0.002 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.250 * * * [progress]: [2/2] Setting up program. 0.254 * [progress]: [Phase 2 of 3] Improving. 0.254 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.254 * [simplify]: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 0.254 * * [simplify]: iters left: 6 (13 enodes) 0.258 * * [simplify]: iters left: 5 (57 enodes) 0.268 * * [simplify]: iters left: 4 (96 enodes) 0.285 * * [simplify]: iters left: 3 (172 enodes) 0.349 * * [simplify]: iters left: 2 (338 enodes) 0.446 * * [simplify]: Extracting #0: cost 1 inf + 0 0.446 * * [simplify]: Extracting #1: cost 41 inf + 0 0.447 * * [simplify]: Extracting #2: cost 120 inf + 1 0.448 * * [simplify]: Extracting #3: cost 166 inf + 127 0.449 * * [simplify]: Extracting #4: cost 166 inf + 467 0.453 * * [simplify]: Extracting #5: cost 119 inf + 9856 0.469 * * [simplify]: Extracting #6: cost 46 inf + 40838 0.491 * * [simplify]: Extracting #7: cost 4 inf + 73302 0.516 * * [simplify]: Extracting #8: cost 0 inf + 76897 0.540 * [simplify]: Simplified to (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 0.540 * [simplify]: Simplified (2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 0.554 * * [progress]: iteration 1 / 4 0.554 * * * [progress]: picking best candidate 0.564 * * * * [pick]: Picked # 0.565 * * * [progress]: localizing error 0.608 * * * [progress]: generating rewritten candidates 0.608 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.639 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.650 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.666 * * * [progress]: generating series expansions 0.666 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.666 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) 0.666 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0 0.666 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 0.666 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 0.666 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 0.666 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 0.666 * [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))) 0.667 * [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) 0.668 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.668 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.668 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.668 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.668 * [taylor]: Taking taylor expansion of 1/2 in n 0.668 * [backup-simplify]: Simplify 1/2 into 1/2 0.668 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.668 * [taylor]: Taking taylor expansion of 1 in n 0.668 * [backup-simplify]: Simplify 1 into 1 0.668 * [taylor]: Taking taylor expansion of k in n 0.668 * [backup-simplify]: Simplify k into k 0.668 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.668 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.668 * [taylor]: Taking taylor expansion of 2 in n 0.668 * [backup-simplify]: Simplify 2 into 2 0.668 * [taylor]: Taking taylor expansion of (* n PI) in n 0.668 * [taylor]: Taking taylor expansion of n in n 0.668 * [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 0.675 * [backup-simplify]: Simplify 0 into 0 0.675 * [backup-simplify]: Simplify 1 into 1 0.675 * [taylor]: Taking taylor expansion of PI in n 0.675 * [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) 0.678 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.678 * [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)) 0.679 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.679 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 0.680 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0.680 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 0.680 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 0.680 * [taylor]: Taking taylor expansion of 1/2 in k 0.680 * [backup-simplify]: Simplify 1/2 into 1/2 0.680 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 0.680 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.680 * [taylor]: Taking taylor expansion of 1 in k 0.680 * [backup-simplify]: Simplify 1 into 1 0.680 * [taylor]: Taking taylor expansion of k in k 0.680 * [backup-simplify]: Simplify 0 into 0 0.680 * [backup-simplify]: Simplify 1 into 1 0.680 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 0.680 * [taylor]: Taking taylor expansion of (log n) in k 0.680 * [taylor]: Taking taylor expansion of n in k 0.680 * [backup-simplify]: Simplify n into n 0.680 * [backup-simplify]: Simplify (log n) into (log n) 0.680 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.680 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.680 * [taylor]: Taking taylor expansion of 2 in k 0.680 * [backup-simplify]: Simplify 2 into 2 0.680 * [taylor]: Taking taylor expansion of PI in k 0.680 * [backup-simplify]: Simplify PI into PI 0.681 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.681 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.681 * [backup-simplify]: Simplify (- 0) into 0 0.682 * [backup-simplify]: Simplify (+ 1 0) into 1 0.682 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.683 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 0.684 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 0.685 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0.685 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0.687 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 0.687 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 0.688 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.688 * [backup-simplify]: Simplify (- 0) into 0 0.689 * [backup-simplify]: Simplify (+ 0 0) into 0 0.689 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 0.690 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.690 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 0.692 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.692 * [taylor]: Taking taylor expansion of 0 in k 0.692 * [backup-simplify]: Simplify 0 into 0 0.692 * [backup-simplify]: Simplify 0 into 0 0.692 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 0.693 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 0.694 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.694 * [backup-simplify]: Simplify (+ 0 0) into 0 0.694 * [backup-simplify]: Simplify (- 1) into -1 0.694 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.695 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 0.697 * [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))))) 0.700 * [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))))))) 0.707 * [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))))))) 0.709 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 0.710 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 0.714 * [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 0.714 * [backup-simplify]: Simplify (- 0) into 0 0.715 * [backup-simplify]: Simplify (+ 0 0) into 0 0.716 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 0.717 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.719 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.721 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.721 * [taylor]: Taking taylor expansion of 0 in k 0.721 * [backup-simplify]: Simplify 0 into 0 0.721 * [backup-simplify]: Simplify 0 into 0 0.721 * [backup-simplify]: Simplify 0 into 0 0.723 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 0.725 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 0.728 * [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 0.728 * [backup-simplify]: Simplify (+ 0 0) into 0 0.729 * [backup-simplify]: Simplify (- 0) into 0 0.729 * [backup-simplify]: Simplify (+ 0 0) into 0 0.731 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.733 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.737 * [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))))) 0.742 * [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))))) 0.752 * [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))))) 0.753 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) 0.753 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 0.753 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 0.753 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 0.753 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 0.753 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 0.753 * [taylor]: Taking taylor expansion of 1/2 in k 0.753 * [backup-simplify]: Simplify 1/2 into 1/2 0.753 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 0.753 * [taylor]: Taking taylor expansion of 1 in k 0.753 * [backup-simplify]: Simplify 1 into 1 0.753 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.753 * [taylor]: Taking taylor expansion of k in k 0.753 * [backup-simplify]: Simplify 0 into 0 0.753 * [backup-simplify]: Simplify 1 into 1 0.753 * [backup-simplify]: Simplify (/ 1 1) into 1 0.754 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 0.754 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 0.754 * [taylor]: Taking taylor expansion of 2 in k 0.754 * [backup-simplify]: Simplify 2 into 2 0.754 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.754 * [taylor]: Taking taylor expansion of PI in k 0.754 * [backup-simplify]: Simplify PI into PI 0.754 * [taylor]: Taking taylor expansion of n in k 0.754 * [backup-simplify]: Simplify n into n 0.754 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 0.754 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 0.754 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 0.755 * [backup-simplify]: Simplify (- 1) into -1 0.755 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.756 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 0.756 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 0.756 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 0.756 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 0.756 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 0.756 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 0.756 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 0.756 * [taylor]: Taking taylor expansion of 1/2 in n 0.756 * [backup-simplify]: Simplify 1/2 into 1/2 0.756 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 0.756 * [taylor]: Taking taylor expansion of 1 in n 0.756 * [backup-simplify]: Simplify 1 into 1 0.756 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.756 * [taylor]: Taking taylor expansion of k in n 0.756 * [backup-simplify]: Simplify k into k 0.756 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.756 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 0.756 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.756 * [taylor]: Taking taylor expansion of 2 in n 0.756 * [backup-simplify]: Simplify 2 into 2 0.757 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.757 * [taylor]: Taking taylor expansion of PI in n 0.757 * [backup-simplify]: Simplify PI into PI 0.757 * [taylor]: Taking taylor expansion of n in n 0.757 * [backup-simplify]: Simplify 0 into 0 0.757 * [backup-simplify]: Simplify 1 into 1 0.757 * [backup-simplify]: Simplify (/ PI 1) into PI 0.758 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.759 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.759 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 0.759 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 0.759 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 0.760 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.762 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 0.763 * [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))))) 0.763 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 0.763 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 0.763 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 0.763 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 0.763 * [taylor]: Taking taylor expansion of 1/2 in n 0.763 * [backup-simplify]: Simplify 1/2 into 1/2 0.763 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 0.763 * [taylor]: Taking taylor expansion of 1 in n 0.763 * [backup-simplify]: Simplify 1 into 1 0.763 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.764 * [taylor]: Taking taylor expansion of k in n 0.764 * [backup-simplify]: Simplify k into k 0.764 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.764 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 0.764 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.764 * [taylor]: Taking taylor expansion of 2 in n 0.764 * [backup-simplify]: Simplify 2 into 2 0.764 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.764 * [taylor]: Taking taylor expansion of PI in n 0.764 * [backup-simplify]: Simplify PI into PI 0.764 * [taylor]: Taking taylor expansion of n in n 0.764 * [backup-simplify]: Simplify 0 into 0 0.764 * [backup-simplify]: Simplify 1 into 1 0.764 * [backup-simplify]: Simplify (/ PI 1) into PI 0.765 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.766 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.766 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 0.766 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 0.766 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 0.768 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.769 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 0.770 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0.770 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 0.770 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 0.770 * [taylor]: Taking taylor expansion of 1/2 in k 0.770 * [backup-simplify]: Simplify 1/2 into 1/2 0.770 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 0.770 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 0.770 * [taylor]: Taking taylor expansion of 1 in k 0.770 * [backup-simplify]: Simplify 1 into 1 0.770 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.770 * [taylor]: Taking taylor expansion of k in k 0.770 * [backup-simplify]: Simplify 0 into 0 0.770 * [backup-simplify]: Simplify 1 into 1 0.771 * [backup-simplify]: Simplify (/ 1 1) into 1 0.771 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 0.771 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.771 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.771 * [taylor]: Taking taylor expansion of 2 in k 0.771 * [backup-simplify]: Simplify 2 into 2 0.771 * [taylor]: Taking taylor expansion of PI in k 0.771 * [backup-simplify]: Simplify PI into PI 0.771 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.772 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.772 * [taylor]: Taking taylor expansion of (log n) in k 0.772 * [taylor]: Taking taylor expansion of n in k 0.772 * [backup-simplify]: Simplify n into n 0.772 * [backup-simplify]: Simplify (log n) into (log n) 0.773 * [backup-simplify]: Simplify (- 1) into -1 0.773 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.773 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 0.774 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 0.775 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 0.777 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 0.778 * [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))))) 0.779 * [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))))) 0.780 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.781 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 0.783 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.783 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.783 * [backup-simplify]: Simplify (- 0) into 0 0.784 * [backup-simplify]: Simplify (+ 0 0) into 0 0.784 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 0.785 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.785 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 0.787 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.787 * [taylor]: Taking taylor expansion of 0 in k 0.787 * [backup-simplify]: Simplify 0 into 0 0.787 * [backup-simplify]: Simplify 0 into 0 0.787 * [backup-simplify]: Simplify 0 into 0 0.787 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.788 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 0.790 * [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 0.790 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.790 * [backup-simplify]: Simplify (- 0) into 0 0.790 * [backup-simplify]: Simplify (+ 0 0) into 0 0.791 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 0.792 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.793 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 0.794 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.794 * [taylor]: Taking taylor expansion of 0 in k 0.794 * [backup-simplify]: Simplify 0 into 0 0.794 * [backup-simplify]: Simplify 0 into 0 0.794 * [backup-simplify]: Simplify 0 into 0 0.794 * [backup-simplify]: Simplify 0 into 0 0.795 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.796 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.799 * [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 0.799 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.799 * [backup-simplify]: Simplify (- 0) into 0 0.799 * [backup-simplify]: Simplify (+ 0 0) into 0 0.800 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 0.801 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.802 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 0.804 * [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 0.804 * [taylor]: Taking taylor expansion of 0 in k 0.804 * [backup-simplify]: Simplify 0 into 0 0.804 * [backup-simplify]: Simplify 0 into 0 0.805 * [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)))))) 0.805 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) 0.805 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 0.805 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 0.805 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 0.805 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 0.805 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 0.805 * [taylor]: Taking taylor expansion of 1/2 in k 0.805 * [backup-simplify]: Simplify 1/2 into 1/2 0.805 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 0.805 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.805 * [taylor]: Taking taylor expansion of k in k 0.805 * [backup-simplify]: Simplify 0 into 0 0.805 * [backup-simplify]: Simplify 1 into 1 0.806 * [backup-simplify]: Simplify (/ 1 1) into 1 0.806 * [taylor]: Taking taylor expansion of 1 in k 0.806 * [backup-simplify]: Simplify 1 into 1 0.806 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 0.806 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 0.806 * [taylor]: Taking taylor expansion of -2 in k 0.806 * [backup-simplify]: Simplify -2 into -2 0.806 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.806 * [taylor]: Taking taylor expansion of PI in k 0.806 * [backup-simplify]: Simplify PI into PI 0.806 * [taylor]: Taking taylor expansion of n in k 0.806 * [backup-simplify]: Simplify n into n 0.806 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 0.806 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 0.806 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 0.806 * [backup-simplify]: Simplify (+ 1 0) into 1 0.807 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.807 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 0.807 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 0.807 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 0.807 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 0.807 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 0.807 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 0.807 * [taylor]: Taking taylor expansion of 1/2 in n 0.807 * [backup-simplify]: Simplify 1/2 into 1/2 0.807 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 0.807 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.807 * [taylor]: Taking taylor expansion of k in n 0.807 * [backup-simplify]: Simplify k into k 0.807 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.807 * [taylor]: Taking taylor expansion of 1 in n 0.807 * [backup-simplify]: Simplify 1 into 1 0.807 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 0.807 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.807 * [taylor]: Taking taylor expansion of -2 in n 0.807 * [backup-simplify]: Simplify -2 into -2 0.807 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.807 * [taylor]: Taking taylor expansion of PI in n 0.807 * [backup-simplify]: Simplify PI into PI 0.807 * [taylor]: Taking taylor expansion of n in n 0.807 * [backup-simplify]: Simplify 0 into 0 0.807 * [backup-simplify]: Simplify 1 into 1 0.808 * [backup-simplify]: Simplify (/ PI 1) into PI 0.808 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.809 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 0.809 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 0.809 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 0.809 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.810 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 0.811 * [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))))) 0.811 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 0.811 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 0.811 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 0.811 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 0.811 * [taylor]: Taking taylor expansion of 1/2 in n 0.811 * [backup-simplify]: Simplify 1/2 into 1/2 0.811 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 0.811 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.811 * [taylor]: Taking taylor expansion of k in n 0.811 * [backup-simplify]: Simplify k into k 0.811 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.811 * [taylor]: Taking taylor expansion of 1 in n 0.811 * [backup-simplify]: Simplify 1 into 1 0.811 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 0.811 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.811 * [taylor]: Taking taylor expansion of -2 in n 0.811 * [backup-simplify]: Simplify -2 into -2 0.811 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.811 * [taylor]: Taking taylor expansion of PI in n 0.811 * [backup-simplify]: Simplify PI into PI 0.811 * [taylor]: Taking taylor expansion of n in n 0.811 * [backup-simplify]: Simplify 0 into 0 0.811 * [backup-simplify]: Simplify 1 into 1 0.812 * [backup-simplify]: Simplify (/ PI 1) into PI 0.812 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.812 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 0.813 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 0.813 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 0.813 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.814 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 0.815 * [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))))) 0.815 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 0.815 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 0.815 * [taylor]: Taking taylor expansion of 1/2 in k 0.815 * [backup-simplify]: Simplify 1/2 into 1/2 0.815 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 0.815 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 0.815 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.815 * [taylor]: Taking taylor expansion of k in k 0.815 * [backup-simplify]: Simplify 0 into 0 0.815 * [backup-simplify]: Simplify 1 into 1 0.815 * [backup-simplify]: Simplify (/ 1 1) into 1 0.815 * [taylor]: Taking taylor expansion of 1 in k 0.815 * [backup-simplify]: Simplify 1 into 1 0.815 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 0.815 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 0.815 * [taylor]: Taking taylor expansion of (* -2 PI) in k 0.815 * [taylor]: Taking taylor expansion of -2 in k 0.815 * [backup-simplify]: Simplify -2 into -2 0.815 * [taylor]: Taking taylor expansion of PI in k 0.815 * [backup-simplify]: Simplify PI into PI 0.816 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.817 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 0.817 * [taylor]: Taking taylor expansion of (log n) in k 0.817 * [taylor]: Taking taylor expansion of n in k 0.817 * [backup-simplify]: Simplify n into n 0.817 * [backup-simplify]: Simplify (log n) into (log n) 0.817 * [backup-simplify]: Simplify (+ 1 0) into 1 0.817 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 0.818 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 0.820 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 0.821 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 0.822 * [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))))) 0.823 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 0.824 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.824 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 0.826 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 0.826 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.827 * [backup-simplify]: Simplify (+ 0 0) into 0 0.827 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 0.829 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.833 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 0.835 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.835 * [taylor]: Taking taylor expansion of 0 in k 0.835 * [backup-simplify]: Simplify 0 into 0 0.836 * [backup-simplify]: Simplify 0 into 0 0.836 * [backup-simplify]: Simplify 0 into 0 0.837 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.838 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 0.841 * [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 0.841 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.842 * [backup-simplify]: Simplify (+ 0 0) into 0 0.842 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 0.844 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.845 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 0.847 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.848 * [taylor]: Taking taylor expansion of 0 in k 0.848 * [backup-simplify]: Simplify 0 into 0 0.848 * [backup-simplify]: Simplify 0 into 0 0.848 * [backup-simplify]: Simplify 0 into 0 0.848 * [backup-simplify]: Simplify 0 into 0 0.848 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.849 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.852 * [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 0.852 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.853 * [backup-simplify]: Simplify (+ 0 0) into 0 0.853 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 0.854 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.855 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 0.857 * [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 0.857 * [taylor]: Taking taylor expansion of 0 in k 0.857 * [backup-simplify]: Simplify 0 into 0 0.857 * [backup-simplify]: Simplify 0 into 0 0.858 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 0.858 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.858 * [backup-simplify]: Simplify (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) 0.858 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (n k) around 0 0.858 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 0.859 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 0.859 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 0.859 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 0.859 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 0.859 * [taylor]: Taking taylor expansion of 1/2 in k 0.859 * [backup-simplify]: Simplify 1/2 into 1/2 0.859 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.859 * [taylor]: Taking taylor expansion of 1 in k 0.859 * [backup-simplify]: Simplify 1 into 1 0.859 * [taylor]: Taking taylor expansion of k in k 0.859 * [backup-simplify]: Simplify 0 into 0 0.859 * [backup-simplify]: Simplify 1 into 1 0.859 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 0.859 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 0.859 * [taylor]: Taking taylor expansion of 2 in k 0.859 * [backup-simplify]: Simplify 2 into 2 0.859 * [taylor]: Taking taylor expansion of (* n PI) in k 0.859 * [taylor]: Taking taylor expansion of n in k 0.859 * [backup-simplify]: Simplify n into n 0.859 * [taylor]: Taking taylor expansion of PI in k 0.859 * [backup-simplify]: Simplify PI into PI 0.859 * [backup-simplify]: Simplify (* n PI) into (* n PI) 0.859 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 0.859 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 0.859 * [backup-simplify]: Simplify (- 0) into 0 0.859 * [backup-simplify]: Simplify (+ 1 0) into 1 0.860 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.860 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 0.860 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 0.860 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.860 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.860 * [taylor]: Taking taylor expansion of k in k 0.860 * [backup-simplify]: Simplify 0 into 0 0.860 * [backup-simplify]: Simplify 1 into 1 0.860 * [backup-simplify]: Simplify (/ 1 1) into 1 0.860 * [backup-simplify]: Simplify (sqrt 0) into 0 0.861 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.861 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 0.861 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.862 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.862 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.862 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.862 * [taylor]: Taking taylor expansion of 1/2 in n 0.862 * [backup-simplify]: Simplify 1/2 into 1/2 0.862 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.862 * [taylor]: Taking taylor expansion of 1 in n 0.862 * [backup-simplify]: Simplify 1 into 1 0.862 * [taylor]: Taking taylor expansion of k in n 0.862 * [backup-simplify]: Simplify k into k 0.862 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.862 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.862 * [taylor]: Taking taylor expansion of 2 in n 0.862 * [backup-simplify]: Simplify 2 into 2 0.862 * [taylor]: Taking taylor expansion of (* n PI) in n 0.862 * [taylor]: Taking taylor expansion of n in n 0.862 * [backup-simplify]: Simplify 0 into 0 0.862 * [backup-simplify]: Simplify 1 into 1 0.862 * [taylor]: Taking taylor expansion of PI in n 0.862 * [backup-simplify]: Simplify PI into PI 0.862 * [backup-simplify]: Simplify (* 0 PI) into 0 0.862 * [backup-simplify]: Simplify (* 2 0) into 0 0.863 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.864 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.865 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.865 * [backup-simplify]: Simplify (- k) into (- k) 0.865 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.865 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 0.866 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.866 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 0.867 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0.867 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.867 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.867 * [taylor]: Taking taylor expansion of k in n 0.867 * [backup-simplify]: Simplify k into k 0.867 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.867 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 0.867 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.867 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 0.867 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 0.867 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.867 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.867 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.867 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.867 * [taylor]: Taking taylor expansion of 1/2 in n 0.867 * [backup-simplify]: Simplify 1/2 into 1/2 0.867 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.867 * [taylor]: Taking taylor expansion of 1 in n 0.867 * [backup-simplify]: Simplify 1 into 1 0.867 * [taylor]: Taking taylor expansion of k in n 0.867 * [backup-simplify]: Simplify k into k 0.867 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.868 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.868 * [taylor]: Taking taylor expansion of 2 in n 0.868 * [backup-simplify]: Simplify 2 into 2 0.868 * [taylor]: Taking taylor expansion of (* n PI) in n 0.868 * [taylor]: Taking taylor expansion of n in n 0.868 * [backup-simplify]: Simplify 0 into 0 0.868 * [backup-simplify]: Simplify 1 into 1 0.868 * [taylor]: Taking taylor expansion of PI in n 0.868 * [backup-simplify]: Simplify PI into PI 0.868 * [backup-simplify]: Simplify (* 0 PI) into 0 0.868 * [backup-simplify]: Simplify (* 2 0) into 0 0.869 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.870 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.871 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.871 * [backup-simplify]: Simplify (- k) into (- k) 0.871 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.871 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 0.871 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.872 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 0.873 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0.873 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.873 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.873 * [taylor]: Taking taylor expansion of k in n 0.873 * [backup-simplify]: Simplify k into k 0.873 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.873 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 0.873 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.873 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 0.874 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) into (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) 0.874 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) in k 0.874 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 0.874 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 0.874 * [taylor]: Taking taylor expansion of 1/2 in k 0.874 * [backup-simplify]: Simplify 1/2 into 1/2 0.874 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 0.874 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.874 * [taylor]: Taking taylor expansion of 1 in k 0.874 * [backup-simplify]: Simplify 1 into 1 0.874 * [taylor]: Taking taylor expansion of k in k 0.874 * [backup-simplify]: Simplify 0 into 0 0.874 * [backup-simplify]: Simplify 1 into 1 0.874 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 0.874 * [taylor]: Taking taylor expansion of (log n) in k 0.874 * [taylor]: Taking taylor expansion of n in k 0.874 * [backup-simplify]: Simplify n into n 0.874 * [backup-simplify]: Simplify (log n) into (log n) 0.874 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.874 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.874 * [taylor]: Taking taylor expansion of 2 in k 0.874 * [backup-simplify]: Simplify 2 into 2 0.874 * [taylor]: Taking taylor expansion of PI in k 0.874 * [backup-simplify]: Simplify PI into PI 0.875 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.875 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.875 * [backup-simplify]: Simplify (- 0) into 0 0.876 * [backup-simplify]: Simplify (+ 1 0) into 1 0.876 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.877 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 0.878 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 0.878 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0.878 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.878 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.878 * [taylor]: Taking taylor expansion of k in k 0.878 * [backup-simplify]: Simplify 0 into 0 0.878 * [backup-simplify]: Simplify 1 into 1 0.879 * [backup-simplify]: Simplify (/ 1 1) into 1 0.879 * [backup-simplify]: Simplify (sqrt 0) into 0 0.880 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.881 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 0.881 * [backup-simplify]: Simplify 0 into 0 0.882 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 0.883 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 0.885 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.885 * [backup-simplify]: Simplify (- 0) into 0 0.886 * [backup-simplify]: Simplify (+ 0 0) into 0 0.886 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 0.888 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.889 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 0.891 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.892 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (* 0 (sqrt (/ 1 k)))) into 0 0.892 * [taylor]: Taking taylor expansion of 0 in k 0.892 * [backup-simplify]: Simplify 0 into 0 0.892 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 0.893 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 0.894 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.894 * [backup-simplify]: Simplify (+ 0 0) into 0 0.894 * [backup-simplify]: Simplify (- 1) into -1 0.895 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.895 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 0.897 * [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))))) 0.898 * [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))))))) 0.901 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0)) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0.901 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0.902 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.902 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 0.903 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 0.903 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 0.905 * [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 0.905 * [backup-simplify]: Simplify (- 0) into 0 0.906 * [backup-simplify]: Simplify (+ 0 0) into 0 0.906 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 0.907 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.908 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.909 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.910 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0 0.910 * [taylor]: Taking taylor expansion of 0 in k 0.910 * [backup-simplify]: Simplify 0 into 0 0.910 * [backup-simplify]: Simplify 0 into 0 0.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.913 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.914 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 0.914 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 0.916 * [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 0.916 * [backup-simplify]: Simplify (+ 0 0) into 0 0.917 * [backup-simplify]: Simplify (- 0) into 0 0.917 * [backup-simplify]: Simplify (+ 0 0) into 0 0.918 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.919 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.922 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) 0.929 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) +nan.0) (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) 0))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) 0.936 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) 0.936 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.938 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 0.939 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.941 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 0.947 * [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 0.947 * [backup-simplify]: Simplify (- 0) into 0 0.947 * [backup-simplify]: Simplify (+ 0 0) into 0 0.949 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 k))))) into 0 0.950 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.952 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 0.954 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.956 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0 0.956 * [taylor]: Taking taylor expansion of 0 in k 0.956 * [backup-simplify]: Simplify 0 into 0 0.956 * [backup-simplify]: Simplify 0 into 0 0.956 * [backup-simplify]: Simplify 0 into 0 0.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.962 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.965 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0 0.966 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.972 * [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 0.973 * [backup-simplify]: Simplify (+ 0 0) into 0 0.973 * [backup-simplify]: Simplify (- 0) into 0 0.974 * [backup-simplify]: Simplify (+ 0 0) into 0 0.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 0.978 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 0.984 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 3) 6)) (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (pow (log n) 2) (log (* 2 PI)))) (+ (* 1/16 (* (log n) (pow (log (* 2 PI)) 2))) (* 1/48 (pow (log (* 2 PI)) 3))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 1.001 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) +nan.0) (+ (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) +nan.0) (* (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (pow (log n) 2) (log (* 2 PI)))) (+ (* 1/16 (* (log n) (pow (log (* 2 PI)) 2))) (* 1/48 (pow (log (* 2 PI)) 3))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0)))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) 1.012 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) 1.030 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) (* k 1)) (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))))) into (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))))))))))))))))))) 1.031 * [backup-simplify]: Simplify (/ (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) (sqrt (/ 1 k))) into (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) 1.031 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (n k) around 0 1.031 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 1.031 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 1.031 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1.031 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1.031 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 1.031 * [taylor]: Taking taylor expansion of 1/2 in k 1.031 * [backup-simplify]: Simplify 1/2 into 1/2 1.031 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 1.031 * [taylor]: Taking taylor expansion of 1 in k 1.031 * [backup-simplify]: Simplify 1 into 1 1.031 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.031 * [taylor]: Taking taylor expansion of k in k 1.031 * [backup-simplify]: Simplify 0 into 0 1.031 * [backup-simplify]: Simplify 1 into 1 1.032 * [backup-simplify]: Simplify (/ 1 1) into 1 1.032 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1.032 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 1.032 * [taylor]: Taking taylor expansion of 2 in k 1.032 * [backup-simplify]: Simplify 2 into 2 1.032 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.032 * [taylor]: Taking taylor expansion of PI in k 1.032 * [backup-simplify]: Simplify PI into PI 1.032 * [taylor]: Taking taylor expansion of n in k 1.032 * [backup-simplify]: Simplify n into n 1.032 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.032 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1.032 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1.033 * [backup-simplify]: Simplify (- 1) into -1 1.033 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.034 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 1.034 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1.034 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 1.034 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.034 * [taylor]: Taking taylor expansion of k in k 1.034 * [backup-simplify]: Simplify 0 into 0 1.034 * [backup-simplify]: Simplify 1 into 1 1.035 * [backup-simplify]: Simplify (sqrt 0) into 0 1.036 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.036 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 1.036 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 1.036 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1.036 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1.036 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 1.036 * [taylor]: Taking taylor expansion of 1/2 in n 1.036 * [backup-simplify]: Simplify 1/2 into 1/2 1.036 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 1.036 * [taylor]: Taking taylor expansion of 1 in n 1.036 * [backup-simplify]: Simplify 1 into 1 1.036 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.036 * [taylor]: Taking taylor expansion of k in n 1.036 * [backup-simplify]: Simplify k into k 1.037 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.037 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.037 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.037 * [taylor]: Taking taylor expansion of 2 in n 1.037 * [backup-simplify]: Simplify 2 into 2 1.037 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.037 * [taylor]: Taking taylor expansion of PI in n 1.037 * [backup-simplify]: Simplify PI into PI 1.037 * [taylor]: Taking taylor expansion of n in n 1.037 * [backup-simplify]: Simplify 0 into 0 1.037 * [backup-simplify]: Simplify 1 into 1 1.037 * [backup-simplify]: Simplify (/ PI 1) into PI 1.038 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.039 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.039 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.039 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1.039 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 1.040 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.042 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 1.043 * [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))))) 1.043 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.043 * [taylor]: Taking taylor expansion of k in n 1.043 * [backup-simplify]: Simplify k into k 1.043 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 1.043 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 1.043 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 1.043 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 1.043 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1.043 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1.043 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 1.043 * [taylor]: Taking taylor expansion of 1/2 in n 1.043 * [backup-simplify]: Simplify 1/2 into 1/2 1.043 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 1.043 * [taylor]: Taking taylor expansion of 1 in n 1.043 * [backup-simplify]: Simplify 1 into 1 1.043 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.043 * [taylor]: Taking taylor expansion of k in n 1.043 * [backup-simplify]: Simplify k into k 1.043 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.043 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.043 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.043 * [taylor]: Taking taylor expansion of 2 in n 1.043 * [backup-simplify]: Simplify 2 into 2 1.043 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.043 * [taylor]: Taking taylor expansion of PI in n 1.043 * [backup-simplify]: Simplify PI into PI 1.043 * [taylor]: Taking taylor expansion of n in n 1.043 * [backup-simplify]: Simplify 0 into 0 1.043 * [backup-simplify]: Simplify 1 into 1 1.044 * [backup-simplify]: Simplify (/ PI 1) into PI 1.044 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.045 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.045 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.046 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1.046 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 1.047 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.048 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 1.049 * [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))))) 1.049 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.049 * [taylor]: Taking taylor expansion of k in n 1.049 * [backup-simplify]: Simplify k into k 1.049 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 1.049 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 1.051 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) into (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) 1.051 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) in k 1.051 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 1.051 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 1.051 * [taylor]: Taking taylor expansion of 1/2 in k 1.051 * [backup-simplify]: Simplify 1/2 into 1/2 1.051 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 1.051 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 1.051 * [taylor]: Taking taylor expansion of 1 in k 1.051 * [backup-simplify]: Simplify 1 into 1 1.051 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.051 * [taylor]: Taking taylor expansion of k in k 1.051 * [backup-simplify]: Simplify 0 into 0 1.051 * [backup-simplify]: Simplify 1 into 1 1.052 * [backup-simplify]: Simplify (/ 1 1) into 1 1.052 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1.052 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 1.052 * [taylor]: Taking taylor expansion of (* 2 PI) in k 1.052 * [taylor]: Taking taylor expansion of 2 in k 1.052 * [backup-simplify]: Simplify 2 into 2 1.052 * [taylor]: Taking taylor expansion of PI in k 1.052 * [backup-simplify]: Simplify PI into PI 1.052 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.054 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.054 * [taylor]: Taking taylor expansion of (log n) in k 1.054 * [taylor]: Taking taylor expansion of n in k 1.054 * [backup-simplify]: Simplify n into n 1.054 * [backup-simplify]: Simplify (log n) into (log n) 1.054 * [backup-simplify]: Simplify (- 1) into -1 1.055 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.055 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 1.056 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1.057 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 1.058 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1.059 * [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))))) 1.059 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.059 * [taylor]: Taking taylor expansion of k in k 1.059 * [backup-simplify]: Simplify 0 into 0 1.059 * [backup-simplify]: Simplify 1 into 1 1.060 * [backup-simplify]: Simplify (sqrt 0) into 0 1.061 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.062 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) into 0 1.063 * [backup-simplify]: Simplify 0 into 0 1.063 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.064 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 1.066 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1.066 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.067 * [backup-simplify]: Simplify (- 0) into 0 1.067 * [backup-simplify]: Simplify (+ 0 0) into 0 1.067 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 1.069 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.072 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1.074 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.075 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (* 0 (sqrt k))) into 0 1.075 * [taylor]: Taking taylor expansion of 0 in k 1.076 * [backup-simplify]: Simplify 0 into 0 1.076 * [backup-simplify]: Simplify 0 into 0 1.077 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 1.078 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 1.079 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1.080 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.081 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1.084 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 1.085 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.085 * [backup-simplify]: Simplify (- 0) into 0 1.085 * [backup-simplify]: Simplify (+ 0 0) into 0 1.086 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 1.088 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.089 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1.091 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.093 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0 1.093 * [taylor]: Taking taylor expansion of 0 in k 1.093 * [backup-simplify]: Simplify 0 into 0 1.093 * [backup-simplify]: Simplify 0 into 0 1.093 * [backup-simplify]: Simplify 0 into 0 1.096 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.098 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 1.099 * [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))))))) 1.100 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1.101 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.102 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.108 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 1.109 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.109 * [backup-simplify]: Simplify (- 0) into 0 1.110 * [backup-simplify]: Simplify (+ 0 0) into 0 1.111 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 1.112 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.113 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1.115 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.116 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0 1.116 * [taylor]: Taking taylor expansion of 0 in k 1.116 * [backup-simplify]: Simplify 0 into 0 1.116 * [backup-simplify]: Simplify 0 into 0 1.116 * [backup-simplify]: Simplify 0 into 0 1.116 * [backup-simplify]: Simplify 0 into 0 1.118 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.120 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 1.120 * [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))))))) 1.123 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3)))))))) 1.123 * [backup-simplify]: Simplify (/ (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) (sqrt (/ 1 (- k)))) into (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) 1.123 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (n k) around 0 1.123 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 1.123 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 1.123 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 1.123 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 1.123 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 1.123 * [taylor]: Taking taylor expansion of 1/2 in k 1.123 * [backup-simplify]: Simplify 1/2 into 1/2 1.123 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 1.123 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.123 * [taylor]: Taking taylor expansion of k in k 1.123 * [backup-simplify]: Simplify 0 into 0 1.123 * [backup-simplify]: Simplify 1 into 1 1.124 * [backup-simplify]: Simplify (/ 1 1) into 1 1.124 * [taylor]: Taking taylor expansion of 1 in k 1.124 * [backup-simplify]: Simplify 1 into 1 1.124 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1.124 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 1.124 * [taylor]: Taking taylor expansion of -2 in k 1.124 * [backup-simplify]: Simplify -2 into -2 1.124 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.124 * [taylor]: Taking taylor expansion of PI in k 1.124 * [backup-simplify]: Simplify PI into PI 1.124 * [taylor]: Taking taylor expansion of n in k 1.124 * [backup-simplify]: Simplify n into n 1.124 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.124 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1.124 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1.124 * [backup-simplify]: Simplify (+ 1 0) into 1 1.125 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.125 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1.125 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 1.125 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.125 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.125 * [taylor]: Taking taylor expansion of -1 in k 1.125 * [backup-simplify]: Simplify -1 into -1 1.125 * [taylor]: Taking taylor expansion of k in k 1.125 * [backup-simplify]: Simplify 0 into 0 1.125 * [backup-simplify]: Simplify 1 into 1 1.125 * [backup-simplify]: Simplify (/ -1 1) into -1 1.125 * [backup-simplify]: Simplify (sqrt 0) into 0 1.126 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.126 * [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))))) 1.126 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 1.126 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 1.126 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 1.126 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 1.126 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 1.126 * [taylor]: Taking taylor expansion of 1/2 in n 1.126 * [backup-simplify]: Simplify 1/2 into 1/2 1.126 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 1.126 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.126 * [taylor]: Taking taylor expansion of k in n 1.127 * [backup-simplify]: Simplify k into k 1.127 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.127 * [taylor]: Taking taylor expansion of 1 in n 1.127 * [backup-simplify]: Simplify 1 into 1 1.127 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.127 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.127 * [taylor]: Taking taylor expansion of -2 in n 1.127 * [backup-simplify]: Simplify -2 into -2 1.127 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.127 * [taylor]: Taking taylor expansion of PI in n 1.127 * [backup-simplify]: Simplify PI into PI 1.127 * [taylor]: Taking taylor expansion of n in n 1.127 * [backup-simplify]: Simplify 0 into 0 1.127 * [backup-simplify]: Simplify 1 into 1 1.127 * [backup-simplify]: Simplify (/ PI 1) into PI 1.127 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.128 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.128 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1.128 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 1.129 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.130 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 1.130 * [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))))) 1.130 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.130 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.130 * [taylor]: Taking taylor expansion of -1 in n 1.130 * [backup-simplify]: Simplify -1 into -1 1.130 * [taylor]: Taking taylor expansion of k in n 1.130 * [backup-simplify]: Simplify k into k 1.130 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 1.130 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1.130 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1.131 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1.131 * [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))) 1.131 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 1.131 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 1.131 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 1.131 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 1.131 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 1.131 * [taylor]: Taking taylor expansion of 1/2 in n 1.131 * [backup-simplify]: Simplify 1/2 into 1/2 1.131 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 1.131 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.131 * [taylor]: Taking taylor expansion of k in n 1.131 * [backup-simplify]: Simplify k into k 1.132 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.132 * [taylor]: Taking taylor expansion of 1 in n 1.132 * [backup-simplify]: Simplify 1 into 1 1.132 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.132 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.132 * [taylor]: Taking taylor expansion of -2 in n 1.132 * [backup-simplify]: Simplify -2 into -2 1.132 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.132 * [taylor]: Taking taylor expansion of PI in n 1.132 * [backup-simplify]: Simplify PI into PI 1.132 * [taylor]: Taking taylor expansion of n in n 1.132 * [backup-simplify]: Simplify 0 into 0 1.132 * [backup-simplify]: Simplify 1 into 1 1.132 * [backup-simplify]: Simplify (/ PI 1) into PI 1.132 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.133 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.133 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1.133 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 1.134 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.135 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 1.135 * [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))))) 1.135 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.135 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.135 * [taylor]: Taking taylor expansion of -1 in n 1.135 * [backup-simplify]: Simplify -1 into -1 1.135 * [taylor]: Taking taylor expansion of k in n 1.135 * [backup-simplify]: Simplify k into k 1.135 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 1.135 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1.135 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1.136 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1.136 * [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))) 1.136 * [taylor]: Taking taylor expansion of (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) in k 1.136 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 1.136 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 1.136 * [taylor]: Taking taylor expansion of 1/2 in k 1.136 * [backup-simplify]: Simplify 1/2 into 1/2 1.136 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 1.136 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 1.136 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.136 * [taylor]: Taking taylor expansion of k in k 1.136 * [backup-simplify]: Simplify 0 into 0 1.136 * [backup-simplify]: Simplify 1 into 1 1.137 * [backup-simplify]: Simplify (/ 1 1) into 1 1.137 * [taylor]: Taking taylor expansion of 1 in k 1.137 * [backup-simplify]: Simplify 1 into 1 1.137 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1.137 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 1.137 * [taylor]: Taking taylor expansion of (* -2 PI) in k 1.137 * [taylor]: Taking taylor expansion of -2 in k 1.137 * [backup-simplify]: Simplify -2 into -2 1.137 * [taylor]: Taking taylor expansion of PI in k 1.137 * [backup-simplify]: Simplify PI into PI 1.137 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.138 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.138 * [taylor]: Taking taylor expansion of (log n) in k 1.138 * [taylor]: Taking taylor expansion of n in k 1.138 * [backup-simplify]: Simplify n into n 1.138 * [backup-simplify]: Simplify (log n) into (log n) 1.138 * [backup-simplify]: Simplify (+ 1 0) into 1 1.138 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 1.139 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1.139 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 1.140 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1.141 * [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))))) 1.141 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.141 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.141 * [taylor]: Taking taylor expansion of -1 in k 1.141 * [backup-simplify]: Simplify -1 into -1 1.141 * [taylor]: Taking taylor expansion of k in k 1.141 * [backup-simplify]: Simplify 0 into 0 1.141 * [backup-simplify]: Simplify 1 into 1 1.141 * [backup-simplify]: Simplify (/ -1 1) into -1 1.141 * [backup-simplify]: Simplify (sqrt 0) into 0 1.142 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.143 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) 1.144 * [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)))))) 1.145 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.146 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 1.148 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1.148 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.148 * [backup-simplify]: Simplify (+ 0 0) into 0 1.149 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 1.150 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.151 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1.153 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.154 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0 1.154 * [taylor]: Taking taylor expansion of 0 in k 1.154 * [backup-simplify]: Simplify 0 into 0 1.154 * [backup-simplify]: Simplify 0 into 0 1.155 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.158 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.160 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) 1.161 * [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))))))) 1.162 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.163 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1.167 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0 1.167 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.168 * [backup-simplify]: Simplify (+ 0 0) into 0 1.169 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 1.170 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.172 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1.174 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.174 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.175 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1.177 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0 1.177 * [taylor]: Taking taylor expansion of 0 in k 1.177 * [backup-simplify]: Simplify 0 into 0 1.177 * [backup-simplify]: Simplify 0 into 0 1.177 * [backup-simplify]: Simplify 0 into 0 1.178 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.182 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.186 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) 1.187 * [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))))))) 1.191 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))))))) 1.191 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 1.194 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI)) 1.194 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1.194 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 1.194 * [taylor]: Taking taylor expansion of 2 in n 1.194 * [backup-simplify]: Simplify 2 into 2 1.194 * [taylor]: Taking taylor expansion of (* n PI) in n 1.194 * [taylor]: Taking taylor expansion of n in n 1.194 * [backup-simplify]: Simplify 0 into 0 1.194 * [backup-simplify]: Simplify 1 into 1 1.194 * [taylor]: Taking taylor expansion of PI in n 1.194 * [backup-simplify]: Simplify PI into PI 1.194 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 1.194 * [taylor]: Taking taylor expansion of 2 in n 1.194 * [backup-simplify]: Simplify 2 into 2 1.194 * [taylor]: Taking taylor expansion of (* n PI) in n 1.194 * [taylor]: Taking taylor expansion of n in n 1.194 * [backup-simplify]: Simplify 0 into 0 1.194 * [backup-simplify]: Simplify 1 into 1 1.194 * [taylor]: Taking taylor expansion of PI in n 1.194 * [backup-simplify]: Simplify PI into PI 1.195 * [backup-simplify]: Simplify (* 0 PI) into 0 1.196 * [backup-simplify]: Simplify (* 2 0) into 0 1.196 * [backup-simplify]: Simplify 0 into 0 1.197 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.199 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1.199 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.200 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1.201 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1.201 * [backup-simplify]: Simplify 0 into 0 1.202 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1.203 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1.203 * [backup-simplify]: Simplify 0 into 0 1.205 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1.206 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1.206 * [backup-simplify]: Simplify 0 into 0 1.208 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1.210 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1.210 * [backup-simplify]: Simplify 0 into 0 1.212 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1.214 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1.214 * [backup-simplify]: Simplify 0 into 0 1.216 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1.218 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1.218 * [backup-simplify]: Simplify 0 into 0 1.218 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1.219 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n)) 1.219 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1.219 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.219 * [taylor]: Taking taylor expansion of 2 in n 1.219 * [backup-simplify]: Simplify 2 into 2 1.219 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.219 * [taylor]: Taking taylor expansion of PI in n 1.219 * [backup-simplify]: Simplify PI into PI 1.219 * [taylor]: Taking taylor expansion of n in n 1.219 * [backup-simplify]: Simplify 0 into 0 1.219 * [backup-simplify]: Simplify 1 into 1 1.220 * [backup-simplify]: Simplify (/ PI 1) into PI 1.220 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.220 * [taylor]: Taking taylor expansion of 2 in n 1.220 * [backup-simplify]: Simplify 2 into 2 1.220 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.220 * [taylor]: Taking taylor expansion of PI in n 1.220 * [backup-simplify]: Simplify PI into PI 1.220 * [taylor]: Taking taylor expansion of n in n 1.220 * [backup-simplify]: Simplify 0 into 0 1.220 * [backup-simplify]: Simplify 1 into 1 1.220 * [backup-simplify]: Simplify (/ PI 1) into PI 1.221 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.221 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.222 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.223 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 1.223 * [backup-simplify]: Simplify 0 into 0 1.224 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.225 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1.225 * [backup-simplify]: Simplify 0 into 0 1.226 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.227 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.227 * [backup-simplify]: Simplify 0 into 0 1.228 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.230 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1.230 * [backup-simplify]: Simplify 0 into 0 1.231 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.233 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1.233 * [backup-simplify]: Simplify 0 into 0 1.234 * [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 1.236 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1.236 * [backup-simplify]: Simplify 0 into 0 1.236 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1.237 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n)) 1.237 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1.237 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.237 * [taylor]: Taking taylor expansion of -2 in n 1.237 * [backup-simplify]: Simplify -2 into -2 1.237 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.237 * [taylor]: Taking taylor expansion of PI in n 1.237 * [backup-simplify]: Simplify PI into PI 1.237 * [taylor]: Taking taylor expansion of n in n 1.237 * [backup-simplify]: Simplify 0 into 0 1.237 * [backup-simplify]: Simplify 1 into 1 1.238 * [backup-simplify]: Simplify (/ PI 1) into PI 1.238 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.238 * [taylor]: Taking taylor expansion of -2 in n 1.238 * [backup-simplify]: Simplify -2 into -2 1.238 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.238 * [taylor]: Taking taylor expansion of PI in n 1.238 * [backup-simplify]: Simplify PI into PI 1.238 * [taylor]: Taking taylor expansion of n in n 1.238 * [backup-simplify]: Simplify 0 into 0 1.238 * [backup-simplify]: Simplify 1 into 1 1.238 * [backup-simplify]: Simplify (/ PI 1) into PI 1.239 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.239 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.240 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.241 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 1.241 * [backup-simplify]: Simplify 0 into 0 1.242 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.243 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1.243 * [backup-simplify]: Simplify 0 into 0 1.244 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.245 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.245 * [backup-simplify]: Simplify 0 into 0 1.246 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.247 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1.248 * [backup-simplify]: Simplify 0 into 0 1.249 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.250 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1.250 * [backup-simplify]: Simplify 0 into 0 1.251 * [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 1.253 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1.253 * [backup-simplify]: Simplify 0 into 0 1.254 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1.254 * * * [progress]: simplifying candidates 1.254 * * * * [progress]: [ 1 / 133 ] simplifiying candidate # 1.254 * * * * [progress]: [ 2 / 133 ] simplifiying candidate # 1.254 * * * * [progress]: [ 3 / 133 ] simplifiying candidate # 1.254 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) 1.254 * * [simplify]: iters left: 6 (13 enodes) 1.262 * * [simplify]: iters left: 5 (54 enodes) 1.279 * * [simplify]: iters left: 4 (97 enodes) 1.306 * * [simplify]: iters left: 3 (250 enodes) 1.435 * * [simplify]: Extracting #0: cost 1 inf + 0 1.436 * * [simplify]: Extracting #1: cost 34 inf + 0 1.436 * * [simplify]: Extracting #2: cost 100 inf + 73 1.438 * * [simplify]: Extracting #3: cost 126 inf + 1867 1.444 * * [simplify]: Extracting #4: cost 46 inf + 20363 1.456 * * [simplify]: Extracting #5: cost 5 inf + 31901 1.471 * * [simplify]: Extracting #6: cost 0 inf + 33789 1.485 * [simplify]: Simplified to (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2) 1.485 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2)) (sqrt k))) 1.485 * * * * [progress]: [ 4 / 133 ] simplifiying candidate # 1.486 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) 1.486 * * [simplify]: iters left: 6 (12 enodes) 1.493 * * [simplify]: iters left: 5 (52 enodes) 1.510 * * [simplify]: iters left: 4 (90 enodes) 1.543 * * [simplify]: iters left: 3 (207 enodes) 1.655 * * [simplify]: Extracting #0: cost 1 inf + 0 1.655 * * [simplify]: Extracting #1: cost 29 inf + 0 1.655 * * [simplify]: Extracting #2: cost 88 inf + 73 1.656 * * [simplify]: Extracting #3: cost 117 inf + 443 1.658 * * [simplify]: Extracting #4: cost 77 inf + 5789 1.665 * * [simplify]: Extracting #5: cost 28 inf + 17508 1.677 * * [simplify]: Extracting #6: cost 0 inf + 26056 1.688 * [simplify]: Simplified to (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) 1.688 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2)) (sqrt k))) 1.689 * * * * [progress]: [ 5 / 133 ] simplifiying candidate # 1.689 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) 1.689 * * [simplify]: iters left: 6 (11 enodes) 1.696 * * [simplify]: iters left: 5 (51 enodes) 1.716 * * [simplify]: iters left: 4 (97 enodes) 1.750 * * [simplify]: iters left: 3 (201 enodes) 1.850 * * [simplify]: Extracting #0: cost 1 inf + 0 1.850 * * [simplify]: Extracting #1: cost 31 inf + 0 1.851 * * [simplify]: Extracting #2: cost 94 inf + 2 1.852 * * [simplify]: Extracting #3: cost 127 inf + 355 1.855 * * [simplify]: Extracting #4: cost 75 inf + 7402 1.861 * * [simplify]: Extracting #5: cost 31 inf + 16283 1.871 * * [simplify]: Extracting #6: cost 3 inf + 23308 1.880 * * [simplify]: Extracting #7: cost 0 inf + 24140 1.886 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) 1.886 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) (sqrt k))) 1.886 * * * * [progress]: [ 6 / 133 ] simplifiying candidate # 1.886 * * * * [progress]: [ 7 / 133 ] simplifiying candidate # 1.886 * [simplify]: Simplifying (* n (* 2 PI)) 1.886 * * [simplify]: iters left: 4 (5 enodes) 1.888 * * [simplify]: iters left: 3 (19 enodes) 1.891 * * [simplify]: iters left: 2 (27 enodes) 1.895 * * [simplify]: iters left: 1 (32 enodes) 1.899 * * [simplify]: Extracting #0: cost 1 inf + 0 1.899 * * [simplify]: Extracting #1: cost 8 inf + 0 1.899 * * [simplify]: Extracting #2: cost 7 inf + 45 1.899 * * [simplify]: Extracting #3: cost 0 inf + 421 1.899 * [simplify]: Simplified to (* (* PI 2) n) 1.899 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (sqrt k))) 1.899 * * * * [progress]: [ 8 / 133 ] simplifiying candidate # 1.900 * [simplify]: Simplifying (* n (* 2 PI)) 1.900 * * [simplify]: iters left: 4 (5 enodes) 1.901 * * [simplify]: iters left: 3 (19 enodes) 1.904 * * [simplify]: iters left: 2 (27 enodes) 1.908 * * [simplify]: iters left: 1 (32 enodes) 1.917 * * [simplify]: Extracting #0: cost 1 inf + 0 1.917 * * [simplify]: Extracting #1: cost 8 inf + 0 1.917 * * [simplify]: Extracting #2: cost 7 inf + 45 1.917 * * [simplify]: Extracting #3: cost 0 inf + 421 1.918 * [simplify]: Simplified to (* (* PI 2) n) 1.918 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (sqrt k))) 1.918 * * * * [progress]: [ 9 / 133 ] simplifiying candidate # 1.918 * [simplify]: Simplifying (* n (* 2 PI)) 1.918 * * [simplify]: iters left: 4 (5 enodes) 1.921 * * [simplify]: iters left: 3 (19 enodes) 1.925 * * [simplify]: iters left: 2 (27 enodes) 1.929 * * [simplify]: iters left: 1 (32 enodes) 1.933 * * [simplify]: Extracting #0: cost 1 inf + 0 1.933 * * [simplify]: Extracting #1: cost 8 inf + 0 1.933 * * [simplify]: Extracting #2: cost 7 inf + 45 1.934 * * [simplify]: Extracting #3: cost 0 inf + 421 1.934 * [simplify]: Simplified to (* (* PI 2) n) 1.934 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (sqrt k))) 1.934 * * * * [progress]: [ 10 / 133 ] simplifiying candidate # 1.934 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ k 2)) 1.934 * * [simplify]: iters left: 5 (8 enodes) 1.936 * * [simplify]: iters left: 4 (31 enodes) 1.944 * * [simplify]: iters left: 3 (51 enodes) 1.952 * * [simplify]: iters left: 2 (85 enodes) 1.969 * * [simplify]: iters left: 1 (152 enodes) 2.027 * * [simplify]: Extracting #0: cost 1 inf + 0 2.027 * * [simplify]: Extracting #1: cost 13 inf + 0 2.027 * * [simplify]: Extracting #2: cost 59 inf + 1 2.028 * * [simplify]: Extracting #3: cost 76 inf + 9 2.029 * * [simplify]: Extracting #4: cost 41 inf + 3303 2.032 * * [simplify]: Extracting #5: cost 16 inf + 10676 2.037 * * [simplify]: Extracting #6: cost 0 inf + 21028 2.043 * * [simplify]: Extracting #7: cost 0 inf + 20456 2.048 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 2.048 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt k))) 2.049 * * * * [progress]: [ 11 / 133 ] simplifiying candidate # 2.049 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2)) 2.049 * * [simplify]: iters left: 5 (6 enodes) 2.053 * * [simplify]: iters left: 4 (26 enodes) 2.064 * * [simplify]: iters left: 3 (35 enodes) 2.073 * * [simplify]: Extracting #0: cost 1 inf + 0 2.073 * * [simplify]: Extracting #1: cost 3 inf + 0 2.073 * * [simplify]: Extracting #2: cost 8 inf + 0 2.073 * * [simplify]: Extracting #3: cost 11 inf + 2 2.074 * * [simplify]: Extracting #4: cost 8 inf + 87 2.074 * * [simplify]: Extracting #5: cost 2 inf + 500 2.074 * * [simplify]: Extracting #6: cost 0 inf + 746 2.074 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2)) 2.074 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))) (sqrt k))) 2.074 * * * * [progress]: [ 12 / 133 ] simplifiying candidate # 2.074 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2)) 2.074 * * [simplify]: iters left: 5 (6 enodes) 2.077 * * [simplify]: iters left: 4 (26 enodes) 2.081 * * [simplify]: iters left: 3 (35 enodes) 2.086 * * [simplify]: Extracting #0: cost 1 inf + 0 2.087 * * [simplify]: Extracting #1: cost 3 inf + 0 2.087 * * [simplify]: Extracting #2: cost 8 inf + 0 2.087 * * [simplify]: Extracting #3: cost 11 inf + 2 2.087 * * [simplify]: Extracting #4: cost 8 inf + 87 2.087 * * [simplify]: Extracting #5: cost 2 inf + 460 2.087 * * [simplify]: Extracting #6: cost 0 inf + 666 2.087 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2)) 2.087 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))) (sqrt k))) 2.087 * * * * [progress]: [ 13 / 133 ] simplifiying candidate # 2.087 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2)) 2.088 * * [simplify]: iters left: 5 (7 enodes) 2.090 * * [simplify]: iters left: 4 (25 enodes) 2.094 * * [simplify]: iters left: 3 (30 enodes) 2.098 * * [simplify]: Extracting #0: cost 1 inf + 0 2.099 * * [simplify]: Extracting #1: cost 4 inf + 0 2.099 * * [simplify]: Extracting #2: cost 8 inf + 0 2.099 * * [simplify]: Extracting #3: cost 10 inf + 82 2.099 * * [simplify]: Extracting #4: cost 7 inf + 206 2.099 * * [simplify]: Extracting #5: cost 2 inf + 575 2.099 * * [simplify]: Extracting #6: cost 1 inf + 818 2.099 * * [simplify]: Extracting #7: cost 0 inf + 1061 2.099 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2)) 2.099 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))) (sqrt k))) 2.100 * * * * [progress]: [ 14 / 133 ] simplifiying candidate # 2.100 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2)) 2.100 * * [simplify]: iters left: 5 (7 enodes) 2.105 * * [simplify]: iters left: 4 (25 enodes) 2.113 * * [simplify]: iters left: 3 (30 enodes) 2.122 * * [simplify]: Extracting #0: cost 1 inf + 0 2.123 * * [simplify]: Extracting #1: cost 4 inf + 0 2.123 * * [simplify]: Extracting #2: cost 8 inf + 0 2.123 * * [simplify]: Extracting #3: cost 10 inf + 42 2.123 * * [simplify]: Extracting #4: cost 7 inf + 126 2.123 * * [simplify]: Extracting #5: cost 2 inf + 495 2.123 * * [simplify]: Extracting #6: cost 1 inf + 698 2.124 * * [simplify]: Extracting #7: cost 0 inf + 901 2.124 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2)) 2.124 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2))) (sqrt k))) 2.124 * * * * [progress]: [ 15 / 133 ] simplifiying candidate # 2.124 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2) 2.125 * * [simplify]: iters left: 5 (6 enodes) 2.128 * * [simplify]: iters left: 4 (22 enodes) 2.134 * * [simplify]: iters left: 3 (27 enodes) 2.138 * * [simplify]: Extracting #0: cost 1 inf + 0 2.138 * * [simplify]: Extracting #1: cost 4 inf + 0 2.138 * * [simplify]: Extracting #2: cost 5 inf + 1 2.138 * * [simplify]: Extracting #3: cost 9 inf + 1 2.138 * * [simplify]: Extracting #4: cost 8 inf + 3 2.138 * * [simplify]: Extracting #5: cost 4 inf + 169 2.138 * * [simplify]: Extracting #6: cost 1 inf + 576 2.139 * * [simplify]: Extracting #7: cost 0 inf + 739 2.139 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 2.139 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2)) (sqrt k))) 2.139 * * * * [progress]: [ 16 / 133 ] simplifiying candidate # 2.139 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2)) 2.139 * * [simplify]: iters left: 5 (7 enodes) 2.141 * * [simplify]: iters left: 4 (25 enodes) 2.145 * * [simplify]: iters left: 3 (30 enodes) 2.150 * * [simplify]: Extracting #0: cost 1 inf + 0 2.150 * * [simplify]: Extracting #1: cost 4 inf + 0 2.150 * * [simplify]: Extracting #2: cost 8 inf + 0 2.150 * * [simplify]: Extracting #3: cost 10 inf + 82 2.150 * * [simplify]: Extracting #4: cost 7 inf + 206 2.150 * * [simplify]: Extracting #5: cost 2 inf + 495 2.151 * * [simplify]: Extracting #6: cost 1 inf + 698 2.151 * * [simplify]: Extracting #7: cost 0 inf + 901 2.151 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2)) 2.151 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2))) (sqrt k))) 2.151 * * * * [progress]: [ 17 / 133 ] simplifiying candidate # 2.151 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2)) 2.151 * * [simplify]: iters left: 5 (7 enodes) 2.153 * * [simplify]: iters left: 4 (25 enodes) 2.158 * * [simplify]: iters left: 3 (30 enodes) 2.164 * * [simplify]: Extracting #0: cost 1 inf + 0 2.164 * * [simplify]: Extracting #1: cost 4 inf + 0 2.165 * * [simplify]: Extracting #2: cost 8 inf + 0 2.165 * * [simplify]: Extracting #3: cost 10 inf + 42 2.165 * * [simplify]: Extracting #4: cost 7 inf + 126 2.165 * * [simplify]: Extracting #5: cost 2 inf + 415 2.165 * * [simplify]: Extracting #6: cost 1 inf + 578 2.166 * * [simplify]: Extracting #7: cost 0 inf + 741 2.166 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2)) 2.166 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))) (sqrt k))) 2.166 * * * * [progress]: [ 18 / 133 ] simplifiying candidate # 2.166 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2) 2.167 * * [simplify]: iters left: 5 (6 enodes) 2.170 * * [simplify]: iters left: 4 (22 enodes) 2.177 * * [simplify]: iters left: 3 (27 enodes) 2.185 * * [simplify]: Extracting #0: cost 1 inf + 0 2.185 * * [simplify]: Extracting #1: cost 4 inf + 0 2.186 * * [simplify]: Extracting #2: cost 5 inf + 1 2.186 * * [simplify]: Extracting #3: cost 9 inf + 1 2.186 * * [simplify]: Extracting #4: cost 8 inf + 3 2.186 * * [simplify]: Extracting #5: cost 4 inf + 169 2.186 * * [simplify]: Extracting #6: cost 1 inf + 456 2.186 * * [simplify]: Extracting #7: cost 0 inf + 579 2.187 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 2.187 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)) (sqrt k))) 2.187 * * * * [progress]: [ 19 / 133 ] simplifiying candidate # 2.187 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 2.187 * * [simplify]: iters left: 4 (6 enodes) 2.191 * * [simplify]: iters left: 3 (25 enodes) 2.200 * * [simplify]: iters left: 2 (36 enodes) 2.211 * * [simplify]: iters left: 1 (40 enodes) 2.223 * * [simplify]: Extracting #0: cost 1 inf + 0 2.223 * * [simplify]: Extracting #1: cost 7 inf + 0 2.223 * * [simplify]: Extracting #2: cost 16 inf + 0 2.223 * * [simplify]: Extracting #3: cost 13 inf + 44 2.224 * * [simplify]: Extracting #4: cost 3 inf + 1103 2.224 * * [simplify]: Extracting #5: cost 0 inf + 1469 2.225 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 2.225 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (sqrt k))) 2.225 * * * * [progress]: [ 20 / 133 ] simplifiying candidate # 2.225 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 2.225 * * [simplify]: iters left: 4 (6 enodes) 2.229 * * [simplify]: iters left: 3 (25 enodes) 2.238 * * [simplify]: iters left: 2 (36 enodes) 2.249 * * [simplify]: iters left: 1 (40 enodes) 2.261 * * [simplify]: Extracting #0: cost 1 inf + 0 2.261 * * [simplify]: Extracting #1: cost 7 inf + 0 2.261 * * [simplify]: Extracting #2: cost 16 inf + 0 2.262 * * [simplify]: Extracting #3: cost 13 inf + 44 2.262 * * [simplify]: Extracting #4: cost 3 inf + 823 2.262 * * [simplify]: Extracting #5: cost 0 inf + 1069 2.263 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 2.263 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt k))) 2.263 * * * * [progress]: [ 21 / 133 ] simplifiying candidate # 2.263 * [simplify]: Simplifying (/ (- 1 k) 2) 2.263 * * [simplify]: iters left: 4 (5 enodes) 2.267 * * [simplify]: iters left: 3 (23 enodes) 2.275 * * [simplify]: iters left: 2 (32 enodes) 2.284 * * [simplify]: Extracting #0: cost 1 inf + 0 2.284 * * [simplify]: Extracting #1: cost 6 inf + 0 2.284 * * [simplify]: Extracting #2: cost 9 inf + 2 2.284 * * [simplify]: Extracting #3: cost 6 inf + 87 2.285 * * [simplify]: Extracting #4: cost 0 inf + 420 2.285 * [simplify]: Simplified to (/ (- 1 k) 2) 2.285 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (sqrt k))) 2.285 * * * * [progress]: [ 22 / 133 ] simplifiying candidate # 2.285 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2.286 * * [simplify]: iters left: 5 (8 enodes) 2.291 * * [simplify]: iters left: 4 (31 enodes) 2.301 * * [simplify]: iters left: 3 (45 enodes) 2.314 * * [simplify]: iters left: 2 (51 enodes) 2.329 * * [simplify]: iters left: 1 (52 enodes) 2.336 * * [simplify]: Extracting #0: cost 1 inf + 0 2.336 * * [simplify]: Extracting #1: cost 8 inf + 0 2.336 * * [simplify]: Extracting #2: cost 18 inf + 0 2.336 * * [simplify]: Extracting #3: cost 19 inf + 2 2.336 * * [simplify]: Extracting #4: cost 9 inf + 977 2.337 * * [simplify]: Extracting #5: cost 2 inf + 1790 2.337 * * [simplify]: Extracting #6: cost 0 inf + 2195 2.337 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 2.337 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (sqrt k))) 2.338 * * * * [progress]: [ 23 / 133 ] simplifiying candidate # 2.338 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2.338 * * [simplify]: iters left: 5 (8 enodes) 2.341 * * [simplify]: iters left: 4 (31 enodes) 2.346 * * [simplify]: iters left: 3 (45 enodes) 2.352 * * [simplify]: iters left: 2 (51 enodes) 2.363 * * [simplify]: iters left: 1 (52 enodes) 2.375 * * [simplify]: Extracting #0: cost 1 inf + 0 2.375 * * [simplify]: Extracting #1: cost 8 inf + 0 2.375 * * [simplify]: Extracting #2: cost 18 inf + 0 2.375 * * [simplify]: Extracting #3: cost 19 inf + 2 2.375 * * [simplify]: Extracting #4: cost 9 inf + 697 2.375 * * [simplify]: Extracting #5: cost 2 inf + 1390 2.376 * * [simplify]: Extracting #6: cost 0 inf + 1715 2.376 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 2.376 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (sqrt k))) 2.376 * * * * [progress]: [ 24 / 133 ] simplifiying candidate # 2.376 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 2.376 * * [simplify]: iters left: 5 (7 enodes) 2.379 * * [simplify]: iters left: 4 (29 enodes) 2.384 * * [simplify]: iters left: 3 (43 enodes) 2.390 * * [simplify]: iters left: 2 (47 enodes) 2.396 * * [simplify]: Extracting #0: cost 1 inf + 0 2.396 * * [simplify]: Extracting #1: cost 7 inf + 0 2.396 * * [simplify]: Extracting #2: cost 11 inf + 2 2.396 * * [simplify]: Extracting #3: cost 13 inf + 3 2.396 * * [simplify]: Extracting #4: cost 11 inf + 45 2.396 * * [simplify]: Extracting #5: cost 0 inf + 1066 2.396 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 2.397 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 2.397 * * * * [progress]: [ 25 / 133 ] simplifiying candidate # 2.397 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 2.397 * * [simplify]: iters left: 5 (7 enodes) 2.399 * * [simplify]: iters left: 4 (28 enodes) 2.405 * * [simplify]: iters left: 3 (39 enodes) 2.416 * * [simplify]: iters left: 2 (43 enodes) 2.422 * * [simplify]: Extracting #0: cost 1 inf + 0 2.422 * * [simplify]: Extracting #1: cost 7 inf + 0 2.422 * * [simplify]: Extracting #2: cost 16 inf + 0 2.422 * * [simplify]: Extracting #3: cost 15 inf + 164 2.422 * * [simplify]: Extracting #4: cost 13 inf + 287 2.422 * * [simplify]: Extracting #5: cost 5 inf + 1180 2.423 * * [simplify]: Extracting #6: cost 0 inf + 1951 2.423 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 2.423 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (sqrt k))) 2.423 * * * * [progress]: [ 26 / 133 ] simplifiying candidate # 2.423 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 2.423 * * [simplify]: iters left: 5 (7 enodes) 2.426 * * [simplify]: iters left: 4 (28 enodes) 2.431 * * [simplify]: iters left: 3 (39 enodes) 2.437 * * [simplify]: iters left: 2 (43 enodes) 2.443 * * [simplify]: Extracting #0: cost 1 inf + 0 2.444 * * [simplify]: Extracting #1: cost 7 inf + 0 2.444 * * [simplify]: Extracting #2: cost 16 inf + 0 2.444 * * [simplify]: Extracting #3: cost 15 inf + 84 2.444 * * [simplify]: Extracting #4: cost 13 inf + 167 2.444 * * [simplify]: Extracting #5: cost 5 inf + 900 2.444 * * [simplify]: Extracting #6: cost 0 inf + 1551 2.444 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 2.445 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (sqrt k))) 2.445 * * * * [progress]: [ 27 / 133 ] simplifiying candidate # 2.445 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 2.445 * * [simplify]: iters left: 5 (6 enodes) 2.447 * * [simplify]: iters left: 4 (26 enodes) 2.455 * * [simplify]: iters left: 3 (35 enodes) 2.466 * * [simplify]: Extracting #0: cost 1 inf + 0 2.466 * * [simplify]: Extracting #1: cost 6 inf + 0 2.466 * * [simplify]: Extracting #2: cost 9 inf + 2 2.466 * * [simplify]: Extracting #3: cost 11 inf + 3 2.466 * * [simplify]: Extracting #4: cost 10 inf + 4 2.467 * * [simplify]: Extracting #5: cost 3 inf + 535 2.467 * * [simplify]: Extracting #6: cost 0 inf + 822 2.467 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 2.467 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 2.468 * * * * [progress]: [ 28 / 133 ] simplifiying candidate # 2.468 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 2.468 * * [simplify]: iters left: 4 (6 enodes) 2.473 * * [simplify]: iters left: 3 (25 enodes) 2.482 * * [simplify]: iters left: 2 (36 enodes) 2.493 * * [simplify]: iters left: 1 (40 enodes) 2.504 * * [simplify]: Extracting #0: cost 1 inf + 0 2.504 * * [simplify]: Extracting #1: cost 7 inf + 0 2.505 * * [simplify]: Extracting #2: cost 16 inf + 0 2.505 * * [simplify]: Extracting #3: cost 13 inf + 44 2.505 * * [simplify]: Extracting #4: cost 3 inf + 1103 2.505 * * [simplify]: Extracting #5: cost 0 inf + 1469 2.506 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 2.506 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (sqrt k))) 2.506 * * * * [progress]: [ 29 / 133 ] simplifiying candidate # 2.506 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 2.507 * * [simplify]: iters left: 4 (6 enodes) 2.510 * * [simplify]: iters left: 3 (25 enodes) 2.515 * * [simplify]: iters left: 2 (36 enodes) 2.521 * * [simplify]: iters left: 1 (40 enodes) 2.527 * * [simplify]: Extracting #0: cost 1 inf + 0 2.527 * * [simplify]: Extracting #1: cost 7 inf + 0 2.529 * * [simplify]: Extracting #2: cost 16 inf + 0 2.529 * * [simplify]: Extracting #3: cost 13 inf + 44 2.529 * * [simplify]: Extracting #4: cost 3 inf + 823 2.529 * * [simplify]: Extracting #5: cost 0 inf + 1069 2.530 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 2.530 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt k))) 2.530 * * * * [progress]: [ 30 / 133 ] simplifiying candidate # 2.530 * [simplify]: Simplifying (/ (- 1 k) 2) 2.530 * * [simplify]: iters left: 4 (5 enodes) 2.533 * * [simplify]: iters left: 3 (23 enodes) 2.537 * * [simplify]: iters left: 2 (32 enodes) 2.542 * * [simplify]: Extracting #0: cost 1 inf + 0 2.542 * * [simplify]: Extracting #1: cost 6 inf + 0 2.542 * * [simplify]: Extracting #2: cost 9 inf + 2 2.542 * * [simplify]: Extracting #3: cost 6 inf + 87 2.542 * * [simplify]: Extracting #4: cost 0 inf + 420 2.542 * [simplify]: Simplified to (/ (- 1 k) 2) 2.542 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (sqrt k))) 2.542 * * * * [progress]: [ 31 / 133 ] simplifiying candidate # 2.543 * [simplify]: Simplifying (/ (- 1 k) 2) 2.543 * * [simplify]: iters left: 4 (5 enodes) 2.545 * * [simplify]: iters left: 3 (23 enodes) 2.549 * * [simplify]: iters left: 2 (32 enodes) 2.555 * * [simplify]: Extracting #0: cost 1 inf + 0 2.555 * * [simplify]: Extracting #1: cost 6 inf + 0 2.555 * * [simplify]: Extracting #2: cost 9 inf + 2 2.555 * * [simplify]: Extracting #3: cost 6 inf + 87 2.556 * * [simplify]: Extracting #4: cost 0 inf + 420 2.556 * [simplify]: Simplified to (/ (- 1 k) 2) 2.556 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (sqrt k))) 2.556 * * * * [progress]: [ 32 / 133 ] simplifiying candidate # 2.556 * [simplify]: Simplifying (/ 1 2) 2.556 * * [simplify]: iters left: 2 (3 enodes) 2.559 * * [simplify]: iters left: 1 (12 enodes) 2.564 * * [simplify]: Extracting #0: cost 1 inf + 0 2.564 * * [simplify]: Extracting #1: cost 0 inf + 1 2.564 * [simplify]: Simplified to 1/2 2.564 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (- 1 k)) 1/2) (sqrt k))) 2.564 * * * * [progress]: [ 33 / 133 ] simplifiying candidate # 2.564 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 2.564 * * [simplify]: iters left: 5 (7 enodes) 2.569 * * [simplify]: iters left: 4 (32 enodes) 2.578 * * [simplify]: iters left: 3 (57 enodes) 2.588 * * [simplify]: iters left: 2 (88 enodes) 2.604 * * [simplify]: iters left: 1 (156 enodes) 2.642 * * [simplify]: Extracting #0: cost 1 inf + 0 2.642 * * [simplify]: Extracting #1: cost 13 inf + 0 2.643 * * [simplify]: Extracting #2: cost 49 inf + 2 2.643 * * [simplify]: Extracting #3: cost 80 inf + 6 2.644 * * [simplify]: Extracting #4: cost 58 inf + 1840 2.647 * * [simplify]: Extracting #5: cost 22 inf + 9206 2.653 * * [simplify]: Extracting #6: cost 1 inf + 20886 2.659 * * [simplify]: Extracting #7: cost 0 inf + 21301 2.665 * * [simplify]: Extracting #8: cost 0 inf + 21130 2.670 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 2.670 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 2.671 * * * * [progress]: [ 34 / 133 ] simplifiying candidate # 2.671 * * * * [progress]: [ 35 / 133 ] simplifiying candidate # 2.671 * * * * [progress]: [ 36 / 133 ] simplifiying candidate # 2.671 * * * * [progress]: [ 37 / 133 ] simplifiying candidate # 2.671 * * * * [progress]: [ 38 / 133 ] simplifiying candidate # 2.671 * * * * [progress]: [ 39 / 133 ] simplifiying candidate # 2.671 * * * * [progress]: [ 40 / 133 ] simplifiying candidate # 2.671 * * * * [progress]: [ 41 / 133 ] simplifiying candidate # 2.671 * * * * [progress]: [ 42 / 133 ] simplifiying candidate #real (real->posit16 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k)))> 2.671 * * * * [progress]: [ 43 / 133 ] simplifiying candidate # 2.671 * * * * [progress]: [ 44 / 133 ] simplifiying candidate # 2.671 * * * * [progress]: [ 45 / 133 ] simplifiying candidate # 2.671 * * * * [progress]: [ 46 / 133 ] simplifiying candidate # 2.672 * [simplify]: Simplifying (- (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (log (sqrt k))) 2.672 * * [simplify]: iters left: 6 (16 enodes) 2.680 * * [simplify]: iters left: 5 (66 enodes) 2.702 * * [simplify]: iters left: 4 (113 enodes) 2.735 * * [simplify]: iters left: 3 (306 enodes) 2.845 * * [simplify]: Extracting #0: cost 1 inf + 0 2.846 * * [simplify]: Extracting #1: cost 33 inf + 0 2.846 * * [simplify]: Extracting #2: cost 89 inf + 0 2.846 * * [simplify]: Extracting #3: cost 132 inf + 603 2.848 * * [simplify]: Extracting #4: cost 115 inf + 7823 2.855 * * [simplify]: Extracting #5: cost 21 inf + 36693 2.864 * * [simplify]: Extracting #6: cost 0 inf + 43786 2.877 * * [simplify]: Extracting #7: cost 0 inf + 43785 2.900 * [simplify]: Simplified to (- (/ (- (+ (log PI) (+ (log n) (log 2))) (* k (+ (log PI) (+ (log n) (log 2))))) 2) (log (sqrt k))) 2.900 * [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))))) 2.901 * * * * [progress]: [ 47 / 133 ] simplifiying candidate # 2.901 * [simplify]: Simplifying (- (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k))) 2.901 * * [simplify]: iters left: 6 (15 enodes) 2.910 * * [simplify]: iters left: 5 (64 enodes) 2.924 * * [simplify]: iters left: 4 (106 enodes) 2.945 * * [simplify]: iters left: 3 (247 enodes) 3.049 * * [simplify]: Extracting #0: cost 1 inf + 0 3.049 * * [simplify]: Extracting #1: cost 29 inf + 0 3.050 * * [simplify]: Extracting #2: cost 82 inf + 0 3.050 * * [simplify]: Extracting #3: cost 122 inf + 147 3.051 * * [simplify]: Extracting #4: cost 128 inf + 2275 3.054 * * [simplify]: Extracting #5: cost 42 inf + 21718 3.067 * * [simplify]: Extracting #6: cost 4 inf + 33778 3.082 * * [simplify]: Extracting #7: cost 0 inf + 35144 3.097 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))) 3.097 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))))) 3.100 * * * * [progress]: [ 48 / 133 ] simplifiying candidate # 3.101 * [simplify]: Simplifying (- (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k))) 3.101 * * [simplify]: iters left: 6 (14 enodes) 3.109 * * [simplify]: iters left: 5 (63 enodes) 3.130 * * [simplify]: iters left: 4 (113 enodes) 3.170 * * [simplify]: iters left: 3 (229 enodes) 3.254 * * [simplify]: Extracting #0: cost 1 inf + 0 3.254 * * [simplify]: Extracting #1: cost 23 inf + 0 3.255 * * [simplify]: Extracting #2: cost 83 inf + 0 3.255 * * [simplify]: Extracting #3: cost 120 inf + 284 3.256 * * [simplify]: Extracting #4: cost 111 inf + 4879 3.261 * * [simplify]: Extracting #5: cost 26 inf + 24636 3.275 * * [simplify]: Extracting #6: cost 0 inf + 31546 3.288 * * [simplify]: Extracting #7: cost 0 inf + 31046 3.301 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 3.301 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 3.301 * * * * [progress]: [ 49 / 133 ] simplifiying candidate # 3.301 * [simplify]: Simplifying (- (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k))) 3.302 * * [simplify]: iters left: 6 (14 enodes) 3.309 * * [simplify]: iters left: 5 (63 enodes) 3.330 * * [simplify]: iters left: 4 (113 enodes) 3.353 * * [simplify]: iters left: 3 (229 enodes) 3.451 * * [simplify]: Extracting #0: cost 1 inf + 0 3.451 * * [simplify]: Extracting #1: cost 23 inf + 0 3.452 * * [simplify]: Extracting #2: cost 83 inf + 0 3.452 * * [simplify]: Extracting #3: cost 120 inf + 284 3.453 * * [simplify]: Extracting #4: cost 111 inf + 4879 3.457 * * [simplify]: Extracting #5: cost 26 inf + 24636 3.464 * * [simplify]: Extracting #6: cost 0 inf + 31546 3.470 * * [simplify]: Extracting #7: cost 0 inf + 31046 3.483 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 3.483 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 3.483 * * * * [progress]: [ 50 / 133 ] simplifiying candidate # 3.484 * [simplify]: Simplifying (- (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (log (sqrt k))) 3.484 * * [simplify]: iters left: 6 (14 enodes) 3.492 * * [simplify]: iters left: 5 (61 enodes) 3.507 * * [simplify]: iters left: 4 (112 enodes) 3.527 * * [simplify]: iters left: 3 (219 enodes) 3.589 * * [simplify]: Extracting #0: cost 1 inf + 0 3.589 * * [simplify]: Extracting #1: cost 24 inf + 0 3.589 * * [simplify]: Extracting #2: cost 109 inf + 0 3.590 * * [simplify]: Extracting #3: cost 171 inf + 75 3.590 * * [simplify]: Extracting #4: cost 167 inf + 904 3.593 * * [simplify]: Extracting #5: cost 91 inf + 14562 3.599 * * [simplify]: Extracting #6: cost 10 inf + 36286 3.605 * * [simplify]: Extracting #7: cost 0 inf + 40306 3.614 * [simplify]: Simplified to (- (* (log (* (* PI 2) n)) (/ (- 1 k) 2)) (log (sqrt k))) 3.614 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* PI 2) n)) (/ (- 1 k) 2)) (log (sqrt k))))) 3.615 * * * * [progress]: [ 51 / 133 ] simplifiying candidate # 3.615 * * * * [progress]: [ 52 / 133 ] simplifiying candidate # 3.615 * * * * [progress]: [ 53 / 133 ] simplifiying candidate # 3.615 * [simplify]: Simplifying (/ (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (* (sqrt k) (sqrt k)) (sqrt k))) 3.615 * * [simplify]: iters left: 6 (16 enodes) 3.620 * * [simplify]: iters left: 5 (72 enodes) 3.642 * * [simplify]: iters left: 4 (165 enodes) 3.700 * * [simplify]: iters left: 3 (474 enodes) 3.940 * * [simplify]: Extracting #0: cost 1 inf + 0 3.941 * * [simplify]: Extracting #1: cost 172 inf + 0 3.943 * * [simplify]: Extracting #2: cost 449 inf + 1 3.947 * * [simplify]: Extracting #3: cost 500 inf + 248 3.952 * * [simplify]: Extracting #4: cost 485 inf + 2081 3.963 * * [simplify]: Extracting #5: cost 365 inf + 63723 3.996 * * [simplify]: Extracting #6: cost 66 inf + 281431 4.055 * * [simplify]: Extracting #7: cost 0 inf + 324121 4.115 * * [simplify]: Extracting #8: cost 0 inf + 321869 4.177 * [simplify]: Simplified to (/ (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ k (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 4.177 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (/ (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ k (pow (* (* PI 2) n) (/ (- 1 k) 2)))))) 4.178 * * * * [progress]: [ 54 / 133 ] simplifiying candidate # 4.178 * * * * [progress]: [ 55 / 133 ] simplifiying candidate # 4.178 * * * * [progress]: [ 56 / 133 ] simplifiying candidate # 4.178 * * * * [progress]: [ 57 / 133 ] simplifiying candidate # 4.178 * * * * [progress]: [ 58 / 133 ] simplifiying candidate # 4.178 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 4.178 * * [simplify]: iters left: 6 (11 enodes) 4.185 * * [simplify]: iters left: 5 (46 enodes) 4.200 * * [simplify]: iters left: 4 (79 enodes) 4.213 * * [simplify]: iters left: 3 (135 enodes) 4.249 * * [simplify]: iters left: 2 (270 enodes) 4.338 * * [simplify]: Extracting #0: cost 1 inf + 0 4.338 * * [simplify]: Extracting #1: cost 56 inf + 0 4.339 * * [simplify]: Extracting #2: cost 151 inf + 0 4.339 * * [simplify]: Extracting #3: cost 211 inf + 3 4.341 * * [simplify]: Extracting #4: cost 182 inf + 8248 4.345 * * [simplify]: Extracting #5: cost 108 inf + 32321 4.354 * * [simplify]: Extracting #6: cost 40 inf + 73343 4.380 * * [simplify]: Extracting #7: cost 0 inf + 103841 4.406 * * [simplify]: Extracting #8: cost 0 inf + 103639 4.433 * * [simplify]: Extracting #9: cost 0 inf + 103517 4.455 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 4.455 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k))))) 4.456 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k))) 4.456 * * [simplify]: iters left: 6 (11 enodes) 4.459 * * [simplify]: iters left: 5 (45 enodes) 4.467 * * [simplify]: iters left: 4 (68 enodes) 4.480 * * [simplify]: iters left: 3 (110 enodes) 4.523 * * [simplify]: iters left: 2 (217 enodes) 4.590 * * [simplify]: iters left: 1 (458 enodes) 4.805 * * [simplify]: Extracting #0: cost 1 inf + 0 4.805 * * [simplify]: Extracting #1: cost 45 inf + 0 4.806 * * [simplify]: Extracting #2: cost 132 inf + 0 4.806 * * [simplify]: Extracting #3: cost 212 inf + 3 4.807 * * [simplify]: Extracting #4: cost 213 inf + 801 4.810 * * [simplify]: Extracting #5: cost 140 inf + 15314 4.826 * * [simplify]: Extracting #6: cost 26 inf + 94405 4.847 * * [simplify]: Extracting #7: cost 0 inf + 113797 4.866 * * [simplify]: Extracting #8: cost 0 inf + 112990 4.885 * * [simplify]: Extracting #9: cost 0 inf + 111447 4.914 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (cbrt (sqrt k))) 4.914 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (cbrt (sqrt k))))) 4.914 * * * * [progress]: [ 59 / 133 ] simplifiying candidate # 4.915 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (* (cbrt k) (cbrt k)))) 4.915 * * [simplify]: iters left: 6 (11 enodes) 4.920 * * [simplify]: iters left: 5 (45 enodes) 4.930 * * [simplify]: iters left: 4 (72 enodes) 4.942 * * [simplify]: iters left: 3 (113 enodes) 4.969 * * [simplify]: iters left: 2 (202 enodes) 5.017 * * [simplify]: iters left: 1 (423 enodes) 5.244 * * [simplify]: Extracting #0: cost 1 inf + 0 5.244 * * [simplify]: Extracting #1: cost 45 inf + 0 5.245 * * [simplify]: Extracting #2: cost 135 inf + 0 5.246 * * [simplify]: Extracting #3: cost 200 inf + 4 5.249 * * [simplify]: Extracting #4: cost 178 inf + 4357 5.258 * * [simplify]: Extracting #5: cost 104 inf + 31155 5.268 * * [simplify]: Extracting #6: cost 30 inf + 80538 5.283 * * [simplify]: Extracting #7: cost 0 inf + 106837 5.301 * * [simplify]: Extracting #8: cost 0 inf + 104726 5.317 * * [simplify]: Extracting #9: cost 0 inf + 104144 5.330 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) 5.330 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 5.331 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k))) 5.331 * * [simplify]: iters left: 6 (11 enodes) 5.334 * * [simplify]: iters left: 5 (45 enodes) 5.343 * * [simplify]: iters left: 4 (68 enodes) 5.365 * * [simplify]: iters left: 3 (110 enodes) 5.402 * * [simplify]: iters left: 2 (217 enodes) 5.462 * * [simplify]: iters left: 1 (458 enodes) 5.645 * * [simplify]: Extracting #0: cost 1 inf + 0 5.645 * * [simplify]: Extracting #1: cost 45 inf + 0 5.645 * * [simplify]: Extracting #2: cost 132 inf + 0 5.646 * * [simplify]: Extracting #3: cost 212 inf + 3 5.647 * * [simplify]: Extracting #4: cost 213 inf + 841 5.650 * * [simplify]: Extracting #5: cost 140 inf + 15394 5.665 * * [simplify]: Extracting #6: cost 26 inf + 94485 5.682 * * [simplify]: Extracting #7: cost 0 inf + 113877 5.700 * * [simplify]: Extracting #8: cost 0 inf + 113070 5.717 * * [simplify]: Extracting #9: cost 0 inf + 111527 5.733 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (cbrt k))) 5.733 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (cbrt k))))) 5.733 * * * * [progress]: [ 60 / 133 ] simplifiying candidate # 5.733 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 5.733 * * [simplify]: iters left: 6 (10 enodes) 5.737 * * [simplify]: iters left: 5 (41 enodes) 5.745 * * [simplify]: iters left: 4 (68 enodes) 5.757 * * [simplify]: iters left: 3 (109 enodes) 5.776 * * [simplify]: iters left: 2 (194 enodes) 5.853 * * [simplify]: iters left: 1 (414 enodes) 6.074 * * [simplify]: Extracting #0: cost 1 inf + 0 6.074 * * [simplify]: Extracting #1: cost 45 inf + 0 6.074 * * [simplify]: Extracting #2: cost 141 inf + 0 6.075 * * [simplify]: Extracting #3: cost 206 inf + 4 6.077 * * [simplify]: Extracting #4: cost 180 inf + 9439 6.082 * * [simplify]: Extracting #5: cost 108 inf + 27286 6.093 * * [simplify]: Extracting #6: cost 36 inf + 72454 6.108 * * [simplify]: Extracting #7: cost 0 inf + 101831 6.124 * * [simplify]: Extracting #8: cost 0 inf + 101671 6.153 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 6.153 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 6.153 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 6.153 * * [simplify]: iters left: 6 (11 enodes) 6.158 * * [simplify]: iters left: 5 (45 enodes) 6.167 * * [simplify]: iters left: 4 (68 enodes) 6.179 * * [simplify]: iters left: 3 (110 enodes) 6.213 * * [simplify]: iters left: 2 (217 enodes) 6.300 * * [simplify]: iters left: 1 (458 enodes) 6.498 * * [simplify]: Extracting #0: cost 1 inf + 0 6.498 * * [simplify]: Extracting #1: cost 45 inf + 0 6.499 * * [simplify]: Extracting #2: cost 132 inf + 0 6.499 * * [simplify]: Extracting #3: cost 212 inf + 3 6.500 * * [simplify]: Extracting #4: cost 213 inf + 761 6.503 * * [simplify]: Extracting #5: cost 140 inf + 15034 6.516 * * [simplify]: Extracting #6: cost 26 inf + 92245 6.548 * * [simplify]: Extracting #7: cost 0 inf + 111037 6.581 * * [simplify]: Extracting #8: cost 0 inf + 110230 6.617 * * [simplify]: Extracting #9: cost 0 inf + 108687 6.649 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k))) 6.649 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k))))) 6.649 * * * * [progress]: [ 61 / 133 ] simplifiying candidate # 6.649 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) 6.649 * * [simplify]: iters left: 6 (9 enodes) 6.653 * * [simplify]: iters left: 5 (38 enodes) 6.660 * * [simplify]: iters left: 4 (63 enodes) 6.671 * * [simplify]: iters left: 3 (100 enodes) 6.696 * * [simplify]: iters left: 2 (175 enodes) 6.749 * * [simplify]: iters left: 1 (360 enodes) 6.892 * * [simplify]: Extracting #0: cost 1 inf + 0 6.892 * * [simplify]: Extracting #1: cost 52 inf + 0 6.892 * * [simplify]: Extracting #2: cost 150 inf + 3 6.893 * * [simplify]: Extracting #3: cost 190 inf + 8 6.894 * * [simplify]: Extracting #4: cost 161 inf + 3039 6.897 * * [simplify]: Extracting #5: cost 116 inf + 9850 6.904 * * [simplify]: Extracting #6: cost 35 inf + 60283 6.916 * * [simplify]: Extracting #7: cost 2 inf + 86206 6.928 * * [simplify]: Extracting #8: cost 0 inf + 87719 6.949 * [simplify]: Simplified to (pow n (- 1/2 (/ k 2))) 6.949 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 6.949 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 6.949 * * [simplify]: iters left: 6 (10 enodes) 6.955 * * [simplify]: iters left: 5 (42 enodes) 6.973 * * [simplify]: iters left: 4 (65 enodes) 6.995 * * [simplify]: iters left: 3 (104 enodes) 7.034 * * [simplify]: iters left: 2 (206 enodes) 7.118 * * [simplify]: iters left: 1 (435 enodes) 7.279 * * [simplify]: Extracting #0: cost 1 inf + 0 7.279 * * [simplify]: Extracting #1: cost 47 inf + 0 7.280 * * [simplify]: Extracting #2: cost 137 inf + 0 7.281 * * [simplify]: Extracting #3: cost 210 inf + 45 7.284 * * [simplify]: Extracting #4: cost 204 inf + 1134 7.289 * * [simplify]: Extracting #5: cost 148 inf + 9351 7.297 * * [simplify]: Extracting #6: cost 67 inf + 53607 7.311 * * [simplify]: Extracting #7: cost 1 inf + 112920 7.326 * * [simplify]: Extracting #8: cost 0 inf + 111430 7.357 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)) 7.357 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))) 7.357 * * * * [progress]: [ 62 / 133 ] simplifiying candidate # 7.358 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 7.358 * * [simplify]: iters left: 6 (10 enodes) 7.364 * * [simplify]: iters left: 5 (41 enodes) 7.377 * * [simplify]: iters left: 4 (68 enodes) 7.400 * * [simplify]: iters left: 3 (109 enodes) 7.433 * * [simplify]: iters left: 2 (194 enodes) 7.489 * * [simplify]: iters left: 1 (414 enodes) 7.658 * * [simplify]: Extracting #0: cost 1 inf + 0 7.658 * * [simplify]: Extracting #1: cost 45 inf + 0 7.659 * * [simplify]: Extracting #2: cost 141 inf + 0 7.660 * * [simplify]: Extracting #3: cost 206 inf + 4 7.663 * * [simplify]: Extracting #4: cost 180 inf + 9439 7.673 * * [simplify]: Extracting #5: cost 108 inf + 27286 7.696 * * [simplify]: Extracting #6: cost 36 inf + 72454 7.722 * * [simplify]: Extracting #7: cost 0 inf + 101831 7.737 * * [simplify]: Extracting #8: cost 0 inf + 101671 7.761 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 7.762 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 7.762 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 7.762 * * [simplify]: iters left: 6 (11 enodes) 7.768 * * [simplify]: iters left: 5 (45 enodes) 7.784 * * [simplify]: iters left: 4 (68 enodes) 7.809 * * [simplify]: iters left: 3 (110 enodes) 7.849 * * [simplify]: iters left: 2 (217 enodes) 7.938 * * [simplify]: iters left: 1 (458 enodes) 8.120 * * [simplify]: Extracting #0: cost 1 inf + 0 8.120 * * [simplify]: Extracting #1: cost 45 inf + 0 8.121 * * [simplify]: Extracting #2: cost 132 inf + 0 8.122 * * [simplify]: Extracting #3: cost 212 inf + 3 8.123 * * [simplify]: Extracting #4: cost 213 inf + 761 8.126 * * [simplify]: Extracting #5: cost 140 inf + 15034 8.141 * * [simplify]: Extracting #6: cost 26 inf + 92245 8.173 * * [simplify]: Extracting #7: cost 0 inf + 111037 8.200 * * [simplify]: Extracting #8: cost 0 inf + 110230 8.217 * * [simplify]: Extracting #9: cost 0 inf + 108687 8.245 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k))) 8.245 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k))))) 8.245 * * * * [progress]: [ 63 / 133 ] simplifiying candidate # 8.246 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) 1) 8.246 * * [simplify]: iters left: 6 (8 enodes) 8.251 * * [simplify]: iters left: 5 (33 enodes) 8.262 * * [simplify]: iters left: 4 (56 enodes) 8.277 * * [simplify]: iters left: 3 (98 enodes) 8.298 * * [simplify]: iters left: 2 (203 enodes) 8.374 * * [simplify]: iters left: 1 (443 enodes) 8.674 * * [simplify]: Extracting #0: cost 1 inf + 0 8.674 * * [simplify]: Extracting #1: cost 47 inf + 0 8.675 * * [simplify]: Extracting #2: cost 155 inf + 3 8.677 * * [simplify]: Extracting #3: cost 207 inf + 8 8.679 * * [simplify]: Extracting #4: cost 189 inf + 2296 8.686 * * [simplify]: Extracting #5: cost 112 inf + 20090 8.709 * * [simplify]: Extracting #6: cost 19 inf + 81064 8.741 * * [simplify]: Extracting #7: cost 0 inf + 94833 8.776 * * [simplify]: Extracting #8: cost 0 inf + 93433 8.810 * [simplify]: Simplified to (pow n (- 1/2 (/ k 2))) 8.810 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 8.811 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 8.811 * * [simplify]: iters left: 6 (10 enodes) 8.821 * * [simplify]: iters left: 5 (42 enodes) 8.835 * * [simplify]: iters left: 4 (65 enodes) 8.857 * * [simplify]: iters left: 3 (104 enodes) 8.894 * * [simplify]: iters left: 2 (206 enodes) 8.976 * * [simplify]: iters left: 1 (435 enodes) 9.175 * * [simplify]: Extracting #0: cost 1 inf + 0 9.176 * * [simplify]: Extracting #1: cost 47 inf + 0 9.176 * * [simplify]: Extracting #2: cost 137 inf + 0 9.177 * * [simplify]: Extracting #3: cost 210 inf + 45 9.178 * * [simplify]: Extracting #4: cost 204 inf + 1134 9.182 * * [simplify]: Extracting #5: cost 148 inf + 9351 9.195 * * [simplify]: Extracting #6: cost 67 inf + 53607 9.224 * * [simplify]: Extracting #7: cost 1 inf + 112920 9.254 * * [simplify]: Extracting #8: cost 0 inf + 111430 9.285 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)) 9.285 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) 1) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))) 9.285 * * * * [progress]: [ 64 / 133 ] simplifiying candidate # 9.285 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 9.286 * * [simplify]: iters left: 6 (16 enodes) 9.294 * * [simplify]: iters left: 5 (69 enodes) 9.320 * * [simplify]: iters left: 4 (117 enodes) 9.357 * * [simplify]: iters left: 3 (164 enodes) 9.408 * * [simplify]: iters left: 2 (236 enodes) 9.482 * * [simplify]: iters left: 1 (387 enodes) 9.623 * * [simplify]: Extracting #0: cost 1 inf + 0 9.623 * * [simplify]: Extracting #1: cost 11 inf + 0 9.623 * * [simplify]: Extracting #2: cost 22 inf + 0 9.623 * * [simplify]: Extracting #3: cost 48 inf + 0 9.624 * * [simplify]: Extracting #4: cost 120 inf + 2 9.625 * * [simplify]: Extracting #5: cost 150 inf + 787 9.628 * * [simplify]: Extracting #6: cost 110 inf + 5219 9.636 * * [simplify]: Extracting #7: cost 48 inf + 27777 9.652 * * [simplify]: Extracting #8: cost 12 inf + 58840 9.665 * * [simplify]: Extracting #9: cost 0 inf + 68408 9.676 * [simplify]: Simplified to (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 9.676 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k))))) 9.676 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k))) 9.676 * * [simplify]: iters left: 6 (14 enodes) 9.681 * * [simplify]: iters left: 5 (57 enodes) 9.700 * * [simplify]: iters left: 4 (90 enodes) 9.725 * * [simplify]: iters left: 3 (127 enodes) 9.745 * * [simplify]: iters left: 2 (195 enodes) 9.818 * * [simplify]: iters left: 1 (356 enodes) 9.965 * * [simplify]: Extracting #0: cost 1 inf + 0 9.965 * * [simplify]: Extracting #1: cost 4 inf + 0 9.965 * * [simplify]: Extracting #2: cost 8 inf + 0 9.965 * * [simplify]: Extracting #3: cost 34 inf + 0 9.965 * * [simplify]: Extracting #4: cost 107 inf + 164 9.966 * * [simplify]: Extracting #5: cost 148 inf + 585 9.967 * * [simplify]: Extracting #6: cost 109 inf + 5352 9.977 * * [simplify]: Extracting #7: cost 45 inf + 27047 9.996 * * [simplify]: Extracting #8: cost 6 inf + 58672 10.017 * * [simplify]: Extracting #9: cost 0 inf + 62696 10.035 * * [simplify]: Extracting #10: cost 0 inf + 62192 10.046 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 10.046 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 10.046 * * * * [progress]: [ 65 / 133 ] simplifiying candidate # 10.046 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (* (cbrt k) (cbrt k)))) 10.047 * * [simplify]: iters left: 6 (16 enodes) 10.051 * * [simplify]: iters left: 5 (66 enodes) 10.063 * * [simplify]: iters left: 4 (103 enodes) 10.094 * * [simplify]: iters left: 3 (142 enodes) 10.131 * * [simplify]: iters left: 2 (210 enodes) 10.180 * * [simplify]: iters left: 1 (370 enodes) 10.314 * * [simplify]: Extracting #0: cost 1 inf + 0 10.314 * * [simplify]: Extracting #1: cost 7 inf + 0 10.314 * * [simplify]: Extracting #2: cost 15 inf + 0 10.314 * * [simplify]: Extracting #3: cost 43 inf + 0 10.315 * * [simplify]: Extracting #4: cost 113 inf + 204 10.316 * * [simplify]: Extracting #5: cost 145 inf + 907 10.319 * * [simplify]: Extracting #6: cost 114 inf + 4465 10.326 * * [simplify]: Extracting #7: cost 52 inf + 23940 10.341 * * [simplify]: Extracting #8: cost 13 inf + 52482 10.358 * * [simplify]: Extracting #9: cost 0 inf + 63276 10.368 * * [simplify]: Extracting #10: cost 0 inf + 62983 10.377 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (fabs (cbrt k))) 10.377 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (fabs (cbrt k))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k))))) 10.377 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k))) 10.378 * * [simplify]: iters left: 6 (14 enodes) 10.381 * * [simplify]: iters left: 5 (57 enodes) 10.404 * * [simplify]: iters left: 4 (90 enodes) 10.421 * * [simplify]: iters left: 3 (127 enodes) 10.444 * * [simplify]: iters left: 2 (195 enodes) 10.512 * * [simplify]: iters left: 1 (356 enodes) 10.645 * * [simplify]: Extracting #0: cost 1 inf + 0 10.645 * * [simplify]: Extracting #1: cost 4 inf + 0 10.645 * * [simplify]: Extracting #2: cost 8 inf + 0 10.646 * * [simplify]: Extracting #3: cost 34 inf + 0 10.646 * * [simplify]: Extracting #4: cost 107 inf + 204 10.646 * * [simplify]: Extracting #5: cost 148 inf + 665 10.648 * * [simplify]: Extracting #6: cost 109 inf + 5432 10.652 * * [simplify]: Extracting #7: cost 45 inf + 27127 10.662 * * [simplify]: Extracting #8: cost 6 inf + 58752 10.675 * * [simplify]: Extracting #9: cost 0 inf + 62776 10.696 * * [simplify]: Extracting #10: cost 0 inf + 62272 10.721 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (cbrt k))) 10.721 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (cbrt k))))) 10.721 * * * * [progress]: [ 66 / 133 ] simplifiying candidate # 10.721 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) 10.722 * * [simplify]: iters left: 6 (15 enodes) 10.727 * * [simplify]: iters left: 5 (62 enodes) 10.738 * * [simplify]: iters left: 4 (99 enodes) 10.754 * * [simplify]: iters left: 3 (142 enodes) 10.784 * * [simplify]: iters left: 2 (215 enodes) 10.860 * * [simplify]: iters left: 1 (364 enodes) 10.982 * * [simplify]: Extracting #0: cost 1 inf + 0 10.982 * * [simplify]: Extracting #1: cost 7 inf + 0 10.982 * * [simplify]: Extracting #2: cost 14 inf + 0 10.982 * * [simplify]: Extracting #3: cost 41 inf + 0 10.983 * * [simplify]: Extracting #4: cost 107 inf + 165 10.984 * * [simplify]: Extracting #5: cost 134 inf + 713 10.987 * * [simplify]: Extracting #6: cost 89 inf + 7533 10.998 * * [simplify]: Extracting #7: cost 28 inf + 38261 11.020 * * [simplify]: Extracting #8: cost 0 inf + 60484 11.037 * * [simplify]: Extracting #9: cost 0 inf + 60062 11.055 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) 11.055 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 11.056 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 11.056 * * [simplify]: iters left: 6 (14 enodes) 11.064 * * [simplify]: iters left: 5 (57 enodes) 11.083 * * [simplify]: iters left: 4 (90 enodes) 11.110 * * [simplify]: iters left: 3 (127 enodes) 11.150 * * [simplify]: iters left: 2 (195 enodes) 11.201 * * [simplify]: iters left: 1 (356 enodes) 11.313 * * [simplify]: Extracting #0: cost 1 inf + 0 11.313 * * [simplify]: Extracting #1: cost 4 inf + 0 11.313 * * [simplify]: Extracting #2: cost 8 inf + 0 11.314 * * [simplify]: Extracting #3: cost 34 inf + 0 11.314 * * [simplify]: Extracting #4: cost 107 inf + 124 11.319 * * [simplify]: Extracting #5: cost 148 inf + 505 11.320 * * [simplify]: Extracting #6: cost 109 inf + 5272 11.324 * * [simplify]: Extracting #7: cost 45 inf + 26887 11.334 * * [simplify]: Extracting #8: cost 6 inf + 58512 11.349 * * [simplify]: Extracting #9: cost 0 inf + 62536 11.370 * * [simplify]: Extracting #10: cost 0 inf + 62032 11.392 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 11.392 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 11.392 * * * * [progress]: [ 67 / 133 ] simplifiying candidate # 11.393 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt 1)) 11.393 * * [simplify]: iters left: 6 (14 enodes) 11.402 * * [simplify]: iters left: 5 (59 enodes) 11.421 * * [simplify]: iters left: 4 (96 enodes) 11.451 * * [simplify]: iters left: 3 (136 enodes) 11.493 * * [simplify]: iters left: 2 (205 enodes) 11.550 * * [simplify]: iters left: 1 (370 enodes) 11.681 * * [simplify]: Extracting #0: cost 1 inf + 0 11.681 * * [simplify]: Extracting #1: cost 5 inf + 0 11.681 * * [simplify]: Extracting #2: cost 7 inf + 1 11.681 * * [simplify]: Extracting #3: cost 31 inf + 1 11.681 * * [simplify]: Extracting #4: cost 103 inf + 2 11.682 * * [simplify]: Extracting #5: cost 150 inf + 218 11.683 * * [simplify]: Extracting #6: cost 149 inf + 478 11.684 * * [simplify]: Extracting #7: cost 93 inf + 8914 11.692 * * [simplify]: Extracting #8: cost 27 inf + 33526 11.715 * * [simplify]: Extracting #9: cost 0 inf + 51357 11.741 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 11.741 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)))) 11.741 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 11.741 * * [simplify]: iters left: 6 (13 enodes) 11.749 * * [simplify]: iters left: 5 (54 enodes) 11.767 * * [simplify]: iters left: 4 (87 enodes) 11.798 * * [simplify]: iters left: 3 (128 enodes) 11.839 * * [simplify]: iters left: 2 (197 enodes) 11.897 * * [simplify]: iters left: 1 (354 enodes) 12.049 * * [simplify]: Extracting #0: cost 1 inf + 0 12.049 * * [simplify]: Extracting #1: cost 4 inf + 0 12.049 * * [simplify]: Extracting #2: cost 8 inf + 0 12.050 * * [simplify]: Extracting #3: cost 28 inf + 83 12.050 * * [simplify]: Extracting #4: cost 105 inf + 84 12.050 * * [simplify]: Extracting #5: cost 139 inf + 384 12.052 * * [simplify]: Extracting #6: cost 103 inf + 5239 12.055 * * [simplify]: Extracting #7: cost 50 inf + 20824 12.062 * * [simplify]: Extracting #8: cost 15 inf + 47877 12.071 * * [simplify]: Extracting #9: cost 0 inf + 59693 12.080 * * [simplify]: Extracting #10: cost 0 inf + 59363 12.090 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)) 12.090 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt 1)) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)))) 12.090 * * * * [progress]: [ 68 / 133 ] simplifiying candidate # 12.090 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) 12.091 * * [simplify]: iters left: 6 (15 enodes) 12.095 * * [simplify]: iters left: 5 (62 enodes) 12.113 * * [simplify]: iters left: 4 (99 enodes) 12.144 * * [simplify]: iters left: 3 (142 enodes) 12.170 * * [simplify]: iters left: 2 (215 enodes) 12.213 * * [simplify]: iters left: 1 (364 enodes) 12.345 * * [simplify]: Extracting #0: cost 1 inf + 0 12.345 * * [simplify]: Extracting #1: cost 7 inf + 0 12.345 * * [simplify]: Extracting #2: cost 14 inf + 0 12.346 * * [simplify]: Extracting #3: cost 41 inf + 0 12.346 * * [simplify]: Extracting #4: cost 107 inf + 165 12.347 * * [simplify]: Extracting #5: cost 134 inf + 713 12.351 * * [simplify]: Extracting #6: cost 89 inf + 7533 12.362 * * [simplify]: Extracting #7: cost 28 inf + 38261 12.379 * * [simplify]: Extracting #8: cost 0 inf + 60484 12.397 * * [simplify]: Extracting #9: cost 0 inf + 60062 12.419 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) 12.419 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 12.419 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 12.419 * * [simplify]: iters left: 6 (14 enodes) 12.427 * * [simplify]: iters left: 5 (57 enodes) 12.447 * * [simplify]: iters left: 4 (90 enodes) 12.474 * * [simplify]: iters left: 3 (127 enodes) 12.508 * * [simplify]: iters left: 2 (195 enodes) 12.561 * * [simplify]: iters left: 1 (356 enodes) 12.728 * * [simplify]: Extracting #0: cost 1 inf + 0 12.728 * * [simplify]: Extracting #1: cost 4 inf + 0 12.728 * * [simplify]: Extracting #2: cost 8 inf + 0 12.729 * * [simplify]: Extracting #3: cost 34 inf + 0 12.729 * * [simplify]: Extracting #4: cost 107 inf + 124 12.730 * * [simplify]: Extracting #5: cost 148 inf + 505 12.733 * * [simplify]: Extracting #6: cost 109 inf + 5272 12.742 * * [simplify]: Extracting #7: cost 45 inf + 26887 12.752 * * [simplify]: Extracting #8: cost 6 inf + 58512 12.766 * * [simplify]: Extracting #9: cost 0 inf + 62536 12.779 * * [simplify]: Extracting #10: cost 0 inf + 62032 12.800 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 12.801 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 12.801 * * * * [progress]: [ 69 / 133 ] simplifiying candidate # 12.801 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 1) 12.801 * * [simplify]: iters left: 6 (13 enodes) 12.809 * * [simplify]: iters left: 5 (54 enodes) 12.828 * * [simplify]: iters left: 4 (95 enodes) 12.849 * * [simplify]: iters left: 3 (137 enodes) 12.870 * * [simplify]: iters left: 2 (206 enodes) 12.934 * * [simplify]: iters left: 1 (362 enodes) 13.056 * * [simplify]: Extracting #0: cost 1 inf + 0 13.056 * * [simplify]: Extracting #1: cost 5 inf + 0 13.056 * * [simplify]: Extracting #2: cost 7 inf + 1 13.056 * * [simplify]: Extracting #3: cost 32 inf + 1 13.057 * * [simplify]: Extracting #4: cost 110 inf + 2 13.058 * * [simplify]: Extracting #5: cost 158 inf + 176 13.060 * * [simplify]: Extracting #6: cost 151 inf + 644 13.070 * * [simplify]: Extracting #7: cost 91 inf + 10513 13.082 * * [simplify]: Extracting #8: cost 37 inf + 29756 13.098 * * [simplify]: Extracting #9: cost 0 inf + 59764 13.109 * * [simplify]: Extracting #10: cost 0 inf + 58856 13.120 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 13.120 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)))) 13.120 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 13.120 * * [simplify]: iters left: 6 (13 enodes) 13.124 * * [simplify]: iters left: 5 (54 enodes) 13.135 * * [simplify]: iters left: 4 (87 enodes) 13.163 * * [simplify]: iters left: 3 (128 enodes) 13.189 * * [simplify]: iters left: 2 (197 enodes) 13.253 * * [simplify]: iters left: 1 (354 enodes) 13.392 * * [simplify]: Extracting #0: cost 1 inf + 0 13.392 * * [simplify]: Extracting #1: cost 4 inf + 0 13.392 * * [simplify]: Extracting #2: cost 8 inf + 0 13.392 * * [simplify]: Extracting #3: cost 28 inf + 83 13.392 * * [simplify]: Extracting #4: cost 105 inf + 84 13.393 * * [simplify]: Extracting #5: cost 139 inf + 384 13.394 * * [simplify]: Extracting #6: cost 103 inf + 5239 13.397 * * [simplify]: Extracting #7: cost 50 inf + 20824 13.409 * * [simplify]: Extracting #8: cost 15 inf + 47877 13.428 * * [simplify]: Extracting #9: cost 0 inf + 59693 13.441 * * [simplify]: Extracting #10: cost 0 inf + 59363 13.450 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)) 13.450 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 1) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)))) 13.450 * * * * [progress]: [ 70 / 133 ] simplifiying candidate # 13.450 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 13.450 * * [simplify]: iters left: 6 (15 enodes) 13.454 * * [simplify]: iters left: 5 (62 enodes) 13.465 * * [simplify]: iters left: 4 (98 enodes) 13.495 * * [simplify]: iters left: 3 (134 enodes) 13.538 * * [simplify]: iters left: 2 (202 enodes) 13.596 * * [simplify]: iters left: 1 (362 enodes) 13.734 * * [simplify]: Extracting #0: cost 1 inf + 0 13.734 * * [simplify]: Extracting #1: cost 6 inf + 0 13.734 * * [simplify]: Extracting #2: cost 13 inf + 0 13.734 * * [simplify]: Extracting #3: cost 43 inf + 0 13.735 * * [simplify]: Extracting #4: cost 120 inf + 285 13.736 * * [simplify]: Extracting #5: cost 141 inf + 1984 13.743 * * [simplify]: Extracting #6: cost 72 inf + 21416 13.757 * * [simplify]: Extracting #7: cost 23 inf + 42391 13.775 * * [simplify]: Extracting #8: cost 0 inf + 61728 13.793 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 13.793 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k))))) 13.794 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k))) 13.794 * * [simplify]: iters left: 6 (14 enodes) 13.802 * * [simplify]: iters left: 5 (57 enodes) 13.820 * * [simplify]: iters left: 4 (91 enodes) 13.852 * * [simplify]: iters left: 3 (127 enodes) 13.892 * * [simplify]: iters left: 2 (195 enodes) 13.964 * * [simplify]: iters left: 1 (354 enodes) 14.110 * * [simplify]: Extracting #0: cost 1 inf + 0 14.110 * * [simplify]: Extracting #1: cost 4 inf + 0 14.110 * * [simplify]: Extracting #2: cost 9 inf + 0 14.110 * * [simplify]: Extracting #3: cost 36 inf + 0 14.110 * * [simplify]: Extracting #4: cost 113 inf + 205 14.111 * * [simplify]: Extracting #5: cost 131 inf + 2415 14.116 * * [simplify]: Extracting #6: cost 45 inf + 33802 14.135 * * [simplify]: Extracting #7: cost 2 inf + 54796 14.162 * * [simplify]: Extracting #8: cost 0 inf + 53175 14.192 * * [simplify]: Extracting #9: cost 0 inf + 52741 14.220 * * [simplify]: Extracting #10: cost 0 inf + 52079 14.252 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k))) 14.253 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k))))) 14.253 * * * * [progress]: [ 71 / 133 ] simplifiying candidate # 14.253 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt k) (cbrt k)))) 14.253 * * [simplify]: iters left: 6 (15 enodes) 14.262 * * [simplify]: iters left: 5 (61 enodes) 14.282 * * [simplify]: iters left: 4 (95 enodes) 14.309 * * [simplify]: iters left: 3 (131 enodes) 14.330 * * [simplify]: iters left: 2 (199 enodes) 14.399 * * [simplify]: iters left: 1 (362 enodes) 14.516 * * [simplify]: Extracting #0: cost 1 inf + 0 14.516 * * [simplify]: Extracting #1: cost 4 inf + 0 14.516 * * [simplify]: Extracting #2: cost 10 inf + 0 14.516 * * [simplify]: Extracting #3: cost 41 inf + 0 14.516 * * [simplify]: Extracting #4: cost 124 inf + 325 14.517 * * [simplify]: Extracting #5: cost 146 inf + 2066 14.519 * * [simplify]: Extracting #6: cost 94 inf + 10304 14.525 * * [simplify]: Extracting #7: cost 23 inf + 47402 14.539 * * [simplify]: Extracting #8: cost 0 inf + 67276 14.553 * * [simplify]: Extracting #9: cost 0 inf + 66421 14.562 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (fabs (cbrt k))) 14.563 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (fabs (cbrt k))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k))))) 14.563 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k))) 14.563 * * [simplify]: iters left: 6 (14 enodes) 14.567 * * [simplify]: iters left: 5 (57 enodes) 14.576 * * [simplify]: iters left: 4 (91 enodes) 14.601 * * [simplify]: iters left: 3 (127 enodes) 14.641 * * [simplify]: iters left: 2 (195 enodes) 14.716 * * [simplify]: iters left: 1 (354 enodes) 14.891 * * [simplify]: Extracting #0: cost 1 inf + 0 14.891 * * [simplify]: Extracting #1: cost 4 inf + 0 14.891 * * [simplify]: Extracting #2: cost 9 inf + 0 14.891 * * [simplify]: Extracting #3: cost 36 inf + 0 14.892 * * [simplify]: Extracting #4: cost 113 inf + 285 14.892 * * [simplify]: Extracting #5: cost 131 inf + 2495 14.901 * * [simplify]: Extracting #6: cost 45 inf + 33882 14.924 * * [simplify]: Extracting #7: cost 2 inf + 54876 14.951 * * [simplify]: Extracting #8: cost 0 inf + 53255 14.980 * * [simplify]: Extracting #9: cost 0 inf + 52821 15.010 * * [simplify]: Extracting #10: cost 0 inf + 52159 15.038 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt k))) 15.038 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt k))))) 15.038 * * * * [progress]: [ 72 / 133 ] simplifiying candidate # 15.039 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 15.039 * * [simplify]: iters left: 6 (14 enodes) 15.047 * * [simplify]: iters left: 5 (57 enodes) 15.065 * * [simplify]: iters left: 4 (91 enodes) 15.096 * * [simplify]: iters left: 3 (127 enodes) 15.131 * * [simplify]: iters left: 2 (195 enodes) 15.174 * * [simplify]: iters left: 1 (354 enodes) 15.337 * * [simplify]: Extracting #0: cost 1 inf + 0 15.338 * * [simplify]: Extracting #1: cost 4 inf + 0 15.338 * * [simplify]: Extracting #2: cost 9 inf + 0 15.338 * * [simplify]: Extracting #3: cost 36 inf + 0 15.338 * * [simplify]: Extracting #4: cost 113 inf + 165 15.340 * * [simplify]: Extracting #5: cost 131 inf + 2335 15.350 * * [simplify]: Extracting #6: cost 45 inf + 33642 15.371 * * [simplify]: Extracting #7: cost 2 inf + 54636 15.399 * * [simplify]: Extracting #8: cost 0 inf + 53015 15.427 * * [simplify]: Extracting #9: cost 0 inf + 52581 15.444 * * [simplify]: Extracting #10: cost 0 inf + 51919 15.462 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 15.462 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 15.462 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 15.462 * * [simplify]: iters left: 6 (14 enodes) 15.471 * * [simplify]: iters left: 5 (57 enodes) 15.489 * * [simplify]: iters left: 4 (91 enodes) 15.503 * * [simplify]: iters left: 3 (127 enodes) 15.525 * * [simplify]: iters left: 2 (195 enodes) 15.596 * * [simplify]: iters left: 1 (354 enodes) 15.709 * * [simplify]: Extracting #0: cost 1 inf + 0 15.710 * * [simplify]: Extracting #1: cost 4 inf + 0 15.710 * * [simplify]: Extracting #2: cost 9 inf + 0 15.710 * * [simplify]: Extracting #3: cost 36 inf + 0 15.710 * * [simplify]: Extracting #4: cost 113 inf + 165 15.712 * * [simplify]: Extracting #5: cost 131 inf + 2335 15.722 * * [simplify]: Extracting #6: cost 45 inf + 33642 15.744 * * [simplify]: Extracting #7: cost 2 inf + 54636 15.773 * * [simplify]: Extracting #8: cost 0 inf + 53015 15.788 * * [simplify]: Extracting #9: cost 0 inf + 52581 15.803 * * [simplify]: Extracting #10: cost 0 inf + 51919 15.831 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 15.831 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 15.831 * * * * [progress]: [ 73 / 133 ] simplifiying candidate # 15.831 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) 15.831 * * [simplify]: iters left: 6 (13 enodes) 15.840 * * [simplify]: iters left: 5 (54 enodes) 15.858 * * [simplify]: iters left: 4 (88 enodes) 15.884 * * [simplify]: iters left: 3 (127 enodes) 15.926 * * [simplify]: iters left: 2 (196 enodes) 15.987 * * [simplify]: iters left: 1 (362 enodes) 16.153 * * [simplify]: Extracting #0: cost 1 inf + 0 16.153 * * [simplify]: Extracting #1: cost 5 inf + 0 16.153 * * [simplify]: Extracting #2: cost 27 inf + 1 16.153 * * [simplify]: Extracting #3: cost 103 inf + 2 16.154 * * [simplify]: Extracting #4: cost 147 inf + 177 16.154 * * [simplify]: Extracting #5: cost 138 inf + 686 16.156 * * [simplify]: Extracting #6: cost 90 inf + 5192 16.161 * * [simplify]: Extracting #7: cost 29 inf + 34526 16.170 * * [simplify]: Extracting #8: cost 3 inf + 53567 16.178 * * [simplify]: Extracting #9: cost 0 inf + 55996 16.196 * * [simplify]: Extracting #10: cost 0 inf + 55520 16.215 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) 16.215 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)))) 16.216 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 16.216 * * [simplify]: iters left: 6 (13 enodes) 16.223 * * [simplify]: iters left: 5 (54 enodes) 16.241 * * [simplify]: iters left: 4 (88 enodes) 16.273 * * [simplify]: iters left: 3 (125 enodes) 16.312 * * [simplify]: iters left: 2 (193 enodes) 16.386 * * [simplify]: iters left: 1 (356 enodes) 16.521 * * [simplify]: Extracting #0: cost 1 inf + 0 16.521 * * [simplify]: Extracting #1: cost 4 inf + 0 16.521 * * [simplify]: Extracting #2: cost 9 inf + 0 16.521 * * [simplify]: Extracting #3: cost 32 inf + 1 16.522 * * [simplify]: Extracting #4: cost 105 inf + 84 16.523 * * [simplify]: Extracting #5: cost 125 inf + 1632 16.528 * * [simplify]: Extracting #6: cost 73 inf + 13139 16.537 * * [simplify]: Extracting #7: cost 9 inf + 42244 16.550 * * [simplify]: Extracting #8: cost 0 inf + 47700 16.568 * * [simplify]: Extracting #9: cost 0 inf + 47090 16.589 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)) 16.589 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)))) 16.589 * * * * [progress]: [ 74 / 133 ] simplifiying candidate # 16.589 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 16.589 * * [simplify]: iters left: 6 (14 enodes) 16.593 * * [simplify]: iters left: 5 (57 enodes) 16.606 * * [simplify]: iters left: 4 (91 enodes) 16.627 * * [simplify]: iters left: 3 (127 enodes) 16.667 * * [simplify]: iters left: 2 (195 enodes) 16.738 * * [simplify]: iters left: 1 (354 enodes) 16.852 * * [simplify]: Extracting #0: cost 1 inf + 0 16.852 * * [simplify]: Extracting #1: cost 4 inf + 0 16.852 * * [simplify]: Extracting #2: cost 9 inf + 0 16.852 * * [simplify]: Extracting #3: cost 36 inf + 0 16.852 * * [simplify]: Extracting #4: cost 113 inf + 165 16.853 * * [simplify]: Extracting #5: cost 131 inf + 2335 16.858 * * [simplify]: Extracting #6: cost 45 inf + 33642 16.869 * * [simplify]: Extracting #7: cost 2 inf + 54636 16.883 * * [simplify]: Extracting #8: cost 0 inf + 53015 16.901 * * [simplify]: Extracting #9: cost 0 inf + 52581 16.918 * * [simplify]: Extracting #10: cost 0 inf + 51919 16.933 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 16.933 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 16.934 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 16.934 * * [simplify]: iters left: 6 (14 enodes) 16.938 * * [simplify]: iters left: 5 (57 enodes) 16.947 * * [simplify]: iters left: 4 (91 enodes) 16.962 * * [simplify]: iters left: 3 (127 enodes) 16.996 * * [simplify]: iters left: 2 (195 enodes) 17.071 * * [simplify]: iters left: 1 (354 enodes) 17.195 * * [simplify]: Extracting #0: cost 1 inf + 0 17.195 * * [simplify]: Extracting #1: cost 4 inf + 0 17.195 * * [simplify]: Extracting #2: cost 9 inf + 0 17.195 * * [simplify]: Extracting #3: cost 36 inf + 0 17.195 * * [simplify]: Extracting #4: cost 113 inf + 165 17.199 * * [simplify]: Extracting #5: cost 131 inf + 2335 17.204 * * [simplify]: Extracting #6: cost 45 inf + 33642 17.215 * * [simplify]: Extracting #7: cost 2 inf + 54636 17.240 * * [simplify]: Extracting #8: cost 0 inf + 53015 17.268 * * [simplify]: Extracting #9: cost 0 inf + 52581 17.292 * * [simplify]: Extracting #10: cost 0 inf + 51919 17.307 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 17.307 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 17.307 * * * * [progress]: [ 75 / 133 ] simplifiying candidate # 17.307 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) 17.307 * * [simplify]: iters left: 6 (12 enodes) 17.311 * * [simplify]: iters left: 5 (49 enodes) 17.320 * * [simplify]: iters left: 4 (83 enodes) 17.335 * * [simplify]: iters left: 3 (124 enodes) 17.355 * * [simplify]: iters left: 2 (197 enodes) 17.401 * * [simplify]: iters left: 1 (352 enodes) 17.560 * * [simplify]: Extracting #0: cost 1 inf + 0 17.560 * * [simplify]: Extracting #1: cost 5 inf + 0 17.560 * * [simplify]: Extracting #2: cost 27 inf + 1 17.561 * * [simplify]: Extracting #3: cost 107 inf + 2 17.562 * * [simplify]: Extracting #4: cost 136 inf + 177 17.563 * * [simplify]: Extracting #5: cost 129 inf + 724 17.567 * * [simplify]: Extracting #6: cost 68 inf + 10028 17.578 * * [simplify]: Extracting #7: cost 27 inf + 32706 17.587 * * [simplify]: Extracting #8: cost 0 inf + 57385 17.597 * * [simplify]: