0.002 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.199 * * * [progress]: [2/2] Setting up program. 0.203 * [progress]: [Phase 2 of 3] Improving. 0.203 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.203 * [simplify]: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 0.203 * * [simplify]: iters left: 6 (13 enodes) 0.207 * * [simplify]: iters left: 5 (57 enodes) 0.217 * * [simplify]: iters left: 4 (96 enodes) 0.261 * * [simplify]: iters left: 3 (172 enodes) 0.309 * * [simplify]: iters left: 2 (338 enodes) 0.456 * * [simplify]: Extracting #0: cost 1 inf + 0 0.456 * * [simplify]: Extracting #1: cost 41 inf + 0 0.457 * * [simplify]: Extracting #2: cost 120 inf + 1 0.457 * * [simplify]: Extracting #3: cost 166 inf + 127 0.458 * * [simplify]: Extracting #4: cost 163 inf + 676 0.460 * * [simplify]: Extracting #5: cost 119 inf + 8991 0.465 * * [simplify]: Extracting #6: cost 63 inf + 29786 0.475 * * [simplify]: Extracting #7: cost 6 inf + 73494 0.491 * * [simplify]: Extracting #8: cost 0 inf + 78104 0.516 * [simplify]: Simplified to (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 0.516 * [simplify]: Simplified (2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 0.529 * * [progress]: iteration 1 / 4 0.529 * * * [progress]: picking best candidate 0.540 * * * * [pick]: Picked # 0.540 * * * [progress]: localizing error 0.575 * * * [progress]: generating rewritten candidates 0.575 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.592 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.601 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.628 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.674 * * * [progress]: generating series expansions 0.674 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.675 * [backup-simplify]: Simplify (pow (* (* 2 PI) n) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) 0.675 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0 0.675 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 0.675 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 0.675 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 0.675 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 0.675 * [taylor]: Taking taylor expansion of 1/2 in k 0.675 * [backup-simplify]: Simplify 1/2 into 1/2 0.675 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.675 * [taylor]: Taking taylor expansion of 1 in k 0.675 * [backup-simplify]: Simplify 1 into 1 0.675 * [taylor]: Taking taylor expansion of k in k 0.675 * [backup-simplify]: Simplify 0 into 0 0.675 * [backup-simplify]: Simplify 1 into 1 0.675 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 0.675 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 0.675 * [taylor]: Taking taylor expansion of 2 in k 0.675 * [backup-simplify]: Simplify 2 into 2 0.675 * [taylor]: Taking taylor expansion of (* n PI) in k 0.675 * [taylor]: Taking taylor expansion of n in k 0.675 * [backup-simplify]: Simplify n into n 0.675 * [taylor]: Taking taylor expansion of PI in k 0.675 * [backup-simplify]: Simplify PI into PI 0.675 * [backup-simplify]: Simplify (* n PI) into (* n PI) 0.676 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 0.676 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 0.676 * [backup-simplify]: Simplify (- 0) into 0 0.676 * [backup-simplify]: Simplify (+ 1 0) into 1 0.677 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.677 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 0.677 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 0.677 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.677 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.677 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.677 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.677 * [taylor]: Taking taylor expansion of 1/2 in n 0.677 * [backup-simplify]: Simplify 1/2 into 1/2 0.677 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.677 * [taylor]: Taking taylor expansion of 1 in n 0.677 * [backup-simplify]: Simplify 1 into 1 0.677 * [taylor]: Taking taylor expansion of k in n 0.677 * [backup-simplify]: Simplify k into k 0.677 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.677 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.677 * [taylor]: Taking taylor expansion of 2 in n 0.677 * [backup-simplify]: Simplify 2 into 2 0.677 * [taylor]: Taking taylor expansion of (* n PI) in n 0.677 * [taylor]: Taking taylor expansion of n in n 0.677 * [backup-simplify]: Simplify 0 into 0 0.677 * [backup-simplify]: Simplify 1 into 1 0.677 * [taylor]: Taking taylor expansion of PI in n 0.677 * [backup-simplify]: Simplify PI into PI 0.678 * [backup-simplify]: Simplify (* 0 PI) into 0 0.678 * [backup-simplify]: Simplify (* 2 0) into 0 0.679 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.680 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.680 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.680 * [backup-simplify]: Simplify (- k) into (- k) 0.680 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.680 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 0.681 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.682 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 0.683 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0.683 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.683 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.683 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.683 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.683 * [taylor]: Taking taylor expansion of 1/2 in n 0.683 * [backup-simplify]: Simplify 1/2 into 1/2 0.683 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.683 * [taylor]: Taking taylor expansion of 1 in n 0.683 * [backup-simplify]: Simplify 1 into 1 0.683 * [taylor]: Taking taylor expansion of k in n 0.683 * [backup-simplify]: Simplify k into k 0.683 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.683 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.683 * [taylor]: Taking taylor expansion of 2 in n 0.683 * [backup-simplify]: Simplify 2 into 2 0.683 * [taylor]: Taking taylor expansion of (* n PI) in n 0.683 * [taylor]: Taking taylor expansion of n in n 0.683 * [backup-simplify]: Simplify 0 into 0 0.683 * [backup-simplify]: Simplify 1 into 1 0.683 * [taylor]: Taking taylor expansion of PI in n 0.683 * [backup-simplify]: Simplify PI into PI 0.683 * [backup-simplify]: Simplify (* 0 PI) into 0 0.684 * [backup-simplify]: Simplify (* 2 0) into 0 0.684 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.685 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.686 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.686 * [backup-simplify]: Simplify (- k) into (- k) 0.686 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.686 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 0.687 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.688 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 0.688 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0.688 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 0.688 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 0.689 * [taylor]: Taking taylor expansion of 1/2 in k 0.689 * [backup-simplify]: Simplify 1/2 into 1/2 0.689 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 0.689 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.689 * [taylor]: Taking taylor expansion of 1 in k 0.689 * [backup-simplify]: Simplify 1 into 1 0.689 * [taylor]: Taking taylor expansion of k in k 0.689 * [backup-simplify]: Simplify 0 into 0 0.689 * [backup-simplify]: Simplify 1 into 1 0.689 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 0.689 * [taylor]: Taking taylor expansion of (log n) in k 0.689 * [taylor]: Taking taylor expansion of n in k 0.689 * [backup-simplify]: Simplify n into n 0.689 * [backup-simplify]: Simplify (log n) into (log n) 0.689 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.689 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.689 * [taylor]: Taking taylor expansion of 2 in k 0.689 * [backup-simplify]: Simplify 2 into 2 0.689 * [taylor]: Taking taylor expansion of PI in k 0.689 * [backup-simplify]: Simplify PI into PI 0.689 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.691 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.691 * [backup-simplify]: Simplify (- 0) into 0 0.692 * [backup-simplify]: Simplify (+ 1 0) into 1 0.693 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.694 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 0.695 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 0.696 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0.697 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0.698 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 0.699 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 0.701 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.701 * [backup-simplify]: Simplify (- 0) into 0 0.702 * [backup-simplify]: Simplify (+ 0 0) into 0 0.702 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 0.704 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.705 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 0.707 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.707 * [taylor]: Taking taylor expansion of 0 in k 0.707 * [backup-simplify]: Simplify 0 into 0 0.707 * [backup-simplify]: Simplify 0 into 0 0.708 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 0.709 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 0.711 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.711 * [backup-simplify]: Simplify (+ 0 0) into 0 0.711 * [backup-simplify]: Simplify (- 1) into -1 0.712 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.713 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 0.715 * [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))))) 0.718 * [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))))))) 0.721 * [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))))))) 0.723 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 0.724 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) 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) into 0 0.729 * [backup-simplify]: Simplify (+ 0 0) into 0 0.730 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 0.731 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.733 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.735 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.735 * [taylor]: Taking taylor expansion of 0 in k 0.735 * [backup-simplify]: Simplify 0 into 0 0.735 * [backup-simplify]: Simplify 0 into 0 0.735 * [backup-simplify]: Simplify 0 into 0 0.737 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 0.738 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 0.741 * [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 0.742 * [backup-simplify]: Simplify (+ 0 0) into 0 0.742 * [backup-simplify]: Simplify (- 0) into 0 0.743 * [backup-simplify]: Simplify (+ 0 0) into 0 0.745 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.747 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.751 * [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))))) 0.761 * [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))))) 0.772 * [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))))) 0.773 * [backup-simplify]: Simplify (pow (* (* 2 PI) (/ 1 n)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) 0.773 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 0.773 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 0.773 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 0.773 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 0.773 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 0.773 * [taylor]: Taking taylor expansion of 1/2 in k 0.773 * [backup-simplify]: Simplify 1/2 into 1/2 0.773 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 0.773 * [taylor]: Taking taylor expansion of 1 in k 0.773 * [backup-simplify]: Simplify 1 into 1 0.773 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.773 * [taylor]: Taking taylor expansion of k in k 0.773 * [backup-simplify]: Simplify 0 into 0 0.773 * [backup-simplify]: Simplify 1 into 1 0.774 * [backup-simplify]: Simplify (/ 1 1) into 1 0.774 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 0.774 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 0.774 * [taylor]: Taking taylor expansion of 2 in k 0.774 * [backup-simplify]: Simplify 2 into 2 0.774 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.774 * [taylor]: Taking taylor expansion of PI in k 0.774 * [backup-simplify]: Simplify PI into PI 0.774 * [taylor]: Taking taylor expansion of n in k 0.774 * [backup-simplify]: Simplify n into n 0.774 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 0.774 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 0.774 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 0.774 * [backup-simplify]: Simplify (- 1) into -1 0.775 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.775 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 0.775 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 0.776 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 0.776 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 0.776 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 0.776 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 0.776 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 0.776 * [taylor]: Taking taylor expansion of 1/2 in n 0.776 * [backup-simplify]: Simplify 1/2 into 1/2 0.776 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 0.776 * [taylor]: Taking taylor expansion of 1 in n 0.776 * [backup-simplify]: Simplify 1 into 1 0.776 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.776 * [taylor]: Taking taylor expansion of k in n 0.776 * [backup-simplify]: Simplify k into k 0.776 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.776 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 0.776 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.776 * [taylor]: Taking taylor expansion of 2 in n 0.776 * [backup-simplify]: Simplify 2 into 2 0.776 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.776 * [taylor]: Taking taylor expansion of PI in n 0.776 * [backup-simplify]: Simplify PI into PI 0.776 * [taylor]: Taking taylor expansion of n in n 0.776 * [backup-simplify]: Simplify 0 into 0 0.776 * [backup-simplify]: Simplify 1 into 1 0.777 * [backup-simplify]: Simplify (/ PI 1) into PI 0.777 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.778 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.779 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 0.779 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 0.779 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 0.780 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.781 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 0.783 * [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))))) 0.783 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 0.783 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 0.783 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 0.783 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 0.783 * [taylor]: Taking taylor expansion of 1/2 in n 0.783 * [backup-simplify]: Simplify 1/2 into 1/2 0.783 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 0.783 * [taylor]: Taking taylor expansion of 1 in n 0.783 * [backup-simplify]: Simplify 1 into 1 0.783 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.783 * [taylor]: Taking taylor expansion of k in n 0.783 * [backup-simplify]: Simplify k into k 0.783 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.783 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 0.783 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.783 * [taylor]: Taking taylor expansion of 2 in n 0.783 * [backup-simplify]: Simplify 2 into 2 0.783 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.783 * [taylor]: Taking taylor expansion of PI in n 0.783 * [backup-simplify]: Simplify PI into PI 0.783 * [taylor]: Taking taylor expansion of n in n 0.783 * [backup-simplify]: Simplify 0 into 0 0.783 * [backup-simplify]: Simplify 1 into 1 0.784 * [backup-simplify]: Simplify (/ PI 1) into PI 0.784 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.785 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.785 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 0.785 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 0.786 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 0.787 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.788 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 0.789 * [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))))) 0.789 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 0.789 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 0.789 * [taylor]: Taking taylor expansion of 1/2 in k 0.789 * [backup-simplify]: Simplify 1/2 into 1/2 0.789 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 0.790 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 0.790 * [taylor]: Taking taylor expansion of 1 in k 0.790 * [backup-simplify]: Simplify 1 into 1 0.790 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.790 * [taylor]: Taking taylor expansion of k in k 0.790 * [backup-simplify]: Simplify 0 into 0 0.790 * [backup-simplify]: Simplify 1 into 1 0.790 * [backup-simplify]: Simplify (/ 1 1) into 1 0.790 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 0.790 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.790 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.790 * [taylor]: Taking taylor expansion of 2 