2: cost 294 inf + 0 35.042 * * [simplify]: Extracting #3: cost 524 inf + 199 35.047 * * [simplify]: Extracting #4: cost 512 inf + 6095 35.063 * * [simplify]: Extracting #5: cost 310 inf + 78036 35.118 * * [simplify]: Extracting #6: cost 40 inf + 220622 35.194 * * [simplify]: Extracting #7: cost 0 inf + 244981 35.275 * * [simplify]: Extracting #8: cost 0 inf + 243455 35.342 * * [simplify]: Extracting #9: cost 0 inf + 243454 35.407 * [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)))))))) 35.407 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow k -1/2) (+ (* (* (* 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)))))))))) 35.408 * * * * [progress]: [ 105 / 112 ] simplifiying candidate # 35.408 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 35.408 * * [simplify]: iters left: 6 (15 enodes) 35.413 * * [simplify]: iters left: 5 (65 enodes) 35.425 * * [simplify]: iters left: 4 (123 enodes) 35.466 * * [simplify]: iters left: 3 (361 enodes) 35.644 * * [simplify]: Extracting #0: cost 1 inf + 0 35.644 * * [simplify]: Extracting #1: cost 37 inf + 0 35.645 * * [simplify]: Extracting #2: cost 213 inf + 72 35.646 * * [simplify]: Extracting #3: cost 350 inf + 1716 35.651 * * [simplify]: Extracting #4: cost 221 inf + 30028 35.663 * * [simplify]: Extracting #5: cost 33 inf + 78046 35.682 * * [simplify]: Extracting #6: cost 1 inf + 88785 35.713 * * [simplify]: Extracting #7: cost 0 inf + 88926 35.748 * * [simplify]: Extracting #8: cost 0 inf + 88841 35.778 * [simplify]: Simplified to (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) 35.778 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow k -1/2) (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))))) 35.779 * * * * [progress]: [ 106 / 112 ] simplifiying candidate # 35.779 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 35.779 * * [simplify]: iters left: 6 (16 enodes) 35.789 * * [simplify]: iters left: 5 (67 enodes) 35.812 * * [simplify]: iters left: 4 (134 enodes) 35.843 * * [simplify]: iters left: 3 (407 enodes) 36.031 * * [simplify]: Extracting #0: cost 1 inf + 0 36.031 * * [simplify]: Extracting #1: cost 39 inf + 0 36.031 * * [simplify]: Extracting #2: cost 241 inf + 72 36.033 * * [simplify]: Extracting #3: cost 449 inf + 888 36.039 * * [simplify]: Extracting #4: cost 283 inf + 39678 36.062 * * [simplify]: Extracting #5: cost 24 inf + 116942 36.104 * * [simplify]: Extracting #6: cost 0 inf + 121984 36.149 * * [simplify]: Extracting #7: cost 0 inf + 121983 36.192 * [simplify]: Simplified to (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) 36.192 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow k -1/2) (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))))) 36.192 * * * * [progress]: [ 107 / 112 ] simplifiying candidate # 36.192 * [simplify]: Simplifying (* 2 (* n PI)) 36.192 * * [simplify]: iters left: 4 (5 enodes) 36.195 * * [simplify]: iters left: 3 (19 enodes) 36.201 * * [simplify]: iters left: 2 (27 enodes) 36.209 * * [simplify]: iters left: 1 (32 enodes) 36.217 * * [simplify]: Extracting #0: cost 1 inf + 0 36.217 * * [simplify]: Extracting #1: cost 8 inf + 0 36.217 * * [simplify]: Extracting #2: cost 7 inf + 45 36.217 * * [simplify]: Extracting #3: cost 0 inf + 421 36.217 * [simplify]: Simplified to (* (* PI n) 2) 36.217 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (pow (* (* PI n) 2) (/ (- 1 k) 2)))) 36.217 * * * * [progress]: [ 108 / 112 ] simplifiying candidate # 36.218 * [simplify]: Simplifying (* 2 (* n PI)) 36.218 * * [simplify]: iters left: 4 (5 enodes) 36.220 * * [simplify]: iters left: 3 (19 enodes) 36.225 * * [simplify]: iters left: 2 (27 enodes) 36.228 * * [simplify]: iters left: 1 (32 enodes) 36.232 * * [simplify]: Extracting #0: cost 1 inf + 0 36.232 * * [simplify]: Extracting #1: cost 8 inf + 0 36.232 * * [simplify]: Extracting #2: cost 7 inf + 45 36.232 * * [simplify]: Extracting #3: cost 0 inf + 421 36.233 * [simplify]: Simplified to (* (* PI n) 2) 36.233 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (pow (* (* PI n) 2) (/ (- 1 k) 2)))) 36.233 * * * * [progress]: [ 109 / 112 ] simplifiying candidate # 36.233 * [simplify]: Simplifying (* 2 (* n PI)) 36.233 * * [simplify]: iters left: 4 (5 enodes) 36.234 * * [simplify]: iters left: 3 (19 enodes) 36.237 * * [simplify]: iters left: 2 (27 enodes) 36.241 * * [simplify]: iters left: 1 (32 enodes) 36.245 * * [simplify]: Extracting #0: cost 1 inf + 0 36.245 * * [simplify]: Extracting #1: cost 8 inf + 0 36.245 * * [simplify]: Extracting #2: cost 7 inf + 45 36.245 * * [simplify]: Extracting #3: cost 0 inf + 421 36.245 * [simplify]: Simplified to (* (* PI n) 2) 36.245 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (pow (* (* PI n) 2) (/ (- 1 k) 2)))) 36.245 * * * * [progress]: [ 110 / 112 ] simplifiying candidate # 36.246 * [simplify]: Simplifying (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))) 36.246 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 36.246 * * * * [progress]: [ 111 / 112 ] simplifiying candidate # 36.246 * [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)))))))) 36.246 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 36.246 * * * * [progress]: [ 112 / 112 ] simplifiying candidate # 36.246 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k))))))) 36.246 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 36.247 * * * [progress]: adding candidates to table 37.389 * * [progress]: iteration 3 / 4 37.389 * * * [progress]: picking best candidate 37.423 * * * * [pick]: Picked # 37.423 * * * [progress]: localizing error 37.478 * * * [progress]: generating rewritten candidates 37.478 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2) 37.508 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 37.538 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1) 37.570 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 1) 37.593 * * * [progress]: generating series expansions 37.593 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2) 37.594 * [backup-simplify]: Simplify (pow (* (* 2 PI) n) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) 37.594 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0 37.595 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 37.595 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 37.595 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 37.595 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 37.595 * [taylor]: Taking taylor expansion of 1/2 in k 37.595 * [backup-simplify]: Simplify 1/2 into 1/2 37.595 * [taylor]: Taking taylor expansion of (- 1 k) in k 37.595 * [taylor]: Taking taylor expansion of 1 in k 37.595 * [backup-simplify]: Simplify 1 into 1 37.595 * [taylor]: Taking taylor expansion of k in k 37.595 * [backup-simplify]: Simplify 0 into 0 37.595 * [backup-simplify]: Simplify 1 into 1 37.595 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 37.595 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 37.595 * [taylor]: Taking taylor expansion of 2 in k 37.595 * [backup-simplify]: Simplify 2 into 2 37.595 * [taylor]: Taking taylor expansion of (* n PI) in k 37.595 * [taylor]: Taking taylor expansion of n in k 37.595 * [backup-simplify]: Simplify n into n 37.595 * [taylor]: Taking taylor expansion of PI in k 37.595 * [backup-simplify]: Simplify PI into PI 37.595 * [backup-simplify]: Simplify (* n PI) into (* n PI) 37.595 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 37.595 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 37.595 * [backup-simplify]: Simplify (- 0) into 0 37.596 * [backup-simplify]: Simplify (+ 1 0) into 1 37.596 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 37.596 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 37.596 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 37.596 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 37.596 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 37.596 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 37.596 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 37.596 * [taylor]: Taking taylor expansion of 1/2 in n 37.596 * [backup-simplify]: Simplify 1/2 into 1/2 37.596 * [taylor]: Taking taylor expansion of (- 1 k) in n 37.596 * [taylor]: Taking taylor expansion of 1 in n 37.596 * [backup-simplify]: Simplify 1 into 1 37.596 * [taylor]: Taking taylor expansion of k in n 37.596 * [backup-simplify]: Simplify k into k 37.596 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 37.596 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 37.596 * [taylor]: Taking taylor expansion of 2 in n 37.596 * [backup-simplify]: Simplify 2 into 2 37.596 * [taylor]: Taking taylor expansion of (* n PI) in n 37.596 * [taylor]: Taking taylor expansion of n in n 37.596 * [backup-simplify]: Simplify 0 into 0 37.596 * [backup-simplify]: Simplify 1 into 1 37.596 * [taylor]: Taking taylor expansion of PI in n 37.596 * [backup-simplify]: Simplify PI into PI 37.597 * [backup-simplify]: Simplify (* 0 PI) into 0 37.597 * [backup-simplify]: Simplify (* 2 0) into 0 37.598 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 37.599 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 37.600 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 37.600 * [backup-simplify]: Simplify (- k) into (- k) 37.600 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 37.600 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 37.601 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 37.601 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 37.602 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 37.602 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 37.602 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 37.602 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 37.602 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 37.602 * [taylor]: Taking taylor expansion of 1/2 in n 37.602 * [backup-simplify]: Simplify 1/2 into 1/2 37.602 * [taylor]: Taking taylor expansion of (- 1 k) in n 37.602 * [taylor]: Taking taylor expansion of 1 in n 37.602 * [backup-simplify]: Simplify 1 into 1 37.602 * [taylor]: Taking taylor expansion of k in n 37.602 * [backup-simplify]: Simplify k into k 37.602 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 37.602 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 37.602 * [taylor]: Taking taylor expansion of 2 in n 37.602 * [backup-simplify]: Simplify 2 into 2 37.602 * [taylor]: Taking taylor expansion of (* n PI) in n 37.602 * [taylor]: Taking taylor expansion of n in n 37.602 * [backup-simplify]: Simplify 0 into 0 37.602 * [backup-simplify]: Simplify 1 into 1 37.602 * [taylor]: Taking taylor expansion of PI in n 37.602 * [backup-simplify]: Simplify PI into PI 37.603 * [backup-simplify]: Simplify (* 0 PI) into 0 37.603 * [backup-simplify]: Simplify (* 2 0) into 0 37.604 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 37.605 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 37.605 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 37.605 * [backup-simplify]: Simplify (- k) into (- k) 37.605 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 37.605 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 37.606 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 37.607 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 37.608 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 37.608 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 37.608 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 37.608 * [taylor]: Taking taylor expansion of 1/2 in k 37.608 * [backup-simplify]: Simplify 1/2 into 1/2 37.608 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 37.608 * [taylor]: Taking taylor expansion of (- 1 k) in k 37.608 * [taylor]: Taking taylor expansion of 1 in k 37.608 * [backup-simplify]: Simplify 1 into 1 37.608 * [taylor]: Taking taylor expansion of k in k 37.608 * [backup-simplify]: Simplify 0 into 0 37.608 * [backup-simplify]: Simplify 1 into 1 37.608 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 37.608 * [taylor]: Taking taylor expansion of (log n) in k 37.608 * [taylor]: Taking taylor expansion of n in k 37.608 * [backup-simplify]: Simplify n into n 37.608 * [backup-simplify]: Simplify (log n) into (log n) 37.608 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 37.608 * [taylor]: Taking taylor expansion of (* 2 PI) in k 37.608 * [taylor]: Taking taylor expansion of 2 in k 37.608 * [backup-simplify]: Simplify 2 into 2 37.608 * [taylor]: Taking taylor expansion of PI in k 37.608 * [backup-simplify]: Simplify PI into PI 37.608 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 37.609 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 37.609 * [backup-simplify]: Simplify (- 0) into 0 37.609 * [backup-simplify]: Simplify (+ 1 0) into 1 37.610 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 37.611 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 37.611 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 37.612 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 37.613 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 37.613 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 37.614 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 37.615 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 37.615 * [backup-simplify]: Simplify (- 0) into 0 37.615 * [backup-simplify]: Simplify (+ 0 0) into 0 37.616 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 37.617 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 37.617 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 37.618 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 37.618 * [taylor]: Taking taylor expansion of 0 in k 37.618 * [backup-simplify]: Simplify 0 into 0 37.618 * [backup-simplify]: Simplify 0 into 0 37.619 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 37.619 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 37.620 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 37.621 * [backup-simplify]: Simplify (+ 0 0) into 0 37.621 * [backup-simplify]: Simplify (- 1) into -1 37.621 * [backup-simplify]: Simplify (+ 0 -1) into -1 37.622 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 37.623 * [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))))) 37.625 * [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))))))) 37.626 * [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))))))) 37.627 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 37.628 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 37.630 * [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 37.630 * [backup-simplify]: Simplify (- 0) into 0 37.630 * [backup-simplify]: Simplify (+ 0 0) into 0 37.631 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 37.632 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 37.633 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 37.635 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 37.635 * [taylor]: Taking taylor expansion of 0 in k 37.635 * [backup-simplify]: Simplify 0 into 0 37.635 * [backup-simplify]: Simplify 0 into 0 37.635 * [backup-simplify]: Simplify 0 into 0 37.637 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 37.638 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 37.641 * [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 37.642 * [backup-simplify]: Simplify (+ 0 0) into 0 37.642 * [backup-simplify]: Simplify (- 0) into 0 37.642 * [backup-simplify]: Simplify (+ 0 0) into 0 37.644 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 37.647 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 37.650 * [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))))) 37.655 * [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))))) 37.664 * [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))))) 37.667 * [backup-simplify]: Simplify (pow (* (* 2 PI) (/ 1 n)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) 37.667 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 37.667 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 37.667 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 37.668 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 37.668 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 37.668 * [taylor]: Taking taylor expansion of 1/2 in k 37.668 * [backup-simplify]: Simplify 1/2 into 1/2 37.668 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 37.668 * [taylor]: Taking taylor expansion of 1 in k 37.668 * [backup-simplify]: Simplify 1 into 1 37.668 * [taylor]: Taking taylor expansion of (/ 1 k) in k 37.668 * [taylor]: Taking taylor expansion of k in k 37.668 * [backup-simplify]: Simplify 0 into 0 37.668 * [backup-simplify]: Simplify 1 into 1 37.668 * [backup-simplify]: Simplify (/ 1 1) into 1 37.668 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 37.668 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 37.668 * [taylor]: Taking taylor expansion of 2 in k 37.669 * [backup-simplify]: Simplify 2 into 2 37.669 * [taylor]: Taking taylor expansion of (/ PI n) in k 37.669 * [taylor]: Taking taylor expansion of PI in k 37.669 * [backup-simplify]: Simplify PI into PI 37.669 * [taylor]: Taking taylor expansion of n in k 37.669 * [backup-simplify]: Simplify n into n 37.669 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 37.669 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 37.669 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 37.669 * [backup-simplify]: Simplify (- 1) into -1 37.670 * [backup-simplify]: Simplify (+ 0 -1) into -1 37.670 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 37.670 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 37.670 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 37.670 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 37.670 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 37.671 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 37.671 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 37.671 * [taylor]: Taking taylor expansion of 1/2 in n 37.671 * [backup-simplify]: Simplify 1/2 into 1/2 37.671 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 37.671 * [taylor]: Taking taylor expansion of 1 in n 37.671 * [backup-simplify]: Simplify 1 into 1 37.671 * [taylor]: Taking taylor expansion of (/ 1 k) in n 37.671 * [taylor]: Taking taylor expansion of k in n 37.671 * [backup-simplify]: Simplify k into k 37.671 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 37.671 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 37.671 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 37.671 * [taylor]: Taking taylor expansion of 2 in n 37.671 * [backup-simplify]: Simplify 2 into 2 37.671 * [taylor]: Taking taylor expansion of (/ PI n) in n 37.671 * [taylor]: Taking taylor expansion of PI in n 37.671 * [backup-simplify]: Simplify PI into PI 37.671 * [taylor]: Taking taylor expansion of n in n 37.671 * [backup-simplify]: Simplify 0 into 0 37.671 * [backup-simplify]: Simplify 1 into 1 37.672 * [backup-simplify]: Simplify (/ PI 1) into PI 37.672 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 37.673 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 37.673 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 37.673 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 37.673 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 37.675 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 37.676 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 37.677 * [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))))) 37.677 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 37.677 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 37.677 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 37.677 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 37.677 * [taylor]: Taking taylor expansion of 1/2 in n 37.677 * [backup-simplify]: Simplify 1/2 into 1/2 37.677 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 37.677 * [taylor]: Taking taylor expansion of 1 in n 37.677 * [backup-simplify]: Simplify 1 into 1 37.677 * [taylor]: Taking taylor expansion of (/ 1 k) in n 37.677 * [taylor]: Taking taylor expansion of k in n 37.677 * [backup-simplify]: Simplify k into k 37.677 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 37.677 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 37.677 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 37.678 * [taylor]: Taking taylor expansion of 2 in n 37.678 * [backup-simplify]: Simplify 2 into 2 37.678 * [taylor]: Taking taylor expansion of (/ PI n) in n 37.678 * [taylor]: Taking taylor expansion of PI in n 37.678 * [backup-simplify]: Simplify PI into PI 37.678 * [taylor]: Taking taylor expansion of n in n 37.678 * [backup-simplify]: Simplify 0 into 0 37.678 * [backup-simplify]: Simplify 1 into 1 37.678 * [backup-simplify]: Simplify (/ PI 1) into PI 37.679 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 37.680 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 37.680 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 37.680 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 37.680 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 37.682 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 37.683 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 37.684 * [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))))) 37.684 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 37.684 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 37.684 * [taylor]: Taking taylor expansion of 1/2 in k 37.684 * [backup-simplify]: Simplify 1/2 into 1/2 37.684 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 37.684 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 37.684 * [taylor]: Taking taylor expansion of 1 in k 37.684 * [backup-simplify]: Simplify 1 into 1 37.684 * [taylor]: Taking taylor expansion of (/ 1 k) in k 37.684 * [taylor]: Taking taylor expansion of k in k 37.684 * [backup-simplify]: Simplify 0 into 0 37.684 * [backup-simplify]: Simplify 1 into 1 37.684 * [backup-simplify]: Simplify (/ 1 1) into 1 37.685 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 37.685 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 37.685 * [taylor]: Taking taylor expansion of (* 2 PI) in k 37.685 * [taylor]: Taking taylor expansion of 2 in k 37.685 * [backup-simplify]: Simplify 2 into 2 37.685 * [taylor]: Taking taylor expansion of PI in k 37.685 * [backup-simplify]: Simplify PI into PI 37.685 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 37.686 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 37.686 * [taylor]: Taking taylor expansion of (log n) in k 37.686 * [taylor]: Taking taylor expansion of n in k 37.686 * [backup-simplify]: Simplify n into n 37.686 * [backup-simplify]: Simplify (log n) into (log n) 37.687 * [backup-simplify]: Simplify (- 1) into -1 37.687 * [backup-simplify]: Simplify (+ 0 -1) into -1 37.687 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 37.688 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 37.689 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 37.690 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 37.691 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 37.692 * [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))))) 37.693 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 37.694 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 37.696 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 37.696 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 37.697 * [backup-simplify]: Simplify (- 0) into 0 37.697 * [backup-simplify]: Simplify (+ 0 0) into 0 37.698 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 37.699 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 37.700 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 37.702 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 37.702 * [taylor]: Taking taylor expansion of 0 in k 37.702 * [backup-simplify]: Simplify 0 into 0 37.702 * [backup-simplify]: Simplify 0 into 0 37.702 * [backup-simplify]: Simplify 0 into 0 37.703 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.704 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 37.707 * [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 37.707 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 37.708 * [backup-simplify]: Simplify (- 0) into 0 37.708 * [backup-simplify]: Simplify (+ 0 0) into 0 37.709 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 37.710 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 37.712 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 37.714 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 37.714 * [taylor]: Taking taylor expansion of 0 in k 37.714 * [backup-simplify]: Simplify 0 into 0 37.714 * [backup-simplify]: Simplify 0 into 0 37.715 * [backup-simplify]: Simplify 0 into 0 37.715 * [backup-simplify]: Simplify 0 into 0 37.716 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.717 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 37.722 * [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 37.723 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 37.723 * [backup-simplify]: Simplify (- 0) into 0 37.724 * [backup-simplify]: Simplify (+ 0 0) into 0 37.725 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 37.726 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 37.728 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 37.731 * [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 37.731 * [taylor]: Taking taylor expansion of 0 in k 37.731 * [backup-simplify]: Simplify 0 into 0 37.731 * [backup-simplify]: Simplify 0 into 0 37.732 * [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)))))) 37.733 * [backup-simplify]: Simplify (pow (* (* 2 PI) (/ 1 (- n))) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) 37.733 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 37.733 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 37.733 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 37.733 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 37.733 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 37.733 * [taylor]: Taking taylor expansion of 1/2 in k 37.733 * [backup-simplify]: Simplify 1/2 into 1/2 37.733 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 37.733 * [taylor]: Taking taylor expansion of (/ 1 k) in k 37.733 * [taylor]: Taking taylor expansion of k in k 37.733 * [backup-simplify]: Simplify 0 into 0 37.733 * [backup-simplify]: Simplify 1 into 1 37.733 * [backup-simplify]: Simplify (/ 1 1) into 1 37.733 * [taylor]: Taking taylor expansion of 1 in k 37.733 * [backup-simplify]: Simplify 1 into 1 37.733 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 37.734 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 37.734 * [taylor]: Taking taylor expansion of -2 in k 37.734 * [backup-simplify]: Simplify -2 into -2 37.734 * [taylor]: Taking taylor expansion of (/ PI n) in k 37.734 * [taylor]: Taking taylor expansion of PI in k 37.734 * [backup-simplify]: Simplify PI into PI 37.734 * [taylor]: Taking taylor expansion of n in k 37.734 * [backup-simplify]: Simplify n into n 37.734 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 37.734 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 37.734 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 37.734 * [backup-simplify]: Simplify (+ 1 0) into 1 37.735 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 37.735 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 37.735 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 37.735 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 37.735 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 37.735 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 37.735 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 37.735 * [taylor]: Taking taylor expansion of 1/2 in n 37.735 * [backup-simplify]: Simplify 1/2 into 1/2 37.735 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 37.735 * [taylor]: Taking taylor expansion of (/ 1 k) in n 37.735 * [taylor]: Taking taylor expansion of k in n 37.735 * [backup-simplify]: Simplify k into k 37.735 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 37.735 * [taylor]: Taking taylor expansion of 1 in n 37.736 * [backup-simplify]: Simplify 1 into 1 37.736 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 37.736 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 37.736 * [taylor]: Taking taylor expansion of -2 in n 37.736 * [backup-simplify]: Simplify -2 into -2 37.736 * [taylor]: Taking taylor expansion of (/ PI n) in n 37.736 * [taylor]: Taking taylor expansion of PI in n 37.736 * [backup-simplify]: Simplify PI into PI 37.736 * [taylor]: Taking taylor expansion of n in n 37.736 * [backup-simplify]: Simplify 0 into 0 37.736 * [backup-simplify]: Simplify 1 into 1 37.736 * [backup-simplify]: Simplify (/ PI 1) into PI 37.737 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 37.738 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 37.738 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 37.738 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 37.739 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 37.740 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 37.741 * [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))))) 37.741 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 37.741 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 37.741 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 37.741 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 37.741 * [taylor]: Taking taylor expansion of 1/2 in n 37.741 * [backup-simplify]: Simplify 1/2 into 1/2 37.741 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 37.741 * [taylor]: Taking taylor expansion of (/ 1 k) in n 37.742 * [taylor]: Taking taylor expansion of k in n 37.742 * [backup-simplify]: Simplify k into k 37.742 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 37.742 * [taylor]: Taking taylor expansion of 1 in n 37.742 * [backup-simplify]: Simplify 1 into 1 37.742 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 37.742 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 37.742 * [taylor]: Taking taylor expansion of -2 in n 37.742 * [backup-simplify]: Simplify -2 into -2 37.742 * [taylor]: Taking taylor expansion of (/ PI n) in n 37.742 * [taylor]: Taking taylor expansion of PI in n 37.742 * [backup-simplify]: Simplify PI into PI 37.742 * [taylor]: Taking taylor expansion of n in n 37.742 * [backup-simplify]: Simplify 0 into 0 37.742 * [backup-simplify]: Simplify 1 into 1 37.742 * [backup-simplify]: Simplify (/ PI 1) into PI 37.743 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 37.744 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 37.744 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 37.744 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 37.745 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 37.746 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 37.747 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 37.747 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 37.747 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 37.747 * [taylor]: Taking taylor expansion of 1/2 in k 37.747 * [backup-simplify]: Simplify 1/2 into 1/2 37.747 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 37.747 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 37.747 * [taylor]: Taking taylor expansion of (/ 1 k) in k 37.747 * [taylor]: Taking taylor expansion of k in k 37.747 * [backup-simplify]: Simplify 0 into 0 37.747 * [backup-simplify]: Simplify 1 into 1 37.748 * [backup-simplify]: Simplify (/ 1 1) into 1 37.748 * [taylor]: Taking taylor expansion of 1 in k 37.748 * [backup-simplify]: Simplify 1 into 1 37.748 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 37.748 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 37.748 * [taylor]: Taking taylor expansion of (* -2 PI) in k 37.748 * [taylor]: Taking taylor expansion of -2 in k 37.748 * [backup-simplify]: Simplify -2 into -2 37.748 * [taylor]: Taking taylor expansion of PI in k 37.748 * [backup-simplify]: Simplify PI into PI 37.748 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 37.749 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 37.749 * [taylor]: Taking taylor expansion of (log n) in k 37.749 * [taylor]: Taking taylor expansion of n in k 37.749 * [backup-simplify]: Simplify n into n 37.749 * [backup-simplify]: Simplify (log n) into (log n) 37.749 * [backup-simplify]: Simplify (+ 1 0) into 1 37.749 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 37.750 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 37.750 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 37.751 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 37.752 * [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))))) 37.752 * [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))))) 37.753 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 37.753 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 37.754 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 37.754 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 37.754 * [backup-simplify]: Simplify (+ 0 0) into 0 37.755 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 37.756 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 37.757 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 37.758 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 37.758 * [taylor]: Taking taylor expansion of 0 in k 37.758 * [backup-simplify]: Simplify 0 into 0 37.758 * [backup-simplify]: Simplify 0 into 0 37.758 * [backup-simplify]: Simplify 0 into 0 37.758 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.759 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 37.761 * [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 37.761 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 37.761 * [backup-simplify]: Simplify (+ 0 0) into 0 37.762 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 37.762 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 37.763 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 37.765 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 37.765 * [taylor]: Taking taylor expansion of 0 in k 37.765 * [backup-simplify]: Simplify 0 into 0 37.765 * [backup-simplify]: Simplify 0 into 0 37.765 * [backup-simplify]: Simplify 0 into 0 37.765 * [backup-simplify]: Simplify 0 into 0 37.765 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.766 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 37.770 * [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 37.770 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 37.770 * [backup-simplify]: Simplify (+ 0 0) into 0 37.771 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 37.772 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 37.773 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 37.774 * [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 37.774 * [taylor]: Taking taylor expansion of 0 in k 37.774 * [backup-simplify]: Simplify 0 into 0 37.774 * [backup-simplify]: Simplify 0 into 0 37.775 * [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)))))) 37.775 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 37.776 * [backup-simplify]: Simplify (pow (* (* 2 PI) n) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) 37.776 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0 37.776 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 37.776 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 37.776 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 37.776 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 37.776 * [taylor]: Taking taylor expansion of 1/2 in k 37.776 * [backup-simplify]: Simplify 1/2 into 1/2 37.776 * [taylor]: Taking taylor expansion of (- 1 k) in k 37.776 * [taylor]: Taking taylor expansion of 1 in k 37.776 * [backup-simplify]: Simplify 1 into 1 37.776 * [taylor]: Taking taylor expansion of k in k 37.776 * [backup-simplify]: Simplify 0 into 0 37.776 * [backup-simplify]: Simplify 1 into 1 37.776 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 37.776 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 37.776 * [taylor]: Taking taylor expansion of 2 in k 37.776 * [backup-simplify]: Simplify 2 into 2 37.776 * [taylor]: Taking taylor expansion of (* n PI) in k 37.776 * [taylor]: Taking taylor expansion of n in k 37.776 * [backup-simplify]: Simplify n into n 37.776 * [taylor]: Taking taylor expansion of PI in k 37.776 * [backup-simplify]: Simplify PI into PI 37.776 * [backup-simplify]: Simplify (* n PI) into (* n PI) 37.776 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 37.776 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 37.776 * [backup-simplify]: Simplify (- 0) into 0 37.777 * [backup-simplify]: Simplify (+ 1 0) into 1 37.777 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 37.777 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 37.777 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 37.777 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 37.777 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 37.777 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 37.777 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 37.777 * [taylor]: Taking taylor expansion of 1/2 in n 37.777 * [backup-simplify]: Simplify 1/2 into 1/2 37.777 * [taylor]: Taking taylor expansion of (- 1 k) in n 37.777 * [taylor]: Taking taylor expansion of 1 in n 37.777 * [backup-simplify]: Simplify 1 into 1 37.777 * [taylor]: Taking taylor expansion of k in n 37.777 * [backup-simplify]: Simplify k into k 37.777 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 37.777 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 37.777 * [taylor]: Taking taylor expansion of 2 in n 37.777 * [backup-simplify]: Simplify 2 into 2 37.777 * [taylor]: Taking taylor expansion of (* n PI) in n 37.777 * [taylor]: Taking taylor expansion of n in n 37.777 * [backup-simplify]: Simplify 0 into 0 37.777 * [backup-simplify]: Simplify 1 into 1 37.777 * [taylor]: Taking taylor expansion of PI in n 37.777 * [backup-simplify]: Simplify PI into PI 37.778 * [backup-simplify]: Simplify (* 0 PI) into 0 37.778 * [backup-simplify]: Simplify (* 2 0) into 0 37.779 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 37.780 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 37.780 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 37.780 * [backup-simplify]: Simplify (- k) into (- k) 37.780 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 37.780 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 37.781 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 37.782 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 37.782 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 37.782 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 37.782 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 37.782 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 37.782 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 37.783 * [taylor]: Taking taylor expansion of 1/2 in n 37.783 * [backup-simplify]: Simplify 1/2 into 1/2 37.783 * [taylor]: Taking taylor expansion of (- 1 k) in n 37.783 * [taylor]: Taking taylor expansion of 1 in n 37.783 * [backup-simplify]: Simplify 1 into 1 37.783 * [taylor]: Taking taylor expansion of k in n 37.783 * [backup-simplify]: Simplify k into k 37.783 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 37.783 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 37.783 * [taylor]: Taking taylor expansion of 2 in n 37.783 * [backup-simplify]: Simplify 2 into 2 37.783 * [taylor]: Taking taylor expansion of (* n PI) in n 37.783 * [taylor]: Taking taylor expansion of n in n 37.783 * [backup-simplify]: Simplify 0 into 0 37.783 * [backup-simplify]: Simplify 1 into 1 37.783 * [taylor]: Taking taylor expansion of PI in n 37.783 * [backup-simplify]: Simplify PI into PI 37.784 * [backup-simplify]: Simplify (* 0 PI) into 0 37.785 * [backup-simplify]: Simplify (* 2 0) into 0 37.786 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 37.787 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 37.787 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 37.787 * [backup-simplify]: Simplify (- k) into (- k) 37.787 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 37.787 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 37.788 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 37.789 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 37.789 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 37.789 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 37.790 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 37.790 * [taylor]: Taking taylor expansion of 1/2 in k 37.790 * [backup-simplify]: Simplify 1/2 into 1/2 37.790 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 37.790 * [taylor]: Taking taylor expansion of (- 1 k) in k 37.790 * [taylor]: Taking taylor expansion of 1 in k 37.790 * [backup-simplify]: Simplify 1 into 1 37.790 * [taylor]: Taking taylor expansion of k in k 37.790 * [backup-simplify]: Simplify 0 into 0 37.790 * [backup-simplify]: Simplify 1 into 1 37.790 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 37.790 * [taylor]: Taking taylor expansion of (log n) in k 37.790 * [taylor]: Taking taylor expansion of n in k 37.790 * [backup-simplify]: Simplify n into n 37.790 * [backup-simplify]: Simplify (log n) into (log n) 37.790 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 37.790 * [taylor]: Taking taylor expansion of (* 2 PI) in k 37.790 * [taylor]: Taking taylor expansion of 2 in k 37.790 * [backup-simplify]: Simplify 2 into 2 37.790 * [taylor]: Taking taylor expansion of PI in k 37.790 * [backup-simplify]: Simplify PI into PI 37.790 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 37.791 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 37.791 * [backup-simplify]: Simplify (- 0) into 0 37.791 * [backup-simplify]: Simplify (+ 1 0) into 1 37.792 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 37.792 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 37.793 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 37.794 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 37.794 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 37.795 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 37.795 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 37.796 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 37.796 * [backup-simplify]: Simplify (- 0) into 0 37.797 * [backup-simplify]: Simplify (+ 0 0) into 0 37.797 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 37.798 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 37.798 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 37.800 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 37.800 * [taylor]: Taking taylor expansion of 0 in k 37.800 * [backup-simplify]: Simplify 0 into 0 37.800 * [backup-simplify]: Simplify 0 into 0 37.801 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 37.801 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 37.803 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 37.804 * [backup-simplify]: Simplify (+ 0 0) into 0 37.804 * [backup-simplify]: Simplify (- 1) into -1 37.804 * [backup-simplify]: Simplify (+ 0 -1) into -1 37.807 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 37.809 * [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))))) 37.811 * [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))))))) 37.813 * [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))))))) 37.814 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 37.815 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 37.816 * [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 37.817 * [backup-simplify]: Simplify (- 0) into 0 37.817 * [backup-simplify]: Simplify (+ 0 0) into 0 37.817 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 37.818 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 37.819 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 37.821 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 37.821 * [taylor]: Taking taylor expansion of 0 in k 37.821 * [backup-simplify]: Simplify 0 into 0 37.821 * [backup-simplify]: Simplify 0 into 0 37.821 * [backup-simplify]: Simplify 0 into 0 37.822 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 37.822 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 37.824 * [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 37.825 * [backup-simplify]: Simplify (+ 0 0) into 0 37.825 * [backup-simplify]: Simplify (- 0) into 0 37.826 * [backup-simplify]: Simplify (+ 0 0) into 0 37.827 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 37.829 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 37.831 * [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))))) 37.834 * [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))))) 37.840 * [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))))) 37.840 * [backup-simplify]: Simplify (pow (* (* 2 PI) (/ 1 n)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) 37.840 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 37.840 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 37.840 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 37.840 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 37.840 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 37.840 * [taylor]: Taking taylor expansion of 1/2 in k 37.840 * [backup-simplify]: Simplify 1/2 into 1/2 37.840 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 37.840 * [taylor]: Taking taylor expansion of 1 in k 37.840 * [backup-simplify]: Simplify 1 into 1 37.840 * [taylor]: Taking taylor expansion of (/ 1 k) in k 37.840 * [taylor]: Taking taylor expansion of k in k 37.840 * [backup-simplify]: Simplify 0 into 0 37.840 * [backup-simplify]: Simplify 1 into 1 37.841 * [backup-simplify]: Simplify (/ 1 1) into 1 37.841 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 37.841 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 37.841 * [taylor]: Taking taylor expansion of 2 in k 37.841 * [backup-simplify]: Simplify 2 into 2 37.841 * [taylor]: Taking taylor expansion of (/ PI n) in k 37.841 * [taylor]: Taking taylor expansion of PI in k 37.841 * [backup-simplify]: Simplify PI into PI 37.841 * [taylor]: Taking taylor expansion of n in k 37.841 * [backup-simplify]: Simplify n into n 37.841 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 37.841 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 37.841 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 37.841 * [backup-simplify]: Simplify (- 1) into -1 37.841 * [backup-simplify]: Simplify (+ 0 -1) into -1 37.842 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 37.842 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 37.842 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 37.842 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 37.842 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 37.842 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 37.842 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 37.842 * [taylor]: Taking taylor expansion of 1/2 in n 37.842 * [backup-simplify]: Simplify 1/2 into 1/2 37.842 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 37.842 * [taylor]: Taking taylor expansion of 1 in n 37.842 * [backup-simplify]: Simplify 1 into 1 37.842 * [taylor]: Taking taylor expansion of (/ 1 k) in n 37.842 * [taylor]: Taking taylor expansion of k in n 37.842 * [backup-simplify]: Simplify k into k 37.842 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 37.842 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 37.842 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 37.842 * [taylor]: Taking taylor expansion of 2 in n 37.842 * [backup-simplify]: Simplify 2 into 2 37.842 * [taylor]: Taking taylor expansion of (/ PI n) in n 37.842 * [taylor]: Taking taylor expansion of PI in n 37.842 * [backup-simplify]: Simplify PI into PI 37.842 * [taylor]: Taking taylor expansion of n in n 37.842 * [backup-simplify]: Simplify 0 into 0 37.842 * [backup-simplify]: Simplify 1 into 1 37.842 * [backup-simplify]: Simplify (/ PI 1) into PI 37.843 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 37.843 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 37.843 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 37.843 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 37.843 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 37.844 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 37.845 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 37.846 * [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))))) 37.846 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 37.846 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 37.846 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 37.846 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 37.846 * [taylor]: Taking taylor expansion of 1/2 in n 37.846 * [backup-simplify]: Simplify 1/2 into 1/2 37.846 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 37.846 * [taylor]: Taking taylor expansion of 1 in n 37.846 * [backup-simplify]: Simplify 1 into 1 37.846 * [taylor]: Taking taylor expansion of (/ 1 k) in n 37.846 * [taylor]: Taking taylor expansion of k in n 37.846 * [backup-simplify]: Simplify k into k 37.846 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 37.846 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 37.846 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 37.846 * [taylor]: Taking taylor expansion of 2 in n 37.846 * [backup-simplify]: Simplify 2 into 2 37.846 * [taylor]: Taking taylor expansion of (/ PI n) in n 37.846 * [taylor]: Taking taylor expansion of PI in n 37.846 * [backup-simplify]: Simplify PI into PI 37.846 * [taylor]: Taking taylor expansion of n in n 37.846 * [backup-simplify]: Simplify 0 into 0 37.846 * [backup-simplify]: Simplify 1 into 1 37.846 * [backup-simplify]: Simplify (/ PI 1) into PI 37.847 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 37.847 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 37.847 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 