Extracting #9: cost 0 inf + 56670 17.606 * * [simplify]: Extracting #10: cost 0 inf + 56408 17.620 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) 17.620 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)))) 17.620 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 17.620 * * [simplify]: iters left: 6 (13 enodes) 17.631 * * [simplify]: iters left: 5 (54 enodes) 17.650 * * [simplify]: iters left: 4 (88 enodes) 17.666 * * [simplify]: iters left: 3 (125 enodes) 17.686 * * [simplify]: iters left: 2 (193 enodes) 17.725 * * [simplify]: iters left: 1 (356 enodes) 17.863 * * [simplify]: Extracting #0: cost 1 inf + 0 17.863 * * [simplify]: Extracting #1: cost 4 inf + 0 17.863 * * [simplify]: Extracting #2: cost 9 inf + 0 17.863 * * [simplify]: Extracting #3: cost 32 inf + 1 17.863 * * [simplify]: Extracting #4: cost 105 inf + 84 17.864 * * [simplify]: Extracting #5: cost 125 inf + 1632 17.867 * * [simplify]: Extracting #6: cost 73 inf + 13139 17.884 * * [simplify]: Extracting #7: cost 9 inf + 42244 17.901 * * [simplify]: Extracting #8: cost 0 inf + 47700 17.922 * * [simplify]: Extracting #9: cost 0 inf + 47090 17.948 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)) 17.948 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)))) 17.948 * * * * [progress]: [ 76 / 133 ] simplifiying candidate # 17.949 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 17.949 * * [simplify]: iters left: 6 (6 enodes) 17.952 * * [simplify]: iters left: 5 (22 enodes) 17.959 * * [simplify]: iters left: 4 (26 enodes) 17.966 * * [simplify]: Extracting #0: cost 1 inf + 0 17.967 * * [simplify]: Extracting #1: cost 6 inf + 0 17.967 * * [simplify]: Extracting #2: cost 9 inf + 1 17.967 * * [simplify]: Extracting #3: cost 11 inf + 1 17.967 * * [simplify]: Extracting #4: cost 8 inf + 84 17.967 * * [simplify]: Extracting #5: cost 2 inf + 1013 17.967 * * [simplify]: Extracting #6: cost 0 inf + 1376 17.968 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 17.968 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt k))))) 17.968 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt k))) 17.968 * * [simplify]: iters left: 6 (13 enodes) 17.976 * * [simplify]: iters left: 5 (54 enodes) 17.994 * * [simplify]: iters left: 4 (89 enodes) 18.023 * * [simplify]: iters left: 3 (136 enodes) 18.068 * * [simplify]: iters left: 2 (221 enodes) 18.156 * * [simplify]: iters left: 1 (444 enodes) 18.398 * * [simplify]: Extracting #0: cost 1 inf + 0 18.398 * * [simplify]: Extracting #1: cost 51 inf + 0 18.399 * * [simplify]: Extracting #2: cost 141 inf + 0 18.401 * * [simplify]: Extracting #3: cost 217 inf + 3 18.403 * * [simplify]: Extracting #4: cost 206 inf + 1256 18.410 * * [simplify]: Extracting #5: cost 128 inf + 22660 18.443 * * [simplify]: Extracting #6: cost 23 inf + 103572 18.480 * * [simplify]: Extracting #7: cost 0 inf + 122695 18.499 * * [simplify]: Extracting #8: cost 0 inf + 120000 18.531 * * [simplify]: Extracting #9: cost 0 inf + 119244 18.569 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt k))) 18.569 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt k))))) 18.569 * * * * [progress]: [ 77 / 133 ] simplifiying candidate # 18.569 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt k) (cbrt k)))) 18.569 * * [simplify]: iters left: 6 (6 enodes) 18.573 * * [simplify]: iters left: 5 (21 enodes) 18.579 * * [simplify]: iters left: 4 (23 enodes) 18.588 * * [simplify]: Extracting #0: cost 1 inf + 0 18.588 * * [simplify]: Extracting #1: cost 4 inf + 0 18.588 * * [simplify]: Extracting #2: cost 6 inf + 1 18.588 * * [simplify]: Extracting #3: cost 9 inf + 1 18.588 * * [simplify]: Extracting #4: cost 8 inf + 2 18.588 * * [simplify]: Extracting #5: cost 1 inf + 810 18.589 * * [simplify]: Extracting #6: cost 0 inf + 972 18.589 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 18.589 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 18.589 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt k))) 18.590 * * [simplify]: iters left: 6 (13 enodes) 18.596 * * [simplify]: iters left: 5 (54 enodes) 18.605 * * [simplify]: iters left: 4 (89 enodes) 18.623 * * [simplify]: iters left: 3 (136 enodes) 18.666 * * [simplify]: iters left: 2 (221 enodes) 18.752 * * [simplify]: iters left: 1 (444 enodes) 18.920 * * [simplify]: Extracting #0: cost 1 inf + 0 18.920 * * [simplify]: Extracting #1: cost 51 inf + 0 18.921 * * [simplify]: Extracting #2: cost 141 inf + 0 18.921 * * [simplify]: Extracting #3: cost 217 inf + 3 18.922 * * [simplify]: Extracting #4: cost 206 inf + 1296 18.926 * * [simplify]: Extracting #5: cost 128 inf + 22740 18.948 * * [simplify]: Extracting #6: cost 23 inf + 103652 18.975 * * [simplify]: Extracting #7: cost 0 inf + 122775 19.004 * * [simplify]: Extracting #8: cost 0 inf + 120080 19.038 * * [simplify]: Extracting #9: cost 0 inf + 119324 19.059 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt k))) 19.059 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 19.059 * * * * [progress]: [ 78 / 133 ] simplifiying candidate # 19.059 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 19.059 * * [simplify]: iters left: 4 (5 enodes) 19.062 * * [simplify]: iters left: 3 (17 enodes) 19.067 * * [simplify]: iters left: 2 (19 enodes) 19.073 * * [simplify]: Extracting #0: cost 1 inf + 0 19.073 * * [simplify]: Extracting #1: cost 4 inf + 0 19.073 * * [simplify]: Extracting #2: cost 5 inf + 1 19.073 * * [simplify]: Extracting #3: cost 7 inf + 1 19.073 * * [simplify]: Extracting #4: cost 0 inf + 490 19.073 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 19.074 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 19.074 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) 19.074 * * [simplify]: iters left: 6 (13 enodes) 19.081 * * [simplify]: iters left: 5 (54 enodes) 19.099 * * [simplify]: iters left: 4 (89 enodes) 19.129 * * [simplify]: iters left: 3 (136 enodes) 19.173 * * [simplify]: iters left: 2 (221 enodes) 19.263 * * [simplify]: iters left: 1 (444 enodes) 19.460 * * [simplify]: Extracting #0: cost 1 inf + 0 19.460 * * [simplify]: Extracting #1: cost 51 inf + 0 19.460 * * [simplify]: Extracting #2: cost 141 inf + 0 19.461 * * [simplify]: Extracting #3: cost 217 inf + 3 19.462 * * [simplify]: Extracting #4: cost 206 inf + 1176 19.468 * * [simplify]: Extracting #5: cost 128 inf + 22380 19.488 * * [simplify]: Extracting #6: cost 23 inf + 101172 19.507 * * [simplify]: Extracting #7: cost 0 inf + 119655 19.545 * * [simplify]: Extracting #8: cost 0 inf + 116960 19.587 * * [simplify]: Extracting #9: cost 0 inf + 116204 19.624 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 19.624 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 19.624 * * * * [progress]: [ 79 / 133 ] simplifiying candidate # 19.625 * [simplify]: Simplifying (/ 1 (sqrt 1)) 19.625 * * [simplify]: iters left: 3 (3 enodes) 19.631 * * [simplify]: iters left: 2 (11 enodes) 19.634 * * [simplify]: iters left: 1 (13 enodes) 19.637 * * [simplify]: Extracting #0: cost 1 inf + 0 19.637 * * [simplify]: Extracting #1: cost 0 inf + 1 19.637 * [simplify]: Simplified to 1 19.637 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))) 19.638 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 19.638 * * [simplify]: iters left: 6 (12 enodes) 19.645 * * [simplify]: iters left: 5 (51 enodes) 19.659 * * [simplify]: iters left: 4 (86 enodes) 19.673 * * [simplify]: iters left: 3 (133 enodes) 19.698 * * [simplify]: iters left: 2 (218 enodes) 19.771 * * [simplify]: iters left: 1 (444 enodes) 20.306 * * [simplify]: Extracting #0: cost 1 inf + 0 20.306 * * [simplify]: Extracting #1: cost 39 inf + 0 20.306 * * [simplify]: Extracting #2: cost 126 inf + 0 20.307 * * [simplify]: Extracting #3: cost 201 inf + 4 20.308 * * [simplify]: Extracting #4: cost 191 inf + 1382 20.310 * * [simplify]: Extracting #5: cost 133 inf + 10319 20.318 * * [simplify]: Extracting #6: cost 56 inf + 58095 20.348 * * [simplify]: Extracting #7: cost 0 inf + 104434 20.380 * * [simplify]: Extracting #8: cost 0 inf + 104433 20.405 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) 20.405 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))) 20.405 * * * * [progress]: [ 80 / 133 ] simplifiying candidate # 20.405 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 20.406 * * [simplify]: iters left: 4 (5 enodes) 20.407 * * [simplify]: iters left: 3 (17 enodes) 20.410 * * [simplify]: iters left: 2 (19 enodes) 20.413 * * [simplify]: Extracting #0: cost 1 inf + 0 20.413 * * [simplify]: Extracting #1: cost 4 inf + 0 20.413 * * [simplify]: Extracting #2: cost 5 inf + 1 20.413 * * [simplify]: Extracting #3: cost 7 inf + 1 20.413 * * [simplify]: Extracting #4: cost 0 inf + 490 20.413 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 20.413 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 20.413 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) 20.413 * * [simplify]: iters left: 6 (13 enodes) 20.417 * * [simplify]: iters left: 5 (54 enodes) 20.426 * * [simplify]: iters left: 4 (89 enodes) 20.456 * * [simplify]: iters left: 3 (136 enodes) 20.499 * * [simplify]: iters left: 2 (221 enodes) 20.551 * * [simplify]: iters left: 1 (444 enodes) 20.717 * * [simplify]: Extracting #0: cost 1 inf + 0 20.717 * * [simplify]: Extracting #1: cost 51 inf + 0 20.717 * * [simplify]: Extracting #2: cost 141 inf + 0 20.718 * * [simplify]: Extracting #3: cost 217 inf + 3 20.719 * * [simplify]: Extracting #4: cost 206 inf + 1176 20.722 * * [simplify]: Extracting #5: cost 128 inf + 22380 20.737 * * [simplify]: Extracting #6: cost 23 inf + 101172 20.765 * * [simplify]: Extracting #7: cost 0 inf + 119655 20.789 * * [simplify]: Extracting #8: cost 0 inf + 116960 20.810 * * [simplify]: Extracting #9: cost 0 inf + 116204 20.847 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 20.847 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 20.847 * * * * [progress]: [ 81 / 133 ] simplifiying candidate # 20.848 * [simplify]: Simplifying (/ 1 1) 20.848 * * [simplify]: iters left: 2 (2 enodes) 20.850 * * [simplify]: iters left: 1 (6 enodes) 20.852 * * [simplify]: Extracting #0: cost 1 inf + 0 20.852 * * [simplify]: Extracting #1: cost 0 inf + 1 20.852 * [simplify]: Simplified to 1 20.852 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))) 20.852 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 20.852 * * [simplify]: iters left: 6 (12 enodes) 20.860 * * [simplify]: iters left: 5 (51 enodes) 20.878 * * [simplify]: iters left: 4 (86 enodes) 20.907 * * [simplify]: iters left: 3 (133 enodes) 20.950 * * [simplify]: iters left: 2 (218 enodes) 21.034 * * [simplify]: iters left: 1 (444 enodes) 21.225 * * [simplify]: Extracting #0: cost 1 inf + 0 21.225 * * [simplify]: Extracting #1: cost 39 inf + 0 21.226 * * [simplify]: Extracting #2: cost 126 inf + 0 21.228 * * [simplify]: Extracting #3: cost 201 inf + 4 21.230 * * [simplify]: Extracting #4: cost 191 inf + 1382 21.235 * * [simplify]: Extracting #5: cost 133 inf + 10319 21.243 * * [simplify]: Extracting #6: cost 56 inf + 58095 21.260 * * [simplify]: Extracting #7: cost 0 inf + 104434 21.284 * * [simplify]: Extracting #8: cost 0 inf + 104433 21.300 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) 21.300 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))) 21.300 * * * * [progress]: [ 82 / 133 ] simplifiying candidate # 21.301 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 21.301 * * [simplify]: iters left: 6 (15 enodes) 21.305 * * [simplify]: iters left: 5 (65 enodes) 21.324 * * [simplify]: iters left: 4 (109 enodes) 21.360 * * [simplify]: iters left: 3 (185 enodes) 21.409 * * [simplify]: iters left: 2 (368 enodes) 21.516 * * [simplify]: Extracting #0: cost 1 inf + 0 21.516 * * [simplify]: Extracting #1: cost 54 inf + 0 21.516 * * [simplify]: Extracting #2: cost 144 inf + 0 21.517 * * [simplify]: Extracting #3: cost 223 inf + 2 21.518 * * [simplify]: Extracting #4: cost 205 inf + 3811 21.525 * * [simplify]: Extracting #5: cost 131 inf + 29200 21.543 * * [simplify]: Extracting #6: cost 16 inf + 109445 21.564 * * [simplify]: Extracting #7: cost 0 inf + 122156 21.591 * * [simplify]: Extracting #8: cost 0 inf + 122025 21.625 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 21.625 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt k))))) 21.625 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt k))) 21.625 * * [simplify]: iters left: 6 (14 enodes) 21.633 * * [simplify]: iters left: 5 (60 enodes) 21.653 * * [simplify]: iters left: 4 (98 enodes) 21.685 * * [simplify]: iters left: 3 (157 enodes) 21.721 * * [simplify]: iters left: 2 (290 enodes) 21.824 * * [simplify]: Extracting #0: cost 1 inf + 0 21.824 * * [simplify]: Extracting #1: cost 30 inf + 0 21.825 * * [simplify]: Extracting #2: cost 72 inf + 0 21.825 * * [simplify]: Extracting #3: cost 138 inf + 2 21.826 * * [simplify]: Extracting #4: cost 143 inf + 890 21.831 * * [simplify]: Extracting #5: cost 80 inf + 17711 21.845 * * [simplify]: Extracting #6: cost 8 inf + 48515 21.862 * * [simplify]: Extracting #7: cost 0 inf + 53624 21.879 * * [simplify]: Extracting #8: cost 0 inf + 53424 21.896 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (cbrt (sqrt k))) 21.896 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (cbrt (sqrt k))))) 21.896 * * * * [progress]: [ 83 / 133 ] simplifiying candidate # 21.897 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt k) (cbrt k)))) 21.897 * * [simplify]: iters left: 6 (15 enodes) 21.905 * * [simplify]: iters left: 5 (64 enodes) 21.926 * * [simplify]: iters left: 4 (102 enodes) 21.958 * * [simplify]: iters left: 3 (161 enodes) 22.017 * * [simplify]: iters left: 2 (288 enodes) 22.075 * * [simplify]: Extracting #0: cost 1 inf + 0 22.076 * * [simplify]: Extracting #1: cost 30 inf + 0 22.076 * * [simplify]: Extracting #2: cost 73 inf + 0 22.076 * * [simplify]: Extracting #3: cost 138 inf + 2 22.077 * * [simplify]: Extracting #4: cost 143 inf + 389 22.078 * * [simplify]: Extracting #5: cost 103 inf + 4729 22.082 * * [simplify]: Extracting #6: cost 27 inf + 38097 22.090 * * [simplify]: Extracting #7: cost 0 inf + 59534 22.097 * * [simplify]: Extracting #8: cost 0 inf + 59452 22.105 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (fabs (cbrt k))) 22.105 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (fabs (cbrt k))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt k))))) 22.106 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt k))) 22.106 * * [simplify]: iters left: 6 (14 enodes) 22.110 * * [simplify]: iters left: 5 (60 enodes) 22.120 * * [simplify]: iters left: 4 (98 enodes) 22.136 * * [simplify]: iters left: 3 (157 enodes) 22.169 * * [simplify]: iters left: 2 (290 enodes) 22.245 * * [simplify]: Extracting #0: cost 1 inf + 0 22.246 * * [simplify]: Extracting #1: cost 30 inf + 0 22.246 * * [simplify]: Extracting #2: cost 72 inf + 0 22.247 * * [simplify]: Extracting #3: cost 138 inf + 2 22.248 * * [simplify]: Extracting #4: cost 143 inf + 890 22.253 * * [simplify]: Extracting #5: cost 80 inf + 17791 22.267 * * [simplify]: Extracting #6: cost 8 inf + 48595 22.284 * * [simplify]: Extracting #7: cost 0 inf + 53704 22.300 * * [simplify]: Extracting #8: cost 0 inf + 53504 22.316 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (cbrt k))) 22.316 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (cbrt k))))) 22.316 * * * * [progress]: [ 84 / 133 ] simplifiying candidate # 22.317 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 22.317 * * [simplify]: iters left: 6 (14 enodes) 22.322 * * [simplify]: iters left: 5 (60 enodes) 22.332 * * [simplify]: iters left: 4 (98 enodes) 22.354 * * [simplify]: iters left: 3 (157 enodes) 22.411 * * [simplify]: iters left: 2 (290 enodes) 22.525 * * [simplify]: Extracting #0: cost 1 inf + 0 22.526 * * [simplify]: Extracting #1: cost 30 inf + 0 22.526 * * [simplify]: Extracting #2: cost 72 inf + 0 22.527 * * [simplify]: Extracting #3: cost 138 inf + 2 22.528 * * [simplify]: Extracting #4: cost 143 inf + 890 22.533 * * [simplify]: Extracting #5: cost 80 inf + 17431 22.546 * * [simplify]: Extracting #6: cost 8 inf + 47315 22.563 * * [simplify]: Extracting #7: cost 0 inf + 52144 22.580 * * [simplify]: Extracting #8: cost 0 inf + 51944 22.596 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 22.596 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))))) 22.597 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 22.597 * * [simplify]: iters left: 6 (14 enodes) 22.605 * * [simplify]: iters left: 5 (60 enodes) 22.625 * * [simplify]: iters left: 4 (98 enodes) 22.660 * * [simplify]: iters left: 3 (157 enodes) 22.696 * * [simplify]: iters left: 2 (290 enodes) 22.767 * * [simplify]: Extracting #0: cost 1 inf + 0 22.768 * * [simplify]: Extracting #1: cost 30 inf + 0 22.768 * * [simplify]: Extracting #2: cost 72 inf + 0 22.768 * * [simplify]: Extracting #3: cost 138 inf + 2 22.769 * * [simplify]: Extracting #4: cost 143 inf + 890 22.771 * * [simplify]: Extracting #5: cost 80 inf + 17431 22.778 * * [simplify]: Extracting #6: cost 8 inf + 47315 22.787 * * [simplify]: Extracting #7: cost 0 inf + 52144 22.803 * * [simplify]: Extracting #8: cost 0 inf + 51944 22.820 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 22.820 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))))) 22.820 * * * * [progress]: [ 85 / 133 ] simplifiying candidate # 22.820 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) 22.820 * * [simplify]: iters left: 6 (13 enodes) 22.829 * * [simplify]: iters left: 5 (57 enodes) 22.847 * * [simplify]: iters left: 4 (93 enodes) 22.875 * * [simplify]: iters left: 3 (148 enodes) 22.906 * * [simplify]: iters left: 2 (271 enodes) 22.982 * * [simplify]: iters left: 1 (497 enodes) 23.261 * * [simplify]: Extracting #0: cost 1 inf + 0 23.261 * * [simplify]: Extracting #1: cost 54 inf + 0 23.262 * * [simplify]: Extracting #2: cost 165 inf + 2 23.269 * * [simplify]: Extracting #3: cost 238 inf + 220 23.272 * * [simplify]: Extracting #4: cost 231 inf + 855 23.279 * * [simplify]: Extracting #5: cost 139 inf + 14771 23.307 * * [simplify]: Extracting #6: cost 27 inf + 65033 23.338 * * [simplify]: Extracting #7: cost 0 inf + 84937 23.359 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 4)) 23.359 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 23.359 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)) 23.359 * * [simplify]: iters left: 6 (13 enodes) 23.363 * * [simplify]: iters left: 5 (57 enodes) 23.383 * * [simplify]: iters left: 4 (95 enodes) 23.417 * * [simplify]: iters left: 3 (154 enodes) 23.473 * * [simplify]: iters left: 2 (287 enodes) 23.544 * * [simplify]: Extracting #0: cost 1 inf + 0 23.544 * * [simplify]: Extracting #1: cost 30 inf + 0 23.545 * * [simplify]: Extracting #2: cost 73 inf + 0 23.545 * * [simplify]: Extracting #3: cost 136 inf + 3 23.546 * * [simplify]: Extracting #4: cost 130 inf + 1385 23.548 * * [simplify]: Extracting #5: cost 76 inf + 14535 23.554 * * [simplify]: Extracting #6: cost 5 inf + 50457 23.563 * * [simplify]: Extracting #7: cost 0 inf + 54374 23.571 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt k)) 23.571 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt k)))) 23.571 * * * * [progress]: [ 86 / 133 ] simplifiying candidate # 23.571 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 23.571 * * [simplify]: iters left: 6 (14 enodes) 23.575 * * [simplify]: iters left: 5 (60 enodes) 23.585 * * [simplify]: iters left: 4 (98 enodes) 23.609 * * [simplify]: iters left: 3 (157 enodes) 23.664 * * [simplify]: iters left: 2 (290 enodes) 23.738 * * [simplify]: Extracting #0: cost 1 inf + 0 23.739 * * [simplify]: Extracting #1: cost 30 inf + 0 23.739 * * [simplify]: Extracting #2: cost 72 inf + 0 23.739 * * [simplify]: Extracting #3: cost 138 inf + 2 23.740 * * [simplify]: Extracting #4: cost 143 inf + 890 23.742 * * [simplify]: Extracting #5: cost 80 inf + 17431 23.750 * * [simplify]: Extracting #6: cost 8 inf + 47315 23.759 * * [simplify]: Extracting #7: cost 0 inf + 52144 23.767 * * [simplify]: Extracting #8: cost 0 inf + 51944 23.776 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 23.776 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))))) 23.776 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 23.776 * * [simplify]: iters left: 6 (14 enodes) 23.780 * * [simplify]: iters left: 5 (60 enodes) 23.790 * * [simplify]: iters left: 4 (98 enodes) 23.809 * * [simplify]: iters left: 3 (157 enodes) 23.839 * * [simplify]: iters left: 2 (290 enodes) 23.902 * * [simplify]: Extracting #0: cost 1 inf + 0 23.903 * * [simplify]: Extracting #1: cost 30 inf + 0 23.903 * * [simplify]: Extracting #2: cost 72 inf + 0 23.904 * * [simplify]: Extracting #3: cost 138 inf + 2 23.905 * * [simplify]: Extracting #4: cost 143 inf + 890 23.909 * * [simplify]: Extracting #5: cost 80 inf + 17431 23.916 * * [simplify]: Extracting #6: cost 8 inf + 47315 23.924 * * [simplify]: Extracting #7: cost 0 inf + 52144 23.932 * * [simplify]: Extracting #8: cost 0 inf + 51944 23.942 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 23.942 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))))) 23.943 * * * * [progress]: [ 87 / 133 ] simplifiying candidate # 23.943 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) 23.943 * * [simplify]: iters left: 6 (12 enodes) 23.951 * * [simplify]: iters left: 5 (52 enodes) 23.960 * * [simplify]: iters left: 4 (90 enodes) 23.979 * * [simplify]: iters left: 3 (151 enodes) 24.014 * * [simplify]: iters left: 2 (287 enodes) 24.103 * * [simplify]: Extracting #0: cost 1 inf + 0 24.103 * * [simplify]: Extracting #1: cost 31 inf + 0 24.104 * * [simplify]: Extracting #2: cost 99 inf + 2 24.105 * * [simplify]: Extracting #3: cost 141 inf + 219 24.106 * * [simplify]: Extracting #4: cost 139 inf + 807 24.109 * * [simplify]: Extracting #5: cost 85 inf + 6440 24.116 * * [simplify]: Extracting #6: cost 41 inf + 22533 24.128 * * [simplify]: Extracting #7: cost 3 inf + 47776 24.143 * * [simplify]: Extracting #8: cost 0 inf + 50387 24.158 * [simplify]: Simplified to (pow (* (* PI 2) n) (- 1/4 (/ k 4))) 24.158 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 24.158 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)) 24.158 * * [simplify]: iters left: 6 (13 enodes) 24.166 * * [simplify]: iters left: 5 (57 enodes) 24.185 * * [simplify]: iters left: 4 (95 enodes) 24.219 * * [simplify]: iters left: 3 (154 enodes) 24.274 * * [simplify]: iters left: 2 (287 enodes) 24.367 * * [simplify]: Extracting #0: cost 1 inf + 0 24.367 * * [simplify]: Extracting #1: cost 30 inf + 0 24.367 * * [simplify]: Extracting #2: cost 73 inf + 0 24.368 * * [simplify]: Extracting #3: cost 136 inf + 3 24.368 * * [simplify]: Extracting #4: cost 130 inf + 1385 24.371 * * [simplify]: Extracting #5: cost 76 inf + 14535 24.382 * * [simplify]: Extracting #6: cost 5 inf + 50457 24.397 * * [simplify]: Extracting #7: cost 0 inf + 54374 24.412 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt k)) 24.412 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt k)))) 24.412 * * * * [progress]: [ 88 / 133 ] simplifiying candidate # 24.412 * * * * [progress]: [ 89 / 133 ] simplifiying candidate # 24.412 * * * * [progress]: [ 90 / 133 ] simplifiying candidate # 24.413 * * * * [progress]: [ 91 / 133 ] simplifiying candidate # 24.413 * [simplify]: Simplifying (cbrt (sqrt k)) 24.413 * * [simplify]: iters left: 2 (3 enodes) 24.414 * * [simplify]: iters left: 1 (9 enodes) 24.417 * * [simplify]: Extracting #0: cost 1 inf + 0 24.417 * * [simplify]: Extracting #1: cost 3 inf + 0 24.417 * * [simplify]: Extracting #2: cost 5 inf + 0 24.417 * * [simplify]: Extracting #3: cost 4 inf + 1 24.417 * * [simplify]: Extracting #4: cost 0 inf + 325 24.417 * [simplify]: Simplified to (cbrt (sqrt k)) 24.417 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k)))) 24.417 * * * * [progress]: [ 92 / 133 ] simplifiying candidate # 24.417 * [simplify]: Simplifying (sqrt (cbrt k)) 24.418 * * [simplify]: iters left: 2 (3 enodes) 24.419 * * [simplify]: iters left: 1 (9 enodes) 24.421 * * [simplify]: Extracting #0: cost 1 inf + 0 24.421 * * [simplify]: Extracting #1: cost 3 inf + 0 24.421 * * [simplify]: Extracting #2: cost 5 inf + 0 24.421 * * [simplify]: Extracting #3: cost 4 inf + 1 24.421 * * [simplify]: Extracting #4: cost 0 inf + 405 24.421 * [simplify]: Simplified to (sqrt (cbrt k)) 24.422 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k)))) 24.422 * * * * [progress]: [ 93 / 133 ] simplifiying candidate # 24.422 * [simplify]: Simplifying (sqrt (sqrt k)) 24.422 * * [simplify]: iters left: 2 (3 enodes) 24.423 * * [simplify]: iters left: 1 (9 enodes) 24.426 * * [simplify]: Extracting #0: cost 1 inf + 0 24.426 * * [simplify]: Extracting #1: cost 3 inf + 0 24.426 * * [simplify]: Extracting #2: cost 5 inf + 0 24.426 * * [simplify]: Extracting #3: cost 4 inf + 1 24.426 * * [simplify]: Extracting #4: cost 0 inf + 245 24.426 * [simplify]: Simplified to (sqrt (sqrt k)) 24.426 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 24.426 * * * * [progress]: [ 94 / 133 ] simplifiying candidate # 24.427 * [simplify]: Simplifying (sqrt k) 24.427 * * [simplify]: iters left: 1 (2 enodes) 24.428 * * [simplify]: Extracting #0: cost 1 inf + 0 24.428 * * [simplify]: Extracting #1: cost 3 inf + 0 24.428 * * [simplify]: Extracting #2: cost 2 inf + 1 24.428 * * [simplify]: Extracting #3: cost 0 inf + 83 24.428 * [simplify]: Simplified to (sqrt k) 24.428 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt 1)) (sqrt k))) 24.428 * * * * [progress]: [ 95 / 133 ] simplifiying candidate # 24.428 * [simplify]: Simplifying (sqrt (sqrt k)) 24.428 * * [simplify]: iters left: 2 (3 enodes) 24.429 * * [simplify]: iters left: 1 (9 enodes) 24.432 * * [simplify]: Extracting #0: cost 1 inf + 0 24.432 * * [simplify]: Extracting #1: cost 3 inf + 0 24.432 * * [simplify]: Extracting #2: cost 5 inf + 0 24.432 * * [simplify]: Extracting #3: cost 4 inf + 1 24.432 * * [simplify]: Extracting #4: cost 0 inf + 245 24.432 * [simplify]: Simplified to (sqrt (sqrt k)) 24.432 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 24.432 * * * * [progress]: [ 96 / 133 ] simplifiying candidate # 24.433 * [simplify]: Simplifying (sqrt k) 24.433 * * [simplify]: iters left: 1 (2 enodes) 24.433 * * [simplify]: Extracting #0: cost 1 inf + 0 24.433 * * [simplify]: Extracting #1: cost 3 inf + 0 24.434 * * [simplify]: Extracting #2: cost 2 inf + 1 24.434 * * [simplify]: Extracting #3: cost 0 inf + 83 24.434 * [simplify]: Simplified to (sqrt k) 24.434 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) (sqrt k))) 24.434 * * * * [progress]: [ 97 / 133 ] simplifiying candidate # 24.434 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 24.434 * * [simplify]: iters left: 5 (7 enodes) 24.439 * * [simplify]: iters left: 4 (32 enodes) 24.450 * * [simplify]: iters left: 3 (57 enodes) 24.472 * * [simplify]: iters left: 2 (88 enodes) 24.502 * * [simplify]: iters left: 1 (156 enodes) 24.567 * * [simplify]: Extracting #0: cost 1 inf + 0 24.567 * * [simplify]: Extracting #1: cost 13 inf + 0 24.567 * * [simplify]: Extracting #2: cost 49 inf + 2 24.568 * * [simplify]: Extracting #3: cost 80 inf + 6 24.569 * * [simplify]: Extracting #4: cost 58 inf + 1840 24.571 * * [simplify]: Extracting #5: cost 22 inf + 9206 24.577 * * [simplify]: Extracting #6: cost 1 inf + 20886 24.583 * * [simplify]: Extracting #7: cost 0 inf + 21301 24.586 * * [simplify]: Extracting #8: cost 0 inf + 21130 24.589 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 24.590 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 24.590 * * * * [progress]: [ 98 / 133 ] simplifiying candidate # 24.590 * [simplify]: Simplifying (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 24.590 * * [simplify]: iters left: 6 (12 enodes) 24.596 * * [simplify]: iters left: 5 (51 enodes) 24.605 * * [simplify]: iters left: 4 (84 enodes) 24.619 * * [simplify]: iters left: 3 (125 enodes) 24.649 * * [simplify]: iters left: 2 (198 enodes) 24.723 * * [simplify]: iters left: 1 (353 enodes) 24.882 * * [simplify]: Extracting #0: cost 1 inf + 0 24.882 * * [simplify]: Extracting #1: cost 3 inf + 0 24.882 * * [simplify]: Extracting #2: cost 5 inf + 0 24.882 * * [simplify]: Extracting #3: cost 28 inf + 0 24.882 * * [simplify]: Extracting #4: cost 101 inf + 1 24.883 * * [simplify]: Extracting #5: cost 136 inf + 176 24.884 * * [simplify]: Extracting #6: cost 126 inf + 1348 24.886 * * [simplify]: Extracting #7: cost 70 inf + 12457 24.893 * * [simplify]: Extracting #8: cost 19 inf + 42176 24.905 * * [simplify]: Extracting #9: cost 0 inf + 57297 24.922 * * [simplify]: Extracting #10: cost 0 inf + 56855 24.932 * * [simplify]: Extracting #11: cost 0 inf + 56816 24.942 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 24.942 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 24.942 * * * * [progress]: [ 99 / 133 ] simplifiying candidate # 24.942 * [simplify]: Simplifying (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 24.942 * * [simplify]: iters left: 6 (11 enodes) 24.946 * * [simplify]: iters left: 5 (48 enodes) 24.954 * * [simplify]: iters left: 4 (78 enodes) 24.972 * * [simplify]: iters left: 3 (120 enodes) 25.006 * * [simplify]: iters left: 2 (211 enodes) 25.072 * * [simplify]: iters left: 1 (380 enodes) 25.234 * * [simplify]: Extracting #0: cost 1 inf + 0 25.234 * * [simplify]: Extracting #1: cost 4 inf + 0 25.234 * * [simplify]: Extracting #2: cost 29 inf + 0 25.234 * * [simplify]: Extracting #3: cost 113 inf + 1 25.235 * * [simplify]: Extracting #4: cost 155 inf + 220 25.236 * * [simplify]: Extracting #5: cost 153 inf + 561 25.237 * * [simplify]: Extracting #6: cost 121 inf + 2833 25.240 * * [simplify]: Extracting #7: cost 68 inf + 14038 25.247 * * [simplify]: Extracting #8: cost 15 inf + 50044 25.265 * * [simplify]: Extracting #9: cost 0 inf + 59395 25.276 * * [simplify]: Extracting #10: cost 0 inf + 59194 25.286 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 25.287 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 25.287 * * * * [progress]: [ 100 / 133 ] simplifiying candidate # 25.287 * * * * [progress]: [ 101 / 133 ] simplifiying candidate # 25.287 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 25.287 * * [simplify]: iters left: 6 (11 enodes) 25.291 * * [simplify]: iters left: 5 (51 enodes) 25.304 * * [simplify]: iters left: 4 (87 enodes) 25.320 * * [simplify]: iters left: 3 (143 enodes) 25.356 * * [simplify]: iters left: 2 (259 enodes) 25.439 * * [simplify]: iters left: 1 (469 enodes) 25.631 * * [simplify]: Extracting #0: cost 1 inf + 0 25.631 * * [simplify]: Extracting #1: cost 24 inf + 0 25.631 * * [simplify]: Extracting #2: cost 110 inf + 1 25.632 * * [simplify]: Extracting #3: cost 192 inf + 178 25.633 * * [simplify]: Extracting #4: cost 178 inf + 1845 25.637 * * [simplify]: Extracting #5: cost 89 inf + 12477 25.649 * * [simplify]: Extracting #6: cost 41 inf + 28219 25.660 * * [simplify]: Extracting #7: cost 4 inf + 58625 25.670 * * [simplify]: Extracting #8: cost 0 inf + 62670 25.681 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/4 (- 1 k))) 25.681 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 25.681 * * * * [progress]: [ 102 / 133 ] simplifiying candidate # 25.681 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 2)) 25.682 * * [simplify]: iters left: 5 (8 enodes) 25.691 * * [simplify]: iters left: 4 (35 enodes) 25.705 * * [simplify]: iters left: 3 (63 enodes) 25.731 * * [simplify]: iters left: 2 (108 enodes) 25.763 * * [simplify]: iters left: 1 (162 enodes) 25.814 * * [simplify]: Extracting #0: cost 1 inf + 0 25.814 * * [simplify]: Extracting #1: cost 12 inf + 0 25.815 * * [simplify]: Extracting #2: cost 40 inf + 2 25.815 * * [simplify]: Extracting #3: cost 40 inf + 9 25.816 * * [simplify]: Extracting #4: cost 25 inf + 2233 25.818 * * [simplify]: Extracting #5: cost 10 inf + 8991 25.820 * * [simplify]: Extracting #6: cost 0 inf + 14572 25.822 * [simplify]: Simplified to (sqrt (* (* PI 2) n)) 25.822 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* PI 2) n)) (* (sqrt k) (pow (* n (* 2 PI)) (/ k 2))))) 25.822 * * * * [progress]: [ 103 / 133 ] simplifiying candidate #real (real->posit16 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))> 25.822 * * * * [progress]: [ 104 / 133 ] simplifiying candidate # 25.823 * * * * [progress]: [ 105 / 133 ] simplifiying candidate # 25.823 * * * * [progress]: [ 106 / 133 ] simplifiying candidate # 25.823 * [simplify]: Simplifying (* n (* 2 PI)) 25.823 * * [simplify]: iters left: 4 (5 enodes) 25.825 * * [simplify]: iters left: 3 (19 enodes) 25.830 * * [simplify]: iters left: 2 (27 enodes) 25.834 * * [simplify]: iters left: 1 (32 enodes) 25.838 * * [simplify]: Extracting #0: cost 1 inf + 0 25.838 * * [simplify]: Extracting #1: cost 8 inf + 0 25.838 * * [simplify]: Extracting #2: cost 7 inf + 45 25.838 * * [simplify]: Extracting #3: cost 0 inf + 421 25.838 * [simplify]: Simplified to (* (* PI 2) n) 25.838 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (sqrt k))) 25.838 * * * * [progress]: [ 107 / 133 ] simplifiying candidate # 25.839 * [simplify]: Simplifying (* n (* 2 PI)) 25.839 * * [simplify]: iters left: 4 (5 enodes) 25.840 * * [simplify]: iters left: 3 (19 enodes) 25.843 * * [simplify]: iters left: 2 (27 enodes) 25.847 * * [simplify]: iters left: 1 (32 enodes) 25.851 * * [simplify]: Extracting #0: cost 1 inf + 0 25.851 * * [simplify]: Extracting #1: cost 8 inf + 0 25.851 * * [simplify]: Extracting #2: cost 7 inf + 45 25.851 * * [simplify]: Extracting #3: cost 0 inf + 421 25.851 * [simplify]: Simplified to (* (* PI 2) n) 25.851 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (sqrt k))) 25.851 * * * * [progress]: [ 108 / 133 ] simplifiying candidate # 25.851 * * * * [progress]: [ 109 / 133 ] simplifiying candidate # 25.852 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI))) 25.852 * * [simplify]: iters left: 5 (8 enodes) 25.856 * * [simplify]: iters left: 4 (28 enodes) 25.865 * * [simplify]: iters left: 3 (36 enodes) 25.871 * * [simplify]: iters left: 2 (42 enodes) 25.877 * * [simplify]: Extracting #0: cost 1 inf + 0 25.877 * * [simplify]: Extracting #1: cost 8 inf + 0 25.877 * * [simplify]: Extracting #2: cost 17 inf + 0 25.877 * * [simplify]: Extracting #3: cost 12 inf + 145 25.877 * * [simplify]: Extracting #4: cost 5 inf + 1197 25.877 * * [simplify]: Extracting #5: cost 1 inf + 1925 25.878 * * [simplify]: Extracting #6: cost 0 inf + 2107 25.878 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI))) 25.878 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (- 1 k) 2)) (sqrt k))) 25.878 * * * * [progress]: [ 110 / 133 ] simplifiying candidate # 25.878 * [simplify]: Simplifying (+ (log n) (log (* 2 PI))) 25.878 * * [simplify]: iters left: 5 (7 enodes) 25.880 * * [simplify]: iters left: 4 (26 enodes) 25.884 * * [simplify]: iters left: 3 (35 enodes) 25.889 * * [simplify]: iters left: 2 (44 enodes) 25.895 * * [simplify]: Extracting #0: cost 1 inf + 0 25.895 * * [simplify]: Extracting #1: cost 8 inf + 0 25.895 * * [simplify]: Extracting #2: cost 18 inf + 0 25.895 * * [simplify]: Extracting #3: cost 15 inf + 74 25.895 * * [simplify]: Extracting #4: cost 8 inf + 554 25.896 * * [simplify]: Extracting #5: cost 0 inf + 1911 25.896 * [simplify]: Simplified to (+ (log n) (log (* 2 PI))) 25.896 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (exp (+ (log n) (log (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k))) 25.896 * * * * [progress]: [ 111 / 133 ] simplifiying candidate # 25.896 * * * * [progress]: [ 112 / 133 ] simplifiying candidate # 25.896 * * * * [progress]: [ 113 / 133 ] simplifiying candidate # 25.896 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI))) 25.896 * * [simplify]: iters left: 6 (11 enodes) 25.900 * * [simplify]: iters left: 5 (48 enodes) 25.910 * * [simplify]: iters left: 4 (121 enodes) 25.942 * * [simplify]: iters left: 3 (348 enodes) 26.135 * * [simplify]: Extracting #0: cost 1 inf + 0 26.135 * * [simplify]: Extracting #1: cost 67 inf + 0 26.136 * * [simplify]: Extracting #2: cost 165 inf + 786 26.138 * * [simplify]: Extracting #3: cost 85 inf + 10177 26.144 * * [simplify]: Extracting #4: cost 9 inf + 26399 26.150 * * [simplify]: Extracting #5: cost 0 inf + 28546 26.162 * * [simplify]: Extracting #6: cost 0 inf + 28506 26.175 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI)) 26.175 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (cbrt (* (* (* (* n PI) (* n PI)) 8) (* n PI))) (/ (- 1 k) 2)) (sqrt k))) 26.175 * * * * [progress]: [ 114 / 133 ] simplifiying candidate # 26.175 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI))) 26.176 * * [simplify]: iters left: 6 (9 enodes) 26.181 * * [simplify]: iters left: 5 (45 enodes) 26.199 * * [simplify]: iters left: 4 (117 enodes) 26.263 * * [simplify]: iters left: 3 (374 enodes) 26.554 * * [simplify]: Extracting #0: cost 1 inf + 0 26.554 * * [simplify]: Extracting #1: cost 77 inf + 0 26.555 * * [simplify]: Extracting #2: cost 184 inf + 984 26.558 * * [simplify]: Extracting #3: cost 106 inf + 11690 26.574 * * [simplify]: Extracting #4: cost 6 inf + 30376 26.584 * * [simplify]: Extracting #5: cost 0 inf + 31644 26.593 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n)) 26.593 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (cbrt (* (* (* (* PI n) (* PI n)) 8) (* PI n))) (/ (- 1 k) 2)) (sqrt k))) 26.593 * * * * [progress]: [ 115 / 133 ] simplifiying candidate # 26.593 * * * * [progress]: [ 116 / 133 ] simplifiying candidate # 26.593 * * * * [progress]: [ 117 / 133 ] simplifiying candidate # 26.593 * * * * [progress]: [ 118 / 133 ] simplifiying candidate # 26.593 * * * * [progress]: [ 119 / 133 ] simplifiying candidate # 26.593 * * * * [progress]: [ 120 / 133 ] simplifiying candidate # 26.593 * [simplify]: Simplifying (* (cbrt n) (cbrt n)) 26.593 * * [simplify]: iters left: 3 (3 enodes) 26.594 * * [simplify]: iters left: 2 (9 enodes) 26.595 * * [simplify]: Extracting #0: cost 1 inf + 0 26.595 * * [simplify]: Extracting #1: cost 3 inf + 0 26.596 * * [simplify]: Extracting #2: cost 5 inf + 0 26.596 * * [simplify]: Extracting #3: cost 4 inf + 1 26.596 * * [simplify]: Extracting #4: cost 0 inf + 405 26.596 * [simplify]: Simplified to (* (cbrt n) (cbrt n)) 26.596 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (- 1 k) 2)) (sqrt k))) 26.596 * * * * [progress]: [ 121 / 133 ] simplifiying candidate # 26.596 * [simplify]: Simplifying (sqrt n) 26.596 * * [simplify]: iters left: 1 (2 enodes) 26.596 * * [simplify]: Extracting #0: cost 1 inf + 0 26.596 * * [simplify]: Extracting #1: cost 3 inf + 0 26.596 * * [simplify]: Extracting #2: cost 2 inf + 1 26.596 * * [simplify]: Extracting #3: cost 0 inf + 83 26.597 * [simplify]: Simplified to (sqrt n) 26.597 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (- 1 k) 2)) (sqrt k))) 26.597 * * * * [progress]: [ 122 / 133 ] simplifiying candidate # 26.597 * * * * [progress]: [ 123 / 133 ] simplifiying candidate #real (real->posit16 (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))> 26.597 * * * * [progress]: [ 124 / 133 ] simplifiying candidate # 26.597 * * * * [progress]: [ 125 / 133 ] simplifiying candidate # 26.597 * [simplify]: Simplifying (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))))) 26.597 * * [simplify]: iters left: 6 (37 enodes) 26.609 * * [simplify]: iters left: 5 (190 enodes) 26.667 * * [simplify]: Extracting #0: cost 1 inf + 0 26.667 * * [simplify]: Extracting #1: cost 22 inf + 0 26.667 * * [simplify]: Extracting #2: cost 108 inf + 1 26.667 * * [simplify]: Extracting #3: cost 171 inf + 46 26.669 * * [simplify]: Extracting #4: cost 189 inf + 427 26.673 * * [simplify]: Extracting #5: cost 128 inf + 16032 26.690 * * [simplify]: Extracting #6: cost 29 inf + 57153 26.705 * * [simplify]: Extracting #7: cost 4 inf + 75884 26.721 * * [simplify]: Extracting #8: cost 0 inf + 78767 26.753 * [simplify]: Simplified to (fma (* (log (* PI 2)) 1/4) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k k) (log n))) (- (fma (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k (log n)) (* k (log n)))) 1/8 (fma (* (* 1/8 (log (* PI 2))) (log (* PI 2))) (* (* k k) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (exp (* (+ (log n) (log (* PI 2))) 1/2)))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) 1/2))) 26.753 * [simplify]: Simplified (2 1) to (λ (k n) (/ (fma (* (log (* PI 2)) 1/4) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k k) (log n))) (- (fma (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k (log n)) (* k (log n)))) 1/8 (fma (* (* 1/8 (log (* PI 2))) (log (* PI 2))) (* (* k k) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (exp (* (+ (log n) (log (* PI 2))) 1/2)))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) 1/2))) (sqrt k))) 26.753 * * * * [progress]: [ 126 / 133 ] simplifiying candidate # 26.753 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 26.753 * * [simplify]: iters left: 6 (15 enodes) 26.759 * * [simplify]: iters left: 5 (65 enodes) 26.771 * * [simplify]: iters left: 4 (123 enodes) 26.818 * * [simplify]: iters left: 3 (367 enodes) 26.980 * * [simplify]: Extracting #0: cost 1 inf + 0 26.980 * * [simplify]: Extracting #1: cost 37 inf + 0 26.981 * * [simplify]: Extracting #2: cost 216 inf + 72 26.984 * * [simplify]: Extracting #3: cost 356 inf + 1622 26.990 * * [simplify]: Extracting #4: cost 219 inf + 28945 27.003 * * [simplify]: Extracting #5: cost 21 inf + 83197 27.023 * * [simplify]: Extracting #6: cost 0 inf + 89881 27.055 * * [simplify]: Extracting #7: cost 0 inf + 89729 27.087 * * [simplify]: Extracting #8: cost 0 inf + 89726 27.104 * [simplify]: Simplified to (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) 27.104 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) (sqrt k))) 27.104 * * * * [progress]: [ 127 / 133 ] simplifiying candidate # 27.104 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 27.104 * * [simplify]: iters left: 6 (16 enodes) 27.109 * * [simplify]: iters left: 5 (67 enodes) 27.128 * * [simplify]: iters left: 4 (134 enodes) 27.160 * * [simplify]: iters left: 3 (413 enodes) 27.431 * * [simplify]: Extracting #0: cost 1 inf + 0 27.431 * * [simplify]: Extracting #1: cost 39 inf + 0 27.432 * * [simplify]: Extracting #2: cost 241 inf + 72 27.440 * * [simplify]: Extracting #3: cost 450 inf + 903 27.446 * * [simplify]: Extracting #4: cost 376 inf + 10375 27.461 * * [simplify]: Extracting #5: cost 158 inf + 67083 27.481 * * [simplify]: Extracting #6: cost 12 inf + 118840 27.522 * * [simplify]: Extracting #7: cost 0 inf + 121984 27.568 * * [simplify]: Extracting #8: cost 0 inf + 121983 27.613 * [simplify]: Simplified to (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) 27.613 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) (sqrt k))) 27.613 * * * * [progress]: [ 128 / 133 ] simplifiying candidate # 27.614 * [simplify]: Simplifying (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))))))))))))))))))) 27.614 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 27.614 * * * * [progress]: [ 129 / 133 ] simplifiying candidate # 27.615 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3)))))))) 27.615 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 27.615 * * * * [progress]: [ 130 / 133 ] simplifiying candidate # 27.615 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))))))) 27.615 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 27.616 * * * * [progress]: [ 131 / 133 ] simplifiying candidate # 27.616 * [simplify]: Simplifying (* 2 (* n PI)) 27.616 * * [simplify]: iters left: 4 (5 enodes) 27.619 * * [simplify]: iters left: 3 (19 enodes) 27.626 * * [simplify]: iters left: 2 (27 enodes) 27.634 * * [simplify]: iters left: 1 (32 enodes) 27.643 * * [simplify]: Extracting #0: cost 1 inf + 0 27.643 * * [simplify]: Extracting #1: cost 8 inf + 0 27.643 * * [simplify]: Extracting #2: cost 7 inf + 45 27.643 * * [simplify]: Extracting #3: cost 0 inf + 421 27.643 * [simplify]: Simplified to (* (* PI n) 2) 27.643 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k))) 27.644 * * * * [progress]: [ 132 / 133 ] simplifiying candidate # 27.644 * [simplify]: Simplifying (* 2 (* n PI)) 27.644 * * [simplify]: iters left: 4 (5 enodes) 27.647 * * [simplify]: iters left: 3 (19 enodes) 27.653 * * [simplify]: iters left: 2 (27 enodes) 27.660 * * [simplify]: iters left: 1 (32 enodes) 27.669 * * [simplify]: Extracting #0: cost 1 inf + 0 27.669 * * [simplify]: Extracting #1: cost 8 inf + 0 27.669 * * [simplify]: Extracting #2: cost 7 inf + 45 27.669 * * [simplify]: Extracting #3: cost 0 inf + 421 27.669 * [simplify]: Simplified to (* (* PI n) 2) 27.669 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k))) 27.669 * * * * [progress]: [ 133 / 133 ] simplifiying candidate # 27.670 * [simplify]: Simplifying (* 2 (* n PI)) 27.670 * * [simplify]: iters left: 4 (5 enodes) 27.673 * * [simplify]: iters left: 3 (19 enodes) 27.679 * * [simplify]: iters left: 2 (27 enodes) 27.687 * * [simplify]: iters left: 1 (32 enodes) 27.695 * * [simplify]: Extracting #0: cost 1 inf + 0 27.695 * * [simplify]: Extracting #1: cost 8 inf + 0 27.695 * * [simplify]: Extracting #2: cost 7 inf + 45 27.695 * * [simplify]: Extracting #3: cost 0 inf + 421 27.696 * [simplify]: Simplified to (* (* PI n) 2) 27.696 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k))) 27.696 * * * [progress]: adding candidates to table 29.241 * * [progress]: iteration 2 / 4 29.241 * * * [progress]: picking best candidate 29.289 * * * * [pick]: Picked # 29.289 * * * [progress]: localizing error 29.323 * * * [progress]: generating rewritten candidates 29.323 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 29.362 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 29.373 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 29.400 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 29.444 * * * [progress]: generating series expansions 29.444 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 29.445 * [backup-simplify]: Simplify (pow (* (* 2 PI) n) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) 29.445 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0 29.445 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 29.445 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 29.446 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 29.446 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 29.446 * [taylor]: Taking taylor expansion of 1/2 in k 29.446 * [backup-simplify]: Simplify 1/2 into 1/2 29.446 * [taylor]: Taking taylor expansion of (- 1 k) in k 29.446 * [taylor]: Taking taylor expansion of 1 in k 29.446 * [backup-simplify]: Simplify 1 into 1 29.446 * [taylor]: Taking taylor expansion of k in k 29.446 * [backup-simplify]: Simplify 0 into 0 29.446 * [backup-simplify]: Simplify 1 into 1 29.446 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 29.446 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 29.446 * [taylor]: Taking taylor expansion of 2 in k 29.446 * [backup-simplify]: Simplify 2 into 2 29.446 * [taylor]: Taking taylor expansion of (* n PI) in k 29.446 * [taylor]: Taking taylor expansion of n in k 29.446 * [backup-simplify]: Simplify n into n 29.446 * [taylor]: Taking taylor expansion of PI in k 29.446 * [backup-simplify]: Simplify PI into PI 29.446 * [backup-simplify]: Simplify (* n PI) into (* n PI) 29.446 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 29.446 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 29.447 * [backup-simplify]: Simplify (- 0) into 0 29.447 * [backup-simplify]: Simplify (+ 1 0) into 1 29.447 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 29.448 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 29.448 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 29.448 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 29.448 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 29.448 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 29.448 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 29.448 * [taylor]: Taking taylor expansion of 1/2 in n 29.448 * [backup-simplify]: Simplify 1/2 into 1/2 29.448 * [taylor]: Taking taylor expansion of (- 1 k) in n 29.448 * [taylor]: Taking taylor expansion of 1 in n 29.448 * [backup-simplify]: Simplify 1 into 1 29.448 * [taylor]: Taking taylor expansion of k in n 29.448 * [backup-simplify]: Simplify k into k 29.448 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 29.448 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 29.448 * [taylor]: Taking taylor expansion of 2 in n 29.448 * [backup-simplify]: Simplify 2 into 2 29.448 * [taylor]: Taking taylor expansion of (* n PI) in n 29.448 * [taylor]: Taking taylor expansion of n in n 29.448 * [backup-simplify]: Simplify 0 into 0 29.448 * [backup-simplify]: Simplify 1 into 1 29.448 * [taylor]: Taking taylor expansion of PI in n 29.448 * [backup-simplify]: Simplify PI into PI 29.449 * [backup-simplify]: Simplify (* 0 PI) into 0 29.449 * [backup-simplify]: Simplify (* 2 0) into 0 29.451 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 29.452 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 29.453 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.453 * [backup-simplify]: Simplify (- k) into (- k) 29.453 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 29.453 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 29.455 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.456 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 29.457 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 29.457 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 29.457 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 29.457 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 29.457 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 29.457 * [taylor]: Taking taylor expansion of 1/2 in n 29.457 * [backup-simplify]: Simplify 1/2 into 1/2 29.457 * [taylor]: Taking taylor expansion of (- 1 k) in n 29.457 * [taylor]: Taking taylor expansion of 1 in n 29.457 * [backup-simplify]: Simplify 1 into 1 29.457 * [taylor]: Taking taylor expansion of k in n 29.457 * [backup-simplify]: Simplify k into k 29.457 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 29.457 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 29.457 * [taylor]: Taking taylor expansion of 2 in n 29.457 * [backup-simplify]: Simplify 2 into 2 29.457 * [taylor]: Taking taylor expansion of (* n PI) in n 29.457 * [taylor]: Taking taylor expansion of n in n 29.457 * [backup-simplify]: Simplify 0 into 0 29.457 * [backup-simplify]: Simplify 1 into 1 29.457 * [taylor]: Taking taylor expansion of PI in n 29.458 * [backup-simplify]: Simplify PI into PI 29.458 * [backup-simplify]: Simplify (* 0 PI) into 0 29.458 * [backup-simplify]: Simplify (* 2 0) into 0 29.460 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 29.462 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 29.463 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.463 * [backup-simplify]: Simplify (- k) into (- k) 29.463 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 29.463 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 29.464 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.465 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 29.466 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 29.466 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 29.466 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 29.466 * [taylor]: Taking taylor expansion of 1/2 in k 29.466 * [backup-simplify]: Simplify 1/2 into 1/2 29.466 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 29.466 * [taylor]: Taking taylor expansion of (- 1 k) in k 29.467 * [taylor]: Taking taylor expansion of 1 in k 29.467 * [backup-simplify]: Simplify 1 into 1 29.467 * [taylor]: Taking taylor expansion of k in k 29.467 * [backup-simplify]: Simplify 0 into 0 29.467 * [backup-simplify]: Simplify 1 into 1 29.467 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 29.467 * [taylor]: Taking taylor expansion of (log n) in k 29.467 * [taylor]: Taking taylor expansion of n in k 29.467 * [backup-simplify]: Simplify n into n 29.467 * [backup-simplify]: Simplify (log n) into (log n) 29.467 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 29.467 * [taylor]: Taking taylor expansion of (* 2 PI) in k 29.467 * [taylor]: Taking taylor expansion of 2 in k 29.467 * [backup-simplify]: Simplify 2 into 2 29.467 * [taylor]: Taking taylor expansion of PI in k 29.467 * [backup-simplify]: Simplify PI into PI 29.467 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.468 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.469 * [backup-simplify]: Simplify (- 0) into 0 29.469 * [backup-simplify]: Simplify (+ 1 0) into 1 29.470 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.471 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 29.472 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 29.473 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 29.474 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 29.475 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 29.476 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 29.478 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 29.479 * [backup-simplify]: Simplify (- 0) into 0 29.479 * [backup-simplify]: Simplify (+ 0 0) into 0 29.480 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 29.481 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.482 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 29.484 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 29.484 * [taylor]: Taking taylor expansion of 0 in k 29.484 * [backup-simplify]: Simplify 0 into 0 29.484 * [backup-simplify]: Simplify 0 into 0 29.485 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 29.486 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 29.488 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 29.488 * [backup-simplify]: Simplify (+ 0 0) into 0 29.488 * [backup-simplify]: Simplify (- 1) into -1 29.489 * [backup-simplify]: Simplify (+ 0 -1) into -1 29.490 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 29.492 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 29.495 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 29.498 * [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))))))) 29.500 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 29.501 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 29.504 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 29.505 * [backup-simplify]: Simplify (- 0) into 0 29.505 * [backup-simplify]: Simplify (+ 0 0) into 0 29.506 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 29.507 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.509 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 29.511 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 29.511 * [taylor]: Taking taylor expansion of 0 in k 29.511 * [backup-simplify]: Simplify 0 into 0 29.511 * [backup-simplify]: Simplify 0 into 0 29.511 * [backup-simplify]: Simplify 0 into 0 29.513 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 29.514 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 29.517 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 29.518 * [backup-simplify]: Simplify (+ 0 0) into 0 29.518 * [backup-simplify]: Simplify (- 0) into 0 29.519 * [backup-simplify]: Simplify (+ 0 0) into 0 29.520 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 29.523 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 29.527 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) 29.532 * [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))))) 29.541 * [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))))) 29.542 * [backup-simplify]: Simplify (pow (* (* 2 PI) (/ 1 n)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) 29.542 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 29.542 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 29.542 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 29.542 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 29.542 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 29.542 * [taylor]: Taking taylor expansion of 1/2 in k 29.542 * [backup-simplify]: Simplify 1/2 into 1/2 29.542 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 29.542 * [taylor]: Taking taylor expansion of 1 in k 29.542 * [backup-simplify]: Simplify 1 into 1 29.542 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.542 * [taylor]: Taking taylor expansion of k in k 29.542 * [backup-simplify]: Simplify 0 into 0 29.542 * [backup-simplify]: Simplify 1 into 1 29.542 * [backup-simplify]: Simplify (/ 1 1) into 1 29.542 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 29.543 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 29.543 * [taylor]: Taking taylor expansion of 2 in k 29.543 * [backup-simplify]: Simplify 2 into 2 29.543 * [taylor]: Taking taylor expansion of (/ PI n) in k 29.543 * [taylor]: Taking taylor expansion of PI in k 29.543 * [backup-simplify]: Simplify PI into PI 29.543 * [taylor]: Taking taylor expansion of n in k 29.543 * [backup-simplify]: Simplify n into n 29.543 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 29.543 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 29.543 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 29.543 * [backup-simplify]: Simplify (- 1) into -1 29.544 * [backup-simplify]: Simplify (+ 0 -1) into -1 29.544 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 29.544 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 29.545 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 29.545 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 29.545 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 29.545 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 29.545 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 29.545 * [taylor]: Taking taylor expansion of 1/2 in n 29.545 * [backup-simplify]: Simplify 1/2 into 1/2 29.545 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 29.545 * [taylor]: Taking taylor expansion of 1 in n 29.545 * [backup-simplify]: Simplify 1 into 1 29.545 * [taylor]: Taking taylor expansion of (/ 1 k) in n 29.545 * [taylor]: Taking taylor expansion of k in n 29.545 * [backup-simplify]: Simplify k into k 29.545 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 29.545 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 29.545 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 29.545 * [taylor]: Taking taylor expansion of 2 in n 29.545 * [backup-simplify]: Simplify 2 into 2 29.545 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.545 * [taylor]: Taking taylor expansion of PI in n 29.545 * [backup-simplify]: Simplify PI into PI 29.545 * [taylor]: Taking taylor expansion of n in n 29.545 * [backup-simplify]: Simplify 0 into 0 29.545 * [backup-simplify]: Simplify 1 into 1 29.546 * [backup-simplify]: Simplify (/ PI 1) into PI 29.546 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.547 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.547 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 29.547 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 29.547 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 29.549 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 29.550 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 29.551 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 29.551 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 29.551 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 29.551 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 29.551 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 29.551 * [taylor]: Taking taylor expansion of 1/2 in n 29.551 * [backup-simplify]: Simplify 1/2 into 1/2 29.551 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 29.551 * [taylor]: Taking taylor expansion of 1 in n 29.551 * [backup-simplify]: Simplify 1 into 1 29.551 * [taylor]: Taking taylor expansion of (/ 1 k) in n 29.551 * [taylor]: Taking taylor expansion of k in n 29.551 * [backup-simplify]: Simplify k into k 29.551 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 29.551 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 29.551 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 29.551 * [taylor]: Taking taylor expansion of 2 in n 29.551 * [backup-simplify]: Simplify 2 into 2 29.551 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.551 * [taylor]: Taking taylor expansion of PI in n 29.551 * [backup-simplify]: Simplify PI into PI 29.551 * [taylor]: Taking taylor expansion of n in n 29.551 * [backup-simplify]: Simplify 0 into 0 29.551 * [backup-simplify]: Simplify 1 into 1 29.552 * [backup-simplify]: Simplify (/ PI 1) into PI 29.552 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.553 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.553 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 29.554 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 29.554 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 29.555 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 29.556 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 29.557 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 29.557 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 29.557 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 29.557 * [taylor]: Taking taylor expansion of 1/2 in k 29.557 * [backup-simplify]: Simplify 1/2 into 1/2 29.557 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 29.557 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 29.557 * [taylor]: Taking taylor expansion of 1 in k 29.557 * [backup-simplify]: Simplify 1 into 1 29.558 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.558 * [taylor]: Taking taylor expansion of k in k 29.558 * [backup-simplify]: Simplify 0 into 0 29.558 * [backup-simplify]: Simplify 1 into 1 29.558 * [backup-simplify]: Simplify (/ 1 1) into 1 29.558 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 29.558 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 29.558 * [taylor]: Taking taylor expansion of (* 2 PI) in k 29.558 * [taylor]: Taking taylor expansion of 2 in k 29.558 * [backup-simplify]: Simplify 2 into 2 29.558 * [taylor]: Taking taylor expansion of PI in k 29.558 * [backup-simplify]: Simplify PI into PI 29.559 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.560 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.560 * [taylor]: Taking taylor expansion of (log n) in k 29.560 * [taylor]: Taking taylor expansion of n in k 29.560 * [backup-simplify]: Simplify n into n 29.560 * [backup-simplify]: Simplify (log n) into (log n) 29.560 * [backup-simplify]: Simplify (- 1) into -1 29.561 * [backup-simplify]: Simplify (+ 0 -1) into -1 29.561 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 29.562 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 29.563 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 29.564 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 29.565 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 29.566 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 29.567 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 29.568 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 29.570 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 29.570 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 29.570 * [backup-simplify]: Simplify (- 0) into 0 29.570 * [backup-simplify]: Simplify (+ 0 0) into 0 29.571 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 29.572 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 29.573 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 29.575 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 29.575 * [taylor]: Taking taylor expansion of 0 in k 29.575 * [backup-simplify]: Simplify 0 into 0 29.575 * [backup-simplify]: Simplify 0 into 0 29.575 * [backup-simplify]: Simplify 0 into 0 29.581 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.582 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 29.583 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 29.584 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 29.584 * [backup-simplify]: Simplify (- 0) into 0 29.584 * [backup-simplify]: Simplify (+ 0 0) into 0 29.585 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 29.585 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 29.586 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 29.588 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 29.588 * [taylor]: Taking taylor expansion of 0 in k 29.588 * [backup-simplify]: Simplify 0 into 0 29.588 * [backup-simplify]: Simplify 0 into 0 29.588 * [backup-simplify]: Simplify 0 into 0 29.588 * [backup-simplify]: Simplify 0 into 0 29.588 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.589 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 29.592 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 29.593 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 29.593 * [backup-simplify]: Simplify (- 0) into 0 29.593 * [backup-simplify]: Simplify (+ 0 0) into 0 29.594 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 29.595 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 29.596 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 29.598 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 29.598 * [taylor]: Taking taylor expansion of 0 in k 29.598 * [backup-simplify]: Simplify 0 into 0 29.598 * [backup-simplify]: Simplify 0 into 0 29.598 * [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)))))) 29.599 * [backup-simplify]: Simplify (pow (* (* 2 PI) (/ 1 (- n))) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) 29.599 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 29.599 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 29.599 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 29.599 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 29.599 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 29.599 * [taylor]: Taking taylor expansion of 1/2 in k 29.599 * [backup-simplify]: Simplify 1/2 into 1/2 29.599 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 29.599 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.599 * [taylor]: Taking taylor expansion of k in k 29.599 * [backup-simplify]: Simplify 0 into 0 29.599 * [backup-simplify]: Simplify 1 into 1 29.599 * [backup-simplify]: Simplify (/ 1 1) into 1 29.599 * [taylor]: Taking taylor expansion of 1 in k 29.599 * [backup-simplify]: Simplify 1 into 1 29.599 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 29.599 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 29.599 * [taylor]: Taking taylor expansion of -2 in k 29.599 * [backup-simplify]: Simplify -2 into -2 29.599 * [taylor]: Taking taylor expansion of (/ PI n) in k 29.599 * [taylor]: Taking taylor expansion of PI in k 29.599 * [backup-simplify]: Simplify PI into PI 29.600 * [taylor]: Taking taylor expansion of n in k 29.600 * [backup-simplify]: Simplify n into n 29.600 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 29.600 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 29.600 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 29.600 * [backup-simplify]: Simplify (+ 1 0) into 1 29.600 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 29.600 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 29.600 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 29.600 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 29.600 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 29.600 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 29.600 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 29.600 * [taylor]: Taking taylor expansion of 1/2 in n 29.601 * [backup-simplify]: Simplify 1/2 into 1/2 29.601 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 29.601 * [taylor]: Taking taylor expansion of (/ 1 k) in n 29.601 * [taylor]: Taking taylor expansion of k in n 29.601 * [backup-simplify]: Simplify k into k 29.601 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 29.601 * [taylor]: Taking taylor expansion of 1 in n 29.601 * [backup-simplify]: Simplify 1 into 1 29.601 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 29.601 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 29.601 * [taylor]: Taking taylor expansion of -2 in n 29.601 * [backup-simplify]: Simplify -2 into -2 29.601 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.601 * [taylor]: Taking taylor expansion of PI in n 29.601 * [backup-simplify]: Simplify PI into PI 29.601 * [taylor]: Taking taylor expansion of n in n 29.601 * [backup-simplify]: Simplify 0 into 0 29.601 * [backup-simplify]: Simplify 1 into 1 29.601 * [backup-simplify]: Simplify (/ PI 1) into PI 29.601 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 29.602 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 29.602 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 29.602 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 29.603 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 29.604 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 29.604 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 29.604 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 29.604 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 29.604 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 29.605 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 29.605 * [taylor]: Taking taylor expansion of 1/2 in n 29.605 * [backup-simplify]: Simplify 1/2 into 1/2 29.605 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 29.605 * [taylor]: Taking taylor expansion of (/ 1 k) in n 29.605 * [taylor]: Taking taylor expansion of k in n 29.605 * [backup-simplify]: Simplify k into k 29.605 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 29.605 * [taylor]: Taking taylor expansion of 1 in n 29.605 * [backup-simplify]: Simplify 1 into 1 29.605 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 29.605 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 29.605 * [taylor]: Taking taylor expansion of -2 in n 29.605 * [backup-simplify]: Simplify -2 into -2 29.605 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.605 * [taylor]: Taking taylor expansion of PI in n 29.605 * [backup-simplify]: Simplify PI into PI 29.605 * [taylor]: Taking taylor expansion of n in n 29.605 * [backup-simplify]: Simplify 0 into 0 29.605 * [backup-simplify]: Simplify 1 into 1 29.605 * [backup-simplify]: Simplify (/ PI 1) into PI 29.605 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 29.606 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 29.606 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 29.606 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 29.607 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 29.608 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 29.608 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 29.608 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 29.609 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 29.609 * [taylor]: Taking taylor expansion of 1/2 in k 29.609 * [backup-simplify]: Simplify 1/2 into 1/2 29.609 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 29.609 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 29.609 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.609 * [taylor]: Taking taylor expansion of k in k 29.609 * [backup-simplify]: Simplify 0 into 0 29.609 * [backup-simplify]: Simplify 1 into 1 29.609 * [backup-simplify]: Simplify (/ 1 1) into 1 29.609 * [taylor]: Taking taylor expansion of 1 in k 29.609 * [backup-simplify]: Simplify 1 into 1 29.609 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 29.609 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 29.609 * [taylor]: Taking taylor expansion of (* -2 PI) in k 29.609 * [taylor]: Taking taylor expansion of -2 in k 29.609 * [backup-simplify]: Simplify -2 into -2 29.609 * [taylor]: Taking taylor expansion of PI in k 29.609 * [backup-simplify]: Simplify PI into PI 29.609 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 29.610 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 29.610 * [taylor]: Taking taylor expansion of (log n) in k 29.610 * [taylor]: Taking taylor expansion of n in k 29.610 * [backup-simplify]: Simplify n into n 29.610 * [backup-simplify]: Simplify (log n) into (log n) 29.610 * [backup-simplify]: Simplify (+ 1 0) into 1 29.610 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 29.611 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 29.612 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 29.612 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 29.613 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 29.614 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 29.614 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 29.615 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 29.616 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 29.616 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 29.616 * [backup-simplify]: Simplify (+ 0 0) into 0 29.616 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 29.617 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 29.618 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 29.619 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 29.619 * [taylor]: Taking taylor expansion of 0 in k 29.619 * [backup-simplify]: Simplify 0 into 0 29.619 * [backup-simplify]: Simplify 0 into 0 29.619 * [backup-simplify]: Simplify 0 into 0 29.620 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.620 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 29.622 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0 29.622 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 29.622 * [backup-simplify]: Simplify (+ 0 0) into 0 29.623 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 29.624 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 29.625 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 29.626 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 29.626 * [taylor]: Taking taylor expansion of 0 in k 29.626 * [backup-simplify]: Simplify 0 into 0 29.626 * [backup-simplify]: Simplify 0 into 0 29.626 * [backup-simplify]: Simplify 0 into 0 29.626 * [backup-simplify]: Simplify 0 into 0 29.627 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.628 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 29.631 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 PI) 1)))) 6) into 0 29.631 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 29.631 * [backup-simplify]: Simplify (+ 0 0) into 0 29.632 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 29.633 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 29.634 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 29.636 * [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 29.636 * [taylor]: Taking taylor expansion of 0 in k 29.636 * [backup-simplify]: Simplify 0 into 0 29.636 * [backup-simplify]: Simplify 0 into 0 29.636 * [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)))))) 29.637 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 29.637 * [backup-simplify]: Simplify (/ 1 (sqrt k)) into (sqrt (/ 1 k)) 29.637 * [approximate]: Taking taylor expansion of (sqrt (/ 1 k)) in (k) around 0 29.637 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 29.637 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.637 * [taylor]: Taking taylor expansion of k in k 29.637 * [backup-simplify]: Simplify 0 into 0 29.637 * [backup-simplify]: Simplify 1 into 1 29.637 * [backup-simplify]: Simplify (/ 1 1) into 1 29.637 * [backup-simplify]: Simplify (sqrt 0) into 0 29.638 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 29.638 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 29.638 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.639 * [taylor]: Taking taylor expansion of k in k 29.639 * [backup-simplify]: Simplify 0 into 0 29.639 * [backup-simplify]: Simplify 1 into 1 29.639 * [backup-simplify]: Simplify (/ 1 1) into 1 29.639 * [backup-simplify]: Simplify (sqrt 0) into 0 29.640 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 29.640 * [backup-simplify]: Simplify 0 into 0 29.640 * [backup-simplify]: Simplify +nan.0 into +nan.0 29.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 29.642 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 29.643 * [backup-simplify]: Simplify +nan.0 into +nan.0 29.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.645 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 29.645 * [backup-simplify]: Simplify +nan.0 into +nan.0 29.646 * [backup-simplify]: Simplify (+ (* +nan.0 (pow k 2)) (+ (* +nan.0 k) +nan.0)) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 29.646 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 k))) into (sqrt k) 29.646 * [approximate]: Taking taylor expansion of (sqrt k) in (k) around 0 29.646 * [taylor]: Taking taylor expansion of (sqrt k) in k 29.646 * [taylor]: Taking taylor expansion of k in k 29.646 * [backup-simplify]: Simplify 0 into 0 29.646 * [backup-simplify]: Simplify 1 into 1 29.646 * [backup-simplify]: Simplify (sqrt 0) into 0 29.647 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 29.647 * [taylor]: Taking taylor expansion of (sqrt k) in k 29.647 * [taylor]: Taking taylor expansion of k in k 29.647 * [backup-simplify]: Simplify 0 into 0 29.647 * [backup-simplify]: Simplify 1 into 1 29.647 * [backup-simplify]: Simplify (sqrt 0) into 0 29.648 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 29.648 * [backup-simplify]: Simplify 0 into 0 29.648 * [backup-simplify]: Simplify +nan.0 into +nan.0 29.650 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 29.650 * [backup-simplify]: Simplify +nan.0 into +nan.0 29.652 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 29.652 * [backup-simplify]: Simplify +nan.0 into +nan.0 29.653 * [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)))))))) 29.653 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 (- k)))) into (/ 1 (sqrt (/ -1 k))) 29.653 * [approximate]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in (k) around 0 29.653 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 29.653 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 29.653 * [taylor]: Taking taylor expansion of (/ -1 k) in k 29.653 * [taylor]: Taking taylor expansion of -1 in k 29.653 * [backup-simplify]: Simplify -1 into -1 29.653 * [taylor]: Taking taylor expansion of k in k 29.653 * [backup-simplify]: Simplify 0 into 0 29.653 * [backup-simplify]: Simplify 1 into 1 29.653 * [backup-simplify]: Simplify (/ -1 1) into -1 29.653 * [backup-simplify]: Simplify (sqrt 0) into 0 29.654 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 29.654 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 29.655 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 29.655 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 29.655 * [taylor]: Taking taylor expansion of (/ -1 k) in k 29.655 * [taylor]: Taking taylor expansion of -1 in k 29.655 * [backup-simplify]: Simplify -1 into -1 29.655 * [taylor]: Taking taylor expansion of k in k 29.655 * [backup-simplify]: Simplify 0 into 0 29.655 * [backup-simplify]: Simplify 1 into 1 29.655 * [backup-simplify]: Simplify (/ -1 1) into -1 29.655 * [backup-simplify]: Simplify (sqrt 0) into 0 29.656 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 29.656 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 29.656 * [backup-simplify]: Simplify +nan.0 into +nan.0 29.657 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 29.659 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 29.660 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 29.660 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 29.661 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.665 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 29.670 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 29.670 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 29.676 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 29.677 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 29.677 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 29.677 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 29.677 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 29.678 * [taylor]: Taking taylor expansion of 2 in n 29.678 * [backup-simplify]: Simplify 2 into 2 29.678 * [taylor]: Taking taylor expansion of (* n PI) in n 29.678 * [taylor]: Taking taylor expansion of n in n 29.678 * [backup-simplify]: Simplify 0 into 0 29.678 * [backup-simplify]: Simplify 1 into 1 29.678 * [taylor]: Taking taylor expansion of PI in n 29.678 * [backup-simplify]: Simplify PI into PI 29.678 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 29.678 * [taylor]: Taking taylor expansion of 2 in n 29.678 * [backup-simplify]: Simplify 2 into 2 29.678 * [taylor]: Taking taylor expansion of (* n PI) in n 29.678 * [taylor]: Taking taylor expansion of n in n 29.678 * [backup-simplify]: Simplify 0 into 0 29.678 * [backup-simplify]: Simplify 1 into 1 29.678 * [taylor]: Taking taylor expansion of PI in n 29.678 * [backup-simplify]: Simplify PI into PI 29.678 * [backup-simplify]: Simplify (* 0 PI) into 0 29.679 * [backup-simplify]: Simplify (* 2 0) into 0 29.679 * [backup-simplify]: Simplify 0 into 0 29.680 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 29.682 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 29.682 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.684 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 29.685 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 29.685 * [backup-simplify]: Simplify 0 into 0 29.686 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 29.687 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 29.687 * [backup-simplify]: Simplify 0 into 0 29.688 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 29.689 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 29.689 * [backup-simplify]: Simplify 0 into 0 29.690 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 29.691 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 29.691 * [backup-simplify]: Simplify 0 into 0 29.692 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 29.693 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 29.693 * [backup-simplify]: Simplify 0 into 0 29.694 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 29.695 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 29.695 * [backup-simplify]: Simplify 0 into 0 29.695 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 29.695 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 n)) into (* 2 (/ PI n)) 29.695 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 29.696 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 29.696 * [taylor]: Taking taylor expansion of 2 in n 29.696 * [backup-simplify]: Simplify 2 into 2 29.696 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.696 * [taylor]: Taking taylor expansion of PI in n 29.696 * [backup-simplify]: Simplify PI into PI 29.696 * [taylor]: Taking taylor expansion of n in n 29.696 * [backup-simplify]: Simplify 0 into 0 29.696 * [backup-simplify]: Simplify 1 into 1 29.696 * [backup-simplify]: Simplify (/ PI 1) into PI 29.696 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 29.696 * [taylor]: Taking taylor expansion of 2 in n 29.696 * [backup-simplify]: Simplify 2 into 2 29.696 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.696 * [taylor]: Taking taylor expansion of PI in n 29.696 * [backup-simplify]: Simplify PI into PI 29.696 * [taylor]: Taking taylor expansion of n in n 29.696 * [backup-simplify]: Simplify 0 into 0 29.696 * [backup-simplify]: Simplify 1 into 1 29.696 * [backup-simplify]: Simplify (/ PI 1) into PI 29.697 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.697 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.697 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 29.698 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 29.698 * [backup-simplify]: Simplify 0 into 0 29.698 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.699 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 29.699 * [backup-simplify]: Simplify 0 into 0 29.700 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.700 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 29.700 * [backup-simplify]: Simplify 0 into 0 29.701 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.702 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 29.702 * [backup-simplify]: Simplify 0 into 0 29.702 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.703 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 29.703 * [backup-simplify]: Simplify 0 into 0 29.704 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.705 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 29.705 * [backup-simplify]: Simplify 0 into 0 29.705 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 29.706 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (- n))) into (* -2 (/ PI n)) 29.706 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 29.706 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 29.706 * [taylor]: Taking taylor expansion of -2 in n 29.706 * [backup-simplify]: Simplify -2 into -2 29.706 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.706 * [taylor]: Taking taylor expansion of PI in n 29.706 * [backup-simplify]: Simplify PI into PI 29.706 * [taylor]: Taking taylor expansion of n in n 29.706 * [backup-simplify]: Simplify 0 into 0 29.706 * [backup-simplify]: Simplify 1 into 1 29.706 * [backup-simplify]: Simplify (/ PI 1) into PI 29.706 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 29.706 * [taylor]: Taking taylor expansion of -2 in n 29.706 * [backup-simplify]: Simplify -2 into -2 29.706 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.706 * [taylor]: Taking taylor expansion of PI in n 29.706 * [backup-simplify]: Simplify PI into PI 29.706 * [taylor]: Taking taylor expansion of n in n 29.706 * [backup-simplify]: Simplify 0 into 0 29.706 * [backup-simplify]: Simplify 1 into 1 29.707 * [backup-simplify]: Simplify (/ PI 1) into PI 29.707 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 29.707 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 29.708 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 29.708 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 29.708 * [backup-simplify]: Simplify 0 into 0 29.709 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.709 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 29.709 * [backup-simplify]: Simplify 0 into 0 29.710 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.711 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 29.711 * [backup-simplify]: Simplify 0 into 0 29.711 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.712 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 29.712 * [backup-simplify]: Simplify 0 into 0 29.713 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.713 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 29.713 * [backup-simplify]: Simplify 0 into 0 29.714 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.715 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 29.715 * [backup-simplify]: Simplify 0 into 0 29.715 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 29.715 * * * * [progress]: [ 4 / 4 ] generating series at (2) 29.716 * [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))) 29.716 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (k n) around 0 29.716 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 29.716 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 29.716 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 29.716 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 29.716 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 29.716 * [taylor]: Taking taylor expansion of 1/2 in n 29.716 * [backup-simplify]: Simplify 1/2 into 1/2 29.716 * [taylor]: Taking taylor expansion of (- 1 k) in n 29.716 * [taylor]: Taking taylor expansion of 1 in n 29.716 * [backup-simplify]: Simplify 1 into 1 29.716 * [taylor]: Taking taylor expansion of k in n 29.716 * [backup-simplify]: Simplify k into k 29.716 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 29.716 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 29.716 * [taylor]: Taking taylor expansion of 2 in n 29.716 * [backup-simplify]: Simplify 2 into 2 29.716 * [taylor]: Taking taylor expansion of (* n PI) in n 29.716 * [taylor]: Taking taylor expansion of n in n 29.716 * [backup-simplify]: Simplify 0 into 0 29.716 * [backup-simplify]: Simplify 1 into 1 29.716 * [taylor]: Taking taylor expansion of PI in n 29.716 * [backup-simplify]: Simplify PI into PI 29.716 * [backup-simplify]: Simplify (* 0 PI) into 0 29.717 * [backup-simplify]: Simplify (* 2 0) into 0 29.718 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 29.718 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 29.719 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.719 * [backup-simplify]: Simplify (- k) into (- k) 29.719 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 29.719 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 29.720 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.721 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 29.721 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 29.721 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 29.721 * [taylor]: Taking taylor expansion of (/ 1 k) in n 29.721 * [taylor]: Taking taylor expansion of k in n 29.721 * [backup-simplify]: Simplify k into k 29.721 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 29.721 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 29.721 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 29.722 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 29.722 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 29.722 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 29.722 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 29.722 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 29.722 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 29.722 * [taylor]: Taking taylor expansion of 1/2 in k 29.722 * [backup-simplify]: Simplify 1/2 into 1/2 29.722 * [taylor]: Taking taylor expansion of (- 1 k) in k 29.722 * [taylor]: Taking taylor expansion of 1 in k 29.722 * [backup-simplify]: Simplify 1 into 1 29.722 * [taylor]: Taking taylor expansion of k in k 29.722 * [backup-simplify]: Simplify 0 into 0 29.722 * [backup-simplify]: Simplify 1 into 1 29.722 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 29.722 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 29.722 * [taylor]: Taking taylor expansion of 2 in k 29.722 * [backup-simplify]: Simplify 2 into 2 29.722 * [taylor]: Taking taylor expansion of (* n PI) in k 29.722 * [taylor]: Taking taylor expansion of n in k 29.722 * [backup-simplify]: Simplify n into n 29.722 * [taylor]: Taking taylor expansion of PI in k 29.722 * [backup-simplify]: Simplify PI into PI 29.722 * [backup-simplify]: Simplify (* n PI) into (* n PI) 29.722 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 29.722 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 29.722 * [backup-simplify]: Simplify (- 0) into 0 29.722 * [backup-simplify]: Simplify (+ 1 0) into 1 29.723 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 29.723 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 29.723 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 29.723 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 29.723 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.723 * [taylor]: Taking taylor expansion of k in k 29.723 * [backup-simplify]: Simplify 0 into 0 29.723 * [backup-simplify]: Simplify 1 into 1 29.723 * [backup-simplify]: Simplify (/ 1 1) into 1 29.723 * [backup-simplify]: Simplify (sqrt 0) into 0 29.724 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 29.724 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 29.724 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 29.724 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 29.724 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 29.724 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 29.724 * [taylor]: Taking taylor expansion of 1/2 in k 29.724 * [backup-simplify]: Simplify 1/2 into 1/2 29.724 * [taylor]: Taking taylor expansion of (- 1 k) in k 29.724 * [taylor]: Taking taylor expansion of 1 in k 29.725 * [backup-simplify]: Simplify 1 into 1 29.725 * [taylor]: Taking taylor expansion of k in k 29.725 * [backup-simplify]: Simplify 0 into 0 29.725 * [backup-simplify]: Simplify 1 into 1 29.725 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 29.725 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 29.725 * [taylor]: Taking taylor expansion of 2 in k 29.725 * [backup-simplify]: Simplify 2 into 2 29.725 * [taylor]: Taking taylor expansion of (* n PI) in k 29.725 * [taylor]: Taking taylor expansion of n in k 29.725 * [backup-simplify]: Simplify n into n 29.725 * [taylor]: Taking taylor expansion of PI in k 29.725 * [backup-simplify]: Simplify PI into PI 29.725 * [backup-simplify]: Simplify (* n PI) into (* n PI) 29.725 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 29.725 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 29.725 * [backup-simplify]: Simplify (- 0) into 0 29.725 * [backup-simplify]: Simplify (+ 1 0) into 1 29.726 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 29.726 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 29.726 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 29.726 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 29.726 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.726 * [taylor]: Taking taylor expansion of k in k 29.726 * [backup-simplify]: Simplify 0 into 0 29.726 * [backup-simplify]: Simplify 1 into 1 29.726 * [backup-simplify]: Simplify (/ 1 1) into 1 29.726 * [backup-simplify]: Simplify (sqrt 0) into 0 29.727 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 29.727 * [backup-simplify]: Simplify (* (pow (* 2 (* n PI)) 1/2) 0) into 0 29.727 * [taylor]: Taking taylor expansion of 0 in n 29.727 * [backup-simplify]: Simplify 0 into 0 29.727 * [backup-simplify]: Simplify 0 into 0 29.728 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 29.728 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 29.728 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 29.729 * [backup-simplify]: Simplify (- 1) into -1 29.729 * [backup-simplify]: Simplify (+ 0 -1) into -1 29.729 * [backup-simplify]: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2 29.730 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 29.730 * [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))))) 29.730 * [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))))) 29.730 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 29.730 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 29.730 * [taylor]: Taking taylor expansion of +nan.0 in n 29.730 * [backup-simplify]: Simplify +nan.0 into +nan.0 29.730 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 29.730 * [taylor]: Taking taylor expansion of (sqrt 2) in n 29.730 * [taylor]: Taking taylor expansion of 2 in n 29.730 * [backup-simplify]: Simplify 2 into 2 29.731 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 29.731 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 29.731 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 29.731 * [taylor]: Taking taylor expansion of (* n PI) in n 29.731 * [taylor]: Taking taylor expansion of n in n 29.731 * [backup-simplify]: Simplify 0 into 0 29.731 * [backup-simplify]: Simplify 1 into 1 29.731 * [taylor]: Taking taylor expansion of PI in n 29.731 * [backup-simplify]: Simplify PI into PI 29.731 * [backup-simplify]: Simplify (* 0 PI) into 0 29.733 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 29.733 * [backup-simplify]: Simplify (sqrt 0) into 0 29.735 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 29.735 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 29.736 * [backup-simplify]: Simplify (* +nan.0 0) into 0 29.736 * [backup-simplify]: Simplify (- 0) into 0 29.736 * [backup-simplify]: Simplify 0 into 0 29.736 * [backup-simplify]: Simplify 0 into 0 29.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 29.740 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 29.741 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 29.742 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 29.744 * [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 29.744 * [backup-simplify]: Simplify (- 0) into 0 29.745 * [backup-simplify]: Simplify (+ 0 0) into 0 29.746 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0 29.747 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 29.748 * [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))) 29.748 * [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))))))) 29.749 * [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 29.749 * [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 29.749 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 29.749 * [taylor]: Taking taylor expansion of +nan.0 in n 29.749 * [backup-simplify]: Simplify +nan.0 into +nan.0 29.749 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 29.749 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 29.749 * [taylor]: Taking taylor expansion of (sqrt 2) in n 29.749 * [taylor]: Taking taylor expansion of 2 in n 29.749 * [backup-simplify]: Simplify 2 into 2 29.749 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 29.750 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 29.750 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 29.750 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 29.750 * [taylor]: Taking taylor expansion of 2 in n 29.750 * [backup-simplify]: Simplify 2 into 2 29.750 * [taylor]: Taking taylor expansion of (* n PI) in n 29.750 * [taylor]: Taking taylor expansion of n in n 29.750 * [backup-simplify]: Simplify 0 into 0 29.750 * [backup-simplify]: Simplify 1 into 1 29.750 * [taylor]: Taking taylor expansion of PI in n 29.750 * [backup-simplify]: Simplify PI into PI 29.751 * [backup-simplify]: Simplify (* 0 PI) into 0 29.751 * [backup-simplify]: Simplify (* 2 0) into 0 29.752 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 29.754 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 29.755 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.755 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 29.755 * [taylor]: Taking taylor expansion of (* n PI) in n 29.755 * [taylor]: Taking taylor expansion of n in n 29.755 * [backup-simplify]: Simplify 0 into 0 29.755 * [backup-simplify]: Simplify 1 into 1 29.755 * [taylor]: Taking taylor expansion of PI in n 29.755 * [backup-simplify]: Simplify PI into PI 29.755 * [backup-simplify]: Simplify (* 0 PI) into 0 29.757 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 29.757 * [backup-simplify]: Simplify (sqrt 0) into 0 29.759 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 29.759 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 29.759 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 29.759 * [taylor]: Taking taylor expansion of +nan.0 in n 29.759 * [backup-simplify]: Simplify +nan.0 into +nan.0 29.759 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 29.759 * [taylor]: Taking taylor expansion of (sqrt 2) in n 29.759 * [taylor]: Taking taylor expansion of 2 in n 29.759 * [backup-simplify]: Simplify 2 into 2 29.759 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 29.760 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 29.760 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 29.760 * [taylor]: Taking taylor expansion of (* n PI) in n 29.760 * [taylor]: Taking taylor expansion of n in n 29.760 * [backup-simplify]: Simplify 0 into 0 29.760 * [backup-simplify]: Simplify 1 into 1 29.760 * [taylor]: Taking taylor expansion of PI in n 29.760 * [backup-simplify]: Simplify PI into PI 29.761 * [backup-simplify]: Simplify (* 0 PI) into 0 29.763 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 29.763 * [backup-simplify]: Simplify (sqrt 0) into 0 29.764 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 29.766 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.767 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 29.768 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 29.769 * [backup-simplify]: Simplify (* +nan.0 0) into 0 29.769 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 29.770 * [backup-simplify]: Simplify (* +nan.0 0) into 0 29.770 * [backup-simplify]: Simplify (- 0) into 0 29.770 * [backup-simplify]: Simplify (+ 0 0) into 0 29.771 * [backup-simplify]: Simplify (- 0) into 0 29.771 * [backup-simplify]: Simplify 0 into 0 29.773 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 29.776 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 29.778 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 29.779 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 29.779 * [backup-simplify]: Simplify 0 into 0 29.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.786 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 29.787 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 29.788 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 29.789 * [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 29.789 * [backup-simplify]: Simplify (- 0) into 0 29.790 * [backup-simplify]: Simplify (+ 0 0) into 0 29.791 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))) into 0 29.792 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0 29.793 * [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))) 29.793 * [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))))))))) 29.793 * [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 29.793 * [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 29.793 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 29.793 * [taylor]: Taking taylor expansion of +nan.0 in n 29.793 * [backup-simplify]: Simplify +nan.0 into +nan.0 29.793 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 29.793 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 29.793 * [taylor]: Taking taylor expansion of (sqrt 2) in n 29.793 * [taylor]: Taking taylor expansion of 2 in n 29.793 * [backup-simplify]: Simplify 2 into 2 29.794 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 29.794 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 29.794 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 29.794 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 29.794 * [taylor]: Taking taylor expansion of 2 in n 29.794 * [backup-simplify]: Simplify 2 into 2 29.794 * [taylor]: Taking taylor expansion of (* n PI) in n 29.794 * [taylor]: Taking taylor expansion of n in n 29.794 * [backup-simplify]: Simplify 0 into 0 29.794 * [backup-simplify]: Simplify 1 into 1 29.794 * [taylor]: Taking taylor expansion of PI in n 29.794 * [backup-simplify]: Simplify PI into PI 29.795 * [backup-simplify]: Simplify (* 0 PI) into 0 29.795 * [backup-simplify]: Simplify (* 2 0) into 0 29.796 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 29.797 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 29.797 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.797 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 29.798 * [taylor]: Taking taylor expansion of (* n PI) in n 29.798 * [taylor]: Taking taylor expansion of n in n 29.798 * [backup-simplify]: Simplify 0 into 0 29.798 * [backup-simplify]: Simplify 1 into 1 29.798 * [taylor]: Taking taylor expansion of PI in n 29.798 * [backup-simplify]: Simplify PI into PI 29.798 * [backup-simplify]: Simplify (* 0 PI) into 0 29.799 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 29.799 * [backup-simplify]: Simplify (sqrt 0) into 0 29.800 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 29.800 * [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 29.800 * [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 29.800 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 29.800 * [taylor]: Taking taylor expansion of +nan.0 in n 29.800 * [backup-simplify]: Simplify +nan.0 into +nan.0 29.800 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 29.800 * [taylor]: Taking taylor expansion of (sqrt 2) in n 29.800 * [taylor]: Taking taylor expansion of 2 in n 29.800 * [backup-simplify]: Simplify 2 into 2 29.800 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 29.801 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 29.801 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 29.801 * [taylor]: Taking taylor expansion of (* n PI) in n 29.801 * [taylor]: Taking taylor expansion of n in n 29.801 * [backup-simplify]: Simplify 0 into 0 29.801 * [backup-simplify]: Simplify 1 into 1 29.801 * [taylor]: Taking taylor expansion of PI in n 29.801 * [backup-simplify]: Simplify PI into PI 29.801 * [backup-simplify]: Simplify (* 0 PI) into 0 29.802 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 29.802 * [backup-simplify]: Simplify (sqrt 0) into 0 29.803 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 29.803 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))) in n 29.803 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n 29.803 * [taylor]: Taking taylor expansion of +nan.0 in n 29.803 * [backup-simplify]: Simplify +nan.0 into +nan.0 29.803 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n 29.803 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n 29.803 * [taylor]: Taking taylor expansion of (sqrt 2) in n 29.803 * [taylor]: Taking taylor expansion of 2 in n 29.803 * [backup-simplify]: Simplify 2 into 2 29.803 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 29.804 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 29.804 * [taylor]: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n 29.804 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 29.804 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 29.804 * [taylor]: Taking taylor expansion of 2 in n 29.804 * [backup-simplify]: Simplify 2 into 2 29.804 * [taylor]: Taking taylor expansion of (* n PI) in n 29.804 * [taylor]: Taking taylor expansion of n in n 29.804 * [backup-simplify]: Simplify 0 into 0 29.804 * [backup-simplify]: Simplify 1 into 1 29.804 * [taylor]: Taking taylor expansion of PI in n 29.804 * [backup-simplify]: Simplify PI into PI 29.804 * [backup-simplify]: Simplify (* 0 PI) into 0 29.804 * [backup-simplify]: Simplify (* 2 0) into 0 29.805 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 29.806 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 29.807 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.808 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.808 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 29.808 * [taylor]: Taking taylor expansion of (* n PI) in n 29.808 * [taylor]: Taking taylor expansion of n in n 29.808 * [backup-simplify]: Simplify 0 into 0 29.808 * [backup-simplify]: Simplify 1 into 1 29.808 * [taylor]: Taking taylor expansion of PI in n 29.808 * [backup-simplify]: Simplify PI into PI 29.808 * [backup-simplify]: Simplify (* 0 PI) into 0 29.809 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 29.809 * [backup-simplify]: Simplify (sqrt 0) into 0 29.810 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 29.811 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.812 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 29.812 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 29.813 * [backup-simplify]: Simplify (* +nan.0 0) into 0 29.813 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 29.813 * [backup-simplify]: Simplify (* +nan.0 0) into 0 29.814 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.815 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.816 * [backup-simplify]: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2) 29.817 * [backup-simplify]: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 29.818 * [backup-simplify]: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0 29.818 * [backup-simplify]: Simplify (* +nan.0 0) into 0 29.818 * [backup-simplify]: Simplify (- 0) into 0 29.818 * [backup-simplify]: Simplify (+ 0 0) into 0 29.819 * [backup-simplify]: Simplify (- 0) into 0 29.819 * [backup-simplify]: Simplify (+ 0 0) into 0 29.819 * [backup-simplify]: Simplify (- 0) into 0 29.819 * [backup-simplify]: Simplify 0 into 0 29.820 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 29.820 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 29.821 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 29.822 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.823 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 29.824 * [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)))))))) 29.828 * [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)))))))) 29.830 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 29.833 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 29.835 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 29.840 * [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)))))))))) 29.845 * [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))))))) 29.853 * [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))))))) 29.854 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 29.858 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 29.859 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 29.864 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 29.873 * [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)))) 29.877 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 29.881 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 29.902 * [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))))))))))))) 29.903 * [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)) 29.903 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (k n) around 0 29.903 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 29.903 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 29.903 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 29.903 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 29.903 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 29.903 * [taylor]: Taking taylor expansion of 1/2 in n 29.903 * [backup-simplify]: Simplify 1/2 into 1/2 29.903 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 29.903 * [taylor]: Taking taylor expansion of 1 in n 29.903 * [backup-simplify]: Simplify 1 into 1 29.903 * [taylor]: Taking taylor expansion of (/ 1 k) in n 29.903 * [taylor]: Taking taylor expansion of k in n 29.903 * [backup-simplify]: Simplify k into k 29.903 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 29.903 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 29.903 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 29.903 * [taylor]: Taking taylor expansion of 2 in n 29.903 * [backup-simplify]: Simplify 2 into 2 29.903 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.903 * [taylor]: Taking taylor expansion of PI in n 29.903 * [backup-simplify]: Simplify PI into PI 29.903 * [taylor]: Taking taylor expansion of n in n 29.904 * [backup-simplify]: Simplify 0 into 0 29.904 * [backup-simplify]: Simplify 1 into 1 29.904 * [backup-simplify]: Simplify (/ PI 1) into PI 29.905 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.906 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.906 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 29.906 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 29.906 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 29.908 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 29.909 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 29.910 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 29.910 * [taylor]: Taking taylor expansion of (sqrt k) in n 29.910 * [taylor]: Taking taylor expansion of k in n 29.910 * [backup-simplify]: Simplify k into k 29.910 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 29.910 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 29.910 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 29.910 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 29.910 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 29.910 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 29.910 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 29.910 * [taylor]: Taking taylor expansion of 1/2 in k 29.910 * [backup-simplify]: Simplify 1/2 into 1/2 29.910 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 29.910 * [taylor]: Taking taylor expansion of 1 in k 29.910 * [backup-simplify]: Simplify 1 into 1 29.910 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.910 * [taylor]: Taking taylor expansion of k in k 29.911 * [backup-simplify]: Simplify 0 into 0 29.911 * [backup-simplify]: Simplify 1 into 1 29.911 * [backup-simplify]: Simplify (/ 1 1) into 1 29.911 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 29.911 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 29.911 * [taylor]: Taking taylor expansion of 2 in k 29.911 * [backup-simplify]: Simplify 2 into 2 29.911 * [taylor]: Taking taylor expansion of (/ PI n) in k 29.911 * [taylor]: Taking taylor expansion of PI in k 29.911 * [backup-simplify]: Simplify PI into PI 29.911 * [taylor]: Taking taylor expansion of n in k 29.911 * [backup-simplify]: Simplify n into n 29.911 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 29.911 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 29.911 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 29.912 * [backup-simplify]: Simplify (- 1) into -1 29.912 * [backup-simplify]: Simplify (+ 0 -1) into -1 29.913 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 29.913 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 29.913 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 29.913 * [taylor]: Taking taylor expansion of (sqrt k) in k 29.913 * [taylor]: Taking taylor expansion of k in k 29.913 * [backup-simplify]: Simplify 0 into 0 29.913 * [backup-simplify]: Simplify 1 into 1 29.914 * [backup-simplify]: Simplify (sqrt 0) into 0 29.915 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 29.915 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 29.915 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 29.915 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 29.915 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 29.915 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 29.915 * [taylor]: Taking taylor expansion of 1/2 in k 29.915 * [backup-simplify]: Simplify 1/2 into 1/2 29.915 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 29.915 * [taylor]: Taking taylor expansion of 1 in k 29.915 * [backup-simplify]: Simplify 1 into 1 29.915 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.915 * [taylor]: Taking taylor expansion of k in k 29.915 * [backup-simplify]: Simplify 0 into 0 29.915 * [backup-simplify]: Simplify 1 into 1 29.916 * [backup-simplify]: Simplify (/ 1 1) into 1 29.916 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 29.916 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 29.916 * [taylor]: Taking taylor expansion of 2 in k 29.916 * [backup-simplify]: Simplify 2 into 2 29.916 * [taylor]: Taking taylor expansion of (/ PI n) in k 29.916 * [taylor]: Taking taylor expansion of PI in k 29.916 * [backup-simplify]: Simplify PI into PI 29.916 * [taylor]: Taking taylor expansion of n in k 29.916 * [backup-simplify]: Simplify n into n 29.916 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 29.916 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 29.916 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 29.917 * [backup-simplify]: Simplify (- 1) into -1 29.917 * [backup-simplify]: Simplify (+ 0 -1) into -1 29.918 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 29.918 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 29.918 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 29.918 * [taylor]: Taking taylor expansion of (sqrt k) in k 29.918 * [taylor]: Taking taylor expansion of k in k 29.918 * [backup-simplify]: Simplify 0 into 0 29.918 * [backup-simplify]: Simplify 1 into 1 29.918 * [backup-simplify]: Simplify (sqrt 0) into 0 29.920 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 29.920 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 0) into 0 29.920 * [taylor]: Taking taylor expansion of 0 in n 29.920 * [backup-simplify]: Simplify 0 into 0 29.920 * [backup-simplify]: Simplify 0 into 0 29.921 * [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)))))))) 29.921 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 29.921 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 29.921 * [taylor]: Taking taylor expansion of +nan.0 in n 29.921 * [backup-simplify]: Simplify +nan.0 into +nan.0 29.921 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 29.921 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 29.921 * [taylor]: Taking taylor expansion of 1/2 in n 29.921 * [backup-simplify]: Simplify 1/2 into 1/2 29.921 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 29.921 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 29.921 * [taylor]: Taking taylor expansion of 1 in n 29.921 * [backup-simplify]: Simplify 1 into 1 29.921 * [taylor]: Taking taylor expansion of (/ 1 k) in n 29.921 * [taylor]: Taking taylor expansion of k in n 29.921 * [backup-simplify]: Simplify k into k 29.921 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 29.921 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 29.922 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 29.922 * [taylor]: Taking taylor expansion of 2 in n 29.922 * [backup-simplify]: Simplify 2 into 2 29.922 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.922 * [taylor]: Taking taylor expansion of PI in n 29.922 * [backup-simplify]: Simplify PI into PI 29.922 * [taylor]: Taking taylor expansion of n in n 29.922 * [backup-simplify]: Simplify 0 into 0 29.922 * [backup-simplify]: Simplify 1 into 1 29.922 * [backup-simplify]: Simplify (/ PI 1) into PI 29.923 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.924 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.924 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 29.924 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 29.926 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 29.927 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 29.928 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 29.929 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 29.930 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) 29.932 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 29.933 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 29.933 * [backup-simplify]: Simplify 0 into 0 29.936 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 29.937 * [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)))))))) 29.937 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 29.937 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 29.937 * [taylor]: Taking taylor expansion of +nan.0 in n 29.937 * [backup-simplify]: Simplify +nan.0 into +nan.0 29.937 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 29.937 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 29.937 * [taylor]: Taking taylor expansion of 1/2 in n 29.937 * [backup-simplify]: Simplify 1/2 into 1/2 29.937 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 29.937 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 29.937 * [taylor]: Taking taylor expansion of 1 in n 29.937 * [backup-simplify]: Simplify 1 into 1 29.937 * [taylor]: Taking taylor expansion of (/ 1 k) in n 29.937 * [taylor]: Taking taylor expansion of k in n 29.937 * [backup-simplify]: Simplify k into k 29.937 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 29.937 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 29.937 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 29.937 * [taylor]: Taking taylor expansion of 2 in n 29.937 * [backup-simplify]: Simplify 2 into 2 29.938 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.938 * [taylor]: Taking taylor expansion of PI in n 29.938 * [backup-simplify]: Simplify PI into PI 29.938 * [taylor]: Taking taylor expansion of n in n 29.938 * [backup-simplify]: Simplify 0 into 0 29.938 * [backup-simplify]: Simplify 1 into 1 29.938 * [backup-simplify]: Simplify (/ PI 1) into PI 29.939 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.940 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.940 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 29.940 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 29.941 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 29.942 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 29.943 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 29.944 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 29.946 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) 29.947 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 29.948 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 29.949 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 29.950 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 29.952 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 29.952 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 29.952 * [backup-simplify]: Simplify (- 0) into 0 29.953 * [backup-simplify]: Simplify (+ 0 0) into 0 29.954 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 29.955 * [backup-simplify]: Simplify (+ (* (- 1 (/ 1 k)) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 29.957 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into 0 29.959 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 29.960 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into 0 29.960 * [backup-simplify]: Simplify (- 0) into 0 29.960 * [backup-simplify]: Simplify 0 into 0 29.960 * [backup-simplify]: Simplify 0 into 0 29.963 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 29.963 * [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)))))))) 29.964 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 29.964 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 29.964 * [taylor]: Taking taylor expansion of +nan.0 in n 29.964 * [backup-simplify]: Simplify +nan.0 into +nan.0 29.964 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 29.964 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 29.964 * [taylor]: Taking taylor expansion of 1/2 in n 29.964 * [backup-simplify]: Simplify 1/2 into 1/2 29.964 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 29.964 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 29.964 * [taylor]: Taking taylor expansion of 1 in n 29.964 * [backup-simplify]: Simplify 1 into 1 29.964 * [taylor]: Taking taylor expansion of (/ 1 k) in n 29.964 * [taylor]: Taking taylor expansion of k in n 29.964 * [backup-simplify]: Simplify k into k 29.964 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 29.964 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 29.964 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 29.964 * [taylor]: Taking taylor expansion of 2 in n 29.964 * [backup-simplify]: Simplify 2 into 2 29.964 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.964 * [taylor]: Taking taylor expansion of PI in n 29.964 * [backup-simplify]: Simplify PI into PI 29.964 * [taylor]: Taking taylor expansion of n in n 29.964 * [backup-simplify]: Simplify 0 into 0 29.964 * [backup-simplify]: Simplify 1 into 1 29.964 * [backup-simplify]: Simplify (/ PI 1) into PI 29.965 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.965 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.965 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 29.965 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 29.966 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 29.967 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 29.967 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 29.968 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 29.969 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) 29.970 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 29.970 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 29.973 * [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)))))))) 29.973 * [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))) 29.973 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (k n) around 0 29.973 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 29.974 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 29.974 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 29.974 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 29.974 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 29.974 * [taylor]: Taking taylor expansion of 1/2 in n 29.974 * [backup-simplify]: Simplify 1/2 into 1/2 29.974 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 29.974 * [taylor]: Taking taylor expansion of (/ 1 k) in n 29.974 * [taylor]: Taking taylor expansion of k in n 29.974 * [backup-simplify]: Simplify k into k 29.974 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 29.974 * [taylor]: Taking taylor expansion of 1 in n 29.974 * [backup-simplify]: Simplify 1 into 1 29.974 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 29.974 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 29.974 * [taylor]: Taking taylor expansion of -2 in n 29.974 * [backup-simplify]: Simplify -2 into -2 29.974 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.974 * [taylor]: Taking taylor expansion of PI in n 29.974 * [backup-simplify]: Simplify PI into PI 29.974 * [taylor]: Taking taylor expansion of n in n 29.974 * [backup-simplify]: Simplify 0 into 0 29.974 * [backup-simplify]: Simplify 1 into 1 29.974 * [backup-simplify]: Simplify (/ PI 1) into PI 29.974 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 29.975 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 29.975 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 29.975 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 29.976 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 29.977 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 29.977 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 29.978 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 29.978 * [taylor]: Taking taylor expansion of (/ -1 k) in n 29.978 * [taylor]: Taking taylor expansion of -1 in n 29.978 * [backup-simplify]: Simplify -1 into -1 29.978 * [taylor]: Taking taylor expansion of k in n 29.978 * [backup-simplify]: Simplify k into k 29.978 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 29.978 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 29.978 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 29.978 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 29.979 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) into (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) 29.979 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 29.979 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 29.979 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 29.979 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 29.979 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 29.979 * [taylor]: Taking taylor expansion of 1/2 in k 29.979 * [backup-simplify]: Simplify 1/2 into 1/2 29.979 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 29.979 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.979 * [taylor]: Taking taylor expansion of k in k 29.979 * [backup-simplify]: Simplify 0 into 0 29.979 * [backup-simplify]: Simplify 1 into 1 29.979 * [backup-simplify]: Simplify (/ 1 1) into 1 29.979 * [taylor]: Taking taylor expansion of 1 in k 29.979 * [backup-simplify]: Simplify 1 into 1 29.979 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 29.979 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 29.979 * [taylor]: Taking taylor expansion of -2 in k 29.979 * [backup-simplify]: Simplify -2 into -2 29.979 * [taylor]: Taking taylor expansion of (/ PI n) in k 29.979 * [taylor]: Taking taylor expansion of PI in k 29.979 * [backup-simplify]: Simplify PI into PI 29.979 * [taylor]: Taking taylor expansion of n in k 29.979 * [backup-simplify]: Simplify n into n 29.979 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 29.979 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 29.979 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 29.980 * [backup-simplify]: Simplify (+ 1 0) into 1 29.980 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 29.980 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 29.980 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 29.980 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 29.980 * [taylor]: Taking taylor expansion of (/ -1 k) in k 29.980 * [taylor]: Taking taylor expansion of -1 in k 29.980 * [backup-simplify]: Simplify -1 into -1 29.980 * [taylor]: Taking taylor expansion of k in k 29.980 * [backup-simplify]: Simplify 0 into 0 29.980 * [backup-simplify]: Simplify 1 into 1 29.980 * [backup-simplify]: Simplify (/ -1 1) into -1 29.981 * [backup-simplify]: Simplify (sqrt 0) into 0 29.982 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 29.982 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) 29.982 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 29.982 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 29.982 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 29.982 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 29.982 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 29.982 * [taylor]: Taking taylor expansion of 1/2 in k 29.982 * [backup-simplify]: Simplify 1/2 into 1/2 29.982 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 29.982 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.982 * [taylor]: Taking taylor expansion of k in k 29.982 * [backup-simplify]: Simplify 0 into 0 29.982 * [backup-simplify]: Simplify 1 into 1 29.982 * [backup-simplify]: Simplify (/ 1 1) into 1 29.982 * [taylor]: Taking taylor expansion of 1 in k 29.982 * [backup-simplify]: Simplify 1 into 1 29.982 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 29.982 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 29.982 * [taylor]: Taking taylor expansion of -2 in k 29.982 * [backup-simplify]: Simplify -2 into -2 29.982 * [taylor]: Taking taylor expansion of (/ PI n) in k 29.982 * [taylor]: Taking taylor expansion of PI in k 29.982 * [backup-simplify]: Simplify PI into PI 29.982 * [taylor]: Taking taylor expansion of n in k 29.982 * [backup-simplify]: Simplify n into n 29.982 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 29.982 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 29.982 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 29.983 * [backup-simplify]: Simplify (+ 1 0) into 1 29.983 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 29.983 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 29.983 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 29.983 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 29.983 * [taylor]: Taking taylor expansion of (/ -1 k) in k 29.983 * [taylor]: Taking taylor expansion of -1 in k 29.983 * [backup-simplify]: Simplify -1 into -1 29.983 * [taylor]: Taking taylor expansion of k in k 29.983 * [backup-simplify]: Simplify 0 into 0 29.983 * [backup-simplify]: Simplify 1 into 1 29.984 * [backup-simplify]: Simplify (/ -1 1) into -1 29.984 * [backup-simplify]: Simplify (sqrt 0) into 0 29.985 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 29.985 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) 29.985 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 29.985 * [taylor]: Taking taylor expansion of +nan.0 in n 29.985 * [backup-simplify]: Simplify +nan.0 into +nan.0 29.985 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 29.985 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 29.985 * [taylor]: Taking taylor expansion of 1/2 in n 29.985 * [backup-simplify]: Simplify 1/2 into 1/2 29.985 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 29.985 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 29.985 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 29.985 * [taylor]: Taking taylor expansion of -2 in n 29.985 * [backup-simplify]: Simplify -2 into -2 29.985 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.985 * [taylor]: Taking taylor expansion of PI in n 29.985 * [backup-simplify]: Simplify PI into PI 29.985 * [taylor]: Taking taylor expansion of n in n 29.985 * [backup-simplify]: Simplify 0 into 0 29.985 * [backup-simplify]: Simplify 1 into 1 29.986 * [backup-simplify]: Simplify (/ PI 1) into PI 29.986 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 29.986 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 29.986 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 29.986 * [taylor]: Taking taylor expansion of (/ 1 k) in n 29.986 * [taylor]: Taking taylor expansion of k in n 29.986 * [backup-simplify]: Simplify k into k 29.987 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 29.987 * [taylor]: Taking taylor expansion of 1 in n 29.987 * [backup-simplify]: Simplify 1 into 1 29.987 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 29.987 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 29.988 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 29.989 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 29.990 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 29.990 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) 29.991 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) 29.992 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 29.993 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 29.994 * [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)))))) 29.994 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n 29.994 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 29.994 * [taylor]: Taking taylor expansion of +nan.0 in n 29.994 * [backup-simplify]: Simplify +nan.0 into +nan.0 29.994 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 29.994 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 29.994 * [taylor]: Taking taylor expansion of 1/2 in n 29.994 * [backup-simplify]: Simplify 1/2 into 1/2 29.994 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 29.994 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 29.994 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 29.994 * [taylor]: Taking taylor expansion of -2 in n 29.994 * [backup-simplify]: Simplify -2 into -2 29.994 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.994 * [taylor]: Taking taylor expansion of PI in n 29.994 * [backup-simplify]: Simplify PI into PI 29.994 * [taylor]: Taking taylor expansion of n in n 29.994 * [backup-simplify]: Simplify 0 into 0 29.994 * [backup-simplify]: Simplify 1 into 1 29.995 * [backup-simplify]: Simplify (/ PI 1) into PI 29.995 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 29.996 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 29.996 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 29.996 * [taylor]: Taking taylor expansion of (/ 1 k) in n 29.996 * [taylor]: Taking taylor expansion of k in n 29.996 * [backup-simplify]: Simplify k into k 29.996 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 29.996 * [taylor]: Taking taylor expansion of 1 in n 29.996 * [backup-simplify]: Simplify 1 into 1 29.996 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 29.997 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 29.997 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 29.998 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 29.999 * [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))))) 30.000 * [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)))))) 30.000 * [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))))))) 30.001 * [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))))))) 30.002 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 30.002 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 30.002 * [backup-simplify]: Simplify (+ 0 0) into 0 30.003 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 30.003 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 30.004 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 30.009 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (/ 1 k) 1))) into 0 30.010 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into 0 30.012 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 30.013 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into 0 30.013 * [backup-simplify]: Simplify 0 into 0 30.014 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.018 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 30.020 * [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)))))) 30.020 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n 30.020 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 30.020 * [taylor]: Taking taylor expansion of +nan.0 in n 30.020 * [backup-simplify]: Simplify +nan.0 into +nan.0 30.020 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 30.020 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 30.021 * [taylor]: Taking taylor expansion of 1/2 in n 30.021 * [backup-simplify]: Simplify 1/2 into 1/2 30.021 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 30.021 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 30.021 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 30.021 * [taylor]: Taking taylor expansion of -2 in n 30.021 * [backup-simplify]: Simplify -2 into -2 30.021 * [taylor]: Taking taylor expansion of (/ PI n) in n 30.021 * [taylor]: Taking taylor expansion of PI in n 30.021 * [backup-simplify]: Simplify PI into PI 30.021 * [taylor]: Taking taylor expansion of n in n 30.021 * [backup-simplify]: Simplify 0 into 0 30.021 * [backup-simplify]: Simplify 1 into 1 30.021 * [backup-simplify]: Simplify (/ PI 1) into PI 30.022 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 30.023 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 30.023 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 30.023 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.023 * [taylor]: Taking taylor expansion of k in n 30.023 * [backup-simplify]: Simplify k into k 30.023 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.023 * [taylor]: Taking taylor expansion of 1 in n 30.023 * [backup-simplify]: Simplify 1 into 1 30.024 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 30.024 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 30.026 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 30.027 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 30.028 * [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))))) 30.029 * [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)))))) 30.030 * [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))))))) 30.032 * [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))))))) 30.036 * [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)))))))))))) 30.036 * * * [progress]: simplifying candidates 30.036 * * * * [progress]: [ 1 / 196 ] simplifiying candidate # 30.036 * * * * [progress]: [ 2 / 196 ] simplifiying candidate # 30.036 * * * * [progress]: [ 3 / 196 ] simplifiying candidate # 30.037 * [simplify]: Simplifying (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)) 30.037 * * [simplify]: iters left: 6 (13 enodes) 30.044 * * [simplify]: iters left: 5 (54 enodes) 30.062 * * [simplify]: iters left: 4 (97 enodes) 30.102 * * [simplify]: iters left: 3 (254 enodes) 30.207 * * [simplify]: Extracting #0: cost 1 inf + 0 30.207 * * [simplify]: Extracting #1: cost 34 inf + 0 30.207 * * [simplify]: Extracting #2: cost 101 inf + 73 30.208 * * [simplify]: Extracting #3: cost 129 inf + 1240 30.210 * * [simplify]: Extracting #4: cost 60 inf + 15084 30.217 * * [simplify]: Extracting #5: cost 5 inf + 32052 30.229 * * [simplify]: Extracting #6: cost 0 inf + 33789 30.244 * [simplify]: Simplified to (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2) 30.244 * [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)))) 30.244 * * * * [progress]: [ 4 / 196 ] simplifiying candidate # 30.244 * [simplify]: Simplifying (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)) 30.245 * * [simplify]: iters left: 6 (12 enodes) 30.251 * * [simplify]: iters left: 5 (52 enodes) 30.268 * * [simplify]: iters left: 4 (90 enodes) 30.302 * * [simplify]: iters left: 3 (207 enodes) 30.397 * * [simplify]: Extracting #0: cost 1 inf + 0 30.397 * * [simplify]: Extracting #1: cost 29 inf + 0 30.397 * * [simplify]: Extracting #2: cost 88 inf + 73 30.398 * * [simplify]: Extracting #3: cost 116 inf + 695 30.399 * * [simplify]: Extracting #4: cost 70 inf + 7498 30.403 * * [simplify]: Extracting #5: cost 27 inf + 17445 30.409 * * [simplify]: Extracting #6: cost 1 inf + 25793 30.420 * * [simplify]: Extracting #7: cost 0 inf + 26056 30.431 * [simplify]: Simplified to (/ (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)) 2) 30.431 * [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)))) 30.432 * * * * [progress]: [ 5 / 196 ] simplifiying candidate # 30.432 * [simplify]: Simplifying (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)) 30.432 * * [simplify]: iters left: 6 (11 enodes) 30.438 * * [simplify]: iters left: 5 (51 enodes) 30.450 * * [simplify]: iters left: 4 (97 enodes) 30.475 * * [simplify]: iters left: 3 (202 enodes) 30.546 * * [simplify]: Extracting #0: cost 1 inf + 0 30.546 * * [simplify]: Extracting #1: cost 31 inf + 0 30.546 * * [simplify]: Extracting #2: cost 93 inf + 2 30.550 * * [simplify]: Extracting #3: cost 128 inf + 201 30.552 * * [simplify]: Extracting #4: cost 93 inf + 4096 30.559 * * [simplify]: Extracting #5: cost 18 inf + 20213 30.569 * * [simplify]: Extracting #6: cost 0 inf + 24488 30.579 * * [simplify]: Extracting #7: cost 0 inf + 24378 30.590 * [simplify]: Simplified to (/ (- (log (* (* n 2) PI)) (* k (log (* (* n 2) PI)))) 2) 30.590 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (exp (/ (- (log (* (* n 2) PI)) (* k (log (* (* n 2) PI)))) 2)))) 30.590 * * * * [progress]: [ 6 / 196 ] simplifiying candidate # 30.590 * * * * [progress]: [ 7 / 196 ] simplifiying candidate # 30.591 * [simplify]: Simplifying (* (* 2 PI) n) 30.591 * * [simplify]: iters left: 4 (5 enodes) 30.594 * * [simplify]: iters left: 3 (19 enodes) 30.600 * * [simplify]: iters left: 2 (27 enodes) 30.608 * * [simplify]: iters left: 1 (32 enodes) 30.616 * * [simplify]: Extracting #0: cost 1 inf + 0 30.616 * * [simplify]: Extracting #1: cost 8 inf + 0 30.617 * * [simplify]: Extracting #2: cost 7 inf + 45 30.617 * * [simplify]: Extracting #3: cost 0 inf + 421 30.617 * [simplify]: Simplified to (* (* 2 PI) n) 30.617 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2))))) 30.617 * * * * [progress]: [ 8 / 196 ] simplifiying candidate # 30.618 * [simplify]: Simplifying (* (* 2 PI) n) 30.618 * * [simplify]: iters left: 4 (5 enodes) 30.620 * * [simplify]: iters left: 3 (19 enodes) 30.626 * * [simplify]: iters left: 2 (27 enodes) 30.634 * * [simplify]: iters left: 1 (32 enodes) 30.639 * * [simplify]: Extracting #0: cost 1 inf + 0 30.639 * * [simplify]: Extracting #1: cost 8 inf + 0 30.639 * * [simplify]: Extracting #2: cost 7 inf + 45 30.639 * * [simplify]: Extracting #3: cost 0 inf + 421 30.639 * [simplify]: Simplified to (* (* 2 PI) n) 30.639 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2))))) 30.639 * * * * [progress]: [ 9 / 196 ] simplifiying candidate # 30.639 * [simplify]: Simplifying (* (* 2 PI) n) 30.639 * * [simplify]: iters left: 4 (5 enodes) 30.641 * * [simplify]: iters left: 3 (19 enodes) 30.644 * * [simplify]: iters left: 2 (27 enodes) 30.648 * * [simplify]: iters left: 1 (32 enodes) 30.651 * * [simplify]: Extracting #0: cost 1 inf + 0 30.652 * * [simplify]: Extracting #1: cost 8 inf + 0 30.652 * * [simplify]: Extracting #2: cost 7 inf + 45 30.652 * * [simplify]: Extracting #3: cost 0 inf + 421 30.652 * [simplify]: Simplified to (* (* 2 PI) n) 30.652 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2))))) 30.652 * * * * [progress]: [ 10 / 196 ] simplifiying candidate # 30.652 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ k 2)) 30.652 * * [simplify]: iters left: 5 (8 enodes) 30.654 * * [simplify]: iters left: 4 (31 enodes) 30.660 * * [simplify]: iters left: 3 (51 enodes) 30.671 * * [simplify]: iters left: 2 (85 enodes) 30.699 * * [simplify]: iters left: 1 (152 enodes) 30.756 * * [simplify]: Extracting #0: cost 1 inf + 0 30.756 * * [simplify]: Extracting #1: cost 13 inf + 0 30.757 * * [simplify]: Extracting #2: cost 60 inf + 1 30.757 * * [simplify]: Extracting #3: cost 76 inf + 51 30.758 * * [simplify]: Extracting #4: cost 44 inf + 2846 30.761 * * [simplify]: Extracting #5: cost 21 inf + 7590 30.766 * * [simplify]: Extracting #6: cost 1 inf + 20687 30.771 * * [simplify]: Extracting #7: cost 0 inf + 20539 30.777 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 30.777 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (/ (pow (* (* 2 PI) n) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))))) 30.777 * * * * [progress]: [ 11 / 196 ] simplifiying candidate # 30.777 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2)) 30.777 * * [simplify]: iters left: 5 (6 enodes) 30.781 * * [simplify]: iters left: 4 (26 enodes) 30.790 * * [simplify]: iters left: 3 (35 enodes) 30.800 * * [simplify]: Extracting #0: cost 1 inf + 0 30.800 * * [simplify]: Extracting #1: cost 3 inf + 0 30.800 * * [simplify]: Extracting #2: cost 8 inf + 0 30.800 * * [simplify]: Extracting #3: cost 11 inf + 2 30.800 * * [simplify]: Extracting #4: cost 8 inf + 87 30.801 * * [simplify]: Extracting #5: cost 2 inf + 500 30.801 * * [simplify]: Extracting #6: cost 0 inf + 746 30.801 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2)) 30.801 * [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))))) 30.802 * * * * [progress]: [ 12 / 196 ] simplifiying candidate # 30.802 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2)) 30.802 * * [simplify]: iters left: 5 (6 enodes) 30.810 * * [simplify]: iters left: 4 (26 enodes) 30.819 * * [simplify]: iters left: 3 (35 enodes) 30.829 * * [simplify]: Extracting #0: cost 1 inf + 0 30.829 * * [simplify]: Extracting #1: cost 3 inf + 0 30.829 * * [simplify]: Extracting #2: cost 8 inf + 0 30.829 * * [simplify]: Extracting #3: cost 11 inf + 2 30.829 * * [simplify]: Extracting #4: cost 8 inf + 87 30.830 * * [simplify]: Extracting #5: cost 2 inf + 460 30.830 * * [simplify]: Extracting #6: cost 0 inf + 666 30.830 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2)) 30.830 * [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))))) 30.830 * * * * [progress]: [ 13 / 196 ] simplifiying candidate # 30.831 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2)) 30.831 * * [simplify]: iters left: 5 (7 enodes) 30.835 * * [simplify]: iters left: 4 (25 enodes) 30.844 * * [simplify]: iters left: 3 (30 enodes) 30.853 * * [simplify]: Extracting #0: cost 1 inf + 0 30.853 * * [simplify]: Extracting #1: cost 4 inf + 0 30.853 * * [simplify]: Extracting #2: cost 8 inf + 0 30.853 * * [simplify]: Extracting #3: cost 10 inf + 82 30.853 * * [simplify]: Extracting #4: cost 7 inf + 206 30.853 * * [simplify]: Extracting #5: cost 2 inf + 575 30.854 * * [simplify]: Extracting #6: cost 1 inf + 818 30.854 * * [simplify]: Extracting #7: cost 0 inf + 1061 30.854 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2)) 30.854 * [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))))) 30.854 * * * * [progress]: [ 14 / 196 ] simplifiying candidate # 30.855 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2)) 30.855 * * [simplify]: iters left: 5 (7 enodes) 30.859 * * [simplify]: iters left: 4 (25 enodes) 30.868 * * [simplify]: iters left: 3 (30 enodes) 30.874 * * [simplify]: Extracting #0: cost 1 inf + 0 30.874 * * [simplify]: Extracting #1: cost 4 inf + 0 30.874 * * [simplify]: Extracting #2: cost 8 inf + 0 30.874 * * [simplify]: Extracting #3: cost 10 inf + 42 30.875 * * [simplify]: Extracting #4: cost 7 inf + 126 30.875 * * [simplify]: Extracting #5: cost 2 inf + 495 30.875 * * [simplify]: Extracting #6: cost 1 inf + 698 30.875 * * [simplify]: Extracting #7: cost 0 inf + 901 30.875 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2)) 30.875 * [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))))) 30.875 * * * * [progress]: [ 15 / 196 ] simplifiying candidate # 30.875 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2) 30.876 * * [simplify]: iters left: 5 (6 enodes) 30.877 * * [simplify]: iters left: 4 (22 enodes) 30.881 * * [simplify]: iters left: 3 (27 enodes) 30.885 * * [simplify]: Extracting #0: cost 1 inf + 0 30.885 * * [simplify]: Extracting #1: cost 4 inf + 0 30.885 * * [simplify]: Extracting #2: cost 5 inf + 1 30.885 * * [simplify]: Extracting #3: cost 9 inf + 1 30.885 * * [simplify]: Extracting #4: cost 8 inf + 3 30.885 * * [simplify]: Extracting #5: cost 4 inf + 169 30.886 * * [simplify]: Extracting #6: cost 1 inf + 576 30.886 * * [simplify]: Extracting #7: cost 0 inf + 739 30.886 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 30.886 * [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)))) 30.886 * * * * [progress]: [ 16 / 196 ] simplifiying candidate # 30.886 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2)) 30.886 * * [simplify]: iters left: 5 (7 enodes) 30.888 * * [simplify]: iters left: 4 (25 enodes) 30.893 * * [simplify]: iters left: 3 (30 enodes) 30.897 * * [simplify]: Extracting #0: cost 1 inf + 0 30.897 * * [simplify]: Extracting #1: cost 4 inf + 0 30.897 * * [simplify]: Extracting #2: cost 8 inf + 0 30.897 * * [simplify]: Extracting #3: cost 10 inf + 82 30.898 * * [simplify]: Extracting #4: cost 7 inf + 206 30.898 * * [simplify]: Extracting #5: cost 2 inf + 495 30.898 * * [simplify]: Extracting #6: cost 1 inf + 698 30.898 * * [simplify]: Extracting #7: cost 0 inf + 901 30.898 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2)) 30.898 * [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))))) 30.898 * * * * [progress]: [ 17 / 196 ] simplifiying candidate # 30.898 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2)) 30.899 * * [simplify]: iters left: 5 (7 enodes) 30.902 * * [simplify]: iters left: 4 (25 enodes) 30.911 * * [simplify]: iters left: 3 (30 enodes) 30.918 * * [simplify]: Extracting #0: cost 1 inf + 0 30.918 * * [simplify]: Extracting #1: cost 4 inf + 0 30.918 * * [simplify]: Extracting #2: cost 8 inf + 0 30.918 * * [simplify]: Extracting #3: cost 10 inf + 42 30.918 * * [simplify]: Extracting #4: cost 7 inf + 126 30.918 * * [simplify]: Extracting #5: cost 2 inf + 415 30.918 * * [simplify]: Extracting #6: cost 1 inf + 578 30.919 * * [simplify]: Extracting #7: cost 0 inf + 741 30.919 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2)) 30.919 * [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))))) 30.919 * * * * [progress]: [ 18 / 196 ] simplifiying candidate # 30.919 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2) 30.919 * * [simplify]: iters left: 5 (6 enodes) 30.921 * * [simplify]: iters left: 4 (22 enodes) 30.925 * * [simplify]: iters left: 3 (27 enodes) 30.932 * * [simplify]: Extracting #0: cost 1 inf + 0 30.932 * * [simplify]: Extracting #1: cost 4 inf + 0 30.932 * * [simplify]: Extracting #2: cost 5 inf + 1 30.932 * * [simplify]: Extracting #3: cost 9 inf + 1 30.932 * * [simplify]: Extracting #4: cost 8 inf + 3 30.932 * * [simplify]: Extracting #5: cost 4 inf + 169 30.933 * * [simplify]: Extracting #6: cost 1 inf + 456 30.933 * * [simplify]: Extracting #7: cost 0 inf + 579 30.933 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 30.933 * [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)))) 30.933 * * * * [progress]: [ 19 / 196 ] simplifiying candidate # 30.933 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 30.933 * * [simplify]: iters left: 4 (6 enodes) 30.935 * * [simplify]: iters left: 3 (25 enodes) 30.940 * * [simplify]: iters left: 2 (36 enodes) 30.945 * * [simplify]: iters left: 1 (40 enodes) 30.951 * * [simplify]: Extracting #0: cost 1 inf + 0 30.951 * * [simplify]: Extracting #1: cost 7 inf + 0 30.952 * * [simplify]: Extracting #2: cost 16 inf + 0 30.952 * * [simplify]: Extracting #3: cost 13 inf + 44 30.952 * * [simplify]: Extracting #4: cost 3 inf + 1103 30.952 * * [simplify]: Extracting #5: cost 0 inf + 1469 30.953 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 30.953 * [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))))) 30.953 * * * * [progress]: [ 20 / 196 ] simplifiying candidate # 30.953 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 30.954 * * [simplify]: iters left: 4 (6 enodes) 30.957 * * [simplify]: iters left: 3 (25 enodes) 30.963 * * [simplify]: iters left: 2 (36 enodes) 30.969 * * [simplify]: iters left: 1 (40 enodes) 30.974 * * [simplify]: Extracting #0: cost 1 inf + 0 30.975 * * [simplify]: Extracting #1: cost 7 inf + 0 30.975 * * [simplify]: Extracting #2: cost 16 inf + 0 30.975 * * [simplify]: Extracting #3: cost 13 inf + 44 30.975 * * [simplify]: Extracting #4: cost 3 inf + 823 30.975 * * [simplify]: Extracting #5: cost 0 inf + 1069 30.975 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 30.975 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))))) 30.975 * * * * [progress]: [ 21 / 196 ] simplifiying candidate # 30.976 * [simplify]: Simplifying (/ (- 1 k) 2) 30.976 * * [simplify]: iters left: 4 (5 enodes) 30.978 * * [simplify]: iters left: 3 (23 enodes) 30.982 * * [simplify]: iters left: 2 (32 enodes) 30.987 * * [simplify]: Extracting #0: cost 1 inf + 0 30.987 * * [simplify]: Extracting #1: cost 6 inf + 0 30.987 * * [simplify]: Extracting #2: cost 9 inf + 2 30.987 * * [simplify]: Extracting #3: cost 6 inf + 87 30.987 * * [simplify]: Extracting #4: cost 0 inf + 420 30.987 * [simplify]: Simplified to (/ (- 1 k) 2) 30.987 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 1)) (/ (- 1 k) 2)))) 30.987 * * * * [progress]: [ 22 / 196 ] simplifiying candidate # 30.987 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 30.987 * * [simplify]: iters left: 5 (8 enodes) 30.993 * * [simplify]: iters left: 4 (31 enodes) 31.003 * * [simplify]: iters left: 3 (45 enodes) 31.016 * * [simplify]: iters left: 2 (51 enodes) 31.030 * * [simplify]: iters left: 1 (52 enodes) 31.047 * * [simplify]: Extracting #0: cost 1 inf + 0 31.047 * * [simplify]: Extracting #1: cost 8 inf + 0 31.047 * * [simplify]: Extracting #2: cost 18 inf + 0 31.047 * * [simplify]: Extracting #3: cost 19 inf + 2 31.047 * * [simplify]: Extracting #4: cost 9 inf + 977 31.048 * * [simplify]: Extracting #5: cost 2 inf + 1790 31.049 * * [simplify]: Extracting #6: cost 0 inf + 2195 31.049 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 31.049 * [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))))) 31.050 * * * * [progress]: [ 23 / 196 ] simplifiying candidate # 31.050 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 31.050 * * [simplify]: iters left: 5 (8 enodes) 31.056 * * [simplify]: iters left: 4 (31 enodes) 31.066 * * [simplify]: iters left: 3 (45 enodes) 31.079 * * [simplify]: iters left: 2 (51 enodes) 31.090 * * [simplify]: iters left: 1 (52 enodes) 31.097 * * [simplify]: Extracting #0: cost 1 inf + 0 31.097 * * [simplify]: Extracting #1: cost 8 inf + 0 31.097 * * [simplify]: Extracting #2: cost 18 inf + 0 31.097 * * [simplify]: Extracting #3: cost 19 inf + 2 31.098 * * [simplify]: Extracting #4: cost 9 inf + 697 31.098 * * [simplify]: Extracting #5: cost 2 inf + 1390 31.098 * * [simplify]: Extracting #6: cost 0 inf + 1715 31.099 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 31.099 * [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))))) 31.099 * * * * [progress]: [ 24 / 196 ] simplifiying candidate # 31.099 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 31.099 * * [simplify]: iters left: 5 (7 enodes) 31.102 * * [simplify]: iters left: 4 (29 enodes) 31.107 * * [simplify]: iters left: 3 (43 enodes) 31.113 * * [simplify]: iters left: 2 (47 enodes) 31.122 * * [simplify]: Extracting #0: cost 1 inf + 0 31.122 * * [simplify]: Extracting #1: cost 7 inf + 0 31.122 * * [simplify]: Extracting #2: cost 11 inf + 2 31.122 * * [simplify]: Extracting #3: cost 13 inf + 3 31.122 * * [simplify]: Extracting #4: cost 11 inf + 45 31.122 * * [simplify]: Extracting #5: cost 0 inf + 1066 31.123 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 31.123 * [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)))) 31.123 * * * * [progress]: [ 25 / 196 ] simplifiying candidate # 31.123 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 31.124 * * [simplify]: iters left: 5 (7 enodes) 31.128 * * [simplify]: iters left: 4 (28 enodes) 31.137 * * [simplify]: iters left: 3 (39 enodes) 31.149 * * [simplify]: iters left: 2 (43 enodes) 31.162 * * [simplify]: Extracting #0: cost 1 inf + 0 31.162 * * [simplify]: Extracting #1: cost 7 inf + 0 31.162 * * [simplify]: Extracting #2: cost 16 inf + 0 31.162 * * [simplify]: Extracting #3: cost 15 inf + 164 31.162 * * [simplify]: Extracting #4: cost 13 inf + 287 31.163 * * [simplify]: Extracting #5: cost 5 inf + 1180 31.163 * * [simplify]: Extracting #6: cost 0 inf + 1951 31.164 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 31.164 * [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))))) 31.164 * * * * [progress]: [ 26 / 196 ] simplifiying candidate # 31.164 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 31.164 * * [simplify]: iters left: 5 (7 enodes) 31.172 * * [simplify]: iters left: 4 (28 enodes) 31.181 * * [simplify]: iters left: 3 (39 enodes) 31.194 * * [simplify]: iters left: 2 (43 enodes) 31.206 * * [simplify]: Extracting #0: cost 1 inf + 0 31.206 * * [simplify]: Extracting #1: cost 7 inf + 0 31.206 * * [simplify]: Extracting #2: cost 16 inf + 0 31.206 * * [simplify]: Extracting #3: cost 15 inf + 84 31.206 * * [simplify]: Extracting #4: cost 13 inf + 167 31.207 * * [simplify]: Extracting #5: cost 5 inf + 900 31.207 * * [simplify]: Extracting #6: cost 0 inf + 1551 31.208 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 31.208 * [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))))) 31.208 * * * * [progress]: [ 27 / 196 ] simplifiying candidate # 31.208 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 31.208 * * [simplify]: iters left: 5 (6 enodes) 31.212 * * [simplify]: iters left: 4 (26 enodes) 31.221 * * [simplify]: iters left: 3 (35 enodes) 31.231 * * [simplify]: Extracting #0: cost 1 inf + 0 31.231 * * [simplify]: Extracting #1: cost 6 inf + 0 31.232 * * [simplify]: Extracting #2: cost 9 inf + 2 31.232 * * [simplify]: Extracting #3: cost 11 inf + 3 31.232 * * [simplify]: Extracting #4: cost 10 inf + 4 31.232 * * [simplify]: Extracting #5: cost 3 inf + 535 31.232 * * [simplify]: Extracting #6: cost 0 inf + 822 31.233 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 31.233 * [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)))) 31.233 * * * * [progress]: [ 28 / 196 ] simplifiying candidate # 31.233 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 31.233 * * [simplify]: iters left: 4 (6 enodes) 31.237 * * [simplify]: iters left: 3 (25 enodes) 31.245 * * [simplify]: iters left: 2 (36 enodes) 31.256 * * [simplify]: iters left: 1 (40 enodes) 31.267 * * [simplify]: Extracting #0: cost 1 inf + 0 31.267 * * [simplify]: Extracting #1: cost 7 inf + 0 31.267 * * [simplify]: Extracting #2: cost 16 inf + 0 31.267 * * [simplify]: Extracting #3: cost 13 inf + 44 31.267 * * [simplify]: Extracting #4: cost 3 inf + 1103 31.268 * * [simplify]: Extracting #5: cost 0 inf + 1469 31.268 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 31.268 * [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))))) 31.268 * * * * [progress]: [ 29 / 196 ] simplifiying candidate # 31.268 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 31.268 * * [simplify]: iters left: 4 (6 enodes) 31.271 * * [simplify]: iters left: 3 (25 enodes) 31.275 * * [simplify]: iters left: 2 (36 enodes) 31.281 * * [simplify]: iters left: 1 (40 enodes) 31.287 * * [simplify]: Extracting #0: cost 1 inf + 0 31.287 * * [simplify]: Extracting #1: cost 7 inf + 0 31.287 * * [simplify]: Extracting #2: cost 16 inf + 0 31.287 * * [simplify]: Extracting #3: cost 13 inf + 44 31.287 * * [simplify]: Extracting #4: cost 3 inf + 823 31.287 * * [simplify]: Extracting #5: cost 0 inf + 1069 31.288 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 31.288 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))))) 31.288 * * * * [progress]: [ 30 / 196 ] simplifiying candidate # 31.288 * [simplify]: Simplifying (/ (- 1 k) 2) 31.288 * * [simplify]: iters left: 4 (5 enodes) 31.290 * * [simplify]: iters left: 3 (23 enodes) 31.294 * * [simplify]: iters left: 2 (32 enodes) 31.305 * * [simplify]: Extracting #0: cost 1 inf + 0 31.305 * * [simplify]: Extracting #1: cost 6 inf + 0 31.305 * * [simplify]: Extracting #2: cost 9 inf + 2 31.305 * * [simplify]: Extracting #3: cost 6 inf + 87 31.305 * * [simplify]: Extracting #4: cost 0 inf + 420 31.306 * [simplify]: Simplified to (/ (- 1 k) 2) 31.306 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 1)) (/ (- 1 k) 2)))) 31.306 * * * * [progress]: [ 31 / 196 ] simplifiying candidate # 31.306 * [simplify]: Simplifying (/ (- 1 k) 2) 31.306 * * [simplify]: iters left: 4 (5 enodes) 31.310 * * [simplify]: iters left: 3 (23 enodes) 31.318 * * [simplify]: iters left: 2 (32 enodes) 31.328 * * [simplify]: Extracting #0: cost 1 inf + 0 31.328 * * [simplify]: Extracting #1: cost 6 inf + 0 31.328 * * [simplify]: Extracting #2: cost 9 inf + 2 31.328 * * [simplify]: Extracting #3: cost 6 inf + 87 31.328 * * [simplify]: Extracting #4: cost 0 inf + 420 31.328 * [simplify]: Simplified to (/ (- 1 k) 2) 31.329 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2)))) 31.329 * * * * [progress]: [ 32 / 196 ] simplifiying candidate # 31.329 * [simplify]: Simplifying (/ 1 2) 31.329 * * [simplify]: iters left: 2 (3 enodes) 31.332 * * [simplify]: iters left: 1 (12 enodes) 31.336 * * [simplify]: Extracting #0: cost 1 inf + 0 31.336 * * [simplify]: Extracting #1: cost 0 inf + 1 31.337 * [simplify]: Simplified to 1/2 31.337 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (- 1 k)) 1/2))) 31.337 * * * * [progress]: [ 33 / 196 ] simplifiying candidate # 31.337 * [simplify]: Simplifying (pow (* 2 PI) (/ (- 1 k) 2)) 31.337 * * [simplify]: iters left: 5 (8 enodes) 31.342 * * [simplify]: iters left: 4 (36 enodes) 31.354 * * [simplify]: iters left: 3 (57 enodes) 31.373 * * [simplify]: iters left: 2 (90 enodes) 31.407 * * [simplify]: iters left: 1 (176 enodes) 31.461 * * [simplify]: Extracting #0: cost 1 inf + 0 31.461 * * [simplify]: Extracting #1: cost 13 inf + 0 31.461 * * [simplify]: Extracting #2: cost 55 inf + 1 31.462 * * [simplify]: Extracting #3: cost 86 inf + 6 31.462 * * [simplify]: Extracting #4: cost 73 inf + 1511 31.465 * * [simplify]: Extracting #5: cost 26 inf + 9176 31.471 * * [simplify]: Extracting #6: cost 2 inf + 22574 31.478 * * [simplify]: Extracting #7: cost 0 inf + 23644 31.482 * [simplify]: Simplified to (pow (* 2 PI) (/ (- 1 k) 2)) 31.482 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))))) 31.482 * * * * [progress]: [ 34 / 196 ] simplifiying candidate # 31.482 * * * * [progress]: [ 35 / 196 ] simplifiying candidate # 31.482 * * * * [progress]: [ 36 / 196 ] simplifiying candidate # 31.482 * * * * [progress]: [ 37 / 196 ] simplifiying candidate # 31.482 * * * * [progress]: [ 38 / 196 ] simplifiying candidate # 31.482 * * * * [progress]: [ 39 / 196 ] simplifiying candidate # 31.483 * * * * [progress]: [ 40 / 196 ] simplifiying candidate # 31.483 * * * * [progress]: [ 41 / 196 ] simplifiying candidate # 31.483 * * * * [progress]: [ 42 / 196 ] simplifiying candidate #real (real->posit16 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))> 31.483 * * * * [progress]: [ 43 / 196 ] simplifiying candidate # 31.483 * * * * [progress]: [ 44 / 196 ] simplifiying candidate # 31.483 * * * * [progress]: [ 45 / 196 ] simplifiying candidate # 31.483 * * * * [progress]: [ 46 / 196 ] simplifiying candidate # 31.483 * [simplify]: Simplifying (- 1/2) 31.483 * * [simplify]: iters left: 2 (2 enodes) 31.484 * * [simplify]: iters left: 1 (7 enodes) 31.486 * * [simplify]: Extracting #0: cost 1 inf + 0 31.486 * * [simplify]: Extracting #1: cost 0 inf + 1 31.486 * [simplify]: Simplified to -1/2 31.486 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 31.486 * * * * [progress]: [ 47 / 196 ] simplifiying candidate # 31.486 * [simplify]: Simplifying (- 1) 31.486 * * [simplify]: iters left: 2 (2 enodes) 31.487 * * [simplify]: iters left: 1 (9 enodes) 31.489 * * [simplify]: Extracting #0: cost 1 inf + 0 31.489 * * [simplify]: Extracting #1: cost 0 inf + 1 31.489 * [simplify]: Simplified to -1 31.489 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (sqrt k) -1) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 31.489 * * * * [progress]: [ 48 / 196 ] simplifiying candidate # 31.489 * [simplify]: Simplifying (- (/ 1 2)) 31.489 * * [simplify]: iters left: 4 (4 enodes) 31.492 * * [simplify]: iters left: 3 (19 enodes) 31.495 * * [simplify]: iters left: 2 (23 enodes) 31.499 * * [simplify]: Extracting #0: cost 1 inf + 0 31.499 * * [simplify]: Extracting #1: cost 0 inf + 1 31.499 * [simplify]: Simplified to -1/2 31.499 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 31.499 * * * * [progress]: [ 49 / 196 ] simplifiying candidate # 31.499 * * * * [progress]: [ 50 / 196 ] simplifiying candidate # 31.499 * * * * [progress]: [ 51 / 196 ] simplifiying candidate # 31.499 * [simplify]: Simplifying (- 0 (log (sqrt k))) 31.499 * * [simplify]: iters left: 4 (5 enodes) 31.500 * * [simplify]: iters left: 3 (17 enodes) 31.503 * * [simplify]: iters left: 2 (21 enodes) 31.506 * * [simplify]: iters left: 1 (23 enodes) 31.510 * * [simplify]: Extracting #0: cost 1 inf + 0 31.510 * * [simplify]: Extracting #1: cost 4 inf + 0 31.510 * * [simplify]: Extracting #2: cost 5 inf + 1 31.510 * * [simplify]: Extracting #3: cost 7 inf + 1 31.510 * * [simplify]: Extracting #4: cost 0 inf + 608 31.510 * [simplify]: Simplified to (- (log (sqrt k))) 31.510 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (log (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 31.510 * * * * [progress]: [ 52 / 196 ] simplifiying candidate # 31.511 * [simplify]: Simplifying (- (log 1) (log (sqrt k))) 31.511 * * [simplify]: iters left: 4 (6 enodes) 31.513 * * [simplify]: iters left: 3 (22 enodes) 31.516 * * [simplify]: Extracting #0: cost 1 inf + 0 31.516 * * [simplify]: Extracting #1: cost 4 inf + 0 31.516 * * [simplify]: Extracting #2: cost 5 inf + 1 31.516 * * [simplify]: Extracting #3: cost 7 inf + 1 31.516 * * [simplify]: Extracting #4: cost 6 inf + 2 31.516 * * [simplify]: Extracting #5: cost 1 inf + 457 31.516 * * [simplify]: Extracting #6: cost 0 inf + 608 31.516 * [simplify]: Simplified to (- (log (sqrt k))) 31.516 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (log (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 31.516 * * * * [progress]: [ 53 / 196 ] simplifiying candidate # 31.517 * * * * [progress]: [ 54 / 196 ] simplifiying candidate # 31.517 * * * * [progress]: [ 55 / 196 ] simplifiying candidate # 31.517 * [simplify]: Simplifying (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))) 31.517 * * [simplify]: iters left: 6 (8 enodes) 31.519 * * [simplify]: iters left: 5 (26 enodes) 31.523 * * [simplify]: iters left: 4 (43 enodes) 31.530 * * [simplify]: iters left: 3 (59 enodes) 31.549 * * [simplify]: iters left: 2 (67 enodes) 31.566 * * [simplify]: iters left: 1 (69 enodes) 31.582 * * [simplify]: Extracting #0: cost 1 inf + 0 31.583 * * [simplify]: Extracting #1: cost 14 inf + 0 31.583 * * [simplify]: Extracting #2: cost 18 inf + 2 31.583 * * [simplify]: Extracting #3: cost 7 inf + 701 31.584 * * [simplify]: Extracting #4: cost 0 inf + 1234 31.584 * [simplify]: Simplified to (/ (/ 1 k) (sqrt k)) 31.584 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (cbrt (/ (/ 1 k) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 31.585 * * * * [progress]: [ 56 / 196 ] simplifiying candidate # 31.585 * * * * [progress]: [ 57 / 196 ] simplifiying candidate # 31.585 * * * * [progress]: [ 58 / 196 ] simplifiying candidate # 31.585 * * * * [progress]: [ 59 / 196 ] simplifiying candidate # 31.585 * * * * [progress]: [ 60 / 196 ] simplifiying candidate # 31.585 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 31.585 * * [simplify]: iters left: 6 (8 enodes) 31.590 * * [simplify]: iters left: 5 (32 enodes) 31.600 * * [simplify]: iters left: 4 (48 enodes) 31.608 * * [simplify]: iters left: 3 (76 enodes) 31.619 * * [simplify]: iters left: 2 (81 enodes) 31.625 * * [simplify]: Extracting #0: cost 1 inf + 0 31.625 * * [simplify]: Extracting #1: cost 6 inf + 0 31.625 * * [simplify]: Extracting #2: cost 9 inf + 1 31.625 * * [simplify]: Extracting #3: cost 11 inf + 1 31.625 * * [simplify]: Extracting #4: cost 2 inf + 1052 31.625 * * [simplify]: Extracting #5: cost 0 inf + 1376 31.626 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 31.626 * [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)))) 31.626 * [simplify]: Simplifying (/ (cbrt 1) (cbrt (sqrt k))) 31.626 * * [simplify]: iters left: 4 (6 enodes) 31.628 * * [simplify]: iters left: 3 (20 enodes) 31.631 * * [simplify]: iters left: 2 (22 enodes) 31.636 * * [simplify]: Extracting #0: cost 1 inf + 0 31.636 * * [simplify]: Extracting #1: cost 4 inf + 0 31.637 * * [simplify]: Extracting #2: cost 5 inf + 1 31.637 * * [simplify]: Extracting #3: cost 7 inf + 1 31.637 * * [simplify]: Extracting #4: cost 1 inf + 488 31.637 * * [simplify]: Extracting #5: cost 0 inf + 650 31.637 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 31.637 * [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)))) 31.637 * * * * [progress]: [ 61 / 196 ] simplifiying candidate # 31.638 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) 31.638 * * [simplify]: iters left: 6 (8 enodes) 31.643 * * [simplify]: iters left: 5 (29 enodes) 31.653 * * [simplify]: iters left: 4 (31 enodes) 31.663 * * [simplify]: Extracting #0: cost 1 inf + 0 31.663 * * [simplify]: Extracting #1: cost 4 inf + 0 31.663 * * [simplify]: Extracting #2: cost 6 inf + 1 31.663 * * [simplify]: Extracting #3: cost 9 inf + 1 31.664 * * [simplify]: Extracting #4: cost 8 inf + 2 31.664 * * [simplify]: Extracting #5: cost 2 inf + 729 31.664 * * [simplify]: Extracting #6: cost 0 inf + 972 31.664 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 31.664 * [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)))) 31.665 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (cbrt k))) 31.665 * * [simplify]: iters left: 4 (6 enodes) 31.669 * * [simplify]: iters left: 3 (20 enodes) 31.675 * * [simplify]: iters left: 2 (22 enodes) 31.681 * * [simplify]: Extracting #0: cost 1 inf + 0 31.682 * * [simplify]: Extracting #1: cost 4 inf + 0 31.682 * * [simplify]: Extracting #2: cost 5 inf + 1 31.682 * * [simplify]: Extracting #3: cost 7 inf + 1 31.682 * * [simplify]: Extracting #4: cost 1 inf + 568 31.682 * * [simplify]: Extracting #5: cost 0 inf + 730 31.682 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 31.682 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 31.682 * * * * [progress]: [ 62 / 196 ] simplifiying candidate # 31.683 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 31.683 * * [simplify]: iters left: 5 (7 enodes) 31.688 * * [simplify]: iters left: 4 (25 enodes) 31.696 * * [simplify]: iters left: 3 (27 enodes) 31.703 * * [simplify]: Extracting #0: cost 1 inf + 0 31.703 * * [simplify]: Extracting #1: cost 4 inf + 0 31.703 * * [simplify]: Extracting #2: cost 5 inf + 1 31.703 * * [simplify]: Extracting #3: cost 7 inf + 1 31.703 * * [simplify]: Extracting #4: cost 6 inf + 2 31.703 * * [simplify]: Extracting #5: cost 2 inf + 368 31.703 * * [simplify]: Extracting #6: cost 0 inf + 490 31.704 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 31.704 * [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)))) 31.704 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt k))) 31.704 * * [simplify]: iters left: 4 (6 enodes) 31.706 * * [simplify]: iters left: 3 (20 enodes) 31.709 * * [simplify]: iters left: 2 (22 enodes) 31.712 * * [simplify]: Extracting #0: cost 1 inf + 0 31.712 * * [simplify]: Extracting #1: cost 4 inf + 0 31.712 * * [simplify]: Extracting #2: cost 5 inf + 1 31.712 * * [simplify]: Extracting #3: cost 7 inf + 1 31.712 * * [simplify]: Extracting #4: cost 1 inf + 368 31.712 * * [simplify]: Extracting #5: cost 0 inf + 490 31.712 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 31.712 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 31.712 * * * * [progress]: [ 63 / 196 ] simplifiying candidate # 31.713 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) 31.713 * * [simplify]: iters left: 5 (5 enodes) 31.718 * * [simplify]: iters left: 4 (19 enodes) 31.720 * * [simplify]: iters left: 3 (21 enodes) 31.723 * * [simplify]: Extracting #0: cost 1 inf + 0 31.723 * * [simplify]: Extracting #1: cost 0 inf + 1 31.723 * [simplify]: Simplified to 1 31.723 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (/ (cbrt 1) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 31.723 * [simplify]: Simplifying (/ (cbrt 1) (sqrt k)) 31.723 * * [simplify]: iters left: 3 (5 enodes) 31.725 * * [simplify]: iters left: 2 (17 enodes) 31.728 * * [simplify]: iters left: 1 (19 enodes) 31.730 * * [simplify]: Extracting #0: cost 1 inf + 0 31.731 * * [simplify]: Extracting #1: cost 4 inf + 0 31.731 * * [simplify]: Extracting #2: cost 5 inf + 1 31.731 * * [simplify]: Extracting #3: cost 0 inf + 248 31.731 * [simplify]: Simplified to (/ 1 (sqrt k)) 31.731 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 31.731 * * * * [progress]: [ 64 / 196 ] simplifiying candidate # 31.731 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 31.731 * * [simplify]: iters left: 5 (7 enodes) 31.734 * * [simplify]: iters left: 4 (25 enodes) 31.740 * * [simplify]: iters left: 3 (27 enodes) 31.747 * * [simplify]: Extracting #0: cost 1 inf + 0 31.747 * * [simplify]: Extracting #1: cost 4 inf + 0 31.747 * * [simplify]: Extracting #2: cost 5 inf + 1 31.747 * * [simplify]: Extracting #3: cost 7 inf + 1 31.747 * * [simplify]: Extracting #4: cost 6 inf + 2 31.747 * * [simplify]: Extracting #5: cost 2 inf + 368 31.747 * * [simplify]: Extracting #6: cost 0 inf + 490 31.748 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 31.748 * [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)))) 31.748 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt k))) 31.748 * * [simplify]: iters left: 4 (6 enodes) 31.752 * * [simplify]: iters left: 3 (20 enodes) 31.758 * * [simplify]: iters left: 2 (22 enodes) 31.764 * * [simplify]: Extracting #0: cost 1 inf + 0 31.764 * * [simplify]: Extracting #1: cost 4 inf + 0 31.764 * * [simplify]: Extracting #2: cost 5 inf + 1 31.764 * * [simplify]: Extracting #3: cost 7 inf + 1 31.764 * * [simplify]: Extracting #4: cost 1 inf + 368 31.764 * * [simplify]: Extracting #5: cost 0 inf + 490 31.764 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 31.764 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 31.764 * * * * [progress]: [ 65 / 196 ] simplifiying candidate # 31.765 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) 1) 31.765 * * [simplify]: iters left: 5 (4 enodes) 31.769 * * [simplify]: iters left: 4 (14 enodes) 31.771 * * [simplify]: iters left: 3 (16 enodes) 31.773 * * [simplify]: Extracting #0: cost 1 inf + 0 31.773 * * [simplify]: Extracting #1: cost 0 inf + 1 31.773 * [simplify]: Simplified to 1 31.773 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (/ (cbrt 1) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 31.773 * [simplify]: Simplifying (/ (cbrt 1) (sqrt k)) 31.773 * * [simplify]: iters left: 3 (5 enodes) 31.776 * * [simplify]: iters left: 2 (17 enodes) 31.781 * * [simplify]: iters left: 1 (19 enodes) 31.784 * * [simplify]: Extracting #0: cost 1 inf + 0 31.784 * * [simplify]: Extracting #1: cost 4 inf + 0 31.784 * * [simplify]: Extracting #2: cost 5 inf + 1 31.784 * * [simplify]: Extracting #3: cost 0 inf + 248 31.784 * [simplify]: Simplified to (/ 1 (sqrt k)) 31.784 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 31.784 * * * * [progress]: [ 66 / 196 ] simplifiying candidate # 31.784 * [simplify]: Simplifying (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 31.784 * * [simplify]: iters left: 6 (7 enodes) 31.787 * * [simplify]: iters left: 5 (25 enodes) 31.791 * * [simplify]: iters left: 4 (32 enodes) 31.796 * * [simplify]: iters left: 3 (34 enodes) 31.802 * * [simplify]: Extracting #0: cost 1 inf + 0 31.802 * * [simplify]: Extracting #1: cost 7 inf + 0 31.802 * * [simplify]: Extracting #2: cost 11 inf + 1 31.802 * * [simplify]: Extracting #3: cost 13 inf + 1 31.802 * * [simplify]: Extracting #4: cost 10 inf + 84 31.803 * * [simplify]: Extracting #5: cost 4 inf + 1014 31.803 * * [simplify]: Extracting #6: cost 1 inf + 1498 31.803 * * [simplify]: Extracting #7: cost 0 inf + 1700 31.804 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 31.804 * [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)))) 31.804 * [simplify]: Simplifying (/ (sqrt 1) (cbrt (sqrt k))) 31.804 * * [simplify]: iters left: 4 (6 enodes) 31.806 * * [simplify]: iters left: 3 (20 enodes) 31.809 * * [simplify]: iters left: 2 (22 enodes) 31.812 * * [simplify]: Extracting #0: cost 1 inf + 0 31.812 * * [simplify]: Extracting #1: cost 4 inf + 0 31.812 * * [simplify]: Extracting #2: cost 5 inf + 1 31.812 * * [simplify]: Extracting #3: cost 7 inf + 1 31.813 * * [simplify]: Extracting #4: cost 1 inf + 488 31.813 * * [simplify]: Extracting #5: cost 0 inf + 650 31.813 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 31.813 * [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)))) 31.813 * * * * [progress]: [ 67 / 196 ] simplifiying candidate # 31.813 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) 31.813 * * [simplify]: iters left: 6 (7 enodes) 31.815 * * [simplify]: iters left: 5 (24 enodes) 31.819 * * [simplify]: iters left: 4 (26 enodes) 31.823 * * [simplify]: Extracting #0: cost 1 inf + 0 31.823 * * [simplify]: Extracting #1: cost 4 inf + 0 31.823 * * [simplify]: Extracting #2: cost 6 inf + 1 31.823 * * [simplify]: Extracting #3: cost 9 inf + 1 31.823 * * [simplify]: Extracting #4: cost 8 inf + 2 31.823 * * [simplify]: Extracting #5: cost 2 inf + 730 31.823 * * [simplify]: Extracting #6: cost 0 inf + 972 31.823 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 31.823 * [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)))) 31.823 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (cbrt k))) 31.823 * * [simplify]: iters left: 4 (6 enodes) 31.825 * * [simplify]: iters left: 3 (20 enodes) 31.828 * * [simplify]: iters left: 2 (22 enodes) 31.832 * * [simplify]: Extracting #0: cost 1 inf + 0 31.832 * * [simplify]: Extracting #1: cost 4 inf + 0 31.832 * * [simplify]: Extracting #2: cost 5 inf + 1 31.832 * * [simplify]: Extracting #3: cost 7 inf + 1 31.832 * * [simplify]: Extracting #4: cost 1 inf + 568 31.832 * * [simplify]: Extracting #5: cost 0 inf + 730 31.832 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 31.832 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 31.832 * * * * [progress]: [ 68 / 196 ] simplifiying candidate # 31.833 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 31.833 * * [simplify]: iters left: 4 (6 enodes) 31.835 * * [simplify]: iters left: 3 (20 enodes) 31.839 * * [simplify]: iters left: 2 (22 enodes) 31.846 * * [simplify]: Extracting #0: cost 1 inf + 0 31.846 * * [simplify]: Extracting #1: cost 4 inf + 0 31.846 * * [simplify]: Extracting #2: cost 5 inf + 1 31.846 * * [simplify]: Extracting #3: cost 7 inf + 1 31.846 * * [simplify]: Extracting #4: cost 1 inf + 368 31.846 * * [simplify]: Extracting #5: cost 0 inf + 490 31.846 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 31.847 * [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)))) 31.847 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 31.847 * * [simplify]: iters left: 4 (6 enodes) 31.851 * * [simplify]: iters left: 3 (20 enodes) 31.857 * * [simplify]: iters left: 2 (22 enodes) 31.863 * * [simplify]: Extracting #0: cost 1 inf + 0 31.863 * * [simplify]: Extracting #1: cost 4 inf + 0 31.863 * * [simplify]: Extracting #2: cost 5 inf + 1 31.863 * * [simplify]: Extracting #3: cost 7 inf + 1 31.863 * * [simplify]: Extracting #4: cost 1 inf + 368 31.863 * * [simplify]: Extracting #5: cost 0 inf + 490 31.864 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 31.864 * [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)))) 31.864 * * * * [progress]: [ 69 / 196 ] simplifiying candidate # 31.864 * [simplify]: Simplifying (/ (sqrt 1) (sqrt 1)) 31.864 * * [simplify]: iters left: 3 (3 enodes) 31.868 * * [simplify]: iters left: 2 (9 enodes) 31.870 * * [simplify]: iters left: 1 (11 enodes) 31.873 * * [simplify]: Extracting #0: cost 1 inf + 0 31.873 * * [simplify]: Extracting #1: cost 0 inf + 1 31.873 * [simplify]: Simplified to 1 31.873 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (/ (sqrt 1) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 31.873 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k)) 31.873 * * [simplify]: iters left: 3 (5 enodes) 31.878 * * [simplify]: iters left: 2 (17 enodes) 31.883 * * [simplify]: iters left: 1 (19 enodes) 31.888 * * [simplify]: Extracting #0: cost 1 inf + 0 31.888 * * [simplify]: Extracting #1: cost 4 inf + 0 31.888 * * [simplify]: Extracting #2: cost 5 inf + 1 31.888 * * [simplify]: Extracting #3: cost 0 inf + 248 31.888 * [simplify]: Simplified to (/ 1 (sqrt k)) 31.888 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 31.888 * * * * [progress]: [ 70 / 196 ] simplifiying candidate # 31.889 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 31.889 * * [simplify]: iters left: 4 (6 enodes) 31.896 * * [simplify]: iters left: 3 (20 enodes) 31.902 * * [simplify]: iters left: 2 (22 enodes) 31.908 * * [simplify]: Extracting #0: cost 1 inf + 0 31.908 * * [simplify]: Extracting #1: cost 4 inf + 0 31.908 * * [simplify]: Extracting #2: cost 5 inf + 1 31.908 * * [simplify]: Extracting #3: cost 7 inf + 1 31.909 * * [simplify]: Extracting #4: cost 1 inf + 368 31.909 * * [simplify]: Extracting #5: cost 0 inf + 490 31.909 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 31.909 * [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)))) 31.909 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 31.910 * * [simplify]: iters left: 4 (6 enodes) 31.913 * * [simplify]: iters left: 3 (20 enodes) 31.920 * * [simplify]: iters left: 2 (22 enodes) 31.926 * * [simplify]: Extracting #0: cost 1 inf + 0 31.926 * * [simplify]: Extracting #1: cost 4 inf + 0 31.926 * * [simplify]: Extracting #2: cost 5 inf + 1 31.926 * * [simplify]: Extracting #3: cost 7 inf + 1 31.926 * * [simplify]: Extracting #4: cost 1 inf + 368 31.926 * * [simplify]: Extracting #5: cost 0 inf + 490 31.926 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 31.926 * [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)))) 31.927 * * * * [progress]: [ 71 / 196 ] simplifiying candidate # 31.927 * [simplify]: Simplifying (/ (sqrt 1) 1) 31.927 * * [simplify]: iters left: 3 (3 enodes) 31.931 * * [simplify]: iters left: 2 (9 enodes) 31.933 * * [simplify]: iters left: 1 (11 enodes) 31.936 * * [simplify]: Extracting #0: cost 1 inf + 0 31.937 * * [simplify]: Extracting #1: cost 0 inf + 1 31.937 * [simplify]: Simplified to 1 31.937 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (/ (sqrt 1) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 31.937 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k)) 31.937 * * [simplify]: iters left: 3 (5 enodes) 31.941 * * [simplify]: iters left: 2 (17 enodes) 31.946 * * [simplify]: iters left: 1 (19 enodes) 31.952 * * [simplify]: Extracting #0: cost 1 inf + 0 31.952 * * [simplify]: Extracting #1: cost 4 inf + 0 31.952 * * [simplify]: Extracting #2: cost 5 inf + 1 31.952 * * [simplify]: Extracting #3: cost 0 inf + 248 31.952 * [simplify]: Simplified to (/ 1 (sqrt k)) 31.953 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 31.953 * * * * [progress]: [ 72 / 196 ] simplifiying candidate # 31.953 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 31.953 * * [simplify]: iters left: 6 (6 enodes) 31.956 * * [simplify]: iters left: 5 (22 enodes) 31.963 * * [simplify]: iters left: 4 (26 enodes) 31.971 * * [simplify]: Extracting #0: cost 1 inf + 0 31.971 * * [simplify]: Extracting #1: cost 6 inf + 0 31.971 * * [simplify]: Extracting #2: cost 9 inf + 1 31.971 * * [simplify]: Extracting #3: cost 11 inf + 1 31.971 * * [simplify]: Extracting #4: cost 8 inf + 84 31.971 * * [simplify]: Extracting #5: cost 2 inf + 1013 31.972 * * [simplify]: Extracting #6: cost 0 inf + 1376 31.972 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 31.972 * [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)))) 31.972 * [simplify]: Simplifying (/ 1 (cbrt (sqrt k))) 31.972 * * [simplify]: iters left: 4 (5 enodes) 31.975 * * [simplify]: iters left: 3 (17 enodes) 31.980 * * [simplify]: iters left: 2 (19 enodes) 31.987 * * [simplify]: Extracting #0: cost 1 inf + 0 31.987 * * [simplify]: Extracting #1: cost 4 inf + 0 31.987 * * [simplify]: Extracting #2: cost 5 inf + 1 31.987 * * [simplify]: Extracting #3: cost 7 inf + 1 31.987 * * [simplify]: Extracting #4: cost 0 inf + 650 31.987 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 31.987 * [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)))) 31.987 * * * * [progress]: [ 73 / 196 ] simplifiying candidate # 31.988 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt k) (cbrt k)))) 31.988 * * [simplify]: iters left: 6 (6 enodes) 31.991 * * [simplify]: iters left: 5 (21 enodes) 31.997 * * [simplify]: iters left: 4 (23 enodes) 32.004 * * [simplify]: Extracting #0: cost 1 inf + 0 32.004 * * [simplify]: Extracting #1: cost 4 inf + 0 32.004 * * [simplify]: Extracting #2: cost 6 inf + 1 32.004 * * [simplify]: Extracting #3: cost 9 inf + 1 32.004 * * [simplify]: Extracting #4: cost 8 inf + 2 32.004 * * [simplify]: Extracting #5: cost 1 inf + 810 32.005 * * [simplify]: Extracting #6: cost 0 inf + 972 32.005 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 32.005 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 32.005 * [simplify]: Simplifying (/ 1 (sqrt (cbrt k))) 32.005 * * [simplify]: iters left: 4 (5 enodes) 32.008 * * [simplify]: iters left: 3 (17 enodes) 32.013 * * [simplify]: iters left: 2 (19 enodes) 32.018 * * [simplify]: Extracting #0: cost 1 inf + 0 32.019 * * [simplify]: Extracting #1: cost 4 inf + 0 32.019 * * [simplify]: Extracting #2: cost 5 inf + 1 32.019 * * [simplify]: Extracting #3: cost 7 inf + 1 32.019 * * [simplify]: Extracting #4: cost 0 inf + 730 32.019 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 32.019 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 32.019 * * * * [progress]: [ 74 / 196 ] simplifiying candidate # 32.020 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 32.020 * * [simplify]: iters left: 4 (5 enodes) 32.022 * * [simplify]: iters left: 3 (17 enodes) 32.027 * * [simplify]: iters left: 2 (19 enodes) 32.033 * * [simplify]: Extracting #0: cost 1 inf + 0 32.033 * * [simplify]: Extracting #1: cost 4 inf + 0 32.033 * * [simplify]: Extracting #2: cost 5 inf + 1 32.033 * * [simplify]: Extracting #3: cost 7 inf + 1 32.033 * * [simplify]: Extracting #4: cost 0 inf + 490 32.033 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 32.034 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 32.034 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 32.034 * * [simplify]: iters left: 4 (5 enodes) 32.037 * * [simplify]: iters left: 3 (17 enodes) 32.042 * * [simplify]: iters left: 2 (19 enodes) 32.048 * * [simplify]: Extracting #0: cost 1 inf + 0 32.048 * * [simplify]: Extracting #1: cost 4 inf + 0 32.048 * * [simplify]: Extracting #2: cost 5 inf + 1 32.048 * * [simplify]: Extracting #3: cost 7 inf + 1 32.048 * * [simplify]: Extracting #4: cost 0 inf + 490 32.049 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 32.049 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 32.049 * * * * [progress]: [ 75 / 196 ] simplifiying candidate # 32.049 * [simplify]: Simplifying (/ 1 (sqrt 1)) 32.049 * * [simplify]: iters left: 3 (3 enodes) 32.058 * * [simplify]: iters left: 2 (11 enodes) 32.061 * * [simplify]: iters left: 1 (13 enodes) 32.064 * * [simplify]: Extracting #0: cost 1 inf + 0 32.064 * * [simplify]: Extracting #1: cost 0 inf + 1 32.064 * [simplify]: Simplified to 1 32.064 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 32.064 * [simplify]: Simplifying (/ 1 (sqrt k)) 32.064 * * [simplify]: iters left: 3 (4 enodes) 32.065 * * [simplify]: iters left: 2 (14 enodes) 32.068 * * [simplify]: iters left: 1 (16 enodes) 32.070 * * [simplify]: Extracting #0: cost 1 inf + 0 32.070 * * [simplify]: Extracting #1: cost 4 inf + 0 32.070 * * [simplify]: Extracting #2: cost 5 inf + 1 32.070 * * [simplify]: Extracting #3: cost 3 inf + 43 32.070 * * [simplify]: Extracting #4: cost 1 inf + 166 32.070 * * [simplify]: Extracting #5: cost 0 inf + 248 32.070 * [simplify]: Simplified to (/ 1 (sqrt k)) 32.070 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 32.070 * * * * [progress]: [ 76 / 196 ] simplifiying candidate # 32.071 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 32.071 * * [simplify]: iters left: 4 (5 enodes) 32.072 * * [simplify]: iters left: 3 (17 enodes) 32.075 * * [simplify]: iters left: 2 (19 enodes) 32.077 * * [simplify]: Extracting #0: cost 1 inf + 0 32.077 * * [simplify]: Extracting #1: cost 4 inf + 0 32.077 * * [simplify]: Extracting #2: cost 5 inf + 1 32.077 * * [simplify]: Extracting #3: cost 7 inf + 1 32.078 * * [simplify]: Extracting #4: cost 0 inf + 490 32.078 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 32.078 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 32.078 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 32.078 * * [simplify]: iters left: 4 (5 enodes) 32.079 * * [simplify]: iters left: 3 (17 enodes) 32.082 * * [simplify]: iters left: 2 (19 enodes) 32.085 * * [simplify]: Extracting #0: cost 1 inf + 0 32.085 * * [simplify]: Extracting #1: cost 4 inf + 0 32.085 * * [simplify]: Extracting #2: cost 5 inf + 1 32.085 * * [simplify]: Extracting #3: cost 7 inf + 1 32.085 * * [simplify]: Extracting #4: cost 0 inf + 490 32.085 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 32.085 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 32.085 * * * * [progress]: [ 77 / 196 ] simplifiying candidate # 32.085 * [simplify]: Simplifying (/ 1 1) 32.085 * * [simplify]: iters left: 2 (2 enodes) 32.086 * * [simplify]: iters left: 1 (6 enodes) 32.087 * * [simplify]: Extracting #0: cost 1 inf + 0 32.087 * * [simplify]: Extracting #1: cost 0 inf + 1 32.087 * [simplify]: Simplified to 1 32.087 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 32.087 * [simplify]: Simplifying (/ 1 (sqrt k)) 32.087 * * [simplify]: iters left: 3 (4 enodes) 32.088 * * [simplify]: iters left: 2 (14 enodes) 32.091 * * [simplify]: iters left: 1 (16 enodes) 32.093 * * [simplify]: Extracting #0: cost 1 inf + 0 32.093 * * [simplify]: Extracting #1: cost 4 inf + 0 32.093 * * [simplify]: Extracting #2: cost 5 inf + 1 32.093 * * [simplify]: Extracting #3: cost 3 inf + 43 32.093 * * [simplify]: Extracting #4: cost 1 inf + 166 32.093 * * [simplify]: Extracting #5: cost 0 inf + 248 32.093 * [simplify]: Simplified to (/ 1 (sqrt k)) 32.093 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 32.093 * * * * [progress]: [ 78 / 196 ] simplifiying candidate # 32.093 * * * * [progress]: [ 79 / 196 ] simplifiying candidate # 32.093 * * * * [progress]: [ 80 / 196 ] simplifiying candidate # 32.094 * * * * [progress]: [ 81 / 196 ] simplifiying candidate # 32.094 * [simplify]: Simplifying (cbrt (sqrt k)) 32.094 * * [simplify]: iters left: 2 (3 enodes) 32.094 * * [simplify]: iters left: 1 (9 enodes) 32.096 * * [simplify]: Extracting #0: cost 1 inf + 0 32.096 * * [simplify]: Extracting #1: cost 3 inf + 0 32.096 * * [simplify]: Extracting #2: cost 5 inf + 0 32.096 * * [simplify]: Extracting #3: cost 4 inf + 1 32.096 * * [simplify]: Extracting #4: cost 0 inf + 325 32.096 * [simplify]: Simplified to (cbrt (sqrt k)) 32.096 * [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)))) 32.096 * * * * [progress]: [ 82 / 196 ] simplifiying candidate # 32.097 * [simplify]: Simplifying (sqrt (cbrt k)) 32.097 * * [simplify]: iters left: 2 (3 enodes) 32.098 * * [simplify]: iters left: 1 (9 enodes) 32.100 * * [simplify]: Extracting #0: cost 1 inf + 0 32.100 * * [simplify]: Extracting #1: cost 3 inf + 0 32.100 * * [simplify]: Extracting #2: cost 5 inf + 0 32.100 * * [simplify]: Extracting #3: cost 4 inf + 1 32.101 * * [simplify]: Extracting #4: cost 0 inf + 405 32.101 * [simplify]: Simplified to (sqrt (cbrt k)) 32.101 * [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)))) 32.101 * * * * [progress]: [ 83 / 196 ] simplifiying candidate # 32.101 * [simplify]: Simplifying (sqrt (sqrt k)) 32.101 * * [simplify]: iters left: 2 (3 enodes) 32.102 * * [simplify]: iters left: 1 (9 enodes) 32.105 * * [simplify]: Extracting #0: cost 1 inf + 0 32.105 * * [simplify]: Extracting #1: cost 3 inf + 0 32.105 * * [simplify]: Extracting #2: cost 5 inf + 0 32.105 * * [simplify]: Extracting #3: cost 4 inf + 1 32.105 * * [simplify]: Extracting #4: cost 0 inf + 245 32.105 * [simplify]: Simplified to (sqrt (sqrt k)) 32.105 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 32.105 * * * * [progress]: [ 84 / 196 ] simplifiying candidate # 32.105 * [simplify]: Simplifying (sqrt k) 32.106 * * [simplify]: iters left: 1 (2 enodes) 32.106 * * [simplify]: Extracting #0: cost 1 inf + 0 32.106 * * [simplify]: Extracting #1: cost 3 inf + 0 32.106 * * [simplify]: Extracting #2: cost 2 inf + 1 32.106 * * [simplify]: Extracting #3: cost 0 inf + 83 32.107 * [simplify]: Simplified to (sqrt k) 32.107 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (/ 1 (sqrt 1)) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 32.107 * * * * [progress]: [ 85 / 196 ] simplifiying candidate # 32.107 * [simplify]: Simplifying (sqrt (sqrt k)) 32.107 * * [simplify]: iters left: 2 (3 enodes) 32.108 * * [simplify]: iters left: 1 (9 enodes) 32.110 * * [simplify]: Extracting #0: cost 1 inf + 0 32.111 * * [simplify]: Extracting #1: cost 3 inf + 0 32.111 * * [simplify]: Extracting #2: cost 5 inf + 0 32.111 * * [simplify]: Extracting #3: cost 4 inf + 1 32.111 * * [simplify]: Extracting #4: cost 0 inf + 245 32.111 * [simplify]: Simplified to (sqrt (sqrt k)) 32.111 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 32.111 * * * * [progress]: [ 86 / 196 ] simplifiying candidate # 32.111 * [simplify]: Simplifying (sqrt k) 32.111 * * [simplify]: iters left: 1 (2 enodes) 32.112 * * [simplify]: Extracting #0: cost 1 inf + 0 32.112 * * [simplify]: Extracting #1: cost 3 inf + 0 32.112 * * [simplify]: Extracting #2: cost 2 inf + 1 32.112 * * [simplify]: Extracting #3: cost 0 inf + 83 32.112 * [simplify]: Simplified to (sqrt k) 32.112 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (/ 1 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 32.113 * * * * [progress]: [ 87 / 196 ] simplifiying candidate # 32.113 * [simplify]: Simplifying (* (cbrt 1) (cbrt 1)) 32.113 * * [simplify]: iters left: 3 (3 enodes) 32.119 * * [simplify]: iters left: 2 (11 enodes) 32.122 * * [simplify]: iters left: 1 (13 enodes) 32.125 * * [simplify]: Extracting #0: cost 1 inf + 0 32.126 * * [simplify]: Extracting #1: cost 0 inf + 1 32.126 * [simplify]: Simplified to 1 32.126 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (/ 1 (/ (sqrt k) (cbrt 1))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 32.126 * * * * [progress]: [ 88 / 196 ] simplifiying candidate # 32.126 * [simplify]: Simplifying (sqrt 1) 32.126 * * [simplify]: iters left: 1 (2 enodes) 32.129 * * [simplify]: Extracting #0: cost 1 inf + 0 32.129 * * [simplify]: Extracting #1: cost 0 inf + 1 32.129 * [simplify]: Simplified to 1 32.130 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (/ 1 (/ (sqrt k) (sqrt 1))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 32.130 * * * * [progress]: [ 89 / 196 ] simplifiying candidate # 32.130 * * * * [progress]: [ 90 / 196 ] simplifiying candidate #real (real->posit16 (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))> 32.130 * * * * [progress]: [ 91 / 196 ] simplifiying candidate # 32.130 * * * * [progress]: [ 92 / 196 ] simplifiying candidate # 32.130 * * * * [progress]: [ 93 / 196 ] simplifiying candidate # 32.130 * [simplify]: Simplifying (* (* 2 PI) n) 32.130 * * [simplify]: iters left: 4 (5 enodes) 32.133 * * [simplify]: iters left: 3 (19 enodes) 32.139 * * [simplify]: iters left: 2 (27 enodes) 32.147 * * [simplify]: iters left: 1 (32 enodes) 32.155 * * [simplify]: Extracting #0: cost 1 inf + 0 32.155 * * [simplify]: Extracting #1: cost 8 inf + 0 32.155 * * [simplify]: Extracting #2: cost 7 inf + 45 32.155 * * [simplify]: Extracting #3: cost 0 inf + 421 32.156 * [simplify]: Simplified to (* (* 2 PI) n) 32.156 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2)))) 32.156 * * * * [progress]: [ 94 / 196 ] simplifiying candidate # 32.156 * [simplify]: Simplifying (* (* 2 PI) n) 32.156 * * [simplify]: iters left: 4 (5 enodes) 32.159 * * [simplify]: iters left: 3 (19 enodes) 32.164 * * [simplify]: iters left: 2 (27 enodes) 32.168 * * [simplify]: iters left: 1 (32 enodes) 32.174 * * [simplify]: Extracting #0: cost 1 inf + 0 32.174 * * [simplify]: Extracting #1: cost 8 inf + 0 32.174 * * [simplify]: Extracting #2: cost 7 inf + 45 32.174 * * [simplify]: Extracting #3: cost 0 inf + 421 32.174 * [simplify]: Simplified to (* (* 2 PI) n) 32.175 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2)))) 32.175 * * * * [progress]: [ 95 / 196 ] simplifiying candidate # 32.175 * * * * [progress]: [ 96 / 196 ] simplifiying candidate # 32.175 * [simplify]: Simplifying (+ (+ (log 2) (log PI)) (log n)) 32.175 * * [simplify]: iters left: 5 (8 enodes) 32.177 * * [simplify]: iters left: 4 (28 enodes) 32.181 * * [simplify]: iters left: 3 (36 enodes) 32.187 * * [simplify]: iters left: 2 (42 enodes) 32.192 * * [simplify]: Extracting #0: cost 1 inf + 0 32.192 * * [simplify]: Extracting #1: cost 8 inf + 0 32.192 * * [simplify]: Extracting #2: cost 17 inf + 0 32.192 * * [simplify]: Extracting #3: cost 13 inf + 74 32.193 * * [simplify]: Extracting #4: cost 6 inf + 1015 32.193 * * [simplify]: Extracting #5: cost 0 inf + 2107 32.194 * [simplify]: Simplified to (+ (log 2) (+ (log PI) (log n))) 32.194 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (exp (+ (log 2) (+ (log PI) (log n)))) (/ (- 1 k) 2)))) 32.194 * * * * [progress]: [ 97 / 196 ] simplifiying candidate # 32.194 * [simplify]: Simplifying (+ (log (* 2 PI)) (log n)) 32.194 * * [simplify]: iters left: 5 (7 enodes) 32.198 * * [simplify]: iters left: 4 (26 enodes) 32.206 * * [simplify]: iters left: 3 (35 enodes) 32.217 * * [simplify]: iters left: 2 (44 enodes) 32.226 * * [simplify]: Extracting #0: cost 1 inf + 0 32.226 * * [simplify]: Extracting #1: cost 8 inf + 0 32.226 * * [simplify]: Extracting #2: cost 18 inf + 0 32.226 * * [simplify]: Extracting #3: cost 15 inf + 74 32.226 * * [simplify]: Extracting #4: cost 6 inf + 918 32.227 * * [simplify]: Extracting #5: cost 0 inf + 1911 32.227 * [simplify]: Simplified to (+ (log (* 2 PI)) (log n)) 32.227 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (exp (+ (log (* 2 PI)) (log n))) (/ (- 1 k) 2)))) 32.227 * * * * [progress]: [ 98 / 196 ] simplifiying candidate # 32.227 * * * * [progress]: [ 99 / 196 ] simplifiying candidate # 32.227 * * * * [progress]: [ 100 / 196 ] simplifiying candidate # 32.227 * [simplify]: Simplifying (* (* (* (* 2 2) 2) (* (* PI PI) PI)) (* (* n n) n)) 32.227 * * [simplify]: iters left: 6 (11 enodes) 32.231 * * [simplify]: iters left: 5 (47 enodes) 32.241 * * [simplify]: iters left: 4 (115 enodes) 32.277 * * [simplify]: iters left: 3 (384 enodes) 32.563 * * [simplify]: Extracting #0: cost 1 inf + 0 32.563 * * [simplify]: Extracting #1: cost 102 inf + 0 32.565 * * [simplify]: Extracting #2: cost 263 inf + 1026 32.576 * * [simplify]: Extracting #3: cost 88 inf + 24284 32.594 * * [simplify]: Extracting #4: cost 2 inf + 40704 32.603 * * [simplify]: Extracting #5: cost 0 inf + 41008 32.613 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n)) 32.613 * [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)))) 32.613 * * * * [progress]: [ 101 / 196 ] simplifiying candidate # 32.613 * [simplify]: Simplifying (* (* (* (* 2 PI) (* 2 PI)) (* 2 PI)) (* (* n n) n)) 32.613 * * [simplify]: iters left: 6 (9 enodes) 32.617 * * [simplify]: iters left: 5 (45 enodes) 32.641 * * [simplify]: iters left: 4 (116 enodes) 32.675 * * [simplify]: iters left: 3 (371 enodes) 32.958 * * [simplify]: Extracting #0: cost 1 inf + 0 32.959 * * [simplify]: Extracting #1: cost 82 inf + 0 32.961 * * [simplify]: Extracting #2: cost 200 inf + 498 32.968 * * [simplify]: Extracting #3: cost 121 inf + 10421 32.985 * * [simplify]: Extracting #4: cost 5 inf + 33505 33.004 * * [simplify]: Extracting #5: cost 0 inf + 33849 33.028 * * [simplify]: Extracting #6: cost 0 inf + 33809 33.047 * [simplify]: Simplified to (* (* n PI) (* 8 (* (* n PI) (* n PI)))) 33.047 * [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)))) 33.048 * * * * [progress]: [ 102 / 196 ] simplifiying candidate # 33.048 * * * * [progress]: [ 103 / 196 ] simplifiying candidate # 33.048 * * * * [progress]: [ 104 / 196 ] simplifiying candidate # 33.048 * * * * [progress]: [ 105 / 196 ] simplifiying candidate # 33.048 * * * * [progress]: [ 106 / 196 ] simplifiying candidate # 33.048 * [simplify]: Simplifying (cbrt n) 33.048 * * [simplify]: iters left: 1 (2 enodes) 33.049 * * [simplify]: Extracting #0: cost 1 inf + 0 33.049 * * [simplify]: Extracting #1: cost 3 inf + 0 33.049 * * [simplify]: Extracting #2: cost 2 inf + 1 33.049 * * [simplify]: Extracting #3: cost 0 inf + 163 33.049 * [simplify]: Simplified to (cbrt n) 33.049 * [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)))) 33.049 * * * * [progress]: [ 107 / 196 ] simplifiying candidate # 33.050 * [simplify]: Simplifying (sqrt n) 33.050 * * [simplify]: iters left: 1 (2 enodes) 33.051 * * [simplify]: Extracting #0: cost 1 inf + 0 33.051 * * [simplify]: Extracting #1: cost 3 inf + 0 33.051 * * [simplify]: Extracting #2: cost 2 inf + 1 33.051 * * [simplify]: Extracting #3: cost 0 inf + 83 33.051 * [simplify]: Simplified to (sqrt n) 33.051 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* (* 2 PI) (sqrt n)) (sqrt n)) (/ (- 1 k) 2)))) 33.051 * * * * [progress]: [ 108 / 196 ] simplifiying candidate # 33.051 * * * * [progress]: [ 109 / 196 ] simplifiying candidate # 33.051 * * * * [progress]: [ 110 / 196 ] simplifiying candidate #real (real->posit16 (* (* 2 PI) n))) (/ (- 1 k) 2))))> 33.051 * * * * [progress]: [ 111 / 196 ] simplifiying candidate # 33.051 * * * * [progress]: [ 112 / 196 ] simplifiying candidate # 33.051 * * * * [progress]: [ 113 / 196 ] simplifiying candidate # 33.051 * * * * [progress]: [ 114 / 196 ] simplifiying candidate # 33.051 * * * * [progress]: [ 115 / 196 ] simplifiying candidate # 33.052 * [simplify]: Simplifying (+ (- (log (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2))) 33.052 * * [simplify]: iters left: 6 (17 enodes) 33.061 * * [simplify]: iters left: 5 (67 enodes) 33.083 * * [simplify]: iters left: 4 (113 enodes) 33.118 * * [simplify]: iters left: 3 (309 enodes) 33.254 * * [simplify]: Extracting #0: cost 1 inf + 0 33.254 * * [simplify]: Extracting #1: cost 34 inf + 0 33.254 * * [simplify]: Extracting #2: cost 93 inf + 0 33.255 * * [simplify]: Extracting #3: cost 135 inf + 492 33.257 * * [simplify]: Extracting #4: cost 122 inf + 7331 33.269 * * [simplify]: Extracting #5: cost 23 inf + 37008 33.278 * * [simplify]: Extracting #6: cost 0 inf + 45359 33.288 * * [simplify]: Extracting #7: cost 0 inf + 45224 33.297 * [simplify]: Simplified to (- (/ (- (+ (log n) (+ (log 2) (log PI))) (* (+ (log n) (+ (log 2) (log PI))) k)) 2) (log (sqrt k))) 33.297 * [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))))) 33.298 * * * * [progress]: [ 116 / 196 ] simplifiying candidate # 33.298 * [simplify]: Simplifying (+ (- (log (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))) 33.298 * * [simplify]: iters left: 6 (16 enodes) 33.305 * * [simplify]: iters left: 5 (65 enodes) 33.326 * * [simplify]: iters left: 4 (106 enodes) 33.370 * * [simplify]: iters left: 3 (247 enodes) 33.506 * * [simplify]: Extracting #0: cost 1 inf + 0 33.507 * * [simplify]: Extracting #1: cost 29 inf + 0 33.507 * * [simplify]: Extracting #2: cost 82 inf + 0 33.508 * * [simplify]: Extracting #3: cost 121 inf + 188 33.510 * * [simplify]: Extracting #4: cost 111 inf + 4901 33.519 * * [simplify]: Extracting #5: cost 38 inf + 22772 33.526 * * [simplify]: Extracting #6: cost 0 inf + 35066 33.533 * * [simplify]: Extracting #7: cost 0 inf + 35064 33.541 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* k (+ (log n) (log (* 2 PI))))) 2) (log (sqrt k))) 33.541 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* k (+ (log n) (log (* 2 PI))))) 2) (log (sqrt k))))) 33.541 * * * * [progress]: [ 117 / 196 ] simplifiying candidate # 33.541 * [simplify]: Simplifying (+ (- (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 33.541 * * [simplify]: iters left: 6 (15 enodes) 33.546 * * [simplify]: iters left: 5 (64 enodes) 33.556 * * [simplify]: iters left: 4 (113 enodes) 33.592 * * [simplify]: iters left: 3 (229 enodes) 33.658 * * [simplify]: Extracting #0: cost 1 inf + 0 33.658 * * [simplify]: Extracting #1: cost 22 inf + 0 33.658 * * [simplify]: Extracting #2: cost 80 inf + 0 33.659 * * [simplify]: Extracting #3: cost 121 inf + 116 33.661 * * [simplify]: Extracting #4: cost 123 inf + 2401 33.666 * * [simplify]: Extracting #5: cost 62 inf + 13255 33.672 * * [simplify]: Extracting #6: cost 5 inf + 28800 33.679 * * [simplify]: Extracting #7: cost 0 inf + 29789 33.686 * * [simplify]: Extracting #8: cost 0 inf + 29774 33.692 * [simplify]: Simplified to (- (/ (- (log (* n (* 2 PI))) (* (log (* n (* 2 PI))) k)) 2) (log (sqrt k))) 33.692 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* n (* 2 PI))) (* (log (* n (* 2 PI))) k)) 2) (log (sqrt k))))) 33.692 * * * * [progress]: [ 118 / 196 ] simplifiying candidate # 33.693 * [simplify]: Simplifying (+ (- (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 33.693 * * [simplify]: iters left: 6 (15 enodes) 33.698 * * [simplify]: iters left: 5 (64 enodes) 33.719 * * [simplify]: iters left: 4 (113 enodes) 33.746 * * [simplify]: iters left: 3 (229 enodes) 33.807 * * [simplify]: Extracting #0: cost 1 inf + 0 33.807 * * [simplify]: Extracting #1: cost 22 inf + 0 33.807 * * [simplify]: Extracting #2: cost 80 inf + 0 33.808 * * [simplify]: Extracting #3: cost 121 inf + 116 33.810 * * [simplify]: Extracting #4: cost 123 inf + 2401 33.815 * * [simplify]: Extracting #5: cost 62 inf + 13255 33.830 * * [simplify]: Extracting #6: cost 5 inf + 28800 33.843 * * [simplify]: Extracting #7: cost 0 inf + 29789 33.857 * * [simplify]: Extracting #8: cost 0 inf + 29774 33.870 * [simplify]: Simplified to (- (/ (- (log (* n (* 2 PI))) (* (log (* n (* 2 PI))) k)) 2) (log (sqrt k))) 33.870 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* n (* 2 PI))) (* (log (* n (* 2 PI))) k)) 2) (log (sqrt k))))) 33.870 * * * * [progress]: [ 119 / 196 ] simplifiying candidate # 33.871 * [simplify]: Simplifying (+ (- (log (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.871 * * [simplify]: iters left: 6 (15 enodes) 33.879 * * [simplify]: iters left: 5 (63 enodes) 33.900 * * [simplify]: iters left: 4 (108 enodes) 33.936 * * [simplify]: iters left: 3 (217 enodes) 34.033 * * [simplify]: Extracting #0: cost 1 inf + 0 34.033 * * [simplify]: Extracting #1: cost 24 inf + 0 34.033 * * [simplify]: Extracting #2: cost 110 inf + 0 34.034 * * [simplify]: Extracting #3: cost 178 inf + 4 34.034 * * [simplify]: Extracting #4: cost 171 inf + 872 34.036 * * [simplify]: Extracting #5: cost 106 inf + 12808 34.042 * * [simplify]: Extracting #6: cost 17 inf + 34781 34.049 * * [simplify]: Extracting #7: cost 0 inf + 40386 34.056 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (log (* 2 (* n PI)))) (log (sqrt k))) 34.057 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log (* 2 (* n PI)))) (log (sqrt k))))) 34.057 * * * * [progress]: [ 120 / 196 ] simplifiying candidate # 34.057 * [simplify]: Simplifying (+ (- 0 (log (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2))) 34.057 * * [simplify]: iters left: 6 (18 enodes) 34.062 * * [simplify]: iters left: 5 (73 enodes) 34.078 * * [simplify]: iters left: 4 (130 enodes) 34.124 * * [simplify]: iters left: 3 (393 enodes) 34.401 * * [simplify]: Extracting #0: cost 1 inf + 0 34.401 * * [simplify]: Extracting #1: cost 49 inf + 0 34.402 * * [simplify]: Extracting #2: cost 175 inf + 1 34.410 * * [simplify]: Extracting #3: cost 228 inf + 936 34.413 * * [simplify]: Extracting #4: cost 233 inf + 4167 34.422 * * [simplify]: Extracting #5: cost 124 inf + 33671 34.449 * * [simplify]: Extracting #6: cost 17 inf + 72418 34.481 * * [simplify]: Extracting #7: cost 0 inf + 79014 34.514 * * [simplify]: Extracting #8: cost 0 inf + 79009 34.534 * [simplify]: Simplified to (- (/ (- (+ (log n) (+ (log PI) (log 2))) (* k (+ (log n) (+ (log PI) (log 2))))) 2) (log (sqrt k))) 34.535 * [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))))) 34.535 * * * * [progress]: [ 121 / 196 ] simplifiying candidate # 34.535 * [simplify]: Simplifying (+ (- 0 (log (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))) 34.535 * * [simplify]: iters left: 6 (17 enodes) 34.541 * * [simplify]: iters left: 5 (71 enodes) 34.555 * * [simplify]: iters left: 4 (123 enodes) 34.606 * * [simplify]: iters left: 3 (314 enodes) 34.761 * * [simplify]: Extracting #0: cost 1 inf + 0 34.762 * * [simplify]: Extracting #1: cost 39 inf + 0 34.763 * * [simplify]: Extracting #2: cost 151 inf + 1 34.764 * * [simplify]: Extracting #3: cost 206 inf + 351 34.768 * * [simplify]: Extracting #4: cost 180 inf + 10056 34.779 * * [simplify]: Extracting #5: cost 27 inf + 53428 34.792 * * [simplify]: Extracting #6: cost 0 inf + 61805 34.810 * * [simplify]: Extracting #7: cost 0 inf + 61801 34.837 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))) 34.837 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))))) 34.842 * * * * [progress]: [ 122 / 196 ] simplifiying candidate # 34.842 * [simplify]: Simplifying (+ (- 0 (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 34.842 * * [simplify]: iters left: 6 (16 enodes) 34.852 * * [simplify]: iters left: 5 (70 enodes) 34.868 * * [simplify]: iters left: 4 (130 enodes) 34.896 * * [simplify]: iters left: 3 (287 enodes) 35.006 * * [simplify]: Extracting #0: cost 1 inf + 0 35.007 * * [simplify]: Extracting #1: cost 30 inf + 0 35.007 * * [simplify]: Extracting #2: cost 130 inf + 1 35.008 * * [simplify]: Extracting #3: cost 188 inf + 308 35.010 * * [simplify]: Extracting #4: cost 173 inf + 5554 35.023 * * [simplify]: Extracting #5: cost 47 inf + 35357 35.033 * * [simplify]: Extracting #6: cost 1 inf + 47747 35.043 * * [simplify]: Extracting #7: cost 0 inf + 48021 35.053 * [simplify]: Simplified to (- (/ (- (log (* (* 2 PI) n)) (* (log (* (* 2 PI) n)) k)) 2) (log (sqrt k))) 35.054 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* 2 PI) n)) (* (log (* (* 2 PI) n)) k)) 2) (log (sqrt k))))) 35.054 * * * * [progress]: [ 123 / 196 ] simplifiying candidate # 35.054 * [simplify]: Simplifying (+ (- 0 (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 35.054 * * [simplify]: iters left: 6 (16 enodes) 35.061 * * [simplify]: iters left: 5 (70 enodes) 35.085 * * [simplify]: iters left: 4 (130 enodes) 35.127 * * [simplify]: iters left: 3 (287 enodes) 35.259 * * [simplify]: Extracting #0: cost 1 inf + 0 35.259 * * [simplify]: Extracting #1: cost 30 inf + 0 35.260 * * [simplify]: Extracting #2: cost 130 inf + 1 35.260 * * [simplify]: Extracting #3: cost 188 inf + 308 35.262 * * [simplify]: Extracting #4: cost 173 inf + 5554 35.268 * * [simplify]: Extracting #5: cost 47 inf + 35357 35.280 * * [simplify]: Extracting #6: cost 1 inf + 47747 35.294 * * [simplify]: Extracting #7: cost 0 inf + 48021 35.304 * [simplify]: Simplified to (- (/ (- (log (* (* 2 PI) n)) (* (log (* (* 2 PI) n)) k)) 2) (log (sqrt k))) 35.304 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* 2 PI) n)) (* (log (* (* 2 PI) n)) k)) 2) (log (sqrt k))))) 35.305 * * * * [progress]: [ 124 / 196 ] simplifiying candidate # 35.305 * [simplify]: Simplifying (+ (- 0 (log (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 35.305 * * [simplify]: iters left: 6 (16 enodes) 35.310 * * [simplify]: iters left: 5 (69 enodes) 35.329 * * [simplify]: iters left: 4 (125 enodes) 35.363 * * [simplify]: iters left: 3 (268 enodes) 35.458 * * [simplify]: Extracting #0: cost 1 inf + 0 35.458 * * [simplify]: Extracting #1: cost 35 inf + 0 35.458 * * [simplify]: Extracting #2: cost 171 inf + 1 35.459 * * [simplify]: Extracting #3: cost 255 inf + 5 35.461 * * [simplify]: Extracting #4: cost 221 inf + 4985 35.467 * * [simplify]: Extracting #5: cost 68 inf + 40619 35.478 * * [simplify]: Extracting #6: cost 2 inf + 62141 35.493 * * [simplify]: Extracting #7: cost 0 inf + 62792 35.515 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (log (* (* 2 PI) n))) (log (sqrt k))) 35.515 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log (* (* 2 PI) n))) (log (sqrt k))))) 35.516 * * * * [progress]: [ 125 / 196 ] simplifiying candidate # 35.516 * [simplify]: Simplifying (+ (- (log 1) (log (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2))) 35.516 * * [simplify]: iters left: 6 (18 enodes) 35.526 * * [simplify]: iters left: 5 (74 enodes) 35.549 * * [simplify]: iters left: 4 (125 enodes) 35.606 * * [simplify]: iters left: 3 (358 enodes) 35.800 * * [simplify]: Extracting #0: cost 1 inf + 0 35.800 * * [simplify]: Extracting #1: cost 49 inf + 0 35.801 * * [simplify]: Extracting #2: cost 178 inf + 1 35.802 * * [simplify]: Extracting #3: cost 233 inf + 744 35.803 * * [simplify]: Extracting #4: cost 223 inf + 6446 35.808 * * [simplify]: Extracting #5: cost 129 inf + 31346 35.825 * * [simplify]: Extracting #6: cost 13 inf + 73037 35.850 * * [simplify]: Extracting #7: cost 0 inf + 78681 35.881 * * [simplify]: Extracting #8: cost 0 inf + 78676 35.912 * [simplify]: Simplified to (- (/ (- (+ (+ (log 2) (log n)) (log PI)) (* k (+ (+ (log 2) (log n)) (log PI)))) 2) (log (sqrt k))) 35.912 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (+ (log 2) (log n)) (log PI)) (* k (+ (+ (log 2) (log n)) (log PI)))) 2) (log (sqrt k))))) 35.912 * * * * [progress]: [ 126 / 196 ] simplifiying candidate # 35.913 * [simplify]: Simplifying (+ (- (log 1) (log (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))) 35.913 * * [simplify]: iters left: 6 (17 enodes) 35.922 * * [simplify]: iters left: 5 (72 enodes) 35.945 * * [simplify]: iters left: 4 (118 enodes) 35.977 * * [simplify]: iters left: 3 (294 enodes) 36.093 * * [simplify]: Extracting #0: cost 1 inf + 0 36.094 * * [simplify]: Extracting #1: cost 42 inf + 0 36.094 * * [simplify]: Extracting #2: cost 151 inf + 1 36.095 * * [simplify]: Extracting #3: cost 203 inf + 602 36.097 * * [simplify]: Extracting #4: cost 191 inf + 6560 36.106 * * [simplify]: Extracting #5: cost 37 inf + 48248 36.122 * * [simplify]: Extracting #6: cost 0 inf + 60434 36.135 * * [simplify]: Extracting #7: cost 0 inf + 60429 36.147 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* PI 2))) (* k (+ (log n) (log (* PI 2))))) 2) (log (sqrt k))) 36.148 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* PI 2))) (* k (+ (log n) (log (* PI 2))))) 2) (log (sqrt k))))) 36.148 * * * * [progress]: [ 127 / 196 ] simplifiying candidate # 36.148 * [simplify]: Simplifying (+ (- (log 1) (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 36.148 * * [simplify]: iters left: 6 (16 enodes) 36.153 * * [simplify]: iters left: 5 (71 enodes) 36.164 * * [simplify]: iters left: 4 (125 enodes) 36.198 * * [simplify]: iters left: 3 (275 enodes) 36.336 * * [simplify]: Extracting #0: cost 1 inf + 0 36.336 * * [simplify]: Extracting #1: cost 31 inf + 0 36.337 * * [simplify]: Extracting #2: cost 131 inf + 1 36.338 * * [simplify]: Extracting #3: cost 186 inf + 612 36.339 * * [simplify]: Extracting #4: cost 177 inf + 4910 36.346 * * [simplify]: Extracting #5: cost 36 inf + 38212 36.356 * * [simplify]: Extracting #6: cost 0 inf + 47750 36.372 * * [simplify]: Extracting #7: cost 0 inf + 47743 36.383 * * [simplify]: Extracting #8: cost 0 inf + 47741 36.394 * [simplify]: Simplified to (- (/ (- (log (* n (* PI 2))) (* (log (* n (* PI 2))) k)) 2) (log (sqrt k))) 36.394 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* n (* PI 2))) (* (log (* n (* PI 2))) k)) 2) (log (sqrt k))))) 36.394 * * * * [progress]: [ 128 / 196 ] simplifiying candidate # 36.394 * [simplify]: Simplifying (+ (- (log 1) (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 36.394 * * [simplify]: iters left: 6 (16 enodes) 36.399 * * [simplify]: iters left: 5 (71 enodes) 36.424 * * [simplify]: iters left: 4 (125 enodes) 36.454 * * [simplify]: iters left: 3 (275 enodes) 36.574 * * [simplify]: Extracting #0: cost 1 inf + 0 36.574 * * [simplify]: Extracting #1: cost 31 inf + 0 36.575 * * [simplify]: Extracting #2: cost 131 inf + 1 36.576 * * [simplify]: Extracting #3: cost 186 inf + 612 36.577 * * [simplify]: Extracting #4: cost 177 inf + 4910 36.584 * * [simplify]: Extracting #5: cost 36 inf + 38212 36.594 * * [simplify]: Extracting #6: cost 0 inf + 47750 36.619 * * [simplify]: Extracting #7: cost 0 inf + 47743 36.639 * * [simplify]: Extracting #8: cost 0 inf + 47741 36.660 * [simplify]: Simplified to (- (/ (- (log (* n (* PI 2))) (* (log (* n (* PI 2))) k)) 2) (log (sqrt k))) 36.660 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* n (* PI 2))) (* (log (* n (* PI 2))) k)) 2) (log (sqrt k))))) 36.660 * * * * [progress]: [ 129 / 196 ] simplifiying candidate # 36.661 * [simplify]: Simplifying (+ (- (log 1) (log (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 36.661 * * [simplify]: iters left: 6 (16 enodes) 36.670 * * [simplify]: iters left: 5 (70 enodes) 36.686 * * [simplify]: iters left: 4 (120 enodes) 36.709 * * [simplify]: iters left: 3 (257 enodes) 36.816 * * [simplify]: Extracting #0: cost 1 inf + 0 36.816 * * [simplify]: Extracting #1: cost 32 inf + 0 36.817 * * [simplify]: Extracting #2: cost 160 inf + 1 36.818 * * [simplify]: Extracting #3: cost 242 inf + 76 36.821 * * [simplify]: Extracting #4: cost 203 inf + 6225 36.838 * * [simplify]: Extracting #5: cost 61 inf + 38019 36.856 * * [simplify]: Extracting #6: cost 2 inf + 57891 36.867 * * [simplify]: Extracting #7: cost 0 inf + 58592 36.877 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (log (* n (* PI 2)))) (log (sqrt k))) 36.878 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log (* n (* PI 2)))) (log (sqrt k))))) 36.878 * * * * [progress]: [ 130 / 196 ] simplifiying candidate # 36.878 * [simplify]: Simplifying (+ (log (/ 1 (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2))) 36.878 * * [simplify]: iters left: 6 (17 enodes) 36.883 * * [simplify]: iters left: 5 (71 enodes) 36.905 * * [simplify]: iters left: 4 (119 enodes) 36.942 * * [simplify]: iters left: 3 (314 enodes) 37.097 * * [simplify]: Extracting #0: cost 1 inf + 0 37.097 * * [simplify]: Extracting #1: cost 35 inf + 0 37.098 * * [simplify]: Extracting #2: cost 104 inf + 1 37.099 * * [simplify]: Extracting #3: cost 143 inf + 757 37.101 * * [simplify]: Extracting #4: cost 140 inf + 4902 37.114 * * [simplify]: Extracting #5: cost 34 inf + 35020 37.134 * * [simplify]: Extracting #6: cost 0 inf + 49439 37.159 * * [simplify]: Extracting #7: cost 0 inf + 49406 37.180 * * [simplify]: Extracting #8: cost 0 inf + 49402 37.200 * * [simplify]: Extracting #9: cost 0 inf + 49401 37.221 * [simplify]: Simplified to (- (/ (- (+ (+ (log PI) (log n)) (log 2)) (* k (+ (+ (log PI) (log n)) (log 2)))) 2) (log (sqrt k))) 37.221 * [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))))) 37.221 * * * * [progress]: [ 131 / 196 ] simplifiying candidate # 37.221 * [simplify]: Simplifying (+ (log (/ 1 (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))) 37.221 * * [simplify]: iters left: 6 (16 enodes) 37.231 * * [simplify]: iters left: 5 (69 enodes) 37.253 * * [simplify]: iters left: 4 (112 enodes) 37.287 * * [simplify]: iters left: 3 (257 enodes) 37.402 * * [simplify]: Extracting #0: cost 1 inf + 0 37.402 * * [simplify]: Extracting #1: cost 31 inf + 0 37.402 * * [simplify]: Extracting #2: cost 94 inf + 1 37.403 * * [simplify]: Extracting #3: cost 132 inf + 503 37.404 * * [simplify]: Extracting #4: cost 128 inf + 3709 37.408 * * [simplify]: Extracting #5: cost 39 inf + 27174 37.417 * * [simplify]: Extracting #6: cost 2 inf + 39194 37.431 * * [simplify]: Extracting #7: cost 0 inf + 39544 37.448 * * [simplify]: Extracting #8: cost 0 inf + 39543 37.466 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))) 37.466 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))))) 37.466 * * * * [progress]: [ 132 / 196 ] simplifiying candidate # 37.466 * [simplify]: Simplifying (+ (log (/ 1 (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 37.467 * * [simplify]: iters left: 6 (15 enodes) 37.475 * * [simplify]: iters left: 5 (68 enodes) 37.501 * * [simplify]: iters left: 4 (119 enodes) 37.541 * * [simplify]: iters left: 3 (239 enodes) 37.610 * * [simplify]: Extracting #0: cost 1 inf + 0 37.610 * * [simplify]: Extracting #1: cost 25 inf + 0 37.610 * * [simplify]: Extracting #2: cost 92 inf + 1 37.611 * * [simplify]: Extracting #3: cost 130 inf + 543 37.612 * * [simplify]: Extracting #4: cost 139 inf + 2074 37.618 * * [simplify]: Extracting #5: cost 57 inf + 18543 37.631 * * [simplify]: Extracting #6: cost 6 inf + 31905 37.644 * * [simplify]: Extracting #7: cost 0 inf + 33686 37.652 * [simplify]: Simplified to (- (/ (- (log (* (* 2 PI) n)) (* (log (* (* 2 PI) n)) k)) 2) (log (sqrt k))) 37.652 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* 2 PI) n)) (* (log (* (* 2 PI) n)) k)) 2) (log (sqrt k))))) 37.652 * * * * [progress]: [ 133 / 196 ] simplifiying candidate # 37.652 * [simplify]: Simplifying (+ (log (/ 1 (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 37.652 * * [simplify]: iters left: 6 (15 enodes) 37.656 * * [simplify]: iters left: 5 (68 enodes) 37.668 * * [simplify]: iters left: 4 (119 enodes) 37.710 * * [simplify]: iters left: 3 (239 enodes) 37.785 * * [simplify]: Extracting #0: cost 1 inf + 0 37.785 * * [simplify]: Extracting #1: cost 25 inf + 0 37.786 * * [simplify]: Extracting #2: cost 92 inf + 1 37.787 * * [simplify]: Extracting #3: cost 130 inf + 543 37.788 * * [simplify]: Extracting #4: cost 139 inf + 2074 37.795 * * [simplify]: Extracting #5: cost 57 inf + 18543 37.808 * * [simplify]: Extracting #6: cost 6 inf + 31905 37.822 * * [simplify]: Extracting #7: cost 0 inf + 33686 37.836 * [simplify]: Simplified to (- (/ (- (log (* (* 2 PI) n)) (* (log (* (* 2 PI) n)) k)) 2) (log (sqrt k))) 37.836 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* 2 PI) n)) (* (log (* (* 2 PI) n)) k)) 2) (log (sqrt k))))) 37.836 * * * * [progress]: [ 134 / 196 ] simplifiying candidate # 37.837 * [simplify]: Simplifying (+ (log (/ 1 (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 37.837 * * [simplify]: iters left: 6 (15 enodes) 37.845 * * [simplify]: iters left: 5 (67 enodes) 37.866 * * [simplify]: iters left: 4 (118 enodes) 37.885 * * [simplify]: iters left: 3 (226 enodes) 37.960 * * [simplify]: Extracting #0: cost 1 inf + 0 37.960 * * [simplify]: Extracting #1: cost 26 inf + 0 37.960 * * [simplify]: Extracting #2: cost 121 inf + 1 37.961 * * [simplify]: Extracting #3: cost 186 inf + 5 37.963 * * [simplify]: Extracting #4: cost 162 inf + 3722 37.972 * * [simplify]: Extracting #5: cost 52 inf + 27263 37.986 * * [simplify]: Extracting #6: cost 3 inf + 41943 37.997 * * [simplify]: Extracting #7: cost 0 inf + 43631 38.004 * [simplify]: Simplified to (- (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)) (log (sqrt k))) 38.005 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)) (log (sqrt k))))) 38.005 * * * * [progress]: [ 135 / 196 ] simplifiying candidate # 38.005 * * * * [progress]: [ 136 / 196 ] simplifiying candidate # 38.005 * * * * [progress]: [ 137 / 196 ] simplifiying candidate # 38.005 * [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)))) 38.005 * * [simplify]: iters left: 6 (19 enodes) 38.011 * * [simplify]: iters left: 5 (80 enodes) 38.035 * * [simplify]: iters left: 4 (188 enodes) 38.124 * * [simplify]: Extracting #0: cost 1 inf + 0 38.124 * * [simplify]: Extracting #1: cost 52 inf + 0 38.125 * * [simplify]: Extracting #2: cost 152 inf + 248 38.126 * * [simplify]: Extracting #3: cost 161 inf + 1681 38.127 * * [simplify]: Extracting #4: cost 148 inf + 2885 38.129 * * [simplify]: Extracting #5: cost 100 inf + 19336 38.140 * * [simplify]: Extracting #6: cost 2 inf + 75093 38.162 * * [simplify]: Extracting #7: cost 0 inf + 75063 38.188 * [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))) 38.188 * [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))))) 38.188 * * * * [progress]: [ 138 / 196 ] simplifiying candidate # 38.189 * [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)))) 38.189 * * [simplify]: iters left: 6 (17 enodes) 38.204 * * [simplify]: iters left: 5 (81 enodes) 38.223 * * [simplify]: iters left: 4 (170 enodes) 38.276 * * [simplify]: iters left: 3 (476 enodes) 38.685 * * [simplify]: Extracting #0: cost 1 inf + 0 38.685 * * [simplify]: Extracting #1: cost 91 inf + 0 38.687 * * [simplify]: Extracting #2: cost 417 inf + 3 38.691 * * [simplify]: Extracting #3: cost 448 inf + 1123 38.697 * * [simplify]: Extracting #4: cost 412 inf + 7804 38.718 * * [simplify]: Extracting #5: cost 247 inf + 96425 38.787 * * [simplify]: Extracting #6: cost 21 inf + 270020 38.836 * * [simplify]: Extracting #7: cost 0 inf + 282339 38.890 * * [simplify]: Extracting #8: cost 0 inf + 279009 38.952 * * [simplify]: Extracting #9: cost 0 inf + 278669 39.009 * [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)))) 39.009 * [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)))))) 39.009 * * * * [progress]: [ 139 / 196 ] simplifiying candidate # 39.009 * * * * [progress]: [ 140 / 196 ] simplifiying candidate # 39.009 * * * * [progress]: [ 141 / 196 ] simplifiying candidate # 39.009 * * * * [progress]: [ 142 / 196 ] simplifiying candidate # 39.009 * [simplify]: Simplifying (* 1 (pow (* (* 2 PI) n) (/ 1 2))) 39.009 * * [simplify]: iters left: 6 (9 enodes) 39.013 * * [simplify]: iters left: 5 (37 enodes) 39.020 * * [simplify]: iters left: 4 (66 enodes) 39.034 * * [simplify]: iters left: 3 (105 enodes) 39.069 * * [simplify]: iters left: 2 (164 enodes) 39.105 * * [simplify]: iters left: 1 (292 enodes) 39.237 * * [simplify]: Extracting #0: cost 1 inf + 0 39.237 * * [simplify]: Extracting #1: cost 18 inf + 0 39.237 * * [simplify]: Extracting #2: cost 64 inf + 3 39.237 * * [simplify]: Extracting #3: cost 68 inf + 53 39.238 * * [simplify]: Extracting #4: cost 55 inf + 2111 39.239 * * [simplify]: Extracting #5: cost 21 inf + 17969 39.243 * * [simplify]: Extracting #6: cost 0 inf + 32739 39.247 * * [simplify]: Extracting #7: cost 0 inf + 32659 39.252 * [simplify]: Simplified to (sqrt (* PI (* 2 n))) 39.252 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (* PI (* 2 n))) (* (sqrt k) (pow (* (* 2 PI) n) (/ k 2))))) 39.252 * [simplify]: Simplifying (* (sqrt k) (pow (* (* 2 PI) n) (/ k 2))) 39.252 * * [simplify]: iters left: 6 (10 enodes) 39.255 * * [simplify]: iters left: 5 (38 enodes) 39.262 * * [simplify]: iters left: 4 (62 enodes) 39.281 * * [simplify]: iters left: 3 (104 enodes) 39.316 * * [simplify]: iters left: 2 (205 enodes) 39.384 * * [simplify]: iters left: 1 (464 enodes) 39.650 * * [simplify]: Extracting #0: cost 1 inf + 0 39.650 * * [simplify]: Extracting #1: cost 47 inf + 0 39.651 * * [simplify]: Extracting #2: cost 169 inf + 0 39.652 * * [simplify]: Extracting #3: cost 207 inf + 87 39.654 * * [simplify]: Extracting #4: cost 170 inf + 6541 39.666 * * [simplify]: Extracting #5: cost 78 inf + 60938 39.704 * * [simplify]: Extracting #6: cost 4 inf + 129528 39.733 * * [simplify]: Extracting #7: cost 0 inf + 129330 39.764 * * [simplify]: Extracting #8: cost 0 inf + 127557 39.805 * * [simplify]: Extracting #9: cost 0 inf + 127427 39.845 * [simplify]: Simplified to (* (pow (* (* 2 PI) n) (/ k 2)) (sqrt k)) 39.845 * [simplify]: Simplified (2 2) to (λ (k n) (/ (sqrt (* PI (* 2 n))) (* (pow (* (* 2 PI) n) (/ k 2)) (sqrt k)))) 39.845 * * * * [progress]: [ 143 / 196 ] simplifiying candidate # 39.845 * * * * [progress]: [ 144 / 196 ] simplifiying candidate # 39.845 * [simplify]: Simplifying (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 39.845 * * [simplify]: iters left: 6 (15 enodes) 39.849 * * [simplify]: iters left: 5 (61 enodes) 39.862 * * [simplify]: iters left: 4 (91 enodes) 39.877 * * [simplify]: iters left: 3 (129 enodes) 39.913 * * [simplify]: iters left: 2 (215 enodes) 39.969 * * [simplify]: iters left: 1 (377 enodes) 40.078 * * [simplify]: Extracting #0: cost 1 inf + 0 40.078 * * [simplify]: Extracting #1: cost 4 inf + 0 40.078 * * [simplify]: Extracting #2: cost 9 inf + 0 40.078 * * [simplify]: Extracting #3: cost 41 inf + 0 40.079 * * [simplify]: Extracting #4: cost 120 inf + 2 40.079 * * [simplify]: Extracting #5: cost 142 inf + 588 40.081 * * [simplify]: Extracting #6: cost 85 inf + 10856 40.088 * * [simplify]: Extracting #7: cost 15 inf + 45576 40.098 * * [simplify]: Extracting #8: cost 0 inf + 58010 40.116 * * [simplify]: Extracting #9: cost 0 inf + 56674 40.141 * * [simplify]: Extracting #10: cost 0 inf + 56383 40.161 * [simplify]: Simplified to (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) 40.161 * [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)))))) 40.161 * [simplify]: Simplifying (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 40.162 * * [simplify]: iters left: 6 (15 enodes) 40.170 * * [simplify]: iters left: 5 (61 enodes) 40.190 * * [simplify]: iters left: 4 (91 enodes) 40.218 * * [simplify]: iters left: 3 (129 enodes) 40.256 * * [simplify]: iters left: 2 (215 enodes) 40.313 * * [simplify]: iters left: 1 (377 enodes) 40.433 * * [simplify]: Extracting #0: cost 1 inf + 0 40.433 * * [simplify]: Extracting #1: cost 4 inf + 0 40.433 * * [simplify]: Extracting #2: cost 9 inf + 0 40.433 * * [simplify]: Extracting #3: cost 41 inf + 0 40.433 * * [simplify]: Extracting #4: cost 120 inf + 2 40.434 * * [simplify]: Extracting #5: cost 142 inf + 588 40.436 * * [simplify]: Extracting #6: cost 85 inf + 10856 40.450 * * [simplify]: Extracting #7: cost 15 inf + 45576 40.469 * * [simplify]: Extracting #8: cost 0 inf + 58010 40.490 * * [simplify]: Extracting #9: cost 0 inf + 56674 40.510 * * [simplify]: Extracting #10: cost 0 inf + 56383 40.530 * [simplify]: Simplified to (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) 40.530 * [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))))))) 40.531 * * * * [progress]: [ 145 / 196 ] simplifiying candidate # 40.531 * [simplify]: Simplifying (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 40.531 * * [simplify]: iters left: 6 (15 enodes) 40.540 * * [simplify]: iters left: 5 (64 enodes) 40.561 * * [simplify]: iters left: 4 (101 enodes) 40.594 * * [simplify]: iters left: 3 (160 enodes) 40.633 * * [simplify]: iters left: 2 (299 enodes) 40.741 * * [simplify]: Extracting #0: cost 1 inf + 0 40.741 * * [simplify]: Extracting #1: cost 34 inf + 0 40.742 * * [simplify]: Extracting #2: cost 102 inf + 0 40.742 * * [simplify]: Extracting #3: cost 155 inf + 2 40.743 * * [simplify]: Extracting #4: cost 168 inf + 139 40.744 * * [simplify]: Extracting #5: cost 136 inf + 4159 40.746 * * [simplify]: Extracting #6: cost 78 inf + 13897 40.754 * * [simplify]: Extracting #7: cost 16 inf + 59233 40.771 * * [simplify]: Extracting #8: cost 0 inf + 73111 40.795 * * [simplify]: Extracting #9: cost 0 inf + 73021 40.816 * [simplify]: Simplified to (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))) 40.816 * [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))))) 40.817 * [simplify]: Simplifying (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 40.817 * * [simplify]: iters left: 6 (15 enodes) 40.826 * * [simplify]: iters left: 5 (64 enodes) 40.841 * * [simplify]: iters left: 4 (101 enodes) 40.858 * * [simplify]: iters left: 3 (160 enodes) 40.904 * * [simplify]: iters left: 2 (299 enodes) 40.993 * * [simplify]: Extracting #0: cost 1 inf + 0 40.994 * * [simplify]: Extracting #1: cost 34 inf + 0 40.994 * * [simplify]: Extracting #2: cost 102 inf + 0 40.995 * * [simplify]: Extracting #3: cost 155 inf + 2 40.996 * * [simplify]: Extracting #4: cost 168 inf + 139 40.999 * * [simplify]: Extracting #5: cost 136 inf + 4159 41.004 * * [simplify]: Extracting #6: cost 78 inf + 13897 41.020 * * [simplify]: Extracting #7: cost 16 inf + 59233 41.046 * * [simplify]: Extracting #8: cost 0 inf + 73111 41.068 * * [simplify]: Extracting #9: cost 0 inf + 73021 41.090 * [simplify]: Simplified to (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))) 41.090 * [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)))))) 41.090 * * * * [progress]: [ 146 / 196 ] simplifiying candidate # 41.091 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 41.091 * * [simplify]: iters left: 6 (16 enodes) 41.100 * * [simplify]: iters left: 5 (66 enodes) 41.121 * * [simplify]: iters left: 4 (106 enodes) 41.155 * * [simplify]: iters left: 3 (156 enodes) 41.196 * * [simplify]: iters left: 2 (230 enodes) 41.251 * * [simplify]: iters left: 1 (385 enodes) 41.393 * * [simplify]: Extracting #0: cost 1 inf + 0 41.394 * * [simplify]: Extracting #1: cost 7 inf + 0 41.394 * * [simplify]: Extracting #2: cost 13 inf + 1 41.394 * * [simplify]: Extracting #3: cost 39 inf + 1 41.394 * * [simplify]: Extracting #4: cost 111 inf + 288 41.395 * * [simplify]: Extracting #5: cost 136 inf + 1737 41.400 * * [simplify]: Extracting #6: cost 67 inf + 17104 41.417 * * [simplify]: Extracting #7: cost 2 inf + 59367 41.430 * * [simplify]: Extracting #8: cost 0 inf + 59071 41.439 * * [simplify]: Extracting #9: cost 0 inf + 58872 41.449 * [simplify]: Simplified to (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 41.449 * [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)))))) 41.449 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 41.449 * * [simplify]: iters left: 6 (16 enodes) 41.454 * * [simplify]: iters left: 5 (66 enodes) 41.474 * * [simplify]: iters left: 4 (106 enodes) 41.513 * * [simplify]: iters left: 3 (156 enodes) 41.555 * * [simplify]: iters left: 2 (230 enodes) 41.604 * * [simplify]: iters left: 1 (385 enodes) 41.719 * * [simplify]: Extracting #0: cost 1 inf + 0 41.719 * * [simplify]: Extracting #1: cost 7 inf + 0 41.719 * * [simplify]: Extracting #2: cost 13 inf + 1 41.719 * * [simplify]: Extracting #3: cost 39 inf + 1 41.720 * * [simplify]: Extracting #4: cost 111 inf + 288 41.721 * * [simplify]: Extracting #5: cost 136 inf + 1737 41.727 * * [simplify]: Extracting #6: cost 67 inf + 17104 41.743 * * [simplify]: Extracting #7: cost 2 inf + 59367 41.753 * * [simplify]: Extracting #8: cost 0 inf + 59071 41.762 * * [simplify]: Extracting #9: cost 0 inf + 58872 41.777 * [simplify]: Simplified to (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 41.777 * [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))))) 41.777 * * * * [progress]: [ 147 / 196 ] simplifiying candidate # 41.778 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 41.778 * * [simplify]: iters left: 6 (16 enodes) 41.788 * * [simplify]: iters left: 5 (69 enodes) 41.811 * * [simplify]: iters left: 4 (113 enodes) 41.850 * * [simplify]: iters left: 3 (192 enodes) 41.927 * * [simplify]: iters left: 2 (378 enodes) 42.050 * * [simplify]: Extracting #0: cost 1 inf + 0 42.050 * * [simplify]: Extracting #1: cost 45 inf + 0 42.051 * * [simplify]: Extracting #2: cost 112 inf + 1 42.052 * * [simplify]: Extracting #3: cost 167 inf + 3 42.054 * * [simplify]: Extracting #4: cost 175 inf + 301 42.056 * * [simplify]: Extracting #5: cost 140 inf + 5145 42.063 * * [simplify]: Extracting #6: cost 79 inf + 18141 42.083 * * [simplify]: Extracting #7: cost 21 inf + 57536 42.104 * * [simplify]: Extracting #8: cost 0 inf + 76625 42.119 * [simplify]: Simplified to (/ (pow (* n (* PI 2)) (* 1/4 (- 1 k))) (sqrt (sqrt k))) 42.120 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* n (* PI 2)) (* 1/4 (- 1 k))) (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))) 42.120 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 42.120 * * [simplify]: iters left: 6 (16 enodes) 42.125 * * [simplify]: iters left: 5 (69 enodes) 42.140 * * [simplify]: iters left: 4 (113 enodes) 42.162 * * [simplify]: iters left: 3 (192 enodes) 42.222 * * [simplify]: iters left: 2 (378 enodes) 42.396 * * [simplify]: Extracting #0: cost 1 inf + 0 42.396 * * [simplify]: Extracting #1: cost 45 inf + 0 42.396 * * [simplify]: Extracting #2: cost 112 inf + 1 42.397 * * [simplify]: Extracting #3: cost 167 inf + 3 42.398 * * [simplify]: Extracting #4: cost 175 inf + 301 42.399 * * [simplify]: Extracting #5: cost 140 inf + 5145 42.403 * * [simplify]: Extracting #6: cost 79 inf + 18141 42.412 * * [simplify]: Extracting #7: cost 21 inf + 57536 42.426 * * [simplify]: Extracting #8: cost 0 inf + 76625 42.456 * [simplify]: Simplified to (/ (pow (* n (* PI 2)) (* 1/4 (- 1 k))) (sqrt (sqrt k))) 42.456 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (/ (pow (* n (* PI 2)) (* 1/4 (- 1 k))) (sqrt (sqrt k))))) 42.456 * * * * [progress]: [ 148 / 196 ] simplifiying candidate # 42.457 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 42.457 * * [simplify]: iters left: 6 (16 enodes) 42.465 * * [simplify]: iters left: 5 (66 enodes) 42.477 * * [simplify]: iters left: 4 (106 enodes) 42.494 * * [simplify]: iters left: 3 (156 enodes) 42.518 * * [simplify]: iters left: 2 (230 enodes) 42.580 * * [simplify]: iters left: 1 (385 enodes) 42.688 * * [simplify]: Extracting #0: cost 1 inf + 0 42.688 * * [simplify]: Extracting #1: cost 7 inf + 0 42.688 * * [simplify]: Extracting #2: cost 13 inf + 1 42.689 * * [simplify]: Extracting #3: cost 39 inf + 1 42.689 * * [simplify]: Extracting #4: cost 111 inf + 288 42.691 * * [simplify]: Extracting #5: cost 136 inf + 1737 42.701 * * [simplify]: Extracting #6: cost 67 inf + 17104 42.717 * * [simplify]: Extracting #7: cost 2 inf + 59367 42.736 * * [simplify]: Extracting #8: cost 0 inf + 59071 42.754 * * [simplify]: Extracting #9: cost 0 inf + 58872 42.765 * [simplify]: Simplified to (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 42.765 * [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)))))) 42.765 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 42.765 * * [simplify]: iters left: 6 (16 enodes) 42.770 * * [simplify]: iters left: 5 (66 enodes) 42.781 * * [simplify]: iters left: 4 (106 enodes) 42.802 * * [simplify]: iters left: 3 (156 enodes) 42.835 * * [simplify]: iters left: 2 (230 enodes) 42.880 * * [simplify]: iters left: 1 (385 enodes) 43.051 * * [simplify]: Extracting #0: cost 1 inf + 0 43.051 * * [simplify]: Extracting #1: cost 7 inf + 0 43.051 * * [simplify]: Extracting #2: cost 13 inf + 1 43.051 * * [simplify]: Extracting #3: cost 39 inf + 1 43.052 * * [simplify]: Extracting #4: cost 111 inf + 288 43.054 * * [simplify]: Extracting #5: cost 136 inf + 1737 43.059 * * [simplify]: Extracting #6: cost 67 inf + 17104 43.076 * * [simplify]: Extracting #7: cost 2 inf + 59367 43.095 * * [simplify]: Extracting #8: cost 0 inf + 59071 43.114 * * [simplify]: Extracting #9: cost 0 inf + 58872 43.132 * [simplify]: Simplified to (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 43.132 * [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))))) 43.133 * * * * [progress]: [ 149 / 196 ] simplifiying candidate # 43.133 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 43.133 * * [simplify]: iters left: 6 (16 enodes) 43.143 * * [simplify]: iters left: 5 (69 enodes) 43.171 * * [simplify]: iters left: 4 (113 enodes) 43.208 * * [simplify]: iters left: 3 (192 enodes) 43.251 * * [simplify]: iters left: 2 (378 enodes) 43.410 * * [simplify]: Extracting #0: cost 1 inf + 0 43.410 * * [simplify]: Extracting #1: cost 45 inf + 0 43.410 * * [simplify]: Extracting #2: cost 112 inf + 1 43.411 * * [simplify]: Extracting #3: cost 167 inf + 3 43.411 * * [simplify]: Extracting #4: cost 175 inf + 301 43.413 * * [simplify]: Extracting #5: cost 140 inf + 5145 43.416 * * [simplify]: Extracting #6: cost 79 inf + 18141 43.432 * * [simplify]: Extracting #7: cost 21 inf + 57536 43.446 * * [simplify]: Extracting #8: cost 0 inf + 76625 43.459 * [simplify]: Simplified to (/ (pow (* n (* PI 2)) (* 1/4 (- 1 k))) (sqrt (sqrt k))) 43.459 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* n (* PI 2)) (* 1/4 (- 1 k))) (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))) 43.460 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 43.460 * * [simplify]: iters left: 6 (16 enodes) 43.465 * * [simplify]: iters left: 5 (69 enodes) 43.482 * * [simplify]: iters left: 4 (113 enodes) 43.509 * * [simplify]: iters left: 3 (192 enodes) 43.570 * * [simplify]: iters left: 2 (378 enodes) 43.718 * * [simplify]: Extracting #0: cost 1 inf + 0 43.718 * * [simplify]: Extracting #1: cost 45 inf + 0 43.719 * * [simplify]: Extracting #2: cost 112 inf + 1 43.719 * * [simplify]: Extracting #3: cost 167 inf + 3 43.721 * * [simplify]: Extracting #4: cost 175 inf + 301 43.723 * * [simplify]: Extracting #5: cost 140 inf + 5145 43.730 * * [simplify]: Extracting #6: cost 79 inf + 18141 43.749 * * [simplify]: Extracting #7: cost 21 inf + 57536 43.774 * * [simplify]: Extracting #8: cost 0 inf + 76625 43.790 * [simplify]: Simplified to (/ (pow (* n (* PI 2)) (* 1/4 (- 1 k))) (sqrt (sqrt k))) 43.790 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (/ (pow (* n (* PI 2)) (* 1/4 (- 1 k))) (sqrt (sqrt k))))) 43.790 * * * * [progress]: [ 150 / 196 ] simplifiying candidate # 43.790 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 43.790 * * [simplify]: iters left: 6 (15 enodes) 43.795 * * [simplify]: iters left: 5 (63 enodes) 43.808 * * [simplify]: iters left: 4 (97 enodes) 43.831 * * [simplify]: iters left: 3 (152 enodes) 43.857 * * [simplify]: iters left: 2 (244 enodes) 43.920 * * [simplify]: iters left: 1 (402 enodes) 44.061 * * [simplify]: Extracting #0: cost 1 inf + 0 44.061 * * [simplify]: Extracting #1: cost 7 inf + 0 44.062 * * [simplify]: Extracting #2: cost 13 inf + 1 44.062 * * [simplify]: Extracting #3: cost 40 inf + 1 44.062 * * [simplify]: Extracting #4: cost 117 inf + 3 44.064 * * [simplify]: Extracting #5: cost 148 inf + 1954 44.066 * * [simplify]: Extracting #6: cost 73 inf + 15740 44.072 * * [simplify]: Extracting #7: cost 32 inf + 32362 44.081 * * [simplify]: Extracting #8: cost 0 inf + 60208 44.094 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))) 44.094 * [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)))))) 44.094 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 44.094 * * [simplify]: iters left: 6 (15 enodes) 44.101 * * [simplify]: iters left: 5 (63 enodes) 44.121 * * [simplify]: iters left: 4 (97 enodes) 44.153 * * [simplify]: iters left: 3 (152 enodes) 44.205 * * [simplify]: iters left: 2 (244 enodes) 44.264 * * [simplify]: iters left: 1 (402 enodes) 44.428 * * [simplify]: Extracting #0: cost 1 inf + 0 44.428 * * [simplify]: Extracting #1: cost 7 inf + 0 44.428 * * [simplify]: Extracting #2: cost 13 inf + 1 44.428 * * [simplify]: Extracting #3: cost 40 inf + 1 44.428 * * [simplify]: Extracting #4: cost 117 inf + 3 44.429 * * [simplify]: Extracting #5: cost 148 inf + 1954 44.432 * * [simplify]: Extracting #6: cost 73 inf + 15740 44.442 * * [simplify]: Extracting #7: cost 32 inf + 32362 44.451 * * [simplify]: Extracting #8: cost 0 inf + 60208 44.460 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))) 44.460 * [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))))) 44.460 * * * * [progress]: [ 151 / 196 ] simplifiying candidate # 44.460 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 44.460 * * [simplify]: iters left: 6 (15 enodes) 44.466 * * [simplify]: iters left: 5 (66 enodes) 44.488 * * [simplify]: iters left: 4 (109 enodes) 44.518 * * [simplify]: iters left: 3 (192 enodes) 44.578 * * [simplify]: iters left: 2 (371 enodes) 44.711 * * [simplify]: Extracting #0: cost 1 inf + 0 44.711 * * [simplify]: Extracting #1: cost 40 inf + 0 44.712 * * [simplify]: Extracting #2: cost 127 inf + 1 44.713 * * [simplify]: Extracting #3: cost 186 inf + 3 44.715 * * [simplify]: Extracting #4: cost 180 inf + 1500 44.725 * * [simplify]: Extracting #5: cost 115 inf + 12508 44.738 * * [simplify]: Extracting #6: cost 18 inf + 70745 44.752 * * [simplify]: Extracting #7: cost 0 inf + 85905 44.765 * [simplify]: Simplified to (/ (pow (* (* PI n) 2) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 44.765 * [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))))) 44.766 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 44.766 * * [simplify]: iters left: 6 (15 enodes) 44.771 * * [simplify]: iters left: 5 (66 enodes) 44.782 * * [simplify]: iters left: 4 (109 enodes) 44.820 * * [simplify]: iters left: 3 (192 enodes) 44.873 * * [simplify]: iters left: 2 (371 enodes) 45.050 * * [simplify]: Extracting #0: cost 1 inf + 0 45.050 * * [simplify]: Extracting #1: cost 40 inf + 0 45.051 * * [simplify]: Extracting #2: cost 127 inf + 1 45.052 * * [simplify]: Extracting #3: cost 186 inf + 3 45.054 * * [simplify]: Extracting #4: cost 180 inf + 1500 45.060 * * [simplify]: Extracting #5: cost 115 inf + 12508 45.079 * * [simplify]: Extracting #6: cost 18 inf + 70745 45.105 * * [simplify]: Extracting #7: cost 0 inf + 85905 45.132 * [simplify]: Simplified to (/ (pow (* (* PI n) 2) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 45.132 * [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))))) 45.133 * * * * [progress]: [ 152 / 196 ] simplifiying candidate # 45.133 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 45.133 * * [simplify]: iters left: 6 (15 enodes) 45.139 * * [simplify]: iters left: 5 (63 enodes) 45.150 * * [simplify]: iters left: 4 (97 enodes) 45.168 * * [simplify]: iters left: 3 (152 enodes) 45.217 * * [simplify]: iters left: 2 (244 enodes) 45.304 * * [simplify]: iters left: 1 (402 enodes) 45.442 * * [simplify]: Extracting #0: cost 1 inf + 0 45.442 * * [simplify]: Extracting #1: cost 7 inf + 0 45.442 * * [simplify]: Extracting #2: cost 13 inf + 1 45.442 * * [simplify]: Extracting #3: cost 40 inf + 1 45.443 * * [simplify]: Extracting #4: cost 117 inf + 3 45.443 * * [simplify]: Extracting #5: cost 148 inf + 1954 45.446 * * [simplify]: Extracting #6: cost 73 inf + 15740 45.456 * * [simplify]: Extracting #7: cost 32 inf + 32362 45.474 * * [simplify]: Extracting #8: cost 0 inf + 60208 45.493 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))) 45.493 * [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)))))) 45.493 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 45.494 * * [simplify]: iters left: 6 (15 enodes) 45.501 * * [simplify]: iters left: 5 (63 enodes) 45.515 * * [simplify]: iters left: 4 (97 enodes) 45.531 * * [simplify]: iters left: 3 (152 enodes) 45.565 * * [simplify]: iters left: 2 (244 enodes) 45.632 * * [simplify]: iters left: 1 (402 enodes) 45.803 * * [simplify]: Extracting #0: cost 1 inf + 0 45.803 * * [simplify]: Extracting #1: cost 7 inf + 0 45.803 * * [simplify]: Extracting #2: cost 13 inf + 1 45.803 * * [simplify]: Extracting #3: cost 40 inf + 1 45.804 * * [simplify]: Extracting #4: cost 117 inf + 3 45.805 * * [simplify]: Extracting #5: cost 148 inf + 1954 45.811 * * [simplify]: Extracting #6: cost 73 inf + 15740 45.822 * * [simplify]: Extracting #7: cost 32 inf + 32362 45.839 * * [simplify]: Extracting #8: cost 0 inf + 60208 45.861 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))) 45.861 * [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))))) 45.861 * * * * [progress]: [ 153 / 196 ] simplifiying candidate # 45.861 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 45.861 * * [simplify]: iters left: 6 (15 enodes) 45.866 * * [simplify]: iters left: 5 (66 enodes) 45.877 * * [simplify]: iters left: 4 (109 enodes) 45.896 * * [simplify]: iters left: 3 (192 enodes) 45.947 * * [simplify]: iters left: 2 (371 enodes) 46.059 * * [simplify]: Extracting #0: cost 1 inf + 0 46.059 * * [simplify]: Extracting #1: cost 40 inf + 0 46.059 * * [simplify]: Extracting #2: cost 127 inf + 1 46.060 * * [simplify]: Extracting #3: cost 186 inf + 3 46.061 * * [simplify]: Extracting #4: cost 180 inf + 1500 46.064 * * [simplify]: Extracting #5: cost 115 inf + 12508 46.073 * * [simplify]: Extracting #6: cost 18 inf + 70745 46.091 * * [simplify]: Extracting #7: cost 0 inf + 85905 46.104 * [simplify]: Simplified to (/ (pow (* (* PI n) 2) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 46.104 * [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))))) 46.105 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 46.105 * * [simplify]: iters left: 6 (15 enodes) 46.109 * * [simplify]: iters left: 5 (66 enodes) 46.121 * * [simplify]: iters left: 4 (109 enodes) 46.141 * * [simplify]: iters left: 3 (192 enodes) 46.213 * * [simplify]: iters left: 2 (371 enodes) 46.349 * * [simplify]: Extracting #0: cost 1 inf + 0 46.349 * * [simplify]: Extracting #1: cost 40 inf + 0 46.350 * * [simplify]: Extracting #2: cost 127 inf + 1 46.351 * * [simplify]: Extracting #3: cost 186 inf + 3 46.358 * * [simplify]: Extracting #4: cost 180 inf + 1500 46.361 * * [simplify]: Extracting #5: cost 115 inf + 12508 46.371 * * [simplify]: Extracting #6: cost 18 inf + 70745 46.384 * * [simplify]: Extracting #7: cost 0 inf + 85905 46.408 * [simplify]: Simplified to (/ (pow (* (* PI n) 2) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 46.408 * [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))))) 46.409 * * * * [progress]: [ 154 / 196 ] simplifiying candidate # 46.409 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 46.409 * * [simplify]: iters left: 5 (7 enodes) 46.414 * * [simplify]: iters left: 4 (32 enodes) 46.425 * * [simplify]: iters left: 3 (57 enodes) 46.443 * * [simplify]: iters left: 2 (88 enodes) 46.474 * * [simplify]: iters left: 1 (156 enodes) 46.536 * * [simplify]: Extracting #0: cost 1 inf + 0 46.536 * * [simplify]: Extracting #1: cost 13 inf + 0 46.536 * * [simplify]: Extracting #2: cost 49 inf + 2 46.536 * * [simplify]: Extracting #3: cost 80 inf + 6 46.537 * * [simplify]: Extracting #4: cost 58 inf + 1840 46.538 * * [simplify]: Extracting #5: cost 22 inf + 9206 46.541 * * [simplify]: Extracting #6: cost 1 inf + 20886 46.544 * * [simplify]: Extracting #7: cost 0 inf + 21301 46.547 * * [simplify]: Extracting #8: cost 0 inf + 21130 46.550 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 46.550 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 46.550 * * * * [progress]: [ 155 / 196 ] simplifiying candidate # 46.550 * [simplify]: Simplifying (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 46.550 * * [simplify]: iters left: 6 (11 enodes) 46.554 * * [simplify]: iters left: 5 (48 enodes) 46.567 * * [simplify]: iters left: 4 (77 enodes) 46.593 * * [simplify]: iters left: 3 (118 enodes) 46.639 * * [simplify]: iters left: 2 (206 enodes) 46.713 * * [simplify]: iters left: 1 (372 enodes) 46.856 * * [simplify]: Extracting #0: cost 1 inf + 0 46.856 * * [simplify]: Extracting #1: cost 3 inf + 0 46.857 * * [simplify]: Extracting #2: cost 27 inf + 0 46.857 * * [simplify]: Extracting #3: cost 104 inf + 1 46.858 * * [simplify]: Extracting #4: cost 163 inf + 176 46.860 * * [simplify]: Extracting #5: cost 158 inf + 478 46.864 * * [simplify]: Extracting #6: cost 99 inf + 10661 46.876 * * [simplify]: Extracting #7: cost 36 inf + 32713 46.901 * * [simplify]: Extracting #8: cost 0 inf + 58050 46.924 * [simplify]: Simplified to (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) 46.924 * [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)))))) 46.925 * * * * [progress]: [ 156 / 196 ] simplifiying candidate # 46.925 * [simplify]: Simplifying (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 46.925 * * [simplify]: iters left: 6 (11 enodes) 46.928 * * [simplify]: iters left: 5 (48 enodes) 46.936 * * [simplify]: iters left: 4 (78 enodes) 46.951 * * [simplify]: iters left: 3 (119 enodes) 46.989 * * [simplify]: iters left: 2 (210 enodes) 47.065 * * [simplify]: iters left: 1 (385 enodes) 47.581 * * [simplify]: Extracting #0: cost 1 inf + 0 47.581 * * [simplify]: Extracting #1: cost 4 inf + 0 47.581 * * [simplify]: Extracting #2: cost 31 inf + 0 47.581 * * [simplify]: Extracting #3: cost 113 inf + 1 47.582 * * [simplify]: Extracting #4: cost 153 inf + 178 47.582 * * [simplify]: Extracting #5: cost 144 inf + 1185 47.587 * * [simplify]: Extracting #6: cost 79 inf + 10570 47.603 * * [simplify]: Extracting #7: cost 13 inf + 47373 47.624 * * [simplify]: Extracting #8: cost 0 inf + 58801 47.646 * [simplify]: Simplified to (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 47.646 * [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))))) 47.646 * * * * [progress]: [ 157 / 196 ] simplifiying candidate # 47.646 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ (- 1 k) 2)) 47.646 * * [simplify]: iters left: 5 (10 enodes) 47.650 * * [simplify]: iters left: 4 (45 enodes) 47.657 * * [simplify]: iters left: 3 (78 enodes) 47.670 * * [simplify]: iters left: 2 (118 enodes) 47.691 * * [simplify]: iters left: 1 (191 enodes) 47.751 * * [simplify]: Extracting #0: cost 1 inf + 0 47.751 * * [simplify]: Extracting #1: cost 13 inf + 0 47.751 * * [simplify]: Extracting #2: cost 59 inf + 1 47.752 * * [simplify]: Extracting #3: cost 91 inf + 7 47.752 * * [simplify]: Extracting #4: cost 83 inf + 556 47.754 * * [simplify]: Extracting #5: cost 33 inf + 11764 47.758 * * [simplify]: Extracting #6: cost 0 inf + 23469 47.763 * * [simplify]: Extracting #7: cost 0 inf + 23146 47.767 * [simplify]: Simplified to (pow (* (* 2 PI) n) (/ (- 1 k) 2)) 47.767 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) 1) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 47.767 * * * * [progress]: [ 158 / 196 ] simplifiying candidate # 47.767 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) 47.767 * * [simplify]: iters left: 6 (11 enodes) 47.774 * * [simplify]: iters left: 5 (51 enodes) 47.791 * * [simplify]: iters left: 4 (87 enodes) 47.816 * * [simplify]: iters left: 3 (143 enodes) 47.845 * * [simplify]: iters left: 2 (259 enodes) 47.901 * * [simplify]: iters left: 1 (471 enodes) 48.139 * * [simplify]: Extracting #0: cost 1 inf + 0 48.139 * * [simplify]: Extracting #1: cost 24 inf + 0 48.140 * * [simplify]: Extracting #2: cost 119 inf + 1 48.140 * * [simplify]: Extracting #3: cost 203 inf + 137 48.142 * * [simplify]: Extracting #4: cost 200 inf + 729 48.145 * * [simplify]: Extracting #5: cost 123 inf + 9170 48.157 * * [simplify]: Extracting #6: cost 38 inf + 34270 48.169 * * [simplify]: Extracting #7: cost 6 inf + 59341 48.179 * * [simplify]: Extracting #8: cost 0 inf + 64938 48.193 * [simplify]: Simplified to (pow (* (* 2 PI) n) (* 1/4 (- 1 k))) 48.193 * [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))))) 48.193 * * * * [progress]: [ 159 / 196 ] simplifiying candidate # 48.194 * [simplify]: Simplifying (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) 48.194 * * [simplify]: iters left: 6 (6 enodes) 48.197 * * [simplify]: iters left: 5 (20 enodes) 48.203 * * [simplify]: iters left: 4 (22 enodes) 48.210 * * [simplify]: Extracting #0: cost 1 inf + 0 48.210 * * [simplify]: Extracting #1: cost 3 inf + 0 48.210 * * [simplify]: Extracting #2: cost 5 inf + 0 48.210 * * [simplify]: Extracting #3: cost 8 inf + 0 48.210 * * [simplify]: Extracting #4: cost 9 inf + 1 48.210 * * [simplify]: Extracting #5: cost 8 inf + 2 48.211 * * [simplify]: Extracting #6: cost 1 inf + 774 48.211 * * [simplify]: Extracting #7: cost 0 inf + 976 48.211 * [simplify]: Simplified to (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) 48.211 * [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))))) 48.211 * * * * [progress]: [ 160 / 196 ] simplifiying candidate # 48.212 * [simplify]: Simplifying (sqrt (/ 1 (sqrt k))) 48.212 * * [simplify]: iters left: 4 (5 enodes) 48.214 * * [simplify]: iters left: 3 (17 enodes) 48.223 * * [simplify]: iters left: 2 (19 enodes) 48.229 * * [simplify]: Extracting #0: cost 1 inf + 0 48.229 * * [simplify]: Extracting #1: cost 3 inf + 0 48.229 * * [simplify]: Extracting #2: cost 6 inf + 0 48.229 * * [simplify]: Extracting #3: cost 7 inf + 1 48.229 * * [simplify]: Extracting #4: cost 0 inf + 492 48.229 * [simplify]: Simplified to (sqrt (/ 1 (sqrt k))) 48.229 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 48.229 * * * * [progress]: [ 161 / 196 ] simplifiying candidate # 48.230 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 48.230 * * [simplify]: iters left: 6 (8 enodes) 48.234 * * [simplify]: iters left: 5 (32 enodes) 48.245 * * [simplify]: iters left: 4 (48 enodes) 48.261 * * [simplify]: iters left: 3 (76 enodes) 48.274 * * [simplify]: iters left: 2 (81 enodes) 48.280 * * [simplify]: Extracting #0: cost 1 inf + 0 48.280 * * [simplify]: Extracting #1: cost 6 inf + 0 48.280 * * [simplify]: Extracting #2: cost 9 inf + 1 48.280 * * [simplify]: Extracting #3: cost 11 inf + 1 48.280 * * [simplify]: Extracting #4: cost 2 inf + 1052 48.281 * * [simplify]: Extracting #5: cost 0 inf + 1376 48.281 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 48.281 * [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))))) 48.281 * * * * [progress]: [ 162 / 196 ] simplifiying candidate # 48.281 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) 48.281 * * [simplify]: iters left: 6 (8 enodes) 48.284 * * [simplify]: iters left: 5 (29 enodes) 48.289 * * [simplify]: iters left: 4 (31 enodes) 48.293 * * [simplify]: Extracting #0: cost 1 inf + 0 48.293 * * [simplify]: Extracting #1: cost 4 inf + 0 48.293 * * [simplify]: Extracting #2: cost 6 inf + 1 48.293 * * [simplify]: Extracting #3: cost 9 inf + 1 48.293 * * [simplify]: Extracting #4: cost 8 inf + 2 48.293 * * [simplify]: Extracting #5: cost 2 inf + 729 48.293 * * [simplify]: Extracting #6: cost 0 inf + 972 48.294 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 48.294 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (* (/ (cbrt 1) (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 48.294 * * * * [progress]: [ 163 / 196 ] simplifiying candidate # 48.294 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 48.294 * * [simplify]: iters left: 5 (7 enodes) 48.297 * * [simplify]: iters left: 4 (25 enodes) 48.301 * * [simplify]: iters left: 3 (27 enodes) 48.305 * * [simplify]: Extracting #0: cost 1 inf + 0 48.305 * * [simplify]: Extracting #1: cost 4 inf + 0 48.305 * * [simplify]: Extracting #2: cost 5 inf + 1 48.305 * * [simplify]: Extracting #3: cost 7 inf + 1 48.305 * * [simplify]: Extracting #4: cost 6 inf + 2 48.305 * * [simplify]: Extracting #5: cost 2 inf + 368 48.305 * * [simplify]: Extracting #6: cost 0 inf + 490 48.305 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 48.305 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ (cbrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 48.305 * * * * [progress]: [ 164 / 196 ] simplifiying candidate # 48.306 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) 48.306 * * [simplify]: iters left: 5 (5 enodes) 48.311 * * [simplify]: iters left: 4 (19 enodes) 48.314 * * [simplify]: iters left: 3 (21 enodes) 48.317 * * [simplify]: Extracting #0: cost 1 inf + 0 48.317 * * [simplify]: Extracting #1: cost 0 inf + 1 48.317 * [simplify]: Simplified to 1 48.317 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (* (/ (cbrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 48.317 * * * * [progress]: [ 165 / 196 ] simplifiying candidate # 48.317 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 48.317 * * [simplify]: iters left: 5 (7 enodes) 48.320 * * [simplify]: iters left: 4 (25 enodes) 48.326 * * [simplify]: iters left: 3 (27 enodes) 48.332 * * [simplify]: Extracting #0: cost 1 inf + 0 48.332 * * [simplify]: Extracting #1: cost 4 inf + 0 48.333 * * [simplify]: Extracting #2: cost 5 inf + 1 48.333 * * [simplify]: Extracting #3: cost 7 inf + 1 48.333 * * [simplify]: Extracting #4: cost 6 inf + 2 48.333 * * [simplify]: Extracting #5: cost 2 inf + 368 48.333 * * [simplify]: Extracting #6: cost 0 inf + 490 48.333 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 48.333 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ (cbrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 48.333 * * * * [progress]: [ 166 / 196 ] simplifiying candidate # 48.334 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) 1) 48.334 * * [simplify]: iters left: 5 (4 enodes) 48.340 * * [simplify]: iters left: 4 (14 enodes) 48.343 * * [simplify]: iters left: 3 (16 enodes) 48.346 * * [simplify]: Extracting #0: cost 1 inf + 0 48.346 * * [simplify]: Extracting #1: cost 0 inf + 1 48.346 * [simplify]: Simplified to 1 48.346 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (* (/ (cbrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 48.346 * * * * [progress]: [ 167 / 196 ] simplifiying candidate # 48.347 * [simplify]: Simplifying (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 48.347 * * [simplify]: iters left: 6 (7 enodes) 48.351 * * [simplify]: iters left: 5 (25 enodes) 48.358 * * [simplify]: iters left: 4 (32 enodes) 48.363 * * [simplify]: iters left: 3 (34 enodes) 48.368 * * [simplify]: Extracting #0: cost 1 inf + 0 48.368 * * [simplify]: Extracting #1: cost 7 inf + 0 48.368 * * [simplify]: Extracting #2: cost 11 inf + 1 48.368 * * [simplify]: Extracting #3: cost 13 inf + 1 48.368 * * [simplify]: Extracting #4: cost 10 inf + 84 48.368 * * [simplify]: Extracting #5: cost 4 inf + 1014 48.369 * * [simplify]: Extracting #6: cost 1 inf + 1498 48.369 * * [simplify]: Extracting #7: cost 0 inf + 1700 48.369 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 48.369 * [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))))) 48.369 * * * * [progress]: [ 168 / 196 ] simplifiying candidate # 48.369 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) 48.369 * * [simplify]: iters left: 6 (7 enodes) 48.372 * * [simplify]: iters left: 5 (24 enodes) 48.375 * * [simplify]: iters left: 4 (26 enodes) 48.379 * * [simplify]: Extracting #0: cost 1 inf + 0 48.379 * * [simplify]: Extracting #1: cost 4 inf + 0 48.379 * * [simplify]: Extracting #2: cost 6 inf + 1 48.379 * * [simplify]: Extracting #3: cost 9 inf + 1 48.379 * * [simplify]: Extracting #4: cost 8 inf + 2 48.379 * * [simplify]: Extracting #5: cost 2 inf + 730 48.379 * * [simplify]: Extracting #6: cost 0 inf + 972 48.379 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 48.379 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (* (/ (sqrt 1) (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 48.379 * * * * [progress]: [ 169 / 196 ] simplifiying candidate # 48.379 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 48.379 * * [simplify]: iters left: 4 (6 enodes) 48.381 * * [simplify]: iters left: 3 (20 enodes) 48.384 * * [simplify]: iters left: 2 (22 enodes) 48.388 * * [simplify]: Extracting #0: cost 1 inf + 0 48.388 * * [simplify]: Extracting #1: cost 4 inf + 0 48.388 * * [simplify]: Extracting #2: cost 5 inf + 1 48.388 * * [simplify]: Extracting #3: cost 7 inf + 1 48.388 * * [simplify]: Extracting #4: cost 1 inf + 368 48.388 * * [simplify]: Extracting #5: cost 0 inf + 490 48.388 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 48.388 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 48.388 * * * * [progress]: [ 170 / 196 ] simplifiying candidate # 48.389 * [simplify]: Simplifying (/ (sqrt 1) (sqrt 1)) 48.389 * * [simplify]: iters left: 3 (3 enodes) 48.392 * * [simplify]: iters left: 2 (9 enodes) 48.395 * * [simplify]: iters left: 1 (11 enodes) 48.397 * * [simplify]: Extracting #0: cost 1 inf + 0 48.397 * * [simplify]: Extracting #1: cost 0 inf + 1 48.397 * [simplify]: Simplified to 1 48.397 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (* (/ (sqrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 48.398 * * * * [progress]: [ 171 / 196 ] simplifiying candidate # 48.398 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 48.398 * * [simplify]: iters left: 4 (6 enodes) 48.402 * * [simplify]: iters left: 3 (20 enodes) 48.407 * * [simplify]: iters left: 2 (22 enodes) 48.414 * * [simplify]: Extracting #0: cost 1 inf + 0 48.414 * * [simplify]: Extracting #1: cost 4 inf + 0 48.414 * * [simplify]: Extracting #2: cost 5 inf + 1 48.414 * * [simplify]: Extracting #3: cost 7 inf + 1 48.414 * * [simplify]: Extracting #4: cost 1 inf + 368 48.414 * * [simplify]: Extracting #5: cost 0 inf + 490 48.414 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 48.414 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 48.414 * * * * [progress]: [ 172 / 196 ] simplifiying candidate # 48.415 * [simplify]: Simplifying (/ (sqrt 1) 1) 48.415 * * [simplify]: iters left: 3 (3 enodes) 48.418 * * [simplify]: iters left: 2 (9 enodes) 48.420 * * [simplify]: iters left: 1 (11 enodes) 48.422 * * [simplify]: Extracting #0: cost 1 inf + 0 48.422 * * [simplify]: Extracting #1: cost 0 inf + 1 48.422 * [simplify]: Simplified to 1 48.422 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (* (/ (sqrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 48.422 * * * * [progress]: [ 173 / 196 ] simplifiying candidate # 48.422 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 48.422 * * [simplify]: iters left: 6 (6 enodes) 48.424 * * [simplify]: iters left: 5 (22 enodes) 48.428 * * [simplify]: iters left: 4 (26 enodes) 48.432 * * [simplify]: Extracting #0: cost 1 inf + 0 48.432 * * [simplify]: Extracting #1: cost 6 inf + 0 48.432 * * [simplify]: Extracting #2: cost 9 inf + 1 48.432 * * [simplify]: Extracting #3: cost 11 inf + 1 48.432 * * [simplify]: Extracting #4: cost 8 inf + 84 48.432 * * [simplify]: Extracting #5: cost 2 inf + 1013 48.432 * * [simplify]: Extracting #6: cost 0 inf + 1376 48.433 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 48.433 * [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))))) 48.433 * * * * [progress]: [ 174 / 196 ] simplifiying candidate # 48.433 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt k) (cbrt k)))) 48.433 * * [simplify]: iters left: 6 (6 enodes) 48.435 * * [simplify]: iters left: 5 (21 enodes) 48.440 * * [simplify]: iters left: 4 (23 enodes) 48.443 * * [simplify]: Extracting #0: cost 1 inf + 0 48.443 * * [simplify]: Extracting #1: cost 4 inf + 0 48.443 * * [simplify]: Extracting #2: cost 6 inf + 1 48.443 * * [simplify]: Extracting #3: cost 9 inf + 1 48.443 * * [simplify]: Extracting #4: cost 8 inf + 2 48.443 * * [simplify]: Extracting #5: cost 1 inf + 810 48.443 * * [simplify]: Extracting #6: cost 0 inf + 972 48.444 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 48.444 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (* (/ 1 (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 48.444 * * * * [progress]: [ 175 / 196 ] simplifiying candidate # 48.444 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 48.444 * * [simplify]: iters left: 4 (5 enodes) 48.447 * * [simplify]: iters left: 3 (17 enodes) 48.452 * * [simplify]: iters left: 2 (19 enodes) 48.458 * * [simplify]: Extracting #0: cost 1 inf + 0 48.458 * * [simplify]: Extracting #1: cost 4 inf + 0 48.458 * * [simplify]: Extracting #2: cost 5 inf + 1 48.458 * * [simplify]: Extracting #3: cost 7 inf + 1 48.458 * * [simplify]: Extracting #4: cost 0 inf + 490 48.458 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 48.458 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 48.458 * * * * [progress]: [ 176 / 196 ] simplifiying candidate # 48.459 * [simplify]: Simplifying (/ 1 (sqrt 1)) 48.459 * * [simplify]: iters left: 3 (3 enodes) 48.465 * * [simplify]: iters left: 2 (11 enodes) 48.468 * * [simplify]: iters left: 1 (13 enodes) 48.471 * * [simplify]: Extracting #0: cost 1 inf + 0 48.471 * * [simplify]: Extracting #1: cost 0 inf + 1 48.471 * [simplify]: Simplified to 1 48.471 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 48.471 * * * * [progress]: [ 177 / 196 ] simplifiying candidate # 48.472 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 48.472 * * [simplify]: iters left: 4 (5 enodes) 48.474 * * [simplify]: iters left: 3 (17 enodes) 48.480 * * [simplify]: iters left: 2 (19 enodes) 48.486 * * [simplify]: Extracting #0: cost 1 inf + 0 48.486 * * [simplify]: Extracting #1: cost 4 inf + 0 48.486 * * [simplify]: Extracting #2: cost 5 inf + 1 48.486 * * [simplify]: Extracting #3: cost 7 inf + 1 48.486 * * [simplify]: Extracting #4: cost 0 inf + 490 48.486 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 48.486 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 48.486 * * * * [progress]: [ 178 / 196 ] simplifiying candidate # 48.487 * [simplify]: Simplifying (/ 1 1) 48.487 * * [simplify]: iters left: 2 (2 enodes) 48.488 * * [simplify]: iters left: 1 (6 enodes) 48.490 * * [simplify]: Extracting #0: cost 1 inf + 0 48.490 * * [simplify]: Extracting #1: cost 0 inf + 1 48.490 * [simplify]: Simplified to 1 48.491 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 48.491 * * * * [progress]: [ 179 / 196 ] simplifiying candidate # 48.491 * * * * [progress]: [ 180 / 196 ] simplifiying candidate # 48.491 * * * * [progress]: [ 181 / 196 ] simplifiying candidate # 48.491 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ k 2)) 48.491 * * [simplify]: iters left: 5 (8 enodes) 48.495 * * [simplify]: iters left: 4 (31 enodes) 48.505 * * [simplify]: iters left: 3 (51 enodes) 48.522 * * [simplify]: iters left: 2 (85 enodes) 48.551 * * [simplify]: iters left: 1 (152 enodes) 48.598 * * [simplify]: Extracting #0: cost 1 inf + 0 48.598 * * [simplify]: Extracting #1: cost 13 inf + 0 48.598 * * [simplify]: Extracting #2: cost 60 inf + 1 48.599 * * [simplify]: Extracting #3: cost 76 inf + 51 48.599 * * [simplify]: Extracting #4: cost 44 inf + 2846 48.600 * * [simplify]: Extracting #5: cost 21 inf + 7590 48.603 * * [simplify]: Extracting #6: cost 1 inf + 20687 48.606 * * [simplify]: Extracting #7: cost 0 inf + 20539 48.608 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 48.608 * [simplify]: Simplified (2 2) to (λ (k n) (/ (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ 1 2))) (pow (* (* n 2) PI) (/ k 2)))) 48.608 * * * * [progress]: [ 182 / 196 ] simplifiying candidate # 48.609 * [simplify]: Simplifying (* 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 48.609 * * [simplify]: iters left: 6 (11 enodes) 48.612 * * [simplify]: iters left: 5 (47 enodes) 48.625 * * [simplify]: iters left: 4 (82 enodes) 48.649 * * [simplify]: iters left: 3 (126 enodes) 48.671 * * [simplify]: iters left: 2 (214 enodes) 48.749 * * [simplify]: iters left: 1 (362 enodes) 48.869 * * [simplify]: Extracting #0: cost 1 inf + 0 48.869 * * [simplify]: Extracting #1: cost 19 inf + 0 48.870 * * [simplify]: Extracting #2: cost 84 inf + 2 48.870 * * [simplify]: Extracting #3: cost 142 inf + 8 48.874 * * [simplify]: Extracting #4: cost 153 inf + 350 48.875 * * [simplify]: Extracting #5: cost 98 inf + 5365 48.878 * * [simplify]: Extracting #6: cost 51 inf + 13465 48.885 * * [simplify]: Extracting #7: cost 7 inf + 43506 48.893 * * [simplify]: Extracting #8: cost 0 inf + 48877 48.901 * [simplify]: Simplified to (pow (* (* n PI) 2) (/ (- 1 k) 2)) 48.901 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (* (* n PI) 2) (/ (- 1 k) 2)) (sqrt k))) 48.901 * * * * [progress]: [ 183 / 196 ] simplifiying candidate #real (real->posit16 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))> 48.901 * * * * [progress]: [ 184 / 196 ] simplifiying candidate # 48.901 * * * * [progress]: [ 185 / 196 ] simplifiying candidate # 48.902 * [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))))) 48.902 * * [simplify]: iters left: 6 (37 enodes) 48.914 * * [simplify]: iters left: 5 (190 enodes) 48.973 * * [simplify]: Extracting #0: cost 1 inf + 0 48.973 * * [simplify]: Extracting #1: cost 22 inf + 0 48.974 * * [simplify]: Extracting #2: cost 108 inf + 1 48.975 * * [simplify]: Extracting #3: cost 171 inf + 46 48.976 * * [simplify]: Extracting #4: cost 189 inf + 427 48.978 * * [simplify]: Extracting #5: cost 128 inf + 16032 48.986 * * [simplify]: Extracting #6: cost 29 inf + 57153 49.001 * * [simplify]: Extracting #7: cost 4 inf + 75884 49.027 * * [simplify]: Extracting #8: cost 0 inf + 78767 49.054 * [simplify]: Simplified to (fma (* (log (* PI 2)) 1/4) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k k) (log n))) (- (fma (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k (log n)) (* k (log n)))) 1/8 (fma (* (* 1/8 (log (* PI 2))) (log (* PI 2))) (* (* k k) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (exp (* (+ (log n) (log (* PI 2))) 1/2)))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) 1/2))) 49.054 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (fma (* (log (* PI 2)) 1/4) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k k) (log n))) (- (fma (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k (log n)) (* k (log n)))) 1/8 (fma (* (* 1/8 (log (* PI 2))) (log (* PI 2))) (* (* k k) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (exp (* (+ (log n) (log (* PI 2))) 1/2)))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) 1/2))))) 49.055 * * * * [progress]: [ 186 / 196 ] simplifiying candidate # 49.055 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 49.055 * * [simplify]: iters left: 6 (15 enodes) 49.064 * * [simplify]: iters left: 5 (65 enodes) 49.084 * * [simplify]: iters left: 4 (123 enodes) 49.138 * * [simplify]: iters left: 3 (367 enodes) 49.334 * * [simplify]: Extracting #0: cost 1 inf + 0 49.334 * * [simplify]: Extracting #1: cost 37 inf + 0 49.335 * * [simplify]: Extracting #2: cost 216 inf + 72 49.338 * * [simplify]: Extracting #3: cost 356 inf + 1622 49.346 * * [simplify]: Extracting #4: cost 219 inf + 28945 49.364 * * [simplify]: Extracting #5: cost 21 inf + 83197 49.379 * * [simplify]: Extracting #6: cost 0 inf + 89881 49.412 * * [simplify]: Extracting #7: cost 0 inf + 89729 49.434 * * [simplify]: Extracting #8: cost 0 inf + 89726 49.450 * [simplify]: Simplified to (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) 49.450 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))))) 49.450 * * * * [progress]: [ 187 / 196 ] simplifiying candidate # 49.450 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 49.450 * * [simplify]: iters left: 6 (16 enodes) 49.458 * * [simplify]: iters left: 5 (67 enodes) 49.482 * * [simplify]: iters left: 4 (134 enodes) 49.519 * * [simplify]: iters left: 3 (413 enodes) 49.787 * * [simplify]: Extracting #0: cost 1 inf + 0 49.788 * * [simplify]: Extracting #1: cost 39 inf + 0 49.789 * * [simplify]: Extracting #2: cost 241 inf + 72 49.792 * * [simplify]: Extracting #3: cost 450 inf + 903 49.798 * * [simplify]: Extracting #4: cost 376 inf + 10375 49.818 * * [simplify]: Extracting #5: cost 158 inf + 67083 49.864 * * [simplify]: Extracting #6: cost 12 inf + 118840 49.909 * * [simplify]: Extracting #7: cost 0 inf + 121984 49.934 * * [simplify]: Extracting #8: cost 0 inf + 121983 49.969 * [simplify]: Simplified to (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) 49.969 * [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))))))))) 49.969 * * * * [progress]: [ 188 / 196 ] simplifiying candidate # 49.969 * [simplify]: Simplifying (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 49.969 * [simplify]: Simplified (2 1) to (λ (k n) (* +nan.0 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 49.969 * * * * [progress]: [ 189 / 196 ] simplifiying candidate # 49.969 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 49.969 * [simplify]: Simplified (2 1) to (λ (k n) (* +nan.0 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 49.969 * * * * [progress]: [ 190 / 196 ] simplifiying candidate # 49.970 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 49.970 * [simplify]: Simplified (2 1) to (λ (k n) (* +nan.0 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 49.970 * * * * [progress]: [ 191 / 196 ] simplifiying candidate # 49.970 * [simplify]: Simplifying (* 2 (* n PI)) 49.970 * * [simplify]: iters left: 4 (5 enodes) 49.972 * * [simplify]: iters left: 3 (19 enodes) 49.975 * * [simplify]: iters left: 2 (27 enodes) 49.979 * * [simplify]: iters left: 1 (32 enodes) 49.983 * * [simplify]: Extracting #0: cost 1 inf + 0 49.983 * * [simplify]: Extracting #1: cost 8 inf + 0 49.983 * * [simplify]: Extracting #2: cost 7 inf + 45 49.983 * * [simplify]: Extracting #3: cost 0 inf + 421 49.983 * [simplify]: Simplified to (* (* PI n) 2) 49.983 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))) 49.983 * * * * [progress]: [ 192 / 196 ] simplifiying candidate # 49.983 * [simplify]: Simplifying (* 2 (* n PI)) 49.983 * * [simplify]: iters left: 4 (5 enodes) 49.986 * * [simplify]: iters left: 3 (19 enodes) 49.992 * * [simplify]: iters left: 2 (27 enodes) 49.996 * * [simplify]: iters left: 1 (32 enodes) 50.000 * * [simplify]: Extracting #0: cost 1 inf + 0 50.000 * * [simplify]: Extracting #1: cost 8 inf + 0 50.000 * * [simplify]: Extracting #2: cost 7 inf + 45 50.000 * * [simplify]: Extracting #3: cost 0 inf + 421 50.000 * [simplify]: Simplified to (* (* PI n) 2) 50.001 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))) 50.001 * * * * [progress]: [ 193 / 196 ] simplifiying candidate # 50.001 * [simplify]: Simplifying (* 2 (* n PI)) 50.001 * * [simplify]: iters left: 4 (5 enodes) 50.002 * * [simplify]: iters left: 3 (19 enodes) 50.005 * * [simplify]: iters left: 2 (27 enodes) 50.009 * * [simplify]: iters left: 1 (32 enodes) 50.013 * * [simplify]: Extracting #0: cost 1 inf + 0 50.013 * * [simplify]: Extracting #1: cost 8 inf + 0 50.013 * * [simplify]: Extracting #2: cost 7 inf + 45 50.013 * * [simplify]: Extracting #3: cost 0 inf + 421 50.014 * [simplify]: Simplified to (* (* PI n) 2) 50.014 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))) 50.014 * * * * [progress]: [ 194 / 196 ] simplifiying candidate # 50.014 * [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))))))))))))) 50.014 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 50.014 * * * * [progress]: [ 195 / 196 ] simplifiying candidate # 50.014 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3)))))))) 50.014 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 50.015 * * * * [progress]: [ 196 / 196 ] simplifiying candidate # 50.015 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))))))) 50.015 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 50.015 * * * [progress]: adding candidates to table 52.228 * * [progress]: iteration 3 / 4 52.228 * * * [progress]: picking best candidate 52.289 * * * * [pick]: Picked # 52.289 * * * [progress]: localizing error 52.343 * * * [progress]: generating rewritten candidates 52.343 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 52.377 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 52.406 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 52.461 * * * [progress]: generating series expansions 52.462 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 52.463 * [backup-simplify]: Simplify (pow (* (* 2 PI) n) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) 52.463 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0 52.463 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 52.463 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 52.463 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 52.463 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 52.463 * [taylor]: Taking taylor expansion of 1/2 in k 52.463 * [backup-simplify]: Simplify 1/2 into 1/2 52.463 * [taylor]: Taking taylor expansion of (- 1 k) in k 52.463 * [taylor]: Taking taylor expansion of 1 in k 52.463 * [backup-simplify]: Simplify 1 into 1 52.463 * [taylor]: Taking taylor expansion of k in k 52.463 * [backup-simplify]: Simplify 0 into 0 52.463 * [backup-simplify]: Simplify 1 into 1 52.463 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 52.463 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 52.463 * [taylor]: Taking taylor expansion of 2 in k 52.463 * [backup-simplify]: Simplify 2 into 2 52.463 * [taylor]: Taking taylor expansion of (* n PI) in k 52.463 * [taylor]: Taking taylor expansion of n in k 52.463 * [backup-simplify]: Simplify n into n 52.463 * [taylor]: Taking taylor expansion of PI in k 52.463 * [backup-simplify]: Simplify PI into PI 52.463 * [backup-simplify]: Simplify (* n PI) into (* n PI) 52.463 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 52.463 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 52.464 * [backup-simplify]: Simplify (- 0) into 0 52.464 * [backup-simplify]: Simplify (+ 1 0) into 1 52.464 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 52.464 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 52.465 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 52.465 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 52.465 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 52.465 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 52.465 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 52.465 * [taylor]: Taking taylor expansion of 1/2 in n 52.465 * [backup-simplify]: Simplify 1/2 into 1/2 52.465 * [taylor]: Taking taylor expansion of (- 1 k) in n 52.465 * [taylor]: Taking taylor expansion of 1 in n 52.465 * [backup-simplify]: Simplify 1 into 1 52.465 * [taylor]: Taking taylor expansion of k in n 52.465 * [backup-simplify]: Simplify k into k 52.465 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 52.465 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 52.465 * [taylor]: Taking taylor expansion of 2 in n 52.465 * [backup-simplify]: Simplify 2 into 2 52.465 * [taylor]: Taking taylor expansion of (* n PI) in n 52.465 * [taylor]: Taking taylor expansion of n in n 52.465 * [backup-simplify]: Simplify 0 into 0 52.465 * [backup-simplify]: Simplify 1 into 1 52.465 * [taylor]: Taking taylor expansion of PI in n 52.465 * [backup-simplify]: Simplify PI into PI 52.465 * [backup-simplify]: Simplify (* 0 PI) into 0 52.465 * [backup-simplify]: Simplify (* 2 0) into 0 52.466 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 52.467 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 52.468 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 52.468 * [backup-simplify]: Simplify (- k) into (- k) 52.468 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 52.468 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 52.469 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 52.470 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 52.470 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 52.470 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 52.470 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 52.470 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 52.470 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 52.470 * [taylor]: Taking taylor expansion of 1/2 in n 52.470 * [backup-simplify]: Simplify 1/2 into 1/2 52.470 * [taylor]: Taking taylor expansion of (- 1 k) in n 52.470 * [taylor]: Taking taylor expansion of 1 in n 52.470 * [backup-simplify]: Simplify 1 into 1 52.470 * [taylor]: Taking taylor expansion of k in n 52.470 * [backup-simplify]: Simplify k into k 52.470 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 52.470 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 52.470 * [taylor]: Taking taylor expansion of 2 in n 52.470 * [backup-simplify]: Simplify 2 into 2 52.471 * [taylor]: Taking taylor expansion of (* n PI) in n 52.471 * [taylor]: Taking taylor expansion of n in n 52.471 * [backup-simplify]: Simplify 0 into 0 52.471 * [backup-simplify]: Simplify 1 into 1 52.471 * [taylor]: Taking taylor expansion of PI in n 52.471 * [backup-simplify]: Simplify PI into PI 52.471 * [backup-simplify]: Simplify (* 0 PI) into 0 52.471 * [backup-simplify]: Simplify (* 2 0) into 0 52.472 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 52.473 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 52.474 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 52.474 * [backup-simplify]: Simplify (- k) into (- k) 52.474 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 52.474 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 52.475 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 52.475 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 52.476 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 52.476 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 52.476 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 52.476 * [taylor]: Taking taylor expansion of 1/2 in k 52.476 * [backup-simplify]: Simplify 1/2 into 1/2 52.476 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 52.476 * [taylor]: Taking taylor expansion of (- 1 k) in k 52.476 * [taylor]: Taking taylor expansion of 1 in k 52.476 * [backup-simplify]: Simplify 1 into 1 52.476 * [taylor]: Taking taylor expansion of k in k 52.476 * [backup-simplify]: Simplify 0 into 0 52.476 * [backup-simplify]: Simplify 1 into 1 52.476 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 52.476 * [taylor]: Taking taylor expansion of (log n) in k 52.476 * [taylor]: Taking taylor expansion of n in k 52.476 * [backup-simplify]: Simplify n into n 52.476 * [backup-simplify]: Simplify (log n) into (log n) 52.476 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 52.476 * [taylor]: Taking taylor expansion of (* 2 PI) in k 52.476 * [taylor]: Taking taylor expansion of 2 in k 52.476 * [backup-simplify]: Simplify 2 into 2 52.476 * [taylor]: Taking taylor expansion of PI in k 52.476 * [backup-simplify]: Simplify PI into PI 52.477 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 52.477 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 52.477 * [backup-simplify]: Simplify (- 0) into 0 52.478 * [backup-simplify]: Simplify (+ 1 0) into 1 52.478 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 52.479 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 52.479 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 52.480 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 52.481 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 52.481 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 52.482 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 52.483 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 52.484 * [backup-simplify]: Simplify (- 0) into 0 52.484 * [backup-simplify]: Simplify (+ 0 0) into 0 52.484 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 52.485 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 52.486 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 52.487 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 52.487 * [taylor]: Taking taylor expansion of 0 in k 52.487 * [backup-simplify]: Simplify 0 into 0 52.487 * [backup-simplify]: Simplify 0 into 0 52.487 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 52.488 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 52.489 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 52.489 * [backup-simplify]: Simplify (+ 0 0) into 0 52.489 * [backup-simplify]: Simplify (- 1) into -1 52.490 * [backup-simplify]: Simplify (+ 0 -1) into -1 52.491 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 52.492 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 52.494 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 52.496 * [backup-simplify]: Simplify (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 52.496 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 52.497 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 52.499 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 52.499 * [backup-simplify]: Simplify (- 0) into 0 52.500 * [backup-simplify]: Simplify (+ 0 0) into 0 52.501 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 52.502 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 52.504 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 52.506 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 52.506 * [taylor]: Taking taylor expansion of 0 in k 52.506 * [backup-simplify]: Simplify 0 into 0 52.506 * [backup-simplify]: Simplify 0 into 0 52.506 * [backup-simplify]: Simplify 0 into 0 52.508 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 52.509 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 52.513 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 52.513 * [backup-simplify]: Simplify (+ 0 0) into 0 52.514 * [backup-simplify]: Simplify (- 0) into 0 52.514 * [backup-simplify]: Simplify (+ 0 0) into 0 52.516 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 52.519 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 52.522 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) 52.527 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) 52.539 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (* k 1)) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))))) 52.540 * [backup-simplify]: Simplify (pow (* (* 2 PI) (/ 1 n)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) 52.540 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 52.541 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 52.541 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 52.541 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 52.541 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 52.541 * [taylor]: Taking taylor expansion of 1/2 in k 52.541 * [backup-simplify]: Simplify 1/2 into 1/2 52.541 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 52.541 * [taylor]: Taking taylor expansion of 1 in k 52.541 * [backup-simplify]: Simplify 1 into 1 52.541 * [taylor]: Taking taylor expansion of (/ 1 k) in k 52.541 * [taylor]: Taking taylor expansion of k in k 52.541 * [backup-simplify]: Simplify 0 into 0 52.541 * [backup-simplify]: Simplify 1 into 1 52.542 * [backup-simplify]: Simplify (/ 1 1) into 1 52.542 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 52.542 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 52.542 * [taylor]: Taking taylor expansion of 2 in k 52.542 * [backup-simplify]: Simplify 2 into 2 52.542 * [taylor]: Taking taylor expansion of (/ PI n) in k 52.542 * [taylor]: Taking taylor expansion of PI in k 52.542 * [backup-simplify]: Simplify PI into PI 52.542 * [taylor]: Taking taylor expansion of n in k 52.542 * [backup-simplify]: Simplify n into n 52.542 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 52.542 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 52.542 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 52.543 * [backup-simplify]: Simplify (- 1) into -1 52.543 * [backup-simplify]: Simplify (+ 0 -1) into -1 52.544 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 52.544 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 52.544 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 52.544 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 52.544 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 52.544 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 52.544 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 52.544 * [taylor]: Taking taylor expansion of 1/2 in n 52.544 * [backup-simplify]: Simplify 1/2 into 1/2 52.544 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 52.544 * [taylor]: Taking taylor expansion of 1 in n 52.544 * [backup-simplify]: Simplify 1 into 1 52.544 * [taylor]: Taking taylor expansion of (/ 1 k) in n 52.544 * [taylor]: Taking taylor expansion of k in n 52.544 * [backup-simplify]: Simplify k into k 52.544 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 52.544 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 52.544 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 52.544 * [taylor]: Taking taylor expansion of 2 in n 52.544 * [backup-simplify]: Simplify 2 into 2 52.545 * [taylor]: Taking taylor expansion of (/ PI n) in n 52.545 * [taylor]: Taking taylor expansion of PI in n 52.545 * [backup-simplify]: Simplify PI into PI 52.545 * [taylor]: Taking taylor expansion of n in n 52.545 * [backup-simplify]: Simplify 0 into 0 52.545 * [backup-simplify]: Simplify 1 into 1 52.546 * [backup-simplify]: Simplify (/ PI 1) into PI 52.546 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 52.547 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 52.547 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 52.547 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 52.547 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 52.549 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 52.550 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 52.551 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 52.551 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 52.551 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 52.551 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 52.551 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 52.551 * [taylor]: Taking taylor expansion of 1/2 in n 52.551 * [backup-simplify]: Simplify 1/2 into 1/2 52.551 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 52.551 * [taylor]: Taking taylor expansion of 1 in n 52.551 * [backup-simplify]: Simplify 1 into 1 52.551 * [taylor]: Taking taylor expansion of (/ 1 k) in n 52.551 * [taylor]: Taking taylor expansion of k in n 52.551 * [backup-simplify]: Simplify k into k 52.551 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 52.551 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 52.551 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 52.551 * [taylor]: Taking taylor expansion of 2 in n 52.551 * [backup-simplify]: Simplify 2 into 2 52.551 * [taylor]: Taking taylor expansion of (/ PI n) in n 52.551 * [taylor]: Taking taylor expansion of PI in n 52.551 * [backup-simplify]: Simplify PI into PI 52.551 * [taylor]: Taking taylor expansion of n in n 52.551 * [backup-simplify]: Simplify 0 into 0 52.551 * [backup-simplify]: Simplify 1 into 1 52.552 * [backup-simplify]: Simplify (/ PI 1) into PI 52.552 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 52.553 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 52.553 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 52.554 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 52.554 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 52.555 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 52.556 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 52.557 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 52.557 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 52.557 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 52.557 * [taylor]: Taking taylor expansion of 1/2 in k 52.557 * [backup-simplify]: Simplify 1/2 into 1/2 52.558 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 52.558 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 52.558 * [taylor]: Taking taylor expansion of 1 in k 52.558 * [backup-simplify]: Simplify 1 into 1 52.558 * [taylor]: Taking taylor expansion of (/ 1 k) in k 52.558 * [taylor]: Taking taylor expansion of k in k 52.558 * [backup-simplify]: Simplify 0 into 0 52.558 * [backup-simplify]: Simplify 1 into 1 52.558 * [backup-simplify]: Simplify (/ 1 1) into 1 52.558 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 52.558 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 52.558 * [taylor]: Taking taylor expansion of (* 2 PI) in k 52.558 * [taylor]: Taking taylor expansion of 2 in k 52.558 * [backup-simplify]: Simplify 2 into 2 52.558 * [taylor]: Taking taylor expansion of PI in k 52.558 * [backup-simplify]: Simplify PI into PI 52.559 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 52.560 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 52.560 * [taylor]: Taking taylor expansion of (log n) in k 52.560 * [taylor]: Taking taylor expansion of n in k 52.560 * [backup-simplify]: Simplify n into n 52.560 * [backup-simplify]: Simplify (log n) into (log n) 52.560 * [backup-simplify]: Simplify (- 1) into -1 52.561 * [backup-simplify]: Simplify (+ 0 -1) into -1 52.561 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 52.562 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 52.563 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 52.564 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 52.565 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 52.566 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 52.567 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 52.568 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 52.569 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 52.570 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 52.570 * [backup-simplify]: Simplify (- 0) into 0 52.570 * [backup-simplify]: Simplify (+ 0 0) into 0 52.571 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 52.572 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 52.573 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 52.575 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 52.575 * [taylor]: Taking taylor expansion of 0 in k 52.575 * [backup-simplify]: Simplify 0 into 0 52.575 * [backup-simplify]: Simplify 0 into 0 52.575 * [backup-simplify]: Simplify 0 into 0 52.576 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 52.577 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 52.581 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 52.581 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 52.581 * [backup-simplify]: Simplify (- 0) into 0 52.582 * [backup-simplify]: Simplify (+ 0 0) into 0 52.583 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 52.584 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 52.586 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 52.589 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 52.589 * [taylor]: Taking taylor expansion of 0 in k 52.589 * [backup-simplify]: Simplify 0 into 0 52.589 * [backup-simplify]: Simplify 0 into 0 52.589 * [backup-simplify]: Simplify 0 into 0 52.589 * [backup-simplify]: Simplify 0 into 0 52.590 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 52.591 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 52.598 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 52.598 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 52.598 * [backup-simplify]: Simplify (- 0) into 0 52.599 * [backup-simplify]: Simplify (+ 0 0) into 0 52.600 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 52.601 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 52.603 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 52.606 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 52.606 * [taylor]: Taking taylor expansion of 0 in k 52.606 * [backup-simplify]: Simplify 0 into 0 52.606 * [backup-simplify]: Simplify 0 into 0 52.607 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 52.608 * [backup-simplify]: Simplify (pow (* (* 2 PI) (/ 1 (- n))) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) 52.608 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 52.608 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 52.608 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 52.608 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 52.608 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 52.608 * [taylor]: Taking taylor expansion of 1/2 in k 52.608 * [backup-simplify]: Simplify 1/2 into 1/2 52.608 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 52.608 * [taylor]: Taking taylor expansion of (/ 1 k) in k 52.608 * [taylor]: Taking taylor expansion of k in k 52.608 * [backup-simplify]: Simplify 0 into 0 52.608 * [backup-simplify]: Simplify 1 into 1 52.609 * [backup-simplify]: Simplify (/ 1 1) into 1 52.609 * [taylor]: Taking taylor expansion of 1 in k 52.609 * [backup-simplify]: Simplify 1 into 1 52.609 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 52.609 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 52.609 * [taylor]: Taking taylor expansion of -2 in k 52.609 * [backup-simplify]: Simplify -2 into -2 52.609 * [taylor]: Taking taylor expansion of (/ PI n) in k 52.609 * [taylor]: Taking taylor expansion of PI in k 52.609 * [backup-simplify]: Simplify PI into PI 52.609 * [taylor]: Taking taylor expansion of n in k 52.609 * [backup-simplify]: Simplify n into n 52.609 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 52.609 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 52.609 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 52.609 * [backup-simplify]: Simplify (+ 1 0) into 1 52.610 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 52.610 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 52.610 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 52.610 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 52.610 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 52.610 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 52.610 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 52.610 * [taylor]: Taking taylor expansion of 1/2 in n 52.610 * [backup-simplify]: Simplify 1/2 into 1/2 52.610 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 52.610 * [taylor]: Taking taylor expansion of (/ 1 k) in n 52.610 * [taylor]: Taking taylor expansion of k in n 52.610 * [backup-simplify]: Simplify k into k 52.610 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 52.611 * [taylor]: Taking taylor expansion of 1 in n 52.611 * [backup-simplify]: Simplify 1 into 1 52.611 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 52.611 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 52.611 * [taylor]: Taking taylor expansion of -2 in n 52.611 * [backup-simplify]: Simplify -2 into -2 52.611 * [taylor]: Taking taylor expansion of (/ PI n) in n 52.611 * [taylor]: Taking taylor expansion of PI in n 52.611 * [backup-simplify]: Simplify PI into PI 52.611 * [taylor]: Taking taylor expansion of n in n 52.611 * [backup-simplify]: Simplify 0 into 0 52.611 * [backup-simplify]: Simplify 1 into 1 52.611 * [backup-simplify]: Simplify (/ PI 1) into PI 52.612 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 52.612 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 52.612 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 52.613 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 52.613 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 52.614 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 52.615 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 52.615 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 52.615 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 52.615 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 52.615 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 52.615 * [taylor]: Taking taylor expansion of 1/2 in n 52.615 * [backup-simplify]: Simplify 1/2 into 1/2 52.615 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 52.615 * [taylor]: Taking taylor expansion of (/ 1 k) in n 52.615 * [taylor]: Taking taylor expansion of k in n 52.615 * [backup-simplify]: Simplify k into k 52.615 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 52.615 * [taylor]: Taking taylor expansion of 1 in n 52.615 * [backup-simplify]: Simplify 1 into 1 52.615 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 52.615 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 52.615 * [taylor]: Taking taylor expansion of -2 in n 52.615 * [backup-simplify]: Simplify -2 into -2 52.615 * [taylor]: Taking taylor expansion of (/ PI n) in n 52.615 * [taylor]: Taking taylor expansion of PI in n 52.615 * [backup-simplify]: Simplify PI into PI 52.615 * [taylor]: Taking taylor expansion of n in n 52.615 * [backup-simplify]: Simplify 0 into 0 52.615 * [backup-simplify]: Simplify 1 into 1 52.615 * [backup-simplify]: Simplify (/ PI 1) into PI 52.616 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 52.616 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 52.616 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 52.616 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 52.617 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 52.618 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 52.619 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 52.619 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 52.619 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 52.619 * [taylor]: Taking taylor expansion of 1/2 in k 52.619 * [backup-simplify]: Simplify 1/2 into 1/2 52.619 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 52.619 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 52.619 * [taylor]: Taking taylor expansion of (/ 1 k) in k 52.619 * [taylor]: Taking taylor expansion of k in k 52.619 * [backup-simplify]: Simplify 0 into 0 52.619 * [backup-simplify]: Simplify 1 into 1 52.619 * [backup-simplify]: Simplify (/ 1 1) into 1 52.619 * [taylor]: Taking taylor expansion of 1 in k 52.619 * [backup-simplify]: Simplify 1 into 1 52.619 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 52.619 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 52.619 * [taylor]: Taking taylor expansion of (* -2 PI) in k 52.619 * [taylor]: Taking taylor expansion of -2 in k 52.619 * [backup-simplify]: Simplify -2 into -2 52.619 * [taylor]: Taking taylor expansion of PI in k 52.619 * [backup-simplify]: Simplify PI into PI 52.620 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 52.620 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 52.620 * [taylor]: Taking taylor expansion of (log n) in k 52.620 * [taylor]: Taking taylor expansion of n in k 52.620 * [backup-simplify]: Simplify n into n 52.620 * [backup-simplify]: Simplify (log n) into (log n) 52.621 * [backup-simplify]: Simplify (+ 1 0) into 1 52.621 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 52.621 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 52.622 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 52.622 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 52.623 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 52.624 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 52.624 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 52.625 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 52.626 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 52.626 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 52.626 * [backup-simplify]: Simplify (+ 0 0) into 0 52.627 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 52.627 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 52.628 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 52.629 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 52.629 * [taylor]: Taking taylor expansion of 0 in k 52.629 * [backup-simplify]: Simplify 0 into 0 52.629 * [backup-simplify]: Simplify 0 into 0 52.629 * [backup-simplify]: Simplify 0 into 0 52.630 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 52.630 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 52.632 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0 52.633 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 52.633 * [backup-simplify]: Simplify (+ 0 0) into 0 52.633 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 52.634 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 52.635 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 52.637 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 52.637 * [taylor]: Taking taylor expansion of 0 in k 52.637 * [backup-simplify]: Simplify 0 into 0 52.637 * [backup-simplify]: Simplify 0 into 0 52.637 * [backup-simplify]: Simplify 0 into 0 52.637 * [backup-simplify]: Simplify 0 into 0 52.638 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 52.638 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 52.643 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 PI) 1)))) 6) into 0 52.644 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 52.644 * [backup-simplify]: Simplify (+ 0 0) into 0 52.645 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 52.647 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 52.648 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 52.651 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 52.651 * [taylor]: Taking taylor expansion of 0 in k 52.651 * [backup-simplify]: Simplify 0 into 0 52.651 * [backup-simplify]: Simplify 0 into 0 52.653 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 52.653 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 52.653 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 52.653 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 52.653 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 52.653 * [taylor]: Taking taylor expansion of 2 in n 52.653 * [backup-simplify]: Simplify 2 into 2 52.653 * [taylor]: Taking taylor expansion of (* n PI) in n 52.653 * [taylor]: Taking taylor expansion of n in n 52.653 * [backup-simplify]: Simplify 0 into 0 52.653 * [backup-simplify]: Simplify 1 into 1 52.653 * [taylor]: Taking taylor expansion of PI in n 52.653 * [backup-simplify]: Simplify PI into PI 52.653 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 52.653 * [taylor]: Taking taylor expansion of 2 in n 52.653 * [backup-simplify]: Simplify 2 into 2 52.653 * [taylor]: Taking taylor expansion of (* n PI) in n 52.653 * [taylor]: Taking taylor expansion of n in n 52.654 * [backup-simplify]: Simplify 0 into 0 52.654 * [backup-simplify]: Simplify 1 into 1 52.654 * [taylor]: Taking taylor expansion of PI in n 52.654 * [backup-simplify]: Simplify PI into PI 52.654 * [backup-simplify]: Simplify (* 0 PI) into 0 52.654 * [backup-simplify]: Simplify (* 2 0) into 0 52.655 * [backup-simplify]: Simplify 0 into 0 52.658 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 52.660 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 52.660 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 52.660 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 52.661 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 52.661 * [backup-simplify]: Simplify 0 into 0 52.662 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 52.662 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 52.662 * [backup-simplify]: Simplify 0 into 0 52.663 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 52.664 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 52.664 * [backup-simplify]: Simplify 0 into 0 52.665 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 52.666 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 52.666 * [backup-simplify]: Simplify 0 into 0 52.667 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 52.668 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 52.668 * [backup-simplify]: Simplify 0 into 0 52.669 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 52.670 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 52.670 * [backup-simplify]: Simplify 0 into 0 52.670 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 52.670 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 n)) into (* 2 (/ PI n)) 52.670 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 52.670 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 52.670 * [taylor]: Taking taylor expansion of 2 in n 52.670 * [backup-simplify]: Simplify 2 into 2 52.670 * [taylor]: Taking taylor expansion of (/ PI n) in n 52.670 * [taylor]: Taking taylor expansion of PI in n 52.670 * [backup-simplify]: Simplify PI into PI 52.670 * [taylor]: Taking taylor expansion of n in n 52.670 * [backup-simplify]: Simplify 0 into 0 52.671 * [backup-simplify]: Simplify 1 into 1 52.671 * [backup-simplify]: Simplify (/ PI 1) into PI 52.671 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 52.671 * [taylor]: Taking taylor expansion of 2 in n 52.671 * [backup-simplify]: Simplify 2 into 2 52.671 * [taylor]: Taking taylor expansion of (/ PI n) in n 52.671 * [taylor]: Taking taylor expansion of PI in n 52.671 * [backup-simplify]: Simplify PI into PI 52.671 * [taylor]: Taking taylor expansion of n in n 52.671 * [backup-simplify]: Simplify 0 into 0 52.671 * [backup-simplify]: Simplify 1 into 1 52.671 * [backup-simplify]: Simplify (/ PI 1) into PI 52.672 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 52.672 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 52.672 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 52.673 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 52.673 * [backup-simplify]: Simplify 0 into 0 52.673 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 52.674 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 52.674 * [backup-simplify]: Simplify 0 into 0 52.675 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 52.675 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 52.675 * [backup-simplify]: Simplify 0 into 0 52.676 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 52.677 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 52.677 * [backup-simplify]: Simplify 0 into 0 52.677 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 52.678 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 52.678 * [backup-simplify]: Simplify 0 into 0 52.679 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 52.680 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 52.680 * [backup-simplify]: Simplify 0 into 0 52.680 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 52.681 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (- n))) into (* -2 (/ PI n)) 52.681 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 52.681 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 52.681 * [taylor]: Taking taylor expansion of -2 in n 52.681 * [backup-simplify]: Simplify -2 into -2 52.681 * [taylor]: Taking taylor expansion of (/ PI n) in n 52.681 * [taylor]: Taking taylor expansion of PI in n 52.681 * [backup-simplify]: Simplify PI into PI 52.681 * [taylor]: Taking taylor expansion of n in n 52.681 * [backup-simplify]: Simplify 0 into 0 52.681 * [backup-simplify]: Simplify 1 into 1 52.681 * [backup-simplify]: Simplify (/ PI 1) into PI 52.681 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 52.681 * [taylor]: Taking taylor expansion of -2 in n 52.681 * [backup-simplify]: Simplify -2 into -2 52.681 * [taylor]: Taking taylor expansion of (/ PI n) in n 52.681 * [taylor]: Taking taylor expansion of PI in n 52.681 * [backup-simplify]: Simplify PI into PI 52.681 * [taylor]: Taking taylor expansion of n in n 52.681 * [backup-simplify]: Simplify 0 into 0 52.681 * [backup-simplify]: Simplify 1 into 1 52.681 * [backup-simplify]: Simplify (/ PI 1) into PI 52.682 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 52.682 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 52.683 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 52.683 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 52.683 * [backup-simplify]: Simplify 0 into 0 52.684 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 52.684 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 52.684 * [backup-simplify]: Simplify 0 into 0 52.685 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 52.685 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 52.685 * [backup-simplify]: Simplify 0 into 0 52.686 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 52.687 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 52.687 * [backup-simplify]: Simplify 0 into 0 52.688 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 52.688 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 52.688 * [backup-simplify]: Simplify 0 into 0 52.689 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 52.690 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 52.690 * [backup-simplify]: Simplify 0 into 0 52.690 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 52.690 * * * * [progress]: [ 3 / 3 ] generating series at (2) 52.691 * [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))) 52.691 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (k n) around 0 52.691 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 52.691 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 52.691 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 52.691 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 52.691 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 52.691 * [taylor]: Taking taylor expansion of 1/2 in n 52.691 * [backup-simplify]: Simplify 1/2 into 1/2 52.691 * [taylor]: Taking taylor expansion of (- 1 k) in n 52.691 * [taylor]: Taking taylor expansion of 1 in n 52.691 * [backup-simplify]: Simplify 1 into 1 52.691 * [taylor]: Taking taylor expansion of k in n 52.691 * [backup-simplify]: Simplify k into k 52.691 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 52.691 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 52.691 * [taylor]: Taking taylor expansion of 2 in n 52.691 * [backup-simplify]: Simplify 2 into 2 52.691 * [taylor]: Taking taylor expansion of (* n PI) in n 52.691 * [taylor]: Taking taylor expansion of n in n 52.691 * [backup-simplify]: Simplify 0 into 0 52.691 * [backup-simplify]: Simplify 1 into 1 52.691 * [taylor]: Taking taylor expansion of PI in n 52.691 * [backup-simplify]: Simplify PI into PI 52.692 * [backup-simplify]: Simplify (* 0 PI) into 0 52.692 * [backup-simplify]: Simplify (* 2 0) into 0 52.694 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 52.695 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 52.696 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 52.696 * [backup-simplify]: Simplify (- k) into (- k) 52.696 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 52.696 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 52.697 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 52.699 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 52.700 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 52.700 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 52.700 * [taylor]: Taking taylor expansion of (/ 1 k) in n 52.700 * [taylor]: Taking taylor expansion of k in n 52.700 * [backup-simplify]: Simplify k into k 52.700 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 52.700 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 52.700 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 52.700 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 52.700 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 52.700 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 52.700 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 52.700 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 52.700 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 52.700 * [taylor]: Taking taylor expansion of 1/2 in k 52.700 * [backup-simplify]: Simplify 1/2 into 1/2 52.700 * [taylor]: Taking taylor expansion of (- 1 k) in k 52.700 * [taylor]: Taking taylor expansion of 1 in k 52.700 * [backup-simplify]: Simplify 1 into 1 52.700 * [taylor]: Taking taylor expansion of k in k 52.700 * [backup-simplify]: Simplify 0 into 0 52.700 * [backup-simplify]: Simplify 1 into 1 52.700 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 52.700 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 52.700 * [taylor]: Taking taylor expansion of 2 in k 52.700 * [backup-simplify]: Simplify 2 into 2 52.700 * [taylor]: Taking taylor expansion of (* n PI) in k 52.700 * [taylor]: Taking taylor expansion of n in k 52.700 * [backup-simplify]: Simplify n into n 52.700 * [taylor]: Taking taylor expansion of PI in k 52.700 * [backup-simplify]: Simplify PI into PI 52.700 * [backup-simplify]: Simplify (* n PI) into (* n PI) 52.700 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 52.700 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 52.701 * [backup-simplify]: Simplify (- 0) into 0 52.701 * [backup-simplify]: Simplify (+ 1 0) into 1 52.701 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 52.701 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 52.701 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 52.701 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 52.701 * [taylor]: Taking taylor expansion of (/ 1 k) in k 52.701 * [taylor]: Taking taylor expansion of k in k 52.701 * [backup-simplify]: Simplify 0 into 0 52.701 * [backup-simplify]: Simplify 1 into 1 52.702 * [backup-simplify]: Simplify (/ 1 1) into 1 52.702 * [backup-simplify]: Simplify (sqrt 0) into 0 52.704 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 52.704 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 52.704 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 52.704 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 52.704 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 52.704 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 52.704 * [taylor]: Taking taylor expansion of 1/2 in k 52.704 * [backup-simplify]: Simplify 1/2 into 1/2 52.704 * [taylor]: Taking taylor expansion of (- 1 k) in k 52.704 * [taylor]: Taking taylor expansion of 1 in k 52.704 * [backup-simplify]: Simplify 1 into 1 52.704 * [taylor]: Taking taylor expansion of k in k 52.704 * [backup-simplify]: Simplify 0 into 0 52.704 * [backup-simplify]: Simplify 1 into 1 52.704 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 52.704 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 52.704 * [taylor]: Taking taylor expansion of 2 in k 52.704 * [backup-simplify]: Simplify 2 into 2 52.704 * [taylor]: Taking taylor expansion of (* n PI) in k 52.704 * [taylor]: Taking taylor expansion of n in k 52.704 * [backup-simplify]: Simplify n into n 52.704 * [taylor]: Taking taylor expansion of PI in k 52.704 * [backup-simplify]: Simplify PI into PI 52.704 * [backup-simplify]: Simplify (* n PI) into (* n PI) 52.704 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 52.704 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 52.704 * [backup-simplify]: Simplify (- 0) into 0 52.705 * [backup-simplify]: Simplify (+ 1 0) into 1 52.705 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 52.705 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 52.705 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 52.705 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 52.705 * [taylor]: Taking taylor expansion of (/ 1 k) in k 52.705 * [taylor]: Taking taylor expansion of k in k 52.705 * [backup-simplify]: Simplify 0 into 0 52.705 * [backup-simplify]: Simplify 1 into 1 52.705 * [backup-simplify]: Simplify (/ 1 1) into 1 52.706 * [backup-simplify]: Simplify (sqrt 0) into 0 52.707 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 52.707 * [backup-simplify]: Simplify (* (pow (* 2 (* n PI)) 1/2) 0) into 0 52.707 * [taylor]: Taking taylor expansion of 0 in n 52.707 * [backup-simplify]: Simplify 0 into 0 52.707 * [backup-simplify]: Simplify 0 into 0 52.707 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 52.707 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 52.708 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 52.708 * [backup-simplify]: Simplify (- 1) into -1 52.708 * [backup-simplify]: Simplify (+ 0 -1) into -1 52.709 * [backup-simplify]: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2 52.709 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 52.709 * [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))))) 52.710 * [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))))) 52.710 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 52.710 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 52.710 * [taylor]: Taking taylor expansion of +nan.0 in n 52.710 * [backup-simplify]: Simplify +nan.0 into +nan.0 52.710 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 52.710 * [taylor]: Taking taylor expansion of (sqrt 2) in n 52.710 * [taylor]: Taking taylor expansion of 2 in n 52.710 * [backup-simplify]: Simplify 2 into 2 52.710 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 52.710 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 52.710 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 52.710 * [taylor]: Taking taylor expansion of (* n PI) in n 52.710 * [taylor]: Taking taylor expansion of n in n 52.710 * [backup-simplify]: Simplify 0 into 0 52.710 * [backup-simplify]: Simplify 1 into 1 52.710 * [taylor]: Taking taylor expansion of PI in n 52.711 * [backup-simplify]: Simplify PI into PI 52.711 * [backup-simplify]: Simplify (* 0 PI) into 0 52.712 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 52.712 * [backup-simplify]: Simplify (sqrt 0) into 0 52.713 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 52.713 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 52.713 * [backup-simplify]: Simplify (* +nan.0 0) into 0 52.714 * [backup-simplify]: Simplify (- 0) into 0 52.714 * [backup-simplify]: Simplify 0 into 0 52.714 * [backup-simplify]: Simplify 0 into 0 52.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 52.716 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 52.716 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 52.717 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 52.718 * [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 52.718 * [backup-simplify]: Simplify (- 0) into 0 52.718 * [backup-simplify]: Simplify (+ 0 0) into 0 52.719 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0 52.720 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 52.720 * [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))) 52.721 * [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))))))) 52.721 * [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 52.721 * [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 52.721 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 52.721 * [taylor]: Taking taylor expansion of +nan.0 in n 52.721 * [backup-simplify]: Simplify +nan.0 into +nan.0 52.721 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 52.721 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 52.721 * [taylor]: Taking taylor expansion of (sqrt 2) in n 52.721 * [taylor]: Taking taylor expansion of 2 in n 52.721 * [backup-simplify]: Simplify 2 into 2 52.721 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 52.722 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 52.722 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 52.722 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 52.722 * [taylor]: Taking taylor expansion of 2 in n 52.722 * [backup-simplify]: Simplify 2 into 2 52.722 * [taylor]: Taking taylor expansion of (* n PI) in n 52.722 * [taylor]: Taking taylor expansion of n in n 52.722 * [backup-simplify]: Simplify 0 into 0 52.722 * [backup-simplify]: Simplify 1 into 1 52.722 * [taylor]: Taking taylor expansion of PI in n 52.722 * [backup-simplify]: Simplify PI into PI 52.722 * [backup-simplify]: Simplify (* 0 PI) into 0 52.722 * [backup-simplify]: Simplify (* 2 0) into 0 52.723 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 52.724 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 52.725 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 52.725 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 52.725 * [taylor]: Taking taylor expansion of (* n PI) in n 52.725 * [taylor]: Taking taylor expansion of n in n 52.725 * [backup-simplify]: Simplify 0 into 0 52.725 * [backup-simplify]: Simplify 1 into 1 52.725 * [taylor]: Taking taylor expansion of PI in n 52.725 * [backup-simplify]: Simplify PI into PI 52.725 * [backup-simplify]: Simplify (* 0 PI) into 0 52.726 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 52.726 * [backup-simplify]: Simplify (sqrt 0) into 0 52.727 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 52.727 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 52.727 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 52.727 * [taylor]: Taking taylor expansion of +nan.0 in n 52.727 * [backup-simplify]: Simplify +nan.0 into +nan.0 52.727 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 52.727 * [taylor]: Taking taylor expansion of (sqrt 2) in n 52.727 * [taylor]: Taking taylor expansion of 2 in n 52.727 * [backup-simplify]: Simplify 2 into 2 52.727 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 52.728 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 52.728 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 52.728 * [taylor]: Taking taylor expansion of (* n PI) in n 52.728 * [taylor]: Taking taylor expansion of n in n 52.728 * [backup-simplify]: Simplify 0 into 0 52.728 * [backup-simplify]: Simplify 1 into 1 52.728 * [taylor]: Taking taylor expansion of PI in n 52.728 * [backup-simplify]: Simplify PI into PI 52.729 * [backup-simplify]: Simplify (* 0 PI) into 0 52.730 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 52.730 * [backup-simplify]: Simplify (sqrt 0) into 0 52.732 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 52.733 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 52.735 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 52.737 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 52.737 * [backup-simplify]: Simplify (* +nan.0 0) into 0 52.737 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 52.738 * [backup-simplify]: Simplify (* +nan.0 0) into 0 52.738 * [backup-simplify]: Simplify (- 0) into 0 52.739 * [backup-simplify]: Simplify (+ 0 0) into 0 52.739 * [backup-simplify]: Simplify (- 0) into 0 52.739 * [backup-simplify]: Simplify 0 into 0 52.742 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 52.747 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 52.750 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 52.753 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 52.753 * [backup-simplify]: Simplify 0 into 0 52.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 52.758 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 52.759 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 52.762 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 52.765 * [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 52.766 * [backup-simplify]: Simplify (- 0) into 0 52.766 * [backup-simplify]: Simplify (+ 0 0) into 0 52.768 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))) into 0 52.769 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0 52.771 * [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))) 52.772 * [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))))))))) 52.772 * [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 52.772 * [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 52.772 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 52.772 * [taylor]: Taking taylor expansion of +nan.0 in n 52.772 * [backup-simplify]: Simplify +nan.0 into +nan.0 52.772 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 52.773 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 52.773 * [taylor]: Taking taylor expansion of (sqrt 2) in n 52.773 * [taylor]: Taking taylor expansion of 2 in n 52.773 * [backup-simplify]: Simplify 2 into 2 52.773 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 52.774 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 52.774 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 52.774 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 52.774 * [taylor]: Taking taylor expansion of 2 in n 52.774 * [backup-simplify]: Simplify 2 into 2 52.774 * [taylor]: Taking taylor expansion of (* n PI) in n 52.774 * [taylor]: Taking taylor expansion of n in n 52.774 * [backup-simplify]: Simplify 0 into 0 52.774 * [backup-simplify]: Simplify 1 into 1 52.774 * [taylor]: Taking taylor expansion of PI in n 52.774 * [backup-simplify]: Simplify PI into PI 52.774 * [backup-simplify]: Simplify (* 0 PI) into 0 52.775 * [backup-simplify]: Simplify (* 2 0) into 0 52.776 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 52.778 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 52.779 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 52.779 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 52.779 * [taylor]: Taking taylor expansion of (* n PI) in n 52.779 * [taylor]: Taking taylor expansion of n in n 52.779 * [backup-simplify]: Simplify 0 into 0 52.779 * [backup-simplify]: Simplify 1 into 1 52.779 * [taylor]: Taking taylor expansion of PI in n 52.779 * [backup-simplify]: Simplify PI into PI 52.780 * [backup-simplify]: Simplify (* 0 PI) into 0 52.781 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 52.781 * [backup-simplify]: Simplify (sqrt 0) into 0 52.783 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 52.783 * [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 52.783 * [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 52.783 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 52.783 * [taylor]: Taking taylor expansion of +nan.0 in n 52.783 * [backup-simplify]: Simplify +nan.0 into +nan.0 52.783 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 52.783 * [taylor]: Taking taylor expansion of (sqrt 2) in n 52.783 * [taylor]: Taking taylor expansion of 2 in n 52.783 * [backup-simplify]: Simplify 2 into 2 52.784 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 52.784 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 52.784 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 52.784 * [taylor]: Taking taylor expansion of (* n PI) in n 52.784 * [taylor]: Taking taylor expansion of n in n 52.784 * [backup-simplify]: Simplify 0 into 0 52.784 * [backup-simplify]: Simplify 1 into 1 52.784 * [taylor]: Taking taylor expansion of PI in n 52.784 * [backup-simplify]: Simplify PI into PI 52.785 * [backup-simplify]: Simplify (* 0 PI) into 0 52.786 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 52.787 * [backup-simplify]: Simplify (sqrt 0) into 0 52.788 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 52.788 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))) in n 52.789 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n 52.789 * [taylor]: Taking taylor expansion of +nan.0 in n 52.789 * [backup-simplify]: Simplify +nan.0 into +nan.0 52.789 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n 52.789 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n 52.789 * [taylor]: Taking taylor expansion of (sqrt 2) in n 52.789 * [taylor]: Taking taylor expansion of 2 in n 52.789 * [backup-simplify]: Simplify 2 into 2 52.789 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 52.790 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 52.790 * [taylor]: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n 52.790 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 52.790 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 52.790 * [taylor]: Taking taylor expansion of 2 in n 52.790 * [backup-simplify]: Simplify 2 into 2 52.790 * [taylor]: Taking taylor expansion of (* n PI) in n 52.790 * [taylor]: Taking taylor expansion of n in n 52.790 * [backup-simplify]: Simplify 0 into 0 52.790 * [backup-simplify]: Simplify 1 into 1 52.790 * [taylor]: Taking taylor expansion of PI in n 52.790 * [backup-simplify]: Simplify PI into PI 52.791 * [backup-simplify]: Simplify (* 0 PI) into 0 52.791 * [backup-simplify]: Simplify (* 2 0) into 0 52.793 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 52.794 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 52.795 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 52.797 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 52.797 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 52.797 * [taylor]: Taking taylor expansion of (* n PI) in n 52.797 * [taylor]: Taking taylor expansion of n in n 52.797 * [backup-simplify]: Simplify 0 into 0 52.797 * [backup-simplify]: Simplify 1 into 1 52.797 * [taylor]: Taking taylor expansion of PI in n 52.797 * [backup-simplify]: Simplify PI into PI 52.797 * [backup-simplify]: Simplify (* 0 PI) into 0 52.799 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 52.799 * [backup-simplify]: Simplify (sqrt 0) into 0 52.800 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 52.802 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 52.803 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 52.804 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 52.805 * [backup-simplify]: Simplify (* +nan.0 0) into 0 52.805 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 52.806 * [backup-simplify]: Simplify (* +nan.0 0) into 0 52.808 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 52.809 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 52.811 * [backup-simplify]: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2) 52.813 * [backup-simplify]: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 52.814 * [backup-simplify]: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0 52.815 * [backup-simplify]: Simplify (* +nan.0 0) into 0 52.815 * [backup-simplify]: Simplify (- 0) into 0 52.815 * [backup-simplify]: Simplify (+ 0 0) into 0 52.816 * [backup-simplify]: Simplify (- 0) into 0 52.816 * [backup-simplify]: Simplify (+ 0 0) into 0 52.817 * [backup-simplify]: Simplify (- 0) into 0 52.817 * [backup-simplify]: Simplify 0 into 0 52.818 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 52.819 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 52.821 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 52.822 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 52.824 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 52.826 * [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)))))))) 52.832 * [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)))))))) 52.834 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 52.837 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 52.839 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 52.844 * [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)))))))))) 52.849 * [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))))))) 52.853 * [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))))))) 52.854 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 52.856 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 52.857 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 52.860 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 52.865 * [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)))) 52.870 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 52.873 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 52.887 * [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))))))))))))) 52.888 * [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)) 52.888 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (k n) around 0 52.888 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 52.888 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 52.888 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 52.888 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 52.888 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 52.888 * [taylor]: Taking taylor expansion of 1/2 in n 52.888 * [backup-simplify]: Simplify 1/2 into 1/2 52.888 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 52.888 * [taylor]: Taking taylor expansion of 1 in n 52.888 * [backup-simplify]: Simplify 1 into 1 52.888 * [taylor]: Taking taylor expansion of (/ 1 k) in n 52.888 * [taylor]: Taking taylor expansion of k in n 52.888 * [backup-simplify]: Simplify k into k 52.888 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 52.888 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 52.888 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 52.888 * [taylor]: Taking taylor expansion of 2 in n 52.888 * [backup-simplify]: Simplify 2 into 2 52.888 * [taylor]: Taking taylor expansion of (/ PI n) in n 52.888 * [taylor]: Taking taylor expansion of PI in n 52.888 * [backup-simplify]: Simplify PI into PI 52.888 * [taylor]: Taking taylor expansion of n in n 52.888 * [backup-simplify]: Simplify 0 into 0 52.889 * [backup-simplify]: Simplify 1 into 1 52.889 * [backup-simplify]: Simplify (/ PI 1) into PI 52.889 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 52.890 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 52.890 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 52.890 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 52.890 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 52.892 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 52.893 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 52.894 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 52.894 * [taylor]: Taking taylor expansion of (sqrt k) in n 52.894 * [taylor]: Taking taylor expansion of k in n 52.894 * [backup-simplify]: Simplify k into k 52.894 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 52.894 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 52.894 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 52.894 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 52.894 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 52.894 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 52.894 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 52.894 * [taylor]: Taking taylor expansion of 1/2 in k 52.894 * [backup-simplify]: Simplify 1/2 into 1/2 52.894 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 52.894 * [taylor]: Taking taylor expansion of 1 in k 52.894 * [backup-simplify]: Simplify 1 into 1 52.894 * [taylor]: Taking taylor expansion of (/ 1 k) in k 52.894 * [taylor]: Taking taylor expansion of k in k 52.894 * [backup-simplify]: Simplify 0 into 0 52.894 * [backup-simplify]: Simplify 1 into 1 52.895 * [backup-simplify]: Simplify (/ 1 1) into 1 52.895 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 52.895 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 52.895 * [taylor]: Taking taylor expansion of 2 in k 52.895 * [backup-simplify]: Simplify 2 into 2 52.895 * [taylor]: Taking taylor expansion of (/ PI n) in k 52.895 * [taylor]: Taking taylor expansion of PI in k 52.895 * [backup-simplify]: Simplify PI into PI 52.895 * [taylor]: Taking taylor expansion of n in k 52.895 * [backup-simplify]: Simplify n into n 52.895 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 52.895 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 52.895 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 52.895 * [backup-simplify]: Simplify (- 1) into -1 52.896 * [backup-simplify]: Simplify (+ 0 -1) into -1 52.896 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 52.896 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 52.896 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 52.896 * [taylor]: Taking taylor expansion of (sqrt k) in k 52.896 * [taylor]: Taking taylor expansion of k in k 52.897 * [backup-simplify]: Simplify 0 into 0 52.897 * [backup-simplify]: Simplify 1 into 1 52.897 * [backup-simplify]: Simplify (sqrt 0) into 0 52.898 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 52.898 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 52.898 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 52.898 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 52.898 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 52.898 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 52.898 * [taylor]: Taking taylor expansion of 1/2 in k 52.898 * [backup-simplify]: Simplify 1/2 into 1/2 52.898 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 52.899 * [taylor]: Taking taylor expansion of 1 in k 52.899 * [backup-simplify]: Simplify 1 into 1 52.899 * [taylor]: Taking taylor expansion of (/ 1 k) in k 52.899 * [taylor]: Taking taylor expansion of k in k 52.899 * [backup-simplify]: Simplify 0 into 0 52.899 * [backup-simplify]: Simplify 1 into 1 52.899 * [backup-simplify]: Simplify (/ 1 1) into 1 52.899 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 52.899 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 52.899 * [taylor]: Taking taylor expansion of 2 in k 52.899 * [backup-simplify]: Simplify 2 into 2 52.899 * [taylor]: Taking taylor expansion of (/ PI n) in k 52.899 * [taylor]: Taking taylor expansion of PI in k 52.899 * [backup-simplify]: Simplify PI into PI 52.899 * [taylor]: Taking taylor expansion of n in k 52.899 * [backup-simplify]: Simplify n into n 52.899 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 52.899 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 52.899 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 52.900 * [backup-simplify]: Simplify (- 1) into -1 52.900 * [backup-simplify]: Simplify (+ 0 -1) into -1 52.900 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 52.901 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 52.901 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 52.901 * [taylor]: Taking taylor expansion of (sqrt k) in k 52.901 * [taylor]: Taking taylor expansion of k in k 52.901 * [backup-simplify]: Simplify 0 into 0 52.901 * [backup-simplify]: Simplify 1 into 1 52.901 * [backup-simplify]: Simplify (sqrt 0) into 0 52.902 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 52.903 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 0) into 0 52.903 * [taylor]: Taking taylor expansion of 0 in n 52.903 * [backup-simplify]: Simplify 0 into 0 52.903 * [backup-simplify]: Simplify 0 into 0 52.903 * [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)))))))) 52.903 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 52.903 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 52.904 * [taylor]: Taking taylor expansion of +nan.0 in n 52.904 * [backup-simplify]: Simplify +nan.0 into +nan.0 52.904 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 52.904 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 52.904 * [taylor]: Taking taylor expansion of 1/2 in n 52.904 * [backup-simplify]: Simplify 1/2 into 1/2 52.904 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 52.904 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 52.904 * [taylor]: Taking taylor expansion of 1 in n 52.904 * [backup-simplify]: Simplify 1 into 1 52.904 * [taylor]: Taking taylor expansion of (/ 1 k) in n 52.904 * [taylor]: Taking taylor expansion of k in n 52.904 * [backup-simplify]: Simplify k into k 52.904 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 52.904 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 52.904 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 52.904 * [taylor]: Taking taylor expansion of 2 in n 52.904 * [backup-simplify]: Simplify 2 into 2 52.904 * [taylor]: Taking taylor expansion of (/ PI n) in n 52.904 * [taylor]: Taking taylor expansion of PI in n 52.904 * [backup-simplify]: Simplify PI into PI 52.904 * [taylor]: Taking taylor expansion of n in n 52.904 * [backup-simplify]: Simplify 0 into 0 52.904 * [backup-simplify]: Simplify 1 into 1 52.905 * [backup-simplify]: Simplify (/ PI 1) into PI 52.905 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 52.906 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 52.906 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 52.907 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 52.908 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 52.909 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 52.910 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 52.911 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 52.912 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) 52.914 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 52.915 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 52.915 * [backup-simplify]: Simplify 0 into 0 52.918 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 52.919 * [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)))))))) 52.919 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 52.919 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 52.919 * [taylor]: Taking taylor expansion of +nan.0 in n 52.919 * [backup-simplify]: Simplify +nan.0 into +nan.0 52.919 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 52.919 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 52.919 * [taylor]: Taking taylor expansion of 1/2 in n 52.919 * [backup-simplify]: Simplify 1/2 into 1/2 52.919 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 52.919 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 52.919 * [taylor]: Taking taylor expansion of 1 in n 52.919 * [backup-simplify]: Simplify 1 into 1 52.919 * [taylor]: Taking taylor expansion of (/ 1 k) in n 52.919 * [taylor]: Taking taylor expansion of k in n 52.919 * [backup-simplify]: Simplify k into k 52.919 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 52.919 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 52.919 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 52.919 * [taylor]: Taking taylor expansion of 2 in n 52.919 * [backup-simplify]: Simplify 2 into 2 52.920 * [taylor]: Taking taylor expansion of (/ PI n) in n 52.920 * [taylor]: Taking taylor expansion of PI in n 52.920 * [backup-simplify]: Simplify PI into PI 52.920 * [taylor]: Taking taylor expansion of n in n 52.920 * [backup-simplify]: Simplify 0 into 0 52.920 * [backup-simplify]: Simplify 1 into 1 52.920 * [backup-simplify]: Simplify (/ PI 1) into PI 52.921 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 52.922 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 52.922 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 52.922 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 52.923 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 52.924 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 52.925 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 52.926 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 52.928 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) 52.929 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 52.930 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 52.931 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 52.932 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 52.933 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 52.934 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 52.934 * [backup-simplify]: Simplify (- 0) into 0 52.934 * [backup-simplify]: Simplify (+ 0 0) into 0 52.936 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 52.937 * [backup-simplify]: Simplify (+ (* (- 1 (/ 1 k)) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 52.938 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into 0 52.940 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 52.942 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into 0 52.942 * [backup-simplify]: Simplify (- 0) into 0 52.942 * [backup-simplify]: Simplify 0 into 0 52.942 * [backup-simplify]: Simplify 0 into 0 52.946 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 52.947 * [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)))))))) 52.947 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 52.947 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 52.947 * [taylor]: Taking taylor expansion of +nan.0 in n 52.948 * [backup-simplify]: Simplify +nan.0 into +nan.0 52.948 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 52.948 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 52.948 * [taylor]: Taking taylor expansion of 1/2 in n 52.948 * [backup-simplify]: Simplify 1/2 into 1/2 52.948 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 52.948 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 52.948 * [taylor]: Taking taylor expansion of 1 in n 52.948 * [backup-simplify]: Simplify 1 into 1 52.948 * [taylor]: Taking taylor expansion of (/ 1 k) in n 52.948 * [taylor]: Taking taylor expansion of k in n 52.948 * [backup-simplify]: Simplify k into k 52.948 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 52.948 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 52.948 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 52.948 * [taylor]: Taking taylor expansion of 2 in n 52.948 * [backup-simplify]: Simplify 2 into 2 52.948 * [taylor]: Taking taylor expansion of (/ PI n) in n 52.948 * [taylor]: Taking taylor expansion of PI in n 52.948 * [backup-simplify]: Simplify PI into PI 52.948 * [taylor]: Taking taylor expansion of n in n 52.948 * [backup-simplify]: Simplify 0 into 0 52.948 * [backup-simplify]: Simplify 1 into 1 52.949 * [backup-simplify]: Simplify (/ PI 1) into PI 52.949 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 52.950 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 52.950 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 52.950 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 52.952 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 52.953 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 52.954 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 52.955 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 52.956 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) 52.957 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 52.958 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 52.963 * [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)))))))) 52.964 * [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)))) 52.964 * [approximate]: Taking taylor expansion of (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in (k n) around 0 52.964 * [taylor]: Taking taylor expansion of (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in n 52.964 * [taylor]: Taking taylor expansion of (sqrt (/ k -1)) in n 52.964 * [taylor]: Taking taylor expansion of (/ k -1) in n 52.964 * [taylor]: Taking taylor expansion of k in n 52.964 * [backup-simplify]: Simplify k into k 52.964 * [taylor]: Taking taylor expansion of -1 in n 52.964 * [backup-simplify]: Simplify -1 into -1 52.964 * [backup-simplify]: Simplify (/ k -1) into (* -1 k) 52.964 * [backup-simplify]: Simplify (sqrt (* -1 k)) into (sqrt (* -1 k)) 52.965 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 k) (/ 0 -1)))) into 0 52.965 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* -1 k)))) into 0 52.965 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 52.965 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 52.965 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 52.965 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 52.965 * [taylor]: Taking taylor expansion of 1/2 in n 52.965 * [backup-simplify]: Simplify 1/2 into 1/2 52.965 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 52.965 * [taylor]: Taking taylor expansion of (/ 1 k) in n 52.965 * [taylor]: Taking taylor expansion of k in n 52.965 * [backup-simplify]: Simplify k into k 52.965 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 52.965 * [taylor]: Taking taylor expansion of 1 in n 52.965 * [backup-simplify]: Simplify 1 into 1 52.965 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 52.965 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 52.966 * [taylor]: Taking taylor expansion of -2 in n 52.966 * [backup-simplify]: Simplify -2 into -2 52.966 * [taylor]: Taking taylor expansion of (/ PI n) in n 52.966 * [taylor]: Taking taylor expansion of PI in n 52.966 * [backup-simplify]: Simplify PI into PI 52.966 * [taylor]: Taking taylor expansion of n in n 52.966 * [backup-simplify]: Simplify 0 into 0 52.966 * [backup-simplify]: Simplify 1 into 1 52.966 * [backup-simplify]: Simplify (/ PI 1) into PI 52.967 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 52.968 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 52.968 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 52.968 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 52.969 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 52.970 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 52.972 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 52.972 * [taylor]: Taking taylor expansion of (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in k 52.972 * [taylor]: Taking taylor expansion of (sqrt (/ k -1)) in k 52.972 * [taylor]: Taking taylor expansion of (/ k -1) in k 52.972 * [taylor]: Taking taylor expansion of k in k 52.972 * [backup-simplify]: Simplify 0 into 0 52.972 * [backup-simplify]: Simplify 1 into 1 52.972 * [taylor]: Taking taylor expansion of -1 in k 52.972 * [backup-simplify]: Simplify -1 into -1 52.972 * [backup-simplify]: Simplify (/ 1 -1) into -1 52.973 * [backup-simplify]: Simplify (sqrt 0) into 0 52.974 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 52.974 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 52.974 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 52.974 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 52.974 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 52.974 * [taylor]: Taking taylor expansion of 1/2 in k 52.974 * [backup-simplify]: Simplify 1/2 into 1/2 52.974 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 52.974 * [taylor]: Taking taylor expansion of (/ 1 k) in k 52.974 * [taylor]: Taking taylor expansion of k in k 52.974 * [backup-simplify]: Simplify 0 into 0 52.974 * [backup-simplify]: Simplify 1 into 1 52.975 * [backup-simplify]: Simplify (/ 1 1) into 1 52.975 * [taylor]: Taking taylor expansion of 1 in k 52.975 * [backup-simplify]: Simplify 1 into 1 52.975 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 52.975 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 52.975 * [taylor]: Taking taylor expansion of -2 in k 52.975 * [backup-simplify]: Simplify -2 into -2 52.975 * [taylor]: Taking taylor expansion of (/ PI n) in k 52.975 * [taylor]: Taking taylor expansion of PI in k 52.975 * [backup-simplify]: Simplify PI into PI 52.975 * [taylor]: Taking taylor expansion of n in k 52.975 * [backup-simplify]: Simplify n into n 52.975 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 52.975 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 52.975 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 52.976 * [backup-simplify]: Simplify (+ 1 0) into 1 52.976 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 52.976 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 52.977 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 52.977 * [taylor]: Taking taylor expansion of (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in k 52.977 * [taylor]: Taking taylor expansion of (sqrt (/ k -1)) in k 52.977 * [taylor]: Taking taylor expansion of (/ k -1) in k 52.977 * [taylor]: Taking taylor expansion of k in k 52.977 * [backup-simplify]: Simplify 0 into 0 52.977 * [backup-simplify]: Simplify 1 into 1 52.977 * [taylor]: Taking taylor expansion of -1 in k 52.977 * [backup-simplify]: Simplify -1 into -1 52.977 * [backup-simplify]: Simplify (/ 1 -1) into -1 52.978 * [backup-simplify]: Simplify (sqrt 0) into 0 52.979 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 52.979 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 52.979 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 52.979 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 52.979 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 52.979 * [taylor]: Taking taylor expansion of 1/2 in k 52.979 * [backup-simplify]: Simplify 1/2 into 1/2 52.979 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 52.979 * [taylor]: Taking taylor expansion of (/ 1 k) in k 52.979 * [taylor]: Taking taylor expansion of k in k 52.979 * [backup-simplify]: Simplify 0 into 0 52.979 * [backup-simplify]: Simplify 1 into 1 52.980 * [backup-simplify]: Simplify (/ 1 1) into 1 52.980 * [taylor]: Taking taylor expansion of 1 in k 52.980 * [backup-simplify]: Simplify 1 into 1 52.980 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 52.980 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 52.980 * [taylor]: Taking taylor expansion of -2 in k 52.980 * [backup-simplify]: Simplify -2 into -2 52.980 * [taylor]: Taking taylor expansion of (/ PI n) in k 52.980 * [taylor]: Taking taylor expansion of PI in k 52.980 * [backup-simplify]: Simplify PI into PI 52.980 * [taylor]: Taking taylor expansion of n in k 52.980 * [backup-simplify]: Simplify n into n 52.980 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 52.980 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 52.980 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 52.981 * [backup-simplify]: Simplify (+ 1 0) into 1 52.981 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 52.981 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 52.982 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 52.982 * [backup-simplify]: Simplify (* 0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) into 0 52.982 * [taylor]: Taking taylor expansion of 0 in n 52.982 * [backup-simplify]: Simplify 0 into 0 52.982 * [backup-simplify]: Simplify 0 into 0 52.983 * [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)))))) 52.983 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n 52.983 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 52.983 * [taylor]: Taking taylor expansion of +nan.0 in n 52.983 * [backup-simplify]: Simplify +nan.0 into +nan.0 52.983 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 52.983 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 52.983 * [taylor]: Taking taylor expansion of 1/2 in n 52.983 * [backup-simplify]: Simplify 1/2 into 1/2 52.983 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 52.983 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 52.983 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 52.983 * [taylor]: Taking taylor expansion of -2 in n 52.983 * [backup-simplify]: Simplify -2 into -2 52.984 * [taylor]: Taking taylor expansion of (/ PI n) in n 52.984 * [taylor]: Taking taylor expansion of PI in n 52.984 * [backup-simplify]: Simplify PI into PI 52.984 * [taylor]: Taking taylor expansion of n in n 52.984 * [backup-simplify]: Simplify 0 into 0 52.984 * [backup-simplify]: Simplify 1 into 1 52.984 * [backup-simplify]: Simplify (/ PI 1) into PI 52.985 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 52.986 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 52.986 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 52.986 * [taylor]: Taking taylor expansion of (/ 1 k) in n 52.986 * [taylor]: Taking taylor expansion of k in n 52.986 * [backup-simplify]: Simplify k into k 52.986 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 52.986 * [taylor]: Taking taylor expansion of 1 in n 52.986 * [backup-simplify]: Simplify 1 into 1 52.987 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 52.987 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 52.988 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 52.989 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 52.991 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 52.992 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) 52.993 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) 52.994 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) 52.994 * [backup-simplify]: Simplify 0 into 0 52.995 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)))) into 0 52.998 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 52.999 * [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)))))) 52.999 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n 52.999 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 52.999 * [taylor]: Taking taylor expansion of +nan.0 in n 52.999 * [backup-simplify]: Simplify +nan.0 into +nan.0 52.999 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 53.000 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 53.000 * [taylor]: Taking taylor expansion of 1/2 in n 53.000 * [backup-simplify]: Simplify 1/2 into 1/2 53.000 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 53.000 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 53.000 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 53.000 * [taylor]: Taking taylor expansion of -2 in n 53.000 * [backup-simplify]: Simplify -2 into -2 53.000 * [taylor]: Taking taylor expansion of (/ PI n) in n 53.000 * [taylor]: Taking taylor expansion of PI in n 53.000 * [backup-simplify]: Simplify PI into PI 53.000 * [taylor]: Taking taylor expansion of n in n 53.000 * [backup-simplify]: Simplify 0 into 0 53.000 * [backup-simplify]: Simplify 1 into 1 53.000 * [backup-simplify]: Simplify (/ PI 1) into PI 53.001 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 53.002 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 53.002 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 53.002 * [taylor]: Taking taylor expansion of (/ 1 k) in n 53.002 * [taylor]: Taking taylor expansion of k in n 53.002 * [backup-simplify]: Simplify k into k 53.002 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 53.002 * [taylor]: Taking taylor expansion of 1 in n 53.002 * [backup-simplify]: Simplify 1 into 1 53.003 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 53.003 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 53.005 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 53.006 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 53.007 * [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))))) 53.008 * [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)))))) 53.009 * [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))))))) 53.011 * [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))))))) 53.012 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 53.012 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 53.013 * [backup-simplify]: Simplify (+ 0 0) into 0 53.013 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 53.014 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 53.016 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 53.017 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (/ 1 k) 1))) into 0 53.021 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into 0 53.022 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 53.023 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into 0 53.023 * [backup-simplify]: Simplify (- 0) into 0 53.023 * [backup-simplify]: Simplify 0 into 0 53.023 * [backup-simplify]: Simplify 0 into 0 53.024 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 53.027 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 53.028 * [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)))))) 53.028 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n 53.028 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 53.028 * [taylor]: Taking taylor expansion of +nan.0 in n 53.028 * [backup-simplify]: Simplify +nan.0 into +nan.0 53.028 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 53.028 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 53.028 * [taylor]: Taking taylor expansion of 1/2 in n 53.028 * [backup-simplify]: Simplify 1/2 into 1/2 53.028 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 53.028 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 53.028 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 53.028 * [taylor]: Taking taylor expansion of -2 in n 53.028 * [backup-simplify]: Simplify -2 into -2 53.028 * [taylor]: Taking taylor expansion of (/ PI n) in n 53.028 * [taylor]: Taking taylor expansion of PI in n 53.028 * [backup-simplify]: Simplify PI into PI 53.028 * [taylor]: Taking taylor expansion of n in n 53.028 * [backup-simplify]: Simplify 0 into 0 53.028 * [backup-simplify]: Simplify 1 into 1 53.028 * [backup-simplify]: Simplify (/ PI 1) into PI 53.028 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 53.029 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 53.029 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 53.029 * [taylor]: Taking taylor expansion of (/ 1 k) in n 53.029 * [taylor]: Taking taylor expansion of k in n 53.029 * [backup-simplify]: Simplify k into k 53.029 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 53.029 * [taylor]: Taking taylor expansion of 1 in n 53.029 * [backup-simplify]: Simplify 1 into 1 53.030 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 53.030 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 53.031 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 53.032 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 53.033 * [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))))) 53.033 * [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)))))) 53.034 * [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))))))) 53.035 * [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))))))) 53.037 * [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))))))) 53.037 * * * [progress]: simplifying candidates 53.037 * * * * [progress]: [ 1 / 118 ] simplifiying candidate # 53.038 * * * * [progress]: [ 2 / 118 ] simplifiying candidate # 53.038 * * * * [progress]: [ 3 / 118 ] simplifiying candidate # 53.038 * [simplify]: Simplifying (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)) 53.038 * * [simplify]: iters left: 6 (13 enodes) 53.042 * * [simplify]: iters left: 5 (54 enodes) 53.054 * * [simplify]: iters left: 4 (97 enodes) 53.094 * * [simplify]: iters left: 3 (254 enodes) 53.204 * * [simplify]: Extracting #0: cost 1 inf + 0 53.204 * * [simplify]: Extracting #1: cost 34 inf + 0 53.205 * * [simplify]: Extracting #2: cost 101 inf + 73 53.206 * * [simplify]: Extracting #3: cost 129 inf + 1240 53.211 * * [simplify]: Extracting #4: cost 60 inf + 15084 53.223 * * [simplify]: Extracting #5: cost 5 inf + 32052 53.241 * * [simplify]: Extracting #6: cost 0 inf + 33789 53.247 * [simplify]: Simplified to (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2) 53.248 * [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)))) 53.248 * * * * [progress]: [ 4 / 118 ] simplifiying candidate # 53.248 * [simplify]: Simplifying (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)) 53.248 * * [simplify]: iters left: 6 (12 enodes) 53.252 * * [simplify]: iters left: 5 (52 enodes) 53.261 * * [simplify]: iters left: 4 (90 enodes) 53.289 * * [simplify]: iters left: 3 (207 enodes) 53.359 * * [simplify]: Extracting #0: cost 1 inf + 0 53.360 * * [simplify]: Extracting #1: cost 29 inf + 0 53.360 * * [simplify]: Extracting #2: cost 88 inf + 73 53.360 * * [simplify]: Extracting #3: cost 116 inf + 695 53.362 * * [simplify]: Extracting #4: cost 70 inf + 7498 53.365 * * [simplify]: Extracting #5: cost 27 inf + 17445 53.371 * * [simplify]: Extracting #6: cost 1 inf + 25793 53.379 * * [simplify]: Extracting #7: cost 0 inf + 26056 53.384 * [simplify]: Simplified to (/ (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)) 2) 53.384 * [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)))) 53.385 * * * * [progress]: [ 5 / 118 ] simplifiying candidate # 53.385 * [simplify]: Simplifying (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)) 53.385 * * [simplify]: iters left: 6 (11 enodes) 53.388 * * [simplify]: iters left: 5 (51 enodes) 53.397 * * [simplify]: iters left: 4 (97 enodes) 53.416 * * [simplify]: iters left: 3 (202 enodes) 53.483 * * [simplify]: Extracting #0: cost 1 inf + 0 53.483 * * [simplify]: Extracting #1: cost 31 inf + 0 53.484 * * [simplify]: Extracting #2: cost 93 inf + 2 53.484 * * [simplify]: Extracting #3: cost 128 inf + 201 53.487 * * [simplify]: Extracting #4: cost 93 inf + 4096 53.490 * * [simplify]: Extracting #5: cost 18 inf + 20213 53.495 * * [simplify]: Extracting #6: cost 0 inf + 24488 53.502 * * [simplify]: Extracting #7: cost 0 inf + 24378 53.513 * [simplify]: Simplified to (/ (- (log (* (* n 2) PI)) (* k (log (* (* n 2) PI)))) 2) 53.513 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (exp (/ (- (log (* (* n 2) PI)) (* k (log (* (* n 2) PI)))) 2)))) 53.513 * * * * [progress]: [ 6 / 118 ] simplifiying candidate # 53.514 * * * * [progress]: [ 7 / 118 ] simplifiying candidate # 53.514 * [simplify]: Simplifying (* (* 2 PI) n) 53.514 * * [simplify]: iters left: 4 (5 enodes) 53.517 * * [simplify]: iters left: 3 (19 enodes) 53.523 * * [simplify]: iters left: 2 (27 enodes) 53.531 * * [simplify]: iters left: 1 (32 enodes) 53.539 * * [simplify]: Extracting #0: cost 1 inf + 0 53.539 * * [simplify]: Extracting #1: cost 8 inf + 0 53.539 * * [simplify]: Extracting #2: cost 7 inf + 45 53.539 * * [simplify]: Extracting #3: cost 0 inf + 421 53.539 * [simplify]: Simplified to (* (* 2 PI) n) 53.539 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2))))) 53.539 * * * * [progress]: [ 8 / 118 ] simplifiying candidate # 53.540 * [simplify]: Simplifying (* (* 2 PI) n) 53.540 * * [simplify]: iters left: 4 (5 enodes) 53.543 * * [simplify]: iters left: 3 (19 enodes) 53.549 * * [simplify]: iters left: 2 (27 enodes) 53.557 * * [simplify]: iters left: 1 (32 enodes) 53.565 * * [simplify]: Extracting #0: cost 1 inf + 0 53.565 * * [simplify]: Extracting #1: cost 8 inf + 0 53.565 * * [simplify]: Extracting #2: cost 7 inf + 45 53.565 * * [simplify]: Extracting #3: cost 0 inf + 421 53.566 * [simplify]: Simplified to (* (* 2 PI) n) 53.566 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2))))) 53.566 * * * * [progress]: [ 9 / 118 ] simplifiying candidate # 53.566 * [simplify]: Simplifying (* (* 2 PI) n) 53.566 * * [simplify]: iters left: 4 (5 enodes) 53.569 * * [simplify]: iters left: 3 (19 enodes) 53.575 * * [simplify]: iters left: 2 (27 enodes) 53.583 * * [simplify]: iters left: 1 (32 enodes) 53.591 * * [simplify]: Extracting #0: cost 1 inf + 0 53.591 * * [simplify]: Extracting #1: cost 8 inf + 0 53.591 * * [simplify]: Extracting #2: cost 7 inf + 45 53.591 * * [simplify]: Extracting #3: cost 0 inf + 421 53.591 * [simplify]: Simplified to (* (* 2 PI) n) 53.591 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2))))) 53.591 * * * * [progress]: [ 10 / 118 ] simplifiying candidate # 53.592 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ k 2)) 53.592 * * [simplify]: iters left: 5 (8 enodes) 53.594 * * [simplify]: iters left: 4 (31 enodes) 53.599 * * [simplify]: iters left: 3 (51 enodes) 53.609 * * [simplify]: iters left: 2 (85 enodes) 53.623 * * [simplify]: iters left: 1 (152 enodes) 53.652 * * [simplify]: Extracting #0: cost 1 inf + 0 53.652 * * [simplify]: Extracting #1: cost 13 inf + 0 53.652 * * [simplify]: Extracting #2: cost 60 inf + 1 53.652 * * [simplify]: Extracting #3: cost 76 inf + 51 53.653 * * [simplify]: Extracting #4: cost 44 inf + 2846 53.654 * * [simplify]: Extracting #5: cost 21 inf + 7590 53.657 * * [simplify]: Extracting #6: cost 1 inf + 20687 53.660 * * [simplify]: Extracting #7: cost 0 inf + 20539 53.662 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 53.662 * [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))))) 53.663 * * * * [progress]: [ 11 / 118 ] simplifiying candidate # 53.663 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2)) 53.663 * * [simplify]: iters left: 5 (6 enodes) 53.665 * * [simplify]: iters left: 4 (26 enodes) 53.669 * * [simplify]: iters left: 3 (35 enodes) 53.674 * * [simplify]: Extracting #0: cost 1 inf + 0 53.674 * * [simplify]: Extracting #1: cost 3 inf + 0 53.675 * * [simplify]: Extracting #2: cost 8 inf + 0 53.675 * * [simplify]: Extracting #3: cost 11 inf + 2 53.675 * * [simplify]: Extracting #4: cost 8 inf + 87 53.675 * * [simplify]: Extracting #5: cost 2 inf + 500 53.675 * * [simplify]: Extracting #6: cost 0 inf + 746 53.675 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2)) 53.675 * [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))))) 53.675 * * * * [progress]: [ 12 / 118 ] simplifiying candidate # 53.675 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2)) 53.675 * * [simplify]: iters left: 5 (6 enodes) 53.678 * * [simplify]: iters left: 4 (26 enodes) 53.688 * * [simplify]: iters left: 3 (35 enodes) 53.697 * * [simplify]: Extracting #0: cost 1 inf + 0 53.697 * * [simplify]: Extracting #1: cost 3 inf + 0 53.697 * * [simplify]: Extracting #2: cost 8 inf + 0 53.697 * * [simplify]: Extracting #3: cost 11 inf + 2 53.697 * * [simplify]: Extracting #4: cost 8 inf + 87 53.697 * * [simplify]: Extracting #5: cost 2 inf + 460 53.698 * * [simplify]: Extracting #6: cost 0 inf + 666 53.698 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2)) 53.698 * [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))))) 53.698 * * * * [progress]: [ 13 / 118 ] simplifiying candidate # 53.698 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2)) 53.698 * * [simplify]: iters left: 5 (7 enodes) 53.700 * * [simplify]: iters left: 4 (25 enodes) 53.705 * * [simplify]: iters left: 3 (30 enodes) 53.709 * * [simplify]: Extracting #0: cost 1 inf + 0 53.710 * * [simplify]: Extracting #1: cost 4 inf + 0 53.710 * * [simplify]: Extracting #2: cost 8 inf + 0 53.710 * * [simplify]: Extracting #3: cost 10 inf + 82 53.710 * * [simplify]: Extracting #4: cost 7 inf + 206 53.710 * * [simplify]: Extracting #5: cost 2 inf + 575 53.710 * * [simplify]: Extracting #6: cost 1 inf + 818 53.710 * * [simplify]: Extracting #7: cost 0 inf + 1061 53.710 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2)) 53.710 * [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))))) 53.710 * * * * [progress]: [ 14 / 118 ] simplifiying candidate # 53.711 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2)) 53.711 * * [simplify]: iters left: 5 (7 enodes) 53.713 * * [simplify]: iters left: 4 (25 enodes) 53.717 * * [simplify]: iters left: 3 (30 enodes) 53.722 * * [simplify]: Extracting #0: cost 1 inf + 0 53.722 * * [simplify]: Extracting #1: cost 4 inf + 0 53.722 * * [simplify]: Extracting #2: cost 8 inf + 0 53.722 * * [simplify]: Extracting #3: cost 10 inf + 42 53.722 * * [simplify]: Extracting #4: cost 7 inf + 126 53.722 * * [simplify]: Extracting #5: cost 2 inf + 495 53.722 * * [simplify]: Extracting #6: cost 1 inf + 698 53.722 * * [simplify]: Extracting #7: cost 0 inf + 901 53.723 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2)) 53.723 * [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))))) 53.723 * * * * [progress]: [ 15 / 118 ] simplifiying candidate # 53.723 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2) 53.723 * * [simplify]: iters left: 5 (6 enodes) 53.725 * * [simplify]: iters left: 4 (22 enodes) 53.728 * * [simplify]: iters left: 3 (27 enodes) 53.732 * * [simplify]: Extracting #0: cost 1 inf + 0 53.733 * * [simplify]: Extracting #1: cost 4 inf + 0 53.733 * * [simplify]: Extracting #2: cost 5 inf + 1 53.733 * * [simplify]: Extracting #3: cost 9 inf + 1 53.733 * * [simplify]: Extracting #4: cost 8 inf + 3 53.733 * * [simplify]: Extracting #5: cost 4 inf + 169 53.733 * * [simplify]: Extracting #6: cost 1 inf + 576 53.733 * * [simplify]: Extracting #7: cost 0 inf + 739 53.733 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 53.733 * [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)))) 53.733 * * * * [progress]: [ 16 / 118 ] simplifiying candidate # 53.733 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2)) 53.734 * * [simplify]: iters left: 5 (7 enodes) 53.736 * * [simplify]: iters left: 4 (25 enodes) 53.740 * * [simplify]: iters left: 3 (30 enodes) 53.745 * * [simplify]: Extracting #0: cost 1 inf + 0 53.745 * * [simplify]: Extracting #1: cost 4 inf + 0 53.745 * * [simplify]: Extracting #2: cost 8 inf + 0 53.745 * * [simplify]: Extracting #3: cost 10 inf + 82 53.745 * * [simplify]: Extracting #4: cost 7 inf + 206 53.746 * * [simplify]: Extracting #5: cost 2 inf + 495 53.746 * * [simplify]: Extracting #6: cost 1 inf + 698 53.746 * * [simplify]: Extracting #7: cost 0 inf + 901 53.746 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2)) 53.746 * [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))))) 53.746 * * * * [progress]: [ 17 / 118 ] simplifiying candidate # 53.746 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2)) 53.746 * * [simplify]: iters left: 5 (7 enodes) 53.749 * * [simplify]: iters left: 4 (25 enodes) 53.753 * * [simplify]: iters left: 3 (30 enodes) 53.758 * * [simplify]: Extracting #0: cost 1 inf + 0 53.758 * * [simplify]: Extracting #1: cost 4 inf + 0 53.758 * * [simplify]: Extracting #2: cost 8 inf + 0 53.758 * * [simplify]: Extracting #3: cost 10 inf + 42 53.759 * * [simplify]: Extracting #4: cost 7 inf + 126 53.759 * * [simplify]: Extracting #5: cost 2 inf + 415 53.759 * * [simplify]: Extracting #6: cost 1 inf + 578 53.759 * * [simplify]: Extracting #7: cost 0 inf + 741 53.760 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2)) 53.760 * [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))))) 53.760 * * * * [progress]: [ 18 / 118 ] simplifiying candidate # 53.760 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2) 53.760 * * [simplify]: iters left: 5 (6 enodes) 53.762 * * [simplify]: iters left: 4 (22 enodes) 53.765 * * [simplify]: iters left: 3 (27 enodes) 53.771 * * [simplify]: Extracting #0: cost 1 inf + 0 53.771 * * [simplify]: Extracting #1: cost 4 inf + 0 53.771 * * [simplify]: Extracting #2: cost 5 inf + 1 53.771 * * [simplify]: Extracting #3: cost 9 inf + 1 53.771 * * [simplify]: Extracting #4: cost 8 inf + 3 53.771 * * [simplify]: Extracting #5: cost 4 inf + 169 53.771 * * [simplify]: Extracting #6: cost 1 inf + 456 53.772 * * [simplify]: Extracting #7: cost 0 inf + 579 53.772 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 53.772 * [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)))) 53.772 * * * * [progress]: [ 19 / 118 ] simplifiying candidate # 53.773 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 53.773 * * [simplify]: iters left: 4 (6 enodes) 53.777 * * [simplify]: iters left: 3 (25 enodes) 53.785 * * [simplify]: iters left: 2 (36 enodes) 53.796 * * [simplify]: iters left: 1 (40 enodes) 53.808 * * [simplify]: Extracting #0: cost 1 inf + 0 53.808 * * [simplify]: Extracting #1: cost 7 inf + 0 53.808 * * [simplify]: Extracting #2: cost 16 inf + 0 53.808 * * [simplify]: Extracting #3: cost 13 inf + 44 53.808 * * [simplify]: Extracting #4: cost 3 inf + 1103 53.809 * * [simplify]: Extracting #5: cost 0 inf + 1469 53.809 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 53.809 * [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))))) 53.810 * * * * [progress]: [ 20 / 118 ] simplifiying candidate # 53.810 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 53.810 * * [simplify]: iters left: 4 (6 enodes) 53.814 * * [simplify]: iters left: 3 (25 enodes) 53.823 * * [simplify]: iters left: 2 (36 enodes) 53.834 * * [simplify]: iters left: 1 (40 enodes) 53.846 * * [simplify]: Extracting #0: cost 1 inf + 0 53.846 * * [simplify]: Extracting #1: cost 7 inf + 0 53.846 * * [simplify]: Extracting #2: cost 16 inf + 0 53.846 * * [simplify]: Extracting #3: cost 13 inf + 44 53.847 * * [simplify]: Extracting #4: cost 3 inf + 823 53.847 * * [simplify]: Extracting #5: cost 0 inf + 1069 53.848 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 53.848 * [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))))) 53.848 * * * * [progress]: [ 21 / 118 ] simplifiying candidate # 53.848 * [simplify]: Simplifying (/ (- 1 k) 2) 53.848 * * [simplify]: iters left: 4 (5 enodes) 53.852 * * [simplify]: iters left: 3 (23 enodes) 53.860 * * [simplify]: iters left: 2 (32 enodes) 53.869 * * [simplify]: Extracting #0: cost 1 inf + 0 53.869 * * [simplify]: Extracting #1: cost 6 inf + 0 53.869 * * [simplify]: Extracting #2: cost 9 inf + 2 53.869 * * [simplify]: Extracting #3: cost 6 inf + 87 53.870 * * [simplify]: Extracting #4: cost 0 inf + 420 53.870 * [simplify]: Simplified to (/ (- 1 k) 2) 53.870 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ 1 1)) (/ (- 1 k) 2)))) 53.870 * * * * [progress]: [ 22 / 118 ] simplifiying candidate # 53.870 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 53.870 * * [simplify]: iters left: 5 (8 enodes) 53.874 * * [simplify]: iters left: 4 (31 enodes) 53.879 * * [simplify]: iters left: 3 (45 enodes) 53.885 * * [simplify]: iters left: 2 (51 enodes) 53.892 * * [simplify]: iters left: 1 (52 enodes) 53.901 * * [simplify]: Extracting #0: cost 1 inf + 0 53.901 * * [simplify]: Extracting #1: cost 8 inf + 0 53.901 * * [simplify]: Extracting #2: cost 18 inf + 0 53.901 * * [simplify]: Extracting #3: cost 19 inf + 2 53.901 * * [simplify]: Extracting #4: cost 9 inf + 977 53.901 * * [simplify]: Extracting #5: cost 2 inf + 1790 53.902 * * [simplify]: Extracting #6: cost 0 inf + 2195 53.902 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 53.902 * [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))))) 53.902 * * * * [progress]: [ 23 / 118 ] simplifiying candidate # 53.902 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 53.903 * * [simplify]: iters left: 5 (8 enodes) 53.905 * * [simplify]: iters left: 4 (31 enodes) 53.913 * * [simplify]: iters left: 3 (45 enodes) 53.926 * * [simplify]: iters left: 2 (51 enodes) 53.940 * * [simplify]: iters left: 1 (52 enodes) 53.954 * * [simplify]: Extracting #0: cost 1 inf + 0 53.954 * * [simplify]: Extracting #1: cost 8 inf + 0 53.954 * * [simplify]: Extracting #2: cost 18 inf + 0 53.954 * * [simplify]: Extracting #3: cost 19 inf + 2 53.954 * * [simplify]: Extracting #4: cost 9 inf + 697 53.955 * * [simplify]: Extracting #5: cost 2 inf + 1390 53.956 * * [simplify]: Extracting #6: cost 0 inf + 1715 53.956 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 53.956 * [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))))) 53.957 * * * * [progress]: [ 24 / 118 ] simplifiying candidate # 53.957 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 53.957 * * [simplify]: iters left: 5 (7 enodes) 53.962 * * [simplify]: iters left: 4 (29 enodes) 53.972 * * [simplify]: iters left: 3 (43 enodes) 53.982 * * [simplify]: iters left: 2 (47 enodes) 53.988 * * [simplify]: Extracting #0: cost 1 inf + 0 53.988 * * [simplify]: Extracting #1: cost 7 inf + 0 53.988 * * [simplify]: Extracting #2: cost 11 inf + 2 53.988 * * [simplify]: Extracting #3: cost 13 inf + 3 53.988 * * [simplify]: Extracting #4: cost 11 inf + 45 53.988 * * [simplify]: Extracting #5: cost 0 inf + 1066 53.988 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 53.988 * [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)))) 53.988 * * * * [progress]: [ 25 / 118 ] simplifiying candidate # 53.989 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 53.989 * * [simplify]: iters left: 5 (7 enodes) 53.991 * * [simplify]: iters left: 4 (28 enodes) 53.996 * * [simplify]: iters left: 3 (39 enodes) 54.002 * * [simplify]: iters left: 2 (43 enodes) 54.009 * * [simplify]: Extracting #0: cost 1 inf + 0 54.009 * * [simplify]: Extracting #1: cost 7 inf + 0 54.009 * * [simplify]: Extracting #2: cost 16 inf + 0 54.009 * * [simplify]: Extracting #3: cost 15 inf + 164 54.009 * * [simplify]: Extracting #4: cost 13 inf + 287 54.009 * * [simplify]: Extracting #5: cost 5 inf + 1180 54.010 * * [simplify]: Extracting #6: cost 0 inf + 1951 54.010 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 54.010 * [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))))) 54.010 * * * * [progress]: [ 26 / 118 ] simplifiying candidate # 54.010 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 54.010 * * [simplify]: iters left: 5 (7 enodes) 54.014 * * [simplify]: iters left: 4 (28 enodes) 54.019 * * [simplify]: iters left: 3 (39 enodes) 54.025 * * [simplify]: iters left: 2 (43 enodes) 54.031 * * [simplify]: Extracting #0: cost 1 inf + 0 54.031 * * [simplify]: Extracting #1: cost 7 inf + 0 54.031 * * [simplify]: Extracting #2: cost 16 inf + 0 54.031 * * [simplify]: Extracting #3: cost 15 inf + 84 54.031 * * [simplify]: Extracting #4: cost 13 inf + 167 54.031 * * [simplify]: Extracting #5: cost 5 inf + 900 54.032 * * [simplify]: Extracting #6: cost 0 inf + 1551 54.032 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 54.032 * [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))))) 54.032 * * * * [progress]: [ 27 / 118 ] simplifiying candidate # 54.032 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 54.032 * * [simplify]: iters left: 5 (6 enodes) 54.035 * * [simplify]: iters left: 4 (26 enodes) 54.039 * * [simplify]: iters left: 3 (35 enodes) 54.048 * * [simplify]: Extracting #0: cost 1 inf + 0 54.048 * * [simplify]: Extracting #1: cost 6 inf + 0 54.049 * * [simplify]: Extracting #2: cost 9 inf + 2 54.049 * * [simplify]: Extracting #3: cost 11 inf + 3 54.049 * * [simplify]: Extracting #4: cost 10 inf + 4 54.049 * * [simplify]: Extracting #5: cost 3 inf + 535 54.049 * * [simplify]: Extracting #6: cost 0 inf + 822 54.050 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 54.050 * [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)))) 54.050 * * * * [progress]: [ 28 / 118 ] simplifiying candidate # 54.050 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 54.050 * * [simplify]: iters left: 4 (6 enodes) 54.054 * * [simplify]: iters left: 3 (25 enodes) 54.063 * * [simplify]: iters left: 2 (36 enodes) 54.075 * * [simplify]: iters left: 1 (40 enodes) 54.087 * * [simplify]: Extracting #0: cost 1 inf + 0 54.087 * * [simplify]: Extracting #1: cost 7 inf + 0 54.087 * * [simplify]: Extracting #2: cost 16 inf + 0 54.087 * * [simplify]: Extracting #3: cost 13 inf + 44 54.087 * * [simplify]: Extracting #4: cost 3 inf + 1103 54.088 * * [simplify]: Extracting #5: cost 0 inf + 1469 54.088 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 54.088 * [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))))) 54.088 * * * * [progress]: [ 29 / 118 ] simplifiying candidate # 54.089 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 54.089 * * [simplify]: iters left: 4 (6 enodes) 54.093 * * [simplify]: iters left: 3 (25 enodes) 54.101 * * [simplify]: iters left: 2 (36 enodes) 54.108 * * [simplify]: iters left: 1 (40 enodes) 54.114 * * [simplify]: Extracting #0: cost 1 inf + 0 54.114 * * [simplify]: Extracting #1: cost 7 inf + 0 54.114 * * [simplify]: Extracting #2: cost 16 inf + 0 54.114 * * [simplify]: Extracting #3: cost 13 inf + 44 54.114 * * [simplify]: Extracting #4: cost 3 inf + 823 54.115 * * [simplify]: Extracting #5: cost 0 inf + 1069 54.115 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 54.115 * [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))))) 54.115 * * * * [progress]: [ 30 / 118 ] simplifiying candidate # 54.115 * [simplify]: Simplifying (/ (- 1 k) 2) 54.115 * * [simplify]: iters left: 4 (5 enodes) 54.117 * * [simplify]: iters left: 3 (23 enodes) 54.121 * * [simplify]: iters left: 2 (32 enodes) 54.128 * * [simplify]: Extracting #0: cost 1 inf + 0 54.128 * * [simplify]: Extracting #1: cost 6 inf + 0 54.128 * * [simplify]: Extracting #2: cost 9 inf + 2 54.128 * * [simplify]: Extracting #3: cost 6 inf + 87 54.128 * * [simplify]: Extracting #4: cost 0 inf + 420 54.128 * [simplify]: Simplified to (/ (- 1 k) 2) 54.128 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ 1 1)) (/ (- 1 k) 2)))) 54.128 * * * * [progress]: [ 31 / 118 ] simplifiying candidate # 54.129 * [simplify]: Simplifying (/ (- 1 k) 2) 54.129 * * [simplify]: iters left: 4 (5 enodes) 54.131 * * [simplify]: iters left: 3 (23 enodes) 54.135 * * [simplify]: iters left: 2 (32 enodes) 54.143 * * [simplify]: Extracting #0: cost 1 inf + 0 54.143 * * [simplify]: Extracting #1: cost 6 inf + 0 54.143 * * [simplify]: Extracting #2: cost 9 inf + 2 54.143 * * [simplify]: Extracting #3: cost 6 inf + 87 54.143 * * [simplify]: Extracting #4: cost 0 inf + 420 54.144 * [simplify]: Simplified to (/ (- 1 k) 2) 54.144 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2)))) 54.144 * * * * [progress]: [ 32 / 118 ] simplifiying candidate # 54.144 * [simplify]: Simplifying (/ 1 2) 54.144 * * [simplify]: iters left: 2 (3 enodes) 54.147 * * [simplify]: iters left: 1 (12 enodes) 54.152 * * [simplify]: Extracting #0: cost 1 inf + 0 54.152 * * [simplify]: Extracting #1: cost 0 inf + 1 54.152 * [simplify]: Simplified to 1/2 54.152 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (- 1 k)) 1/2))) 54.152 * * * * [progress]: [ 33 / 118 ] simplifiying candidate # 54.153 * [simplify]: Simplifying (pow (* 2 PI) (/ (- 1 k) 2)) 54.153 * * [simplify]: iters left: 5 (8 enodes) 54.158 * * [simplify]: iters left: 4 (36 enodes) 54.167 * * [simplify]: iters left: 3 (57 enodes) 54.176 * * [simplify]: iters left: 2 (90 enodes) 54.194 * * [simplify]: iters left: 1 (176 enodes) 54.246 * * [simplify]: Extracting #0: cost 1 inf + 0 54.246 * * [simplify]: Extracting #1: cost 13 inf + 0 54.246 * * [simplify]: Extracting #2: cost 55 inf + 1 54.246 * * [simplify]: Extracting #3: cost 86 inf + 6 54.247 * * [simplify]: Extracting #4: cost 73 inf + 1511 54.248 * * [simplify]: Extracting #5: cost 26 inf + 9176 54.251 * * [simplify]: Extracting #6: cost 2 inf + 22574 54.255 * * [simplify]: Extracting #7: cost 0 inf + 23644 54.258 * [simplify]: Simplified to (pow (* 2 PI) (/ (- 1 k) 2)) 54.258 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))))) 54.258 * * * * [progress]: [ 34 / 118 ] simplifiying candidate # 54.258 * * * * [progress]: [ 35 / 118 ] simplifiying candidate # 54.258 * * * * [progress]: [ 36 / 118 ] simplifiying candidate # 54.258 * * * * [progress]: [ 37 / 118 ] simplifiying candidate # 54.258 * * * * [progress]: [ 38 / 118 ] simplifiying candidate # 54.258 * * * * [progress]: [ 39 / 118 ] simplifiying candidate # 54.258 * * * * [progress]: [ 40 / 118 ] simplifiying candidate # 54.258 * * * * [progress]: [ 41 / 118 ] simplifiying candidate # 54.258 * * * * [progress]: [ 42 / 118 ] simplifiying candidate #real (real->posit16 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))> 54.258 * * * * [progress]: [ 43 / 118 ] simplifiying candidate # 54.258 * * * * [progress]: [ 44 / 118 ] simplifiying candidate # 54.258 * * * * [progress]: [ 45 / 118 ] simplifiying candidate # 54.259 * [simplify]: Simplifying (* (* 2 PI) n) 54.259 * * [simplify]: iters left: 4 (5 enodes) 54.260 * * [simplify]: iters left: 3 (19 enodes) 54.263 * * [simplify]: iters left: 2 (27 enodes) 54.267 * * [simplify]: iters left: 1 (32 enodes) 54.271 * * [simplify]: Extracting #0: cost 1 inf + 0 54.272 * * [simplify]: Extracting #1: cost 8 inf + 0 54.272 * * [simplify]: Extracting #2: cost 7 inf + 45 54.272 * * [simplify]: Extracting #3: cost 0 inf + 421 54.272 * [simplify]: Simplified to (* (* 2 PI) n) 54.272 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2)))) 54.272 * * * * [progress]: [ 46 / 118 ] simplifiying candidate # 54.272 * [simplify]: Simplifying (* (* 2 PI) n) 54.272 * * [simplify]: iters left: 4 (5 enodes) 54.274 * * [simplify]: iters left: 3 (19 enodes) 54.276 * * [simplify]: iters left: 2 (27 enodes) 54.280 * * [simplify]: iters left: 1 (32 enodes) 54.284 * * [simplify]: Extracting #0: cost 1 inf + 0 54.284 * * [simplify]: Extracting #1: cost 8 inf + 0 54.284 * * [simplify]: Extracting #2: cost 7 inf + 45 54.285 * * [simplify]: Extracting #3: cost 0 inf + 421 54.285 * [simplify]: Simplified to (* (* 2 PI) n) 54.285 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2)))) 54.285 * * * * [progress]: [ 47 / 118 ] simplifiying candidate # 54.285 * * * * [progress]: [ 48 / 118 ] simplifiying candidate # 54.285 * [simplify]: Simplifying (+ (+ (log 2) (log PI)) (log n)) 54.285 * * [simplify]: iters left: 5 (8 enodes) 54.287 * * [simplify]: iters left: 4 (28 enodes) 54.292 * * [simplify]: iters left: 3 (36 enodes) 54.297 * * [simplify]: iters left: 2 (42 enodes) 54.302 * * [simplify]: Extracting #0: cost 1 inf + 0 54.302 * * [simplify]: Extracting #1: cost 8 inf + 0 54.302 * * [simplify]: Extracting #2: cost 17 inf + 0 54.302 * * [simplify]: Extracting #3: cost 13 inf + 74 54.302 * * [simplify]: Extracting #4: cost 6 inf + 1015 54.303 * * [simplify]: Extracting #5: cost 0 inf + 2107 54.303 * [simplify]: Simplified to (+ (log 2) (+ (log PI) (log n))) 54.303 * [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)))) 54.303 * * * * [progress]: [ 49 / 118 ] simplifiying candidate # 54.303 * [simplify]: Simplifying (+ (log (* 2 PI)) (log n)) 54.303 * * [simplify]: iters left: 5 (7 enodes) 54.305 * * [simplify]: iters left: 4 (26 enodes) 54.311 * * [simplify]: iters left: 3 (35 enodes) 54.318 * * [simplify]: iters left: 2 (44 enodes) 54.330 * * [simplify]: Extracting #0: cost 1 inf + 0 54.330 * * [simplify]: Extracting #1: cost 8 inf + 0 54.330 * * [simplify]: Extracting #2: cost 18 inf + 0 54.330 * * [simplify]: Extracting #3: cost 15 inf + 74 54.330 * * [simplify]: Extracting #4: cost 6 inf + 918 54.331 * * [simplify]: Extracting #5: cost 0 inf + 1911 54.331 * [simplify]: Simplified to (+ (log (* 2 PI)) (log n)) 54.332 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow k -1/2) (pow (exp (+ (log (* 2 PI)) (log n))) (/ (- 1 k) 2)))) 54.332 * * * * [progress]: [ 50 / 118 ] simplifiying candidate # 54.332 * * * * [progress]: [ 51 / 118 ] simplifiying candidate # 54.332 * * * * [progress]: [ 52 / 118 ] simplifiying candidate # 54.332 * [simplify]: Simplifying (* (* (* (* 2 2) 2) (* (* PI PI) PI)) (* (* n n) n)) 54.332 * * [simplify]: iters left: 6 (11 enodes) 54.335 * * [simplify]: iters left: 5 (47 enodes) 54.346 * * [simplify]: iters left: 4 (115 enodes) 54.372 * * [simplify]: iters left: 3 (384 enodes) 54.663 * * [simplify]: Extracting #0: cost 1 inf + 0 54.663 * * [simplify]: Extracting #1: cost 102 inf + 0 54.664 * * [simplify]: Extracting #2: cost 263 inf + 1026 54.669 * * [simplify]: Extracting #3: cost 88 inf + 24284 54.679 * * [simplify]: Extracting #4: cost 2 inf + 40704 54.694 * * [simplify]: Extracting #5: cost 0 inf + 41008 54.714 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n)) 54.714 * [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)))) 54.715 * * * * [progress]: [ 53 / 118 ] simplifiying candidate # 54.715 * [simplify]: Simplifying (* (* (* (* 2 PI) (* 2 PI)) (* 2 PI)) (* (* n n) n)) 54.715 * * [simplify]: iters left: 6 (9 enodes) 54.721 * * [simplify]: iters left: 5 (45 enodes) 54.738 * * [simplify]: iters left: 4 (116 enodes) 54.803 * * [simplify]: iters left: 3 (371 enodes) 55.180 * * [simplify]: Extracting #0: cost 1 inf + 0 55.180 * * [simplify]: Extracting #1: cost 82 inf + 0 55.182 * * [simplify]: Extracting #2: cost 200 inf + 498 55.189 * * [simplify]: Extracting #3: cost 121 inf + 10421 55.207 * * [simplify]: Extracting #4: cost 5 inf + 33505 55.227 * * [simplify]: Extracting #5: cost 0 inf + 33849 55.246 * * [simplify]: Extracting #6: cost 0 inf + 33809 55.266 * [simplify]: Simplified to (* (* n PI) (* 8 (* (* n PI) (* n PI)))) 55.266 * [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)))) 55.267 * * * * [progress]: [ 54 / 118 ] simplifiying candidate # 55.267 * * * * [progress]: [ 55 / 118 ] simplifiying candidate # 55.267 * * * * [progress]: [ 56 / 118 ] simplifiying candidate # 55.267 * * * * [progress]: [ 57 / 118 ] simplifiying candidate # 55.267 * * * * [progress]: [ 58 / 118 ] simplifiying candidate # 55.267 * [simplify]: Simplifying (cbrt n) 55.267 * * [simplify]: iters left: 1 (2 enodes) 55.268 * * [simplify]: Extracting #0: cost 1 inf + 0 55.268 * * [simplify]: Extracting #1: cost 3 inf + 0 55.268 * * [simplify]: Extracting #2: cost 2 inf + 1 55.268 * * [simplify]: Extracting #3: cost 0 inf + 163 55.269 * [simplify]: Simplified to (cbrt n) 55.269 * [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)))) 55.269 * * * * [progress]: [ 59 / 118 ] simplifiying candidate # 55.269 * [simplify]: Simplifying (sqrt n) 55.269 * * [simplify]: iters left: 1 (2 enodes) 55.270 * * [simplify]: Extracting #0: cost 1 inf + 0 55.270 * * [simplify]: Extracting #1: cost 3 inf + 0 55.270 * * [simplify]: Extracting #2: cost 2 inf + 1 55.270 * * [simplify]: Extracting #3: cost 0 inf + 83 55.270 * [simplify]: Simplified to (sqrt n) 55.270 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow k -1/2) (pow (* (* (* 2 PI) (sqrt n)) (sqrt n)) (/ (- 1 k) 2)))) 55.270 * * * * [progress]: [ 60 / 118 ] simplifiying candidate # 55.270 * * * * [progress]: [ 61 / 118 ] simplifiying candidate # 55.271 * * * * [progress]: [ 62 / 118 ] simplifiying candidate #real (real->posit16 (* (* 2 PI) n))) (/ (- 1 k) 2))))> 55.271 * * * * [progress]: [ 63 / 118 ] simplifiying candidate # 55.271 * * * * [progress]: [ 64 / 118 ] simplifiying candidate # 55.271 * * * * [progress]: [ 65 / 118 ] simplifiying candidate # 55.271 * * * * [progress]: [ 66 / 118 ] simplifiying candidate # 55.271 * * * * [progress]: [ 67 / 118 ] simplifiying candidate # 55.271 * [simplify]: Simplifying (+ (* (log k) -1/2) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2))) 55.271 * * [simplify]: iters left: 6 (17 enodes) 55.281 * * [simplify]: iters left: 5 (69 enodes) 55.307 * * [simplify]: iters left: 4 (115 enodes) 55.342 * * [simplify]: iters left: 3 (301 enodes) 55.467 * * [simplify]: Extracting #0: cost 1 inf + 0 55.467 * * [simplify]: Extracting #1: cost 31 inf + 0 55.468 * * [simplify]: Extracting #2: cost 85 inf + 1 55.468 * * [simplify]: Extracting #3: cost 121 inf + 889 55.470 * * [simplify]: Extracting #4: cost 115 inf + 6054 55.475 * * [simplify]: Extracting #5: cost 24 inf + 32429 55.486 * * [simplify]: Extracting #6: cost 0 inf + 40563 55.503 * * [simplify]: Extracting #7: cost 0 inf + 40478 55.516 * [simplify]: Simplified to (fma (log k) -1/2 (/ (- (+ (log n) (+ (log 2) (log PI))) (* (+ (log n) (+ (log 2) (log PI))) k)) 2)) 55.516 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log k) -1/2 (/ (- (+ (log n) (+ (log 2) (log PI))) (* (+ (log n) (+ (log 2) (log PI))) k)) 2)))) 55.516 * * * * [progress]: [ 68 / 118 ] simplifiying candidate # 55.516 * [simplify]: Simplifying (+ (* (log k) -1/2) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))) 55.516 * * [simplify]: iters left: 6 (16 enodes) 55.521 * * [simplify]: iters left: 5 (67 enodes) 55.532 * * [simplify]: iters left: 4 (108 enodes) 55.562 * * [simplify]: iters left: 3 (240 enodes) 55.664 * * [simplify]: Extracting #0: cost 1 inf + 0 55.664 * * [simplify]: Extracting #1: cost 25 inf + 0 55.665 * * [simplify]: Extracting #2: cost 74 inf + 1 55.665 * * [simplify]: Extracting #3: cost 112 inf + 290 55.667 * * [simplify]: Extracting #4: cost 109 inf + 3635 55.673 * * [simplify]: Extracting #5: cost 45 inf + 18404 55.681 * * [simplify]: Extracting #6: cost 10 inf + 29492 55.688 * * [simplify]: Extracting #7: cost 0 inf + 32387 55.695 * [simplify]: Simplified to (fma -1/2 (log k) (/ (- (+ (log n) (log (* 2 PI))) (* k (+ (log n) (log (* 2 PI))))) 2)) 55.696 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma -1/2 (log k) (/ (- (+ (log n) (log (* 2 PI))) (* k (+ (log n) (log (* 2 PI))))) 2)))) 55.696 * * * * [progress]: [ 69 / 118 ] simplifiying candidate # 55.696 * [simplify]: Simplifying (+ (* (log k) -1/2) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 55.696 * * [simplify]: iters left: 6 (15 enodes) 55.700 * * [simplify]: iters left: 5 (66 enodes) 55.711 * * [simplify]: iters left: 4 (115 enodes) 55.746 * * [simplify]: iters left: 3 (227 enodes) 55.855 * * [simplify]: Extracting #0: cost 1 inf + 0 55.856 * * [simplify]: Extracting #1: cost 18 inf + 0 55.856 * * [simplify]: Extracting #2: cost 71 inf + 1 55.857 * * [simplify]: Extracting #3: cost 115 inf + 147 55.858 * * [simplify]: Extracting #4: cost 122 inf + 1865 55.863 * * [simplify]: Extracting #5: cost 56 inf + 13675 55.873 * * [simplify]: Extracting #6: cost 5 inf + 26382 55.886 * * [simplify]: Extracting #7: cost 0 inf + 27859 55.899 * [simplify]: Simplified to (fma -1/2 (log k) (/ (- (log (* n (* 2 PI))) (* (log (* n (* 2 PI))) k)) 2)) 55.899 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma -1/2 (log k) (/ (- (log (* n (* 2 PI))) (* (log (* n (* 2 PI))) k)) 2)))) 55.900 * * * * [progress]: [ 70 / 118 ] simplifiying candidate # 55.900 * [simplify]: Simplifying (+ (* (log k) -1/2) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 55.900 * * [simplify]: iters left: 6 (15 enodes) 55.908 * * [simplify]: iters left: 5 (66 enodes) 55.923 * * [simplify]: iters left: 4 (115 enodes) 55.944 * * [simplify]: iters left: 3 (227 enodes) 56.026 * * [simplify]: Extracting #0: cost 1 inf + 0 56.026 * * [simplify]: Extracting #1: cost 18 inf + 0 56.026 * * [simplify]: Extracting #2: cost 71 inf + 1 56.027 * * [simplify]: Extracting #3: cost 115 inf + 147 56.029 * * [simplify]: Extracting #4: cost 122 inf + 1865 56.034 * * [simplify]: Extracting #5: cost 56 inf + 13675 56.044 * * [simplify]: Extracting #6: cost 5 inf + 26382 56.050 * * [simplify]: Extracting #7: cost 0 inf + 27859 56.057 * [simplify]: Simplified to (fma -1/2 (log k) (/ (- (log (* n (* 2 PI))) (* (log (* n (* 2 PI))) k)) 2)) 56.057 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma -1/2 (log k) (/ (- (log (* n (* 2 PI))) (* (log (* n (* 2 PI))) k)) 2)))) 56.057 * * * * [progress]: [ 71 / 118 ] simplifiying candidate # 56.057 * [simplify]: Simplifying (+ (* (log k) -1/2) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 56.057 * * [simplify]: iters left: 6 (15 enodes) 56.062 * * [simplify]: iters left: 5 (65 enodes) 56.072 * * [simplify]: iters left: 4 (110 enodes) 56.100 * * [simplify]: iters left: 3 (212 enodes) 56.182 * * [simplify]: Extracting #0: cost 1 inf + 0 56.182 * * [simplify]: Extracting #1: cost 20 inf + 0 56.182 * * [simplify]: Extracting #2: cost 103 inf + 1 56.183 * * [simplify]: Extracting #3: cost 160 inf + 273 56.183 * * [simplify]: Extracting #4: cost 147 inf + 3244 56.187 * * [simplify]: Extracting #5: cost 68 inf + 21782 56.193 * * [simplify]: Extracting #6: cost 2 inf + 39785 56.202 * * [simplify]: Extracting #7: cost 0 inf + 38356 56.219 * * [simplify]: Extracting #8: cost 0 inf + 38238 56.233 * [simplify]: Simplified to (fma -1/2 (log k) (/ (- 1 k) (/ 2 (log (* n (* 2 PI)))))) 56.233 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma -1/2 (log k) (/ (- 1 k) (/ 2 (log (* n (* 2 PI)))))))) 56.233 * * * * [progress]: [ 72 / 118 ] simplifiying candidate # 56.233 * [simplify]: Simplifying (+ (* (log k) -1/2) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2))) 56.234 * * [simplify]: iters left: 6 (17 enodes) 56.244 * * [simplify]: iters left: 5 (69 enodes) 56.260 * * [simplify]: iters left: 4 (115 enodes) 56.287 * * [simplify]: iters left: 3 (301 enodes) 56.401 * * [simplify]: Extracting #0: cost 1 inf + 0 56.401 * * [simplify]: Extracting #1: cost 31 inf + 0 56.401 * * [simplify]: Extracting #2: cost 85 inf + 1 56.402 * * [simplify]: Extracting #3: cost 121 inf + 889 56.403 * * [simplify]: Extracting #4: cost 115 inf + 6054 56.414 * * [simplify]: Extracting #5: cost 24 inf + 32429 56.432 * * [simplify]: Extracting #6: cost 0 inf + 40563 56.449 * * [simplify]: Extracting #7: cost 0 inf + 40478 56.465 * [simplify]: Simplified to (fma (log k) -1/2 (/ (- (+ (log n) (+ (log 2) (log PI))) (* (+ (log n) (+ (log 2) (log PI))) k)) 2)) 56.465 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log k) -1/2 (/ (- (+ (log n) (+ (log 2) (log PI))) (* (+ (log n) (+ (log 2) (log PI))) k)) 2)))) 56.465 * * * * [progress]: [ 73 / 118 ] simplifiying candidate # 56.465 * [simplify]: Simplifying (+ (* (log k) -1/2) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))) 56.465 * * [simplify]: iters left: 6 (16 enodes) 56.470 * * [simplify]: iters left: 5 (67 enodes) 56.481 * * [simplify]: iters left: 4 (108 enodes) 56.506 * * [simplify]: iters left: 3 (240 enodes) 56.602 * * [simplify]: Extracting #0: cost 1 inf + 0 56.602 * * [simplify]: Extracting #1: cost 25 inf + 0 56.603 * * [simplify]: Extracting #2: cost 74 inf + 1 56.603 * * [simplify]: Extracting #3: cost 112 inf + 290 56.605 * * [simplify]: Extracting #4: cost 109 inf + 3635 56.612 * * [simplify]: Extracting #5: cost 45 inf + 18404 56.624 * * [simplify]: Extracting #6: cost 10 inf + 29492 56.638 * * [simplify]: Extracting #7: cost 0 inf + 32387 56.652 * [simplify]: Simplified to (fma -1/2 (log k) (/ (- (+ (log n) (log (* 2 PI))) (* k (+ (log n) (log (* 2 PI))))) 2)) 56.652 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma -1/2 (log k) (/ (- (+ (log n) (log (* 2 PI))) (* k (+ (log n) (log (* 2 PI))))) 2)))) 56.652 * * * * [progress]: [ 74 / 118 ] simplifiying candidate # 56.653 * [simplify]: Simplifying (+ (* (log k) -1/2) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 56.653 * * [simplify]: iters left: 6 (15 enodes) 56.661 * * [simplify]: iters left: 5 (66 enodes) 56.684 * * [simplify]: iters left: 4 (115 enodes) 56.722 * * [simplify]: iters left: 3 (227 enodes) 56.800 * * [simplify]: Extracting #0: cost 1 inf + 0 56.800 * * [simplify]: Extracting #1: cost 18 inf + 0 56.801 * * [simplify]: Extracting #2: cost 71 inf + 1 56.801 * * [simplify]: Extracting #3: cost 115 inf + 147 56.803 * * [simplify]: Extracting #4: cost 122 inf + 1865 56.807 * * [simplify]: Extracting #5: cost 56 inf + 13675 56.819 * * [simplify]: Extracting #6: cost 5 inf + 26382 56.835 * * [simplify]: Extracting #7: cost 0 inf + 27859 56.847 * [simplify]: Simplified to (fma -1/2 (log k) (/ (- (log (* n (* 2 PI))) (* (log (* n (* 2 PI))) k)) 2)) 56.847 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma -1/2 (log k) (/ (- (log (* n (* 2 PI))) (* (log (* n (* 2 PI))) k)) 2)))) 56.847 * * * * [progress]: [ 75 / 118 ] simplifiying candidate # 56.848 * [simplify]: Simplifying (+ (* (log k) -1/2) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 56.848 * * [simplify]: iters left: 6 (15 enodes) 56.852 * * [simplify]: iters left: 5 (66 enodes) 56.863 * * [simplify]: iters left: 4 (115 enodes) 56.889 * * [simplify]: iters left: 3 (227 enodes) 56.971 * * [simplify]: Extracting #0: cost 1 inf + 0 56.971 * * [simplify]: Extracting #1: cost 18 inf + 0 56.971 * * [simplify]: Extracting #2: cost 71 inf + 1 56.972 * * [simplify]: Extracting #3: cost 115 inf + 147 56.973 * * [simplify]: Extracting #4: cost 122 inf + 1865 56.978 * * [simplify]: Extracting #5: cost 56 inf + 13675 56.989 * * [simplify]: Extracting #6: cost 5 inf + 26382 57.002 * * [simplify]: Extracting #7: cost 0 inf + 27859 57.014 * [simplify]: Simplified to (fma -1/2 (log k) (/ (- (log (* n (* 2 PI))) (* (log (* n (* 2 PI))) k)) 2)) 57.014 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma -1/2 (log k) (/ (- (log (* n (* 2 PI))) (* (log (* n (* 2 PI))) k)) 2)))) 57.015 * * * * [progress]: [ 76 / 118 ] simplifiying candidate # 57.015 * [simplify]: Simplifying (+ (* (log k) -1/2) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 57.015 * * [simplify]: iters left: 6 (15 enodes) 57.024 * * [simplify]: iters left: 5 (65 enodes) 57.049 * * [simplify]: iters left: 4 (110 enodes) 57.085 * * [simplify]: iters left: 3 (212 enodes) 57.176 * * [simplify]: Extracting #0: cost 1 inf + 0 57.176 * * [simplify]: Extracting #1: cost 20 inf + 0 57.176 * * [simplify]: Extracting #2: cost 103 inf + 1 57.177 * * [simplify]: Extracting #3: cost 160 inf + 273 57.179 * * [simplify]: Extracting #4: cost 147 inf + 3244 57.188 * * [simplify]: Extracting #5: cost 68 inf + 21782 57.202 * * [simplify]: Extracting #6: cost 2 inf + 39785 57.210 * * [simplify]: Extracting #7: cost 0 inf + 38356 57.217 * * [simplify]: Extracting #8: cost 0 inf + 38238 57.223 * [simplify]: Simplified to (fma -1/2 (log k) (/ (- 1 k) (/ 2 (log (* n (* 2 PI)))))) 57.223 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma -1/2 (log k) (/ (- 1 k) (/ 2 (log (* n (* 2 PI)))))))) 57.224 * * * * [progress]: [ 77 / 118 ] simplifiying candidate # 57.224 * [simplify]: Simplifying (+ (log (pow k -1/2)) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2))) 57.224 * * [simplify]: iters left: 6 (17 enodes) 57.229 * * [simplify]: iters left: 5 (73 enodes) 57.244 * * [simplify]: iters left: 4 (136 enodes) 57.305 * * [simplify]: iters left: 3 (357 enodes) 57.474 * * [simplify]: Extracting #0: cost 1 inf + 0 57.474 * * [simplify]: Extracting #1: cost 36 inf + 0 57.475 * * [simplify]: Extracting #2: cost 115 inf + 2 57.476 * * [simplify]: Extracting #3: cost 162 inf + 1363 57.479 * * [simplify]: Extracting #4: cost 151 inf + 7927 57.493 * * [simplify]: Extracting #5: cost 44 inf + 38787 57.517 * * [simplify]: Extracting #6: cost 2 inf + 56101 57.528 * * [simplify]: Extracting #7: cost 0 inf + 56418 57.538 * * [simplify]: Extracting #8: cost 0 inf + 56413 57.555 * * [simplify]: Extracting #9: cost 0 inf + 56411 57.577 * [simplify]: Simplified to (fma -1/2 (log k) (/ (- (+ (log n) (+ (log 2) (log PI))) (* (+ (log n) (+ (log 2) (log PI))) k)) 2)) 57.577 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma -1/2 (log k) (/ (- (+ (log n) (+ (log 2) (log PI))) (* (+ (log n) (+ (log 2) (log PI))) k)) 2)))) 57.577 * * * * [progress]: [ 78 / 118 ] simplifiying candidate # 57.578 * [simplify]: Simplifying (+ (log (pow k -1/2)) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))) 57.578 * * [simplify]: iters left: 6 (16 enodes) 57.588 * * [simplify]: iters left: 5 (71 enodes) 57.613 * * [simplify]: iters left: 4 (129 enodes) 57.665 * * [simplify]: iters left: 3 (302 enodes) 57.763 * * [simplify]: Extracting #0: cost 1 inf + 0 57.763 * * [simplify]: Extracting #1: cost 28 inf + 0 57.764 * * [simplify]: Extracting #2: cost 92 inf + 2 57.765 * * [simplify]: Extracting #3: cost 140 inf + 584 57.767 * * [simplify]: Extracting #4: cost 137 inf + 5441 57.775 * * [simplify]: Extracting #5: cost 63 inf + 23424 57.789 * * [simplify]: Extracting #6: cost 12 inf + 39220 57.806 * * [simplify]: Extracting #7: cost 0 inf + 43126 57.825 * * [simplify]: Extracting #8: cost 0 inf + 43123 57.845 * [simplify]: Simplified to (fma (log k) -1/2 (/ (- (+ (log n) (log (* 2 PI))) (* k (+ (log n) (log (* 2 PI))))) 2)) 57.845 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log k) -1/2 (/ (- (+ (log n) (log (* 2 PI))) (* k (+ (log n) (log (* 2 PI))))) 2)))) 57.846 * * * * [progress]: [ 79 / 118 ] simplifiying candidate # 57.846 * [simplify]: Simplifying (+ (log (pow k -1/2)) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 57.846 * * [simplify]: iters left: 6 (15 enodes) 57.855 * * [simplify]: iters left: 5 (70 enodes) 57.880 * * [simplify]: iters left: 4 (136 enodes) 57.922 * * [simplify]: iters left: 3 (288 enodes) 58.011 * * [simplify]: Extracting #0: cost 1 inf + 0 58.011 * * [simplify]: Extracting #1: cost 21 inf + 0 58.012 * * [simplify]: Extracting #2: cost 86 inf + 2 58.013 * * [simplify]: Extracting #3: cost 141 inf + 118 58.015 * * [simplify]: Extracting #4: cost 142 inf + 4927 58.020 * * [simplify]: Extracting #5: cost 71 inf + 19695 58.027 * * [simplify]: Extracting #6: cost 1 inf + 37747 58.034 * * [simplify]: Extracting #7: cost 0 inf + 37320 58.045 * [simplify]: Simplified to (fma (log k) -1/2 (/ (- (log (* n (* 2 PI))) (* (log (* n (* 2 PI))) k)) 2)) 58.045 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log k) -1/2 (/ (- (log (* n (* 2 PI))) (* (log (* n (* 2 PI))) k)) 2)))) 58.045 * * * * [progress]: [ 80 / 118 ] simplifiying candidate # 58.045 * [simplify]: Simplifying (+ (log (pow k -1/2)) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 58.045 * * [simplify]: iters left: 6 (15 enodes) 58.050 * * [simplify]: iters left: 5 (70 enodes) 58.073 * * [simplify]: iters left: 4 (136 enodes) 58.124 * * [simplify]: iters left: 3 (288 enodes) 58.230 * * [simplify]: Extracting #0: cost 1 inf + 0 58.230 * * [simplify]: Extracting #1: cost 21 inf + 0 58.231 * * [simplify]: Extracting #2: cost 86 inf + 2 58.232 * * [simplify]: Extracting #3: cost 141 inf + 118 58.233 * * [simplify]: Extracting #4: cost 142 inf + 4927 58.240 * * [simplify]: Extracting #5: cost 71 inf + 19695 58.253 * * [simplify]: Extracting #6: cost 1 inf + 37747 58.268 * * [simplify]: Extracting #7: cost 0 inf + 37320 58.287 * [simplify]: Simplified to (fma (log k) -1/2 (/ (- (log (* n (* 2 PI))) (* (log (* n (* 2 PI))) k)) 2)) 58.287 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log k) -1/2 (/ (- (log (* n (* 2 PI))) (* (log (* n (* 2 PI))) k)) 2)))) 58.287 * * * * [progress]: [ 81 / 118 ] simplifiying candidate # 58.288 * [simplify]: Simplifying (+ (log (pow k -1/2)) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 58.288 * * [simplify]: iters left: 6 (15 enodes) 58.295 * * [simplify]: iters left: 5 (69 enodes) 58.308 * * [simplify]: iters left: 4 (135 enodes) 58.339 * * [simplify]: iters left: 3 (275 enodes) 58.430 * * [simplify]: Extracting #0: cost 1 inf + 0 58.430 * * [simplify]: Extracting #1: cost 25 inf + 0 58.431 * * [simplify]: Extracting #2: cost 127 inf + 2 58.432 * * [simplify]: Extracting #3: cost 187 inf + 798 58.435 * * [simplify]: Extracting #4: cost 142 inf + 12459 58.445 * * [simplify]: Extracting #5: cost 52 inf + 31902 58.460 * * [simplify]: Extracting #6: cost 8 inf + 45156 58.477 * * [simplify]: Extracting #7: cost 0 inf + 49407 58.493 * [simplify]: Simplified to (fma (log (* n (* 2 PI))) (/ (- 1 k) 2) (* (log k) -1/2)) 58.494 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log (* n (* 2 PI))) (/ (- 1 k) 2) (* (log k) -1/2)))) 58.494 * * * * [progress]: [ 82 / 118 ] simplifiying candidate # 58.494 * * * * [progress]: [ 83 / 118 ] simplifiying candidate # 58.494 * * * * [progress]: [ 84 / 118 ] simplifiying candidate # 58.494 * [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)))) 58.494 * * [simplify]: iters left: 6 (17 enodes) 58.509 * * [simplify]: iters left: 5 (82 enodes) 58.531 * * [simplify]: iters left: 4 (187 enodes) 58.618 * * [simplify]: Extracting #0: cost 1 inf + 0 58.618 * * [simplify]: Extracting #1: cost 36 inf + 0 58.619 * * [simplify]: Extracting #2: cost 147 inf + 1 58.620 * * [simplify]: Extracting #3: cost 161 inf + 2071 58.621 * * [simplify]: Extracting #4: cost 151 inf + 4860 58.626 * * [simplify]: Extracting #5: cost 101 inf + 20649 58.635 * * [simplify]: Extracting #6: cost 13 inf + 77646 58.645 * * [simplify]: Extracting #7: cost 0 inf + 88763 58.656 * * [simplify]: Extracting #8: cost 0 inf + 88685 58.674 * [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)))) 58.674 * [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)))))) 58.675 * * * * [progress]: [ 85 / 118 ] simplifiying candidate # 58.675 * * * * [progress]: [ 86 / 118 ] simplifiying candidate # 58.675 * * * * [progress]: [ 87 / 118 ] simplifiying candidate # 58.675 * * * * [progress]: [ 88 / 118 ] simplifiying candidate # 58.675 * * * * [progress]: [ 89 / 118 ] simplifiying candidate # 58.675 * [simplify]: Simplifying (* (pow (sqrt k) -1/2) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 58.675 * * [simplify]: iters left: 6 (15 enodes) 58.684 * * [simplify]: iters left: 5 (65 enodes) 58.707 * * [simplify]: iters left: 4 (111 enodes) 58.737 * * [simplify]: iters left: 3 (190 enodes) 58.789 * * [simplify]: iters left: 2 (358 enodes) 58.906 * * [simplify]: Extracting #0: cost 1 inf + 0 58.906 * * [simplify]: Extracting #1: cost 22 inf + 0 58.906 * * [simplify]: Extracting #2: cost 80 inf + 0 58.907 * * [simplify]: Extracting #3: cost 92 inf + 7 58.908 * * [simplify]: Extracting #4: cost 138 inf + 1270 58.909 * * [simplify]: Extracting #5: cost 139 inf + 7272 58.911 * * [simplify]: Extracting #6: cost 94 inf + 17137 58.914 * * [simplify]: Extracting #7: cost 57 inf + 28500 58.924 * * [simplify]: Extracting #8: cost 8 inf + 67044 58.934 * * [simplify]: Extracting #9: cost 0 inf + 74980 58.943 * [simplify]: Simplified to (* (pow (sqrt k) -1/2) (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))) 58.943 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (sqrt k) -1/2) (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))) (* (pow (sqrt k) -1/2) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 58.943 * [simplify]: Simplifying (* (pow (sqrt k) -1/2) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 58.943 * * [simplify]: iters left: 6 (15 enodes) 58.948 * * [simplify]: iters left: 5 (65 enodes) 58.961 * * [simplify]: iters left: 4 (111 enodes) 58.992 * * [simplify]: iters left: 3 (190 enodes) 59.067 * * [simplify]: iters left: 2 (358 enodes) 59.184 * * [simplify]: Extracting #0: cost 1 inf + 0 59.184 * * [simplify]: Extracting #1: cost 22 inf + 0 59.185 * * [simplify]: Extracting #2: cost 80 inf + 0 59.185 * * [simplify]: Extracting #3: cost 92 inf + 7 59.186 * * [simplify]: Extracting #4: cost 138 inf + 1270 59.188 * * [simplify]: Extracting #5: cost 139 inf + 7272 59.193 * * [simplify]: Extracting #6: cost 94 inf + 17137 59.199 * * [simplify]: Extracting #7: cost 57 inf + 28500 59.214 * * [simplify]: Extracting #8: cost 8 inf + 67044 59.232 * * [simplify]: Extracting #9: cost 0 inf + 74980 59.251 * [simplify]: Simplified to (* (pow (sqrt k) -1/2) (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))) 59.251 * [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 (* 2 (* n PI)) (/ (- 1 k) 2)))))) 59.251 * * * * [progress]: [ 90 / 118 ] simplifiying candidate # 59.252 * [simplify]: Simplifying (* (pow (sqrt k) -1/2) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 59.252 * * [simplify]: iters left: 6 (15 enodes) 59.261 * * [simplify]: iters left: 5 (68 enodes) 59.289 * * [simplify]: iters left: 4 (125 enodes) 59.336 * * [simplify]: iters left: 3 (246 enodes) 59.434 * * [simplify]: Extracting #0: cost 1 inf + 0 59.434 * * [simplify]: Extracting #1: cost 32 inf + 0 59.435 * * [simplify]: Extracting #2: cost 114 inf + 0 59.435 * * [simplify]: Extracting #3: cost 148 inf + 5 59.437 * * [simplify]: Extracting #4: cost 145 inf + 1442 59.441 * * [simplify]: Extracting #5: cost 84 inf + 22762 59.455 * * [simplify]: Extracting #6: cost 8 inf + 70872 59.473 * * [simplify]: Extracting #7: cost 0 inf + 73751 59.490 * [simplify]: Simplified to (* (pow (sqrt k) -1/2) (pow (* n (* 2 PI)) (/ (- 1 k) 4))) 59.490 * [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))))) 59.490 * [simplify]: Simplifying (* (pow (sqrt k) -1/2) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 59.490 * * [simplify]: iters left: 6 (15 enodes) 59.500 * * [simplify]: iters left: 5 (68 enodes) 59.525 * * [simplify]: iters left: 4 (125 enodes) 59.577 * * [simplify]: iters left: 3 (246 enodes) 59.668 * * [simplify]: Extracting #0: cost 1 inf + 0 59.668 * * [simplify]: Extracting #1: cost 32 inf + 0 59.669 * * [simplify]: Extracting #2: cost 114 inf + 0 59.669 * * [simplify]: Extracting #3: cost 148 inf + 5 59.670 * * [simplify]: Extracting #4: cost 145 inf + 1442 59.672 * * [simplify]: Extracting #5: cost 84 inf + 22762 59.679 * * [simplify]: Extracting #6: cost 8 inf + 70872 59.688 * * [simplify]: Extracting #7: cost 0 inf + 73751 59.705 * [simplify]: Simplified to (* (pow (sqrt k) -1/2) (pow (* n (* 2 PI)) (/ (- 1 k) 4))) 59.705 * [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))))) 59.706 * * * * [progress]: [ 91 / 118 ] simplifiying candidate # 59.706 * [simplify]: Simplifying (* (sqrt (pow k -1/2)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 59.706 * * [simplify]: iters left: 6 (15 enodes) 59.714 * * [simplify]: iters left: 5 (65 enodes) 59.737 * * [simplify]: iters left: 4 (108 enodes) 59.763 * * [simplify]: iters left: 3 (179 enodes) 59.795 * * [simplify]: iters left: 2 (315 enodes) 59.916 * * [simplify]: Extracting #0: cost 1 inf + 0 59.916 * * [simplify]: Extracting #1: cost 4 inf + 0 59.916 * * [simplify]: Extracting #2: cost 10 inf + 0 59.916 * * [simplify]: Extracting #3: cost 40 inf + 0 59.917 * * [simplify]: Extracting #4: cost 114 inf + 4 59.917 * * [simplify]: Extracting #5: cost 108 inf + 5572 59.920 * * [simplify]: Extracting #6: cost 53 inf + 18240 59.923 * * [simplify]: Extracting #7: cost 12 inf + 34249 59.929 * * [simplify]: Extracting #8: cost 1 inf + 41351 59.934 * * [simplify]: Extracting #9: cost 0 inf + 41452 59.939 * * [simplify]: Extracting #10: cost 0 inf + 41330 59.944 * [simplify]: Simplified to (* (sqrt (pow k -1/2)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 59.944 * [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)))))) 59.944 * [simplify]: Simplifying (* (sqrt (pow k -1/2)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 59.944 * * [simplify]: iters left: 6 (15 enodes) 59.949 * * [simplify]: iters left: 5 (65 enodes) 59.962 * * [simplify]: iters left: 4 (108 enodes) 60.003 * * [simplify]: iters left: 3 (179 enodes) 60.065 * * [simplify]: iters left: 2 (315 enodes) 60.156 * * [simplify]: Extracting #0: cost 1 inf + 0 60.156 * * [simplify]: Extracting #1: cost 4 inf + 0 60.156 * * [simplify]: Extracting #2: cost 10 inf + 0 60.156 * * [simplify]: Extracting #3: cost 40 inf + 0 60.156 * * [simplify]: Extracting #4: cost 114 inf + 4 60.157 * * [simplify]: Extracting #5: cost 108 inf + 5572 60.159 * * [simplify]: Extracting #6: cost 53 inf + 18240 60.163 * * [simplify]: Extracting #7: cost 12 inf + 34249 60.168 * * [simplify]: Extracting #8: cost 1 inf + 41351 60.173 * * [simplify]: Extracting #9: cost 0 inf + 41452 60.178 * * [simplify]: Extracting #10: cost 0 inf + 41330 60.183 * [simplify]: Simplified to (* (sqrt (pow k -1/2)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 60.183 * [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)))))) 60.183 * * * * [progress]: [ 92 / 118 ] simplifiying candidate # 60.184 * [simplify]: Simplifying (* (sqrt (pow k -1/2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 60.184 * * [simplify]: iters left: 6 (15 enodes) 60.189 * * [simplify]: iters left: 5 (68 enodes) 60.215 * * [simplify]: iters left: 4 (118 enodes) 60.257 * * [simplify]: iters left: 3 (208 enodes) 60.324 * * [simplify]: iters left: 2 (412 enodes) 60.430 * * [simplify]: Extracting #0: cost 1 inf + 0 60.430 * * [simplify]: Extracting #1: cost 36 inf + 0 60.431 * * [simplify]: Extracting #2: cost 106 inf + 0 60.431 * * [simplify]: Extracting #3: cost 169 inf + 2 60.432 * * [simplify]: Extracting #4: cost 193 inf + 984 60.433 * * [simplify]: Extracting #5: cost 145 inf + 9064 60.439 * * [simplify]: Extracting #6: cost 49 inf + 51280 60.451 * * [simplify]: Extracting #7: cost 4 inf + 89226 60.470 * * [simplify]: Extracting #8: cost 0 inf + 92777 60.494 * * [simplify]: Extracting #9: cost 0 inf + 92654 