in k 0.790 * [backup-simplify]: Simplify 2 into 2 0.790 * [taylor]: Taking taylor expansion of PI in k 0.790 * [backup-simplify]: Simplify PI into PI 0.791 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.792 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.792 * [taylor]: Taking taylor expansion of (log n) in k 0.792 * [taylor]: Taking taylor expansion of n in k 0.792 * [backup-simplify]: Simplify n into n 0.792 * [backup-simplify]: Simplify (log n) into (log n) 0.792 * [backup-simplify]: Simplify (- 1) into -1 0.793 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.793 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 0.794 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 0.795 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 0.796 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 0.797 * [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))))) 0.798 * [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))))) 0.799 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.800 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 0.802 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.802 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.802 * [backup-simplify]: Simplify (- 0) into 0 0.803 * [backup-simplify]: Simplify (+ 0 0) into 0 0.803 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 0.804 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.805 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 0.806 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.806 * [taylor]: Taking taylor expansion of 0 in k 0.806 * [backup-simplify]: Simplify 0 into 0 0.806 * [backup-simplify]: Simplify 0 into 0 0.806 * [backup-simplify]: Simplify 0 into 0 0.807 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.808 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 0.809 * [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 0.810 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.810 * [backup-simplify]: Simplify (- 0) into 0 0.810 * [backup-simplify]: Simplify (+ 0 0) into 0 0.811 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 0.812 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.812 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 0.814 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.814 * [taylor]: Taking taylor expansion of 0 in k 0.814 * [backup-simplify]: Simplify 0 into 0 0.814 * [backup-simplify]: Simplify 0 into 0 0.814 * [backup-simplify]: Simplify 0 into 0 0.814 * [backup-simplify]: Simplify 0 into 0 0.815 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.816 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.819 * [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 0.819 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.819 * [backup-simplify]: Simplify (- 0) into 0 0.820 * [backup-simplify]: Simplify (+ 0 0) into 0 0.820 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 0.821 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.822 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 0.824 * [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 0.824 * [taylor]: Taking taylor expansion of 0 in k 0.824 * [backup-simplify]: Simplify 0 into 0 0.824 * [backup-simplify]: Simplify 0 into 0 0.825 * [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)))))) 0.825 * [backup-simplify]: Simplify (pow (* (* 2 PI) (/ 1 (- n))) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) 0.825 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 0.825 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 0.825 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 0.825 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 0.825 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 0.825 * [taylor]: Taking taylor expansion of 1/2 in k 0.825 * [backup-simplify]: Simplify 1/2 into 1/2 0.825 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 0.825 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.825 * [taylor]: Taking taylor expansion of k in k 0.825 * [backup-simplify]: Simplify 0 into 0 0.825 * [backup-simplify]: Simplify 1 into 1 0.826 * [backup-simplify]: Simplify (/ 1 1) into 1 0.826 * [taylor]: Taking taylor expansion of 1 in k 0.826 * [backup-simplify]: Simplify 1 into 1 0.826 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 0.826 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 0.826 * [taylor]: Taking taylor expansion of -2 in k 0.826 * [backup-simplify]: Simplify -2 into -2 0.826 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.826 * [taylor]: Taking taylor expansion of PI in k 0.826 * [backup-simplify]: Simplify PI into PI 0.826 * [taylor]: Taking taylor expansion of n in k 0.826 * [backup-simplify]: Simplify n into n 0.826 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 0.826 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 0.826 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 0.826 * [backup-simplify]: Simplify (+ 1 0) into 1 0.826 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.827 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 0.827 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 0.827 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 0.827 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 0.827 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 0.827 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 0.827 * [taylor]: Taking taylor expansion of 1/2 in n 0.827 * [backup-simplify]: Simplify 1/2 into 1/2 0.827 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 0.827 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.827 * [taylor]: Taking taylor expansion of k in n 0.827 * [backup-simplify]: Simplify k into k 0.827 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.827 * [taylor]: Taking taylor expansion of 1 in n 0.827 * [backup-simplify]: Simplify 1 into 1 0.827 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 0.827 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.827 * [taylor]: Taking taylor expansion of -2 in n 0.827 * [backup-simplify]: Simplify -2 into -2 0.827 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.827 * [taylor]: Taking taylor expansion of PI in n 0.827 * [backup-simplify]: Simplify PI into PI 0.827 * [taylor]: Taking taylor expansion of n in n 0.827 * [backup-simplify]: Simplify 0 into 0 0.827 * [backup-simplify]: Simplify 1 into 1 0.827 * [backup-simplify]: Simplify (/ PI 1) into PI 0.828 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.828 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 0.828 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 0.828 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 0.829 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.830 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 0.831 * [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))))) 0.831 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 0.831 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 0.831 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 0.831 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 0.831 * [taylor]: Taking taylor expansion of 1/2 in n 0.831 * [backup-simplify]: Simplify 1/2 into 1/2 0.831 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 0.831 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.831 * [taylor]: Taking taylor expansion of k in n 0.831 * [backup-simplify]: Simplify k into k 0.831 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.831 * [taylor]: Taking taylor expansion of 1 in n 0.831 * [backup-simplify]: Simplify 1 into 1 0.831 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 0.831 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.831 * [taylor]: Taking taylor expansion of -2 in n 0.831 * [backup-simplify]: Simplify -2 into -2 0.831 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.831 * [taylor]: Taking taylor expansion of PI in n 0.831 * [backup-simplify]: Simplify PI into PI 0.831 * [taylor]: Taking taylor expansion of n in n 0.831 * [backup-simplify]: Simplify 0 into 0 0.831 * [backup-simplify]: Simplify 1 into 1 0.831 * [backup-simplify]: Simplify (/ PI 1) into PI 0.832 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.832 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 0.832 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 0.832 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 0.833 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.834 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 0.835 * [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))))) 0.835 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 0.835 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 0.835 * [taylor]: Taking taylor expansion of 1/2 in k 0.835 * [backup-simplify]: Simplify 1/2 into 1/2 0.835 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 0.835 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 0.835 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.835 * [taylor]: Taking taylor expansion of k in k 0.835 * [backup-simplify]: Simplify 0 into 0 0.835 * [backup-simplify]: Simplify 1 into 1 0.835 * [backup-simplify]: Simplify (/ 1 1) into 1 0.835 * [taylor]: Taking taylor expansion of 1 in k 0.835 * [backup-simplify]: Simplify 1 into 1 0.835 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 0.835 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 0.835 * [taylor]: Taking taylor expansion of (* -2 PI) in k 0.835 * [taylor]: Taking taylor expansion of -2 in k 0.835 * [backup-simplify]: Simplify -2 into -2 0.835 * [taylor]: Taking taylor expansion of PI in k 0.835 * [backup-simplify]: Simplify PI into PI 0.836 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.836 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 0.836 * [taylor]: Taking taylor expansion of (log n) in k 0.836 * [taylor]: Taking taylor expansion of n in k 0.836 * [backup-simplify]: Simplify n into n 0.836 * [backup-simplify]: Simplify (log n) into (log n) 0.837 * [backup-simplify]: Simplify (+ 1 0) into 1 0.837 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 0.838 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 0.839 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 0.840 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 0.841 * [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))))) 0.842 * [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))))) 0.843 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.844 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 0.846 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 0.846 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.846 * [backup-simplify]: Simplify (+ 0 0) into 0 0.847 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 0.848 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.849 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 0.851 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.851 * [taylor]: Taking taylor expansion of 0 in k 0.851 * [backup-simplify]: Simplify 0 into 0 0.851 * [backup-simplify]: Simplify 0 into 0 0.851 * [backup-simplify]: Simplify 0 into 0 0.852 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.853 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 0.855 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0 0.855 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.855 * [backup-simplify]: Simplify (+ 0 0) into 0 0.856 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 0.857 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.858 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 0.859 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.859 * [taylor]: Taking taylor expansion of 0 in k 0.859 * [backup-simplify]: Simplify 0 into 0 0.859 * [backup-simplify]: Simplify 0 into 0 0.859 * [backup-simplify]: Simplify 0 into 0 0.859 * [backup-simplify]: Simplify 0 into 0 0.860 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.861 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.864 * [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 0.864 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.865 * [backup-simplify]: Simplify (+ 0 0) into 0 0.865 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 0.866 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.867 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 0.872 * [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 0.872 * [taylor]: Taking taylor expansion of 0 in k 0.872 * [backup-simplify]: Simplify 0 into 0 0.872 * [backup-simplify]: Simplify 0 into 0 0.873 * [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)))))) 0.873 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.873 * [backup-simplify]: Simplify (/ 1 (sqrt k)) into (sqrt (/ 1 k)) 0.873 * [approximate]: Taking taylor expansion of (sqrt (/ 1 k)) in (k) around 0 0.873 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.873 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.873 * [taylor]: Taking taylor expansion of k in k 0.873 * [backup-simplify]: Simplify 0 into 0 0.873 * [backup-simplify]: Simplify 1 into 1 0.873 * [backup-simplify]: Simplify (/ 1 1) into 1 0.874 * [backup-simplify]: Simplify (sqrt 0) into 0 0.875 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.875 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.875 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.875 * [taylor]: Taking taylor expansion of k in k 0.875 * [backup-simplify]: Simplify 0 into 0 0.875 * [backup-simplify]: Simplify 1 into 1 0.875 * [backup-simplify]: Simplify (/ 1 1) into 1 0.875 * [backup-simplify]: Simplify (sqrt 0) into 0 0.876 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.876 * [backup-simplify]: Simplify 0 into 0 0.876 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.879 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.879 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.882 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.882 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.883 * [backup-simplify]: Simplify (+ (* +nan.0 (pow k 2)) (+ (* +nan.0 k) +nan.0)) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 0.883 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 k))) into (sqrt k) 0.883 * [approximate]: Taking taylor expansion of (sqrt k) in (k) around 0 0.883 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.883 * [taylor]: Taking taylor expansion of k in k 0.883 * [backup-simplify]: Simplify 0 into 0 0.883 * [backup-simplify]: Simplify 1 into 1 0.883 * [backup-simplify]: Simplify (sqrt 0) into 0 0.884 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.884 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.884 * [taylor]: Taking taylor expansion of k in k 0.884 * [backup-simplify]: Simplify 0 into 0 0.884 * [backup-simplify]: Simplify 1 into 1 0.884 * [backup-simplify]: Simplify (sqrt 0) into 0 0.885 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.885 * [backup-simplify]: Simplify 0 into 0 0.885 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.887 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.887 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.889 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.889 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.890 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 k) 3)) (+ (* +nan.0 (pow (/ 1 k) 2)) (* +nan.0 (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 0.890 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 (- k)))) into (/ 1 (sqrt (/ -1 k))) 0.890 * [approximate]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in (k) around 0 0.890 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 0.890 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.890 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.890 * [taylor]: Taking taylor expansion of -1 in k 0.890 * [backup-simplify]: Simplify -1 into -1 0.890 * [taylor]: Taking taylor expansion of k in k 0.890 * [backup-simplify]: Simplify 0 into 0 0.890 * [backup-simplify]: Simplify 1 into 1 0.890 * [backup-simplify]: Simplify (/ -1 1) into -1 0.890 * [backup-simplify]: Simplify (sqrt 0) into 0 0.891 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.891 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 0.891 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 0.891 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.891 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.891 * [taylor]: Taking taylor expansion of -1 in k 0.891 * [backup-simplify]: Simplify -1 into -1 0.891 * [taylor]: Taking taylor expansion of k in k 0.892 * [backup-simplify]: Simplify 0 into 0 0.892 * [backup-simplify]: Simplify 1 into 1 0.892 * [backup-simplify]: Simplify (/ -1 1) into -1 0.892 * [backup-simplify]: Simplify (sqrt 0) into 0 0.893 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.893 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 0.893 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.894 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.896 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.897 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 0.897 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.898 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.900 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.902 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 0.903 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.903 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 0.903 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.904 