37.847 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 37.847 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 37.848 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 37.849 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 37.849 * [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))))) 37.849 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 37.850 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 37.850 * [taylor]: Taking taylor expansion of 1/2 in k 37.850 * [backup-simplify]: Simplify 1/2 into 1/2 37.850 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 37.850 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 37.850 * [taylor]: Taking taylor expansion of 1 in k 37.850 * [backup-simplify]: Simplify 1 into 1 37.850 * [taylor]: Taking taylor expansion of (/ 1 k) in k 37.850 * [taylor]: Taking taylor expansion of k in k 37.850 * [backup-simplify]: Simplify 0 into 0 37.850 * [backup-simplify]: Simplify 1 into 1 37.850 * [backup-simplify]: Simplify (/ 1 1) into 1 37.850 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 37.850 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 37.850 * [taylor]: Taking taylor expansion of (* 2 PI) in k 37.850 * [taylor]: Taking taylor expansion of 2 in k 37.850 * [backup-simplify]: Simplify 2 into 2 37.850 * [taylor]: Taking taylor expansion of PI in k 37.850 * [backup-simplify]: Simplify PI into PI 37.850 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 37.851 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 37.851 * [taylor]: Taking taylor expansion of (log n) in k 37.851 * [taylor]: Taking taylor expansion of n in k 37.851 * [backup-simplify]: Simplify n into n 37.851 * [backup-simplify]: Simplify (log n) into (log n) 37.851 * [backup-simplify]: Simplify (- 1) into -1 37.851 * [backup-simplify]: Simplify (+ 0 -1) into -1 37.851 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 37.852 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 37.853 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 37.853 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 37.854 * [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))))) 37.855 * [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))))) 37.855 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 37.856 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 37.857 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 37.857 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 37.857 * [backup-simplify]: Simplify (- 0) into 0 37.857 * [backup-simplify]: Simplify (+ 0 0) into 0 37.857 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 37.858 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 37.859 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 37.861 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 37.861 * [taylor]: Taking taylor expansion of 0 in k 37.861 * [backup-simplify]: Simplify 0 into 0 37.861 * [backup-simplify]: Simplify 0 into 0 37.861 * [backup-simplify]: Simplify 0 into 0 37.862 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.863 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 37.867 * [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 37.867 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 37.867 * [backup-simplify]: Simplify (- 0) into 0 37.868 * [backup-simplify]: Simplify (+ 0 0) into 0 37.869 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 37.870 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 37.872 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 37.874 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 37.874 * [taylor]: Taking taylor expansion of 0 in k 37.874 * [backup-simplify]: Simplify 0 into 0 37.874 * [backup-simplify]: Simplify 0 into 0 37.874 * [backup-simplify]: Simplify 0 into 0 37.874 * [backup-simplify]: Simplify 0 into 0 37.876 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.877 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 37.883 * [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 37.883 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 37.884 * [backup-simplify]: Simplify (- 0) into 0 37.886 * [backup-simplify]: Simplify (+ 0 0) into 0 37.888 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 37.889 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 37.891 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 37.894 * [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 37.894 * [taylor]: Taking taylor expansion of 0 in k 37.894 * [backup-simplify]: Simplify 0 into 0 37.894 * [backup-simplify]: Simplify 0 into 0 37.896 * [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)))))) 37.896 * [backup-simplify]: Simplify (pow (* (* 2 PI) (/ 1 (- n))) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) 37.896 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 37.896 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 37.896 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 37.897 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 37.897 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 37.897 * [taylor]: Taking taylor expansion of 1/2 in k 37.897 * [backup-simplify]: Simplify 1/2 into 1/2 37.897 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 37.897 * [taylor]: Taking taylor expansion of (/ 1 k) in k 37.897 * [taylor]: Taking taylor expansion of k in k 37.897 * [backup-simplify]: Simplify 0 into 0 37.897 * [backup-simplify]: Simplify 1 into 1 37.897 * [backup-simplify]: Simplify (/ 1 1) into 1 37.897 * [taylor]: Taking taylor expansion of 1 in k 37.897 * [backup-simplify]: Simplify 1 into 1 37.897 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 37.897 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 37.897 * [taylor]: Taking taylor expansion of -2 in k 37.897 * [backup-simplify]: Simplify -2 into -2 37.897 * [taylor]: Taking taylor expansion of (/ PI n) in k 37.897 * [taylor]: Taking taylor expansion of PI in k 37.897 * [backup-simplify]: Simplify PI into PI 37.897 * [taylor]: Taking taylor expansion of n in k 37.897 * [backup-simplify]: Simplify n into n 37.898 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 37.898 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 37.898 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 37.898 * [backup-simplify]: Simplify (+ 1 0) into 1 37.899 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 37.899 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 37.899 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 37.899 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 37.899 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 37.899 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 37.899 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 37.899 * [taylor]: Taking taylor expansion of 1/2 in n 37.899 * [backup-simplify]: Simplify 1/2 into 1/2 37.899 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 37.899 * [taylor]: Taking taylor expansion of (/ 1 k) in n 37.899 * [taylor]: Taking taylor expansion of k in n 37.899 * [backup-simplify]: Simplify k into k 37.899 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 37.899 * [taylor]: Taking taylor expansion of 1 in n 37.899 * [backup-simplify]: Simplify 1 into 1 37.899 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 37.899 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 37.899 * [taylor]: Taking taylor expansion of -2 in n 37.899 * [backup-simplify]: Simplify -2 into -2 37.899 * [taylor]: Taking taylor expansion of (/ PI n) in n 37.900 * [taylor]: Taking taylor expansion of PI in n 37.900 * [backup-simplify]: Simplify PI into PI 37.900 * [taylor]: Taking taylor expansion of n in n 37.900 * [backup-simplify]: Simplify 0 into 0 37.900 * [backup-simplify]: Simplify 1 into 1 37.900 * [backup-simplify]: Simplify (/ PI 1) into PI 37.901 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 37.902 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 37.902 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 37.902 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 37.903 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 37.904 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 37.905 * [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))))) 37.906 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 37.906 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 37.906 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 37.906 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 37.906 * [taylor]: Taking taylor expansion of 1/2 in n 37.906 * [backup-simplify]: Simplify 1/2 into 1/2 37.906 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 37.906 * [taylor]: Taking taylor expansion of (/ 1 k) in n 37.906 * [taylor]: Taking taylor expansion of k in n 37.906 * [backup-simplify]: Simplify k into k 37.906 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 37.906 * [taylor]: Taking taylor expansion of 1 in n 37.906 * [backup-simplify]: Simplify 1 into 1 37.906 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 37.906 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 37.906 * [taylor]: Taking taylor expansion of -2 in n 37.906 * [backup-simplify]: Simplify -2 into -2 37.906 * [taylor]: Taking taylor expansion of (/ PI n) in n 37.906 * [taylor]: Taking taylor expansion of PI in n 37.906 * [backup-simplify]: Simplify PI into PI 37.906 * [taylor]: Taking taylor expansion of n in n 37.906 * [backup-simplify]: Simplify 0 into 0 37.906 * [backup-simplify]: Simplify 1 into 1 37.907 * [backup-simplify]: Simplify (/ PI 1) into PI 37.907 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 37.908 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 37.908 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 37.908 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 37.910 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 37.911 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 37.912 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 37.912 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 37.912 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 37.912 * [taylor]: Taking taylor expansion of 1/2 in k 37.912 * [backup-simplify]: Simplify 1/2 into 1/2 37.912 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 37.912 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 37.912 * [taylor]: Taking taylor expansion of (/ 1 k) in k 37.912 * [taylor]: Taking taylor expansion of k in k 37.912 * [backup-simplify]: Simplify 0 into 0 37.912 * [backup-simplify]: Simplify 1 into 1 37.913 * [backup-simplify]: Simplify (/ 1 1) into 1 37.913 * [taylor]: Taking taylor expansion of 1 in k 37.913 * [backup-simplify]: Simplify 1 into 1 37.913 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 37.913 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 37.913 * [taylor]: Taking taylor expansion of (* -2 PI) in k 37.913 * [taylor]: Taking taylor expansion of -2 in k 37.913 * [backup-simplify]: Simplify -2 into -2 37.913 * [taylor]: Taking taylor expansion of PI in k 37.913 * [backup-simplify]: Simplify PI into PI 37.914 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 37.915 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 37.915 * [taylor]: Taking taylor expansion of (log n) in k 37.915 * [taylor]: Taking taylor expansion of n in k 37.915 * [backup-simplify]: Simplify n into n 37.915 * [backup-simplify]: Simplify (log n) into (log n) 37.915 * [backup-simplify]: Simplify (+ 1 0) into 1 37.915 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 37.916 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 37.917 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 37.918 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 37.919 * [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))))) 37.920 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 37.921 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 37.921 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 37.922 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 37.922 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 37.922 * [backup-simplify]: Simplify (+ 0 0) into 0 37.923 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 37.923 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 37.924 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 37.925 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 37.925 * [taylor]: Taking taylor expansion of 0 in k 37.925 * [backup-simplify]: Simplify 0 into 0 37.925 * [backup-simplify]: Simplify 0 into 0 37.925 * [backup-simplify]: Simplify 0 into 0 37.926 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.927 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 37.929 * [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 37.929 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 37.929 * [backup-simplify]: Simplify (+ 0 0) into 0 37.930 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 37.931 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 37.931 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 37.933 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 37.933 * [taylor]: Taking taylor expansion of 0 in k 37.933 * [backup-simplify]: Simplify 0 into 0 37.933 * [backup-simplify]: Simplify 0 into 0 37.933 * [backup-simplify]: Simplify 0 into 0 37.933 * [backup-simplify]: Simplify 0 into 0 37.934 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.934 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 37.937 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 PI) 1)))) 6) into 0 37.937 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 37.938 * [backup-simplify]: Simplify (+ 0 0) into 0 37.938 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 37.939 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 37.940 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 37.942 * [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 37.942 * [taylor]: Taking taylor expansion of 0 in k 37.942 * [backup-simplify]: Simplify 0 into 0 37.942 * [backup-simplify]: Simplify 0 into 0 37.943 * [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)))))) 37.943 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1) 37.943 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 37.943 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 37.943 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 37.943 * [taylor]: Taking taylor expansion of 2 in n 37.943 * [backup-simplify]: Simplify 2 into 2 37.943 * [taylor]: Taking taylor expansion of (* n PI) in n 37.943 * [taylor]: Taking taylor expansion of n in n 37.943 * [backup-simplify]: Simplify 0 into 0 37.943 * [backup-simplify]: Simplify 1 into 1 37.943 * [taylor]: Taking taylor expansion of PI in n 37.943 * [backup-simplify]: Simplify PI into PI 37.943 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 37.943 * [taylor]: Taking taylor expansion of 2 in n 37.943 * [backup-simplify]: Simplify 2 into 2 37.943 * [taylor]: Taking taylor expansion of (* n PI) in n 37.943 * [taylor]: Taking taylor expansion of n in n 37.943 * [backup-simplify]: Simplify 0 into 0 37.943 * [backup-simplify]: Simplify 1 into 1 37.943 * [taylor]: Taking taylor expansion of PI in n 37.943 * [backup-simplify]: Simplify PI into PI 37.944 * [backup-simplify]: Simplify (* 0 PI) into 0 37.944 * [backup-simplify]: Simplify (* 2 0) into 0 37.944 * [backup-simplify]: Simplify 0 into 0 37.945 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 37.946 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 37.946 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 37.947 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 37.947 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 37.947 * [backup-simplify]: Simplify 0 into 0 37.948 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 37.949 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 37.949 * [backup-simplify]: Simplify 0 into 0 37.951 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 37.952 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 37.952 * [backup-simplify]: Simplify 0 into 0 37.954 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 37.955 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 37.955 * [backup-simplify]: Simplify 0 into 0 37.957 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 37.959 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 37.959 * [backup-simplify]: Simplify 0 into 0 37.961 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 37.962 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 37.962 * [backup-simplify]: Simplify 0 into 0 37.963 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 37.964 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 n)) into (* 2 (/ PI n)) 37.964 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 37.964 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 37.964 * [taylor]: Taking taylor expansion of 2 in n 37.964 * [backup-simplify]: Simplify 2 into 2 37.964 * [taylor]: Taking taylor expansion of (/ PI n) in n 37.964 * [taylor]: Taking taylor expansion of PI in n 37.964 * [backup-simplify]: Simplify PI into PI 37.964 * [taylor]: Taking taylor expansion of n in n 37.964 * [backup-simplify]: Simplify 0 into 0 37.964 * [backup-simplify]: Simplify 1 into 1 37.964 * [backup-simplify]: Simplify (/ PI 1) into PI 37.964 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 37.964 * [taylor]: Taking taylor expansion of 2 in n 37.964 * [backup-simplify]: Simplify 2 into 2 37.964 * [taylor]: Taking taylor expansion of (/ PI n) in n 37.964 * [taylor]: Taking taylor expansion of PI in n 37.964 * [backup-simplify]: Simplify PI into PI 37.965 * [taylor]: Taking taylor expansion of n in n 37.965 * [backup-simplify]: Simplify 0 into 0 37.965 * [backup-simplify]: Simplify 1 into 1 37.965 * [backup-simplify]: Simplify (/ PI 1) into PI 37.966 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 37.966 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 37.967 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 37.968 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 37.968 * [backup-simplify]: Simplify 0 into 0 37.969 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.970 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 37.970 * [backup-simplify]: Simplify 0 into 0 37.971 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.972 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 37.972 * [backup-simplify]: Simplify 0 into 0 37.973 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.974 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 37.975 * [backup-simplify]: Simplify 0 into 0 37.976 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.977 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 37.977 * [backup-simplify]: Simplify 0 into 0 37.978 * [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 37.980 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 37.980 * [backup-simplify]: Simplify 0 into 0 37.981 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 37.981 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (- n))) into (* -2 (/ PI n)) 37.981 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 37.981 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 37.981 * [taylor]: Taking taylor expansion of -2 in n 37.981 * [backup-simplify]: Simplify -2 into -2 37.981 * [taylor]: Taking taylor expansion of (/ PI n) in n 37.982 * [taylor]: Taking taylor expansion of PI in n 37.982 * [backup-simplify]: Simplify PI into PI 37.982 * [taylor]: Taking taylor expansion of n in n 37.982 * [backup-simplify]: Simplify 0 into 0 37.982 * [backup-simplify]: Simplify 1 into 1 37.982 * [backup-simplify]: Simplify (/ PI 1) into PI 37.982 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 37.982 * [taylor]: Taking taylor expansion of -2 in n 37.982 * [backup-simplify]: Simplify -2 into -2 37.982 * [taylor]: Taking taylor expansion of (/ PI n) in n 37.982 * [taylor]: Taking taylor expansion of PI in n 37.982 * [backup-simplify]: Simplify PI into PI 37.982 * [taylor]: Taking taylor expansion of n in n 37.982 * [backup-simplify]: Simplify 0 into 0 37.982 * [backup-simplify]: Simplify 1 into 1 37.983 * [backup-simplify]: Simplify (/ PI 1) into PI 37.983 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 37.984 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 37.985 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 37.985 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 37.985 * [backup-simplify]: Simplify 0 into 0 37.986 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.987 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 37.987 * [backup-simplify]: Simplify 0 into 0 37.988 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.989 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 37.990 * [backup-simplify]: Simplify 0 into 0 37.991 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.992 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 37.992 * [backup-simplify]: Simplify 0 into 0 37.993 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.994 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 37.994 * [backup-simplify]: Simplify 0 into 0 37.995 * [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 37.997 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 37.997 * [backup-simplify]: Simplify 0 into 0 37.998 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 37.998 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 1) 37.998 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 37.998 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 37.998 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 37.998 * [taylor]: Taking taylor expansion of 2 in n 37.998 * [backup-simplify]: Simplify 2 into 2 37.998 * [taylor]: Taking taylor expansion of (* n PI) in n 37.998 * [taylor]: Taking taylor expansion of n in n 37.998 * [backup-simplify]: Simplify 0 into 0 37.998 * [backup-simplify]: Simplify 1 into 1 37.998 * [taylor]: Taking taylor expansion of PI in n 37.998 * [backup-simplify]: Simplify PI into PI 37.998 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 37.998 * [taylor]: Taking taylor expansion of 2 in n 37.998 * [backup-simplify]: Simplify 2 into 2 37.998 * [taylor]: Taking taylor expansion of (* n PI) in n 37.998 * [taylor]: Taking taylor expansion of n in n 37.999 * [backup-simplify]: Simplify 0 into 0 37.999 * [backup-simplify]: Simplify 1 into 1 37.999 * [taylor]: Taking taylor expansion of PI in n 37.999 * [backup-simplify]: Simplify PI into PI 37.999 * [backup-simplify]: Simplify (* 0 PI) into 0 37.999 * [backup-simplify]: Simplify (* 2 0) into 0 38.000 * [backup-simplify]: Simplify 0 into 0 38.001 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 38.002 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 38.003 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 38.004 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 38.005 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 38.005 * [backup-simplify]: Simplify 0 into 0 38.006 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 38.007 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 38.007 * [backup-simplify]: Simplify 0 into 0 38.008 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 38.010 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 38.010 * [backup-simplify]: Simplify 0 into 0 38.013 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 38.015 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 38.015 * [backup-simplify]: Simplify 0 into 0 38.016 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 38.018 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 38.018 * [backup-simplify]: Simplify 0 into 0 38.020 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 38.022 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 38.022 * [backup-simplify]: Simplify 0 into 0 38.022 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 38.023 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 n)) into (* 2 (/ PI n)) 38.023 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 38.023 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 38.023 * [taylor]: Taking taylor expansion of 2 in n 38.023 * [backup-simplify]: Simplify 2 into 2 38.023 * [taylor]: Taking taylor expansion of (/ PI n) in n 38.023 * [taylor]: Taking taylor expansion of PI in n 38.023 * [backup-simplify]: Simplify PI into PI 38.023 * [taylor]: Taking taylor expansion of n in n 38.023 * [backup-simplify]: Simplify 0 into 0 38.023 * [backup-simplify]: Simplify 1 into 1 38.024 * [backup-simplify]: Simplify (/ PI 1) into PI 38.024 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 38.024 * [taylor]: Taking taylor expansion of 2 in n 38.024 * [backup-simplify]: Simplify 2 into 2 38.024 * [taylor]: Taking taylor expansion of (/ PI n) in n 38.024 * [taylor]: Taking taylor expansion of PI in n 38.024 * [backup-simplify]: Simplify PI into PI 38.024 * [taylor]: Taking taylor expansion of n in n 38.024 * [backup-simplify]: Simplify 0 into 0 38.024 * [backup-simplify]: Simplify 1 into 1 38.024 * [backup-simplify]: Simplify (/ PI 1) into PI 38.025 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 38.025 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 38.026 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 38.027 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 38.027 * [backup-simplify]: Simplify 0 into 0 38.028 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 38.029 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 38.029 * [backup-simplify]: Simplify 0 into 0 38.030 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 38.031 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 38.031 * [backup-simplify]: Simplify 0 into 0 38.032 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 38.033 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 38.033 * [backup-simplify]: Simplify 0 into 0 38.034 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 38.036 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 38.036 * [backup-simplify]: Simplify 0 into 0 38.038 * [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 38.040 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 38.040 * [backup-simplify]: Simplify 0 into 0 38.041 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 38.041 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (- n))) into (* -2 (/ PI n)) 38.042 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 38.042 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 38.042 * [taylor]: Taking taylor expansion of -2 in n 38.042 * [backup-simplify]: Simplify -2 into -2 38.042 * [taylor]: Taking taylor expansion of (/ PI n) in n 38.042 * [taylor]: Taking taylor expansion of PI in n 38.042 * [backup-simplify]: Simplify PI into PI 38.042 * [taylor]: Taking taylor expansion of n in n 38.042 * [backup-simplify]: Simplify 0 into 0 38.042 * [backup-simplify]: Simplify 1 into 1 38.042 * [backup-simplify]: Simplify (/ PI 1) into PI 38.042 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 38.042 * [taylor]: Taking taylor expansion of -2 in n 38.042 * [backup-simplify]: Simplify -2 into -2 38.042 * [taylor]: Taking taylor expansion of (/ PI n) in n 38.042 * [taylor]: Taking taylor expansion of PI in n 38.042 * [backup-simplify]: Simplify PI into PI 38.043 * [taylor]: Taking taylor expansion of n in n 38.043 * [backup-simplify]: Simplify 0 into 0 38.043 * [backup-simplify]: Simplify 1 into 1 38.043 * [backup-simplify]: Simplify (/ PI 1) into PI 38.044 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 38.044 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 38.045 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 38.046 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 38.046 * [backup-simplify]: Simplify 0 into 0 38.047 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 38.048 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 38.048 * [backup-simplify]: Simplify 0 into 0 38.049 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 38.050 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 38.050 * [backup-simplify]: Simplify 0 into 0 38.051 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 38.052 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 38.053 * [backup-simplify]: Simplify 0 into 0 38.054 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 38.055 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 38.055 * [backup-simplify]: Simplify 0 into 0 38.056 * [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 38.058 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 38.058 * [backup-simplify]: Simplify 0 into 0 38.059 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 38.059 * * * [progress]: simplifying candidates 38.059 * * * * [progress]: [ 1 / 130 ] simplifiying candidate # 38.059 * [simplify]: Simplifying (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)) 38.059 * * [simplify]: iters left: 6 (13 enodes) 38.067 * * [simplify]: iters left: 5 (54 enodes) 38.084 * * [simplify]: iters left: 4 (97 enodes) 38.119 * * [simplify]: iters left: 3 (246 enodes) 38.190 * * [simplify]: Extracting #0: cost 1 inf + 0 38.190 * * [simplify]: Extracting #1: cost 28 inf + 0 38.191 * * [simplify]: Extracting #2: cost 93 inf + 2 38.191 * * [simplify]: Extracting #3: cost 138 inf + 186 38.192 * * [simplify]: Extracting #4: cost 108 inf + 3370 38.195 * * [simplify]: Extracting #5: cost 33 inf + 22278 38.201 * * [simplify]: Extracting #6: cost 2 inf + 32881 38.208 * * [simplify]: Extracting #7: cost 0 inf + 33789 38.215 * [simplify]: Simplified to (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2) 38.215 * [simplify]: Simplified (2 2 1 2 1) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (exp (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2)))))) 38.215 * * * * [progress]: [ 2 / 130 ] simplifiying candidate # 38.215 * [simplify]: Simplifying (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)) 38.215 * * [simplify]: iters left: 6 (12 enodes) 38.222 * * [simplify]: iters left: 5 (52 enodes) 38.233 * * [simplify]: iters left: 4 (90 enodes) 38.265 * * [simplify]: iters left: 3 (201 enodes) 38.358 * * [simplify]: iters left: 2 (496 enodes) 38.655 * * [simplify]: Extracting #0: cost 1 inf + 0 38.656 * * [simplify]: Extracting #1: cost 22 inf + 0 38.656 * * [simplify]: Extracting #2: cost 123 inf + 2 38.658 * * [simplify]: Extracting #3: cost 296 inf + 186 38.663 * * [simplify]: Extracting #4: cost 244 inf + 9812 38.679 * * [simplify]: Extracting #5: cost 93 inf + 50654 38.712 * * [simplify]: Extracting #6: cost 0 inf + 82473 38.750 * * [simplify]: Extracting #7: cost 0 inf + 82467 38.772 * [simplify]: Simplified to (/ (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)) 2) 38.772 * [simplify]: Simplified (2 2 1 2 1) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (exp (/ (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)) 2)))))) 38.772 * * * * [progress]: [ 3 / 130 ] simplifiying candidate # 38.772 * [simplify]: Simplifying (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)) 38.772 * * [simplify]: iters left: 6 (11 enodes) 38.776 * * [simplify]: iters left: 5 (51 enodes) 38.784 * * [simplify]: iters left: 4 (97 enodes) 38.805 * * [simplify]: iters left: 3 (198 enodes) 38.890 * * [simplify]: iters left: 2 (492 enodes) 39.215 * * [simplify]: Extracting #0: cost 1 inf + 0 39.215 * * [simplify]: Extracting #1: cost 27 inf + 0 39.216 * * [simplify]: Extracting #2: cost 138 inf + 2 39.218 * * [simplify]: Extracting #3: cost 300 inf + 352 39.222 * * [simplify]: Extracting #4: cost 251 inf + 8938 39.239 * * [simplify]: Extracting #5: cost 48 inf + 62855 39.255 * * [simplify]: Extracting #6: cost 0 inf + 74672 39.270 * * [simplify]: Extracting #7: cost 0 inf + 74341 39.288 * [simplify]: Simplified to (/ (- (log (* (* 2 PI) n)) (* k (log (* (* 2 PI) n)))) 2) 39.288 * [simplify]: Simplified (2 2 1 2 1) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (exp (/ (- (log (* (* 2 PI) n)) (* k (log (* (* 2 PI) n)))) 2)))))) 39.289 * * * * [progress]: [ 4 / 130 ] simplifiying candidate # 39.289 * * * * [progress]: [ 5 / 130 ] simplifiying candidate # 39.289 * [simplify]: Simplifying (* (* 2 PI) n) 39.289 * * [simplify]: iters left: 4 (5 enodes) 39.295 * * [simplify]: iters left: 3 (19 enodes) 39.302 * * [simplify]: iters left: 2 (27 enodes) 39.310 * * [simplify]: iters left: 1 (32 enodes) 39.318 * * [simplify]: Extracting #0: cost 1 inf + 0 39.318 * * [simplify]: Extracting #1: cost 8 inf + 0 39.318 * * [simplify]: Extracting #2: cost 7 inf + 45 39.318 * * [simplify]: Extracting #3: cost 0 inf + 421 39.318 * [simplify]: Simplified to (* (* 2 PI) n) 39.318 * [simplify]: Simplified (2 2 1 2 1) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2))))))) 39.319 * * * * [progress]: [ 6 / 130 ] simplifiying candidate # 39.319 * [simplify]: Simplifying (* (* 2 PI) n) 39.319 * * [simplify]: iters left: 4 (5 enodes) 39.322 * * [simplify]: iters left: 3 (19 enodes) 39.328 * * [simplify]: iters left: 2 (27 enodes) 39.336 * * [simplify]: iters left: 1 (32 enodes) 39.343 * * [simplify]: Extracting #0: cost 1 inf + 0 39.344 * * [simplify]: Extracting #1: cost 8 inf + 0 39.344 * * [simplify]: Extracting #2: cost 7 inf + 45 39.344 * * [simplify]: Extracting #3: cost 0 inf + 421 39.344 * [simplify]: Simplified to (* (* 2 PI) n) 39.344 * [simplify]: Simplified (2 2 1 2 1) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2))))))) 39.344 * * * * [progress]: [ 7 / 130 ] simplifiying candidate # 39.345 * [simplify]: Simplifying (* (* 2 PI) n) 39.345 * * [simplify]: iters left: 4 (5 enodes) 39.347 * * [simplify]: iters left: 3 (19 enodes) 39.353 * * [simplify]: iters left: 2 (27 enodes) 39.361 * * [simplify]: iters left: 1 (32 enodes) 39.369 * * [simplify]: Extracting #0: cost 1 inf + 0 39.369 * * [simplify]: Extracting #1: cost 8 inf + 0 39.369 * * [simplify]: Extracting #2: cost 7 inf + 45 39.369 * * [simplify]: Extracting #3: cost 0 inf + 421 39.370 * [simplify]: Simplified to (* (* 2 PI) n) 39.370 * [simplify]: Simplified (2 2 1 2 1) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2))))))) 39.370 * * * * [progress]: [ 8 / 130 ] simplifiying candidate # 39.370 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ k 2)) 39.370 * * [simplify]: iters left: 5 (8 enodes) 39.374 * * [simplify]: iters left: 4 (31 enodes) 39.384 * * [simplify]: iters left: 3 (51 enodes) 39.401 * * [simplify]: iters left: 2 (85 enodes) 39.429 * * [simplify]: iters left: 1 (152 enodes) 39.488 * * [simplify]: Extracting #0: cost 1 inf + 0 39.488 * * [simplify]: Extracting #1: cost 13 inf + 0 39.488 * * [simplify]: Extracting #2: cost 60 inf + 1 39.489 * * [simplify]: Extracting #3: cost 76 inf + 51 39.490 * * [simplify]: Extracting #4: cost 44 inf + 2846 39.493 * * [simplify]: Extracting #5: cost 21 inf + 7590 39.497 * * [simplify]: Extracting #6: cost 1 inf + 20687 39.503 * * [simplify]: Extracting #7: cost 0 inf + 20539 39.508 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 39.508 * [simplify]: Simplified (2 2 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (/ (pow (* (* 2 PI) n) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))))))) 39.509 * * * * [progress]: [ 9 / 130 ] simplifiying candidate # 39.509 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2)) 39.509 * * [simplify]: iters left: 5 (6 enodes) 39.513 * * [simplify]: iters left: 4 (26 enodes) 39.518 * * [simplify]: iters left: 3 (35 enodes) 39.523 * * [simplify]: Extracting #0: cost 1 inf + 0 39.523 * * [simplify]: Extracting #1: cost 3 inf + 0 39.523 * * [simplify]: Extracting #2: cost 8 inf + 0 39.523 * * [simplify]: Extracting #3: cost 11 inf + 2 39.523 * * [simplify]: Extracting #4: cost 8 inf + 87 39.523 * * [simplify]: Extracting #5: cost 2 inf + 500 39.524 * * [simplify]: Extracting #6: cost 0 inf + 746 39.524 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2)) 39.524 * [simplify]: Simplified (2 2 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))))))) 39.524 * * * * [progress]: [ 10 / 130 ] simplifiying candidate # 39.524 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2)) 39.524 * * [simplify]: iters left: 5 (6 enodes) 39.526 * * [simplify]: iters left: 4 (26 enodes) 39.531 * * [simplify]: iters left: 3 (35 enodes) 39.535 * * [simplify]: Extracting #0: cost 1 inf + 0 39.535 * * [simplify]: Extracting #1: cost 3 inf + 0 39.536 * * [simplify]: Extracting #2: cost 8 inf + 0 39.536 * * [simplify]: Extracting #3: cost 11 inf + 2 39.536 * * [simplify]: Extracting #4: cost 8 inf + 87 39.536 * * [simplify]: Extracting #5: cost 2 inf + 460 39.536 * * [simplify]: Extracting #6: cost 0 inf + 666 39.536 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2)) 39.536 * [simplify]: Simplified (2 2 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))))))) 39.536 * * * * [progress]: [ 11 / 130 ] simplifiying candidate # 39.536 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2)) 39.537 * * [simplify]: iters left: 5 (7 enodes) 39.539 * * [simplify]: iters left: 4 (25 enodes) 39.543 * * [simplify]: iters left: 3 (30 enodes) 39.552 * * [simplify]: Extracting #0: cost 1 inf + 0 39.552 * * [simplify]: Extracting #1: cost 4 inf + 0 39.552 * * [simplify]: Extracting #2: cost 8 inf + 0 39.552 * * [simplify]: Extracting #3: cost 10 inf + 82 39.552 * * [simplify]: Extracting #4: cost 7 inf + 206 39.553 * * [simplify]: Extracting #5: cost 2 inf + 575 39.553 * * [simplify]: Extracting #6: cost 1 inf + 818 39.553 * * [simplify]: Extracting #7: cost 0 inf + 1061 39.553 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2)) 39.554 * [simplify]: Simplified (2 2 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))))))) 39.554 * * * * [progress]: [ 12 / 130 ] simplifiying candidate # 39.554 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2)) 39.554 * * [simplify]: iters left: 5 (7 enodes) 39.559 * * [simplify]: iters left: 4 (25 enodes) 39.570 * * [simplify]: iters left: 3 (30 enodes) 39.579 * * [simplify]: Extracting #0: cost 1 inf + 0 39.579 * * [simplify]: Extracting #1: cost 4 inf + 0 39.579 * * [simplify]: Extracting #2: cost 8 inf + 0 39.579 * * [simplify]: Extracting #3: cost 10 inf + 42 39.580 * * [simplify]: Extracting #4: cost 7 inf + 126 39.580 * * [simplify]: Extracting #5: cost 2 inf + 495 39.580 * * [simplify]: Extracting #6: cost 1 inf + 698 39.580 * * [simplify]: Extracting #7: cost 0 inf + 901 39.581 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2)) 39.581 * [simplify]: Simplified (2 2 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2))))))) 39.581 * * * * [progress]: [ 13 / 130 ] simplifiying candidate # 39.582 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2) 39.582 * * [simplify]: iters left: 5 (6 enodes) 39.585 * * [simplify]: iters left: 4 (22 enodes) 39.592 * * [simplify]: iters left: 3 (27 enodes) 39.600 * * [simplify]: Extracting #0: cost 1 inf + 0 39.600 * * [simplify]: Extracting #1: cost 4 inf + 0 39.600 * * [simplify]: Extracting #2: cost 5 inf + 1 39.601 * * [simplify]: Extracting #3: cost 9 inf + 1 39.601 * * [simplify]: Extracting #4: cost 8 inf + 3 39.601 * * [simplify]: Extracting #5: cost 4 inf + 169 39.601 * * [simplify]: Extracting #6: cost 1 inf + 576 39.601 * * [simplify]: Extracting #7: cost 0 inf + 739 39.602 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 39.602 * [simplify]: Simplified (2 2 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2)))))) 39.602 * * * * [progress]: [ 14 / 130 ] simplifiying candidate # 39.602 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2)) 39.602 * * [simplify]: iters left: 5 (7 enodes) 39.606 * * [simplify]: iters left: 4 (25 enodes) 39.615 * * [simplify]: iters left: 3 (30 enodes) 39.625 * * [simplify]: Extracting #0: cost 1 inf + 0 39.625 * * [simplify]: Extracting #1: cost 4 inf + 0 39.625 * * [simplify]: Extracting #2: cost 8 inf + 0 39.625 * * [simplify]: Extracting #3: cost 10 inf + 82 39.625 * * [simplify]: Extracting #4: cost 7 inf + 206 39.625 * * [simplify]: Extracting #5: cost 2 inf + 495 39.626 * * [simplify]: Extracting #6: cost 1 inf + 698 39.626 * * [simplify]: Extracting #7: cost 0 inf + 901 39.626 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2)) 39.626 * [simplify]: Simplified (2 2 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2))))))) 39.627 * * * * [progress]: [ 15 / 130 ] simplifiying candidate # 39.627 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2)) 39.627 * * [simplify]: iters left: 5 (7 enodes) 39.632 * * [simplify]: iters left: 4 (25 enodes) 39.639 * * [simplify]: iters left: 3 (30 enodes) 39.649 * * [simplify]: Extracting #0: cost 1 inf + 0 39.649 * * [simplify]: Extracting #1: cost 4 inf + 0 39.650 * * [simplify]: Extracting #2: cost 8 inf + 0 39.650 * * [simplify]: Extracting #3: cost 10 inf + 42 39.650 * * [simplify]: Extracting #4: cost 7 inf + 126 39.650 * * [simplify]: Extracting #5: cost 2 inf + 415 39.650 * * [simplify]: Extracting #6: cost 1 inf + 578 39.651 * * [simplify]: Extracting #7: cost 0 inf + 741 39.651 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2)) 39.651 * [simplify]: Simplified (2 2 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))))))) 39.651 * * * * [progress]: [ 16 / 130 ] simplifiying candidate # 39.651 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2) 39.652 * * [simplify]: iters left: 5 (6 enodes) 39.655 * * [simplify]: iters left: 4 (22 enodes) 39.663 * * [simplify]: iters left: 3 (27 enodes) 39.671 * * [simplify]: Extracting #0: cost 1 inf + 0 39.671 * * [simplify]: Extracting #1: cost 4 inf + 0 39.671 * * [simplify]: Extracting #2: cost 5 inf + 1 39.671 * * [simplify]: Extracting #3: cost 9 inf + 1 39.671 * * [simplify]: Extracting #4: cost 8 inf + 3 39.672 * * [simplify]: Extracting #5: cost 4 inf + 169 39.672 * * [simplify]: Extracting #6: cost 1 inf + 456 39.672 * * [simplify]: Extracting #7: cost 0 inf + 579 39.672 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 39.672 * [simplify]: Simplified (2 2 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)))))) 39.673 * * * * [progress]: [ 17 / 130 ] simplifiying candidate # 39.673 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 39.673 * * [simplify]: iters left: 4 (6 enodes) 39.677 * * [simplify]: iters left: 3 (25 enodes) 39.686 * * [simplify]: iters left: 2 (36 enodes) 39.697 * * [simplify]: iters left: 1 (40 enodes) 39.708 * * [simplify]: Extracting #0: cost 1 inf + 0 39.708 * * [simplify]: Extracting #1: cost 7 inf + 0 39.709 * * [simplify]: Extracting #2: cost 16 inf + 0 39.709 * * [simplify]: Extracting #3: cost 13 inf + 44 39.709 * * [simplify]: Extracting #4: cost 3 inf + 1103 39.710 * * [simplify]: Extracting #5: cost 0 inf + 1469 39.710 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 39.710 * [simplify]: Simplified (2 2 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))))))) 39.710 * * * * [progress]: [ 18 / 130 ] simplifiying candidate # 39.711 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 39.711 * * [simplify]: iters left: 4 (6 enodes) 39.715 * * [simplify]: iters left: 3 (25 enodes) 39.723 * * [simplify]: iters left: 2 (36 enodes) 39.729 * * [simplify]: iters left: 1 (40 enodes) 39.734 * * [simplify]: Extracting #0: cost 1 inf + 0 39.735 * * [simplify]: Extracting #1: cost 7 inf + 0 39.735 * * [simplify]: Extracting #2: cost 16 inf + 0 39.735 * * [simplify]: Extracting #3: cost 13 inf + 44 39.735 * * [simplify]: Extracting #4: cost 3 inf + 823 39.735 * * [simplify]: Extracting #5: cost 0 inf + 1069 39.735 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 39.735 * [simplify]: Simplified (2 2 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))))))) 39.735 * * * * [progress]: [ 19 / 130 ] simplifiying candidate # 39.736 * [simplify]: Simplifying (/ (- 1 k) 2) 39.736 * * [simplify]: iters left: 4 (5 enodes) 39.738 * * [simplify]: iters left: 3 (23 enodes) 39.742 * * [simplify]: iters left: 2 (32 enodes) 39.746 * * [simplify]: Extracting #0: cost 1 inf + 0 39.746 * * [simplify]: Extracting #1: cost 6 inf + 0 39.746 * * [simplify]: Extracting #2: cost 9 inf + 2 39.746 * * [simplify]: Extracting #3: cost 6 inf + 87 39.747 * * [simplify]: Extracting #4: cost 0 inf + 420 39.747 * [simplify]: Simplified to (/ (- 1 k) 2) 39.747 * [simplify]: Simplified (2 2 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ 1 1)) (/ (- 1 k) 2)))))) 39.747 * * * * [progress]: [ 20 / 130 ] simplifiying candidate # 39.747 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 39.747 * * [simplify]: iters left: 5 (8 enodes) 39.750 * * [simplify]: iters left: 4 (31 enodes) 39.755 * * [simplify]: iters left: 3 (45 enodes) 39.762 * * [simplify]: iters left: 2 (51 enodes) 39.769 * * [simplify]: iters left: 1 (52 enodes) 39.776 * * [simplify]: Extracting #0: cost 1 inf + 0 39.776 * * [simplify]: Extracting #1: cost 8 inf + 0 39.776 * * [simplify]: Extracting #2: cost 18 inf + 0 39.776 * * [simplify]: Extracting #3: cost 19 inf + 2 39.777 * * [simplify]: Extracting #4: cost 9 inf + 977 39.777 * * [simplify]: Extracting #5: cost 2 inf + 1790 39.777 * * [simplify]: Extracting #6: cost 0 inf + 2195 39.778 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 39.778 * [simplify]: Simplified (2 2 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))))))) 39.778 * * * * [progress]: [ 21 / 130 ] simplifiying candidate # 39.778 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 39.778 * * [simplify]: iters left: 5 (8 enodes) 39.781 * * [simplify]: iters left: 4 (31 enodes) 39.786 * * [simplify]: iters left: 3 (45 enodes) 39.793 * * [simplify]: iters left: 2 (51 enodes) 39.800 * * [simplify]: iters left: 1 (52 enodes) 39.809 * * [simplify]: Extracting #0: cost 1 inf + 0 39.809 * * [simplify]: Extracting #1: cost 8 inf + 0 39.809 * * [simplify]: Extracting #2: cost 18 inf + 0 39.809 * * [simplify]: Extracting #3: cost 19 inf + 2 39.809 * * [simplify]: Extracting #4: cost 9 inf + 697 39.810 * * [simplify]: Extracting #5: cost 2 inf + 1390 39.810 * * [simplify]: Extracting #6: cost 0 inf + 1715 39.810 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 39.811 * [simplify]: Simplified (2 2 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))))))) 39.811 * * * * [progress]: [ 22 / 130 ] simplifiying candidate # 39.811 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 39.811 * * [simplify]: iters left: 5 (7 enodes) 39.814 * * [simplify]: iters left: 4 (29 enodes) 39.819 * * [simplify]: iters left: 3 (43 enodes) 39.825 * * [simplify]: iters left: 2 (47 enodes) 39.835 * * [simplify]: Extracting #0: cost 1 inf + 0 39.835 * * [simplify]: Extracting #1: cost 7 inf + 0 39.835 * * [simplify]: Extracting #2: cost 11 inf + 2 39.835 * * [simplify]: Extracting #3: cost 13 inf + 3 39.835 * * [simplify]: Extracting #4: cost 11 inf + 45 39.836 * * [simplify]: Extracting #5: cost 0 inf + 1066 39.836 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 39.836 * [simplify]: Simplified (2 2 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))) 39.836 * * * * [progress]: [ 23 / 130 ] simplifiying candidate # 39.837 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 39.837 * * [simplify]: iters left: 5 (7 enodes) 39.841 * * [simplify]: iters left: 4 (28 enodes) 39.851 * * [simplify]: iters left: 3 (39 enodes) 39.864 * * [simplify]: iters left: 2 (43 enodes) 39.877 * * [simplify]: Extracting #0: cost 1 inf + 0 39.877 * * [simplify]: Extracting #1: cost 7 inf + 0 39.877 * * [simplify]: Extracting #2: cost 16 inf + 0 39.877 * * [simplify]: Extracting #3: cost 15 inf + 164 39.877 * * [simplify]: Extracting #4: cost 13 inf + 287 39.877 * * [simplify]: Extracting #5: cost 5 inf + 1180 39.878 * * [simplify]: Extracting #6: cost 0 inf + 1951 39.879 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 39.879 * [simplify]: Simplified (2 2 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))))))) 39.879 * * * * [progress]: [ 24 / 130 ] simplifiying candidate # 39.879 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 39.879 * * [simplify]: iters left: 5 (7 enodes) 39.883 * * [simplify]: iters left: 4 (28 enodes) 39.892 * * [simplify]: iters left: 3 (39 enodes) 39.898 * * [simplify]: iters left: 2 (43 enodes) 39.904 * * [simplify]: Extracting #0: cost 1 inf + 0 39.904 * * [simplify]: Extracting #1: cost 7 inf + 0 39.904 * * [simplify]: Extracting #2: cost 16 inf + 0 39.904 * * [simplify]: Extracting #3: cost 15 inf + 84 39.904 * * [simplify]: Extracting #4: cost 13 inf + 167 39.904 * * [simplify]: Extracting #5: cost 5 inf + 900 39.905 * * [simplify]: Extracting #6: cost 0 inf + 1551 39.905 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 39.905 * [simplify]: Simplified (2 2 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))))))) 39.905 * * * * [progress]: [ 25 / 130 ] simplifiying candidate # 39.905 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 39.905 * * [simplify]: iters left: 5 (6 enodes) 39.907 * * [simplify]: iters left: 4 (26 enodes) 39.912 * * [simplify]: iters left: 3 (35 enodes) 39.919 * * [simplify]: Extracting #0: cost 1 inf + 0 39.919 * * [simplify]: Extracting #1: cost 6 inf + 0 39.919 * * [simplify]: Extracting #2: cost 9 inf + 2 39.919 * * [simplify]: Extracting #3: cost 11 inf + 3 39.919 * * [simplify]: Extracting #4: cost 10 inf + 4 39.919 * * [simplify]: Extracting #5: cost 3 inf + 535 39.920 * * [simplify]: Extracting #6: cost 0 inf + 822 39.920 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 39.920 * [simplify]: Simplified (2 2 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))) 39.920 * * * * [progress]: [ 26 / 130 ] simplifiying candidate # 39.920 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 39.920 * * [simplify]: iters left: 4 (6 enodes) 39.922 * * [simplify]: iters left: 3 (25 enodes) 39.930 * * [simplify]: iters left: 2 (36 enodes) 39.940 * * [simplify]: iters left: 1 (40 enodes) 39.947 * * [simplify]: Extracting #0: cost 1 inf + 0 39.948 * * [simplify]: Extracting #1: cost 7 inf + 0 39.948 * * [simplify]: Extracting #2: cost 16 inf + 0 39.948 * * [simplify]: Extracting #3: cost 13 inf + 44 39.948 * * [simplify]: Extracting #4: cost 3 inf + 1103 39.948 * * [simplify]: Extracting #5: cost 0 inf + 1469 39.948 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 39.948 * [simplify]: Simplified (2 2 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))))))) 39.949 * * * * [progress]: [ 27 / 130 ] simplifiying candidate # 39.949 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 39.949 * * [simplify]: iters left: 4 (6 enodes) 39.951 * * [simplify]: iters left: 3 (25 enodes) 39.955 * * [simplify]: iters left: 2 (36 enodes) 39.960 * * [simplify]: iters left: 1 (40 enodes) 39.966 * * [simplify]: Extracting #0: cost 1 inf + 0 39.966 * * [simplify]: Extracting #1: cost 7 inf + 0 39.966 * * [simplify]: Extracting #2: cost 16 inf + 0 39.966 * * [simplify]: Extracting #3: cost 13 inf + 44 39.966 * * [simplify]: Extracting #4: cost 3 inf + 823 39.967 * * [simplify]: Extracting #5: cost 0 inf + 1069 39.967 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 39.967 * [simplify]: Simplified (2 2 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))))))) 39.967 * * * * [progress]: [ 28 / 130 ] simplifiying candidate # 39.967 * [simplify]: Simplifying (/ (- 1 k) 2) 39.967 * * [simplify]: iters left: 4 (5 enodes) 39.969 * * [simplify]: iters left: 3 (23 enodes) 39.973 * * [simplify]: iters left: 2 (32 enodes) 39.982 * * [simplify]: Extracting #0: cost 1 inf + 0 39.982 * * [simplify]: Extracting #1: cost 6 inf + 0 39.982 * * [simplify]: Extracting #2: cost 9 inf + 2 39.982 * * [simplify]: Extracting #3: cost 6 inf + 87 39.982 * * [simplify]: Extracting #4: cost 0 inf + 420 39.982 * [simplify]: Simplified to (/ (- 1 k) 2) 39.982 * [simplify]: Simplified (2 2 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ 1 1)) (/ (- 1 k) 2)))))) 39.983 * * * * [progress]: [ 29 / 130 ] simplifiying candidate # 39.983 * [simplify]: Simplifying (/ (- 1 k) 2) 39.983 * * [simplify]: iters left: 4 (5 enodes) 39.986 * * [simplify]: iters left: 3 (23 enodes) 39.994 * * [simplify]: iters left: 2 (32 enodes) 40.002 * * [simplify]: Extracting #0: cost 1 inf + 0 40.002 * * [simplify]: Extracting #1: cost 6 inf + 0 40.002 * * [simplify]: Extracting #2: cost 9 inf + 2 40.002 * * [simplify]: Extracting #3: cost 6 inf + 87 40.002 * * [simplify]: Extracting #4: cost 0 inf + 420 40.002 * [simplify]: Simplified to (/ (- 1 k) 2) 40.002 * [simplify]: Simplified (2 2 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2)))))) 40.002 * * * * [progress]: [ 30 / 130 ] simplifiying candidate # 40.002 * [simplify]: Simplifying (/ 1 2) 40.003 * * [simplify]: iters left: 2 (3 enodes) 40.004 * * [simplify]: iters left: 1 (12 enodes) 40.006 * * [simplify]: Extracting #0: cost 1 inf + 0 40.007 * * [simplify]: Extracting #1: cost 0 inf + 1 40.007 * [simplify]: Simplified to 1/2 40.007 * [simplify]: Simplified (2 2 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (- 1 k)) 1/2))))) 40.007 * * * * [progress]: [ 31 / 130 ] simplifiying candidate # 40.007 * [simplify]: Simplifying (pow (* 2 PI) (/ (- 1 k) 2)) 40.007 * * [simplify]: iters left: 5 (8 enodes) 40.010 * * [simplify]: iters left: 4 (36 enodes) 40.016 * * [simplify]: iters left: 3 (57 enodes) 40.028 * * [simplify]: iters left: 2 (90 enodes) 40.047 * * [simplify]: iters left: 1 (176 enodes) 40.081 * * [simplify]: Extracting #0: cost 1 inf + 0 40.081 * * [simplify]: Extracting #1: cost 13 inf + 0 40.081 * * [simplify]: Extracting #2: cost 55 inf + 1 40.081 * * [simplify]: Extracting #3: cost 86 inf + 6 40.082 * * [simplify]: Extracting #4: cost 68 inf + 2553 40.083 * * [simplify]: Extracting #5: cost 24 inf + 10048 40.086 * * [simplify]: Extracting #6: cost 3 inf + 21580 40.091 * * [simplify]: Extracting #7: cost 0 inf + 23439 40.098 * [simplify]: Simplified to (pow (* 2 PI) (/ (- 1 k) 2)) 40.098 * [simplify]: Simplified (2 2 1 2 1) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))))))) 40.098 * * * * [progress]: [ 32 / 130 ] simplifiying candidate # 40.098 * * * * [progress]: [ 33 / 130 ] simplifiying candidate # 40.098 * * * * [progress]: [ 34 / 130 ] simplifiying candidate # 40.098 * * * * [progress]: [ 35 / 130 ] simplifiying candidate # 40.099 * * * * [progress]: [ 36 / 130 ] simplifiying candidate # 40.099 * * * * [progress]: [ 37 / 130 ] simplifiying candidate # 40.099 * * * * [progress]: [ 38 / 130 ] simplifiying candidate # 40.099 * * * * [progress]: [ 39 / 130 ] simplifiying candidate # 40.099 * * * * [progress]: [ 40 / 130 ] simplifiying candidate #real (real->posit16 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))))> 40.099 * * * * [progress]: [ 41 / 130 ] simplifiying candidate # 40.099 * [simplify]: Simplifying (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)) 40.099 * * [simplify]: iters left: 6 (13 enodes) 40.110 * * [simplify]: iters left: 5 (54 enodes) 40.128 * * [simplify]: iters left: 4 (97 enodes) 40.158 * * [simplify]: iters left: 3 (246 enodes) 40.229 * * [simplify]: Extracting #0: cost 1 inf + 0 40.229 * * [simplify]: Extracting #1: cost 28 inf + 0 40.230 * * [simplify]: Extracting #2: cost 93 inf + 2 40.230 * * [simplify]: Extracting #3: cost 138 inf + 186 40.231 * * [simplify]: Extracting #4: cost 108 inf + 3370 40.235 * * [simplify]: Extracting #5: cost 33 inf + 22278 40.241 * * [simplify]: Extracting #6: cost 2 inf + 32881 40.251 * * [simplify]: Extracting #7: cost 0 inf + 33789 40.263 * [simplify]: Simplified to (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2) 40.264 * [simplify]: Simplified (2 1 1 2 1) to (λ (k n) (* (sqrt (* (pow k -1/2) (exp (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2)))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 40.264 * * * * [progress]: [ 42 / 130 ] simplifiying candidate # 40.264 * [simplify]: Simplifying (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)) 40.264 * * [simplify]: iters left: 6 (12 enodes) 40.272 * * [simplify]: iters left: 5 (52 enodes) 40.289 * * [simplify]: iters left: 4 (90 enodes) 40.314 * * [simplify]: iters left: 3 (201 enodes) 40.384 * * [simplify]: iters left: 2 (496 enodes) 40.629 * * [simplify]: Extracting #0: cost 1 inf + 0 40.629 * * [simplify]: Extracting #1: cost 22 inf + 0 40.630 * * [simplify]: Extracting #2: cost 123 inf + 2 40.631 * * [simplify]: Extracting #3: cost 296 inf + 186 40.633 * * [simplify]: Extracting #4: cost 244 inf + 9812 40.642 * * [simplify]: Extracting #5: cost 93 inf + 50654 40.659 * * [simplify]: Extracting #6: cost 0 inf + 82473 40.675 * * [simplify]: Extracting #7: cost 0 inf + 82467 40.694 * [simplify]: Simplified to (/ (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)) 2) 40.695 * [simplify]: Simplified (2 1 1 2 1) to (λ (k n) (* (sqrt (* (pow k -1/2) (exp (/ (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)) 2)))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 40.695 * * * * [progress]: [ 43 / 130 ] simplifiying candidate # 40.695 * [simplify]: Simplifying (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)) 40.695 * * [simplify]: iters left: 6 (11 enodes) 40.698 * * [simplify]: iters left: 5 (51 enodes) 40.707 * * [simplify]: iters left: 4 (97 enodes) 40.723 * * [simplify]: iters left: 3 (198 enodes) 40.780 * * [simplify]: iters left: 2 (492 enodes) 41.080 * * [simplify]: Extracting #0: cost 1 inf + 0 41.080 * * [simplify]: Extracting #1: cost 27 inf + 0 41.081 * * [simplify]: Extracting #2: cost 138 inf + 2 41.083 * * [simplify]: Extracting #3: cost 300 inf + 352 41.087 * * [simplify]: Extracting #4: cost 251 inf + 8938 41.114 * * [simplify]: Extracting #5: cost 48 inf + 62855 41.144 * * [simplify]: Extracting #6: cost 0 inf + 74672 41.174 * * [simplify]: Extracting #7: cost 0 inf + 74341 41.205 * [simplify]: Simplified to (/ (- (log (* (* 2 PI) n)) (* k (log (* (* 2 PI) n)))) 2) 41.205 * [simplify]: Simplified (2 1 1 2 1) to (λ (k n) (* (sqrt (* (pow k -1/2) (exp (/ (- (log (* (* 2 PI) n)) (* k (log (* (* 2 PI) n)))) 2)))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 41.205 * * * * [progress]: [ 44 / 130 ] simplifiying candidate # 41.205 * * * * [progress]: [ 45 / 130 ] simplifiying candidate # 41.205 * [simplify]: Simplifying (* (* 2 PI) n) 41.205 * * [simplify]: iters left: 4 (5 enodes) 41.208 * * [simplify]: iters left: 3 (19 enodes) 41.214 * * [simplify]: iters left: 2 (27 enodes) 41.223 * * [simplify]: iters left: 1 (32 enodes) 41.231 * * [simplify]: Extracting #0: cost 1 inf + 0 41.231 * * [simplify]: Extracting #1: cost 8 inf + 0 41.231 * * [simplify]: Extracting #2: cost 7 inf + 45 41.231 * * [simplify]: Extracting #3: cost 0 inf + 421 41.232 * [simplify]: Simplified to (* (* 2 PI) n) 41.232 * [simplify]: Simplified (2 1 1 2 1) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2))))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 41.232 * * * * [progress]: [ 46 / 130 ] simplifiying candidate # 41.232 * [simplify]: Simplifying (* (* 2 PI) n) 41.232 * * [simplify]: iters left: 4 (5 enodes) 41.235 * * [simplify]: iters left: 3 (19 enodes) 41.241 * * [simplify]: iters left: 2 (27 enodes) 41.249 * * [simplify]: iters left: 1 (32 enodes) 41.257 * * [simplify]: Extracting #0: cost 1 inf + 0 41.257 * * [simplify]: Extracting #1: cost 8 inf + 0 41.259 * * [simplify]: Extracting #2: cost 7 inf + 45 41.259 * * [simplify]: Extracting #3: cost 0 inf + 421 41.260 * [simplify]: Simplified to (* (* 2 PI) n) 41.260 * [simplify]: Simplified (2 1 1 2 1) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2))))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 41.260 * * * * [progress]: [ 47 / 130 ] simplifiying candidate # 41.260 * [simplify]: Simplifying (* (* 2 PI) n) 41.260 * * [simplify]: iters left: 4 (5 enodes) 41.263 * * [simplify]: iters left: 3 (19 enodes) 41.270 * * [simplify]: iters left: 2 (27 enodes) 41.278 * * [simplify]: iters left: 1 (32 enodes) 41.287 * * [simplify]: Extracting #0: cost 1 inf + 0 41.287 * * [simplify]: Extracting #1: cost 8 inf + 0 41.287 * * [simplify]: Extracting #2: cost 7 inf + 45 41.288 * * [simplify]: Extracting #3: cost 0 inf + 421 41.288 * [simplify]: Simplified to (* (* 2 PI) n) 41.288 * [simplify]: Simplified (2 1 1 2 1) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2))))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 41.288 * * * * [progress]: [ 48 / 130 ] simplifiying candidate # 41.289 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ k 2)) 41.289 * * [simplify]: iters left: 5 (8 enodes) 41.293 * * [simplify]: iters left: 4 (31 enodes) 41.303 * * [simplify]: iters left: 3 (51 enodes) 41.311 * * [simplify]: iters left: 2 (85 enodes) 41.325 * * [simplify]: iters left: 1 (152 enodes) 41.353 * * [simplify]: Extracting #0: cost 1 inf + 0 41.354 * * [simplify]: Extracting #1: cost 13 inf + 0 41.354 * * [simplify]: Extracting #2: cost 60 inf + 1 41.354 * * [simplify]: Extracting #3: cost 76 inf + 51 41.356 * * [simplify]: Extracting #4: cost 44 inf + 2846 41.358 * * [simplify]: Extracting #5: cost 21 inf + 7590 41.360 * * [simplify]: Extracting #6: cost 1 inf + 20687 41.363 * * [simplify]: Extracting #7: cost 0 inf + 20539 41.368 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 41.368 * [simplify]: Simplified (2 1 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (/ (pow (* (* 2 PI) n) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 41.368 * * * * [progress]: [ 49 / 130 ] simplifiying candidate # 41.369 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2)) 41.369 * * [simplify]: iters left: 5 (6 enodes) 41.373 * * [simplify]: iters left: 4 (26 enodes) 41.382 * * [simplify]: iters left: 3 (35 enodes) 41.392 * * [simplify]: Extracting #0: cost 1 inf + 0 41.392 * * [simplify]: Extracting #1: cost 3 inf + 0 41.392 * * [simplify]: Extracting #2: cost 8 inf + 0 41.392 * * [simplify]: Extracting #3: cost 11 inf + 2 41.392 * * [simplify]: Extracting #4: cost 8 inf + 87 41.393 * * [simplify]: Extracting #5: cost 2 inf + 500 41.393 * * [simplify]: Extracting #6: cost 0 inf + 746 41.393 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2)) 41.393 * [simplify]: Simplified (2 1 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 41.394 * * * * [progress]: [ 50 / 130 ] simplifiying candidate # 41.394 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2)) 41.394 * * [simplify]: iters left: 5 (6 enodes) 41.398 * * [simplify]: iters left: 4 (26 enodes) 41.407 * * [simplify]: iters left: 3 (35 enodes) 41.418 * * [simplify]: Extracting #0: cost 1 inf + 0 41.418 * * [simplify]: Extracting #1: cost 3 inf + 0 41.418 * * [simplify]: Extracting #2: cost 8 inf + 0 41.418 * * [simplify]: Extracting #3: cost 11 inf + 2 41.418 * * [simplify]: Extracting #4: cost 8 inf + 87 41.418 * * [simplify]: Extracting #5: cost 2 inf + 460 41.418 * * [simplify]: Extracting #6: cost 0 inf + 666 41.419 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2)) 41.419 * [simplify]: Simplified (2 1 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 41.419 * * * * [progress]: [ 51 / 130 ] simplifiying candidate # 41.419 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2)) 41.419 * * [simplify]: iters left: 5 (7 enodes) 41.424 * * [simplify]: iters left: 4 (25 enodes) 41.433 * * [simplify]: iters left: 3 (30 enodes) 41.442 * * [simplify]: Extracting #0: cost 1 inf + 0 41.442 * * [simplify]: Extracting #1: cost 4 inf + 0 41.442 * * [simplify]: Extracting #2: cost 8 inf + 0 41.442 * * [simplify]: Extracting #3: cost 10 inf + 82 41.443 * * [simplify]: Extracting #4: cost 7 inf + 206 41.443 * * [simplify]: Extracting #5: cost 2 inf + 575 41.443 * * [simplify]: Extracting #6: cost 1 inf + 818 41.443 * * [simplify]: Extracting #7: cost 0 inf + 1061 41.444 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2)) 41.444 * [simplify]: Simplified (2 1 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 41.444 * * * * [progress]: [ 52 / 130 ] simplifiying candidate # 41.444 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2)) 41.444 * * [simplify]: iters left: 5 (7 enodes) 41.448 * * [simplify]: iters left: 4 (25 enodes) 41.456 * * [simplify]: iters left: 3 (30 enodes) 41.464 * * [simplify]: Extracting #0: cost 1 inf + 0 41.464 * * [simplify]: Extracting #1: cost 4 inf + 0 41.464 * * [simplify]: Extracting #2: cost 8 inf + 0 41.464 * * [simplify]: Extracting #3: cost 10 inf + 42 41.464 * * [simplify]: Extracting #4: cost 7 inf + 126 41.465 * * [simplify]: Extracting #5: cost 2 inf + 495 41.465 * * [simplify]: Extracting #6: cost 1 inf + 698 41.465 * * [simplify]: Extracting #7: cost 0 inf + 901 41.466 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2)) 41.466 * [simplify]: Simplified (2 1 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2))))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 41.466 * * * * [progress]: [ 53 / 130 ] simplifiying candidate # 41.466 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2) 41.466 * * [simplify]: iters left: 5 (6 enodes) 41.470 * * [simplify]: iters left: 4 (22 enodes) 41.478 * * [simplify]: iters left: 3 (27 enodes) 41.486 * * [simplify]: Extracting #0: cost 1 inf + 0 41.486 * * [simplify]: Extracting #1: cost 4 inf + 0 41.486 * * [simplify]: Extracting #2: cost 5 inf + 1 41.486 * * [simplify]: Extracting #3: cost 9 inf + 1 41.486 * * [simplify]: Extracting #4: cost 8 inf + 3 41.486 * * [simplify]: Extracting #5: cost 4 inf + 169 41.486 * * [simplify]: Extracting #6: cost 1 inf + 576 41.486 * * [simplify]: Extracting #7: cost 0 inf + 739 41.487 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 41.487 * [simplify]: Simplified (2 1 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2)))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 41.487 * * * * [progress]: [ 54 / 130 ] simplifiying candidate # 41.487 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2)) 41.487 * * [simplify]: iters left: 5 (7 enodes) 41.492 * * [simplify]: iters left: 4 (25 enodes) 41.500 * * [simplify]: iters left: 3 (30 enodes) 41.511 * * [simplify]: Extracting #0: cost 1 inf + 0 41.511 * * [simplify]: Extracting #1: cost 4 inf + 0 41.511 * * [simplify]: Extracting #2: cost 8 inf + 0 41.512 * * [simplify]: Extracting #3: cost 10 inf + 82 41.512 * * [simplify]: Extracting #4: cost 7 inf + 206 41.512 * * [simplify]: Extracting #5: cost 2 inf + 495 41.512 * * [simplify]: Extracting #6: cost 1 inf + 698 41.512 * * [simplify]: Extracting #7: cost 0 inf + 901 41.513 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2)) 41.513 * [simplify]: Simplified (2 1 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2))))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 41.513 * * * * [progress]: [ 55 / 130 ] simplifiying candidate # 41.513 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2)) 41.514 * * [simplify]: iters left: 5 (7 enodes) 41.518 * * [simplify]: iters left: 4 (25 enodes) 41.526 * * [simplify]: iters left: 3 (30 enodes) 41.535 * * [simplify]: Extracting #0: cost 1 inf + 0 41.535 * * [simplify]: Extracting #1: cost 4 inf + 0 41.535 * * [simplify]: Extracting #2: cost 8 inf + 0 41.536 * * [simplify]: Extracting #3: cost 10 inf + 42 41.536 * * [simplify]: Extracting #4: cost 7 inf + 126 41.536 * * [simplify]: Extracting #5: cost 2 inf + 415 41.536 * * [simplify]: Extracting #6: cost 1 inf + 578 41.536 * * [simplify]: Extracting #7: cost 0 inf + 741 41.537 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2)) 41.537 * [simplify]: Simplified (2 1 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 41.537 * * * * [progress]: [ 56 / 130 ] simplifiying candidate # 41.537 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2) 41.537 * * [simplify]: iters left: 5 (6 enodes) 41.541 * * [simplify]: iters left: 4 (22 enodes) 41.548 * * [simplify]: iters left: 3 (27 enodes) 41.556 * * [simplify]: Extracting #0: cost 1 inf + 0 41.556 * * [simplify]: Extracting #1: cost 4 inf + 0 41.556 * * [simplify]: Extracting #2: cost 5 inf + 1 41.556 * * [simplify]: Extracting #3: cost 9 inf + 1 41.556 * * [simplify]: Extracting #4: cost 8 inf + 3 41.556 * * [simplify]: Extracting #5: cost 4 inf + 169 41.556 * * [simplify]: Extracting #6: cost 1 inf + 456 41.557 * * [simplify]: Extracting #7: cost 0 inf + 579 41.557 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 41.557 * [simplify]: Simplified (2 1 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 41.557 * * * * [progress]: [ 57 / 130 ] simplifiying candidate # 41.557 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 41.558 * * [simplify]: iters left: 4 (6 enodes) 41.561 * * [simplify]: iters left: 3 (25 enodes) 41.569 * * [simplify]: iters left: 2 (36 enodes) 41.574 * * [simplify]: iters left: 1 (40 enodes) 41.580 * * [simplify]: Extracting #0: cost 1 inf + 0 41.580 * * [simplify]: Extracting #1: cost 7 inf + 0 41.580 * * [simplify]: Extracting #2: cost 16 inf + 0 41.580 * * [simplify]: Extracting #3: cost 13 inf + 44 41.580 * * [simplify]: Extracting #4: cost 3 inf + 1103 41.581 * * [simplify]: Extracting #5: cost 0 inf + 1469 41.581 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 41.581 * [simplify]: Simplified (2 1 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 41.581 * * * * [progress]: [ 58 / 130 ] simplifiying candidate # 41.581 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 41.582 * * [simplify]: iters left: 4 (6 enodes) 41.584 * * [simplify]: iters left: 3 (25 enodes) 41.588 * * [simplify]: iters left: 2 (36 enodes) 41.594 * * [simplify]: iters left: 1 (40 enodes) 41.604 * * [simplify]: Extracting #0: cost 1 inf + 0 41.604 * * [simplify]: Extracting #1: cost 7 inf + 0 41.604 * * [simplify]: Extracting #2: cost 16 inf + 0 41.604 * * [simplify]: Extracting #3: cost 13 inf + 44 41.604 * * [simplify]: Extracting #4: cost 3 inf + 823 41.605 * * [simplify]: Extracting #5: cost 0 inf + 1069 41.605 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 41.605 * [simplify]: Simplified (2 1 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 41.605 * * * * [progress]: [ 59 / 130 ] simplifiying candidate # 41.606 * [simplify]: Simplifying (/ (- 1 k) 2) 41.606 * * [simplify]: iters left: 4 (5 enodes) 41.610 * * [simplify]: iters left: 3 (23 enodes) 41.617 * * [simplify]: iters left: 2 (32 enodes) 41.627 * * [simplify]: Extracting #0: cost 1 inf + 0 41.627 * * [simplify]: Extracting #1: cost 6 inf + 0 41.627 * * [simplify]: Extracting #2: cost 9 inf + 2 41.627 * * [simplify]: Extracting #3: cost 6 inf + 87 41.627 * * [simplify]: Extracting #4: cost 0 inf + 420 41.627 * [simplify]: Simplified to (/ (- 1 k) 2) 41.628 * [simplify]: Simplified (2 1 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ 1 1)) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 41.628 * * * * [progress]: [ 60 / 130 ] simplifiying candidate # 41.628 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 41.628 * * [simplify]: iters left: 5 (8 enodes) 41.637 * * [simplify]: iters left: 4 (31 enodes) 41.646 * * [simplify]: iters left: 3 (45 enodes) 41.656 * * [simplify]: iters left: 2 (51 enodes) 41.663 * * [simplify]: iters left: 1 (52 enodes) 41.670 * * [simplify]: Extracting #0: cost 1 inf + 0 41.670 * * [simplify]: Extracting #1: cost 8 inf + 0 41.670 * * [simplify]: Extracting #2: cost 18 inf + 0 41.670 * * [simplify]: Extracting #3: cost 19 inf + 2 41.671 * * [simplify]: Extracting #4: cost 9 inf + 977 41.671 * * [simplify]: Extracting #5: cost 2 inf + 1790 41.671 * * [simplify]: Extracting #6: cost 0 inf + 2195 41.672 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 41.672 * [simplify]: Simplified (2 1 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 41.672 * * * * [progress]: [ 61 / 130 ] simplifiying candidate # 41.672 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 41.672 * * [simplify]: iters left: 5 (8 enodes) 41.675 * * [simplify]: iters left: 4 (31 enodes) 41.686 * * [simplify]: iters left: 3 (45 enodes) 41.697 * * [simplify]: iters left: 2 (51 enodes) 41.704 * * [simplify]: iters left: 1 (52 enodes) 41.710 * * [simplify]: Extracting #0: cost 1 inf + 0 41.711 * * [simplify]: Extracting #1: cost 8 inf + 0 41.711 * * [simplify]: Extracting #2: cost 18 inf + 0 41.711 * * [simplify]: Extracting #3: cost 19 inf + 2 41.711 * * [simplify]: Extracting #4: cost 9 inf + 697 41.711 * * [simplify]: Extracting #5: cost 2 inf + 1390 41.711 * * [simplify]: Extracting #6: cost 0 inf + 1715 41.712 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 41.712 * [simplify]: Simplified (2 1 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 41.712 * * * * [progress]: [ 62 / 130 ] simplifiying candidate # 41.712 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 41.712 * * [simplify]: iters left: 5 (7 enodes) 41.715 * * [simplify]: iters left: 4 (29 enodes) 41.720 * * [simplify]: iters left: 3 (43 enodes) 41.725 * * [simplify]: iters left: 2 (47 enodes) 41.735 * * [simplify]: Extracting #0: cost 1 inf + 0 41.735 * * [simplify]: Extracting #1: cost 7 inf + 0 41.735 * * [simplify]: Extracting #2: cost 11 inf + 2 41.735 * * [simplify]: Extracting #3: cost 13 inf + 3 41.735 * * [simplify]: Extracting #4: cost 11 inf + 45 41.735 * * [simplify]: Extracting #5: cost 0 inf + 1066 41.736 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 41.736 * [simplify]: Simplified (2 1 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 41.736 * * * * [progress]: [ 63 / 130 ] simplifiying candidate # 41.737 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 41.737 * * [simplify]: iters left: 5 (7 enodes) 41.743 * * [simplify]: iters left: 4 (28 enodes) 41.752 * * [simplify]: iters left: 3 (39 enodes) 41.764 * * [simplify]: iters left: 2 (43 enodes) 41.777 * * [simplify]: Extracting #0: cost 1 inf + 0 41.777 * * [simplify]: Extracting #1: cost 7 inf + 0 41.777 * * [simplify]: Extracting #2: cost 16 inf + 0 41.777 * * [simplify]: Extracting #3: cost 15 inf + 164 41.777 * * [simplify]: Extracting #4: cost 13 inf + 287 41.778 * * [simplify]: Extracting #5: cost 5 inf + 1180 41.778 * * [simplify]: Extracting #6: cost 0 inf + 1951 41.779 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 41.779 * [simplify]: Simplified (2 1 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 41.779 * * * * [progress]: [ 64 / 130 ] simplifiying candidate # 41.780 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 41.780 * * [simplify]: iters left: 5 (7 enodes) 41.784 * * [simplify]: iters left: 4 (28 enodes) 41.794 * * [simplify]: iters left: 3 (39 enodes) 41.806 * * [simplify]: iters left: 2 (43 enodes) 41.818 * * [simplify]: Extracting #0: cost 1 inf + 0 41.819 * * [simplify]: Extracting #1: cost 7 inf + 0 41.819 * * [simplify]: Extracting #2: cost 16 inf + 0 41.819 * * [simplify]: Extracting #3: cost 15 inf + 84 41.819 * * [simplify]: Extracting #4: cost 13 inf + 167 41.819 * * [simplify]: Extracting #5: cost 5 inf + 900 41.820 * * [simplify]: Extracting #6: cost 0 inf + 1551 41.821 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 41.821 * [simplify]: Simplified (2 1 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 41.821 * * * * [progress]: [ 65 / 130 ] simplifiying candidate # 41.821 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 41.821 * * [simplify]: iters left: 5 (6 enodes) 41.826 * * [simplify]: iters left: 4 (26 enodes) 41.834 * * [simplify]: iters left: 3 (35 enodes) 41.844 * * [simplify]: Extracting #0: cost 1 inf + 0 41.844 * * [simplify]: Extracting #1: cost 6 inf + 0 41.844 * * [simplify]: Extracting #2: cost 9 inf + 2 41.844 * * [simplify]: Extracting #3: cost 11 inf + 3 41.844 * * [simplify]: Extracting #4: cost 10 inf + 4 41.844 * * [simplify]: Extracting #5: cost 3 inf + 535 41.844 * * [simplify]: Extracting #6: cost 0 inf + 822 41.845 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 41.845 * [simplify]: Simplified (2 1 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 41.845 * * * * [progress]: [ 66 / 130 ] simplifiying candidate # 41.845 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 41.845 * * [simplify]: iters left: 4 (6 enodes) 41.847 * * [simplify]: iters left: 3 (25 enodes) 41.852 * * [simplify]: iters left: 2 (36 enodes) 41.858 * * [simplify]: iters left: 1 (40 enodes) 41.864 * * [simplify]: Extracting #0: cost 1 inf + 0 41.864 * * [simplify]: Extracting #1: cost 7 inf + 0 41.864 * * [simplify]: Extracting #2: cost 16 inf + 0 41.864 * * [simplify]: Extracting #3: cost 13 inf + 44 41.864 * * [simplify]: Extracting #4: cost 3 inf + 1103 41.865 * * [simplify]: Extracting #5: cost 0 inf + 1469 41.865 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 41.865 * [simplify]: Simplified (2 1 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 41.865 * * * * [progress]: [ 67 / 130 ] simplifiying candidate # 41.865 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 41.866 * * [simplify]: iters left: 4 (6 enodes) 41.868 * * [simplify]: iters left: 3 (25 enodes) 41.875 * * [simplify]: iters left: 2 (36 enodes) 41.882 * * [simplify]: iters left: 1 (40 enodes) 41.894 * * [simplify]: Extracting #0: cost 1 inf + 0 41.894 * * [simplify]: Extracting #1: cost 7 inf + 0 41.894 * * [simplify]: Extracting #2: cost 16 inf + 0 41.894 * * [simplify]: Extracting #3: cost 13 inf + 44 41.894 * * [simplify]: Extracting #4: cost 3 inf + 823 41.895 * * [simplify]: Extracting #5: cost 0 inf + 1069 41.895 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 41.895 * [simplify]: Simplified (2 1 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 41.896 * * * * [progress]: [ 68 / 130 ] simplifiying candidate # 41.896 * [simplify]: Simplifying (/ (- 1 k) 2) 41.896 * * [simplify]: iters left: 4 (5 enodes) 41.900 * * [simplify]: iters left: 3 (23 enodes) 41.908 * * [simplify]: iters left: 2 (32 enodes) 41.913 * * [simplify]: Extracting #0: cost 1 inf + 0 41.913 * * [simplify]: Extracting #1: cost 6 inf + 0 41.913 * * [simplify]: Extracting #2: cost 9 inf + 2 41.913 * * [simplify]: Extracting #3: cost 6 inf + 87 41.913 * * [simplify]: Extracting #4: cost 0 inf + 420 41.913 * [simplify]: Simplified to (/ (- 1 k) 2) 41.913 * [simplify]: Simplified (2 1 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ 1 1)) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 41.913 * * * * [progress]: [ 69 / 130 ] simplifiying candidate # 41.913 * [simplify]: Simplifying (/ (- 1 k) 2) 41.913 * * [simplify]: iters left: 4 (5 enodes) 41.915 * * [simplify]: iters left: 3 (23 enodes) 41.919 * * [simplify]: iters left: 2 (32 enodes) 41.924 * * [simplify]: Extracting #0: cost 1 inf + 0 41.924 * * [simplify]: Extracting #1: cost 6 inf + 0 41.924 * * [simplify]: Extracting #2: cost 9 inf + 2 41.924 * * [simplify]: Extracting #3: cost 6 inf + 87 41.924 * * [simplify]: Extracting #4: cost 0 inf + 420 41.924 * [simplify]: Simplified to (/ (- 1 k) 2) 41.924 * [simplify]: Simplified (2 1 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 41.924 * * * * [progress]: [ 70 / 130 ] simplifiying candidate # 41.925 * [simplify]: Simplifying (/ 1 2) 41.925 * * [simplify]: iters left: 2 (3 enodes) 41.926 * * [simplify]: iters left: 1 (12 enodes) 41.929 * * [simplify]: Extracting #0: cost 1 inf + 0 41.929 * * [simplify]: Extracting #1: cost 0 inf + 1 41.929 * [simplify]: Simplified to 1/2 41.929 * [simplify]: Simplified (2 1 1 2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (- 1 k)) 1/2))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 41.929 * * * * [progress]: [ 71 / 130 ] simplifiying candidate # 41.929 * [simplify]: Simplifying (pow (* 2 PI) (/ (- 1 k) 2)) 41.929 * * [simplify]: iters left: 5 (8 enodes) 41.932 * * [simplify]: iters left: 4 (36 enodes) 41.938 * * [simplify]: iters left: 3 (57 enodes) 41.954 * * [simplify]: iters left: 2 (90 enodes) 41.987 * * [simplify]: iters left: 1 (176 enodes) 42.050 * * [simplify]: Extracting #0: cost 1 inf + 0 42.050 * * [simplify]: Extracting #1: cost 13 inf + 0 42.051 * * [simplify]: Extracting #2: cost 55 inf + 1 42.051 * * [simplify]: Extracting #3: cost 86 inf + 6 42.051 * * [simplify]: Extracting #4: cost 68 inf + 2553 42.053 * * [simplify]: Extracting #5: cost 24 inf + 10048 42.056 * * [simplify]: Extracting #6: cost 3 inf + 21580 42.059 * * [simplify]: Extracting #7: cost 0 inf + 23439 42.063 * [simplify]: Simplified to (pow (* 2 PI) (/ (- 1 k) 2)) 42.063 * [simplify]: Simplified (2 1 1 2 1) to (λ (k n) (* (sqrt (* (pow k -1/2) (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 42.063 * * * * [progress]: [ 72 / 130 ] simplifiying candidate # 42.063 * * * * [progress]: [ 73 / 130 ] simplifiying candidate # 42.063 * * * * [progress]: [ 74 / 130 ] simplifiying candidate # 42.063 * * * * [progress]: [ 75 / 130 ] simplifiying candidate # 42.063 * * * * [progress]: [ 76 / 130 ] simplifiying candidate # 42.063 * * * * [progress]: [ 77 / 130 ] simplifiying candidate # 42.063 * * * * [progress]: [ 78 / 130 ] simplifiying candidate # 42.063 * * * * [progress]: [ 79 / 130 ] simplifiying candidate # 42.063 * * * * [progress]: [ 80 / 130 ] simplifiying candidate #real (real->posit16 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))> 42.063 * * * * [progress]: [ 81 / 130 ] simplifiying candidate # 42.063 * [simplify]: Simplifying (* (* 2 PI) n) 42.064 * * [simplify]: iters left: 4 (5 enodes) 42.065 * * [simplify]: iters left: 3 (19 enodes) 42.068 * * [simplify]: iters left: 2 (27 enodes) 42.072 * * [simplify]: iters left: 1 (32 enodes) 42.076 * * [simplify]: Extracting #0: cost 1 inf + 0 42.076 * * [simplify]: Extracting #1: cost 8 inf + 0 42.076 * * [simplify]: Extracting #2: cost 7 inf + 45 42.077 * * [simplify]: Extracting #3: cost 0 inf + 421 42.077 * [simplify]: Simplified to (* (* 2 PI) n) 42.077 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2)))))) 42.077 * * * * [progress]: [ 82 / 130 ] simplifiying candidate # 42.077 * [simplify]: Simplifying (* (* 2 PI) n) 42.077 * * [simplify]: iters left: 4 (5 enodes) 42.079 * * [simplify]: iters left: 3 (19 enodes) 42.082 * * [simplify]: iters left: 2 (27 enodes) 42.086 * * [simplify]: iters left: 1 (32 enodes) 42.090 * * [simplify]: Extracting #0: cost 1 inf + 0 42.090 * * [simplify]: Extracting #1: cost 8 inf + 0 42.090 * * [simplify]: Extracting #2: cost 7 inf + 45 42.090 * * [simplify]: Extracting #3: cost 0 inf + 421 42.090 * [simplify]: Simplified to (* (* 2 PI) n) 42.090 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2)))))) 42.090 * * * * [progress]: [ 83 / 130 ] simplifiying candidate # 42.090 * * * * [progress]: [ 84 / 130 ] simplifiying candidate # 42.090 * [simplify]: Simplifying (+ (+ (log 2) (log PI)) (log n)) 42.090 * * [simplify]: iters left: 5 (8 enodes) 42.093 * * [simplify]: iters left: 4 (28 enodes) 42.100 * * [simplify]: iters left: 3 (36 enodes) 42.105 * * [simplify]: iters left: 2 (42 enodes) 42.110 * * [simplify]: Extracting #0: cost 1 inf + 0 42.110 * * [simplify]: Extracting #1: cost 8 inf + 0 42.111 * * [simplify]: Extracting #2: cost 17 inf + 0 42.111 * * [simplify]: Extracting #3: cost 13 inf + 74 42.111 * * [simplify]: Extracting #4: cost 6 inf + 1015 42.111 * * [simplify]: Extracting #5: cost 0 inf + 2107 42.111 * [simplify]: Simplified to (+ (log 2) (+ (log PI) (log n))) 42.111 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (exp (+ (log 2) (+ (log PI) (log n)))) (/ (- 1 k) 2)))))) 42.112 * * * * [progress]: [ 85 / 130 ] simplifiying candidate # 42.112 * [simplify]: Simplifying (+ (log (* 2 PI)) (log n)) 42.112 * * [simplify]: iters left: 5 (7 enodes) 42.114 * * [simplify]: iters left: 4 (26 enodes) 42.118 * * [simplify]: iters left: 3 (35 enodes) 42.123 * * [simplify]: iters left: 2 (44 enodes) 42.129 * * [simplify]: Extracting #0: cost 1 inf + 0 42.129 * * [simplify]: Extracting #1: cost 8 inf + 0 42.129 * * [simplify]: Extracting #2: cost 18 inf + 0 42.129 * * [simplify]: Extracting #3: cost 15 inf + 74 42.129 * * [simplify]: Extracting #4: cost 6 inf + 918 42.129 * * [simplify]: Extracting #5: cost 0 inf + 1911 42.130 * [simplify]: Simplified to (+ (log (* 2 PI)) (log n)) 42.130 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (exp (+ (log (* 2 PI)) (log n))) (/ (- 1 k) 2)))))) 42.130 * * * * [progress]: [ 86 / 130 ] simplifiying candidate # 42.130 * * * * [progress]: [ 87 / 130 ] simplifiying candidate # 42.130 * * * * [progress]: [ 88 / 130 ] simplifiying candidate # 42.130 * [simplify]: Simplifying (* (* (* (* 2 2) 2) (* (* PI PI) PI)) (* (* n n) n)) 42.130 * * [simplify]: iters left: 6 (11 enodes) 42.134 * * [simplify]: iters left: 5 (47 enodes) 42.144 * * [simplify]: iters left: 4 (115 enodes) 42.194 * * [simplify]: iters left: 3 (384 enodes) 42.530 * * [simplify]: Extracting #0: cost 1 inf + 0 42.531 * * [simplify]: Extracting #1: cost 102 inf + 0 42.533 * * [simplify]: Extracting #2: cost 263 inf + 1026 42.540 * * [simplify]: Extracting #3: cost 88 inf + 24284 42.549 * * [simplify]: Extracting #4: cost 2 inf + 40704 42.559 * * [simplify]: Extracting #5: cost 0 inf + 41008 42.570 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n)) 42.570 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (cbrt (* (* (* (* PI n) (* PI n)) 8) (* PI n))) (/ (- 1 k) 2)))))) 42.570 * * * * [progress]: [ 89 / 130 ] simplifiying candidate # 42.570 * [simplify]: Simplifying (* (* (* (* 2 PI) (* 2 PI)) (* 2 PI)) (* (* n n) n)) 42.570 * * [simplify]: iters left: 6 (9 enodes) 42.573 * * [simplify]: iters left: 5 (45 enodes) 42.585 * * [simplify]: iters left: 4 (116 enodes) 42.652 * * [simplify]: iters left: 3 (371 enodes) 42.943 * * [simplify]: Extracting #0: cost 1 inf + 0 42.943 * * [simplify]: Extracting #1: cost 82 inf + 0 42.944 * * [simplify]: Extracting #2: cost 200 inf + 498 42.948 * * [simplify]: Extracting #3: cost 121 inf + 10421 42.957 * * [simplify]: Extracting #4: cost 5 inf + 33505 42.966 * * [simplify]: Extracting #5: cost 0 inf + 33849 42.981 * * [simplify]: Extracting #6: cost 0 inf + 33809 43.005 * [simplify]: Simplified to (* (* n PI) (* 8 (* (* n PI) (* n PI)))) 43.005 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (cbrt (* (* n PI) (* 8 (* (* n PI) (* n PI))))) (/ (- 1 k) 2)))))) 43.005 * * * * [progress]: [ 90 / 130 ] simplifiying candidate # 43.005 * * * * [progress]: [ 91 / 130 ] simplifiying candidate # 43.005 * * * * [progress]: [ 92 / 130 ] simplifiying candidate # 43.005 * * * * [progress]: [ 93 / 130 ] simplifiying candidate # 43.005 * * * * [progress]: [ 94 / 130 ] simplifiying candidate # 43.006 * [simplify]: Simplifying (cbrt n) 43.006 * * [simplify]: iters left: 1 (2 enodes) 43.007 * * [simplify]: Extracting #0: cost 1 inf + 0 43.007 * * [simplify]: Extracting #1: cost 3 inf + 0 43.007 * * [simplify]: Extracting #2: cost 2 inf + 1 43.007 * * [simplify]: Extracting #3: cost 0 inf + 163 43.007 * [simplify]: Simplified to (cbrt n) 43.007 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (* (* (* 2 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (- 1 k) 2)))))) 43.007 * * * * [progress]: [ 95 / 130 ] simplifiying candidate # 43.007 * [simplify]: Simplifying (sqrt n) 43.007 * * [simplify]: iters left: 1 (2 enodes) 43.008 * * [simplify]: Extracting #0: cost 1 inf + 0 43.008 * * [simplify]: Extracting #1: cost 3 inf + 0 43.008 * * [simplify]: Extracting #2: cost 2 inf + 1 43.008 * * [simplify]: Extracting #3: cost 0 inf + 83 43.009 * [simplify]: Simplified to (sqrt n) 43.009 * [simplify]: Simplified (2 2 1 2 1 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (* (* (* 2 PI) (sqrt n)) (sqrt n)) (/ (- 1 k) 2)))))) 43.009 * * * * [progress]: [ 96 / 130 ] simplifiying candidate # 43.009 * * * * [progress]: [ 97 / 130 ] simplifiying candidate # 43.009 * * * * [progress]: [ 98 / 130 ] simplifiying candidate #real (real->posit16 (* (* 2 PI) n))) (/ (- 1 k) 2))))))> 43.009 * * * * [progress]: [ 99 / 130 ] simplifiying candidate # 43.009 * * * * [progress]: [ 100 / 130 ] simplifiying candidate # 43.009 * [simplify]: Simplifying (* (* 2 PI) n) 43.009 * * [simplify]: iters left: 4 (5 enodes) 43.013 * * [simplify]: iters left: 3 (19 enodes) 43.019 * * [simplify]: iters left: 2 (27 enodes) 43.027 * * [simplify]: iters left: 1 (32 enodes) 43.035 * * [simplify]: Extracting #0: cost 1 inf + 0 43.035 * * [simplify]: Extracting #1: cost 8 inf + 0 43.035 * * [simplify]: Extracting #2: cost 7 inf + 45 43.035 * * [simplify]: Extracting #3: cost 0 inf + 421 43.035 * [simplify]: Simplified to (* (* 2 PI) n) 43.035 * [simplify]: Simplified (2 1 1 2 1 1) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 43.035 * * * * [progress]: [ 101 / 130 ] simplifiying candidate # 43.036 * [simplify]: Simplifying (* (* 2 PI) n) 43.036 * * [simplify]: iters left: 4 (5 enodes) 43.037 * * [simplify]: iters left: 3 (19 enodes) 43.040 * * [simplify]: iters left: 2 (27 enodes) 43.044 * * [simplify]: iters left: 1 (32 enodes) 43.048 * * [simplify]: Extracting #0: cost 1 inf + 0 43.048 * * [simplify]: Extracting #1: cost 8 inf + 0 43.048 * * [simplify]: Extracting #2: cost 7 inf + 45 43.048 * * [simplify]: Extracting #3: cost 0 inf + 421 43.048 * [simplify]: Simplified to (* (* 2 PI) n) 43.048 * [simplify]: Simplified (2 1 1 2 1 1) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 43.048 * * * * [progress]: [ 102 / 130 ] simplifiying candidate # 43.048 * * * * [progress]: [ 103 / 130 ] simplifiying candidate # 43.048 * [simplify]: Simplifying (+ (+ (log 2) (log PI)) (log n)) 43.049 * * [simplify]: iters left: 5 (8 enodes) 43.051 * * [simplify]: iters left: 4 (28 enodes) 43.055 * * [simplify]: iters left: 3 (36 enodes) 43.060 * * [simplify]: iters left: 2 (42 enodes) 43.065 * * [simplify]: Extracting #0: cost 1 inf + 0 43.065 * * [simplify]: Extracting #1: cost 8 inf + 0 43.065 * * [simplify]: Extracting #2: cost 17 inf + 0 43.065 * * [simplify]: Extracting #3: cost 13 inf + 74 43.066 * * [simplify]: Extracting #4: cost 6 inf + 1015 43.066 * * [simplify]: Extracting #5: cost 0 inf + 2107 43.066 * [simplify]: Simplified to (+ (log 2) (+ (log PI) (log n))) 43.066 * [simplify]: Simplified (2 1 1 2 1 1) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (exp (+ (log 2) (+ (log PI) (log n)))) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 43.066 * * * * [progress]: [ 104 / 130 ] simplifiying candidate # 43.066 * [simplify]: Simplifying (+ (log (* 2 PI)) (log n)) 43.067 * * [simplify]: iters left: 5 (7 enodes) 43.070 * * [simplify]: iters left: 4 (26 enodes) 43.078 * * [simplify]: iters left: 3 (35 enodes) 43.088 * * [simplify]: iters left: 2 (44 enodes) 43.099 * * [simplify]: Extracting #0: cost 1 inf + 0 43.099 * * [simplify]: Extracting #1: cost 8 inf + 0 43.099 * * [simplify]: Extracting #2: cost 18 inf + 0 43.099 * * [simplify]: Extracting #3: cost 15 inf + 74 43.100 * * [simplify]: Extracting #4: cost 6 inf + 918 43.100 * * [simplify]: Extracting #5: cost 0 inf + 1911 43.101 * [simplify]: Simplified to (+ (log (* 2 PI)) (log n)) 43.101 * [simplify]: Simplified (2 1 1 2 1 1) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (exp (+ (log (* 2 PI)) (log n))) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 43.101 * * * * [progress]: [ 105 / 130 ] simplifiying candidate # 43.101 * * * * [progress]: [ 106 / 130 ] simplifiying candidate # 43.101 * * * * [progress]: [ 107 / 130 ] simplifiying candidate # 43.101 * [simplify]: Simplifying (* (* (* (* 2 2) 2) (* (* PI PI) PI)) (* (* n n) n)) 43.102 * * [simplify]: iters left: 6 (11 enodes) 43.108 * * [simplify]: iters left: 5 (47 enodes) 43.131 * * [simplify]: iters left: 4 (115 enodes) 43.183 * * [simplify]: iters left: 3 (384 enodes) 43.508 * * [simplify]: Extracting #0: cost 1 inf + 0 43.509 * * [simplify]: Extracting #1: cost 102 inf + 0 43.510 * * [simplify]: Extracting #2: cost 263 inf + 1026 43.516 * * [simplify]: Extracting #3: cost 88 inf + 24284 43.531 * * [simplify]: Extracting #4: cost 2 inf + 40704 43.555 * * [simplify]: Extracting #5: cost 0 inf + 41008 43.574 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n)) 43.574 * [simplify]: Simplified (2 1 1 2 1 1) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (cbrt (* (* (* (* PI n) (* PI n)) 8) (* PI n))) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 43.574 * * * * [progress]: [ 108 / 130 ] simplifiying candidate # 43.575 * [simplify]: Simplifying (* (* (* (* 2 PI) (* 2 PI)) (* 2 PI)) (* (* n n) n)) 43.575 * * [simplify]: iters left: 6 (9 enodes) 43.578 * * [simplify]: iters left: 5 (45 enodes) 43.587 * * [simplify]: iters left: 4 (116 enodes) 43.632 * * [simplify]: iters left: 3 (371 enodes) 43.959 * * [simplify]: Extracting #0: cost 1 inf + 0 43.959 * * [simplify]: Extracting #1: cost 82 inf + 0 43.960 * * [simplify]: Extracting #2: cost 200 inf + 498 43.964 * * [simplify]: Extracting #3: cost 121 inf + 10421 43.976 * * [simplify]: Extracting #4: cost 5 inf + 33505 43.985 * * [simplify]: Extracting #5: cost 0 inf + 33849 43.995 * * [simplify]: Extracting #6: cost 0 inf + 33809 44.004 * [simplify]: Simplified to (* (* n PI) (* 8 (* (* n PI) (* n PI)))) 44.004 * [simplify]: Simplified (2 1 1 2 1 1) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (cbrt (* (* n PI) (* 8 (* (* n PI) (* n PI))))) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 44.004 * * * * [progress]: [ 109 / 130 ] simplifiying candidate # 44.004 * * * * [progress]: [ 110 / 130 ] simplifiying candidate # 44.005 * * * * [progress]: [ 111 / 130 ] simplifiying candidate # 44.005 * * * * [progress]: [ 112 / 130 ] simplifiying candidate # 44.005 * * * * [progress]: [ 113 / 130 ] simplifiying candidate # 44.005 * [simplify]: Simplifying (cbrt n) 44.005 * * [simplify]: iters left: 1 (2 enodes) 44.005 * * [simplify]: Extracting #0: cost 1 inf + 0 44.005 * * [simplify]: Extracting #1: cost 3 inf + 0 44.005 * * [simplify]: Extracting #2: cost 2 inf + 1 44.005 * * [simplify]: Extracting #3: cost 0 inf + 163 44.005 * [simplify]: Simplified to (cbrt n) 44.006 * [simplify]: Simplified (2 1 1 2 1 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* (* 2 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 44.006 * * * * [progress]: [ 114 / 130 ] simplifiying candidate # 44.006 * [simplify]: Simplifying (sqrt n) 44.006 * * [simplify]: iters left: 1 (2 enodes) 44.006 * * [simplify]: Extracting #0: cost 1 inf + 0 44.006 * * [simplify]: Extracting #1: cost 3 inf + 0 44.006 * * [simplify]: Extracting #2: cost 2 inf + 1 44.006 * * [simplify]: Extracting #3: cost 0 inf + 83 44.006 * [simplify]: Simplified to (sqrt n) 44.006 * [simplify]: Simplified (2 1 1 2 1 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* (* 2 PI) (sqrt n)) (sqrt n)) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 44.007 * * * * [progress]: [ 115 / 130 ] simplifiying candidate # 44.007 * * * * [progress]: [ 116 / 130 ] simplifiying candidate # 44.007 * * * * [progress]: [ 117 / 130 ] simplifiying candidate #real (real->posit16 (* (* 2 PI) n))) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))> 44.007 * * * * [progress]: [ 118 / 130 ] simplifiying candidate # 44.007 * * * * [progress]: [ 119 / 130 ] simplifiying candidate # 44.007 * [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))))) 44.007 * * [simplify]: iters left: 6 (37 enodes) 44.018 * * [simplify]: iters left: 5 (187 enodes) 44.084 * * [simplify]: iters left: 4 (488 enodes) 44.341 * * [simplify]: Extracting #0: cost 1 inf + 0 44.341 * * [simplify]: Extracting #1: cost 57 inf + 0 44.342 * * [simplify]: Extracting #2: cost 294 inf + 0 44.343 * * [simplify]: Extracting #3: cost 524 inf + 199 44.346 * * [simplify]: Extracting #4: cost 512 inf + 6095 44.357 * * [simplify]: Extracting #5: cost 310 inf + 78036 44.427 * * [simplify]: Extracting #6: cost 40 inf + 220622 44.518 * * [simplify]: Extracting #7: cost 0 inf + 244981 44.623 * * [simplify]: Extracting #8: cost 0 inf + 243455 44.728 * * [simplify]: Extracting #9: cost 0 inf + 243454 44.802 * [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)))))))) 44.802 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (+ (* (* (* 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)))))))))))) 44.803 * * * * [progress]: [ 120 / 130 ] simplifiying candidate # 44.803 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 44.803 * * [simplify]: iters left: 6 (15 enodes) 44.813 * * [simplify]: iters left: 5 (65 enodes) 44.834 * * [simplify]: iters left: 4 (123 enodes) 44.865 * * [simplify]: iters left: 3 (361 enodes) 45.071 * * [simplify]: Extracting #0: cost 1 inf + 0 45.072 * * [simplify]: Extracting #1: cost 37 inf + 0 45.073 * * [simplify]: Extracting #2: cost 213 inf + 72 45.075 * * [simplify]: Extracting #3: cost 350 inf + 1716 45.084 * * [simplify]: Extracting #4: cost 221 inf + 30028 45.104 * * [simplify]: Extracting #5: cost 33 inf + 78046 45.122 * * [simplify]: Extracting #6: cost 1 inf + 88785 45.152 * * [simplify]: Extracting #7: cost 0 inf + 88926 45.182 * * [simplify]: Extracting #8: cost 0 inf + 88841 45.213 * [simplify]: Simplified to (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) 45.213 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))))))) 45.214 * * * * [progress]: [ 121 / 130 ] simplifiying candidate # 45.214 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 45.214 * * [simplify]: iters left: 6 (16 enodes) 45.227 * * [simplify]: iters left: 5 (67 enodes) 45.251 * * [simplify]: iters left: 4 (134 enodes) 45.297 * * [simplify]: iters left: 3 (407 enodes) 45.495 * * [simplify]: Extracting #0: cost 1 inf + 0 45.495 * * [simplify]: Extracting #1: cost 39 inf + 0 45.496 * * [simplify]: Extracting #2: cost 241 inf + 72 45.499 * * [simplify]: Extracting #3: cost 449 inf + 888 45.510 * * [simplify]: Extracting #4: cost 283 inf + 39678 45.549 * * [simplify]: Extracting #5: cost 24 inf + 116942 45.571 * * [simplify]: Extracting #6: cost 0 inf + 121984 45.592 * * [simplify]: Extracting #7: cost 0 inf + 121983 45.615 * [simplify]: Simplified to (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) 45.616 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))))))) 45.616 * * * * [progress]: [ 122 / 130 ] simplifiying candidate # 45.616 * [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))))) 45.616 * * [simplify]: iters left: 6 (37 enodes) 45.628 * * [simplify]: iters left: 5 (187 enodes) 45.675 * * [simplify]: iters left: 4 (488 enodes) 45.954 * * [simplify]: Extracting #0: cost 1 inf + 0 45.954 * * [simplify]: Extracting #1: cost 57 inf + 0 45.955 * * [simplify]: Extracting #2: cost 294 inf + 0 45.959 * * [simplify]: Extracting #3: cost 524 inf + 199 45.965 * * [simplify]: Extracting #4: cost 512 inf + 6095 45.982 * * [simplify]: Extracting #5: cost 310 inf + 78036 46.048 * * [simplify]: Extracting #6: cost 40 inf + 220622 46.110 * * [simplify]: Extracting #7: cost 0 inf + 244981 46.172 * * [simplify]: Extracting #8: cost 0 inf + 243455 46.275 * * [simplify]: Extracting #9: cost 0 inf + 243454 46.342 * [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)))))))) 46.342 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (+ (* (* (* 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 (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 46.342 * * * * [progress]: [ 123 / 130 ] simplifiying candidate # 46.342 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 46.342 * * [simplify]: iters left: 6 (15 enodes) 46.348 * * [simplify]: iters left: 5 (65 enodes) 46.362 * * [simplify]: iters left: 4 (123 enodes) 46.415 * * [simplify]: iters left: 3 (361 enodes) 46.606 * * [simplify]: Extracting #0: cost 1 inf + 0 46.606 * * [simplify]: Extracting #1: cost 37 inf + 0 46.607 * * [simplify]: Extracting #2: cost 213 inf + 72 46.608 * * [simplify]: Extracting #3: cost 350 inf + 1716 46.612 * * [simplify]: Extracting #4: cost 221 inf + 30028 46.624 * * [simplify]: Extracting #5: cost 33 inf + 78046 46.646 * * [simplify]: Extracting #6: cost 1 inf + 88785 46.665 * * [simplify]: Extracting #7: cost 0 inf + 88926 46.681 * * [simplify]: Extracting #8: cost 0 inf + 88841 46.712 * [simplify]: Simplified to (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) 46.712 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 46.712 * * * * [progress]: [ 124 / 130 ] simplifiying candidate # 46.713 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 46.713 * * [simplify]: iters left: 6 (16 enodes) 46.723 * * [simplify]: iters left: 5 (67 enodes) 46.747 * * [simplify]: iters left: 4 (134 enodes) 46.809 * * [simplify]: iters left: 3 (407 