60.518 * [simplify]: Simplified to (* (sqrt (pow k -1/2)) (pow (* n (* 2 PI)) (/ (- 1 k) 4))) 60.518 * [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))))) 60.519 * [simplify]: Simplifying (* (sqrt (pow k -1/2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 60.519 * * [simplify]: iters left: 6 (15 enodes) 60.525 * * [simplify]: iters left: 5 (68 enodes) 60.540 * * [simplify]: iters left: 4 (118 enodes) 60.564 * * [simplify]: iters left: 3 (208 enodes) 60.620 * * [simplify]: iters left: 2 (412 enodes) 60.778 * * [simplify]: Extracting #0: cost 1 inf + 0 60.778 * * [simplify]: Extracting #1: cost 36 inf + 0 60.778 * * [simplify]: Extracting #2: cost 106 inf + 0 60.778 * * [simplify]: Extracting #3: cost 169 inf + 2 60.779 * * [simplify]: Extracting #4: cost 193 inf + 984 60.781 * * [simplify]: Extracting #5: cost 145 inf + 9064 60.786 * * [simplify]: Extracting #6: cost 49 inf + 51280 60.801 * * [simplify]: Extracting #7: cost 4 inf + 89226 60.814 * * [simplify]: Extracting #8: cost 0 inf + 92777 60.827 * * [simplify]: Extracting #9: cost 0 inf + 92654 60.849 * [simplify]: Simplified to (* (sqrt (pow k -1/2)) (pow (* n (* 2 PI)) (/ (- 1 k) 4))) 60.849 * [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))))) 60.849 * * * * [progress]: [ 93 / 118 ] simplifiying candidate # 60.849 * [simplify]: Simplifying (* (pow k (/ -1/2 2)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 60.849 * * [simplify]: iters left: 6 (15 enodes) 60.859 * * [simplify]: iters left: 5 (66 enodes) 60.874 * * [simplify]: iters left: 4 (117 enodes) 60.903 * * [simplify]: iters left: 3 (207 enodes) 60.968 * * [simplify]: iters left: 2 (392 enodes) 61.096 * * [simplify]: Extracting #0: cost 1 inf + 0 61.097 * * [simplify]: Extracting #1: cost 27 inf + 0 61.097 * * [simplify]: Extracting #2: cost 83 inf + 0 61.097 * * [simplify]: Extracting #3: cost 93 inf + 8 61.098 * * [simplify]: Extracting #4: cost 128 inf + 6175 61.099 * * [simplify]: Extracting #5: cost 131 inf + 13135 61.102 * * [simplify]: Extracting #6: cost 67 inf + 36717 61.109 * * [simplify]: Extracting #7: cost 14 inf + 64855 61.118 * * [simplify]: Extracting #8: cost 0 inf + 76373 61.127 * * [simplify]: Extracting #9: cost 0 inf + 75718 61.136 * * [simplify]: Extracting #10: cost 0 inf + 75456 61.150 * [simplify]: Simplified to (* (pow k -1/4) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) 61.150 * [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)))))) 61.150 * [simplify]: Simplifying (* (pow k (/ -1/2 2)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 61.151 * * [simplify]: iters left: 6 (15 enodes) 61.163 * * [simplify]: iters left: 5 (66 enodes) 61.188 * * [simplify]: iters left: 4 (117 enodes) 61.230 * * [simplify]: iters left: 3 (207 enodes) 61.276 * * [simplify]: iters left: 2 (392 enodes) 61.405 * * [simplify]: Extracting #0: cost 1 inf + 0 61.405 * * [simplify]: Extracting #1: cost 27 inf + 0 61.406 * * [simplify]: Extracting #2: cost 83 inf + 0 61.406 * * [simplify]: Extracting #3: cost 93 inf + 8 61.407 * * [simplify]: Extracting #4: cost 128 inf + 6175 61.409 * * [simplify]: Extracting #5: cost 131 inf + 13135 61.415 * * [simplify]: Extracting #6: cost 67 inf + 36717 61.424 * * [simplify]: Extracting #7: cost 14 inf + 64855 61.433 * * [simplify]: Extracting #8: cost 0 inf + 76373 61.441 * * [simplify]: Extracting #9: cost 0 inf + 75718 61.453 * * [simplify]: Extracting #10: cost 0 inf + 75456 61.470 * [simplify]: Simplified to (* (pow k -1/4) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) 61.470 * [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))))))) 61.471 * * * * [progress]: [ 94 / 118 ] simplifiying candidate # 61.471 * [simplify]: Simplifying (* (pow k (/ -1/2 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 61.471 * * [simplify]: iters left: 6 (15 enodes) 61.482 * * [simplify]: iters left: 5 (69 enodes) 61.511 * * [simplify]: iters left: 4 (131 enodes) 61.542 * * [simplify]: iters left: 3 (262 enodes) 61.645 * * [simplify]: Extracting #0: cost 1 inf + 0 61.645 * * [simplify]: Extracting #1: cost 32 inf + 0 61.646 * * [simplify]: Extracting #2: cost 113 inf + 0 61.646 * * [simplify]: Extracting #3: cost 145 inf + 6 61.647 * * [simplify]: Extracting #4: cost 131 inf + 4394 61.650 * * [simplify]: Extracting #5: cost 59 inf + 34433 61.658 * * [simplify]: Extracting #6: cost 4 inf + 65966 61.672 * * [simplify]: Extracting #7: cost 0 inf + 69228 61.680 * [simplify]: Simplified to (* (pow k -1/4) (pow (* n (* 2 PI)) (/ (- 1 k) 4))) 61.680 * [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))))) 61.680 * [simplify]: Simplifying (* (pow k (/ -1/2 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 61.680 * * [simplify]: iters left: 6 (15 enodes) 61.686 * * [simplify]: iters left: 5 (69 enodes) 61.702 * * [simplify]: iters left: 4 (131 enodes) 61.735 * * [simplify]: iters left: 3 (262 enodes) 61.833 * * [simplify]: Extracting #0: cost 1 inf + 0 61.833 * * [simplify]: Extracting #1: cost 32 inf + 0 61.834 * * [simplify]: Extracting #2: cost 113 inf + 0 61.834 * * [simplify]: Extracting #3: cost 145 inf + 6 61.836 * * [simplify]: Extracting #4: cost 131 inf + 4394 61.843 * * [simplify]: Extracting #5: cost 59 inf + 34433 61.857 * * [simplify]: Extracting #6: cost 4 inf + 65966 61.872 * * [simplify]: Extracting #7: cost 0 inf + 69228 61.888 * [simplify]: Simplified to (* (pow k -1/4) (pow (* n (* 2 PI)) (/ (- 1 k) 4))) 61.888 * [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))))) 61.888 * * * * [progress]: [ 95 / 118 ] simplifiying candidate # 61.889 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 61.889 * * [simplify]: iters left: 5 (7 enodes) 61.894 * * [simplify]: iters left: 4 (32 enodes) 61.906 * * [simplify]: iters left: 3 (57 enodes) 61.924 * * [simplify]: iters left: 2 (88 enodes) 61.956 * * [simplify]: iters left: 1 (156 enodes) 61.997 * * [simplify]: Extracting #0: cost 1 inf + 0 61.997 * * [simplify]: Extracting #1: cost 13 inf + 0 61.997 * * [simplify]: Extracting #2: cost 49 inf + 2 61.997 * * [simplify]: Extracting #3: cost 80 inf + 6 61.999 * * [simplify]: Extracting #4: cost 58 inf + 1840 62.002 * * [simplify]: Extracting #5: cost 22 inf + 9206 62.007 * * [simplify]: Extracting #6: cost 1 inf + 20886 62.013 * * [simplify]: Extracting #7: cost 0 inf + 21301 62.019 * * [simplify]: Extracting #8: cost 0 inf + 21130 62.025 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 62.025 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow k -1/2) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 62.025 * * * * [progress]: [ 96 / 118 ] simplifiying candidate # 62.025 * [simplify]: Simplifying (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 62.025 * * [simplify]: iters left: 6 (11 enodes) 62.028 * * [simplify]: iters left: 5 (48 enodes) 62.036 * * [simplify]: iters left: 4 (77 enodes) 62.051 * * [simplify]: iters left: 3 (118 enodes) 62.092 * * [simplify]: iters left: 2 (206 enodes) 62.147 * * [simplify]: iters left: 1 (372 enodes) 62.325 * * [simplify]: Extracting #0: cost 1 inf + 0 62.325 * * [simplify]: Extracting #1: cost 3 inf + 0 62.325 * * [simplify]: Extracting #2: cost 27 inf + 0 62.326 * * [simplify]: Extracting #3: cost 104 inf + 1 62.327 * * [simplify]: Extracting #4: cost 163 inf + 176 62.329 * * [simplify]: Extracting #5: cost 158 inf + 478 62.333 * * [simplify]: Extracting #6: cost 99 inf + 10661 62.345 * * [simplify]: Extracting #7: cost 36 inf + 32713 62.369 * * [simplify]: Extracting #8: cost 0 inf + 58050 62.387 * [simplify]: Simplified to (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) 62.389 * [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)))))) 62.390 * * * * [progress]: [ 97 / 118 ] simplifiying candidate # 62.390 * [simplify]: Simplifying (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 62.390 * * [simplify]: iters left: 6 (11 enodes) 62.393 * * [simplify]: iters left: 5 (48 enodes) 62.402 * * [simplify]: iters left: 4 (78 enodes) 62.420 * * [simplify]: iters left: 3 (119 enodes) 62.456 * * [simplify]: iters left: 2 (210 enodes) 62.515 * * [simplify]: iters left: 1 (385 enodes) 62.671 * * [simplify]: Extracting #0: cost 1 inf + 0 62.671 * * [simplify]: Extracting #1: cost 4 inf + 0 62.672 * * [simplify]: Extracting #2: cost 31 inf + 0 62.672 * * [simplify]: Extracting #3: cost 113 inf + 1 62.673 * * [simplify]: Extracting #4: cost 153 inf + 178 62.675 * * [simplify]: Extracting #5: cost 144 inf + 1185 62.680 * * [simplify]: Extracting #6: cost 79 inf + 10570 62.696 * * [simplify]: Extracting #7: cost 13 inf + 47373 62.721 * * [simplify]: Extracting #8: cost 0 inf + 58801 62.732 * [simplify]: Simplified to (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 62.732 * [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))))) 62.732 * * * * [progress]: [ 98 / 118 ] simplifiying candidate # 62.732 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ (- 1 k) 2)) 62.732 * * [simplify]: iters left: 5 (10 enodes) 62.735 * * [simplify]: iters left: 4 (45 enodes) 62.743 * * [simplify]: iters left: 3 (78 enodes) 62.758 * * [simplify]: iters left: 2 (118 enodes) 62.792 * * [simplify]: iters left: 1 (191 enodes) 62.851 * * [simplify]: Extracting #0: cost 1 inf + 0 62.851 * * [simplify]: Extracting #1: cost 13 inf + 0 62.851 * * [simplify]: Extracting #2: cost 59 inf + 1 62.852 * * [simplify]: Extracting #3: cost 91 inf + 7 62.852 * * [simplify]: Extracting #4: cost 83 inf + 556 62.854 * * [simplify]: Extracting #5: cost 33 inf + 11764 62.858 * * [simplify]: Extracting #6: cost 0 inf + 23469 62.862 * * [simplify]: Extracting #7: cost 0 inf + 23146 62.867 * [simplify]: Simplified to (pow (* (* 2 PI) n) (/ (- 1 k) 2)) 62.867 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow k -1/2) 1) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 62.867 * * * * [progress]: [ 99 / 118 ] simplifiying candidate # 62.867 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) 62.867 * * [simplify]: iters left: 6 (11 enodes) 62.871 * * [simplify]: iters left: 5 (51 enodes) 62.886 * * [simplify]: iters left: 4 (87 enodes) 62.901 * * [simplify]: iters left: 3 (143 enodes) 62.942 * * [simplify]: iters left: 2 (259 enodes) 63.003 * * [simplify]: iters left: 1 (471 enodes) 63.182 * * [simplify]: Extracting #0: cost 1 inf + 0 63.182 * * [simplify]: Extracting #1: cost 24 inf + 0 63.183 * * [simplify]: Extracting #2: cost 119 inf + 1 63.185 * * [simplify]: Extracting #3: cost 203 inf + 137 63.187 * * [simplify]: Extracting #4: cost 200 inf + 729 63.192 * * [simplify]: Extracting #5: cost 123 inf + 9170 63.204 * * [simplify]: Extracting #6: cost 38 inf + 34270 63.226 * * [simplify]: Extracting #7: cost 6 inf + 59341 63.245 * * [simplify]: Extracting #8: cost 0 inf + 64938 63.259 * [simplify]: Simplified to (pow (* (* 2 PI) n) (* 1/4 (- 1 k))) 63.259 * [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))))) 63.259 * * * * [progress]: [ 100 / 118 ] simplifiying candidate # 63.259 * [simplify]: Simplifying (pow (* (cbrt k) (cbrt k)) -1/2) 63.259 * * [simplify]: iters left: 4 (5 enodes) 63.261 * * [simplify]: iters left: 3 (20 enodes) 63.265 * * [simplify]: iters left: 2 (34 enodes) 63.274 * * [simplify]: iters left: 1 (64 enodes) 63.297 * * [simplify]: Extracting #0: cost 1 inf + 0 63.297 * * [simplify]: Extracting #1: cost 9 inf + 0 63.297 * * [simplify]: Extracting #2: cost 23 inf + 1 63.297 * * [simplify]: Extracting #3: cost 22 inf + 5 63.297 * * [simplify]: Extracting #4: cost 18 inf + 169 63.298 * * [simplify]: Extracting #5: cost 9 inf + 3237 63.299 * * [simplify]: Extracting #6: cost 0 inf + 7611 63.300 * [simplify]: Simplified to (pow (* (cbrt k) (cbrt k)) -1/2) 63.300 * [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))))) 63.300 * * * * [progress]: [ 101 / 118 ] simplifiying candidate # 63.301 * [simplify]: Simplifying (pow (sqrt k) -1/2) 63.301 * * [simplify]: iters left: 2 (4 enodes) 63.303 * * [simplify]: iters left: 1 (17 enodes) 63.311 * * [simplify]: Extracting #0: cost 1 inf + 0 63.311 * * [simplify]: Extracting #1: cost 5 inf + 0 63.311 * * [simplify]: Extracting #2: cost 9 inf + 1 63.311 * * [simplify]: Extracting #3: cost 8 inf + 3 63.311 * * [simplify]: Extracting #4: cost 1 inf + 1094 63.311 * * [simplify]: Extracting #5: cost 0 inf + 1346 63.312 * [simplify]: Simplified to (pow (sqrt k) -1/2) 63.312 * [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))))) 63.312 * * * * [progress]: [ 102 / 118 ] simplifiying candidate # 63.312 * [simplify]: Simplifying (pow 1 -1/2) 63.312 * * [simplify]: iters left: 1 (3 enodes) 63.314 * * [simplify]: Extracting #0: cost 1 inf + 0 63.315 * * [simplify]: Extracting #1: cost 0 inf + 1 63.315 * [simplify]: Simplified to 1 63.315 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 63.315 * * * * [progress]: [ 103 / 118 ] simplifiying candidate # 63.315 * [simplify]: Simplifying (* (cbrt (pow k -1/2)) (cbrt (pow k -1/2))) 63.315 * * [simplify]: iters left: 4 (5 enodes) 63.318 * * [simplify]: iters left: 3 (20 enodes) 63.327 * * [simplify]: iters left: 2 (34 enodes) 63.341 * * [simplify]: iters left: 1 (64 enodes) 63.365 * * [simplify]: Extracting #0: cost 1 inf + 0 63.365 * * [simplify]: Extracting #1: cost 3 inf + 0 63.365 * * [simplify]: Extracting #2: cost 5 inf + 0 63.365 * * [simplify]: Extracting #3: cost 13 inf + 0 63.365 * * [simplify]: Extracting #4: cost 24 inf + 2 63.365 * * [simplify]: Extracting #5: cost 15 inf + 1558 63.366 * * [simplify]: Extracting #6: cost 6 inf + 4299 63.366 * * [simplify]: Extracting #7: cost 0 inf + 6535 63.367 * [simplify]: Simplified to (* (cbrt (pow k -1/2)) (cbrt (pow k -1/2))) 63.367 * [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))))) 63.368 * * * * [progress]: [ 104 / 118 ] simplifiying candidate # 63.368 * [simplify]: Simplifying (sqrt (pow k -1/2)) 63.368 * * [simplify]: iters left: 2 (4 enodes) 63.371 * * [simplify]: iters left: 1 (17 enodes) 63.378 * * [simplify]: Extracting #0: cost 1 inf + 0 63.379 * * [simplify]: Extracting #1: cost 4 inf + 0 63.379 * * [simplify]: Extracting #2: cost 10 inf + 0 63.379 * * [simplify]: Extracting #3: cost 8 inf + 3 63.379 * * [simplify]: Extracting #4: cost 1 inf + 1356 63.379 * * [simplify]: Extracting #5: cost 0 inf + 1568 63.379 * [simplify]: Simplified to (sqrt (pow k -1/2)) 63.379 * [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))))) 63.379 * * * * [progress]: [ 105 / 118 ] simplifiying candidate # 63.380 * * * * [progress]: [ 106 / 118 ] simplifiying candidate # 63.380 * [simplify]: Simplifying (pow k (/ -1/2 2)) 63.380 * * [simplify]: iters left: 3 (5 enodes) 63.384 * * [simplify]: iters left: 2 (20 enodes) 63.395 * * [simplify]: iters left: 1 (37 enodes) 63.404 * * [simplify]: Extracting #0: cost 1 inf + 0 63.404 * * [simplify]: Extracting #1: cost 9 inf + 0 63.404 * * [simplify]: Extracting #2: cost 12 inf + 2 63.404 * * [simplify]: Extracting #3: cost 7 inf + 852 63.405 * * [simplify]: Extracting #4: cost 0 inf + 2667 63.405 * [simplify]: Simplified to (pow k -1/4) 63.405 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow k -1/4) (* (pow k (/ -1/2 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 63.405 * * * * [progress]: [ 107 / 118 ] simplifiying candidate # 63.405 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ k 2)) 63.405 * * [simplify]: iters left: 5 (8 enodes) 63.407 * * [simplify]: iters left: 4 (31 enodes) 63.412 * * [simplify]: iters left: 3 (51 enodes) 63.421 * * [simplify]: iters left: 2 (85 enodes) 63.446 * * [simplify]: iters left: 1 (152 enodes) 63.502 * * [simplify]: Extracting #0: cost 1 inf + 0 63.502 * * [simplify]: Extracting #1: cost 13 inf + 0 63.503 * * [simplify]: Extracting #2: cost 60 inf + 1 63.503 * * [simplify]: Extracting #3: cost 76 inf + 51 63.504 * * [simplify]: Extracting #4: cost 44 inf + 2846 63.510 * * [simplify]: Extracting #5: cost 21 inf + 7590 63.515 * * [simplify]: Extracting #6: cost 1 inf + 20687 63.521 * * [simplify]: Extracting #7: cost 0 inf + 20539 63.526 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 63.526 * [simplify]: Simplified (2 2) to (λ (k n) (/ (* (pow k -1/2) (pow (* (* 2 PI) n) (/ 1 2))) (pow (* (* n 2) PI) (/ k 2)))) 63.526 * * * * [progress]: [ 108 / 118 ] simplifiying candidate #real (real->posit16 (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))> 63.526 * * * * [progress]: [ 109 / 118 ] simplifiying candidate # 63.526 * * * * [progress]: [ 110 / 118 ] simplifiying candidate # 63.527 * [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))))) 63.527 * * [simplify]: iters left: 6 (37 enodes) 63.546 * * [simplify]: iters left: 5 (190 enodes) 63.597 * * [simplify]: Extracting #0: cost 1 inf + 0 63.597 * * [simplify]: Extracting #1: cost 22 inf + 0 63.598 * * [simplify]: Extracting #2: cost 108 inf + 1 63.599 * * [simplify]: Extracting #3: cost 171 inf + 46 63.600 * * [simplify]: Extracting #4: cost 189 inf + 427 63.604 * * [simplify]: Extracting #5: cost 128 inf + 16032 63.624 * * [simplify]: Extracting #6: cost 29 inf + 57153 63.653 * * [simplify]: Extracting #7: cost 4 inf + 75884 63.685 * * [simplify]: Extracting #8: cost 0 inf + 78767 63.702 * [simplify]: Simplified to (fma (* (log (* PI 2)) 1/4) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k k) (log n))) (- (fma (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k (log n)) (* k (log n)))) 1/8 (fma (* (* 1/8 (log (* PI 2))) (log (* PI 2))) (* (* k k) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (exp (* (+ (log n) (log (* PI 2))) 1/2)))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) 1/2))) 63.702 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow k -1/2) (fma (* (log (* PI 2)) 1/4) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k k) (log n))) (- (fma (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k (log n)) (* k (log n)))) 1/8 (fma (* (* 1/8 (log (* PI 2))) (log (* PI 2))) (* (* k k) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (exp (* (+ (log n) (log (* PI 2))) 1/2)))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) 1/2))))) 63.702 * * * * [progress]: [ 111 / 118 ] simplifiying candidate # 63.702 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 63.702 * * [simplify]: iters left: 6 (15 enodes) 63.707 * * [simplify]: iters left: 5 (65 enodes) 63.718 * * [simplify]: iters left: 4 (123 enodes) 63.775 * * [simplify]: iters left: 3 (367 enodes) 63.943 * * [simplify]: Extracting #0: cost 1 inf + 0 63.943 * * [simplify]: Extracting #1: cost 37 inf + 0 63.944 * * [simplify]: Extracting #2: cost 216 inf + 72 63.946 * * [simplify]: Extracting #3: cost 356 inf + 1622 63.955 * * [simplify]: Extracting #4: cost 219 inf + 28945 63.968 * * [simplify]: Extracting #5: cost 21 inf + 83197 63.984 * * [simplify]: Extracting #6: cost 0 inf + 89881 64.002 * * [simplify]: Extracting #7: cost 0 inf + 89729 64.029 * * [simplify]: Extracting #8: cost 0 inf + 89726 64.045 * [simplify]: Simplified to (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) 64.045 * [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)))))) 64.045 * * * * [progress]: [ 112 / 118 ] simplifiying candidate # 64.045 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 64.045 * * [simplify]: iters left: 6 (16 enodes) 64.052 * * [simplify]: iters left: 5 (67 enodes) 64.076 * * [simplify]: iters left: 4 (134 enodes) 64.119 * * [simplify]: iters left: 3 (413 enodes) 64.373 * * [simplify]: Extracting #0: cost 1 inf + 0 64.373 * * [simplify]: Extracting #1: cost 39 inf + 0 64.373 * * [simplify]: Extracting #2: cost 241 inf + 72 64.375 * * [simplify]: Extracting #3: cost 450 inf + 903 64.378 * * [simplify]: Extracting #4: cost 376 inf + 10375 64.388 * * [simplify]: Extracting #5: cost 158 inf + 67083 64.425 * * [simplify]: Extracting #6: cost 12 inf + 118840 64.475 * * [simplify]: Extracting #7: cost 0 inf + 121984 64.501 * * [simplify]: Extracting #8: cost 0 inf + 121983 64.534 * [simplify]: Simplified to (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) 64.534 * [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))))))))) 64.534 * * * * [progress]: [ 113 / 118 ] simplifiying candidate # 64.534 * [simplify]: Simplifying (* 2 (* n PI)) 64.534 * * [simplify]: iters left: 4 (5 enodes) 64.536 * * [simplify]: iters left: 3 (19 enodes) 64.539 * * [simplify]: iters left: 2 (27 enodes) 64.545 * * [simplify]: iters left: 1 (32 enodes) 64.549 * * [simplify]: Extracting #0: cost 1 inf + 0 64.549 * * [simplify]: Extracting #1: cost 8 inf + 0 64.549 * * [simplify]: Extracting #2: cost 7 inf + 45 64.549 * * [simplify]: Extracting #3: cost 0 inf + 421 64.549 * [simplify]: Simplified to (* (* PI n) 2) 64.549 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (pow (* (* PI n) 2) (/ (- 1 k) 2)))) 64.549 * * * * [progress]: [ 114 / 118 ] simplifiying candidate # 64.549 * [simplify]: Simplifying (* 2 (* n PI)) 64.549 * * [simplify]: iters left: 4 (5 enodes) 64.551 * * [simplify]: iters left: 3 (19 enodes) 64.554 * * [simplify]: iters left: 2 (27 enodes) 64.558 * * [simplify]: iters left: 1 (32 enodes) 64.562 * * [simplify]: Extracting #0: cost 1 inf + 0 64.562 * * [simplify]: Extracting #1: cost 8 inf + 0 64.562 * * [simplify]: Extracting #2: cost 7 inf + 45 64.562 * * [simplify]: Extracting #3: cost 0 inf + 421 64.562 * [simplify]: Simplified to (* (* PI n) 2) 64.562 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (pow (* (* PI n) 2) (/ (- 1 k) 2)))) 64.562 * * * * [progress]: [ 115 / 118 ] simplifiying candidate # 64.562 * [simplify]: Simplifying (* 2 (* n PI)) 64.562 * * [simplify]: iters left: 4 (5 enodes) 64.564 * * [simplify]: iters left: 3 (19 enodes) 64.567 * * [simplify]: iters left: 2 (27 enodes) 64.571 * * [simplify]: iters left: 1 (32 enodes) 64.575 * * [simplify]: Extracting #0: cost 1 inf + 0 64.575 * * [simplify]: Extracting #1: cost 8 inf + 0 64.575 * * [simplify]: Extracting #2: cost 7 inf + 45 64.576 * * [simplify]: Extracting #3: cost 0 inf + 421 64.576 * [simplify]: Simplified to (* (* PI n) 2) 64.576 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (pow (* (* PI n) 2) (/ (- 1 k) 2)))) 64.576 * * * * [progress]: [ 116 / 118 ] simplifiying candidate # 64.576 * [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))))))))))))) 64.576 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 64.576 * * * * [progress]: [ 117 / 118 ] simplifiying candidate # 64.576 * [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)))))))) 64.576 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 64.576 * * * * [progress]: [ 118 / 118 ] simplifiying candidate # 64.577 * [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))))))) 64.577 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 64.577 * * * [progress]: adding candidates to table 65.889 * * [progress]: iteration 4 / 4 65.889 * * * [progress]: picking best candidate 65.943 * * * * [pick]: Picked # 65.943 * * * [progress]: localizing error 65.993 * * * [progress]: generating rewritten candidates 65.993 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 66.022 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 66.053 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 66.072 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 66.100 * * * [progress]: generating series expansions 66.100 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 66.101 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) 66.101 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0 66.101 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 66.101 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 66.101 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 66.101 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 66.101 * [taylor]: Taking taylor expansion of 1/2 in k 66.101 * [backup-simplify]: Simplify 1/2 into 1/2 66.101 * [taylor]: Taking taylor expansion of (- 1 k) in k 66.101 * [taylor]: Taking taylor expansion of 1 in k 66.101 * [backup-simplify]: Simplify 1 into 1 66.101 * [taylor]: Taking taylor expansion of k in k 66.101 * [backup-simplify]: Simplify 0 into 0 66.101 * [backup-simplify]: Simplify 1 into 1 66.101 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 66.101 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 66.101 * [taylor]: Taking taylor expansion of 2 in k 66.101 * [backup-simplify]: Simplify 2 into 2 66.101 * [taylor]: Taking taylor expansion of (* n PI) in k 66.101 * [taylor]: Taking taylor expansion of n in k 66.101 * [backup-simplify]: Simplify n into n 66.101 * [taylor]: Taking taylor expansion of PI in k 66.101 * [backup-simplify]: Simplify PI into PI 66.101 * [backup-simplify]: Simplify (* n PI) into (* n PI) 66.101 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 66.101 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 66.101 * [backup-simplify]: Simplify (- 0) into 0 66.102 * [backup-simplify]: Simplify (+ 1 0) into 1 66.102 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 66.102 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 66.102 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 66.102 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 66.102 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 66.102 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 66.102 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 66.102 * [taylor]: Taking taylor expansion of 1/2 in n 66.102 * [backup-simplify]: Simplify 1/2 into 1/2 66.102 * [taylor]: Taking taylor expansion of (- 1 k) in n 66.102 * [taylor]: Taking taylor expansion of 1 in n 66.102 * [backup-simplify]: Simplify 1 into 1 66.102 * [taylor]: Taking taylor expansion of k in n 66.102 * [backup-simplify]: Simplify k into k 66.102 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 66.102 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 66.102 * [taylor]: Taking taylor expansion of 2 in n 66.102 * [backup-simplify]: Simplify 2 into 2 66.102 * [taylor]: Taking taylor expansion of (* n PI) in n 66.102 * [taylor]: Taking taylor expansion of n in n 66.102 * [backup-simplify]: Simplify 0 into 0 66.102 * [backup-simplify]: Simplify 1 into 1 66.102 * [taylor]: Taking taylor expansion of PI in n 66.102 * [backup-simplify]: Simplify PI into PI 66.103 * [backup-simplify]: Simplify (* 0 PI) into 0 66.103 * [backup-simplify]: Simplify (* 2 0) into 0 66.104 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 66.105 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 66.105 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 66.105 * [backup-simplify]: Simplify (- k) into (- k) 66.105 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 66.105 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 66.106 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 66.107 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 66.108 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 66.108 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 66.108 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 66.108 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 66.108 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 66.108 * [taylor]: Taking taylor expansion of 1/2 in n 66.108 * [backup-simplify]: Simplify 1/2 into 1/2 66.108 * [taylor]: Taking taylor expansion of (- 1 k) in n 66.108 * [taylor]: Taking taylor expansion of 1 in n 66.108 * [backup-simplify]: Simplify 1 into 1 66.108 * [taylor]: Taking taylor expansion of k in n 66.108 * [backup-simplify]: Simplify k into k 66.108 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 66.108 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 66.108 * [taylor]: Taking taylor expansion of 2 in n 66.108 * [backup-simplify]: Simplify 2 into 2 66.108 * [taylor]: Taking taylor expansion of (* n PI) in n 66.108 * [taylor]: Taking taylor expansion of n in n 66.108 * [backup-simplify]: Simplify 0 into 0 66.108 * [backup-simplify]: Simplify 1 into 1 66.108 * [taylor]: Taking taylor expansion of PI in n 66.108 * [backup-simplify]: Simplify PI into PI 66.108 * [backup-simplify]: Simplify (* 0 PI) into 0 66.109 * [backup-simplify]: Simplify (* 2 0) into 0 66.109 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 66.110 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 66.111 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 66.111 * [backup-simplify]: Simplify (- k) into (- k) 66.111 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 66.111 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 66.112 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 66.113 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 66.113 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 66.113 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 66.113 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 66.113 * [taylor]: Taking taylor expansion of 1/2 in k 66.114 * [backup-simplify]: Simplify 1/2 into 1/2 66.114 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 66.114 * [taylor]: Taking taylor expansion of (- 1 k) in k 66.114 * [taylor]: Taking taylor expansion of 1 in k 66.114 * [backup-simplify]: Simplify 1 into 1 66.114 * [taylor]: Taking taylor expansion of k in k 66.114 * [backup-simplify]: Simplify 0 into 0 66.114 * [backup-simplify]: Simplify 1 into 1 66.114 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 66.114 * [taylor]: Taking taylor expansion of (log n) in k 66.114 * [taylor]: Taking taylor expansion of n in k 66.114 * [backup-simplify]: Simplify n into n 66.114 * [backup-simplify]: Simplify (log n) into (log n) 66.114 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 66.114 * [taylor]: Taking taylor expansion of (* 2 PI) in k 66.114 * [taylor]: Taking taylor expansion of 2 in k 66.114 * [backup-simplify]: Simplify 2 into 2 66.114 * [taylor]: Taking taylor expansion of PI in k 66.114 * [backup-simplify]: Simplify PI into PI 66.114 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 66.115 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 66.115 * [backup-simplify]: Simplify (- 0) into 0 66.115 * [backup-simplify]: Simplify (+ 1 0) into 1 66.116 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 66.116 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 66.117 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 66.118 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 66.118 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 66.119 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 66.120 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 66.121 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 66.122 * [backup-simplify]: Simplify (- 0) into 0 66.122 * [backup-simplify]: Simplify (+ 0 0) into 0 66.123 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 66.124 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 66.125 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 66.127 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 66.127 * [taylor]: Taking taylor expansion of 0 in k 66.127 * [backup-simplify]: Simplify 0 into 0 66.127 * [backup-simplify]: Simplify 0 into 0 66.128 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 66.129 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 66.131 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 66.131 * [backup-simplify]: Simplify (+ 0 0) into 0 66.131 * [backup-simplify]: Simplify (- 1) into -1 66.132 * [backup-simplify]: Simplify (+ 0 -1) into -1 66.133 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 66.136 * [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))))) 66.138 * [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))))))) 66.142 * [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))))))) 66.143 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 66.145 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 66.153 * [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 66.154 * [backup-simplify]: Simplify (- 0) into 0 66.154 * [backup-simplify]: Simplify (+ 0 0) into 0 66.155 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 66.157 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 66.158 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 66.160 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 66.160 * [taylor]: Taking taylor expansion of 0 in k 66.160 * [backup-simplify]: Simplify 0 into 0 66.160 * [backup-simplify]: Simplify 0 into 0 66.160 * [backup-simplify]: Simplify 0 into 0 66.161 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 66.162 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 66.164 * [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 66.164 * [backup-simplify]: Simplify (+ 0 0) into 0 66.164 * [backup-simplify]: Simplify (- 0) into 0 66.164 * [backup-simplify]: Simplify (+ 0 0) into 0 66.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 66.167 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 66.169 * [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))))) 66.172 * [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))))) 66.178 * [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))))) 66.178 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) 66.178 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 66.178 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 66.178 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 66.178 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 66.178 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 66.179 * [taylor]: Taking taylor expansion of 1/2 in k 66.179 * [backup-simplify]: Simplify 1/2 into 1/2 66.179 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 66.179 * [taylor]: Taking taylor expansion of 1 in k 66.179 * [backup-simplify]: Simplify 1 into 1 66.179 * [taylor]: Taking taylor expansion of (/ 1 k) in k 66.179 * [taylor]: Taking taylor expansion of k in k 66.179 * [backup-simplify]: Simplify 0 into 0 66.179 * [backup-simplify]: Simplify 1 into 1 66.179 * [backup-simplify]: Simplify (/ 1 1) into 1 66.179 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 66.179 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 66.179 * [taylor]: Taking taylor expansion of 2 in k 66.179 * [backup-simplify]: Simplify 2 into 2 66.179 * [taylor]: Taking taylor expansion of (/ PI n) in k 66.179 * [taylor]: Taking taylor expansion of PI in k 66.179 * [backup-simplify]: Simplify PI into PI 66.179 * [taylor]: Taking taylor expansion of n in k 66.179 * [backup-simplify]: Simplify n into n 66.179 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 66.179 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 66.179 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 66.179 * [backup-simplify]: Simplify (- 1) into -1 66.180 * [backup-simplify]: Simplify (+ 0 -1) into -1 66.180 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 66.180 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 66.180 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 66.180 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 66.180 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 66.180 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 66.180 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 66.180 * [taylor]: Taking taylor expansion of 1/2 in n 66.180 * [backup-simplify]: Simplify 1/2 into 1/2 66.180 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 66.180 * [taylor]: Taking taylor expansion of 1 in n 66.180 * [backup-simplify]: Simplify 1 into 1 66.180 * [taylor]: Taking taylor expansion of (/ 1 k) in n 66.180 * [taylor]: Taking taylor expansion of k in n 66.180 * [backup-simplify]: Simplify k into k 66.180 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 66.180 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 66.180 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 66.180 * [taylor]: Taking taylor expansion of 2 in n 66.180 * [backup-simplify]: Simplify 2 into 2 66.180 * [taylor]: Taking taylor expansion of (/ PI n) in n 66.181 * [taylor]: Taking taylor expansion of PI in n 66.181 * [backup-simplify]: Simplify PI into PI 66.181 * [taylor]: Taking taylor expansion of n in n 66.181 * [backup-simplify]: Simplify 0 into 0 66.181 * [backup-simplify]: Simplify 1 into 1 66.181 * [backup-simplify]: Simplify (/ PI 1) into PI 66.181 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 66.182 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 66.182 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 66.182 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 66.182 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 66.183 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 66.183 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 66.184 * [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))))) 66.184 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 66.184 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 66.184 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 66.184 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 66.184 * [taylor]: Taking taylor expansion of 1/2 in n 66.184 * [backup-simplify]: Simplify 1/2 into 1/2 66.184 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 66.184 * [taylor]: Taking taylor expansion of 1 in n 66.184 * [backup-simplify]: Simplify 1 into 1 66.184 * [taylor]: Taking taylor expansion of (/ 1 k) in n 66.184 * [taylor]: Taking taylor expansion of k in n 66.184 * [backup-simplify]: Simplify k into k 66.184 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 66.184 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 66.184 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 66.184 * [taylor]: Taking taylor expansion of 2 in n 66.184 * [backup-simplify]: Simplify 2 into 2 66.184 * [taylor]: Taking taylor expansion of (/ PI n) in n 66.184 * [taylor]: Taking taylor expansion of PI in n 66.184 * [backup-simplify]: Simplify PI into PI 66.184 * [taylor]: Taking taylor expansion of n in n 66.184 * [backup-simplify]: Simplify 0 into 0 66.184 * [backup-simplify]: Simplify 1 into 1 66.185 * [backup-simplify]: Simplify (/ PI 1) into PI 66.185 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 66.186 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 66.186 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 66.186 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 66.186 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 66.187 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 66.187 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 66.188 * [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))))) 66.188 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 66.188 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 66.188 * [taylor]: Taking taylor expansion of 1/2 in k 66.188 * [backup-simplify]: Simplify 1/2 into 1/2 66.188 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 66.188 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 66.188 * [taylor]: Taking taylor expansion of 1 in k 66.188 * [backup-simplify]: Simplify 1 into 1 66.188 * [taylor]: Taking taylor expansion of (/ 1 k) in k 66.188 * [taylor]: Taking taylor expansion of k in k 66.188 * [backup-simplify]: Simplify 0 into 0 66.188 * [backup-simplify]: Simplify 1 into 1 66.189 * [backup-simplify]: Simplify (/ 1 1) into 1 66.189 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 66.189 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 66.189 * [taylor]: Taking taylor expansion of (* 2 PI) in k 66.189 * [taylor]: Taking taylor expansion of 2 in k 66.189 * [backup-simplify]: Simplify 2 into 2 66.189 * [taylor]: Taking taylor expansion of PI in k 66.189 * [backup-simplify]: Simplify PI into PI 66.189 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 66.189 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 66.190 * [taylor]: Taking taylor expansion of (log n) in k 66.190 * [taylor]: Taking taylor expansion of n in k 66.190 * [backup-simplify]: Simplify n into n 66.190 * [backup-simplify]: Simplify (log n) into (log n) 66.190 * [backup-simplify]: Simplify (- 1) into -1 66.190 * [backup-simplify]: Simplify (+ 0 -1) into -1 66.190 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 66.191 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 66.192 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 66.193 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 66.194 * [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))))) 66.195 * [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))))) 66.196 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 66.197 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 66.199 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 66.199 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 66.199 * [backup-simplify]: Simplify (- 0) into 0 66.200 * [backup-simplify]: Simplify (+ 0 0) into 0 66.200 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 66.202 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 66.203 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 66.204 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 66.205 * [taylor]: Taking taylor expansion of 0 in k 66.205 * [backup-simplify]: Simplify 0 into 0 66.205 * [backup-simplify]: Simplify 0 into 0 66.205 * [backup-simplify]: Simplify 0 into 0 66.206 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 66.207 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 66.211 * [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 66.211 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 66.211 * [backup-simplify]: Simplify (- 0) into 0 66.212 * [backup-simplify]: Simplify (+ 0 0) into 0 66.213 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 66.214 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 66.215 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 66.218 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 66.218 * [taylor]: Taking taylor expansion of 0 in k 66.218 * [backup-simplify]: Simplify 0 into 0 66.218 * [backup-simplify]: Simplify 0 into 0 66.218 * [backup-simplify]: Simplify 0 into 0 66.218 * [backup-simplify]: Simplify 0 into 0 66.219 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 66.220 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 66.226 * [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 66.226 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 66.227 * [backup-simplify]: Simplify (- 0) into 0 66.227 * [backup-simplify]: Simplify (+ 0 0) into 0 66.228 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 66.230 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 66.231 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 66.234 * [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 66.234 * [taylor]: Taking taylor expansion of 0 in k 66.234 * [backup-simplify]: Simplify 0 into 0 66.234 * [backup-simplify]: Simplify 0 into 0 66.236 * [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)))))) 66.236 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) 66.236 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 66.236 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 66.236 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 66.236 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 66.237 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 66.237 * [taylor]: Taking taylor expansion of 1/2 in k 66.237 * [backup-simplify]: Simplify 1/2 into 1/2 66.237 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 66.237 * [taylor]: Taking taylor expansion of (/ 1 k) in k 66.237 * [taylor]: Taking taylor expansion of k in k 66.237 * [backup-simplify]: Simplify 0 into 0 66.237 * [backup-simplify]: Simplify 1 into 1 66.237 * [backup-simplify]: Simplify (/ 1 1) into 1 66.237 * [taylor]: Taking taylor expansion of 1 in k 66.237 * [backup-simplify]: Simplify 1 into 1 66.237 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 66.237 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 66.237 * [taylor]: Taking taylor expansion of -2 in k 66.237 * [backup-simplify]: Simplify -2 into -2 66.237 * [taylor]: Taking taylor expansion of (/ PI n) in k 66.237 * [taylor]: Taking taylor expansion of PI in k 66.237 * [backup-simplify]: Simplify PI into PI 66.237 * [taylor]: Taking taylor expansion of n in k 66.237 * [backup-simplify]: Simplify n into n 66.237 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 66.237 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 66.238 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 66.238 * [backup-simplify]: Simplify (+ 1 0) into 1 66.238 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 66.239 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 66.239 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 66.239 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 66.239 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 66.239 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 66.239 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 66.239 * [taylor]: Taking taylor expansion of 1/2 in n 66.239 * [backup-simplify]: Simplify 1/2 into 1/2 66.239 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 66.239 * [taylor]: Taking taylor expansion of (/ 1 k) in n 66.239 * [taylor]: Taking taylor expansion of k in n 66.239 * [backup-simplify]: Simplify k into k 66.239 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 66.239 * [taylor]: Taking taylor expansion of 1 in n 66.239 * [backup-simplify]: Simplify 1 into 1 66.239 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 66.239 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 66.239 * [taylor]: Taking taylor expansion of -2 in n 66.239 * [backup-simplify]: Simplify -2 into -2 66.239 * [taylor]: Taking taylor expansion of (/ PI n) in n 66.239 * [taylor]: Taking taylor expansion of PI in n 66.239 * [backup-simplify]: Simplify PI into PI 66.239 * [taylor]: Taking taylor expansion of n in n 66.239 * [backup-simplify]: Simplify 0 into 0 66.239 * [backup-simplify]: Simplify 1 into 1 66.240 * [backup-simplify]: Simplify (/ PI 1) into PI 66.241 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 66.242 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 66.242 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 66.242 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 66.243 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 66.245 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 66.246 * [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))))) 66.246 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 66.246 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 66.246 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 66.246 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 66.246 * [taylor]: Taking taylor expansion of 1/2 in n 66.246 * [backup-simplify]: Simplify 1/2 into 1/2 66.246 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 66.246 * [taylor]: Taking taylor expansion of (/ 1 k) in n 66.246 * [taylor]: Taking taylor expansion of k in n 66.246 * [backup-simplify]: Simplify k into k 66.246 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 66.246 * [taylor]: Taking taylor expansion of 1 in n 66.246 * [backup-simplify]: Simplify 1 into 1 66.246 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 66.246 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 66.246 * [taylor]: Taking taylor expansion of -2 in n 66.246 * [backup-simplify]: Simplify -2 into -2 66.246 * [taylor]: Taking taylor expansion of (/ PI n) in n 66.246 * [taylor]: Taking taylor expansion of PI in n 66.246 * [backup-simplify]: Simplify PI into PI 66.246 * [taylor]: Taking taylor expansion of n in n 66.246 * [backup-simplify]: Simplify 0 into 0 66.246 * [backup-simplify]: Simplify 1 into 1 66.247 * [backup-simplify]: Simplify (/ PI 1) into PI 66.247 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 66.248 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 66.248 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 66.248 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 66.250 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 66.251 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 66.252 * [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))))) 66.252 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 66.252 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 66.252 * [taylor]: Taking taylor expansion of 1/2 in k 66.252 * [backup-simplify]: Simplify 1/2 into 1/2 66.252 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 66.252 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 66.252 * [taylor]: Taking taylor expansion of (/ 1 k) in k 66.252 * [taylor]: Taking taylor expansion of k in k 66.252 * [backup-simplify]: Simplify 0 into 0 66.253 * [backup-simplify]: Simplify 1 into 1 66.253 * [backup-simplify]: Simplify (/ 1 1) into 1 66.253 * [taylor]: Taking taylor expansion of 1 in k 66.253 * [backup-simplify]: Simplify 1 into 1 66.253 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 66.253 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 66.253 * [taylor]: Taking taylor expansion of (* -2 PI) in k 66.253 * [taylor]: Taking taylor expansion of -2 in k 66.253 * [backup-simplify]: Simplify -2 into -2 66.253 * [taylor]: Taking taylor expansion of PI in k 66.253 * [backup-simplify]: Simplify PI into PI 66.254 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 66.255 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 66.255 * [taylor]: Taking taylor expansion of (log n) in k 66.255 * [taylor]: Taking taylor expansion of n in k 66.255 * [backup-simplify]: Simplify n into n 66.255 * [backup-simplify]: Simplify (log n) into (log n) 66.256 * [backup-simplify]: Simplify (+ 1 0) into 1 66.256 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 66.257 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 66.258 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 66.259 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 66.260 * [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))))) 66.261 * [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))))) 66.262 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 66.263 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 66.265 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 66.265 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 66.265 * [backup-simplify]: Simplify (+ 0 0) into 0 66.266 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 66.267 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 66.268 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 66.270 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 66.270 * [taylor]: Taking taylor expansion of 0 in k 66.270 * [backup-simplify]: Simplify 0 into 0 66.270 * [backup-simplify]: Simplify 0 into 0 66.270 * [backup-simplify]: Simplify 0 into 0 66.271 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 66.272 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 66.278 * [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 66.278 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 66.279 * [backup-simplify]: Simplify (+ 0 0) into 0 66.279 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 66.281 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 66.283 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 66.285 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 66.285 * [taylor]: Taking taylor expansion of 0 in k 66.285 * [backup-simplify]: Simplify 0 into 0 66.285 * [backup-simplify]: Simplify 0 into 0 66.285 * [backup-simplify]: Simplify 0 into 0 66.285 * [backup-simplify]: Simplify 0 into 0 66.286 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 66.287 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 66.294 * [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 66.294 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 66.295 * [backup-simplify]: Simplify (+ 0 0) into 0 66.296 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 66.297 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 66.299 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 66.302 * [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 66.302 * [taylor]: Taking taylor expansion of 0 in k 66.302 * [backup-simplify]: Simplify 0 into 0 66.302 * [backup-simplify]: Simplify 0 into 0 66.303 * [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)))))) 66.304 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 66.304 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI)) 66.304 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 66.304 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 66.304 * [taylor]: Taking taylor expansion of 2 in n 66.304 * [backup-simplify]: Simplify 2 into 2 66.304 * [taylor]: Taking taylor expansion of (* n PI) in n 66.304 * [taylor]: Taking taylor expansion of n in n 66.304 * [backup-simplify]: Simplify 0 into 0 66.304 * [backup-simplify]: Simplify 1 into 1 66.304 * [taylor]: Taking taylor expansion of PI in n 66.304 * [backup-simplify]: Simplify PI into PI 66.304 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 66.304 * [taylor]: Taking taylor expansion of 2 in n 66.304 * [backup-simplify]: Simplify 2 into 2 66.304 * [taylor]: Taking taylor expansion of (* n PI) in n 66.304 * [taylor]: Taking taylor expansion of n in n 66.305 * [backup-simplify]: Simplify 0 into 0 66.305 * [backup-simplify]: Simplify 1 into 1 66.305 * [taylor]: Taking taylor expansion of PI in n 66.305 * [backup-simplify]: Simplify PI into PI 66.305 * [backup-simplify]: Simplify (* 0 PI) into 0 66.306 * [backup-simplify]: Simplify (* 2 0) into 0 66.306 * [backup-simplify]: Simplify 0 into 0 66.307 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 66.309 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 66.309 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 66.310 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 66.311 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 66.311 * [backup-simplify]: Simplify 0 into 0 66.312 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 66.314 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 66.314 * [backup-simplify]: Simplify 0 into 0 66.315 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 66.317 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 66.317 * [backup-simplify]: Simplify 0 into 0 66.318 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 66.320 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 66.320 * [backup-simplify]: Simplify 0 into 0 66.322 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 66.323 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 66.324 * [backup-simplify]: Simplify 0 into 0 66.325 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 66.327 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 66.327 * [backup-simplify]: Simplify 0 into 0 66.328 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 66.329 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n)) 66.329 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 66.329 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 66.329 * [taylor]: Taking taylor expansion of 2 in n 66.329 * [backup-simplify]: Simplify 2 into 2 66.329 * [taylor]: Taking taylor expansion of (/ PI n) in n 66.329 * [taylor]: Taking taylor expansion of PI in n 66.329 * [backup-simplify]: Simplify PI into PI 66.329 * [taylor]: Taking taylor expansion of n in n 66.329 * [backup-simplify]: Simplify 0 into 0 66.329 * [backup-simplify]: Simplify 1 into 1 66.329 * [backup-simplify]: Simplify (/ PI 1) into PI 66.329 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 66.329 * [taylor]: Taking taylor expansion of 2 in n 66.330 * [backup-simplify]: Simplify 2 into 2 66.330 * [taylor]: Taking taylor expansion of (/ PI n) in n 66.330 * [taylor]: Taking taylor expansion of PI in n 66.330 * [backup-simplify]: Simplify PI into PI 66.330 * [taylor]: Taking taylor expansion of n in n 66.330 * [backup-simplify]: Simplify 0 into 0 66.330 * [backup-simplify]: Simplify 1 into 1 66.330 * [backup-simplify]: Simplify (/ PI 1) into PI 66.331 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 66.331 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 66.332 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 66.333 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 66.333 * [backup-simplify]: Simplify 0 into 0 66.334 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 66.335 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 66.335 * [backup-simplify]: Simplify 0 into 0 66.336 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 66.337 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 66.337 * [backup-simplify]: Simplify 0 into 0 66.338 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 66.340 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 66.340 * [backup-simplify]: Simplify 0 into 0 66.341 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 66.342 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 66.342 * [backup-simplify]: Simplify 0 into 0 66.343 * [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 66.345 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 66.345 * [backup-simplify]: Simplify 0 into 0 66.346 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 66.347 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n)) 66.347 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 66.347 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 66.347 * [taylor]: Taking taylor expansion of -2 in n 66.347 * [backup-simplify]: Simplify -2 into -2 66.347 * [taylor]: Taking taylor expansion of (/ PI n) in n 66.347 * [taylor]: Taking taylor expansion of PI in n 66.347 * [backup-simplify]: Simplify PI into PI 66.347 * [taylor]: Taking taylor expansion of n in n 66.347 * [backup-simplify]: Simplify 0 into 0 66.347 * [backup-simplify]: Simplify 1 into 1 66.347 * [backup-simplify]: Simplify (/ PI 1) into PI 66.347 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 66.347 * [taylor]: Taking taylor expansion of -2 in n 66.347 * [backup-simplify]: Simplify -2 into -2 66.347 * [taylor]: Taking taylor expansion of (/ PI n) in n 66.347 * [taylor]: Taking taylor expansion of PI in n 66.347 * [backup-simplify]: Simplify PI into PI 66.347 * [taylor]: Taking taylor expansion of n in n 66.347 * [backup-simplify]: Simplify 0 into 0 66.348 * [backup-simplify]: Simplify 1 into 1 66.348 * [backup-simplify]: Simplify (/ PI 1) into PI 66.348 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 66.349 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 66.350 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 66.351 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 66.351 * [backup-simplify]: Simplify 0 into 0 66.352 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 66.353 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 66.353 * [backup-simplify]: Simplify 0 into 0 66.354 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 66.356 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 66.356 * [backup-simplify]: Simplify 0 into 0 66.357 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 66.358 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 66.358 * [backup-simplify]: Simplify 0 into 0 66.359 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 66.361 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 66.361 * [backup-simplify]: Simplify 0 into 0 66.362 * [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 66.364 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 66.364 * [backup-simplify]: Simplify 0 into 0 66.364 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 66.364 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 66.365 * [backup-simplify]: Simplify (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) into (* (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) (sqrt k)) 66.365 * [approximate]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) (sqrt k)) in (k n) around 0 66.365 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) (sqrt k)) in n 66.365 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) in n 66.365 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 66.365 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 66.365 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 66.365 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 66.365 * [taylor]: Taking taylor expansion of 1/2 in n 66.365 * [backup-simplify]: Simplify 1/2 into 1/2 66.365 * [taylor]: Taking taylor expansion of (- 1 k) in n 66.365 * [taylor]: Taking taylor expansion of 1 in n 66.365 * [backup-simplify]: Simplify 1 into 1 66.365 * [taylor]: Taking taylor expansion of k in n 66.365 * [backup-simplify]: Simplify k into k 66.365 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 66.365 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 66.366 * [taylor]: Taking taylor expansion of 2 in n 66.366 * [backup-simplify]: Simplify 2 into 2 66.366 * [taylor]: Taking taylor expansion of (* n PI) in n 66.366 * [taylor]: Taking taylor expansion of n in n 66.366 * [backup-simplify]: Simplify 0 into 0 66.366 * [backup-simplify]: Simplify 1 into 1 66.366 * [taylor]: Taking taylor expansion of PI in n 66.366 * [backup-simplify]: Simplify PI into PI 66.366 * [backup-simplify]: Simplify (* 0 PI) into 0 66.367 * [backup-simplify]: Simplify (* 2 0) into 0 66.368 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 66.369 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 66.371 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 66.371 * [backup-simplify]: Simplify (- k) into (- k) 66.371 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 66.371 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 66.372 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 66.373 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 66.374 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 66.375 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))) into (/ 1 (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))) 66.375 * [taylor]: Taking taylor expansion of (sqrt k) in n 66.375 * [taylor]: Taking taylor expansion of k in n 66.375 * [backup-simplify]: Simplify k into k 66.376 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 66.376 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 66.376 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) (sqrt k)) in k 66.376 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) in k 66.376 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 66.376 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 66.376 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 66.376 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 66.376 * [taylor]: Taking taylor expansion of 1/2 in k 66.376 * [backup-simplify]: Simplify 1/2 into 1/2 66.376 * [taylor]: Taking taylor expansion of (- 1 k) in k 66.376 * [taylor]: Taking taylor expansion of 1 in k 66.376 * [backup-simplify]: Simplify 1 into 1 66.376 * [taylor]: Taking taylor expansion of k in k 66.376 * [backup-simplify]: Simplify 0 into 0 66.376 * [backup-simplify]: Simplify 1 into 1 66.376 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 66.376 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 66.376 * [taylor]: Taking taylor expansion of 2 in k 66.376 * [backup-simplify]: Simplify 2 into 2 66.376 * [taylor]: Taking taylor expansion of (* n PI) in k 66.376 * [taylor]: Taking taylor expansion of n in k 66.376 * [backup-simplify]: Simplify n into n 66.376 * [taylor]: Taking taylor expansion of PI in k 66.376 * [backup-simplify]: Simplify PI into PI 66.376 * [backup-simplify]: Simplify (* n PI) into (* n PI) 66.376 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 66.376 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 66.377 * [backup-simplify]: Simplify (- 0) into 0 66.377 * [backup-simplify]: Simplify (+ 1 0) into 1 66.378 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 66.378 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 66.378 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 66.378 * [backup-simplify]: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2)))) 66.378 * [taylor]: Taking taylor expansion of (sqrt k) in k 66.378 * [taylor]: Taking taylor expansion of k in k 66.378 * [backup-simplify]: Simplify 0 into 0 66.378 * [backup-simplify]: Simplify 1 into 1 66.379 * [backup-simplify]: Simplify (sqrt 0) into 0 66.380 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 66.380 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) (sqrt k)) in k 66.380 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) in k 66.380 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 66.380 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 66.380 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 66.380 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 66.380 * [taylor]: Taking taylor expansion of 1/2 in k 66.380 * [backup-simplify]: Simplify 1/2 into 1/2 66.380 * [taylor]: Taking taylor expansion of (- 1 k) in k 66.380 * [taylor]: Taking taylor expansion of 1 in k 66.380 * [backup-simplify]: Simplify 1 into 1 66.380 * [taylor]: Taking taylor expansion of k in k 66.380 * [backup-simplify]: Simplify 0 into 0 66.380 * [backup-simplify]: Simplify 1 into 1 66.380 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 66.381 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 66.381 * [taylor]: Taking taylor expansion of 2 in k 66.381 * [backup-simplify]: Simplify 2 into 2 66.381 * [taylor]: Taking taylor expansion of (* n PI) in k 66.381 * [taylor]: Taking taylor expansion of n in k 66.381 * [backup-simplify]: Simplify n into n 66.381 * [taylor]: Taking taylor expansion of PI in k 66.381 * [backup-simplify]: Simplify PI into PI 66.381 * [backup-simplify]: Simplify (* n PI) into (* n PI) 66.381 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 66.381 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 66.381 * [backup-simplify]: Simplify (- 0) into 0 66.382 * [backup-simplify]: Simplify (+ 1 0) into 1 66.382 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 66.382 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 66.382 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 66.383 * [backup-simplify]: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2)))) 66.383 * [taylor]: Taking taylor expansion of (sqrt k) in k 66.383 * [taylor]: Taking taylor expansion of k in k 66.383 * [backup-simplify]: Simplify 0 into 0 66.383 * [backup-simplify]: Simplify 1 into 1 66.383 * [backup-simplify]: Simplify (sqrt 0) into 0 66.384 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 66.385 * [backup-simplify]: Simplify (* (sqrt (/ 1 (* PI (* n 2)))) 0) into 0 66.385 * [taylor]: Taking taylor expansion of 0 in n 66.385 * [backup-simplify]: Simplify 0 into 0 66.385 * [backup-simplify]: Simplify 0 into 0 66.385 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 66.386 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 66.386 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 66.387 * [backup-simplify]: Simplify (- 1) into -1 66.387 * [backup-simplify]: Simplify (+ 0 -1) into -1 66.388 * [backup-simplify]: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2 66.389 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 66.389 * [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))))) 66.390 * [backup-simplify]: Simplify (- (+ (* (sqrt (/ 1 (* PI (* n 2)))) (/ (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) (pow (* 2 (* n PI)) 1/2))))) into (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) 66.391 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (* PI (* n 2)))) +nan.0) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) 0)) into (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) 66.391 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n 66.391 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n 66.391 * [taylor]: Taking taylor expansion of +nan.0 in n 66.391 * [backup-simplify]: Simplify +nan.0 into +nan.0 66.391 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n 66.392 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 66.392 * [taylor]: Taking taylor expansion of (/ 1 (* n PI)) in n 66.392 * [taylor]: Taking taylor expansion of (* n PI) in n 66.392 * [taylor]: Taking taylor expansion of n in n 66.392 * [backup-simplify]: Simplify 0 into 0 66.392 * [backup-simplify]: Simplify 1 into 1 66.392 * [taylor]: Taking taylor expansion of PI in n 66.392 * [backup-simplify]: Simplify PI into PI 66.392 * [backup-simplify]: Simplify (* 0 PI) into 0 66.394 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 66.394 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI) 66.394 * [backup-simplify]: Simplify (sqrt 0) into 0 66.397 * [backup-simplify]: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 66.397 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n 66.397 * [taylor]: Taking taylor expansion of 1/2 in n 66.397 * [backup-simplify]: Simplify 1/2 into 1/2 66.397 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 66.398 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 66.401 * [backup-simplify]: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 66.402 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0 66.407 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 66.411 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 66.413 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 1/2) PI))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 66.413 * [backup-simplify]: Simplify 0 into 0 66.416 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 66.416 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 66.417 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 66.418 * [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 66.418 * [backup-simplify]: Simplify (- 0) into 0 66.418 * [backup-simplify]: Simplify (+ 0 0) into 0 66.419 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0 66.420 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 66.420 * [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))) 66.422 * [backup-simplify]: Simplify (- (+ (* (sqrt (/ 1 (* PI (* n 2)))) (/ (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) (pow (* 2 (* n PI)) 1/2))) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (/ (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) (pow (* 2 (* n PI)) 1/2))))) into (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (* n PI))))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))))) 66.427 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (* PI (* n 2)))) +nan.0) (+ (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) +nan.0) (* (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (* n PI))))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))))) 66.427 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))))) in n 66.428 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))))) in n 66.428 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) in n 66.428 * [taylor]: Taking taylor expansion of +nan.0 in n 66.428 * [backup-simplify]: Simplify +nan.0 into +nan.0 66.428 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))) in n 66.428 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) in n 66.428 * [taylor]: Taking taylor expansion of (sqrt 2) in n 66.428 * [taylor]: Taking taylor expansion of 2 in n 66.428 * [backup-simplify]: Simplify 2 into 2 66.428 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 66.428 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 66.428 * [taylor]: Taking taylor expansion of (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2)) in n 66.428 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 66.428 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 66.428 * [taylor]: Taking taylor expansion of 2 in n 66.429 * [backup-simplify]: Simplify 2 into 2 66.429 * [taylor]: Taking taylor expansion of (* n PI) in n 66.429 * [taylor]: Taking taylor expansion of n in n 66.429 * [backup-simplify]: Simplify 0 into 0 66.429 * [backup-simplify]: Simplify 1 into 1 66.429 * [taylor]: Taking taylor expansion of PI in n 66.429 * [backup-simplify]: Simplify PI into PI 66.429 * [backup-simplify]: Simplify (* 0 PI) into 0 66.429 * [backup-simplify]: Simplify (* 2 0) into 0 66.430 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 66.431 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 66.432 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 66.432 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in n 66.432 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n 66.432 * [taylor]: Taking taylor expansion of 1/2 in n 66.432 * [backup-simplify]: Simplify 1/2 into 1/2 66.432 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 66.432 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 66.432 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 66.432 * [taylor]: Taking taylor expansion of (/ 1 (* n PI)) in n 66.433 * [taylor]: Taking taylor expansion of (* n PI) in n 66.433 * [taylor]: Taking taylor expansion of n in n 66.433 * [backup-simplify]: Simplify 0 into 0 66.433 * [backup-simplify]: Simplify 1 into 1 66.433 * [taylor]: Taking taylor expansion of PI in n 66.433 * [backup-simplify]: Simplify PI into PI 66.433 * [backup-simplify]: Simplify (* 0 PI) into 0 66.434 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 66.434 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI) 66.434 * [backup-simplify]: Simplify (sqrt 0) into 0 66.435 * [backup-simplify]: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 66.436 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n 66.436 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n 66.436 * [taylor]: Taking taylor expansion of +nan.0 in n 66.436 * [backup-simplify]: Simplify +nan.0 into +nan.0 66.436 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n 66.436 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 66.436 * [taylor]: Taking taylor expansion of (/ 1 (* n PI)) in n 66.436 * [taylor]: Taking taylor expansion of (* n PI) in n 66.436 * [taylor]: Taking taylor expansion of n in n 66.436 * [backup-simplify]: Simplify 0 into 0 66.436 * [backup-simplify]: Simplify 1 into 1 66.436 * [taylor]: Taking taylor expansion of PI in n 66.436 * [backup-simplify]: Simplify PI into PI 66.436 * [backup-simplify]: Simplify (* 0 PI) into 0 66.437 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 66.437 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI) 66.437 * [backup-simplify]: Simplify (sqrt 0) into 0 66.439 * [backup-simplify]: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 66.439 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n 66.439 * [taylor]: Taking taylor expansion of 1/2 in n 66.439 * [backup-simplify]: Simplify 1/2 into 1/2 66.439 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 66.439 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 66.440 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 66.441 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 66.442 * [backup-simplify]: Simplify (* (+ (log n) (log (* 2 PI))) (pow (sqrt 1/2) 2)) into (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))) 66.444 * [backup-simplify]: Simplify (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) into (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) 66.445 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 66.446 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 66.447 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 66.448 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 66.450 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 66.453 * [backup-simplify]: Simplify (+ (* (+ (log n) (log (* 2 PI))) 0) (* 0 (pow (sqrt 1/2) 2))) into 0 66.455 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))))) into 0 66.459 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) (/ +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))) 66.461 * [backup-simplify]: Simplify (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) 0) into 0 66.474 * [backup-simplify]: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))) (* 0 0)) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))) 66.477 * [backup-simplify]: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 66.477 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0 66.483 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 66.486 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 66.500 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))) (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) 66.513 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) 66.524 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) 66.524 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 66.525 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 66.525 * [backup-simplify]: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 66.528 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 PI) 2) (+)) (* 2 0)) into (/ +nan.0 (pow PI 2)) 66.534 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (/ +nan.0 PI) 0) (* (/ +nan.0 (pow PI 2)) (sqrt 1/2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 66.539 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 66.542 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 66.544 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 66.560 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) (* n k)) (+ (* (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) (pow (* 1 k) 2)) (* (- (* +nan.0 (/ (sqrt 1/2) PI))) (* 1 k)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) PI)) (- (+ (* +nan.0 (/ (* (sqrt 1/2) (pow k 2)) PI)) (- (+ (* +nan.0 (/ (* n (* (sqrt 1/2) k)) (pow PI 2))) (- (+ (* +nan.0 (/ (* (log n) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2)))) PI)) (- (* +nan.0 (/ (* (sqrt 1/2) k) PI))))))))))) 66.560 * [backup-simplify]: Simplify (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2))) into (* (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) (sqrt (/ 1 k))) 66.560 * [approximate]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) (sqrt (/ 1 k))) in (k n) around 0 66.560 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) (sqrt (/ 1 k))) in n 66.560 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) in n 66.560 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 66.560 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 66.560 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 66.560 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 66.560 * [taylor]: Taking taylor expansion of 1/2 in n 66.560 * [backup-simplify]: Simplify 1/2 into 1/2 66.560 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 66.560 * [taylor]: Taking taylor expansion of 1 in n 66.560 * [backup-simplify]: Simplify 1 into 1 66.560 * [taylor]: Taking taylor expansion of (/ 1 k) in n 66.560 * [taylor]: Taking taylor expansion of k in n 66.560 * [backup-simplify]: Simplify k into k 66.560 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 66.561 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 66.561 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 66.561 * [taylor]: Taking taylor expansion of 2 in n 66.561 * [backup-simplify]: Simplify 2 into 2 66.561 * [taylor]: Taking taylor expansion of (/ PI n) in n 66.561 * [taylor]: Taking taylor expansion of PI in n 66.561 * [backup-simplify]: Simplify PI into PI 66.561 * [taylor]: Taking taylor expansion of n in n 66.561 * [backup-simplify]: Simplify 0 into 0 66.561 * [backup-simplify]: Simplify 1 into 1 66.561 * [backup-simplify]: Simplify (/ PI 1) into PI 66.561 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 66.562 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 66.562 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 66.562 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 66.562 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 66.563 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 66.564 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 66.565 * [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))))) 66.565 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) 66.565 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 66.565 * [taylor]: Taking taylor expansion of (/ 1 k) in n 66.565 * [taylor]: Taking taylor expansion of k in n 66.565 * [backup-simplify]: Simplify k into k 66.565 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 66.566 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 66.566 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 66.566 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 66.566 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) (sqrt (/ 1 k))) in k 66.566 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) in k 66.566 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 66.566 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 66.566 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 66.566 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 66.566 * [taylor]: Taking taylor expansion of 1/2 in k 66.566 * [backup-simplify]: Simplify 1/2 into 1/2 66.566 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 66.566 * [taylor]: Taking taylor expansion of 1 in k 66.566 * [backup-simplify]: Simplify 1 into 1 66.566 * [taylor]: Taking taylor expansion of (/ 1 k) in k 66.566 * [taylor]: Taking taylor expansion of k in k 66.566 * [backup-simplify]: Simplify 0 into 0 66.566 * [backup-simplify]: Simplify 1 into 1 66.566 * [backup-simplify]: Simplify (/ 1 1) into 1 66.566 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 66.566 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 66.566 * [taylor]: Taking taylor expansion of 2 in k 66.566 * [backup-simplify]: Simplify 2 into 2 66.566 * [taylor]: Taking taylor expansion of (/ PI n) in k 66.566 * [taylor]: Taking taylor expansion of PI in k 66.566 * [backup-simplify]: Simplify PI into PI 66.566 * [taylor]: Taking taylor expansion of n in k 66.566 * [backup-simplify]: Simplify n into n 66.566 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 66.566 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 66.566 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 66.567 * [backup-simplify]: Simplify (- 1) into -1 66.567 * [backup-simplify]: Simplify (+ 0 -1) into -1 66.567 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 66.567 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 66.568 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 66.568 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) into (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) 66.568 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 66.568 * [taylor]: Taking taylor expansion of (/ 1 k) in k 66.568 * [taylor]: Taking taylor expansion of k in k 66.568 * [backup-simplify]: Simplify 0 into 0 66.568 * [backup-simplify]: Simplify 1 into 1 66.568 * [backup-simplify]: Simplify (/ 1 1) into 1 66.568 * [backup-simplify]: Simplify (sqrt 0) into 0 66.569 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 66.569 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) (sqrt (/ 1 k))) in k 66.569 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) in k 66.569 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 66.569 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 66.569 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 66.569 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 66.569 * [taylor]: Taking taylor expansion of 1/2 in k 66.569 * [backup-simplify]: Simplify 1/2 into 1/2 66.569 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 66.570 * [taylor]: Taking taylor expansion of 1 in k 66.570 * [backup-simplify]: Simplify 1 into 1 66.570 * [taylor]: Taking taylor expansion of (/ 1 k) in k 66.570 * [taylor]: Taking taylor expansion of k in k 66.570 * [backup-simplify]: Simplify 0 into 0 66.570 * [backup-simplify]: Simplify 1 into 1 66.570 * [backup-simplify]: Simplify (/ 1 1) into 1 66.570 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 66.570 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 66.570 * [taylor]: Taking taylor expansion of 2 in k 66.570 * [backup-simplify]: Simplify 2 into 2 66.570 * [taylor]: Taking taylor expansion of (/ PI n) in k 66.570 * [taylor]: Taking taylor expansion of PI in k 66.570 * [backup-simplify]: Simplify PI into PI 66.570 * [taylor]: Taking taylor expansion of n in k 66.570 * [backup-simplify]: Simplify n into n 66.570 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 66.570 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 66.570 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 66.570 * [backup-simplify]: Simplify (- 1) into -1 66.571 * [backup-simplify]: Simplify (+ 0 -1) into -1 66.571 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 66.571 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 66.571 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 66.571 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) into (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) 66.571 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 66.571 * [taylor]: Taking taylor expansion of (/ 1 k) in k 66.571 * [taylor]: Taking taylor expansion of k in k 66.571 * [backup-simplify]: Simplify 0 into 0 66.571 * [backup-simplify]: Simplify 1 into 1 66.572 * [backup-simplify]: Simplify (/ 1 1) into 1 66.572 * [backup-simplify]: Simplify (sqrt 0) into 0 66.573 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 66.573 * [backup-simplify]: Simplify (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) 0) into 0 66.573 * [taylor]: Taking taylor expansion of 0 in n 66.573 * [backup-simplify]: Simplify 0 into 0 66.573 * [backup-simplify]: Simplify 0 into 0 66.573 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))))) into 0 66.574 * [backup-simplify]: Simplify (+ (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))) 66.574 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))) in n 66.574 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 66.574 * [taylor]: Taking taylor expansion of +nan.0 in n 66.574 * [backup-simplify]: Simplify +nan.0 into +nan.0 66.574 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 66.574 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 66.574 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 66.574 * [taylor]: Taking taylor expansion of 1/2 in n 66.574 * [backup-simplify]: Simplify 1/2 into 1/2 66.574 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 66.574 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 66.574 * [taylor]: Taking taylor expansion of 1 in n 66.574 * [backup-simplify]: Simplify 1 into 1 66.574 * [taylor]: Taking taylor expansion of (/ 1 k) in n 66.574 * [taylor]: Taking taylor expansion of k in n 66.574 * [backup-simplify]: Simplify k into k 66.574 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 66.574 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 66.574 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 66.574 * [taylor]: Taking taylor expansion of 2 in n 66.574 * [backup-simplify]: Simplify 2 into 2 66.574 * [taylor]: Taking taylor expansion of (/ PI n) in n 66.574 * [taylor]: Taking taylor expansion of PI in n 66.574 * [backup-simplify]: Simplify PI into PI 66.574 * [taylor]: Taking taylor expansion of n in n 66.574 * [backup-simplify]: Simplify 0 into 0 66.574 * [backup-simplify]: Simplify 1 into 1 66.574 * [backup-simplify]: Simplify (/ PI 1) into PI 66.575 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 66.575 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 66.575 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 66.575 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 66.576 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 66.577 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 66.578 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 66.578 * [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))))) 66.579 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) 66.580 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) 66.581 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) 66.582 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) 66.582 * [backup-simplify]: Simplify 0 into 0 66.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 66.586 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 66.587 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) (* 0 (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))))) into 0 66.588 * [backup-simplify]: Simplify (+ (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))) 66.588 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))) in n 66.588 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 66.588 * [taylor]: Taking taylor expansion of +nan.0 in n 66.588 * [backup-simplify]: Simplify +nan.0 into +nan.0 66.588 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 66.588 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 66.588 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 66.588 * [taylor]: Taking taylor expansion of 1/2 in n 66.588 * [backup-simplify]: Simplify 1/2 into 1/2 66.588 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 66.588 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 66.588 * [taylor]: Taking taylor expansion of 1 in n 66.588 * [backup-simplify]: Simplify 1 into 1 66.588 * [taylor]: Taking taylor expansion of (/ 1 k) in n 66.588 * [taylor]: Taking taylor expansion of k in n 66.588 * [backup-simplify]: Simplify k into k 66.588 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 66.588 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 66.588 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 66.588 * [taylor]: Taking taylor expansion of 2 in n 66.588 * [backup-simplify]: Simplify 2 into 2 66.588 * [taylor]: Taking taylor expansion of (/ PI n) in n 66.588 * [taylor]: Taking taylor expansion of PI in n 66.588 * [backup-simplify]: Simplify PI into PI 66.588 * [taylor]: Taking taylor expansion of n in n 66.588 * [backup-simplify]: Simplify 0 into 0 66.588 * [backup-simplify]: Simplify 1 into 1 66.589 * [backup-simplify]: Simplify (/ PI 1) into PI 66.589 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 66.590 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 66.590 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 66.591 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 66.592 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 66.593 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 66.594 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 66.595 * [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))))) 66.596 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) 66.598 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) 66.599 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) 66.600 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) 66.601 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 66.602 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 66.603 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 66.603 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 66.604 * [backup-simplify]: Simplify (- 0) into 0 66.604 * [backup-simplify]: Simplify (+ 0 0) into 0 66.606 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 66.607 * [backup-simplify]: Simplify (+ (* (- 1 (/ 1 k)) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 66.608 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into 0 66.610 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 66.612 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))))) into 0 66.614 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) into 0 66.614 * [backup-simplify]: Simplify (- 0) into 0 66.614 * [backup-simplify]: Simplify 0 into 0 66.615 * [backup-simplify]: Simplify 0 into 0 66.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 66.620 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 66.621 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) (* 0 (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) (* 0 (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))))) into 0 66.622 * [backup-simplify]: Simplify (+ (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))) 66.622 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))) in n 66.622 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 66.622 * [taylor]: Taking taylor expansion of +nan.0 in n 66.622 * [backup-simplify]: Simplify +nan.0 into +nan.0 66.622 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 66.622 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 66.622 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 66.622 * [taylor]: Taking taylor expansion of 1/2 in n 66.622 * [backup-simplify]: Simplify 1/2 into 1/2 66.622 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 66.622 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 66.622 * [taylor]: Taking taylor expansion of 1 in n 66.622 * [backup-simplify]: Simplify 1 into 1 66.622 * [taylor]: Taking taylor expansion of (/ 1 k) in n 66.622 * [taylor]: Taking taylor expansion of k in n 66.622 * [backup-simplify]: Simplify k into k 66.622 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 66.622 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 66.622 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 66.622 * [taylor]: Taking taylor expansion of 2 in n 66.622 * [backup-simplify]: Simplify 2 into 2 66.622 * [taylor]: Taking taylor expansion of (/ PI n) in n 66.622 * [taylor]: Taking taylor expansion of PI in n 66.622 * [backup-simplify]: Simplify PI into PI 66.622 * [taylor]: Taking taylor expansion of n in n 66.622 * [backup-simplify]: Simplify 0 into 0 66.622 * [backup-simplify]: Simplify 1 into 1 66.623 * [backup-simplify]: Simplify (/ PI 1) into PI 66.623 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 66.624 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 66.625 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 66.625 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 66.626 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 66.627 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 66.628 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 66.629 * [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))))) 66.630 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) 66.632 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) 66.633 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) 66.634 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) 66.638 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n))))))))) (pow (* 1 (/ 1 k)) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n))))))))) (* 1 (/ 1 k))) (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n))))))))))) into (- (+ (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))))) (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2)))) (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)))))))) 66.639 * [backup-simplify]: Simplify (/ (sqrt (/ 1 (- k))) (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2))) into (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) 66.639 * [approximate]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in (k n) around 0 66.639 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in n 66.639 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 66.639 * [taylor]: Taking taylor expansion of (/ -1 k) in n 66.639 * [taylor]: Taking taylor expansion of -1 in n 66.639 * [backup-simplify]: Simplify -1 into -1 66.639 * [taylor]: Taking taylor expansion of k in n 66.639 * [backup-simplify]: Simplify k into k 66.639 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 66.639 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 66.639 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 66.639 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 66.639 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 66.639 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 66.639 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 66.639 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 66.639 * [taylor]: Taking taylor expansion of 1/2 in n 66.640 * [backup-simplify]: Simplify 1/2 into 1/2 66.640 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 66.640 * [taylor]: Taking taylor expansion of (/ 1 k) in n 66.640 * [taylor]: Taking taylor expansion of k in n 66.640 * [backup-simplify]: Simplify k into k 66.640 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 66.640 * [taylor]: Taking taylor expansion of 1 in n 66.640 * [backup-simplify]: Simplify 1 into 1 66.640 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 66.640 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 66.640 * [taylor]: Taking taylor expansion of -2 in n 66.640 * [backup-simplify]: Simplify -2 into -2 66.640 * [taylor]: Taking taylor expansion of (/ PI n) in n 66.640 * [taylor]: Taking taylor expansion of PI in n 66.640 * [backup-simplify]: Simplify PI into PI 66.640 * [taylor]: Taking taylor expansion of n in n 66.640 * [backup-simplify]: Simplify 0 into 0 66.640 * [backup-simplify]: Simplify 1 into 1 66.641 * [backup-simplify]: Simplify (/ PI 1) into PI 66.641 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 66.642 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 66.642 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 66.642 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 66.647 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 66.648 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 66.649 * [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))))) 66.651 * [backup-simplify]: Simplify (/ (sqrt (/ -1 k)) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (/ (sqrt (/ -1 k)) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) 66.651 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in k 66.651 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 66.651 * [taylor]: Taking taylor expansion of (/ -1 k) in k 66.651 * [taylor]: Taking taylor expansion of -1 in k 66.651 * [backup-simplify]: Simplify -1 into -1 66.651 * [taylor]: Taking taylor expansion of k in k 66.651 * [backup-simplify]: Simplify 0 into 0 66.651 * [backup-simplify]: Simplify 1 into 1 66.651 * [backup-simplify]: Simplify (/ -1 1) into -1 66.652 * [backup-simplify]: Simplify (sqrt 0) into 0 66.653 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 66.653 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 66.653 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 66.653 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 66.653 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 66.653 * [taylor]: Taking taylor expansion of 1/2 in k 66.653 * [backup-simplify]: Simplify 1/2 into 1/2 66.653 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 66.653 * [taylor]: Taking taylor expansion of (/ 1 k) in k 66.653 * [taylor]: Taking taylor expansion of k in k 66.653 * [backup-simplify]: Simplify 0 into 0 66.653 * [backup-simplify]: Simplify 1 into 1 66.654 * [backup-simplify]: Simplify (/ 1 1) into 1 66.654 * [taylor]: Taking taylor expansion of 1 in k 66.654 * [backup-simplify]: Simplify 1 into 1 66.654 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 66.654 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 66.654 * [taylor]: Taking taylor expansion of -2 in k 66.654 * [backup-simplify]: Simplify -2 into -2 66.654 * [taylor]: Taking taylor expansion of (/ PI n) in k 66.654 * [taylor]: Taking taylor expansion of PI in k 66.654 * [backup-simplify]: Simplify PI into PI 66.654 * [taylor]: Taking taylor expansion of n in k 66.654 * [backup-simplify]: Simplify n into n 66.654 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 66.654 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 66.654 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 66.655 * [backup-simplify]: Simplify (+ 1 0) into 1 66.655 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 66.656 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 66.656 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 66.656 * [backup-simplify]: Simplify (/ +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) into (/ +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) 66.656 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in k 66.656 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 66.656 * [taylor]: Taking taylor expansion of (/ -1 k) in k 66.656 * [taylor]: Taking taylor expansion of -1 in k 66.656 * [backup-simplify]: Simplify -1 into -1 66.656 * [taylor]: Taking taylor expansion of k in k 66.656 * [backup-simplify]: Simplify 0 into 0 66.656 * [backup-simplify]: Simplify 1 into 1 66.657 * [backup-simplify]: Simplify (/ -1 1) into -1 66.657 * [backup-simplify]: Simplify (sqrt 0) into 0 66.658 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 66.659 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 66.659 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 66.659 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 66.659 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 66.659 * [taylor]: Taking taylor expansion of 1/2 in k 66.659 * [backup-simplify]: Simplify 1/2 into 1/2 66.659 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 66.659 * [taylor]: Taking taylor expansion of (/ 1 k) in k 66.659 * [taylor]: Taking taylor expansion of k in k 66.659 * [backup-simplify]: Simplify 0 into 0 66.659 * [backup-simplify]: Simplify 1 into 1 66.659 * [backup-simplify]: Simplify (/ 1 1) into 1 66.659 * [taylor]: Taking taylor expansion of 1 in k 66.659 * [backup-simplify]: Simplify 1 into 1 66.659 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 66.659 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 66.659 * [taylor]: Taking taylor expansion of -2 in k 66.659 * [backup-simplify]: Simplify -2 into -2 66.659 * [taylor]: Taking taylor expansion of (/ PI n) in k 66.659 * [taylor]: Taking taylor expansion of PI in k 66.660 * [backup-simplify]: Simplify PI into PI 66.660 * [taylor]: Taking taylor expansion of n in k 66.660 * [backup-simplify]: Simplify n into n 66.660 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 66.660 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 66.660 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 66.660 * [backup-simplify]: Simplify (+ 1 0) into 1 66.661 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 66.661 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 66.661 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 66.661 * [backup-simplify]: Simplify (/ +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) into (/ +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) 66.661 * [taylor]: Taking taylor expansion of (/ +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 66.661 * [taylor]: Taking taylor expansion of +nan.0 in n 66.661 * [backup-simplify]: Simplify +nan.0 into +nan.0 66.662 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 66.662 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 66.662 * [taylor]: Taking taylor expansion of 1/2 in n 66.662 * [backup-simplify]: Simplify 1/2 into 1/2 66.662 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 66.662 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 66.662 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 66.662 * [taylor]: Taking taylor expansion of -2 in n 66.662 * [backup-simplify]: Simplify -2 into -2 66.662 * [taylor]: Taking taylor expansion of (/ PI n) in n 66.662 * [taylor]: Taking taylor expansion of PI in n 66.662 * [backup-simplify]: Simplify PI into PI 66.662 * [taylor]: Taking taylor expansion of n in n 66.662 * [backup-simplify]: Simplify 0 into 0 66.662 * [backup-simplify]: Simplify 1 into 1 66.662 * [backup-simplify]: Simplify (/ PI 1) into PI 66.663 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 66.664 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 66.664 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 66.664 * [taylor]: Taking taylor expansion of (/ 1 k) in n 66.664 * [taylor]: Taking taylor expansion of k in n 66.664 * [backup-simplify]: Simplify k into k 66.664 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 66.664 * [taylor]: Taking taylor expansion of 1 in n 66.664 * [backup-simplify]: Simplify 1 into 1 66.666 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 66.666 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 66.667 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 66.668 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 66.669 * [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))))) 66.671 * [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)))))) 66.672 * [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)))))) 66.673 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 66.676 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 66.676 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) (+ (* (/ +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) (/ 0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))) 66.677 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))) in n 66.677 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n 66.677 * [taylor]: Taking taylor expansion of +nan.0 in n 66.677 * [backup-simplify]: Simplify +nan.0 into +nan.0 66.677 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 66.677 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 66.677 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 66.677 * [taylor]: Taking taylor expansion of 1/2 in n 66.677 * [backup-simplify]: Simplify 1/2 into 1/2 66.677 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 66.677 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 66.677 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 66.677 * [taylor]: Taking taylor expansion of -2 in n 66.677 * [backup-simplify]: Simplify -2 into -2 66.677 * [taylor]: Taking taylor expansion of (/ PI n) in n 66.677 * [taylor]: Taking taylor expansion of PI in n 66.677 * [backup-simplify]: Simplify PI into PI 66.677 * [taylor]: Taking taylor expansion of n in n 66.677 * [backup-simplify]: Simplify 0 into 0 66.677 * [backup-simplify]: Simplify 1 into 1 66.678 * [backup-simplify]: Simplify (/ PI 1) into PI 66.678 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 66.679 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 66.679 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 66.679 * [taylor]: Taking taylor expansion of (/ 1 k) in n 66.679 * [taylor]: Taking taylor expansion of k in n 66.679 * [backup-simplify]: Simplify k into k 66.679 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 66.679 * [taylor]: Taking taylor expansion of 1 in n 66.679 * [backup-simplify]: Simplify 1 into 1 66.681 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 66.681 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 66.682 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 66.683 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 66.684 * [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))))) 66.685 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) 66.687 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) 66.688 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))) 66.689 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))) 66.690 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 66.691 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 66.691 * [backup-simplify]: Simplify (+ 0 0) into 0 66.692 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 66.693 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 66.694 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 66.696 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (/ 1 k) 1))) into 0 66.697 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into 0 66.699 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 66.703 * [backup-simplify]: Simplify (- (/ 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) (+ (* (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) (/ 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))))) into 0 66.703 * [backup-simplify]: Simplify 0 into 0 66.704 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 66.706 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 66.707 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) (+ (* (/ +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) (/ 0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) (* (- (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))) (/ 0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))) 66.707 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))) in n 66.707 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n 66.707 * [taylor]: Taking taylor expansion of +nan.0 in n 66.707 * [backup-simplify]: Simplify +nan.0 into +nan.0 66.707 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 66.707 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 66.707 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 66.707 * [taylor]: Taking taylor expansion of 1/2 in n 66.707 * [backup-simplify]: Simplify 1/2 into 1/2 66.707 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 66.707 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 66.707 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 66.707 * [taylor]: Taking taylor expansion of -2 in n 66.707 * [backup-simplify]: Simplify -2 into -2 66.707 * [taylor]: Taking taylor expansion of (/ PI n) in n 66.707 * [taylor]: Taking taylor expansion of PI in n 66.707 * [backup-simplify]: Simplify PI into PI 66.707 * [taylor]: Taking taylor expansion of n in n 66.707 * [backup-simplify]: Simplify 0 into 0 66.707 * [backup-simplify]: Simplify 1 into 1 66.707 * [backup-simplify]: Simplify (/ PI 1) into PI 66.708 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 66.708 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 66.708 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 66.708 * [taylor]: Taking taylor expansion of (/ 1 k) in n 66.708 * [taylor]: Taking taylor expansion of k in n 66.708 * [backup-simplify]: Simplify k into k 66.709 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 66.709 * [taylor]: Taking taylor expansion of 1 in n 66.709 * [backup-simplify]: Simplify 1 into 1 66.709 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 66.709 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 66.710 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 66.711 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 66.711 * [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))))) 66.712 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) 66.713 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) 66.714 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))) 66.715 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))) 66.717 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n)))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n)))))))))) (* 1 (/ 1 (- k)))) (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k))) (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2)))) (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))))))))) 66.717 * * * * [progress]: [ 4 / 4 ] generating series at (2) 66.717 * [backup-simplify]: Simplify (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) 66.718 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (k n) around 0 66.718 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 66.718 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 66.718 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 66.718 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 66.718 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 66.718 * [taylor]: Taking taylor expansion of 1/2 in n 66.718 * [backup-simplify]: Simplify 1/2 into 1/2 66.718 * [taylor]: Taking taylor expansion of (- 1 k) in n 66.718 * [taylor]: Taking taylor expansion of 1 in n 66.718 * [backup-simplify]: Simplify 1 into 1 66.718 * [taylor]: Taking taylor expansion of k in n 66.718 * [backup-simplify]: Simplify k into k 66.718 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 66.718 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 66.718 * [taylor]: Taking taylor expansion of 2 in n 66.718 * [backup-simplify]: Simplify 2 into 2 66.718 * [taylor]: Taking taylor expansion of (* n PI) in n 66.718 * [taylor]: Taking taylor expansion of n in n 66.718 * [backup-simplify]: Simplify 0 into 0 66.718 * [backup-simplify]: Simplify 1 into 1 66.718 * [taylor]: Taking taylor expansion of PI in n 66.718 * [backup-simplify]: Simplify PI into PI 66.718 * [backup-simplify]: Simplify (* 0 PI) into 0 66.718 * [backup-simplify]: Simplify (* 2 0) into 0 66.719 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 66.720 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 66.721 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 66.721 * [backup-simplify]: Simplify (- k) into (- k) 66.721 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 66.721 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 66.722 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 66.722 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 66.723 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 66.723 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 66.723 * [taylor]: Taking taylor expansion of (/ 1 k) in n 66.723 * [taylor]: Taking taylor expansion of k in n 66.723 * [backup-simplify]: Simplify k into k 66.723 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 66.723 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 66.723 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 66.723 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 66.723 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 66.723 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 66.723 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 66.723 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 66.723 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 66.723 * [taylor]: Taking taylor expansion of 1/2 in k 66.723 * [backup-simplify]: Simplify 1/2 into 1/2 66.724 * [taylor]: Taking taylor expansion of (- 1 k) in k 66.724 * [taylor]: Taking taylor expansion of 1 in k 66.724 * [backup-simplify]: Simplify 1 into 1 66.724 * [taylor]: Taking taylor expansion of k in k 66.724 * [backup-simplify]: Simplify 0 into 0 66.724 * [backup-simplify]: Simplify 1 into 1 66.724 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 66.724 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 66.724 * [taylor]: Taking taylor expansion of 2 in k 66.724 * [backup-simplify]: Simplify 2 into 2 66.724 * [taylor]: Taking taylor expansion of (* n PI) in k 66.724 * [taylor]: Taking taylor expansion of n in k 66.724 * [backup-simplify]: Simplify n into n 66.724 * [taylor]: Taking taylor expansion of PI in k 66.724 * [backup-simplify]: Simplify PI into PI 66.724 * [backup-simplify]: Simplify (* n PI) into (* n PI) 66.724 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 66.724 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 66.724 * [backup-simplify]: Simplify (- 0) into 0 66.724 * [backup-simplify]: Simplify (+ 1 0) into 1 66.725 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 66.725 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 66.725 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 66.725 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 66.725 * [taylor]: Taking taylor expansion of (/ 1 k) in k 66.725 * [taylor]: Taking taylor expansion of k in k 66.725 * [backup-simplify]: Simplify 0 into 0 66.725 * [backup-simplify]: Simplify 1 into 1 66.725 * [backup-simplify]: Simplify (/ 1 1) into 1 66.725 * [backup-simplify]: Simplify (sqrt 0) into 0 66.726 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 66.726 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 66.726 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 66.726 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 66.726 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 66.726 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 66.726 * [taylor]: Taking taylor expansion of 1/2 in k 66.726 * [backup-simplify]: Simplify 1/2 into 1/2 66.726 * [taylor]: Taking taylor expansion of (- 1 k) in k 66.726 * [taylor]: Taking taylor expansion of 1 in k 66.726 * [backup-simplify]: Simplify 1 into 1 66.726 * [taylor]: Taking taylor expansion of k in k 66.726 * [backup-simplify]: Simplify 0 into 0 66.726 * [backup-simplify]: Simplify 1 into 1 66.726 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 66.726 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 66.726 * [taylor]: Taking taylor expansion of 2 in k 66.726 * [backup-simplify]: Simplify 2 into 2 66.726 * [taylor]: Taking taylor expansion of (* n PI) in k 66.726 * [taylor]: Taking taylor expansion of n in k 66.727 * [backup-simplify]: Simplify n into n 66.727 * [taylor]: Taking taylor expansion of PI in k 66.727 * [backup-simplify]: Simplify PI into PI 66.727 * [backup-simplify]: Simplify (* n PI) into (* n PI) 66.727 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 66.727 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 66.727 * [backup-simplify]: Simplify (- 0) into 0 66.727 * [backup-simplify]: Simplify (+ 1 0) into 1 66.727 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 66.728 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 66.728 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 66.728 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 66.728 * [taylor]: Taking taylor expansion of (/ 1 k) in k 66.728 * [taylor]: Taking taylor expansion of k in k 66.728 * [backup-simplify]: Simplify 0 into 0 66.728 * [backup-simplify]: Simplify 1 into 1 66.728 * [backup-simplify]: Simplify (/ 1 1) into 1 66.728 * [backup-simplify]: Simplify (sqrt 0) into 0 66.729 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 66.729 * [backup-simplify]: Simplify (* (pow (* 2 (* n PI)) 1/2) 0) into 0 66.729 * [taylor]: Taking taylor expansion of 0 in n 66.729 * [backup-simplify]: Simplify 0 into 0 66.729 * [backup-simplify]: Simplify 0 into 0 66.729 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 66.730 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 66.730 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 66.730 * [backup-simplify]: Simplify (- 1) into -1 66.731 * [backup-simplify]: Simplify (+ 0 -1) into -1 66.731 * [backup-simplify]: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2 66.732 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 66.732 * [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))))) 66.732 * [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))))) 66.732 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 66.732 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 66.732 * [taylor]: Taking taylor expansion of +nan.0 in n 66.732 * [backup-simplify]: Simplify +nan.0 into +nan.0 66.732 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 66.732 * [taylor]: Taking taylor expansion of (sqrt 2) in n 66.732 * [taylor]: Taking taylor expansion of 2 in n 66.732 * [backup-simplify]: Simplify 2 into 2 66.732 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 66.733 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 66.733 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 66.733 * [taylor]: Taking taylor expansion of (* n PI) in n 66.733 * [taylor]: Taking taylor expansion of n in n 66.733 * [backup-simplify]: Simplify 0 into 0 66.733 * [backup-simplify]: Simplify 1 into 1 66.733 * [taylor]: Taking taylor expansion of PI in n 66.733 * [backup-simplify]: Simplify PI into PI 66.733 * [backup-simplify]: Simplify (* 0 PI) into 0 66.734 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 66.734 * [backup-simplify]: Simplify (sqrt 0) into 0 66.735 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 66.736 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 66.736 * [backup-simplify]: Simplify (* +nan.0 0) into 0 66.736 * [backup-simplify]: Simplify (- 0) into 0 66.736 * [backup-simplify]: Simplify 0 into 0 66.736 * [backup-simplify]: Simplify 0 into 0 66.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 66.740 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 66.741 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 66.742 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 66.744 * [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 66.744 * [backup-simplify]: Simplify (- 0) into 0 66.745 * [backup-simplify]: Simplify (+ 0 0) into 0 66.746 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0 66.747 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 66.748 * [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))) 66.749 * [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))))))) 66.749 * [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 66.749 * [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 66.749 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 66.749 * [taylor]: Taking taylor expansion of +nan.0 in n 66.749 * [backup-simplify]: Simplify +nan.0 into +nan.0 66.749 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 66.749 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 66.749 * [taylor]: Taking taylor expansion of (sqrt 2) in n 66.749 * [taylor]: Taking taylor expansion of 2 in n 66.749 * [backup-simplify]: Simplify 2 into 2 66.749 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 66.750 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 66.750 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 66.750 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 66.750 * [taylor]: Taking taylor expansion of 2 in n 66.750 * [backup-simplify]: Simplify 2 into 2 66.750 * [taylor]: Taking taylor expansion of (* n PI) in n 66.750 * [taylor]: Taking taylor expansion of n in n 66.750 * [backup-simplify]: Simplify 0 into 0 66.750 * [backup-simplify]: Simplify 1 into 1 66.750 * [taylor]: Taking taylor expansion of PI in n 66.750 * [backup-simplify]: Simplify PI into PI 66.751 * [backup-simplify]: Simplify (* 0 PI) into 0 66.751 * [backup-simplify]: Simplify (* 2 0) into 0 66.753 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 66.754 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 66.755 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 66.755 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 66.755 * [taylor]: Taking taylor expansion of (* n PI) in n 66.755 * [taylor]: Taking taylor expansion of n in n 66.755 * [backup-simplify]: Simplify 0 into 0 66.755 * [backup-simplify]: Simplify 1 into 1 66.755 * [taylor]: Taking taylor expansion of PI in n 66.755 * [backup-simplify]: Simplify PI into PI 66.756 * [backup-simplify]: Simplify (* 0 PI) into 0 66.757 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 66.758 * [backup-simplify]: Simplify (sqrt 0) into 0 66.759 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 66.759 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 66.759 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 66.759 * [taylor]: Taking taylor expansion of +nan.0 in n 66.759 * [backup-simplify]: Simplify +nan.0 into +nan.0 66.760 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 66.760 * [taylor]: Taking taylor expansion of (sqrt 2) in n 66.760 * [taylor]: Taking taylor expansion of 2 in n 66.760 * [backup-simplify]: Simplify 2 into 2 66.760 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 66.761 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 66.761 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 66.761 * [taylor]: Taking taylor expansion of (* n PI) in n 66.761 * [taylor]: Taking taylor expansion of n in n 66.761 * [backup-simplify]: Simplify 0 into 0 66.761 * [backup-simplify]: Simplify 1 into 1 66.761 * [taylor]: Taking taylor expansion of PI in n 66.761 * [backup-simplify]: Simplify PI into PI 66.761 * [backup-simplify]: Simplify (* 0 PI) into 0 66.763 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 66.764 * [backup-simplify]: Simplify (sqrt 0) into 0 66.765 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 66.767 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 66.768 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 66.769 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 66.772 * [backup-simplify]: Simplify (* +nan.0 0) into 0 66.773 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 66.773 * [backup-simplify]: Simplify (* +nan.0 0) into 0 66.774 * [backup-simplify]: Simplify (- 0) into 0 66.774 * [backup-simplify]: Simplify (+ 0 0) into 0 66.774 * [backup-simplify]: Simplify (- 0) into 0 66.774 * [backup-simplify]: Simplify 0 into 0 66.777 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 66.783 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 66.787 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 66.789 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 66.790 * [backup-simplify]: Simplify 0 into 0 66.