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 0.904 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 0.904 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.904 * [taylor]: Taking taylor expansion of 2 in n 0.904 * [backup-simplify]: Simplify 2 into 2 0.904 * [taylor]: Taking taylor expansion of (* n PI) in n 0.904 * [taylor]: Taking taylor expansion of n in n 0.904 * [backup-simplify]: Simplify 0 into 0 0.904 * [backup-simplify]: Simplify 1 into 1 0.904 * [taylor]: Taking taylor expansion of PI in n 0.904 * [backup-simplify]: Simplify PI into PI 0.904 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.904 * [taylor]: Taking taylor expansion of 2 in n 0.904 * [backup-simplify]: Simplify 2 into 2 0.904 * [taylor]: Taking taylor expansion of (* n PI) in n 0.904 * [taylor]: Taking taylor expansion of n in n 0.904 * [backup-simplify]: Simplify 0 into 0 0.904 * [backup-simplify]: Simplify 1 into 1 0.904 * [taylor]: Taking taylor expansion of PI in n 0.904 * [backup-simplify]: Simplify PI into PI 0.904 * [backup-simplify]: Simplify (* 0 PI) into 0 0.904 * [backup-simplify]: Simplify (* 2 0) into 0 0.905 * [backup-simplify]: Simplify 0 into 0 0.905 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.906 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.907 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.907 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 0.908 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 0.908 * [backup-simplify]: Simplify 0 into 0 0.909 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 0.910 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 0.910 * [backup-simplify]: Simplify 0 into 0 0.911 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.913 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 0.913 * [backup-simplify]: Simplify 0 into 0 0.914 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 0.916 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 0.916 * [backup-simplify]: Simplify 0 into 0 0.917 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 0.919 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 0.919 * [backup-simplify]: Simplify 0 into 0 0.921 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 0.923 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 0.923 * [backup-simplify]: Simplify 0 into 0 0.924 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 0.924 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 n)) into (* 2 (/ PI n)) 0.924 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 0.924 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.924 * [taylor]: Taking taylor expansion of 2 in n 0.924 * [backup-simplify]: Simplify 2 into 2 0.924 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.924 * [taylor]: Taking taylor expansion of PI in n 0.924 * [backup-simplify]: Simplify PI into PI 0.924 * [taylor]: Taking taylor expansion of n in n 0.924 * [backup-simplify]: Simplify 0 into 0 0.924 * [backup-simplify]: Simplify 1 into 1 0.925 * [backup-simplify]: Simplify (/ PI 1) into PI 0.925 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.925 * [taylor]: Taking taylor expansion of 2 in n 0.925 * [backup-simplify]: Simplify 2 into 2 0.925 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.925 * [taylor]: Taking taylor expansion of PI in n 0.925 * [backup-simplify]: Simplify PI into PI 0.925 * [taylor]: Taking taylor expansion of n in n 0.925 * [backup-simplify]: Simplify 0 into 0 0.925 * [backup-simplify]: Simplify 1 into 1 0.926 * [backup-simplify]: Simplify (/ PI 1) into PI 0.926 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.926 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.927 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.928 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 0.928 * [backup-simplify]: Simplify 0 into 0 0.929 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.930 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 0.930 * [backup-simplify]: Simplify 0 into 0 0.931 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.933 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.933 * [backup-simplify]: Simplify 0 into 0 0.934 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.935 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.935 * [backup-simplify]: Simplify 0 into 0 0.936 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.938 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 0.938 * [backup-simplify]: Simplify 0 into 0 0.939 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.941 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 0.941 * [backup-simplify]: Simplify 0 into 0 0.941 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 0.942 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (- n))) into (* -2 (/ PI n)) 0.942 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 0.942 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.942 * [taylor]: Taking taylor expansion of -2 in n 0.942 * [backup-simplify]: Simplify -2 into -2 0.942 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.942 * [taylor]: Taking taylor expansion of PI in n 0.942 * [backup-simplify]: Simplify PI into PI 0.942 * [taylor]: Taking taylor expansion of n in n 0.942 * [backup-simplify]: Simplify 0 into 0 0.942 * [backup-simplify]: Simplify 1 into 1 0.942 * [backup-simplify]: Simplify (/ PI 1) into PI 0.942 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.942 * [taylor]: Taking taylor expansion of -2 in n 0.942 * [backup-simplify]: Simplify -2 into -2 0.942 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.943 * [taylor]: Taking taylor expansion of PI in n 0.943 * [backup-simplify]: Simplify PI into PI 0.943 * [taylor]: Taking taylor expansion of n in n 0.943 * [backup-simplify]: Simplify 0 into 0 0.943 * [backup-simplify]: Simplify 1 into 1 0.943 * [backup-simplify]: Simplify (/ PI 1) into PI 0.944 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.944 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.945 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.946 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 0.946 * [backup-simplify]: Simplify 0 into 0 0.947 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.948 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 0.948 * [backup-simplify]: Simplify 0 into 0 0.949 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.950 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.950 * [backup-simplify]: Simplify 0 into 0 0.951 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.953 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.953 * [backup-simplify]: Simplify 0 into 0 0.954 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.955 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 0.955 * [backup-simplify]: Simplify 0 into 0 0.956 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.958 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 0.958 * [backup-simplify]: Simplify 0 into 0 0.959 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 0.959 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.959 * [backup-simplify]: Simplify (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) 0.959 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (k n) around 0 0.960 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 0.960 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.960 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.960 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.960 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.960 * [taylor]: Taking taylor expansion of 1/2 in n 0.960 * [backup-simplify]: Simplify 1/2 into 1/2 0.960 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.960 * [taylor]: Taking taylor expansion of 1 in n 0.960 * [backup-simplify]: Simplify 1 into 1 0.960 * [taylor]: Taking taylor expansion of k in n 0.960 * [backup-simplify]: Simplify k into k 0.960 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.960 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.960 * [taylor]: Taking taylor expansion of 2 in n 0.960 * [backup-simplify]: Simplify 2 into 2 0.960 * [taylor]: Taking taylor expansion of (* n PI) in n 0.960 * [taylor]: Taking taylor expansion of n in n 0.960 * [backup-simplify]: Simplify 0 into 0 0.960 * [backup-simplify]: Simplify 1 into 1 0.960 * [taylor]: Taking taylor expansion of PI in n 0.960 * [backup-simplify]: Simplify PI into PI 0.960 * [backup-simplify]: Simplify (* 0 PI) into 0 0.961 * [backup-simplify]: Simplify (* 2 0) into 0 0.962 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.964 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.965 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.965 * [backup-simplify]: Simplify (- k) into (- k) 0.965 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.965 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 0.966 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.967 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 0.969 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0.969 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.969 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.969 * [taylor]: Taking taylor expansion of k in n 0.969 * [backup-simplify]: Simplify k into k 0.969 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.969 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 0.969 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.969 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 0.969 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 0.969 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 0.969 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 0.969 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 0.969 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 0.969 * [taylor]: Taking taylor expansion of 1/2 in k 0.969 * [backup-simplify]: Simplify 1/2 into 1/2 0.969 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.969 * [taylor]: Taking taylor expansion of 1 in k 0.969 * [backup-simplify]: Simplify 1 into 1 0.969 * [taylor]: Taking taylor expansion of k in k 0.969 * [backup-simplify]: Simplify 0 into 0 0.969 * [backup-simplify]: Simplify 1 into 1 0.969 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 0.969 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 0.969 * [taylor]: Taking taylor expansion of 2 in k 0.970 * [backup-simplify]: Simplify 2 into 2 0.970 * [taylor]: Taking taylor expansion of (* n PI) in k 0.970 * [taylor]: Taking taylor expansion of n in k 0.970 * [backup-simplify]: Simplify n into n 0.970 * [taylor]: Taking taylor expansion of PI in k 0.970 * [backup-simplify]: Simplify PI into PI 0.970 * [backup-simplify]: Simplify (* n PI) into (* n PI) 0.970 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 0.970 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 0.970 * [backup-simplify]: Simplify (- 0) into 0 0.971 * [backup-simplify]: Simplify (+ 1 0) into 1 0.971 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.971 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 0.971 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 0.971 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.971 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.972 * [taylor]: Taking taylor expansion of k in k 0.972 * [backup-simplify]: Simplify 0 into 0 0.972 * [backup-simplify]: Simplify 1 into 1 0.972 * [backup-simplify]: Simplify (/ 1 1) into 1 0.972 * [backup-simplify]: Simplify (sqrt 0) into 0 0.974 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.974 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 0.974 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 0.974 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 0.974 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 0.974 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 0.974 * [taylor]: Taking taylor expansion of 1/2 in k 0.974 * [backup-simplify]: Simplify 1/2 into 1/2 0.974 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.974 * [taylor]: Taking taylor expansion of 1 in k 0.974 * [backup-simplify]: Simplify 1 into 1 0.974 * [taylor]: Taking taylor expansion of k in k 0.974 * [backup-simplify]: Simplify 0 into 0 0.974 * [backup-simplify]: Simplify 1 into 1 0.974 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 0.974 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 0.974 * [taylor]: Taking taylor expansion of 2 in k 0.974 * [backup-simplify]: Simplify 2 into 2 0.975 * [taylor]: Taking taylor expansion of (* n PI) in k 0.975 * [taylor]: Taking taylor expansion of n in k 0.975 * [backup-simplify]: Simplify n into n 0.975 * [taylor]: Taking taylor expansion of PI in k 0.975 * [backup-simplify]: Simplify PI into PI 0.975 * [backup-simplify]: Simplify (* n PI) into (* n PI) 0.975 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 0.975 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 0.975 * [backup-simplify]: Simplify (- 0) into 0 0.976 * [backup-simplify]: Simplify (+ 1 0) into 1 0.976 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.976 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 0.977 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 0.977 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.977 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.977 * [taylor]: Taking taylor expansion of k in k 0.977 * [backup-simplify]: Simplify 0 into 0 0.977 * [backup-simplify]: Simplify 1 into 1 0.977 * [backup-simplify]: Simplify (/ 1 1) into 1 0.977 * [backup-simplify]: Simplify (sqrt 0) into 0 0.979 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.979 * [backup-simplify]: Simplify (* (pow (* 2 (* n PI)) 1/2) 0) into 0 0.979 * [taylor]: Taking taylor expansion of 0 in n 0.979 * [backup-simplify]: Simplify 0 into 0 0.979 * [backup-simplify]: Simplify 0 into 0 0.980 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 0.981 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 0.981 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 0.982 * [backup-simplify]: Simplify (- 1) into -1 0.982 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.983 * [backup-simplify]: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2 0.983 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 0.984 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1)))) into (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) 0.984 * [backup-simplify]: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) 0.984 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 0.984 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 0.984 * [taylor]: Taking taylor expansion of +nan.0 in n 0.984 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.984 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 0.984 * [taylor]: Taking taylor expansion of (sqrt 2) in n 0.984 * [taylor]: Taking taylor expansion of 2 in n 0.984 * [backup-simplify]: Simplify 2 into 2 0.985 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.986 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.986 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 0.986 * [taylor]: Taking taylor expansion of (* n PI) in n 0.986 * [taylor]: Taking taylor expansion of n in n 0.986 * [backup-simplify]: Simplify 0 into 0 0.986 * [backup-simplify]: Simplify 1 into 1 0.986 * [taylor]: Taking taylor expansion of PI in n 0.986 * [backup-simplify]: Simplify PI into PI 0.986 * [backup-simplify]: Simplify (* 0 PI) into 0 0.988 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.988 * [backup-simplify]: Simplify (sqrt 0) into 0 0.990 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 0.990 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 0.991 * [backup-simplify]: Simplify (* +nan.0 0) into 0 0.991 * [backup-simplify]: Simplify (- 0) into 0 0.991 * [backup-simplify]: Simplify 0 into 0 0.991 * [backup-simplify]: Simplify 0 into 0 0.