enodes) 47.008 * * [simplify]: Extracting #0: cost 1 inf + 0 47.008 * * [simplify]: Extracting #1: cost 39 inf + 0 47.009 * * [simplify]: Extracting #2: cost 241 inf + 72 47.011 * * [simplify]: Extracting #3: cost 449 inf + 888 47.016 * * [simplify]: Extracting #4: cost 283 inf + 39678 47.046 * * [simplify]: Extracting #5: cost 24 inf + 116942 47.089 * * [simplify]: Extracting #6: cost 0 inf + 121984 47.124 * * [simplify]: Extracting #7: cost 0 inf + 121983 47.160 * [simplify]: Simplified to (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) 47.161 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 47.161 * * * * [progress]: [ 125 / 130 ] simplifiying candidate # 47.161 * [simplify]: Simplifying (* 2 (* n PI)) 47.161 * * [simplify]: iters left: 4 (5 enodes) 47.164 * * [simplify]: iters left: 3 (19 enodes) 47.169 * * [simplify]: iters left: 2 (27 enodes) 47.173 * * [simplify]: iters left: 1 (32 enodes) 47.177 * * [simplify]: Extracting #0: cost 1 inf + 0 47.177 * * [simplify]: Extracting #1: cost 8 inf + 0 47.177 * * [simplify]: Extracting #2: cost 7 inf + 45 47.177 * * [simplify]: Extracting #3: cost 0 inf + 421 47.177 * [simplify]: Simplified to (* (* PI n) 2) 47.177 * [simplify]: Simplified (2 2 1 2 1) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (* (* PI n) 2) (/ (- 1 k) 2)))))) 47.177 * * * * [progress]: [ 126 / 130 ] simplifiying candidate # 47.177 * [simplify]: Simplifying (* 2 (* n PI)) 47.177 * * [simplify]: iters left: 4 (5 enodes) 47.179 * * [simplify]: iters left: 3 (19 enodes) 47.182 * * [simplify]: iters left: 2 (27 enodes) 47.186 * * [simplify]: iters left: 1 (32 enodes) 47.190 * * [simplify]: Extracting #0: cost 1 inf + 0 47.190 * * [simplify]: Extracting #1: cost 8 inf + 0 47.190 * * [simplify]: Extracting #2: cost 7 inf + 45 47.190 * * [simplify]: Extracting #3: cost 0 inf + 421 47.190 * [simplify]: Simplified to (* (* PI n) 2) 47.190 * [simplify]: Simplified (2 2 1 2 1) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (* (* PI n) 2) (/ (- 1 k) 2)))))) 47.190 * * * * [progress]: [ 127 / 130 ] simplifiying candidate # 47.191 * [simplify]: Simplifying (* 2 (* n PI)) 47.191 * * [simplify]: iters left: 4 (5 enodes) 47.192 * * [simplify]: iters left: 3 (19 enodes) 47.196 * * [simplify]: iters left: 2 (27 enodes) 47.204 * * [simplify]: iters left: 1 (32 enodes) 47.214 * * [simplify]: Extracting #0: cost 1 inf + 0 47.214 * * [simplify]: Extracting #1: cost 8 inf + 0 47.214 * * [simplify]: Extracting #2: cost 7 inf + 45 47.214 * * [simplify]: Extracting #3: cost 0 inf + 421 47.215 * [simplify]: Simplified to (* (* PI n) 2) 47.215 * [simplify]: Simplified (2 2 1 2 1) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (* (* PI n) 2) (/ (- 1 k) 2)))))) 47.215 * * * * [progress]: [ 128 / 130 ] simplifiying candidate # 47.215 * [simplify]: Simplifying (* 2 (* n PI)) 47.215 * * [simplify]: iters left: 4 (5 enodes) 47.218 * * [simplify]: iters left: 3 (19 enodes) 47.224 * * [simplify]: iters left: 2 (27 enodes) 47.232 * * [simplify]: iters left: 1 (32 enodes) 47.240 * * [simplify]: Extracting #0: cost 1 inf + 0 47.240 * * [simplify]: Extracting #1: cost 8 inf + 0 47.240 * * [simplify]: Extracting #2: cost 7 inf + 45 47.240 * * [simplify]: Extracting #3: cost 0 inf + 421 47.241 * [simplify]: Simplified to (* (* PI n) 2) 47.241 * [simplify]: Simplified (2 1 1 2 1) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* PI n) 2) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 47.241 * * * * [progress]: [ 129 / 130 ] simplifiying candidate # 47.241 * [simplify]: Simplifying (* 2 (* n PI)) 47.241 * * [simplify]: iters left: 4 (5 enodes) 47.244 * * [simplify]: iters left: 3 (19 enodes) 47.250 * * [simplify]: iters left: 2 (27 enodes) 47.258 * * [simplify]: iters left: 1 (32 enodes) 47.266 * * [simplify]: Extracting #0: cost 1 inf + 0 47.266 * * [simplify]: Extracting #1: cost 8 inf + 0 47.266 * * [simplify]: Extracting #2: cost 7 inf + 45 47.266 * * [simplify]: Extracting #3: cost 0 inf + 421 47.267 * [simplify]: Simplified to (* (* PI n) 2) 47.267 * [simplify]: Simplified (2 1 1 2 1) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* PI n) 2) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 47.267 * * * * [progress]: [ 130 / 130 ] simplifiying candidate # 47.267 * [simplify]: Simplifying (* 2 (* n PI)) 47.267 * * [simplify]: iters left: 4 (5 enodes) 47.270 * * [simplify]: iters left: 3 (19 enodes) 47.276 * * [simplify]: iters left: 2 (27 enodes) 47.284 * * [simplify]: iters left: 1 (32 enodes) 47.289 * * [simplify]: Extracting #0: cost 1 inf + 0 47.289 * * [simplify]: Extracting #1: cost 8 inf + 0 47.289 * * [simplify]: Extracting #2: cost 7 inf + 45 47.290 * * [simplify]: Extracting #3: cost 0 inf + 421 47.290 * [simplify]: Simplified to (* (* PI n) 2) 47.290 * [simplify]: Simplified (2 1 1 2 1) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* PI n) 2) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 47.290 * * * [progress]: adding candidates to table 49.323 * * [progress]: iteration 4 / 4 49.323 * * * [progress]: picking best candidate 49.365 * * * * [pick]: Picked # 49.365 * * * [progress]: localizing error 49.414 * * * [progress]: generating rewritten candidates 49.414 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 49.437 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 49.452 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 49.468 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 49.505 * * * [progress]: generating series expansions 49.505 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 49.506 * [backup-simplify]: Simplify (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) into (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) 49.506 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in (n k) around 0 49.506 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in k 49.507 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in k 49.507 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in k 49.507 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in k 49.507 * [taylor]: Taking taylor expansion of 1/4 in k 49.507 * [backup-simplify]: Simplify 1/4 into 1/4 49.507 * [taylor]: Taking taylor expansion of (- 1 k) in k 49.507 * [taylor]: Taking taylor expansion of 1 in k 49.507 * [backup-simplify]: Simplify 1 into 1 49.507 * [taylor]: Taking taylor expansion of k in k 49.507 * [backup-simplify]: Simplify 0 into 0 49.507 * [backup-simplify]: Simplify 1 into 1 49.507 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 49.507 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 49.507 * [taylor]: Taking taylor expansion of 2 in k 49.507 * [backup-simplify]: Simplify 2 into 2 49.507 * [taylor]: Taking taylor expansion of (* n PI) in k 49.507 * [taylor]: Taking taylor expansion of n in k 49.507 * [backup-simplify]: Simplify n into n 49.507 * [taylor]: Taking taylor expansion of PI in k 49.507 * [backup-simplify]: Simplify PI into PI 49.507 * [backup-simplify]: Simplify (* n PI) into (* n PI) 49.507 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 49.507 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 49.508 * [backup-simplify]: Simplify (- 0) into 0 49.508 * [backup-simplify]: Simplify (+ 1 0) into 1 49.509 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 49.509 * [backup-simplify]: Simplify (* 1/4 (log (* 2 (* n PI)))) into (* 1/4 (log (* 2 (* n PI)))) 49.509 * [backup-simplify]: Simplify (exp (* 1/4 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/4) 49.509 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n 49.509 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n 49.509 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n 49.509 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n 49.509 * [taylor]: Taking taylor expansion of 1/4 in n 49.509 * [backup-simplify]: Simplify 1/4 into 1/4 49.509 * [taylor]: Taking taylor expansion of (- 1 k) in n 49.509 * [taylor]: Taking taylor expansion of 1 in n 49.509 * [backup-simplify]: Simplify 1 into 1 49.509 * [taylor]: Taking taylor expansion of k in n 49.509 * [backup-simplify]: Simplify k into k 49.509 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 49.509 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 49.509 * [taylor]: Taking taylor expansion of 2 in n 49.509 * [backup-simplify]: Simplify 2 into 2 49.509 * [taylor]: Taking taylor expansion of (* n PI) in n 49.509 * [taylor]: Taking taylor expansion of n in n 49.509 * [backup-simplify]: Simplify 0 into 0 49.510 * [backup-simplify]: Simplify 1 into 1 49.510 * [taylor]: Taking taylor expansion of PI in n 49.510 * [backup-simplify]: Simplify PI into PI 49.510 * [backup-simplify]: Simplify (* 0 PI) into 0 49.510 * [backup-simplify]: Simplify (* 2 0) into 0 49.512 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 49.514 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 49.515 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 49.515 * [backup-simplify]: Simplify (- k) into (- k) 49.515 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 49.515 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k)) 49.522 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 49.523 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 49.524 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 49.524 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n 49.524 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n 49.524 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n 49.524 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n 49.524 * [taylor]: Taking taylor expansion of 1/4 in n 49.524 * [backup-simplify]: Simplify 1/4 into 1/4 49.524 * [taylor]: Taking taylor expansion of (- 1 k) in n 49.524 * [taylor]: Taking taylor expansion of 1 in n 49.524 * [backup-simplify]: Simplify 1 into 1 49.524 * [taylor]: Taking taylor expansion of k in n 49.524 * [backup-simplify]: Simplify k into k 49.524 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 49.525 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 49.525 * [taylor]: Taking taylor expansion of 2 in n 49.525 * [backup-simplify]: Simplify 2 into 2 49.525 * [taylor]: Taking taylor expansion of (* n PI) in n 49.525 * [taylor]: Taking taylor expansion of n in n 49.525 * [backup-simplify]: Simplify 0 into 0 49.525 * [backup-simplify]: Simplify 1 into 1 49.525 * [taylor]: Taking taylor expansion of PI in n 49.525 * [backup-simplify]: Simplify PI into PI 49.525 * [backup-simplify]: Simplify (* 0 PI) into 0 49.526 * [backup-simplify]: Simplify (* 2 0) into 0 49.528 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 49.529 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 49.530 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 49.530 * [backup-simplify]: Simplify (- k) into (- k) 49.530 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 49.530 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k)) 49.532 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 49.533 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 49.534 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 49.534 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 49.534 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 49.534 * [taylor]: Taking taylor expansion of 1/4 in k 49.534 * [backup-simplify]: Simplify 1/4 into 1/4 49.534 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 49.534 * [taylor]: Taking taylor expansion of (- 1 k) in k 49.534 * [taylor]: Taking taylor expansion of 1 in k 49.534 * [backup-simplify]: Simplify 1 into 1 49.534 * [taylor]: Taking taylor expansion of k in k 49.534 * [backup-simplify]: Simplify 0 into 0 49.535 * [backup-simplify]: Simplify 1 into 1 49.535 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 49.535 * [taylor]: Taking taylor expansion of (log n) in k 49.535 * [taylor]: Taking taylor expansion of n in k 49.535 * [backup-simplify]: Simplify n into n 49.535 * [backup-simplify]: Simplify (log n) into (log n) 49.535 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 49.535 * [taylor]: Taking taylor expansion of (* 2 PI) in k 49.535 * [taylor]: Taking taylor expansion of 2 in k 49.535 * [backup-simplify]: Simplify 2 into 2 49.535 * [taylor]: Taking taylor expansion of PI in k 49.535 * [backup-simplify]: Simplify PI into PI 49.535 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 49.536 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 49.537 * [backup-simplify]: Simplify (- 0) into 0 49.537 * [backup-simplify]: Simplify (+ 1 0) into 1 49.538 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 49.539 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 49.539 * [backup-simplify]: Simplify (* 1/4 (+ (log n) (log (* 2 PI)))) into (* 1/4 (+ (log n) (log (* 2 PI)))) 49.540 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 49.541 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 49.541 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 49.542 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 49.543 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 49.543 * [backup-simplify]: Simplify (- 0) into 0 49.544 * [backup-simplify]: Simplify (+ 0 0) into 0 49.544 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 k))) into 0 49.545 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 49.545 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 49.546 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 49.546 * [taylor]: Taking taylor expansion of 0 in k 49.547 * [backup-simplify]: Simplify 0 into 0 49.547 * [backup-simplify]: Simplify 0 into 0 49.547 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 49.547 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 49.548 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 49.549 * [backup-simplify]: Simplify (+ 0 0) into 0 49.549 * [backup-simplify]: Simplify (- 1) into -1 49.549 * [backup-simplify]: Simplify (+ 0 -1) into -1 49.550 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 49.551 * [backup-simplify]: Simplify (+ (* 1/4 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 49.553 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) 49.555 * [backup-simplify]: Simplify (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) into (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) 49.556 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 49.556 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 49.558 * [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 49.558 * [backup-simplify]: Simplify (- 0) into 0 49.558 * [backup-simplify]: Simplify (+ 0 0) into 0 49.559 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 49.560 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 49.561 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 49.562 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 49.562 * [taylor]: Taking taylor expansion of 0 in k 49.562 * [backup-simplify]: Simplify 0 into 0 49.562 * [backup-simplify]: Simplify 0 into 0 49.562 * [backup-simplify]: Simplify 0 into 0 49.563 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 49.564 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 49.568 * [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 49.568 * [backup-simplify]: Simplify (+ 0 0) into 0 49.568 * [backup-simplify]: Simplify (- 0) into 0 49.569 * [backup-simplify]: Simplify (+ 0 0) into 0 49.571 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 49.573 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 49.577 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) 49.581 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) into (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) 49.586 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) (* k 1)) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) into (- (+ (* 1/16 (* (log (* 2 PI)) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/32 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/4 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/4 (* k (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI))))))) 49.587 * [backup-simplify]: Simplify (pow (* (* 2 PI) (/ 1 n)) (/ (/ (- 1 (/ 1 k)) 2) 2)) into (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) 49.587 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in (n k) around 0 49.587 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in k 49.587 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 49.587 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 49.587 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in k 49.587 * [taylor]: Taking taylor expansion of 1/4 in k 49.587 * [backup-simplify]: Simplify 1/4 into 1/4 49.587 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 49.587 * [taylor]: Taking taylor expansion of 1 in k 49.587 * [backup-simplify]: Simplify 1 into 1 49.587 * [taylor]: Taking taylor expansion of (/ 1 k) in k 49.587 * [taylor]: Taking taylor expansion of k in k 49.587 * [backup-simplify]: Simplify 0 into 0 49.587 * [backup-simplify]: Simplify 1 into 1 49.587 * [backup-simplify]: Simplify (/ 1 1) into 1 49.588 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 49.588 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 49.588 * [taylor]: Taking taylor expansion of 2 in k 49.588 * [backup-simplify]: Simplify 2 into 2 49.588 * [taylor]: Taking taylor expansion of (/ PI n) in k 49.588 * [taylor]: Taking taylor expansion of PI in k 49.588 * [backup-simplify]: Simplify PI into PI 49.588 * [taylor]: Taking taylor expansion of n in k 49.588 * [backup-simplify]: Simplify n into n 49.588 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 49.588 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 49.588 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 49.588 * [backup-simplify]: Simplify (- 1) into -1 49.588 * [backup-simplify]: Simplify (+ 0 -1) into -1 49.589 * [backup-simplify]: Simplify (* 1/4 -1) into -1/4 49.589 * [backup-simplify]: Simplify (* -1/4 (log (* 2 (/ PI n)))) into (* -1/4 (log (* 2 (/ PI n)))) 49.589 * [backup-simplify]: Simplify (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 49.589 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n 49.589 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 49.589 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 49.589 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n 49.589 * [taylor]: Taking taylor expansion of 1/4 in n 49.589 * [backup-simplify]: Simplify 1/4 into 1/4 49.589 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 49.589 * [taylor]: Taking taylor expansion of 1 in n 49.589 * [backup-simplify]: Simplify 1 into 1 49.589 * [taylor]: Taking taylor expansion of (/ 1 k) in n 49.589 * [taylor]: Taking taylor expansion of k in n 49.589 * [backup-simplify]: Simplify k into k 49.589 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 49.589 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 49.589 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 49.589 * [taylor]: Taking taylor expansion of 2 in n 49.589 * [backup-simplify]: Simplify 2 into 2 49.589 * [taylor]: Taking taylor expansion of (/ PI n) in n 49.589 * [taylor]: Taking taylor expansion of PI in n 49.589 * [backup-simplify]: Simplify PI into PI 49.589 * [taylor]: Taking taylor expansion of n in n 49.589 * [backup-simplify]: Simplify 0 into 0 49.589 * [backup-simplify]: Simplify 1 into 1 49.589 * [backup-simplify]: Simplify (/ PI 1) into PI 49.590 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 49.590 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 49.590 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 49.590 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 49.590 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k))) 49.592 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 49.592 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 49.593 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 49.593 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n 49.593 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 49.593 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 49.593 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n 49.593 * [taylor]: Taking taylor expansion of 1/4 in n 49.593 * [backup-simplify]: Simplify 1/4 into 1/4 49.593 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 49.593 * [taylor]: Taking taylor expansion of 1 in n 49.593 * [backup-simplify]: Simplify 1 into 1 49.593 * [taylor]: Taking taylor expansion of (/ 1 k) in n 49.593 * [taylor]: Taking taylor expansion of k in n 49.593 * [backup-simplify]: Simplify k into k 49.593 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 49.593 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 49.593 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 49.593 * [taylor]: Taking taylor expansion of 2 in n 49.593 * [backup-simplify]: Simplify 2 into 2 49.593 * [taylor]: Taking taylor expansion of (/ PI n) in n 49.593 * [taylor]: Taking taylor expansion of PI in n 49.593 * [backup-simplify]: Simplify PI into PI 49.593 * [taylor]: Taking taylor expansion of n in n 49.593 * [backup-simplify]: Simplify 0 into 0 49.593 * [backup-simplify]: Simplify 1 into 1 49.594 * [backup-simplify]: Simplify (/ PI 1) into PI 49.594 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 49.594 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 49.594 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 49.594 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 49.595 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k))) 49.595 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 49.596 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 49.597 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 49.597 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 49.597 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 49.597 * [taylor]: Taking taylor expansion of 1/4 in k 49.597 * [backup-simplify]: Simplify 1/4 into 1/4 49.597 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 49.597 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 49.597 * [taylor]: Taking taylor expansion of 1 in k 49.597 * [backup-simplify]: Simplify 1 into 1 49.597 * [taylor]: Taking taylor expansion of (/ 1 k) in k 49.597 * [taylor]: Taking taylor expansion of k in k 49.597 * [backup-simplify]: Simplify 0 into 0 49.597 * [backup-simplify]: Simplify 1 into 1 49.597 * [backup-simplify]: Simplify (/ 1 1) into 1 49.597 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 49.597 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 49.597 * [taylor]: Taking taylor expansion of (* 2 PI) in k 49.597 * [taylor]: Taking taylor expansion of 2 in k 49.597 * [backup-simplify]: Simplify 2 into 2 49.597 * [taylor]: Taking taylor expansion of PI in k 49.597 * [backup-simplify]: Simplify PI into PI 49.598 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 49.598 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 49.598 * [taylor]: Taking taylor expansion of (log n) in k 49.598 * [taylor]: Taking taylor expansion of n in k 49.598 * [backup-simplify]: Simplify n into n 49.598 * [backup-simplify]: Simplify (log n) into (log n) 49.599 * [backup-simplify]: Simplify (- 1) into -1 49.599 * [backup-simplify]: Simplify (+ 0 -1) into -1 49.599 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 49.600 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 49.600 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 49.601 * [backup-simplify]: Simplify (* 1/4 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/4 (- (log (* 2 PI)) (log n))) 49.602 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 49.602 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 49.603 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 49.603 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 49.604 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 49.604 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 49.605 * [backup-simplify]: Simplify (- 0) into 0 49.605 * [backup-simplify]: Simplify (+ 0 0) into 0 49.605 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 (/ 1 k)))) into 0 49.606 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 49.607 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 49.608 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 49.608 * [taylor]: Taking taylor expansion of 0 in k 49.608 * [backup-simplify]: Simplify 0 into 0 49.608 * [backup-simplify]: Simplify 0 into 0 49.608 * [backup-simplify]: Simplify 0 into 0 49.609 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 49.610 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 49.614 * [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 49.614 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 49.614 * [backup-simplify]: Simplify (- 0) into 0 49.615 * [backup-simplify]: Simplify (+ 0 0) into 0 49.616 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 49.617 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 49.618 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 49.621 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 49.621 * [taylor]: Taking taylor expansion of 0 in k 49.621 * [backup-simplify]: Simplify 0 into 0 49.621 * [backup-simplify]: Simplify 0 into 0 49.621 * [backup-simplify]: Simplify 0 into 0 49.621 * [backup-simplify]: Simplify 0 into 0 49.622 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 49.623 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 49.634 * [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 49.635 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 49.635 * [backup-simplify]: Simplify (- 0) into 0 49.636 * [backup-simplify]: Simplify (+ 0 0) into 0 49.637 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 49.638 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 49.640 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 49.643 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 49.643 * [taylor]: Taking taylor expansion of 0 in k 49.643 * [backup-simplify]: Simplify 0 into 0 49.643 * [backup-simplify]: Simplify 0 into 0 49.644 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 49.645 * [backup-simplify]: Simplify (pow (* (* 2 PI) (/ 1 (- n))) (/ (/ (- 1 (/ 1 (- k))) 2) 2)) into (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) 49.645 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in (n k) around 0 49.645 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in k 49.645 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 49.645 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 49.645 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in k 49.645 * [taylor]: Taking taylor expansion of 1/4 in k 49.645 * [backup-simplify]: Simplify 1/4 into 1/4 49.645 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 49.645 * [taylor]: Taking taylor expansion of (/ 1 k) in k 49.645 * [taylor]: Taking taylor expansion of k in k 49.646 * [backup-simplify]: Simplify 0 into 0 49.646 * [backup-simplify]: Simplify 1 into 1 49.646 * [backup-simplify]: Simplify (/ 1 1) into 1 49.646 * [taylor]: Taking taylor expansion of 1 in k 49.646 * [backup-simplify]: Simplify 1 into 1 49.646 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 49.646 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 49.646 * [taylor]: Taking taylor expansion of -2 in k 49.646 * [backup-simplify]: Simplify -2 into -2 49.646 * [taylor]: Taking taylor expansion of (/ PI n) in k 49.646 * [taylor]: Taking taylor expansion of PI in k 49.646 * [backup-simplify]: Simplify PI into PI 49.646 * [taylor]: Taking taylor expansion of n in k 49.646 * [backup-simplify]: Simplify n into n 49.646 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 49.646 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 49.646 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 49.647 * [backup-simplify]: Simplify (+ 1 0) into 1 49.647 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 49.647 * [backup-simplify]: Simplify (* 1/4 (log (* -2 (/ PI n)))) into (* 1/4 (log (* -2 (/ PI n)))) 49.648 * [backup-simplify]: Simplify (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/4 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 49.648 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n 49.648 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 49.648 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 49.648 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n 49.648 * [taylor]: Taking taylor expansion of 1/4 in n 49.648 * [backup-simplify]: Simplify 1/4 into 1/4 49.648 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 49.648 * [taylor]: Taking taylor expansion of (/ 1 k) in n 49.648 * [taylor]: Taking taylor expansion of k in n 49.648 * [backup-simplify]: Simplify k into k 49.648 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 49.648 * [taylor]: Taking taylor expansion of 1 in n 49.648 * [backup-simplify]: Simplify 1 into 1 49.648 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 49.648 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 49.648 * [taylor]: Taking taylor expansion of -2 in n 49.648 * [backup-simplify]: Simplify -2 into -2 49.648 * [taylor]: Taking taylor expansion of (/ PI n) in n 49.648 * [taylor]: Taking taylor expansion of PI in n 49.648 * [backup-simplify]: Simplify PI into PI 49.648 * [taylor]: Taking taylor expansion of n in n 49.648 * [backup-simplify]: Simplify 0 into 0 49.648 * [backup-simplify]: Simplify 1 into 1 49.649 * [backup-simplify]: Simplify (/ PI 1) into PI 49.649 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 49.650 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 49.650 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 49.650 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1)) 49.651 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 49.652 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 49.653 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 49.653 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n 49.653 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 49.653 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 49.653 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n 49.653 * [taylor]: Taking taylor expansion of 1/4 in n 49.653 * [backup-simplify]: Simplify 1/4 into 1/4 49.653 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 49.653 * [taylor]: Taking taylor expansion of (/ 1 k) in n 49.653 * [taylor]: Taking taylor expansion of k in n 49.653 * [backup-simplify]: Simplify k into k 49.653 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 49.653 * [taylor]: Taking taylor expansion of 1 in n 49.653 * [backup-simplify]: Simplify 1 into 1 49.653 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 49.653 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 49.653 * [taylor]: Taking taylor expansion of -2 in n 49.653 * [backup-simplify]: Simplify -2 into -2 49.653 * [taylor]: Taking taylor expansion of (/ PI n) in n 49.653 * [taylor]: Taking taylor expansion of PI in n 49.653 * [backup-simplify]: Simplify PI into PI 49.653 * [taylor]: Taking taylor expansion of n in n 49.653 * [backup-simplify]: Simplify 0 into 0 49.653 * [backup-simplify]: Simplify 1 into 1 49.653 * [backup-simplify]: Simplify (/ PI 1) into PI 49.654 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 49.654 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 49.654 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 49.654 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1)) 49.655 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 49.656 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 49.657 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 49.657 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 49.657 * [taylor]: Taking taylor expansion of (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 49.657 * [taylor]: Taking taylor expansion of 1/4 in k 49.657 * [backup-simplify]: Simplify 1/4 into 1/4 49.657 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 49.657 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 49.657 * [taylor]: Taking taylor expansion of (/ 1 k) in k 49.657 * [taylor]: Taking taylor expansion of k in k 49.657 * [backup-simplify]: Simplify 0 into 0 49.657 * [backup-simplify]: Simplify 1 into 1 49.657 * [backup-simplify]: Simplify (/ 1 1) into 1 49.657 * [taylor]: Taking taylor expansion of 1 in k 49.657 * [backup-simplify]: Simplify 1 into 1 49.657 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 49.657 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 49.657 * [taylor]: Taking taylor expansion of (* -2 PI) in k 49.657 * [taylor]: Taking taylor expansion of -2 in k 49.657 * [backup-simplify]: Simplify -2 into -2 49.657 * [taylor]: Taking taylor expansion of PI in k 49.657 * [backup-simplify]: Simplify PI into PI 49.658 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 49.658 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 49.658 * [taylor]: Taking taylor expansion of (log n) in k 49.658 * [taylor]: Taking taylor expansion of n in k 49.658 * [backup-simplify]: Simplify n into n 49.658 * [backup-simplify]: Simplify (log n) into (log n) 49.658 * [backup-simplify]: Simplify (+ 1 0) into 1 49.659 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 49.659 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 49.660 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 49.660 * [backup-simplify]: Simplify (* 1/4 (- (log (* -2 PI)) (log n))) into (* 1/4 (- (log (* -2 PI)) (log n))) 49.661 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 49.662 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 49.662 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 49.663 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 49.664 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 49.664 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 49.664 * [backup-simplify]: Simplify (+ 0 0) into 0 49.664 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (+ (/ 1 k) 1))) into 0 49.665 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 49.666 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 49.667 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 49.667 * [taylor]: Taking taylor expansion of 0 in k 49.667 * [backup-simplify]: Simplify 0 into 0 49.667 * [backup-simplify]: Simplify 0 into 0 49.667 * [backup-simplify]: Simplify 0 into 0 49.667 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 49.668 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 49.670 * [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 49.670 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 49.670 * [backup-simplify]: Simplify (+ 0 0) into 0 49.671 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 49.672 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 49.673 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 49.674 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 49.674 * [taylor]: Taking taylor expansion of 0 in k 49.674 * [backup-simplify]: Simplify 0 into 0 49.674 * [backup-simplify]: Simplify 0 into 0 49.674 * [backup-simplify]: Simplify 0 into 0 49.674 * [backup-simplify]: Simplify 0 into 0 49.675 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 49.675 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 49.678 * [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 49.678 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 49.679 * [backup-simplify]: Simplify (+ 0 0) into 0 49.680 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 49.681 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 49.683 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 49.686 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 49.686 * [taylor]: Taking taylor expansion of 0 in k 49.686 * [backup-simplify]: Simplify 0 into 0 49.686 * [backup-simplify]: Simplify 0 into 0 49.688 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 49.688 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 49.688 * [backup-simplify]: Simplify (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) into (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) 49.688 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in (n k) around 0 49.688 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in k 49.688 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in k 49.688 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in k 49.688 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in k 49.688 * [taylor]: Taking taylor expansion of 1/4 in k 49.689 * [backup-simplify]: Simplify 1/4 into 1/4 49.689 * [taylor]: Taking taylor expansion of (- 1 k) in k 49.689 * [taylor]: Taking taylor expansion of 1 in k 49.689 * [backup-simplify]: Simplify 1 into 1 49.689 * [taylor]: Taking taylor expansion of k in k 49.689 * [backup-simplify]: Simplify 0 into 0 49.689 * [backup-simplify]: Simplify 1 into 1 49.689 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 49.689 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 49.689 * [taylor]: Taking taylor expansion of 2 in k 49.689 * [backup-simplify]: Simplify 2 into 2 49.689 * [taylor]: Taking taylor expansion of (* n PI) in k 49.689 * [taylor]: Taking taylor expansion of n in k 49.689 * [backup-simplify]: Simplify n into n 49.689 * [taylor]: Taking taylor expansion of PI in k 49.689 * [backup-simplify]: Simplify PI into PI 49.689 * [backup-simplify]: Simplify (* n PI) into (* n PI) 49.689 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 49.689 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 49.689 * [backup-simplify]: Simplify (- 0) into 0 49.690 * [backup-simplify]: Simplify (+ 1 0) into 1 49.690 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 49.690 * [backup-simplify]: Simplify (* 1/4 (log (* 2 (* n PI)))) into (* 1/4 (log (* 2 (* n PI)))) 49.691 * [backup-simplify]: Simplify (exp (* 1/4 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/4) 49.691 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n 49.691 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n 49.691 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n 49.691 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n 49.691 * [taylor]: Taking taylor expansion of 1/4 in n 49.691 * [backup-simplify]: Simplify 1/4 into 1/4 49.691 * [taylor]: Taking taylor expansion of (- 1 k) in n 49.691 * [taylor]: Taking taylor expansion of 1 in n 49.691 * [backup-simplify]: Simplify 1 into 1 49.691 * [taylor]: Taking taylor expansion of k in n 49.691 * [backup-simplify]: Simplify k into k 49.691 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 49.691 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 49.691 * [taylor]: Taking taylor expansion of 2 in n 49.691 * [backup-simplify]: Simplify 2 into 2 49.691 * [taylor]: Taking taylor expansion of (* n PI) in n 49.691 * [taylor]: Taking taylor expansion of n in n 49.691 * [backup-simplify]: Simplify 0 into 0 49.691 * [backup-simplify]: Simplify 1 into 1 49.691 * [taylor]: Taking taylor expansion of PI in n 49.691 * [backup-simplify]: Simplify PI into PI 49.692 * [backup-simplify]: Simplify (* 0 PI) into 0 49.692 * [backup-simplify]: Simplify (* 2 0) into 0 49.693 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 49.695 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 49.696 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 49.696 * [backup-simplify]: Simplify (- k) into (- k) 49.696 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 49.696 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k)) 49.697 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 49.698 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 49.699 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 49.699 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n 49.700 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n 49.700 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n 49.700 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n 49.700 * [taylor]: Taking taylor expansion of 1/4 in n 49.700 * [backup-simplify]: Simplify 1/4 into 1/4 49.700 * [taylor]: Taking taylor expansion of (- 1 k) in n 49.700 * [taylor]: Taking taylor expansion of 1 in n 49.700 * [backup-simplify]: Simplify 1 into 1 49.700 * [taylor]: Taking taylor expansion of k in n 49.700 * [backup-simplify]: Simplify k into k 49.700 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 49.700 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 49.700 * [taylor]: Taking taylor expansion of 2 in n 49.700 * [backup-simplify]: Simplify 2 into 2 49.700 * [taylor]: Taking taylor expansion of (* n PI) in n 49.700 * [taylor]: Taking taylor expansion of n in n 49.700 * [backup-simplify]: Simplify 0 into 0 49.700 * [backup-simplify]: Simplify 1 into 1 49.700 * [taylor]: Taking taylor expansion of PI in n 49.700 * [backup-simplify]: Simplify PI into PI 49.700 * [backup-simplify]: Simplify (* 0 PI) into 0 49.701 * [backup-simplify]: Simplify (* 2 0) into 0 49.703 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 49.704 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 49.705 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 49.705 * [backup-simplify]: Simplify (- k) into (- k) 49.705 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 49.705 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k)) 49.707 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 49.708 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 49.709 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 49.709 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 49.709 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 49.709 * [taylor]: Taking taylor expansion of 1/4 in k 49.709 * [backup-simplify]: Simplify 1/4 into 1/4 49.709 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 49.709 * [taylor]: Taking taylor expansion of (- 1 k) in k 49.709 * [taylor]: Taking taylor expansion of 1 in k 49.709 * [backup-simplify]: Simplify 1 into 1 49.709 * [taylor]: Taking taylor expansion of k in k 49.709 * [backup-simplify]: Simplify 0 into 0 49.709 * [backup-simplify]: Simplify 1 into 1 49.709 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 49.709 * [taylor]: Taking taylor expansion of (log n) in k 49.709 * [taylor]: Taking taylor expansion of n in k 49.709 * [backup-simplify]: Simplify n into n 49.709 * [backup-simplify]: Simplify (log n) into (log n) 49.709 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 49.709 * [taylor]: Taking taylor expansion of (* 2 PI) in k 49.709 * [taylor]: Taking taylor expansion of 2 in k 49.709 * [backup-simplify]: Simplify 2 into 2 49.709 * [taylor]: Taking taylor expansion of PI in k 49.709 * [backup-simplify]: Simplify PI into PI 49.710 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 49.711 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 49.711 * [backup-simplify]: Simplify (- 0) into 0 49.712 * [backup-simplify]: Simplify (+ 1 0) into 1 49.713 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 49.714 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 49.715 * [backup-simplify]: Simplify (* 1/4 (+ (log n) (log (* 2 PI)))) into (* 1/4 (+ (log n) (log (* 2 PI)))) 49.716 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 49.717 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 49.718 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 49.719 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 49.721 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 49.721 * [backup-simplify]: Simplify (- 0) into 0 49.721 * [backup-simplify]: Simplify (+ 0 0) into 0 49.722 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 k))) into 0 49.723 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 49.724 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 49.726 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 49.726 * [taylor]: Taking taylor expansion of 0 in k 49.726 * [backup-simplify]: Simplify 0 into 0 49.726 * [backup-simplify]: Simplify 0 into 0 49.727 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 49.728 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 49.729 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 49.730 * [backup-simplify]: Simplify (+ 0 0) into 0 49.730 * [backup-simplify]: Simplify (- 1) into -1 49.731 * [backup-simplify]: Simplify (+ 0 -1) into -1 49.732 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 49.734 * [backup-simplify]: Simplify (+ (* 1/4 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 49.737 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) 49.740 * [backup-simplify]: Simplify (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) into (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) 49.741 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 49.742 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 49.746 * [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 49.746 * [backup-simplify]: Simplify (- 0) into 0 49.747 * [backup-simplify]: Simplify (+ 0 0) into 0 49.747 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 49.749 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 49.750 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 49.753 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 49.753 * [taylor]: Taking taylor expansion of 0 in k 49.753 * [backup-simplify]: Simplify 0 into 0 49.753 * [backup-simplify]: Simplify 0 into 0 49.753 * [backup-simplify]: Simplify 0 into 0 49.761 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 49.763 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 49.766 * [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 49.766 * [backup-simplify]: Simplify (+ 0 0) into 0 49.767 * [backup-simplify]: Simplify (- 0) into 0 49.767 * [backup-simplify]: Simplify (+ 0 0) into 0 49.769 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 49.771 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 49.775 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) 49.780 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) into (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) 49.789 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) (* k 1)) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) into (- (+ (* 1/16 (* (log (* 2 PI)) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/32 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/4 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/4 (* k (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI))))))) 49.789 * [backup-simplify]: Simplify (pow (* (* 2 PI) (/ 1 n)) (/ (/ (- 1 (/ 1 k)) 2) 2)) into (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) 49.790 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in (n k) around 0 49.790 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in k 49.790 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 49.790 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 49.790 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in k 49.790 * [taylor]: Taking taylor expansion of 1/4 in k 49.790 * [backup-simplify]: Simplify 1/4 into 1/4 49.790 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 49.790 * [taylor]: Taking taylor expansion of 1 in k 49.790 * [backup-simplify]: Simplify 1 into 1 49.790 * [taylor]: Taking taylor expansion of (/ 1 k) in k 49.790 * [taylor]: Taking taylor expansion of k in k 49.790 * [backup-simplify]: Simplify 0 into 0 49.790 * [backup-simplify]: Simplify 1 into 1 49.790 * [backup-simplify]: Simplify (/ 1 1) into 1 49.790 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 49.790 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 49.790 * [taylor]: Taking taylor expansion of 2 in k 49.790 * [backup-simplify]: Simplify 2 into 2 49.791 * [taylor]: Taking taylor expansion of (/ PI n) in k 49.791 * [taylor]: Taking taylor expansion of PI in k 49.791 * [backup-simplify]: Simplify PI into PI 49.791 * [taylor]: Taking taylor expansion of n in k 49.791 * [backup-simplify]: Simplify n into n 49.791 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 49.791 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 49.791 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 49.791 * [backup-simplify]: Simplify (- 1) into -1 49.792 * [backup-simplify]: Simplify (+ 0 -1) into -1 49.792 * [backup-simplify]: Simplify (* 1/4 -1) into -1/4 49.792 * [backup-simplify]: Simplify (* -1/4 (log (* 2 (/ PI n)))) into (* -1/4 (log (* 2 (/ PI n)))) 49.793 * [backup-simplify]: Simplify (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 49.793 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n 49.793 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 49.793 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 49.793 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n 49.793 * [taylor]: Taking taylor expansion of 1/4 in n 49.793 * [backup-simplify]: Simplify 1/4 into 1/4 49.793 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 49.793 * [taylor]: Taking taylor expansion of 1 in n 49.793 * [backup-simplify]: Simplify 1 into 1 49.793 * [taylor]: Taking taylor expansion of (/ 1 k) in n 49.793 * [taylor]: Taking taylor expansion of k in n 49.793 * [backup-simplify]: Simplify k into k 49.793 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 49.793 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 49.793 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 49.793 * [taylor]: Taking taylor expansion of 2 in n 49.793 * [backup-simplify]: Simplify 2 into 2 49.793 * [taylor]: Taking taylor expansion of (/ PI n) in n 49.793 * [taylor]: Taking taylor expansion of PI in n 49.793 * [backup-simplify]: Simplify PI into PI 49.793 * [taylor]: Taking taylor expansion of n in n 49.793 * [backup-simplify]: Simplify 0 into 0 49.793 * [backup-simplify]: Simplify 1 into 1 49.794 * [backup-simplify]: Simplify (/ PI 1) into PI 49.794 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 49.795 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 49.795 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 49.795 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 49.796 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k))) 49.797 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 