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 66.795 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 66.796 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 66.797 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 66.800 * [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 66.800 * [backup-simplify]: Simplify (- 0) into 0 66.801 * [backup-simplify]: Simplify (+ 0 0) into 0 66.802 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))) into 0 66.804 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0 66.805 * [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))) 66.807 * [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))))))))) 66.807 * [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 66.807 * [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 66.807 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 66.807 * [taylor]: Taking taylor expansion of +nan.0 in n 66.807 * [backup-simplify]: Simplify +nan.0 into +nan.0 66.807 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 66.807 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 66.807 * [taylor]: Taking taylor expansion of (sqrt 2) in n 66.807 * [taylor]: Taking taylor expansion of 2 in n 66.807 * [backup-simplify]: Simplify 2 into 2 66.808 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 66.808 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 66.808 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 66.808 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 66.808 * [taylor]: Taking taylor expansion of 2 in n 66.808 * [backup-simplify]: Simplify 2 into 2 66.809 * [taylor]: Taking taylor expansion of (* n PI) in n 66.809 * [taylor]: Taking taylor expansion of n in n 66.809 * [backup-simplify]: Simplify 0 into 0 66.809 * [backup-simplify]: Simplify 1 into 1 66.809 * [taylor]: Taking taylor expansion of PI in n 66.809 * [backup-simplify]: Simplify PI into PI 66.809 * [backup-simplify]: Simplify (* 0 PI) into 0 66.810 * [backup-simplify]: Simplify (* 2 0) into 0 66.811 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 66.813 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 66.814 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 66.814 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 66.814 * [taylor]: Taking taylor expansion of (* n PI) in n 66.814 * [taylor]: Taking taylor expansion of n in n 66.814 * [backup-simplify]: Simplify 0 into 0 66.814 * [backup-simplify]: Simplify 1 into 1 66.814 * [taylor]: Taking taylor expansion of PI in n 66.814 * [backup-simplify]: Simplify PI into PI 66.815 * [backup-simplify]: Simplify (* 0 PI) into 0 66.817 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 66.817 * [backup-simplify]: Simplify (sqrt 0) into 0 66.819 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 66.819 * [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 66.819 * [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 66.819 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 66.819 * [taylor]: Taking taylor expansion of +nan.0 in n 66.819 * [backup-simplify]: Simplify +nan.0 into +nan.0 66.819 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 66.819 * [taylor]: Taking taylor expansion of (sqrt 2) in n 66.819 * [taylor]: Taking taylor expansion of 2 in n 66.819 * [backup-simplify]: Simplify 2 into 2 66.819 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 66.820 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 66.820 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 66.820 * [taylor]: Taking taylor expansion of (* n PI) in n 66.820 * [taylor]: Taking taylor expansion of n in n 66.820 * [backup-simplify]: Simplify 0 into 0 66.820 * [backup-simplify]: Simplify 1 into 1 66.820 * [taylor]: Taking taylor expansion of PI in n 66.820 * [backup-simplify]: Simplify PI into PI 66.821 * [backup-simplify]: Simplify (* 0 PI) into 0 66.822 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 66.823 * [backup-simplify]: Simplify (sqrt 0) into 0 66.824 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 66.824 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))) in n 66.824 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n 66.824 * [taylor]: Taking taylor expansion of +nan.0 in n 66.824 * [backup-simplify]: Simplify +nan.0 into +nan.0 66.824 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n 66.824 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n 66.824 * [taylor]: Taking taylor expansion of (sqrt 2) in n 66.824 * [taylor]: Taking taylor expansion of 2 in n 66.824 * [backup-simplify]: Simplify 2 into 2 66.825 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 66.825 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 66.825 * [taylor]: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n 66.826 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 66.826 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 66.826 * [taylor]: Taking taylor expansion of 2 in n 66.826 * [backup-simplify]: Simplify 2 into 2 66.826 * [taylor]: Taking taylor expansion of (* n PI) in n 66.826 * [taylor]: Taking taylor expansion of n in n 66.826 * [backup-simplify]: Simplify 0 into 0 66.826 * [backup-simplify]: Simplify 1 into 1 66.826 * [taylor]: Taking taylor expansion of PI in n 66.826 * [backup-simplify]: Simplify PI into PI 66.826 * [backup-simplify]: Simplify (* 0 PI) into 0 66.827 * [backup-simplify]: Simplify (* 2 0) into 0 66.828 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 66.830 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 66.831 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 66.832 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 66.832 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 66.832 * [taylor]: Taking taylor expansion of (* n PI) in n 66.832 * [taylor]: Taking taylor expansion of n in n 66.832 * [backup-simplify]: Simplify 0 into 0 66.832 * [backup-simplify]: Simplify 1 into 1 66.832 * [taylor]: Taking taylor expansion of PI in n 66.832 * [backup-simplify]: Simplify PI into PI 66.832 * [backup-simplify]: Simplify (* 0 PI) into 0 66.833 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 66.833 * [backup-simplify]: Simplify (sqrt 0) into 0 66.834 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 66.835 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 66.836 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 66.837 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 66.837 * [backup-simplify]: Simplify (* +nan.0 0) into 0 66.838 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 66.838 * [backup-simplify]: Simplify (* +nan.0 0) into 0 66.839 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 66.840 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 66.841 * [backup-simplify]: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2) 66.842 * [backup-simplify]: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 66.843 * [backup-simplify]: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0 66.843 * [backup-simplify]: Simplify (* +nan.0 0) into 0 66.843 * [backup-simplify]: Simplify (- 0) into 0 66.843 * [backup-simplify]: Simplify (+ 0 0) into 0 66.844 * [backup-simplify]: Simplify (- 0) into 0 66.844 * [backup-simplify]: Simplify (+ 0 0) into 0 66.844 * [backup-simplify]: Simplify (- 0) into 0 66.844 * [backup-simplify]: Simplify 0 into 0 66.845 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 66.845 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 66.847 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 66.848 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 66.849 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 66.850 * [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)))))))) 66.854 * [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)))))))) 66.856 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 66.859 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 66.861 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 66.866 * [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)))))))))) 66.875 * [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))))))) 66.883 * [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))))))) 66.884 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 66.888 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 66.889 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 66.897 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 66.906 * [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)))) 66.910 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 66.914 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 66.924 * [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))))))))))))) 66.925 * [backup-simplify]: Simplify (/ 1 (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)))) into (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) 66.925 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (k n) around 0 66.925 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 66.925 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 66.925 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 66.925 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 66.925 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 66.925 * [taylor]: Taking taylor expansion of 1/2 in n 66.925 * [backup-simplify]: Simplify 1/2 into 1/2 66.925 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 66.925 * [taylor]: Taking taylor expansion of 1 in n 66.925 * [backup-simplify]: Simplify 1 into 1 66.925 * [taylor]: Taking taylor expansion of (/ 1 k) in n 66.925 * [taylor]: Taking taylor expansion of k in n 66.925 * [backup-simplify]: Simplify k into k 66.925 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 66.925 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 66.925 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 66.925 * [taylor]: Taking taylor expansion of 2 in n 66.925 * [backup-simplify]: Simplify 2 into 2 66.925 * [taylor]: Taking taylor expansion of (/ PI n) in n 66.925 * [taylor]: Taking taylor expansion of PI in n 66.925 * [backup-simplify]: Simplify PI into PI 66.925 * [taylor]: Taking taylor expansion of n in n 66.925 * [backup-simplify]: Simplify 0 into 0 66.925 * [backup-simplify]: Simplify 1 into 1 66.925 * [backup-simplify]: Simplify (/ PI 1) into PI 66.926 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 66.926 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 66.926 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 66.926 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 66.926 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 66.927 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 66.928 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 66.929 * [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))))) 66.929 * [taylor]: Taking taylor expansion of (sqrt k) in n 66.929 * [taylor]: Taking taylor expansion of k in n 66.929 * [backup-simplify]: Simplify k into k 66.929 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 66.929 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 66.929 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 66.929 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 66.929 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 66.929 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 66.929 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 66.929 * [taylor]: Taking taylor expansion of 1/2 in k 66.929 * [backup-simplify]: Simplify 1/2 into 1/2 66.929 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 66.929 * [taylor]: Taking taylor expansion of 1 in k 66.929 * [backup-simplify]: Simplify 1 into 1 66.929 * [taylor]: Taking taylor expansion of (/ 1 k) in k 66.929 * [taylor]: Taking taylor expansion of k in k 66.929 * [backup-simplify]: Simplify 0 into 0 66.929 * [backup-simplify]: Simplify 1 into 1 66.930 * [backup-simplify]: Simplify (/ 1 1) into 1 66.930 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 66.930 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 66.930 * [taylor]: Taking taylor expansion of 2 in k 66.930 * [backup-simplify]: Simplify 2 into 2 66.930 * [taylor]: Taking taylor expansion of (/ PI n) in k 66.930 * [taylor]: Taking taylor expansion of PI in k 66.930 * [backup-simplify]: Simplify PI into PI 66.930 * [taylor]: Taking taylor expansion of n in k 66.930 * [backup-simplify]: Simplify n into n 66.930 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 66.930 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 66.930 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 66.930 * [backup-simplify]: Simplify (- 1) into -1 66.930 * [backup-simplify]: Simplify (+ 0 -1) into -1 66.931 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 66.931 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 66.931 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 66.931 * [taylor]: Taking taylor expansion of (sqrt k) in k 66.931 * [taylor]: Taking taylor expansion of k in k 66.931 * [backup-simplify]: Simplify 0 into 0 66.931 * [backup-simplify]: Simplify 1 into 1 66.931 * [backup-simplify]: Simplify (sqrt 0) into 0 66.932 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 66.932 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 66.932 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 66.932 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 66.932 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 66.932 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 66.932 * [taylor]: Taking taylor expansion of 1/2 in k 66.932 * [backup-simplify]: Simplify 1/2 into 1/2 66.932 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 66.932 * [taylor]: Taking taylor expansion of 1 in k 66.932 * [backup-simplify]: Simplify 1 into 1 66.932 * [taylor]: Taking taylor expansion of (/ 1 k) in k 66.932 * [taylor]: Taking taylor expansion of k in k 66.932 * [backup-simplify]: Simplify 0 into 0 66.932 * [backup-simplify]: Simplify 1 into 1 66.933 * [backup-simplify]: Simplify (/ 1 1) into 1 66.933 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 66.933 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 66.933 * [taylor]: Taking taylor expansion of 2 in k 66.933 * [backup-simplify]: Simplify 2 into 2 66.933 * [taylor]: Taking taylor expansion of (/ PI n) in k 66.933 * [taylor]: Taking taylor expansion of PI in k 66.933 * [backup-simplify]: Simplify PI into PI 66.933 * [taylor]: Taking taylor expansion of n in k 66.933 * [backup-simplify]: Simplify n into n 66.933 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 66.933 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 66.933 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 66.933 * [backup-simplify]: Simplify (- 1) into -1 66.934 * [backup-simplify]: Simplify (+ 0 -1) into -1 66.934 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 66.934 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 66.934 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 66.934 * [taylor]: Taking taylor expansion of (sqrt k) in k 66.934 * [taylor]: Taking taylor expansion of k in k 66.934 * [backup-simplify]: Simplify 0 into 0 66.934 * [backup-simplify]: Simplify 1 into 1 66.935 * [backup-simplify]: Simplify (sqrt 0) into 0 66.935 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 66.936 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 0) into 0 66.936 * [taylor]: Taking taylor expansion of 0 in n 66.936 * [backup-simplify]: Simplify 0 into 0 66.936 * [backup-simplify]: Simplify 0 into 0 66.936 * [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)))))))) 66.936 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 66.936 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 66.936 * [taylor]: Taking taylor expansion of +nan.0 in n 66.936 * [backup-simplify]: Simplify +nan.0 into +nan.0 66.936 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 66.936 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 66.936 * [taylor]: Taking taylor expansion of 1/2 in n 66.936 * [backup-simplify]: Simplify 1/2 into 1/2 66.936 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 66.936 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 66.936 * [taylor]: Taking taylor expansion of 1 in n 66.936 * [backup-simplify]: Simplify 1 into 1 66.936 * [taylor]: Taking taylor expansion of (/ 1 k) in n 66.936 * [taylor]: Taking taylor expansion of k in n 66.936 * [backup-simplify]: Simplify k into k 66.936 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 66.936 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 66.936 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 66.936 * [taylor]: Taking taylor expansion of 2 in n 66.936 * [backup-simplify]: Simplify 2 into 2 66.936 * [taylor]: Taking taylor expansion of (/ PI n) in n 66.936 * [taylor]: Taking taylor expansion of PI in n 66.936 * [backup-simplify]: Simplify PI into PI 66.936 * [taylor]: Taking taylor expansion of n in n 66.937 * [backup-simplify]: Simplify 0 into 0 66.937 * [backup-simplify]: Simplify 1 into 1 66.937 * [backup-simplify]: Simplify (/ PI 1) into PI 66.937 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 66.938 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 66.938 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 66.938 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 66.939 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 66.939 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 66.940 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 66.941 * [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))))) 66.942 * [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)))))) 66.942 * [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))))))) 66.943 * [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))))))) 66.943 * [backup-simplify]: Simplify 0 into 0 66.945 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 66.946 * [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)))))))) 66.946 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 66.946 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 66.946 * [taylor]: Taking taylor expansion of +nan.0 in n 66.946 * [backup-simplify]: Simplify +nan.0 into +nan.0 66.946 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 66.946 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 66.946 * [taylor]: Taking taylor expansion of 1/2 in n 66.946 * [backup-simplify]: Simplify 1/2 into 1/2 66.946 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 66.946 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 66.946 * [taylor]: Taking taylor expansion of 1 in n 66.946 * [backup-simplify]: Simplify 1 into 1 66.946 * [taylor]: Taking taylor expansion of (/ 1 k) in n 66.946 * [taylor]: Taking taylor expansion of k in n 66.946 * [backup-simplify]: Simplify k into k 66.946 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 66.946 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 66.946 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 66.946 * [taylor]: Taking taylor expansion of 2 in n 66.946 * [backup-simplify]: Simplify 2 into 2 66.946 * [taylor]: Taking taylor expansion of (/ PI n) in n 66.946 * [taylor]: Taking taylor expansion of PI in n 66.946 * [backup-simplify]: Simplify PI into PI 66.946 * [taylor]: Taking taylor expansion of n in n 66.946 * [backup-simplify]: Simplify 0 into 0 66.946 * [backup-simplify]: Simplify 1 into 1 66.946 * [backup-simplify]: Simplify (/ PI 1) into PI 66.947 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 66.947 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 66.947 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 66.947 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 66.949 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 66.950 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 66.951 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 66.952 * [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))))) 66.953 * [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)))))) 66.954 * [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))))))) 66.956 * [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))))))) 66.957 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 66.957 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 66.959 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 66.959 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 66.960 * [backup-simplify]: Simplify (- 0) into 0 66.960 * [backup-simplify]: Simplify (+ 0 0) into 0 66.961 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 66.963 * [backup-simplify]: Simplify (+ (* (- 1 (/ 1 k)) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 66.964 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into 0 66.966 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 66.968 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into 0 66.968 * [backup-simplify]: Simplify (- 0) into 0 66.968 * [backup-simplify]: Simplify 0 into 0 66.968 * [backup-simplify]: Simplify 0 into 0 66.972 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 66.974 * [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)))))))) 66.974 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 66.974 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 66.974 * [taylor]: Taking taylor expansion of +nan.0 in n 66.974 * [backup-simplify]: Simplify +nan.0 into +nan.0 66.974 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 66.974 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 66.974 * [taylor]: Taking taylor expansion of 1/2 in n 66.974 * [backup-simplify]: Simplify 1/2 into 1/2 66.974 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 66.974 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 66.974 * [taylor]: Taking taylor expansion of 1 in n 66.974 * [backup-simplify]: Simplify 1 into 1 66.974 * [taylor]: Taking taylor expansion of (/ 1 k) in n 66.974 * [taylor]: Taking taylor expansion of k in n 66.974 * [backup-simplify]: Simplify k into k 66.974 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 66.974 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 66.974 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 66.974 * [taylor]: Taking taylor expansion of 2 in n 66.974 * [backup-simplify]: Simplify 2 into 2 66.974 * [taylor]: Taking taylor expansion of (/ PI n) in n 66.974 * [taylor]: Taking taylor expansion of PI in n 66.974 * [backup-simplify]: Simplify PI into PI 66.974 * [taylor]: Taking taylor expansion of n in n 66.974 * [backup-simplify]: Simplify 0 into 0 66.974 * [backup-simplify]: Simplify 1 into 1 66.975 * [backup-simplify]: Simplify (/ PI 1) into PI 66.975 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 66.976 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 66.976 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 66.976 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 66.978 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 66.979 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 66.980 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 66.981 * [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))))) 66.982 * [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)))))) 66.983 * [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))))))) 66.985 * [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))))))) 66.989 * [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)))))))) 66.990 * [backup-simplify]: Simplify (/ 1 (/ (sqrt (/ 1 (- k))) (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)))) into (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) 66.990 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (k n) around 0 66.990 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 66.990 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 66.990 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 66.990 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 66.990 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 66.990 * [taylor]: Taking taylor expansion of 1/2 in n 66.990 * [backup-simplify]: Simplify 1/2 into 1/2 66.990 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 66.990 * [taylor]: Taking taylor expansion of (/ 1 k) in n 66.990 * [taylor]: Taking taylor expansion of k in n 66.990 * [backup-simplify]: Simplify k into k 66.990 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 66.990 * [taylor]: Taking taylor expansion of 1 in n 66.990 * [backup-simplify]: Simplify 1 into 1 66.990 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 66.990 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 66.990 * [taylor]: Taking taylor expansion of -2 in n 66.990 * [backup-simplify]: Simplify -2 into -2 66.990 * [taylor]: Taking taylor expansion of (/ PI n) in n 66.990 * [taylor]: Taking taylor expansion of PI in n 66.990 * [backup-simplify]: Simplify PI into PI 66.990 * [taylor]: Taking taylor expansion of n in n 66.990 * [backup-simplify]: Simplify 0 into 0 66.990 * [backup-simplify]: Simplify 1 into 1 66.991 * [backup-simplify]: Simplify (/ PI 1) into PI 66.991 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 66.992 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 66.993 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 66.993 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 66.994 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 66.995 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 66.996 * [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))))) 66.996 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 66.996 * [taylor]: Taking taylor expansion of (/ -1 k) in n 66.996 * [taylor]: Taking taylor expansion of -1 in n 66.996 * [backup-simplify]: Simplify -1 into -1 66.996 * [taylor]: Taking taylor expansion of k in n 66.997 * [backup-simplify]: Simplify k into k 66.997 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 66.997 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 66.997 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 66.997 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 66.998 * [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))) 66.998 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 66.998 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 66.998 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 66.998 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 66.998 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 66.998 * [taylor]: Taking taylor expansion of 1/2 in k 66.998 * [backup-simplify]: Simplify 1/2 into 1/2 66.998 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 66.998 * [taylor]: Taking taylor expansion of (/ 1 k) in k 66.998 * [taylor]: Taking taylor expansion of k in k 66.998 * [backup-simplify]: Simplify 0 into 0 66.999 * [backup-simplify]: Simplify 1 into 1 66.999 * [backup-simplify]: Simplify (/ 1 1) into 1 66.999 * [taylor]: Taking taylor expansion of 1 in k 66.999 * [backup-simplify]: Simplify 1 into 1 66.999 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 66.999 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 66.999 * [taylor]: Taking taylor expansion of -2 in k 66.999 * [backup-simplify]: Simplify -2 into -2 66.999 * [taylor]: Taking taylor expansion of (/ PI n) in k 66.999 * [taylor]: Taking taylor expansion of PI in k 66.999 * [backup-simplify]: Simplify PI into PI 66.999 * [taylor]: Taking taylor expansion of n in k 66.999 * [backup-simplify]: Simplify n into n 66.999 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 66.999 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 66.999 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 67.000 * [backup-simplify]: Simplify (+ 1 0) into 1 67.000 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 67.000 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 67.001 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 67.001 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 67.001 * [taylor]: Taking taylor expansion of (/ -1 k) in k 67.001 * [taylor]: Taking taylor expansion of -1 in k 67.001 * [backup-simplify]: Simplify -1 into -1 67.001 * [taylor]: Taking taylor expansion of k in k 67.001 * [backup-simplify]: Simplify 0 into 0 67.001 * [backup-simplify]: Simplify 1 into 1 67.001 * [backup-simplify]: Simplify (/ -1 1) into -1 67.002 * [backup-simplify]: Simplify (sqrt 0) into 0 67.003 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 67.003 * [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))))) 67.003 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 67.003 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 67.003 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 67.004 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 67.004 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 67.004 * [taylor]: Taking taylor expansion of 1/2 in k 67.004 * [backup-simplify]: Simplify 1/2 into 1/2 67.004 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 67.004 * [taylor]: Taking taylor expansion of (/ 1 k) in k 67.004 * [taylor]: Taking taylor expansion of k in k 67.004 * [backup-simplify]: Simplify 0 into 0 67.004 * [backup-simplify]: Simplify 1 into 1 67.004 * [backup-simplify]: Simplify (/ 1 1) into 1 67.004 * [taylor]: Taking taylor expansion of 1 in k 67.004 * [backup-simplify]: Simplify 1 into 1 67.004 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 67.004 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 67.004 * [taylor]: Taking taylor expansion of -2 in k 67.004 * [backup-simplify]: Simplify -2 into -2 67.004 * [taylor]: Taking taylor expansion of (/ PI n) in k 67.004 * [taylor]: Taking taylor expansion of PI in k 67.004 * [backup-simplify]: Simplify PI into PI 67.004 * [taylor]: Taking taylor expansion of n in k 67.004 * [backup-simplify]: Simplify n into n 67.005 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 67.005 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 67.005 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 67.005 * [backup-simplify]: Simplify (+ 1 0) into 1 67.006 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 67.006 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 67.006 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 67.006 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 67.006 * [taylor]: Taking taylor expansion of (/ -1 k) in k 67.006 * [taylor]: Taking taylor expansion of -1 in k 67.006 * [backup-simplify]: Simplify -1 into -1 67.006 * [taylor]: Taking taylor expansion of k in k 67.006 * [backup-simplify]: Simplify 0 into 0 67.006 * [backup-simplify]: Simplify 1 into 1 67.007 * [backup-simplify]: Simplify (/ -1 1) into -1 67.007 * [backup-simplify]: Simplify (sqrt 0) into 0 67.008 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 67.009 * [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))))) 67.009 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 67.009 * [taylor]: Taking taylor expansion of +nan.0 in n 67.009 * [backup-simplify]: Simplify +nan.0 into +nan.0 67.009 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 67.009 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 67.009 * [taylor]: Taking taylor expansion of 1/2 in n 67.009 * [backup-simplify]: Simplify 1/2 into 1/2 67.009 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 67.009 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 67.009 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 67.009 * [taylor]: Taking taylor expansion of -2 in n 67.009 * [backup-simplify]: Simplify -2 into -2 67.009 * [taylor]: Taking taylor expansion of (/ PI n) in n 67.009 * [taylor]: Taking taylor expansion of PI in n 67.009 * [backup-simplify]: Simplify PI into PI 67.009 * [taylor]: Taking taylor expansion of n in n 67.009 * [backup-simplify]: Simplify 0 into 0 67.009 * [backup-simplify]: Simplify 1 into 1 67.010 * [backup-simplify]: Simplify (/ PI 1) into PI 67.010 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 67.011 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 67.011 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 67.011 * [taylor]: Taking taylor expansion of (/ 1 k) in n 67.011 * [taylor]: Taking taylor expansion of k in n 67.011 * [backup-simplify]: Simplify k into k 67.011 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 67.011 * [taylor]: Taking taylor expansion of 1 in n 67.011 * [backup-simplify]: Simplify 1 into 1 67.013 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 67.013 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 67.014 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 67.015 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 67.016 * [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))))) 67.017 * [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)))))) 67.019 * [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)))))) 67.022 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 67.026 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 67.027 * [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)))))) 67.027 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n 67.027 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 67.027 * [taylor]: Taking taylor expansion of +nan.0 in n 67.027 * [backup-simplify]: Simplify +nan.0 into +nan.0 67.027 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 67.027 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 67.027 * [taylor]: Taking taylor expansion of 1/2 in n 67.027 * [backup-simplify]: Simplify 1/2 into 1/2 67.027 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 67.027 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 67.027 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 67.027 * [taylor]: Taking taylor expansion of -2 in n 67.027 * [backup-simplify]: Simplify -2 into -2 67.027 * [taylor]: Taking taylor expansion of (/ PI n) in n 67.027 * [taylor]: Taking taylor expansion of PI in n 67.027 * [backup-simplify]: Simplify PI into PI 67.027 * [taylor]: Taking taylor expansion of n in n 67.027 * [backup-simplify]: Simplify 0 into 0 67.027 * [backup-simplify]: Simplify 1 into 1 67.028 * [backup-simplify]: Simplify (/ PI 1) into PI 67.028 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 67.029 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 67.029 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 67.029 * [taylor]: Taking taylor expansion of (/ 1 k) in n 67.029 * [taylor]: Taking taylor expansion of k in n 67.029 * [backup-simplify]: Simplify k into k 67.030 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 67.030 * [taylor]: Taking taylor expansion of 1 in n 67.030 * [backup-simplify]: Simplify 1 into 1 67.031 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 67.031 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 67.032 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 67.033 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 67.034 * [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))))) 67.036 * [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)))))) 67.037 * [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))))))) 67.038 * [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))))))) 67.040 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 67.040 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 67.040 * [backup-simplify]: Simplify (+ 0 0) into 0 67.041 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 67.042 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 67.044 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 67.045 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (/ 1 k) 1))) into 0 67.047 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into 0 67.049 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 67.050 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into 0 67.050 * [backup-simplify]: Simplify 0 into 0 67.052 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 67.056 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 67.058 * [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)))))) 67.058 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n 67.058 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 67.058 * [taylor]: Taking taylor expansion of +nan.0 in n 67.058 * [backup-simplify]: Simplify +nan.0 into +nan.0 67.058 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 67.058 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 67.058 * [taylor]: Taking taylor expansion of 1/2 in n 67.058 * [backup-simplify]: Simplify 1/2 into 1/2 67.058 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 67.058 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 67.058 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 67.058 * [taylor]: Taking taylor expansion of -2 in n 67.058 * [backup-simplify]: Simplify -2 into -2 67.058 * [taylor]: Taking taylor expansion of (/ PI n) in n 67.058 * [taylor]: Taking taylor expansion of PI in n 67.058 * [backup-simplify]: Simplify PI into PI 67.058 * [taylor]: Taking taylor expansion of n in n 67.058 * [backup-simplify]: Simplify 0 into 0 67.058 * [backup-simplify]: Simplify 1 into 1 67.059 * [backup-simplify]: Simplify (/ PI 1) into PI 67.059 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 67.060 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 67.060 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 67.060 * [taylor]: Taking taylor expansion of (/ 1 k) in n 67.060 * [taylor]: Taking taylor expansion of k in n 67.060 * [backup-simplify]: Simplify k into k 67.060 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 67.060 * [taylor]: Taking taylor expansion of 1 in n 67.060 * [backup-simplify]: Simplify 1 into 1 67.062 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 67.062 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 67.063 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 67.064 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 67.065 * [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))))) 67.066 * [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)))))) 67.068 * [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))))))) 67.069 * [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))))))) 67.073 * [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)))))))))))) 67.073 * * * [progress]: simplifying candidates 67.073 * * * * [progress]: [ 1 / 315 ] simplifiying candidate # 67.073 * * * * [progress]: [ 2 / 315 ] simplifiying candidate # 67.073 * * * * [progress]: [ 3 / 315 ] simplifiying candidate # 67.073 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) 67.073 * * [simplify]: iters left: 6 (13 enodes) 67.081 * * [simplify]: iters left: 5 (54 enodes) 67.099 * * [simplify]: iters left: 4 (97 enodes) 67.137 * * [simplify]: iters left: 3 (250 enodes) 67.238 * * [simplify]: Extracting #0: cost 1 inf + 0 67.238 * * [simplify]: Extracting #1: cost 34 inf + 0 67.239 * * [simplify]: Extracting #2: cost 100 inf + 73 67.242 * * [simplify]: Extracting #3: cost 126 inf + 1867 67.245 * * [simplify]: Extracting #4: cost 46 inf + 20363 67.251 * * [simplify]: Extracting #5: cost 5 inf + 31901 67.262 * * [simplify]: Extracting #6: cost 0 inf + 33789 67.276 * [simplify]: Simplified to (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2) 67.276 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (exp (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2))))) 67.277 * * * * [progress]: [ 4 / 315 ] simplifiying candidate # 67.277 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) 67.277 * * [simplify]: iters left: 6 (12 enodes) 67.284 * * [simplify]: iters left: 5 (52 enodes) 67.297 * * [simplify]: iters left: 4 (90 enodes) 67.314 * * [simplify]: iters left: 3 (207 enodes) 67.419 * * [simplify]: Extracting #0: cost 1 inf + 0 67.420 * * [simplify]: Extracting #1: cost 29 inf + 0 67.420 * * [simplify]: Extracting #2: cost 88 inf + 73 67.421 * * [simplify]: Extracting #3: cost 117 inf + 443 67.423 * * [simplify]: Extracting #4: cost 77 inf + 5789 67.430 * * [simplify]: Extracting #5: cost 28 inf + 17508 67.441 * * [simplify]: Extracting #6: cost 0 inf + 26056 67.452 * [simplify]: Simplified to (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) 67.452 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (exp (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2))))) 67.452 * * * * [progress]: [ 5 / 315 ] simplifiying candidate # 67.453 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) 67.453 * * [simplify]: iters left: 6 (11 enodes) 67.460 * * [simplify]: iters left: 5 (51 enodes) 67.481 * * [simplify]: iters left: 4 (97 enodes) 67.510 * * [simplify]: iters left: 3 (201 enodes) 67.566 * * [simplify]: Extracting #0: cost 1 inf + 0 67.567 * * [simplify]: Extracting #1: cost 31 inf + 0 67.567 * * [simplify]: Extracting #2: cost 94 inf + 2 67.569 * * [simplify]: Extracting #3: cost 127 inf + 355 67.571 * * [simplify]: Extracting #4: cost 75 inf + 7402 67.577 * * [simplify]: Extracting #5: cost 31 inf + 16283 67.587 * * [simplify]: Extracting #6: cost 3 inf + 23308 67.595 * * [simplify]: Extracting #7: cost 0 inf + 24140 67.600 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) 67.600 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2))))) 67.600 * * * * [progress]: [ 6 / 315 ] simplifiying candidate # 67.600 * * * * [progress]: [ 7 / 315 ] simplifiying candidate # 67.600 * [simplify]: Simplifying (* n (* 2 PI)) 67.600 * * [simplify]: iters left: 4 (5 enodes) 67.602 * * [simplify]: iters left: 3 (19 enodes) 67.605 * * [simplify]: iters left: 2 (27 enodes) 67.609 * * [simplify]: iters left: 1 (32 enodes) 67.613 * * [simplify]: Extracting #0: cost 1 inf + 0 67.613 * * [simplify]: Extracting #1: cost 8 inf + 0 67.613 * * [simplify]: Extracting #2: cost 7 inf + 45 67.613 * * [simplify]: Extracting #3: cost 0 inf + 421 67.613 * [simplify]: Simplified to (* (* PI 2) n) 67.613 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2)))))) 67.613 * * * * [progress]: [ 8 / 315 ] simplifiying candidate # 67.614 * [simplify]: Simplifying (* n (* 2 PI)) 67.614 * * [simplify]: iters left: 4 (5 enodes) 67.615 * * [simplify]: iters left: 3 (19 enodes) 67.618 * * [simplify]: iters left: 2 (27 enodes) 67.623 * * [simplify]: iters left: 1 (32 enodes) 67.629 * * [simplify]: Extracting #0: cost 1 inf + 0 67.630 * * [simplify]: Extracting #1: cost 8 inf + 0 67.630 * * [simplify]: Extracting #2: cost 7 inf + 45 67.630 * * [simplify]: Extracting #3: cost 0 inf + 421 67.630 * [simplify]: Simplified to (* (* PI 2) n) 67.630 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2)))))) 67.630 * * * * [progress]: [ 9 / 315 ] simplifiying candidate # 67.631 * [simplify]: Simplifying (* n (* 2 PI)) 67.631 * * [simplify]: iters left: 4 (5 enodes) 67.634 * * [simplify]: iters left: 3 (19 enodes) 67.639 * * [simplify]: iters left: 2 (27 enodes) 67.648 * * [simplify]: iters left: 1 (32 enodes) 67.654 * * [simplify]: Extracting #0: cost 1 inf + 0 67.654 * * [simplify]: Extracting #1: cost 8 inf + 0 67.654 * * [simplify]: Extracting #2: cost 7 inf + 45 67.654 * * [simplify]: Extracting #3: cost 0 inf + 421 67.654 * [simplify]: Simplified to (* (* PI 2) n) 67.654 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2)))))) 67.654 * * * * [progress]: [ 10 / 315 ] simplifiying candidate # 67.654 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ k 2)) 67.654 * * [simplify]: iters left: 5 (8 enodes) 67.656 * * [simplify]: iters left: 4 (31 enodes) 67.661 * * [simplify]: iters left: 3 (51 enodes) 67.672 * * [simplify]: iters left: 2 (85 enodes) 67.686 * * [simplify]: iters left: 1 (152 enodes) 67.736 * * [simplify]: Extracting #0: cost 1 inf + 0 67.737 * * [simplify]: Extracting #1: cost 13 inf + 0 67.737 * * [simplify]: Extracting #2: cost 59 inf + 1 67.737 * * [simplify]: Extracting #3: cost 76 inf + 9 67.739 * * [simplify]: Extracting #4: cost 41 inf + 3303 67.742 * * [simplify]: Extracting #5: cost 16 inf + 10676 67.747 * * [simplify]: Extracting #6: cost 0 inf + 21028 67.752 * * [simplify]: Extracting #7: cost 0 inf + 20456 67.758 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 67.758 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (/ (pow (* n (* 2 PI)) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))))) 67.758 * * * * [progress]: [ 11 / 315 ] simplifiying candidate # 67.758 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2)) 67.758 * * [simplify]: iters left: 5 (6 enodes) 67.762 * * [simplify]: iters left: 4 (26 enodes) 67.772 * * [simplify]: iters left: 3 (35 enodes) 67.785 * * [simplify]: Extracting #0: cost 1 inf + 0 67.785 * * [simplify]: Extracting #1: cost 3 inf + 0 67.785 * * [simplify]: Extracting #2: cost 8 inf + 0 67.785 * * [simplify]: Extracting #3: cost 11 inf + 2 67.785 * * [simplify]: Extracting #4: cost 8 inf + 87 67.786 * * [simplify]: Extracting #5: cost 2 inf + 500 67.786 * * [simplify]: Extracting #6: cost 0 inf + 746 67.786 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2)) 67.786 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2)))))) 67.787 * * * * [progress]: [ 12 / 315 ] simplifiying candidate # 67.787 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2)) 67.787 * * [simplify]: iters left: 5 (6 enodes) 67.791 * * [simplify]: iters left: 4 (26 enodes) 67.800 * * [simplify]: iters left: 3 (35 enodes) 67.810 * * [simplify]: Extracting #0: cost 1 inf + 0 67.810 * * [simplify]: Extracting #1: cost 3 inf + 0 67.810 * * [simplify]: Extracting #2: cost 8 inf + 0 67.810 * * [simplify]: Extracting #3: cost 11 inf + 2 67.810 * * [simplify]: Extracting #4: cost 8 inf + 87 67.810 * * [simplify]: Extracting #5: cost 2 inf + 460 67.811 * * [simplify]: Extracting #6: cost 0 inf + 666 67.811 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2)) 67.811 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2)))))) 67.811 * * * * [progress]: [ 13 / 315 ] simplifiying candidate # 67.812 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2)) 67.812 * * [simplify]: iters left: 5 (7 enodes) 67.816 * * [simplify]: iters left: 4 (25 enodes) 67.824 * * [simplify]: iters left: 3 (30 enodes) 67.834 * * [simplify]: Extracting #0: cost 1 inf + 0 67.834 * * [simplify]: Extracting #1: cost 4 inf + 0 67.834 * * [simplify]: Extracting #2: cost 8 inf + 0 67.834 * * [simplify]: Extracting #3: cost 10 inf + 82 67.834 * * [simplify]: Extracting #4: cost 7 inf + 206 67.834 * * [simplify]: Extracting #5: cost 2 inf + 575 67.835 * * [simplify]: Extracting #6: cost 1 inf + 818 67.835 * * [simplify]: Extracting #7: cost 0 inf + 1061 67.835 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2)) 67.835 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2)))))) 67.836 * * * * [progress]: [ 14 / 315 ] simplifiying candidate # 67.836 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2)) 67.836 * * [simplify]: iters left: 5 (7 enodes) 67.840 * * [simplify]: iters left: 4 (25 enodes) 67.849 * * [simplify]: iters left: 3 (30 enodes) 67.858 * * [simplify]: Extracting #0: cost 1 inf + 0 67.858 * * [simplify]: Extracting #1: cost 4 inf + 0 67.858 * * [simplify]: Extracting #2: cost 8 inf + 0 67.858 * * [simplify]: Extracting #3: cost 10 inf + 42 67.858 * * [simplify]: Extracting #4: cost 7 inf + 126 67.858 * * [simplify]: Extracting #5: cost 2 inf + 495 67.859 * * [simplify]: Extracting #6: cost 1 inf + 698 67.859 * * [simplify]: Extracting #7: cost 0 inf + 901 67.859 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2)) 67.859 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2)))))) 67.860 * * * * [progress]: [ 15 / 315 ] simplifiying candidate # 67.860 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2) 67.860 * * [simplify]: iters left: 5 (6 enodes) 67.863 * * [simplify]: iters left: 4 (22 enodes) 67.871 * * [simplify]: iters left: 3 (27 enodes) 67.879 * * [simplify]: Extracting #0: cost 1 inf + 0 67.879 * * [simplify]: Extracting #1: cost 4 inf + 0 67.879 * * [simplify]: Extracting #2: cost 5 inf + 1 67.879 * * [simplify]: Extracting #3: cost 9 inf + 1 67.879 * * [simplify]: Extracting #4: cost 8 inf + 3 67.879 * * [simplify]: Extracting #5: cost 4 inf + 169 67.880 * * [simplify]: Extracting #6: cost 1 inf + 576 67.880 * * [simplify]: Extracting #7: cost 0 inf + 739 67.880 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 67.880 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2))))) 67.880 * * * * [progress]: [ 16 / 315 ] simplifiying candidate # 67.881 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2)) 67.881 * * [simplify]: iters left: 5 (7 enodes) 67.885 * * [simplify]: iters left: 4 (25 enodes) 67.894 * * [simplify]: iters left: 3 (30 enodes) 67.903 * * [simplify]: Extracting #0: cost 1 inf + 0 67.903 * * [simplify]: Extracting #1: cost 4 inf + 0 67.903 * * [simplify]: Extracting #2: cost 8 inf + 0 67.903 * * [simplify]: Extracting #3: cost 10 inf + 82 67.903 * * [simplify]: Extracting #4: cost 7 inf + 206 67.903 * * [simplify]: Extracting #5: cost 2 inf + 495 67.904 * * [simplify]: Extracting #6: cost 1 inf + 698 67.904 * * [simplify]: Extracting #7: cost 0 inf + 901 67.904 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2)) 67.904 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2)))))) 67.904 * * * * [progress]: [ 17 / 315 ] simplifiying candidate # 67.905 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2)) 67.905 * * [simplify]: iters left: 5 (7 enodes) 67.909 * * [simplify]: iters left: 4 (25 enodes) 67.917 * * [simplify]: iters left: 3 (30 enodes) 67.923 * * [simplify]: Extracting #0: cost 1 inf + 0 67.923 * * [simplify]: Extracting #1: cost 4 inf + 0 67.923 * * [simplify]: Extracting #2: cost 8 inf + 0 67.923 * * [simplify]: Extracting #3: cost 10 inf + 42 67.923 * * [simplify]: Extracting #4: cost 7 inf + 126 67.924 * * [simplify]: Extracting #5: cost 2 inf + 415 67.924 * * [simplify]: Extracting #6: cost 1 inf + 578 67.924 * * [simplify]: Extracting #7: cost 0 inf + 741 67.924 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2)) 67.924 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2)))))) 67.924 * * * * [progress]: [ 18 / 315 ] simplifiying candidate # 67.924 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2) 67.925 * * [simplify]: iters left: 5 (6 enodes) 67.927 * * [simplify]: iters left: 4 (22 enodes) 67.932 * * [simplify]: iters left: 3 (27 enodes) 67.936 * * [simplify]: Extracting #0: cost 1 inf + 0 67.936 * * [simplify]: Extracting #1: cost 4 inf + 0 67.936 * * [simplify]: Extracting #2: cost 5 inf + 1 67.936 * * [simplify]: Extracting #3: cost 9 inf + 1 67.936 * * [simplify]: Extracting #4: cost 8 inf + 3 67.936 * * [simplify]: Extracting #5: cost 4 inf + 169 67.936 * * [simplify]: Extracting #6: cost 1 inf + 456 67.936 * * [simplify]: Extracting #7: cost 0 inf + 579 67.937 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 67.937 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2))))) 67.937 * * * * [progress]: [ 19 / 315 ] simplifiying candidate # 67.937 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 67.937 * * [simplify]: iters left: 4 (6 enodes) 67.939 * * [simplify]: iters left: 3 (25 enodes) 67.948 * * [simplify]: iters left: 2 (36 enodes) 67.959 * * [simplify]: iters left: 1 (40 enodes) 67.970 * * [simplify]: Extracting #0: cost 1 inf + 0 67.970 * * [simplify]: Extracting #1: cost 7 inf + 0 67.971 * * [simplify]: Extracting #2: cost 16 inf + 0 67.971 * * [simplify]: Extracting #3: cost 13 inf + 44 67.971 * * [simplify]: Extracting #4: cost 3 inf + 1103 67.971 * * [simplify]: Extracting #5: cost 0 inf + 1469 67.972 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 67.972 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2)))))) 67.972 * * * * [progress]: [ 20 / 315 ] simplifiying candidate # 67.972 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 67.973 * * [simplify]: iters left: 4 (6 enodes) 67.976 * * [simplify]: iters left: 3 (25 enodes) 67.985 * * [simplify]: iters left: 2 (36 enodes) 67.997 * * [simplify]: iters left: 1 (40 enodes) 68.008 * * [simplify]: Extracting #0: cost 1 inf + 0 68.008 * * [simplify]: Extracting #1: cost 7 inf + 0 68.008 * * [simplify]: Extracting #2: cost 16 inf + 0 68.008 * * [simplify]: Extracting #3: cost 13 inf + 44 68.009 * * [simplify]: Extracting #4: cost 3 inf + 823 68.009 * * [simplify]: Extracting #5: cost 0 inf + 1069 68.010 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 68.010 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2)))))) 68.010 * * * * [progress]: [ 21 / 315 ] simplifiying candidate # 68.010 * [simplify]: Simplifying (/ (- 1 k) 2) 68.010 * * [simplify]: iters left: 4 (5 enodes) 68.014 * * [simplify]: iters left: 3 (23 enodes) 68.022 * * [simplify]: iters left: 2 (32 enodes) 68.031 * * [simplify]: Extracting #0: cost 1 inf + 0 68.032 * * [simplify]: Extracting #1: cost 6 inf + 0 68.032 * * [simplify]: Extracting #2: cost 9 inf + 2 68.032 * * [simplify]: Extracting #3: cost 6 inf + 87 68.032 * * [simplify]: Extracting #4: cost 0 inf + 420 68.032 * [simplify]: Simplified to (/ (- 1 k) 2) 68.032 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2))))) 68.032 * * * * [progress]: [ 22 / 315 ] simplifiying candidate # 68.033 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 68.033 * * [simplify]: iters left: 5 (8 enodes) 68.038 * * [simplify]: iters left: 4 (31 enodes) 68.048 * * [simplify]: iters left: 3 (45 enodes) 68.060 * * [simplify]: iters left: 2 (51 enodes) 68.069 * * [simplify]: iters left: 1 (52 enodes) 68.076 * * [simplify]: Extracting #0: cost 1 inf + 0 68.076 * * [simplify]: Extracting #1: cost 8 inf + 0 68.076 * * [simplify]: Extracting #2: cost 18 inf + 0 68.076 * * [simplify]: Extracting #3: cost 19 inf + 2 68.076 * * [simplify]: Extracting #4: cost 9 inf + 977 68.077 * * [simplify]: Extracting #5: cost 2 inf + 1790 68.077 * * [simplify]: Extracting #6: cost 0 inf + 2195 68.077 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 68.077 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2)))))) 68.078 * * * * [progress]: [ 23 / 315 ] simplifiying candidate # 68.078 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 68.078 * * [simplify]: iters left: 5 (8 enodes) 68.081 * * [simplify]: iters left: 4 (31 enodes) 68.086 * * [simplify]: iters left: 3 (45 enodes) 68.097 * * [simplify]: iters left: 2 (51 enodes) 68.111 * * [simplify]: iters left: 1 (52 enodes) 68.125 * * [simplify]: Extracting #0: cost 1 inf + 0 68.125 * * [simplify]: Extracting #1: cost 8 inf + 0 68.125 * * [simplify]: Extracting #2: cost 18 inf + 0 68.125 * * [simplify]: Extracting #3: cost 19 inf + 2 68.126 * * [simplify]: Extracting #4: cost 9 inf + 697 68.126 * * [simplify]: Extracting #5: cost 2 inf + 1390 68.127 * * [simplify]: Extracting #6: cost 0 inf + 1715 68.128 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 68.128 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2)))))) 68.128 * * * * [progress]: [ 24 / 315 ] simplifiying candidate # 68.128 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 68.128 * * [simplify]: iters left: 5 (7 enodes) 68.133 * * [simplify]: iters left: 4 (29 enodes) 68.143 * * [simplify]: iters left: 3 (43 enodes) 68.149 * * [simplify]: iters left: 2 (47 enodes) 68.155 * * [simplify]: Extracting #0: cost 1 inf + 0 68.155 * * [simplify]: Extracting #1: cost 7 inf + 0 68.155 * * [simplify]: Extracting #2: cost 11 inf + 2 68.155 * * [simplify]: Extracting #3: cost 13 inf + 3 68.155 * * [simplify]: Extracting #4: cost 11 inf + 45 68.155 * * [simplify]: Extracting #5: cost 0 inf + 1066 68.156 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 68.156 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) 68.156 * * * * [progress]: [ 25 / 315 ] simplifiying candidate # 68.156 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 68.156 * * [simplify]: iters left: 5 (7 enodes) 68.158 * * [simplify]: iters left: 4 (28 enodes) 68.163 * * [simplify]: iters left: 3 (39 enodes) 68.169 * * [simplify]: iters left: 2 (43 enodes) 68.181 * * [simplify]: Extracting #0: cost 1 inf + 0 68.181 * * [simplify]: Extracting #1: cost 7 inf + 0 68.181 * * [simplify]: Extracting #2: cost 16 inf + 0 68.182 * * [simplify]: Extracting #3: cost 15 inf + 164 68.182 * * [simplify]: Extracting #4: cost 13 inf + 287 68.182 * * [simplify]: Extracting #5: cost 5 inf + 1180 68.183 * * [simplify]: Extracting #6: cost 0 inf + 1951 68.183 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 68.183 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2)))))) 68.183 * * * * [progress]: [ 26 / 315 ] simplifiying candidate # 68.184 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 68.184 * * [simplify]: iters left: 5 (7 enodes) 68.189 * * [simplify]: iters left: 4 (28 enodes) 68.198 * * [simplify]: iters left: 3 (39 enodes) 68.210 * * [simplify]: iters left: 2 (43 enodes) 68.223 * * [simplify]: Extracting #0: cost 1 inf + 0 68.223 * * [simplify]: Extracting #1: cost 7 inf + 0 68.223 * * [simplify]: Extracting #2: cost 16 inf + 0 68.223 * * [simplify]: Extracting #3: cost 15 inf + 84 68.223 * * [simplify]: Extracting #4: cost 13 inf + 167 68.223 * * [simplify]: Extracting #5: cost 5 inf + 900 68.224 * * [simplify]: Extracting #6: cost 0 inf + 1551 68.224 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 68.225 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2)))))) 68.225 * * * * [progress]: [ 27 / 315 ] simplifiying candidate # 68.225 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 68.225 * * [simplify]: iters left: 5 (6 enodes) 68.229 * * [simplify]: iters left: 4 (26 enodes) 68.238 * * [simplify]: iters left: 3 (35 enodes) 68.248 * * [simplify]: Extracting #0: cost 1 inf + 0 68.248 * * [simplify]: Extracting #1: cost 6 inf + 0 68.248 * * [simplify]: Extracting #2: cost 9 inf + 2 68.248 * * [simplify]: Extracting #3: cost 11 inf + 3 68.248 * * [simplify]: Extracting #4: cost 10 inf + 4 68.248 * * [simplify]: Extracting #5: cost 3 inf + 535 68.248 * * [simplify]: Extracting #6: cost 0 inf + 822 68.248 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 68.248 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) 68.248 * * * * [progress]: [ 28 / 315 ] simplifiying candidate # 68.249 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 68.249 * * [simplify]: iters left: 4 (6 enodes) 68.251 * * [simplify]: iters left: 3 (25 enodes) 68.255 * * [simplify]: iters left: 2 (36 enodes) 68.260 * * [simplify]: iters left: 1 (40 enodes) 68.266 * * [simplify]: Extracting #0: cost 1 inf + 0 68.266 * * [simplify]: Extracting #1: cost 7 inf + 0 68.266 * * [simplify]: Extracting #2: cost 16 inf + 0 68.267 * * [simplify]: Extracting #3: cost 13 inf + 44 68.267 * * [simplify]: Extracting #4: cost 3 inf + 1103 68.267 * * [simplify]: Extracting #5: cost 0 inf + 1469 68.267 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 68.267 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2)))))) 68.267 * * * * [progress]: [ 29 / 315 ] simplifiying candidate # 68.268 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 68.268 * * [simplify]: iters left: 4 (6 enodes) 68.270 * * [simplify]: iters left: 3 (25 enodes) 68.274 * * [simplify]: iters left: 2 (36 enodes) 68.280 * * [simplify]: iters left: 1 (40 enodes) 68.292 * * [simplify]: Extracting #0: cost 1 inf + 0 68.292 * * [simplify]: Extracting #1: cost 7 inf + 0 68.292 * * [simplify]: Extracting #2: cost 16 inf + 0 68.292 * * [simplify]: Extracting #3: cost 13 inf + 44 68.292 * * [simplify]: Extracting #4: cost 3 inf + 823 68.293 * * [simplify]: Extracting #5: cost 0 inf + 1069 68.293 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 68.293 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2)))))) 68.293 * * * * [progress]: [ 30 / 315 ] simplifiying candidate # 68.294 * [simplify]: Simplifying (/ (- 1 k) 2) 68.294 * * [simplify]: iters left: 4 (5 enodes) 68.297 * * [simplify]: iters left: 3 (23 enodes) 68.308 * * [simplify]: iters left: 2 (32 enodes) 68.317 * * [simplify]: Extracting #0: cost 1 inf + 0 68.317 * * [simplify]: Extracting #1: cost 6 inf + 0 68.317 * * [simplify]: Extracting #2: cost 9 inf + 2 68.317 * * [simplify]: Extracting #3: cost 6 inf + 87 68.318 * * [simplify]: Extracting #4: cost 0 inf + 420 68.318 * [simplify]: Simplified to (/ (- 1 k) 2) 68.318 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2))))) 68.318 * * * * [progress]: [ 31 / 315 ] simplifiying candidate # 68.318 * [simplify]: Simplifying (/ (- 1 k) 2) 68.318 * * [simplify]: iters left: 4 (5 enodes) 68.322 * * [simplify]: iters left: 3 (23 enodes) 68.330 * * [simplify]: iters left: 2 (32 enodes) 68.340 * * [simplify]: Extracting #0: cost 1 inf + 0 68.340 * * [simplify]: Extracting #1: cost 6 inf + 0 68.340 * * [simplify]: Extracting #2: cost 9 inf + 2 68.340 * * [simplify]: Extracting #3: cost 6 inf + 87 68.341 * * [simplify]: Extracting #4: cost 0 inf + 420 68.341 * [simplify]: Simplified to (/ (- 1 k) 2) 68.341 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2))))) 68.341 * * * * [progress]: [ 32 / 315 ] simplifiying candidate # 68.341 * [simplify]: Simplifying (/ 1 2) 68.341 * * [simplify]: iters left: 2 (3 enodes) 68.345 * * [simplify]: iters left: 1 (12 enodes) 68.349 * * [simplify]: Extracting #0: cost 1 inf + 0 68.350 * * [simplify]: Extracting #1: cost 0 inf + 1 68.350 * [simplify]: Simplified to 1/2 68.350 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (- 1 k)) 1/2)))) 68.350 * * * * [progress]: [ 33 / 315 ] simplifiying candidate # 68.350 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 68.350 * * [simplify]: iters left: 5 (7 enodes) 68.355 * * [simplify]: iters left: 4 (32 enodes) 68.366 * * [simplify]: iters left: 3 (57 enodes) 68.384 * * [simplify]: iters left: 2 (88 enodes) 68.415 * * [simplify]: iters left: 1 (156 enodes) 68.461 * * [simplify]: Extracting #0: cost 1 inf + 0 68.461 * * [simplify]: Extracting #1: cost 13 inf + 0 68.461 * * [simplify]: Extracting #2: cost 49 inf + 2 68.461 * * [simplify]: Extracting #3: cost 80 inf + 6 68.462 * * [simplify]: Extracting #4: cost 58 inf + 1840 68.463 * * [simplify]: Extracting #5: cost 22 inf + 9206 68.466 * * [simplify]: Extracting #6: cost 1 inf + 20886 68.469 * * [simplify]: Extracting #7: cost 0 inf + 21301 68.472 * * [simplify]: Extracting #8: cost 0 inf + 21130 68.477 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 68.477 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 68.477 * * * * [progress]: [ 34 / 315 ] simplifiying candidate # 68.477 * * * * [progress]: [ 35 / 315 ] simplifiying candidate # 68.477 * * * * [progress]: [ 36 / 315 ] simplifiying candidate # 68.477 * * * * [progress]: [ 37 / 315 ] simplifiying candidate # 68.477 * * * * [progress]: [ 38 / 315 ] simplifiying candidate # 68.477 * * * * [progress]: [ 39 / 315 ] simplifiying candidate # 68.477 * * * * [progress]: [ 40 / 315 ] simplifiying candidate # 68.477 * * * * [progress]: [ 41 / 315 ] simplifiying candidate # 68.477 * * * * [progress]: [ 42 / 315 ] simplifiying candidate #real (real->posit16 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))> 68.477 * * * * [progress]: [ 43 / 315 ] simplifiying candidate # 68.477 * * * * [progress]: [ 44 / 315 ] simplifiying candidate # 68.477 * * * * [progress]: [ 45 / 315 ] simplifiying candidate # 68.478 * [simplify]: Simplifying (* n (* 2 PI)) 68.478 * * [simplify]: iters left: 4 (5 enodes) 68.479 * * [simplify]: iters left: 3 (19 enodes) 68.482 * * [simplify]: iters left: 2 (27 enodes) 68.486 * * [simplify]: iters left: 1 (32 enodes) 68.490 * * [simplify]: Extracting #0: cost 1 inf + 0 68.490 * * [simplify]: Extracting #1: cost 8 inf + 0 68.490 * * [simplify]: Extracting #2: cost 7 inf + 45 68.491 * * [simplify]: Extracting #3: cost 0 inf + 421 68.491 * [simplify]: Simplified to (* (* PI 2) n) 68.491 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2))))) 68.491 * * * * [progress]: [ 46 / 315 ] simplifiying candidate # 68.491 * [simplify]: Simplifying (* n (* 2 PI)) 68.491 * * [simplify]: iters left: 4 (5 enodes) 68.493 * * [simplify]: iters left: 3 (19 enodes) 68.495 * * [simplify]: iters left: 2 (27 enodes) 68.499 * * [simplify]: iters left: 1 (32 enodes) 68.503 * * [simplify]: Extracting #0: cost 1 inf + 0 68.504 * * [simplify]: Extracting #1: cost 8 inf + 0 68.504 * * [simplify]: Extracting #2: cost 7 inf + 45 68.504 * * [simplify]: Extracting #3: cost 0 inf + 421 68.504 * [simplify]: Simplified to (* (* PI 2) n) 68.504 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2))))) 68.504 * * * * [progress]: [ 47 / 315 ] simplifiying candidate # 68.504 * * * * [progress]: [ 48 / 315 ] simplifiying candidate # 68.504 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI))) 68.504 * * [simplify]: iters left: 5 (8 enodes) 68.506 * * [simplify]: iters left: 4 (28 enodes) 68.514 * * [simplify]: iters left: 3 (36 enodes) 68.524 * * [simplify]: iters left: 2 (42 enodes) 68.535 * * [simplify]: Extracting #0: cost 1 inf + 0 68.535 * * [simplify]: Extracting #1: cost 8 inf + 0 68.535 * * [simplify]: Extracting #2: cost 17 inf + 0 68.535 * * [simplify]: Extracting #3: cost 12 inf + 145 68.536 * * [simplify]: Extracting #4: cost 5 inf + 1197 68.536 * * [simplify]: Extracting #5: cost 1 inf + 1925 68.537 * * [simplify]: Extracting #6: cost 0 inf + 2107 68.538 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI))) 68.538 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (- 1 k) 2))))) 68.538 * * * * [progress]: [ 49 / 315 ] simplifiying candidate # 68.538 * [simplify]: Simplifying (+ (log n) (log (* 2 PI))) 68.538 * * [simplify]: iters left: 5 (7 enodes) 68.545 * * [simplify]: iters left: 4 (26 enodes) 68.552 * * [simplify]: iters left: 3 (35 enodes) 68.557 * * [simplify]: iters left: 2 (44 enodes) 68.563 * * [simplify]: Extracting #0: cost 1 inf + 0 68.563 * * [simplify]: Extracting #1: cost 8 inf + 0 68.563 * * [simplify]: Extracting #2: cost 18 inf + 0 68.563 * * [simplify]: Extracting #3: cost 15 inf + 74 68.564 * * [simplify]: Extracting #4: cost 8 inf + 554 68.564 * * [simplify]: Extracting #5: cost 0 inf + 1911 68.564 * [simplify]: Simplified to (+ (log n) (log (* 2 PI))) 68.564 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (exp (+ (log n) (log (* 2 PI)))) (/ (- 1 k) 2))))) 68.564 * * * * [progress]: [ 50 / 315 ] simplifiying candidate # 68.564 * * * * [progress]: [ 51 / 315 ] simplifiying candidate # 68.564 * * * * [progress]: [ 52 / 315 ] simplifiying candidate # 68.565 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI))) 68.565 * * [simplify]: iters left: 6 (11 enodes) 68.569 * * [simplify]: iters left: 5 (48 enodes) 68.578 * * [simplify]: iters left: 4 (121 enodes) 68.635 * * [simplify]: iters left: 3 (348 enodes) 68.866 * * [simplify]: Extracting #0: cost 1 inf + 0 68.866 * * [simplify]: Extracting #1: cost 67 inf + 0 68.867 * * [simplify]: Extracting #2: cost 165 inf + 786 68.869 * * [simplify]: Extracting #3: cost 85 inf + 10177 68.875 * * [simplify]: Extracting #4: cost 9 inf + 26399 68.881 * * [simplify]: Extracting #5: cost 0 inf + 28546 68.888 * * [simplify]: Extracting #6: cost 0 inf + 28506 68.897 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI)) 68.897 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (cbrt (* (* (* (* n PI) (* n PI)) 8) (* n PI))) (/ (- 1 k) 2))))) 68.897 * * * * [progress]: [ 53 / 315 ] simplifiying candidate # 68.898 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI))) 68.898 * * [simplify]: iters left: 6 (9 enodes) 68.907 * * [simplify]: iters left: 5 (45 enodes) 68.924 * * [simplify]: iters left: 4 (117 enodes) 68.988 * * [simplify]: iters left: 3 (374 enodes) 69.323 * * [simplify]: Extracting #0: cost 1 inf + 0 69.324 * * [simplify]: Extracting #1: cost 77 inf + 0 69.326 * * [simplify]: Extracting #2: cost 184 inf + 984 69.333 * * [simplify]: Extracting #3: cost 106 inf + 11690 69.350 * * [simplify]: Extracting #4: cost 6 inf + 30376 69.368 * * [simplify]: Extracting #5: cost 0 inf + 31644 69.382 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n)) 69.382 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (cbrt (* (* (* (* PI n) (* PI n)) 8) (* PI n))) (/ (- 1 k) 2))))) 69.382 * * * * [progress]: [ 54 / 315 ] simplifiying candidate # 69.382 * * * * [progress]: [ 55 / 315 ] simplifiying candidate # 69.382 * * * * [progress]: [ 56 / 315 ] simplifiying candidate # 69.382 * * * * [progress]: [ 57 / 315 ] simplifiying candidate # 69.382 * * * * [progress]: [ 58 / 315 ] simplifiying candidate # 69.382 * * * * [progress]: [ 59 / 315 ] simplifiying candidate # 69.383 * [simplify]: Simplifying (* (cbrt n) (cbrt n)) 69.383 * * [simplify]: iters left: 3 (3 enodes) 69.383 * * [simplify]: iters left: 2 (9 enodes) 69.384 * * [simplify]: Extracting #0: cost 1 inf + 0 69.384 * * [simplify]: Extracting #1: cost 3 inf + 0 69.385 * * [simplify]: Extracting #2: cost 5 inf + 0 69.385 * * [simplify]: Extracting #3: cost 4 inf + 1 69.385 * * [simplify]: Extracting #4: cost 0 inf + 405 69.385 * [simplify]: Simplified to (* (cbrt n) (cbrt n)) 69.385 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (- 1 k) 2))))) 69.385 * * * * [progress]: [ 60 / 315 ] simplifiying candidate # 69.385 * [simplify]: Simplifying (sqrt n) 69.385 * * [simplify]: iters left: 1 (2 enodes) 69.385 * * [simplify]: Extracting #0: cost 1 inf + 0 69.385 * * [simplify]: Extracting #1: cost 3 inf + 0 69.385 * * [simplify]: Extracting #2: cost 2 inf + 1 69.385 * * [simplify]: Extracting #3: cost 0 inf + 83 69.386 * [simplify]: Simplified to (sqrt n) 69.386 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (- 1 k) 2))))) 69.386 * * * * [progress]: [ 61 / 315 ] simplifiying candidate # 69.386 * * * * [progress]: [ 62 / 315 ] simplifiying candidate #real (real->posit16 (* n (* 2 PI)))) (/ (- 1 k) 2)))))> 69.386 * * * * [progress]: [ 63 / 315 ] simplifiying candidate # 69.386 * * * * [progress]: [ 64 / 315 ] simplifiying candidate # 69.386 * * * * [progress]: [ 65 / 315 ] simplifiying candidate # 69.386 * * * * [progress]: [ 66 / 315 ] simplifiying candidate # 69.386 * * * * [progress]: [ 67 / 315 ] simplifiying candidate # 69.386 * [simplify]: Simplifying (- (log (sqrt k)) (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2))) 69.386 * * [simplify]: iters left: 6 (16 enodes) 69.391 * * [simplify]: iters left: 5 (65 enodes) 69.401 * * [simplify]: iters left: 4 (119 enodes) 69.446 * * [simplify]: iters left: 3 (367 enodes) 69.643 * * [simplify]: Extracting #0: cost 1 inf + 0 69.643 * * [simplify]: Extracting #1: cost 33 inf + 0 69.644 * * [simplify]: Extracting #2: cost 134 inf + 0 69.646 * * [simplify]: Extracting #3: cost 216 inf + 75 69.650 * * [simplify]: Extracting #4: cost 207 inf + 9446 69.663 * * [simplify]: Extracting #5: cost 46 inf + 51853 69.677 * * [simplify]: Extracting #6: cost 0 inf + 67072 69.693 * [simplify]: Simplified to (- (log (sqrt k)) (* (+ (log n) (+ (log PI) (log 2))) (/ (- 1 k) 2))) 69.693 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (+ (log n) (+ (log PI) (log 2))) (/ (- 1 k) 2)))))) 69.693 * * * * [progress]: [ 68 / 315 ] simplifiying candidate # 69.693 * [simplify]: Simplifying (- (log (sqrt k)) (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2))) 69.693 * * [simplify]: iters left: 6 (15 enodes) 69.698 * * [simplify]: iters left: 5 (63 enodes) 69.708 * * [simplify]: iters left: 4 (112 enodes) 69.736 * * [simplify]: iters left: 3 (297 enodes) 69.836 * * [simplify]: Extracting #0: cost 1 inf + 0 69.836 * * [simplify]: Extracting #1: cost 29 inf + 0 69.836 * * [simplify]: Extracting #2: cost 115 inf + 0 69.837 * * [simplify]: Extracting #3: cost 195 inf + 4 69.841 * * [simplify]: Extracting #4: cost 198 inf + 5541 69.852 * * [simplify]: Extracting #5: cost 53 inf + 37427 69.873 * * [simplify]: Extracting #6: cost 0 inf + 52902 69.885 * [simplify]: Simplified to (- (log (sqrt k)) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))) 69.885 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))))) 69.885 * * * * [progress]: [ 69 / 315 ] simplifiying candidate # 69.885 * [simplify]: Simplifying (- (log (sqrt k)) (* (log (* n (* 2 PI))) (/ (- 1 k) 2))) 69.885 * * [simplify]: iters left: 6 (14 enodes) 69.889 * * [simplify]: iters left: 5 (62 enodes) 69.900 * * [simplify]: iters left: 4 (119 enodes) 69.931 * * [simplify]: iters left: 3 (277 enodes) 70.047 * * [simplify]: Extracting #0: cost 1 inf + 0 70.047 * * [simplify]: Extracting #1: cost 19 inf + 0 70.048 * * [simplify]: Extracting #2: cost 104 inf + 0 70.048 * * [simplify]: Extracting #3: cost 181 inf + 4 70.050 * * [simplify]: Extracting #4: cost 178 inf + 4950 70.055 * * [simplify]: Extracting #5: cost 58 inf + 26743 70.064 * * [simplify]: Extracting #6: cost 3 inf + 41201 70.073 * * [simplify]: Extracting #7: cost 0 inf + 42173 70.083 * [simplify]: Simplified to (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI))))) 70.083 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI)))))))) 70.083 * * * * [progress]: [ 70 / 315 ] simplifiying candidate # 70.083 * [simplify]: Simplifying (- (log (sqrt k)) (* (log (* n (* 2 PI))) (/ (- 1 k) 2))) 70.083 * * [simplify]: iters left: 6 (14 enodes) 70.087 * * [simplify]: iters left: 5 (62 enodes) 70.098 * * [simplify]: iters left: 4 (119 enodes) 70.139 * * [simplify]: iters left: 3 (277 enodes) 70.256 * * [simplify]: Extracting #0: cost 1 inf + 0 70.256 * * [simplify]: Extracting #1: cost 19 inf + 0 70.257 * * [simplify]: Extracting #2: cost 104 inf + 0 70.258 * * [simplify]: Extracting #3: cost 181 inf + 4 70.260 * * [simplify]: Extracting #4: cost 178 inf + 4950 70.271 * * [simplify]: Extracting #5: cost 58 inf + 26743 70.289 * * [simplify]: Extracting #6: cost 3 inf + 41201 70.308 * * [simplify]: Extracting #7: cost 0 inf + 42173 70.327 * [simplify]: Simplified to (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI))))) 70.327 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI)))))))) 70.328 * * * * [progress]: [ 71 / 315 ] simplifiying candidate # 70.328 * [simplify]: Simplifying (- (log (sqrt k)) (log (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 70.328 * * [simplify]: iters left: 6 (14 enodes) 70.336 * * [simplify]: iters left: 5 (61 enodes) 70.355 * * [simplify]: iters left: 4 (111 enodes) 70.398 * * [simplify]: iters left: 3 (251 enodes) 70.506 * * [simplify]: Extracting #0: cost 1 inf + 0 70.506 * * [simplify]: Extracting #1: cost 23 inf + 0 70.506 * * [simplify]: Extracting #2: cost 133 inf + 0 70.507 * * [simplify]: Extracting #3: cost 208 inf + 185 70.508 * * [simplify]: Extracting #4: cost 218 inf + 3301 70.513 * * [simplify]: Extracting #5: cost 69 inf + 33539 70.525 * * [simplify]: Extracting #6: cost 2 inf + 51949 70.545 * * [simplify]: Extracting #7: cost 0 inf + 53204 70.565 * * [simplify]: Extracting #8: cost 0 inf + 52964 70.584 * * [simplify]: Extracting #9: cost 0 inf + 52884 70.603 * [simplify]: Simplified to (- (log (sqrt k)) (/ (* (log (* n (* 2 PI))) (- 1 k)) 2)) 70.603 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (/ (* (log (* n (* 2 PI))) (- 1 k)) 2))))) 70.603 * * * * [progress]: [ 72 / 315 ] simplifiying candidate # 70.603 * * * * [progress]: [ 73 / 315 ] simplifiying candidate # 70.603 * * * * [progress]: [ 74 / 315 ] simplifiying candidate # 70.604 * [simplify]: Simplifying (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 70.604 * * [simplify]: iters left: 6 (16 enodes) 70.617 * * [simplify]: iters left: 5 (72 enodes) 70.643 * * [simplify]: iters left: 4 (163 enodes) 70.721 * * [simplify]: iters left: 3 (439 enodes) 70.945 * * [simplify]: Extracting #0: cost 1 inf + 0 70.946 * * [simplify]: Extracting #1: cost 116 inf + 0 70.947 * * [simplify]: Extracting #2: cost 336 inf + 123 70.950 * * [simplify]: Extracting #3: cost 402 inf + 248 70.954 * * [simplify]: Extracting #4: cost 369 inf + 9396 70.980 * * [simplify]: Extracting #5: cost 192 inf + 115836 71.020 * * [simplify]: Extracting #6: cost 10 inf + 248697 71.062 * * [simplify]: Extracting #7: cost 0 inf + 254113 71.104 * * [simplify]: Extracting #8: cost 0 inf + 254073 71.145 * [simplify]: Simplified to (* (sqrt k) (/ (/ (/ k (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 71.145 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (cbrt (* (sqrt k) (/ (/ (/ k (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))) 71.145 * * * * [progress]: [ 75 / 315 ] simplifiying candidate # 71.146 * * * * [progress]: [ 76 / 315 ] simplifiying candidate # 71.146 * * * * [progress]: [ 77 / 315 ] simplifiying candidate # 71.146 * * * * [progress]: [ 78 / 315 ] simplifiying candidate # 71.146 * * * * [progress]: [ 79 / 315 ] simplifiying candidate # 71.146 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2))) 71.146 * * [simplify]: iters left: 6 (11 enodes) 71.149 * * [simplify]: iters left: 5 (46 enodes) 71.157 * * [simplify]: iters left: 4 (76 enodes) 71.171 * * [simplify]: iters left: 3 (136 enodes) 71.220 * * [simplify]: iters left: 2 (291 enodes) 71.325 * * [simplify]: Extracting #0: cost 1 inf + 0 71.325 * * [simplify]: Extracting #1: cost 43 inf + 0 71.326 * * [simplify]: Extracting #2: cost 140 inf + 0 71.327 * * [simplify]: Extracting #3: cost 198 inf + 3 71.329 * * [simplify]: Extracting #4: cost 178 inf + 3230 71.334 * * [simplify]: Extracting #5: cost 128 inf + 15281 71.346 * * [simplify]: Extracting #6: cost 58 inf + 56806 71.370 * * [simplify]: Extracting #7: cost 1 inf + 101840 71.396 * * [simplify]: Extracting #8: cost 0 inf + 101613 71.412 * [simplify]: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2))) 71.412 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 71.413 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) 71.413 * * [simplify]: iters left: 6 (11 enodes) 71.416 * * [simplify]: iters left: 5 (45 enodes) 71.426 * * [simplify]: iters left: 4 (68 enodes) 71.442 * * [simplify]: iters left: 3 (108 enodes) 71.472 * * [simplify]: iters left: 2 (205 enodes) 71.527 * * [simplify]: iters left: 1 (386 enodes) 71.643 * * [simplify]: Extracting #0: cost 1 inf + 0 71.643 * * [simplify]: Extracting #1: cost 6 inf + 0 71.643 * * [simplify]: Extracting #2: cost 36 inf + 0 71.644 * * [simplify]: Extracting #3: cost 122 inf + 1 71.644 * * [simplify]: Extracting #4: cost 156 inf + 1084 71.647 * * [simplify]: Extracting #5: cost 92 inf + 19572 71.655 * * [simplify]: Extracting #6: cost 25 inf + 52933 71.674 * * [simplify]: Extracting #7: cost 0 inf + 71185 71.687 * * [simplify]: Extracting #8: cost 0 inf + 70923 71.700 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))) 71.700 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k))))))) 71.700 * * * * [progress]: [ 80 / 315 ] simplifiying candidate # 71.701 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 71.701 * * [simplify]: iters left: 6 (16 enodes) 71.705 * * [simplify]: iters left: 5 (69 enodes) 71.725 * * [simplify]: iters left: 4 (113 enodes) 71.761 * * [simplify]: iters left: 3 (161 enodes) 71.797 * * [simplify]: iters left: 2 (255 enodes) 71.853 * * [simplify]: iters left: 1 (424 enodes) 71.999 * * [simplify]: Extracting #0: cost 1 inf + 0 71.999 * * [simplify]: Extracting #1: cost 11 inf + 0 72.000 * * [simplify]: Extracting #2: cost 22 inf + 0 72.000 * * [simplify]: Extracting #3: cost 46 inf + 0 72.000 * * [simplify]: Extracting #4: cost 120 inf + 43 72.001 * * [simplify]: Extracting #5: cost 164 inf + 660 72.002 * * [simplify]: Extracting #6: cost 127 inf + 4224 72.005 * * [simplify]: Extracting #7: cost 64 inf + 21188 72.013 * * [simplify]: Extracting #8: cost 11 inf + 59283 72.026 * * [simplify]: Extracting #9: cost 0 inf + 69467 72.043 * [simplify]: Simplified to (* (/ (cbrt (sqrt k)) (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))))) 72.043 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (/ (cbrt (sqrt k)) (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 72.044 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 72.044 * * [simplify]: iters left: 6 (14 enodes) 72.047 * * [simplify]: iters left: 5 (57 enodes) 72.057 * * [simplify]: iters left: 4 (90 enodes) 72.086 * * [simplify]: iters left: 3 (126 enodes) 72.125 * * [simplify]: iters left: 2 (194 enodes) 72.169 * * [simplify]: iters left: 1 (356 enodes) 72.308 * * [simplify]: Extracting #0: cost 1 inf + 0 72.308 * * [simplify]: Extracting #1: cost 4 inf + 0 72.308 * * [simplify]: Extracting #2: cost 8 inf + 0 72.308 * * [simplify]: Extracting #3: cost 34 inf + 0 72.308 * * [simplify]: Extracting #4: cost 118 inf + 43 72.310 * * [simplify]: Extracting #5: cost 153 inf + 422 72.313 * * [simplify]: Extracting #6: cost 108 inf + 6596 72.317 * * [simplify]: Extracting #7: cost 62 inf + 18565 72.324 * * [simplify]: Extracting #8: cost 23 inf + 48640 72.333 * * [simplify]: Extracting #9: cost 0 inf + 68118 72.343 * * [simplify]: Extracting #10: cost 0 inf + 67780 72.358 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 72.358 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))))))) 72.358 * * * * [progress]: [ 81 / 315 ] simplifiying candidate # 72.359 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 72.359 * * [simplify]: iters left: 6 (15 enodes) 72.363 * * [simplify]: iters left: 5 (62 enodes) 72.376 * * [simplify]: iters left: 4 (96 enodes) 72.391 * * [simplify]: iters left: 3 (140 enodes) 72.421 * * [simplify]: iters left: 2 (228 enodes) 72.490 * * [simplify]: iters left: 1 (385 enodes) 72.611 * * [simplify]: Extracting #0: cost 1 inf + 0 72.611 * * [simplify]: Extracting #1: cost 7 inf + 0 72.611 * * [simplify]: Extracting #2: cost 15 inf + 0 72.611 * * [simplify]: Extracting #3: cost 44 inf + 0 72.612 * * [simplify]: Extracting #4: cost 116 inf + 84 72.613 * * [simplify]: Extracting #5: cost 160 inf + 585 72.617 * * [simplify]: Extracting #6: cost 105 inf + 9265 72.630 * * [simplify]: Extracting #7: cost 19 inf + 47762 72.642 * * [simplify]: Extracting #8: cost 0 inf + 60811 72.654 * * [simplify]: Extracting #9: cost 0 inf + 59236 72.664 * * [simplify]: Extracting #10: cost 0 inf + 59073 72.683 * [simplify]: Simplified to (* (/ (cbrt (sqrt k)) (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 72.683 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (/ (cbrt (sqrt k)) (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 72.684 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 72.684 * * [simplify]: iters left: 6 (14 enodes) 72.690 * * [simplify]: iters left: 5 (57 enodes) 72.700 * * [simplify]: iters left: 4 (91 enodes) 72.714 * * [simplify]: iters left: 3 (127 enodes) 72.736 * * [simplify]: iters left: 2 (195 enodes) 72.788 * * [simplify]: iters left: 1 (361 enodes) 72.935 * * [simplify]: Extracting #0: cost 1 inf + 0 72.935 * * [simplify]: Extracting #1: cost 4 inf + 0 72.935 * * [simplify]: Extracting #2: cost 9 inf + 0 72.935 * * [simplify]: Extracting #3: cost 37 inf + 0 72.936 * * [simplify]: Extracting #4: cost 126 inf + 43 72.937 * * [simplify]: Extracting #5: cost 159 inf + 465 72.941 * * [simplify]: Extracting #6: cost 108 inf + 7630 72.951 * * [simplify]: Extracting #7: cost 48 inf + 28780 72.970 * * [simplify]: Extracting #8: cost 5 inf + 65583 72.991 * * [simplify]: Extracting #9: cost 0 inf + 66579 73.003 * * [simplify]: Extracting #10: cost 0 inf + 65928 73.014 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 73.014 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))))))) 73.014 * * * * [progress]: [ 82 / 315 ] simplifiying candidate # 73.015 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 73.015 * * [simplify]: iters left: 6 (6 enodes) 73.016 * * [simplify]: iters left: 5 (20 enodes) 73.020 * * [simplify]: iters left: 4 (30 enodes) 73.024 * * [simplify]: iters left: 3 (31 enodes) 73.028 * * [simplify]: Extracting #0: cost 1 inf + 0 73.029 * * [simplify]: Extracting #1: cost 5 inf + 0 73.029 * * [simplify]: Extracting #2: cost 7 inf + 1 73.029 * * [simplify]: Extracting #3: cost 9 inf + 1 73.029 * * [simplify]: Extracting #4: cost 8 inf + 2 73.029 * * [simplify]: Extracting #5: cost 0 inf + 972 73.029 * [simplify]: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 73.029 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 73.030 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 73.030 * * [simplify]: iters left: 6 (13 enodes) 73.037 * * [simplify]: iters left: 5 (54 enodes) 73.057 * * [simplify]: iters left: 4 (85 enodes) 73.071 * * [simplify]: iters left: 3 (127 enodes) 73.101 * * [simplify]: iters left: 2 (219 enodes) 73.154 * * [simplify]: iters left: 1 (391 enodes) 73.318 * * [simplify]: Extracting #0: cost 1 inf + 0 73.318 * * [simplify]: Extracting #1: cost 6 inf + 0 73.319 * * [simplify]: Extracting #2: cost 38 inf + 0 73.319 * * [simplify]: Extracting #3: cost 124 inf + 1 73.320 * * [simplify]: Extracting #4: cost 161 inf + 627 73.323 * * [simplify]: Extracting #5: cost 125 inf + 3411 73.331 * * [simplify]: Extracting #6: cost 63 inf + 27050 73.344 * * [simplify]: Extracting #7: cost 12 inf + 63415 73.358 * * [simplify]: Extracting #8: cost 0 inf + 72844 73.369 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))) 73.369 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) 73.369 * * * * [progress]: [ 83 / 315 ] simplifiying candidate # 73.369 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 73.369 * * [simplify]: iters left: 6 (15 enodes) 73.376 * * [simplify]: iters left: 5 (65 enodes) 73.397 * * [simplify]: iters left: 4 (107 enodes) 73.416 * * [simplify]: iters left: 3 (179 enodes) 73.459 * * [simplify]: iters left: 2 (347 enodes) 73.562 * * [simplify]: Extracting #0: cost 1 inf + 0 73.563 * * [simplify]: Extracting #1: cost 45 inf + 0 73.563 * * [simplify]: Extracting #2: cost 139 inf + 0 73.564 * * [simplify]: Extracting #3: cost 207 inf + 2 73.565 * * [simplify]: Extracting #4: cost 181 inf + 6532 73.569 * * [simplify]: Extracting #5: cost 109 inf + 33173 73.584 * * [simplify]: Extracting #6: cost 9 inf + 107364 73.605 * * [simplify]: Extracting #7: cost 0 inf + 114103 73.622 * * [simplify]: Extracting #8: cost 0 inf + 113771 73.658 * [simplify]: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 4))) 73.658 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 4))) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 73.659 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 73.659 * * [simplify]: iters left: 6 (14 enodes) 73.667 * * [simplify]: iters left: 5 (60 enodes) 73.688 * * [simplify]: iters left: 4 (98 enodes) 73.719 * * [simplify]: iters left: 3 (154 enodes) 73.775 * * [simplify]: iters left: 2 (277 enodes) 73.883 * * [simplify]: Extracting #0: cost 1 inf + 0 73.883 * * [simplify]: Extracting #1: cost 6 inf + 0 73.883 * * [simplify]: Extracting #2: cost 27 inf + 0 73.884 * * [simplify]: Extracting #3: cost 96 inf + 1 73.885 * * [simplify]: Extracting #4: cost 118 inf + 383 73.887 * * [simplify]: Extracting #5: cost 69 inf + 7980 73.890 * * [simplify]: Extracting #6: cost 30 inf + 15387 73.895 * * [simplify]: Extracting #7: cost 1 inf + 34479 73.900 * * [simplify]: Extracting #8: cost 0 inf + 35436 73.905 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (/ (- 1 k) 4))) 73.905 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (/ (- 1 k) 4)))))) 73.905 * * * * [progress]: [ 84 / 315 ] simplifiying candidate # 73.906 * [simplify]: Simplifying (/ (sqrt (* (cbrt k) (cbrt k))) (pow n (/ (- 1 k) 2))) 73.906 * * [simplify]: iters left: 6 (11 enodes) 73.911 * * [simplify]: iters left: 5 (45 enodes) 73.919 * * [simplify]: iters left: 4 (72 enodes) 73.941 * * [simplify]: iters left: 3 (111 enodes) 73.962 * * [simplify]: iters left: 2 (190 enodes) 74.021 * * [simplify]: iters left: 1 (359 enodes) 74.201 * * [simplify]: Extracting #0: cost 1 inf + 0 74.201 * * [simplify]: Extracting #1: cost 6 inf + 0 74.201 * * [simplify]: Extracting #2: cost 39 inf + 0 74.201 * * [simplify]: Extracting #3: cost 121 inf + 2 74.202 * * [simplify]: Extracting #4: cost 147 inf + 660 74.203 * * [simplify]: Extracting #5: cost 104 inf + 6662 74.208 * * [simplify]: Extracting #6: cost 41 inf + 34617 74.218 * * [simplify]: Extracting #7: cost 0 inf + 65549 74.237 * * [simplify]: Extracting #8: cost 0 inf + 63832 74.261 * [simplify]: Simplified to (/ (fabs (cbrt k)) (pow n (/ (- 1 k) 2))) 74.261 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (fabs (cbrt k)) (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 74.261 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) 74.261 * * [simplify]: iters left: 6 (11 enodes) 74.268 * * [simplify]: iters left: 5 (45 enodes) 74.281 * * [simplify]: iters left: 4 (68 enodes) 74.292 * * [simplify]: iters left: 3 (108 enodes) 74.314 * * [simplify]: iters left: 2 (205 enodes) 74.385 * * [simplify]: iters left: 1 (386 enodes) 74.564 * * [simplify]: Extracting #0: cost 1 inf + 0 74.564 * * [simplify]: Extracting #1: cost 6 inf + 0 74.564 * * [simplify]: Extracting #2: cost 36 inf + 0 74.565 * * [simplify]: Extracting #3: cost 122 inf + 1 74.566 * * [simplify]: Extracting #4: cost 156 inf + 1164 74.572 * * [simplify]: Extracting #5: cost 92 inf + 19652 74.586 * * [simplify]: Extracting #6: cost 25 inf + 53013 74.604 * * [simplify]: Extracting #7: cost 0 inf + 71265 74.614 * * [simplify]: Extracting #8: cost 0 inf + 71003 74.625 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))) 74.625 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (fabs (cbrt k)) (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow (* 2 PI) (* 1/2 (- 1 k))))))) 74.625 * * * * [progress]: [ 85 / 315 ] simplifiying candidate # 74.625 * [simplify]: Simplifying (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 74.625 * * [simplify]: iters left: 6 (16 enodes) 74.630 * * [simplify]: iters left: 5 (66 enodes) 74.640 * * [simplify]: iters left: 4 (97 enodes) 74.655 * * [simplify]: iters left: 3 (138 enodes) 74.705 * * [simplify]: iters left: 2 (229 enodes) 74.768 * * [simplify]: iters left: 1 (395 enodes) 74.891 * * [simplify]: Extracting #0: cost 1 inf + 0 74.891 * * [simplify]: Extracting #1: cost 6 inf + 0 74.891 * * [simplify]: Extracting #2: cost 13 inf + 0 74.891 * * [simplify]: Extracting #3: cost 38 inf + 0 74.891 * * [simplify]: Extracting #4: cost 114 inf + 83 74.892 * * [simplify]: Extracting #5: cost 162 inf + 581 74.893 * * [simplify]: Extracting #6: cost 137 inf + 3110 74.896 * * [simplify]: Extracting #7: cost 81 inf + 13704 74.900 * * [simplify]: Extracting #8: cost 45 inf + 30756 74.909 * * [simplify]: Extracting #9: cost 8 inf + 59897 74.924 * * [simplify]: Extracting #10: cost 0 inf + 66411 74.944 * [simplify]: Simplified to (/ (fabs (cbrt k)) (* (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))))) 74.944 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (fabs (cbrt k)) (* (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))))) (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 74.944 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 74.945 * * [simplify]: iters left: 6 (14 enodes) 74.952 * * [simplify]: iters left: 5 (57 enodes) 74.971 * * [simplify]: iters left: 4 (90 enodes) 75.002 * * [simplify]: iters left: 3 (126 enodes) 75.043 * * [simplify]: iters left: 2 (194 enodes) 75.096 * * [simplify]: iters left: 1 (356 enodes) 75.213 * * [simplify]: Extracting #0: cost 1 inf + 0 75.213 * * [simplify]: Extracting #1: cost 4 inf + 0 75.213 * * [simplify]: Extracting #2: cost 8 inf + 0 75.214 * * [simplify]: Extracting #3: cost 34 inf + 0 75.214 * * [simplify]: Extracting #4: cost 118 inf + 83 75.215 * * [simplify]: Extracting #5: cost 153 inf + 502 75.218 * * [simplify]: Extracting #6: cost 108 inf + 6676 75.225 * * [simplify]: Extracting #7: cost 62 inf + 18645 75.237 * * [simplify]: Extracting #8: cost 23 inf + 48720 75.256 * * [simplify]: Extracting #9: cost 0 inf + 68198 75.276 * * [simplify]: Extracting #10: cost 0 inf + 67860 75.296 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 75.296 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (cbrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))))))) 75.297 * * * * [progress]: [ 86 / 315 ] simplifiying candidate # 75.297 * [simplify]: Simplifying (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 75.297 * * [simplify]: iters left: 6 (15 enodes) 75.309 * * [simplify]: iters left: 5 (61 enodes) 75.327 * * [simplify]: iters left: 4 (91 enodes) 75.354 * * [simplify]: iters left: 3 (129 enodes) 75.377 * * [simplify]: iters left: 2 (215 enodes) 75.450 * * [simplify]: iters left: 1 (375 enodes) 75.576 * * [simplify]: Extracting #0: cost 1 inf + 0 75.576 * * [simplify]: Extracting #1: cost 4 inf + 0 75.576 * * [simplify]: Extracting #2: cost 10 inf + 0 75.576 * * [simplify]: Extracting #3: cost 38 inf + 0 75.577 * * [simplify]: Extracting #4: cost 113 inf + 83 75.578 * * [simplify]: Extracting #5: cost 135 inf + 706 75.580 * * [simplify]: Extracting #6: cost 118 inf + 2523 75.584 * * [simplify]: Extracting #7: cost 68 inf + 13262 75.597 * * [simplify]: Extracting #8: cost 11 inf + 46809 75.608 * * [simplify]: Extracting #9: cost 0 inf + 55563 75.621 * * [simplify]: Extracting #10: cost 0 inf + 55482 75.631 * [simplify]: Simplified to (/ (fabs (cbrt k)) (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) 75.631 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (fabs (cbrt k)) (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 75.631 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 75.632 * * [simplify]: iters left: 6 (14 enodes) 75.635 * * [simplify]: iters left: 5 (57 enodes) 75.645 * * [simplify]: iters left: 4 (91 enodes) 75.661 * * [simplify]: iters left: 3 (127 enodes) 75.701 * * [simplify]: iters left: 2 (195 enodes) 75.775 * * [simplify]: iters left: 1 (361 enodes) 75.903 * * [simplify]: Extracting #0: cost 1 inf + 0 75.903 * * [simplify]: Extracting #1: cost 4 inf + 0 75.903 * * [simplify]: Extracting #2: cost 9 inf + 0 75.903 * * [simplify]: Extracting #3: cost 37 inf + 0 75.904 * * [simplify]: Extracting #4: cost 126 inf + 83 75.905 * * [simplify]: Extracting #5: cost 159 inf + 545 75.912 * * [simplify]: Extracting #6: cost 108 inf + 7710 75.922 * * [simplify]: Extracting #7: cost 48 inf + 28860 75.942 * * [simplify]: Extracting #8: cost 5 inf + 65663 75.964 * * [simplify]: Extracting #9: cost 0 inf + 66659 75.987 * * [simplify]: Extracting #10: cost 0 inf + 66008 76.000 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 76.000 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (sqrt (cbrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))))))) 76.000 * * * * [progress]: [ 87 / 315 ] simplifiying candidate # 76.001 * [simplify]: Simplifying (/ (sqrt (* (cbrt k) (cbrt k))) 1) 76.001 * * [simplify]: iters left: 6 (6 enodes) 76.003 * * [simplify]: iters left: 5 (19 enodes) 76.006 * * [simplify]: iters left: 4 (23 enodes) 76.009 * * [simplify]: Extracting #0: cost 1 inf + 0 76.009 * * [simplify]: Extracting #1: cost 5 inf + 0 76.009 * * [simplify]: Extracting #2: cost 7 inf + 1 76.009 * * [simplify]: Extracting #3: cost 6 inf + 2 76.009 * * [simplify]: Extracting #4: cost 0 inf + 648 76.009 * [simplify]: Simplified to (fabs (cbrt k)) 76.009 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (fabs (cbrt k)) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 76.010 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 76.010 * * [simplify]: iters left: 6 (13 enodes) 76.013 * * [simplify]: iters left: 5 (54 enodes) 76.028 * * [simplify]: iters left: 4 (85 enodes) 76.057 * * [simplify]: iters left: 3 (127 enodes) 76.101 * * [simplify]: iters left: 2 (219 enodes) 76.174 * * [simplify]: iters left: 1 (391 enodes) 76.320 * * [simplify]: Extracting #0: cost 1 inf + 0 76.320 * * [simplify]: Extracting #1: cost 6 inf + 0 76.320 * * [simplify]: Extracting #2: cost 38 inf + 0 76.321 * * [simplify]: Extracting #3: cost 124 inf + 1 76.322 * * [simplify]: Extracting #4: cost 161 inf + 707 76.323 * * [simplify]: Extracting #5: cost 125 inf + 3491 76.327 * * [simplify]: Extracting #6: cost 63 inf + 27130 76.337 * * [simplify]: Extracting #7: cost 12 inf + 63495 76.348 * * [simplify]: Extracting #8: cost 0 inf + 72924 76.359 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))) 76.359 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (fabs (cbrt k)) (/ (sqrt (cbrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) 76.359 * * * * [progress]: [ 88 / 315 ] simplifiying candidate # 76.360 * [simplify]: Simplifying (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 76.360 * * [simplify]: iters left: 6 (15 enodes) 76.367 * * [simplify]: iters left: 5 (64 enodes) 76.377 * * [simplify]: iters left: 4 (102 enodes) 76.395 * * [simplify]: iters left: 3 (158 enodes) 76.428 * * [simplify]: iters left: 2 (277 enodes) 76.513 * * [simplify]: Extracting #0: cost 1 inf + 0 76.513 * * [simplify]: Extracting #1: cost 6 inf + 0 76.513 * * [simplify]: Extracting #2: cost 27 inf + 0 76.514 * * [simplify]: Extracting #3: cost 97 inf + 1 76.514 * * [simplify]: Extracting #4: cost 120 inf + 544 76.515 * * [simplify]: Extracting #5: cost 74 inf + 5556 76.518 * * [simplify]: Extracting #6: cost 30 inf + 15714 76.523 * * [simplify]: Extracting #7: cost 0 inf + 36390 76.528 * * [simplify]: Extracting #8: cost 0 inf + 35931 76.533 * [simplify]: Simplified to (/ (fabs (cbrt k)) (pow (* (* 2 PI) n) (* 1/4 (- 1 k)))) 76.533 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (fabs (cbrt k)) (pow (* (* 2 PI) n) (* 1/4 (- 1 k)))) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 76.533 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 76.533 * * [simplify]: iters left: 6 (14 enodes) 76.537 * * [simplify]: iters left: 5 (60 enodes) 76.550 * * [simplify]: iters left: 4 (98 enodes) 76.571 * * [simplify]: iters left: 3 (154 enodes) 76.623 * * [simplify]: iters left: 2 (277 enodes) 76.718 * * [simplify]: Extracting #0: cost 1 inf + 0 76.718 * * [simplify]: Extracting #1: cost 6 inf + 0 76.718 * * [simplify]: Extracting #2: cost 27 inf + 0 76.719 * * [simplify]: Extracting #3: cost 96 inf + 1 76.719 * * [simplify]: Extracting #4: cost 118 inf + 423 76.720 * * [simplify]: Extracting #5: cost 69 inf + 8060 76.723 * * [simplify]: Extracting #6: cost 30 inf + 15467 76.728 * * [simplify]: Extracting #7: cost 1 inf + 34559 76.733 * * [simplify]: Extracting #8: cost 0 inf + 35516 76.738 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (pow (* (* n 2) PI) (/ (- 1 k) 4))) 76.738 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (/ (sqrt (cbrt k)) (pow (* (* n 2) PI) (/ (- 1 k) 4)))))) 76.738 * * * * [progress]: [ 89 / 315 ] simplifiying candidate # 76.739 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2))) 76.739 * * [simplify]: iters left: 6 (10 enodes) 76.742 * * [simplify]: iters left: 5 (41 enodes) 76.749 * * [simplify]: iters left: 4 (64 enodes) 76.759 * * [simplify]: iters left: 3 (104 enodes) 76.783 * * [simplify]: iters left: 2 (198 enodes) 76.822 * * [simplify]: iters left: 1 (379 enodes) 76.990 * * [simplify]: Extracting #0: cost 1 inf + 0 76.990 * * [simplify]: Extracting #1: cost 6 inf + 0 76.990 * * [simplify]: Extracting #2: cost 38 inf + 0 76.991 * * [simplify]: Extracting #3: cost 124 inf + 2 76.991 * * [simplify]: Extracting #4: cost 179 inf + 461 76.993 * * [simplify]: Extracting #5: cost 142 inf + 6556 76.998 * * [simplify]: Extracting #6: cost 47 inf + 39006 77.008 * * [simplify]: Extracting #7: cost 3 inf + 66455 77.027 * * [simplify]: Extracting #8: cost 0 inf + 66818 77.044 * * [simplify]: Extracting #9: cost 0 inf + 66657 77.053 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2))) 77.054 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 77.054 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) 77.054 * * [simplify]: iters left: 6 (11 enodes) 77.057 * * [simplify]: iters left: 5 (45 enodes) 77.067 * * [simplify]: iters left: 4 (68 enodes) 77.085 * * [simplify]: iters left: 3 (108 enodes) 77.126 * * [simplify]: iters left: 2 (205 enodes) 77.178 * * [simplify]: iters left: 1 (386 enodes) 77.332 * * [simplify]: Extracting #0: cost 1 inf + 0 77.332 * * [simplify]: Extracting #1: cost 6 inf + 0 77.332 * * [simplify]: Extracting #2: cost 36 inf + 0 77.333 * * [simplify]: Extracting #3: cost 122 inf + 1 77.333 * * [simplify]: Extracting #4: cost 156 inf + 1004 77.336 * * [simplify]: Extracting #5: cost 92 inf + 19132 77.343 * * [simplify]: Extracting #6: cost 25 inf + 52173 77.354 * * [simplify]: Extracting #7: cost 0 inf + 70265 77.369 * * [simplify]: Extracting #8: cost 0 inf + 70003 77.393 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))) 77.393 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k))))))) 77.393 * * * * [progress]: [ 90 / 315 ] simplifiying candidate # 77.393 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 77.394 * * [simplify]: iters left: 6 (15 enodes) 77.402 * * [simplify]: iters left: 5 (62 enodes) 77.415 * * [simplify]: iters left: 4 (93 enodes) 77.429 * * [simplify]: iters left: 3 (131 enodes) 77.466 * * [simplify]: iters left: 2 (217 enodes) 77.513 * * [simplify]: iters left: 1 (378 enodes) 77.666 * * [simplify]: Extracting #0: cost 1 inf + 0 77.666 * * [simplify]: Extracting #1: cost 6 inf + 0 77.666 * * [simplify]: Extracting #2: cost 12 inf + 0 77.666 * * [simplify]: Extracting #3: cost 39 inf + 0 77.667 * * [simplify]: Extracting #4: cost 105 inf + 84 77.668 * * [simplify]: Extracting #5: cost 160 inf + 340 77.670 * * [simplify]: Extracting #6: cost 136 inf + 2499 77.675 * * [simplify]: Extracting #7: cost 89 inf + 10439 77.691 * * [simplify]: Extracting #8: cost 27 inf + 39879 77.713 * * [simplify]: Extracting #9: cost 0 inf + 58654 77.727 * * [simplify]: Extracting #10: cost 0 inf + 57798 77.738 * * [simplify]: Extracting #11: cost 0 inf + 57132 77.750 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* n 2) PI) (* 1/2 (- 1 k)))) (cbrt (pow (* (* n 2) PI) (* 1/2 (- 1 k)))))) 77.750 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* n 2) PI) (* 1/2 (- 1 k)))) (cbrt (pow (* (* n 2) PI) (* 1/2 (- 1 k)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 77.750 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 77.750 * * [simplify]: iters left: 6 (14 enodes) 77.756 * * [simplify]: iters left: 5 (57 enodes) 77.775 * * [simplify]: iters left: 4 (90 enodes) 77.803 * * [simplify]: iters left: 3 (126 enodes) 77.839 * * [simplify]: iters left: 2 (194 enodes) 77.876 * * [simplify]: iters left: 1 (356 enodes) 77.975 * * [simplify]: Extracting #0: cost 1 inf + 0 77.975 * * [simplify]: Extracting #1: cost 4 inf + 0 77.975 * * [simplify]: Extracting #2: cost 8 inf + 0 77.975 * * [simplify]: Extracting #3: cost 34 inf + 0 77.975 * * [simplify]: Extracting #4: cost 118 inf + 43 77.976 * * [simplify]: Extracting #5: cost 153 inf + 382 77.977 * * [simplify]: Extracting #6: cost 108 inf + 6516 77.980 * * [simplify]: Extracting #7: cost 62 inf + 18405 77.987 * * [simplify]: Extracting #8: cost 23 inf + 48480 78.001 * * [simplify]: Extracting #9: cost 0 inf + 67958 78.021 * * [simplify]: Extracting #10: cost 0 inf + 67620 78.042 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 78.042 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))))))) 78.042 * * * * [progress]: [ 91 / 315 ] simplifiying candidate # 78.043 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 78.043 * * [simplify]: iters left: 6 (14 enodes) 78.050 * * [simplify]: iters left: 5 (57 enodes) 78.068 * * [simplify]: iters left: 4 (91 enodes) 78.099 * * [simplify]: iters left: 3 (127 enodes) 78.140 * * [simplify]: iters left: 2 (195 enodes) 78.199 * * [simplify]: iters left: 1 (361 enodes) 78.352 * * [simplify]: Extracting #0: cost 1 inf + 0 78.352 * * [simplify]: Extracting #1: cost 4 inf + 0 78.352 * * [simplify]: Extracting #2: cost 9 inf + 0 78.352 * * [simplify]: Extracting #3: cost 37 inf + 0 78.353 * * [simplify]: Extracting #4: cost 126 inf + 43 78.353 * * [simplify]: Extracting #5: cost 159 inf + 425 78.355 * * [simplify]: Extracting #6: cost 108 inf + 7550 78.360 * * [simplify]: Extracting #7: cost 48 inf + 28620 78.370 * * [simplify]: Extracting #8: cost 5 inf + 65423 78.390 * * [simplify]: Extracting #9: cost 0 inf + 66419 78.417 * * [simplify]: Extracting #10: cost 0 inf + 65768 78.429 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 78.430 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 78.430 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 78.430 * * [simplify]: iters left: 6 (14 enodes) 78.434 * * [simplify]: iters left: 5 (57 enodes) 78.444 * * [simplify]: iters left: 4 (91 enodes) 78.459 * * [simplify]: iters left: 3 (127 enodes) 78.500 * * [simplify]: iters left: 2 (195 enodes) 78.573 * * [simplify]: iters left: 1 (361 enodes) 79.172 * * [simplify]: Extracting #0: cost 1 inf + 0 79.173 * * [simplify]: Extracting #1: cost 4 inf + 0 79.173 * * [simplify]: Extracting #2: cost 9 inf + 0 79.173 * * [simplify]: Extracting #3: cost 37 inf + 0 79.174 * * [simplify]: Extracting #4: cost 126 inf + 43 79.175 * * [simplify]: Extracting #5: cost 159 inf + 425 79.178 * * [simplify]: Extracting #6: cost 108 inf + 7550 79.188 * * [simplify]: Extracting #7: cost 48 inf + 28620 79.198 * * [simplify]: Extracting #8: cost 5 inf + 65423 79.208 * * [simplify]: Extracting #9: cost 0 inf + 66419 79.228 * * [simplify]: Extracting #10: cost 0 inf + 65768 79.249 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 79.249 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))))))) 79.249 * * * * [progress]: [ 92 / 315 ] simplifiying candidate # 79.250 * [simplify]: Simplifying (/ (sqrt (sqrt k)) 1) 79.250 * * [simplify]: iters left: 4 (5 enodes) 79.252 * * [simplify]: iters left: 3 (15 enodes) 79.254 * * [simplify]: iters left: 2 (17 enodes) 79.257 * * [simplify]: Extracting #0: cost 1 inf + 0 79.257 * * [simplify]: Extracting #1: cost 4 inf + 0 79.257 * * [simplify]: Extracting #2: cost 5 inf + 1 79.257 * * [simplify]: Extracting #3: cost 4 inf + 2 79.257 * * [simplify]: Extracting #4: cost 1 inf + 165 79.257 * * [simplify]: Extracting #5: cost 0 inf + 246 79.257 * [simplify]: Simplified to (sqrt (sqrt k)) 79.257 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 79.257 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 79.258 * * [simplify]: iters left: 6 (13 enodes) 79.261 * * [simplify]: iters left: 5 (54 enodes) 79.270 * * [simplify]: iters left: 4 (85 enodes) 79.290 * * [simplify]: iters left: 3 (127 enodes) 79.322 * * [simplify]: iters left: 2 (219 enodes) 79.378 * * [simplify]: iters left: 1 (391 enodes) 79.489 * * [simplify]: Extracting #0: cost 1 inf + 0 79.489 * * [simplify]: Extracting #1: cost 6 inf + 0 79.489 * * [simplify]: Extracting #2: cost 38 inf + 0 79.490 * * [simplify]: Extracting #3: cost 124 inf + 1 79.491 * * [simplify]: Extracting #4: cost 161 inf + 547 79.493 * * [simplify]: Extracting #5: cost 125 inf + 3331 79.502 * * [simplify]: Extracting #6: cost 63 inf + 26730 79.520 * * [simplify]: Extracting #7: cost 12 inf + 62575 79.542 * * [simplify]: Extracting #8: cost 0 inf + 71924 79.563 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))) 79.563 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) 79.563 * * * * [progress]: [ 93 / 315 ] simplifiying candidate # 79.563 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 79.563 * * [simplify]: iters left: 6 (14 enodes) 79.567 * * [simplify]: iters left: 5 (60 enodes) 79.578 * * [simplify]: iters left: 4 (98 enodes) 79.601 * * [simplify]: iters left: 3 (154 enodes) 79.629 * * [simplify]: iters left: 2 (277 enodes) 79.710 * * [simplify]: Extracting #0: cost 1 inf + 0 79.710 * * [simplify]: Extracting #1: cost 6 inf + 0 79.710 * * [simplify]: Extracting #2: cost 27 inf + 0 79.710 * * [simplify]: Extracting #3: cost 96 inf + 1 79.711 * * [simplify]: Extracting #4: cost 118 inf + 343 79.713 * * [simplify]: Extracting #5: cost 69 inf + 7820 79.718 * * [simplify]: Extracting #6: cost 30 inf + 15107 79.727 * * [simplify]: Extracting #7: cost 1 inf + 33879 79.737 * * [simplify]: Extracting #8: cost 0 inf + 34836 79.747 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (/ (- 1 k) 4))) 79.747 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (/ (- 1 k) 4))) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 79.748 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 79.748 * * [simplify]: iters left: 6 (14 enodes) 79.756 * * [simplify]: iters left: 5 (60 enodes) 79.779 * * [simplify]: iters left: 4 (98 enodes) 79.811 * * [simplify]: iters left: 3 (154 enodes) 79.865 * * [simplify]: iters left: 2 (277 enodes) 79.945 * * [simplify]: Extracting #0: cost 1 inf + 0 79.946 * * [simplify]: Extracting #1: cost 6 inf + 0 79.946 * * [simplify]: Extracting #2: cost 27 inf + 0 79.946 * * [simplify]: Extracting #3: cost 96 inf + 1 79.946 * * [simplify]: Extracting #4: cost 118 inf + 343 79.948 * * [simplify]: Extracting #5: cost 69 inf + 7820 79.950 * * [simplify]: Extracting #6: cost 30 inf + 15107 79.955 * * [simplify]: Extracting #7: cost 1 inf + 33879 79.960 * * [simplify]: Extracting #8: cost 0 inf + 34836 79.966 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (/ (- 1 k) 4))) 79.966 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (/ (- 1 k) 4)))))) 79.966 * * * * [progress]: [ 94 / 315 ] simplifiying candidate # 79.966 * [simplify]: Simplifying (/ (sqrt 1) (pow n (/ (- 1 k) 2))) 79.966 * * [simplify]: iters left: 6 (9 enodes) 79.970 * * [simplify]: iters left: 5 (38 enodes) 79.976 * * [simplify]: iters left: 4 (61 enodes) 79.987 * * [simplify]: iters left: 3 (101 enodes) 80.009 * * [simplify]: iters left: 2 (195 enodes) 80.058 * * [simplify]: iters left: 1 (364 enodes) 80.207 * * [simplify]: Extracting #0: cost 1 inf + 0 80.207 * * [simplify]: Extracting #1: cost 6 inf + 0 80.208 * * [simplify]: Extracting #2: cost 35 inf + 1 80.208 * * [simplify]: Extracting #3: cost 114 inf + 3 80.208 * * [simplify]: Extracting #4: cost 172 inf + 10 80.209 * * [simplify]: Extracting #5: cost 170 inf + 101 80.210 * * [simplify]: Extracting #6: cost 133 inf + 3458 80.214 * * [simplify]: Extracting #7: cost 64 inf + 22490 80.222 * * [simplify]: Extracting #8: cost 10 inf + 52638 80.238 * * [simplify]: Extracting #9: cost 0 inf + 61831 80.249 * * [simplify]: Extracting #10: cost 0 inf + 60211 80.259 * [simplify]: Simplified to (/ 1 (pow n (- 1/2 (/ k 2)))) 80.259 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 80.259 * [simplify]: Simplifying (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))) 80.259 * * [simplify]: iters left: 6 (10 enodes) 80.262 * * [simplify]: iters left: 5 (42 enodes) 80.269 * * [simplify]: iters left: 4 (65 enodes) 80.291 * * [simplify]: iters left: 3 (102 enodes) 80.321 * * [simplify]: iters left: 2 (194 enodes) 80.373 * * [simplify]: iters left: 1 (369 enodes) 80.494 * * [simplify]: Extracting #0: cost 1 inf + 0 80.494 * * [simplify]: Extracting #1: cost 6 inf + 0 80.494 * * [simplify]: Extracting #2: cost 41 inf + 0 80.495 * * [simplify]: Extracting #3: cost 120 inf + 84 80.496 * * [simplify]: Extracting #4: cost 150 inf + 632 80.500 * * [simplify]: Extracting #5: cost 101 inf + 9941 80.512 * * [simplify]: Extracting #6: cost 31 inf + 43542 80.531 * * [simplify]: Extracting #7: cost 1 inf + 71261 80.547 * * [simplify]: Extracting #8: cost 0 inf + 68919 80.558 * * [simplify]: Extracting #9: cost 0 inf + 66507 80.569 * * [simplify]: Extracting #10: cost 0 inf + 65470 80.589 * [simplify]: Simplified to (/ (sqrt k) (pow (* 2 PI) (* 1/2 (- 1 k)))) 80.589 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt 1) (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (* 1/2 (- 1 k))))))) 80.589 * * * * [progress]: [ 95 / 315 ] simplifiying candidate # 80.589 * [simplify]: Simplifying (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 80.590 * * [simplify]: iters left: 6 (14 enodes) 80.601 * * [simplify]: iters left: 5 (59 enodes) 80.612 * * [simplify]: iters left: 4 (97 enodes) 80.627 * * [simplify]: iters left: 3 (136 enodes) 80.665 * * [simplify]: iters left: 2 (204 enodes) 80.720 * * [simplify]: iters left: 1 (365 enodes) 80.864 * * [simplify]: Extracting #0: cost 1 inf + 0 80.864 * * [simplify]: Extracting #1: cost 7 inf + 0 80.864 * * [simplify]: Extracting #2: cost 11 inf + 1 80.864 * * [simplify]: Extracting #3: cost 33 inf + 1 80.864 * * [simplify]: Extracting #4: cost 106 inf + 2 80.865 * * [simplify]: Extracting #5: cost 154 inf + 218 80.865 * * [simplify]: Extracting #6: cost 153 inf + 478 80.867 * * [simplify]: Extracting #7: cost 97 inf + 5937 80.871 * * [simplify]: Extracting #8: cost 51 inf + 20416 80.879 * * [simplify]: Extracting #9: cost 7 inf + 56930 80.897 * * [simplify]: Extracting #10: cost 0 inf + 61782 80.917 * * [simplify]: Extracting #11: cost 0 inf + 61639 80.937 * [simplify]: Simplified to (/ (/ 1 (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 80.937 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (/ 1 (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 80.937 * [simplify]: Simplifying (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 80.937 * * [simplify]: iters left: 6 (13 enodes) 80.945 * * [simplify]: iters left: 5 (54 enodes) 80.963 * * [simplify]: iters left: 4 (87 enodes) 80.991 * * [simplify]: iters left: 3 (127 enodes) 81.031 * * [simplify]: iters left: 2 (196 enodes) 81.081 * * [simplify]: iters left: 1 (351 enodes) 81.202 * * [simplify]: Extracting #0: cost 1 inf + 0 81.202 * * [simplify]: Extracting #1: cost 4 inf + 0 81.202 * * [simplify]: Extracting #2: cost 8 inf + 0 81.202 * * [simplify]: Extracting #3: cost 32 inf + 1 81.202 * * [simplify]: Extracting #4: cost 115 inf + 43 81.203 * * [simplify]: Extracting #5: cost 148 inf + 301 81.207 * * [simplify]: Extracting #6: cost 97 inf + 9254 81.215 * * [simplify]: Extracting #7: cost 25 inf + 48526 81.225 * * [simplify]: Extracting #8: cost 0 inf + 66742 81.235 * * [simplify]: Extracting #9: cost 0 inf + 66320 81.255 * [simplify]: Simplified to (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 81.255 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (/ 1 (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 81.255 * * * * [progress]: [ 96 / 315 ] simplifiying candidate # 81.256 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 81.256 * * [simplify]: iters left: 6 (13 enodes) 81.264 * * [simplify]: iters left: 5 (54 enodes) 81.281 * * [simplify]: iters left: 4 (88 enodes) 81.300 * * [simplify]: iters left: 3 (124 enodes) 81.322 * * [simplify]: iters left: 2 (192 enodes) 81.375 * * [simplify]: iters left: 1 (353 enodes) 81.535 * * [simplify]: Extracting #0: cost 1 inf + 0 81.536 * * [simplify]: Extracting #1: cost 4 inf + 0 81.536 * * [simplify]: Extracting #2: cost 6 inf + 1 81.536 * * [simplify]: Extracting #3: cost 31 inf + 1 81.536 * * [simplify]: Extracting #4: cost 117 inf + 2 81.537 * * [simplify]: Extracting #5: cost 149 inf + 177 81.537 * * [simplify]: Extracting #6: cost 141 inf + 724 81.539 * * [simplify]: Extracting #7: cost 89 inf + 9228 81.545 * * [simplify]: Extracting #8: cost 23 inf + 44405 81.564 * * [simplify]: Extracting #9: cost 0 inf + 63586 81.585 * * [simplify]: Extracting #10: cost 0 inf + 63254 81.606 * [simplify]: Simplified to (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 81.606 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 81.606 * [simplify]: Simplifying (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 81.606 * * [simplify]: iters left: 6 (13 enodes) 81.610 * * [simplify]: iters left: 5 (54 enodes) 81.619 * * [simplify]: iters left: 4 (88 enodes) 81.633 * * [simplify]: iters left: 3 (124 enodes) 81.668 * * [simplify]: iters left: 2 (192 enodes) 81.739 * * [simplify]: iters left: 1 (353 enodes) 81.879 * * [simplify]: Extracting #0: cost 1 inf + 0 81.879 * * [simplify]: Extracting #1: cost 4 inf + 0 81.879 * * [simplify]: Extracting #2: cost 9 inf + 0 81.879 * * [simplify]: Extracting #3: cost 33 inf + 1 81.879 * * [simplify]: Extracting #4: cost 119 inf + 43 81.880 * * [simplify]: Extracting #5: cost 143 inf + 633 81.884 * * [simplify]: Extracting #6: cost 96 inf + 8965 81.897 * * [simplify]: Extracting #7: cost 19 inf + 49656 81.918 * * [simplify]: Extracting #8: cost 0 inf + 65011 81.941 * * [simplify]: Extracting #9: cost 0 inf + 64202 81.962 * * [simplify]: Extracting #10: cost 0 inf + 61652 81.985 * * [simplify]: Extracting #11: cost 0 inf + 61028 82.007 * [simplify]: Simplified to (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 82.007 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 82.007 * * * * [progress]: [ 97 / 315 ] simplifiying candidate # 82.007 * [simplify]: Simplifying (/ (sqrt 1) 1) 82.008 * * [simplify]: iters left: 3 (3 enodes) 82.015 * * [simplify]: iters left: 2 (9 enodes) 82.017 * * [simplify]: iters left: 1 (11 enodes) 82.020 * * [simplify]: Extracting #0: cost 1 inf + 0 82.020 * * [simplify]: Extracting #1: cost 0 inf + 1 82.020 * [simplify]: Simplified to 1 82.020 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 82.021 * [simplify]: Simplifying (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 82.021 * * [simplify]: iters left: 6 (12 enodes) 82.028 * * [simplify]: iters left: 5 (51 enodes) 82.046 * * [simplify]: iters left: 4 (86 enodes) 82.073 * * [simplify]: iters left: 3 (131 enodes) 82.116 * * [simplify]: iters left: 2 (210 enodes) 82.193 * * [simplify]: iters left: 1 (376 enodes) 82.356 * * [simplify]: Extracting #0: cost 1 inf + 0 82.356 * * [simplify]: Extracting #1: cost 6 inf + 0 82.356 * * [simplify]: Extracting #2: cost 39 inf + 0 82.357 * * [simplify]: Extracting #3: cost 126 inf + 43 82.357 * * [simplify]: Extracting #4: cost 157 inf + 427 82.359 * * [simplify]: Extracting #5: cost 123 inf + 3535 82.361 * * [simplify]: Extracting #6: cost 80 inf + 12590 82.367 * * [simplify]: Extracting #7: cost 35 inf + 41559 82.378 * * [simplify]: Extracting #8: cost 0 inf + 71226 82.393 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 82.393 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 82.394 * * * * [progress]: [ 98 / 315 ] simplifiying candidate # 82.394 * [simplify]: Simplifying (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 82.394 * * [simplify]: iters left: 6 (13 enodes) 82.402 * * [simplify]: iters left: 5 (57 enodes) 82.422 * * [simplify]: iters left: 4 (95 enodes) 82.452 * * [simplify]: iters left: 3 (148 enodes) 82.496 * * [simplify]: iters left: 2 (248 enodes) 82.559 * * [simplify]: iters left: 1 (441 enodes) 82.710 * * [simplify]: Extracting #0: cost 1 inf + 0 82.710 * * [simplify]: Extracting #1: cost 6 inf + 0 82.710 * * [simplify]: Extracting #2: cost 36 inf + 1 82.711 * * [simplify]: Extracting #3: cost 135 inf + 2 82.712 * * [simplify]: Extracting #4: cost 181 inf + 179 82.715 * * [simplify]: Extracting #5: cost 163 inf + 2507 82.718 * * [simplify]: Extracting #6: cost 81 inf + 15584 82.725 * * [simplify]: Extracting #7: cost 27 inf + 48700 82.736 * * [simplify]: Extracting #8: cost 0 inf + 70803 82.746 * [simplify]: Simplified to (/ 1 (pow (* n (* 2 PI)) (/ (- 1 k) 4))) 82.746 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow (* n (* 2 PI)) (/ (- 1 k) 4))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 82.746 * [simplify]: Simplifying (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 82.746 * * [simplify]: iters left: 6 (13 enodes) 82.753 * * [simplify]: iters left: 5 (57 enodes) 82.777 * * [simplify]: iters left: 4 (95 enodes) 82.804 * * [simplify]: iters left: 3 (148 enodes) 82.829 * * [simplify]: iters left: 2 (248 enodes) 82.900 * * [simplify]: iters left: 1 (441 enodes) 83.095 * * [simplify]: Extracting #0: cost 1 inf + 0 83.095 * * [simplify]: Extracting #1: cost 6 inf + 0 83.095 * * [simplify]: Extracting #2: cost 39 inf + 0 83.096 * * [simplify]: Extracting #3: cost 136 inf + 84 83.097 * * [simplify]: Extracting #4: cost 174 inf + 678 83.099 * * [simplify]: Extracting #5: cost 122 inf + 10036 83.108 * * [simplify]: Extracting #6: cost 42 inf + 40247 83.130 * * [simplify]: Extracting #7: cost 1 inf + 72437 83.153 * * [simplify]: Extracting #8: cost 0 inf + 71690 83.175 * * [simplify]: Extracting #9: cost 0 inf + 71650 83.194 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 4))) 83.194 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 4)))))) 83.195 * * * * [progress]: [ 99 / 315 ] simplifiying candidate # 83.195 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2))) 83.195 * * [simplify]: iters left: 6 (10 enodes) 83.198 * * [simplify]: iters left: 5 (41 enodes) 83.206 * * [simplify]: iters left: 4 (64 enodes) 83.219 * * [simplify]: iters left: 3 (104 enodes) 83.238 * * [simplify]: iters left: 2 (198 enodes) 83.286 * * [simplify]: iters left: 1 (379 enodes) 83.426 * * [simplify]: Extracting #0: cost 1 inf + 0 83.426 * * [simplify]: Extracting #1: cost 6 inf + 0 83.426 * * [simplify]: Extracting #2: cost 38 inf + 0 83.427 * * [simplify]: Extracting #3: cost 124 inf + 2 83.428 * * [simplify]: Extracting #4: cost 179 inf + 461 83.432 * * [simplify]: Extracting #5: cost 142 inf + 6556 83.442 * * [simplify]: Extracting #6: cost 47 inf + 39006 83.462 * * [simplify]: Extracting #7: cost 3 inf + 66455 83.480 * * [simplify]: Extracting #8: cost 0 inf + 66818 83.498 * * [simplify]: Extracting #9: cost 0 inf + 66657 83.516 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2))) 83.516 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 83.517 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) 83.517 * * [simplify]: iters left: 6 (11 enodes) 83.526 * * [simplify]: iters left: 5 (45 enodes) 83.541 * * [simplify]: iters left: 4 (68 enodes) 83.563 * * [simplify]: iters left: 3 (108 enodes) 83.603 * * [simplify]: iters left: 2 (205 enodes) 83.680 * * [simplify]: iters left: 1 (386 enodes) 83.827 * * [simplify]: Extracting #0: cost 1 inf + 0 83.827 * * [simplify]: Extracting #1: cost 6 inf + 0 83.827 * * [simplify]: Extracting #2: cost 36 inf + 0 83.828 * * [simplify]: Extracting #3: cost 122 inf + 1 83.828 * * [simplify]: Extracting #4: cost 156 inf + 1004 83.831 * * [simplify]: Extracting #5: cost 92 inf + 19132 83.839 * * [simplify]: Extracting #6: cost 25 inf + 52173 83.855 * * [simplify]: Extracting #7: cost 0 inf + 70265 83.879 * * [simplify]: Extracting #8: cost 0 inf + 70003 83.897 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))) 83.897 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k))))))) 83.898 * * * * [progress]: [ 100 / 315 ] simplifiying candidate # 83.898 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 83.898 * * [simplify]: iters left: 6 (15 enodes) 83.902 * * [simplify]: iters left: 5 (62 enodes) 83.912 * * [simplify]: iters left: 4 (93 enodes) 83.929 * * [simplify]: iters left: 3 (131 enodes) 83.953 * * [simplify]: iters left: 2 (217 enodes) 84.004 * * [simplify]: iters left: 1 (378 enodes) 84.147 * * [simplify]: Extracting #0: cost 1 inf + 0 84.147 * * [simplify]: Extracting #1: cost 6 inf + 0 84.147 * * [simplify]: Extracting #2: cost 12 inf + 0 84.147 * * [simplify]: Extracting #3: cost 39 inf + 0 84.148 * * [simplify]: Extracting #4: cost 105 inf + 84 84.148 * * [simplify]: Extracting #5: cost 160 inf + 340 84.149 * * [simplify]: Extracting #6: cost 136 inf + 2499 84.151 * * [simplify]: Extracting #7: cost 89 inf + 10439 84.162 * * [simplify]: Extracting #8: cost 27 inf + 39879 84.172 * * [simplify]: Extracting #9: cost 0 inf + 58654 84.188 * * [simplify]: Extracting #10: cost 0 inf + 57798 84.209 * * [simplify]: Extracting #11: cost 0 inf + 57132 84.232 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* n 2) PI) (* 1/2 (- 1 k)))) (cbrt (pow (* (* n 2) PI) (* 1/2 (- 1 k)))))) 84.232 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* n 2) PI) (* 1/2 (- 1 k)))) (cbrt (pow (* (* n 2) PI) (* 1/2 (- 1 k)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 84.233 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 84.233 * * [simplify]: iters left: 6 (14 enodes) 84.240 * * [simplify]: iters left: 5 (57 enodes) 84.249 * * [simplify]: iters left: 4 (90 enodes) 84.263 * * [simplify]: iters left: 3 (126 enodes) 84.302 * * [simplify]: iters left: 2 (194 enodes) 84.374 * * [simplify]: iters left: 1 (356 enodes) 84.537 * * [simplify]: Extracting #0: cost 1 inf + 0 84.537 * * [simplify]: Extracting #1: cost 4 inf + 0 84.537 * * [simplify]: Extracting #2: cost 8 inf + 0 84.537 * * [simplify]: Extracting #3: cost 34 inf + 0 84.538 * * [simplify]: Extracting #4: cost 118 inf + 43 84.539 * * [simplify]: Extracting #5: cost 153 inf + 382 84.542 * * [simplify]: Extracting #6: cost 108 inf + 6516 84.548 * * [simplify]: Extracting #7: cost 62 inf + 18405 84.561 * * [simplify]: Extracting #8: cost 23 inf + 48480 84.580 * * [simplify]: Extracting #9: cost 0 inf + 67958 84.599 * * [simplify]: Extracting #10: cost 0 inf + 67620 84.619 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 84.619 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))))))) 84.619 * * * * [progress]: [ 101 / 315 ] simplifiying candidate # 84.620 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 84.620 * * [simplify]: iters left: 6 (14 enodes) 84.624 * * [simplify]: iters left: 5 (57 enodes) 84.633 * * [simplify]: iters left: 4 (91 enodes) 84.650 * * [simplify]: iters left: 3 (127 enodes) 84.690 * * [simplify]: iters left: 2 (195 enodes) 84.734 * * [simplify]: iters left: 1 (361 enodes) 84.883 * * [simplify]: Extracting #0: cost 1 inf + 0 84.883 * * [simplify]: Extracting #1: cost 4 inf + 0 84.883 * * [simplify]: Extracting #2: cost 9 inf + 0 84.883 * * [simplify]: Extracting #3: cost 37 inf + 0 84.884 * * [simplify]: Extracting #4: cost 126 inf + 43 84.885 * * [simplify]: Extracting #5: cost 159 inf + 425 84.888 * * [simplify]: Extracting #6: cost 108 inf + 7550 84.898 * * [simplify]: Extracting #7: cost 48 inf + 28620 84.918 * * [simplify]: Extracting #8: cost 5 inf + 65423 84.932 * * [simplify]: Extracting #9: cost 0 inf + 66419 84.945 * * [simplify]: Extracting #10: cost 0 inf + 65768 84.961 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 84.961 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 84.962 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 84.962 * * [simplify]: iters left: 6 (14 enodes) 84.969 * * [simplify]: iters left: 5 (57 enodes) 84.988 * * [simplify]: iters left: 4 (91 enodes) 85.014 * * [simplify]: iters left: 3 (127 enodes) 85.036 * * [simplify]: iters left: 2 (195 enodes) 85.085 * * [simplify]: iters left: 1 (361 enodes) 85.232 * * [simplify]: Extracting #0: cost 1 inf + 0 85.232 * * [simplify]: Extracting #1: cost 4 inf + 0 85.232 * * [simplify]: Extracting #2: cost 9 inf + 0 85.232 * * [simplify]: Extracting #3: cost 37 inf + 0 85.233 * * [simplify]: Extracting #4: cost 126 inf + 43 85.233 * * [simplify]: Extracting #5: cost 159 inf + 425 85.235 * * [simplify]: Extracting #6: cost 108 inf + 7550 85.245 * * [simplify]: Extracting #7: cost 48 inf + 28620 85.258 * * [simplify]: Extracting #8: cost 5 inf + 65423 85.269 * * [simplify]: Extracting #9: cost 0 inf + 66419 85.280 * * [simplify]: Extracting #10: cost 0 inf + 65768 85.302 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 85.303 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))))))) 85.303 * * * * [progress]: [ 102 / 315 ] simplifiying candidate # 85.303 * [simplify]: Simplifying (/ (sqrt (sqrt k)) 1) 85.303 * * [simplify]: iters left: 4 (5 enodes) 85.306 * * [simplify]: iters left: 3 (15 enodes) 85.310 * * [simplify]: iters left: 2 (17 enodes) 85.315 * * [simplify]: Extracting #0: cost 1 inf + 0 85.315 * * [simplify]: Extracting #1: cost 4 inf + 0 85.315 * * [simplify]: Extracting #2: cost 5 inf + 1 85.316 * * [simplify]: Extracting #3: cost 4 inf + 2 85.316 * * [simplify]: Extracting #4: cost 1 inf + 165 85.316 * * [simplify]: Extracting #5: cost 0 inf + 246 85.316 * [simplify]: Simplified to (sqrt (sqrt k)) 85.316 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 85.316 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 85.316 * * [simplify]: iters left: 6 (13 enodes) 85.324 * * [simplify]: iters left: 5 (54 enodes) 85.339 * * [simplify]: iters left: 4 (85 enodes) 85.354 * * [simplify]: iters left: 3 (127 enodes) 85.388 * * [simplify]: iters left: 2 (219 enodes) 85.430 * * [simplify]: iters left: 1 (391 enodes) 85.549 * * [simplify]: Extracting #0: cost 1 inf + 0 85.549 * * [simplify]: Extracting #1: cost 6 inf + 0 85.549 * * [simplify]: Extracting #2: cost 38 inf + 0 85.550 * * [simplify]: Extracting #3: cost 124 inf + 1 85.552 * * [simplify]: Extracting #4: cost 161 inf + 547 85.554 * * [simplify]: Extracting #5: cost 125 inf + 3331 85.562 * * [simplify]: Extracting #6: cost 63 inf + 26730 85.581 * * [simplify]: Extracting #7: cost 12 inf + 62575 85.603 * * [simplify]: Extracting #8: cost 0 inf + 71924 85.617 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))) 85.617 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) 85.617 * * * * [progress]: [ 103 / 315 ] simplifiying candidate # 85.617 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 85.617 * * [simplify]: iters left: 6 (14 enodes) 85.621 * * [simplify]: iters left: 5 (60 enodes) 85.640 * * [simplify]: iters left: 4 (98 enodes) 85.656 * * [simplify]: iters left: 3 (154 enodes) 85.696 * * [simplify]: iters left: 2 (277 enodes) 85.765 * * [simplify]: Extracting #0: cost 1 inf + 0 85.765 * * [simplify]: Extracting #1: cost 6 inf + 0 85.765 * * [simplify]: Extracting #2: cost 27 inf + 0 85.766 * * [simplify]: Extracting #3: cost 96 inf + 1 85.766 * * [simplify]: Extracting #4: cost 118 inf + 343 85.767 * * [simplify]: Extracting #5: cost 69 inf + 7820 85.770 * * [simplify]: Extracting #6: cost 30 inf + 15107 85.775 * * [simplify]: Extracting #7: cost 1 inf + 33879 85.780 * * [simplify]: Extracting #8: cost 0 inf + 34836 85.785 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (/ (- 1 k) 4))) 85.786 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (/ (- 1 k) 4))) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 85.786 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 85.786 * * [simplify]: iters left: 6 (14 enodes) 85.792 * * [simplify]: iters left: 5 (60 enodes) 85.816 * * [simplify]: iters left: 4 (98 enodes) 85.844 * * [simplify]: iters left: 3 (154 enodes) 85.876 * * [simplify]: iters left: 2 (277 enodes) 85.957 * * [simplify]: Extracting #0: cost 1 inf + 0 85.958 * * [simplify]: Extracting #1: cost 6 inf + 0 85.958 * * [simplify]: Extracting #2: cost 27 inf + 0 85.958 * * [simplify]: Extracting #3: cost 96 inf + 1 85.959 * * [simplify]: Extracting #4: cost 118 inf + 343 85.962 * * [simplify]: Extracting #5: cost 69 inf + 7820 85.967 * * [simplify]: Extracting #6: cost 30 inf + 15107 85.976 * * [simplify]: Extracting #7: cost 1 inf + 33879 85.983 * * [simplify]: Extracting #8: cost 0 inf + 34836 85.989 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (/ (- 1 k) 4))) 85.989 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (/ (- 1 k) 4)))))) 85.989 * * * * [progress]: [ 104 / 315 ] simplifiying candidate # 85.989 * [simplify]: Simplifying (/ 1 (pow n (/ (- 1 k) 2))) 85.989 * * [simplify]: iters left: 6 (8 enodes) 85.992 * * [simplify]: iters left: 5 (35 enodes) 85.998 * * [simplify]: iters left: 4 (58 enodes) 86.008 * * [simplify]: iters left: 3 (95 enodes) 86.043 * * [simplify]: iters left: 2 (187 enodes) 86.079 * * [simplify]: iters left: 1 (360 enodes) 86.199 * * [simplify]: Extracting #0: cost 1 inf + 0 86.199 * * [simplify]: Extracting #1: cost 6 inf + 0 86.200 * * [simplify]: Extracting #2: cost 30 inf + 1 86.200 * * [simplify]: Extracting #3: cost 108 inf + 3 86.201 * * [simplify]: Extracting #4: cost 154 inf + 9 86.202 * * [simplify]: Extracting #5: cost 151 inf + 766 86.206 * * [simplify]: Extracting #6: cost 93 inf + 8506 86.216 * * [simplify]: Extracting #7: cost 31 inf + 35507 86.233 * * [simplify]: Extracting #8: cost 1 inf + 56067 86.250 * * [simplify]: Extracting #9: cost 0 inf + 56692 86.267 * [simplify]: Simplified to (/ 1 (pow n (* 1/2 (- 1 k)))) 86.267 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow n (* 1/2 (- 1 k)))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 86.268 * [simplify]: Simplifying (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))) 86.268 * * [simplify]: iters left: 6 (10 enodes) 86.274 * * [simplify]: iters left: 5 (42 enodes) 86.282 * * [simplify]: iters left: 4 (65 enodes) 86.295 * * [simplify]: iters left: 3 (102 enodes) 86.334 * * [simplify]: iters left: 2 (194 enodes) 86.407 * * [simplify]: iters left: 1 (369 enodes) 86.528 * * [simplify]: Extracting #0: cost 1 inf + 0 86.528 * * [simplify]: Extracting #1: cost 6 inf + 0 86.528 * * [simplify]: Extracting #2: cost 41 inf + 0 86.529 * * [simplify]: Extracting #3: cost 120 inf + 84 86.530 * * [simplify]: Extracting #4: cost 150 inf + 632 86.534 * * [simplify]: Extracting #5: cost 101 inf + 9941 86.545 * * [simplify]: Extracting #6: cost 31 inf + 43542 86.565 * * [simplify]: Extracting #7: cost 1 inf + 71261 86.585 * * [simplify]: Extracting #8: cost 0 inf + 68919 86.600 * * [simplify]: Extracting #9: cost 0 inf + 66507 86.612 * * [simplify]: Extracting #10: cost 0 inf + 65470 86.626 * [simplify]: Simplified to (/ (sqrt k) (pow (* 2 PI) (* 1/2 (- 1 k)))) 86.627 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (* 1/2 (- 1 k))))))) 86.627 * * * * [progress]: [ 105 / 315 ] simplifiying candidate # 86.627 * [simplify]: Simplifying (/ 1 (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 86.627 * * [simplify]: iters left: 6 (13 enodes) 86.635 * * [simplify]: iters left: 5 (56 enodes) 86.654 * * [simplify]: iters left: 4 (91 enodes) 86.683 * * [simplify]: iters left: 3 (127 enodes) 86.724 * * [simplify]: iters left: 2 (195 enodes) 86.800 * * [simplify]: iters left: 1 (360 enodes) 86.959 * * [simplify]: Extracting #0: cost 1 inf + 0 86.959 * * [simplify]: Extracting #1: cost 6 inf + 0 86.959 * * [simplify]: Extracting #2: cost 9 inf + 1 86.960 * * [simplify]: Extracting #3: cost 34 inf + 1 86.960 * * [simplify]: Extracting #4: cost 117 inf + 2 86.962 * * [simplify]: Extracting #5: cost 158 inf + 218 86.963 * * [simplify]: Extracting #6: cost 156 inf + 519 86.967 * * [simplify]: Extracting #7: cost 96 inf + 9283 86.981 * * [simplify]: Extracting #8: cost 21 inf + 53882 86.995 * * [simplify]: Extracting #9: cost 0 inf + 69982 87.006 * [simplify]: Simplified to (/ 1 (* (cbrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))))) 87.006 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (* (cbrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))))) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 87.007 * [simplify]: Simplifying (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 87.007 * * [simplify]: iters left: 6 (13 enodes) 87.011 * * [simplify]: iters left: 5 (54 enodes) 87.024 * * [simplify]: iters left: 4 (87 enodes) 87.052 * * [simplify]: iters left: 3 (127 enodes) 87.092 * * [simplify]: iters left: 2 (196 enodes) 87.165 * * [simplify]: iters left: 1 (351 enodes) 87.300 * * [simplify]: Extracting #0: cost 1 inf + 0 87.300 * * [simplify]: Extracting #1: cost 4 inf + 0 87.300 * * [simplify]: Extracting #2: cost 8 inf + 0 87.301 * * [simplify]: Extracting #3: cost 32 inf + 1 87.301 * * [simplify]: Extracting #4: cost 115 inf + 43 87.301 * * [simplify]: Extracting #5: cost 148 inf + 301 87.303 * * [simplify]: Extracting #6: cost 97 inf + 9254 87.310 * * [simplify]: Extracting #7: cost 25 inf + 48526 87.334 * * [simplify]: Extracting #8: cost 0 inf + 66742 87.354 * * [simplify]: Extracting #9: cost 0 inf + 66320 87.374 * [simplify]: Simplified to (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 87.374 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 87.374 * * * * [progress]: [ 106 / 315 ] simplifiying candidate # 87.374 * [simplify]: Simplifying (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 87.374 * * [simplify]: iters left: 6 (12 enodes) 87.381 * * [simplify]: iters left: 5 (51 enodes) 87.399 * * [simplify]: iters left: 4 (85 enodes) 87.426 * * [simplify]: iters left: 3 (126 enodes) 87.454 * * [simplify]: iters left: 2 (199 enodes) 87.501 * * [simplify]: iters left: 1 (355 enodes) 87.627 * * [simplify]: Extracting #0: cost 1 inf + 0 87.627 * * [simplify]: Extracting #1: cost 4 inf + 0 87.627 * * [simplify]: Extracting #2: cost 6 inf + 1 87.627 * * [simplify]: Extracting #3: cost 31 inf + 1 87.627 * * [simplify]: Extracting #4: cost 106 inf + 2 87.628 * * [simplify]: Extracting #5: cost 132 inf + 177 87.629 * * [simplify]: Extracting #6: cost 123 inf + 1142 87.633 * * [simplify]: Extracting #7: cost 78 inf + 7017 87.636 * * [simplify]: Extracting #8: cost 36 inf + 24527 87.647 * * [simplify]: Extracting #9: cost 3 inf + 51060 87.663 * * [simplify]: Extracting #10: cost 0 inf + 52653 87.674 * [simplify]: Simplified to (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 87.674 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 87.674 * [simplify]: Simplifying (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 87.674 * * [simplify]: iters left: 6 (13 enodes) 87.678 * * [simplify]: iters left: 5 (54 enodes) 87.688 * * [simplify]: iters left: 4 (88 enodes) 87.709 * * [simplify]: iters left: 3 (124 enodes) 87.736 * * [simplify]: iters left: 2 (192 enodes) 87.785 * * [simplify]: iters left: 1 (353 enodes) 87.905 * * [simplify]: Extracting #0: cost 1 inf + 0 87.905 * * [simplify]: Extracting #1: cost 4 inf + 0 87.905 * * [simplify]: Extracting #2: cost 9 inf + 0 87.905 * * [simplify]: Extracting #3: cost 33 inf + 1 87.905 * * [simplify]: Extracting #4: cost 119 inf + 43 87.906 * * [simplify]: Extracting #5: cost 143 inf + 633 87.908 * * [simplify]: Extracting #6: cost 96 inf + 8965 87.921 * * [simplify]: Extracting #7: cost 19 inf + 49656 87.943 * * [simplify]: Extracting #8: cost 0 inf + 65011 87.958 * * [simplify]: Extracting #9: cost 0 inf + 64202 87.969 * * [simplify]: Extracting #10: cost 0 inf + 61652 87.980 * * [simplify]: Extracting #11: cost 0 inf + 61028 87.994 * [simplify]: Simplified to (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 87.994 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 87.995 * * * * [progress]: [ 107 / 315 ] simplifiying candidate # 87.995 * [simplify]: Simplifying (/ 1 1) 87.995 * * [simplify]: iters left: 2 (2 enodes) 87.996 * * [simplify]: iters left: 1 (6 enodes) 87.997 * * [simplify]: Extracting #0: cost 1 inf + 0 87.997 * * [simplify]: Extracting #1: cost 0 inf + 1 87.997 * [simplify]: Simplified to 1 87.997 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 87.997 * [simplify]: Simplifying (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 87.998 * * [simplify]: iters left: 6 (12 enodes) 88.001 * * [simplify]: iters left: 5 (51 enodes) 88.012 * * [simplify]: iters left: 4 (86 enodes) 88.026 * * [simplify]: iters left: 3 (131 enodes) 88.054 * * [simplify]: iters left: 2 (210 enodes) 88.131 * * [simplify]: iters left: 1 (376 enodes) 88.330 * * [simplify]: Extracting #0: cost 1 inf + 0 88.330 * * [simplify]: Extracting #1: cost 6 inf + 0 88.330 * * [simplify]: Extracting #2: cost 39 inf + 0 88.331 * * [simplify]: Extracting #3: cost 126 inf + 43 88.332 * * [simplify]: Extracting #4: cost 157 inf + 427 88.335 * * [simplify]: Extracting #5: cost 123 inf + 3535 88.341 * * [simplify]: Extracting #6: cost 80 inf + 12590 88.352 * * [simplify]: Extracting #7: cost 35 inf + 41559 88.371 * * [simplify]: Extracting #8: cost 0 inf + 71226 88.384 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 88.384 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 88.384 * * * * [progress]: [ 108 / 315 ] simplifiying candidate # 88.384 * [simplify]: Simplifying (/ 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 88.384 * * [simplify]: iters left: 6 (12 enodes) 88.388 * * [simplify]: iters left: 5 (54 enodes) 88.398 * * [simplify]: iters left: 4 (92 enodes) 88.428 * * [simplify]: iters left: 3 (151 enodes) 88.459 * * [simplify]: iters left: 2 (276 enodes) 88.536 * * [simplify]: Extracting #0: cost 1 inf + 0 88.536 * * [simplify]: Extracting #1: cost 6 inf + 0 88.536 * * [simplify]: Extracting #2: cost 24 inf + 1 88.537 * * [simplify]: Extracting #3: cost 96 inf + 2 88.537 * * [simplify]: Extracting #4: cost 123 inf + 220 88.538 * * [simplify]: Extracting #5: cost 119 inf + 724 88.540 * * [simplify]: Extracting #6: cost 67 inf + 6949 88.544 * * [simplify]: Extracting #7: cost 9 inf + 31486 88.549 * * [simplify]: Extracting #8: cost 0 inf + 36804 88.555 * * [simplify]: Extracting #9: cost 0 inf + 36673 88.560 * [simplify]: Simplified to (/ 1 (pow (* (* 2 n) PI) (* 1/4 (- 1 k)))) 88.560 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow (* (* 2 n) PI) (* 1/4 (- 1 k)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 88.561 * [simplify]: Simplifying (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 88.561 * * [simplify]: iters left: 6 (13 enodes) 88.565 * * [simplify]: iters left: 5 (57 enodes) 88.585 * * [simplify]: iters left: 4 (95 enodes) 88.611 * * [simplify]: iters left: 3 (148 enodes) 88.636 * * [simplify]: iters left: 2 (248 enodes) 88.694 * * [simplify]: iters left: 1 (441 enodes) 88.847 * * [simplify]: Extracting #0: cost 1 inf + 0 88.847 * * [simplify]: Extracting #1: cost 6 inf + 0 88.848 * * [simplify]: Extracting #2: cost 39 inf + 0 88.848 * * [simplify]: Extracting #3: cost 136 inf + 84 88.849 * * [simplify]: Extracting #4: cost 174 inf + 678 88.851 * * [simplify]: Extracting #5: cost 122 inf + 10036 88.858 * * [simplify]: Extracting #6: cost 42 inf + 40247 88.873 * * [simplify]: Extracting #7: cost 1 inf + 72437 88.884 * * [simplify]: Extracting #8: cost 0 inf + 71690 88.895 * * [simplify]: Extracting #9: cost 0 inf + 71650 88.914 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 4))) 88.914 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 4)))))) 88.914 * * * * [progress]: [ 109 / 315 ] simplifiying candidate # 88.914 * * * * [progress]: [ 110 / 315 ] simplifiying candidate # 88.914 * * * * [progress]: [ 111 / 315 ] simplifiying candidate # 88.914 * * * * [progress]: [ 112 / 315 ] simplifiying candidate # 88.915 * [simplify]: Simplifying (pow (* 2 PI) (/ (- 1 k) 2)) 88.915 * * [simplify]: iters left: 5 (8 enodes) 88.920 * * [simplify]: iters left: 4 (36 enodes) 88.932 * * [simplify]: iters left: 3 (57 enodes) 88.954 * * [simplify]: iters left: 2 (90 enodes) 88.977 * * [simplify]: iters left: 1 (176 enodes) 89.027 * * [simplify]: Extracting #0: cost 1 inf + 0 89.027 * * [simplify]: Extracting #1: cost 13 inf + 0 89.027 * * [simplify]: Extracting #2: cost 55 inf + 1 89.028 * * [simplify]: Extracting #3: cost 86 inf + 6 89.029 * * [simplify]: Extracting #4: cost 73 inf + 1511 89.032 * * [simplify]: Extracting #5: cost 26 inf + 9176 89.037 * * [simplify]: Extracting #6: cost 2 inf + 22574 89.044 * * [simplify]: Extracting #7: cost 0 inf + 23644 89.051 * [simplify]: Simplified to (pow (* 2 PI) (/ (- 1 k) 2)) 89.051 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow n (/ (- 1 k) 2))) (pow (* 2 PI) (/ (- 1 k) 2))))) 89.051 * * * * [progress]: [ 113 / 315 ] simplifiying candidate # 89.051 * [simplify]: Simplifying (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 89.052 * * [simplify]: iters left: 6 (11 enodes) 89.061 * * [simplify]: iters left: 5 (48 enodes) 89.077 * * [simplify]: iters left: 4 (77 enodes) 89.103 * * [simplify]: iters left: 3 (118 enodes) 89.144 * * [simplify]: iters left: 2 (206 enodes) 89.202 * * [simplify]: iters left: 1 (371 enodes) 89.352 * * [simplify]: Extracting #0: cost 1 inf + 0 89.352 * * [simplify]: Extracting #1: cost 3 inf + 0 89.352 * * [simplify]: Extracting #2: cost 27 inf + 0 89.353 * * [simplify]: Extracting #3: cost 104 inf + 1 89.354 * * [simplify]: Extracting #4: cost 163 inf + 176 89.356 * * [simplify]: Extracting #5: cost 155 inf + 644 89.360 * * [simplify]: Extracting #6: cost 108 inf + 12272 89.376 * * [simplify]: Extracting #7: cost 33 inf + 38791 89.401 * * [simplify]: Extracting #8: cost 2 inf + 57668 89.422 * * [simplify]: Extracting #9: cost 0 inf + 58395 89.443 * * [simplify]: Extracting #10: cost 0 inf + 58313 89.463 * [simplify]: Simplified to (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) 89.464 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))))) 89.464 * * * * [progress]: [ 114 / 315 ] simplifiying candidate # 89.464 * [simplify]: Simplifying (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 89.464 * * [simplify]: iters left: 6 (11 enodes) 89.470 * * [simplify]: iters left: 5 (48 enodes) 89.485 * * [simplify]: iters left: 4 (78 enodes) 89.498 * * [simplify]: iters left: 3 (120 enodes) 89.522 * * [simplify]: iters left: 2 (211 enodes) 89.582 * * [simplify]: iters left: 1 (380 enodes) 89.702 * * [simplify]: Extracting #0: cost 1 inf + 0 89.702 * * [simplify]: Extracting #1: cost 4 inf + 0 89.702 * * [simplify]: Extracting #2: cost 29 inf + 0 89.702 * * [simplify]: Extracting #3: cost 113 inf + 1 89.703 * * [simplify]: Extracting #4: cost 155 inf + 220 89.704 * * [simplify]: Extracting #5: cost 153 inf + 561 89.705 * * [simplify]: Extracting #6: cost 121 inf + 2833 89.708 * * [simplify]: Extracting #7: cost 68 inf + 14038 89.715 * * [simplify]: Extracting #8: cost 15 inf + 50044 89.728 * * [simplify]: Extracting #9: cost 0 inf + 59395 89.749 * * [simplify]: Extracting #10: cost 0 inf + 59194 89.770 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 89.770 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))) 89.770 * * * * [progress]: [ 115 / 315 ] simplifiying candidate # 89.770 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 89.771 * * [simplify]: iters left: 5 (10 enodes) 89.774 * * [simplify]: iters left: 4 (45 enodes) 89.782 * * [simplify]: iters left: 3 (78 enodes) 89.794 * * [simplify]: iters left: 2 (118 enodes) 89.816 * * [simplify]: iters left: 1 (191 enodes) 89.870 * * [simplify]: Extracting #0: cost 1 inf + 0 89.871 * * [simplify]: Extracting #1: cost 13 inf + 0 89.871 * * [simplify]: Extracting #2: cost 60 inf + 1 89.871 * * [simplify]: Extracting #3: cost 92 inf + 7 89.871 * * [simplify]: Extracting #4: cost 83 inf + 930 89.873 * * [simplify]: Extracting #5: cost 41 inf + 6729 89.875 * * [simplify]: Extracting #6: cost 13 inf + 16801 89.878 * * [simplify]: Extracting #7: cost 0 inf + 25197 89.882 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 2)) 89.882 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) 1) (pow (* (* PI 2) n) (/ (- 1 k) 2))))) 89.882 * * * * [progress]: [ 116 / 315 ] simplifiying candidate # 89.882 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 89.883 * * [simplify]: iters left: 6 (11 enodes) 89.886 * * [simplify]: iters left: 5 (51 enodes) 89.902 * * [simplify]: iters left: 4 (87 enodes) 89.931 * * [simplify]: iters left: 3 (143 enodes) 89.978 * * [simplify]: iters left: 2 (259 enodes) 90.044 * * [simplify]: iters left: 1 (469 enodes) 90.241 * * [simplify]: Extracting #0: cost 1 inf + 0 90.241 * * [simplify]: Extracting #1: cost 24 inf + 0 90.242 * * [simplify]: Extracting #2: cost 110 inf + 1 90.242 * * [simplify]: Extracting #3: cost 192 inf + 178 90.243 * * [simplify]: Extracting #4: cost 178 inf + 1845 90.247 * * [simplify]: Extracting #5: cost 89 inf + 12477 90.252 * * [simplify]: Extracting #6: cost 41 inf + 28219 90.265 * * [simplify]: Extracting #7: cost 4 inf + 58625 90.283 * * [simplify]: Extracting #8: cost 0 inf + 62670 90.294 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/4 (- 1 k))) 90.294 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (pow (* (* PI 2) n) (* 1/4 (- 1 k)))))) 90.294 * * * * [progress]: [ 117 / 315 ] simplifiying candidate # 90.294 * [simplify]: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 90.295 * * [simplify]: iters left: 4 (4 enodes) 90.295 * * [simplify]: iters left: 3 (12 enodes) 90.297 * * [simplify]: Extracting #0: cost 1 inf + 0 90.297 * * [simplify]: Extracting #1: cost 3 inf + 0 90.297 * * [simplify]: Extracting #2: cost 5 inf + 0 90.297 * * [simplify]: Extracting #3: cost 7 inf + 0 90.297 * * [simplify]: Extracting #4: cost 6 inf + 1 90.297 * * [simplify]: Extracting #5: cost 0 inf + 647 90.297 * [simplify]: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 90.297 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt k)))))) 90.297 * * * * [progress]: [ 118 / 315 ] simplifiying candidate # 90.297 * [simplify]: Simplifying (sqrt (* (cbrt k) (cbrt k))) 90.298 * * [simplify]: iters left: 4 (4 enodes) 90.298 * * [simplify]: iters left: 3 (13 enodes) 90.300 * * [simplify]: Extracting #0: cost 1 inf + 0 90.300 * * [simplify]: Extracting #1: cost 4 inf + 0 90.300 * * [simplify]: Extracting #2: cost 7 inf + 0 90.300 * * [simplify]: Extracting #3: cost 6 inf + 1 90.300 * * [simplify]: Extracting #4: cost 0 inf + 647 90.300 * [simplify]: Simplified to (fabs (cbrt k)) 90.300 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (fabs (cbrt k)) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt k)))))) 90.300 * * * * [progress]: [ 119 / 315 ] simplifiying candidate # 90.301 * [simplify]: Simplifying (sqrt (sqrt k)) 90.301 * * [simplify]: iters left: 2 (3 enodes) 90.301 * * [simplify]: iters left: 1 (9 enodes) 90.302 * * [simplify]: Extracting #0: cost 1 inf + 0 90.302 * * [simplify]: Extracting #1: cost 3 inf + 0 90.302 * * [simplify]: Extracting #2: cost 5 inf + 0 90.302 * * [simplify]: Extracting #3: cost 4 inf + 1 90.302 * * [simplify]: Extracting #4: cost 0 inf + 245 90.302 * [simplify]: Simplified to (sqrt (sqrt k)) 90.303 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))))) 90.303 * * * * [progress]: [ 120 / 315 ] simplifiying candidate # 90.303 * [simplify]: Simplifying (sqrt 1) 90.303 * * [simplify]: iters left: 1 (2 enodes) 90.305 * * [simplify]: Extracting #0: cost 1 inf + 0 90.305 * * [simplify]: Extracting #1: cost 0 inf + 1 90.305 * [simplify]: Simplified to 1 90.305 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (/ 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))))) 90.305 * * * * [progress]: [ 121 / 315 ] simplifiying candidate # 90.305 * [simplify]: Simplifying (sqrt (sqrt k)) 90.305 * * [simplify]: iters left: 2 (3 enodes) 90.306 * * [simplify]: iters left: 1 (9 enodes) 90.307 * * [simplify]: Extracting #0: cost 1 inf + 0 90.307 * * [simplify]: Extracting #1: cost 3 inf + 0 90.307 * * [simplify]: Extracting #2: cost 5 inf + 0 90.307 * * [simplify]: Extracting #3: cost 4 inf + 1 90.307 * * [simplify]: Extracting #4: cost 0 inf + 245 90.307 * [simplify]: Simplified to (sqrt (sqrt k)) 90.307 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))))) 90.307 * * * * [progress]: [ 122 / 315 ] simplifiying candidate # 90.307 * * * * [progress]: [ 123 / 315 ] simplifiying candidate # 90.307 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ k 2)) 90.307 * * [simplify]: iters left: 5 (8 enodes) 90.309 * * [simplify]: iters left: 4 (31 enodes) 90.315 * * [simplify]: iters left: 3 (51 enodes) 90.323 * * [simplify]: iters left: 2 (85 enodes) 90.337 * * [simplify]: iters left: 1 (152 enodes) 90.388 * * [simplify]: Extracting #0: cost 1 inf + 0 90.388 * * [simplify]: Extracting #1: cost 13 inf + 0 90.389 * * [simplify]: Extracting #2: cost 59 inf + 1 90.389 * * [simplify]: Extracting #3: cost 76 inf + 9 90.391 * * [simplify]: Extracting #4: cost 41 inf + 3303 90.394 * * [simplify]: Extracting #5: cost 16 inf + 10676 90.399 * * [simplify]: Extracting #6: cost 0 inf + 21028 90.404 * * [simplify]: Extracting #7: cost 0 inf + 20456 90.410 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 90.410 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt k) (pow (* n (* 2 PI)) (/ 1 2))) (pow (* (* n 2) PI) (/ k 2))))) 90.411 * * * * [progress]: [ 124 / 315 ] simplifiying candidate #real (real->posit16 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))> 90.411 * * * * [progress]: [ 125 / 315 ] simplifiying candidate # 90.411 * * * * [progress]: [ 126 / 315 ] simplifiying candidate # 90.411 * * * * [progress]: [ 127 / 315 ] simplifiying candidate # 90.411 * * * * [progress]: [ 128 / 315 ] simplifiying candidate # 90.411 * [simplify]: Simplifying (- 1) 90.411 * * [simplify]: iters left: 2 (2 enodes) 90.413 * * [simplify]: iters left: 1 (9 enodes) 90.416 * * [simplify]: Extracting #0: cost 1 inf + 0 90.417 * * [simplify]: Extracting #1: cost 0 inf + 1 90.417 * [simplify]: Simplified to -1 90.417 * [simplify]: Simplified (2 2) to (λ (k n) (pow (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) -1)) 90.417 * * * * [progress]: [ 129 / 315 ] simplifiying candidate # 90.417 * * * * [progress]: [ 130 / 315 ] simplifiying candidate # 90.417 * * * * [progress]: [ 131 / 315 ] simplifiying candidate # 90.417 * * * * [progress]: [ 132 / 315 ] simplifiying candidate # 90.417 * * * * [progress]: [ 133 / 315 ] simplifiying candidate # 90.417 * * * * [progress]: [ 134 / 315 ] simplifiying candidate # 90.417 * * * * [progress]: [ 135 / 315 ] simplifiying candidate # 90.417 * * * * [progress]: [ 136 / 315 ] simplifiying candidate # 90.418 * [simplify]: Simplifying (- 0 (- (log (sqrt k)) (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)))) 90.418 * * [simplify]: iters left: 6 (18 enodes) 90.428 * * [simplify]: iters left: 5 (74 enodes) 90.446 * * [simplify]: iters left: 4 (139 enodes) 90.486 * * [simplify]: iters left: 3 (434 enodes) 90.775 * * [simplify]: Extracting #0: cost 1 inf + 0 90.775 * * [simplify]: Extracting #1: cost 61 inf + 0 90.776 * * [simplify]: Extracting #2: cost 227 inf + 1 90.777 * * [simplify]: Extracting #3: cost 292 inf + 2471 90.781 * * [simplify]: Extracting #4: cost 223 inf + 26602 90.788 * * [simplify]: Extracting #5: cost 156 inf + 44396 90.815 * * [simplify]: Extracting #6: cost 19 inf + 92109 90.851 * * [simplify]: Extracting #7: cost 0 inf + 99178 90.875 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))) 90.875 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))))) 90.875 * * * * [progress]: [ 137 / 315 ] simplifiying candidate # 90.876 * [simplify]: Simplifying (- 0 (- (log (sqrt k)) (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)))) 90.876 * * [simplify]: iters left: 6 (17 enodes) 90.885 * * [simplify]: iters left: 5 (72 enodes) 90.910 * * [simplify]: iters left: 4 (132 enodes) 90.964 * * [simplify]: iters left: 3 (361 enodes) 91.189 * * [simplify]: Extracting #0: cost 1 inf + 0 91.190 * * [simplify]: Extracting #1: cost 52 inf + 0 91.190 * * [simplify]: Extracting #2: cost 200 inf + 1 91.191 * * [simplify]: Extracting #3: cost 263 inf + 1752 91.198 * * [simplify]: Extracting #4: cost 207 inf + 18926 91.218 * * [simplify]: Extracting #5: cost 62 inf + 61899 91.250 * * [simplify]: Extracting #6: cost 2 inf + 80215 91.283 * * [simplify]: Extracting #7: cost 0 inf + 80538 91.321 * * [simplify]: Extracting #8: cost 0 inf + 80535 91.355 * [simplify]: Simplified to (- (* (/ (+ (log n) (log (* PI 2))) 2) (- 1 k)) (log (sqrt k))) 91.356 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (+ (log n) (log (* PI 2))) 2) (- 1 k)) (log (sqrt k))))) 91.356 * * * * [progress]: [ 138 / 315 ] simplifiying candidate # 91.356 * [simplify]: Simplifying (- 0 (- (log (sqrt k)) (* (log (* n (* 2 PI))) (/ (- 1 k) 2)))) 91.356 * * [simplify]: iters left: 6 (16 enodes) 91.365 * * [simplify]: iters left: 5 (71 enodes) 91.389 * * [simplify]: iters left: 4 (139 enodes) 91.421 * * [simplify]: iters left: 3 (332 enodes) 91.612 * * [simplify]: Extracting #0: cost 1 inf + 0 91.612 * * [simplify]: Extracting #1: cost 40 inf + 0 91.612 * * [simplify]: Extracting #2: cost 167 inf + 1 91.613 * * [simplify]: Extracting #3: cost 234 inf + 545 91.615 * * [simplify]: Extracting #4: cost 226 inf + 5441 91.622 * * [simplify]: Extracting #5: cost 53 inf + 44372 91.641 * * [simplify]: Extracting #6: cost 2 inf + 59693 91.668 * * [simplify]: Extracting #7: cost 0 inf + 60440 91.685 * * [simplify]: Extracting #8: cost 0 inf + 60438 91.698 * [simplify]: Simplified to (- (* (log (* PI (* n 2))) (/ (- 1 k) 2)) (log (sqrt k))) 91.698 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (log (* PI (* n 2))) (/ (- 1 k) 2)) (log (sqrt k))))) 91.698 * * * * [progress]: [ 139 / 315 ] simplifiying candidate # 91.698 * [simplify]: Simplifying (- 0 (- (log (sqrt k)) (* (log (* n (* 2 PI))) (/ (- 1 k) 2)))) 91.699 * * [simplify]: iters left: 6 (16 enodes) 91.704 * * [simplify]: iters left: 5 (71 enodes) 91.716 * * [simplify]: iters left: 4 (139 enodes) 91.755 * * [simplify]: iters left: 3 (332 enodes) 91.951 * * [simplify]: Extracting #0: cost 1 inf + 0 91.951 * * [simplify]: Extracting #1: cost 40 inf + 0 91.951 * * [simplify]: Extracting #2: cost 167 inf + 1 91.952 * * [simplify]: Extracting #3: cost 234 inf + 545 91.954 * * [simplify]: Extracting #4: cost 226 inf + 5441 91.962 * * [simplify]: Extracting #5: cost 53 inf + 44372 91.974 * * [simplify]: Extracting #6: cost 2 inf + 59693 91.994 * * [simplify]: Extracting #7: cost 0 inf + 60440 92.007 * * [simplify]: Extracting #8: cost 0 inf + 60438 92.020 * [simplify]: Simplified to (- (* (log (* PI (* n 2))) (/ (- 1 k) 2)) (log (sqrt k))) 92.021 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (log (* PI (* n 2))) (/ (- 1 k) 2)) (log (sqrt k))))) 92.021 * * * * [progress]: [ 140 / 315 ] simplifiying candidate # 92.021 * [simplify]: Simplifying (- 0 (- (log (sqrt k)) (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 92.021 * * [simplify]: iters left: 6 (16 enodes) 92.028 * * [simplify]: iters left: 5 (70 enodes) 92.048 * * [simplify]: iters left: 4 (131 enodes) 92.095 * * [simplify]: iters left: 3 (297 enodes) 92.221 * * [simplify]: Extracting #0: cost 1 inf + 0 92.221 * * [simplify]: Extracting #1: cost 49 inf + 0 92.221 * * [simplify]: Extracting #2: cost 218 inf + 1 92.222 * * [simplify]: Extracting #3: cost 310 inf + 76 92.224 * * [simplify]: Extracting #4: cost 262 inf + 7642 92.232 * * [simplify]: Extracting #5: cost 78 inf + 50599 92.256 * * [simplify]: Extracting #6: cost 5 inf + 74157 92.274 * * [simplify]: Extracting #7: cost 0 inf + 76578 92.288 * [simplify]: Simplified to (- (/ (* (log (* (* 2 PI) n)) (- 1 k)) 2) (log (sqrt k))) 92.288 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (* (log (* (* 2 PI) n)) (- 1 k)) 2) (log (sqrt k))))) 92.289 * * * * [progress]: [ 141 / 315 ] simplifiying candidate # 92.289 * [simplify]: Simplifying (- 0 (log (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 92.289 * * [simplify]: iters left: 6 (15 enodes) 92.293 * * [simplify]: iters left: 5 (64 enodes) 92.311 * * [simplify]: iters left: 4 (109 enodes) 92.346 * * [simplify]: iters left: 3 (203 enodes) 92.429 * * [simplify]: Extracting #0: cost 1 inf + 0 92.429 * * [simplify]: Extracting #1: cost 13 inf + 0 92.430 * * [simplify]: Extracting #2: cost 106 inf + 1 92.430 * * [simplify]: Extracting #3: cost 177 inf + 3 92.432 * * [simplify]: Extracting #4: cost 198 inf + 204 92.434 * * [simplify]: Extracting #5: cost 151 inf + 8478 