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.998 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.999 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 1.000 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 1.002 * [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 1.002 * [backup-simplify]: Simplify (- 0) into 0 1.003 * [backup-simplify]: Simplify (+ 0 0) into 0 1.004 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0 1.005 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 1.005 * [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))) 1.006 * [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))))))) 1.006 * [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 1.006 * [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 1.006 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 1.006 * [taylor]: Taking taylor expansion of +nan.0 in n 1.006 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.006 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 1.006 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 1.006 * [taylor]: Taking taylor expansion of (sqrt 2) in n 1.006 * [taylor]: Taking taylor expansion of 2 in n 1.006 * [backup-simplify]: Simplify 2 into 2 1.006 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 1.007 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1.007 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 1.007 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 1.007 * [taylor]: Taking taylor expansion of 2 in n 1.007 * [backup-simplify]: Simplify 2 into 2 1.007 * [taylor]: Taking taylor expansion of (* n PI) in n 1.007 * [taylor]: Taking taylor expansion of n in n 1.007 * [backup-simplify]: Simplify 0 into 0 1.007 * [backup-simplify]: Simplify 1 into 1 1.007 * [taylor]: Taking taylor expansion of PI in n 1.007 * [backup-simplify]: Simplify PI into PI 1.007 * [backup-simplify]: Simplify (* 0 PI) into 0 1.007 * [backup-simplify]: Simplify (* 2 0) into 0 1.008 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.009 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1.010 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.010 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 1.010 * [taylor]: Taking taylor expansion of (* n PI) in n 1.010 * [taylor]: Taking taylor expansion of n in n 1.010 * [backup-simplify]: Simplify 0 into 0 1.010 * [backup-simplify]: Simplify 1 into 1 1.010 * [taylor]: Taking taylor expansion of PI in n 1.010 * [backup-simplify]: Simplify PI into PI 1.010 * [backup-simplify]: Simplify (* 0 PI) into 0 1.011 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.012 * [backup-simplify]: Simplify (sqrt 0) into 0 1.013 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1.013 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1.013 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1.013 * [taylor]: Taking taylor expansion of +nan.0 in n 1.013 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.013 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1.013 * [taylor]: Taking taylor expansion of (sqrt 2) in n 1.013 * [taylor]: Taking taylor expansion of 2 in n 1.013 * [backup-simplify]: Simplify 2 into 2 1.013 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 1.013 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1.013 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 1.013 * [taylor]: Taking taylor expansion of (* n PI) in n 1.013 * [taylor]: Taking taylor expansion of n in n 1.013 * [backup-simplify]: Simplify 0 into 0 1.013 * [backup-simplify]: Simplify 1 into 1 1.013 * [taylor]: Taking taylor expansion of PI in n 1.013 * [backup-simplify]: Simplify PI into PI 1.014 * [backup-simplify]: Simplify (* 0 PI) into 0 1.015 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.015 * [backup-simplify]: Simplify (sqrt 0) into 0 1.016 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1.017 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1.017 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 1.018 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 1.019 * [backup-simplify]: Simplify (* +nan.0 0) into 0 1.019 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 1.019 * [backup-simplify]: Simplify (* +nan.0 0) into 0 1.019 * [backup-simplify]: Simplify (- 0) into 0 1.020 * [backup-simplify]: Simplify (+ 0 0) into 0 1.020 * [backup-simplify]: Simplify (- 0) into 0 1.020 * [backup-simplify]: Simplify 0 into 0 1.022 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1.025 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1.027 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1.028 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1.028 * [backup-simplify]: Simplify 0 into 0 1.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.032 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.032 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.034 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 1.036 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 (* n PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 (* n PI)) 1)))) 6) into 0 1.037 * [backup-simplify]: Simplify (- 0) into 0 1.037 * [backup-simplify]: Simplify (+ 0 0) into 0 1.039 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))) into 0 1.040 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0 1.042 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3))) 1.043 * [backup-simplify]: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (+ (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) +nan.0) (+ (* (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) +nan.0) (* (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3))) 0)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))))))) 1.043 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))))))) in n 1.043 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))))))) in n 1.043 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 1.043 * [taylor]: Taking taylor expansion of +nan.0 in n 1.043 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.043 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 1.043 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 1.043 * [taylor]: Taking taylor expansion of (sqrt 2) in n 1.043 * [taylor]: Taking taylor expansion of 2 in n 1.043 * [backup-simplify]: Simplify 2 into 2 1.044 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 1.045 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1.045 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 1.045 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 1.045 * [taylor]: Taking taylor expansion of 2 in n 1.045 * [backup-simplify]: Simplify 2 into 2 1.045 * [taylor]: Taking taylor expansion of (* n PI) in n 1.045 * [taylor]: Taking taylor expansion of n in n 1.045 * [backup-simplify]: Simplify 0 into 0 1.045 * [backup-simplify]: Simplify 1 into 1 1.045 * [taylor]: Taking taylor expansion of PI in n 1.045 * [backup-simplify]: Simplify PI into PI 1.045 * [backup-simplify]: Simplify (* 0 PI) into 0 1.046 * [backup-simplify]: Simplify (* 2 0) into 0 1.047 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.049 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1.050 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.050 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 1.050 * [taylor]: Taking taylor expansion of (* n PI) in n 1.050 * [taylor]: Taking taylor expansion of n in n 1.050 * [backup-simplify]: Simplify 0 into 0 1.050 * [backup-simplify]: Simplify 1 into 1 1.050 * [taylor]: Taking taylor expansion of PI in n 1.050 * [backup-simplify]: Simplify PI into PI 1.051 * [backup-simplify]: Simplify (* 0 PI) into 0 1.052 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.052 * [backup-simplify]: Simplify (sqrt 0) into 0 1.054 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1.054 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))))) in n 1.054 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))))) in n 1.054 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1.054 * [taylor]: Taking taylor expansion of +nan.0 in n 1.054 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.054 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1.054 * [taylor]: Taking taylor expansion of (sqrt 2) in n 1.054 * [taylor]: Taking taylor expansion of 2 in n 1.054 * [backup-simplify]: Simplify 2 into 2 1.055 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 1.055 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1.055 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 1.055 * [taylor]: Taking taylor expansion of (* n PI) in n 1.055 * [taylor]: Taking taylor expansion of n in n 1.055 * [backup-simplify]: Simplify 0 into 0 1.055 * [backup-simplify]: Simplify 1 into 1 1.055 * [taylor]: Taking taylor expansion of PI in n 1.056 * [backup-simplify]: Simplify PI into PI 1.056 * [backup-simplify]: Simplify (* 0 PI) into 0 1.058 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.058 * [backup-simplify]: Simplify (sqrt 0) into 0 1.059 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1.059 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))) in n 1.059 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n 1.059 * [taylor]: Taking taylor expansion of +nan.0 in n 1.059 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.059 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n 1.060 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n 1.060 * [taylor]: Taking taylor expansion of (sqrt 2) in n 1.060 * [taylor]: Taking taylor expansion of 2 in n 1.060 * [backup-simplify]: Simplify 2 into 2 1.060 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 1.061 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1.061 * [taylor]: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n 1.061 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 1.061 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 1.061 * [taylor]: Taking taylor expansion of 2 in n 1.061 * [backup-simplify]: Simplify 2 into 2 1.061 * [taylor]: Taking taylor expansion of (* n PI) in n 1.061 * [taylor]: Taking taylor expansion of n in n 1.061 * [backup-simplify]: Simplify 0 into 0 1.061 * [backup-simplify]: Simplify 1 into 1 1.061 * [taylor]: Taking taylor expansion of PI in n 1.061 * [backup-simplify]: Simplify PI into PI 1.061 * [backup-simplify]: Simplify (* 0 PI) into 0 1.062 * [backup-simplify]: Simplify (* 2 0) into 0 1.063 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.065 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1.066 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.067 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1.067 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 1.068 * [taylor]: Taking taylor expansion of (* n PI) in n 1.068 * [taylor]: Taking taylor expansion of n in n 1.068 * [backup-simplify]: Simplify 0 into 0 1.068 * [backup-simplify]: Simplify 1 into 1 1.068 * [taylor]: Taking taylor expansion of PI in n 1.068 * [backup-simplify]: Simplify PI into PI 1.068 * [backup-simplify]: Simplify (* 0 PI) into 0 1.070 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.070 * [backup-simplify]: Simplify (sqrt 0) into 0 1.072 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1.073 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1.074 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 1.076 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 1.076 * [backup-simplify]: Simplify (* +nan.0 0) into 0 1.077 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 1.077 * [backup-simplify]: Simplify (* +nan.0 0) into 0 1.079 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1.080 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1.082 * [backup-simplify]: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2) 1.084 * [backup-simplify]: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 1.085 * [backup-simplify]: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0 1.085 * [backup-simplify]: Simplify (* +nan.0 0) into 0 1.085 * [backup-simplify]: Simplify (- 0) into 0 1.086 * [backup-simplify]: Simplify (+ 0 0) into 0 1.086 * [backup-simplify]: Simplify (- 0) into 0 1.086 * [backup-simplify]: Simplify (+ 0 0) into 0 1.086 * [backup-simplify]: Simplify (- 0) into 0 1.086 * [backup-simplify]: Simplify 0 into 0 1.087 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1.088 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1.089 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1.090 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1.090 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1.092 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) (* +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 1.096 * [backup-simplify]: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 1.098 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1.101 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1.103 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1.110 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) (- (* +nan.0 (* (sqrt 2) PI)))) into (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))))) 1.117 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1.124 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1.125 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1.130 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1.131 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1.136 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1.145 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1.150 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1.153 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1.167 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) (* n k)) (* (- (* +nan.0 (* (sqrt 2) PI))) (* n 1)))) into (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))) 1.168 * [backup-simplify]: Simplify (* (/ 1 (sqrt (/ 1 k))) (pow (* (* 2 PI) (/ 1 n)) (/ (- 1 (/ 1 k)) 2))) into (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) 1.168 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (k n) around 0 1.168 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 1.168 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 1.168 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1.168 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1.168 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 1.168 * [taylor]: Taking taylor expansion of 1/2 in n 1.168 * [backup-simplify]: Simplify 1/2 into 1/2 1.168 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 1.169 * [taylor]: Taking taylor expansion of 1 in n 1.169 * [backup-simplify]: Simplify 1 into 1 1.169 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.169 * [taylor]: Taking taylor expansion of k in n 1.169 * [backup-simplify]: Simplify k into k 1.169 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.169 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.169 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.169 * [taylor]: Taking taylor expansion of 2 in n 1.169 * [backup-simplify]: Simplify 2 into 2 1.169 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.169 * [taylor]: Taking taylor expansion of PI in n 1.169 * [backup-simplify]: Simplify PI into PI 1.169 * [taylor]: Taking taylor expansion of n in n 1.169 * [backup-simplify]: Simplify 0 into 0 1.169 * [backup-simplify]: Simplify 1 into 1 1.169 * [backup-simplify]: Simplify (/ PI 1) into PI 1.170 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.171 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.171 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.171 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1.171 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 1.173 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.174 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 1.175 * [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))))) 1.175 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.175 * [taylor]: Taking taylor expansion of k in n 1.175 * [backup-simplify]: Simplify k into k 1.175 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 1.175 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 1.175 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 1.175 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 1.175 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1.176 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1.176 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 1.176 * [taylor]: Taking taylor expansion of 1/2 in k 1.176 * [backup-simplify]: Simplify 1/2 into 1/2 1.176 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 1.176 * [taylor]: Taking taylor expansion of 1 in k 1.176 * [backup-simplify]: Simplify 1 into 1 1.176 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.176 * [taylor]: Taking taylor expansion of k in k 1.176 * [backup-simplify]: Simplify 0 into 0 1.176 * [backup-simplify]: Simplify 1 into 1 1.176 * [backup-simplify]: Simplify (/ 1 1) into 1 1.176 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1.176 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 1.176 * [taylor]: Taking taylor expansion of 2 in k 1.176 * [backup-simplify]: Simplify 2 into 2 1.176 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.176 * [taylor]: Taking taylor expansion of PI in k 1.176 * [backup-simplify]: Simplify PI into PI 1.176 * [taylor]: Taking taylor expansion of n in k 1.176 * [backup-simplify]: Simplify n into n 1.176 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.177 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1.177 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1.177 * [backup-simplify]: Simplify (- 1) into -1 1.177 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.178 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 1.178 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1.178 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 1.178 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.178 * [taylor]: Taking taylor expansion of k in k 1.178 * [backup-simplify]: Simplify 0 into 0 1.178 * [backup-simplify]: Simplify 1 into 1 1.179 * [backup-simplify]: Simplify (sqrt 0) into 0 1.180 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.180 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 1.180 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 1.180 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1.180 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1.180 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 1.180 * [taylor]: Taking taylor expansion of 1/2 in k 1.180 * [backup-simplify]: Simplify 1/2 into 1/2 1.180 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 1.180 * [taylor]: Taking taylor expansion of 1 in k 1.180 * [backup-simplify]: Simplify 1 into 1 1.181 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.181 * [taylor]: Taking taylor expansion of k in k 1.181 * [backup-simplify]: Simplify 0 into 0 1.181 * [backup-simplify]: Simplify 1 into 1 1.181 * [backup-simplify]: Simplify (/ 1 1) into 1 1.181 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1.181 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 1.181 * [taylor]: Taking taylor expansion of 2 in k 1.181 * [backup-simplify]: Simplify 2 into 2 1.181 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.181 * [taylor]: Taking taylor expansion of PI in k 1.181 * [backup-simplify]: Simplify PI into PI 1.181 * [taylor]: Taking taylor expansion of n in k 1.181 * [backup-simplify]: Simplify n into n 1.182 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.182 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1.182 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1.182 * [backup-simplify]: Simplify (- 1) into -1 1.182 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.183 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 1.183 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1.183 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 1.183 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.183 * [taylor]: Taking taylor expansion of k in k 1.183 * [backup-simplify]: Simplify 0 into 0 1.183 * [backup-simplify]: Simplify 1 into 1 1.184 * [backup-simplify]: Simplify (sqrt 0) into 0 1.185 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.186 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 0) into 0 1.186 * [taylor]: Taking taylor expansion of 0 in n 1.186 * [backup-simplify]: Simplify 0 into 0 1.186 * [backup-simplify]: Simplify 0 into 0 1.186 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) 1.186 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 1.186 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 1.186 * [taylor]: Taking taylor expansion of +nan.0 in n 1.186 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.186 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 1.186 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 1.187 * [taylor]: Taking taylor expansion of 1/2 in n 1.187 * [backup-simplify]: Simplify 1/2 into 1/2 1.187 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 1.187 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 1.187 * [taylor]: Taking taylor expansion of 1 in n 1.187 * [backup-simplify]: Simplify 1 into 1 1.187 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.187 * [taylor]: Taking taylor expansion of k in n 1.187 * [backup-simplify]: Simplify k into k 1.187 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.187 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.187 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.187 * [taylor]: Taking taylor expansion of 2 in n 1.187 * [backup-simplify]: Simplify 2 into 2 1.187 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.187 * [taylor]: Taking taylor expansion of PI in n 1.187 * [backup-simplify]: Simplify PI into PI 1.187 * [taylor]: Taking taylor expansion of n in n 1.187 * [backup-simplify]: Simplify 0 into 0 1.187 * [backup-simplify]: Simplify 1 into 1 1.188 * [backup-simplify]: Simplify (/ PI 1) into PI 1.188 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.189 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.189 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.189 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1.190 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.190 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 1.191 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 1.192 * [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))))) 1.192 * [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)))))) 1.193 * [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))))))) 1.194 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 1.194 * [backup-simplify]: Simplify 0 into 0 1.196 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.196 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) 1.196 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 1.196 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 1.196 * [taylor]: Taking taylor expansion of +nan.0 in n 1.196 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.196 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 1.196 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 1.196 * [taylor]: Taking taylor expansion of 1/2 in n 1.196 * [backup-simplify]: Simplify 1/2 into 1/2 1.196 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 1.196 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 1.196 * [taylor]: Taking taylor expansion of 1 in n 1.196 * [backup-simplify]: Simplify 1 into 1 1.196 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.196 * [taylor]: Taking taylor expansion of k in n 1.196 * [backup-simplify]: Simplify k into k 1.196 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.196 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.196 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.197 * [taylor]: Taking taylor expansion of 2 in n 1.197 * [backup-simplify]: Simplify 2 into 2 1.197 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.197 * [taylor]: Taking taylor expansion of PI in n 1.197 * [backup-simplify]: Simplify PI into PI 1.197 * [taylor]: Taking taylor expansion of n in n 1.197 * [backup-simplify]: Simplify 0 into 0 1.197 * [backup-simplify]: Simplify 1 into 1 1.197 * [backup-simplify]: Simplify (/ PI 1) into PI 1.197 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.198 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.198 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.198 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1.199 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.199 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 1.200 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 1.201 * [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))))) 1.201 * [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)))))) 1.202 * [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))))))) 1.203 * [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))))))) 1.203 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.204 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 1.205 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1.205 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.205 * [backup-simplify]: Simplify (- 0) into 0 1.205 * [backup-simplify]: Simplify (+ 0 0) into 0 1.206 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.207 * [backup-simplify]: Simplify (+ (* (- 1 (/ 1 k)) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1.208 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into 0 1.209 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.210 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into 0 1.210 * [backup-simplify]: Simplify (- 0) into 0 1.210 * [backup-simplify]: Simplify 0 into 0 1.210 * [backup-simplify]: Simplify 0 into 0 1.213 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.213 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) 1.213 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 1.213 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 1.213 * [taylor]: Taking taylor expansion of +nan.0 in n 1.213 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.213 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 1.213 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 1.214 * [taylor]: Taking taylor expansion of 1/2 in n 1.214 * [backup-simplify]: Simplify 1/2 into 1/2 1.214 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 1.214 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 1.214 * [taylor]: Taking taylor expansion of 1 in n 1.214 * [backup-simplify]: Simplify 1 into 1 1.214 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.214 * [taylor]: Taking taylor expansion of k in n 1.214 * [backup-simplify]: Simplify k into k 1.214 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.214 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.214 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.214 * [taylor]: Taking taylor expansion of 2 in n 1.214 * [backup-simplify]: Simplify 2 into 2 1.214 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.214 * [taylor]: Taking taylor expansion of PI in n 1.214 * [backup-simplify]: Simplify PI into PI 1.214 * [taylor]: Taking taylor expansion of n in n 1.214 * [backup-simplify]: Simplify 0 into 0 1.214 * [backup-simplify]: Simplify 1 into 1 1.214 * [backup-simplify]: Simplify (/ PI 1) into PI 1.214 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.215 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.215 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.215 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1.216 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.217 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 1.218 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 1.219 * [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))))) 1.220 * [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)))))) 1.221 * [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))))))) 1.222 * [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))))))) 1.226 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3)))))))) 1.229 * [backup-simplify]: Simplify (* (/ 1 (sqrt (/ 1 (- k)))) (pow (* (* 2 PI) (/ 1 (- n))) (/ (- 1 (/ 1 (- k))) 2))) into (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) 1.229 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (k n) around 0 1.230 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 1.230 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 1.230 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 1.230 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 1.230 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 1.230 * [taylor]: Taking taylor expansion of 1/2 in n 1.230 * [backup-simplify]: Simplify 1/2 into 1/2 1.230 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 1.230 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.230 * [taylor]: Taking taylor expansion of k in n 1.230 * [backup-simplify]: Simplify k into k 1.230 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.230 * [taylor]: Taking taylor expansion of 1 in n 1.230 * [backup-simplify]: Simplify 1 into 1 1.230 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.230 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.230 * [taylor]: Taking taylor expansion of -2 in n 1.230 * [backup-simplify]: Simplify -2 into -2 1.230 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.230 * [taylor]: Taking taylor expansion of PI in n 1.230 * [backup-simplify]: Simplify PI into PI 1.230 * [taylor]: Taking taylor expansion of n in n 1.230 * [backup-simplify]: Simplify 0 into 0 1.230 * [backup-simplify]: Simplify 1 into 1 1.231 * [backup-simplify]: Simplify (/ PI 1) into PI 1.232 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.233 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.233 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1.233 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 1.234 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.235 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 1.236 * [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))))) 1.236 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.236 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.237 * [taylor]: Taking taylor expansion of -1 in n 1.237 * [backup-simplify]: Simplify -1 into -1 1.237 * [taylor]: Taking taylor expansion of k in n 1.237 * [backup-simplify]: Simplify k into k 1.237 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 1.237 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1.237 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1.237 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1.238 * [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))) 1.238 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 1.238 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 1.238 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 1.238 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 1.238 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 1.238 * [taylor]: Taking taylor expansion of 1/2 in k 1.239 * [backup-simplify]: Simplify 1/2 into 1/2 1.239 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 1.239 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.239 * [taylor]: Taking taylor expansion of k in k 1.239 * [backup-simplify]: Simplify 0 into 0 1.239 * [backup-simplify]: Simplify 1 into 1 1.239 * [backup-simplify]: Simplify (/ 1 1) into 1 1.239 * [taylor]: Taking taylor expansion of 1 in k 1.239 * [backup-simplify]: Simplify 1 into 1 1.239 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1.239 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 1.239 * [taylor]: Taking taylor expansion of -2 in k 1.239 * [backup-simplify]: Simplify -2 into -2 1.239 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.239 * [taylor]: Taking taylor expansion of PI in k 1.239 * [backup-simplify]: Simplify PI into PI 1.239 * [taylor]: Taking taylor expansion of n in k 1.239 * [backup-simplify]: Simplify n into n 1.239 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.239 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1.240 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1.240 * [backup-simplify]: Simplify (+ 1 0) into 1 1.240 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.240 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1.241 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 1.241 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.241 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.241 * [taylor]: Taking taylor expansion of -1 in k 1.241 * [backup-simplify]: Simplify -1 into -1 1.241 * [taylor]: Taking taylor expansion of k in k 1.241 * [backup-simplify]: Simplify 0 into 0 1.241 * [backup-simplify]: Simplify 1 into 1 1.241 * [backup-simplify]: Simplify (/ -1 1) into -1 1.242 * [backup-simplify]: Simplify (sqrt 0) into 0 1.243 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.243 * [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))))) 1.243 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 1.243 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 1.243 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 1.244 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 1.244 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 1.244 * [taylor]: Taking taylor expansion of 1/2 in k 1.244 * [backup-simplify]: Simplify 1/2 into 1/2 1.244 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 1.244 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.244 * [taylor]: Taking taylor expansion of k in k 1.244 * [backup-simplify]: Simplify 0 into 0 1.244 * [backup-simplify]: Simplify 1 into 1 1.244 * [backup-simplify]: Simplify (/ 1 1) into 1 1.244 * [taylor]: Taking taylor expansion of 1 in k 1.244 * [backup-simplify]: Simplify 1 into 1 1.244 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1.244 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 1.244 * [taylor]: Taking taylor expansion of -2 in k 1.244 * [backup-simplify]: Simplify -2 into -2 1.244 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.244 * [taylor]: Taking taylor expansion of PI in k 1.244 * [backup-simplify]: Simplify PI into PI 1.244 * [taylor]: Taking taylor expansion of n in k 1.244 * [backup-simplify]: Simplify n into n 1.244 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.245 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1.245 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1.245 * [backup-simplify]: Simplify (+ 1 0) into 1 1.245 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.246 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1.246 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 1.246 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.246 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.246 * [taylor]: Taking taylor expansion of -1 in k 1.246 * [backup-simplify]: Simplify -1 into -1 1.246 * [taylor]: Taking taylor expansion of k in k 1.246 * [backup-simplify]: Simplify 0 into 0 1.246 * [backup-simplify]: Simplify 1 into 1 1.246 * [backup-simplify]: Simplify (/ -1 1) into -1 1.247 * [backup-simplify]: Simplify (sqrt 0) into 0 1.248 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.249 * [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))))) 1.249 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 1.249 * [taylor]: Taking taylor expansion of +nan.0 in n 1.249 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.249 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 1.249 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 1.249 * [taylor]: Taking taylor expansion of 1/2 in n 1.249 * [backup-simplify]: Simplify 1/2 into 1/2 1.249 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 1.249 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.249 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.249 * [taylor]: Taking taylor expansion of -2 in n 1.249 * [backup-simplify]: Simplify -2 into -2 1.249 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.249 * [taylor]: Taking taylor expansion of PI in n 1.249 * [backup-simplify]: Simplify PI into PI 1.249 * [taylor]: Taking taylor expansion of n in n 1.249 * [backup-simplify]: Simplify 0 into 0 1.249 * [backup-simplify]: Simplify 1 into 1 1.250 * [backup-simplify]: Simplify (/ PI 1) into PI 1.250 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.251 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.251 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 1.251 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.251 * [taylor]: Taking taylor expansion of k in n 1.251 * [backup-simplify]: Simplify k into k 1.251 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.251 * [taylor]: Taking taylor expansion of 1 in n 1.251 * [backup-simplify]: Simplify 1 into 1 1.253 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.253 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1.254 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 1.255 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 1.256 * [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))))) 1.257 * [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)))))) 1.258 * [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)))))) 1.259 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.262 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.263 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) 1.263 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n 1.263 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 1.263 * [taylor]: Taking taylor expansion of +nan.0 in n 1.263 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.263 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 1.263 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 1.263 * [taylor]: Taking taylor expansion of 1/2 in n 1.263 * [backup-simplify]: Simplify 1/2 into 1/2 1.263 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 1.263 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.263 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.263 * [taylor]: Taking taylor expansion of -2 in n 1.263 * [backup-simplify]: Simplify -2 into -2 1.264 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.264 * [taylor]: Taking taylor expansion of PI in n 1.264 * [backup-simplify]: Simplify PI into PI 1.264 * [taylor]: Taking taylor expansion of n in n 1.264 * [backup-simplify]: Simplify 0 into 0 1.264 * [backup-simplify]: Simplify 1 into 1 1.264 * [backup-simplify]: Simplify (/ PI 1) into PI 1.265 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.265 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.265 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 1.266 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.266 * [taylor]: Taking taylor expansion of k in n 1.266 * [backup-simplify]: Simplify k into k 1.266 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.266 * [taylor]: Taking taylor expansion of 1 in n 1.266 * [backup-simplify]: Simplify 1 into 1 1.267 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.267 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1.268 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 1.269 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 1.271 * [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))))) 1.272 * [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)))))) 1.273 * [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))))))) 1.274 * [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))))))) 1.276 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.276 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.276 * [backup-simplify]: Simplify (+ 0 0) into 0 1.277 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.278 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 1.279 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1.281 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (/ 1 k) 1))) into 0 1.282 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into 0 1.284 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.285 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into 0 1.286 * [backup-simplify]: Simplify 0 into 0 1.287 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.290 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.293 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) 1.293 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n 1.293 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 1.293 * [taylor]: Taking taylor expansion of +nan.0 in n 1.293 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.293 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 1.293 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 1.293 * [taylor]: Taking taylor expansion of 1/2 in n 1.293 * [backup-simplify]: Simplify 1/2 into 1/2 1.293 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 1.293 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.293 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.293 * [taylor]: Taking taylor expansion of -2 in n 1.293 * [backup-simplify]: Simplify -2 into -2 1.293 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.293 * [taylor]: Taking taylor expansion of PI in n 1.293 * [backup-simplify]: Simplify PI into PI 1.293 * [taylor]: Taking taylor expansion of n in n 1.293 * [backup-simplify]: Simplify 0 into 0 1.293 * [backup-simplify]: Simplify 1 into 1 1.294 * [backup-simplify]: Simplify (/ PI 1) into PI 1.294 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.295 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.295 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 1.295 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.295 * [taylor]: Taking taylor expansion of k in n 1.295 * [backup-simplify]: Simplify k into k 1.295 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.295 * [taylor]: Taking taylor expansion of 1 in n 1.295 * [backup-simplify]: Simplify 1 into 1 1.297 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.297 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1.298 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 1.299 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 1.300 * [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))))) 1.301 * [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)))))) 1.302 * [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))))))) 1.303 * [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))))))) 1.307 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))))))) 1.307 * * * [progress]: simplifying candidates 1.307 * * * * [progress]: [ 1 / 188 ] simplifiying candidate # 1.308 * [simplify]: Simplifying (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)) 1.308 * * [simplify]: iters left: 6 (13 enodes) 1.315 * * [simplify]: iters left: 5 (54 enodes) 1.333 * * [simplify]: iters left: 4 (97 enodes) 1.375 * * [simplify]: iters left: 3 (246 enodes) 1.488 * * [simplify]: Extracting #0: cost 1 inf + 0 1.488 * * [simplify]: Extracting #1: cost 28 inf + 0 1.488 * * [simplify]: Extracting #2: cost 93 inf + 2 1.489 * * [simplify]: Extracting #3: cost 138 inf + 186 1.491 * * [simplify]: Extracting #4: cost 108 inf + 3370 1.500 * * [simplify]: Extracting #5: cost 33 inf + 22278 1.512 * * [simplify]: Extracting #6: cost 2 inf + 32881 1.524 * * [simplify]: Extracting #7: cost 0 inf + 33789 1.537 * [simplify]: Simplified to (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2) 1.537 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (exp (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2)))) 1.537 * * * * [progress]: [ 2 / 188 ] simplifiying candidate # 1.537 * [simplify]: Simplifying (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)) 1.537 * * [simplify]: iters left: 6 (12 enodes) 1.545 * * [simplify]: iters left: 5 (52 enodes) 1.562 * * [simplify]: iters left: 4 (90 enodes) 1.594 * * [simplify]: iters left: 3 (201 enodes) 1.666 * * [simplify]: iters left: 2 (496 enodes) 1.930 * * [simplify]: Extracting #0: cost 1 inf + 0 1.931 * * [simplify]: Extracting #1: cost 22 inf + 0 1.931 * * [simplify]: Extracting #2: cost 123 inf + 2 1.933 * * [simplify]: Extracting #3: cost 296 inf + 186 1.937 * * [simplify]: Extracting #4: cost 244 inf + 9812 1.949 * * [simplify]: Extracting #5: cost 93 inf + 50654 1.967 * * [simplify]: Extracting #6: cost 0 inf + 82473 1.995 * * [simplify]: Extracting #7: cost 0 inf + 82467 2.028 * [simplify]: Simplified to (/ (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)) 2) 2.028 * [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)))) 2.028 * * * * [progress]: [ 3 / 188 ] simplifiying candidate # 2.029 * [simplify]: Simplifying (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)) 2.029 * * [simplify]: iters left: 6 (11 enodes) 2.035 * * [simplify]: iters left: 5 (51 enodes) 2.053 * * [simplify]: iters left: 4 (97 enodes) 2.070 * * [simplify]: iters left: 3 (198 enodes) 2.142 * * [simplify]: iters left: 2 (492 enodes) 2.412 * * [simplify]: Extracting #0: cost 1 inf + 0 2.412 * * [simplify]: Extracting #1: cost 27 inf + 0 2.412 * * [simplify]: Extracting #2: cost 138 inf + 2 2.413 * * [simplify]: Extracting #3: cost 300 inf + 352 2.416 * * [simplify]: Extracting #4: cost 251 inf + 8938 2.429 * * [simplify]: Extracting #5: cost 48 inf + 62855 2.448 * * [simplify]: Extracting #6: cost 0 inf + 74672 2.466 * * [simplify]: Extracting #7: cost 0 inf + 74341 2.494 * [simplify]: Simplified to (/ (- (log (* (* 2 PI) n)) (* k (log (* (* 2 PI) n)))) 2) 2.494 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (exp (/ (- (log (* (* 2 PI) n)) (* k (log (* (* 2 PI) n)))) 2)))) 2.494 * * * * [progress]: [ 4 / 188 ] simplifiying candidate # 2.494 * * * * [progress]: [ 5 / 188 ] simplifiying candidate # 2.495 * [simplify]: Simplifying (* (* 2 PI) n) 2.495 * * [simplify]: iters left: 4 (5 enodes) 2.498 * * [simplify]: iters left: 3 (19 enodes) 2.505 * * [simplify]: iters left: 2 (27 enodes) 2.513 * * [simplify]: iters left: 1 (32 enodes) 2.521 * * [simplify]: Extracting #0: cost 1 inf + 0 2.521 * * [simplify]: Extracting #1: cost 8 inf + 0 2.521 * * [simplify]: Extracting #2: cost 7 inf + 45 2.522 * * [simplify]: Extracting #3: cost 0 inf + 421 2.522 * [simplify]: Simplified to (* (* 2 PI) n) 2.522 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2))))) 2.522 * * * * [progress]: [ 6 / 188 ] simplifiying candidate # 2.522 * [simplify]: Simplifying (* (* 2 PI) n) 2.522 * * [simplify]: iters left: 4 (5 enodes) 2.525 * * [simplify]: iters left: 3 (19 enodes) 2.532 * * [simplify]: iters left: 2 (27 enodes) 2.540 * * [simplify]: iters left: 1 (32 enodes) 2.548 * * [simplify]: Extracting #0: cost 1 inf + 0 2.548 * * [simplify]: Extracting #1: cost 8 inf + 0 2.548 * * [simplify]: Extracting #2: cost 7 inf + 45 2.549 * * [simplify]: Extracting #3: cost 0 inf + 421 2.549 * [simplify]: Simplified to (* (* 2 PI) n) 2.549 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2))))) 2.549 * * * * [progress]: [ 7 / 188 ] simplifiying candidate # 2.549 * [simplify]: Simplifying (* (* 2 PI) n) 2.549 * * [simplify]: iters left: 4 (5 enodes) 2.552 * * [simplify]: iters left: 3 (19 enodes) 2.558 * * [simplify]: iters left: 2 (27 enodes) 2.566 * * [simplify]: iters left: 1 (32 enodes) 2.574 * * [simplify]: Extracting #0: cost 1 inf + 0 2.574 * * [simplify]: Extracting #1: cost 8 inf + 0 2.574 * * [simplify]: Extracting #2: cost 7 inf + 45 2.574 * * [simplify]: Extracting #3: cost 0 inf + 421 2.575 * [simplify]: Simplified to (* (* 2 PI) n) 2.575 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2))))) 2.575 * * * * [progress]: [ 8 / 188 ] simplifiying candidate # 2.575 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ k 2)) 2.575 * * [simplify]: iters left: 5 (8 enodes) 2.579 * * [simplify]: iters left: 4 (31 enodes) 2.587 * * [simplify]: iters left: 3 (51 enodes) 2.596 * * [simplify]: iters left: 2 (85 enodes) 2.614 * * [simplify]: iters left: 1 (152 enodes) 2.659 * * [simplify]: Extracting #0: cost 1 inf + 0 2.659 * * [simplify]: Extracting #1: cost 13 inf + 0 2.659 * * [simplify]: Extracting #2: cost 60 inf + 1 2.660 * * [simplify]: Extracting #3: cost 76 inf + 51 2.661 * * [simplify]: Extracting #4: cost 44 inf + 2846 2.662 * * [simplify]: Extracting #5: cost 21 inf + 7590 2.664 * * [simplify]: Extracting #6: cost 1 inf + 20687 2.667 * * [simplify]: Extracting #7: cost 0 inf + 20539 2.670 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 2.670 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (/ (pow (* (* 2 PI) n) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))))) 2.670 * * * * [progress]: [ 9 / 188 ] simplifiying candidate # 2.670 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2)) 2.670 * * [simplify]: iters left: 5 (6 enodes) 2.672 * * [simplify]: iters left: 4 (26 enodes) 2.677 * * [simplify]: iters left: 3 (35 enodes) 2.682 * * [simplify]: Extracting #0: cost 1 inf + 0 2.682 * * [simplify]: Extracting #1: cost 3 inf + 0 2.682 * * [simplify]: Extracting #2: cost 8 inf + 0 2.682 * * [simplify]: Extracting #3: cost 11 inf + 2 2.682 * * [simplify]: Extracting #4: cost 8 inf + 87 2.683 * * [simplify]: Extracting #5: cost 2 inf + 500 2.683 * * [simplify]: Extracting #6: cost 0 inf + 746 2.683 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2)) 2.683 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))))) 2.683 * * * * [progress]: [ 10 / 188 ] simplifiying candidate # 2.683 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2)) 2.683 * * [simplify]: iters left: 5 (6 enodes) 2.685 * * [simplify]: iters left: 4 (26 enodes) 2.690 * * [simplify]: iters left: 3 (35 enodes) 2.697 * * [simplify]: Extracting #0: cost 1 inf + 0 2.697 * * [simplify]: Extracting #1: cost 3 inf + 0 2.697 * * [simplify]: Extracting #2: cost 8 inf + 0 2.697 * * [simplify]: Extracting #3: cost 11 inf + 2 2.697 * * [simplify]: Extracting #4: cost 8 inf + 87 2.697 * * [simplify]: Extracting #5: cost 2 inf + 460 2.698 * * [simplify]: Extracting #6: cost 0 inf + 666 2.698 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2)) 2.698 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))))) 2.698 * * * * [progress]: [ 11 / 188 ] simplifiying candidate # 2.698 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2)) 2.698 * * [simplify]: iters left: 5 (7 enodes) 2.700 * * [simplify]: iters left: 4 (25 enodes) 2.705 * * [simplify]: iters left: 3 (30 enodes) 2.715 * * [simplify]: Extracting #0: cost 1 inf + 0 2.715 * * [simplify]: Extracting #1: cost 4 inf + 0 2.715 * * [simplify]: Extracting #2: cost 8 inf + 0 2.715 * * [simplify]: Extracting #3: cost 10 inf + 82 2.715 * * [simplify]: Extracting #4: cost 7 inf + 206 2.715 * * [simplify]: Extracting #5: cost 2 inf + 575 2.715 * * [simplify]: Extracting #6: cost 1 inf + 818 2.716 * * [simplify]: Extracting #7: cost 0 inf + 1061 2.716 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2)) 2.716 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))))) 2.716 * * * * [progress]: [ 12 / 188 ] simplifiying candidate # 2.717 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2)) 2.717 * * [simplify]: iters left: 5 (7 enodes) 2.721 * * [simplify]: iters left: 4 (25 enodes) 2.730 * * [simplify]: iters left: 3 (30 enodes) 2.739 * * [simplify]: Extracting #0: cost 1 inf + 0 2.739 * * [simplify]: Extracting #1: cost 4 inf + 0 2.739 * * [simplify]: Extracting #2: cost 8 inf + 0 2.739 * * [simplify]: Extracting #3: cost 10 inf + 42 2.739 * * [simplify]: Extracting #4: cost 7 inf + 126 2.740 * * [simplify]: Extracting #5: cost 2 inf + 495 2.740 * * [simplify]: Extracting #6: cost 1 inf + 698 2.740 * * [simplify]: Extracting #7: cost 0 inf + 901 2.741 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2)) 2.741 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2))))) 2.741 * * * * [progress]: [ 13 / 188 ] simplifiying candidate # 2.741 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2) 2.741 * * [simplify]: iters left: 5 (6 enodes) 2.745 * * [simplify]: iters left: 4 (22 enodes) 2.752 * * [simplify]: iters left: 3 (27 enodes) 2.760 * * [simplify]: Extracting #0: cost 1 inf + 0 2.760 * * [simplify]: Extracting #1: cost 4 inf + 0 2.760 * * [simplify]: Extracting #2: cost 5 inf + 1 2.761 * * [simplify]: Extracting #3: cost 9 inf + 1 2.761 * * [simplify]: Extracting #4: cost 8 inf + 3 2.761 * * [simplify]: Extracting #5: cost 4 inf + 169 2.761 * * [simplify]: Extracting #6: cost 1 inf + 576 2.761 * * [simplify]: Extracting #7: cost 0 inf + 739 2.761 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 2.762 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2)))) 2.762 * * * * [progress]: [ 14 / 188 ] simplifiying candidate # 2.762 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2)) 2.762 * * [simplify]: iters left: 5 (7 enodes) 2.766 * * [simplify]: iters left: 4 (25 enodes) 2.775 * * [simplify]: iters left: 3 (30 enodes) 2.785 * * [simplify]: Extracting #0: cost 1 inf + 0 2.785 * * [simplify]: Extracting #1: cost 4 inf + 0 2.785 * * [simplify]: Extracting #2: cost 8 inf + 0 2.785 * * [simplify]: Extracting #3: cost 10 inf + 82 2.785 * * [simplify]: Extracting #4: cost 7 inf + 206 2.785 * * [simplify]: Extracting #5: cost 2 inf + 495 2.786 * * [simplify]: Extracting #6: cost 1 inf + 698 2.786 * * [simplify]: Extracting #7: cost 0 inf + 901 2.786 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2)) 2.786 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2))))) 2.787 * * * * [progress]: [ 15 / 188 ] simplifiying candidate # 2.787 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2)) 2.787 * * [simplify]: iters left: 5 (7 enodes) 2.791 * * [simplify]: iters left: 4 (25 enodes) 2.799 * * [simplify]: iters left: 3 (30 enodes) 2.804 * * [simplify]: Extracting #0: cost 1 inf + 0 2.804 * * [simplify]: Extracting #1: cost 4 inf + 0 2.804 * * [simplify]: Extracting #2: cost 8 inf + 0 2.804 * * [simplify]: Extracting #3: cost 10 inf + 42 2.804 * * [simplify]: Extracting #4: cost 7 inf + 126 2.804 * * [simplify]: Extracting #5: cost 2 inf + 415 2.804 * * [simplify]: Extracting #6: cost 1 inf + 578 2.805 * * [simplify]: Extracting #7: cost 0 inf + 741 2.805 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2)) 2.805 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))))) 