49.798 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 49.799 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 49.799 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n 49.799 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 49.799 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 49.799 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n 49.799 * [taylor]: Taking taylor expansion of 1/4 in n 49.799 * [backup-simplify]: Simplify 1/4 into 1/4 49.799 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 49.799 * [taylor]: Taking taylor expansion of 1 in n 49.799 * [backup-simplify]: Simplify 1 into 1 49.799 * [taylor]: Taking taylor expansion of (/ 1 k) in n 49.799 * [taylor]: Taking taylor expansion of k in n 49.799 * [backup-simplify]: Simplify k into k 49.799 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 49.799 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 49.799 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 49.799 * [taylor]: Taking taylor expansion of 2 in n 49.799 * [backup-simplify]: Simplify 2 into 2 49.799 * [taylor]: Taking taylor expansion of (/ PI n) in n 49.799 * [taylor]: Taking taylor expansion of PI in n 49.799 * [backup-simplify]: Simplify PI into PI 49.800 * [taylor]: Taking taylor expansion of n in n 49.800 * [backup-simplify]: Simplify 0 into 0 49.800 * [backup-simplify]: Simplify 1 into 1 49.800 * [backup-simplify]: Simplify (/ PI 1) into PI 49.800 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 49.801 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 49.802 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 49.802 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 49.802 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k))) 49.803 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 49.804 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 49.805 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 49.806 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 49.806 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 49.806 * [taylor]: Taking taylor expansion of 1/4 in k 49.806 * [backup-simplify]: Simplify 1/4 into 1/4 49.806 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 49.806 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 49.806 * [taylor]: Taking taylor expansion of 1 in k 49.806 * [backup-simplify]: Simplify 1 into 1 49.806 * [taylor]: Taking taylor expansion of (/ 1 k) in k 49.806 * [taylor]: Taking taylor expansion of k in k 49.806 * [backup-simplify]: Simplify 0 into 0 49.806 * [backup-simplify]: Simplify 1 into 1 49.806 * [backup-simplify]: Simplify (/ 1 1) into 1 49.806 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 49.806 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 49.806 * [taylor]: Taking taylor expansion of (* 2 PI) in k 49.806 * [taylor]: Taking taylor expansion of 2 in k 49.806 * [backup-simplify]: Simplify 2 into 2 49.806 * [taylor]: Taking taylor expansion of PI in k 49.806 * [backup-simplify]: Simplify PI into PI 49.807 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 49.808 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 49.808 * [taylor]: Taking taylor expansion of (log n) in k 49.808 * [taylor]: Taking taylor expansion of n in k 49.808 * [backup-simplify]: Simplify n into n 49.808 * [backup-simplify]: Simplify (log n) into (log n) 49.808 * [backup-simplify]: Simplify (- 1) into -1 49.809 * [backup-simplify]: Simplify (+ 0 -1) into -1 49.809 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 49.810 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 49.811 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 49.812 * [backup-simplify]: Simplify (* 1/4 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/4 (- (log (* 2 PI)) (log n))) 49.813 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 49.814 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 49.815 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 49.816 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 49.817 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 49.818 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 49.818 * [backup-simplify]: Simplify (- 0) into 0 49.818 * [backup-simplify]: Simplify (+ 0 0) into 0 49.819 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 (/ 1 k)))) into 0 49.820 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 49.821 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 49.823 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 49.823 * [taylor]: Taking taylor expansion of 0 in k 49.823 * [backup-simplify]: Simplify 0 into 0 49.823 * [backup-simplify]: Simplify 0 into 0 49.823 * [backup-simplify]: Simplify 0 into 0 49.824 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 49.825 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 49.828 * [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 49.828 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 49.829 * [backup-simplify]: Simplify (- 0) into 0 49.829 * [backup-simplify]: Simplify (+ 0 0) into 0 49.830 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 49.831 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 49.833 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 49.835 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 49.835 * [taylor]: Taking taylor expansion of 0 in k 49.835 * [backup-simplify]: Simplify 0 into 0 49.835 * [backup-simplify]: Simplify 0 into 0 49.835 * [backup-simplify]: Simplify 0 into 0 49.835 * [backup-simplify]: Simplify 0 into 0 49.836 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 49.837 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 49.843 * [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 49.843 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 49.844 * [backup-simplify]: Simplify (- 0) into 0 49.844 * [backup-simplify]: Simplify (+ 0 0) into 0 49.845 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 49.847 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 49.848 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 49.851 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 49.851 * [taylor]: Taking taylor expansion of 0 in k 49.851 * [backup-simplify]: Simplify 0 into 0 49.851 * [backup-simplify]: Simplify 0 into 0 49.852 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 49.853 * [backup-simplify]: Simplify (pow (* (* 2 PI) (/ 1 (- n))) (/ (/ (- 1 (/ 1 (- k))) 2) 2)) into (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) 49.853 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in (n k) around 0 49.853 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in k 49.853 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 49.853 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 49.853 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in k 49.853 * [taylor]: Taking taylor expansion of 1/4 in k 49.853 * [backup-simplify]: Simplify 1/4 into 1/4 49.853 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 49.853 * [taylor]: Taking taylor expansion of (/ 1 k) in k 49.853 * [taylor]: Taking taylor expansion of k in k 49.853 * [backup-simplify]: Simplify 0 into 0 49.853 * [backup-simplify]: Simplify 1 into 1 49.854 * [backup-simplify]: Simplify (/ 1 1) into 1 49.854 * [taylor]: Taking taylor expansion of 1 in k 49.854 * [backup-simplify]: Simplify 1 into 1 49.854 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 49.854 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 49.854 * [taylor]: Taking taylor expansion of -2 in k 49.854 * [backup-simplify]: Simplify -2 into -2 49.854 * [taylor]: Taking taylor expansion of (/ PI n) in k 49.854 * [taylor]: Taking taylor expansion of PI in k 49.854 * [backup-simplify]: Simplify PI into PI 49.854 * [taylor]: Taking taylor expansion of n in k 49.854 * [backup-simplify]: Simplify n into n 49.854 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 49.854 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 49.854 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 49.855 * [backup-simplify]: Simplify (+ 1 0) into 1 49.855 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 49.855 * [backup-simplify]: Simplify (* 1/4 (log (* -2 (/ PI n)))) into (* 1/4 (log (* -2 (/ PI n)))) 49.855 * [backup-simplify]: Simplify (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/4 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 49.855 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n 49.855 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 49.855 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 49.856 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n 49.856 * [taylor]: Taking taylor expansion of 1/4 in n 49.856 * [backup-simplify]: Simplify 1/4 into 1/4 49.856 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 49.856 * [taylor]: Taking taylor expansion of (/ 1 k) in n 49.856 * [taylor]: Taking taylor expansion of k in n 49.856 * [backup-simplify]: Simplify k into k 49.856 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 49.856 * [taylor]: Taking taylor expansion of 1 in n 49.856 * [backup-simplify]: Simplify 1 into 1 49.856 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 49.856 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 49.856 * [taylor]: Taking taylor expansion of -2 in n 49.856 * [backup-simplify]: Simplify -2 into -2 49.856 * [taylor]: Taking taylor expansion of (/ PI n) in n 49.856 * [taylor]: Taking taylor expansion of PI in n 49.856 * [backup-simplify]: Simplify PI into PI 49.856 * [taylor]: Taking taylor expansion of n in n 49.856 * [backup-simplify]: Simplify 0 into 0 49.856 * [backup-simplify]: Simplify 1 into 1 49.856 * [backup-simplify]: Simplify (/ PI 1) into PI 49.857 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 49.858 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 49.858 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 49.858 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1)) 49.859 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 49.860 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 49.861 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 49.861 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n 49.861 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 49.861 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 49.861 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n 49.861 * [taylor]: Taking taylor expansion of 1/4 in n 49.861 * [backup-simplify]: Simplify 1/4 into 1/4 49.861 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 49.861 * [taylor]: Taking taylor expansion of (/ 1 k) in n 49.861 * [taylor]: Taking taylor expansion of k in n 49.861 * [backup-simplify]: Simplify k into k 49.861 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 49.861 * [taylor]: Taking taylor expansion of 1 in n 49.861 * [backup-simplify]: Simplify 1 into 1 49.861 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 49.861 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 49.861 * [taylor]: Taking taylor expansion of -2 in n 49.861 * [backup-simplify]: Simplify -2 into -2 49.861 * [taylor]: Taking taylor expansion of (/ PI n) in n 49.861 * [taylor]: Taking taylor expansion of PI in n 49.861 * [backup-simplify]: Simplify PI into PI 49.861 * [taylor]: Taking taylor expansion of n in n 49.861 * [backup-simplify]: Simplify 0 into 0 49.861 * [backup-simplify]: Simplify 1 into 1 49.861 * [backup-simplify]: Simplify (/ PI 1) into PI 49.861 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 49.862 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 49.862 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 49.862 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1)) 49.863 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 49.864 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 49.865 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 49.865 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 49.865 * [taylor]: Taking taylor expansion of (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 49.865 * [taylor]: Taking taylor expansion of 1/4 in k 49.865 * [backup-simplify]: Simplify 1/4 into 1/4 49.865 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 49.865 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 49.865 * [taylor]: Taking taylor expansion of (/ 1 k) in k 49.865 * [taylor]: Taking taylor expansion of k in k 49.865 * [backup-simplify]: Simplify 0 into 0 49.865 * [backup-simplify]: Simplify 1 into 1 49.865 * [backup-simplify]: Simplify (/ 1 1) into 1 49.865 * [taylor]: Taking taylor expansion of 1 in k 49.865 * [backup-simplify]: Simplify 1 into 1 49.865 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 49.865 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 49.865 * [taylor]: Taking taylor expansion of (* -2 PI) in k 49.865 * [taylor]: Taking taylor expansion of -2 in k 49.865 * [backup-simplify]: Simplify -2 into -2 49.865 * [taylor]: Taking taylor expansion of PI in k 49.865 * [backup-simplify]: Simplify PI into PI 49.865 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 49.866 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 49.866 * [taylor]: Taking taylor expansion of (log n) in k 49.866 * [taylor]: Taking taylor expansion of n in k 49.866 * [backup-simplify]: Simplify n into n 49.866 * [backup-simplify]: Simplify (log n) into (log n) 49.866 * [backup-simplify]: Simplify (+ 1 0) into 1 49.866 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 49.867 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 49.868 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 49.868 * [backup-simplify]: Simplify (* 1/4 (- (log (* -2 PI)) (log n))) into (* 1/4 (- (log (* -2 PI)) (log n))) 49.869 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 49.870 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 49.870 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 49.871 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 49.871 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 49.872 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 49.872 * [backup-simplify]: Simplify (+ 0 0) into 0 49.872 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (+ (/ 1 k) 1))) into 0 49.873 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 49.874 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 49.875 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 49.875 * [taylor]: Taking taylor expansion of 0 in k 49.875 * [backup-simplify]: Simplify 0 into 0 49.875 * [backup-simplify]: Simplify 0 into 0 49.875 * [backup-simplify]: Simplify 0 into 0 49.875 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 49.876 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 49.878 * [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 49.878 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 49.878 * [backup-simplify]: Simplify (+ 0 0) into 0 49.879 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 49.880 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 49.881 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 49.882 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 49.882 * [taylor]: Taking taylor expansion of 0 in k 49.882 * [backup-simplify]: Simplify 0 into 0 49.882 * [backup-simplify]: Simplify 0 into 0 49.882 * [backup-simplify]: Simplify 0 into 0 49.882 * [backup-simplify]: Simplify 0 into 0 49.887 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 49.888 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 49.892 * [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 49.892 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 49.893 * [backup-simplify]: Simplify (+ 0 0) into 0 49.894 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 49.895 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 49.897 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 49.900 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 49.900 * [taylor]: Taking taylor expansion of 0 in k 49.900 * [backup-simplify]: Simplify 0 into 0 49.900 * [backup-simplify]: Simplify 0 into 0 49.901 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 49.901 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 49.902 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 49.902 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 49.902 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 49.902 * [taylor]: Taking taylor expansion of 2 in n 49.902 * [backup-simplify]: Simplify 2 into 2 49.902 * [taylor]: Taking taylor expansion of (* n PI) in n 49.902 * [taylor]: Taking taylor expansion of n in n 49.902 * [backup-simplify]: Simplify 0 into 0 49.902 * [backup-simplify]: Simplify 1 into 1 49.902 * [taylor]: Taking taylor expansion of PI in n 49.902 * [backup-simplify]: Simplify PI into PI 49.902 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 49.902 * [taylor]: Taking taylor expansion of 2 in n 49.902 * [backup-simplify]: Simplify 2 into 2 49.902 * [taylor]: Taking taylor expansion of (* n PI) in n 49.902 * [taylor]: Taking taylor expansion of n in n 49.902 * [backup-simplify]: Simplify 0 into 0 49.902 * [backup-simplify]: Simplify 1 into 1 49.902 * [taylor]: Taking taylor expansion of PI in n 49.902 * [backup-simplify]: Simplify PI into PI 49.903 * [backup-simplify]: Simplify (* 0 PI) into 0 49.903 * [backup-simplify]: Simplify (* 2 0) into 0 49.903 * [backup-simplify]: Simplify 0 into 0 49.905 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 49.906 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 49.907 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 49.908 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 49.909 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 49.909 * [backup-simplify]: Simplify 0 into 0 49.910 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 49.911 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 49.911 * [backup-simplify]: Simplify 0 into 0 49.913 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 49.914 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 49.914 * [backup-simplify]: Simplify 0 into 0 49.916 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 49.917 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 49.917 * [backup-simplify]: Simplify 0 into 0 49.919 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 49.921 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 49.921 * [backup-simplify]: Simplify 0 into 0 49.923 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 49.925 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 49.925 * [backup-simplify]: Simplify 0 into 0 49.925 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 49.926 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 n)) into (* 2 (/ PI n)) 49.926 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 49.926 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 49.926 * [taylor]: Taking taylor expansion of 2 in n 49.926 * [backup-simplify]: Simplify 2 into 2 49.926 * [taylor]: Taking taylor expansion of (/ PI n) in n 49.926 * [taylor]: Taking taylor expansion of PI in n 49.926 * [backup-simplify]: Simplify PI into PI 49.926 * [taylor]: Taking taylor expansion of n in n 49.926 * [backup-simplify]: Simplify 0 into 0 49.926 * [backup-simplify]: Simplify 1 into 1 49.927 * [backup-simplify]: Simplify (/ PI 1) into PI 49.927 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 49.927 * [taylor]: Taking taylor expansion of 2 in n 49.927 * [backup-simplify]: Simplify 2 into 2 49.927 * [taylor]: Taking taylor expansion of (/ PI n) in n 49.927 * [taylor]: Taking taylor expansion of PI in n 49.927 * [backup-simplify]: Simplify PI into PI 49.927 * [taylor]: Taking taylor expansion of n in n 49.927 * [backup-simplify]: Simplify 0 into 0 49.927 * [backup-simplify]: Simplify 1 into 1 49.927 * [backup-simplify]: Simplify (/ PI 1) into PI 49.928 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 49.928 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 49.929 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 49.930 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 49.930 * [backup-simplify]: Simplify 0 into 0 49.931 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 49.932 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 49.932 * [backup-simplify]: Simplify 0 into 0 49.933 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 49.934 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 49.934 * [backup-simplify]: Simplify 0 into 0 49.935 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 49.937 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 49.937 * [backup-simplify]: Simplify 0 into 0 49.938 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 49.939 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 49.939 * [backup-simplify]: Simplify 0 into 0 49.940 * [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 49.941 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 49.941 * [backup-simplify]: Simplify 0 into 0 49.941 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 49.941 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (- n))) into (* -2 (/ PI n)) 49.941 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 49.942 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 49.942 * [taylor]: Taking taylor expansion of -2 in n 49.942 * [backup-simplify]: Simplify -2 into -2 49.942 * [taylor]: Taking taylor expansion of (/ PI n) in n 49.942 * [taylor]: Taking taylor expansion of PI in n 49.942 * [backup-simplify]: Simplify PI into PI 49.942 * [taylor]: Taking taylor expansion of n in n 49.942 * [backup-simplify]: Simplify 0 into 0 49.942 * [backup-simplify]: Simplify 1 into 1 49.942 * [backup-simplify]: Simplify (/ PI 1) into PI 49.942 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 49.942 * [taylor]: Taking taylor expansion of -2 in n 49.942 * [backup-simplify]: Simplify -2 into -2 49.942 * [taylor]: Taking taylor expansion of (/ PI n) in n 49.942 * [taylor]: Taking taylor expansion of PI in n 49.942 * [backup-simplify]: Simplify PI into PI 49.942 * [taylor]: Taking taylor expansion of n in n 49.942 * [backup-simplify]: Simplify 0 into 0 49.942 * [backup-simplify]: Simplify 1 into 1 49.942 * [backup-simplify]: Simplify (/ PI 1) into PI 49.943 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 49.943 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 49.943 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 49.944 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 49.944 * [backup-simplify]: Simplify 0 into 0 49.944 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 49.945 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 49.945 * [backup-simplify]: Simplify 0 into 0 49.946 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 49.946 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 49.946 * [backup-simplify]: Simplify 0 into 0 49.947 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 49.948 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 49.948 * [backup-simplify]: Simplify 0 into 0 49.948 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 49.949 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 49.949 * [backup-simplify]: Simplify 0 into 0 49.950 * [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 49.951 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 49.951 * [backup-simplify]: Simplify 0 into 0 49.951 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 49.951 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 49.951 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 49.951 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 49.951 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 49.951 * [taylor]: Taking taylor expansion of 2 in n 49.951 * [backup-simplify]: Simplify 2 into 2 49.951 * [taylor]: Taking taylor expansion of (* n PI) in n 49.952 * [taylor]: Taking taylor expansion of n in n 49.952 * [backup-simplify]: Simplify 0 into 0 49.952 * [backup-simplify]: Simplify 1 into 1 49.952 * [taylor]: Taking taylor expansion of PI in n 49.952 * [backup-simplify]: Simplify PI into PI 49.952 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 49.952 * [taylor]: Taking taylor expansion of 2 in n 49.952 * [backup-simplify]: Simplify 2 into 2 49.952 * [taylor]: Taking taylor expansion of (* n PI) in n 49.952 * [taylor]: Taking taylor expansion of n in n 49.952 * [backup-simplify]: Simplify 0 into 0 49.952 * [backup-simplify]: Simplify 1 into 1 49.952 * [taylor]: Taking taylor expansion of PI in n 49.952 * [backup-simplify]: Simplify PI into PI 49.952 * [backup-simplify]: Simplify (* 0 PI) into 0 49.952 * [backup-simplify]: Simplify (* 2 0) into 0 49.952 * [backup-simplify]: Simplify 0 into 0 49.953 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 49.954 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 49.954 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 49.955 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 49.956 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 49.956 * [backup-simplify]: Simplify 0 into 0 49.956 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 49.957 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 49.957 * [backup-simplify]: Simplify 0 into 0 49.958 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 49.959 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 49.959 * [backup-simplify]: Simplify 0 into 0 49.960 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 49.961 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 49.961 * [backup-simplify]: Simplify 0 into 0 49.962 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 49.962 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 49.962 * [backup-simplify]: Simplify 0 into 0 49.963 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 49.964 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 49.965 * [backup-simplify]: Simplify 0 into 0 49.965 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 49.965 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 n)) into (* 2 (/ PI n)) 49.965 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 49.965 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 49.965 * [taylor]: Taking taylor expansion of 2 in n 49.965 * [backup-simplify]: Simplify 2 into 2 49.965 * [taylor]: Taking taylor expansion of (/ PI n) in n 49.965 * [taylor]: Taking taylor expansion of PI in n 49.965 * [backup-simplify]: Simplify PI into PI 49.965 * [taylor]: Taking taylor expansion of n in n 49.965 * [backup-simplify]: Simplify 0 into 0 49.965 * [backup-simplify]: Simplify 1 into 1 49.966 * [backup-simplify]: Simplify (/ PI 1) into PI 49.966 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 49.966 * [taylor]: Taking taylor expansion of 2 in n 49.966 * [backup-simplify]: Simplify 2 into 2 49.966 * [taylor]: Taking taylor expansion of (/ PI n) in n 49.966 * [taylor]: Taking taylor expansion of PI in n 49.966 * [backup-simplify]: Simplify PI into PI 49.966 * [taylor]: Taking taylor expansion of n in n 49.966 * [backup-simplify]: Simplify 0 into 0 49.966 * [backup-simplify]: Simplify 1 into 1 49.966 * [backup-simplify]: Simplify (/ PI 1) into PI 49.966 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 49.967 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 49.967 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 49.968 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 49.968 * [backup-simplify]: Simplify 0 into 0 49.968 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 49.969 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 49.969 * [backup-simplify]: Simplify 0 into 0 49.969 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 49.970 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 49.970 * [backup-simplify]: Simplify 0 into 0 49.971 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 49.971 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 49.971 * [backup-simplify]: Simplify 0 into 0 49.972 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 49.973 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 49.973 * [backup-simplify]: Simplify 0 into 0 49.974 * [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 49.975 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 49.975 * [backup-simplify]: Simplify 0 into 0 49.975 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 49.975 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (- n))) into (* -2 (/ PI n)) 49.975 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 49.976 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 49.976 * [taylor]: Taking taylor expansion of -2 in n 49.976 * [backup-simplify]: Simplify -2 into -2 49.976 * [taylor]: Taking taylor expansion of (/ PI n) in n 49.976 * [taylor]: Taking taylor expansion of PI in n 49.976 * [backup-simplify]: Simplify PI into PI 49.976 * [taylor]: Taking taylor expansion of n in n 49.976 * [backup-simplify]: Simplify 0 into 0 49.976 * [backup-simplify]: Simplify 1 into 1 49.976 * [backup-simplify]: Simplify (/ PI 1) into PI 49.976 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 49.976 * [taylor]: Taking taylor expansion of -2 in n 49.976 * [backup-simplify]: Simplify -2 into -2 49.976 * [taylor]: Taking taylor expansion of (/ PI n) in n 49.976 * [taylor]: Taking taylor expansion of PI in n 49.976 * [backup-simplify]: Simplify PI into PI 49.976 * [taylor]: Taking taylor expansion of n in n 49.976 * [backup-simplify]: Simplify 0 into 0 49.976 * [backup-simplify]: Simplify 1 into 1 49.977 * [backup-simplify]: Simplify (/ PI 1) into PI 49.977 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 49.978 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 49.979 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 49.979 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 49.980 * [backup-simplify]: Simplify 0 into 0 49.981 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 49.982 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 49.982 * [backup-simplify]: Simplify 0 into 0 49.983 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 49.984 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 49.984 * [backup-simplify]: Simplify 0 into 0 49.985 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 49.986 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 49.986 * [backup-simplify]: Simplify 0 into 0 49.987 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 49.989 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 49.989 * [backup-simplify]: Simplify 0 into 0 49.990 * [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 49.992 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 49.992 * [backup-simplify]: Simplify 0 into 0 49.993 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 49.993 * * * [progress]: simplifying candidates 49.993 * * * * [progress]: [ 1 / 226 ] simplifiying candidate # 49.993 * [simplify]: Simplifying (* (+ (+ (log 2) (log PI)) (log n)) (/ (/ (- 1 k) 2) 2)) 49.993 * * [simplify]: iters left: 6 (14 enodes) 50.002 * * [simplify]: iters left: 5 (60 enodes) 50.025 * * [simplify]: iters left: 4 (108 enodes) 50.046 * * [simplify]: iters left: 3 (251 enodes) 50.138 * * [simplify]: Extracting #0: cost 1 inf + 0 50.139 * * [simplify]: Extracting #1: cost 28 inf + 0 50.139 * * [simplify]: Extracting #2: cost 122 inf + 2 50.139 * * [simplify]: Extracting #3: cost 160 inf + 189 50.140 * * [simplify]: Extracting #4: cost 113 inf + 5961 50.144 * * [simplify]: Extracting #5: cost 37 inf + 24041 50.150 * * [simplify]: Extracting #6: cost 1 inf + 33711 50.156 * * [simplify]: Extracting #7: cost 0 inf + 34016 50.163 * [simplify]: Simplified to (/ (+ (log n) (+ (log 2) (log PI))) (/ 4 (- 1 k))) 50.163 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (exp (/ (+ (log n) (+ (log 2) (log PI))) (/ 4 (- 1 k)))))) 50.163 * * * * [progress]: [ 2 / 226 ] simplifiying candidate # 50.163 * [simplify]: Simplifying (* (+ (log (* 2 PI)) (log n)) (/ (/ (- 1 k) 2) 2)) 50.163 * * [simplify]: iters left: 6 (13 enodes) 50.168 * * [simplify]: iters left: 5 (58 enodes) 50.187 * * [simplify]: iters left: 4 (101 enodes) 50.220 * * [simplify]: iters left: 3 (207 enodes) 50.276 * * [simplify]: iters left: 2 (498 enodes) 50.420 * * [simplify]: Extracting #0: cost 1 inf + 0 50.420 * * [simplify]: Extracting #1: cost 58 inf + 0 50.421 * * [simplify]: Extracting #2: cost 205 inf + 4 50.422 * * [simplify]: Extracting #3: cost 247 inf + 841 50.424 * * [simplify]: Extracting #4: cost 201 inf + 6160 50.428 * * [simplify]: Extracting #5: cost 123 inf + 24198 50.438 * * [simplify]: Extracting #6: cost 22 inf + 51656 50.459 * * [simplify]: Extracting #7: cost 0 inf + 58826 50.478 * [simplify]: Simplified to (/ (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)) 4) 50.478 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (exp (/ (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)) 4)))) 50.478 * * * * [progress]: [ 3 / 226 ] simplifiying candidate # 50.478 * [simplify]: Simplifying (* (log (* (* 2 PI) n)) (/ (/ (- 1 k) 2) 2)) 50.478 * * [simplify]: iters left: 6 (12 enodes) 50.483 * * [simplify]: iters left: 5 (57 enodes) 50.493 * * [simplify]: iters left: 4 (111 enodes) 50.528 * * [simplify]: iters left: 3 (211 enodes) 50.608 * * [simplify]: iters left: 2 (445 enodes) 50.729 * * [simplify]: Extracting #0: cost 1 inf + 0 50.729 * * [simplify]: Extracting #1: cost 34 inf + 0 50.730 * * [simplify]: Extracting #2: cost 143 inf + 4 50.731 * * [simplify]: Extracting #3: cost 204 inf + 244 50.733 * * [simplify]: Extracting #4: cost 140 inf + 9339 50.739 * * [simplify]: Extracting #5: cost 29 inf + 31420 50.747 * * [simplify]: Extracting #6: cost 0 inf + 37781 50.754 * [simplify]: Simplified to (/ (- (log (* (* 2 PI) n)) (* k (log (* (* 2 PI) n)))) 4) 50.755 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (exp (/ (- (log (* (* 2 PI) n)) (* k (log (* (* 2 PI) n)))) 4)))) 50.755 * * * * [progress]: [ 4 / 226 ] simplifiying candidate # 50.755 * * * * [progress]: [ 5 / 226 ] simplifiying candidate # 50.755 * [simplify]: Simplifying (* (* 2 PI) n) 50.755 * * [simplify]: iters left: 4 (5 enodes) 50.757 * * [simplify]: iters left: 3 (19 enodes) 50.760 * * [simplify]: iters left: 2 (27 enodes) 50.768 * * [simplify]: iters left: 1 (32 enodes) 50.780 * * [simplify]: Extracting #0: cost 1 inf + 0 50.780 * * [simplify]: Extracting #1: cost 8 inf + 0 50.780 * * [simplify]: Extracting #2: cost 7 inf + 45 50.780 * * [simplify]: Extracting #3: cost 0 inf + 421 50.780 * [simplify]: Simplified to (* (* 2 PI) n) 50.780 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (* (* 2 PI) n) (* 1 (/ (/ (- 1 k) 2) 2))))) 50.781 * * * * [progress]: [ 6 / 226 ] simplifiying candidate # 50.781 * [simplify]: Simplifying (* (* 2 PI) n) 50.781 * * [simplify]: iters left: 4 (5 enodes) 50.784 * * [simplify]: iters left: 3 (19 enodes) 50.790 * * [simplify]: iters left: 2 (27 enodes) 50.797 * * [simplify]: iters left: 1 (32 enodes) 50.806 * * [simplify]: Extracting #0: cost 1 inf + 0 50.806 * * [simplify]: Extracting #1: cost 8 inf + 0 50.806 * * [simplify]: Extracting #2: cost 7 inf + 45 50.806 * * [simplify]: Extracting #3: cost 0 inf + 421 50.807 * [simplify]: Simplified to (* (* 2 PI) n) 50.807 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (* (* 2 PI) n) (* 1 (/ (/ (- 1 k) 2) 2))))) 50.807 * * * * [progress]: [ 7 / 226 ] simplifiying candidate # 50.807 * [simplify]: Simplifying (* (* 2 PI) n) 50.807 * * [simplify]: iters left: 4 (5 enodes) 50.810 * * [simplify]: iters left: 3 (19 enodes) 50.816 * * [simplify]: iters left: 2 (27 enodes) 50.824 * * [simplify]: iters left: 1 (32 enodes) 50.831 * * [simplify]: Extracting #0: cost 1 inf + 0 50.832 * * [simplify]: Extracting #1: cost 8 inf + 0 50.832 * * [simplify]: Extracting #2: cost 7 inf + 45 50.832 * * [simplify]: Extracting #3: cost 0 inf + 421 50.832 * [simplify]: Simplified to (* (* 2 PI) n) 50.832 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (* (* 2 PI) n) (* 1 (/ (/ (- 1 k) 2) 2))))) 50.832 * * * * [progress]: [ 8 / 226 ] simplifiying candidate # 50.833 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ (/ k 2) 2)) 50.833 * * [simplify]: iters left: 5 (9 enodes) 50.838 * * [simplify]: iters left: 4 (37 enodes) 50.849 * * [simplify]: iters left: 3 (57 enodes) 50.859 * * [simplify]: iters left: 2 (93 enodes) 50.874 * * [simplify]: iters left: 1 (170 enodes) 50.928 * * [simplify]: Extracting #0: cost 1 inf + 0 50.928 * * [simplify]: Extracting #1: cost 13 inf + 0 50.928 * * [simplify]: Extracting #2: cost 60 inf + 1 50.928 * * [simplify]: Extracting #3: cost 80 inf + 93 50.929 * * [simplify]: Extracting #4: cost 43 inf + 3168 50.931 * * [simplify]: Extracting #5: cost 12 inf + 13240 50.934 * * [simplify]: Extracting #6: cost 1 inf + 19094 50.937 * * [simplify]: Extracting #7: cost 0 inf + 19509 50.940 * * [simplify]: Extracting #8: cost 0 inf + 19469 50.943 * [simplify]: Simplified to (pow (* (* 2 PI) n) (/ k 4)) 50.943 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (/ (pow (* (* 2 PI) n) (/ (/ 1 2) 2)) (pow (* (* 2 PI) n) (/ k 4))))) 50.943 * * * * [progress]: [ 9 / 226 ] simplifiying candidate # 50.943 * [simplify]: Simplifying (cbrt (/ (/ (- 1 k) 2) 2)) 50.943 * * [simplify]: iters left: 6 (7 enodes) 50.946 * * [simplify]: iters left: 5 (32 enodes) 50.952 * * [simplify]: iters left: 4 (47 enodes) 50.962 * * [simplify]: iters left: 3 (53 enodes) 50.977 * * [simplify]: iters left: 2 (60 enodes) 50.995 * * [simplify]: Extracting #0: cost 1 inf + 0 50.995 * * [simplify]: Extracting #1: cost 3 inf + 0 50.995 * * [simplify]: Extracting #2: cost 11 inf + 0 50.995 * * [simplify]: Extracting #3: cost 17 inf + 3 50.995 * * [simplify]: Extracting #4: cost 14 inf + 129 50.995 * * [simplify]: Extracting #5: cost 3 inf + 794 50.996 * * [simplify]: Extracting #6: cost 0 inf + 1162 50.997 * [simplify]: Simplified to (cbrt (- 1/4 (/ k 4))) 50.997 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (* (cbrt (/ (/ (- 1 k) 2) 2)) (cbrt (/ (/ (- 1 k) 2) 2)))) (cbrt (- 1/4 (/ k 4)))))) 50.997 * * * * [progress]: [ 10 / 226 ] simplifiying candidate # 50.997 * [simplify]: Simplifying (sqrt (/ (/ (- 1 k) 2) 2)) 50.997 * * [simplify]: iters left: 6 (7 enodes) 51.002 * * [simplify]: iters left: 5 (32 enodes) 51.016 * * [simplify]: iters left: 4 (47 enodes) 51.030 * * [simplify]: iters left: 3 (53 enodes) 51.039 * * [simplify]: iters left: 2 (60 enodes) 51.047 * * [simplify]: Extracting #0: cost 1 inf + 0 51.047 * * [simplify]: Extracting #1: cost 3 inf + 0 51.047 * * [simplify]: Extracting #2: cost 11 inf + 0 51.047 * * [simplify]: Extracting #3: cost 17 inf + 3 51.047 * * [simplify]: Extracting #4: cost 14 inf + 129 51.047 * * [simplify]: Extracting #5: cost 3 inf + 794 51.048 * * [simplify]: Extracting #6: cost 0 inf + 1082 51.048 * [simplify]: Simplified to (sqrt (- 1/4 (/ k 4))) 51.048 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (sqrt (/ (/ (- 1 k) 2) 2))) (sqrt (- 1/4 (/ k 4)))))) 51.048 * * * * [progress]: [ 11 / 226 ] simplifiying candidate # 51.048 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)) 51.048 * * [simplify]: iters left: 6 (8 enodes) 51.052 * * [simplify]: iters left: 5 (32 enodes) 51.057 * * [simplify]: iters left: 4 (41 enodes) 51.066 * * [simplify]: Extracting #0: cost 1 inf + 0 51.066 * * [simplify]: Extracting #1: cost 4 inf + 0 51.066 * * [simplify]: Extracting #2: cost 8 inf + 0 51.067 * * [simplify]: Extracting #3: cost 9 inf + 163 51.067 * * [simplify]: Extracting #4: cost 13 inf + 164 51.067 * * [simplify]: Extracting #5: cost 10 inf + 249 51.067 * * [simplify]: Extracting #6: cost 3 inf + 986 51.068 * * [simplify]: Extracting #7: cost 0 inf + 1474 51.068 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)) 51.068 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))))) 51.068 * * * * [progress]: [ 12 / 226 ] simplifiying candidate # 51.069 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) (sqrt 2)) 51.069 * * [simplify]: iters left: 6 (8 enodes) 51.074 * * [simplify]: iters left: 5 (32 enodes) 51.084 * * [simplify]: iters left: 4 (41 enodes) 51.090 * * [simplify]: Extracting #0: cost 1 inf + 0 51.090 * * [simplify]: Extracting #1: cost 4 inf + 0 51.090 * * [simplify]: Extracting #2: cost 8 inf + 0 51.090 * * [simplify]: Extracting #3: cost 9 inf + 83 51.090 * * [simplify]: Extracting #4: cost 13 inf + 84 51.090 * * [simplify]: Extracting #5: cost 10 inf + 169 51.090 * * [simplify]: Extracting #6: cost 3 inf + 866 51.091 * * [simplify]: Extracting #7: cost 0 inf + 1314 51.091 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) (sqrt 2)) 51.091 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (sqrt 2))) (/ (cbrt (/ (- 1 k) 2)) (sqrt 2))))) 51.091 * * * * [progress]: [ 13 / 226 ] simplifiying candidate # 51.091 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) 2) 51.091 * * [simplify]: iters left: 6 (7 enodes) 51.094 * * [simplify]: iters left: 5 (29 enodes) 51.099 * * [simplify]: iters left: 4 (38 enodes) 51.105 * * [simplify]: Extracting #0: cost 1 inf + 0 51.105 * * [simplify]: Extracting #1: cost 4 inf + 0 51.105 * * [simplify]: Extracting #2: cost 5 inf + 1 51.105 * * [simplify]: Extracting #3: cost 9 inf + 1 51.105 * * [simplify]: Extracting #4: cost 13 inf + 2 51.105 * * [simplify]: Extracting #5: cost 12 inf + 4 51.105 * * [simplify]: Extracting #6: cost 2 inf + 746 51.106 * * [simplify]: Extracting #7: cost 0 inf + 1152 51.106 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) 2) 51.106 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) 1)) (/ (cbrt (/ (- 1 k) 2)) 2)))) 51.106 * * * * [progress]: [ 14 / 226 ] simplifiying candidate # 51.106 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) (cbrt 2)) 51.106 * * [simplify]: iters left: 6 (8 enodes) 51.109 * * [simplify]: iters left: 5 (32 enodes) 51.117 * * [simplify]: iters left: 4 (41 enodes) 51.127 * * [simplify]: Extracting #0: cost 1 inf + 0 51.127 * * [simplify]: Extracting #1: cost 4 inf + 0 51.127 * * [simplify]: Extracting #2: cost 8 inf + 0 51.128 * * [simplify]: Extracting #3: cost 9 inf + 163 51.128 * * [simplify]: Extracting #4: cost 13 inf + 164 51.128 * * [simplify]: Extracting #5: cost 10 inf + 249 51.128 * * [simplify]: Extracting #6: cost 3 inf + 906 51.129 * * [simplify]: Extracting #7: cost 0 inf + 1314 51.129 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) (cbrt 2)) 51.129 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (sqrt (/ (- 1 k) 2)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (/ (- 1 k) 2)) (cbrt 2))))) 51.130 * * * * [progress]: [ 15 / 226 ] simplifiying candidate # 51.130 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)) 51.130 * * [simplify]: iters left: 6 (8 enodes) 51.136 * * [simplify]: iters left: 5 (32 enodes) 51.146 * * [simplify]: iters left: 4 (41 enodes) 51.159 * * [simplify]: Extracting #0: cost 1 inf + 0 51.159 * * [simplify]: Extracting #1: cost 4 inf + 0 51.159 * * [simplify]: Extracting #2: cost 8 inf + 0 51.159 * * [simplify]: Extracting #3: cost 9 inf + 83 51.159 * * [simplify]: Extracting #4: cost 13 inf + 84 51.159 * * [simplify]: Extracting #5: cost 10 inf + 169 51.160 * * [simplify]: Extracting #6: cost 3 inf + 786 51.160 * * [simplify]: Extracting #7: cost 0 inf + 1154 51.161 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)) 51.161 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))))) 51.161 * * * * [progress]: [ 16 / 226 ] simplifiying candidate # 51.161 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) 2) 51.161 * * [simplify]: iters left: 6 (7 enodes) 51.165 * * [simplify]: iters left: 5 (29 enodes) 51.170 * * [simplify]: iters left: 4 (38 enodes) 51.175 * * [simplify]: Extracting #0: cost 1 inf + 0 51.175 * * [simplify]: Extracting #1: cost 4 inf + 0 51.175 * * [simplify]: Extracting #2: cost 5 inf + 1 51.175 * * [simplify]: Extracting #3: cost 9 inf + 1 51.176 * * [simplify]: Extracting #4: cost 13 inf + 2 51.176 * * [simplify]: Extracting #5: cost 12 inf + 4 51.176 * * [simplify]: Extracting #6: cost 2 inf + 666 51.176 * * [simplify]: Extracting #7: cost 0 inf + 992 51.176 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) 2) 51.176 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (sqrt (/ (- 1 k) 2)) 1)) (/ (sqrt (/ (- 1 k) 2)) 2)))) 51.177 * * * * [progress]: [ 17 / 226 ] simplifiying candidate # 51.177 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) (cbrt 2)) 51.177 * * [simplify]: iters left: 6 (8 enodes) 51.179 * * [simplify]: iters left: 5 (30 enodes) 51.184 * * [simplify]: iters left: 4 (37 enodes) 51.190 * * [simplify]: Extracting #0: cost 1 inf + 0 51.190 * * [simplify]: Extracting #1: cost 6 inf + 0 51.190 * * [simplify]: Extracting #2: cost 12 inf + 0 51.190 * * [simplify]: Extracting #3: cost 11 inf + 405 51.190 * * [simplify]: Extracting #4: cost 10 inf + 407 51.190 * * [simplify]: Extracting #5: cost 4 inf + 1220 51.190 * * [simplify]: Extracting #6: cost 0 inf + 1869 51.190 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 51.191 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (* (cbrt 2) (cbrt 2)))))) 51.191 * * * * [progress]: [ 18 / 226 ] simplifiying candidate # 51.191 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2)) 51.191 * * [simplify]: iters left: 6 (9 enodes) 51.194 * * [simplify]: iters left: 5 (33 enodes) 51.199 * * [simplify]: iters left: 4 (43 enodes) 51.206 * * [simplify]: iters left: 3 (45 enodes) 51.214 * * [simplify]: Extracting #0: cost 1 inf + 0 51.215 * * [simplify]: Extracting #1: cost 8 inf + 0 51.215 * * [simplify]: Extracting #2: cost 16 inf + 0 51.215 * * [simplify]: Extracting #3: cost 16 inf + 284 51.215 * * [simplify]: Extracting #4: cost 11 inf + 610 51.215 * * [simplify]: Extracting #5: cost 8 inf + 815 51.216 * * [simplify]: Extracting #6: cost 0 inf + 2517 51.217 * [simplify]: Simplified to (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2)) 51.217 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2))))) 51.217 * * * * [progress]: [ 19 / 226 ] simplifiying candidate # 51.217 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) 2) 51.217 * * [simplify]: iters left: 6 (8 enodes) 51.225 * * [simplify]: iters left: 5 (30 enodes) 51.235 * * [simplify]: iters left: 4 (40 enodes) 51.246 * * [simplify]: iters left: 3 (42 enodes) 51.255 * * [simplify]: Extracting #0: cost 1 inf + 0 51.255 * * [simplify]: Extracting #1: cost 8 inf + 0 51.255 * * [simplify]: Extracting #2: cost 12 inf + 82 51.255 * * [simplify]: Extracting #3: cost 13 inf + 405 51.255 * * [simplify]: Extracting #4: cost 12 inf + 407 51.255 * * [simplify]: Extracting #5: cost 5 inf + 1383 51.256 * * [simplify]: Extracting #6: cost 0 inf + 2195 51.256 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* 2 (cbrt 2))) 51.256 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) 1)) (/ (cbrt (- 1 k)) (* 2 (cbrt 2)))))) 51.256 * * * * [progress]: [ 20 / 226 ] simplifiying candidate # 51.256 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2)) 51.256 * * [simplify]: iters left: 6 (9 enodes) 51.259 * * [simplify]: iters left: 5 (33 enodes) 51.265 * * [simplify]: iters left: 4 (43 enodes) 51.271 * * [simplify]: iters left: 3 (45 enodes) 51.278 * * [simplify]: Extracting #0: cost 1 inf + 0 51.278 * * [simplify]: Extracting #1: cost 8 inf + 0 51.278 * * [simplify]: Extracting #2: cost 16 inf + 0 51.278 * * [simplify]: Extracting #3: cost 16 inf + 284 51.278 * * [simplify]: Extracting #4: cost 11 inf + 610 51.278 * * [simplify]: Extracting #5: cost 8 inf + 815 51.279 * * [simplify]: Extracting #6: cost 0 inf + 2517 51.279 * [simplify]: Simplified to (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2)) 51.279 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2))))) 51.279 * * * * [progress]: [ 21 / 226 ] simplifiying candidate # 51.280 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) (sqrt 2)) 51.280 * * [simplify]: iters left: 6 (8 enodes) 51.282 * * [simplify]: iters left: 5 (30 enodes) 51.290 * * [simplify]: iters left: 4 (35 enodes) 51.300 * * [simplify]: Extracting #0: cost 1 inf + 0 51.300 * * [simplify]: Extracting #1: cost 6 inf + 0 51.300 * * [simplify]: Extracting #2: cost 8 inf + 42 51.300 * * [simplify]: Extracting #3: cost 11 inf + 83 51.300 * * [simplify]: Extracting #4: cost 10 inf + 85 51.301 * * [simplify]: Extracting #5: cost 4 inf + 658 51.301 * * [simplify]: Extracting #6: cost 0 inf + 1227 51.301 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 51.301 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (sqrt 2))) (/ (cbrt (- 1 k)) 2)))) 51.302 * * * * [progress]: [ 22 / 226 ] simplifiying candidate # 51.302 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) 2) 51.302 * * [simplify]: iters left: 6 (8 enodes) 51.307 * * [simplify]: iters left: 5 (30 enodes) 51.316 * * [simplify]: iters left: 4 (40 enodes) 51.328 * * [simplify]: iters left: 3 (42 enodes) 51.340 * * [simplify]: Extracting #0: cost 1 inf + 0 51.340 * * [simplify]: Extracting #1: cost 8 inf + 0 51.340 * * [simplify]: Extracting #2: cost 12 inf + 42 51.340 * * [simplify]: Extracting #3: cost 13 inf + 245 51.340 * * [simplify]: Extracting #4: cost 12 inf + 247 51.340 * * [simplify]: Extracting #5: cost 5 inf + 1143 51.340 * * [simplify]: Extracting #6: cost 0 inf + 1875 51.341 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* 2 (sqrt 2))) 51.341 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) 1)) (/ (cbrt (- 1 k)) (* 2 (sqrt 2)))))) 51.341 * * * * [progress]: [ 23 / 226 ] simplifiying candidate # 51.341 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) (cbrt 2)) 51.341 * * [simplify]: iters left: 6 (8 enodes) 51.343 * * [simplify]: iters left: 5 (30 enodes) 51.350 * * [simplify]: iters left: 4 (40 enodes) 51.356 * * [simplify]: iters left: 3 (42 enodes) 51.362 * * [simplify]: Extracting #0: cost 1 inf + 0 51.362 * * [simplify]: Extracting #1: cost 8 inf + 0 51.362 * * [simplify]: Extracting #2: cost 11 inf + 203 51.362 * * [simplify]: Extracting #3: cost 13 inf + 405 51.362 * * [simplify]: Extracting #4: cost 12 inf + 407 51.362 * * [simplify]: Extracting #5: cost 3 inf + 1789 51.363 * * [simplify]: Extracting #6: cost 0 inf + 2195 51.363 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (cbrt 2) 2)) 51.363 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (* (cbrt 2) 2))))) 51.363 * * * * [progress]: [ 24 / 226 ] simplifiying candidate # 51.363 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) (sqrt 2)) 51.363 * * [simplify]: iters left: 6 (8 enodes) 51.366 * * [simplify]: iters left: 5 (30 enodes) 51.374 * * [simplify]: iters left: 4 (40 enodes) 51.385 * * [simplify]: iters left: 3 (42 enodes) 51.396 * * [simplify]: Extracting #0: cost 1 inf + 0 51.396 * * [simplify]: Extracting #1: cost 8 inf + 0 51.397 * * [simplify]: Extracting #2: cost 11 inf + 123 51.397 * * [simplify]: Extracting #3: cost 13 inf + 245 51.397 * * [simplify]: Extracting #4: cost 12 inf + 247 51.397 * * [simplify]: Extracting #5: cost 3 inf + 1509 51.398 * * [simplify]: Extracting #6: cost 0 inf + 1875 51.398 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (sqrt 2) 2)) 51.399 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (sqrt 2))) (/ (cbrt (- 1 k)) (* (sqrt 2) 2))))) 51.399 * * * * [progress]: [ 25 / 226 ] simplifiying candidate # 51.399 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) 2) 51.399 * * [simplify]: iters left: 6 (7 enodes) 51.403 * * [simplify]: iters left: 5 (28 enodes) 51.413 * * [simplify]: iters left: 4 (35 enodes) 51.423 * * [simplify]: Extracting #0: cost 1 inf + 0 51.423 * * [simplify]: Extracting #1: cost 6 inf + 0 51.424 * * [simplify]: Extracting #2: cost 7 inf + 2 51.424 * * [simplify]: Extracting #3: cost 11 inf + 2 51.424 * * [simplify]: Extracting #4: cost 9 inf + 45 51.424 * * [simplify]: Extracting #5: cost 4 inf + 455 51.424 * * [simplify]: Extracting #6: cost 0 inf + 1066 51.425 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 4) 51.425 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)))) 51.425 * * * * [progress]: [ 26 / 226 ] simplifiying candidate # 51.425 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2)) 51.425 * * [simplify]: iters left: 6 (8 enodes) 51.430 * * [simplify]: iters left: 5 (30 enodes) 51.440 * * [simplify]: iters left: 4 (37 enodes) 51.446 * * [simplify]: Extracting #0: cost 1 inf + 0 51.446 * * [simplify]: Extracting #1: cost 6 inf + 0 51.446 * * [simplify]: Extracting #2: cost 12 inf + 0 51.446 * * [simplify]: Extracting #3: cost 11 inf + 405 51.446 * * [simplify]: Extracting #4: cost 10 inf + 407 51.446 * * [simplify]: Extracting #5: cost 4 inf + 1100 51.446 * * [simplify]: Extracting #6: cost 0 inf + 1629 51.447 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 51.447 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))))) 51.447 * * * * [progress]: [ 27 / 226 ] simplifiying candidate # 51.447 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2)) 51.447 * * [simplify]: iters left: 6 (9 enodes) 51.450 * * [simplify]: iters left: 5 (33 enodes) 51.456 * * [simplify]: iters left: 4 (43 enodes) 51.464 * * [simplify]: iters left: 3 (45 enodes) 51.475 * * [simplify]: Extracting #0: cost 1 inf + 0 51.475 * * [simplify]: Extracting #1: cost 8 inf + 0 51.475 * * [simplify]: Extracting #2: cost 16 inf + 0 51.475 * * [simplify]: Extracting #3: cost 16 inf + 284 51.475 * * [simplify]: Extracting #4: cost 11 inf + 610 51.476 * * [simplify]: Extracting #5: cost 8 inf + 775 51.476 * * [simplify]: Extracting #6: cost 0 inf + 2197 51.477 * [simplify]: Simplified to (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2)) 51.477 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2))))) 51.477 * * * * [progress]: [ 28 / 226 ] simplifiying candidate # 51.478 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) 2) 51.478 * * [simplify]: iters left: 6 (8 enodes) 51.482 * * [simplify]: iters left: 5 (30 enodes) 51.492 * * [simplify]: iters left: 4 (40 enodes) 51.500 * * [simplify]: iters left: 3 (42 enodes) 51.505 * * [simplify]: Extracting #0: cost 1 inf + 0 51.505 * * [simplify]: Extracting #1: cost 8 inf + 0 51.506 * * [simplify]: Extracting #2: cost 12 inf + 82 51.506 * * [simplify]: Extracting #3: cost 13 inf + 405 51.506 * * [simplify]: Extracting #4: cost 12 inf + 407 51.506 * * [simplify]: Extracting #5: cost 5 inf + 1223 51.506 * * [simplify]: Extracting #6: cost 0 inf + 1875 51.506 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* 2 (cbrt 2))) 51.507 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (sqrt (- 1 k)) (* 2 (cbrt 2)))))) 51.507 * * * * [progress]: [ 29 / 226 ] simplifiying candidate # 51.507 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2)) 51.507 * * [simplify]: iters left: 6 (9 enodes) 51.510 * * [simplify]: iters left: 5 (33 enodes) 51.515 * * [simplify]: iters left: 4 (43 enodes) 51.523 * * [simplify]: iters left: 3 (45 enodes) 51.536 * * [simplify]: Extracting #0: cost 1 inf + 0 51.537 * * [simplify]: Extracting #1: cost 8 inf + 0 51.537 * * [simplify]: Extracting #2: cost 16 inf + 0 51.537 * * [simplify]: Extracting #3: cost 16 inf + 284 51.537 * * [simplify]: Extracting #4: cost 11 inf + 610 51.537 * * [simplify]: Extracting #5: cost 8 inf + 775 51.538 * * [simplify]: Extracting #6: cost 0 inf + 2197 51.539 * [simplify]: Simplified to (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2)) 51.539 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2))))) 51.539 * * * * [progress]: [ 30 / 226 ] simplifiying candidate # 51.539 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2)) 51.539 * * [simplify]: iters left: 6 (8 enodes) 51.544 * * [simplify]: iters left: 5 (30 enodes) 51.554 * * [simplify]: iters left: 4 (35 enodes) 51.565 * * [simplify]: Extracting #0: cost 1 inf + 0 51.565 * * [simplify]: Extracting #1: cost 6 inf + 0 51.565 * * [simplify]: Extracting #2: cost 8 inf + 42 51.565 * * [simplify]: Extracting #3: cost 11 inf + 83 51.565 * * [simplify]: Extracting #4: cost 10 inf + 85 51.565 * * [simplify]: Extracting #5: cost 4 inf + 538 51.566 * * [simplify]: Extracting #6: cost 0 inf + 987 51.566 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 51.566 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))) (/ (sqrt (- 1 k)) 2)))) 51.566 * * * * [progress]: [ 31 / 226 ] simplifiying candidate # 51.567 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) 2) 51.567 * * [simplify]: iters left: 6 (8 enodes) 51.572 * * [simplify]: iters left: 5 (30 enodes) 51.582 * * [simplify]: iters left: 4 (40 enodes) 51.598 * * [simplify]: iters left: 3 (42 enodes) 51.611 * * [simplify]: Extracting #0: cost 1 inf + 0 51.611 * * [simplify]: Extracting #1: cost 8 inf + 0 51.611 * * [simplify]: Extracting #2: cost 12 inf + 42 51.611 * * [simplify]: Extracting #3: cost 13 inf + 245 51.611 * * [simplify]: Extracting #4: cost 12 inf + 247 51.611 * * [simplify]: Extracting #5: cost 5 inf + 983 51.612 * * [simplify]: Extracting #6: cost 0 inf + 1555 51.613 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* 2 (sqrt 2))) 51.613 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ (sqrt (- 1 k)) (sqrt 2)) 1)) (/ (sqrt (- 1 k)) (* 2 (sqrt 2)))))) 51.613 * * * * [progress]: [ 32 / 226 ] simplifiying candidate # 51.613 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) (cbrt 2)) 51.613 * * [simplify]: iters left: 6 (8 enodes) 51.618 * * [simplify]: iters left: 5 (30 enodes) 51.628 * * [simplify]: iters left: 4 (40 enodes) 51.641 * * [simplify]: iters left: 3 (42 enodes) 51.653 * * [simplify]: Extracting #0: cost 1 inf + 0 51.653 * * [simplify]: Extracting #1: cost 8 inf + 0 51.653 * * [simplify]: Extracting #2: cost 11 inf + 203 51.654 * * [simplify]: Extracting #3: cost 13 inf + 405 51.654 * * [simplify]: Extracting #4: cost 12 inf + 407 51.654 * * [simplify]: Extracting #5: cost 3 inf + 1549 51.655 * * [simplify]: Extracting #6: cost 0 inf + 1875 51.656 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (cbrt 2) 2)) 51.656 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ (sqrt (- 1 k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (* (cbrt 2) 2))))) 51.656 * * * * [progress]: [ 33 / 226 ] simplifiying candidate # 51.656 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) (sqrt 2)) 51.656 * * [simplify]: iters left: 6 (8 enodes) 51.661 * * [simplify]: iters left: 5 (30 enodes) 51.671 * * [simplify]: iters left: 4 (40 enodes) 51.684 * * [simplify]: iters left: 3 (42 enodes) 51.696 * * [simplify]: Extracting #0: cost 1 inf + 0 51.697 * * [simplify]: Extracting #1: cost 8 inf + 0 51.697 * * [simplify]: Extracting #2: cost 11 inf + 123 51.697 * * [simplify]: Extracting #3: cost 13 inf + 245 51.697 * * [simplify]: Extracting #4: cost 12 inf + 247 51.697 * * [simplify]: Extracting #5: cost 3 inf + 1269 51.698 * * [simplify]: Extracting #6: cost 0 inf + 1555 51.699 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (sqrt 2) 2)) 51.699 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ (sqrt (- 1 k)) 1) (sqrt 2))) (/ (sqrt (- 1 k)) (* (sqrt 2) 2))))) 51.699 * * * * [progress]: [ 34 / 226 ] simplifiying candidate # 51.699 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) 2) 51.699 * * [simplify]: iters left: 6 (7 enodes) 51.704 * * [simplify]: iters left: 5 (28 enodes) 51.713 * * [simplify]: iters left: 4 (35 enodes) 51.723 * * [simplify]: Extracting #0: cost 1 inf + 0 51.723 * * [simplify]: Extracting #1: cost 6 inf + 0 51.723 * * [simplify]: Extracting #2: cost 7 inf + 2 51.723 * * [simplify]: Extracting #3: cost 11 inf + 2 51.723 * * [simplify]: Extracting #4: cost 9 inf + 45 51.724 * * [simplify]: Extracting #5: cost 4 inf + 375 51.724 * * [simplify]: Extracting #6: cost 0 inf + 826 51.724 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 4) 51.724 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ (sqrt (- 1 k)) 1) 1)) (/ (sqrt (- 1 k)) 4)))) 51.725 * * * * [progress]: [ 35 / 226 ] simplifiying candidate # 51.725 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (cbrt 2)) 51.725 * * [simplify]: iters left: 6 (7 enodes) 51.729 * * [simplify]: iters left: 5 (30 enodes) 51.740 * * [simplify]: iters left: 4 (49 enodes) 51.759 * * [simplify]: iters left: 3 (59 enodes) 51.776 * * [simplify]: iters left: 2 (64 enodes) 51.787 * * [simplify]: Extracting #0: cost 1 inf + 0 51.787 * * [simplify]: Extracting #1: cost 9 inf + 0 51.787 * * [simplify]: Extracting #2: cost 23 inf + 0 51.787 * * [simplify]: Extracting #3: cost 24 inf + 3 51.787 * * [simplify]: Extracting #4: cost 15 inf + 980 51.788 * * [simplify]: Extracting #5: cost 1 inf + 3007 51.788 * * [simplify]: Extracting #6: cost 0 inf + 3169 51.789 * [simplify]: Simplified to (/ (- 1 k) (* (cbrt 2) (cbrt 2))) 51.789 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))))) 51.789 * * * * [progress]: [ 36 / 226 ] simplifiying candidate # 51.789 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 51.789 * * [simplify]: iters left: 6 (8 enodes) 51.792 * * [simplify]: iters left: 5 (33 enodes) 51.798 * * [simplify]: iters left: 4 (55 enodes) 51.807 * * [simplify]: iters left: 3 (72 enodes) 51.818 * * [simplify]: iters left: 2 (84 enodes) 51.830 * * [simplify]: iters left: 1 (88 enodes) 51.844 * * [simplify]: Extracting #0: cost 1 inf + 0 51.844 * * [simplify]: Extracting #1: cost 11 inf + 0 51.845 * * [simplify]: Extracting #2: cost 30 inf + 0 51.845 * * [simplify]: Extracting #3: cost 33 inf + 84 51.845 * * [simplify]: Extracting #4: cost 12 inf + 2402 51.847 * * [simplify]: Extracting #5: cost 0 inf + 4469 51.848 * [simplify]: Simplified to (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 51.849 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))))) 51.849 * * * * [progress]: [ 37 / 226 ] simplifiying candidate # 51.849 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) 2) 51.849 * * [simplify]: iters left: 6 (7 enodes) 51.854 * * [simplify]: iters left: 5 (30 enodes) 51.867 * * [simplify]: iters left: 4 (52 enodes) 51.880 * * [simplify]: iters left: 3 (70 enodes) 51.890 * * [simplify]: iters left: 2 (81 enodes) 51.901 * * [simplify]: iters left: 1 (84 enodes) 51.915 * * [simplify]: Extracting #0: cost 1 inf + 0 51.915 * * [simplify]: Extracting #1: cost 11 inf + 0 51.916 * * [simplify]: Extracting #2: cost 25 inf + 203 51.916 * * [simplify]: Extracting #3: cost 25 inf + 530 51.917 * * [simplify]: Extracting #4: cost 4 inf + 2936 51.918 * * [simplify]: Extracting #5: cost 0 inf + 3504 51.919 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (cbrt 2)) 51.919 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) 2) (cbrt 2))))) 51.919 * * * * [progress]: [ 38 / 226 ] simplifiying candidate # 51.920 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 51.920 * * [simplify]: iters left: 6 (8 enodes) 51.925 * * [simplify]: iters left: 5 (33 enodes) 51.936 * * [simplify]: iters left: 4 (55 enodes) 51.945 * * [simplify]: iters left: 3 (72 enodes) 51.955 * * [simplify]: iters left: 2 (84 enodes) 51.971 * * [simplify]: iters left: 1 (88 enodes) 51.994 * * [simplify]: Extracting #0: cost 1 inf + 0 51.995 * * [simplify]: Extracting #1: cost 11 inf + 0 51.995 * * [simplify]: Extracting #2: cost 30 inf + 0 51.995 * * [simplify]: Extracting #3: cost 33 inf + 44 51.996 * * [simplify]: Extracting #4: cost 12 inf + 2362 51.997 * * [simplify]: Extracting #5: cost 0 inf + 4469 51.999 * [simplify]: Simplified to (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 51.999 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))))) 51.999 * * * * [progress]: [ 39 / 226 ] simplifiying candidate # 52.000 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (sqrt 2)) 52.000 * * [simplify]: iters left: 6 (7 enodes) 52.004 * * [simplify]: iters left: 5 (30 enodes) 52.015 * * [simplify]: iters left: 4 (48 enodes) 52.029 * * [simplify]: iters left: 3 (56 enodes) 52.044 * * [simplify]: Extracting #0: cost 1 inf + 0 52.044 * * [simplify]: Extracting #1: cost 8 inf + 0 52.044 * * [simplify]: Extracting #2: cost 15 inf + 43 52.044 * * [simplify]: Extracting #3: cost 16 inf + 86 52.044 * * [simplify]: Extracting #4: cost 5 inf + 911 52.045 * * [simplify]: Extracting #5: cost 1 inf + 1198 52.045 * * [simplify]: Extracting #6: cost 0 inf + 1320 52.046 * [simplify]: Simplified to (/ (- 1 k) 2) 52.046 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (- 1 k) 2)))) 52.046 * * * * [progress]: [ 40 / 226 ] simplifiying candidate # 52.047 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) 2) 52.047 * * [simplify]: iters left: 6 (7 enodes) 52.050 * * [simplify]: iters left: 5 (30 enodes) 52.055 * * [simplify]: iters left: 4 (52 enodes) 52.063 * * [simplify]: iters left: 3 (70 enodes) 52.073 * * [simplify]: iters left: 2 (81 enodes) 52.086 * * [simplify]: iters left: 1 (84 enodes) 52.096 * * [simplify]: Extracting #0: cost 1 inf + 0 52.096 * * [simplify]: Extracting #1: cost 11 inf + 0 52.097 * * [simplify]: Extracting #2: cost 25 inf + 123 52.097 * * [simplify]: Extracting #3: cost 25 inf + 330 52.097 * * [simplify]: Extracting #4: cost 4 inf + 2256 52.098 * * [simplify]: Extracting #5: cost 0 inf + 2704 52.098 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (sqrt 2)) 52.098 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) 2) (sqrt 2))))) 52.099 * * * * [progress]: [ 41 / 226 ] simplifiying candidate # 52.099 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2)) 52.099 * * [simplify]: iters left: 6 (7 enodes) 52.101 * * [simplify]: iters left: 5 (31 enodes) 52.107 * * [simplify]: iters left: 4 (51 enodes) 52.114 * * [simplify]: iters left: 3 (64 enodes) 52.123 * * [simplify]: iters left: 2 (77 enodes) 52.144 * * [simplify]: iters left: 1 (84 enodes) 52.161 * * [simplify]: Extracting #0: cost 1 inf + 0 52.161 * * [simplify]: Extracting #1: cost 11 inf + 0 52.161 * * [simplify]: Extracting #2: cost 26 inf + 82 52.161 * * [simplify]: Extracting #3: cost 24 inf + 692 52.162 * * [simplify]: Extracting #4: cost 3 inf + 3057 52.162 * * [simplify]: Extracting #5: cost 0 inf + 3504 52.163 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2))) 52.163 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* 2 (cbrt 2)))))) 52.163 * * * * [progress]: [ 42 / 226 ] simplifiying candidate # 52.163 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2)) 52.163 * * [simplify]: iters left: 6 (7 enodes) 52.166 * * [simplify]: iters left: 5 (31 enodes) 52.173 * * [simplify]: iters left: 4 (51 enodes) 52.181 * * [simplify]: iters left: 3 (64 enodes) 52.191 * * [simplify]: iters left: 2 (77 enodes) 52.212 * * [simplify]: iters left: 1 (84 enodes) 52.234 * * [simplify]: Extracting #0: cost 1 inf + 0 52.234 * * [simplify]: Extracting #1: cost 11 inf + 0 52.234 * * [simplify]: Extracting #2: cost 26 inf + 42 52.234 * * [simplify]: Extracting #3: cost 24 inf + 452 52.235 * * [simplify]: Extracting #4: cost 3 inf + 2337 52.236 * * [simplify]: Extracting #5: cost 0 inf + 2704 52.237 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2))) 52.237 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ 1 1) (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2)))))) 52.238 * * * * [progress]: [ 43 / 226 ] simplifiying candidate # 52.238 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2) 52.238 * * [simplify]: iters left: 6 (6 enodes) 52.242 * * [simplify]: iters left: 5 (29 enodes) 52.252 * * [simplify]: iters left: 4 (44 enodes) 52.261 * * [simplify]: iters left: 3 (50 enodes) 52.269 * * [simplify]: iters left: 2 (57 enodes) 52.277 * * [simplify]: Extracting #0: cost 1 inf + 0 52.277 * * [simplify]: Extracting #1: cost 9 inf + 0 52.277 * * [simplify]: Extracting #2: cost 15 inf + 3 52.278 * * [simplify]: Extracting #3: cost 11 inf + 131 52.278 * * [simplify]: Extracting #4: cost 2 inf + 711 52.278 * * [simplify]: Extracting #5: cost 0 inf + 836 52.278 * [simplify]: Simplified to (- 1/4 (/ k 4)) 52.278 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ 1 1) 1)) (- 1/4 (/ k 4))))) 52.278 * * * * [progress]: [ 44 / 226 ] simplifiying candidate # 52.279 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (cbrt 2)) 52.279 * * [simplify]: iters left: 6 (9 enodes) 52.282 * * [simplify]: iters left: 5 (36 enodes) 52.290 * * [simplify]: iters left: 4 (58 enodes) 52.298 * * [simplify]: iters left: 3 (71 enodes) 52.308 * * [simplify]: iters left: 2 (79 enodes) 52.328 * * [simplify]: iters left: 1 (80 enodes) 52.348 * * [simplify]: Extracting #0: cost 1 inf + 0 52.348 * * [simplify]: Extracting #1: cost 9 inf + 0 52.348 * * [simplify]: Extracting #2: cost 24 inf + 0 52.348 * * [simplify]: Extracting #3: cost 29 inf + 2 52.348 * * [simplify]: Extracting #4: cost 10 inf + 2233 52.350 * * [simplify]: Extracting #5: cost 1 inf + 4013 52.351 * * [simplify]: Extracting #6: cost 0 inf + 4135 52.353 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 52.353 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))))) 52.353 * * * * [progress]: [ 45 / 226 ] simplifiying candidate # 52.353 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (sqrt 2)) 52.353 * * [simplify]: iters left: 6 (10 enodes) 52.360 * * [simplify]: iters left: 5 (39 enodes) 52.372 * * [simplify]: iters left: 4 (64 enodes) 52.391 * * [simplify]: iters left: 3 (86 enodes) 52.417 * * [simplify]: iters left: 2 (99 enodes) 52.443 * * [simplify]: iters left: 1 (104 enodes) 52.468 * * [simplify]: Extracting #0: cost 1 inf + 0 52.468 * * [simplify]: Extracting #1: cost 11 inf + 0 52.468 * * [simplify]: Extracting #2: cost 31 inf + 0 52.468 * * [simplify]: Extracting #3: cost 39 inf + 2 52.469 * * [simplify]: Extracting #4: cost 22 inf + 1871 52.471 * * [simplify]: Extracting #5: cost 4 inf + 4865 52.472 * * [simplify]: Extracting #6: cost 0 inf + 5675 52.473 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2))) 52.473 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2)))))) 52.473 * * * * [progress]: [ 46 / 226 ] simplifiying candidate # 52.473 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2) 52.473 * * [simplify]: iters left: 6 (9 enodes) 52.476 * * [simplify]: iters left: 5 (36 enodes) 52.482 * * [simplify]: iters left: 4 (61 enodes) 52.492 * * [simplify]: iters left: 3 (84 enodes) 52.508 * * [simplify]: iters left: 2 (96 enodes) 52.532 * * [simplify]: iters left: 1 (100 enodes) 52.559 * * [simplify]: Extracting #0: cost 1 inf + 0 52.559 * * [simplify]: Extracting #1: cost 11 inf + 0 52.559 * * [simplify]: Extracting #2: cost 27 inf + 82 52.560 * * [simplify]: Extracting #3: cost 29 inf + 651 52.560 * * [simplify]: Extracting #4: cost 12 inf + 2763 52.562 * * [simplify]: Extracting #5: cost 1 inf + 4587 52.564 * * [simplify]: Extracting #6: cost 0 inf + 4710 52.565 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (cbrt 2))) 52.565 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (- 1 (sqrt k)) (* 2 (cbrt 2)))))) 52.565 * * * * [progress]: [ 47 / 226 ] simplifiying candidate # 52.566 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (cbrt 2)) 52.566 * * [simplify]: iters left: 6 (10 enodes) 52.573 * * [simplify]: iters left: 5 (39 enodes) 52.585 * * [simplify]: iters left: 4 (64 enodes) 52.603 * * [simplify]: iters left: 3 (86 enodes) 52.627 * * [simplify]: iters left: 2 (99 enodes) 52.652 * * [simplify]: iters left: 1 (104 enodes) 52.673 * * [simplify]: Extracting #0: cost 1 inf + 0 52.673 * * [simplify]: Extracting #1: cost 11 inf + 0 52.673 * * [simplify]: Extracting #2: cost 31 inf + 0 52.673 * * [simplify]: Extracting #3: cost 39 inf + 2 52.673 * * [simplify]: Extracting #4: cost 22 inf + 1831 52.674 * * [simplify]: Extracting #5: cost 4 inf + 4785 52.675 * * [simplify]: Extracting #6: cost 0 inf + 5595 52.676 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2))) 52.676 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2)))))) 52.676 * * * * [progress]: [ 48 / 226 ] simplifiying candidate # 52.676 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2)) 52.677 * * [simplify]: iters left: 6 (9 enodes) 52.682 * * [simplify]: iters left: 5 (36 enodes) 52.689 * * [simplify]: iters left: 4 (57 enodes) 52.700 * * [simplify]: iters left: 3 (73 enodes) 52.718 * * [simplify]: iters left: 2 (80 enodes) 52.737 * * [simplify]: iters left: 1 (81 enodes) 52.750 * * [simplify]: Extracting #0: cost 1 inf + 0 52.750 * * [simplify]: Extracting #1: cost 9 inf + 0 52.750 * * [simplify]: Extracting #2: cost 18 inf + 43 52.750 * * [simplify]: Extracting #3: cost 23 inf + 85 52.750 * * [simplify]: Extracting #4: cost 9 inf + 1271 52.751 * * [simplify]: Extracting #5: cost 0 inf + 2370 52.751 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 52.751 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (- 1 (sqrt k)) 2)))) 52.751 * * * * [progress]: [ 49 / 226 ] simplifiying candidate # 52.751 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2) 52.752 * * [simplify]: iters left: 6 (9 enodes) 52.754 * * [simplify]: iters left: 5 (36 enodes) 52.761 * * [simplify]: iters left: 4 (61 enodes) 52.770 * * [simplify]: iters left: 3 (84 enodes) 52.790 * * [simplify]: iters left: 2 (96 enodes) 52.818 * * [simplify]: iters left: 1 (100 enodes) 52.842 * * [simplify]: Extracting #0: cost 1 inf + 0 52.842 * * [simplify]: Extracting #1: cost 11 inf + 0 52.842 * * [simplify]: Extracting #2: cost 27 inf + 42 52.842 * * [simplify]: Extracting #3: cost 29 inf + 411 52.843 * * [simplify]: Extracting #4: cost 12 inf + 2163 52.845 * * [simplify]: Extracting #5: cost 1 inf + 3707 52.846 * * [simplify]: Extracting #6: cost 0 inf + 3830 52.848 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (sqrt 2))) 52.848 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) 1)) (/ (- 1 (sqrt k)) (* 2 (sqrt 2)))))) 52.848 * * * * [progress]: [ 50 / 226 ] simplifiying candidate # 52.848 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) (cbrt 2)) 52.849 * * [simplify]: iters left: 6 (9 enodes) 52.854 * * [simplify]: iters left: 5 (36 enodes) 52.862 * * [simplify]: iters left: 4 (62 enodes) 52.870 * * [simplify]: iters left: 3 (78 enodes) 52.881 * * [simplify]: iters left: 2 (90 enodes) 52.894 * * [simplify]: iters left: 1 (94 enodes) 52.921 * * [simplify]: Extracting #0: cost 1 inf + 0 52.921 * * [simplify]: Extracting #1: cost 11 inf + 0 52.921 * * [simplify]: Extracting #2: cost 27 inf + 1 52.921 * * [simplify]: Extracting #3: cost 29 inf + 409 52.922 * * [simplify]: Extracting #4: cost 12 inf + 2359 52.923 * * [simplify]: Extracting #5: cost 2 inf + 4022 52.924 * * [simplify]: Extracting #6: cost 0 inf + 4466 52.926 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) 2)) 52.926 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) 2))))) 52.926 * * * * [progress]: [ 51 / 226 ] simplifiying candidate # 52.927 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) (sqrt 2)) 52.927 * * [simplify]: iters left: 6 (9 enodes) 52.932 * * [simplify]: iters left: 5 (36 enodes) 52.947 * * [simplify]: iters left: 4 (62 enodes) 52.964 * * [simplify]: iters left: 3 (78 enodes) 52.985 * * [simplify]: iters left: 2 (90 enodes) 53.007 * * [simplify]: iters left: 1 (94 enodes) 53.019 * * [simplify]: Extracting #0: cost 1 inf + 0 53.019 * * [simplify]: Extracting #1: cost 11 inf + 0 53.019 * * [simplify]: Extracting #2: cost 27 inf + 1 53.019 * * [simplify]: Extracting #3: cost 29 inf + 249 53.019 * * [simplify]: Extracting #4: cost 12 inf + 1879 53.020 * * [simplify]: Extracting #5: cost 2 inf + 3302 53.021 * * [simplify]: Extracting #6: cost 0 inf + 3666 53.021 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) 2)) 53.021 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (sqrt 2))) (/ (- 1 (sqrt k)) (* (sqrt 2) 2))))) 53.021 * * * * [progress]: [ 52 / 226 ] simplifiying candidate # 53.022 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) 2) 53.022 * * [simplify]: iters left: 6 (8 enodes) 53.025 * * [simplify]: iters left: 5 (34 enodes) 53.032 * * [simplify]: iters left: 4 (58 enodes) 53.042 * * [simplify]: iters left: 3 (65 enodes) 53.052 * * [simplify]: Extracting #0: cost 1 inf + 0 53.052 * * [simplify]: Extracting #1: cost 8 inf + 0 53.052 * * [simplify]: Extracting #2: cost 14 inf + 3 53.052 * * [simplify]: Extracting #3: cost 17 inf + 5 53.052 * * [simplify]: Extracting #4: cost 12 inf + 292 53.053 * * [simplify]: Extracting #5: cost 1 inf + 1355 53.053 * * [simplify]: Extracting #6: cost 0 inf + 1478 53.054 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 4) 53.054 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ (+ (sqrt 1) (sqrt k)) 1) 1)) (/ (- 1 (sqrt k)) 4)))) 53.054 * * * * [progress]: [ 53 / 226 ] simplifiying candidate # 53.055 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) (cbrt 2)) 53.055 * * [simplify]: iters left: 6 (8 enodes) 53.060 * * [simplify]: iters left: 5 (33 enodes) 53.071 * * [simplify]: iters left: 4 (52 enodes) 53.086 * * [simplify]: iters left: 3 (62 enodes) 53.104 * * [simplify]: iters left: 2 (67 enodes) 53.123 * * [simplify]: Extracting #0: cost 1 inf + 0 53.123 * * [simplify]: Extracting #1: cost 9 inf + 0 53.123 * * [simplify]: Extracting #2: cost 23 inf + 0 53.123 * * [simplify]: Extracting #3: cost 24 inf + 285 53.123 * * [simplify]: Extracting #4: cost 18 inf + 975 53.124 * * [simplify]: Extracting #5: cost 7 inf + 2516 53.125 * * [simplify]: Extracting #6: cost 0 inf + 3891 53.126 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 53.126 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))))) 53.127 * * * * [progress]: [ 54 / 226 ] simplifiying candidate # 53.127 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) (sqrt 2)) 53.127 * * [simplify]: iters left: 6 (9 enodes) 53.133 * * [simplify]: iters left: 5 (36 enodes) 53.145 * * [simplify]: iters left: 4 (58 enodes) 53.163 * * [simplify]: iters left: 3 (75 enodes) 53.184 * * [simplify]: iters left: 2 (87 enodes) 53.211 * * [simplify]: iters left: 1 (91 enodes) 53.233 * * [simplify]: Extracting #0: cost 1 inf + 0 53.234 * * [simplify]: Extracting #1: cost 11 inf + 0 53.234 * * [simplify]: Extracting #2: cost 30 inf + 0 53.234 * * [simplify]: Extracting #3: cost 36 inf + 83 53.234 * * [simplify]: Extracting #4: cost 30 inf + 451 53.235 * * [simplify]: Extracting #5: cost 10 inf + 3649 53.237 * * [simplify]: Extracting #6: cost 0 inf + 5431 53.238 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2))) 53.239 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2)))))) 53.239 * * * * [progress]: [ 55 / 226 ] simplifiying candidate # 53.239 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) 2) 53.239 * * [simplify]: iters left: 6 (8 enodes) 53.244 * * [simplify]: iters left: 5 (33 enodes) 53.249 * * [simplify]: iters left: 4 (55 enodes) 53.258 * * [simplify]: iters left: 3 (73 enodes) 53.268 * * [simplify]: iters left: 2 (84 enodes) 53.288 * * [simplify]: iters left: 1 (87 enodes) 53.310 * * [simplify]: Extracting #0: cost 1 inf + 0 53.310 * * [simplify]: Extracting #1: cost 11 inf + 0 53.313 * * [simplify]: Extracting #2: cost 25 inf + 203 53.313 * * [simplify]: Extracting #3: cost 29 inf + 407 53.313 * * [simplify]: Extracting #4: cost 24 inf + 896 53.314 * * [simplify]: Extracting #5: cost 9 inf + 2805 53.315 * * [simplify]: Extracting #6: cost 0 inf + 4466 53.316 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (cbrt 2))) 53.316 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (- 1 (sqrt k)) (* 2 (cbrt 2)))))) 53.316 * * * * [progress]: [ 56 / 226 ] simplifiying candidate # 53.316 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) (cbrt 2)) 53.316 * * [simplify]: iters left: 6 (9 enodes) 53.319 * * [simplify]: iters left: 5 (36 enodes) 53.325 * * [simplify]: iters left: 4 (58 enodes) 53.334 * * [simplify]: iters left: 3 (75 enodes) 53.346 * * [simplify]: iters left: 2 (87 enodes) 53.361 * * [simplify]: iters left: 1 (91 enodes) 53.373 * * [simplify]: Extracting #0: cost 1 inf + 0 53.373 * * [simplify]: Extracting #1: cost 11 inf + 0 53.373 * * [simplify]: Extracting #2: cost 30 inf + 0 53.373 * * [simplify]: Extracting #3: cost 36 inf + 43 53.373 * * [simplify]: Extracting #4: cost 30 inf + 451 53.373 * * [simplify]: Extracting #5: cost 10 inf + 3769 53.374 * * [simplify]: Extracting #6: cost 0 inf + 5431 53.375 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2))) 53.375 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2)))))) 53.376 * * * * [progress]: [ 57 / 226 ] simplifiying candidate # 53.376 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) (sqrt 2)) 53.376 * * [simplify]: iters left: 6 (8 enodes) 53.378 * * [simplify]: iters left: 5 (33 enodes) 53.390 * * [simplify]: iters left: 4 (51 enodes) 53.405 * * [simplify]: iters left: 3 (59 enodes) 53.424 * * [simplify]: Extracting #0: cost 1 inf + 0 53.424 * * [simplify]: Extracting #1: cost 8 inf + 0 53.424 * * [simplify]: Extracting #2: cost 15 inf + 43 53.424 * * [simplify]: Extracting #3: cost 19 inf + 85 53.424 * * [simplify]: Extracting #4: cost 16 inf + 250 53.425 * * [simplify]: Extracting #5: cost 5 inf + 1311 53.425 * * [simplify]: Extracting #6: cost 0 inf + 1962 53.426 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 53.426 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (- 1 (sqrt k)) 2)))) 53.427 * * * * [progress]: [ 58 / 226 ] simplifiying candidate # 53.427 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) 2) 53.427 * * [simplify]: iters left: 6 (8 enodes) 53.432 * * [simplify]: iters left: 5 (33 enodes) 53.443 * * [simplify]: iters left: 4 (55 enodes) 53.456 * * [simplify]: iters left: 3 (73 enodes) 53.466 * * [simplify]: iters left: 2 (84 enodes) 53.477 * * [simplify]: iters left: 1 (87 enodes) 53.490 * * [simplify]: Extracting #0: cost 1 inf + 0 53.490 * * [simplify]: Extracting #1: cost 11 inf + 0 53.490 * * [simplify]: Extracting #2: cost 25 inf + 123 53.491 * * [simplify]: Extracting #3: cost 29 inf + 247 53.491 * * [simplify]: Extracting #4: cost 24 inf + 576 53.491 * * [simplify]: Extracting #5: cost 9 inf + 2245 53.492 * * [simplify]: Extracting #6: cost 0 inf + 3666 53.492 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (sqrt 2))) 53.493 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) 1)) (/ (- 1 (sqrt k)) (* 2 (sqrt 2)))))) 53.493 * * * * [progress]: [ 59 / 226 ] simplifiying candidate # 53.493 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) (cbrt 2)) 53.493 * * [simplify]: iters left: 6 (8 enodes) 53.496 * * [simplify]: iters left: 5 (34 enodes) 53.501 * * [simplify]: iters left: 4 (54 enodes) 53.514 * * [simplify]: iters left: 3 (67 enodes) 53.533 * * [simplify]: iters left: 2 (80 enodes) 53.554 * * [simplify]: iters left: 1 (87 enodes) 53.578 * * [simplify]: Extracting #0: cost 1 inf + 0 53.578 * * [simplify]: Extracting #1: cost 11 inf + 0 53.578 * * [simplify]: Extracting #2: cost 25 inf + 203 53.578 * * [simplify]: Extracting #3: cost 26 inf + 773 53.578 * * [simplify]: Extracting #4: cost 24 inf + 896 53.579 * * [simplify]: Extracting #5: cost 8 inf + 3127 53.581 * * [simplify]: Extracting #6: cost 0 inf + 4466 53.582 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) 2)) 53.582 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ (+ 1 (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) 2))))) 53.582 * * * * [progress]: [ 60 / 226 ] simplifiying candidate # 53.583 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) (sqrt 2)) 53.583 * * [simplify]: iters left: 6 (8 enodes) 53.588 * * [simplify]: iters left: 5 (34 enodes) 53.593 * * [simplify]: iters left: 4 (54 enodes) 53.602 * * [simplify]: iters left: 3 (67 enodes) 53.611 * * [simplify]: iters left: 2 (80 enodes) 53.629 * * [simplify]: iters left: 1 (87 enodes) 53.645 * * [simplify]: Extracting #0: cost 1 inf + 0 53.645 * * [simplify]: Extracting #1: cost 11 inf + 0 53.646 * * [simplify]: Extracting #2: cost 25 inf + 123 53.646 * * [simplify]: Extracting #3: cost 26 inf + 493 53.646 * * [simplify]: Extracting #4: cost 24 inf + 576 53.646 * * [simplify]: Extracting #5: cost 8 inf + 2527 53.647 * * [simplify]: Extracting #6: cost 0 inf + 3666 53.648 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) 2)) 53.648 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ (+ 1 (sqrt k)) 1) (sqrt 2))) (/ (- 1 (sqrt k)) (* (sqrt 2) 2))))) 53.648 * * * * [progress]: [ 61 / 226 ] simplifiying candidate # 53.648 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) 2) 53.648 * * [simplify]: iters left: 6 (7 enodes) 53.651 * * [simplify]: iters left: 5 (32 enodes) 53.657 * * [simplify]: iters left: 4 (50 enodes) 53.664 * * [simplify]: iters left: 3 (54 enodes) 53.679 * * [simplify]: Extracting #0: cost 1 inf + 0 53.679 * * [simplify]: Extracting #1: cost 8 inf + 0 53.679 * * [simplify]: Extracting #2: cost 13 inf + 3 53.679 * * [simplify]: Extracting #3: cost 15 inf + 5 53.679 * * [simplify]: Extracting #4: cost 14 inf + 6 53.679 * * [simplify]: Extracting #5: cost 4 inf + 825 53.680 * * [simplify]: Extracting #6: cost 0 inf + 1234 53.680 * [simplify]: Simplified to (- 1/4 (/ (sqrt k) 4)) 53.680 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ (+ 1 (sqrt k)) 1) 1)) (- 1/4 (/ (sqrt k) 4))))) 53.680 * * * * [progress]: [ 62 / 226 ] simplifiying candidate # 53.681 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (cbrt 2)) 53.681 * * [simplify]: iters left: 6 (7 enodes) 53.685 * * [simplify]: iters left: 5 (30 enodes) 53.696 * * [simplify]: iters left: 4 (49 enodes) 53.711 * * [simplify]: iters left: 3 (59 enodes) 53.728 * * [simplify]: iters left: 2 (64 enodes) 53.743 * * [simplify]: Extracting #0: cost 1 inf + 0 53.743 * * [simplify]: Extracting #1: cost 9 inf + 0 53.743 * * [simplify]: Extracting #2: cost 23 inf + 0 53.743 * * [simplify]: Extracting #3: cost 24 inf + 3 53.743 * * [simplify]: Extracting #4: cost 15 inf + 980 53.743 * * [simplify]: Extracting #5: cost 1 inf + 3007 53.744 * * [simplify]: Extracting #6: cost 0 inf + 3169 53.744 * [simplify]: Simplified to (/ (- 1 k) (* (cbrt 2) (cbrt 2))) 53.744 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))))) 53.744 * * * * [progress]: [ 63 / 226 ] simplifiying candidate # 53.745 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 53.745 * * [simplify]: iters left: 6 (8 enodes) 53.747 * * [simplify]: iters left: 5 (33 enodes) 53.755 * * [simplify]: iters left: 4 (55 enodes) 53.764 * * [simplify]: iters left: 3 (72 enodes) 53.775 * * [simplify]: iters left: 2 (84 enodes) 53.792 * * [simplify]: iters left: 1 (88 enodes) 53.805 * * [simplify]: Extracting #0: cost 1 inf + 0 53.805 * * [simplify]: Extracting #1: cost 11 inf + 0 53.805 * * [simplify]: Extracting #2: cost 30 inf + 0 53.805 * * [simplify]: Extracting #3: cost 33 inf + 84 53.805 * * [simplify]: Extracting #4: cost 12 inf + 2402 53.806 * * [simplify]: Extracting #5: cost 0 inf + 4469 53.807 * [simplify]: Simplified to (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 53.807 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))))) 53.807 * * * * [progress]: [ 64 / 226 ] simplifiying candidate # 53.807 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) 2) 53.807 * * [simplify]: iters left: 6 (7 enodes) 53.810 * * [simplify]: iters left: 5 (30 enodes) 53.815 * * [simplify]: iters left: 4 (52 enodes) 53.823 * * [simplify]: iters left: 3 (70 enodes) 53.842 * * [simplify]: iters left: 2 (81 enodes) 53.867 * * [simplify]: iters left: 1 (84 enodes) 53.877 * * [simplify]: Extracting #0: cost 1 inf + 0 53.877 * * [simplify]: Extracting #1: cost 11 inf + 0 53.878 * * [simplify]: Extracting #2: cost 25 inf + 203 53.878 * * [simplify]: Extracting #3: cost 25 inf + 530 53.878 * * [simplify]: Extracting #4: cost 4 inf + 2936 53.879 * * [simplify]: Extracting #5: cost 0 inf + 3504 53.879 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (cbrt 2)) 53.879 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) 2) (cbrt 2))))) 53.879 * * * * [progress]: [ 65 / 226 ] simplifiying candidate # 53.880 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 53.880 * * [simplify]: iters left: 6 (8 enodes) 53.882 * * [simplify]: iters left: 5 (33 enodes) 53.888 * * [simplify]: iters left: 4 (55 enodes) 53.897 * * [simplify]: iters left: 3 (72 enodes) 53.908 * * [simplify]: iters left: 2 (84 enodes) 53.926 * * [simplify]: iters left: 1 (88 enodes) 53.946 * * [simplify]: Extracting #0: cost 1 inf + 0 53.946 * * [simplify]: Extracting #1: cost 11 inf + 0 53.947 * * [simplify]: Extracting #2: cost 30 inf + 0 53.947 * * [simplify]: Extracting #3: cost 33 inf + 44 53.947 * * [simplify]: Extracting #4: cost 12 inf + 2362 53.948 * * [simplify]: Extracting #5: cost 0 inf + 4469 53.948 * [simplify]: Simplified to (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 53.948 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))))) 53.949 * * * * [progress]: [ 66 / 226 ] simplifiying candidate # 53.949 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (sqrt 2)) 53.949 * * [simplify]: iters left: 6 (7 enodes) 53.951 * * [simplify]: iters left: 5 (30 enodes) 53.959 * * [simplify]: iters left: 4 (48 enodes) 53.966 * * [simplify]: iters left: 3 (56 enodes) 53.975 * * [simplify]: Extracting #0: cost 1 inf + 0 53.975 * * [simplify]: Extracting #1: cost 8 inf + 0 53.975 * * [simplify]: Extracting #2: cost 15 inf + 43 53.975 * * [simplify]: Extracting #3: cost 16 inf + 86 53.976 * * [simplify]: Extracting #4: cost 5 inf + 911 53.976 * * [simplify]: Extracting #5: cost 1 inf + 1198 53.977 * * [simplify]: Extracting #6: cost 0 inf + 1320 53.977 * [simplify]: Simplified to (/ (- 1 k) 2) 53.977 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (- 1 k) 2)))) 53.978 * * * * [progress]: [ 67 / 226 ] simplifiying candidate # 53.978 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) 2) 53.978 * * [simplify]: iters left: 6 (7 enodes) 53.982 * * [simplify]: iters left: 5 (30 enodes) 53.992 * * [simplify]: iters left: 4 (52 enodes) 54.009 * * [simplify]: iters left: 3 (70 enodes) 54.029 * * [simplify]: iters left: 2 (81 enodes) 54.051 * * [simplify]: iters left: 1 (84 enodes) 54.073 * * [simplify]: Extracting #0: cost 1 inf + 0 54.074 * * [simplify]: Extracting #1: cost 11 inf + 0 54.074 * * [simplify]: Extracting #2: cost 25 inf + 123 54.074 * * [simplify]: Extracting #3: cost 25 inf + 330 54.075 * * [simplify]: Extracting #4: cost 4 inf + 2256 54.076 * * [simplify]: Extracting #5: cost 0 inf + 2704 54.076 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (sqrt 2)) 54.076 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) 2) (sqrt 2))))) 54.076 * * * * [progress]: [ 68 / 226 ] simplifiying candidate # 54.076 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2)) 54.077 * * [simplify]: iters left: 6 (7 enodes) 54.079 * * [simplify]: iters left: 5 (31 enodes) 54.087 * * [simplify]: iters left: 4 (51 enodes) 54.095 * * [simplify]: iters left: 3 (64 enodes) 54.104 * * [simplify]: iters left: 2 (77 enodes) 54.126 * * [simplify]: iters left: 1 (84 enodes) 54.148 * * [simplify]: Extracting #0: cost 1 inf + 0 54.148 * * [simplify]: Extracting #1: cost 11 inf + 0 54.149 * * [simplify]: Extracting #2: cost 26 inf + 82 54.149 * * [simplify]: Extracting #3: cost 24 inf + 692 54.150 * * [simplify]: Extracting #4: cost 3 inf + 3057 54.151 * * [simplify]: Extracting #5: cost 0 inf + 3504 54.152 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2))) 54.152 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* 2 (cbrt 2)))))) 54.152 * * * * [progress]: [ 69 / 226 ] simplifiying candidate # 54.153 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2)) 54.153 * * [simplify]: iters left: 6 (7 enodes) 54.157 * * [simplify]: iters left: 5 (31 enodes) 54.162 * * [simplify]: iters left: 4 (51 enodes) 54.170 * * [simplify]: iters left: 3 (64 enodes) 54.179 * * [simplify]: iters left: 2 (77 enodes) 54.193 * * [simplify]: iters left: 1 (84 enodes) 54.205 * * [simplify]: Extracting #0: cost 1 inf + 0 54.205 * * [simplify]: Extracting #1: cost 11 inf + 0 54.205 * * [simplify]: Extracting #2: cost 26 inf + 42 54.205 * * [simplify]: Extracting #3: cost 24 inf + 452 54.206 * * [simplify]: Extracting #4: cost 3 inf + 2337 54.206 * * [simplify]: Extracting #5: cost 0 inf + 2704 54.207 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2))) 54.207 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ 1 1) (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2)))))) 54.207 * * * * [progress]: [ 70 / 226 ] simplifiying candidate # 54.208 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2) 54.208 * * [simplify]: iters left: 6 (6 enodes) 54.210 * * [simplify]: iters left: 5 (29 enodes) 54.216 * * [simplify]: iters left: 4 (44 enodes) 54.223 * * [simplify]: iters left: 3 (50 enodes) 54.233 * * [simplify]: iters left: 2 (57 enodes) 54.249 * * [simplify]: Extracting #0: cost 1 inf + 0 54.249 * * [simplify]: Extracting #1: cost 9 inf + 0 54.249 * * [simplify]: Extracting #2: cost 15 inf + 3 54.249 * * [simplify]: Extracting #3: cost 11 inf + 131 54.249 * * [simplify]: Extracting #4: cost 2 inf + 711 54.250 * * [simplify]: Extracting #5: cost 0 inf + 836 54.250 * [simplify]: Simplified to (- 1/4 (/ k 4)) 54.250 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (/ 1 1) 1)) (- 1/4 (/ k 4))))) 54.251 * * * * [progress]: [ 71 / 226 ] simplifiying candidate # 54.251 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2)) 54.251 * * [simplify]: iters left: 6 (7 enodes) 54.256 * * [simplify]: iters left: 5 (31 enodes) 54.267 * * [simplify]: iters left: 4 (51 enodes) 54.277 * * [simplify]: iters left: 3 (64 enodes) 54.287 * * [simplify]: iters left: 2 (77 enodes) 54.301 * * [simplify]: iters left: 1 (84 enodes) 54.323 * * [simplify]: Extracting #0: cost 1 inf + 0 54.323 * * [simplify]: Extracting #1: cost 11 inf + 0 54.323 * * [simplify]: Extracting #2: cost 26 inf + 82 54.323 * * [simplify]: Extracting #3: cost 24 inf + 692 54.324 * * [simplify]: Extracting #4: cost 3 inf + 3057 54.325 * * [simplify]: Extracting #5: cost 0 inf + 3504 54.327 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2))) 54.327 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* 2 (cbrt 2)))))) 54.327 * * * * [progress]: [ 72 / 226 ] simplifiying candidate # 54.327 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2)) 54.327 * * [simplify]: iters left: 6 (7 enodes) 54.332 * * [simplify]: iters left: 5 (31 enodes) 54.342 * * [simplify]: iters left: 4 (51 enodes) 54.357 * * [simplify]: iters left: 3 (64 enodes) 54.376 * * [simplify]: iters left: 2 (77 enodes) 54.397 * * [simplify]: iters left: 1 (84 enodes) 54.413 * * [simplify]: Extracting #0: cost 1 inf + 0 54.413 * * [simplify]: Extracting #1: cost 11 inf + 0 54.413 * * [simplify]: Extracting #2: cost 26 inf + 42 54.414 * * [simplify]: Extracting #3: cost 24 inf + 452 54.414 * * [simplify]: Extracting #4: cost 3 inf + 2337 54.415 * * [simplify]: Extracting #5: cost 0 inf + 2704 54.415 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2))) 54.415 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ 1 (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2)))))) 54.415 * * * * [progress]: [ 73 / 226 ] simplifiying candidate # 54.415 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2) 54.416 * * [simplify]: iters left: 6 (6 enodes) 54.418 * * [simplify]: iters left: 5 (29 enodes) 54.423 * * [simplify]: iters left: 4 (44 enodes) 54.432 * * [simplify]: iters left: 3 (50 enodes) 54.440 * * [simplify]: iters left: 2 (57 enodes) 54.447 * * [simplify]: Extracting #0: cost 1 inf + 0 54.447 * * [simplify]: Extracting #1: cost 9 inf + 0 54.447 * * [simplify]: Extracting #2: cost 15 inf + 3 54.448 * * [simplify]: Extracting #3: cost 11 inf + 131 54.448 * * [simplify]: Extracting #4: cost 2 inf + 711 54.448 * * [simplify]: Extracting #5: cost 0 inf + 836 54.448 * [simplify]: Simplified to (- 1/4 (/ k 4)) 54.448 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ 1 1)) (- 1/4 (/ k 4))))) 54.448 * * * * [progress]: [ 74 / 226 ] simplifiying candidate # 54.449 * [simplify]: Simplifying (/ (/ 1 2) (cbrt 2)) 54.449 * * [simplify]: iters left: 4 (5 enodes) 54.451 * * [simplify]: iters left: 3 (20 enodes) 54.454 * * [simplify]: iters left: 2 (27 enodes) 54.458 * * [simplify]: iters left: 1 (29 enodes) 54.463 * * [simplify]: Extracting #0: cost 1 inf + 0 54.463 * * [simplify]: Extracting #1: cost 8 inf + 0 54.463 * * [simplify]: Extracting #2: cost 4 inf + 449 54.463 * * [simplify]: Extracting #3: cost 0 inf + 895 54.463 * [simplify]: Simplified to (/ 1/2 (cbrt 2)) 54.463 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) (/ 1/2 (cbrt 2))))) 54.464 * * * * [progress]: [ 75 / 226 ] simplifiying candidate # 54.464 * [simplify]: Simplifying (/ (/ 1 2) (sqrt 2)) 54.464 * * [simplify]: iters left: 4 (5 enodes) 54.467 * * [simplify]: iters left: 3 (20 enodes) 54.470 * * [simplify]: iters left: 2 (27 enodes) 54.477 * * [simplify]: iters left: 1 (29 enodes) 54.486 * * [simplify]: Extracting #0: cost 1 inf + 0 54.486 * * [simplify]: Extracting #1: cost 8 inf + 0 54.486 * * [simplify]: Extracting #2: cost 4 inf + 289 54.486 * * [simplify]: Extracting #3: cost 0 inf + 575 54.486 * [simplify]: Simplified to (/ 1/2 (sqrt 2)) 54.487 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (- 1 k) (sqrt 2))) (/ 1/2 (sqrt 2))))) 54.487 * * * * [progress]: [ 76 / 226 ] simplifiying candidate # 54.487 * [simplify]: Simplifying (/ (/ 1 2) 2) 54.487 * * [simplify]: iters left: 4 (4 enodes) 54.492 * * [simplify]: iters left: 3 (19 enodes) 54.498 * * [simplify]: iters left: 2 (23 enodes) 54.505 * * [simplify]: Extracting #0: cost 1 inf + 0 54.505 * * [simplify]: Extracting #1: cost 0 inf + 1 54.505 * [simplify]: Simplified to 1/4 54.505 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (- 1 k) 1)) 1/4))) 54.505 * * * * [progress]: [ 77 / 226 ] simplifiying candidate # 54.506 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2) 54.506 * * [simplify]: iters left: 6 (6 enodes) 54.510 * * [simplify]: iters left: 5 (29 enodes) 54.521 * * [simplify]: iters left: 4 (44 enodes) 54.534 * * [simplify]: iters left: 3 (50 enodes) 54.553 * * [simplify]: iters left: 2 (57 enodes) 54.569 * * [simplify]: Extracting #0: cost 1 inf + 0 54.569 * * [simplify]: Extracting #1: cost 9 inf + 0 54.569 * * [simplify]: Extracting #2: cost 15 inf + 3 54.569 * * [simplify]: Extracting #3: cost 11 inf + 131 54.570 * * [simplify]: Extracting #4: cost 2 inf + 711 54.570 * * [simplify]: Extracting #5: cost 0 inf + 836 54.571 * [simplify]: Simplified to (- 1/4 (/ k 4)) 54.571 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) 1) (- 1/4 (/ k 4))))) 54.571 * * * * [progress]: [ 78 / 226 ] simplifiying candidate # 54.571 * [simplify]: Simplifying (/ 1 2) 54.571 * * [simplify]: iters left: 2 (3 enodes) 54.574 * * [simplify]: iters left: 1 (12 enodes) 54.579 * * [simplify]: Extracting #0: cost 1 inf + 0 54.579 * * [simplify]: Extracting #1: cost 0 inf + 1 54.579 * [simplify]: Simplified to 1/2 54.579 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) (/ (- 1 k) 2)) 1/2))) 54.579 * * * * [progress]: [ 79 / 226 ] simplifiying candidate # 54.579 * [simplify]: Simplifying (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) 54.579 * * [simplify]: iters left: 6 (9 enodes) 54.586 * * [simplify]: iters left: 5 (42 enodes) 54.600 * * [simplify]: iters left: 4 (70 enodes) 54.620 * * [simplify]: iters left: 3 (117 enodes) 54.644 * * [simplify]: iters left: 2 (232 enodes) 54.710 * * [simplify]: iters left: 1 (452 enodes) 54.922 * * [simplify]: Extracting #0: cost 1 inf + 0 54.922 * * [simplify]: Extracting #1: cost 24 inf + 0 54.923 * * [simplify]: Extracting #2: cost 94 inf + 1 54.923 * * [simplify]: Extracting #3: cost 164 inf + 94 54.924 * * [simplify]: Extracting #4: cost 174 inf + 187 54.926 * * [simplify]: Extracting #5: cost 104 inf + 8023 54.931 * * [simplify]: Extracting #6: cost 33 inf + 28456 54.945 * * [simplify]: Extracting #7: cost 0 inf + 52800 54.961 * * [simplify]: Extracting #8: cost 0 inf + 51842 54.980 * [simplify]: Simplified to (pow (* 2 PI) (- 1/4 (/ k 4))) 54.980 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (- 1/4 (/ k 4))) (pow n (/ (/ (- 1 k) 2) 2))))) 54.980 * * * * [progress]: [ 80 / 226 ] simplifiying candidate # 54.980 * * * * [progress]: [ 81 / 226 ] simplifiying candidate # 54.980 * * * * [progress]: [ 82 / 226 ] simplifiying candidate # 54.980 * * * * [progress]: [ 83 / 226 ] simplifiying candidate # 54.981 * * * * [progress]: [ 84 / 226 ] simplifiying candidate # 54.981 * * * * [progress]: [ 85 / 226 ] simplifiying