92.450 * * [simplify]: Extracting #6: cost 24 inf + 40292 92.466 * * [simplify]: Extracting #7: cost 0 inf + 51008 92.482 * * [simplify]: Extracting #8: cost 0 inf + 49521 92.498 * [simplify]: Simplified to (- (- (log (sqrt k)) (* (log (* n (* 2 PI))) (- 1/2 (/ k 2))))) 92.499 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (- (log (sqrt k)) (* (log (* n (* 2 PI))) (- 1/2 (/ k 2))))))) 92.499 * * * * [progress]: [ 142 / 315 ] simplifiying candidate # 92.499 * [simplify]: Simplifying (- (log 1) (- (log (sqrt k)) (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)))) 92.499 * * [simplify]: iters left: 6 (18 enodes) 92.510 * * [simplify]: iters left: 5 (75 enodes) 92.534 * * [simplify]: iters left: 4 (135 enodes) 92.600 * * [simplify]: iters left: 3 (430 enodes) 92.821 * * [simplify]: Extracting #0: cost 1 inf + 0 92.821 * * [simplify]: Extracting #1: cost 58 inf + 0 92.821 * * [simplify]: Extracting #2: cost 212 inf + 1 92.823 * * [simplify]: Extracting #3: cost 277 inf + 1881 92.829 * * [simplify]: Extracting #4: cost 225 inf + 19973 92.836 * * [simplify]: Extracting #5: cost 140 inf + 44174 92.852 * * [simplify]: Extracting #6: cost 16 inf + 87594 92.871 * * [simplify]: Extracting #7: cost 0 inf + 93898 92.889 * [simplify]: Simplified to (- (* (+ (+ (log 2) (log n)) (log PI)) (/ (- 1 k) 2)) (log (sqrt k))) 92.889 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (+ (+ (log 2) (log n)) (log PI)) (/ (- 1 k) 2)) (log (sqrt k))))) 92.889 * * * * [progress]: [ 143 / 315 ] simplifiying candidate # 92.890 * [simplify]: Simplifying (- (log 1) (- (log (sqrt k)) (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)))) 92.890 * * [simplify]: iters left: 6 (17 enodes) 92.895 * * [simplify]: iters left: 5 (73 enodes) 92.916 * * [simplify]: iters left: 4 (128 enodes) 92.958 * * [simplify]: iters left: 3 (355 enodes) 93.133 * * [simplify]: Extracting #0: cost 1 inf + 0 93.133 * * [simplify]: Extracting #1: cost 47 inf + 0 93.134 * * [simplify]: Extracting #2: cost 184 inf + 1 93.136 * * [simplify]: Extracting #3: cost 244 inf + 2664 93.139 * * [simplify]: Extracting #4: cost 195 inf + 19789 93.148 * * [simplify]: Extracting #5: cost 74 inf + 53480 93.162 * * [simplify]: Extracting #6: cost 2 inf + 74312 93.197 * * [simplify]: Extracting #7: cost 0 inf + 74608 93.226 * [simplify]: Simplified to (- (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)) (log (sqrt k))) 93.226 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)) (log (sqrt k))))) 93.226 * * * * [progress]: [ 144 / 315 ] simplifiying candidate # 93.226 * [simplify]: Simplifying (- (log 1) (- (log (sqrt k)) (* (log (* n (* 2 PI))) (/ (- 1 k) 2)))) 93.226 * * [simplify]: iters left: 6 (16 enodes) 93.231 * * [simplify]: iters left: 5 (72 enodes) 93.243 * * [simplify]: iters left: 4 (135 enodes) 93.286 * * [simplify]: iters left: 3 (326 enodes) 93.428 * * [simplify]: Extracting #0: cost 1 inf + 0 93.428 * * [simplify]: Extracting #1: cost 36 inf + 0 93.429 * * [simplify]: Extracting #2: cost 158 inf + 1 93.431 * * [simplify]: Extracting #3: cost 225 inf + 534 93.434 * * [simplify]: Extracting #4: cost 211 inf + 6945 93.451 * * [simplify]: Extracting #5: cost 36 inf + 46280 93.475 * * [simplify]: Extracting #6: cost 0 inf + 57596 93.504 * * [simplify]: Extracting #7: cost 0 inf + 57595 93.518 * [simplify]: Simplified to (- (/ (log (* (* PI 2) n)) (/ 2 (- 1 k))) (log (sqrt k))) 93.518 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (log (* (* PI 2) n)) (/ 2 (- 1 k))) (log (sqrt k))))) 93.518 * * * * [progress]: [ 145 / 315 ] simplifiying candidate # 93.518 * [simplify]: Simplifying (- (log 1) (- (log (sqrt k)) (* (log (* n (* 2 PI))) (/ (- 1 k) 2)))) 93.518 * * [simplify]: iters left: 6 (16 enodes) 93.524 * * [simplify]: iters left: 5 (72 enodes) 93.536 * * [simplify]: iters left: 4 (135 enodes) 93.588 * * [simplify]: iters left: 3 (326 enodes) 93.756 * * [simplify]: Extracting #0: cost 1 inf + 0 93.756 * * [simplify]: Extracting #1: cost 36 inf + 0 93.757 * * [simplify]: Extracting #2: cost 158 inf + 1 93.758 * * [simplify]: Extracting #3: cost 225 inf + 534 93.762 * * [simplify]: Extracting #4: cost 211 inf + 6945 93.778 * * [simplify]: Extracting #5: cost 36 inf + 46280 93.792 * * [simplify]: Extracting #6: cost 0 inf + 57596 93.807 * * [simplify]: Extracting #7: cost 0 inf + 57595 93.827 * [simplify]: Simplified to (- (/ (log (* (* PI 2) n)) (/ 2 (- 1 k))) (log (sqrt k))) 93.827 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (log (* (* PI 2) n)) (/ 2 (- 1 k))) (log (sqrt k))))) 93.827 * * * * [progress]: [ 146 / 315 ] simplifiying candidate # 93.828 * [simplify]: Simplifying (- (log 1) (- (log (sqrt k)) (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 93.828 * * [simplify]: iters left: 6 (16 enodes) 93.837 * * [simplify]: iters left: 5 (71 enodes) 93.850 * * [simplify]: iters left: 4 (127 enodes) 93.875 * * [simplify]: iters left: 3 (292 enodes) 93.992 * * [simplify]: Extracting #0: cost 1 inf + 0 93.992 * * [simplify]: Extracting #1: cost 40 inf + 0 93.993 * * [simplify]: Extracting #2: cost 203 inf + 1 93.994 * * [simplify]: Extracting #3: cost 295 inf + 76 93.995 * * [simplify]: Extracting #4: cost 257 inf + 5237 94.003 * * [simplify]: Extracting #5: cost 76 inf + 46933 94.019 * * [simplify]: Extracting #6: cost 2 inf + 70643 94.034 * * [simplify]: Extracting #7: cost 0 inf + 71251 94.047 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (log (sqrt k))) 94.047 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (log (sqrt k))))) 94.047 * * * * [progress]: [ 147 / 315 ] simplifiying candidate # 94.047 * [simplify]: Simplifying (- (log 1) (log (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 94.047 * * [simplify]: iters left: 6 (15 enodes) 94.052 * * [simplify]: iters left: 5 (65 enodes) 94.070 * * [simplify]: iters left: 4 (104 enodes) 94.087 * * [simplify]: iters left: 3 (191 enodes) 94.153 * * [simplify]: Extracting #0: cost 1 inf + 0 94.153 * * [simplify]: Extracting #1: cost 7 inf + 0 94.153 * * [simplify]: Extracting #2: cost 80 inf + 1 94.154 * * [simplify]: Extracting #3: cost 157 inf + 3 94.154 * * [simplify]: Extracting #4: cost 191 inf + 314 94.156 * * [simplify]: Extracting #5: cost 127 inf + 11917 94.161 * * [simplify]: Extracting #6: cost 30 inf + 35082 94.170 * * [simplify]: Extracting #7: cost 0 inf + 47065 94.177 * * [simplify]: Extracting #8: cost 0 inf + 46545 94.187 * [simplify]: Simplified to (- (- (log (sqrt k)) (/ (* (log (* (* 2 PI) n)) (- 1 k)) 2))) 94.187 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (- (log (sqrt k)) (/ (* (log (* (* 2 PI) n)) (- 1 k)) 2))))) 94.187 * * * * [progress]: [ 148 / 315 ] simplifiying candidate # 94.187 * * * * [progress]: [ 149 / 315 ] simplifiying candidate # 94.187 * * * * [progress]: [ 150 / 315 ] simplifiying candidate # 94.188 * [simplify]: Simplifying (/ (* (* 1 1) 1) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 94.188 * * [simplify]: iters left: 6 (19 enodes) 94.198 * * [simplify]: iters left: 5 (79 enodes) 94.227 * * [simplify]: iters left: 4 (195 enodes) 94.301 * * [simplify]: Extracting #0: cost 1 inf + 0 94.301 * * [simplify]: Extracting #1: cost 50 inf + 0 94.302 * * [simplify]: Extracting #2: cost 125 inf + 124 94.303 * * [simplify]: Extracting #3: cost 159 inf + 617 94.305 * * [simplify]: Extracting #4: cost 159 inf + 955 94.312 * * [simplify]: Extracting #5: cost 87 inf + 28563 94.331 * * [simplify]: Extracting #6: cost 14 inf + 69758 94.355 * * [simplify]: Extracting #7: cost 0 inf + 79678 94.373 * [simplify]: Simplified to (/ (* (* (pow (* n (* PI 2)) (/ (- 1 k) 2)) (pow (* n (* PI 2)) (/ (- 1 k) 2))) (pow (* n (* PI 2)) (/ (- 1 k) 2))) (* k (sqrt k))) 94.373 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (/ (* (* (pow (* n (* PI 2)) (/ (- 1 k) 2)) (pow (* n (* PI 2)) (/ (- 1 k) 2))) (pow (* n (* PI 2)) (/ (- 1 k) 2))) (* k (sqrt k))))) 94.373 * * * * [progress]: [ 151 / 315 ] simplifiying candidate # 94.374 * [simplify]: Simplifying (/ (* (* 1 1) 1) (* (* (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 94.374 * * [simplify]: iters left: 6 (17 enodes) 94.379 * * [simplify]: iters left: 5 (74 enodes) 94.396 * * [simplify]: iters left: 4 (166 enodes) 94.466 * * [simplify]: iters left: 3 (448 enodes) 94.925 * * [simplify]: Extracting #0: cost 1 inf + 0 94.925 * * [simplify]: Extracting #1: cost 70 inf + 0 94.927 * * [simplify]: Extracting #2: cost 345 inf + 1 94.936 * * [simplify]: Extracting #3: cost 425 inf + 331 94.948 * * [simplify]: Extracting #4: cost 343 inf + 37653 94.994 * * [simplify]: Extracting #5: cost 156 inf + 150291 95.055 * * [simplify]: Extracting #6: cost 15 inf + 270876 95.153 * * [simplify]: Extracting #7: cost 0 inf + 280387 95.233 * * [simplify]: Extracting #8: cost 0 inf + 278795 95.296 * * [simplify]: Extracting #9: cost 0 inf + 278282 95.395 * [simplify]: Simplified to (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))) 95.395 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))))) 95.395 * * * * [progress]: [ 152 / 315 ] simplifiying candidate # 95.395 * * * * [progress]: [ 153 / 315 ] simplifiying candidate # 95.395 * * * * [progress]: [ 154 / 315 ] simplifiying candidate # 95.395 * * * * [progress]: [ 155 / 315 ] simplifiying candidate # 95.395 * * * * [progress]: [ 156 / 315 ] simplifiying candidate # 95.396 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 95.396 * * [simplify]: iters left: 6 (17 enodes) 95.406 * * [simplify]: iters left: 5 (72 enodes) 95.432 * * [simplify]: iters left: 4 (117 enodes) 95.451 * * [simplify]: iters left: 3 (190 enodes) 95.492 * * [simplify]: iters left: 2 (287 enodes) 95.566 * * [simplify]: iters left: 1 (452 enodes) 95.713 * * [simplify]: Extracting #0: cost 1 inf + 0 95.713 * * [simplify]: Extracting #1: cost 6 inf + 0 95.713 * * [simplify]: Extracting #2: cost 9 inf + 1 95.713 * * [simplify]: Extracting #3: cost 14 inf + 1 95.713 * * [simplify]: Extracting #4: cost 44 inf + 1 95.713 * * [simplify]: Extracting #5: cost 127 inf + 44 95.717 * * [simplify]: Extracting #6: cost 173 inf + 925 95.720 * * [simplify]: Extracting #7: cost 94 inf + 19256 95.728 * * [simplify]: Extracting #8: cost 19 inf + 59502 95.740 * * [simplify]: Extracting #9: cost 1 inf + 72528 95.758 * * [simplify]: Extracting #10: cost 0 inf + 73131 95.780 * * [simplify]: Extracting #11: cost 0 inf + 72720 95.791 * [simplify]: Simplified to (/ 1 (* (cbrt (/ (sqrt k) (pow (* (* PI 2) n) (* 1/2 (- 1 k))))) (cbrt (/ (sqrt k) (pow (* (* PI 2) n) (* 1/2 (- 1 k))))))) 95.791 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* (* PI 2) n) (* 1/2 (- 1 k))))) (cbrt (/ (sqrt k) (pow (* (* PI 2) n) (* 1/2 (- 1 k))))))) (/ (cbrt 1) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 95.792 * [simplify]: Simplifying (/ (cbrt 1) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 95.792 * * [simplify]: iters left: 6 (15 enodes) 95.796 * * [simplify]: iters left: 5 (60 enodes) 95.806 * * [simplify]: iters left: 4 (91 enodes) 95.834 * * [simplify]: iters left: 3 (133 enodes) 95.858 * * [simplify]: iters left: 2 (225 enodes) 95.933 * * [simplify]: iters left: 1 (398 enodes) 96.070 * * [simplify]: Extracting #0: cost 1 inf + 0 96.070 * * [simplify]: Extracting #1: cost 4 inf + 0 96.070 * * [simplify]: Extracting #2: cost 5 inf + 1 96.070 * * [simplify]: Extracting #3: cost 10 inf + 1 96.070 * * [simplify]: Extracting #4: cost 43 inf + 1 96.071 * * [simplify]: Extracting #5: cost 128 inf + 85 96.071 * * [simplify]: Extracting #6: cost 175 inf + 757 96.074 * * [simplify]: Extracting #7: cost 109 inf + 16812 96.084 * * [simplify]: Extracting #8: cost 14 inf + 63749 96.100 * * [simplify]: Extracting #9: cost 0 inf + 72534 96.127 * * [simplify]: Extracting #10: cost 0 inf + 71970 96.142 * [simplify]: Simplified to (/ 1 (cbrt (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 96.142 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ 1 (cbrt (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))) 96.142 * * * * [progress]: [ 157 / 315 ] simplifiying candidate # 96.142 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 96.142 * * [simplify]: iters left: 6 (16 enodes) 96.147 * * [simplify]: iters left: 5 (65 enodes) 96.160 * * [simplify]: iters left: 4 (96 enodes) 96.186 * * [simplify]: iters left: 3 (138 enodes) 96.210 * * [simplify]: iters left: 2 (230 enodes) 96.288 * * [simplify]: iters left: 1 (403 enodes) 96.414 * * [simplify]: Extracting #0: cost 1 inf + 0 96.414 * * [simplify]: Extracting #1: cost 4 inf + 0 96.414 * * [simplify]: Extracting #2: cost 5 inf + 1 96.414 * * [simplify]: Extracting #3: cost 10 inf + 1 96.415 * * [simplify]: Extracting #4: cost 42 inf + 1 96.415 * * [simplify]: Extracting #5: cost 125 inf + 85 96.417 * * [simplify]: Extracting #6: cost 161 inf + 716 96.422 * * [simplify]: Extracting #7: cost 96 inf + 15242 96.427 * * [simplify]: Extracting #8: cost 46 inf + 40496 96.438 * * [simplify]: Extracting #9: cost 7 inf + 70905 96.451 * * [simplify]: Extracting #10: cost 0 inf + 75775 96.469 * * [simplify]: Extracting #11: cost 0 inf + 74802 96.480 * [simplify]: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* (* PI 2) n) (/ (- 1 k) 2))))) 96.481 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* (* PI 2) n) (/ (- 1 k) 2))))) (/ (cbrt 1) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 96.481 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 96.481 * * [simplify]: iters left: 6 (15 enodes) 96.486 * * [simplify]: iters left: 5 (60 enodes) 96.495 * * [simplify]: iters left: 4 (91 enodes) 96.512 * * [simplify]: iters left: 3 (133 enodes) 96.548 * * [simplify]: iters left: 2 (225 enodes) 96.624 * * [simplify]: iters left: 1 (398 enodes) 96.751 * * [simplify]: Extracting #0: cost 1 inf + 0 96.751 * * [simplify]: Extracting #1: cost 4 inf + 0 96.751 * * [simplify]: Extracting #2: cost 5 inf + 1 96.751 * * [simplify]: Extracting #3: cost 10 inf + 1 96.751 * * [simplify]: Extracting #4: cost 43 inf + 1 96.752 * * [simplify]: Extracting #5: cost 128 inf + 85 96.753 * * [simplify]: Extracting #6: cost 175 inf + 757 96.757 * * [simplify]: Extracting #7: cost 109 inf + 16812 96.767 * * [simplify]: Extracting #8: cost 14 inf + 63629 96.781 * * [simplify]: Extracting #9: cost 0 inf + 72374 96.794 * * [simplify]: Extracting #10: cost 0 inf + 71810 96.810 * [simplify]: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 96.810 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ 1 (sqrt (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))) 96.810 * * * * [progress]: [ 158 / 315 ] simplifiying candidate # 96.810 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2)))) 96.811 * * [simplify]: iters left: 6 (14 enodes) 96.815 * * [simplify]: iters left: 5 (59 enodes) 96.827 * * [simplify]: iters left: 4 (105 enodes) 96.844 * * [simplify]: iters left: 3 (212 enodes) 96.934 * * [simplify]: Extracting #0: cost 1 inf + 0 96.934 * * [simplify]: Extracting #1: cost 42 inf + 0 96.935 * * [simplify]: Extracting #2: cost 117 inf + 1 96.936 * * [simplify]: Extracting #3: cost 145 inf + 3 96.937 * * [simplify]: Extracting #4: cost 137 inf + 739 96.940 * * [simplify]: Extracting #5: cost 79 inf + 14616 96.951 * * [simplify]: Extracting #6: cost 18 inf + 44395 96.967 * * [simplify]: Extracting #7: cost 0 inf + 57179 96.982 * [simplify]: Simplified to (/ (/ (pow n (/ (- 1 k) 2)) (cbrt (sqrt k))) (cbrt (sqrt k))) 96.982 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 96.983 * [simplify]: Simplifying (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 96.983 * * [simplify]: iters left: 6 (13 enodes) 96.991 * * [simplify]: iters left: 5 (53 enodes) 97.011 * * [simplify]: iters left: 4 (89 enodes) 97.040 * * [simplify]: iters left: 3 (146 enodes) 97.100 * * [simplify]: iters left: 2 (298 enodes) 97.226 * * [simplify]: Extracting #0: cost 1 inf + 0 97.226 * * [simplify]: Extracting #1: cost 45 inf + 0 97.226 * * [simplify]: Extracting #2: cost 125 inf + 1 97.227 * * [simplify]: Extracting #3: cost 170 inf + 3 97.229 * * [simplify]: Extracting #4: cost 162 inf + 836 97.232 * * [simplify]: Extracting #5: cost 119 inf + 7078 97.243 * * [simplify]: Extracting #6: cost 55 inf + 42982 97.263 * * [simplify]: Extracting #7: cost 2 inf + 84384 97.286 * * [simplify]: Extracting #8: cost 0 inf + 84317 97.310 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k))) 97.310 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k))))) 97.310 * * * * [progress]: [ 159 / 315 ] simplifiying candidate # 97.311 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 97.311 * * [simplify]: iters left: 6 (19 enodes) 97.321 * * [simplify]: iters left: 5 (82 enodes) 97.341 * * [simplify]: iters left: 4 (145 enodes) 97.375 * * [simplify]: iters left: 3 (243 enodes) 97.438 * * [simplify]: iters left: 2 (423 enodes) 97.586 * * [simplify]: Extracting #0: cost 1 inf + 0 97.586 * * [simplify]: Extracting #1: cost 18 inf + 0 97.586 * * [simplify]: Extracting #2: cost 33 inf + 1 97.586 * * [simplify]: Extracting #3: cost 47 inf + 1 97.587 * * [simplify]: Extracting #4: cost 88 inf + 286 97.588 * * [simplify]: Extracting #5: cost 107 inf + 2157 97.594 * * [simplify]: Extracting #6: cost 55 inf + 16550 97.603 * * [simplify]: Extracting #7: cost 3 inf + 39495 97.610 * * [simplify]: Extracting #8: cost 0 inf + 40137 97.617 * * [simplify]: Extracting #9: cost 0 inf + 39955 97.624 * [simplify]: Simplified to (* (/ (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (sqrt k)))) 97.625 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (sqrt k)))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 97.625 * [simplify]: Simplifying (/ (cbrt 1) (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 97.625 * * [simplify]: iters left: 6 (16 enodes) 97.634 * * [simplify]: iters left: 5 (65 enodes) 97.650 * * [simplify]: iters left: 4 (101 enodes) 97.666 * * [simplify]: iters left: 3 (145 enodes) 97.711 * * [simplify]: iters left: 2 (246 enodes) 97.770 * * [simplify]: iters left: 1 (410 enodes) 97.926 * * [simplify]: Extracting #0: cost 1 inf + 0 97.926 * * [simplify]: Extracting #1: cost 7 inf + 0 97.926 * * [simplify]: Extracting #2: cost 12 inf + 1 97.926 * * [simplify]: Extracting #3: cost 37 inf + 1 97.927 * * [simplify]: Extracting #4: cost 101 inf + 327 97.928 * * [simplify]: Extracting #5: cost 141 inf + 1238 97.930 * * [simplify]: Extracting #6: cost 75 inf + 18710 97.939 * * [simplify]: Extracting #7: cost 4 inf + 55862 97.949 * * [simplify]: Extracting #8: cost 0 inf + 57604 97.958 * * [simplify]: Extracting #9: cost 0 inf + 57484 97.976 * [simplify]: Simplified to (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (cbrt (sqrt k))) 97.977 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (cbrt (sqrt k))))) 97.977 * * * * [progress]: [ 160 / 315 ] simplifiying candidate # 97.977 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 97.977 * * [simplify]: iters left: 6 (18 enodes) 97.987 * * [simplify]: iters left: 5 (75 enodes) 98.000 * * [simplify]: iters left: 4 (119 enodes) 98.026 * * [simplify]: iters left: 3 (198 enodes) 98.099 * * [simplify]: iters left: 2 (353 enodes) 98.207 * * [simplify]: Extracting #0: cost 1 inf + 0 98.207 * * [simplify]: Extracting #1: cost 15 inf + 0 98.207 * * [simplify]: Extracting #2: cost 26 inf + 1 98.207 * * [simplify]: Extracting #3: cost 45 inf + 1 98.207 * * [simplify]: Extracting #4: cost 93 inf + 811 98.208 * * [simplify]: Extracting #5: cost 104 inf + 2081 98.210 * * [simplify]: Extracting #6: cost 51 inf + 11492 98.214 * * [simplify]: Extracting #7: cost 9 inf + 27770 98.219 * * [simplify]: Extracting #8: cost 0 inf + 34926 98.227 * [simplify]: Simplified to (/ (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 98.227 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 98.227 * [simplify]: Simplifying (/ (cbrt 1) (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 98.227 * * [simplify]: iters left: 6 (16 enodes) 98.233 * * [simplify]: iters left: 5 (65 enodes) 98.253 * * [simplify]: iters left: 4 (102 enodes) 98.283 * * [simplify]: iters left: 3 (146 enodes) 98.310 * * [simplify]: iters left: 2 (248 enodes) 98.398 * * [simplify]: iters left: 1 (406 enodes) 98.500 * * [simplify]: Extracting #0: cost 1 inf + 0 98.500 * * [simplify]: Extracting #1: cost 7 inf + 0 98.500 * * [simplify]: Extracting #2: cost 13 inf + 1 98.500 * * [simplify]: Extracting #3: cost 45 inf + 1 98.500 * * [simplify]: Extracting #4: cost 120 inf + 327 98.501 * * [simplify]: Extracting #5: cost 138 inf + 1611 98.503 * * [simplify]: Extracting #6: cost 95 inf + 7081 98.508 * * [simplify]: Extracting #7: cost 31 inf + 37776 98.520 * * [simplify]: Extracting #8: cost 0 inf + 64330 98.533 * * [simplify]: Extracting #9: cost 0 inf + 63753 98.543 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (cbrt (sqrt k))) 98.543 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (cbrt (sqrt k))))) 98.543 * * * * [progress]: [ 161 / 315 ] simplifiying candidate # 98.543 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 98.543 * * [simplify]: iters left: 6 (9 enodes) 98.546 * * [simplify]: iters left: 5 (33 enodes) 98.552 * * [simplify]: iters left: 4 (60 enodes) 98.563 * * [simplify]: iters left: 3 (102 enodes) 98.599 * * [simplify]: iters left: 2 (105 enodes) 98.612 * * [simplify]: Extracting #0: cost 1 inf + 0 98.612 * * [simplify]: Extracting #1: cost 6 inf + 0 98.612 * * [simplify]: Extracting #2: cost 9 inf + 1 98.612 * * [simplify]: Extracting #3: cost 11 inf + 1 98.613 * * [simplify]: Extracting #4: cost 2 inf + 1053 98.613 * * [simplify]: Extracting #5: cost 0 inf + 1376 98.614 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 98.614 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 98.614 * [simplify]: Simplifying (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 98.615 * * [simplify]: iters left: 6 (15 enodes) 98.624 * * [simplify]: iters left: 5 (62 enodes) 98.641 * * [simplify]: iters left: 4 (102 enodes) 98.659 * * [simplify]: iters left: 3 (166 enodes) 98.705 * * [simplify]: iters left: 2 (338 enodes) 98.848 * * [simplify]: Extracting #0: cost 1 inf + 0 98.848 * * [simplify]: Extracting #1: cost 57 inf + 0 98.849 * * [simplify]: Extracting #2: cost 141 inf + 1 98.850 * * [simplify]: Extracting #3: cost 188 inf + 3 98.852 * * [simplify]: Extracting #4: cost 168 inf + 3856 98.858 * * [simplify]: Extracting #5: cost 119 inf + 16285 98.878 * * [simplify]: Extracting #6: cost 18 inf + 82990 98.905 * * [simplify]: Extracting #7: cost 1 inf + 96593 98.931 * * [simplify]: Extracting #8: cost 0 inf + 96998 98.954 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt k))) 98.954 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt k))))) 98.954 * * * * [progress]: [ 162 / 315 ] simplifiying candidate # 98.955 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 98.955 * * [simplify]: iters left: 6 (18 enodes) 98.960 * * [simplify]: iters left: 5 (78 enodes) 98.974 * * [simplify]: iters left: 4 (135 enodes) 99.018 * * [simplify]: iters left: 3 (266 enodes) 99.154 * * [simplify]: Extracting #0: cost 1 inf + 0 99.155 * * [simplify]: Extracting #1: cost 43 inf + 0 99.155 * * [simplify]: Extracting #2: cost 117 inf + 1 99.156 * * [simplify]: Extracting #3: cost 161 inf + 2 99.158 * * [simplify]: Extracting #4: cost 163 inf + 539 99.160 * * [simplify]: Extracting #5: cost 119 inf + 4966 99.166 * * [simplify]: Extracting #6: cost 71 inf + 18367 99.178 * * [simplify]: Extracting #7: cost 16 inf + 53120 99.189 * * [simplify]: Extracting #8: cost 0 inf + 65353 99.199 * [simplify]: Simplified to (/ (pow (* 2 (* PI n)) (- 1/4 (/ k 4))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 99.199 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* 2 (* PI n)) (- 1/4 (/ k 4))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 99.199 * [simplify]: Simplifying (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 99.200 * * [simplify]: iters left: 6 (16 enodes) 99.205 * * [simplify]: iters left: 5 (68 enodes) 99.217 * * [simplify]: iters left: 4 (115 enodes) 99.238 * * [simplify]: iters left: 3 (196 enodes) 99.296 * * [simplify]: iters left: 2 (402 enodes) 99.475 * * [simplify]: Extracting #0: cost 1 inf + 0 99.475 * * [simplify]: Extracting #1: cost 47 inf + 0 99.476 * * [simplify]: Extracting #2: cost 129 inf + 1 99.477 * * [simplify]: Extracting #3: cost 189 inf + 3 99.479 * * [simplify]: Extracting #4: cost 186 inf + 1047 99.484 * * [simplify]: Extracting #5: cost 123 inf + 18077 99.495 * * [simplify]: Extracting #6: cost 26 inf + 74485 99.509 * * [simplify]: Extracting #7: cost 0 inf + 93010 99.524 * * [simplify]: Extracting #8: cost 0 inf + 92628 99.549 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (cbrt (sqrt k))) 99.549 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (cbrt (sqrt k))))) 99.549 * * * * [progress]: [ 163 / 315 ] simplifiying candidate # 99.549 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow n (/ (- 1 k) 2)))) 99.550 * * [simplify]: iters left: 6 (14 enodes) 99.554 * * [simplify]: iters left: 5 (58 enodes) 99.564 * * [simplify]: iters left: 4 (90 enodes) 99.584 * * [simplify]: iters left: 3 (150 enodes) 99.647 * * [simplify]: iters left: 2 (312 enodes) 99.736 * * [simplify]: Extracting #0: cost 1 inf + 0 99.736 * * [simplify]: Extracting #1: cost 47 inf + 0 99.737 * * [simplify]: Extracting #2: cost 129 inf + 1 99.738 * * [simplify]: Extracting #3: cost 178 inf + 4 99.740 * * [simplify]: Extracting #4: cost 176 inf + 581 99.743 * * [simplify]: Extracting #5: cost 124 inf + 11804 99.749 * * [simplify]: Extracting #6: cost 43 inf + 54509 99.760 * * [simplify]: Extracting #7: cost 0 inf + 86943 99.781 * * [simplify]: Extracting #8: cost 0 inf + 85633 99.792 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) 99.792 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 99.793 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 99.793 * * [simplify]: iters left: 6 (13 enodes) 99.797 * * [simplify]: iters left: 5 (53 enodes) 99.806 * * [simplify]: iters left: 4 (89 enodes) 99.830 * * [simplify]: iters left: 3 (146 enodes) 99.869 * * [simplify]: iters left: 2 (298 enodes) 99.986 * * [simplify]: Extracting #0: cost 1 inf + 0 99.986 * * [simplify]: Extracting #1: cost 45 inf + 0 99.986 * * [simplify]: Extracting #2: cost 125 inf + 1 99.987 * * [simplify]: Extracting #3: cost 170 inf + 3 99.988 * * [simplify]: Extracting #4: cost 162 inf + 876 99.989 * * [simplify]: Extracting #5: cost 119 inf + 7158 99.994 * * [simplify]: Extracting #6: cost 55 inf + 43062 100.005 * * [simplify]: Extracting #7: cost 2 inf + 84464 100.024 * * [simplify]: Extracting #8: cost 0 inf + 84397 100.045 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k))) 100.046 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 100.046 * * * * [progress]: [ 164 / 315 ] simplifiying candidate # 100.046 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 100.046 * * [simplify]: iters left: 6 (19 enodes) 100.056 * * [simplify]: iters left: 5 (79 enodes) 100.071 * * [simplify]: iters left: 4 (117 enodes) 100.090 * * [simplify]: iters left: 3 (174 enodes) 100.149 * * [simplify]: iters left: 2 (280 enodes) 100.217 * * [simplify]: iters left: 1 (446 enodes) 100.423 * * [simplify]: Extracting #0: cost 1 inf + 0 100.423 * * [simplify]: Extracting #1: cost 10 inf + 0 100.423 * * [simplify]: Extracting #2: cost 19 inf + 1 100.424 * * [simplify]: Extracting #3: cost 47 inf + 1 100.425 * * [simplify]: Extracting #4: cost 112 inf + 973 100.426 * * [simplify]: Extracting #5: cost 168 inf + 1394 100.430 * * [simplify]: Extracting #6: cost 106 inf + 8943 100.441 * * [simplify]: Extracting #7: cost 39 inf + 35770 100.452 * * [simplify]: Extracting #8: cost 3 inf + 68060 100.462 * * [simplify]: Extracting #9: cost 0 inf + 69967 100.473 * * [simplify]: Extracting #10: cost 0 inf + 69757 100.491 * * [simplify]: Extracting #11: cost 0 inf + 69547 100.503 * [simplify]: Simplified to (* (cbrt (pow (* (* n 2) PI) (* 1/2 (- 1 k)))) (/ (cbrt (pow (* (* n 2) PI) (* 1/2 (- 1 k)))) (fabs (cbrt k)))) 100.503 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* (* n 2) PI) (* 1/2 (- 1 k)))) (/ (cbrt (pow (* (* n 2) PI) (* 1/2 (- 1 k)))) (fabs (cbrt k)))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 100.503 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 100.504 * * [simplify]: iters left: 6 (16 enodes) 100.508 * * [simplify]: iters left: 5 (65 enodes) 100.518 * * [simplify]: iters left: 4 (101 enodes) 100.549 * * [simplify]: iters left: 3 (145 enodes) 100.599 * * [simplify]: iters left: 2 (246 enodes) 100.667 * * [simplify]: iters left: 1 (410 enodes) 100.802 * * [simplify]: Extracting #0: cost 1 inf + 0 100.802 * * [simplify]: Extracting #1: cost 7 inf + 0 100.802 * * [simplify]: Extracting #2: cost 12 inf + 1 100.802 * * [simplify]: Extracting #3: cost 37 inf + 1 100.803 * * [simplify]: Extracting #4: cost 101 inf + 407 100.803 * * [simplify]: Extracting #5: cost 141 inf + 1318 100.806 * * [simplify]: Extracting #6: cost 75 inf + 18790 100.818 * * [simplify]: Extracting #7: cost 4 inf + 55942 100.827 * * [simplify]: Extracting #8: cost 0 inf + 57684 100.838 * * [simplify]: Extracting #9: cost 0 inf + 57564 100.857 * [simplify]: Simplified to (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (cbrt k))) 100.857 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (cbrt k))))) 100.857 * * * * [progress]: [ 165 / 315 ] simplifiying candidate # 100.858 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 100.858 * * [simplify]: iters left: 6 (18 enodes) 100.868 * * [simplify]: iters left: 5 (74 enodes) 100.880 * * [simplify]: iters left: 4 (111 enodes) 100.898 * * [simplify]: iters left: 3 (160 enodes) 100.932 * * [simplify]: iters left: 2 (258 enodes) 101.012 * * [simplify]: iters left: 1 (428 enodes) 101.165 * * [simplify]: Extracting #0: cost 1 inf + 0 101.165 * * [simplify]: Extracting #1: cost 7 inf + 0 101.165 * * [simplify]: Extracting #2: cost 14 inf + 1 101.165 * * [simplify]: Extracting #3: cost 42 inf + 1 101.166 * * [simplify]: Extracting #4: cost 124 inf + 286 101.166 * * [simplify]: Extracting #5: cost 162 inf + 703 101.168 * * [simplify]: Extracting #6: cost 104 inf + 6577 101.173 * * [simplify]: Extracting #7: cost 42 inf + 31979 101.188 * * [simplify]: Extracting #8: cost 5 inf + 60359 101.204 * * [simplify]: Extracting #9: cost 0 inf + 62343 101.217 * * [simplify]: Extracting #10: cost 0 inf + 61757 101.227 * [simplify]: Simplified to (/ (fabs (pow (* (* n 2) PI) (- 1/4 (/ k 4)))) (fabs (cbrt k))) 101.227 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (fabs (pow (* (* n 2) PI) (- 1/4 (/ k 4)))) (fabs (cbrt k))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 101.228 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 101.228 * * [simplify]: iters left: 6 (16 enodes) 101.237 * * [simplify]: iters left: 5 (65 enodes) 101.249 * * [simplify]: iters left: 4 (102 enodes) 101.265 * * [simplify]: iters left: 3 (146 enodes) 101.308 * * [simplify]: iters left: 2 (248 enodes) 101.392 * * [simplify]: iters left: 1 (406 enodes) 101.505 * * [simplify]: Extracting #0: cost 1 inf + 0 101.506 * * [simplify]: Extracting #1: cost 7 inf + 0 101.506 * * [simplify]: Extracting #2: cost 13 inf + 1 101.506 * * [simplify]: Extracting #3: cost 45 inf + 1 101.506 * * [simplify]: Extracting #4: cost 120 inf + 407 101.507 * * [simplify]: Extracting #5: cost 138 inf + 1691 101.514 * * [simplify]: Extracting #6: cost 95 inf + 7161 101.524 * * [simplify]: Extracting #7: cost 31 inf + 37856 101.540 * * [simplify]: Extracting #8: cost 0 inf + 64410 101.550 * * [simplify]: Extracting #9: cost 0 inf + 63833 101.559 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (sqrt (cbrt k))) 101.559 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (sqrt (cbrt k))))) 101.559 * * * * [progress]: [ 166 / 315 ] simplifiying candidate # 101.559 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) 1)) 101.560 * * [simplify]: iters left: 6 (9 enodes) 101.563 * * [simplify]: iters left: 5 (31 enodes) 101.568 * * [simplify]: iters left: 4 (34 enodes) 101.577 * * [simplify]: Extracting #0: cost 1 inf + 0 101.577 * * [simplify]: Extracting #1: cost 4 inf + 0 101.577 * * [simplify]: Extracting #2: cost 6 inf + 1 101.577 * * [simplify]: Extracting #3: cost 9 inf + 1 101.577 * * [simplify]: Extracting #4: cost 0 inf + 972 101.578 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 101.578 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 101.578 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 101.578 * * [simplify]: iters left: 6 (15 enodes) 101.588 * * [simplify]: iters left: 5 (62 enodes) 101.607 * * [simplify]: iters left: 4 (102 enodes) 101.643 * * [simplify]: iters left: 3 (166 enodes) 101.711 * * [simplify]: iters left: 2 (338 enodes) 101.894 * * [simplify]: Extracting #0: cost 1 inf + 0 101.895 * * [simplify]: Extracting #1: cost 57 inf + 0 101.895 * * [simplify]: Extracting #2: cost 141 inf + 1 101.897 * * [simplify]: Extracting #3: cost 188 inf + 3 101.899 * * [simplify]: Extracting #4: cost 168 inf + 3936 101.904 * * [simplify]: Extracting #5: cost 119 inf + 16365 101.924 * * [simplify]: Extracting #6: cost 18 inf + 83070 101.939 * * [simplify]: Extracting #7: cost 1 inf + 96673 101.952 * * [simplify]: Extracting #8: cost 0 inf + 97078 101.965 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt k))) 101.965 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 101.966 * * * * [progress]: [ 167 / 315 ] simplifiying candidate # 101.966 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 101.966 * * [simplify]: iters left: 6 (18 enodes) 101.971 * * [simplify]: iters left: 5 (77 enodes) 101.986 * * [simplify]: iters left: 4 (121 enodes) 102.023 * * [simplify]: iters left: 3 (197 enodes) 102.098 * * [simplify]: iters left: 2 (377 enodes) 102.248 * * [simplify]: Extracting #0: cost 1 inf + 0 102.249 * * [simplify]: Extracting #1: cost 48 inf + 0 102.249 * * [simplify]: Extracting #2: cost 132 inf + 1 102.250 * * [simplify]: Extracting #3: cost 196 inf + 3 102.251 * * [simplify]: Extracting #4: cost 185 inf + 3235 102.254 * * [simplify]: Extracting #5: cost 108 inf + 25362 102.266 * * [simplify]: Extracting #6: cost 21 inf + 83233 102.281 * * [simplify]: Extracting #7: cost 0 inf + 100146 102.304 * * [simplify]: Extracting #8: cost 0 inf + 99462 102.322 * [simplify]: Simplified to (/ (pow (* n (* PI 2)) (- 1/4 (/ k 4))) (fabs (cbrt k))) 102.322 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* n (* PI 2)) (- 1/4 (/ k 4))) (fabs (cbrt k))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 102.323 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 102.323 * * [simplify]: iters left: 6 (16 enodes) 102.328 * * [simplify]: iters left: 5 (68 enodes) 102.340 * * [simplify]: iters left: 4 (115 enodes) 102.360 * * [simplify]: iters left: 3 (196 enodes) 102.430 * * [simplify]: iters left: 2 (402 enodes) 102.593 * * [simplify]: Extracting #0: cost 1 inf + 0 102.593 * * [simplify]: Extracting #1: cost 47 inf + 0 102.594 * * [simplify]: Extracting #2: cost 129 inf + 1 102.594 * * [simplify]: Extracting #3: cost 189 inf + 3 102.595 * * [simplify]: Extracting #4: cost 186 inf + 1127 102.598 * * [simplify]: Extracting #5: cost 123 inf + 18157 102.610 * * [simplify]: Extracting #6: cost 26 inf + 74565 102.623 * * [simplify]: Extracting #7: cost 0 inf + 93090 102.646 * * [simplify]: Extracting #8: cost 0 inf + 92708 102.672 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (cbrt k))) 102.672 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (cbrt k))))) 102.672 * * * * [progress]: [ 168 / 315 ] simplifiying candidate # 102.673 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) 102.673 * * [simplify]: iters left: 6 (13 enodes) 102.677 * * [simplify]: iters left: 5 (54 enodes) 102.687 * * [simplify]: iters left: 4 (90 enodes) 102.702 * * [simplify]: iters left: 3 (152 enodes) 102.742 * * [simplify]: iters left: 2 (297 enodes) 102.840 * * [simplify]: Extracting #0: cost 1 inf + 0 102.841 * * [simplify]: Extracting #1: cost 46 inf + 0 102.841 * * [simplify]: Extracting #2: cost 127 inf + 1 102.841 * * [simplify]: Extracting #3: cost 168 inf + 4 102.842 * * [simplify]: Extracting #4: cost 167 inf + 379 102.843 * * [simplify]: Extracting #5: cost 130 inf + 5609 102.847 * * [simplify]: Extracting #6: cost 70 inf + 28183 102.856 * * [simplify]: Extracting #7: cost 6 inf + 71892 102.877 * * [simplify]: Extracting #8: cost 0 inf + 76311 102.897 * * [simplify]: Extracting #9: cost 0 inf + 75889 102.920 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 102.920 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 102.921 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 102.921 * * [simplify]: iters left: 6 (13 enodes) 102.928 * * [simplify]: iters left: 5 (53 enodes) 102.938 * * [simplify]: iters left: 4 (89 enodes) 102.952 * * [simplify]: iters left: 3 (146 enodes) 102.985 * * [simplify]: iters left: 2 (298 enodes) 103.146 * * [simplify]: Extracting #0: cost 1 inf + 0 103.146 * * [simplify]: Extracting #1: cost 45 inf + 0 103.147 * * [simplify]: Extracting #2: cost 125 inf + 1 103.147 * * [simplify]: Extracting #3: cost 170 inf + 3 103.148 * * [simplify]: Extracting #4: cost 162 inf + 756 103.149 * * [simplify]: Extracting #5: cost 119 inf + 6798 103.155 * * [simplify]: Extracting #6: cost 55 inf + 41462 103.165 * * [simplify]: Extracting #7: cost 2 inf + 81304 103.182 * * [simplify]: Extracting #8: cost 0 inf + 81157 103.205 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 103.205 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 103.205 * * * * [progress]: [ 169 / 315 ] simplifiying candidate # 103.205 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 103.205 * * [simplify]: iters left: 6 (18 enodes) 103.216 * * [simplify]: iters left: 5 (75 enodes) 103.237 * * [simplify]: iters left: 4 (113 enodes) 103.255 * * [simplify]: iters left: 3 (170 enodes) 103.293 * * [simplify]: iters left: 2 (279 enodes) 103.360 * * [simplify]: iters left: 1 (453 enodes) 103.528 * * [simplify]: Extracting #0: cost 1 inf + 0 103.529 * * [simplify]: Extracting #1: cost 10 inf + 0 103.529 * * [simplify]: Extracting #2: cost 18 inf + 1 103.529 * * [simplify]: Extracting #3: cost 44 inf + 1 103.530 * * [simplify]: Extracting #4: cost 108 inf + 328 103.531 * * [simplify]: Extracting #5: cost 153 inf + 1162 103.536 * * [simplify]: Extracting #6: cost 89 inf + 12166 103.548 * * [simplify]: Extracting #7: cost 26 inf + 41321 103.561 * * [simplify]: Extracting #8: cost 1 inf + 63695 103.571 * * [simplify]: Extracting #9: cost 0 inf + 64745 103.581 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) (sqrt (sqrt k))) 103.581 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) (sqrt (sqrt k))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 103.582 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 103.582 * * [simplify]: iters left: 6 (16 enodes) 103.589 * * [simplify]: iters left: 5 (65 enodes) 103.605 * * [simplify]: iters left: 4 (101 enodes) 103.620 * * [simplify]: iters left: 3 (145 enodes) 103.651 * * [simplify]: iters left: 2 (246 enodes) 103.711 * * [simplify]: iters left: 1 (410 enodes) 103.828 * * [simplify]: Extracting #0: cost 1 inf + 0 103.828 * * [simplify]: Extracting #1: cost 7 inf + 0 103.828 * * [simplify]: Extracting #2: cost 12 inf + 1 103.828 * * [simplify]: Extracting #3: cost 37 inf + 1 103.829 * * [simplify]: Extracting #4: cost 101 inf + 247 103.830 * * [simplify]: Extracting #5: cost 141 inf + 1078 103.836 * * [simplify]: Extracting #6: cost 75 inf + 18550 103.853 * * [simplify]: Extracting #7: cost 4 inf + 55542 103.873 * * [simplify]: Extracting #8: cost 0 inf + 57284 103.892 * * [simplify]: Extracting #9: cost 0 inf + 57164 103.911 * [simplify]: Simplified to (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (sqrt k))) 103.911 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 103.911 * * * * [progress]: [ 170 / 315 ] simplifiying candidate # 103.912 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 103.912 * * [simplify]: iters left: 6 (17 enodes) 103.922 * * [simplify]: iters left: 5 (70 enodes) 103.945 * * [simplify]: iters left: 4 (107 enodes) 103.962 * * [simplify]: iters left: 3 (156 enodes) 104.015 * * [simplify]: iters left: 2 (251 enodes) 104.069 * * [simplify]: iters left: 1 (410 enodes) 104.209 * * [simplify]: Extracting #0: cost 1 inf + 0 104.209 * * [simplify]: Extracting #1: cost 7 inf + 0 104.209 * * [simplify]: Extracting #2: cost 13 inf + 1 104.209 * * [simplify]: Extracting #3: cost 42 inf + 1 104.210 * * [simplify]: Extracting #4: cost 120 inf + 125 104.210 * * [simplify]: Extracting #5: cost 152 inf + 749 104.212 * * [simplify]: Extracting #6: cost 109 inf + 5095 104.215 * * [simplify]: Extracting #7: cost 66 inf + 13060 104.226 * * [simplify]: Extracting #8: cost 31 inf + 36513 104.246 * * [simplify]: Extracting #9: cost 1 inf + 62641 104.268 * * [simplify]: Extracting #10: cost 0 inf + 62101 104.289 * * [simplify]: Extracting #11: cost 0 inf + 61850 104.311 * [simplify]: Simplified to (/ (sqrt (pow (* PI (* 2 n)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 104.311 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* PI (* 2 n)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 104.312 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 104.312 * * [simplify]: iters left: 6 (16 enodes) 104.321 * * [simplify]: iters left: 5 (65 enodes) 104.341 * * [simplify]: iters left: 4 (102 enodes) 104.372 * * [simplify]: iters left: 3 (146 enodes) 104.416 * * [simplify]: iters left: 2 (248 enodes) 104.479 * * [simplify]: iters left: 1 (406 enodes) 104.616 * * [simplify]: Extracting #0: cost 1 inf + 0 104.616 * * [simplify]: Extracting #1: cost 7 inf + 0 104.616 * * [simplify]: Extracting #2: cost 13 inf + 1 104.616 * * [simplify]: Extracting #3: cost 45 inf + 1 104.617 * * [simplify]: Extracting #4: cost 120 inf + 247 104.618 * * [simplify]: Extracting #5: cost 138 inf + 1451 104.619 * * [simplify]: Extracting #6: cost 95 inf + 6921 104.624 * * [simplify]: Extracting #7: cost 31 inf + 37456 104.633 * * [simplify]: Extracting #8: cost 0 inf + 64010 104.643 * * [simplify]: Extracting #9: cost 0 inf + 63433 104.657 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (sqrt (sqrt k))) 104.657 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 104.657 * * * * [progress]: [ 171 / 315 ] simplifiying candidate # 104.658 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) 1)) 104.658 * * [simplify]: iters left: 6 (8 enodes) 104.663 * * [simplify]: iters left: 5 (28 enodes) 104.671 * * [simplify]: iters left: 4 (30 enodes) 104.678 * * [simplify]: Extracting #0: cost 1 inf + 0 104.678 * * [simplify]: Extracting #1: cost 4 inf + 0 104.678 * * [simplify]: Extracting #2: cost 5 inf + 1 104.678 * * [simplify]: Extracting #3: cost 7 inf + 1 104.678 * * [simplify]: Extracting #4: cost 3 inf + 165 104.679 * * [simplify]: Extracting #5: cost 0 inf + 490 104.679 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 104.679 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 104.679 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 104.680 * * [simplify]: iters left: 6 (15 enodes) 104.684 * * [simplify]: iters left: 5 (62 enodes) 104.697 * * [simplify]: iters left: 4 (102 enodes) 104.713 * * [simplify]: iters left: 3 (166 enodes) 104.763 * * [simplify]: iters left: 2 (338 enodes) 105.286 * * [simplify]: Extracting #0: cost 1 inf + 0 105.287 * * [simplify]: Extracting #1: cost 57 inf + 0 105.287 * * [simplify]: Extracting #2: cost 141 inf + 1 105.287 * * [simplify]: Extracting #3: cost 188 inf + 3 105.289 * * [simplify]: Extracting #4: cost 168 inf + 3656 105.291 * * [simplify]: Extracting #5: cost 119 inf + 15725 105.308 * * [simplify]: Extracting #6: cost 18 inf + 80230 105.335 * * [simplify]: Extracting #7: cost 1 inf + 93193 105.361 * * [simplify]: Extracting #8: cost 0 inf + 93558 105.391 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 105.391 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 105.391 * * * * [progress]: [ 172 / 315 ] simplifiying candidate # 105.392 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 105.392 * * [simplify]: iters left: 6 (17 enodes) 105.402 * * [simplify]: iters left: 5 (73 enodes) 105.425 * * [simplify]: iters left: 4 (117 enodes) 105.463 * * [simplify]: iters left: 3 (193 enodes) 105.531 * * [simplify]: iters left: 2 (370 enodes) 105.662 * * [simplify]: Extracting #0: cost 1 inf + 0 105.662 * * [simplify]: Extracting #1: cost 50 inf + 0 105.663 * * [simplify]: Extracting #2: cost 139 inf + 1 105.664 * * [simplify]: Extracting #3: cost 199 inf + 3 105.666 * * [simplify]: Extracting #4: cost 188 inf + 3945 105.670 * * [simplify]: Extracting #5: cost 121 inf + 20967 105.682 * * [simplify]: Extracting #6: cost 25 inf + 83209 105.699 * * [simplify]: Extracting #7: cost 0 inf + 102013 105.735 * * [simplify]: Extracting #8: cost 0 inf + 101519 105.753 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 105.753 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 105.753 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 105.753 * * [simplify]: iters left: 6 (16 enodes) 105.759 * * [simplify]: iters left: 5 (68 enodes) 105.770 * * [simplify]: iters left: 4 (115 enodes) 105.808 * * [simplify]: iters left: 3 (196 enodes) 105.877 * * [simplify]: iters left: 2 (402 enodes) 106.066 * * [simplify]: Extracting #0: cost 1 inf + 0 106.066 * * [simplify]: Extracting #1: cost 47 inf + 0 106.067 * * [simplify]: Extracting #2: cost 129 inf + 1 106.067 * * [simplify]: Extracting #3: cost 189 inf + 3 106.068 * * [simplify]: Extracting #4: cost 186 inf + 1007 106.071 * * [simplify]: Extracting #5: cost 123 inf + 17637 106.082 * * [simplify]: Extracting #6: cost 26 inf + 72325 106.109 * * [simplify]: Extracting #7: cost 0 inf + 89930 106.136 * * [simplify]: Extracting #8: cost 0 inf + 89548 106.164 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 106.164 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))))) 106.164 * * * * [progress]: [ 173 / 315 ] simplifiying candidate # 106.164 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (pow n (/ (- 1 k) 2)))) 106.164 * * [simplify]: iters left: 6 (12 enodes) 106.169 * * [simplify]: iters left: 5 (51 enodes) 106.178 * * [simplify]: iters left: 4 (82 enodes) 106.198 * * [simplify]: iters left: 3 (126 enodes) 106.240 * * [simplify]: iters left: 2 (229 enodes) 106.298 * * [simplify]: iters left: 1 (458 enodes) 106.605 * * [simplify]: Extracting #0: cost 1 inf + 0 106.605 * * [simplify]: Extracting #1: cost 36 inf + 0 106.606 * * [simplify]: Extracting #2: cost 144 inf + 3 106.607 * * [simplify]: Extracting #3: cost 196 inf + 8 106.608 * * [simplify]: Extracting #4: cost 175 inf + 2248 106.610 * * [simplify]: Extracting #5: cost 109 inf + 19868 106.621 * * [simplify]: Extracting #6: cost 15 inf + 82551 106.643 * * [simplify]: Extracting #7: cost 0 inf + 92018 106.671 * * [simplify]: Extracting #8: cost 0 inf + 90581 106.704 * * [simplify]: Extracting #9: cost 0 inf + 89947 106.730 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 106.730 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (cbrt 1) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 106.730 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 106.730 * * [simplify]: iters left: 6 (12 enodes) 106.735 * * [simplify]: iters left: 5 (50 enodes) 106.743 * * [simplify]: iters left: 4 (86 enodes) 106.760 * * [simplify]: iters left: 3 (147 enodes) 106.822 * * [simplify]: iters left: 2 (300 enodes) 106.948 * * [simplify]: Extracting #0: cost 1 inf + 0 106.948 * * [simplify]: Extracting #1: cost 41 inf + 0 106.949 * * [simplify]: Extracting #2: cost 125 inf + 1 106.949 * * [simplify]: Extracting #3: cost 163 inf + 127 106.950 * * [simplify]: Extracting #4: cost 162 inf + 425 106.951 * * [simplify]: Extracting #5: cost 132 inf + 3989 106.955 * * [simplify]: Extracting #6: cost 68 inf + 31169 106.963 * * [simplify]: Extracting #7: cost 6 inf + 73091 106.980 * * [simplify]: Extracting #8: cost 0 inf + 74351 106.992 * * [simplify]: Extracting #9: cost 0 inf + 74220 107.004 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 107.004 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 107.004 * * * * [progress]: [ 174 / 315 ] simplifiying candidate # 107.004 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 107.005 * * [simplify]: iters left: 6 (17 enodes) 107.011 * * [simplify]: iters left: 5 (72 enodes) 107.034 * * [simplify]: iters left: 4 (112 enodes) 107.068 * * [simplify]: iters left: 3 (159 enodes) 107.105 * * [simplify]: iters left: 2 (250 enodes) 107.179 * * [simplify]: iters left: 1 (418 enodes) 107.313 * * [simplify]: Extracting #0: cost 1 inf + 0 107.314 * * [simplify]: Extracting #1: cost 7 inf + 0 107.314 * * [simplify]: Extracting #2: cost 10 inf + 1 107.314 * * [simplify]: Extracting #3: cost 33 inf + 1 107.314 * * [simplify]: Extracting #4: cost 101 inf + 2 107.315 * * [simplify]: Extracting #5: cost 159 inf + 176 107.317 * * [simplify]: Extracting #6: cost 147 inf + 934 107.325 * * [simplify]: Extracting #7: cost 78 inf + 10187 107.336 * * [simplify]: Extracting #8: cost 24 inf + 39478 107.357 * * [simplify]: Extracting #9: cost 0 inf + 59020 107.374 * * [simplify]: Extracting #10: cost 0 inf + 58156 107.385 * [simplify]: Simplified to (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 107.385 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (/ (cbrt 1) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 107.385 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 107.385 * * [simplify]: iters left: 6 (15 enodes) 107.390 * * [simplify]: iters left: 5 (62 enodes) 107.410 * * [simplify]: iters left: 4 (98 enodes) 107.440 * * [simplify]: iters left: 3 (142 enodes) 107.469 * * [simplify]: iters left: 2 (243 enodes) 107.542 * * [simplify]: iters left: 1 (399 enodes) 107.695 * * [simplify]: Extracting #0: cost 1 inf + 0 107.695 * * [simplify]: Extracting #1: cost 7 inf + 0 107.695 * * [simplify]: Extracting #2: cost 12 inf + 1 107.695 * * [simplify]: Extracting #3: cost 32 inf + 166 107.695 * * [simplify]: Extracting #4: cost 99 inf + 249 107.696 * * [simplify]: Extracting #5: cost 133 inf + 1088 107.699 * * [simplify]: Extracting #6: cost 85 inf + 10118 107.705 * * [simplify]: Extracting #7: cost 23 inf + 41326 107.713 * * [simplify]: Extracting #8: cost 0 inf + 60801 107.727 * * [simplify]: Extracting #9: cost 0 inf + 60276 107.745 * * [simplify]: Extracting #10: cost 0 inf + 60066 107.763 * [simplify]: Simplified to (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt k)) 107.764 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt k)))) 107.764 * * * * [progress]: [ 175 / 315 ] simplifiying candidate # 107.764 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 107.764 * * [simplify]: iters left: 6 (16 enodes) 107.770 * * [simplify]: iters left: 5 (67 enodes) 107.783 * * [simplify]: iters left: 4 (99 enodes) 107.798 * * [simplify]: iters left: 3 (137 enodes) 107.821 * * [simplify]: iters left: 2 (226 enodes) 107.872 * * [simplify]: iters left: 1 (385 enodes) 107.992 * * [simplify]: Extracting #0: cost 1 inf + 0 107.992 * * [simplify]: Extracting #1: cost 6 inf + 0 107.992 * * [simplify]: Extracting #2: cost 37 inf + 1 107.993 * * [simplify]: Extracting #3: cost 112 inf + 2 107.994 * * [simplify]: Extracting #4: cost 146 inf + 177 107.995 * * [simplify]: Extracting #5: cost 131 inf + 1389 108.000 * * [simplify]: Extracting #6: cost 55 inf + 19281 108.008 * * [simplify]: Extracting #7: cost 12 inf + 49786 108.018 * * [simplify]: Extracting #8: cost 0 inf + 59192 108.027 * * [simplify]: Extracting #9: cost 0 inf + 58768 108.040 * [simplify]: Simplified to (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) 108.040 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (/ (cbrt 1) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 108.040 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 108.040 * * [simplify]: iters left: 6 (15 enodes) 108.045 * * [simplify]: iters left: 5 (62 enodes) 108.055 * * [simplify]: iters left: 4 (99 enodes) 108.071 * * [simplify]: iters left: 3 (146 enodes) 108.104 * * [simplify]: iters left: 2 (253 enodes) 108.150 * * [simplify]: iters left: 1 (409 enodes) 108.268 * * [simplify]: Extracting #0: cost 1 inf + 0 108.268 * * [simplify]: Extracting #1: cost 7 inf + 0 108.268 * * [simplify]: Extracting #2: cost 13 inf + 1 108.268 * * [simplify]: Extracting #3: cost 35 inf + 84 108.269 * * [simplify]: Extracting #4: cost 111 inf + 167 108.270 * * [simplify]: Extracting #5: cost 136 inf + 1459 108.275 * * [simplify]: Extracting #6: cost 83 inf + 11017 108.282 * * [simplify]: Extracting #7: cost 31 inf + 30439 108.293 * * [simplify]: Extracting #8: cost 0 inf + 55952 108.302 * * [simplify]: Extracting #9: cost 0 inf + 55390 108.312 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt k)) 108.313 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt k)))) 108.313 * * * * [progress]: [ 176 / 315 ] simplifiying candidate # 108.313 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) 1)) 108.313 * * [simplify]: iters left: 5 (6 enodes) 108.320 * * [simplify]: iters left: 4 (22 enodes) 108.328 * * [simplify]: iters left: 3 (24 enodes) 108.332 * * [simplify]: Extracting #0: cost 1 inf + 0 108.333 * * [simplify]: Extracting #1: cost 0 inf + 1 108.333 * [simplify]: Simplified to 1 108.333 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 108.333 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 108.333 * * [simplify]: iters left: 6 (14 enodes) 108.341 * * [simplify]: iters left: 5 (59 enodes) 108.351 * * [simplify]: iters left: 4 (103 enodes) 108.367 * * [simplify]: iters left: 3 (165 enodes) 108.429 * * [simplify]: iters left: 2 (314 enodes) 108.593 * * [simplify]: Extracting #0: cost 1 inf + 0 108.594 * * [simplify]: Extracting #1: cost 56 inf + 0 108.594 * * [simplify]: Extracting #2: cost 152 inf + 1 108.596 * * [simplify]: Extracting #3: cost 195 inf + 86 108.597 * * [simplify]: Extracting #4: cost 187 inf + 1215 108.601 * * [simplify]: Extracting #5: cost 137 inf + 11621 108.618 * * [simplify]: Extracting #6: cost 48 inf + 64325 108.635 * * [simplify]: Extracting #7: cost 1 inf + 98423 108.648 * * [simplify]: Extracting #8: cost 0 inf + 98696 108.673 * [simplify]: Simplified to (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k)) 108.673 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k)))) 108.674 * * * * [progress]: [ 177 / 315 ] simplifiying candidate # 108.674 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 108.674 * * [simplify]: iters left: 6 (16 enodes) 108.686 * * [simplify]: iters left: 5 (70 enodes) 108.706 * * [simplify]: iters left: 4 (112 enodes) 108.725 * * [simplify]: iters left: 3 (177 enodes) 108.791 * * [simplify]: iters left: 2 (332 enodes) 108.920 * * [simplify]: Extracting #0: cost 1 inf + 0 108.920 * * [simplify]: Extracting #1: cost 18 inf + 0 108.920 * * [simplify]: Extracting #2: cost 90 inf + 2 108.921 * * [simplify]: Extracting #3: cost 140 inf + 177 108.921 * * [simplify]: Extracting #4: cost 140 inf + 433 108.922 * * [simplify]: Extracting #5: cost 95 inf + 4783 108.926 * * [simplify]: Extracting #6: cost 42 inf + 21700 108.932 * * [simplify]: Extracting #7: cost 5 inf + 46527 108.940 * * [simplify]: Extracting #8: cost 0 inf + 49690 108.947 * * [simplify]: Extracting #9: cost 0 inf + 49650 108.955 * [simplify]: Simplified to (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) 108.955 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 108.955 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 108.955 * * [simplify]: iters left: 6 (15 enodes) 108.960 * * [simplify]: iters left: 5 (65 enodes) 108.986 * * [simplify]: iters left: 4 (109 enodes) 109.005 * * [simplify]: iters left: 3 (183 enodes) 109.051 * * [simplify]: iters left: 2 (370 enodes) 109.188 * * [simplify]: Extracting #0: cost 1 inf + 0 109.188 * * [simplify]: Extracting #1: cost 42 inf + 0 109.188 * * [simplify]: Extracting #2: cost 132 inf + 1 109.189 * * [simplify]: Extracting #3: cost 186 inf + 127 109.190 * * [simplify]: Extracting #4: cost 179 inf + 2752 109.193 * * [simplify]: Extracting #5: cost 124 inf + 11902 109.205 * * [simplify]: Extracting #6: cost 25 inf + 73950 109.218 * * [simplify]: Extracting #7: cost 1 inf + 90027 109.231 * * [simplify]: Extracting #8: cost 0 inf + 90039 109.259 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt k)) 109.259 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt k)))) 109.259 * * * * [progress]: [ 178 / 315 ] simplifiying candidate # 109.259 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) 109.260 * * [simplify]: iters left: 6 (13 enodes) 109.267 * * [simplify]: iters left: 5 (54 enodes) 109.281 * * [simplify]: iters left: 4 (90 enodes) 109.296 * * [simplify]: iters left: 3 (152 enodes) 109.342 * * [simplify]: iters left: 2 (297 enodes) 109.454 * * [simplify]: Extracting #0: cost 1 inf + 0 109.454 * * [simplify]: Extracting #1: cost 46 inf + 0 109.454 * * [simplify]: Extracting #2: cost 127 inf + 1 109.455 * * [simplify]: Extracting #3: cost 168 inf + 4 109.457 * * [simplify]: Extracting #4: cost 167 inf + 379 109.460 * * [simplify]: Extracting #5: cost 130 inf + 5609 109.465 * * [simplify]: Extracting #6: cost 70 inf + 28183 109.473 * * [simplify]: Extracting #7: cost 6 inf + 71892 109.483 * * [simplify]: Extracting #8: cost 0 inf + 76311 109.494 * * [simplify]: Extracting #9: cost 0 inf + 75889 109.508 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 109.508 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 109.508 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 109.509 * * [simplify]: iters left: 6 (13 enodes) 109.516 * * [simplify]: iters left: 5 (53 enodes) 109.533 * * [simplify]: iters left: 4 (89 enodes) 109.550 * * [simplify]: iters left: 3 (146 enodes) 109.581 * * [simplify]: iters left: 2 (298 enodes) 109.668 * * [simplify]: Extracting #0: cost 1 inf + 0 109.668 * * [simplify]: Extracting #1: cost 45 inf + 0 109.669 * * [simplify]: Extracting #2: cost 125 inf + 1 109.669 * * [simplify]: Extracting #3: cost 170 inf + 3 109.670 * * [simplify]: Extracting #4: cost 162 inf + 756 109.671 * * [simplify]: Extracting #5: cost 119 inf + 6798 109.676 * * [simplify]: Extracting #6: cost 55 inf + 41462 109.690 * * [simplify]: Extracting #7: cost 2 inf + 81304 109.701 * * [simplify]: Extracting #8: cost 0 inf + 81157 109.714 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 109.714 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 109.714 * * * * [progress]: [ 179 / 315 ] simplifiying candidate # 109.714 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 109.715 * * [simplify]: iters left: 6 (18 enodes) 109.725 * * [simplify]: iters left: 5 (75 enodes) 109.750 * * [simplify]: iters left: 4 (113 enodes) 109.786 * * [simplify]: iters left: 3 (170 enodes) 109.849 * * [simplify]: iters left: 2 (279 enodes) 109.949 * * [simplify]: iters left: 1 (453 enodes) 110.101 * * [simplify]: Extracting #0: cost 1 inf + 0 110.101 * * [simplify]: Extracting #1: cost 10 inf + 0 110.101 * * [simplify]: Extracting #2: cost 18 inf + 1 110.101 * * [simplify]: Extracting #3: cost 44 inf + 1 110.102 * * [simplify]: Extracting #4: cost 108 inf + 328 110.102 * * [simplify]: Extracting #5: cost 153 inf + 1162 110.105 * * [simplify]: Extracting #6: cost 89 inf + 12166 110.111 * * [simplify]: Extracting #7: cost 26 inf + 41321 110.121 * * [simplify]: Extracting #8: cost 1 inf + 63695 110.144 * * [simplify]: Extracting #9: cost 0 inf + 64745 110.165 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) (sqrt (sqrt k))) 110.165 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) (sqrt (sqrt k))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 110.166 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 110.166 * * [simplify]: iters left: 6 (16 enodes) 110.173 * * [simplify]: iters left: 5 (65 enodes) 110.183 * * [simplify]: iters left: 4 (101 enodes) 110.199 * * [simplify]: iters left: 3 (145 enodes) 110.245 * * [simplify]: iters left: 2 (246 enodes) 110.307 * * [simplify]: iters left: 1 (410 enodes) 110.463 * * [simplify]: Extracting #0: cost 1 inf + 0 110.463 * * [simplify]: Extracting #1: cost 7 inf + 0 110.463 * * [simplify]: Extracting #2: cost 12 inf + 1 110.463 * * [simplify]: Extracting #3: cost 37 inf + 1 110.463 * * [simplify]: Extracting #4: cost 101 inf + 247 110.464 * * [simplify]: Extracting #5: cost 141 inf + 1078 110.470 * * [simplify]: Extracting #6: cost 75 inf + 18550 110.479 * * [simplify]: Extracting #7: cost 4 inf + 55542 110.489 * * [simplify]: Extracting #8: cost 0 inf + 57284 110.508 * * [simplify]: Extracting #9: cost 0 inf + 57164 110.521 * [simplify]: Simplified to (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (sqrt k))) 110.521 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 110.522 * * * * [progress]: [ 180 / 315 ] simplifiying candidate # 110.522 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 110.522 * * [simplify]: iters left: 6 (17 enodes) 110.527 * * [simplify]: iters left: 5 (70 enodes) 110.538 * * [simplify]: iters left: 4 (107 enodes) 110.570 * * [simplify]: iters left: 3 (156 enodes) 110.614 * * [simplify]: iters left: 2 (251 enodes) 110.682 * * [simplify]: iters left: 1 (410 enodes) 110.848 * * [simplify]: Extracting #0: cost 1 inf + 0 110.848 * * [simplify]: Extracting #1: cost 7 inf + 0 110.848 * * [simplify]: Extracting #2: cost 13 inf + 1 110.849 * * [simplify]: Extracting #3: cost 42 inf + 1 110.849 * * [simplify]: Extracting #4: cost 120 inf + 125 110.851 * * [simplify]: Extracting #5: cost 152 inf + 749 110.854 * * [simplify]: Extracting #6: cost 109 inf + 5095 110.860 * * [simplify]: Extracting #7: cost 66 inf + 13060 110.872 * * [simplify]: Extracting #8: cost 31 inf + 36513 110.888 * * [simplify]: Extracting #9: cost 1 inf + 62641 110.899 * * [simplify]: Extracting #10: cost 0 inf + 62101 110.911 * * [simplify]: Extracting #11: cost 0 inf + 61850 110.929 * [simplify]: Simplified to (/ (sqrt (pow (* PI (* 2 n)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 110.929 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* PI (* 2 n)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 110.930 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 110.930 * * [simplify]: iters left: 6 (16 enodes) 110.939 * * [simplify]: iters left: 5 (65 enodes) 110.956 * * [simplify]: iters left: 4 (102 enodes) 110.972 * * [simplify]: iters left: 3 (146 enodes) 111.010 * * [simplify]: iters left: 2 (248 enodes) 111.071 * * [simplify]: iters left: 1 (406 enodes) 111.172 * * [simplify]: Extracting #0: cost 1 inf + 0 111.172 * * [simplify]: Extracting #1: cost 7 inf + 0 111.172 * * [simplify]: Extracting #2: cost 13 inf + 1 111.172 * * [simplify]: Extracting #3: cost 45 inf + 1 111.172 * * [simplify]: Extracting #4: cost 120 inf + 247 111.173 * * [simplify]: Extracting #5: cost 138 inf + 1451 111.175 * * [simplify]: Extracting #6: cost 95 inf + 6921 111.185 * * [simplify]: Extracting #7: cost 31 inf + 37456 111.207 * * [simplify]: Extracting #8: cost 0 inf + 64010 111.226 * * [simplify]: Extracting #9: cost 0 inf + 63433 111.244 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (sqrt (sqrt k))) 111.245 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 111.245 * * * * [progress]: [ 181 / 315 ] simplifiying candidate # 111.245 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) 1)) 111.245 * * [simplify]: iters left: 6 (8 enodes) 111.250 * * [simplify]: iters left: 5 (28 enodes) 111.258 * * [simplify]: iters left: 4 (30 enodes) 111.261 * * [simplify]: Extracting #0: cost 1 inf + 0 111.261 * * [simplify]: Extracting #1: cost 4 inf + 0 111.261 * * [simplify]: Extracting #2: cost 5 inf + 1 111.261 * * [simplify]: Extracting #3: cost 7 inf + 1 111.261 * * [simplify]: Extracting #4: cost 3 inf + 165 111.262 * * [simplify]: Extracting #5: cost 0 inf + 490 111.262 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 111.262 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 111.262 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 111.262 * * [simplify]: iters left: 6 (15 enodes) 111.267 * * [simplify]: iters left: 5 (62 enodes) 111.277 * * [simplify]: iters left: 4 (102 enodes) 111.307 * * [simplify]: iters left: 3 (166 enodes) 111.378 * * [simplify]: iters left: 2 (338 enodes) 111.531 * * [simplify]: Extracting #0: cost 1 inf + 0 111.532 * * [simplify]: Extracting #1: cost 57 inf + 0 111.532 * * [simplify]: Extracting #2: cost 141 inf + 1 111.534 * * [simplify]: Extracting #3: cost 188 inf + 3 111.536 * * [simplify]: Extracting #4: cost 168 inf + 3656 111.543 * * [simplify]: Extracting #5: cost 119 inf + 15725 111.553 * * [simplify]: Extracting #6: cost 18 inf + 80230 111.572 * * [simplify]: Extracting #7: cost 1 inf + 93193 111.594 * * [simplify]: Extracting #8: cost 0 inf + 93558 111.607 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 111.607 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 111.607 * * * * [progress]: [ 182 / 315 ] simplifiying candidate # 111.607 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 111.608 * * [simplify]: iters left: 6 (17 enodes) 111.613 * * [simplify]: iters left: 5 (73 enodes) 111.635 * * [simplify]: iters left: 4 (117 enodes) 111.675 * * [simplify]: iters left: 3 (193 enodes) 111.747 * * [simplify]: iters left: 2 (370 enodes) 111.859 * * [simplify]: Extracting #0: cost 1 inf + 0 111.859 * * [simplify]: Extracting #1: cost 50 inf + 0 111.859 * * [simplify]: Extracting #2: cost 139 inf + 1 111.860 * * [simplify]: Extracting #3: cost 199 inf + 3 111.861 * * [simplify]: Extracting #4: cost 188 inf + 3945 111.864 * * [simplify]: Extracting #5: cost 121 inf + 20967 111.876 * * [simplify]: Extracting #6: cost 25 inf + 83209 111.901 * * [simplify]: Extracting #7: cost 0 inf + 102013 111.917 * * [simplify]: Extracting #8: cost 0 inf + 101519 111.938 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 111.939 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 111.939 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 111.939 * * [simplify]: iters left: 6 (16 enodes) 111.949 * * [simplify]: iters left: 5 (68 enodes) 111.975 * * [simplify]: iters left: 4 (115 enodes) 112.014 * * [simplify]: iters left: 3 (196 enodes) 112.097 * * [simplify]: iters left: 2 (402 enodes) 112.256 * * [simplify]: Extracting #0: cost 1 inf + 0 112.256 * * [simplify]: Extracting #1: cost 47 inf + 0 112.256 * * [simplify]: Extracting #2: cost 129 inf + 1 112.257 * * [simplify]: Extracting #3: cost 189 inf + 3 112.258 * * [simplify]: Extracting #4: cost 186 inf + 1007 112.261 * * [simplify]: Extracting #5: cost 123 inf + 17637 112.280 * * [simplify]: Extracting #6: cost 26 inf + 72325 112.307 * * [simplify]: Extracting #7: cost 0 inf + 89930 112.338 * * [simplify]: Extracting #8: cost 0 inf + 89548 112.356 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 112.356 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))))) 112.356 * * * * [progress]: [ 183 / 315 ] simplifiying candidate # 112.356 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ 1 (pow n (/ (- 1 k) 2)))) 112.356 * * [simplify]: iters left: 6 (11 enodes) 112.360 * * [simplify]: iters left: 5 (48 enodes) 112.369 * * [simplify]: iters left: 4 (75 enodes) 112.386 * * [simplify]: iters left: 3 (120 enodes) 112.412 * * [simplify]: iters left: 2 (238 enodes) 112.479 * * [simplify]: iters left: 1 (478 enodes) 112.775 * * [simplify]: Extracting #0: cost 1 inf + 0 112.775 * * [simplify]: Extracting #1: cost 38 inf + 0 112.780 * * [simplify]: Extracting #2: cost 154 inf + 3 112.782 * * [simplify]: Extracting #3: cost 218 inf + 8 112.784 * * [simplify]: Extracting #4: cost 205 inf + 1726 112.793 * * [simplify]: Extracting #5: cost 109 inf + 35735 112.818 * * [simplify]: Extracting #6: cost 25 inf + 87923 112.842 * * [simplify]: Extracting #7: cost 0 inf + 106658 112.859 * * [simplify]: Extracting #8: cost 0 inf + 106389 112.880 * * [simplify]: Extracting #9: cost 0 inf + 106387 112.898 * [simplify]: Simplified to (pow n (* 1/2 (- 1 k))) 112.898 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (* 1/2 (- 1 k))) (/ (cbrt 1) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 112.898 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 112.898 * * [simplify]: iters left: 6 (12 enodes) 112.903 * * [simplify]: iters left: 5 (50 enodes) 112.915 * * [simplify]: iters left: 4 (86 enodes) 112.942 * * [simplify]: iters left: 3 (147 enodes) 112.974 * * [simplify]: iters left: 2 (300 enodes) 113.103 * * [simplify]: Extracting #0: cost 1 inf + 0 113.104 * * [simplify]: Extracting #1: cost 41 inf + 0 113.104 * * [simplify]: Extracting #2: cost 125 inf + 1 113.104 * * [simplify]: Extracting #3: cost 163 inf + 127 113.105 * * [simplify]: Extracting #4: cost 162 inf + 425 113.106 * * [simplify]: Extracting #5: cost 132 inf + 3989 113.110 * * [simplify]: Extracting #6: cost 68 inf + 31169 113.119 * * [simplify]: Extracting #7: cost 6 inf + 73091 113.131 * * [simplify]: Extracting #8: cost 0 inf + 74351 113.151 * * [simplify]: Extracting #9: cost 0 inf + 74220 113.164 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 113.164 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow n (* 1/2 (- 1 k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 113.164 * * * * [progress]: [ 184 / 315 ] simplifiying candidate # 113.164 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 113.164 * * [simplify]: iters left: 6 (16 enodes) 113.169 * * [simplify]: iters left: 5 (69 enodes) 113.183 * * [simplify]: iters left: 4 (102 enodes) 113.209 * * [simplify]: iters left: 3 (141 enodes) 113.233 * * [simplify]: iters left: 2 (232 enodes) 113.310 * * [simplify]: iters left: 1 (397 enodes) 113.433 * * [simplify]: Extracting #0: cost 1 inf + 0 113.434 * * [simplify]: Extracting #1: cost 7 inf + 0 113.434 * * [simplify]: Extracting #2: cost 10 inf + 1 113.434 * * [simplify]: Extracting #3: cost 32 inf + 1 113.434 * * [simplify]: Extracting #4: cost 102 inf + 2 113.435 * * [simplify]: Extracting #5: cost 147 inf + 176 113.437 * * [simplify]: Extracting #6: cost 145 inf + 435 113.440 * * [simplify]: Extracting #7: cost 90 inf + 10375 113.453 * * [simplify]: Extracting #8: cost 30 inf + 34466 113.474 * * [simplify]: Extracting #9: cost 1 inf + 56052 113.499 * * [simplify]: Extracting #10: cost 0 inf + 56466 113.521 * * [simplify]: Extracting #11: cost 0 inf + 56425 113.543 * [simplify]: Simplified to (* (cbrt (pow (* n (* 2 PI)) (* 1/2 (- 1 k)))) (cbrt (pow (* n (* 2 PI)) (* 1/2 (- 1 k))))) 113.543 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* n (* 2 PI)) (* 1/2 (- 1 k)))) (cbrt (pow (* n (* 2 PI)) (* 1/2 (- 1 k))))) (/ (cbrt 1) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 113.544 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 113.544 * * [simplify]: iters left: 6 (15 enodes) 113.553 * * [simplify]: iters left: 5 (62 enodes) 113.573 * * [simplify]: iters left: 4 (98 enodes) 113.595 * * [simplify]: iters left: 3 (142 enodes) 113.629 * * [simplify]: iters left: 2 (243 enodes) 113.712 * * [simplify]: iters left: 1 (399 enodes) 113.830 * * [simplify]: Extracting #0: cost 1 inf + 0 113.830 * * [simplify]: Extracting #1: cost 7 inf + 0 113.830 * * [simplify]: Extracting #2: cost 12 inf + 1 113.830 * * [simplify]: Extracting #3: cost 32 inf + 166 113.831 * * [simplify]: Extracting #4: cost 99 inf + 249 113.832 * * [simplify]: Extracting #5: cost 133 inf + 1088 113.837 * * [simplify]: Extracting #6: cost 85 inf + 10118 113.849 * * [simplify]: Extracting #7: cost 23 inf + 41326 113.866 * * [simplify]: Extracting #8: cost 0 inf + 60801 113.885 * * [simplify]: Extracting #9: cost 0 inf + 60276 113.903 * * [simplify]: Extracting #10: cost 0 inf + 60066 113.921 * [simplify]: Simplified to (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt k)) 113.921 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt k)))) 113.921 * * * * [progress]: [ 185 / 315 ] simplifiying candidate # 113.921 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 113.922 * * [simplify]: iters left: 6 (15 enodes) 113.931 * * [simplify]: iters left: 5 (64 enodes) 113.942 * * [simplify]: iters left: 4 (96 enodes) 113.960 * * [simplify]: iters left: 3 (137 enodes) 114.003 * * [simplify]: iters left: 2 (231 enodes) 114.056 * * [simplify]: iters left: 1 (398 enodes) 114.228 * * [simplify]: Extracting #0: cost 1 inf + 0 114.228 * * [simplify]: Extracting #1: cost 6 inf + 0 114.228 * * [simplify]: Extracting #2: cost 29 inf + 1 114.228 * * [simplify]: Extracting #3: cost 113 inf + 2 114.229 * * [simplify]: Extracting #4: cost 153 inf + 178 114.230 * * [simplify]: Extracting #5: cost 151 inf + 435 114.231 * * [simplify]: Extracting #6: cost 124 inf + 2554 114.233 * * [simplify]: Extracting #7: cost 69 inf + 13539 114.240 * * [simplify]: Extracting #8: cost 25 inf + 39197 114.250 * * [simplify]: Extracting #9: cost 0 inf + 60258 114.268 * * [simplify]: Extracting #10: cost 0 inf + 59198 114.287 * [simplify]: Simplified to (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) 114.288 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (/ (cbrt 1) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 114.288 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 114.288 * * [simplify]: iters left: 6 (15 enodes) 114.302 * * [simplify]: iters left: 5 (62 enodes) 114.321 * * [simplify]: iters left: 4 (99 enodes) 114.352 * * [simplify]: iters left: 3 (146 enodes) 114.404 * * [simplify]: iters left: 2 (253 enodes) 114.479 * * [simplify]: iters left: 1 (409 enodes) 114.585 * * [simplify]: Extracting #0: cost 1 inf + 0 114.585 * * [simplify]: Extracting #1: cost 7 inf + 0 114.585 * * [simplify]: Extracting #2: cost 13 inf + 1 114.586 * * [simplify]: Extracting #3: cost 35 inf + 84 114.586 * * [simplify]: Extracting #4: cost 111 inf + 167 114.587 * * [simplify]: Extracting #5: cost 136 inf + 1459 114.589 * * [simplify]: Extracting #6: cost 83 inf + 11017 114.594 * * [simplify]: Extracting #7: cost 31 inf + 30439 114.610 * * [simplify]: Extracting #8: cost 0 inf + 55952 114.630 * * [simplify]: Extracting #9: cost 0 inf + 55390 114.640 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt k)) 114.640 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt k)))) 114.640 * * * * [progress]: [ 186 / 315 ] simplifiying candidate # 114.640 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) 114.640 * * [simplify]: iters left: 5 (5 enodes) 114.644 * * [simplify]: iters left: 4 (17 enodes) 114.647 * * [simplify]: iters left: 3 (19 enodes) 114.649 * * [simplify]: Extracting #0: cost 1 inf + 0 114.649 * * [simplify]: Extracting #1: cost 0 inf + 1 114.649 * [simplify]: Simplified to 1 114.649 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 114.649 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 114.649 * * [simplify]: iters left: 6 (14 enodes) 114.654 * * [simplify]: iters left: 5 (59 enodes) 114.671 * * [simplify]: iters left: 4 (103 enodes) 114.694 * * [simplify]: iters left: 3 (165 enodes) 114.741 * * [simplify]: iters left: 2 (314 enodes) 114.866 * * [simplify]: Extracting #0: cost 1 inf + 0 114.866 * * [simplify]: Extracting #1: cost 56 inf + 0 114.866 * * [simplify]: Extracting #2: cost 152 inf + 1 114.867 * * [simplify]: Extracting #3: cost 195 inf + 86 114.868 * * [simplify]: Extracting #4: cost 187 inf + 1215 114.870 * * [simplify]: Extracting #5: cost 137 inf + 11621 114.877 * * [simplify]: Extracting #6: cost 48 inf + 64325 114.894 * * [simplify]: Extracting #7: cost 1 inf + 98423 114.925 * * [simplify]: Extracting #8: cost 0 inf + 98696 114.942 * [simplify]: Simplified to (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k)) 114.942 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k)))) 114.942 * * * * [progress]: [ 187 / 315 ] simplifiying candidate # 114.942 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 114.942 * * [simplify]: iters left: 6 (15 enodes) 114.947 * * [simplify]: iters left: 5 (67 enodes) 114.959 * * [simplify]: iters left: 4 (104 enodes) 114.987 * * [simplify]: iters left: 3 (160 enodes) 115.032 * * [simplify]: iters left: 2 (289 enodes) 115.134 * * [simplify]: Extracting #0: cost 1 inf + 0 115.134 * * [simplify]: Extracting #1: cost 21 inf + 0 115.137 * * [simplify]: Extracting #2: cost 94 inf + 2 115.138 * * [simplify]: Extracting #3: cost 142 inf + 259 115.140 * * [simplify]: Extracting #4: cost 142 inf + 475 115.142 * * [simplify]: Extracting #5: cost 91 inf + 7023 115.151 * * [simplify]: Extracting #6: cost 32 inf + 30224 115.166 * * [simplify]: Extracting #7: cost 0 inf + 51260 115.181 * [simplify]: Simplified to (pow (* n (* 2 PI)) (/ (- 1 k) 4)) 115.182 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 4)) (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 115.182 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 115.182 * * [simplify]: iters left: 6 (15 enodes) 115.191 * * [simplify]: iters left: 5 (65 enodes) 115.212 * * [simplify]: iters left: 4 (109 enodes) 115.240 * * [simplify]: iters left: 3 (183 enodes) 115.286 * * [simplify]: iters left: 2 (370 enodes) 115.434 * * [simplify]: Extracting #0: cost 1 inf + 0 115.434 * * [simplify]: Extracting #1: cost 42 inf + 0 115.434 * * [simplify]: Extracting #2: cost 132 inf + 1 115.436 * * [simplify]: Extracting #3: cost 186 inf + 127 115.438 * * [simplify]: Extracting #4: cost 179 inf + 2752 115.443 * * [simplify]: Extracting #5: cost 124 inf + 11902 115.464 * * [simplify]: Extracting #6: cost 25 inf + 73950 115.489 * * [simplify]: Extracting #7: cost 1 inf + 90027 115.515 * * [simplify]: Extracting #8: cost 0 inf + 90039 115.532 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt k)) 115.532 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt k)))) 115.532 * * * * [progress]: [ 188 / 315 ] simplifiying candidate # 115.533 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) 1) 115.533 * * [simplify]: iters left: 5 (4 enodes) 115.538 * * [simplify]: iters left: 4 (14 enodes) 115.539 * * [simplify]: iters left: 3 (16 enodes) 115.541 * * [simplify]: Extracting #0: cost 1 inf + 0 115.541 * * [simplify]: Extracting #1: cost 0 inf + 1 115.541 * [simplify]: Simplified to 1 115.541 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 115.541 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 115.541 * * [simplify]: iters left: 6 (14 enodes) 115.546 * * [simplify]: iters left: 5 (59 enodes) 115.559 * * [simplify]: iters left: 4 (103 enodes) 115.578 * * [simplify]: iters left: 3 (165 enodes) 115.628 * * [simplify]: iters left: 2 (314 enodes) 115.747 * * [simplify]: Extracting #0: cost 1 inf + 0 115.747 * * [simplify]: Extracting #1: cost 56 inf + 0 115.747 * * [simplify]: Extracting #2: cost 152 inf + 1 115.748 * * [simplify]: Extracting #3: cost 195 inf + 86 115.749 * * [simplify]: Extracting #4: cost 187 inf + 1215 115.751 * * [simplify]: Extracting #5: cost 137 inf + 11621 115.766 * * [simplify]: Extracting #6: cost 48 inf + 64325 115.782 * * [simplify]: Extracting #7: cost 1 inf + 98423 115.796 * * [simplify]: Extracting #8: cost 0 inf + 98696 115.811 * [simplify]: Simplified to (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k)) 115.811 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k)))) 115.811 * * * * [progress]: [ 189 / 315 ] simplifiying candidate # 115.811 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt k)) 115.812 * * [simplify]: iters left: 5 (6 enodes) 115.814 * * [simplify]: iters left: 4 (22 enodes) 115.818 * * [simplify]: iters left: 3 (24 enodes) 115.821 * * [simplify]: Extracting #0: cost 1 inf + 0 115.821 * * [simplify]: Extracting #1: cost 4 inf + 0 115.821 * * [simplify]: Extracting #2: cost 5 inf + 1 115.821 * * [simplify]: Extracting #3: cost 2 inf + 125 115.821 * * [simplify]: Extracting #4: cost 0 inf + 248 115.821 * [simplify]: Simplified to (/ 1 (sqrt k)) 115.821 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (cbrt 1) (/ 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 115.821 * [simplify]: Simplifying (/ (cbrt 1) (/ 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 115.821 * * [simplify]: iters left: 6 (13 enodes) 115.826 * * [simplify]: iters left: 5 (56 enodes) 115.835 * * [simplify]: iters left: 4 (91 enodes) 115.851 * * [simplify]: iters left: 3 (132 enodes) 115.888 * * [simplify]: iters left: 2 (220 enodes) 115.946 * * [simplify]: iters left: 1 (428 enodes) 116.182 * * [simplify]: Extracting #0: cost 1 inf + 0 116.182 * * [simplify]: Extracting #1: cost 48 inf + 0 116.183 * * [simplify]: Extracting #2: cost 182 inf + 2 116.184 * * [simplify]: Extracting #3: cost 238 inf + 176 116.185 * * [simplify]: Extracting #4: cost 229 inf + 768 116.192 * * [simplify]: Extracting #5: cost 156 inf + 18147 116.217 * * [simplify]: Extracting #6: cost 50 inf + 85831 116.246 * * [simplify]: Extracting #7: cost 0 inf + 125386 116.277 * * [simplify]: Extracting #8: cost 0 inf + 124349 116.321 * [simplify]: Simplified to (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) 116.321 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) 116.321 * * * * [progress]: [ 190 / 315 ] simplifiying candidate # 116.321 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ 1 2)))) 116.322 * * [simplify]: iters left: 6 (14 enodes) 116.331 * * [simplify]: iters left: 5 (57 enodes) 116.354 * * [simplify]: iters left: 4 (96 enodes) 116.375 * * [simplify]: iters left: 3 (168 enodes) 116.420 * * [simplify]: iters left: 2 (303 enodes) 116.535 * * [simplify]: Extracting #0: cost 1 inf + 0 116.535 * * [simplify]: Extracting #1: cost 36 inf + 0 116.535 * * [simplify]: Extracting #2: cost 105 inf + 1 116.536 * * [simplify]: Extracting #3: cost 112 inf + 132 116.536 * * [simplify]: Extracting #4: cost 106 inf + 385 116.538 * * [simplify]: Extracting #5: cost 55 inf + 21697 116.553 * * [simplify]: Extracting #6: cost 4 inf + 53549 116.566 * * [simplify]: Extracting #7: cost 0 inf + 55851 116.576 * [simplify]: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt k)) 116.576 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* PI 2) n)) (sqrt k)) (/ (cbrt 1) (pow (* n (* 2 PI)) (/ k 2))))) 116.576 * [simplify]: Simplifying (/ (cbrt 1) (pow (* n (* 2 PI)) (/ k 2))) 116.576 * * [simplify]: iters left: 6 (11 enodes) 116.579 * * [simplify]: iters left: 5 (42 enodes) 116.586 * * [simplify]: iters left: 4 (66 enodes) 116.596 * * [simplify]: iters left: 3 (101 enodes) 116.625 * * [simplify]: iters left: 2 (171 enodes) 116.660 * * [simplify]: iters left: 1 (319 enodes) 116.787 * * [simplify]: Extracting #0: cost 1 inf + 0 116.787 * * [simplify]: Extracting #1: cost 6 inf + 0 116.787 * * [simplify]: Extracting #2: cost 38 inf + 1 116.788 * * [simplify]: Extracting #3: cost 127 inf + 2 116.789 * * [simplify]: Extracting #4: cost 156 inf + 177 116.793 * * [simplify]: Extracting #5: cost 89 inf + 15817 116.802 * * [simplify]: Extracting #6: cost 12 inf + 49508 116.815 * * [simplify]: Extracting #7: cost 0 inf + 56041 116.835 * [simplify]: Simplified to (/ 1 (pow (* n (* 2 PI)) (/ k 2))) 116.835 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* PI 2) n)) (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (/ k 2))))) 116.835 * * * * [progress]: [ 191 / 315 ] simplifiying candidate # 116.836 * [simplify]: Simplifying (/ (sqrt 1) (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 116.836 * * [simplify]: iters left: 6 (16 enodes) 116.845 * * [simplify]: iters left: 5 (65 enodes) 116.866 * * [simplify]: iters left: 4 (101 enodes) 116.896 * * [simplify]: iters left: 3 (145 enodes) 116.945 * * [simplify]: iters left: 2 (237 enodes) 117.004 * * [simplify]: iters left: 1 (407 enodes) 117.186 * * [simplify]: Extracting #0: cost 1 inf + 0 117.187 * * [simplify]: Extracting #1: cost 7 inf + 0 117.187 * * [simplify]: Extracting #2: cost 11 inf + 1 117.187 * * [simplify]: Extracting #3: cost 16 inf + 1 117.187 * * [simplify]: Extracting #4: cost 45 inf + 1 117.188 * * [simplify]: Extracting #5: cost 127 inf + 85 117.189 * * [simplify]: Extracting #6: cost 160 inf + 1214 117.194 * * [simplify]: Extracting #7: cost 115 inf + 8566 117.204 * * [simplify]: Extracting #8: cost 48 inf + 36571 117.230 * * [simplify]: Extracting #9: cost 4 inf + 73462 117.247 * * [simplify]: Extracting #10: cost 0 inf + 73415 117.259 * [simplify]: Simplified to (/ 1 (* (cbrt (/ (sqrt k) (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))))) 117.259 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))))) (/ (sqrt 1) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 117.260 * [simplify]: Simplifying (/ (sqrt 1) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 117.260 * * [simplify]: iters left: 6 (15 enodes) 117.264 * * [simplify]: iters left: 5 (60 enodes) 117.276 * * [simplify]: iters left: 4 (91 enodes) 117.304 * * [simplify]: iters left: 3 (133 enodes) 117.354 * * [simplify]: iters left: 2 (225 enodes) 117.434 * * [simplify]: iters left: 1 (398 enodes) 117.604 * * [simplify]: Extracting #0: cost 1 inf + 0 117.604 * * [simplify]: Extracting #1: cost 4 inf + 0 117.604 * * [simplify]: Extracting #2: cost 5 inf + 1 117.604 * * [simplify]: Extracting #3: cost 10 inf + 1 117.605 * * [simplify]: Extracting #4: cost 43 inf + 1 117.605 * * [simplify]: Extracting #5: cost 128 inf + 85 117.607 * * [simplify]: Extracting #6: cost 175 inf + 757 117.612 * * [simplify]: Extracting #7: cost 109 inf + 16812 117.632 * * [simplify]: Extracting #8: cost 14 inf + 63749 117.661 * * [simplify]: Extracting #9: cost 0 inf + 72534 117.688 * * [simplify]: Extracting #10: cost 0 inf + 71970 117.714 * [simplify]: Simplified to (/ 1 (cbrt (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 117.714 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ 1 (cbrt (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))) 117.715 * * * * [progress]: [ 192 / 315 ] simplifiying candidate # 117.715 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 117.715 * * [simplify]: iters left: 6 (15 enodes) 117.724 * * [simplify]: iters left: 5 (60 enodes) 117.746 * * [simplify]: iters left: 4 (91 enodes) 117.774 * * [simplify]: iters left: 3 (133 enodes) 117.821 * * [simplify]: iters left: 2 (225 enodes) 117.903 * * [simplify]: iters left: 1 (398 enodes) 118.044 * * [simplify]: Extracting #0: cost 1 inf + 0 118.044 * * [simplify]: Extracting #1: cost 4 inf + 0 118.044 * * [simplify]: Extracting #2: cost 5 inf + 1 118.044 * * [simplify]: Extracting #3: cost 10 inf + 1 118.044 * * [simplify]: Extracting #4: cost 43 inf + 1 118.044 * * [simplify]: Extracting #5: cost 128 inf + 85 118.045 * * [simplify]: Extracting #6: cost 175 inf + 757 118.048 * * [simplify]: Extracting #7: cost 109 inf + 16812 118.058 * * [simplify]: Extracting #8: cost 14 inf + 63629 118.080 * * [simplify]: Extracting #9: cost 0 inf + 72374 118.096 * * [simplify]: Extracting #10: cost 0 inf + 71810 118.109 * [simplify]: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 118.109 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) (/ (sqrt 1) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 118.109 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 118.109 * * [simplify]: iters left: 6 (15 enodes) 118.115 * * [simplify]: iters left: 5 (60 enodes) 118.135 * * [simplify]: iters left: 4 (91 enodes) 118.158 * * [simplify]: iters left: 3 (133 enodes) 118.186 * * [simplify]: iters left: 2 (225 enodes) 118.264 * * [simplify]: iters left: 1 (398 enodes) 118.414 * * [simplify]: Extracting #0: cost 1 inf + 0 118.414 * * [simplify]: Extracting #1: cost 4 inf + 0 118.414 * * [simplify]: Extracting #2: cost 5 inf + 1 118.414 * * [simplify]: Extracting #3: cost 10 inf + 1 118.414 * * [simplify]: Extracting #4: cost 43 inf + 1 118.415 * * [simplify]: Extracting #5: cost 128 inf + 85 118.416 * * [simplify]: Extracting #6: cost 175 inf + 757 118.421 * * [simplify]: Extracting #7: cost 109 inf + 16812 118.441 * * [simplify]: Extracting #8: cost 14 inf + 63629 118.458 * * [simplify]: Extracting #9: cost 0 inf + 72374 118.472 * * [simplify]: Extracting #10: cost 0 inf + 71810 118.493 * [simplify]: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 118.493 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ 1 (sqrt (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))) 118.493 * * * * [progress]: [ 193 / 315 ] simplifiying candidate # 118.493 * [simplify]: Simplifying (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2)))) 118.493 * * [simplify]: iters left: 6 (13 enodes) 118.497 * * [simplify]: iters left: 5 (54 enodes) 118.507 * * [simplify]: iters left: 4 (101 enodes) 118.534 * * [simplify]: iters left: 3 (199 enodes) 118.592 * * [simplify]: iters left: 2 (484 enodes) 118.910 * * [simplify]: Extracting #0: cost 1 inf + 0 118.910 * * [simplify]: Extracting #1: cost 105 inf + 0 118.911 * * [simplify]: Extracting #2: cost 298 inf + 1 118.913 * * [simplify]: Extracting #3: cost 354 inf + 4 118.916 * * [simplify]: Extracting #4: cost 345 inf + 1593 118.921 * * [simplify]: Extracting #5: cost 302 inf + 8880 118.934 * * [simplify]: Extracting #6: cost 210 inf + 51407 118.971 * * [simplify]: Extracting #7: cost 39 inf + 171477 118.998 * * [simplify]: Extracting #8: cost 0 inf + 200528 119.055 * * [simplify]: Extracting #9: cost 0 inf + 200357 119.085 * [simplify]: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 119.085 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 119.085 * [simplify]: Simplifying (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 119.085 * * [simplify]: iters left: 6 (13 enodes) 119.089 * * [simplify]: iters left: 5 (53 enodes) 119.098 * * [simplify]: iters left: 4 (89 enodes) 119.121 * * [simplify]: iters left: 3 (146 enodes) 119.157 * * [simplify]: iters left: 2 (298 enodes) 119.290 * * [simplify]: Extracting #0: cost 1 inf + 0 119.290 * * [simplify]: Extracting #1: cost 45 inf + 0 119.291 * * [simplify]: Extracting #2: cost 125 inf + 1 119.292 * * [simplify]: Extracting #3: cost 170 inf + 3 119.293 * * [simplify]: Extracting #4: cost 162 inf + 836 119.296 * * [simplify]: Extracting #5: cost 119 inf + 7078 119.306 * * [simplify]: Extracting #6: cost 55 inf + 42982 119.329 * * [simplify]: Extracting #7: cost 2 inf + 84384 119.351 * * [simplify]: Extracting #8: cost 0 inf + 84317 119.362 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k))) 119.362 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k))))) 119.363 * * * * [progress]: [ 194 / 315 ] simplifiying candidate # 119.363 * [simplify]: Simplifying (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 119.363 * * [simplify]: iters left: 6 (18 enodes) 119.368 * * [simplify]: iters left: 5 (77 enodes) 119.381 * * [simplify]: iters left: 4 (138 enodes) 119.426 * * [simplify]: iters left: 3 (226 enodes) 119.517 * * [simplify]: iters left: 2 (400 enodes) 119.654 * * [simplify]: Extracting #0: cost 1 inf + 0 119.654 * * [simplify]: Extracting #1: cost 22 inf + 0 119.655 * * [simplify]: Extracting #2: cost 39 inf + 1 119.655 * * [simplify]: Extracting #3: cost 54 inf + 1 119.655 * * [simplify]: Extracting #4: cost 87 inf + 1417 119.656 * * [simplify]: Extracting #5: cost 105 inf + 3780 119.659 * * [simplify]: Extracting #6: cost 50 inf + 18090 119.665 * * [simplify]: Extracting #7: cost 10 inf + 34032 119.672 * * [simplify]: Extracting #8: cost 0 inf + 40549 119.679 * * [simplify]: Extracting #9: cost 0 inf + 40177 119.687 * * [simplify]: Extracting #10: cost 0 inf + 39738 119.694 * [simplify]: Simplified to (* (/ (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (sqrt k)))) 119.694 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (sqrt k)))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 119.694 * [simplify]: Simplifying (/ (sqrt 1) (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 119.694 * * [simplify]: iters left: 6 (16 enodes) 119.699 * * [simplify]: iters left: 5 (65 enodes) 119.709 * * [simplify]: iters left: 4 (101 enodes) 119.727 * * [simplify]: iters left: 3 (145 enodes) 119.780 * * [simplify]: iters left: 2 (246 enodes) 119.866 * * [simplify]: iters left: 1 (410 enodes) 120.023 * * [simplify]: Extracting #0: cost 1 inf + 0 120.023 * * [simplify]: Extracting #1: cost 7 inf + 0 120.023 * * [simplify]: Extracting #2: cost 12 inf + 1 120.023 * * [simplify]: Extracting #3: cost 37 inf + 1 120.024 * * [simplify]: Extracting #4: cost 101 inf + 327 120.024 * * [simplify]: Extracting #5: cost 141 inf + 1238 120.027 * * [simplify]: Extracting #6: cost 75 inf + 18710 120.036 * * [simplify]: Extracting #7: cost 4 inf + 55862 120.045 * * [simplify]: Extracting #8: cost 0 inf + 57604 120.055 * * [simplify]: Extracting #9: cost 0 inf + 57484 120.064 * [simplify]: Simplified to (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (cbrt (sqrt k))) 120.064 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (cbrt (sqrt k))))) 120.064 * * * * [progress]: [ 195 / 315 ] simplifiying candidate # 120.064 * [simplify]: Simplifying (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 120.065 * * [simplify]: iters left: 6 (17 enodes) 120.072 * * [simplify]: iters left: 5 (70 enodes) 120.084 * * [simplify]: iters left: 4 (115 enodes) 120.121 * * [simplify]: iters left: 3 (181 enodes) 120.183 * * [simplify]: iters left: 2 (314 enodes) 120.258 * * [simplify]: Extracting #0: cost 1 inf + 0 120.258 * * [simplify]: Extracting #1: cost 17 inf + 0 120.258 * * [simplify]: Extracting #2: cost 28 inf + 1 120.258 * * [simplify]: Extracting #3: cost 46 inf + 1 120.259 * * [simplify]: Extracting #4: cost 87 inf + 1741 120.261 * * [simplify]: Extracting #5: cost 95 inf + 3507 120.265 * * [simplify]: Extracting #6: cost 44 inf + 12888 120.274 * * [simplify]: Extracting #7: cost 6 inf + 28476 120.287 * * [simplify]: Extracting #8: cost 1 inf + 31920 120.298 * * [simplify]: Extracting #9: cost 0 inf + 32747 120.309 * [simplify]: Simplified to (/ (sqrt (pow (* PI (* 2 n)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 120.309 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* PI (* 2 n)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 120.309 * [simplify]: Simplifying (/ (sqrt 1) (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 120.310 * * [simplify]: iters left: 6 (16 enodes) 120.318 * * [simplify]: iters left: 5 (65 enodes) 120.337 * * [simplify]: iters left: 4 (102 enodes) 120.353 * * [simplify]: iters left: 3 (146 enodes) 120.381 * * [simplify]: iters left: 2 (248 enodes) 120.432 * * [simplify]: iters left: 1 (406 enodes) 120.538 * * [simplify]: Extracting #0: cost 1 inf + 0 120.538 * * [simplify]: Extracting #1: cost 7 inf + 0 120.538 * * [simplify]: Extracting #2: cost 13 inf + 1 120.538 * * [simplify]: Extracting #3: cost 45 inf + 1 120.539 * * [simplify]: Extracting #4: cost 120 inf + 327 120.539 * * [simplify]: Extracting #5: cost 138 inf + 1611 120.541 * * [simplify]: Extracting #6: cost 95 inf + 7081 120.549 * * [simplify]: Extracting #7: cost 31 inf + 37776 120.559 * * [simplify]: Extracting #8: cost 0 inf + 64330 120.568 * * [simplify]: Extracting #9: cost 0 inf + 63753 120.579 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (cbrt (sqrt k))) 120.579 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (cbrt (sqrt k))))) 120.579 * * * * [progress]: [ 196 / 315 ] simplifiying candidate # 120.580 * [simplify]: Simplifying (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 120.580 * * [simplify]: iters left: 6 (8 enodes) 120.585 * * [simplify]: iters left: 5 (28 enodes) 120.594 * * [simplify]: iters left: 4 (52 enodes) 120.610 * * [simplify]: iters left: 3 (74 enodes) 120.632 * * [simplify]: iters left: 2 (77 enodes) 120.644 * * [simplify]: Extracting #0: cost 1 inf + 0 120.644 * * [simplify]: Extracting #1: cost 6 inf + 0 120.644 * * [simplify]: Extracting #2: cost 9 inf + 1 120.644 * * [simplify]: Extracting #3: cost 11 inf + 1 120.645 * * [simplify]: Extracting #4: cost 1 inf + 1214 120.645 * * [simplify]: Extracting #5: cost 0 inf + 1376 120.646 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 120.646 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 120.646 * [simplify]: Simplifying (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 120.646 * * [simplify]: iters left: 6 (15 enodes) 120.656 * * [simplify]: iters left: 5 (62 enodes) 120.678 * * [simplify]: iters left: 4 (102 enodes) 120.711 * * [simplify]: iters left: 3 (166 enodes) 120.779 * * [simplify]: iters left: 2 (338 enodes) 120.962 * * [simplify]: Extracting #0: cost 1 inf + 0 120.963 * * [simplify]: Extracting #1: cost 57 inf + 0 120.963 * * [simplify]: Extracting #2: cost 141 inf + 1 120.965 * * [simplify]: Extracting #3: cost 188 inf + 3 120.967 * * [simplify]: Extracting #4: cost 168 inf + 3856 120.972 * * [simplify]: Extracting #5: cost 119 inf + 16285 120.982 * * [simplify]: Extracting #6: cost 18 inf + 82990 120.995 * * [simplify]: Extracting #7: cost 1 inf + 96593 121.015 * * [simplify]: Extracting #8: cost 0 inf + 96998 121.042 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt k))) 121.042 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt k))))) 121.042 * * * * [progress]: [ 197 / 315 ] simplifiying candidate # 121.043 * [simplify]: Simplifying (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 121.043 * * [simplify]: iters left: 6 (17 enodes) 121.048 * * [simplify]: iters left: 5 (73 enodes) 121.060 * * [simplify]: iters left: 4 (128 enodes) 121.096 * * [simplify]: iters left: 3 (244 enodes) 121.183 * * [simplify]: Extracting #0: cost 1 inf + 0 121.183 * * [simplify]: Extracting #1: cost 42 inf + 0 121.183 * * [simplify]: Extracting #2: cost 115 inf + 1 121.184 * * [simplify]: Extracting #3: cost 155 inf + 2 121.185 * * [simplify]: Extracting #4: cost 151 inf + 1268 121.187 * * [simplify]: Extracting #5: cost 91 inf + 14403 121.193 * * [simplify]: Extracting #6: cost 34 inf + 40731 121.205 * * [simplify]: Extracting #7: cost 1 inf + 64975 121.222 * * [simplify]: Extracting #8: cost 0 inf + 66095 121.231 * [simplify]: Simplified to (/ (pow (* PI (* 2 n)) (/ (- 1 k) 4)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 121.232 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* PI (* 2 n)) (/ (- 1 k) 4)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 121.234 * [simplify]: Simplifying (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 121.234 * * [simplify]: iters left: 6 (16 enodes) 121.239 * * [simplify]: iters left: 5 (68 enodes) 121.253 * * [simplify]: iters left: 4 (115 enodes) 121.291 * * [simplify]: iters left: 3 (196 enodes) 121.368 * * [simplify]: iters left: 2 (402 enodes) 121.488 * * [simplify]: Extracting #0: cost 1 inf + 0 121.488 * * [simplify]: Extracting #1: cost 47 inf + 0 121.489 * * [simplify]: Extracting #2: cost 129 inf + 1 121.490 * * [simplify]: Extracting #3: cost 189 inf + 3 121.492 * * [simplify]: Extracting #4: cost 186 inf + 1047 121.497 * * [simplify]: Extracting #5: cost 123 inf + 18077 121.517 * * [simplify]: Extracting #6: cost 26 inf + 74485 121.538 * * [simplify]: Extracting #7: cost 0 inf + 93010 121.552 * * [simplify]: Extracting #8: cost 0 inf + 92628 121.573 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (cbrt (sqrt k))) 121.573 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (cbrt (sqrt k))))) 121.573 * * * * [progress]: [ 198 / 315 ] simplifiying candidate # 121.573 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (pow n (/ (- 1 k) 2)))) 121.574 * * [simplify]: iters left: 6 (13 enodes) 121.578 * * [simplify]: iters left: 5 (53 enodes) 121.587 * * [simplify]: iters left: 4 (89 enodes) 121.602 * * [simplify]: iters left: 3 (146 enodes) 121.666 * * [simplify]: iters left: 2 (298 enodes) 121.796 * * [simplify]: Extracting #0: cost 1 inf + 0 121.796 * * [simplify]: Extracting #1: cost 45 inf + 0 121.796 * * [simplify]: Extracting #2: cost 128 inf + 1 121.797 * * [simplify]: Extracting #3: cost 173 inf + 4 121.798 * * [simplify]: Extracting #4: cost 166 inf + 1034 121.800 * * [simplify]: Extracting #5: cost 120 inf + 8370 121.805 * * [simplify]: Extracting #6: cost 41 inf + 53729 121.823 * * [simplify]: Extracting #7: cost 0 inf + 82109 121.847 * * [simplify]: Extracting #8: cost 0 inf + 80336 121.857 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) 121.858 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 121.858 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 121.858 * * [simplify]: iters left: 6 (13 enodes) 121.862 * * [simplify]: iters left: 5 (53 enodes) 121.871 * * [simplify]: iters left: 4 (89 enodes) 121.887 * * [simplify]: iters left: 3 (146 enodes) 121.930 * * [simplify]: iters left: 2 (298 enodes) 122.056 * * [simplify]: Extracting #0: cost 1 inf + 0 122.057 * * [simplify]: Extracting #1: cost 45 inf + 0 122.057 * * [simplify]: Extracting #2: cost 125 inf + 1 122.057 * * [simplify]: Extracting #3: cost 170 inf + 3 122.058 * * [simplify]: Extracting #4: cost 162 inf + 876 122.060 * * [simplify]: Extracting #5: cost 119 inf + 7158 122.065 * * [simplify]: Extracting #6: cost 55 inf + 43062 122.084 * * [simplify]: Extracting #7: cost 2 inf + 84464 122.107 * * [simplify]: Extracting #8: cost 0 inf + 84397 122.129 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k))) 122.129 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 122.129 * * * * [progress]: [ 199 / 315 ] simplifiying candidate # 122.130 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 122.130 * * [simplify]: iters left: 6 (18 enodes) 122.138 * * [simplify]: iters left: 5 (74 enodes) 122.150 * * [simplify]: iters left: 4 (116 enodes) 122.180 * * [simplify]: iters left: 3 (175 enodes) 122.232 * * [simplify]: iters left: 2 (285 enodes) 122.319 * * [simplify]: iters left: 1 (474 enodes) 122.494 * * [simplify]: Extracting #0: cost 1 inf + 0 122.494 * * [simplify]: Extracting #1: cost 10 inf + 0 122.494 * * [simplify]: Extracting #2: cost 19 inf + 1 122.494 * * [simplify]: Extracting #3: cost 47 inf + 1 122.495 * * [simplify]: Extracting #4: cost 118 inf + 528 122.495 * * [simplify]: Extracting #5: cost 158 inf + 1521 122.498 * * [simplify]: Extracting #6: cost 93 inf + 12479 122.511 * * [simplify]: Extracting #7: cost 20 inf + 48133 122.527 * * [simplify]: Extracting #8: cost 0 inf + 64623 122.538 * * [simplify]: Extracting #9: cost 0 inf + 64542 122.549 * [simplify]: Simplified to (/ (* (cbrt (pow (* PI (* 2 n)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* 2 n)) (/ (- 1 k) 2)))) (fabs (cbrt k))) 122.549 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* PI (* 2 n)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* 2 n)) (/ (- 1 k) 2)))) (fabs (cbrt k))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 122.549 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 122.549 * * [simplify]: iters left: 6 (16 enodes) 122.556 * * [simplify]: iters left: 5 (65 enodes) 122.580 * * [simplify]: iters left: 4 (101 enodes) 122.611 * * [simplify]: iters left: 3 (145 enodes) 122.640 * * [simplify]: iters left: 2 (246 enodes) 122.706 * * [simplify]: iters left: 1 (410 enodes) 122.859 * * [simplify]: Extracting #0: cost 1 inf + 0 122.859 * * [simplify]: Extracting #1: cost 7 inf + 0 122.859 * * [simplify]: Extracting #2: cost 12 inf + 1 122.860 * * [simplify]: Extracting #3: cost 37 inf + 1 122.860 * * [simplify]: Extracting #4: cost 101 inf + 407 122.862 * * [simplify]: Extracting #5: cost 141 inf + 1318 122.867 * * [simplify]: Extracting #6: cost 75 inf + 18790 122.876 * * [simplify]: Extracting #7: cost 4 inf + 55942 122.889 * * [simplify]: Extracting #8: cost 0 inf + 57684 122.898 * * [simplify]: Extracting #9: cost 0 inf + 57564 122.915 * [simplify]: Simplified to (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (cbrt k))) 122.916 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (cbrt k))))) 122.916 * * * * [progress]: [ 200 / 315 ] simplifiying candidate # 122.916 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 122.916 * * [simplify]: iters left: 6 (17 enodes) 122.926 * * [simplify]: iters left: 5 (69 enodes) 122.948 * * [simplify]: iters left: 4 (106 enodes) 122.977 * * [simplify]: iters left: 3 (154 enodes) 123.010 * * [simplify]: iters left: 2 (258 enodes) 123.073 * * [simplify]: iters left: 1 (419 enodes) 123.221 * * [simplify]: Extracting #0: cost 1 inf + 0 123.221 * * [simplify]: Extracting #1: cost 7 inf + 0 123.221 * * [simplify]: Extracting #2: cost 14 inf + 1 123.221 * * [simplify]: Extracting #3: cost 42 inf + 1 123.221 * * [simplify]: Extracting #4: cost 111 inf + 407 123.222 * * [simplify]: Extracting #5: cost 157 inf + 1480 123.224 * * [simplify]: Extracting #6: cost 97 inf + 8568 123.230 * * [simplify]: Extracting #7: cost 22 inf + 44733 123.240 * * [simplify]: Extracting #8: cost 0 inf + 59069 123.250 * * [simplify]: Extracting #9: cost 0 inf + 57542 123.270 * * [simplify]: Extracting #10: cost 0 inf + 57117 123.290 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (fabs (cbrt k))) 123.291 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (fabs (cbrt k))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 123.291 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 123.291 * * [simplify]: iters left: 6 (16 enodes) 123.304 * * [simplify]: iters left: 5 (65 enodes) 123.324 * * [simplify]: iters left: 4 (102 enodes) 123.355 * * [simplify]: iters left: 3 (146 enodes) 123.406 * * [simplify]: iters left: 2 (248 enodes) 123.479 * * [simplify]: iters left: 1 (406 enodes) 123.637 * * [simplify]: Extracting #0: cost 1 inf + 0 123.637 * * [simplify]: Extracting #1: cost 7 inf + 0 123.637 * * [simplify]: Extracting #2: cost 13 inf + 1 123.637 * * [simplify]: Extracting #3: cost 45 inf + 1 123.638 * * [simplify]: Extracting #4: cost 120 inf + 407 123.639 * * [simplify]: Extracting #5: cost 138 inf + 1691 123.643 * * [simplify]: Extracting #6: cost 95 inf + 7161 123.650 * * [simplify]: Extracting #7: cost 31 inf + 37856 123.659 * * [simplify]: Extracting #8: cost 0 inf + 64410 123.671 * * [simplify]: Extracting #9: cost 0 inf + 63833 123.681 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (sqrt (cbrt k))) 123.681 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (sqrt (cbrt k))))) 123.681 * * * * [progress]: [ 201 / 315 ] simplifiying candidate # 123.681 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) 1)) 123.681 * * [simplify]: iters left: 6 (8 enodes) 123.684 * * [simplify]: iters left: 5 (26 enodes) 123.688 * * [simplify]: iters left: 4 (32 enodes) 123.692 * * [simplify]: Extracting #0: cost 1 inf + 0 123.692 * * [simplify]: Extracting #1: cost 4 inf + 0 123.693 * * [simplify]: Extracting #2: cost 6 inf + 1 123.693 * * [simplify]: Extracting #3: cost 9 inf + 1 123.693 * * [simplify]: Extracting #4: cost 4 inf + 487 123.693 * * [simplify]: Extracting #5: cost 0 inf + 972 123.693 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 123.693 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 123.693 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 123.693 * * [simplify]: iters left: 6 (15 enodes) 123.698 * * [simplify]: iters left: 5 (62 enodes) 123.708 * * [simplify]: iters left: 4 (102 enodes) 123.726 * * [simplify]: iters left: 3 (166 enodes) 123.779 * * [simplify]: iters left: 2 (338 enodes) 123.898 * * [simplify]: Extracting #0: cost 1 inf + 0 123.898 * * [simplify]: Extracting #1: cost 57 inf + 0 123.899 * * [simplify]: Extracting #2: cost 141 inf + 1 123.899 * * [simplify]: Extracting #3: cost 188 inf + 3 123.902 * * [simplify]: Extracting #4: cost 168 inf + 3936 123.908 * * [simplify]: Extracting #5: cost 119 inf + 16365 123.928 * * [simplify]: Extracting #6: cost 18 inf + 83070 123.944 * * [simplify]: Extracting #7: cost 1 inf + 96673 123.957 * * [simplify]: Extracting #8: cost 0 inf + 97078 123.979 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt k))) 123.979 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 123.979 * * * * [progress]: [ 202 / 315 ] simplifiying candidate # 123.979 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 123.979 * * [simplify]: iters left: 6 (17 enodes) 123.989 * * [simplify]: iters left: 5 (72 enodes) 124.010 * * [simplify]: iters left: 4 (116 enodes) 124.043 * * [simplify]: iters left: 3 (191 enodes) 124.102 * * [simplify]: iters left: 2 (380 enodes) 124.298 * * [simplify]: Extracting #0: cost 1 inf + 0 124.298 * * [simplify]: Extracting #1: cost 43 inf + 0 124.299 * * [simplify]: Extracting #2: cost 127 inf + 1 124.300 * * [simplify]: Extracting #3: cost 190 inf + 3 124.303 * * [simplify]: Extracting #4: cost 178 inf + 2475 124.307 * * [simplify]: Extracting #5: cost 125 inf + 11606 124.318 * * [simplify]: Extracting #6: cost 52 inf + 53264 124.331 * * [simplify]: Extracting #7: cost 5 inf + 88513 124.347 * * [simplify]: Extracting #8: cost 0 inf + 92871 124.374 * [simplify]: Simplified to (/ (pow (* 2 (* n PI)) (/ (- 1 k) 4)) (fabs (cbrt k))) 124.374 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* 2 (* n PI)) (/ (- 1 k) 4)) (fabs (cbrt k))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 124.375 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 124.375 * * [simplify]: iters left: 6 (16 enodes) 124.384 * * [simplify]: iters left: 5 (68 enodes) 124.407 * * [simplify]: iters left: 4 (115 enodes) 124.450 * * [simplify]: iters left: 3 (196 enodes) 124.501 * * [simplify]: iters left: 2 (402 enodes) 124.644 * * [simplify]: Extracting #0: cost 1 inf + 0 124.644 * * [simplify]: Extracting #1: cost 47 inf + 0 124.645 * * [simplify]: Extracting #2: cost 129 inf + 1 124.646 * * [simplify]: Extracting #3: cost 189 inf + 3 124.648 * * [simplify]: Extracting #4: cost 186 inf + 1127 124.653 * * [simplify]: Extracting #5: cost 123 inf + 18157 124.672 * * [simplify]: Extracting #6: cost 26 inf + 74565 124.699 * * [simplify]: Extracting #7: cost 0 inf + 93090 124.729 * * [simplify]: Extracting #8: cost 0 inf + 92708 124.756 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (cbrt k))) 124.756 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (cbrt k))))) 124.756 * * * * [progress]: [ 203 / 315 ] simplifiying candidate # 124.756 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) 124.757 * * [simplify]: iters left: 6 (12 enodes) 124.765 * * [simplify]: iters left: 5 (49 enodes) 124.782 * * [simplify]: iters left: 4 (85 enodes) 124.811 * * [simplify]: iters left: 3 (146 enodes) 124.875 * * [simplify]: iters left: 2 (306 enodes) 124.998 * * [simplify]: Extracting #0: cost 1 inf + 0 124.998 * * [simplify]: Extracting #1: cost 45 inf + 0 124.998 * * [simplify]: Extracting #2: cost 138 inf + 1 124.999 * * [simplify]: Extracting #3: cost 181 inf + 4 125.000 * * [simplify]: Extracting #4: cost 166 inf + 3294 125.003 * * [simplify]: Extracting #5: cost 98 inf + 22839 125.011 * * [simplify]: Extracting #6: cost 15 inf + 72079 125.032 * * [simplify]: Extracting #7: cost 0 inf + 81271 125.047 * * [simplify]: Extracting #8: cost 0 inf + 81007 125.060 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 125.060 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 125.061 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 125.061 * * [simplify]: iters left: 6 (13 enodes) 125.065 * * [simplify]: iters left: 5 (53 enodes) 125.075 * * [simplify]: iters left: 4 (89 enodes) 125.104 * * [simplify]: iters left: 3 (146 enodes) 125.165 * * [simplify]: iters left: 2 (298 enodes) 125.266 * * [simplify]: Extracting #0: cost 1 inf + 0 125.266 * * [simplify]: Extracting #1: cost 45 inf + 0 125.266 * * [simplify]: Extracting #2: cost 125 inf + 1 125.267 * * [simplify]: Extracting #3: cost 170 inf + 3 125.268 * * [simplify]: Extracting #4: cost 162 inf + 756 125.269 * * [simplify]: Extracting #5: cost 119 inf + 6798 125.274 * * [simplify]: Extracting #6: cost 55 inf + 41462 125.285 * * [simplify]: Extracting #7: cost 2 inf + 81304 125.306 * * [simplify]: Extracting #8: cost 0 inf + 81157 125.328 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 125.328 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 125.329 * * * * [progress]: [ 204 / 315 ] simplifiying candidate # 125.329 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 125.329 * * [simplify]: iters left: 6 (17 enodes) 125.339 * * [simplify]: iters left: 5 (70 enodes) 125.367 * * [simplify]: iters left: 4 (112 enodes) 125.399 * * [simplify]: iters left: 3 (170 enodes) 125.429 * * [simplify]: iters left: 2 (280 enodes) 125.499 * * [simplify]: iters left: 1 (458 enodes) 125.665 * * [simplify]: Extracting #0: cost 1 inf + 0 125.665 * * [simplify]: Extracting #1: cost 10 inf + 0 125.665 * * [simplify]: Extracting #2: cost 18 inf + 1 125.666 * * [simplify]: Extracting #3: cost 44 inf + 1 125.666 * * [simplify]: Extracting #4: cost 112 inf + 369 125.668 * * [simplify]: Extracting #5: cost 162 inf + 873 125.672 * * [simplify]: Extracting #6: cost 105 inf + 10420 125.678 * * [simplify]: Extracting #7: cost 33 inf + 38914 125.689 * * [simplify]: Extracting #8: cost 0 inf + 68170 125.700 * * [simplify]: Extracting #9: cost 0 inf + 66888 125.721 * * [simplify]: Extracting #10: cost 0 inf + 65228 125.745 * * [simplify]: Extracting #11: cost 0 inf + 64864 125.769 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k))))) (sqrt (sqrt k))) 125.769 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k))))) (sqrt (sqrt k))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 125.769 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 125.769 * * [simplify]: iters left: 6 (16 enodes) 125.782 * * [simplify]: iters left: 5 (65 enodes) 125.802 * * [simplify]: iters left: 4 (101 enodes) 125.830 * * [simplify]: iters left: 3 (145 enodes) 125.856 * * [simplify]: iters left: 2 (246 enodes) 125.915 * * [simplify]: iters left: 1 (410 enodes) 126.018 * * [simplify]: Extracting #0: cost 1 inf + 0 126.018 * * [simplify]: Extracting #1: cost 7 inf + 0 126.019 * * [simplify]: Extracting #2: cost 12 inf + 1 126.019 * * [simplify]: Extracting #3: cost 37 inf + 1 126.019 * * [simplify]: Extracting #4: cost 101 inf + 247 126.020 * * [simplify]: Extracting #5: cost 141 inf + 1078 126.023 * * [simplify]: Extracting #6: cost 75 inf + 18550 126.035 * * [simplify]: Extracting #7: cost 4 inf + 55542 126.059 * * [simplify]: Extracting #8: cost 0 inf + 57284 126.078 * * [simplify]: Extracting #9: cost 0 inf + 57164 126.097 * [simplify]: Simplified to (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (sqrt k))) 126.097 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 126.097 * * * * [progress]: [ 205 / 315 ] simplifiying candidate # 126.097 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 126.097 * * [simplify]: iters left: 6 (16 enodes) 126.106 * * [simplify]: iters left: 5 (65 enodes) 126.127 * * [simplify]: iters left: 4 (102 enodes) 126.158 * * [simplify]: iters left: 3 (146 enodes) 126.211 * * [simplify]: iters left: 2 (248 enodes) 126.267 * * [simplify]: iters left: 1 (406 enodes) 126.438 * * [simplify]: Extracting #0: cost 1 inf + 0 126.438 * * [simplify]: Extracting #1: cost 7 inf + 0 126.438 * * [simplify]: Extracting #2: cost 13 inf + 1 126.438 * * [simplify]: Extracting #3: cost 45 inf + 1 126.439 * * [simplify]: Extracting #4: cost 120 inf + 247 126.441 * * [simplify]: Extracting #5: cost 138 inf + 1451 126.445 * * [simplify]: Extracting #6: cost 95 inf + 6921 126.454 * * [simplify]: Extracting #7: cost 31 inf + 37456 126.472 * * [simplify]: Extracting #8: cost 0 inf + 64010 126.489 * * [simplify]: Extracting #9: cost 0 inf + 63433 126.499 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (sqrt (sqrt k))) 126.499 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 126.499 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 126.499 * * [simplify]: iters left: 6 (16 enodes) 126.504 * * [simplify]: iters left: 5 (65 enodes) 126.514 * * [simplify]: iters left: 4 (102 enodes) 126.544 * * [simplify]: iters left: 3 (146 enodes) 126.598 * * [simplify]: iters left: 2 (248 enodes) 126.654 * * [simplify]: iters left: 1 (406 enodes) 126.816 * * [simplify]: Extracting #0: cost 1 inf + 0 126.816 * * [simplify]: Extracting #1: cost 7 inf + 0 126.816 * * [simplify]: Extracting #2: cost 13 inf + 1 126.816 * * [simplify]: Extracting #3: cost 45 inf + 1 126.817 * * [simplify]: Extracting #4: cost 120 inf + 247 126.818 * * [simplify]: Extracting #5: cost 138 inf + 1451 126.819 * * [simplify]: Extracting #6: cost 95 inf + 6921 126.824 * * [simplify]: Extracting #7: cost 31 inf + 37456 126.835 * * [simplify]: Extracting #8: cost 0 inf + 64010 126.854 * * [simplify]: Extracting #9: cost 0 inf + 63433 126.868 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (sqrt (sqrt k))) 126.868 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 126.868 * * * * [progress]: [ 206 / 315 ] simplifiying candidate # 126.869 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) 1)) 126.869 * * [simplify]: iters left: 6 (7 enodes) 126.872 * * [simplify]: iters left: 5 (23 enodes) 126.876 * * [simplify]: iters left: 4 (27 enodes) 126.879 * * [simplify]: Extracting #0: cost 1 inf + 0 126.879 * * [simplify]: Extracting #1: cost 4 inf + 0 126.879 * * [simplify]: Extracting #2: cost 5 inf + 1 126.879 * * [simplify]: Extracting #3: cost 7 inf + 1 126.880 * * [simplify]: Extracting #4: cost 2 inf + 287 126.880 * * [simplify]: Extracting #5: cost 0 inf + 490 126.880 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 126.880 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 126.880 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 126.880 * * [simplify]: iters left: 6 (15 enodes) 126.885 * * [simplify]: iters left: 5 (62 enodes) 126.900 * * [simplify]: iters left: 4 (102 enodes) 126.917 * * [simplify]: iters left: 3 (166 enodes) 126.977 * * [simplify]: iters left: 2 (338 enodes) 127.106 * * [simplify]: Extracting #0: cost 1 inf + 0 127.107 * * [simplify]: Extracting #1: cost 57 inf + 0 127.107 * * [simplify]: Extracting #2: cost 141 inf + 1 127.108 * * [simplify]: Extracting #3: cost 188 inf + 3 127.109 * * [simplify]: Extracting #4: cost 168 inf + 3656 127.112 * * [simplify]: Extracting #5: cost 119 inf + 15725 127.122 * * [simplify]: Extracting #6: cost 18 inf + 80230 127.135 * * [simplify]: Extracting #7: cost 1 inf + 93193 127.148 * * [simplify]: Extracting #8: cost 0 inf + 93558 127.164 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 127.164 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 127.164 * * * * [progress]: [ 207 / 315 ] simplifiying candidate # 127.165 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 127.165 * * [simplify]: iters left: 6 (16 enodes) 127.175 * * [simplify]: iters left: 5 (68 enodes) 127.195 * * [simplify]: iters left: 4 (115 enodes) 127.214 * * [simplify]: iters left: 3 (196 enodes) 127.288 * * [simplify]: iters left: 2 (402 enodes) 127.463 * * [simplify]: Extracting #0: cost 1 inf + 0 127.463 * * [simplify]: Extracting #1: cost 47 inf + 0 127.464 * * [simplify]: Extracting #2: cost 129 inf + 1 127.465 * * [simplify]: Extracting #3: cost 189 inf + 3 127.467 * * [simplify]: Extracting #4: cost 186 inf + 1007 127.472 * * [simplify]: Extracting #5: cost 123 inf + 17637 127.484 * * [simplify]: Extracting #6: cost 26 inf + 72325 127.498 * * [simplify]: Extracting #7: cost 0 inf + 89930 127.512 * * [simplify]: Extracting #8: cost 0 inf + 89548 127.525 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 127.525 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 127.526 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 127.526 * * [simplify]: iters left: 6 (16 enodes) 127.531 * * [simplify]: iters left: 5 (68 enodes) 127.542 * * [simplify]: iters left: 4 (115 enodes) 127.567 * * [simplify]: iters left: 3 (196 enodes) 127.648 * * [simplify]: iters left: 2 (402 enodes) 127.830 * * [simplify]: Extracting #0: cost 1 inf + 0 127.830 * * [simplify]: Extracting #1: cost 47 inf + 0 127.831 * * [simplify]: Extracting #2: cost 129 inf + 1 127.832 * * [simplify]: Extracting #3: cost 189 inf + 3 127.834 * * [simplify]: Extracting #4: cost 186 inf + 1007 127.839 * * [simplify]: Extracting #5: cost 123 inf + 17637 127.859 * * [simplify]: Extracting #6: cost 26 inf + 72325 127.885 * * [simplify]: Extracting #7: cost 0 inf + 89930 127.912 * * [simplify]: Extracting #8: cost 0 inf + 89548 127.944 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 127.944 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))))) 127.944 * * * * [progress]: [ 208 / 315 ] simplifiying candidate # 127.945 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt 1) (pow n (/ (- 1 k) 2)))) 127.945 * * [simplify]: iters left: 6 (10 enodes) 127.951 * * [simplify]: iters left: 5 (43 enodes) 127.965 * * [simplify]: iters left: 4 (66 enodes) 127.986 * * [simplify]: iters left: 3 (104 enodes) 128.025 * * [simplify]: iters left: 2 (210 enodes) 128.112 * * [simplify]: iters left: 1 (428 enodes) 128.372 * * [simplify]: Extracting #0: cost 1 inf + 0 128.372 * * [simplify]: Extracting #1: cost 49 inf + 0 128.373 * * [simplify]: Extracting #2: cost 176 inf + 3 128.374 * * [simplify]: Extracting #3: cost 227 inf + 8 128.375 * * [simplify]: Extracting #4: cost 204 inf + 5591 128.383 * * [simplify]: Extracting #5: cost 79 inf + 56002 128.420 * * [simplify]: Extracting #6: cost 1 inf + 107838 128.463 * * [simplify]: Extracting #7: cost 0 inf + 105864 128.508 * * [simplify]: Extracting #8: cost 0 inf + 105669 128.553 * [simplify]: Simplified to (pow n (- 1/2 (/ k 2))) 128.554 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (sqrt 1) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 128.554 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 128.554 * * [simplify]: iters left: 6 (12 enodes) 128.563 * * [simplify]: iters left: 5 (50 enodes) 128.580 * * [simplify]: iters left: 4 (86 enodes) 128.609 * * [simplify]: iters left: 3 (147 enodes) 128.662 * * [simplify]: iters left: 2 (300 enodes) 128.763 * * [simplify]: Extracting #0: cost 1 inf + 0 128.763 * * [simplify]: Extracting #1: cost 41 inf + 0 128.763 * * [simplify]: Extracting #2: cost 125 inf + 1 128.764 * * [simplify]: Extracting #3: cost 163 inf + 127 128.764 * * [simplify]: Extracting #4: cost 162 inf + 425 128.766 * * [simplify]: Extracting #5: cost 132 inf + 3989 128.769 * * [simplify]: Extracting #6: cost 68 inf + 31169 128.778 * * [simplify]: Extracting #7: cost 6 inf + 73091 128.792 * * [simplify]: Extracting #8: cost 0 inf + 74351 128.813 * * [simplify]: Extracting #9: cost 0 inf + 74220 128.836 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 128.836 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (sqrt 1) (pow n (/ (- 1 k) 2)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 128.837 * * * * [progress]: [ 209 / 315 ] simplifiying candidate # 128.837 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 128.837 * * [simplify]: iters left: 6 (15 enodes) 128.846 * * [simplify]: iters left: 5 (64 enodes) 128.867 * * [simplify]: iters left: 4 (102 enodes) 128.898 * * [simplify]: iters left: 3 (143 enodes) 128.942 * * [simplify]: iters left: 2 (223 enodes) 129.025 * * [simplify]: iters left: 1 (382 enodes) 129.127 * * [simplify]: Extracting #0: cost 1 inf + 0 129.127 * * [simplify]: Extracting #1: cost 6 inf + 0 129.127 * * [simplify]: Extracting #2: cost 9 inf + 1 129.128 * * [simplify]: Extracting #3: cost 30 inf + 1 129.128 * * [simplify]: Extracting #4: cost 95 inf + 2 129.128 * * [simplify]: Extracting #5: cost 140 inf + 176 129.129 * * [simplify]: Extracting #6: cost 134 inf + 726 129.132 * * [simplify]: Extracting #7: cost 69 inf + 14273 129.138 * * [simplify]: Extracting #8: cost 16 inf + 42552 129.146 * * [simplify]: Extracting #9: cost 0 inf + 57179 129.159 * * [simplify]: Extracting #10: cost 0 inf + 57019 129.167 * [simplify]: Simplified to (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 129.167 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (sqrt 1) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 129.168 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 129.168 * * [simplify]: iters left: 6 (15 enodes) 129.173 * * [simplify]: iters left: 5 (62 enodes) 129.190 * * [simplify]: iters left: 4 (98 enodes) 129.212 * * [simplify]: iters left: 3 (142 enodes) 129.240 * * [simplify]: iters left: 2 (243 enodes) 129.294 * * [simplify]: iters left: 1 (399 enodes) 129.407 * * [simplify]: Extracting #0: cost 1 inf + 0 129.407 * * [simplify]: Extracting #1: cost 7 inf + 0 129.407 * * [simplify]: Extracting #2: cost 12 inf + 1 129.407 * * [simplify]: Extracting #3: cost 32 inf + 166 129.408 * * [simplify]: Extracting #4: cost 99 inf + 249 129.410 * * [simplify]: Extracting #5: cost 133 inf + 1088 129.414 * * [simplify]: Extracting #6: cost 85 inf + 10118 129.431 * * [simplify]: Extracting #7: cost 23 inf + 41326 129.448 * * [simplify]: Extracting #8: cost 0 inf + 60801 129.457 * * [simplify]: Extracting #9: cost 0 inf + 60276 129.466 * * [simplify]: Extracting #10: cost 0 inf + 60066 129.475 * [simplify]: Simplified to (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt k)) 129.475 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt k)))) 129.475 * * * * [progress]: [ 210 / 315 ] simplifiying candidate # 129.475 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 129.475 * * [simplify]: iters left: 6 (14 enodes) 129.485 * * [simplify]: iters left: 5 (59 enodes) 129.500 * * [simplify]: iters left: 4 (93 enodes) 129.514 * * [simplify]: iters left: 3 (133 enodes) 129.548 * * [simplify]: iters left: 2 (204 enodes) 129.590 * * [simplify]: iters left: 1 (365 enodes) 129.725 * * [simplify]: Extracting #0: cost 1 inf + 0 129.725 * * [simplify]: Extracting #1: cost 6 inf + 0 129.726 * * [simplify]: Extracting #2: cost 33 inf + 1 129.726 * * [simplify]: Extracting #3: cost 116 inf + 2 129.727 * * [simplify]: Extracting #4: cost 153 inf + 177 129.729 * * [simplify]: Extracting #5: cost 148 inf + 519 129.732 * * [simplify]: Extracting #6: cost 91 inf + 6817 129.742 * * [simplify]: Extracting #7: cost 28 inf + 38560 129.761 * * [simplify]: Extracting #8: cost 2 inf + 58672 129.780 * * [simplify]: Extracting #9: cost 0 inf + 59571 129.800 * * [simplify]: Extracting #10: cost 0 inf + 59531 129.819 * [simplify]: Simplified to (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 129.819 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 129.819 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 129.819 * * [simplify]: iters left: 6 (15 enodes) 129.828 * * [simplify]: iters left: 5 (62 enodes) 129.848 * * [simplify]: iters left: 4 (99 enodes) 129.867 * * [simplify]: iters left: 3 (146 enodes) 129.914 * * [simplify]: iters left: 2 (253 enodes) 129.966 * * [simplify]: iters left: 1 (409 enodes) 130.112 * * [simplify]: Extracting #0: cost 1 inf + 0 130.112 * * [simplify]: Extracting #1: cost 7 inf + 0 130.112 * * [simplify]: Extracting #2: cost 13 inf + 1 130.112 * * [simplify]: Extracting #3: cost 35 inf + 84 130.113 * * [simplify]: Extracting #4: cost 111 inf + 167 130.114 * * [simplify]: Extracting #5: cost 136 inf + 1459 130.119 * * [simplify]: Extracting #6: cost 83 inf + 11017 130.129 * * [simplify]: Extracting #7: cost 31 inf + 30439 130.147 * * [simplify]: Extracting #8: cost 0 inf + 55952 130.156 * * [simplify]: Extracting #9: cost 0 inf + 55390 130.165 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt k)) 130.165 * [simplify]: Simplified (2 2) to (λ (k n) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt k)))) 130.166 * * * * [progress]: [ 211 / 315 ] simplifiying candidate # 130.166 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt 1) 1)) 130.166 * * [simplify]: iters left: 5 (4 enodes) 130.173 * * [simplify]: iters left: 4 (14 enodes) 130.174 * * [simplify]: iters left: 3 (16 enodes) 130.176 * * [simplify]: Extracting #0: cost 1 inf + 0 130.176 * * [simplify]: Extracting #1: cost 0 inf + 1 130.176 * [simplify]: Simplified to 1 130.176 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 130.177 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 130.177 * * [simplify]: iters left: 6 (14 enodes) 130.182 * * [simplify]: iters left: 5 (59 enodes) 130.201 * * [simplify]: iters left: 4 (103 enodes) 130.221 * * [simplify]: iters left: 3 (165 enodes) 130.261 * * [simplify]: iters left: 2 (314 enodes) 130.370 * * [simplify]: Extracting #0: cost 1 inf + 0 130.370 * * [simplify]: Extracting #1: cost 56 inf + 0 130.371 * * [simplify]: Extracting #2: cost 152 inf + 1 130.372 * * [simplify]: Extracting #3: cost 195 inf + 86 130.374 * * [simplify]: Extracting #4: cost 187 inf + 1215 130.378 * * [simplify]: Extracting #5: cost 137 inf + 11621 130.394 * * [simplify]: Extracting #6: cost 48 inf + 64325 130.420 * * [simplify]: Extracting #7: cost 1 inf + 98423 130.448 * * [simplify]: Extracting #8: cost 0 inf + 98696 130.465 * [simplify]: Simplified to (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k)) 130.465 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k)))) 130.465 * * * * [progress]: [ 212 / 315 ] simplifiying candidate # 130.466 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 130.466 * * [simplify]: iters left: 6 (14 enodes) 130.471 * * [simplify]: iters left: 5 (62 enodes) 130.482 * * [simplify]: iters left: 4 (103 enodes) 130.512 * * [simplify]: iters left: 3 (161 enodes) 130.540 * * [simplify]: iters left: 2 (285 enodes) 130.606 * * [simplify]: Extracting #0: cost 1 inf + 0 130.606 * * [simplify]: Extracting #1: cost 21 inf + 0 130.607 * * [simplify]: Extracting #2: cost 81 inf + 2 130.607 * * [simplify]: Extracting #3: cost 124 inf + 301 130.608 * * [simplify]: Extracting #4: cost 119 inf + 641 130.609 * * [simplify]: Extracting #5: cost 78 inf + 4948 130.612 * * [simplify]: Extracting #6: cost 30 inf + 21967 130.618 * * [simplify]: Extracting #7: cost 0 inf + 44180 130.625 * * [simplify]: Extracting #8: cost 0 inf + 44139 130.634 * [simplify]: Simplified to (pow (* n (* 2 PI)) (/ (- 1 k) 4)) 130.634 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 4)) (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 130.635 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 130.635 * * [simplify]: iters left: 6 (15 enodes) 130.644 * * [simplify]: iters left: 5 (65 enodes) 130.665 * * [simplify]: iters left: 4 (109 enodes) 130.685 * * [simplify]: iters left: 3 (183 enodes) 130.741 * * [simplify]: iters left: 2 (370 enodes) 130.927 * * [simplify]: Extracting #0: cost 1 inf + 0 130.927 * * [simplify]: Extracting #1: cost 42 inf + 0 130.928 * * [simplify]: Extracting #2: cost 132 inf + 1 130.929 * * [simplify]: Extracting #3: cost 186 inf + 127 130.931 * * [simplify]: Extracting #4: cost 179 inf + 2752 130.936 * * [simplify]: Extracting #5: cost 124 inf + 11902 130.954 * * [simplify]: Extracting #6: cost 25 inf + 73950 130.973 * * [simplify]: Extracting #7: cost 1 inf + 90027 130.989 * * [simplify]: Extracting #8: cost 0 inf + 90039 131.006 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt k)) 131.006 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt k)))) 131.006 * * * * [progress]: [ 213 / 315 ] simplifiying candidate # 131.007 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) 131.007 * * [simplify]: iters left: 6 (12 enodes) 131.015 * * [simplify]: iters left: 5 (49 enodes) 131.032 * * [simplify]: iters left: 4 (85 enodes) 131.060 * * [simplify]: iters left: 3 (146 enodes) 131.116 * * [simplify]: iters left: 2 (306 enodes) 131.237 * * [simplify]: Extracting #0: cost 1 inf + 0 131.237 * * [simplify]: Extracting #1: cost 45 inf + 0 131.237 * * [simplify]: Extracting #2: cost 138 inf + 1 131.238 * * [simplify]: Extracting #3: cost 181 inf + 4 131.239 * * [simplify]: Extracting #4: cost 166 inf + 3294 131.242 * * [simplify]: Extracting #5: cost 98 inf + 22839 131.250 * * [simplify]: Extracting #6: cost 15 inf + 72079 131.262 * * [simplify]: Extracting #7: cost 0 inf + 81271 131.284 * * [simplify]: Extracting #8: cost 0 inf + 81007 131.308 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 131.308 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 131.308 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 131.309 * * [simplify]: iters left: 6 (13 enodes) 131.313 * * [simplify]: iters left: 5 (53 enodes) 131.321 * * [simplify]: iters left: 4 (89 enodes) 131.336 * * [simplify]: iters left: 3 (146 enodes) 131.375 * * [simplify]: iters left: 2 (298 enodes) 131.508 * * [simplify]: Extracting #0: cost 1 inf + 0 131.508 * * [simplify]: Extracting #1: cost 45 inf + 0 131.508 * * [simplify]: Extracting #2: cost 125 inf + 1 131.509 * * [simplify]: Extracting #3: cost 170 inf + 3 131.510 * * [simplify]: Extracting #4: cost 162 inf + 756 131.511 * * [simplify]: Extracting #5: cost 119 inf + 6798 131.517 * * [simplify]: Extracting #6: cost 55 inf + 41462 131.527 * * [simplify]: Extracting #7: cost 2 inf + 81304 131.543 * * [simplify]: Extracting #8: cost 0 inf + 81157 131.558 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 131.558 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 131.558 * * * * [progress]: [ 214 / 315 ] simplifiying candidate # 131.559 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 131.559 * * [simplify]: iters left: 6 (17 enodes) 131.564 * * [simplify]: iters left: 5 (70 enodes) 131.578 * * [simplify]: iters left: 4 (112 enodes) 131.607 * * [simplify]: iters left: 3 (170 enodes) 131.665 * * [simplify]: iters left: 2 (280 enodes) 131.742 * * [simplify]: iters left: 1 (458 enodes) 131.871 * * [simplify]: Extracting #0: cost 1 inf + 0 131.871 * * [simplify]: Extracting #1: cost 10 inf + 0 131.871 * * [simplify]: Extracting #2: cost 18 inf + 1 131.871 * * [simplify]: Extracting #3: cost 44 inf + 1 131.871 * * [simplify]: Extracting #4: cost 112 inf + 369 131.872 * * [simplify]: Extracting #5: cost 162 inf + 873 131.874 * * [simplify]: Extracting #6: cost 105 inf + 10420 131.881 * * [simplify]: Extracting #7: cost 33 inf + 38914 131.891 * * [simplify]: Extracting #8: cost 0 inf + 68170 131.902 * * [simplify]: Extracting #9: cost 0 inf + 66888 131.924 * * [simplify]: Extracting #10: cost 0 inf + 65228 131.948 * * [simplify]: Extracting #11: cost 0 inf + 64864 131.972 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k))))) (sqrt (sqrt k))) 131.972 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k))))) (sqrt (sqrt k))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 131.973 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 131.973 * * [simplify]: iters left: 6 (16 enodes) 131.985 * * [simplify]: iters left: 5 (65 enodes) 132.005 * * [simplify]: iters left: 4 (101 enodes) 132.036 * * [simplify]: iters left: 3 (145 enodes) 132.082 * * [simplify]: iters left: 2 (246 enodes) 132.132 * * [simplify]: iters left: 1 (410 enodes) 132.620 * * [simplify]: Extracting #0: cost 1 inf + 0 132.620 * * [simplify]: Extracting #1: cost 7 inf + 0 132.620 * * [simplify]: Extracting #2: cost 12 inf + 1 132.620 * * [simplify]: Extracting #3: cost 37 inf + 1 132.621 * * [simplify]: Extracting #4: cost 101 inf + 247 132.621 * * [simplify]: Extracting #5: cost 141 inf + 1078 132.624 * * [simplify]: Extracting #6: cost 75 inf + 18550 132.633 * * [simplify]: Extracting #7: cost 4 inf + 55542 132.656 * * [simplify]: Extracting #8: cost 0 inf + 57284 132.671 * * [simplify]: Extracting #9: cost 0 inf + 57164 132.680 * [simplify]: Simplified to (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (sqrt k))) 132.680 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 132.680 * * * * [progress]: [ 215 / 315 ] simplifiying candidate # 132.681 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 132.681 * * [simplify]: iters left: 6 (16 enodes) 132.686 * * [simplify]: iters left: 5 (65 enodes) 132.696 * * [simplify]: iters left: 4 (102 enodes) 132.720 * * [simplify]: iters left: 3 (146 enodes) 132.756 * * [simplify]: iters left: 2 (248 enodes) 132.821 * * [simplify]: iters left: 1 (406 enodes) 132.945 * * [simplify]: Extracting #0: cost 1 inf + 0 132.945 * * [simplify]: Extracting #1: cost 7 inf + 0 132.946 * * [simplify]: Extracting #2: cost 13 inf + 1 132.946 * * [simplify]: Extracting #3: cost 45 inf + 1 132.946 * * [simplify]: Extracting #4: cost 120 inf + 247 132.947 * * [simplify]: Extracting #5: cost 138 inf + 1451 132.950 * * [simplify]: Extracting #6: cost 95 inf + 6921 132.960 * * [simplify]: Extracting #7: cost 31 inf + 37456 132.974 * * [simplify]: Extracting #8: cost 0 inf + 64010 132.984 * * [simplify]: Extracting #9: cost 0 inf + 63433 132.994 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (sqrt (sqrt k))) 132.994 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 132.994 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 132.994 * * [simplify]: iters left: 6 (16 enodes) 132.999 * * [simplify]: iters left: 5 (65 enodes) 133.009 * * [simplify]: iters left: 4 (102 enodes) 133.026 * * [simplify]: iters left: 3 (146 enodes) 133.068 * * [simplify]: iters left: 2 (248 enodes) 133.136 * * [simplify]: iters left: 1 (406 enodes) 133.256 * * [simplify]: Extracting #0: cost 1 inf + 0 133.256 * * [simplify]: Extracting #1: cost 7 inf + 0 133.256 * * [simplify]: Extracting #2: cost 13 inf + 1 133.256 * * [simplify]: Extracting #3: cost 45 inf + 1 133.256 * * [simplify]: Extracting #4: cost 120 inf + 247 133.257 * * [simplify]: Extracting #5: cost 138 inf + 1451 133.259 * * [simplify]: Extracting #6: cost 95 inf + 6921 133.264 * * [simplify]: Extracting #7: cost 31 inf + 37456 133.272 * * [simplify]: Extracting #8: cost 0 inf + 64010 133.285 * * [simplify]: Extracting #9: cost 0 inf + 63433 133.300 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (sqrt (sqrt k))) 133.300 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 133.300 * * * * [progress]: [ 216 / 315 ] simplifiying candidate # 133.300 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) 1)) 133.301 * * [simplify]: iters left: 6 (7 enodes) 133.303 * * [simplify]: iters left: 5 (23 enodes) 133.307 * * [simplify]: iters left: 4 (27 enodes) 133.311 * * [simplify]: Extracting #0: cost 1 inf + 0 133.311 * * [simplify]: Extracting #1: cost 4 inf + 0 133.311 * * [simplify]: Extracting #2: cost 5 inf + 1 133.311 * * [simplify]: Extracting #3: cost 7 inf + 1 133.311 * * [simplify]: Extracting #4: cost 2 inf + 287 133.311 * * [simplify]: Extracting #5: cost 0 inf + 490 133.311 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 133.311 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 133.311 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 133.311 * * [simplify]: iters left: 6 (15 enodes) 133.317 * * [simplify]: iters left: 5 (62 enodes) 133.335 * * [simplify]: iters left: 4 (102 enodes) 133.367 * * [simplify]: iters left: 3 (166 enodes) 133.409 * * [simplify]: iters left: 2 (338 enodes) 133.542 * * [simplify]: Extracting #0: cost 1 inf + 0 133.542 * * [simplify]: Extracting #1: cost 57 inf + 0 133.543 * * [simplify]: Extracting #2: cost 141 inf + 1 133.544 * * [simplify]: Extracting #3: cost 188 inf + 3 133.545 * * [simplify]: Extracting #4: cost 168 inf + 3656 133.548 * * [simplify]: Extracting #5: cost 119 inf + 15725 133.558 * * [simplify]: Extracting #6: cost 18 inf + 80230 133.571 * * [simplify]: Extracting #7: cost 1 inf + 93193 133.592 * * [simplify]: Extracting #8: cost 0 inf + 93558 133.608 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 133.608 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 133.608 * * * * [progress]: [ 217 / 315 ] simplifiying candidate # 133.609 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 133.609 * * [simplify]: iters left: 6 (16 enodes) 133.617 * * [simplify]: iters left: 5 (68 enodes) 133.629 * * [simplify]: iters left: 4 (115 enodes) 133.652 * * [simplify]: iters left: 3 (196 enodes) 133.736 * * [simplify]: iters left: 2 (402 enodes) 133.875 * * [simplify]: Extracting #0: cost 1 inf + 0 133.875 * * [simplify]: Extracting #1: cost 47 inf + 0 133.876 * * [simplify]: Extracting #2: cost 129 inf + 1 133.877 * * [simplify]: Extracting #3: cost 189 inf + 3 133.878 * * [simplify]: Extracting #4: cost 186 inf + 1007 133.884 * * [simplify]: Extracting #5: cost 123 inf + 17637 133.903 * * [simplify]: Extracting #6: cost 26 inf + 72325 133.916 * * [simplify]: Extracting #7: cost 0 inf + 89930 133.932 * * [simplify]: Extracting #8: cost 0 inf + 89548 133.959 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 133.960 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 133.960 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 133.960 * * [simplify]: iters left: 6 (16 enodes) 133.970 * * [simplify]: iters left: 5 (68 enodes) 133.987 * * [simplify]: iters left: 4 (115 enodes) 134.008 * * [simplify]: iters left: 3 (196 enodes) 134.076 * * [simplify]: iters left: 2 (402 enodes) 134.221 * * [simplify]: Extracting #0: cost 1 inf + 0 134.221 * * [simplify]: Extracting #1: cost 47 inf + 0 134.222 * * [simplify]: Extracting #2: cost 129 inf + 1 134.223 * * [simplify]: Extracting #3: cost 189 inf + 3 134.224 * * [simplify]: Extracting #4: cost 186 inf + 1007 134.229 * * [simplify]: Extracting #5: cost 123 inf + 17637 134.249 * * [simplify]: Extracting #6: cost 26 inf + 72325 134.277 * * [simplify]: Extracting #7: cost 0 inf + 89930 134.305 * * [simplify]: Extracting #8: cost 0 inf + 89548 134.336 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 134.336 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))))) 134.336 * * * * [progress]: [ 218 / 315 ] simplifiying candidate # 134.337 * [simplify]: Simplifying (/ (sqrt 1) (/ 1 (pow n (/ (- 1 k) 2)))) 134.337 * * [simplify]: iters left: 6 (10 enodes) 134.344 * * [simplify]: iters left: 5 (43 enodes) 134.359 * * [simplify]: iters left: 4 (66 enodes) 134.378 * * [simplify]: iters left: 3 (104 enodes) 134.397 * * [simplify]: iters left: 2 (210 enodes) 134.459 * * [simplify]: iters left: 1 (428 enodes) 134.733 * * [simplify]: Extracting #0: cost 1 inf + 0 134.734 * * [simplify]: Extracting #1: cost 49 inf + 0 134.735 * * [simplify]: Extracting #2: cost 176 inf + 3 134.737 * * [simplify]: Extracting #3: cost 227 inf + 8 134.739 * * [simplify]: Extracting #4: cost 204 inf + 5591 134.756 * * [simplify]: Extracting #5: cost 79 inf + 56002 134.795 * * [simplify]: Extracting #6: cost 1 inf + 107838 134.838 * * [simplify]: Extracting #7: cost 0 inf + 105864 134.884 * * [simplify]: Extracting #8: cost 0 inf + 105669 134.926 * [simplify]: Simplified to (pow n (- 1/2 (/ k 2))) 134.926 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (sqrt 1) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 134.927 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 134.927 * * [simplify]: iters left: 6 (12 enodes) 134.935 * * [simplify]: iters left: 5 (50 enodes) 134.951 * * [simplify]: iters left: 4 (86 enodes) 134.980 * * [simplify]: iters left: 3 (147 enodes) 135.022 * * [simplify]: iters left: 2 (300 enodes) 135.163 * * [simplify]: Extracting #0: cost 1 inf + 0 135.163 * * [simplify]: Extracting #1: cost 41 inf + 0 135.163 * * [simplify]: Extracting #2: cost 125 inf + 1 135.164 * * [simplify]: Extracting #3: cost 163 inf + 127 135.165 * * [simplify]: Extracting #4: cost 162 inf + 425 135.166 * * [simplify]: Extracting #5: cost 132 inf + 3989 135.170 * * [simplify]: Extracting #6: cost 68 inf + 31169 135.185 * * [simplify]: Extracting #7: cost 6 inf + 73091 135.200 * * [simplify]: Extracting #8: cost 0 inf + 74351 135.210 * * [simplify]: Extracting #9: cost 0 inf + 74220 135.222 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 135.222 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ 1 (pow n (/ (- 1 k) 2)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 135.222 * * * * [progress]: [ 219 / 315 ] simplifiying candidate # 135.223 * [simplify]: Simplifying (/ (sqrt 1) (/ 1 (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 135.223 * * [simplify]: iters left: 6 (15 enodes) 135.228 * * [simplify]: iters left: 5 (64 enodes) 135.242 * * [simplify]: iters left: 4 (99 enodes) 135.257 * * [simplify]: iters left: 3 (138 enodes) 135.292 * * [simplify]: iters left: 2 (214 enodes) 135.362 * * [simplify]: iters left: 1 (383 enodes) 135.512 * * [simplify]: Extracting #0: cost 1 inf + 0 135.513 * * [simplify]: Extracting #1: cost 6 inf + 0 135.513 * * [simplify]: Extracting #2: cost 9 inf + 1 135.513 * * [simplify]: Extracting #3: cost 32 inf + 1 135.513 * * [simplify]: Extracting #4: cost 107 inf + 2 135.514 * * [simplify]: Extracting #5: cost 154 inf + 176 135.514 * * [simplify]: Extracting #6: cost 152 inf + 478 135.516 * * [simplify]: Extracting #7: cost 102 inf + 5687 135.519 * * [simplify]: Extracting #8: cost 48 inf + 23469 135.530 * * [simplify]: Extracting #9: cost 8 inf + 56054 135.543 * * [simplify]: Extracting #10: cost 0 inf + 62389 135.561 * * [simplify]: Extracting #11: cost 0 inf + 62098 135.579 * [simplify]: Simplified to (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 135.580 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (sqrt 1) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 135.580 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 135.580 * * [simplify]: iters left: 6 (15 enodes) 135.585 * * [simplify]: iters left: 5 (62 enodes) 135.595 * * [simplify]: iters left: 4 (98 enodes) 135.612 * * [simplify]: iters left: 3 (142 enodes) 135.663 * * [simplify]: iters left: 2 (243 enodes) 135.743 * * [simplify]: iters left: 1 (399 enodes) 135.890 * * [simplify]: Extracting #0: cost 1 inf + 0 135.890 * * [simplify]: Extracting #1: cost 7 inf + 0 135.890 * * [simplify]: Extracting #2: cost 12 inf + 1 135.890 * * [simplify]: Extracting #3: cost 32 inf + 166 135.890 * * [simplify]: Extracting #4: cost 99 inf + 249 135.891 * * [simplify]: Extracting #5: cost 133 inf + 1088 135.893 * * [simplify]: Extracting #6: cost 85 inf + 10118 135.900 * * [simplify]: Extracting #7: cost 23 inf + 41326 135.909 * * [simplify]: Extracting #8: cost 0 inf + 60801 135.924 * * [simplify]: Extracting #9: cost 0 inf + 60276 135.942 * * [simplify]: Extracting #10: cost 0 inf + 60066 135.961 * [simplify]: Simplified to (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt k)) 135.961 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt k)))) 135.961 * * * * [progress]: [ 220 / 315 ] simplifiying candidate # 135.961 * [simplify]: Simplifying (/ (sqrt 1) (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 135.962 * * [simplify]: iters left: 6 (14 enodes) 135.970 * * [simplify]: iters left: 5 (59 enodes) 135.989 * * [simplify]: iters left: 4 (93 enodes) 136.021 * * [simplify]: iters left: 3 (133 enodes) 136.048 * * [simplify]: iters left: 2 (204 enodes) 136.103 * * [simplify]: iters left: 1 (365 enodes) 136.231 * * [simplify]: Extracting #0: cost 1 inf + 0 136.232 * * [simplify]: Extracting #1: cost 6 inf + 0 136.232 * * [simplify]: Extracting #2: cost 33 inf + 1 136.232 * * [simplify]: Extracting #3: cost 116 inf + 2 136.234 * * [simplify]: Extracting #4: cost 153 inf + 177 136.235 * * [simplify]: Extracting #5: cost 148 inf + 519 136.238 * * [simplify]: Extracting #6: cost 91 inf + 6817 136.249 * * [simplify]: Extracting #7: cost 28 inf + 38560 136.267 * * [simplify]: Extracting #8: cost 2 inf + 58672 136.287 * * [simplify]: Extracting #9: cost 0 inf + 59571 136.306 * * [simplify]: Extracting #10: cost 0 inf + 59531 136.319 * [simplify]: Simplified to (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 136.319 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 136.319 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 136.319 * * [simplify]: iters left: 6 (15 enodes) 136.324 * * [simplify]: iters left: 5 (62 enodes) 136.334 * * [simplify]: iters left: 4 (99 enodes) 136.364 * * [simplify]: iters left: 3 (146 enodes) 136.403 * * [simplify]: iters left: 2 (253 enodes) 136.488 * * [simplify]: iters left: 1 (409 enodes) 136.586 * * [simplify]: Extracting #0: cost 1 inf + 0 136.586 * * [simplify]: Extracting #1: cost 7 inf + 0 136.586 * * [simplify]: Extracting #2: cost 13 inf + 1 136.586 * * [simplify]: Extracting #3: cost 35 inf + 84 136.587 * * [simplify]: Extracting #4: cost 111 inf + 167 136.589 * * [simplify]: Extracting #5: cost 136 inf + 1459 136.593 * * [simplify]: Extracting #6: cost 83 inf + 11017 136.603 * * [simplify]: Extracting #7: cost 31 inf + 30439 136.625 * * [simplify]: Extracting #8: cost 0 inf + 55952 136.644 * * [simplify]: Extracting #9: cost 0 inf + 55390 136.663 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt k)) 136.663 * [simplify]: Simplified (2 2) to (λ (k n) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt k)))) 136.663 * * * * [progress]: [ 221 / 315 ] simplifiying candidate # 136.663 * [simplify]: Simplifying (/ (sqrt 1) (/ 1 1)) 136.663 * * [simplify]: iters left: 4 (4 enodes) 136.670 * * [simplify]: iters left: 3 (12 enodes) 136.673 * * [simplify]: iters left: 2 (14 enodes) 136.676 * * [simplify]: Extracting #0: cost 1 inf + 0 136.676 * * [simplify]: Extracting #1: cost 0 inf + 1 136.676 * [simplify]: Simplified to 1 136.676 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 136.676 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 136.676 * * [simplify]: iters left: 6 (14 enodes) 136.681 * * [simplify]: iters left: 5 (59 enodes) 136.691 * * [simplify]: iters left: 4 (103 enodes) 136.715 * * [simplify]: iters left: 3 (165 enodes) 136.763 * * [simplify]: iters left: 2 (314 enodes) 136.879 * * [simplify]: Extracting #0: cost 1 inf + 0 136.879 * * [simplify]: Extracting #1: cost 56 inf + 0 136.879 * * [simplify]: Extracting #2: cost 152 inf + 1 136.880 * * [simplify]: Extracting #3: cost 195 inf + 86 136.881 * * [simplify]: Extracting #4: cost 187 inf + 1215 136.883 * * [simplify]: Extracting #5: cost 137 inf + 11621 136.891 * * [simplify]: Extracting #6: cost 48 inf + 64325 136.904 * * [simplify]: Extracting #7: cost 1 inf + 98423 136.921 * * [simplify]: Extracting #8: cost 0 inf + 98696 136.938 * [simplify]: Simplified to (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k)) 136.938 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k)))) 136.938 * * * * [progress]: [ 222 / 315 ] simplifiying candidate # 136.938 * [simplify]: Simplifying (/ (sqrt 1) (/ 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 136.938 * * [simplify]: iters left: 6 (14 enodes) 136.944 * * [simplify]: iters left: 5 (62 enodes) 136.955 * * [simplify]: iters left: 4 (103 enodes) 136.972 * * [simplify]: iters left: 3 (161 enodes) 137.006 * * [simplify]: iters left: 2 (285 enodes) 137.100 * * [simplify]: Extracting #0: cost 1 inf + 0 137.100 * * [simplify]: Extracting #1: cost 21 inf + 0 137.101 * * [simplify]: Extracting #2: cost 81 inf + 2 137.101 * * [simplify]: Extracting #3: cost 124 inf + 301 137.102 * * [simplify]: Extracting #4: cost 119 inf + 641 137.103 * * [simplify]: Extracting #5: cost 78 inf + 4948 137.109 * * [simplify]: Extracting #6: cost 30 inf + 21967 137.115 * * [simplify]: Extracting #7: cost 0 inf + 44180 137.123 * * [simplify]: Extracting #8: cost 0 inf + 44139 137.136 * [simplify]: Simplified to (pow (* n (* 2 PI)) (/ (- 1 k) 4)) 137.136 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 4)) (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 137.136 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 137.136 * * [simplify]: iters left: 6 (15 enodes) 137.145 * * [simplify]: iters left: 5 (65 enodes) 137.167 * * [simplify]: iters left: 4 (109 enodes) 137.202 * * [simplify]: iters left: 3 (183 enodes) 137.263 * * [simplify]: iters left: 2 (370 enodes) 137.446 * * [simplify]: Extracting #0: cost 1 inf + 0 137.446 * * [simplify]: Extracting #1: cost 42 inf + 0 137.447 * * [simplify]: Extracting #2: cost 132 inf + 1 137.447 * * [simplify]: Extracting #3: cost 186 inf + 127 137.448 * * [simplify]: Extracting #4: cost 179 inf + 2752 137.451 * * [simplify]: Extracting #5: cost 124 inf + 11902 137.463 * * [simplify]: Extracting #6: cost 25 inf + 73950 137.476 * * [simplify]: Extracting #7: cost 1 inf + 90027 137.489 * * [simplify]: Extracting #8: cost 0 inf + 90039 137.504 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt k)) 137.504 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt k)))) 137.504 * * * * [progress]: [ 223 / 315 ] simplifiying candidate # 137.504 * [simplify]: Simplifying (/ (sqrt 1) 1) 137.504 * * [simplify]: iters left: 3 (3 enodes) 137.508 * * [simplify]: iters left: 2 (9 enodes) 137.510 * * [simplify]: iters left: 1 (11 enodes) 137.513 * * [simplify]: Extracting #0: cost 1 inf + 0 137.513 * * [simplify]: Extracting #1: cost 0 inf + 1 137.513 * [simplify]: Simplified to 1 137.513 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 137.514 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 137.514 * * [simplify]: iters left: 6 (14 enodes) 137.522 * * [simplify]: iters left: 5 (59 enodes) 137.542 * * [simplify]: iters left: 4 (103 enodes) 137.575 * * [simplify]: iters left: 3 (165 enodes) 137.641 * * [simplify]: iters left: 2 (314 enodes) 137.755 * * [simplify]: Extracting #0: cost 1 inf + 0 137.755 * * [simplify]: Extracting #1: cost 56 inf + 0 137.756 * * [simplify]: Extracting #2: cost 152 inf + 1 137.756 * * [simplify]: Extracting #3: cost 195 inf + 86 137.757 * * [simplify]: Extracting #4: cost 187 inf + 1215 137.759 * * [simplify]: Extracting #5: cost 137 inf + 11621 137.775 * * [simplify]: Extracting #6: cost 48 inf + 64325 137.802 * * [simplify]: Extracting #7: cost 1 inf + 98423 137.818 * * [simplify]: Extracting #8: cost 0 inf + 98696 137.832 * [simplify]: Simplified to (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k)) 137.832 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k)))) 137.832 * * * * [progress]: [ 224 / 315 ] simplifiying candidate # 137.832 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k)) 137.832 * * [simplify]: iters left: 3 (5 enodes) 137.835 * * [simplify]: iters left: 2 (17 enodes) 137.837 * * [simplify]: iters left: 1 (19 enodes) 137.840 * * [simplify]: Extracting #0: cost 1 inf + 0 137.841 * * [simplify]: Extracting #1: cost 4 inf + 0 137.841 * * [simplify]: Extracting #2: cost 5 inf + 1 137.841 * * [simplify]: Extracting #3: cost 0 inf + 248 137.841 * [simplify]: Simplified to (/ 1 (sqrt k)) 137.841 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (sqrt 1) (/ 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 137.841 * [simplify]: Simplifying (/ (sqrt 1) (/ 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 137.841 * * [simplify]: iters left: 6 (13 enodes) 137.849 * * [simplify]: iters left: 5 (56 enodes) 137.868 * * [simplify]: iters left: 4 (91 enodes) 137.896 * * [simplify]: iters left: 3 (132 enodes) 137.919 * * [simplify]: iters left: 2 (220 enodes) 137.976 * * [simplify]: iters left: 1 (428 enodes) 138.255 * * [simplify]: Extracting #0: cost 1 inf + 0 138.255 * * [simplify]: Extracting #1: cost 48 inf + 0 138.256 * * [simplify]: Extracting #2: cost 182 inf + 2 138.258 * * [simplify]: Extracting #3: cost 238 inf + 176 138.261 * * [simplify]: Extracting #4: cost 229 inf + 768 138.267 * * [simplify]: Extracting #5: cost 156 inf + 18147 138.297 * * [simplify]: Extracting #6: cost 50 inf + 85831 138.341 * * [simplify]: Extracting #7: cost 0 inf + 125386 138.374 * * [simplify]: Extracting #8: cost 0 inf + 124349 138.396 * [simplify]: Simplified to (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) 138.396 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (sqrt k)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) 138.396 * * * * [progress]: [ 225 / 315 ] simplifiying candidate # 138.397 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ 1 2)))) 138.397 * * [simplify]: iters left: 6 (13 enodes) 138.401 * * [simplify]: iters left: 5 (51 enodes) 138.419 * * [simplify]: iters left: 4 (88 enodes) 138.443 * * [simplify]: iters left: 3 (155 enodes) 138.494 * * [simplify]: iters left: 2 (306 enodes) 138.611 * * [simplify]: Extracting #0: cost 1 inf + 0 138.612 * * [simplify]: Extracting #1: cost 40 inf + 0 138.612 * * [simplify]: Extracting #2: cost 108 inf + 1 138.612 * * [simplify]: Extracting #3: cost 107 inf + 255 138.613 * * [simplify]: Extracting #4: cost 102 inf + 679 138.615 * * [simplify]: Extracting #5: cost 51 inf + 23537 138.621 * * [simplify]: Extracting #6: cost 0 inf + 53661 138.632 * [simplify]: Simplified to (/ (sqrt (* (* 2 PI) n)) (sqrt k)) 138.632 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* 2 PI) n)) (sqrt k)) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ k 2))))) 138.632 * [simplify]: Simplifying (/ (sqrt 1) (pow (* n (* 2 PI)) (/ k 2))) 138.632 * * [simplify]: iters left: 6 (11 enodes) 138.638 * * [simplify]: iters left: 5 (42 enodes) 138.652 * * [simplify]: iters left: 4 (66 enodes) 138.672 * * [simplify]: iters left: 3 (101 enodes) 138.706 * * [simplify]: iters left: 2 (171 enodes) 138.738 * * [simplify]: iters left: 1 (319 enodes) 138.919 * * [simplify]: Extracting #0: cost 1 inf + 0 138.919 * * [simplify]: Extracting #1: cost 6 inf + 0 138.920 * * [simplify]: Extracting #2: cost 38 inf + 1 138.920 * * [simplify]: Extracting #3: cost 127 inf + 2 138.921 * * [simplify]: Extracting #4: cost 156 inf + 177 138.926 * * [simplify]: Extracting #5: cost 89 inf + 15817 138.944 * * [simplify]: Extracting #6: cost 12 inf + 49508 138.958 * * [simplify]: Extracting #7: cost 0 inf + 56041 138.971 * [simplify]: Simplified to (/ 1 (pow (* n (* 2 PI)) (/ k 2))) 138.971 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* 2 PI) n)) (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (/ k 2))))) 138.971 * * * * [progress]: [ 226 / 315 ] simplifiying candidate # 138.972 * [simplify]: Simplifying (/ 1 (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 138.972 * * [simplify]: iters left: 6 (15 enodes) 138.980 * * [simplify]: iters left: 5 (62 enodes) 139.000 * * [simplify]: iters left: 4 (99 enodes) 139.018 * * [simplify]: iters left: 3 (143 enodes) 139.053 * * [simplify]: iters left: 2 (222 enodes) 139.124 * * [simplify]: iters left: 1 (384 enodes) 139.265 * * [simplify]: Extracting #0: cost 1 inf + 0 139.265 * * [simplify]: Extracting #1: cost 6 inf + 0 139.265 * * [simplify]: Extracting #2: cost 9 inf + 1 139.265 * * [simplify]: Extracting #3: cost 14 inf + 1 139.265 * * [simplify]: Extracting #4: cost 43 inf + 1 139.266 * * [simplify]: Extracting #5: cost 128 inf + 3 139.267 * * [simplify]: Extracting #6: cost 156 inf + 510 139.271 * * [simplify]: Extracting #7: cost 103 inf + 14284 139.285 * * [simplify]: Extracting #8: cost 29 inf + 51488 139.308 * * [simplify]: Extracting #9: cost 0 inf + 74378 139.333 * * [simplify]: Extracting #10: cost 0 inf + 72843 139.358 * * [simplify]: Extracting #11: cost 0 inf + 72346 139.382 * * [simplify]: Extracting #12: cost 0 inf + 71767 139.394 * [simplify]: Simplified to (/ 1 (* (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) 139.394 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) (/ 1 (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 139.394 * [simplify]: Simplifying (/ 1 (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 139.395 * * [simplify]: iters left: 6 (14 enodes) 139.399 * * [simplify]: iters left: 5 (57 enodes) 139.408 * * [simplify]: iters left: 4 (92 enodes) 139.433 * * [simplify]: iters left: 3 (132 enodes) 139.458 * * [simplify]: iters left: 2 (206 enodes) 139.514 * * [simplify]: iters left: 1 (376 enodes) 139.685 * * [simplify]: Extracting #0: cost 1 inf + 0 139.685 * * [simplify]: Extracting #1: cost 4 inf + 0 139.685 * * [simplify]: Extracting #2: cost 5 inf + 1 139.685 * * [simplify]: Extracting #3: cost 10 inf + 1 139.686 * * [simplify]: Extracting #4: cost 40 inf + 1 139.686 * * [simplify]: Extracting #5: cost 131 inf + 3 139.688 * * [simplify]: Extracting #6: cost 161 inf + 386 139.691 * * [simplify]: Extracting #7: cost 116 inf + 7183 139.700 * * [simplify]: Extracting #8: cost 55 inf + 30166 139.723 * * [simplify]: Extracting #9: cost 12 inf + 63669 139.743 * * [simplify]: Extracting #10: cost 0 inf + 73569 139.764 * * [simplify]: Extracting #11: cost 0 inf + 73115 139.782 * [simplify]: Simplified to (/ 1 (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) 139.782 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ 1 (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))) 139.782 * * * * [progress]: [ 227 / 315 ] simplifiying candidate # 139.783 * [simplify]: Simplifying (/ 1 (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 139.783 * * [simplify]: iters left: 6 (14 enodes) 139.787 * * [simplify]: iters left: 5 (57 enodes) 139.797 * * [simplify]: iters left: 4 (92 enodes) 139.813 * * [simplify]: iters left: 3 (132 enodes) 139.837 * * [simplify]: iters left: 2 (206 enodes) 139.881 * * [simplify]: iters left: 1 (376 enodes) 140.022 * * [simplify]: Extracting #0: cost 1 inf + 0 140.022 * * [simplify]: Extracting #1: cost 4 inf + 0 140.022 * * [simplify]: Extracting #2: cost 5 inf + 1 140.022 * * [simplify]: Extracting #3: cost 10 inf + 1 140.023 * * [simplify]: Extracting #4: cost 40 inf + 1 140.023 * * [simplify]: Extracting #5: cost 131 inf + 3 140.024 * * [simplify]: Extracting #6: cost 161 inf + 386 140.025 * * [simplify]: Extracting #7: cost 116 inf + 7183 140.029 * * [simplify]: Extracting #8: cost 55 inf + 30046 140.038 * * [simplify]: Extracting #9: cost 12 inf + 63509 140.049 * * [simplify]: Extracting #10: cost 0 inf + 73409 140.059 * * [simplify]: Extracting #11: cost 0 inf + 72955 140.070 * [simplify]: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) 140.070 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ 1 (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 140.070 * [simplify]: Simplifying (/ 1 (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 140.070 * * [simplify]: iters left: 6 (14 enodes) 140.074 * * [simplify]: iters left: 5 (57 enodes) 140.086 * * [simplify]: iters left: 4 (92 enodes) 140.100 * * [simplify]: iters left: 3 (132 enodes) 140.122 * * [simplify]: iters left: 2 (206 enodes) 140.162 * * [simplify]: iters left: 1 (376 enodes) 140.299 * * [simplify]: Extracting #0: cost 1 inf + 0 140.299 * * [simplify]: Extracting #1: cost 4 inf + 0 140.299 * * [simplify]: Extracting #2: cost 5 inf + 1 140.299 * * [simplify]: Extracting #3: cost 10 inf + 1 140.299 * * [simplify]: Extracting #4: cost 40 inf + 1 140.300 * * [simplify]: Extracting #5: cost 131 inf + 3 140.301 * * [simplify]: Extracting #6: cost 161 inf + 386 140.305 * * [simplify]: Extracting #7: cost 116 inf + 7183 140.313 * * [simplify]: Extracting #8: cost 55 inf + 30046 140.331 * * [simplify]: Extracting #9: cost 12 inf + 63509 140.348 * * [simplify]: Extracting #10: cost 0 inf + 73409 140.361 * * [simplify]: Extracting #11: cost 0 inf + 72955 140.371 * [simplify]: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) 140.371 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ 1 (sqrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))) 140.371 * * * * [progress]: [ 228 / 315 ] simplifiying candidate # 140.372 * [simplify]: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2)))) 140.372 * * [simplify]: iters left: 6 (12 enodes) 140.375 * * [simplify]: iters left: 5 (51 enodes) 140.389 * * [simplify]: iters left: 4 (95 enodes) 140.421 * * [simplify]: iters left: 3 (184 enodes) 140.485 * * [simplify]: iters left: 2 (433 enodes) 140.740 * * [simplify]: Extracting #0: cost 1 inf + 0 140.740 * * [simplify]: Extracting #1: cost 92 inf + 0 140.742 * * [simplify]: Extracting #2: cost 257 inf + 1 140.744 * * [simplify]: Extracting #3: cost 310 inf + 4 140.749 * * [simplify]: Extracting #4: cost 273 inf + 10674 140.764 * * [simplify]: Extracting #5: cost 150 inf + 67997 140.804 * * [simplify]: Extracting #6: cost 29 inf + 156372 140.845 * * [simplify]: Extracting #7: cost 0 inf + 176537 140.871 * * [simplify]: Extracting #8: cost 0 inf + 176275 140.921 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 140.921 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 140.921 * [simplify]: Simplifying (/ 1 (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 140.921 * * [simplify]: iters left: 6 (12 enodes) 140.928 * * [simplify]: iters left: 5 (50 enodes) 140.945 * * [simplify]: iters left: 4 (84 enodes) 140.973 * * [simplify]: iters left: 3 (138 enodes) 141.029 * * [simplify]: iters left: 2 (280 enodes) 141.133 * * [simplify]: Extracting #0: cost 1 inf + 0 141.134 * * [simplify]: Extracting #1: cost 49 inf + 0 141.134 * * [simplify]: Extracting #2: cost 133 inf + 1 141.135 * * [simplify]: Extracting #3: cost 177 inf + 3 141.137 * * [simplify]: Extracting #4: cost 172 inf + 962 141.140 * * [simplify]: Extracting #5: cost 132 inf + 7689 141.147 * * [simplify]: Extracting #6: cost 79 inf + 29560 141.166 * * [simplify]: Extracting #7: cost 14 inf + 75836 141.188 * * [simplify]: Extracting #8: cost 0 inf + 84622 141.210 * * [simplify]: Extracting #9: cost 0 inf + 84371 141.232 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k))) 141.232 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k))))) 141.232 * * * * [progress]: [ 229 / 315 ] simplifiying candidate # 141.232 * [simplify]: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 141.232 * * [simplify]: iters left: 6 (17 enodes) 141.239 * * [simplify]: iters left: 5 (74 enodes) 141.253 * * [simplify]: iters left: 4 (132 enodes) 141.290 * * [simplify]: iters left: 3 (206 enodes) 141.340 * * [simplify]: iters left: 2 (343 enodes) 141.441 * * [simplify]: Extracting #0: cost 1 inf + 0 141.441 * * [simplify]: Extracting #1: cost 17 inf + 0 141.442 * * [simplify]: Extracting #2: cost 31 inf + 1 141.442 * * [simplify]: Extracting #3: cost 46 inf + 1 141.442 * * [simplify]: Extracting #4: cost 91 inf + 3 141.443 * * [simplify]: Extracting #5: cost 109 inf + 1434 141.448 * * [simplify]: Extracting #6: cost 52 inf + 14939 141.462 * * [simplify]: Extracting #7: cost 7 inf + 35173 141.474 * * [simplify]: Extracting #8: cost 0 inf + 39741 141.488 * * [simplify]: Extracting #9: cost 0 inf + 39610 141.494 * [simplify]: Simplified to (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k)))) 141.494 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k)))) (/ 1 (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 141.495 * [simplify]: Simplifying (/ 1 (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 141.495 * * [simplify]: iters left: 6 (15 enodes) 141.499 * * [simplify]: iters left: 5 (62 enodes) 141.509 * * [simplify]: iters left: 4 (96 enodes) 141.530 * * [simplify]: iters left: 3 (136 enodes) 141.561 * * [simplify]: iters left: 2 (234 enodes) 141.631 * * [simplify]: iters left: 1 (391 enodes) 141.766 * * [simplify]: Extracting #0: cost 1 inf + 0 141.766 * * [simplify]: Extracting #1: cost 7 inf + 0 141.766 * * [simplify]: Extracting #2: cost 12 inf + 1 141.766 * * [simplify]: Extracting #3: cost 37 inf + 1 141.767 * * [simplify]: Extracting #4: cost 108 inf + 3 141.768 * * [simplify]: Extracting #5: cost 156 inf + 751 141.772 * * [simplify]: Extracting #6: cost 93 inf + 12561 141.782 * * [simplify]: Extracting #7: cost 36 inf + 33680 141.797 * * [simplify]: Extracting #8: cost 2 inf + 61519 141.806 * * [simplify]: Extracting #9: cost 0 inf + 62762 141.815 * [simplify]: Simplified to (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (cbrt (sqrt k))) 141.816 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (cbrt (sqrt k))))) 141.816 * * * * [progress]: [ 230 / 315 ] simplifiying candidate # 141.816 * [simplify]: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 141.816 * * [simplify]: iters left: 6 (16 enodes) 141.825 * * [simplify]: iters left: 5 (67 enodes) 141.846 * * [simplify]: iters left: 4 (109 enodes) 141.867 * * [simplify]: iters left: 3 (165 enodes) 141.916 * * [simplify]: iters left: 2 (279 enodes) 141.990 * * [simplify]: iters left: 1 (444 enodes) 142.141 * * [simplify]: Extracting #0: cost 1 inf + 0 142.142 * * [simplify]: Extracting #1: cost 11 inf + 0 142.142 * * [simplify]: Extracting #2: cost 21 inf + 1 142.142 * * [simplify]: Extracting #3: cost 45 inf + 1 142.143 * * [simplify]: Extracting #4: cost 126 inf + 3 142.144 * * [simplify]: Extracting #5: cost 150 inf + 1200 142.149 * * [simplify]: Extracting #6: cost 95 inf + 11892 142.157 * * [simplify]: Extracting #7: cost 51 inf + 21758 142.173 * * [simplify]: Extracting #8: cost 8 inf + 55349 142.192 * * [simplify]: Extracting #9: cost 0 inf + 61406 142.201 * * [simplify]: Extracting #10: cost 0 inf + 61275 142.210 * [simplify]: Simplified to (/ (sqrt (pow (* (* n 2) PI) (* 1/2 (- 1 k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 142.210 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (* 1/2 (- 1 k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 142.211 * [simplify]: Simplifying (/ 1 (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 142.211 * * [simplify]: iters left: 6 (15 enodes) 142.215 * * [simplify]: iters left: 5 (62 enodes) 142.227 * * [simplify]: iters left: 4 (97 enodes) 142.257 * * [simplify]: iters left: 3 (140 enodes) 142.284 * * [simplify]: iters left: 2 (244 enodes) 142.336 * * [simplify]: iters left: 1 (413 enodes) 142.488 * * [simplify]: Extracting #0: cost 1 inf + 0 142.489 * * [simplify]: Extracting #1: cost 7 inf + 0 142.489 * * [simplify]: Extracting #2: cost 13 inf + 1 142.489 * * [simplify]: Extracting #3: cost 40 inf + 1 142.490 * * [simplify]: Extracting #4: cost 126 inf + 3 142.491 * * [simplify]: Extracting #5: cost 165 inf + 840 142.493 * * [simplify]: Extracting #6: cost 104 inf + 11066 142.498 * * [simplify]: Extracting #7: cost 53 inf + 25210 142.506 * * [simplify]: Extracting #8: cost 15 inf + 54570 142.517 * * [simplify]: Extracting #9: cost 0 inf + 66084 142.527 * * [simplify]: Extracting #10: cost 0 inf + 65872 142.548 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 142.548 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 142.548 * * * * [progress]: [ 231 / 315 ] simplifiying candidate # 142.548 * [simplify]: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 142.548 * * [simplify]: iters left: 6 (7 enodes) 142.552 * * [simplify]: iters left: 5 (25 enodes) 142.561 * * [simplify]: iters left: 4 (38 enodes) 142.575 * * [simplify]: iters left: 3 (41 enodes) 142.585 * * [simplify]: iters left: 2 (42 enodes) 142.595 * * [simplify]: Extracting #0: cost 1 inf + 0 142.595 * * [simplify]: Extracting #1: cost 6 inf + 0 142.595 * * [simplify]: Extracting #2: cost 9 inf + 1 142.595 * * [simplify]: Extracting #3: cost 11 inf + 1 142.595 * * [simplify]: Extracting #4: cost 10 inf + 2 142.595 * * [simplify]: Extracting #5: cost 2 inf + 1093 142.596 * * [simplify]: Extracting #6: cost 0 inf + 1376 142.596 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 142.596 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 142.597 * [simplify]: Simplifying (/ 1 (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 142.597 * * [simplify]: iters left: 6 (14 enodes) 142.605 * * [simplify]: iters left: 5 (59 enodes) 142.616 * * [simplify]: iters left: 4 (101 enodes) 142.633 * * [simplify]: iters left: 3 (156 enodes) 142.671 * * [simplify]: iters left: 2 (296 enodes) 142.770 * * [simplify]: Extracting #0: cost 1 inf + 0 142.770 * * [simplify]: Extracting #1: cost 50 inf + 0 142.771 * * [simplify]: Extracting #2: cost 127 inf + 1 142.772 * * [simplify]: Extracting #3: cost 176 inf + 3 142.773 * * [simplify]: Extracting #4: cost 172 inf + 755 142.777 * * [simplify]: Extracting #5: cost 125 inf + 10920 142.787 * * [simplify]: Extracting #6: cost 59 inf + 40958 142.799 * * [simplify]: Extracting #7: cost 2 inf + 88007 142.812 * * [simplify]: Extracting #8: cost 0 inf + 90112 142.825 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (cbrt (sqrt k))) 142.825 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (cbrt (sqrt k))))) 142.825 * * * * [progress]: [ 232 / 315 ] simplifiying candidate # 142.825 * [simplify]: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 142.825 * * [simplify]: iters left: 6 (16 enodes) 142.830 * * [simplify]: iters left: 5 (70 enodes) 142.853 * * [simplify]: iters left: 4 (125 enodes) 142.899 * * [simplify]: iters left: 3 (234 enodes) 142.981 * * [simplify]: Extracting #0: cost 1 inf + 0 142.981 * * [simplify]: Extracting #1: cost 32 inf + 0 142.981 * * [simplify]: Extracting #2: cost 100 inf + 1 142.982 * * [simplify]: Extracting #3: cost 144 inf + 2 142.983 * * [simplify]: Extracting #4: cost 141 inf + 951 142.984 * * [simplify]: Extracting #5: cost 87 inf + 11520 142.991 * * [simplify]: Extracting #6: cost 17 inf + 44406 142.999 * * [simplify]: Extracting #7: cost 1 inf + 55954 143.007 * * [simplify]: Extracting #8: cost 0 inf + 56781 143.017 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 143.017 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 143.017 * [simplify]: Simplifying (/ 1 (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 143.017 * * [simplify]: iters left: 6 (15 enodes) 143.026 * * [simplify]: iters left: 5 (65 enodes) 143.047 * * [simplify]: iters left: 4 (107 enodes) 143.085 * * [simplify]: iters left: 3 (174 enodes) 143.151 * * [simplify]: iters left: 2 (348 enodes) 143.285 * * [simplify]: Extracting #0: cost 1 inf + 0 143.285 * * [simplify]: Extracting #1: cost 41 inf + 0 143.286 * * [simplify]: Extracting #2: cost 116 inf + 1 143.287 * * [simplify]: Extracting #3: cost 175 inf + 3 143.288 * * [simplify]: Extracting #4: cost 182 inf + 590 143.292 * * [simplify]: Extracting #5: cost 123 inf + 14009 143.304 * * [simplify]: Extracting #6: cost 61 inf + 38689 143.332 * * [simplify]: Extracting #7: cost 15 inf + 74561 143.351 * * [simplify]: Extracting #8: cost 0 inf + 87106 143.364 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (cbrt (sqrt k))) 143.364 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (cbrt (sqrt k))))) 143.364 * * * * [progress]: [ 233 / 315 ] simplifiying candidate # 143.364 * [simplify]: Simplifying (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow n (/ (- 1 k) 2)))) 143.364 * * [simplify]: iters left: 6 (12 enodes) 143.368 * * [simplify]: iters left: 5 (50 enodes) 143.377 * * [simplify]: iters left: 4 (84 enodes) 143.390 * * [simplify]: iters left: 3 (134 enodes) 143.428 * * [simplify]: iters left: 2 (271 enodes) 143.517 * * [simplify]: Extracting #0: cost 1 inf + 0 143.517 * * [simplify]: Extracting #1: cost 46 inf + 0 143.518 * * [simplify]: Extracting #2: cost 131 inf + 1 143.518 * * [simplify]: Extracting #3: cost 174 inf + 4 143.519 * * [simplify]: Extracting #4: cost 168 inf + 1205 143.520 * * [simplify]: Extracting #5: cost 128 inf + 7233 143.526 * * [simplify]: Extracting #6: cost 39 inf + 55303 143.536 * * [simplify]: Extracting #7: cost 1 inf + 81600 143.553 * * [simplify]: Extracting #8: cost 0 inf + 81249 143.573 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) 143.573 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (/ 1 (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 143.574 * [simplify]: Simplifying (/ 1 (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 143.574 * * [simplify]: iters left: 6 (12 enodes) 143.581 * * [simplify]: iters left: 5 (50 enodes) 143.598 * * [simplify]: iters left: 4 (84 enodes) 143.624 * * [simplify]: iters left: 3 (138 enodes) 143.680 * * [simplify]: iters left: 2 (280 enodes) 143.778 * * [simplify]: Extracting #0: cost 1 inf + 0 143.778 * * [simplify]: Extracting #1: cost 49 inf + 0 143.778 * * [simplify]: Extracting #2: cost 133 inf + 1 143.779 * * [simplify]: Extracting #3: cost 177 inf + 3 143.779 * * [simplify]: Extracting #4: cost 172 inf + 1002 143.781 * * [simplify]: Extracting #5: cost 132 inf + 7769 143.785 * * [simplify]: Extracting #6: cost 79 inf + 29640 143.794 * * [simplify]: Extracting #7: cost 14 inf + 75916 143.805 * * [simplify]: Extracting #8: cost 0 inf + 84702 143.817 * * [simplify]: Extracting #9: cost 0 inf + 84451 143.831 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k))) 143.831 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 143.831 * * * * [progress]: [ 234 / 315 ] simplifiying candidate # 143.832 * [simplify]: Simplifying (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 143.832 * * [simplify]: iters left: 6 (17 enodes) 143.837 * * [simplify]: iters left: 5 (71 enodes) 143.848 * * [simplify]: iters left: 4 (111 enodes) 143.870 * * [simplify]: iters left: 3 (162 enodes) 143.911 * * [simplify]: iters left: 2 (268 enodes) 143.971 * * [simplify]: iters left: 1 (436 enodes) 144.091 * * [simplify]: Extracting #0: cost 1 inf + 0 144.091 * * [simplify]: Extracting #1: cost 10 inf + 0 144.092 * * [simplify]: Extracting #2: cost 19 inf + 1 144.092 * * [simplify]: Extracting #3: cost 45 inf + 1 144.092 * * [simplify]: Extracting #4: cost 115 inf + 3 144.093 * * [simplify]: Extracting #5: cost 159 inf + 1487 144.095 * * [simplify]: Extracting #6: cost 98 inf + 9442 144.101 * * [simplify]: Extracting #7: cost 29 inf + 42405 144.111 * * [simplify]: Extracting #8: cost 0 inf + 64482 144.125 * * [simplify]: Extracting #9: cost 0 inf + 63280 144.135 * * [simplify]: Extracting #10: cost 0 inf + 63228 144.146 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k))))) (fabs (cbrt k))) 144.146 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k))))) (fabs (cbrt k))) (/ 1 (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 144.146 * [simplify]: Simplifying (/ 1 (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 144.146 * * [simplify]: iters left: 6 (15 enodes) 144.153 * * [simplify]: iters left: 5 (62 enodes) 144.173 * * [simplify]: iters left: 4 (96 enodes) 144.206 * * [simplify]: iters left: 3 (136 enodes) 144.254 * * [simplify]: iters left: 2 (234 enodes) 144.307 * * [simplify]: iters left: 1 (391 enodes) 144.469 * * [simplify]: Extracting #0: cost 1 inf + 0 144.469 * * [simplify]: Extracting #1: cost 7 inf + 0 144.469 * * [simplify]: Extracting #2: cost 12 inf + 1 144.469 * * [simplify]: Extracting #3: cost 37 inf + 1 144.470 * * [simplify]: Extracting #4: cost 108 inf + 3 144.471 * * [simplify]: Extracting #5: cost 156 inf + 791 144.475 * * [simplify]: Extracting #6: cost 93 inf + 12641 144.485 * * [simplify]: Extracting #7: cost 36 inf + 33760 144.499 * * [simplify]: Extracting #8: cost 2 inf + 61599 144.511 * * [simplify]: Extracting #9: cost 0 inf + 62842 144.519 * [simplify]: Simplified to (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (cbrt k))) 144.520 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (cbrt k))))) 144.520 * * * * [progress]: [ 235 / 315 ] simplifiying candidate # 144.520 * [simplify]: Simplifying (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 144.520 * * [simplify]: iters left: 6 (16 enodes) 144.525 * * [simplify]: iters left: 5 (66 enodes) 144.545 * * [simplify]: iters left: 4 (101 enodes) 144.561 * * [simplify]: iters left: 3 (144 enodes) 144.595 * * [simplify]: iters left: 2 (245 enodes) 144.647 * * [simplify]: iters left: 1 (399 enodes) 144.761 * * [simplify]: Extracting #0: cost 1 inf + 0 144.762 * * [simplify]: Extracting #1: cost 7 inf + 0 144.762 * * [simplify]: Extracting #2: cost 14 inf + 1 144.762 * * [simplify]: Extracting #3: cost 45 inf + 1 144.763 * * [simplify]: Extracting #4: cost 121 inf + 3 144.764 * * [simplify]: Extracting #5: cost 161 inf + 1703 144.769 * * [simplify]: Extracting #6: cost 91 inf + 12567 144.787 * * [simplify]: Extracting #7: cost 23 inf + 41692 144.809 * * [simplify]: Extracting #8: cost 0 inf + 59379 144.831 * * [simplify]: Extracting #9: cost 0 inf + 58846 144.853 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (fabs (cbrt k))) 144.854 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (fabs (cbrt k))) (/ 1 (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 144.854 * [simplify]: Simplifying (/ 1 (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 144.854 * * [simplify]: iters left: 6 (15 enodes) 144.861 * * [simplify]: iters left: 5 (62 enodes) 144.880 * * [simplify]: iters left: 4 (97 enodes) 144.904 * * [simplify]: iters left: 3 (140 enodes) 144.937 * * [simplify]: iters left: 2 (244 enodes) 145.006 * * [simplify]: iters left: 1 (413 enodes) 145.159 * * [simplify]: Extracting #0: cost 1 inf + 0 145.159 * * [simplify]: Extracting #1: cost 7 inf + 0 145.159 * * [simplify]: Extracting #2: cost 13 inf + 1 145.159 * * [simplify]: Extracting #3: cost 40 inf + 1 145.160 * * [simplify]: Extracting #4: cost 126 inf + 3 145.161 * * [simplify]: Extracting #5: cost 165 inf + 880 145.163 * * [simplify]: Extracting #6: cost 104 inf + 11146 145.167 * * [simplify]: Extracting #7: cost 53 inf + 25290 145.176 * * [simplify]: Extracting #8: cost 15 inf + 54650 145.186 * * [simplify]: Extracting #9: cost 0 inf + 66164 145.206 * * [simplify]: Extracting #10: cost 0 inf + 65952 145.228 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt (cbrt k))) 145.228 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt (cbrt k))))) 145.231 * * * * [progress]: [ 236 / 315 ] simplifiying candidate # 145.231 * [simplify]: Simplifying (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) 1)) 145.231 * * [simplify]: iters left: 6 (7 enodes) 145.236 * * [simplify]: iters left: 5 (23 enodes) 145.243 * * [simplify]: iters left: 4 (29 enodes) 145.251 * * [simplify]: Extracting #0: cost 1 inf + 0 145.251 * * [simplify]: Extracting #1: cost 4 inf + 0 145.251 * * [simplify]: Extracting #2: cost 6 inf + 1 145.251 * * [simplify]: Extracting #3: cost 9 inf + 1 145.251 * * [simplify]: Extracting #4: cost 8 inf + 2 145.251 * * [simplify]: Extracting #5: cost 2 inf + 689 145.252 * * [simplify]: Extracting #6: cost 0 inf + 972 145.252 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 145.252 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ 1 (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 145.252 * [simplify]: Simplifying (/ 1 (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 145.253 * * [simplify]: iters left: 6 (14 enodes) 145.260 * * [simplify]: iters left: 5 (59 enodes) 145.280 * * [simplify]: iters left: 4 (101 enodes) 145.312 * * [simplify]: iters left: 3 (156 enodes) 145.371 * * [simplify]: iters left: 2 (296 enodes) 145.482 * * [simplify]: Extracting #0: cost 1 inf + 0 145.482 * * [simplify]: Extracting #1: cost 50 inf + 0 145.483 * * [simplify]: Extracting #2: cost 127 inf + 1 145.484 * * [simplify]: Extracting #3: cost 176 inf + 3 145.486 * * [simplify]: Extracting #4: cost 172 inf + 795 145.489 * * [simplify]: Extracting #5: cost 125 inf + 11000 145.500 * * [simplify]: Extracting #6: cost 59 inf + 41038 145.522 * * [simplify]: Extracting #7: cost 2 inf + 88087 145.534 * * [simplify]: Extracting #8: cost 0 inf + 90192 145.547 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt (cbrt k))) 145.547 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 145.547 * * * * [progress]: [ 237 / 315 ] simplifiying candidate # 145.547 * [simplify]: Simplifying (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 145.547 * * [simplify]: iters left: 6 (16 enodes) 145.556 * * [simplify]: iters left: 5 (69 enodes) 145.579 * * [simplify]: iters left: 4 (111 enodes) 145.602 * * [simplify]: iters left: 3 (178 enodes) 145.664 * * [simplify]: iters left: 2 (351 enodes) 145.791 * * [simplify]: Extracting #0: cost 1 inf + 0 145.791 * * [simplify]: Extracting #1: cost 38 inf + 0 145.792 * * [simplify]: Extracting #2: cost 117 inf + 1 145.793 * * [simplify]: Extracting #3: cost 174 inf + 3 145.794 * * [simplify]: Extracting #4: cost 172 inf + 960 145.798 * * [simplify]: Extracting #5: cost 119 inf + 11373 145.819 * * [simplify]: Extracting #6: cost 39 inf + 51012 145.847 * * [simplify]: Extracting #7: cost 1 inf + 79527 145.877 * * [simplify]: Extracting #8: cost 0 inf + 79052 145.899 * [simplify]: Simplified to (/ (pow (* (* n 2) PI) (/ (- 1 k) 4)) (fabs (cbrt k))) 145.899 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* n 2) PI) (/ (- 1 k) 4)) (fabs (cbrt k))) (/ 1 (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 145.899 * [simplify]: Simplifying (/ 1 (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 145.899 * * [simplify]: iters left: 6 (15 enodes) 145.904 * * [simplify]: iters left: 5 (65 enodes) 145.914 * * [simplify]: iters left: 4 (107 enodes) 145.948 * * [simplify]: iters left: 3 (174 enodes) 146.011 * * [simplify]: iters left: 2 (348 enodes) 146.126 * * [simplify]: Extracting #0: cost 1 inf + 0 146.126 * * [simplify]: Extracting #1: cost 41 inf + 0 146.126 * * [simplify]: Extracting #2: cost 116 inf + 1 146.127 * * [simplify]: Extracting #3: cost 175 inf + 3 146.127 * * [simplify]: Extracting #4: cost 182 inf + 630 146.130 * * [simplify]: Extracting #5: cost 123 inf + 14089 146.140 * * [simplify]: Extracting #6: cost 61 inf + 38769 146.153 * * [simplify]: Extracting #7: cost 15 inf + 74641 146.169 * * [simplify]: Extracting #8: cost 0 inf + 87186 146.182 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (sqrt (cbrt k))) 146.182 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (sqrt (cbrt k))))) 146.182 * * * * [progress]: [ 238 / 315 ] simplifiying candidate # 146.182 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) 146.182 * * [simplify]: iters left: 6 (11 enodes) 146.186 * * [simplify]: iters left: 5 (46 enodes) 146.195 * * [simplify]: iters left: 4 (76 enodes) 146.215 * * [simplify]: iters left: 3 (131 enodes) 146.245 * * [simplify]: iters left: 2 (288 enodes) 146.357 * * [simplify]: Extracting #0: cost 1 inf + 0 146.357 * * [simplify]: Extracting #1: cost 48 inf + 0 146.357 * * [simplify]: Extracting #2: cost 125 inf + 1 146.358 * * [simplify]: Extracting #3: cost 169 inf + 4 146.360 * * [simplify]: Extracting #4: cost 164 inf + 1175 146.364 * * [simplify]: Extracting #5: cost 107 inf + 15397 146.378 * * [simplify]: Extracting #6: cost 13 inf + 64219 146.398 * * [simplify]: Extracting #7: cost 0 inf + 73684 146.417 * * [simplify]: Extracting #8: cost 0 inf + 73553 146.436 * [simplify]: Simplified to (/ (pow n (* 1/2 (- 1 k))) (sqrt (sqrt k))) 146.436 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (* 1/2 (- 1 k))) (sqrt (sqrt k))) (/ 1 (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 146.436 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 146.436 * * [simplify]: iters left: 6 (12 enodes) 146.440 * * [simplify]: iters left: 5 (50 enodes) 146.449 * * [simplify]: iters left: 4 (84 enodes) 146.467 * * [simplify]: iters left: 3 (138 enodes) 146.502 * * [simplify]: iters left: 2 (280 enodes) 146.591 * * [simplify]: Extracting #0: cost 1 inf + 0 146.592 * * [simplify]: Extracting #1: cost 49 inf + 0 146.592 * * [simplify]: Extracting #2: cost 133 inf + 1 146.593 * * [simplify]: Extracting #3: cost 177 inf + 3 146.595 * * [simplify]: Extracting #4: cost 172 inf + 882 146.597 * * [simplify]: Extracting #5: cost 132 inf + 7329 146.605 * * [simplify]: Extracting #6: cost 79 inf + 28320 146.623 * * [simplify]: Extracting #7: cost 14 inf + 73196 146.646 * * [simplify]: Extracting #8: cost 0 inf + 81582 146.668 * * [simplify]: Extracting #9: cost 0 inf + 81331 146.687 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 146.687 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 146.687 * * * * [progress]: [ 239 / 315 ] simplifiying candidate # 146.687 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 146.687 * * [simplify]: iters left: 6 (16 enodes) 146.692 * * [simplify]: iters left: 5 (67 enodes) 146.703 * * [simplify]: iters left: 4 (107 enodes) 146.726 * * [simplify]: iters left: 3 (155 enodes) 146.780 * * [simplify]: iters left: 2 (256 enodes) 146.868 * * [simplify]: iters left: 1 (415 enodes) 147.007 * * [simplify]: Extracting #0: cost 1 inf + 0 147.008 * * [simplify]: Extracting #1: cost 10 inf + 0 147.008 * * [simplify]: Extracting #2: cost 18 inf + 1 147.008 * * [simplify]: Extracting #3: cost 41 inf + 1 147.011 * * [simplify]: Extracting #4: cost 108 inf + 3 147.011 * * [simplify]: Extracting #5: cost 148 inf + 1085 147.014 * * [simplify]: Extracting #6: cost 76 inf + 16045 147.026 * * [simplify]: Extracting #7: cost 17 inf + 43834 147.043 * * [simplify]: Extracting #8: cost 0 inf + 57873 147.056 * * [simplify]: Extracting #9: cost 0 inf + 57675 147.065 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) (sqrt (sqrt k))) 147.065 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) (sqrt (sqrt k))) (/ 1 (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 147.065 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 147.065 * * [simplify]: iters left: 6 (15 enodes) 147.069 * * [simplify]: iters left: 5 (62 enodes) 147.079 * * [simplify]: iters left: 4 (96 enodes) 147.109 * * [simplify]: iters left: 3 (136 enodes) 147.159 * * [simplify]: iters left: 2 (234 enodes) 147.240 * * [simplify]: iters left: 1 (391 enodes) 147.387 * * [simplify]: Extracting #0: cost 1 inf + 0 147.387 * * [simplify]: Extracting #1: cost 7 inf + 0 147.387 * * [simplify]: Extracting #2: cost 12 inf + 1 147.387 * * [simplify]: Extracting #3: cost 37 inf + 1 147.388 * * [simplify]: Extracting #4: cost 108 inf + 3 147.389 * * [simplify]: Extracting #5: cost 156 inf + 671 147.393 * * [simplify]: Extracting #6: cost 93 inf + 12281 147.402 * * [simplify]: Extracting #7: cost 36 inf + 33360 147.419 * * [simplify]: Extracting #8: cost 2 inf + 61199 147.437 * * [simplify]: Extracting #9: cost 0 inf + 62442 147.455 * [simplify]: Simplified to (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))) 147.455 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))))) 147.456 * * * * [progress]: [ 240 / 315 ] simplifiying candidate # 147.456 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 147.456 * * [simplify]: iters left: 6 (15 enodes) 147.464 * * [simplify]: iters left: 5 (62 enodes) 147.486 * * [simplify]: iters left: 4 (97 enodes) 147.502 * * [simplify]: iters left: 3 (140 enodes) 147.527 * * [simplify]: iters left: 2 (244 enodes) 147.609 * * [simplify]: iters left: 1 (413 enodes) 147.747 * * [simplify]: Extracting #0: cost 1 inf + 0 147.747 * * [simplify]: Extracting #1: cost 7 inf + 0 147.747 * * [simplify]: Extracting #2: cost 13 inf + 1 147.747 * * [simplify]: Extracting #3: cost 40 inf + 1 147.748 * * [simplify]: Extracting #4: cost 126 inf + 3 147.750 * * [simplify]: Extracting #5: cost 165 inf + 800 147.754 * * [simplify]: Extracting #6: cost 104 inf + 10786 147.763 * * [simplify]: Extracting #7: cost 53 inf + 24890 147.779 * * [simplify]: Extracting #8: cost 15 inf + 54250 147.792 * * [simplify]: Extracting #9: cost 0 inf + 65764 147.803 * * [simplify]: Extracting #10: cost 0 inf + 65552 147.814 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 147.814 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 147.814 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 147.814 * * [simplify]: iters left: 6 (15 enodes) 147.818 * * [simplify]: iters left: 5 (62 enodes) 147.829 * * [simplify]: iters left: 4 (97 enodes) 147.844 * * [simplify]: iters left: 3 (140 enodes) 147.876 * * [simplify]: iters left: 2 (244 enodes) 147.961 * * [simplify]: iters left: 1 (413 enodes) 148.126 * * [simplify]: Extracting #0: cost 1 inf + 0 148.127 * * [simplify]: Extracting #1: cost 7 inf + 0 148.127 * * [simplify]: Extracting #2: cost 13 inf + 1 148.127 * * [simplify]: Extracting #3: cost 40 inf + 1 148.128 * * [simplify]: Extracting #4: cost 126 inf + 3 148.129 * * [simplify]: Extracting #5: cost 165 inf + 800 148.133 * * [simplify]: Extracting #6: cost 104 inf + 10786 148.143 * * [simplify]: Extracting #7: cost 53 inf + 24890 148.159 * * [simplify]: Extracting #8: cost 15 inf + 54250 148.180 * * [simplify]: Extracting #9: cost 0 inf + 65764 148.201 * * [simplify]: Extracting #10: cost 0 inf + 65552 148.221 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 148.221 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 148.221 * * * * [progress]: [ 241 / 315 ] simplifiying candidate # 148.222 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) 1)) 148.222 * * [simplify]: iters left: 6 (6 enodes) 148.225 * * [simplify]: iters left: 5 (20 enodes) 148.232 * * [simplify]: iters left: 4 (24 enodes) 148.241 * * [simplify]: Extracting #0: cost 1 inf + 0 148.241 * * [simplify]: Extracting #1: cost 4 inf + 0 148.241 * * [simplify]: Extracting #2: cost 5 inf + 1 148.241 * * [simplify]: Extracting #3: cost 7 inf + 1 148.241 * * [simplify]: Extracting #4: cost 6 inf + 2 148.241 * * [simplify]: Extracting #5: cost 0 inf + 490 148.241 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 148.241 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 148.241 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 148.241 * * [simplify]: iters left: 6 (14 enodes) 148.245 * * [simplify]: iters left: 5 (59 enodes) 148.256 * * [simplify]: iters left: 4 (101 enodes) 148.275 * * [simplify]: iters left: 3 (156 enodes) 148.331 * * [simplify]: iters left: 2 (296 enodes) 148.420 * * [simplify]: Extracting #0: cost 1 inf + 0 148.420 * * [simplify]: Extracting #1: cost 50 inf + 0 148.421 * * [simplify]: Extracting #2: cost 127 inf + 1 148.422 * * [simplify]: Extracting #3: cost 176 inf + 3 148.427 * * [simplify]: Extracting #4: cost 172 inf + 675 148.431 * * [simplify]: Extracting #5: cost 125 inf + 10440 148.442 * * [simplify]: Extracting #6: cost 59 inf + 39438 148.458 * * [simplify]: Extracting #7: cost 2 inf + 84967 148.471 * * [simplify]: Extracting #8: cost 0 inf + 86992 148.495 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 148.495 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 148.495 * * * * [progress]: [ 242 / 315 ] simplifiying candidate # 148.495 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 148.495 * * [simplify]: iters left: 6 (15 enodes) 148.504 * * [simplify]: iters left: 5 (65 enodes) 148.525 * * [simplify]: iters left: 4 (107 enodes) 148.547 * * [simplify]: iters left: 3 (174 enodes) 148.604 * * [simplify]: iters left: 2 (348 enodes) 148.732 * * [simplify]: Extracting #0: cost 1 inf + 0 148.733 * * [simplify]: Extracting #1: cost 41 inf + 0 148.733 * * [simplify]: Extracting #2: cost 116 inf + 1 148.734 * * [simplify]: Extracting #3: cost 175 inf + 3 148.736 * * [simplify]: Extracting #4: cost 182 inf + 510 148.740 * * [simplify]: Extracting #5: cost 123 inf + 13449 148.752 * * [simplify]: Extracting #6: cost 61 inf + 37289 148.772 * * [simplify]: Extracting #7: cost 15 inf + 72081 148.785 * * [simplify]: Extracting #8: cost 0 inf + 84226 148.798 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 148.798 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 148.798 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 148.799 * * [simplify]: iters left: 6 (15 enodes) 148.803 * * [simplify]: iters left: 5 (65 enodes) 148.815 * * [simplify]: iters left: 4 (107 enodes) 148.832 * * [simplify]: iters left: 3 (174 enodes) 148.873 * * [simplify]: iters left: 2 (348 enodes) 148.966 * * [simplify]: Extracting #0: cost 1 inf + 0 148.966 * * [simplify]: Extracting #1: cost 41 inf + 0 148.966 * * [simplify]: Extracting #2: cost 116 inf + 1 148.967 * * [simplify]: Extracting #3: cost 175 inf + 3 148.968 * * [simplify]: Extracting #4: cost 182 inf + 510 148.970 * * [simplify]: Extracting #5: cost 123 inf + 13449 148.980 * * [simplify]: Extracting #6: cost 61 inf + 37289 149.002 * * [simplify]: Extracting #7: cost 15 inf + 72081 149.028 * * [simplify]: Extracting #8: cost 0 inf + 84226 149.057 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 149.057 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))))) 149.057 * * * * [progress]: [ 243 / 315 ] simplifiying candidate # 149.057 * [simplify]: Simplifying (/ 1 (/ (sqrt 1) (pow n (/ (- 1 k) 2)))) 149.057 * * [simplify]: iters left: 6 (10 enodes) 149.064 * * [simplify]: iters left: 5 (43 enodes) 149.080 * * [simplify]: iters left: 4 (68 enodes) 149.101 * * [simplify]: iters left: 3 (111 enodes) 149.138 * * [simplify]: iters left: 2 (222 enodes) 149.193 * * [simplify]: iters left: 1 (461 enodes) 149.489 * * [simplify]: Extracting #0: cost 1 inf + 0 149.489 * * [simplify]: Extracting #1: cost 43 inf + 0 149.490 * * [simplify]: Extracting #2: cost 183 inf + 3 149.491 * * [simplify]: Extracting #3: cost 230 inf + 8 149.492 * * [simplify]: Extracting #4: cost 223 inf + 1179 149.497 * * [simplify]: Extracting #5: cost 130 inf + 29905 149.513 * * [simplify]: Extracting #6: cost 15 inf + 109342 149.533 * * [simplify]: Extracting #7: cost 0 inf + 116106 149.554 * * [simplify]: Extracting #8: cost 0 inf + 110756 149.588 * * [simplify]: Extracting #9: cost 0 inf + 109772 149.611 * [simplify]: Simplified to (pow n (- 1/2 (/ k 2))) 149.611 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ 1 (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 149.612 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 149.612 * * [simplify]: iters left: 6 (11 enodes) 149.618 * * [simplify]: iters left: 5 (47 enodes) 149.634 * * [simplify]: iters left: 4 (77 enodes) 149.660 * * [simplify]: iters left: 3 (132 enodes) 149.715 * * [simplify]: iters left: 2 (289 enodes) 149.789 * * [simplify]: Extracting #0: cost 1 inf + 0 149.789 * * [simplify]: Extracting #1: cost 41 inf + 0 149.789 * * [simplify]: Extracting #2: cost 121 inf + 1 149.790 * * [simplify]: Extracting #3: cost 164 inf + 168 149.790 * * [simplify]: Extracting #4: cost 158 inf + 1132 149.792 * * [simplify]: Extracting #5: cost 116 inf + 8728 149.797 * * [simplify]: Extracting #6: cost 47 inf + 46373 149.807 * * [simplify]: Extracting #7: cost 1 inf + 78071 149.817 * * [simplify]: Extracting #8: cost 0 inf + 77063 149.828 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 149.828 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 149.828 * * * * [progress]: [ 244 / 315 ] simplifiying candidate # 149.828 * [simplify]: Simplifying (/ 1 (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 149.828 * * [simplify]: iters left: 6 (15 enodes) 149.833 * * [simplify]: iters left: 5 (64 enodes) 149.844 * * [simplify]: iters left: 4 (106 enodes) 149.863 * * [simplify]: iters left: 3 (153 enodes) 149.898 * * [simplify]: iters left: 2 (231 enodes) 149.952 * * [simplify]: iters left: 1 (399 enodes) 150.131 * * [simplify]: Extracting #0: cost 1 inf + 0 150.131 * * [simplify]: Extracting #1: cost 6 inf + 0 150.131 * * [simplify]: Extracting #2: cost 9 inf + 1 150.131 * * [simplify]: Extracting #3: cost 33 inf + 1 150.131 * * [simplify]: Extracting #4: cost 105 inf + 2 150.132 * * [simplify]: Extracting #5: cost 154 inf + 176 150.133 * * [simplify]: Extracting #6: cost 153 inf + 436 150.134 * * [simplify]: Extracting #7: cost 119 inf + 6829 150.142 * * [simplify]: Extracting #8: cost 31 inf + 47776 150.155 * * [simplify]: Extracting #9: cost 2 inf + 61163 150.181 * * [simplify]: Extracting #10: cost 0 inf + 61979 150.207 * * [simplify]: Extracting #11: cost 0 inf + 61937 150.221 * [simplify]: Simplified to (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 150.221 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ 1 (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 150.221 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 150.221 * * [simplify]: iters left: 6 (14 enodes) 150.225 * * [simplify]: iters left: 5 (59 enodes) 150.236 * * [simplify]: iters left: 4 (97 enodes) 150.265 * * [simplify]: iters left: 3 (135 enodes) 150.288 * * [simplify]: iters left: 2 (215 enodes) 150.359 * * [simplify]: iters left: 1 (375 enodes) 150.503 * * [simplify]: Extracting #0: cost 1 inf + 0 150.503 * * [simplify]: Extracting #1: cost 7 inf + 0 150.503 * * [simplify]: Extracting #2: cost 12 inf + 1 150.503 * * [simplify]: Extracting #3: cost 35 inf + 2 150.504 * * [simplify]: Extracting #4: cost 110 inf + 167 150.505 * * [simplify]: Extracting #5: cost 154 inf + 465 150.509 * * [simplify]: Extracting #6: cost 105 inf + 7477 150.518 * * [simplify]: Extracting #7: cost 36 inf + 31362 150.535 * * [simplify]: Extracting #8: cost 2 inf + 59264 150.553 * * [simplify]: Extracting #9: cost 0 inf + 61311 150.571 * [simplify]: Simplified to (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt k)) 150.571 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt k)))) 150.571 * * * * [progress]: [ 245 / 315 ] simplifiying candidate # 150.572 * [simplify]: Simplifying (/ 1 (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 150.572 * * [simplify]: iters left: 6 (14 enodes) 150.581 * * [simplify]: iters left: 5 (59 enodes) 150.594 * * [simplify]: iters left: 4 (95 enodes) 150.608 * * [simplify]: iters left: 3 (135 enodes) 150.631 * * [simplify]: iters left: 2 (206 enodes) 150.669 * * [simplify]: iters left: 1 (372 enodes) 150.819 * * [simplify]: Extracting #0: cost 1 inf + 0 150.819 * * [simplify]: Extracting #1: cost 6 inf + 0 150.819 * * [simplify]: Extracting #2: cost 32 inf + 1 150.820 * * [simplify]: Extracting #3: cost 127 inf + 2 150.821 * * [simplify]: Extracting #4: cost 166 inf + 177 150.823 * * [simplify]: Extracting #5: cost 165 inf + 394 150.826 * * [simplify]: Extracting #6: cost 132 inf + 3381 150.832 * * [simplify]: Extracting #7: cost 74 inf + 13327 150.846 * * [simplify]: Extracting #8: cost 16 inf + 53953 150.867 * * [simplify]: Extracting #9: cost 0 inf + 67743 150.877 * * [simplify]: Extracting #10: cost 0 inf + 67198 150.887 * [simplify]: Simplified to (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 150.887 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 150.888 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 150.888 * * [simplify]: iters left: 6 (14 enodes) 150.892 * * [simplify]: iters left: 5 (59 enodes) 150.912 * * [simplify]: iters left: 4 (98 enodes) 150.942 * * [simplify]: iters left: 3 (136 enodes) 150.986 * * [simplify]: iters left: 2 (217 enodes) 151.045 * * [simplify]: iters left: 1 (385 enodes) 151.189 * * [simplify]: Extracting #0: cost 1 inf + 0 151.189 * * [simplify]: Extracting #1: cost 7 inf + 0 151.189 * * [simplify]: Extracting #2: cost 13 inf + 1 151.189 * * [simplify]: Extracting #3: cost 38 inf + 2 151.190 * * [simplify]: Extracting #4: cost 120 inf + 167 151.190 * * [simplify]: Extracting #5: cost 155 inf + 590 151.195 * * [simplify]: Extracting #6: cost 88 inf + 17426 151.206 * * [simplify]: Extracting #7: cost 7 inf + 57346 151.219 * * [simplify]: Extracting #8: cost 0 inf + 63036 151.233 * * [simplify]: Extracting #9: cost 0 inf + 62694 151.255 * * [simplify]: Extracting #10: cost 0 inf + 62574 151.276 * [simplify]: Simplified to (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt k)) 151.276 * [simplify]: Simplified (2 2) to (λ (k n) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt k)))) 151.277 * * * * [progress]: [ 246 / 315 ] simplifiying candidate # 151.277 * [simplify]: Simplifying (/ 1 (/ (sqrt 1) 1)) 151.277 * * [simplify]: iters left: 5 (4 enodes) 151.284 * * [simplify]: iters left: 4 (14 enodes) 151.287 * * [simplify]: iters left: 3 (16 enodes) 151.290 * * [simplify]: Extracting #0: cost 1 inf + 0 151.290 * * [simplify]: Extracting #1: cost 0 inf + 1 151.290 * [simplify]: Simplified to 1 151.290 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 151.290 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 151.290 * * [simplify]: iters left: 6 (13 enodes) 151.298 * * [simplify]: iters left: 5 (56 enodes) 151.317 * * [simplify]: iters left: 4 (98 enodes) 151.348 * * [simplify]: iters left: 3 (153 enodes) 151.408 * * [simplify]: iters left: 2 (293 enodes) 151.514 * * [simplify]: Extracting #0: cost 1 inf + 0 151.514 * * [simplify]: Extracting #1: cost 50 inf + 0 151.515 * * [simplify]: Extracting #2: cost 126 inf + 1 151.515 * * [simplify]: Extracting #3: cost 168 inf + 127 151.516 * * [simplify]: Extracting #4: cost 164 inf + 1004 151.518 * * [simplify]: Extracting #5: cost 108 inf + 17323 151.527 * * [simplify]: Extracting #6: cost 24 inf + 65407 151.545 * * [simplify]: Extracting #7: cost 0 inf + 83227 151.557 * [simplify]: Simplified to (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)) 151.557 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)))) 151.557 * * * * [progress]: [ 247 / 315 ] simplifiying candidate # 151.558 * [simplify]: Simplifying (/ 1 (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 151.558 * * [simplify]: iters left: 6 (14 enodes) 151.565 * * [simplify]: iters left: 5 (62 enodes) 151.580 * * [simplify]: iters left: 4 (105 enodes) 151.614 * * [simplify]: iters left: 3 (168 enodes) 151.646 * * [simplify]: iters left: 2 (298 enodes) 151.724 * * [simplify]: Extracting #0: cost 1 inf + 0 151.724 * * [simplify]: Extracting #1: cost 21 inf + 0 151.725 * * [simplify]: Extracting #2: cost 94 inf + 2 151.726 * * [simplify]: Extracting #3: cost 140 inf + 176 151.727 * * [simplify]: Extracting #4: cost 140 inf + 391 151.728 * * [simplify]: Extracting #5: cost 117 inf + 1925 151.732 * * [simplify]: Extracting #6: cost 72 inf + 8834 151.742 * * [simplify]: Extracting #7: cost 16 inf + 38166 151.754 * * [simplify]: Extracting #8: cost 0 inf + 49326 151.764 * * [simplify]: Extracting #9: cost 0 inf + 49246 151.771 * [simplify]: Simplified to (pow (* n (* 2 PI)) (/ (- 1 k) 4)) 151.771 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 4)) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 151.772 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 151.772 * * [simplify]: iters left: 6 (14 enodes) 151.776 * * [simplify]: iters left: 5 (62 enodes) 151.787 * * [simplify]: iters left: 4 (110 enodes) 151.807 * * [simplify]: iters left: 3 (185 enodes) 151.846 * * [simplify]: iters left: 2 (366 enodes) 151.969 * * [simplify]: Extracting #0: cost 1 inf + 0 151.969 * * [simplify]: Extracting #1: cost 51 inf + 0 151.969 * * [simplify]: Extracting #2: cost 132 inf + 1 151.971 * * [simplify]: Extracting #3: cost 187 inf + 127 151.973 * * [simplify]: Extracting #4: cost 176 inf + 1426 151.977 * * [simplify]: Extracting #5: cost 130 inf + 8691 151.990 * * [simplify]: Extracting #6: cost 53 inf + 49151 152.015 * * [simplify]: Extracting #7: cost 4 inf + 86082 152.041 * * [simplify]: Extracting #8: cost 0 inf + 87327 152.058 * * [simplify]: Extracting #9: cost 0 inf + 87195 152.072 * [simplify]: Simplified to (/ (pow (* n (* 2 PI)) (/ (- 1 k) 4)) (sqrt k)) 152.072 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 4)) (sqrt k)))) 152.072 * * * * [progress]: [ 248 / 315 ] simplifiying candidate # 152.073 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) 152.073 * * [simplify]: iters left: 6 (11 enodes) 152.077 * * [simplify]: iters left: 5 (46 enodes) 152.092 * * [simplify]: iters left: 4 (76 enodes) 152.119 * * [simplify]: iters left: 3 (131 enodes) 152.164 * * [simplify]: iters left: 2 (288 enodes) 152.261 * * [simplify]: Extracting #0: cost 1 inf + 0 152.262 * * [simplify]: Extracting #1: cost 48 inf + 0 152.262 * * [simplify]: Extracting #2: cost 125 inf + 1 152.263 * * [simplify]: Extracting #3: cost 169 inf + 4 152.265 * * [simplify]: Extracting #4: cost 164 inf + 1175 152.268 * * [simplify]: Extracting #5: cost 107 inf + 15397 152.283 * * [simplify]: Extracting #6: cost 13 inf + 64219 152.302 * * [simplify]: Extracting #7: cost 0 inf + 73684 152.321 * * [simplify]: Extracting #8: cost 0 inf + 73553 152.341 * [simplify]: Simplified to (/ (pow n (* 1/2 (- 1 k))) (sqrt (sqrt k))) 152.341 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (* 1/2 (- 1 k))) (sqrt (sqrt k))) (/ 1 (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 152.342 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 152.342 * * [simplify]: iters left: 6 (12 enodes) 152.349 * * [simplify]: iters left: 5 (50 enodes) 152.366 * * [simplify]: iters left: 4 (84 enodes) 152.397 * * [simplify]: iters left: 3 (138 enodes) 152.450 * * [simplify]: iters left: 2 (280 enodes) 152.554 * * [simplify]: Extracting #0: cost 1 inf + 0 152.554 * * [simplify]: Extracting #1: cost 49 inf + 0 152.555 * * [simplify]: Extracting #2: cost 133 inf + 1 152.556 * * [simplify]: Extracting #3: cost 177 inf + 3 152.557 * * [simplify]: Extracting #4: cost 172 inf + 882 152.560 * * [simplify]: Extracting #5: cost 132 inf + 7329 152.568 * * [simplify]: Extracting #6: cost 79 inf + 28320 152.576 * * [simplify]: Extracting #7: cost 14 inf + 73196 152.587 * * [simplify]: Extracting #8: cost 0 inf + 81582 152.601 * * [simplify]: Extracting #9: cost 0 inf + 81331 152.627 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 152.627 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 152.627 * * * * [progress]: [ 249 / 315 ] simplifiying candidate # 152.628 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 152.628 * * [simplify]: iters left: 6 (16 enodes) 152.637 * * [simplify]: iters left: 5 (67 enodes) 152.658 * * [simplify]: iters left: 4 (107 enodes) 152.683 * * [simplify]: iters left: 3 (155 enodes) 152.717 * * [simplify]: iters left: 2 (256 enodes) 152.806 * * [simplify]: iters left: 1 (415 enodes) 152.935 * * [simplify]: Extracting #0: cost 1 inf + 0 152.935 * * [simplify]: Extracting #1: cost 10 inf + 0 152.935 * * [simplify]: Extracting #2: cost 18 inf + 1 152.935 * * [simplify]: Extracting #3: cost 41 inf + 1 152.936 * * [simplify]: Extracting #4: cost 108 inf + 3 152.936 * * [simplify]: Extracting #5: cost 148 inf + 1085 152.939 * * [simplify]: Extracting #6: cost 76 inf + 16045 152.952 * * [simplify]: Extracting #7: cost 17 inf + 43834 152.962 * * [simplify]: Extracting #8: cost 0 inf + 57873 152.971 * * [simplify]: Extracting #9: cost 0 inf + 57675 152.980 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) (sqrt (sqrt k))) 152.980 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) (sqrt (sqrt k))) (/ 1 (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 152.980 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 152.980 * * [simplify]: iters left: 6 (15 enodes) 152.986 * * [simplify]: iters left: 5 (62 enodes) 153.003 * * [simplify]: iters left: 4 (96 enodes) 153.018 * * [simplify]: iters left: 3 (136 enodes) 153.058 * * [simplify]: iters left: 2 (234 enodes) 153.107 * * [simplify]: iters left: 1 (391 enodes) 153.254 * * [simplify]: Extracting #0: cost 1 inf + 0 153.254 * * [simplify]: Extracting #1: cost 7 inf + 0 153.254 * * [simplify]: Extracting #2: cost 12 inf + 1 153.254 * * [simplify]: Extracting #3: cost 37 inf + 1 153.255 * * [simplify]: Extracting #4: cost 108 inf + 3 153.256 * * [simplify]: Extracting #5: cost 156 inf + 671 153.260 * * [simplify]: Extracting #6: cost 93 inf + 12281 153.270 * * [simplify]: Extracting #7: cost 36 inf + 33360 153.287 * * [simplify]: Extracting #8: cost 2 inf + 61199 153.305 * * [simplify]: Extracting #9: cost 0 inf + 62442 153.321 * [simplify]: Simplified to (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))) 153.322 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))))) 153.322 * * * * [progress]: [ 250 / 315 ] simplifiying candidate # 153.322 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 153.322 * * [simplify]: iters left: 6 (15 enodes) 153.326 * * [simplify]: iters left: 5 (62 enodes) 153.339 * * [simplify]: iters left: 4 (97 enodes) 153.355 * * [simplify]: iters left: 3 (140 enodes) 153.404 * * [simplify]: iters left: 2 (244 enodes) 153.486 * * [simplify]: iters left: 1 (413 enodes) 153.615 * * [simplify]: Extracting #0: cost 1 inf + 0 153.615 * * [simplify]: Extracting #1: cost 7 inf + 0 153.615 * * [simplify]: Extracting #2: cost 13 inf + 1 153.615 * * [simplify]: Extracting #3: cost 40 inf + 1 153.616 * * [simplify]: Extracting #4: cost 126 inf + 3 153.618 * * [simplify]: Extracting #5: cost 165 inf + 800 153.622 * * [simplify]: Extracting #6: cost 104 inf + 10786 153.632 * * [simplify]: Extracting #7: cost 53 inf + 24890 153.646 * * [simplify]: Extracting #8: cost 15 inf + 54250 153.659 * * [simplify]: Extracting #9: cost 0 inf + 65764 153.669 * * [simplify]: Extracting #10: cost 0 inf + 65552 153.683 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 153.683 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 153.683 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 153.684 * * [simplify]: iters left: 6 (15 enodes) 153.692 * * [simplify]: iters left: 5 (62 enodes) 153.712 * * [simplify]: iters left: 4 (97 enodes) 153.734 * * [simplify]: iters left: 3 (140 enodes) 153.761 * * [simplify]: iters left: 2 (244 enodes) 153.842 * * [simplify]: iters left: 1 (413 enodes) 154.037 * * [simplify]: Extracting #0: cost 1 inf + 0 154.038 * * [simplify]: Extracting #1: cost 7 inf + 0 154.038 * * [simplify]: Extracting #2: cost 13 inf + 1 154.038 * * [simplify]: Extracting #3: cost 40 inf + 1 154.038 * * [simplify]: Extracting #4: cost 126 inf + 3 154.040 * * [simplify]: Extracting #5: cost 165 inf + 800 154.044 * * [simplify]: Extracting #6: cost 104 inf + 10786 154.054 * * [simplify]: Extracting #7: cost 53 inf + 24890 154.070 * * [simplify]: Extracting #8: cost 15 inf + 54250 154.091 * * [simplify]: Extracting #9: cost 0 inf + 65764 154.112 * * [simplify]: Extracting #10: cost 0 inf + 65552 154.122 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 154.122 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 154.122 * * * * [progress]: [ 251 / 315 ] simplifiying candidate # 154.122 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) 1)) 154.122 * * [simplify]: iters left: 6 (6 enodes) 154.124 * * [simplify]: iters left: 5 (20 enodes) 154.128 * * [simplify]: iters left: 4 (24 enodes) 154.133 * * [simplify]: Extracting #0: cost 1 inf + 0 154.133 * * [simplify]: Extracting #1: cost 4 inf + 0 154.133 * * [simplify]: Extracting #2: cost 5 inf + 1 154.133 * * [simplify]: Extracting #3: cost 7 inf + 1 154.133 * * [simplify]: Extracting #4: cost 6 inf + 2 154.133 * * [simplify]: Extracting #5: cost 0 inf + 490 154.133 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 154.134 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 154.134 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 154.134 * * [simplify]: iters left: 6 (14 enodes) 154.138 * * [simplify]: iters left: 5 (59 enodes) 154.156 * * [simplify]: iters left: 4 (101 enodes) 154.183 * * [simplify]: iters left: 3 (156 enodes) 154.220 * * [simplify]: iters left: 2 (296 enodes) 154.330 * * [simplify]: Extracting #0: cost 1 inf + 0 154.330 * * [simplify]: Extracting #1: cost 50 inf + 0 154.331 * * [simplify]: Extracting #2: cost 127 inf + 1 154.334 * * [simplify]: Extracting #3: cost 176 inf + 3 154.336 * * [simplify]: Extracting #4: cost 172 inf + 675 154.339 * * [simplify]: Extracting #5: cost 125 inf + 10440 154.350 * * [simplify]: Extracting #6: cost 59 inf + 39438 154.373 * * [simplify]: Extracting #7: cost 2 inf + 84967 154.398 * * [simplify]: Extracting #8: cost 0 inf + 86992 154.424 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 154.424 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 154.424 * * * * [progress]: [ 252 / 315 ] simplifiying candidate # 154.424 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 154.424 * * [simplify]: iters left: 6 (15 enodes) 154.433 * * [simplify]: iters left: 5 (65 enodes) 154.454 * * [simplify]: iters left: 4 (107 enodes) 154.490 * * [simplify]: iters left: 3 (174 enodes) 154.527 * * [simplify]: iters left: 2 (348 enodes) 154.641 * * [simplify]: Extracting #0: cost 1 inf + 0 154.641 * * [simplify]: Extracting #1: cost 41 inf + 0 154.641 * * [simplify]: Extracting #2: cost 116 inf + 1 154.642 * * [simplify]: Extracting #3: cost 175 inf + 3 154.642 * * [simplify]: Extracting #4: cost 182 inf + 510 154.645 * * [simplify]: Extracting #5: cost 123 inf + 13449 154.653 * * [simplify]: Extracting #6: cost 61 inf + 37289 154.680 * * [simplify]: Extracting #7: cost 15 inf + 72081 154.696 * * [simplify]: Extracting #8: cost 0 inf + 84226 154.709 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 154.709 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 154.709 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 154.710 * * [simplify]: iters left: 6 (15 enodes) 154.714 * * [simplify]: iters left: 5 (65 enodes) 154.725 * * [simplify]: iters left: 4 (107 enodes) 154.743 * * [simplify]: iters left: 3 (174 enodes) 154.787 * * [simplify]: iters left: 2 (348 enodes) 154.914 * * [simplify]: Extracting #0: cost 1 inf + 0 154.914 * * [simplify]: Extracting #1: cost 41 inf + 0 154.915 * * [simplify]: Extracting #2: cost 116 inf + 1 154.916 * * [simplify]: Extracting #3: cost 175 inf + 3 154.918 * * [simplify]: Extracting #4: cost 182 inf + 510 154.922 * * [simplify]: Extracting #5: cost 123 inf + 13449 154.930 * * [simplify]: Extracting #6: cost 61 inf + 37289 154.941 * * [simplify]: Extracting #7: cost 15 inf + 72081 154.954 * * [simplify]: Extracting #8: cost 0 inf + 84226 154.979 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 154.979 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))))) 154.979 * * * * [progress]: [ 253 / 315 ] simplifiying candidate # 154.979 * [simplify]: Simplifying (/ 1 (/ 1 (pow n (/ (- 1 k) 2)))) 154.979 * * [simplify]: iters left: 6 (9 enodes) 154.983 * * [simplify]: iters left: 5 (38 enodes) 154.990 * * [simplify]: iters left: 4 (66 enodes) 155.001 * * [simplify]: iters left: 3 (111 enodes) 155.026 * * [simplify]: iters left: 2 (214 enodes) 155.088 * * [simplify]: iters left: 1 (483 enodes) 155.509 * * [simplify]: Extracting #0: cost 1 inf + 0 155.510 * * [simplify]: Extracting #1: cost 65 inf + 0 155.511 * * [simplify]: Extracting #2: cost 259 inf + 3 155.514 * * [simplify]: Extracting #3: cost 326 inf + 7 155.518 * * [simplify]: Extracting #4: cost 295 inf + 4594 155.529 * * [simplify]: Extracting #5: cost 198 inf + 38568 155.571 * * [simplify]: Extracting #6: cost 48 inf + 139744 155.613 * * [simplify]: Extracting #7: cost 0 inf + 174632 155.675 * * [simplify]: Extracting #8: cost 0 inf + 174167 155.739 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 155.739 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ 1 (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 155.740 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 155.740 * * [simplify]: iters left: 6 (11 enodes) 155.747 * * [simplify]: iters left: 5 (47 enodes) 155.764 * * [simplify]: iters left: 4 (77 enodes) 155.790 * * [simplify]: iters left: 3 (132 enodes) 155.832 * * [simplify]: iters left: 2 (289 enodes) 155.942 * * [simplify]: Extracting #0: cost 1 inf + 0 155.942 * * [simplify]: Extracting #1: cost 41 inf + 0 155.943 * * [simplify]: Extracting #2: cost 121 inf + 1 155.944 * * [simplify]: Extracting #3: cost 164 inf + 168 155.945 * * [simplify]: Extracting #4: cost 158 inf + 1132 155.949 * * [simplify]: Extracting #5: cost 116 inf + 8728 155.959 * * [simplify]: Extracting #6: cost 47 inf + 46373 155.978 * * [simplify]: Extracting #7: cost 1 inf + 78071 155.991 * * [simplify]: Extracting #8: cost 0 inf + 77063 156.002 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 156.002 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 156.002 * * * * [progress]: [ 254 / 315 ] simplifiying candidate # 156.002 * [simplify]: Simplifying (/ 1 (/ 1 (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 156.002 * * [simplify]: iters left: 6 (14 enodes) 156.007 * * [simplify]: iters left: 5 (59 enodes) 156.017 * * [simplify]: iters left: 4 (97 enodes) 156.051 * * [simplify]: iters left: 3 (146 enodes) 156.098 * * [simplify]: iters left: 2 (228 enodes) 156.157 * * [simplify]: iters left: 1 (390 enodes) 156.302 * * [simplify]: Extracting #0: cost 1 inf + 0 156.303 * * [simplify]: Extracting #1: cost 6 inf + 0 156.303 * * [simplify]: Extracting #2: cost 9 inf + 1 156.303 * * [simplify]: Extracting #3: cost 33 inf + 1 156.303 * * [simplify]: Extracting #4: cost 105 inf + 2 156.304 * * [simplify]: Extracting #5: cost 151 inf + 218 156.305 * * [simplify]: Extracting #6: cost 150 inf + 478 156.307 * * [simplify]: Extracting #7: cost 74 inf + 15324 156.314 * * [simplify]: Extracting #8: cost 15 inf + 49940 156.323 * * [simplify]: Extracting #9: cost 1 inf + 61712 156.340 * * [simplify]: Extracting #10: cost 0 inf + 62247 156.359 * [simplify]: Simplified to (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 156.359 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ 1 (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 156.360 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 156.360 * * [simplify]: iters left: 6 (14 enodes) 156.368 * * [simplify]: iters left: 5 (59 enodes) 156.384 * * [simplify]: iters left: 4 (97 enodes) 156.399 * * [simplify]: iters left: 3 (135 enodes) 156.438 * * [simplify]: iters left: 2 (215 enodes) 156.493 * * [simplify]: iters left: 1 (375 enodes) 156.619 * * [simplify]: Extracting #0: cost 1 inf + 0 156.619 * * [simplify]: Extracting #1: cost 7 inf + 0 156.619 * * [simplify]: Extracting #2: cost 12 inf + 1 156.619 * * [simplify]: Extracting #3: cost 35 inf + 2 156.619 * * [simplify]: Extracting #4: cost 110 inf + 167 156.620 * * [simplify]: Extracting #5: cost 154 inf + 465 156.622 * * [simplify]: Extracting #6: cost 105 inf + 7477 156.630 * * [simplify]: Extracting #7: cost 36 inf + 31362 156.641 * * [simplify]: Extracting #8: cost 2 inf + 59264 156.659 * * [simplify]: Extracting #9: cost 0 inf + 61311 156.677 * [simplify]: Simplified to (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt k)) 156.677 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt k)))) 156.677 * * * * [progress]: [ 255 / 315 ] simplifiying candidate # 156.678 * [simplify]: Simplifying (/ 1 (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 156.678 * * [simplify]: iters left: 6 (13 enodes) 156.683 * * [simplify]: iters left: 5 (54 enodes) 156.692 * * [simplify]: iters left: 4 (89 enodes) 156.706 * * [simplify]: iters left: 3 (129 enodes) 156.737 * * [simplify]: iters left: 2 (197 enodes) 156.788 * * [simplify]: iters left: 1 (362 enodes) 156.912 * * [simplify]: Extracting #0: cost 1 inf + 0 156.912 * * [simplify]: Extracting #1: cost 6 inf + 0 156.912 * * [simplify]: Extracting #2: cost 30 inf + 1 156.913 * * [simplify]: Extracting #3: cost 111 inf + 2 156.914 * * [simplify]: Extracting #4: cost 149 inf + 177 156.916 * * [simplify]: Extracting #5: cost 141 inf + 850 156.920 * * [simplify]: Extracting #6: cost 75 inf + 10100 156.933 * * [simplify]: Extracting #7: cost 16 inf + 44074 156.951 * * [simplify]: Extracting #8: cost 0 inf + 56275 156.963 * * [simplify]: Extracting #9: cost 0 inf + 54347 156.973 * [simplify]: Simplified to (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) 156.973 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (/ 1 (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 156.973 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 156.973 * * [simplify]: iters left: 6 (14 enodes) 156.977 * * [simplify]: iters left: 5 (59 enodes) 156.987 * * [simplify]: iters left: 4 (98 enodes) 157.018 * * [simplify]: iters left: 3 (136 enodes) 157.055 * * [simplify]: iters left: 2 (217 enodes) 157.096 * * [simplify]: iters left: 1 (385 enodes) 157.243 * * [simplify]: Extracting #0: cost 1 inf + 0 157.243 * * [simplify]: Extracting #1: cost 7 inf + 0 157.243 * * [simplify]: Extracting #2: cost 13 inf + 1 157.243 * * [simplify]: Extracting #3: cost 38 inf + 2 157.244 * * [simplify]: Extracting #4: cost 120 inf + 167 157.245 * * [simplify]: Extracting #5: cost 155 inf + 590 157.247 * * [simplify]: Extracting #6: cost 88 inf + 17426 157.256 * * [simplify]: Extracting #7: cost 7 inf + 57346 157.266 * * [simplify]: Extracting #8: cost 0 inf + 63036 157.287 * * [simplify]: Extracting #9: cost 0 inf + 62694 157.308 * * [simplify]: Extracting #10: cost 0 inf + 62574 157.319 * [simplify]: Simplified to (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt k)) 157.319 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt k)))) 157.319 * * * * [progress]: [ 256 / 315 ] simplifiying candidate # 157.319 * [simplify]: Simplifying (/ 1 (/ 1 1)) 157.319 * * [simplify]: iters left: 4 (3 enodes) 157.320 * * [simplify]: iters left: 3 (7 enodes) 157.322 * * [simplify]: iters left: 2 (9 enodes) 157.323 * * [simplify]: Extracting #0: cost 1 inf + 0 157.323 * * [simplify]: Extracting #1: cost 0 inf + 1 157.323 * [simplify]: Simplified to 1 157.323 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 157.323 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 157.324 * * [simplify]: iters left: 6 (13 enodes) 157.327 * * [simplify]: iters left: 5 (56 enodes) 157.341 * * [simplify]: iters left: 4 (98 enodes) 157.369 * * [simplify]: iters left: 3 (153 enodes) 157.406 * * [simplify]: iters left: 2 (293 enodes) 157.512 * * [simplify]: Extracting #0: cost 1 inf + 0 157.513 * * [simplify]: Extracting #1: cost 50 inf + 0 157.513 * * [simplify]: Extracting #2: cost 126 inf + 1 157.514 * * [simplify]: Extracting #3: cost 168 inf + 127 157.516 * * [simplify]: Extracting #4: cost 164 inf + 1004 157.521 * * [simplify]: Extracting #5: cost 108 inf + 17323 157.540 * * [simplify]: Extracting #6: cost 24 inf + 65407 157.551 * * [simplify]: Extracting #7: cost 0 inf + 83227 157.567 * [simplify]: Simplified to (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)) 157.568 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)))) 157.568 * * * * [progress]: [ 257 / 315 ] simplifiying candidate # 157.568 * [simplify]: Simplifying (/ 1 (/ 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 157.568 * * [simplify]: iters left: 6 (13 enodes) 157.577 * * [simplify]: iters left: 5 (57 enodes) 157.595 * * [simplify]: iters left: 4 (96 enodes) 157.631 * * [simplify]: iters left: 3 (158 enodes) 157.689 * * [simplify]: iters left: 2 (309 enodes) 157.790 * * [simplify]: Extracting #0: cost 1 inf + 0 157.790 * * [simplify]: Extracting #1: cost 29 inf + 0 157.790 * * [simplify]: Extracting #2: cost 98 inf + 2 157.791 * * [simplify]: Extracting #3: cost 147 inf + 301 157.793 * * [simplify]: Extracting #4: cost 145 inf + 807 157.797 * * [simplify]: Extracting #5: cost 81 inf + 14519 157.811 * * [simplify]: Extracting #6: cost 8 inf + 55706 157.829 * * [simplify]: Extracting #7: cost 0 inf + 61436 157.847 * * [simplify]: Extracting #8: cost 0 inf + 61356 157.863 * [simplify]: Simplified to (pow (* (* 2 n) PI) (/ (- 1 k) 4)) 157.863 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* 2 n) PI) (/ (- 1 k) 4)) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 157.864 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 157.864 * * [simplify]: iters left: 6 (14 enodes) 157.872 * * [simplify]: iters left: 5 (62 enodes) 157.896 * * [simplify]: iters left: 4 (110 enodes) 157.935 * * [simplify]: iters left: 3 (185 enodes) 158.006 * * [simplify]: iters left: 2 (366 enodes) 158.163 * * [simplify]: Extracting #0: cost 1 inf + 0 158.163 * * [simplify]: Extracting #1: cost 51 inf + 0 158.163 * * [simplify]: Extracting #2: cost 132 inf + 1 158.164 * * [simplify]: Extracting #3: cost 187 inf + 127 158.165 * * [simplify]: Extracting #4: cost 176 inf + 1426 158.167 * * [simplify]: Extracting #5: cost 130 inf + 8691 158.174 * * [simplify]: Extracting #6: cost 53 inf + 49151 158.189 * * [simplify]: Extracting #7: cost 4 inf + 86082 158.216 * * [simplify]: Extracting #8: cost 0 inf + 87327 158.239 * * [simplify]: Extracting #9: cost 0 inf + 87195 158.255 * [simplify]: Simplified to (/ (pow (* n (* 2 PI)) (/ (- 1 k) 4)) (sqrt k)) 158.255 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 4)) (sqrt k)))) 158.255 * * * * [progress]: [ 258 / 315 ] simplifiying candidate # 158.256 * [simplify]: Simplifying (/ 1 1) 158.256 * * [simplify]: iters left: 2 (2 enodes) 158.257 * * [simplify]: iters left: 1 (6 enodes) 158.258 * * [simplify]: Extracting #0: cost 1 inf + 0 158.258 * * [simplify]: Extracting #1: cost 0 inf + 1 158.258 * [simplify]: Simplified to 1 158.258 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 158.258 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 158.258 * * [simplify]: iters left: 6 (13 enodes) 158.262 * * [simplify]: iters left: 5 (56 enodes) 158.273 * * [simplify]: iters left: 4 (98 enodes) 158.299 * * [simplify]: iters left: 3 (153 enodes) 158.331 * * [simplify]: iters left: 2 (293 enodes) 158.442 * * [simplify]: Extracting #0: cost 1 inf + 0 158.442 * * [simplify]: Extracting #1: cost 50 inf + 0 158.443 * * [simplify]: Extracting #2: cost 126 inf + 1 158.444 * * [simplify]: Extracting #3: cost 168 inf + 127 158.449 * * [simplify]: Extracting #4: cost 164 inf + 1004 158.453 * * [simplify]: Extracting #5: cost 108 inf + 17323 158.472 * * [simplify]: Extracting #6: cost 24 inf + 65407 158.486 * * [simplify]: Extracting #7: cost 0 inf + 83227 158.498 * [simplify]: Simplified to (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)) 158.498 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)))) 158.498 * * * * [progress]: [ 259 / 315 ] simplifiying candidate # 158.498 * [simplify]: Simplifying (/ 1 (sqrt k)) 158.498 * * [simplify]: iters left: 3 (4 enodes) 158.500 * * [simplify]: iters left: 2 (14 enodes) 158.502 * * [simplify]: iters left: 1 (16 enodes) 158.506 * * [simplify]: Extracting #0: cost 1 inf + 0 158.506 * * [simplify]: Extracting #1: cost 4 inf + 0 158.506 * * [simplify]: Extracting #2: cost 5 inf + 1 158.506 * * [simplify]: Extracting #3: cost 3 inf + 43 158.506 * * [simplify]: Extracting #4: cost 1 inf + 166 158.506 * * [simplify]: Extracting #5: cost 0 inf + 248 158.506 * [simplify]: Simplified to (/ 1 (sqrt k)) 158.506 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ 1 (/ 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 158.507 * [simplify]: Simplifying (/ 1 (/ 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 158.507 * * [simplify]: iters left: 6 (12 enodes) 158.514 * * [simplify]: iters left: 5 (51 enodes) 158.526 * * [simplify]: iters left: 4 (87 enodes) 158.540 * * [simplify]: iters left: 3 (138 enodes) 158.573 * * [simplify]: iters left: 2 (241 enodes) 158.632 * * [simplify]: Extracting #0: cost 1 inf + 0 158.632 * * [simplify]: Extracting #1: cost 30 inf + 0 158.633 * * [simplify]: Extracting #2: cost 91 inf + 2 158.635 * * [simplify]: Extracting #3: cost 132 inf + 174 158.636 * * [simplify]: Extracting #4: cost 123 inf + 597 158.638 * * [simplify]: Extracting #5: cost 88 inf + 4440 158.643 * * [simplify]: Extracting #6: cost 61 inf + 13805 158.656 * * [simplify]: Extracting #7: cost 11 inf + 48911 158.671 * * [simplify]: Extracting #8: cost 0 inf + 57402 158.680 * [simplify]: Simplified to (pow (* (* 2 n) PI) (/ (- 1 k) 2)) 158.680 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 n) PI) (/ (- 1 k) 2)))) 158.680 * * * * [progress]: [ 260 / 315 ] simplifiying candidate # 158.680 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ 1 2)))) 158.680 * * [simplify]: iters left: 6 (12 enodes) 158.684 * * [simplify]: iters left: 5 (48 enodes) 158.693 * * [simplify]: iters left: 4 (83 enodes) 158.717 * * [simplify]: iters left: 3 (143 enodes) 158.759 * * [simplify]: iters left: 2 (290 enodes) 158.887 * * [simplify]: Extracting #0: cost 1 inf + 0 158.887 * * [simplify]: Extracting #1: cost 38 inf + 0 158.888 * * [simplify]: Extracting #2: cost 104 inf + 1 158.888 * * [simplify]: Extracting #3: cost 103 inf + 255 158.889 * * [simplify]: Extracting #4: cost 97 inf + 591 158.890 * * [simplify]: Extracting #5: cost 71 inf + 9040 158.894 * * [simplify]: Extracting #6: cost 6 inf + 46887 158.906 * * [simplify]: Extracting #7: cost 0 inf + 51156 158.918 * [simplify]: Simplified to (/ (sqrt (* n (* 2 PI))) (sqrt k)) 158.918 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n (* 2 PI))) (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (/ k 2))))) 158.918 * [simplify]: Simplifying (/ 1 (pow (* n (* 2 PI)) (/ k 2))) 158.918 * * [simplify]: iters left: 6 (10 enodes) 158.927 * * [simplify]: iters left: 5 (39 enodes) 158.939 * * [simplify]: iters left: 4 (63 enodes) 158.959 * * [simplify]: iters left: 3 (98 enodes) 158.977 * * [simplify]: iters left: 2 (168 enodes) 159.017 * * [simplify]: iters left: 1 (314 enodes) 159.180 * * [simplify]: Extracting #0: cost 1 inf + 0 159.180 * * [simplify]: Extracting #1: cost 6 inf + 0 159.180 * * [simplify]: Extracting #2: cost 36 inf + 1 159.181 * * [simplify]: Extracting #3: cost 123 inf + 2 159.182 * * [simplify]: Extracting #4: cost 145 inf + 218 159.184 * * [simplify]: Extracting #5: cost 110 inf + 2802 159.188 * * [simplify]: Extracting #6: cost 71 inf + 13410 159.201 * * [simplify]: Extracting #7: cost 13 inf + 54153 159.220 * * [simplify]: Extracting #8: cost 0 inf + 62461 159.237 * * [simplify]: Extracting #9: cost 0 inf + 61778 159.247 * [simplify]: Simplified to (/ 1 (pow (* n (* 2 PI)) (* 1/2 k))) 159.248 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n (* 2 PI))) (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (* 1/2 k))))) 159.248 * * * * [progress]: [ 261 / 315 ] simplifiying candidate # 159.248 * * * * [progress]: [ 262 / 315 ] simplifiying candidate # 159.248 * * * * [progress]: [ 263 / 315 ] simplifiying candidate # 159.248 * * * * [progress]: [ 264 / 315 ] simplifiying candidate # 159.248 * [simplify]: Simplifying (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 159.248 * * [simplify]: iters left: 6 (13 enodes) 159.252 * * [simplify]: iters left: 5 (54 enodes) 159.262 * * [simplify]: iters left: 4 (89 enodes) 159.282 * * [simplify]: iters left: 3 (133 enodes) 159.317 * * [simplify]: iters left: 2 (208 enodes) 159.361 * * [simplify]: iters left: 1 (374 enodes) 159.481 * * [simplify]: Extracting #0: cost 1 inf + 0 159.481 * * [simplify]: Extracting #1: cost 3 inf + 0 159.481 * * [simplify]: Extracting #2: cost 8 inf + 0 159.481 * * [simplify]: Extracting #3: cost 39 inf + 0 159.482 * * [simplify]: Extracting #4: cost 123 inf + 43 159.482 * * [simplify]: Extracting #5: cost 156 inf + 344 159.484 * * [simplify]: Extracting #6: cost 105 inf + 7718 159.489 * * [simplify]: Extracting #7: cost 41 inf + 34647 159.500 * * [simplify]: Extracting #8: cost 0 inf + 70554 159.518 * * [simplify]: Extracting #9: cost 0 inf + 69960 159.539 * [simplify]: Simplified to (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 159.540 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 159.540 * * * * [progress]: [ 265 / 315 ] simplifiying candidate # 159.540 * [simplify]: Simplifying (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 159.540 * * [simplify]: iters left: 6 (13 enodes) 159.548 * * [simplify]: iters left: 5 (54 enodes) 159.563 * * [simplify]: iters left: 4 (89 enodes) 159.577 * * [simplify]: iters left: 3 (133 enodes) 159.608 * * [simplify]: iters left: 2 (208 enodes) 159.663 * * [simplify]: iters left: 1 (374 enodes) 159.821 * * [simplify]: Extracting #0: cost 1 inf + 0 159.821 * * [simplify]: Extracting #1: cost 3 inf + 0 159.822 * * [simplify]: Extracting #2: cost 8 inf + 0 159.822 * * [simplify]: Extracting #3: cost 39 inf + 0 159.822 * * [simplify]: Extracting #4: cost 123 inf + 43 159.824 * * [simplify]: Extracting #5: cost 156 inf + 344 159.827 * * [simplify]: Extracting #6: cost 105 inf + 7718 159.838 * * [simplify]: Extracting #7: cost 41 inf + 34567 159.858 * * [simplify]: Extracting #8: cost 0 inf + 70474 159.882 * * [simplify]: Extracting #9: cost 0 inf + 69880 159.904 * [simplify]: Simplified to (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 159.904 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 159.904 * * * * [progress]: [ 266 / 315 ] simplifiying candidate # 159.904 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) 159.904 * * [simplify]: iters left: 6 (11 enodes) 159.911 * * [simplify]: iters left: 5 (45 enodes) 159.926 * * [simplify]: iters left: 4 (68 enodes) 159.942 * * [simplify]: iters left: 3 (108 enodes) 159.963 * * [simplify]: iters left: 2 (205 enodes) 160.016 * * [simplify]: iters left: 1 (386 enodes) 160.153 * * [simplify]: Extracting #0: cost 1 inf + 0 160.153 * * [simplify]: Extracting #1: cost 6 inf + 0 160.153 * * [simplify]: Extracting #2: cost 36 inf + 0 160.154 * * [simplify]: Extracting #3: cost 122 inf + 1 160.154 * * [simplify]: Extracting #4: cost 156 inf + 1084 160.157 * * [simplify]: Extracting #5: cost 92 inf + 19572 160.169 * * [simplify]: Extracting #6: cost 25 inf + 52933 160.193 * * [simplify]: Extracting #7: cost 0 inf + 71185 160.214 * * [simplify]: Extracting #8: cost 0 inf + 70923 160.235 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))) 160.235 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2)))) (/ (cbrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))))) 160.235 * * * * [progress]: [ 267 / 315 ] simplifiying candidate # 160.236 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 160.236 * * [simplify]: iters left: 6 (14 enodes) 160.242 * * [simplify]: iters left: 5 (57 enodes) 160.251 * * [simplify]: iters left: 4 (90 enodes) 160.266 * * [simplify]: iters left: 3 (126 enodes) 160.291 * * [simplify]: iters left: 2 (194 enodes) 160.354 * * [simplify]: iters left: 1 (356 enodes) 160.844 * * [simplify]: Extracting #0: cost 1 inf + 0 160.844 * * [simplify]: Extracting #1: cost 4 inf + 0 160.844 * * [simplify]: Extracting #2: cost 8 inf + 0 160.844 * * [simplify]: Extracting #3: cost 34 inf + 0 160.844 * * [simplify]: Extracting #4: cost 118 inf + 43 160.846 * * [simplify]: Extracting #5: cost 153 inf + 422 160.849 * * [simplify]: Extracting #6: cost 108 inf + 6596 160.855 * * [simplify]: Extracting #7: cost 62 inf + 18565 160.868 * * [simplify]: Extracting #8: cost 23 inf + 48640 160.877 * * [simplify]: Extracting #9: cost 0 inf + 68118 160.887 * * [simplify]: Extracting #10: cost 0 inf + 67780 160.897 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 160.898 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))))) 160.898 * * * * [progress]: [ 268 / 315 ] simplifiying candidate # 160.898 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 160.898 * * [simplify]: iters left: 6 (14 enodes) 160.906 * * [simplify]: iters left: 5 (57 enodes) 160.925 * * [simplify]: iters left: 4 (91 enodes) 160.952 * * [simplify]: iters left: 3 (127 enodes) 160.994 * * [simplify]: iters left: 2 (195 enodes) 161.041 * * [simplify]: iters left: 1 (361 enodes) 161.187 * * [simplify]: Extracting #0: cost 1 inf + 0 161.187 * * [simplify]: Extracting #1: cost 4 inf + 0 161.187 * * [simplify]: Extracting #2: cost 9 inf + 0 161.187 * * [simplify]: Extracting #3: cost 37 inf + 0 161.187 * * [simplify]: Extracting #4: cost 126 inf + 43 161.188 * * [simplify]: Extracting #5: cost 159 inf + 465 161.190 * * [simplify]: Extracting #6: cost 108 inf + 7630 161.196 * * [simplify]: Extracting #7: cost 48 inf + 28780 161.215 * * [simplify]: Extracting #8: cost 5 inf + 65583 161.234 * * [simplify]: Extracting #9: cost 0 inf + 66579 161.245 * * [simplify]: Extracting #10: cost 0 inf + 65928 161.262 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 161.263 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))))) 161.263 * * * * [progress]: [ 269 / 315 ] simplifiying candidate # 161.263 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 161.263 * * [simplify]: iters left: 6 (13 enodes) 161.271 * * [simplify]: iters left: 5 (54 enodes) 161.288 * * [simplify]: iters left: 4 (85 enodes) 161.307 * * [simplify]: iters left: 3 (127 enodes) 161.330 * * [simplify]: iters left: 2 (219 enodes) 161.411 * * [simplify]: iters left: 1 (391 enodes) 161.594 * * [simplify]: Extracting #0: cost 1 inf + 0 161.594 * * [simplify]: Extracting #1: cost 6 inf + 0 161.594 * * [simplify]: Extracting #2: cost 38 inf + 0 161.595 * * [simplify]: Extracting #3: cost 124 inf + 1 161.595 * * [simplify]: Extracting #4: cost 161 inf + 627 161.596 * * [simplify]: Extracting #5: cost 125 inf + 3411 161.601 * * [simplify]: Extracting #6: cost 63 inf + 27050 161.613 * * [simplify]: Extracting #7: cost 12 inf + 63415 161.628 * * [simplify]: Extracting #8: cost 0 inf + 72844 161.642 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))) 161.642 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))))) 161.642 * * * * [progress]: [ 270 / 315 ] simplifiying candidate # 161.643 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 161.643 * * [simplify]: iters left: 6 (14 enodes) 161.647 * * [simplify]: iters left: 5 (60 enodes) 161.657 * * [simplify]: iters left: 4 (98 enodes) 161.682 * * [simplify]: iters left: 3 (154 enodes) 161.713 * * [simplify]: iters left: 2 (277 enodes) 161.794 * * [simplify]: Extracting #0: cost 1 inf + 0 161.794 * * [simplify]: Extracting #1: cost 6 inf + 0 161.794 * * [simplify]: Extracting #2: cost 27 inf + 0 161.795 * * [simplify]: Extracting #3: cost 96 inf + 1 161.795 * * [simplify]: Extracting #4: cost 118 inf + 383 161.796 * * [simplify]: Extracting #5: cost 69 inf + 7980 161.799 * * [simplify]: Extracting #6: cost 30 inf + 15387 161.807 * * [simplify]: Extracting #7: cost 1 inf + 34479 161.818 * * [simplify]: Extracting #8: cost 0 inf + 35436 161.829 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (/ (- 1 k) 4))) 161.829 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (/ (- 1 k) 4))))) 161.829 * * * * [progress]: [ 271 / 315 ] simplifiying candidate # 161.829 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) 161.830 * * [simplify]: iters left: 6 (11 enodes) 161.834 * * [simplify]: iters left: 5 (45 enodes) 161.841 * * [simplify]: iters left: 4 (68 enodes) 161.852 * * [simplify]: iters left: 3 (108 enodes) 161.885 * * [simplify]: iters left: 2 (205 enodes) 161.937 * * [simplify]: iters left: 1 (386 enodes) 162.064 * * [simplify]: Extracting #0: cost 1 inf + 0 162.064 * * [simplify]: Extracting #1: cost 6 inf + 0 162.064 * * [simplify]: Extracting #2: cost 36 inf + 0 162.065 * * [simplify]: Extracting #3: cost 122 inf + 1 162.066 * * [simplify]: Extracting #4: cost 156 inf + 1164 162.071 * * [simplify]: Extracting #5: cost 92 inf + 19652 162.079 * * [simplify]: Extracting #6: cost 25 inf + 53013 162.092 * * [simplify]: Extracting #7: cost 0 inf + 71265 162.103 * * [simplify]: Extracting #8: cost 0 inf + 71003 162.123 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))) 162.123 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow n (/ (- 1 k) 2)))) (/ (sqrt (cbrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))))) 162.123 * * * * [progress]: [ 272 / 315 ] simplifiying candidate # 162.123 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 162.123 * * [simplify]: iters left: 6 (14 enodes) 162.130 * * [simplify]: iters left: 5 (57 enodes) 162.139 * * [simplify]: iters left: 4 (90 enodes) 162.153 * * [simplify]: iters left: 3 (126 enodes) 162.186 * * [simplify]: iters left: 2 (194 enodes) 162.229 * * [simplify]: iters left: 1 (356 enodes) 162.361 * * [simplify]: Extracting #0: cost 1 inf + 0 162.361 * * [simplify]: Extracting #1: cost 4 inf + 0 162.361 * * [simplify]: Extracting #2: cost 8 inf + 0 162.361 * * [simplify]: Extracting #3: cost 34 inf + 0 162.362 * * [simplify]: Extracting #4: cost 118 inf + 83 162.363 * * [simplify]: Extracting #5: cost 153 inf + 502 162.366 * * [simplify]: Extracting #6: cost 108 inf + 6676 162.373 * * [simplify]: Extracting #7: cost 62 inf + 18645 162.385 * * [simplify]: Extracting #8: cost 23 inf + 48720 162.396 * * [simplify]: Extracting #9: cost 0 inf + 68198 162.405 * * [simplify]: Extracting #10: cost 0 inf + 67860 162.415 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 162.415 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (sqrt (cbrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))))) 162.415 * * * * [progress]: [ 273 / 315 ] simplifiying candidate # 162.415 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 162.415 * * [simplify]: iters left: 6 (14 enodes) 162.423 * * [simplify]: iters left: 5 (57 enodes) 162.442 * * [simplify]: iters left: 4 (91 enodes) 162.470 * * [simplify]: iters left: 3 (127 enodes) 162.512 * * [simplify]: iters left: 2 (195 enodes) 162.553 * * [simplify]: iters left: 1 (361 enodes) 162.691 * * [simplify]: Extracting #0: cost 1 inf + 0 162.691 * * [simplify]: Extracting #1: cost 4 inf + 0 162.691 * * [simplify]: Extracting #2: cost 9 inf + 0 162.691 * * [simplify]: Extracting #3: cost 37 inf + 0 162.691 * * [simplify]: Extracting #4: cost 126 inf + 83 162.692 * * [simplify]: Extracting #5: cost 159 inf + 545 162.696 * * [simplify]: Extracting #6: cost 108 inf + 7710 162.706 * * [simplify]: Extracting #7: cost 48 inf + 28860 162.722 * * [simplify]: Extracting #8: cost 5 inf + 65663 162.733 * * [simplify]: Extracting #9: cost 0 inf + 66659 162.744 * * [simplify]: Extracting #10: cost 0 inf + 66008 162.760 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 162.760 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (cbrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))))) 162.760 * * * * [progress]: [ 274 / 315 ] simplifiying candidate # 162.760 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 162.761 * * [simplify]: iters left: 6 (13 enodes) 162.768 * * [simplify]: iters left: 5 (54 enodes) 162.779 * * [simplify]: iters left: 4 (85 enodes) 162.793 * * [simplify]: iters left: 3 (127 enodes) 162.815 * * [simplify]: iters left: 2 (219 enodes) 162.877 * * [simplify]: iters left: 1 (391 enodes) 163.054 * * [simplify]: Extracting #0: cost 1 inf + 0 163.054 * * [simplify]: Extracting #1: cost 6 inf + 0 163.054 * * [simplify]: Extracting #2: cost 38 inf + 0 163.055 * * [simplify]: Extracting #3: cost 124 inf + 1 163.056 * * [simplify]: Extracting #4: cost 161 inf + 707 163.059 * * [simplify]: Extracting #5: cost 125 inf + 3491 163.068 * * [simplify]: Extracting #6: cost 63 inf + 27130 163.091 * * [simplify]: Extracting #7: cost 12 inf + 63495 163.113 * * [simplify]: Extracting #8: cost 0 inf + 72924 163.135 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))) 163.135 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) 1)) (/ (sqrt (cbrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))))) 163.135 * * * * [progress]: [ 275 / 315 ] simplifiying candidate # 163.135 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 163.135 * * [simplify]: iters left: 6 (14 enodes) 163.144 * * [simplify]: iters left: 5 (60 enodes) 163.163 * * [simplify]: iters left: 4 (98 enodes) 163.196 * * [simplify]: iters left: 3 (154 enodes) 163.254 * * [simplify]: iters left: 2 (277 enodes) 163.323 * * [simplify]: Extracting #0: cost 1 inf + 0 163.323 * * [simplify]: Extracting #1: cost 6 inf + 0 163.323 * * [simplify]: Extracting #2: cost 27 inf + 0 163.323 * * [simplify]: Extracting #3: cost 96 inf + 1 163.324 * * [simplify]: Extracting #4: cost 118 inf + 423 163.325 * * [simplify]: Extracting #5: cost 69 inf + 8060 163.328 * * [simplify]: Extracting #6: cost 30 inf + 15467 163.334 * * [simplify]: Extracting #7: cost 1 inf + 34559 163.339 * * [simplify]: Extracting #8: cost 0 inf + 35516 163.345 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (pow (* (* n 2) PI) (/ (- 1 k) 4))) 163.345 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt (cbrt k)) (pow (* (* n 2) PI) (/ (- 1 k) 4))))) 163.346 * * * * [progress]: [ 276 / 315 ] simplifiying candidate # 163.346 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) 163.346 * * [simplify]: iters left: 6 (11 enodes) 163.352 * * [simplify]: iters left: 5 (45 enodes) 163.367 * * [simplify]: iters left: 4 (68 enodes) 163.390 * * [simplify]: iters left: 3 (108 enodes) 163.430 * * [simplify]: iters left: 2 (205 enodes) 163.486 * * [simplify]: iters left: 1 (386 enodes) 163.623 * * [simplify]: Extracting #0: cost 1 inf + 0 163.623 * * [simplify]: Extracting #1: cost 6 inf + 0 163.623 * * [simplify]: Extracting #2: cost 36 inf + 0 163.624 * * [simplify]: Extracting #3: cost 122 inf + 1 163.625 * * [simplify]: Extracting #4: cost 156 inf + 1004 163.630 * * [simplify]: Extracting #5: cost 92 inf + 19132 163.645 * * [simplify]: Extracting #6: cost 25 inf + 52173 163.660 * * [simplify]: Extracting #7: cost 0 inf + 70265 163.670 * * [simplify]: Extracting #8: cost 0 inf + 70003 163.685 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))) 163.685 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))))) 163.685 * * * * [progress]: [ 277 / 315 ] simplifiying candidate # 163.686 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 163.686 * * [simplify]: iters left: 6 (14 enodes) 163.693 * * [simplify]: iters left: 5 (57 enodes) 163.702 * * [simplify]: iters left: 4 (90 enodes) 163.719 * * [simplify]: iters left: 3 (126 enodes) 163.760 * * [simplify]: iters left: 2 (194 enodes) 163.832 * * [simplify]: iters left: 1 (356 enodes) 163.993 * * [simplify]: Extracting #0: cost 1 inf + 0 163.993 * * [simplify]: Extracting #1: cost 4 inf + 0 163.993 * * [simplify]: Extracting #2: cost 8 inf + 0 163.993 * * [simplify]: Extracting #3: cost 34 inf + 0 163.994 * * [simplify]: Extracting #4: cost 118 inf + 43 163.995 * * [simplify]: Extracting #5: cost 153 inf + 382 163.998 * * [simplify]: Extracting #6: cost 108 inf + 6516 164.004 * * [simplify]: Extracting #7: cost 62 inf + 18405 164.017 * * [simplify]: Extracting #8: cost 23 inf + 48480 164.036 * * [simplify]: Extracting #9: cost 0 inf + 67958 164.056 * * [simplify]: Extracting #10: cost 0 inf + 67620 164.075 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 164.075 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))))) 164.076 * * * * [progress]: [ 278 / 315 ] simplifiying candidate # 164.076 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 164.076 * * [simplify]: iters left: 6 (14 enodes) 164.083 * * [simplify]: iters left: 5 (57 enodes) 164.103 * * [simplify]: iters left: 4 (91 enodes) 164.131 * * [simplify]: iters left: 3 (127 enodes) 164.163 * * [simplify]: iters left: 2 (195 enodes) 164.207 * * [simplify]: iters left: 1 (361 enodes) 164.333 * * [simplify]: Extracting #0: cost 1 inf + 0 164.333 * * [simplify]: Extracting #1: cost 4 inf + 0 164.333 * * [simplify]: Extracting #2: cost 9 inf + 0 164.333 * * [simplify]: Extracting #3: cost 37 inf + 0 164.333 * * [simplify]: Extracting #4: cost 126 inf + 43 164.334 * * [simplify]: Extracting #5: cost 159 inf + 425 164.336 * * [simplify]: Extracting #6: cost 108 inf + 7550 164.340 * * [simplify]: Extracting #7: cost 48 inf + 28620 164.350 * * [simplify]: Extracting #8: cost 5 inf + 65423 164.367 * * [simplify]: Extracting #9: cost 0 inf + 66419 164.389 * * [simplify]: Extracting #10: cost 0 inf + 65768 164.415 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 164.415 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))))) 164.415 * * * * [progress]: [ 279 / 315 ] simplifiying candidate # 164.415 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 164.415 * * [simplify]: iters left: 6 (13 enodes) 164.423 * * [simplify]: iters left: 5 (54 enodes) 164.432 * * [simplify]: iters left: 4 (85 enodes) 164.446 * * [simplify]: iters left: 3 (127 enodes) 164.468 * * [simplify]: iters left: 2 (219 enodes) 164.511 * * [simplify]: iters left: 1 (391 enodes) 164.658 * * [simplify]: Extracting #0: cost 1 inf + 0 164.658 * * [simplify]: Extracting #1: cost 6 inf + 0 164.658 * * [simplify]: Extracting #2: cost 38 inf + 0 164.659 * * [simplify]: Extracting #3: cost 124 inf + 1 164.660 * * [simplify]: Extracting #4: cost 161 inf + 547 164.663 * * [simplify]: Extracting #5: cost 125 inf + 3331 164.671 * * [simplify]: Extracting #6: cost 63 inf + 26730 164.694 * * [simplify]: Extracting #7: cost 12 inf + 62575 164.715 * * [simplify]: Extracting #8: cost 0 inf + 71924 164.734 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))) 164.734 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))))) 164.734 * * * * [progress]: [ 280 / 315 ] simplifiying candidate # 164.734 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 164.735 * * [simplify]: iters left: 6 (14 enodes) 164.739 * * [simplify]: iters left: 5 (60 enodes) 164.750 * * [simplify]: iters left: 4 (98 enodes) 164.766 * * [simplify]: iters left: 3 (154 enodes) 164.796 * * [simplify]: iters left: 2 (277 enodes) 164.850 * * [simplify]: Extracting #0: cost 1 inf + 0 164.850 * * [simplify]: Extracting #1: cost 6 inf + 0 164.850 * * [simplify]: Extracting #2: cost 27 inf + 0 164.850 * * [simplify]: Extracting #3: cost 96 inf + 1 164.851 * * [simplify]: Extracting #4: cost 118 inf + 343 164.853 * * [simplify]: Extracting #5: cost 69 inf + 7820 164.858 * * [simplify]: Extracting #6: cost 30 inf + 15107 164.871 * * [simplify]: Extracting #7: cost 1 inf + 33879 164.881 * * [simplify]: Extracting #8: cost 0 inf + 34836 164.891 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (/ (- 1 k) 4))) 164.891 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (/ (- 1 k) 4))))) 164.891 * * * * [progress]: [ 281 / 315 ] simplifiying candidate # 164.892 * [simplify]: Simplifying (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))) 164.892 * * [simplify]: iters left: 6 (10 enodes) 164.898 * * [simplify]: iters left: 5 (42 enodes) 164.911 * * [simplify]: iters left: 4 (65 enodes) 164.933 * * [simplify]: iters left: 3 (102 enodes) 164.970 * * [simplify]: iters left: 2 (194 enodes) 165.046 * * [simplify]: iters left: 1 (369 enodes) 165.182 * * [simplify]: Extracting #0: cost 1 inf + 0 165.182 * * [simplify]: Extracting #1: cost 6 inf + 0 165.183 * * [simplify]: Extracting #2: cost 41 inf + 0 165.183 * * [simplify]: Extracting #3: cost 120 inf + 84 165.184 * * [simplify]: Extracting #4: cost 150 inf + 632 165.186 * * [simplify]: Extracting #5: cost 101 inf + 9941 165.192 * * [simplify]: Extracting #6: cost 31 inf + 43542 165.201 * * [simplify]: Extracting #7: cost 1 inf + 71261 165.223 * * [simplify]: Extracting #8: cost 0 inf + 68919 165.244 * * [simplify]: Extracting #9: cost 0 inf + 66507 165.265 * * [simplify]: Extracting #10: cost 0 inf + 65470 165.277 * [simplify]: Simplified to (/ (sqrt k) (pow (* 2 PI) (* 1/2 (- 1 k)))) 165.277 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt 1) (pow n (/ (- 1 k) 2)))) (/ (sqrt k) (pow (* 2 PI) (* 1/2 (- 1 k)))))) 165.277 * * * * [progress]: [ 282 / 315 ] simplifiying candidate # 165.278 * [simplify]: Simplifying (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 165.278 * * [simplify]: iters left: 6 (13 enodes) 165.282 * * [simplify]: iters left: 5 (54 enodes) 165.291 * * [simplify]: iters left: 4 (87 enodes) 165.305 * * [simplify]: iters left: 3 (127 enodes) 165.327 * * [simplify]: iters left: 2 (196 enodes) 165.389 * * [simplify]: iters left: 1 (351 enodes) 165.505 * * [simplify]: Extracting #0: cost 1 inf + 0 165.505 * * [simplify]: Extracting #1: cost 4 inf + 0 165.505 * * [simplify]: Extracting #2: cost 8 inf + 0 165.505 * * [simplify]: Extracting #3: cost 32 inf + 1 165.505 * * [simplify]: Extracting #4: cost 115 inf + 43 165.506 * * [simplify]: Extracting #5: cost 148 inf + 301 165.507 * * [simplify]: Extracting #6: cost 97 inf + 9254 165.513 * * [simplify]: Extracting #7: cost 25 inf + 48526 165.523 * * [simplify]: Extracting #8: cost 0 inf + 66742 165.533 * * [simplify]: Extracting #9: cost 0 inf + 66320 165.550 * [simplify]: Simplified to (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 165.550 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 165.550 * * * * [progress]: [ 283 / 315 ] simplifiying candidate # 165.551 * [simplify]: Simplifying (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 165.551 * * [simplify]: iters left: 6 (13 enodes) 165.558 * * [simplify]: iters left: 5 (54 enodes) 165.576 * * [simplify]: iters left: 4 (88 enodes) 165.603 * * [simplify]: iters left: 3 (124 enodes) 165.646 * * [simplify]: iters left: 2 (192 enodes) 165.694 * * [simplify]: iters left: 1 (353 enodes) 165.852 * * [simplify]: Extracting #0: cost 1 inf + 0 165.852 * * [simplify]: Extracting #1: cost 4 inf + 0 165.852 * * [simplify]: Extracting #2: cost 9 inf + 0 165.852 * * [simplify]: Extracting #3: cost 33 inf + 1 165.853 * * [simplify]: Extracting #4: cost 119 inf + 43 165.853 * * [simplify]: Extracting #5: cost 143 inf + 633 165.855 * * [simplify]: Extracting #6: cost 96 inf + 8965 165.862 * * [simplify]: Extracting #7: cost 19 inf + 49656 165.872 * * [simplify]: Extracting #8: cost 0 inf + 65011 165.883 * * [simplify]: Extracting #9: cost 0 inf + 64202 165.905 * * [simplify]: Extracting #10: cost 0 inf + 61652 165.927 * * [simplify]: Extracting #11: cost 0 inf + 61028 165.949 * [simplify]: Simplified to (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 165.950 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 165.950 * * * * [progress]: [ 284 / 315 ] simplifiying candidate # 165.950 * [simplify]: Simplifying (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 165.950 * * [simplify]: iters left: 6 (12 enodes) 165.957 * * [simplify]: iters left: 5 (51 enodes) 165.976 * * [simplify]: iters left: 4 (86 enodes) 165.990 * * [simplify]: iters left: 3 (131 enodes) 166.013 * * [simplify]: iters left: 2 (210 enodes) 166.078 * * [simplify]: iters left: 1 (376 enodes) 166.236 * * [simplify]: Extracting #0: cost 1 inf + 0 166.236 * * [simplify]: Extracting #1: cost 6 inf + 0 166.236 * * [simplify]: Extracting #2: cost 39 inf + 0 166.236 * * [simplify]: Extracting #3: cost 126 inf + 43 166.237 * * [simplify]: Extracting #4: cost 157 inf + 427 166.238 * * [simplify]: Extracting #5: cost 123 inf + 3535 166.241 * * [simplify]: Extracting #6: cost 80 inf + 12590 166.246 * * [simplify]: Extracting #7: cost 35 inf + 41559 166.260 * * [simplify]: Extracting #8: cost 0 inf + 71226 166.279 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 166.279 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt 1) 1)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 166.279 * * * * [progress]: [ 285 / 315 ] simplifiying candidate # 166.279 * [simplify]: Simplifying (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 166.280 * * [simplify]: iters left: 6 (13 enodes) 166.288 * * [simplify]: iters left: 5 (57 enodes) 166.307 * * [simplify]: iters left: 4 (95 enodes) 166.325 * * [simplify]: iters left: 3 (148 enodes) 166.363 * * [simplify]: iters left: 2 (248 enodes) 166.418 * * [simplify]: iters left: 1 (441 enodes) 166.581 * * [simplify]: Extracting #0: cost 1 inf + 0 166.581 * * [simplify]: Extracting #1: cost 6 inf + 0 166.581 * * [simplify]: Extracting #2: cost 39 inf + 0 166.582 * * [simplify]: Extracting #3: cost 136 inf + 84 166.582 * * [simplify]: Extracting #4: cost 174 inf + 678 166.585 * * [simplify]: Extracting #5: cost 122 inf + 10036 166.591 * * [simplify]: Extracting #6: cost 42 inf + 40247 166.603 * * [simplify]: Extracting #7: cost 1 inf + 72437 166.625 * * [simplify]: Extracting #8: cost 0 inf + 71690 166.647 * * [simplify]: Extracting #9: cost 0 inf + 71650 166.673 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 4))) 166.673 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 4))))) 166.674 * * * * [progress]: [ 286 / 315 ] simplifiying candidate # 166.674 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) 166.674 * * [simplify]: iters left: 6 (11 enodes) 166.680 * * [simplify]: iters left: 5 (45 enodes) 166.688 * * [simplify]: iters left: 4 (68 enodes) 166.699 * * [simplify]: iters left: 3 (108 enodes) 166.729 * * [simplify]: iters left: 2 (205 enodes) 166.775 * * [simplify]: iters left: 1 (386 enodes) 166.963 * * [simplify]: Extracting #0: cost 1 inf + 0 166.964 * * [simplify]: Extracting #1: cost 6 inf + 0 166.964 * * [simplify]: Extracting #2: cost 36 inf + 0 166.964 * * [simplify]: Extracting #3: cost 122 inf + 1 166.966 * * [simplify]: Extracting #4: cost 156 inf + 1004 166.971 * * [simplify]: Extracting #5: cost 92 inf + 19132 166.985 * * [simplify]: Extracting #6: cost 25 inf + 52173 167.006 * * [simplify]: Extracting #7: cost 0 inf + 70265 167.030 * * [simplify]: Extracting #8: cost 0 inf + 70003 167.051 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))) 167.051 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))))) 167.052 * * * * [progress]: [ 287 / 315 ] simplifiying candidate # 167.052 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 167.052 * * [simplify]: iters left: 6 (14 enodes) 167.058 * * [simplify]: iters left: 5 (57 enodes) 167.067 * * [simplify]: iters left: 4 (90 enodes) 167.081 * * [simplify]: iters left: 3 (126 enodes) 167.114 * * [simplify]: iters left: 2 (194 enodes) 167.189 * * [simplify]: iters left: 1 (356 enodes) 167.362 * * [simplify]: Extracting #0: cost 1 inf + 0 167.362 * * [simplify]: Extracting #1: cost 4 inf + 0 167.363 * * [simplify]: Extracting #2: cost 8 inf + 0 167.363 * * [simplify]: Extracting #3: cost 34 inf + 0 167.363 * * [simplify]: Extracting #4: cost 118 inf + 43 167.364 * * [simplify]: Extracting #5: cost 153 inf + 382 167.365 * * [simplify]: Extracting #6: cost 108 inf + 6516 167.372 * * [simplify]: Extracting #7: cost 62 inf + 18405 167.382 * * [simplify]: Extracting #8: cost 23 inf + 48480 167.396 * * [simplify]: Extracting #9: cost 0 inf + 67958 167.406 * * [simplify]: Extracting #10: cost 0 inf + 67620 167.415 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 167.415 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))))) 167.416 * * * * [progress]: [ 288 / 315 ] simplifiying candidate # 167.416 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 167.416 * * [simplify]: iters left: 6 (14 enodes) 167.420 * * [simplify]: iters left: 5 (57 enodes) 167.439 * * [simplify]: iters left: 4 (91 enodes) 167.467 * * [simplify]: iters left: 3 (127 enodes) 167.512 * * [simplify]: iters left: 2 (195 enodes) 167.560 * * [simplify]: iters left: 1 (361 enodes) 167.723 * * [simplify]: Extracting #0: cost 1 inf + 0 167.723 * * [simplify]: Extracting #1: cost 4 inf + 0 167.723 * * [simplify]: Extracting #2: cost 9 inf + 0 167.723 * * [simplify]: Extracting #3: cost 37 inf + 0 167.723 * * [simplify]: Extracting #4: cost 126 inf + 43 167.724 * * [simplify]: Extracting #5: cost 159 inf + 425 167.725 * * [simplify]: Extracting #6: cost 108 inf + 7550 167.730 * * [simplify]: Extracting #7: cost 48 inf + 28620 167.741 * * [simplify]: Extracting #8: cost 5 inf + 65423 167.759 * * [simplify]: Extracting #9: cost 0 inf + 66419 167.770 * * [simplify]: Extracting #10: cost 0 inf + 65768 167.781 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 167.781 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))))) 167.781 * * * * [progress]: [ 289 / 315 ] simplifiying candidate # 167.782 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 167.782 * * [simplify]: iters left: 6 (13 enodes) 167.787 * * [simplify]: iters left: 5 (54 enodes) 167.804 * * [simplify]: iters left: 4 (85 enodes) 167.818 * * [simplify]: iters left: 3 (127 enodes) 167.852 * * [simplify]: iters left: 2 (219 enodes) 167.901 * * [simplify]: iters left: 1 (391 enodes) 168.036 * * [simplify]: Extracting #0: cost 1 inf + 0 168.036 * * [simplify]: Extracting #1: cost 6 inf + 0 168.036 * * [simplify]: Extracting #2: cost 38 inf + 0 168.037 * * [simplify]: Extracting #3: cost 124 inf + 1 168.037 * * [simplify]: Extracting #4: cost 161 inf + 547 168.039 * * [simplify]: Extracting #5: cost 125 inf + 3331 168.043 * * [simplify]: Extracting #6: cost 63 inf + 26730 168.052 * * [simplify]: Extracting #7: cost 12 inf + 62575 168.071 * * [simplify]: Extracting #8: cost 0 inf + 71924 168.092 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))) 168.093 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))))) 168.093 * * * * [progress]: [ 290 / 315 ] simplifiying candidate # 168.093 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 168.093 * * [simplify]: iters left: 6 (14 enodes) 168.101 * * [simplify]: iters left: 5 (60 enodes) 168.121 * * [simplify]: iters left: 4 (98 enodes) 168.142 * * [simplify]: iters left: 3 (154 enodes) 168.178 * * [simplify]: iters left: 2 (277 enodes) 168.285 * * [simplify]: Extracting #0: cost 1 inf + 0 168.285 * * [simplify]: Extracting #1: cost 6 inf + 0 168.285 * * [simplify]: Extracting #2: cost 27 inf + 0 168.285 * * [simplify]: Extracting #3: cost 96 inf + 1 168.287 * * [simplify]: Extracting #4: cost 118 inf + 343 168.289 * * [simplify]: Extracting #5: cost 69 inf + 7820 168.294 * * [simplify]: Extracting #6: cost 30 inf + 15107 168.304 * * [simplify]: Extracting #7: cost 1 inf + 33879 168.309 * * [simplify]: Extracting #8: cost 0 inf + 34836 168.316 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (/ (- 1 k) 4))) 168.316 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (/ (- 1 k) 4))))) 168.316 * * * * [progress]: [ 291 / 315 ] simplifiying candidate # 168.316 * [simplify]: Simplifying (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))) 168.316 * * [simplify]: iters left: 6 (10 enodes) 168.319 * * [simplify]: iters left: 5 (42 enodes) 168.327 * * [simplify]: iters left: 4 (65 enodes) 168.339 * * [simplify]: iters left: 3 (102 enodes) 168.373 * * [simplify]: iters left: 2 (194 enodes) 168.425 * * [simplify]: iters left: 1 (369 enodes) 168.546 * * [simplify]: Extracting #0: cost 1 inf + 0 168.546 * * [simplify]: Extracting #1: cost 6 inf + 0 168.546 * * [simplify]: Extracting #2: cost 41 inf + 0 168.546 * * [simplify]: Extracting #3: cost 120 inf + 84 168.547 * * [simplify]: Extracting #4: cost 150 inf + 632 168.549 * * [simplify]: Extracting #5: cost 101 inf + 9941 168.555 * * [simplify]: Extracting #6: cost 31 inf + 43542 168.569 * * [simplify]: Extracting #7: cost 1 inf + 71261 168.590 * * [simplify]: Extracting #8: cost 0 inf + 68919 168.614 * * [simplify]: Extracting #9: cost 0 inf + 66507 168.635 * * [simplify]: Extracting #10: cost 0 inf + 65470 168.657 * [simplify]: Simplified to (/ (sqrt k) (pow (* 2 PI) (* 1/2 (- 1 k)))) 168.657 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow n (/ (- 1 k) 2)))) (/ (sqrt k) (pow (* 2 PI) (* 1/2 (- 1 k)))))) 168.658 * * * * [progress]: [ 292 / 315 ] simplifiying candidate # 168.658 * [simplify]: Simplifying (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 168.658 * * [simplify]: iters left: 6 (13 enodes) 168.666 * * [simplify]: iters left: 5 (54 enodes) 168.684 * * [simplify]: iters left: 4 (87 enodes) 168.700 * * [simplify]: iters left: 3 (127 enodes) 168.720 * * [simplify]: iters left: 2 (196 enodes) 168.771 * * [simplify]: iters left: 1 (351 enodes) 168.926 * * [simplify]: Extracting #0: cost 1 inf + 0 168.926 * * [simplify]: Extracting #1: cost 4 inf + 0 168.927 * * [simplify]: Extracting #2: cost 8 inf + 0 168.927 * * [simplify]: Extracting #3: cost 32 inf + 1 168.927 * * [simplify]: Extracting #4: cost 115 inf + 43 168.929 * * [simplify]: Extracting #5: cost 148 inf + 301 168.932 * * [simplify]: Extracting #6: cost 97 inf + 9254 168.948 * * [simplify]: Extracting #7: cost 25 inf + 48526 168.967 * * [simplify]: Extracting #8: cost 0 inf + 66742 168.987 * * [simplify]: Extracting #9: cost 0 inf + 66320 169.006 * [simplify]: Simplified to (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 169.007 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 169.007 * * * * [progress]: [ 293 / 315 ] simplifiying candidate # 169.007 * [simplify]: Simplifying (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 169.007 * * [simplify]: iters left: 6 (13 enodes) 169.015 * * [simplify]: iters left: 5 (54 enodes) 169.025 * * [simplify]: iters left: 4 (88 enodes) 169.042 * * [simplify]: iters left: 3 (124 enodes) 169.071 * * [simplify]: iters left: 2 (192 enodes) 169.111 * * [simplify]: iters left: 1 (353 enodes) 169.237 * * [simplify]: Extracting #0: cost 1 inf + 0 169.237 * * [simplify]: Extracting #1: cost 4 inf + 0 169.237 * * [simplify]: Extracting #2: cost 9 inf + 0 169.237 * * [simplify]: Extracting #3: cost 33 inf + 1 169.238 * * [simplify]: Extracting #4: cost 119 inf + 43 169.240 * * [simplify]: Extracting #5: cost 143 inf + 633 169.243 * * [simplify]: Extracting #6: cost 96 inf + 8965 169.257 * * [simplify]: Extracting #7: cost 19 inf + 49656 169.278 * * [simplify]: Extracting #8: cost 0 inf + 65011 169.300 * * [simplify]: Extracting #9: cost 0 inf + 64202 169.323 * * [simplify]: Extracting #10: cost 0 inf + 61652 169.345 * * [simplify]: Extracting #11: cost 0 inf + 61028 169.367 * [simplify]: Simplified to (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 169.367 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 169.367 * * * * [progress]: [ 294 / 315 ] simplifiying candidate # 169.368 * [simplify]: Simplifying (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 169.368 * * [simplify]: iters left: 6 (12 enodes) 169.375 * * [simplify]: iters left: 5 (51 enodes) 169.392 * * [simplify]: iters left: 4 (86 enodes) 169.423 * * [simplify]: iters left: 3 (131 enodes) 169.466 * * [simplify]: iters left: 2 (210 enodes) 169.520 * * [simplify]: iters left: 1 (376 enodes) 169.664 * * [simplify]: Extracting #0: cost 1 inf + 0 169.664 * * [simplify]: Extracting #1: cost 6 inf + 0 169.664 * * [simplify]: Extracting #2: cost 39 inf + 0 169.665 * * [simplify]: Extracting #3: cost 126 inf + 43 169.666 * * [simplify]: Extracting #4: cost 157 inf + 427 169.669 * * [simplify]: Extracting #5: cost 123 inf + 3535 169.674 * * [simplify]: Extracting #6: cost 80 inf + 12590 169.686 * * [simplify]: Extracting #7: cost 35 inf + 41559 169.704 * * [simplify]: Extracting #8: cost 0 inf + 71226 169.727 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 169.727 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 1)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 169.727 * * * * [progress]: [ 295 / 315 ] simplifiying candidate # 169.728 * [simplify]: Simplifying (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 169.728 * * [simplify]: iters left: 6 (13 enodes) 169.735 * * [simplify]: iters left: 5 (57 enodes) 169.754 * * [simplify]: iters left: 4 (95 enodes) 169.785 * * [simplify]: iters left: 3 (148 enodes) 169.815 * * [simplify]: iters left: 2 (248 enodes) 169.899 * * [simplify]: iters left: 1 (441 enodes) 170.089 * * [simplify]: Extracting #0: cost 1 inf + 0 170.090 * * [simplify]: Extracting #1: cost 6 inf + 0 170.090 * * [simplify]: Extracting #2: cost 39 inf + 0 170.090 * * [simplify]: Extracting #3: cost 136 inf + 84 170.092 * * [simplify]: Extracting #4: cost 174 inf + 678 170.097 * * [simplify]: Extracting #5: cost 122 inf + 10036 170.109 * * [simplify]: Extracting #6: cost 42 inf + 40247 170.132 * * [simplify]: Extracting #7: cost 1 inf + 72437 170.155 * * [simplify]: Extracting #8: cost 0 inf + 71690 170.178 * * [simplify]: Extracting #9: cost 0 inf + 71650 170.200 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 4))) 170.200 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 4))))) 170.200 * * * * [progress]: [ 296 / 315 ] simplifiying candidate # 170.201 * [simplify]: Simplifying (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 170.201 * * [simplify]: iters left: 6 (12 enodes) 170.208 * * [simplify]: iters left: 5 (51 enodes) 170.219 * * [simplify]: iters left: 4 (86 enodes) 170.232 * * [simplify]: iters left: 3 (131 enodes) 170.272 * * [simplify]: iters left: 2 (210 enodes) 170.323 * * [simplify]: iters left: 1 (376 enodes) 170.460 * * [simplify]: Extracting #0: cost 1 inf + 0 170.460 * * [simplify]: Extracting #1: cost 6 inf + 0 170.460 * * [simplify]: Extracting #2: cost 39 inf + 0 170.461 * * [simplify]: Extracting #3: cost 126 inf + 43 170.462 * * [simplify]: Extracting #4: cost 157 inf + 427 170.464 * * [simplify]: Extracting #5: cost 123 inf + 3535 170.470 * * [simplify]: Extracting #6: cost 80 inf + 12590 170.481 * * [simplify]: Extracting #7: cost 35 inf + 41559 170.499 * * [simplify]: Extracting #8: cost 0 inf + 71226 170.522 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 170.522 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 170.522 * * * * [progress]: [ 297 / 315 ] simplifiying candidate # 170.523 * [simplify]: Simplifying (/ 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 170.523 * * [simplify]: iters left: 6 (11 enodes) 170.530 * * [simplify]: iters left: 5 (48 enodes) 170.546 * * [simplify]: iters left: 4 (79 enodes) 170.571 * * [simplify]: iters left: 3 (124 enodes) 170.615 * * [simplify]: iters left: 2 (221 enodes) 170.695 * * [simplify]: iters left: 1 (402 enodes) 170.839 * * [simplify]: Extracting #0: cost 1 inf + 0 170.839 * * [simplify]: Extracting #1: cost 6 inf + 0 170.840 * * [simplify]: Extracting #2: cost 37 inf + 1 170.840 * * [simplify]: Extracting #3: cost 125 inf + 2 170.842 * * [simplify]: Extracting #4: cost 185 inf + 220 170.843 * * [simplify]: Extracting #5: cost 170 inf + 1641 170.853 * * [simplify]: Extracting #6: cost 64 inf + 31511 170.879 * * [simplify]: Extracting #7: cost 9 inf + 62185 170.906 * * [simplify]: Extracting #8: cost 0 inf + 67148 170.932 * * [simplify]: Extracting #9: cost 0 inf + 65772 170.957 * * [simplify]: Extracting #10: cost 0 inf + 65690 170.983 * * [simplify]: Extracting #11: cost 0 inf + 65357 171.008 * [simplify]: Simplified to (/ 1 (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))) 171.008 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))))) 171.008 * * * * [progress]: [ 298 / 315 ] simplifiying candidate # 171.009 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ k 2)) 171.009 * * [simplify]: iters left: 5 (8 enodes) 171.011 * * [simplify]: iters left: 4 (31 enodes) 171.016 * * [simplify]: iters left: 3 (51 enodes) 171.026 * * [simplify]: iters left: 2 (85 enodes) 171.040 * * [simplify]: iters left: 1 (152 enodes) 171.092 * * [simplify]: Extracting #0: cost 1 inf + 0 171.093 * * [simplify]: Extracting #1: cost 13 inf + 0 171.093 * * [simplify]: Extracting #2: cost 59 inf + 1 171.093 * * [simplify]: Extracting #3: cost 76 inf + 9 171.094 * * [simplify]: Extracting #4: cost 41 inf + 3303 171.097 * * [simplify]: Extracting #5: cost 16 inf + 10676 171.103 * * [simplify]: Extracting #6: cost 0 inf + 21028 171.108 * * [simplify]: Extracting #7: cost 0 inf + 20456 171.113 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 171.113 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ 1 2)))) (pow (* (* n 2) PI) (/ k 2)))) 171.114 * * * * [progress]: [ 299 / 315 ] simplifiying candidate # 171.114 * [simplify]: Simplifying (* (cbrt 1) (cbrt 1)) 171.114 * * [simplify]: iters left: 3 (3 enodes) 171.120 * * [simplify]: iters left: 2 (11 enodes) 171.123 * * [simplify]: iters left: 1 (13 enodes) 171.127 * * [simplify]: Extracting #0: cost 1 inf + 0 171.127 * * [simplify]: Extracting #1: cost 0 inf + 1 171.127 * [simplify]: Simplified to 1 171.127 * [simplify]: Simplified (2 1) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt 1)))) 171.127 * * * * [progress]: [ 300 / 315 ] simplifiying candidate # 171.127 * [simplify]: Simplifying (sqrt 1) 171.127 * * [simplify]: iters left: 1 (2 enodes) 171.130 * * [simplify]: Extracting #0: cost 1 inf + 0 171.130 * * [simplify]: Extracting #1: cost 0 inf + 1 171.130 * [simplify]: Simplified to 1 171.130 * [simplify]: Simplified (2 1) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)))) 171.131 * * * * [progress]: [ 301 / 315 ] simplifiying candidate # 171.131 * * * * [progress]: [ 302 / 315 ] simplifiying candidate # 171.131 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 171.131 * * [simplify]: iters left: 5 (10 enodes) 171.137 * * [simplify]: iters left: 4 (45 enodes) 171.149 * * [simplify]: iters left: 3 (78 enodes) 171.161 * * [simplify]: iters left: 2 (118 enodes) 171.185 * * [simplify]: iters left: 1 (191 enodes) 171.246 * * [simplify]: Extracting #0: cost 1 inf + 0 171.246 * * [simplify]: Extracting #1: cost 13 inf + 0 171.246 * * [simplify]: Extracting #2: cost 60 inf + 1 171.248 * * [simplify]: Extracting #3: cost 92 inf + 7 171.248 * * [simplify]: Extracting #4: cost 83 inf + 930 171.249 * * [simplify]: Extracting #5: cost 41 inf + 6729 171.252 * * [simplify]: Extracting #6: cost 13 inf + 16801 171.255 * * [simplify]: Extracting #7: cost 0 inf + 25197 171.259 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 2)) 171.259 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 171.259 * * * * [progress]: [ 303 / 315 ] simplifiying candidate #real (real->posit16 (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))> 171.259 * * * * [progress]: [ 304 / 315 ] simplifiying candidate # 171.259 * [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))))) 171.260 * * [simplify]: iters left: 6 (37 enodes) 171.271 * * [simplify]: iters left: 5 (190 enodes) 171.330 * * [simplify]: Extracting #0: cost 1 inf + 0 171.330 * * [simplify]: Extracting #1: cost 22 inf + 0 171.330 * * [simplify]: Extracting #2: cost 108 inf + 1 171.331 * * [simplify]: Extracting #3: cost 171 inf + 46 171.331 * * [simplify]: Extracting #4: cost 189 inf + 427 171.333 * * [simplify]: Extracting #5: cost 128 inf + 16032 171.345 * * [simplify]: Extracting #6: cost 29 inf + 57153 171.373 * * [simplify]: Extracting #7: cost 4 inf + 75884 171.404 * * [simplify]: Extracting #8: cost 0 inf + 78767 171.436 * [simplify]: Simplified to (fma (* (log (* PI 2)) 1/4) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k k) (log n))) (- (fma (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k (log n)) (* k (log n)))) 1/8 (fma (* (* 1/8 (log (* PI 2))) (log (* PI 2))) (* (* k k) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (exp (* (+ (log n) (log (* PI 2))) 1/2)))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) 1/2))) 171.437 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (fma (* (log (* PI 2)) 1/4) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k k) (log n))) (- (fma (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k (log n)) (* k (log n)))) 1/8 (fma (* (* 1/8 (log (* PI 2))) (log (* PI 2))) (* (* k k) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (exp (* (+ (log n) (log (* PI 2))) 1/2)))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) 1/2)))))) 171.437 * * * * [progress]: [ 305 / 315 ] simplifiying candidate # 171.438 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 171.438 * * [simplify]: iters left: 6 (15 enodes) 171.447 * * [simplify]: iters left: 5 (65 enodes) 171.470 * * [simplify]: iters left: 4 (123 enodes) 171.526 * * [simplify]: iters left: 3 (367 enodes) 171.745 * * [simplify]: Extracting #0: cost 1 inf + 0 171.745 * * [simplify]: Extracting #1: cost 37 inf + 0 171.746 * * [simplify]: Extracting #2: cost 216 inf + 72 171.749 * * [simplify]: Extracting #3: cost 356 inf + 1622 171.758 * * [simplify]: Extracting #4: cost 219 inf + 28945 171.784 * * [simplify]: Extracting #5: cost 21 inf + 83197 171.817 * * [simplify]: Extracting #6: cost 0 inf + 89881 171.836 * * [simplify]: Extracting #7: cost 0 inf + 89729 171.855 * * [simplify]: Extracting #8: cost 0 inf + 89726 171.886 * [simplify]: Simplified to (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) 171.886 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k))))))) 171.886 * * * * [progress]: [ 306 / 315 ] simplifiying candidate # 171.887 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 171.887 * * [simplify]: iters left: 6 (16 enodes) 171.896 * * [simplify]: iters left: 5 (67 enodes) 171.921 * * [simplify]: iters left: 4 (134 enodes) 171.983 * * [simplify]: iters left: 3 (413 enodes) 172.199 * * [simplify]: Extracting #0: cost 1 inf + 0 172.199 * * [simplify]: Extracting #1: cost 39 inf + 0 172.200 * * [simplify]: Extracting #2: cost 241 inf + 72 172.201 * * [simplify]: Extracting #3: cost 450 inf + 903 172.204 * * [simplify]: Extracting #4: cost 376 inf + 10375 172.214 * * [simplify]: Extracting #5: cost 158 inf + 67083 172.244 * * [simplify]: Extracting #6: cost 12 inf + 118840 172.267 * * [simplify]: Extracting #7: cost 0 inf + 121984 172.297 * * [simplify]: Extracting #8: cost 0 inf + 121983 172.330 * [simplify]: Simplified to (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) 172.330 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n)))))))))) 172.330 * * * * [progress]: [ 307 / 315 ] simplifiying candidate # 172.330 * [simplify]: Simplifying (* 2 (* n PI)) 172.331 * * [simplify]: iters left: 4 (5 enodes) 172.334 * * [simplify]: iters left: 3 (19 enodes) 172.341 * * [simplify]: iters left: 2 (27 enodes) 172.349 * * [simplify]: iters left: 1 (32 enodes) 172.356 * * [simplify]: Extracting #0: cost 1 inf + 0 172.356 * * [simplify]: Extracting #1: cost 8 inf + 0 172.357 * * [simplify]: Extracting #2: cost 7 inf + 45 172.357 * * [simplify]: Extracting #3: cost 0 inf + 421 172.357 * [simplify]: Simplified to (* (* PI n) 2) 172.357 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2))))) 172.357 * * * * [progress]: [ 308 / 315 ] simplifiying candidate # 172.358 * [simplify]: Simplifying (* 2 (* n PI)) 172.358 * * [simplify]: iters left: 4 (5 enodes) 172.360 * * [simplify]: iters left: 3 (19 enodes) 172.365 * * [simplify]: iters left: 2 (27 enodes) 172.372 * * [simplify]: iters left: 1 (32 enodes) 172.379 * * [simplify]: Extracting #0: cost 1 inf + 0 172.379 * * [simplify]: Extracting #1: cost 8 inf + 0 172.379 * * [simplify]: Extracting #2: cost 7 inf + 45 172.379 * * [simplify]: Extracting #3: cost 0 inf + 421 172.379 * [simplify]: Simplified to (* (* PI n) 2) 172.379 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2))))) 172.380 * * * * [progress]: [ 309 / 315 ] simplifiying candidate # 172.380 * [simplify]: Simplifying (* 2 (* n PI)) 172.380 * * [simplify]: iters left: 4 (5 enodes) 172.382 * * [simplify]: iters left: 3 (19 enodes) 172.388 * * [simplify]: iters left: 2 (27 enodes) 172.395 * * [simplify]: iters left: 1 (32 enodes) 172.402 * * [simplify]: Extracting #0: cost 1 inf + 0 172.402 * * [simplify]: Extracting #1: cost 8 inf + 0 172.402 * * [simplify]: Extracting #2: cost 7 inf + 45 172.402 * * [simplify]: Extracting #3: cost 0 inf + 421 172.402 * [simplify]: Simplified to (* (* PI n) 2) 172.403 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2))))) 172.403 * * * * [progress]: [ 310 / 315 ] simplifiying candidate # 172.403 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) PI)) (- (+ (* +nan.0 (/ (* (sqrt 1/2) (pow k 2)) PI)) (- (+ (* +nan.0 (/ (* n (* (sqrt 1/2) k)) (pow PI 2))) (- (+ (* +nan.0 (/ (* (log n) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2)))) PI)) (- (* +nan.0 (/ (* (sqrt 1/2) k) PI))))))))))) 172.403 * [simplify]: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 172.403 * * * * [progress]: [ 311 / 315 ] simplifiying candidate # 172.404 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))))) (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2)))) (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)))))))) 172.404 * [simplify]: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 172.404 * * * * [progress]: [ 312 / 315 ] simplifiying candidate # 172.404 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k))) (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2)))) (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))))))))) 172.404 * [simplify]: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 172.404 * * * * [progress]: [ 313 / 315 ] simplifiying candidate # 172.405 * [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))))))))))))) 172.405 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 172.405 * * * * [progress]: [ 314 / 315 ] simplifiying candidate # 172.405 * [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)))))))) 172.405 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 172.405 * * * * [progress]: [ 315 / 315 ] simplifiying candidate # 172.406 * [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)))))))))))) 172.406 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 172.406 * * * [progress]: adding candidates to table 176.186 * [progress]: [Phase 3 of 3] Extracting. 176.186 * * [regime]: Finding splitpoints for: (# # # # # # #) 176.187 * * * [regime-changes]: Trying 4 branch expressions: (n (* (* 2 PI) n) k (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 176.187 * * * * [regimes]: Trying to branch on n from (# # # # # # #) 176.248 * * * * [regimes]: Trying to branch on (* (* 2 PI) n) from (# # # # # # #) 176.318 * * * * [regimes]: Trying to branch on (* (* 2 PI) n) from (# # #) 176.347 * * * * [regimes]: Trying to branch on k from (# # # # # # #) 176.412 * * * * [regimes]: Trying to branch on (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) from (# # # # # # #) 176.507 * * * [regime]: Found split indices: #