candidate # 54.981 * * * * [progress]: [ 86 / 226 ] simplifiying candidate # 54.981 * * * * [progress]: [ 87 / 226 ] simplifiying candidate # 54.981 * * * * [progress]: [ 88 / 226 ] simplifiying candidate #real (real->posit16 (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))))> 54.981 * * * * [progress]: [ 89 / 226 ] simplifiying candidate # 54.981 * [simplify]: Simplifying (* (+ (+ (log 2) (log PI)) (log n)) (/ (/ (- 1 k) 2) 2)) 54.981 * * [simplify]: iters left: 6 (14 enodes) 54.990 * * [simplify]: iters left: 5 (60 enodes) 55.011 * * [simplify]: iters left: 4 (108 enodes) 55.050 * * [simplify]: iters left: 3 (251 enodes) 55.140 * * [simplify]: Extracting #0: cost 1 inf + 0 55.140 * * [simplify]: Extracting #1: cost 28 inf + 0 55.141 * * [simplify]: Extracting #2: cost 122 inf + 2 55.141 * * [simplify]: Extracting #3: cost 160 inf + 189 55.142 * * [simplify]: Extracting #4: cost 113 inf + 5961 55.146 * * [simplify]: Extracting #5: cost 37 inf + 24041 55.152 * * [simplify]: Extracting #6: cost 1 inf + 33711 55.163 * * [simplify]: Extracting #7: cost 0 inf + 34016 55.176 * [simplify]: Simplified to (/ (+ (log n) (+ (log 2) (log PI))) (/ 4 (- 1 k))) 55.176 * [simplify]: Simplified (2 1 2 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (exp (/ (+ (log n) (+ (log 2) (log PI))) (/ 4 (- 1 k))))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 55.176 * * * * [progress]: [ 90 / 226 ] simplifiying candidate # 55.176 * [simplify]: Simplifying (* (+ (log (* 2 PI)) (log n)) (/ (/ (- 1 k) 2) 2)) 55.177 * * [simplify]: iters left: 6 (13 enodes) 55.184 * * [simplify]: iters left: 5 (58 enodes) 55.206 * * [simplify]: iters left: 4 (101 enodes) 55.223 * * [simplify]: iters left: 3 (207 enodes) 55.290 * * [simplify]: iters left: 2 (498 enodes) 55.448 * * [simplify]: Extracting #0: cost 1 inf + 0 55.448 * * [simplify]: Extracting #1: cost 58 inf + 0 55.449 * * [simplify]: Extracting #2: cost 205 inf + 4 55.451 * * [simplify]: Extracting #3: cost 247 inf + 841 55.455 * * [simplify]: Extracting #4: cost 201 inf + 6160 55.459 * * [simplify]: Extracting #5: cost 123 inf + 24198 55.473 * * [simplify]: Extracting #6: cost 22 inf + 51656 55.484 * * [simplify]: Extracting #7: cost 0 inf + 58826 55.502 * [simplify]: Simplified to (/ (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)) 4) 55.502 * [simplify]: Simplified (2 1 2 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (exp (/ (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)) 4))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 55.502 * * * * [progress]: [ 91 / 226 ] simplifiying candidate # 55.503 * [simplify]: Simplifying (* (log (* (* 2 PI) n)) (/ (/ (- 1 k) 2) 2)) 55.503 * * [simplify]: iters left: 6 (12 enodes) 55.507 * * [simplify]: iters left: 5 (57 enodes) 55.518 * * [simplify]: iters left: 4 (111 enodes) 55.541 * * [simplify]: iters left: 3 (211 enodes) 55.625 * * [simplify]: iters left: 2 (445 enodes) 55.756 * * [simplify]: Extracting #0: cost 1 inf + 0 55.757 * * [simplify]: Extracting #1: cost 34 inf + 0 55.757 * * [simplify]: Extracting #2: cost 143 inf + 4 55.758 * * [simplify]: Extracting #3: cost 204 inf + 244 55.760 * * [simplify]: Extracting #4: cost 140 inf + 9339 55.768 * * [simplify]: Extracting #5: cost 29 inf + 31420 55.779 * * [simplify]: Extracting #6: cost 0 inf + 37781 55.787 * [simplify]: Simplified to (/ (- (log (* (* 2 PI) n)) (* k (log (* (* 2 PI) n)))) 4) 55.787 * [simplify]: Simplified (2 1 2 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (exp (/ (- (log (* (* 2 PI) n)) (* k (log (* (* 2 PI) n)))) 4))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 55.787 * * * * [progress]: [ 92 / 226 ] simplifiying candidate # 55.787 * * * * [progress]: [ 93 / 226 ] simplifiying candidate # 55.788 * [simplify]: Simplifying (* (* 2 PI) n) 55.788 * * [simplify]: iters left: 4 (5 enodes) 55.789 * * [simplify]: iters left: 3 (19 enodes) 55.792 * * [simplify]: iters left: 2 (27 enodes) 55.797 * * [simplify]: iters left: 1 (32 enodes) 55.801 * * [simplify]: Extracting #0: cost 1 inf + 0 55.801 * * [simplify]: Extracting #1: cost 8 inf + 0 55.801 * * [simplify]: Extracting #2: cost 7 inf + 45 55.801 * * [simplify]: Extracting #3: cost 0 inf + 421 55.802 * [simplify]: Simplified to (* (* 2 PI) n) 55.802 * [simplify]: Simplified (2 1 2 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (* 1 (/ (/ (- 1 k) 2) 2)))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 55.802 * * * * [progress]: [ 94 / 226 ] simplifiying candidate # 55.802 * [simplify]: Simplifying (* (* 2 PI) n) 55.802 * * [simplify]: iters left: 4 (5 enodes) 55.803 * * [simplify]: iters left: 3 (19 enodes) 55.806 * * [simplify]: iters left: 2 (27 enodes) 55.810 * * [simplify]: iters left: 1 (32 enodes) 55.817 * * [simplify]: Extracting #0: cost 1 inf + 0 55.817 * * [simplify]: Extracting #1: cost 8 inf + 0 55.818 * * [simplify]: Extracting #2: cost 7 inf + 45 55.818 * * [simplify]: Extracting #3: cost 0 inf + 421 55.818 * [simplify]: Simplified to (* (* 2 PI) n) 55.818 * [simplify]: Simplified (2 1 2 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (* 1 (/ (/ (- 1 k) 2) 2)))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 55.818 * * * * [progress]: [ 95 / 226 ] simplifiying candidate # 55.819 * [simplify]: Simplifying (* (* 2 PI) n) 55.819 * * [simplify]: iters left: 4 (5 enodes) 55.822 * * [simplify]: iters left: 3 (19 enodes) 55.828 * * [simplify]: iters left: 2 (27 enodes) 55.836 * * [simplify]: iters left: 1 (32 enodes) 55.844 * * [simplify]: Extracting #0: cost 1 inf + 0 55.844 * * [simplify]: Extracting #1: cost 8 inf + 0 55.844 * * [simplify]: Extracting #2: cost 7 inf + 45 55.844 * * [simplify]: Extracting #3: cost 0 inf + 421 55.844 * [simplify]: Simplified to (* (* 2 PI) n) 55.844 * [simplify]: Simplified (2 1 2 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (* 1 (/ (/ (- 1 k) 2) 2)))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 55.845 * * * * [progress]: [ 96 / 226 ] simplifiying candidate # 55.845 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ (/ k 2) 2)) 55.845 * * [simplify]: iters left: 5 (9 enodes) 55.851 * * [simplify]: iters left: 4 (37 enodes) 55.862 * * [simplify]: iters left: 3 (57 enodes) 55.878 * * [simplify]: iters left: 2 (93 enodes) 55.895 * * [simplify]: iters left: 1 (170 enodes) 55.928 * * [simplify]: Extracting #0: cost 1 inf + 0 55.928 * * [simplify]: Extracting #1: cost 13 inf + 0 55.929 * * [simplify]: Extracting #2: cost 60 inf + 1 55.929 * * [simplify]: Extracting #3: cost 80 inf + 93 55.931 * * [simplify]: Extracting #4: cost 43 inf + 3168 55.934 * * [simplify]: Extracting #5: cost 12 inf + 13240 55.940 * * [simplify]: Extracting #6: cost 1 inf + 19094 55.947 * * [simplify]: Extracting #7: cost 0 inf + 19509 55.953 * * [simplify]: Extracting #8: cost 0 inf + 19469 55.959 * [simplify]: Simplified to (pow (* (* 2 PI) n) (/ k 4)) 55.959 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (/ (pow (* (* 2 PI) n) (/ (/ 1 2) 2)) (pow (* (* 2 PI) n) (/ k 4)))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 55.959 * * * * [progress]: [ 97 / 226 ] simplifiying candidate # 55.959 * [simplify]: Simplifying (cbrt (/ (/ (- 1 k) 2) 2)) 55.959 * * [simplify]: iters left: 6 (7 enodes) 55.964 * * [simplify]: iters left: 5 (32 enodes) 55.975 * * [simplify]: iters left: 4 (47 enodes) 55.993 * * [simplify]: iters left: 3 (53 enodes) 56.008 * * [simplify]: iters left: 2 (60 enodes) 56.023 * * [simplify]: Extracting #0: cost 1 inf + 0 56.023 * * [simplify]: Extracting #1: cost 3 inf + 0 56.023 * * [simplify]: Extracting #2: cost 11 inf + 0 56.024 * * [simplify]: Extracting #3: cost 17 inf + 3 56.024 * * [simplify]: Extracting #4: cost 14 inf + 129 56.024 * * [simplify]: Extracting #5: cost 3 inf + 794 56.025 * * [simplify]: Extracting #6: cost 0 inf + 1162 56.025 * [simplify]: Simplified to (cbrt (- 1/4 (/ k 4))) 56.025 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (* (cbrt (/ (/ (- 1 k) 2) 2)) (cbrt (/ (/ (- 1 k) 2) 2)))) (cbrt (- 1/4 (/ k 4))))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 56.026 * * * * [progress]: [ 98 / 226 ] simplifiying candidate # 56.026 * [simplify]: Simplifying (sqrt (/ (/ (- 1 k) 2) 2)) 56.026 * * [simplify]: iters left: 6 (7 enodes) 56.031 * * [simplify]: iters left: 5 (32 enodes) 56.042 * * [simplify]: iters left: 4 (47 enodes) 56.052 * * [simplify]: iters left: 3 (53 enodes) 56.060 * * [simplify]: iters left: 2 (60 enodes) 56.069 * * [simplify]: Extracting #0: cost 1 inf + 0 56.069 * * [simplify]: Extracting #1: cost 3 inf + 0 56.069 * * [simplify]: Extracting #2: cost 11 inf + 0 56.069 * * [simplify]: Extracting #3: cost 17 inf + 3 56.069 * * [simplify]: Extracting #4: cost 14 inf + 129 56.069 * * [simplify]: Extracting #5: cost 3 inf + 794 56.070 * * [simplify]: Extracting #6: cost 0 inf + 1082 56.070 * [simplify]: Simplified to (sqrt (- 1/4 (/ k 4))) 56.070 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (sqrt (/ (/ (- 1 k) 2) 2))) (sqrt (- 1/4 (/ k 4))))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 56.070 * * * * [progress]: [ 99 / 226 ] simplifiying candidate # 56.070 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)) 56.070 * * [simplify]: iters left: 6 (8 enodes) 56.073 * * [simplify]: iters left: 5 (32 enodes) 56.078 * * [simplify]: iters left: 4 (41 enodes) 56.089 * * [simplify]: Extracting #0: cost 1 inf + 0 56.089 * * [simplify]: Extracting #1: cost 4 inf + 0 56.090 * * [simplify]: Extracting #2: cost 8 inf + 0 56.090 * * [simplify]: Extracting #3: cost 9 inf + 163 56.090 * * [simplify]: Extracting #4: cost 13 inf + 164 56.090 * * [simplify]: Extracting #5: cost 10 inf + 249 56.090 * * [simplify]: Extracting #6: cost 3 inf + 986 56.091 * * [simplify]: Extracting #7: cost 0 inf + 1474 56.091 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)) 56.091 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 56.092 * * * * [progress]: [ 100 / 226 ] simplifiying candidate # 56.092 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) (sqrt 2)) 56.092 * * [simplify]: iters left: 6 (8 enodes) 56.096 * * [simplify]: iters left: 5 (32 enodes) 56.104 * * [simplify]: iters left: 4 (41 enodes) 56.110 * * [simplify]: Extracting #0: cost 1 inf + 0 56.110 * * [simplify]: Extracting #1: cost 4 inf + 0 56.110 * * [simplify]: Extracting #2: cost 8 inf + 0 56.110 * * [simplify]: Extracting #3: cost 9 inf + 83 56.111 * * [simplify]: Extracting #4: cost 13 inf + 84 56.111 * * [simplify]: Extracting #5: cost 10 inf + 169 56.111 * * [simplify]: Extracting #6: cost 3 inf + 866 56.111 * * [simplify]: Extracting #7: cost 0 inf + 1314 56.111 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) (sqrt 2)) 56.111 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (sqrt 2))) (/ (cbrt (/ (- 1 k) 2)) (sqrt 2)))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 56.111 * * * * [progress]: [ 101 / 226 ] simplifiying candidate # 56.112 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) 2) 56.112 * * [simplify]: iters left: 6 (7 enodes) 56.114 * * [simplify]: iters left: 5 (29 enodes) 56.119 * * [simplify]: iters left: 4 (38 enodes) 56.125 * * [simplify]: Extracting #0: cost 1 inf + 0 56.125 * * [simplify]: Extracting #1: cost 4 inf + 0 56.125 * * [simplify]: Extracting #2: cost 5 inf + 1 56.125 * * [simplify]: Extracting #3: cost 9 inf + 1 56.125 * * [simplify]: Extracting #4: cost 13 inf + 2 56.125 * * [simplify]: Extracting #5: cost 12 inf + 4 56.125 * * [simplify]: Extracting #6: cost 2 inf + 746 56.126 * * [simplify]: Extracting #7: cost 0 inf + 1152 56.126 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) 2) 56.126 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) 1)) (/ (cbrt (/ (- 1 k) 2)) 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 56.126 * * * * [progress]: [ 102 / 226 ] simplifiying candidate # 56.127 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) (cbrt 2)) 56.127 * * [simplify]: iters left: 6 (8 enodes) 56.132 * * [simplify]: iters left: 5 (32 enodes) 56.141 * * [simplify]: iters left: 4 (41 enodes) 56.147 * * [simplify]: Extracting #0: cost 1 inf + 0 56.147 * * [simplify]: Extracting #1: cost 4 inf + 0 56.147 * * [simplify]: Extracting #2: cost 8 inf + 0 56.147 * * [simplify]: Extracting #3: cost 9 inf + 163 56.147 * * [simplify]: Extracting #4: cost 13 inf + 164 56.147 * * [simplify]: Extracting #5: cost 10 inf + 249 56.147 * * [simplify]: Extracting #6: cost 3 inf + 906 56.147 * * [simplify]: Extracting #7: cost 0 inf + 1314 56.148 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) (cbrt 2)) 56.148 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (sqrt (/ (- 1 k) 2)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (/ (- 1 k) 2)) (cbrt 2)))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 56.148 * * * * [progress]: [ 103 / 226 ] simplifiying candidate # 56.148 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)) 56.148 * * [simplify]: iters left: 6 (8 enodes) 56.151 * * [simplify]: iters left: 5 (32 enodes) 56.156 * * [simplify]: iters left: 4 (41 enodes) 56.162 * * [simplify]: Extracting #0: cost 1 inf + 0 56.162 * * [simplify]: Extracting #1: cost 4 inf + 0 56.162 * * [simplify]: Extracting #2: cost 8 inf + 0 56.162 * * [simplify]: Extracting #3: cost 9 inf + 83 56.162 * * [simplify]: Extracting #4: cost 13 inf + 84 56.162 * * [simplify]: Extracting #5: cost 10 inf + 169 56.162 * * [simplify]: Extracting #6: cost 3 inf + 786 56.163 * * [simplify]: Extracting #7: cost 0 inf + 1154 56.163 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)) 56.163 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 56.163 * * * * [progress]: [ 104 / 226 ] simplifiying candidate # 56.163 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) 2) 56.163 * * [simplify]: iters left: 6 (7 enodes) 56.165 * * [simplify]: iters left: 5 (29 enodes) 56.172 * * [simplify]: iters left: 4 (38 enodes) 56.183 * * [simplify]: Extracting #0: cost 1 inf + 0 56.183 * * [simplify]: Extracting #1: cost 4 inf + 0 56.183 * * [simplify]: Extracting #2: cost 5 inf + 1 56.183 * * [simplify]: Extracting #3: cost 9 inf + 1 56.183 * * [simplify]: Extracting #4: cost 13 inf + 2 56.184 * * [simplify]: Extracting #5: cost 12 inf + 4 56.184 * * [simplify]: Extracting #6: cost 2 inf + 666 56.184 * * [simplify]: Extracting #7: cost 0 inf + 992 56.185 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) 2) 56.185 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (sqrt (/ (- 1 k) 2)) 1)) (/ (sqrt (/ (- 1 k) 2)) 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 56.185 * * * * [progress]: [ 105 / 226 ] simplifiying candidate # 56.185 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) (cbrt 2)) 56.185 * * [simplify]: iters left: 6 (8 enodes) 56.189 * * [simplify]: iters left: 5 (30 enodes) 56.194 * * [simplify]: iters left: 4 (37 enodes) 56.202 * * [simplify]: Extracting #0: cost 1 inf + 0 56.202 * * [simplify]: Extracting #1: cost 6 inf + 0 56.202 * * [simplify]: Extracting #2: cost 12 inf + 0 56.202 * * [simplify]: Extracting #3: cost 11 inf + 405 56.202 * * [simplify]: Extracting #4: cost 10 inf + 407 56.202 * * [simplify]: Extracting #5: cost 4 inf + 1220 56.202 * * [simplify]: Extracting #6: cost 0 inf + 1869 56.203 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 56.203 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (* (cbrt 2) (cbrt 2))))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 56.203 * * * * [progress]: [ 106 / 226 ] simplifiying candidate # 56.203 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2)) 56.203 * * [simplify]: iters left: 6 (9 enodes) 56.206 * * [simplify]: iters left: 5 (33 enodes) 56.216 * * [simplify]: iters left: 4 (43 enodes) 56.228 * * [simplify]: iters left: 3 (45 enodes) 56.235 * * [simplify]: Extracting #0: cost 1 inf + 0 56.235 * * [simplify]: Extracting #1: cost 8 inf + 0 56.235 * * [simplify]: Extracting #2: cost 16 inf + 0 56.235 * * [simplify]: Extracting #3: cost 16 inf + 284 56.235 * * [simplify]: Extracting #4: cost 11 inf + 610 56.235 * * [simplify]: Extracting #5: cost 8 inf + 815 56.236 * * [simplify]: Extracting #6: cost 0 inf + 2517 56.236 * [simplify]: Simplified to (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2)) 56.236 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2)))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 56.236 * * * * [progress]: [ 107 / 226 ] simplifiying candidate # 56.237 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) 2) 56.237 * * [simplify]: iters left: 6 (8 enodes) 56.239 * * [simplify]: iters left: 5 (30 enodes) 56.244 * * [simplify]: iters left: 4 (40 enodes) 56.249 * * [simplify]: iters left: 3 (42 enodes) 56.256 * * [simplify]: Extracting #0: cost 1 inf + 0 56.256 * * [simplify]: Extracting #1: cost 8 inf + 0 56.256 * * [simplify]: Extracting #2: cost 12 inf + 82 56.256 * * [simplify]: Extracting #3: cost 13 inf + 405 56.257 * * [simplify]: Extracting #4: cost 12 inf + 407 56.257 * * [simplify]: Extracting #5: cost 5 inf + 1383 56.257 * * [simplify]: Extracting #6: cost 0 inf + 2195 56.258 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* 2 (cbrt 2))) 56.258 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) 1)) (/ (cbrt (- 1 k)) (* 2 (cbrt 2))))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 56.258 * * * * [progress]: [ 108 / 226 ] simplifiying candidate # 56.259 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2)) 56.259 * * [simplify]: iters left: 6 (9 enodes) 56.264 * * [simplify]: iters left: 5 (33 enodes) 56.276 * * [simplify]: iters left: 4 (43 enodes) 56.288 * * [simplify]: iters left: 3 (45 enodes) 56.295 * * [simplify]: Extracting #0: cost 1 inf + 0 56.295 * * [simplify]: Extracting #1: cost 8 inf + 0 56.295 * * [simplify]: Extracting #2: cost 16 inf + 0 56.295 * * [simplify]: Extracting #3: cost 16 inf + 284 56.295 * * [simplify]: Extracting #4: cost 11 inf + 610 56.295 * * [simplify]: Extracting #5: cost 8 inf + 815 56.296 * * [simplify]: Extracting #6: cost 0 inf + 2517 56.296 * [simplify]: Simplified to (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2)) 56.296 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2)))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 56.296 * * * * [progress]: [ 109 / 226 ] simplifiying candidate # 56.297 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) (sqrt 2)) 56.297 * * [simplify]: iters left: 6 (8 enodes) 56.299 * * [simplify]: iters left: 5 (30 enodes) 56.304 * * [simplify]: iters left: 4 (35 enodes) 56.311 * * [simplify]: Extracting #0: cost 1 inf + 0 56.312 * * [simplify]: Extracting #1: cost 6 inf + 0 56.312 * * [simplify]: Extracting #2: cost 8 inf + 42 56.312 * * [simplify]: Extracting #3: cost 11 inf + 83 56.312 * * [simplify]: Extracting #4: cost 10 inf + 85 56.312 * * [simplify]: Extracting #5: cost 4 inf + 658 56.312 * * [simplify]: Extracting #6: cost 0 inf + 1227 56.312 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 56.312 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (sqrt 2))) (/ (cbrt (- 1 k)) 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 56.312 * * * * [progress]: [ 110 / 226 ] simplifiying candidate # 56.313 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) 2) 56.313 * * [simplify]: iters left: 6 (8 enodes) 56.315 * * [simplify]: iters left: 5 (30 enodes) 56.321 * * [simplify]: iters left: 4 (40 enodes) 56.332 * * [simplify]: iters left: 3 (42 enodes) 56.344 * * [simplify]: Extracting #0: cost 1 inf + 0 56.344 * * [simplify]: Extracting #1: cost 8 inf + 0 56.344 * * [simplify]: Extracting #2: cost 12 inf + 42 56.344 * * [simplify]: Extracting #3: cost 13 inf + 245 56.344 * * [simplify]: Extracting #4: cost 12 inf + 247 56.345 * * [simplify]: Extracting #5: cost 5 inf + 1143 56.345 * * [simplify]: Extracting #6: cost 0 inf + 1875 56.346 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* 2 (sqrt 2))) 56.346 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) 1)) (/ (cbrt (- 1 k)) (* 2 (sqrt 2))))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 56.346 * * * * [progress]: [ 111 / 226 ] simplifiying candidate # 56.346 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) (cbrt 2)) 56.347 * * [simplify]: iters left: 6 (8 enodes) 56.351 * * [simplify]: iters left: 5 (30 enodes) 56.361 * * [simplify]: iters left: 4 (40 enodes) 56.372 * * [simplify]: iters left: 3 (42 enodes) 56.378 * * [simplify]: Extracting #0: cost 1 inf + 0 56.378 * * [simplify]: Extracting #1: cost 8 inf + 0 56.378 * * [simplify]: Extracting #2: cost 11 inf + 203 56.378 * * [simplify]: Extracting #3: cost 13 inf + 405 56.378 * * [simplify]: Extracting #4: cost 12 inf + 407 56.378 * * [simplify]: Extracting #5: cost 3 inf + 1789 56.379 * * [simplify]: Extracting #6: cost 0 inf + 2195 56.379 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (cbrt 2) 2)) 56.379 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (* (cbrt 2) 2)))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 56.379 * * * * [progress]: [ 112 / 226 ] simplifiying candidate # 56.379 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) (sqrt 2)) 56.379 * * [simplify]: iters left: 6 (8 enodes) 56.382 * * [simplify]: iters left: 5 (30 enodes) 56.386 * * [simplify]: iters left: 4 (40 enodes) 56.392 * * [simplify]: iters left: 3 (42 enodes) 56.398 * * [simplify]: Extracting #0: cost 1 inf + 0 56.398 * * [simplify]: Extracting #1: cost 8 inf + 0 56.398 * * [simplify]: Extracting #2: cost 11 inf + 123 56.398 * * [simplify]: Extracting #3: cost 13 inf + 245 56.399 * * [simplify]: Extracting #4: cost 12 inf + 247 56.399 * * [simplify]: Extracting #5: cost 3 inf + 1509 56.399 * * [simplify]: Extracting #6: cost 0 inf + 1875 56.399 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (sqrt 2) 2)) 56.399 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (sqrt 2))) (/ (cbrt (- 1 k)) (* (sqrt 2) 2)))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 56.399 * * * * [progress]: [ 113 / 226 ] simplifiying candidate # 56.400 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) 2) 56.400 * * [simplify]: iters left: 6 (7 enodes) 56.402 * * [simplify]: iters left: 5 (28 enodes) 56.410 * * [simplify]: iters left: 4 (35 enodes) 56.420 * * [simplify]: Extracting #0: cost 1 inf + 0 56.420 * * [simplify]: Extracting #1: cost 6 inf + 0 56.420 * * [simplify]: Extracting #2: cost 7 inf + 2 56.420 * * [simplify]: Extracting #3: cost 11 inf + 2 56.420 * * [simplify]: Extracting #4: cost 9 inf + 45 56.421 * * [simplify]: Extracting #5: cost 4 inf + 455 56.421 * * [simplify]: Extracting #6: cost 0 inf + 1066 56.424 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 4) 56.424 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 56.424 * * * * [progress]: [ 114 / 226 ] simplifiying candidate # 56.425 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2)) 56.425 * * [simplify]: iters left: 6 (8 enodes) 56.430 * * [simplify]: iters left: 5 (30 enodes) 56.439 * * [simplify]: iters left: 4 (37 enodes) 56.450 * * [simplify]: Extracting #0: cost 1 inf + 0 56.450 * * [simplify]: Extracting #1: cost 6 inf + 0 56.450 * * [simplify]: Extracting #2: cost 12 inf + 0 56.451 * * [simplify]: Extracting #3: cost 11 inf + 405 56.451 * * [simplify]: Extracting #4: cost 10 inf + 407 56.451 * * [simplify]: Extracting #5: cost 4 inf + 1100 56.451 * * [simplify]: Extracting #6: cost 0 inf + 1629 56.452 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 56.452 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 56.452 * * * * [progress]: [ 115 / 226 ] simplifiying candidate # 56.452 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2)) 56.452 * * [simplify]: iters left: 6 (9 enodes) 56.455 * * [simplify]: iters left: 5 (33 enodes) 56.460 * * [simplify]: iters left: 4 (43 enodes) 56.467 * * [simplify]: iters left: 3 (45 enodes) 56.473 * * [simplify]: Extracting #0: cost 1 inf + 0 56.473 * * [simplify]: Extracting #1: cost 8 inf + 0 56.473 * * [simplify]: Extracting #2: cost 16 inf + 0 56.473 * * [simplify]: Extracting #3: cost 16 inf + 284 56.474 * * [simplify]: Extracting #4: cost 11 inf + 610 56.474 * * [simplify]: Extracting #5: cost 8 inf + 775 56.474 * * [simplify]: Extracting #6: cost 0 inf + 2197 56.474 * [simplify]: Simplified to (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2)) 56.474 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2)))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 56.475 * * * * [progress]: [ 116 / 226 ] simplifiying candidate # 56.475 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) 2) 56.475 * * [simplify]: iters left: 6 (8 enodes) 56.479 * * [simplify]: iters left: 5 (30 enodes) 56.489 * * [simplify]: iters left: 4 (40 enodes) 56.500 * * [simplify]: iters left: 3 (42 enodes) 56.512 * * [simplify]: Extracting #0: cost 1 inf + 0 56.513 * * [simplify]: Extracting #1: cost 8 inf + 0 56.513 * * [simplify]: Extracting #2: cost 12 inf + 82 56.513 * * [simplify]: Extracting #3: cost 13 inf + 405 56.513 * * [simplify]: Extracting #4: cost 12 inf + 407 56.513 * * [simplify]: Extracting #5: cost 5 inf + 1223 56.514 * * [simplify]: Extracting #6: cost 0 inf + 1875 56.515 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* 2 (cbrt 2))) 56.515 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (sqrt (- 1 k)) (* 2 (cbrt 2))))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 56.515 * * * * [progress]: [ 117 / 226 ] simplifiying candidate # 56.515 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2)) 56.516 * * [simplify]: iters left: 6 (9 enodes) 56.521 * * [simplify]: iters left: 5 (33 enodes) 56.532 * * [simplify]: iters left: 4 (43 enodes) 56.538 * * [simplify]: iters left: 3 (45 enodes) 56.548 * * [simplify]: Extracting #0: cost 1 inf + 0 56.548 * * [simplify]: Extracting #1: cost 8 inf + 0 56.548 * * [simplify]: Extracting #2: cost 16 inf + 0 56.548 * * [simplify]: Extracting #3: cost 16 inf + 284 56.548 * * [simplify]: Extracting #4: cost 11 inf + 610 56.548 * * [simplify]: Extracting #5: cost 8 inf + 775 56.549 * * [simplify]: Extracting #6: cost 0 inf + 2197 56.549 * [simplify]: Simplified to (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2)) 56.549 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2)))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 56.549 * * * * [progress]: [ 118 / 226 ] simplifiying candidate # 56.549 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2)) 56.549 * * [simplify]: iters left: 6 (8 enodes) 56.552 * * [simplify]: iters left: 5 (30 enodes) 56.557 * * [simplify]: iters left: 4 (35 enodes) 56.562 * * [simplify]: Extracting #0: cost 1 inf + 0 56.562 * * [simplify]: Extracting #1: cost 6 inf + 0 56.562 * * [simplify]: Extracting #2: cost 8 inf + 42 56.562 * * [simplify]: Extracting #3: cost 11 inf + 83 56.562 * * [simplify]: Extracting #4: cost 10 inf + 85 56.562 * * [simplify]: Extracting #5: cost 4 inf + 538 56.562 * * [simplify]: Extracting #6: cost 0 inf + 987 56.562 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 56.563 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))) (/ (sqrt (- 1 k)) 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 56.563 * * * * [progress]: [ 119 / 226 ] simplifiying candidate # 56.563 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) 2) 56.563 * * [simplify]: iters left: 6 (8 enodes) 56.565 * * [simplify]: iters left: 5 (30 enodes) 56.573 * * [simplify]: iters left: 4 (40 enodes) 56.585 * * [simplify]: iters left: 3 (42 enodes) 56.596 * * [simplify]: Extracting #0: cost 1 inf + 0 56.597 * * [simplify]: Extracting #1: cost 8 inf + 0 56.597 * * [simplify]: Extracting #2: cost 12 inf + 42 56.597 * * [simplify]: Extracting #3: cost 13 inf + 245 56.597 * * [simplify]: Extracting #4: cost 12 inf + 247 56.597 * * [simplify]: Extracting #5: cost 5 inf + 983 56.598 * * [simplify]: Extracting #6: cost 0 inf + 1555 56.598 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* 2 (sqrt 2))) 56.598 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ (sqrt (- 1 k)) (sqrt 2)) 1)) (/ (sqrt (- 1 k)) (* 2 (sqrt 2))))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 56.599 * * * * [progress]: [ 120 / 226 ] simplifiying candidate # 56.599 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) (cbrt 2)) 56.599 * * [simplify]: iters left: 6 (8 enodes) 56.604 * * [simplify]: iters left: 5 (30 enodes) 56.613 * * [simplify]: iters left: 4 (40 enodes) 56.625 * * [simplify]: iters left: 3 (42 enodes) 56.638 * * [simplify]: Extracting #0: cost 1 inf + 0 56.638 * * [simplify]: Extracting #1: cost 8 inf + 0 56.638 * * [simplify]: Extracting #2: cost 11 inf + 203 56.638 * * [simplify]: Extracting #3: cost 13 inf + 405 56.639 * * [simplify]: Extracting #4: cost 12 inf + 407 56.639 * * [simplify]: Extracting #5: cost 3 inf + 1549 56.639 * * [simplify]: Extracting #6: cost 0 inf + 1875 56.640 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (cbrt 2) 2)) 56.640 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ (sqrt (- 1 k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (* (cbrt 2) 2)))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 56.640 * * * * [progress]: [ 121 / 226 ] simplifiying candidate # 56.640 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) (sqrt 2)) 56.640 * * [simplify]: iters left: 6 (8 enodes) 56.643 * * [simplify]: iters left: 5 (30 enodes) 56.647 * * [simplify]: iters left: 4 (40 enodes) 56.654 * * [simplify]: iters left: 3 (42 enodes) 56.660 * * [simplify]: Extracting #0: cost 1 inf + 0 56.660 * * [simplify]: Extracting #1: cost 8 inf + 0 56.660 * * [simplify]: Extracting #2: cost 11 inf + 123 56.660 * * [simplify]: Extracting #3: cost 13 inf + 245 56.660 * * [simplify]: Extracting #4: cost 12 inf + 247 56.660 * * [simplify]: Extracting #5: cost 3 inf + 1269 56.661 * * [simplify]: Extracting #6: cost 0 inf + 1555 56.663 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (sqrt 2) 2)) 56.663 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ (sqrt (- 1 k)) 1) (sqrt 2))) (/ (sqrt (- 1 k)) (* (sqrt 2) 2)))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 56.663 * * * * [progress]: [ 122 / 226 ] simplifiying candidate # 56.664 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) 2) 56.664 * * [simplify]: iters left: 6 (7 enodes) 56.667 * * [simplify]: iters left: 5 (28 enodes) 56.671 * * [simplify]: iters left: 4 (35 enodes) 56.677 * * [simplify]: Extracting #0: cost 1 inf + 0 56.677 * * [simplify]: Extracting #1: cost 6 inf + 0 56.677 * * [simplify]: Extracting #2: cost 7 inf + 2 56.677 * * [simplify]: Extracting #3: cost 11 inf + 2 56.677 * * [simplify]: Extracting #4: cost 9 inf + 45 56.677 * * [simplify]: Extracting #5: cost 4 inf + 375 56.677 * * [simplify]: Extracting #6: cost 0 inf + 826 56.677 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 4) 56.677 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ (sqrt (- 1 k)) 1) 1)) (/ (sqrt (- 1 k)) 4))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 56.678 * * * * [progress]: [ 123 / 226 ] simplifiying candidate # 56.678 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (cbrt 2)) 56.678 * * [simplify]: iters left: 6 (7 enodes) 56.680 * * [simplify]: iters left: 5 (30 enodes) 56.686 * * [simplify]: iters left: 4 (49 enodes) 56.693 * * [simplify]: iters left: 3 (59 enodes) 56.702 * * [simplify]: iters left: 2 (64 enodes) 56.710 * * [simplify]: Extracting #0: cost 1 inf + 0 56.710 * * [simplify]: Extracting #1: cost 9 inf + 0 56.710 * * [simplify]: Extracting #2: cost 23 inf + 0 56.710 * * [simplify]: Extracting #3: cost 24 inf + 3 56.711 * * [simplify]: Extracting #4: cost 15 inf + 980 56.711 * * [simplify]: Extracting #5: cost 1 inf + 3007 56.711 * * [simplify]: Extracting #6: cost 0 inf + 3169 56.712 * [simplify]: Simplified to (/ (- 1 k) (* (cbrt 2) (cbrt 2))) 56.712 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* (cbrt 2) (cbrt 2))))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 56.712 * * * * [progress]: [ 124 / 226 ] simplifiying candidate # 56.712 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 56.712 * * [simplify]: iters left: 6 (8 enodes) 56.715 * * [simplify]: iters left: 5 (33 enodes) 56.721 * * [simplify]: iters left: 4 (55 enodes) 56.730 * * [simplify]: iters left: 3 (72 enodes) 56.741 * * [simplify]: iters left: 2 (84 enodes) 56.762 * * [simplify]: iters left: 1 (88 enodes) 56.785 * * [simplify]: Extracting #0: cost 1 inf + 0 56.785 * * [simplify]: Extracting #1: cost 11 inf + 0 56.785 * * [simplify]: Extracting #2: cost 30 inf + 0 56.785 * * [simplify]: Extracting #3: cost 33 inf + 84 56.786 * * [simplify]: Extracting #4: cost 12 inf + 2402 56.787 * * [simplify]: Extracting #5: cost 0 inf + 4469 56.788 * [simplify]: Simplified to (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 56.789 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 56.789 * * * * [progress]: [ 125 / 226 ] simplifiying candidate # 56.789 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) 2) 56.789 * * [simplify]: iters left: 6 (7 enodes) 56.794 * * [simplify]: iters left: 5 (30 enodes) 56.804 * * [simplify]: iters left: 4 (52 enodes) 56.820 * * [simplify]: iters left: 3 (70 enodes) 56.840 * * [simplify]: iters left: 2 (81 enodes) 56.861 * * [simplify]: iters left: 1 (84 enodes) 56.882 * * [simplify]: Extracting #0: cost 1 inf + 0 56.883 * * [simplify]: Extracting #1: cost 11 inf + 0 56.883 * * [simplify]: Extracting #2: cost 25 inf + 203 56.883 * * [simplify]: Extracting #3: cost 25 inf + 530 56.884 * * [simplify]: Extracting #4: cost 4 inf + 2936 56.885 * * [simplify]: Extracting #5: cost 0 inf + 3504 56.886 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (cbrt 2)) 56.886 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) 2) (cbrt 2)))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 56.886 * * * * [progress]: [ 126 / 226 ] simplifiying candidate # 56.887 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 56.887 * * [simplify]: iters left: 6 (8 enodes) 56.894 * * [simplify]: iters left: 5 (33 enodes) 56.906 * * [simplify]: iters left: 4 (55 enodes) 56.923 * * [simplify]: iters left: 3 (72 enodes) 56.944 * * [simplify]: iters left: 2 (84 enodes) 56.964 * * [simplify]: iters left: 1 (88 enodes) 56.975 * * [simplify]: Extracting #0: cost 1 inf + 0 56.975 * * [simplify]: Extracting #1: cost 11 inf + 0 56.976 * * [simplify]: Extracting #2: cost 30 inf + 0 56.976 * * [simplify]: Extracting #3: cost 33 inf + 44 56.976 * * [simplify]: Extracting #4: cost 12 inf + 2362 56.977 * * [simplify]: Extracting #5: cost 0 inf + 4469 56.977 * [simplify]: Simplified to (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 56.977 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 56.978 * * * * [progress]: [ 127 / 226 ] simplifiying candidate # 56.978 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (sqrt 2)) 56.978 * * [simplify]: iters left: 6 (7 enodes) 56.980 * * [simplify]: iters left: 5 (30 enodes) 56.986 * * [simplify]: iters left: 4 (48 enodes) 56.993 * * [simplify]: iters left: 3 (56 enodes) 57.006 * * [simplify]: Extracting #0: cost 1 inf + 0 57.007 * * [simplify]: Extracting #1: cost 8 inf + 0 57.007 * * [simplify]: Extracting #2: cost 15 inf + 43 57.007 * * [simplify]: Extracting #3: cost 16 inf + 86 57.007 * * [simplify]: Extracting #4: cost 5 inf + 911 57.008 * * [simplify]: Extracting #5: cost 1 inf + 1198 57.008 * * [simplify]: Extracting #6: cost 0 inf + 1320 57.009 * [simplify]: Simplified to (/ (- 1 k) 2) 57.009 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 57.009 * * * * [progress]: [ 128 / 226 ] simplifiying candidate # 57.009 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) 2) 57.010 * * [simplify]: iters left: 6 (7 enodes) 57.017 * * [simplify]: iters left: 5 (30 enodes) 57.028 * * [simplify]: iters left: 4 (52 enodes) 57.044 * * [simplify]: iters left: 3 (70 enodes) 57.064 * * [simplify]: iters left: 2 (81 enodes) 57.084 * * [simplify]: iters left: 1 (84 enodes) 57.103 * * [simplify]: Extracting #0: cost 1 inf + 0 57.103 * * [simplify]: Extracting #1: cost 11 inf + 0 57.103 * * [simplify]: Extracting #2: cost 25 inf + 123 57.103 * * [simplify]: Extracting #3: cost 25 inf + 330 57.104 * * [simplify]: Extracting #4: cost 4 inf + 2256 57.105 * * [simplify]: Extracting #5: cost 0 inf + 2704 57.106 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (sqrt 2)) 57.106 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) 2) (sqrt 2)))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 57.107 * * * * [progress]: [ 129 / 226 ] simplifiying candidate # 57.107 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2)) 57.107 * * [simplify]: iters left: 6 (7 enodes) 57.111 * * [simplify]: iters left: 5 (31 enodes) 57.117 * * [simplify]: iters left: 4 (51 enodes) 57.125 * * [simplify]: iters left: 3 (64 enodes) 57.134 * * [simplify]: iters left: 2 (77 enodes) 57.147 * * [simplify]: iters left: 1 (84 enodes) 57.158 * * [simplify]: Extracting #0: cost 1 inf + 0 57.158 * * [simplify]: Extracting #1: cost 11 inf + 0 57.158 * * [simplify]: Extracting #2: cost 26 inf + 82 57.158 * * [simplify]: Extracting #3: cost 24 inf + 692 57.159 * * [simplify]: Extracting #4: cost 3 inf + 3057 57.159 * * [simplify]: Extracting #5: cost 0 inf + 3504 57.160 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2))) 57.160 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* 2 (cbrt 2))))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 57.160 * * * * [progress]: [ 130 / 226 ] simplifiying candidate # 57.160 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2)) 57.160 * * [simplify]: iters left: 6 (7 enodes) 57.163 * * [simplify]: iters left: 5 (31 enodes) 57.169 * * [simplify]: iters left: 4 (51 enodes) 57.182 * * [simplify]: iters left: 3 (64 enodes) 57.200 * * [simplify]: iters left: 2 (77 enodes) 57.220 * * [simplify]: iters left: 1 (84 enodes) 57.233 * * [simplify]: Extracting #0: cost 1 inf + 0 57.233 * * [simplify]: Extracting #1: cost 11 inf + 0 57.233 * * [simplify]: Extracting #2: cost 26 inf + 42 57.233 * * [simplify]: Extracting #3: cost 24 inf + 452 57.234 * * [simplify]: Extracting #4: cost 3 inf + 2337 57.235 * * [simplify]: Extracting #5: cost 0 inf + 2704 57.235 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2))) 57.235 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ 1 1) (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2))))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 57.235 * * * * [progress]: [ 131 / 226 ] simplifiying candidate # 57.235 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2) 57.236 * * [simplify]: iters left: 6 (6 enodes) 57.238 * * [simplify]: iters left: 5 (29 enodes) 57.246 * * [simplify]: iters left: 4 (44 enodes) 57.253 * * [simplify]: iters left: 3 (50 enodes) 57.267 * * [simplify]: iters left: 2 (57 enodes) 57.283 * * [simplify]: Extracting #0: cost 1 inf + 0 57.283 * * [simplify]: Extracting #1: cost 9 inf + 0 57.283 * * [simplify]: Extracting #2: cost 15 inf + 3 57.283 * * [simplify]: Extracting #3: cost 11 inf + 131 57.284 * * [simplify]: Extracting #4: cost 2 inf + 711 57.284 * * [simplify]: Extracting #5: cost 0 inf + 836 57.284 * [simplify]: Simplified to (- 1/4 (/ k 4)) 57.285 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ 1 1) 1)) (- 1/4 (/ k 4)))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 57.285 * * * * [progress]: [ 132 / 226 ] simplifiying candidate # 57.285 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (cbrt 2)) 57.285 * * [simplify]: iters left: 6 (9 enodes) 57.291 * * [simplify]: iters left: 5 (36 enodes) 57.304 * * [simplify]: iters left: 4 (58 enodes) 57.321 * * [simplify]: iters left: 3 (71 enodes) 57.332 * * [simplify]: iters left: 2 (79 enodes) 57.342 * * [simplify]: iters left: 1 (80 enodes) 57.352 * * [simplify]: Extracting #0: cost 1 inf + 0 57.352 * * [simplify]: Extracting #1: cost 9 inf + 0 57.352 * * [simplify]: Extracting #2: cost 24 inf + 0 57.352 * * [simplify]: Extracting #3: cost 29 inf + 2 57.352 * * [simplify]: Extracting #4: cost 10 inf + 2233 57.353 * * [simplify]: Extracting #5: cost 1 inf + 4013 57.354 * * [simplify]: Extracting #6: cost 0 inf + 4135 57.354 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 57.354 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2))))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 57.354 * * * * [progress]: [ 133 / 226 ] simplifiying candidate # 57.355 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (sqrt 2)) 57.355 * * [simplify]: iters left: 6 (10 enodes) 57.358 * * [simplify]: iters left: 5 (39 enodes) 57.367 * * [simplify]: iters left: 4 (64 enodes) 57.377 * * [simplify]: iters left: 3 (86 enodes) 57.389 * * [simplify]: iters left: 2 (99 enodes) 57.402 * * [simplify]: iters left: 1 (104 enodes) 57.423 * * [simplify]: Extracting #0: cost 1 inf + 0 57.423 * * [simplify]: Extracting #1: cost 11 inf + 0 57.423 * * [simplify]: Extracting #2: cost 31 inf + 0 57.423 * * [simplify]: Extracting #3: cost 39 inf + 2 57.424 * * [simplify]: Extracting #4: cost 22 inf + 1871 57.425 * * [simplify]: Extracting #5: cost 4 inf + 4865 57.427 * * [simplify]: Extracting #6: cost 0 inf + 5675 57.429 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2))) 57.429 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2))))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 57.429 * * * * [progress]: [ 134 / 226 ] simplifiying candidate # 57.430 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2) 57.430 * * [simplify]: iters left: 6 (9 enodes) 57.435 * * [simplify]: iters left: 5 (36 enodes) 57.447 * * [simplify]: iters left: 4 (61 enodes) 57.465 * * [simplify]: iters left: 3 (84 enodes) 57.492 * * [simplify]: iters left: 2 (96 enodes) 57.508 * * [simplify]: iters left: 1 (100 enodes) 57.520 * * [simplify]: Extracting #0: cost 1 inf + 0 57.520 * * [simplify]: Extracting #1: cost 11 inf + 0 57.520 * * [simplify]: Extracting #2: cost 27 inf + 82 57.520 * * [simplify]: Extracting #3: cost 29 inf + 651 57.521 * * [simplify]: Extracting #4: cost 12 inf + 2763 57.521 * * [simplify]: Extracting #5: cost 1 inf + 4587 57.522 * * [simplify]: Extracting #6: cost 0 inf + 4710 57.523 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (cbrt 2))) 57.523 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (- 1 (sqrt k)) (* 2 (cbrt 2))))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 57.523 * * * * [progress]: [ 135 / 226 ] simplifiying candidate # 57.523 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (cbrt 2)) 57.523 * * [simplify]: iters left: 6 (10 enodes) 57.527 * * [simplify]: iters left: 5 (39 enodes) 57.534 * * [simplify]: iters left: 4 (64 enodes) 57.546 * * [simplify]: iters left: 3 (86 enodes) 57.559 * * [simplify]: iters left: 2 (99 enodes) 57.574 * * [simplify]: iters left: 1 (104 enodes) 57.587 * * [simplify]: Extracting #0: cost 1 inf + 0 57.587 * * [simplify]: Extracting #1: cost 11 inf + 0 57.587 * * [simplify]: Extracting #2: cost 31 inf + 0 57.587 * * [simplify]: Extracting #3: cost 39 inf + 2 57.587 * * [simplify]: Extracting #4: cost 22 inf + 1831 57.588 * * [simplify]: Extracting #5: cost 4 inf + 4785 57.589 * * [simplify]: Extracting #6: cost 0 inf + 5595 57.590 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2))) 57.590 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2))))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 57.590 * * * * [progress]: [ 136 / 226 ] simplifiying candidate # 57.590 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2)) 57.590 * * [simplify]: iters left: 6 (9 enodes) 57.593 * * [simplify]: iters left: 5 (36 enodes) 57.600 * * [simplify]: iters left: 4 (57 enodes) 57.609 * * [simplify]: iters left: 3 (73 enodes) 57.619 * * [simplify]: iters left: 2 (80 enodes) 57.628 * * [simplify]: iters left: 1 (81 enodes) 57.639 * * [simplify]: Extracting #0: cost 1 inf + 0 57.640 * * [simplify]: Extracting #1: cost 9 inf + 0 57.640 * * [simplify]: Extracting #2: cost 18 inf + 43 57.640 * * [simplify]: Extracting #3: cost 23 inf + 85 57.640 * * [simplify]: Extracting #4: cost 9 inf + 1271 57.640 * * [simplify]: Extracting #5: cost 0 inf + 2370 57.641 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 57.641 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (- 1 (sqrt k)) 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 57.641 * * * * [progress]: [ 137 / 226 ] simplifiying candidate # 57.641 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2) 57.641 * * [simplify]: iters left: 6 (9 enodes) 57.644 * * [simplify]: iters left: 5 (36 enodes) 57.653 * * [simplify]: iters left: 4 (61 enodes) 57.662 * * [simplify]: iters left: 3 (84 enodes) 57.674 * * [simplify]: iters left: 2 (96 enodes) 57.691 * * [simplify]: iters left: 1 (100 enodes) 57.703 * * [simplify]: Extracting #0: cost 1 inf + 0 57.704 * * [simplify]: Extracting #1: cost 11 inf + 0 57.704 * * [simplify]: Extracting #2: cost 27 inf + 42 57.704 * * [simplify]: Extracting #3: cost 29 inf + 411 57.704 * * [simplify]: Extracting #4: cost 12 inf + 2163 57.705 * * [simplify]: Extracting #5: cost 1 inf + 3707 57.706 * * [simplify]: Extracting #6: cost 0 inf + 3830 57.706 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (sqrt 2))) 57.706 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) 1)) (/ (- 1 (sqrt k)) (* 2 (sqrt 2))))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 57.707 * * * * [progress]: [ 138 / 226 ] simplifiying candidate # 57.707 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) (cbrt 2)) 57.707 * * [simplify]: iters left: 6 (9 enodes) 57.710 * * [simplify]: iters left: 5 (36 enodes) 57.717 * * [simplify]: iters left: 4 (62 enodes) 57.735 * * [simplify]: iters left: 3 (78 enodes) 57.760 * * [simplify]: iters left: 2 (90 enodes) 57.774 * * [simplify]: iters left: 1 (94 enodes) 57.786 * * [simplify]: Extracting #0: cost 1 inf + 0 57.786 * * [simplify]: Extracting #1: cost 11 inf + 0 57.786 * * [simplify]: Extracting #2: cost 27 inf + 1 57.786 * * [simplify]: Extracting #3: cost 29 inf + 409 57.786 * * [simplify]: Extracting #4: cost 12 inf + 2359 57.787 * * [simplify]: Extracting #5: cost 2 inf + 4022 57.787 * * [simplify]: Extracting #6: cost 0 inf + 4466 57.788 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) 2)) 57.788 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) 2)))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 57.788 * * * * [progress]: [ 139 / 226 ] simplifiying candidate # 57.789 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) (sqrt 2)) 57.789 * * [simplify]: iters left: 6 (9 enodes) 57.792 * * [simplify]: iters left: 5 (36 enodes) 57.798 * * [simplify]: iters left: 4 (62 enodes) 57.810 * * [simplify]: iters left: 3 (78 enodes) 57.830 * * [simplify]: iters left: 2 (90 enodes) 57.852 * * [simplify]: iters left: 1 (94 enodes) 57.879 * * [simplify]: Extracting #0: cost 1 inf + 0 57.879 * * [simplify]: Extracting #1: cost 11 inf + 0 57.880 * * [simplify]: Extracting #2: cost 27 inf + 1 57.880 * * [simplify]: Extracting #3: cost 29 inf + 249 57.880 * * [simplify]: Extracting #4: cost 12 inf + 1879 57.882 * * [simplify]: Extracting #5: cost 2 inf + 3302 57.883 * * [simplify]: Extracting #6: cost 0 inf + 3666 57.885 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) 2)) 57.885 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (sqrt 2))) (/ (- 1 (sqrt k)) (* (sqrt 2) 2)))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 57.885 * * * * [progress]: [ 140 / 226 ] simplifiying candidate # 57.885 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) 2) 57.885 * * [simplify]: iters left: 6 (8 enodes) 57.891 * * [simplify]: iters left: 5 (34 enodes) 57.904 * * [simplify]: iters left: 4 (58 enodes) 57.919 * * [simplify]: iters left: 3 (65 enodes) 57.935 * * [simplify]: Extracting #0: cost 1 inf + 0 57.935 * * [simplify]: Extracting #1: cost 8 inf + 0 57.935 * * [simplify]: Extracting #2: cost 14 inf + 3 57.936 * * [simplify]: Extracting #3: cost 17 inf + 5 57.936 * * [simplify]: Extracting #4: cost 12 inf + 292 57.936 * * [simplify]: Extracting #5: cost 1 inf + 1355 57.937 * * [simplify]: Extracting #6: cost 0 inf + 1478 57.937 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 4) 57.937 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ (+ (sqrt 1) (sqrt k)) 1) 1)) (/ (- 1 (sqrt k)) 4))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 57.938 * * * * [progress]: [ 141 / 226 ] simplifiying candidate # 57.938 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) (cbrt 2)) 57.938 * * [simplify]: iters left: 6 (8 enodes) 57.943 * * [simplify]: iters left: 5 (33 enodes) 57.954 * * [simplify]: iters left: 4 (52 enodes) 57.965 * * [simplify]: iters left: 3 (62 enodes) 57.974 * * [simplify]: iters left: 2 (67 enodes) 57.984 * * [simplify]: Extracting #0: cost 1 inf + 0 57.984 * * [simplify]: Extracting #1: cost 9 inf + 0 57.984 * * [simplify]: Extracting #2: cost 23 inf + 0 57.984 * * [simplify]: Extracting #3: cost 24 inf + 285 57.984 * * [simplify]: Extracting #4: cost 18 inf + 975 57.985 * * [simplify]: Extracting #5: cost 7 inf + 2516 57.985 * * [simplify]: Extracting #6: cost 0 inf + 3891 57.986 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 57.986 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2))))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 57.986 * * * * [progress]: [ 142 / 226 ] simplifiying candidate # 57.986 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) (sqrt 2)) 57.986 * * [simplify]: iters left: 6 (9 enodes) 57.990 * * [simplify]: iters left: 5 (36 enodes) 58.005 * * [simplify]: iters left: 4 (58 enodes) 58.017 * * [simplify]: iters left: 3 (75 enodes) 58.028 * * [simplify]: iters left: 2 (87 enodes) 58.039 * * [simplify]: iters left: 1 (91 enodes) 58.051 * * [simplify]: Extracting #0: cost 1 inf + 0 58.051 * * [simplify]: Extracting #1: cost 11 inf + 0 58.051 * * [simplify]: Extracting #2: cost 30 inf + 0 58.051 * * [simplify]: Extracting #3: cost 36 inf + 83 58.051 * * [simplify]: Extracting #4: cost 30 inf + 451 58.052 * * [simplify]: Extracting #5: cost 10 inf + 3649 58.053 * * [simplify]: Extracting #6: cost 0 inf + 5431 58.054 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2))) 58.054 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2))))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 58.054 * * * * [progress]: [ 143 / 226 ] simplifiying candidate # 58.054 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) 2) 58.054 * * [simplify]: iters left: 6 (8 enodes) 58.058 * * [simplify]: iters left: 5 (33 enodes) 58.069 * * [simplify]: iters left: 4 (55 enodes) 58.079 * * [simplify]: iters left: 3 (73 enodes) 58.092 * * [simplify]: iters left: 2 (84 enodes) 58.103 * * [simplify]: iters left: 1 (87 enodes) 58.120 * * [simplify]: Extracting #0: cost 1 inf + 0 58.120 * * [simplify]: Extracting #1: cost 11 inf + 0 58.120 * * [simplify]: Extracting #2: cost 25 inf + 203 58.120 * * [simplify]: Extracting #3: cost 29 inf + 407 58.121 * * [simplify]: Extracting #4: cost 24 inf + 896 58.122 * * [simplify]: Extracting #5: cost 9 inf + 2805 58.123 * * [simplify]: Extracting #6: cost 0 inf + 4466 58.125 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (cbrt 2))) 58.125 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (- 1 (sqrt k)) (* 2 (cbrt 2))))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 58.125 * * * * [progress]: [ 144 / 226 ] simplifiying candidate # 58.125 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) (cbrt 2)) 58.125 * * [simplify]: iters left: 6 (9 enodes) 58.131 * * [simplify]: iters left: 5 (36 enodes) 58.143 * * [simplify]: iters left: 4 (58 enodes) 58.154 * * [simplify]: iters left: 3 (75 enodes) 58.164 * * [simplify]: iters left: 2 (87 enodes) 58.176 * * [simplify]: iters left: 1 (91 enodes) 58.196 * * [simplify]: Extracting #0: cost 1 inf + 0 58.196 * * [simplify]: Extracting #1: cost 11 inf + 0 58.196 * * [simplify]: Extracting #2: cost 30 inf + 0 58.197 * * [simplify]: Extracting #3: cost 36 inf + 43 58.197 * * [simplify]: Extracting #4: cost 30 inf + 451 58.197 * * [simplify]: Extracting #5: cost 10 inf + 3769 58.198 * * [simplify]: Extracting #6: cost 0 inf + 5431 58.199 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2))) 58.199 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2))))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 58.199 * * * * [progress]: [ 145 / 226 ] simplifiying candidate # 58.199 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) (sqrt 2)) 58.199 * * [simplify]: iters left: 6 (8 enodes) 58.202 * * [simplify]: iters left: 5 (33 enodes) 58.208 * * [simplify]: iters left: 4 (51 enodes) 58.216 * * [simplify]: iters left: 3 (59 enodes) 58.224 * * [simplify]: Extracting #0: cost 1 inf + 0 58.224 * * [simplify]: Extracting #1: cost 8 inf + 0 58.224 * * [simplify]: Extracting #2: cost 15 inf + 43 58.224 * * [simplify]: Extracting #3: cost 19 inf + 85 58.224 * * [simplify]: Extracting #4: cost 16 inf + 250 58.225 * * [simplify]: Extracting #5: cost 5 inf + 1311 58.226 * * [simplify]: Extracting #6: cost 0 inf + 1962 58.226 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 58.226 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (- 1 (sqrt k)) 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 58.227 * * * * [progress]: [ 146 / 226 ] simplifiying candidate # 58.227 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) 2) 58.227 * * [simplify]: iters left: 6 (8 enodes) 58.229 * * [simplify]: iters left: 5 (33 enodes) 58.235 * * [simplify]: iters left: 4 (55 enodes) 58.243 * * [simplify]: iters left: 3 (73 enodes) 58.253 * * [simplify]: iters left: 2 (84 enodes) 58.273 * * [simplify]: iters left: 1 (87 enodes) 58.299 * * [simplify]: Extracting #0: cost 1 inf + 0 58.299 * * [simplify]: Extracting #1: cost 11 inf + 0 58.299 * * [simplify]: Extracting #2: cost 25 inf + 123 58.300 * * [simplify]: Extracting #3: cost 29 inf + 247 58.300 * * [simplify]: Extracting #4: cost 24 inf + 576 58.301 * * [simplify]: Extracting #5: cost 9 inf + 2245 58.302 * * [simplify]: Extracting #6: cost 0 inf + 3666 58.303 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (sqrt 2))) 58.303 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) 1)) (/ (- 1 (sqrt k)) (* 2 (sqrt 2))))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 58.303 * * * * [progress]: [ 147 / 226 ] simplifiying candidate # 58.304 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) (cbrt 2)) 58.304 * * [simplify]: iters left: 6 (8 enodes) 58.306 * * [simplify]: iters left: 5 (34 enodes) 58.312 * * [simplify]: iters left: 4 (54 enodes) 58.320 * * [simplify]: iters left: 3 (67 enodes) 58.330 * * [simplify]: iters left: 2 (80 enodes) 58.350 * * [simplify]: iters left: 1 (87 enodes) 58.372 * * [simplify]: Extracting #0: cost 1 inf + 0 58.372 * * [simplify]: Extracting #1: cost 11 inf + 0 58.373 * * [simplify]: Extracting #2: cost 25 inf + 203 58.373 * * [simplify]: Extracting #3: cost 26 inf + 773 58.373 * * [simplify]: Extracting #4: cost 24 inf + 896 58.374 * * [simplify]: Extracting #5: cost 8 inf + 3127 58.375 * * [simplify]: Extracting #6: cost 0 inf + 4466 58.377 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) 2)) 58.377 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ (+ 1 (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) 2)))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 58.377 * * * * [progress]: [ 148 / 226 ] simplifiying candidate # 58.378 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) (sqrt 2)) 58.378 * * [simplify]: iters left: 6 (8 enodes) 58.383 * * [simplify]: iters left: 5 (34 enodes) 58.394 * * [simplify]: iters left: 4 (54 enodes) 58.414 * * [simplify]: iters left: 3 (67 enodes) 58.434 * * [simplify]: iters left: 2 (80 enodes) 58.455 * * [simplify]: iters left: 1 (87 enodes) 58.477 * * [simplify]: Extracting #0: cost 1 inf + 0 58.477 * * [simplify]: Extracting #1: cost 11 inf + 0 58.477 * * [simplify]: Extracting #2: cost 25 inf + 123 58.477 * * [simplify]: Extracting #3: cost 26 inf + 493 58.477 * * [simplify]: Extracting #4: cost 24 inf + 576 58.478 * * [simplify]: Extracting #5: cost 8 inf + 2527 58.478 * * [simplify]: Extracting #6: cost 0 inf + 3666 58.479 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) 2)) 58.479 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ (+ 1 (sqrt k)) 1) (sqrt 2))) (/ (- 1 (sqrt k)) (* (sqrt 2) 2)))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 58.479 * * * * [progress]: [ 149 / 226 ] simplifiying candidate # 58.480 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) 2) 58.480 * * [simplify]: iters left: 6 (7 enodes) 58.482 * * [simplify]: iters left: 5 (32 enodes) 58.488 * * [simplify]: iters left: 4 (50 enodes) 58.495 * * [simplify]: iters left: 3 (54 enodes) 58.502 * * [simplify]: Extracting #0: cost 1 inf + 0 58.502 * * [simplify]: Extracting #1: cost 8 inf + 0 58.502 * * [simplify]: Extracting #2: cost 13 inf + 3 58.502 * * [simplify]: Extracting #3: cost 15 inf + 5 58.502 * * [simplify]: Extracting #4: cost 14 inf + 6 58.502 * * [simplify]: Extracting #5: cost 4 inf + 825 58.503 * * [simplify]: Extracting #6: cost 0 inf + 1234 58.503 * [simplify]: Simplified to (- 1/4 (/ (sqrt k) 4)) 58.503 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ (+ 1 (sqrt k)) 1) 1)) (- 1/4 (/ (sqrt k) 4)))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 58.503 * * * * [progress]: [ 150 / 226 ] simplifiying candidate # 58.503 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (cbrt 2)) 58.503 * * [simplify]: iters left: 6 (7 enodes) 58.506 * * [simplify]: iters left: 5 (30 enodes) 58.514 * * [simplify]: iters left: 4 (49 enodes) 58.530 * * [simplify]: iters left: 3 (59 enodes) 58.550 * * [simplify]: iters left: 2 (64 enodes) 58.567 * * [simplify]: Extracting #0: cost 1 inf + 0 58.567 * * [simplify]: Extracting #1: cost 9 inf + 0 58.567 * * [simplify]: Extracting #2: cost 23 inf + 0 58.568 * * [simplify]: Extracting #3: cost 24 inf + 3 58.568 * * [simplify]: Extracting #4: cost 15 inf + 980 58.569 * * [simplify]: Extracting #5: cost 1 inf + 3007 58.570 * * [simplify]: Extracting #6: cost 0 inf + 3169 58.571 * [simplify]: Simplified to (/ (- 1 k) (* (cbrt 2) (cbrt 2))) 58.571 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* (cbrt 2) (cbrt 2))))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 58.571 * * * * [progress]: [ 151 / 226 ] simplifiying candidate # 58.571 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 58.572 * * [simplify]: iters left: 6 (8 enodes) 58.577 * * [simplify]: iters left: 5 (33 enodes) 58.586 * * [simplify]: iters left: 4 (55 enodes) 58.594 * * [simplify]: iters left: 3 (72 enodes) 58.605 * * [simplify]: iters left: 2 (84 enodes) 58.621 * * [simplify]: iters left: 1 (88 enodes) 58.636 * * [simplify]: Extracting #0: cost 1 inf + 0 58.636 * * [simplify]: Extracting #1: cost 11 inf + 0 58.636 * * [simplify]: Extracting #2: cost 30 inf + 0 58.636 * * [simplify]: Extracting #3: cost 33 inf + 84 58.637 * * [simplify]: Extracting #4: cost 12 inf + 2402 58.637 * * [simplify]: Extracting #5: cost 0 inf + 4469 58.638 * [simplify]: Simplified to (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 58.638 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 58.638 * * * * [progress]: [ 152 / 226 ] simplifiying candidate # 58.639 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) 2) 58.639 * * [simplify]: iters left: 6 (7 enodes) 58.641 * * [simplify]: iters left: 5 (30 enodes) 58.649 * * [simplify]: iters left: 4 (52 enodes) 58.657 * * [simplify]: iters left: 3 (70 enodes) 58.671 * * [simplify]: iters left: 2 (81 enodes) 58.693 * * [simplify]: iters left: 1 (84 enodes) 58.705 * * [simplify]: Extracting #0: cost 1 inf + 0 58.705 * * [simplify]: Extracting #1: cost 11 inf + 0 58.705 * * [simplify]: Extracting #2: cost 25 inf + 203 58.705 * * [simplify]: Extracting #3: cost 25 inf + 530 58.705 * * [simplify]: Extracting #4: cost 4 inf + 2936 58.706 * * [simplify]: Extracting #5: cost 0 inf + 3504 58.706 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (cbrt 2)) 58.706 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) 2) (cbrt 2)))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 58.707 * * * * [progress]: [ 153 / 226 ] simplifiying candidate # 58.707 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 58.707 * * [simplify]: iters left: 6 (8 enodes) 58.709 * * [simplify]: iters left: 5 (33 enodes) 58.715 * * [simplify]: iters left: 4 (55 enodes) 58.733 * * [simplify]: iters left: 3 (72 enodes) 58.745 * * [simplify]: iters left: 2 (84 enodes) 58.760 * * [simplify]: iters left: 1 (88 enodes) 58.779 * * [simplify]: Extracting #0: cost 1 inf + 0 58.780 * * [simplify]: Extracting #1: cost 11 inf + 0 58.780 * * [simplify]: Extracting #2: cost 30 inf + 0 58.780 * * [simplify]: Extracting #3: cost 33 inf + 44 58.780 * * [simplify]: Extracting #4: cost 12 inf + 2362 58.781 * * [simplify]: Extracting #5: cost 0 inf + 4469 58.782 * [simplify]: Simplified to (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 58.782 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 58.782 * * * * [progress]: [ 154 / 226 ] simplifiying candidate # 58.782 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (sqrt 2)) 58.782 * * [simplify]: iters left: 6 (7 enodes) 58.784 * * [simplify]: iters left: 5 (30 enodes) 58.790 * * [simplify]: iters left: 4 (48 enodes) 58.798 * * [simplify]: iters left: 3 (56 enodes) 58.805 * * [simplify]: Extracting #0: cost 1 inf + 0 58.805 * * [simplify]: Extracting #1: cost 8 inf + 0 58.805 * * [simplify]: Extracting #2: cost 15 inf + 43 58.805 * * [simplify]: Extracting #3: cost 16 inf + 86 58.805 * * [simplify]: Extracting #4: cost 5 inf + 911 58.806 * * [simplify]: Extracting #5: cost 1 inf + 1198 58.806 * * [simplify]: Extracting #6: cost 0 inf + 1320 58.806 * [simplify]: Simplified to (/ (- 1 k) 2) 58.806 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 58.807 * * * * [progress]: [ 155 / 226 ] simplifiying candidate # 58.807 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) 2) 58.807 * * [simplify]: iters left: 6 (7 enodes) 58.811 * * [simplify]: iters left: 5 (30 enodes) 58.821 * * [simplify]: iters left: 4 (52 enodes) 58.837 * * [simplify]: iters left: 3 (70 enodes) 58.858 * * [simplify]: iters left: 2 (81 enodes) 58.880 * * [simplify]: iters left: 1 (84 enodes) 58.891 * * [simplify]: Extracting #0: cost 1 inf + 0 58.891 * * [simplify]: Extracting #1: cost 11 inf + 0 58.891 * * [simplify]: Extracting #2: cost 25 inf + 123 58.892 * * [simplify]: Extracting #3: cost 25 inf + 330 58.892 * * [simplify]: Extracting #4: cost 4 inf + 2256 58.893 * * [simplify]: Extracting #5: cost 0 inf + 2704 58.893 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (sqrt 2)) 58.893 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) 2) (sqrt 2)))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 58.893 * * * * [progress]: [ 156 / 226 ] simplifiying candidate # 58.893 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2)) 58.894 * * [simplify]: iters left: 6 (7 enodes) 58.896 * * [simplify]: iters left: 5 (31 enodes) 58.901 * * [simplify]: iters left: 4 (51 enodes) 58.915 * * [simplify]: iters left: 3 (64 enodes) 58.934 * * [simplify]: iters left: 2 (77 enodes) 58.947 * * [simplify]: iters left: 1 (84 enodes) 58.958 * * [simplify]: Extracting #0: cost 1 inf + 0 58.958 * * [simplify]: Extracting #1: cost 11 inf + 0 58.958 * * [simplify]: Extracting #2: cost 26 inf + 82 58.958 * * [simplify]: Extracting #3: cost 24 inf + 692 58.958 * * [simplify]: Extracting #4: cost 3 inf + 3057 58.959 * * [simplify]: Extracting #5: cost 0 inf + 3504 58.960 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2))) 58.960 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* 2 (cbrt 2))))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 58.960 * * * * [progress]: [ 157 / 226 ] simplifiying candidate # 58.960 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2)) 58.960 * * [simplify]: iters left: 6 (7 enodes) 58.963 * * [simplify]: iters left: 5 (31 enodes) 58.971 * * [simplify]: iters left: 4 (51 enodes) 58.986 * * [simplify]: iters left: 3 (64 enodes) 59.005 * * [simplify]: iters left: 2 (77 enodes) 59.015 * * [simplify]: iters left: 1 (84 enodes) 59.026 * * [simplify]: Extracting #0: cost 1 inf + 0 59.026 * * [simplify]: Extracting #1: cost 11 inf + 0 59.026 * * [simplify]: Extracting #2: cost 26 inf + 42 59.026 * * [simplify]: Extracting #3: cost 24 inf + 452 59.027 * * [simplify]: Extracting #4: cost 3 inf + 2337 59.027 * * [simplify]: Extracting #5: cost 0 inf + 2704 59.028 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2))) 59.028 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ 1 1) (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2))))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 59.028 * * * * [progress]: [ 158 / 226 ] simplifiying candidate # 59.028 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2) 59.028 * * [simplify]: iters left: 6 (6 enodes) 59.031 * * [simplify]: iters left: 5 (29 enodes) 59.040 * * [simplify]: iters left: 4 (44 enodes) 59.046 * * [simplify]: iters left: 3 (50 enodes) 59.054 * * [simplify]: iters left: 2 (57 enodes) 59.062 * * [simplify]: Extracting #0: cost 1 inf + 0 59.062 * * [simplify]: Extracting #1: cost 9 inf + 0 59.062 * * [simplify]: Extracting #2: cost 15 inf + 3 59.062 * * [simplify]: Extracting #3: cost 11 inf + 131 59.062 * * [simplify]: Extracting #4: cost 2 inf + 711 59.062 * * [simplify]: Extracting #5: cost 0 inf + 836 59.063 * [simplify]: Simplified to (- 1/4 (/ k 4)) 59.063 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ 1 1) 1)) (- 1/4 (/ k 4)))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 59.063 * * * * [progress]: [ 159 / 226 ] simplifiying candidate # 59.063 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2)) 59.063 * * [simplify]: iters left: 6 (7 enodes) 59.066 * * [simplify]: iters left: 5 (31 enodes) 59.076 * * [simplify]: iters left: 4 (51 enodes) 59.093 * * [simplify]: iters left: 3 (64 enodes) 59.104 * * [simplify]: iters left: 2 (77 enodes) 59.115 * * [simplify]: iters left: 1 (84 enodes) 59.127 * * [simplify]: Extracting #0: cost 1 inf + 0 59.127 * * [simplify]: Extracting #1: cost 11 inf + 0 59.128 * * [simplify]: Extracting #2: cost 26 inf + 82 59.128 * * [simplify]: Extracting #3: cost 24 inf + 692 59.129 * * [simplify]: Extracting #4: cost 3 inf + 3057 59.130 * * [simplify]: Extracting #5: cost 0 inf + 3504 59.131 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2))) 59.131 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* 2 (cbrt 2))))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 59.132 * * * * [progress]: [ 160 / 226 ] simplifiying candidate # 59.132 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2)) 59.132 * * [simplify]: iters left: 6 (7 enodes) 59.137 * * [simplify]: iters left: 5 (31 enodes) 59.149 * * [simplify]: iters left: 4 (51 enodes) 59.165 * * [simplify]: iters left: 3 (64 enodes) 59.183 * * [simplify]: iters left: 2 (77 enodes) 59.209 * * [simplify]: iters left: 1 (84 enodes) 59.231 * * [simplify]: Extracting #0: cost 1 inf + 0 59.231 * * [simplify]: Extracting #1: cost 11 inf + 0 59.231 * * [simplify]: Extracting #2: cost 26 inf + 42 59.232 * * [simplify]: Extracting #3: cost 24 inf + 452 59.232 * * [simplify]: Extracting #4: cost 3 inf + 2337 59.234 * * [simplify]: Extracting #5: cost 0 inf + 2704 59.235 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2))) 59.235 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2))))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 59.235 * * * * [progress]: [ 161 / 226 ] simplifiying candidate # 59.236 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2) 59.236 * * [simplify]: iters left: 6 (6 enodes) 59.241 * * [simplify]: iters left: 5 (29 enodes) 59.251 * * [simplify]: iters left: 4 (44 enodes) 59.263 * * [simplify]: iters left: 3 (50 enodes) 59.278 * * [simplify]: iters left: 2 (57 enodes) 59.293 * * [simplify]: Extracting #0: cost 1 inf + 0 59.293 * * [simplify]: Extracting #1: cost 9 inf + 0 59.294 * * [simplify]: Extracting #2: cost 15 inf + 3 59.294 * * [simplify]: Extracting #3: cost 11 inf + 131 59.294 * * [simplify]: Extracting #4: cost 2 inf + 711 59.295 * * [simplify]: Extracting #5: cost 0 inf + 836 59.295 * [simplify]: Simplified to (- 1/4 (/ k 4)) 59.295 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 1)) (- 1/4 (/ k 4)))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 59.295 * * * * [progress]: [ 162 / 226 ] simplifiying candidate # 59.296 * [simplify]: Simplifying (/ (/ 1 2) (cbrt 2)) 59.296 * * [simplify]: iters left: 4 (5 enodes) 59.300 * * [simplify]: iters left: 3 (20 enodes) 59.303 * * [simplify]: iters left: 2 (27 enodes) 59.308 * * [simplify]: iters left: 1 (29 enodes) 59.312 * * [simplify]: Extracting #0: cost 1 inf + 0 59.312 * * [simplify]: Extracting #1: cost 8 inf + 0 59.312 * * [simplify]: Extracting #2: cost 4 inf + 449 59.312 * * [simplify]: Extracting #3: cost 0 inf + 895 59.313 * [simplify]: Simplified to (/ 1/2 (cbrt 2)) 59.313 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) (/ 1/2 (cbrt 2)))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 59.313 * * * * [progress]: [ 163 / 226 ] simplifiying candidate # 59.313 * [simplify]: Simplifying (/ (/ 1 2) (sqrt 2)) 59.313 * * [simplify]: iters left: 4 (5 enodes) 59.315 * * [simplify]: iters left: 3 (20 enodes) 59.319 * * [simplify]: iters left: 2 (27 enodes) 59.323 * * [simplify]: iters left: 1 (29 enodes) 59.330 * * [simplify]: Extracting #0: cost 1 inf + 0 59.331 * * [simplify]: Extracting #1: cost 8 inf + 0 59.331 * * [simplify]: Extracting #2: cost 4 inf + 289 59.331 * * [simplify]: Extracting #3: cost 0 inf + 575 59.331 * [simplify]: Simplified to (/ 1/2 (sqrt 2)) 59.331 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (- 1 k) (sqrt 2))) (/ 1/2 (sqrt 2)))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 59.331 * * * * [progress]: [ 164 / 226 ] simplifiying candidate # 59.331 * [simplify]: Simplifying (/ (/ 1 2) 2) 59.331 * * [simplify]: iters left: 4 (4 enodes) 59.334 * * [simplify]: iters left: 3 (19 enodes) 59.337 * * [simplify]: iters left: 2 (23 enodes) 59.341 * * [simplify]: Extracting #0: cost 1 inf + 0 59.341 * * [simplify]: Extracting #1: cost 0 inf + 1 59.341 * [simplify]: Simplified to 1/4 59.341 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (- 1 k) 1)) 1/4)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 59.341 * * * * [progress]: [ 165 / 226 ] simplifiying candidate # 59.341 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2) 59.341 * * [simplify]: iters left: 6 (6 enodes) 59.343 * * [simplify]: iters left: 5 (29 enodes) 59.349 * * [simplify]: iters left: 4 (44 enodes) 59.355 * * [simplify]: iters left: 3 (50 enodes) 59.363 * * [simplify]: iters left: 2 (57 enodes) 59.371 * * [simplify]: Extracting #0: cost 1 inf + 0 59.371 * * [simplify]: Extracting #1: cost 9 inf + 0 59.371 * * [simplify]: Extracting #2: cost 15 inf + 3 59.371 * * [simplify]: Extracting #3: cost 11 inf + 131 59.371 * * [simplify]: Extracting #4: cost 2 inf + 711 59.371 * * [simplify]: Extracting #5: cost 0 inf + 836 59.372 * [simplify]: Simplified to (- 1/4 (/ k 4)) 59.372 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (- 1/4 (/ k 4)))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 59.372 * * * * [progress]: [ 166 / 226 ] simplifiying candidate # 59.372 * [simplify]: Simplifying (/ 1 2) 59.372 * * [simplify]: iters left: 2 (3 enodes) 59.374 * * [simplify]: iters left: 1 (12 enodes) 59.376 * * [simplify]: Extracting #0: cost 1 inf + 0 59.376 * * [simplify]: Extracting #1: cost 0 inf + 1 59.376 * [simplify]: Simplified to 1/2 59.376 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (- 1 k) 2)) 1/2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 59.376 * * * * [progress]: [ 167 / 226 ] simplifiying candidate # 59.376 * [simplify]: Simplifying (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) 59.376 * * [simplify]: iters left: 6 (9 enodes) 59.379 * * [simplify]: iters left: 5 (42 enodes) 59.389 * * [simplify]: iters left: 4 (70 enodes) 59.412 * * [simplify]: iters left: 3 (117 enodes) 59.451 * * [simplify]: iters left: 2 (232 enodes) 59.520 * * [simplify]: iters left: 1 (452 enodes) 59.725 * * [simplify]: Extracting #0: cost 1 inf + 0 59.725 * * [simplify]: Extracting #1: cost 24 inf + 0 59.725 * * [simplify]: Extracting #2: cost 94 inf + 1 59.726 * * [simplify]: Extracting #3: cost 164 inf + 94 59.726 * * [simplify]: Extracting #4: cost 174 inf + 187 59.729 * * [simplify]: Extracting #5: cost 104 inf + 8023 59.734 * * [simplify]: Extracting #6: cost 33 inf + 28456 59.743 * * [simplify]: Extracting #7: cost 0 inf + 52800 59.752 * * [simplify]: Extracting #8: cost 0 inf + 51842 59.761 * [simplify]: Simplified to (pow (* 2 PI) (- 1/4 (/ k 4))) 59.761 * [simplify]: Simplified (2 1 2 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (* (pow (* 2 PI) (- 1/4 (/ k 4))) (pow n (/ (/ (- 1 k) 2) 2)))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 59.761 * * * * [progress]: [ 168 / 226 ] simplifiying candidate # 59.761 * * * * [progress]: [ 169 / 226 ] simplifiying candidate # 59.761 * * * * [progress]: [ 170 / 226 ] simplifiying candidate # 59.761 * * * * [progress]: [ 171 / 226 ] simplifiying candidate # 59.761 * * * * [progress]: [ 172 / 226 ] simplifiying candidate # 59.761 * * * * [progress]: [ 173 / 226 ] simplifiying candidate # 59.761 * * * * [progress]: [ 174 / 226 ] simplifiying candidate # 59.761 * * * * [progress]: [ 175 / 226 ] simplifiying candidate # 59.762 * * * * [progress]: [ 176 / 226 ] simplifiying candidate #real (real->posit16 (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))> 59.762 * * * * [progress]: [ 177 / 226 ] simplifiying candidate # 59.762 * [simplify]: Simplifying (* (* 2 PI) n) 59.762 * * [simplify]: iters left: 4 (5 enodes) 59.763 * * [simplify]: iters left: 3 (19 enodes) 59.766 * * [simplify]: iters left: 2 (27 enodes) 59.770 * * [simplify]: iters left: 1 (32 enodes) 59.774 * * [simplify]: Extracting #0: cost 1 inf + 0 59.774 * * [simplify]: Extracting #1: cost 8 inf + 0 59.774 * * [simplify]: Extracting #2: cost 7 inf + 45 59.774 * * [simplify]: Extracting #3: cost 0 inf + 421 59.774 * [simplify]: Simplified to (* (* 2 PI) n) 59.774 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) 1) (/ (/ (- 1 k) 2) 2)))) 59.774 * * * * [progress]: [ 178 / 226 ] simplifiying candidate # 59.774 * [simplify]: Simplifying (* (* 2 PI) n) 59.774 * * [simplify]: iters left: 4 (5 enodes) 59.776 * * [simplify]: iters left: 3 (19 enodes) 59.779 * * [simplify]: iters left: 2 (27 enodes) 59.782 * * [simplify]: iters left: 1 (32 enodes) 59.786 * * [simplify]: Extracting #0: cost 1 inf + 0 59.786 * * [simplify]: Extracting #1: cost 8 inf + 0 59.786 * * [simplify]: Extracting #2: cost 7 inf + 45 59.787 * * [simplify]: Extracting #3: cost 0 inf + 421 59.787 * [simplify]: Simplified to (* (* 2 PI) n) 59.787 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (pow (* (* 2 PI) n) 1) (/ (/ (- 1 k) 2) 2)))) 59.787 * * * * [progress]: [ 179 / 226 ] simplifiying candidate # 59.787 * * * * [progress]: [ 180 / 226 ] simplifiying candidate # 59.787 * [simplify]: Simplifying (+ (+ (log 2) (log PI)) (log n)) 59.787 * * [simplify]: iters left: 5 (8 enodes) 59.792 * * [simplify]: iters left: 4 (28 enodes) 59.796 * * [simplify]: iters left: 3 (36 enodes) 59.801 * * [simplify]: iters left: 2 (42 enodes) 59.806 * * [simplify]: Extracting #0: cost 1 inf + 0 59.806 * * [simplify]: Extracting #1: cost 8 inf + 0 59.806 * * [simplify]: Extracting #2: cost 17 inf + 0 59.806 * * [simplify]: Extracting #3: cost 13 inf + 74 59.806 * * [simplify]: Extracting #4: cost 6 inf + 1015 59.807 * * [simplify]: Extracting #5: cost 0 inf + 2107 59.807 * [simplify]: Simplified to (+ (log 2) (+ (log PI) (log n))) 59.807 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (exp (+ (log 2) (+ (log PI) (log n)))) (/ (/ (- 1 k) 2) 2)))) 59.807 * * * * [progress]: [ 181 / 226 ] simplifiying candidate # 59.807 * [simplify]: Simplifying (+ (log (* 2 PI)) (log n)) 59.807 * * [simplify]: iters left: 5 (7 enodes) 59.809 * * [simplify]: iters left: 4 (26 enodes) 59.813 * * [simplify]: iters left: 3 (35 enodes) 59.821 * * [simplify]: iters left: 2 (44 enodes) 59.832 * * [simplify]: Extracting #0: cost 1 inf + 0 59.832 * * [simplify]: Extracting #1: cost 8 inf + 0 59.832 * * [simplify]: Extracting #2: cost 18 inf + 0 59.832 * * [simplify]: Extracting #3: cost 15 inf + 74 59.833 * * [simplify]: Extracting #4: cost 6 inf + 918 59.833 * * [simplify]: Extracting #5: cost 0 inf + 1911 59.834 * [simplify]: Simplified to (+ (log (* 2 PI)) (log n)) 59.834 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (exp (+ (log (* 2 PI)) (log n))) (/ (/ (- 1 k) 2) 2)))) 59.835 * * * * [progress]: [ 182 / 226 ] simplifiying candidate # 59.835 * * * * [progress]: [ 183 / 226 ] simplifiying candidate # 59.835 * * * * [progress]: [ 184 / 226 ] simplifiying candidate # 59.835 * [simplify]: Simplifying (* (* (* (* 2 2) 2) (* (* PI PI) PI)) (* (* n n) n)) 59.835 * * [simplify]: iters left: 6 (11 enodes) 59.843 * * [simplify]: iters left: 5 (47 enodes) 59.863 * * [simplify]: iters left: 4 (115 enodes) 59.899 * * [simplify]: iters left: 3 (384 enodes) 60.181 * * [simplify]: Extracting #0: cost 1 inf + 0 60.181 * * [simplify]: Extracting #1: cost 102 inf + 0 60.182 * * [simplify]: Extracting #2: cost 263 inf + 1026 60.188 * * [simplify]: Extracting #3: cost 88 inf + 24284 60.198 * * [simplify]: Extracting #4: cost 2 inf + 40704 60.208 * * [simplify]: Extracting #5: cost 0 inf + 41008 60.223 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n)) 60.223 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (cbrt (* (* (* (* PI n) (* PI n)) 8) (* PI n))) (/ (/ (- 1 k) 2) 2)))) 60.223 * * * * [progress]: [ 185 / 226 ] simplifiying candidate # 60.224 * [simplify]: Simplifying (* (* (* (* 2 PI) (* 2 PI)) (* 2 PI)) (* (* n n) n)) 60.224 * * [simplify]: iters left: 6 (9 enodes) 60.229 * * [simplify]: iters left: 5 (45 enodes) 60.247 * * [simplify]: iters left: 4 (116 enodes) 60.287 * * [simplify]: iters left: 3 (371 enodes) 60.562 * * [simplify]: Extracting #0: cost 1 inf + 0 60.563 * * [simplify]: Extracting #1: cost 82 inf + 0 60.564 * * [simplify]: Extracting #2: cost 200 inf + 498 60.570 * * [simplify]: Extracting #3: cost 121 inf + 10421 60.584 * * [simplify]: Extracting #4: cost 5 inf + 33505 60.593 * * [simplify]: Extracting #5: cost 0 inf + 33849 60.604 * * [simplify]: Extracting #6: cost 0 inf + 33809 60.617 * [simplify]: Simplified to (* (* n PI) (* 8 (* (* n PI) (* n PI)))) 60.617 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (cbrt (* (* n PI) (* 8 (* (* n PI) (* n PI))))) (/ (/ (- 1 k) 2) 2)))) 60.617 * * * * [progress]: [ 186 / 226 ] simplifiying candidate # 60.617 * * * * [progress]: [ 187 / 226 ] simplifiying candidate # 60.617 * * * * [progress]: [ 188 / 226 ] simplifiying candidate # 60.617 * * * * [progress]: [ 189 / 226 ] simplifiying candidate # 60.617 * * * * [progress]: [ 190 / 226 ] simplifiying candidate # 60.617 * [simplify]: Simplifying (cbrt n) 60.617 * * [simplify]: iters left: 1 (2 enodes) 60.618 * * [simplify]: Extracting #0: cost 1 inf + 0 60.618 * * [simplify]: Extracting #1: cost 3 inf + 0 60.618 * * [simplify]: Extracting #2: cost 2 inf + 1 60.618 * * [simplify]: Extracting #3: cost 0 inf + 163 60.618 * [simplify]: Simplified to (cbrt n) 60.618 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (* (* (* 2 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (/ (- 1 k) 2) 2)))) 60.618 * * * * [progress]: [ 191 / 226 ] simplifiying candidate # 60.618 * [simplify]: Simplifying (sqrt n) 60.618 * * [simplify]: iters left: 1 (2 enodes) 60.619 * * [simplify]: Extracting #0: cost 1 inf + 0 60.619 * * [simplify]: Extracting #1: cost 3 inf + 0 60.619 * * [simplify]: Extracting #2: cost 2 inf + 1 60.619 * * [simplify]: Extracting #3: cost 0 inf + 83 60.619 * [simplify]: Simplified to (sqrt n) 60.619 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (* (* (* 2 PI) (sqrt n)) (sqrt n)) (/ (/ (- 1 k) 2) 2)))) 60.619 * * * * [progress]: [ 192 / 226 ] simplifiying candidate # 60.619 * * * * [progress]: [ 193 / 226 ] simplifiying candidate # 60.619 * * * * [progress]: [ 194 / 226 ] simplifiying candidate #real (real->posit16 (* (* 2 PI) n))) (/ (/ (- 1 k) 2) 2))))> 60.619 * * * * [progress]: [ 195 / 226 ] simplifiying candidate # 60.619 * * * * [progress]: [ 196 / 226 ] simplifiying candidate # 60.619 * [simplify]: Simplifying (* (* 2 PI) n) 60.619 * * [simplify]: iters left: 4 (5 enodes) 60.621 * * [simplify]: iters left: 3 (19 enodes) 60.624 * * [simplify]: iters left: 2 (27 enodes) 60.629 * * [simplify]: iters left: 1 (32 enodes) 60.633 * * [simplify]: Extracting #0: cost 1 inf + 0 60.633 * * [simplify]: Extracting #1: cost 8 inf + 0 60.633 * * [simplify]: Extracting #2: cost 7 inf + 45 60.633 * * [simplify]: Extracting #3: cost 0 inf + 421 60.633 * [simplify]: Simplified to (* (* 2 PI) n) 60.633 * [simplify]: Simplified (2 1 2 1 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (/ (- 1 k) 2) 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 60.633 * * * * [progress]: [ 197 / 226 ] simplifiying candidate # 60.633 * [simplify]: Simplifying (* (* 2 PI) n) 60.633 * * [simplify]: iters left: 4 (5 enodes) 60.635 * * [simplify]: iters left: 3 (19 enodes) 60.638 * * [simplify]: iters left: 2 (27 enodes) 60.641 * * [simplify]: iters left: 1 (32 enodes) 60.645 * * [simplify]: Extracting #0: cost 1 inf + 0 60.645 * * [simplify]: Extracting #1: cost 8 inf + 0 60.645 * * [simplify]: Extracting #2: cost 7 inf + 45 60.645 * * [simplify]: Extracting #3: cost 0 inf + 421 60.646 * [simplify]: Simplified to (* (* 2 PI) n) 60.646 * [simplify]: Simplified (2 1 2 1 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (/ (- 1 k) 2) 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 60.646 * * * * [progress]: [ 198 / 226 ] simplifiying candidate # 60.646 * * * * [progress]: [ 199 / 226 ] simplifiying candidate # 60.646 * [simplify]: Simplifying (+ (+ (log 2) (log PI)) (log n)) 60.646 * * [simplify]: iters left: 5 (8 enodes) 60.648 * * [simplify]: iters left: 4 (28 enodes) 60.653 * * [simplify]: iters left: 3 (36 enodes) 60.660 * * [simplify]: iters left: 2 (42 enodes) 60.671 * * [simplify]: Extracting #0: cost 1 inf + 0 60.671 * * [simplify]: Extracting #1: cost 8 inf + 0 60.671 * * [simplify]: Extracting #2: cost 17 inf + 0 60.672 * * [simplify]: Extracting #3: cost 13 inf + 74 60.672 * * [simplify]: Extracting #4: cost 6 inf + 1015 60.672 * * [simplify]: Extracting #5: cost 0 inf + 2107 60.673 * [simplify]: Simplified to (+ (log 2) (+ (log PI) (log n))) 60.673 * [simplify]: Simplified (2 1 2 1 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (exp (+ (log 2) (+ (log PI) (log n)))) (/ (/ (- 1 k) 2) 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 60.673 * * * * [progress]: [ 200 / 226 ] simplifiying candidate # 60.674 * [simplify]: Simplifying (+ (log (* 2 PI)) (log n)) 60.674 * * [simplify]: iters left: 5 (7 enodes) 60.678 * * [simplify]: iters left: 4 (26 enodes) 60.685 * * [simplify]: iters left: 3 (35 enodes) 60.691 * * [simplify]: iters left: 2 (44 enodes) 60.697 * * [simplify]: Extracting #0: cost 1 inf + 0 60.697 * * [simplify]: Extracting #1: cost 8 inf + 0 60.698 * * [simplify]: Extracting #2: cost 18 inf + 0 60.698 * * [simplify]: Extracting #3: cost 15 inf + 74 60.698 * * [simplify]: Extracting #4: cost 6 inf + 918 60.698 * * [simplify]: Extracting #5: cost 0 inf + 1911 60.698 * [simplify]: Simplified to (+ (log (* 2 PI)) (log n)) 60.698 * [simplify]: Simplified (2 1 2 1 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (exp (+ (log (* 2 PI)) (log n))) (/ (/ (- 1 k) 2) 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 60.699 * * * * [progress]: [ 201 / 226 ] simplifiying candidate # 60.699 * * * * [progress]: [ 202 / 226 ] simplifiying candidate # 60.699 * * * * [progress]: [ 203 / 226 ] simplifiying candidate # 60.699 * [simplify]: Simplifying (* (* (* (* 2 2) 2) (* (* PI PI) PI)) (* (* n n) n)) 60.699 * * [simplify]: iters left: 6 (11 enodes) 60.702 * * [simplify]: iters left: 5 (47 enodes) 60.715 * * [simplify]: iters left: 4 (115 enodes) 60.740 * * [simplify]: iters left: 3 (384 enodes) 61.056 * * [simplify]: Extracting #0: cost 1 inf + 0 61.057 * * [simplify]: Extracting #1: cost 102 inf + 0 61.059 * * [simplify]: Extracting #2: cost 263 inf + 1026 61.070 * * [simplify]: Extracting #3: cost 88 inf + 24284 61.089 * * [simplify]: Extracting #4: cost 2 inf + 40704 61.114 * * [simplify]: Extracting #5: cost 0 inf + 41008 61.128 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n)) 61.128 * [simplify]: Simplified (2 1 2 1 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (cbrt (* (* (* (* PI n) (* PI n)) 8) (* PI n))) (/ (/ (- 1 k) 2) 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 61.128 * * * * [progress]: [ 204 / 226 ] simplifiying candidate # 61.129 * [simplify]: Simplifying (* (* (* (* 2 PI) (* 2 PI)) (* 2 PI)) (* (* n n) n)) 61.129 * * [simplify]: iters left: 6 (9 enodes) 61.132 * * [simplify]: iters left: 5 (45 enodes) 61.141 * * [simplify]: iters left: 4 (116 enodes) 61.172 * * [simplify]: iters left: 3 (371 enodes) 61.431 * * [simplify]: Extracting #0: cost 1 inf + 0 61.432 * * [simplify]: Extracting #1: cost 82 inf + 0 61.433 * * [simplify]: Extracting #2: cost 200 inf + 498 61.436 * * [simplify]: Extracting #3: cost 121 inf + 10421 61.450 * * [simplify]: Extracting #4: cost 5 inf + 33505 61.465 * * [simplify]: Extracting #5: cost 0 inf + 33849 61.484 * * [simplify]: Extracting #6: cost 0 inf + 33809 61.502 * [simplify]: Simplified to (* (* n PI) (* 8 (* (* n PI) (* n PI)))) 61.503 * [simplify]: Simplified (2 1 2 1 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (cbrt (* (* n PI) (* 8 (* (* n PI) (* n PI))))) (/ (/ (- 1 k) 2) 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 61.503 * * * * [progress]: [ 205 / 226 ] simplifiying candidate # 61.503 * * * * [progress]: [ 206 / 226 ] simplifiying candidate # 61.503 * * * * [progress]: [ 207 / 226 ] simplifiying candidate # 61.503 * * * * [progress]: [ 208 / 226 ] simplifiying candidate # 61.503 * * * * [progress]: [ 209 / 226 ] simplifiying candidate # 61.504 * [simplify]: Simplifying (cbrt n) 61.504 * * [simplify]: iters left: 1 (2 enodes) 61.505 * * [simplify]: Extracting #0: cost 1 inf + 0 61.505 * * [simplify]: Extracting #1: cost 3 inf + 0 61.505 * * [simplify]: Extracting #2: cost 2 inf + 1 61.505 * * [simplify]: Extracting #3: cost 0 inf + 163 61.505 * [simplify]: Simplified to (cbrt n) 61.505 * [simplify]: Simplified (2 1 2 1 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* (* 2 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (/ (- 1 k) 2) 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 61.505 * * * * [progress]: [ 210 / 226 ] simplifiying candidate # 61.505 * [simplify]: Simplifying (sqrt n) 61.505 * * [simplify]: iters left: 1 (2 enodes) 61.506 * * [simplify]: Extracting #0: cost 1 inf + 0 61.506 * * [simplify]: Extracting #1: cost 3 inf + 0 61.506 * * [simplify]: Extracting #2: cost 2 inf + 1 61.506 * * [simplify]: Extracting #3: cost 0 inf + 83 61.506 * [simplify]: Simplified to (sqrt n) 61.507 * [simplify]: Simplified (2 1 2 1 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* (* 2 PI) (sqrt n)) (sqrt n)) (/ (/ (- 1 k) 2) 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 61.507 * * * * [progress]: [ 211 / 226 ] simplifiying candidate # 61.507 * * * * [progress]: [ 212 / 226 ] simplifiying candidate # 61.507 * * * * [progress]: [ 213 / 226 ] simplifiying candidate #real (real->posit16 (* (* 2 PI) n))) (/ (/ (- 1 k) 2) 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))> 61.507 * * * * [progress]: [ 214 / 226 ] simplifiying candidate # 61.507 * * * * [progress]: [ 215 / 226 ] simplifiying candidate # 61.507 * [simplify]: Simplifying (- (+ (* 1/16 (* (log (* 2 PI)) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/32 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/4 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/4 (* k (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI))))))) 61.507 * * [simplify]: iters left: 6 (37 enodes) 61.519 * * [simplify]: iters left: 5 (190 enodes) 61.562 * * [simplify]: Extracting #0: cost 1 inf + 0 61.563 * * [simplify]: Extracting #1: cost 18 inf + 0 61.563 * * [simplify]: Extracting #2: cost 85 inf + 0 61.563 * * [simplify]: Extracting #3: cost 169 inf + 45 61.564 * * [simplify]: Extracting #4: cost 194 inf + 581 61.567 * * [simplify]: Extracting #5: cost 128 inf + 18118 61.581 * * [simplify]: Extracting #6: cost 27 inf + 64733 61.599 * * [simplify]: Extracting #7: cost 1 inf + 82414 61.615 * * [simplify]: Extracting #8: cost 0 inf + 81915 61.639 * * [simplify]: Extracting #9: cost 0 inf + 81594 61.658 * [simplify]: Simplified to (+ (+ (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (* (log (* PI 2)) 1/16) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (* k k) (log n))))) (- (* 1/32 (* (* k k) (+ (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (log (* PI 2)) (log (* PI 2))))))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/4))))) 1/4))) 61.658 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (+ (+ (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (* (log (* PI 2)) 1/16) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (* k k) (log n))))) (- (* 1/32 (* (* k k) (+ (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (log (* PI 2)) (log (* PI 2))))))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/4))))) 1/4))))) 61.658 * * * * [progress]: [ 216 / 226 ] simplifiying candidate # 61.659 * [simplify]: Simplifying (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 61.659 * * [simplify]: iters left: 6 (15 enodes) 61.668 * * [simplify]: iters left: 5 (65 enodes) 61.690 * * [simplify]: iters left: 4 (123 enodes) 61.743 * * [simplify]: iters left: 3 (360 enodes) 61.889 * * [simplify]: Extracting #0: cost 1 inf + 0 61.890 * * [simplify]: Extracting #1: cost 37 inf + 0 61.890 * * [simplify]: Extracting #2: cost 214 inf + 1 61.893 * * [simplify]: Extracting #3: cost 351 inf + 1827 61.901 * * [simplify]: Extracting #4: cost 217 inf + 29927 61.918 * * [simplify]: Extracting #5: cost 35 inf + 80289 61.934 * * [simplify]: Extracting #6: cost 0 inf + 89737 61.958 * * [simplify]: Extracting #7: cost 0 inf + 88848 61.988 * * [simplify]: Extracting #8: cost 0 inf + 88843 62.019 * [simplify]: Simplified to (exp (* (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)) 1/4)) 62.019 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (exp (* (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)) 1/4)))) 62.019 * * * * [progress]: [ 217 / 226 ] simplifiying candidate # 62.019 * [simplify]: Simplifying (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 62.020 * * [simplify]: iters left: 6 (16 enodes) 62.029 * * [simplify]: iters left: 5 (67 enodes) 62.053 * * [simplify]: iters left: 4 (134 enodes) 62.095 * * [simplify]: iters left: 3 (406 enodes) 62.317 * * [simplify]: Extracting #0: cost 1 inf + 0 62.317 * * [simplify]: Extracting #1: cost 39 inf + 0 62.317 * * [simplify]: Extracting #2: cost 241 inf + 72 62.319 * * [simplify]: Extracting #3: cost 449 inf + 888 62.325 * * [simplify]: Extracting #4: cost 276 inf + 41470 62.346 * * [simplify]: Extracting #5: cost 21 inf + 115189 62.390 * * [simplify]: Extracting #6: cost 0 inf + 121987 62.438 * * [simplify]: Extracting #7: cost 0 inf + 121985 62.475 * [simplify]: Simplified to (exp (* (- 1/4 (* 1/4 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 62.475 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (exp (* (- 1/4 (* 1/4 k)) (- (log (* -2 PI)) (log (/ -1 n))))))) 62.476 * * * * [progress]: [ 218 / 226 ] simplifiying candidate # 62.476 * [simplify]: Simplifying (- (+ (* 1/16 (* (log (* 2 PI)) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/32 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/4 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/4 (* k (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI))))))) 62.476 * * [simplify]: iters left: 6 (37 enodes) 62.487 * * [simplify]: iters left: 5 (190 enodes) 62.546 * * [simplify]: Extracting #0: cost 1 inf + 0 62.547 * * [simplify]: Extracting #1: cost 18 inf + 0 62.547 * * [simplify]: Extracting #2: cost 85 inf + 0 62.548 * * [simplify]: Extracting #3: cost 169 inf + 45 62.549 * * [simplify]: Extracting #4: cost 194 inf + 581 62.554 * * [simplify]: Extracting #5: cost 128 inf + 18118 62.572 * * [simplify]: Extracting #6: cost 27 inf + 64733 62.590 * * [simplify]: Extracting #7: cost 1 inf + 82414 62.606 * * [simplify]: Extracting #8: cost 0 inf + 81915 62.633 * * [simplify]: Extracting #9: cost 0 inf + 81594 62.668 * [simplify]: Simplified to (+ (+ (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (* (log (* PI 2)) 1/16) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (* k k) (log n))))) (- (* 1/32 (* (* k k) (+ (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (log (* PI 2)) (log (* PI 2))))))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/4))))) 1/4))) 62.669 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (+ (+ (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (* (log (* PI 2)) 1/16) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (* k k) (log n))))) (- (* 1/32 (* (* k k) (+ (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (log (* PI 2)) (log (* PI 2))))))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/4))))) 1/4)))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 62.669 * * * * [progress]: [ 219 / 226 ] simplifiying candidate # 62.670 * [simplify]: Simplifying (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 62.670 * * [simplify]: iters left: 6 (15 enodes) 62.679 * * [simplify]: iters left: 5 (65 enodes) 62.693 * * [simplify]: iters left: 4 (123 enodes) 62.720 * * [simplify]: iters left: 3 (360 enodes) 62.864 * * [simplify]: Extracting #0: cost 1 inf + 0 62.864 * * [simplify]: Extracting #1: cost 37 inf + 0 62.865 * * [simplify]: Extracting #2: cost 214 inf + 1 62.866 * * [simplify]: Extracting #3: cost 351 inf + 1827 62.870 * * [simplify]: Extracting #4: cost 217 inf + 29927 62.884 * * [simplify]: Extracting #5: cost 35 inf + 80289 62.909 * * [simplify]: Extracting #6: cost 0 inf + 89737 62.927 * * [simplify]: Extracting #7: cost 0 inf + 88848 62.950 * * [simplify]: Extracting #8: cost 0 inf + 88843 62.973 * [simplify]: Simplified to (exp (* (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)) 1/4)) 62.973 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (exp (* (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)) 1/4))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 62.973 * * * * [progress]: [ 220 / 226 ] simplifiying candidate # 62.973 * [simplify]: Simplifying (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 62.973 * * [simplify]: iters left: 6 (16 enodes) 62.978 * * [simplify]: iters left: 5 (67 enodes) 62.991 * * [simplify]: iters left: 4 (134 enodes) 63.054 * * [simplify]: iters left: 3 (406 enodes) 63.290 * * [simplify]: Extracting #0: cost 1 inf + 0 63.290 * * [simplify]: Extracting #1: cost 39 inf + 0 63.291 * * [simplify]: Extracting #2: cost 241 inf + 72 63.294 * * [simplify]: Extracting #3: cost 449 inf + 888 63.305 * * [simplify]: Extracting #4: cost 276 inf + 41470 63.340 * * [simplify]: Extracting #5: cost 21 inf + 115189 63.383 * * [simplify]: Extracting #6: cost 0 inf + 121987 63.432 * * [simplify]: Extracting #7: cost 0 inf + 121985 63.475 * [simplify]: Simplified to (exp (* (- 1/4 (* 1/4 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 63.475 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (exp (* (- 1/4 (* 1/4 k)) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 63.476 * * * * [progress]: [ 221 / 226 ] simplifiying candidate # 63.476 * [simplify]: Simplifying (* 2 (* n PI)) 63.476 * * [simplify]: iters left: 4 (5 enodes) 63.479 * * [simplify]: iters left: 3 (19 enodes) 63.485 * * [simplify]: iters left: 2 (27 enodes) 63.493 * * [simplify]: iters left: 1 (32 enodes) 63.497 * * [simplify]: Extracting #0: cost 1 inf + 0 63.497 * * [simplify]: Extracting #1: cost 8 inf + 0 63.497 * * [simplify]: Extracting #2: cost 7 inf + 45 63.497 * * [simplify]: Extracting #3: cost 0 inf + 421 63.497 * [simplify]: Simplified to (* (* PI n) 2) 63.497 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2)))) 63.497 * * * * [progress]: [ 222 / 226 ] simplifiying candidate # 63.497 * [simplify]: Simplifying (* 2 (* n PI)) 63.498 * * [simplify]: iters left: 4 (5 enodes) 63.499 * * [simplify]: iters left: 3 (19 enodes) 63.502 * * [simplify]: iters left: 2 (27 enodes) 63.506 * * [simplify]: iters left: 1 (32 enodes) 63.510 * * [simplify]: Extracting #0: cost 1 inf + 0 63.510 * * [simplify]: Extracting #1: cost 8 inf + 0 63.510 * * [simplify]: Extracting #2: cost 7 inf + 45 63.511 * * [simplify]: Extracting #3: cost 0 inf + 421 63.511 * [simplify]: Simplified to (* (* PI n) 2) 63.511 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2)))) 63.511 * * * * [progress]: [ 223 / 226 ] simplifiying candidate # 63.511 * [simplify]: Simplifying (* 2 (* n PI)) 63.511 * * [simplify]: iters left: 4 (5 enodes) 63.512 * * [simplify]: iters left: 3 (19 enodes) 63.515 * * [simplify]: iters left: 2 (27 enodes) 63.519 * * [simplify]: iters left: 1 (32 enodes) 63.524 * * [simplify]: Extracting #0: cost 1 inf + 0 63.524 * * [simplify]: Extracting #1: cost 8 inf + 0 63.524 * * [simplify]: Extracting #2: cost 7 inf + 45 63.524 * * [simplify]: Extracting #3: cost 0 inf + 421 63.524 * [simplify]: Simplified to (* (* PI n) 2) 63.524 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2)))) 63.525 * * * * [progress]: [ 224 / 226 ] simplifiying candidate # 63.525 * [simplify]: Simplifying (* 2 (* n PI)) 63.525 * * [simplify]: iters left: 4 (5 enodes) 63.531 * * [simplify]: iters left: 3 (19 enodes) 63.536 * * [simplify]: iters left: 2 (27 enodes) 63.540 * * [simplify]: iters left: 1 (32 enodes) 63.544 * * [simplify]: Extracting #0: cost 1 inf + 0 63.545 * * [simplify]: Extracting #1: cost 8 inf + 0 63.545 * * [simplify]: Extracting #2: cost 7 inf + 45 63.545 * * [simplify]: Extracting #3: cost 0 inf + 421 63.545 * [simplify]: Simplified to (* (* PI n) 2) 63.545 * [simplify]: Simplified (2 1 2 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 63.545 * * * * [progress]: [ 225 / 226 ] simplifiying candidate # 63.545 * [simplify]: Simplifying (* 2 (* n PI)) 63.545 * * [simplify]: iters left: 4 (5 enodes) 63.547 * * [simplify]: iters left: 3 (19 enodes) 63.550 * * [simplify]: iters left: 2 (27 enodes) 63.554 * * [simplify]: iters left: 1 (32 enodes) 63.558 * * [simplify]: Extracting #0: cost 1 inf + 0 63.558 * * [simplify]: Extracting #1: cost 8 inf + 0 63.558 * * [simplify]: Extracting #2: cost 7 inf + 45 63.558 * * [simplify]: Extracting #3: cost 0 inf + 421 63.558 * [simplify]: Simplified to (* (* PI n) 2) 63.559 * [simplify]: Simplified (2 1 2 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 63.559 * * * * [progress]: [ 226 / 226 ] simplifiying candidate # 63.559 * [simplify]: Simplifying (* 2 (* n PI)) 63.559 * * [simplify]: iters left: 4 (5 enodes) 63.560 * * [simplify]: iters left: 3 (19 enodes) 63.563 * * [simplify]: iters left: 2 (27 enodes) 63.568 * * [simplify]: iters left: 1 (32 enodes) 63.576 * * [simplify]: Extracting #0: cost 1 inf + 0 63.576 * * [simplify]: Extracting #1: cost 8 inf + 0 63.576 * * [simplify]: Extracting #2: cost 7 inf + 45 63.576 * * [simplify]: Extracting #3: cost 0 inf + 421 63.576 * [simplify]: Simplified to (* (* PI n) 2) 63.577 * [simplify]: Simplified (2 1 2 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) 63.577 * * * [progress]: adding candidates to table 67.015 * [progress]: [Phase 3 of 3] Extracting. 67.015 * * [regime]: Finding splitpoints for: (# # # # # # # #) 67.016 * * * [regime-changes]: Trying 3 branch expressions: (n (* (* 2 PI) n) k) 67.016 * * * * [regimes]: Trying to branch on n from (# # # # # # # #) 67.063 * * * * [regimes]: Trying to branch on (* (* 2 PI) n) from (# # # # # # # #) 67.122 * * * * [regimes]: Trying to branch on k from (# # # # # # # #) 67.180 * * * [regime]: Found split indices: #