2.805 * * * * [progress]: [ 16 / 188 ] simplifiying candidate # 2.805 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2) 2.805 * * [simplify]: iters left: 5 (6 enodes) 2.807 * * [simplify]: iters left: 4 (22 enodes) 2.811 * * [simplify]: iters left: 3 (27 enodes) 2.815 * * [simplify]: Extracting #0: cost 1 inf + 0 2.815 * * [simplify]: Extracting #1: cost 4 inf + 0 2.815 * * [simplify]: Extracting #2: cost 5 inf + 1 2.815 * * [simplify]: Extracting #3: cost 9 inf + 1 2.816 * * [simplify]: Extracting #4: cost 8 inf + 3 2.816 * * [simplify]: Extracting #5: cost 4 inf + 169 2.816 * * [simplify]: Extracting #6: cost 1 inf + 456 2.816 * * [simplify]: Extracting #7: cost 0 inf + 579 2.816 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 2.816 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)))) 2.816 * * * * [progress]: [ 17 / 188 ] simplifiying candidate # 2.816 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 2.816 * * [simplify]: iters left: 4 (6 enodes) 2.820 * * [simplify]: iters left: 3 (25 enodes) 2.831 * * [simplify]: iters left: 2 (36 enodes) 2.842 * * [simplify]: iters left: 1 (40 enodes) 2.854 * * [simplify]: Extracting #0: cost 1 inf + 0 2.854 * * [simplify]: Extracting #1: cost 7 inf + 0 2.854 * * [simplify]: Extracting #2: cost 16 inf + 0 2.854 * * [simplify]: Extracting #3: cost 13 inf + 44 2.855 * * [simplify]: Extracting #4: cost 3 inf + 1103 2.855 * * [simplify]: Extracting #5: cost 0 inf + 1469 2.856 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 2.856 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))))) 2.856 * * * * [progress]: [ 18 / 188 ] simplifiying candidate # 2.856 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 2.856 * * [simplify]: iters left: 4 (6 enodes) 2.860 * * [simplify]: iters left: 3 (25 enodes) 2.869 * * [simplify]: iters left: 2 (36 enodes) 2.880 * * [simplify]: iters left: 1 (40 enodes) 2.892 * * [simplify]: Extracting #0: cost 1 inf + 0 2.892 * * [simplify]: Extracting #1: cost 7 inf + 0 2.892 * * [simplify]: Extracting #2: cost 16 inf + 0 2.892 * * [simplify]: Extracting #3: cost 13 inf + 44 2.893 * * [simplify]: Extracting #4: cost 3 inf + 823 2.893 * * [simplify]: Extracting #5: cost 0 inf + 1069 2.894 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 2.894 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))))) 2.894 * * * * [progress]: [ 19 / 188 ] simplifiying candidate # 2.894 * [simplify]: Simplifying (/ (- 1 k) 2) 2.894 * * [simplify]: iters left: 4 (5 enodes) 2.898 * * [simplify]: iters left: 3 (23 enodes) 2.906 * * [simplify]: iters left: 2 (32 enodes) 2.916 * * [simplify]: Extracting #0: cost 1 inf + 0 2.916 * * [simplify]: Extracting #1: cost 6 inf + 0 2.916 * * [simplify]: Extracting #2: cost 9 inf + 2 2.916 * * [simplify]: Extracting #3: cost 6 inf + 87 2.916 * * [simplify]: Extracting #4: cost 0 inf + 420 2.917 * [simplify]: Simplified to (/ (- 1 k) 2) 2.917 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 1)) (/ (- 1 k) 2)))) 2.917 * * * * [progress]: [ 20 / 188 ] simplifiying candidate # 2.917 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2.917 * * [simplify]: iters left: 5 (8 enodes) 2.923 * * [simplify]: iters left: 4 (31 enodes) 2.931 * * [simplify]: iters left: 3 (45 enodes) 2.938 * * [simplify]: iters left: 2 (51 enodes) 2.945 * * [simplify]: iters left: 1 (52 enodes) 2.953 * * [simplify]: Extracting #0: cost 1 inf + 0 2.953 * * [simplify]: Extracting #1: cost 8 inf + 0 2.953 * * [simplify]: Extracting #2: cost 18 inf + 0 2.953 * * [simplify]: Extracting #3: cost 19 inf + 2 2.953 * * [simplify]: Extracting #4: cost 9 inf + 977 2.954 * * [simplify]: Extracting #5: cost 2 inf + 1790 2.954 * * [simplify]: Extracting #6: cost 0 inf + 2195 2.954 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 2.955 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))))) 2.955 * * * * [progress]: [ 21 / 188 ] simplifiying candidate # 2.955 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2.955 * * [simplify]: iters left: 5 (8 enodes) 2.959 * * [simplify]: iters left: 4 (31 enodes) 2.972 * * [simplify]: iters left: 3 (45 enodes) 2.979 * * [simplify]: iters left: 2 (51 enodes) 2.986 * * [simplify]: iters left: 1 (52 enodes) 2.994 * * [simplify]: Extracting #0: cost 1 inf + 0 2.994 * * [simplify]: Extracting #1: cost 8 inf + 0 2.994 * * [simplify]: Extracting #2: cost 18 inf + 0 2.994 * * [simplify]: Extracting #3: cost 19 inf + 2 2.994 * * [simplify]: Extracting #4: cost 9 inf + 697 2.995 * * [simplify]: Extracting #5: cost 2 inf + 1390 2.995 * * [simplify]: Extracting #6: cost 0 inf + 1715 2.995 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 2.995 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))))) 2.995 * * * * [progress]: [ 22 / 188 ] simplifiying candidate # 2.996 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 2.996 * * [simplify]: iters left: 5 (7 enodes) 2.998 * * [simplify]: iters left: 4 (29 enodes) 3.006 * * [simplify]: iters left: 3 (43 enodes) 3.018 * * [simplify]: iters left: 2 (47 enodes) 3.030 * * [simplify]: Extracting #0: cost 1 inf + 0 3.030 * * [simplify]: Extracting #1: cost 7 inf + 0 3.030 * * [simplify]: Extracting #2: cost 11 inf + 2 3.030 * * [simplify]: Extracting #3: cost 13 inf + 3 3.030 * * [simplify]: Extracting #4: cost 11 inf + 45 3.030 * * [simplify]: Extracting #5: cost 0 inf + 1066 3.031 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 3.031 * [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)))) 3.031 * * * * [progress]: [ 23 / 188 ] simplifiying candidate # 3.031 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 3.032 * * [simplify]: iters left: 5 (7 enodes) 3.036 * * [simplify]: iters left: 4 (28 enodes) 3.041 * * [simplify]: iters left: 3 (39 enodes) 3.048 * * [simplify]: iters left: 2 (43 enodes) 3.054 * * [simplify]: Extracting #0: cost 1 inf + 0 3.055 * * [simplify]: Extracting #1: cost 7 inf + 0 3.055 * * [simplify]: Extracting #2: cost 16 inf + 0 3.055 * * [simplify]: Extracting #3: cost 15 inf + 164 3.055 * * [simplify]: Extracting #4: cost 13 inf + 287 3.055 * * [simplify]: Extracting #5: cost 5 inf + 1180 3.055 * * [simplify]: Extracting #6: cost 0 inf + 1951 3.055 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 3.056 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))))) 3.056 * * * * [progress]: [ 24 / 188 ] simplifiying candidate # 3.056 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 3.056 * * [simplify]: iters left: 5 (7 enodes) 3.058 * * [simplify]: iters left: 4 (28 enodes) 3.063 * * [simplify]: iters left: 3 (39 enodes) 3.075 * * [simplify]: iters left: 2 (43 enodes) 3.082 * * [simplify]: Extracting #0: cost 1 inf + 0 3.082 * * [simplify]: Extracting #1: cost 7 inf + 0 3.082 * * [simplify]: Extracting #2: cost 16 inf + 0 3.082 * * [simplify]: Extracting #3: cost 15 inf + 84 3.082 * * [simplify]: Extracting #4: cost 13 inf + 167 3.083 * * [simplify]: Extracting #5: cost 5 inf + 900 3.083 * * [simplify]: Extracting #6: cost 0 inf + 1551 3.083 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 3.083 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))))) 3.083 * * * * [progress]: [ 25 / 188 ] simplifiying candidate # 3.084 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 3.084 * * [simplify]: iters left: 5 (6 enodes) 3.086 * * [simplify]: iters left: 4 (26 enodes) 3.091 * * [simplify]: iters left: 3 (35 enodes) 3.096 * * [simplify]: Extracting #0: cost 1 inf + 0 3.096 * * [simplify]: Extracting #1: cost 6 inf + 0 3.096 * * [simplify]: Extracting #2: cost 9 inf + 2 3.096 * * [simplify]: Extracting #3: cost 11 inf + 3 3.096 * * [simplify]: Extracting #4: cost 10 inf + 4 3.097 * * [simplify]: Extracting #5: cost 3 inf + 535 3.097 * * [simplify]: Extracting #6: cost 0 inf + 822 3.097 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 3.097 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 3.097 * * * * [progress]: [ 26 / 188 ] simplifiying candidate # 3.097 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 3.097 * * [simplify]: iters left: 4 (6 enodes) 3.099 * * [simplify]: iters left: 3 (25 enodes) 3.107 * * [simplify]: iters left: 2 (36 enodes) 3.118 * * [simplify]: iters left: 1 (40 enodes) 3.130 * * [simplify]: Extracting #0: cost 1 inf + 0 3.130 * * [simplify]: Extracting #1: cost 7 inf + 0 3.130 * * [simplify]: Extracting #2: cost 16 inf + 0 3.130 * * [simplify]: Extracting #3: cost 13 inf + 44 3.131 * * [simplify]: Extracting #4: cost 3 inf + 1103 3.131 * * [simplify]: Extracting #5: cost 0 inf + 1469 3.131 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 3.132 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))))) 3.132 * * * * [progress]: [ 27 / 188 ] simplifiying candidate # 3.132 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 3.132 * * [simplify]: iters left: 4 (6 enodes) 3.136 * * [simplify]: iters left: 3 (25 enodes) 3.144 * * [simplify]: iters left: 2 (36 enodes) 3.155 * * [simplify]: iters left: 1 (40 enodes) 3.167 * * [simplify]: Extracting #0: cost 1 inf + 0 3.167 * * [simplify]: Extracting #1: cost 7 inf + 0 3.167 * * [simplify]: Extracting #2: cost 16 inf + 0 3.167 * * [simplify]: Extracting #3: cost 13 inf + 44 3.167 * * [simplify]: Extracting #4: cost 3 inf + 823 3.168 * * [simplify]: Extracting #5: cost 0 inf + 1069 3.168 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 3.168 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))))) 3.169 * * * * [progress]: [ 28 / 188 ] simplifiying candidate # 3.169 * [simplify]: Simplifying (/ (- 1 k) 2) 3.169 * * [simplify]: iters left: 4 (5 enodes) 3.173 * * [simplify]: iters left: 3 (23 enodes) 3.181 * * [simplify]: iters left: 2 (32 enodes) 3.190 * * [simplify]: Extracting #0: cost 1 inf + 0 3.190 * * [simplify]: Extracting #1: cost 6 inf + 0 3.190 * * [simplify]: Extracting #2: cost 9 inf + 2 3.190 * * [simplify]: Extracting #3: cost 6 inf + 87 3.191 * * [simplify]: Extracting #4: cost 0 inf + 420 3.191 * [simplify]: Simplified to (/ (- 1 k) 2) 3.191 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 1)) (/ (- 1 k) 2)))) 3.191 * * * * [progress]: [ 29 / 188 ] simplifiying candidate # 3.191 * [simplify]: Simplifying (/ (- 1 k) 2) 3.191 * * [simplify]: iters left: 4 (5 enodes) 3.195 * * [simplify]: iters left: 3 (23 enodes) 3.203 * * [simplify]: iters left: 2 (32 enodes) 3.214 * * [simplify]: Extracting #0: cost 1 inf + 0 3.214 * * [simplify]: Extracting #1: cost 6 inf + 0 3.215 * * [simplify]: Extracting #2: cost 9 inf + 2 3.215 * * [simplify]: Extracting #3: cost 6 inf + 87 3.215 * * [simplify]: Extracting #4: cost 0 inf + 420 3.215 * [simplify]: Simplified to (/ (- 1 k) 2) 3.215 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2)))) 3.215 * * * * [progress]: [ 30 / 188 ] simplifiying candidate # 3.216 * [simplify]: Simplifying (/ 1 2) 3.216 * * [simplify]: iters left: 2 (3 enodes) 3.219 * * [simplify]: iters left: 1 (12 enodes) 3.224 * * [simplify]: Extracting #0: cost 1 inf + 0 3.224 * * [simplify]: Extracting #1: cost 0 inf + 1 3.224 * [simplify]: Simplified to 1/2 3.224 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (- 1 k)) 1/2))) 3.224 * * * * [progress]: [ 31 / 188 ] simplifiying candidate # 3.225 * [simplify]: Simplifying (pow (* 2 PI) (/ (- 1 k) 2)) 3.225 * * [simplify]: iters left: 5 (8 enodes) 3.230 * * [simplify]: iters left: 4 (36 enodes) 3.240 * * [simplify]: iters left: 3 (57 enodes) 3.250 * * [simplify]: iters left: 2 (90 enodes) 3.270 * * [simplify]: iters left: 1 (176 enodes) 3.340 * * [simplify]: Extracting #0: cost 1 inf + 0 3.340 * * [simplify]: Extracting #1: cost 13 inf + 0 3.341 * * [simplify]: Extracting #2: cost 55 inf + 1 3.342 * * [simplify]: Extracting #3: cost 86 inf + 6 3.342 * * [simplify]: Extracting #4: cost 68 inf + 2553 3.345 * * [simplify]: Extracting #5: cost 24 inf + 10048 3.351 * * [simplify]: Extracting #6: cost 3 inf + 21580 3.358 * * [simplify]: Extracting #7: cost 0 inf + 23439 3.364 * [simplify]: Simplified to (pow (* 2 PI) (/ (- 1 k) 2)) 3.364 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))))) 3.364 * * * * [progress]: [ 32 / 188 ] simplifiying candidate # 3.365 * * * * [progress]: [ 33 / 188 ] simplifiying candidate # 3.365 * * * * [progress]: [ 34 / 188 ] simplifiying candidate # 3.365 * * * * [progress]: [ 35 / 188 ] simplifiying candidate # 3.365 * * * * [progress]: [ 36 / 188 ] simplifiying candidate # 3.365 * * * * [progress]: [ 37 / 188 ] simplifiying candidate # 3.365 * * * * [progress]: [ 38 / 188 ] simplifiying candidate # 3.365 * * * * [progress]: [ 39 / 188 ] simplifiying candidate # 3.365 * * * * [progress]: [ 40 / 188 ] simplifiying candidate #real (real->posit16 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))> 3.365 * * * * [progress]: [ 41 / 188 ] simplifiying candidate # 3.365 * * * * [progress]: [ 42 / 188 ] simplifiying candidate # 3.365 * [simplify]: Simplifying (- 1/2) 3.366 * * [simplify]: iters left: 2 (2 enodes) 3.368 * * [simplify]: iters left: 1 (7 enodes) 3.371 * * [simplify]: Extracting #0: cost 1 inf + 0 3.371 * * [simplify]: Extracting #1: cost 0 inf + 1 3.371 * [simplify]: Simplified to -1/2 3.371 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.371 * * * * [progress]: [ 43 / 188 ] simplifiying candidate # 3.371 * [simplify]: Simplifying (- 1) 3.371 * * [simplify]: iters left: 2 (2 enodes) 3.373 * * [simplify]: iters left: 1 (9 enodes) 3.376 * * [simplify]: Extracting #0: cost 1 inf + 0 3.376 * * [simplify]: Extracting #1: cost 0 inf + 1 3.376 * [simplify]: Simplified to -1 3.376 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (sqrt k) -1) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.377 * * * * [progress]: [ 44 / 188 ] simplifiying candidate # 3.377 * [simplify]: Simplifying (- (/ 1 2)) 3.377 * * [simplify]: iters left: 4 (4 enodes) 3.381 * * [simplify]: iters left: 3 (19 enodes) 3.388 * * [simplify]: iters left: 2 (23 enodes) 3.395 * * [simplify]: Extracting #0: cost 1 inf + 0 3.395 * * [simplify]: Extracting #1: cost 0 inf + 1 3.395 * [simplify]: Simplified to -1/2 3.395 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.395 * * * * [progress]: [ 45 / 188 ] simplifiying candidate # 3.395 * * * * [progress]: [ 46 / 188 ] simplifiying candidate # 3.396 * * * * [progress]: [ 47 / 188 ] simplifiying candidate # 3.396 * [simplify]: Simplifying (- 0 (log (sqrt k))) 3.396 * * [simplify]: iters left: 4 (5 enodes) 3.398 * * [simplify]: iters left: 3 (17 enodes) 3.404 * * [simplify]: iters left: 2 (21 enodes) 3.410 * * [simplify]: iters left: 1 (23 enodes) 3.416 * * [simplify]: Extracting #0: cost 1 inf + 0 3.416 * * [simplify]: Extracting #1: cost 4 inf + 0 3.416 * * [simplify]: Extracting #2: cost 5 inf + 1 3.416 * * [simplify]: Extracting #3: cost 7 inf + 1 3.417 * * [simplify]: Extracting #4: cost 0 inf + 608 3.417 * [simplify]: Simplified to (- (log (sqrt k))) 3.417 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (log (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.417 * * * * [progress]: [ 48 / 188 ] simplifiying candidate # 3.417 * [simplify]: Simplifying (- (log 1) (log (sqrt k))) 3.417 * * [simplify]: iters left: 4 (6 enodes) 3.421 * * [simplify]: iters left: 3 (22 enodes) 3.427 * * [simplify]: Extracting #0: cost 1 inf + 0 3.427 * * [simplify]: Extracting #1: cost 4 inf + 0 3.427 * * [simplify]: Extracting #2: cost 5 inf + 1 3.427 * * [simplify]: Extracting #3: cost 7 inf + 1 3.428 * * [simplify]: Extracting #4: cost 6 inf + 2 3.428 * * [simplify]: Extracting #5: cost 1 inf + 457 3.428 * * [simplify]: Extracting #6: cost 0 inf + 608 3.428 * [simplify]: Simplified to (- (log (sqrt k))) 3.428 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (log (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.428 * * * * [progress]: [ 49 / 188 ] simplifiying candidate # 3.428 * * * * [progress]: [ 50 / 188 ] simplifiying candidate # 3.428 * * * * [progress]: [ 51 / 188 ] simplifiying candidate # 3.429 * [simplify]: Simplifying (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))) 3.429 * * [simplify]: iters left: 6 (8 enodes) 3.433 * * [simplify]: iters left: 5 (26 enodes) 3.442 * * [simplify]: iters left: 4 (43 enodes) 3.455 * * [simplify]: iters left: 3 (59 enodes) 3.471 * * [simplify]: iters left: 2 (67 enodes) 3.488 * * [simplify]: iters left: 1 (69 enodes) 3.502 * * [simplify]: Extracting #0: cost 1 inf + 0 3.502 * * [simplify]: Extracting #1: cost 14 inf + 0 3.502 * * [simplify]: Extracting #2: cost 18 inf + 2 3.502 * * [simplify]: Extracting #3: cost 7 inf + 701 3.503 * * [simplify]: Extracting #4: cost 0 inf + 1234 3.503 * [simplify]: Simplified to (/ (/ 1 k) (sqrt k)) 3.503 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (cbrt (/ (/ 1 k) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.503 * * * * [progress]: [ 52 / 188 ] simplifiying candidate # 3.503 * * * * [progress]: [ 53 / 188 ] simplifiying candidate # 3.503 * * * * [progress]: [ 54 / 188 ] simplifiying candidate # 3.503 * * * * [progress]: [ 55 / 188 ] simplifiying candidate # 3.503 * * * * [progress]: [ 56 / 188 ] simplifiying candidate # 3.504 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 3.504 * * [simplify]: iters left: 6 (8 enodes) 3.507 * * [simplify]: iters left: 5 (32 enodes) 3.512 * * [simplify]: iters left: 4 (48 enodes) 3.520 * * [simplify]: iters left: 3 (76 enodes) 3.532 * * [simplify]: iters left: 2 (81 enodes) 3.539 * * [simplify]: Extracting #0: cost 1 inf + 0 3.539 * * [simplify]: Extracting #1: cost 6 inf + 0 3.539 * * [simplify]: Extracting #2: cost 9 inf + 1 3.539 * * [simplify]: Extracting #3: cost 11 inf + 1 3.539 * * [simplify]: Extracting #4: cost 2 inf + 1052 3.539 * * [simplify]: Extracting #5: cost 0 inf + 1376 3.539 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 3.539 * [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)))) 3.540 * [simplify]: Simplifying (/ (cbrt 1) (cbrt (sqrt k))) 3.540 * * [simplify]: iters left: 4 (6 enodes) 3.542 * * [simplify]: iters left: 3 (20 enodes) 3.545 * * [simplify]: iters left: 2 (22 enodes) 3.548 * * [simplify]: Extracting #0: cost 1 inf + 0 3.548 * * [simplify]: Extracting #1: cost 4 inf + 0 3.548 * * [simplify]: Extracting #2: cost 5 inf + 1 3.549 * * [simplify]: Extracting #3: cost 7 inf + 1 3.549 * * [simplify]: Extracting #4: cost 1 inf + 488 3.549 * * [simplify]: Extracting #5: cost 0 inf + 650 3.549 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 3.549 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.549 * * * * [progress]: [ 57 / 188 ] simplifiying candidate # 3.549 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) 3.549 * * [simplify]: iters left: 6 (8 enodes) 3.552 * * [simplify]: iters left: 5 (29 enodes) 3.557 * * [simplify]: iters left: 4 (31 enodes) 3.561 * * [simplify]: Extracting #0: cost 1 inf + 0 3.561 * * [simplify]: Extracting #1: cost 4 inf + 0 3.561 * * [simplify]: Extracting #2: cost 6 inf + 1 3.561 * * [simplify]: Extracting #3: cost 9 inf + 1 3.561 * * [simplify]: Extracting #4: cost 8 inf + 2 3.561 * * [simplify]: Extracting #5: cost 2 inf + 729 3.561 * * [simplify]: Extracting #6: cost 0 inf + 972 3.561 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 3.561 * [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)))) 3.562 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (cbrt k))) 3.562 * * [simplify]: iters left: 4 (6 enodes) 3.564 * * [simplify]: iters left: 3 (20 enodes) 3.569 * * [simplify]: iters left: 2 (22 enodes) 3.575 * * [simplify]: Extracting #0: cost 1 inf + 0 3.575 * * [simplify]: Extracting #1: cost 4 inf + 0 3.575 * * [simplify]: Extracting #2: cost 5 inf + 1 3.575 * * [simplify]: Extracting #3: cost 7 inf + 1 3.575 * * [simplify]: Extracting #4: cost 1 inf + 568 3.576 * * [simplify]: Extracting #5: cost 0 inf + 730 3.576 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 3.576 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.576 * * * * [progress]: [ 58 / 188 ] simplifiying candidate # 3.576 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 3.576 * * [simplify]: iters left: 5 (7 enodes) 3.581 * * [simplify]: iters left: 4 (25 enodes) 3.591 * * [simplify]: iters left: 3 (27 enodes) 3.598 * * [simplify]: Extracting #0: cost 1 inf + 0 3.598 * * [simplify]: Extracting #1: cost 4 inf + 0 3.598 * * [simplify]: Extracting #2: cost 5 inf + 1 3.598 * * [simplify]: Extracting #3: cost 7 inf + 1 3.598 * * [simplify]: Extracting #4: cost 6 inf + 2 3.598 * * [simplify]: Extracting #5: cost 2 inf + 368 3.599 * * [simplify]: Extracting #6: cost 0 inf + 490 3.599 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 3.599 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.599 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt k))) 3.599 * * [simplify]: iters left: 4 (6 enodes) 3.603 * * [simplify]: iters left: 3 (20 enodes) 3.607 * * [simplify]: iters left: 2 (22 enodes) 3.610 * * [simplify]: Extracting #0: cost 1 inf + 0 3.610 * * [simplify]: Extracting #1: cost 4 inf + 0 3.610 * * [simplify]: Extracting #2: cost 5 inf + 1 3.610 * * [simplify]: Extracting #3: cost 7 inf + 1 3.610 * * [simplify]: Extracting #4: cost 1 inf + 368 3.610 * * [simplify]: Extracting #5: cost 0 inf + 490 3.610 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 3.610 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.610 * * * * [progress]: [ 59 / 188 ] simplifiying candidate # 3.611 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) 3.611 * * [simplify]: iters left: 5 (5 enodes) 3.616 * * [simplify]: iters left: 4 (19 enodes) 3.619 * * [simplify]: iters left: 3 (21 enodes) 3.621 * * [simplify]: Extracting #0: cost 1 inf + 0 3.621 * * [simplify]: Extracting #1: cost 0 inf + 1 3.621 * [simplify]: Simplified to 1 3.621 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (/ (cbrt 1) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.621 * [simplify]: Simplifying (/ (cbrt 1) (sqrt k)) 3.621 * * [simplify]: iters left: 3 (5 enodes) 3.624 * * [simplify]: iters left: 2 (17 enodes) 3.626 * * [simplify]: iters left: 1 (19 enodes) 3.629 * * [simplify]: Extracting #0: cost 1 inf + 0 3.629 * * [simplify]: Extracting #1: cost 4 inf + 0 3.629 * * [simplify]: Extracting #2: cost 5 inf + 1 3.629 * * [simplify]: Extracting #3: cost 0 inf + 248 3.629 * [simplify]: Simplified to (/ 1 (sqrt k)) 3.629 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.629 * * * * [progress]: [ 60 / 188 ] simplifiying candidate # 3.629 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 3.629 * * [simplify]: iters left: 5 (7 enodes) 3.632 * * [simplify]: iters left: 4 (25 enodes) 3.640 * * [simplify]: iters left: 3 (27 enodes) 3.647 * * [simplify]: Extracting #0: cost 1 inf + 0 3.647 * * [simplify]: Extracting #1: cost 4 inf + 0 3.647 * * [simplify]: Extracting #2: cost 5 inf + 1 3.648 * * [simplify]: Extracting #3: cost 7 inf + 1 3.648 * * [simplify]: Extracting #4: cost 6 inf + 2 3.648 * * [simplify]: Extracting #5: cost 2 inf + 368 3.648 * * [simplify]: Extracting #6: cost 0 inf + 490 3.648 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 3.648 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.649 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt k))) 3.649 * * [simplify]: iters left: 4 (6 enodes) 3.653 * * [simplify]: iters left: 3 (20 enodes) 3.658 * * [simplify]: iters left: 2 (22 enodes) 3.665 * * [simplify]: Extracting #0: cost 1 inf + 0 3.665 * * [simplify]: Extracting #1: cost 4 inf + 0 3.665 * * [simplify]: Extracting #2: cost 5 inf + 1 3.665 * * [simplify]: Extracting #3: cost 7 inf + 1 3.665 * * [simplify]: Extracting #4: cost 1 inf + 368 3.665 * * [simplify]: Extracting #5: cost 0 inf + 490 3.665 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 3.665 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.665 * * * * [progress]: [ 61 / 188 ] simplifiying candidate # 3.666 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) 1) 3.666 * * [simplify]: iters left: 5 (4 enodes) 3.671 * * [simplify]: iters left: 4 (14 enodes) 3.673 * * [simplify]: iters left: 3 (16 enodes) 3.675 * * [simplify]: Extracting #0: cost 1 inf + 0 3.675 * * [simplify]: Extracting #1: cost 0 inf + 1 3.675 * [simplify]: Simplified to 1 3.675 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (/ (cbrt 1) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.676 * [simplify]: Simplifying (/ (cbrt 1) (sqrt k)) 3.676 * * [simplify]: iters left: 3 (5 enodes) 3.678 * * [simplify]: iters left: 2 (17 enodes) 3.681 * * [simplify]: iters left: 1 (19 enodes) 3.684 * * [simplify]: Extracting #0: cost 1 inf + 0 3.684 * * [simplify]: Extracting #1: cost 4 inf + 0 3.684 * * [simplify]: Extracting #2: cost 5 inf + 1 3.684 * * [simplify]: Extracting #3: cost 0 inf + 248 3.684 * [simplify]: Simplified to (/ 1 (sqrt k)) 3.684 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.684 * * * * [progress]: [ 62 / 188 ] simplifiying candidate # 3.684 * [simplify]: Simplifying (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 3.684 * * [simplify]: iters left: 6 (7 enodes) 3.687 * * [simplify]: iters left: 5 (25 enodes) 3.691 * * [simplify]: iters left: 4 (32 enodes) 3.695 * * [simplify]: iters left: 3 (34 enodes) 3.705 * * [simplify]: Extracting #0: cost 1 inf + 0 3.706 * * [simplify]: Extracting #1: cost 7 inf + 0 3.706 * * [simplify]: Extracting #2: cost 11 inf + 1 3.706 * * [simplify]: Extracting #3: cost 13 inf + 1 3.706 * * [simplify]: Extracting #4: cost 10 inf + 84 3.706 * * [simplify]: Extracting #5: cost 4 inf + 1014 3.706 * * [simplify]: Extracting #6: cost 1 inf + 1498 3.707 * * [simplify]: Extracting #7: cost 0 inf + 1700 3.707 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 3.707 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (sqrt 1) (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.708 * [simplify]: Simplifying (/ (sqrt 1) (cbrt (sqrt k))) 3.708 * * [simplify]: iters left: 4 (6 enodes) 3.712 * * [simplify]: iters left: 3 (20 enodes) 3.717 * * [simplify]: iters left: 2 (22 enodes) 3.723 * * [simplify]: Extracting #0: cost 1 inf + 0 3.723 * * [simplify]: Extracting #1: cost 4 inf + 0 3.723 * * [simplify]: Extracting #2: cost 5 inf + 1 3.723 * * [simplify]: Extracting #3: cost 7 inf + 1 3.724 * * [simplify]: Extracting #4: cost 1 inf + 488 3.724 * * [simplify]: Extracting #5: cost 0 inf + 650 3.724 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 3.724 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.724 * * * * [progress]: [ 63 / 188 ] simplifiying candidate # 3.725 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) 3.725 * * [simplify]: iters left: 6 (7 enodes) 3.729 * * [simplify]: iters left: 5 (24 enodes) 3.734 * * [simplify]: iters left: 4 (26 enodes) 3.738 * * [simplify]: Extracting #0: cost 1 inf + 0 3.738 * * [simplify]: Extracting #1: cost 4 inf + 0 3.738 * * [simplify]: Extracting #2: cost 6 inf + 1 3.738 * * [simplify]: Extracting #3: cost 9 inf + 1 3.738 * * [simplify]: Extracting #4: cost 8 inf + 2 3.738 * * [simplify]: Extracting #5: cost 2 inf + 730 3.739 * * [simplify]: Extracting #6: cost 0 inf + 972 3.739 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 3.739 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (/ (sqrt 1) (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.739 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (cbrt k))) 3.739 * * [simplify]: iters left: 4 (6 enodes) 3.741 * * [simplify]: iters left: 3 (20 enodes) 3.744 * * [simplify]: iters left: 2 (22 enodes) 3.747 * * [simplify]: Extracting #0: cost 1 inf + 0 3.747 * * [simplify]: Extracting #1: cost 4 inf + 0 3.747 * * [simplify]: Extracting #2: cost 5 inf + 1 3.747 * * [simplify]: Extracting #3: cost 7 inf + 1 3.747 * * [simplify]: Extracting #4: cost 1 inf + 568 3.747 * * [simplify]: Extracting #5: cost 0 inf + 730 3.747 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 3.747 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.747 * * * * [progress]: [ 64 / 188 ] simplifiying candidate # 3.748 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 3.748 * * [simplify]: iters left: 4 (6 enodes) 3.750 * * [simplify]: iters left: 3 (20 enodes) 3.753 * * [simplify]: iters left: 2 (22 enodes) 3.756 * * [simplify]: Extracting #0: cost 1 inf + 0 3.756 * * [simplify]: Extracting #1: cost 4 inf + 0 3.756 * * [simplify]: Extracting #2: cost 5 inf + 1 3.756 * * [simplify]: Extracting #3: cost 7 inf + 1 3.756 * * [simplify]: Extracting #4: cost 1 inf + 368 3.756 * * [simplify]: Extracting #5: cost 0 inf + 490 3.756 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 3.756 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.756 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 3.756 * * [simplify]: iters left: 4 (6 enodes) 3.758 * * [simplify]: iters left: 3 (20 enodes) 3.761 * * [simplify]: iters left: 2 (22 enodes) 3.764 * * [simplify]: Extracting #0: cost 1 inf + 0 3.764 * * [simplify]: Extracting #1: cost 4 inf + 0 3.764 * * [simplify]: Extracting #2: cost 5 inf + 1 3.764 * * [simplify]: Extracting #3: cost 7 inf + 1 3.764 * * [simplify]: Extracting #4: cost 1 inf + 368 3.765 * * [simplify]: Extracting #5: cost 0 inf + 490 3.765 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 3.765 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.765 * * * * [progress]: [ 65 / 188 ] simplifiying candidate # 3.765 * [simplify]: Simplifying (/ (sqrt 1) (sqrt 1)) 3.765 * * [simplify]: iters left: 3 (3 enodes) 3.769 * * [simplify]: iters left: 2 (9 enodes) 3.771 * * [simplify]: iters left: 1 (11 enodes) 3.774 * * [simplify]: Extracting #0: cost 1 inf + 0 3.774 * * [simplify]: Extracting #1: cost 0 inf + 1 3.774 * [simplify]: Simplified to 1 3.774 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (/ (sqrt 1) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.774 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k)) 3.774 * * [simplify]: iters left: 3 (5 enodes) 3.778 * * [simplify]: iters left: 2 (17 enodes) 3.783 * * [simplify]: iters left: 1 (19 enodes) 3.789 * * [simplify]: Extracting #0: cost 1 inf + 0 3.789 * * [simplify]: Extracting #1: cost 4 inf + 0 3.789 * * [simplify]: Extracting #2: cost 5 inf + 1 3.789 * * [simplify]: Extracting #3: cost 0 inf + 248 3.789 * [simplify]: Simplified to (/ 1 (sqrt k)) 3.790 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.790 * * * * [progress]: [ 66 / 188 ] simplifiying candidate # 3.790 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 3.790 * * [simplify]: iters left: 4 (6 enodes) 3.794 * * [simplify]: iters left: 3 (20 enodes) 3.800 * * [simplify]: iters left: 2 (22 enodes) 3.805 * * [simplify]: Extracting #0: cost 1 inf + 0 3.805 * * [simplify]: Extracting #1: cost 4 inf + 0 3.806 * * [simplify]: Extracting #2: cost 5 inf + 1 3.806 * * [simplify]: Extracting #3: cost 7 inf + 1 3.806 * * [simplify]: Extracting #4: cost 1 inf + 368 3.806 * * [simplify]: Extracting #5: cost 0 inf + 490 3.806 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 3.806 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.807 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 3.807 * * [simplify]: iters left: 4 (6 enodes) 3.810 * * [simplify]: iters left: 3 (20 enodes) 3.816 * * [simplify]: iters left: 2 (22 enodes) 3.822 * * [simplify]: Extracting #0: cost 1 inf + 0 3.822 * * [simplify]: Extracting #1: cost 4 inf + 0 3.822 * * [simplify]: Extracting #2: cost 5 inf + 1 3.822 * * [simplify]: Extracting #3: cost 7 inf + 1 3.822 * * [simplify]: Extracting #4: cost 1 inf + 368 3.822 * * [simplify]: Extracting #5: cost 0 inf + 490 3.823 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 3.823 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.823 * * * * [progress]: [ 67 / 188 ] simplifiying candidate # 3.823 * [simplify]: Simplifying (/ (sqrt 1) 1) 3.823 * * [simplify]: iters left: 3 (3 enodes) 3.827 * * [simplify]: iters left: 2 (9 enodes) 3.829 * * [simplify]: iters left: 1 (11 enodes) 3.832 * * [simplify]: Extracting #0: cost 1 inf + 0 3.832 * * [simplify]: Extracting #1: cost 0 inf + 1 3.832 * [simplify]: Simplified to 1 3.832 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (/ (sqrt 1) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.832 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k)) 3.832 * * [simplify]: iters left: 3 (5 enodes) 3.835 * * [simplify]: iters left: 2 (17 enodes) 3.837 * * [simplify]: iters left: 1 (19 enodes) 3.840 * * [simplify]: Extracting #0: cost 1 inf + 0 3.840 * * [simplify]: Extracting #1: cost 4 inf + 0 3.840 * * [simplify]: Extracting #2: cost 5 inf + 1 3.840 * * [simplify]: Extracting #3: cost 0 inf + 248 3.840 * [simplify]: Simplified to (/ 1 (sqrt k)) 3.840 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.840 * * * * [progress]: [ 68 / 188 ] simplifiying candidate # 3.841 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 3.841 * * [simplify]: iters left: 6 (6 enodes) 3.842 * * [simplify]: iters left: 5 (22 enodes) 3.846 * * [simplify]: iters left: 4 (26 enodes) 3.850 * * [simplify]: Extracting #0: cost 1 inf + 0 3.850 * * [simplify]: Extracting #1: cost 6 inf + 0 3.850 * * [simplify]: Extracting #2: cost 9 inf + 1 3.850 * * [simplify]: Extracting #3: cost 11 inf + 1 3.850 * * [simplify]: Extracting #4: cost 8 inf + 84 3.850 * * [simplify]: Extracting #5: cost 2 inf + 1013 3.850 * * [simplify]: Extracting #6: cost 0 inf + 1376 3.850 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 3.850 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.850 * [simplify]: Simplifying (/ 1 (cbrt (sqrt k))) 3.851 * * [simplify]: iters left: 4 (5 enodes) 3.852 * * [simplify]: iters left: 3 (17 enodes) 3.855 * * [simplify]: iters left: 2 (19 enodes) 3.857 * * [simplify]: Extracting #0: cost 1 inf + 0 3.857 * * [simplify]: Extracting #1: cost 4 inf + 0 3.857 * * [simplify]: Extracting #2: cost 5 inf + 1 3.857 * * [simplify]: Extracting #3: cost 7 inf + 1 3.858 * * [simplify]: Extracting #4: cost 0 inf + 650 3.858 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 3.858 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.858 * * * * [progress]: [ 69 / 188 ] simplifiying candidate # 3.858 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt k) (cbrt k)))) 3.858 * * [simplify]: iters left: 6 (6 enodes) 3.860 * * [simplify]: iters left: 5 (21 enodes) 3.865 * * [simplify]: iters left: 4 (23 enodes) 3.871 * * [simplify]: Extracting #0: cost 1 inf + 0 3.871 * * [simplify]: Extracting #1: cost 4 inf + 0 3.871 * * [simplify]: Extracting #2: cost 6 inf + 1 3.871 * * [simplify]: Extracting #3: cost 9 inf + 1 3.871 * * [simplify]: Extracting #4: cost 8 inf + 2 3.872 * * [simplify]: Extracting #5: cost 1 inf + 810 3.872 * * [simplify]: Extracting #6: cost 0 inf + 972 3.872 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 3.872 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.873 * [simplify]: Simplifying (/ 1 (sqrt (cbrt k))) 3.873 * * [simplify]: iters left: 4 (5 enodes) 3.875 * * [simplify]: iters left: 3 (17 enodes) 3.881 * * [simplify]: iters left: 2 (19 enodes) 3.886 * * [simplify]: Extracting #0: cost 1 inf + 0 3.886 * * [simplify]: Extracting #1: cost 4 inf + 0 3.886 * * [simplify]: Extracting #2: cost 5 inf + 1 3.886 * * [simplify]: Extracting #3: cost 7 inf + 1 3.887 * * [simplify]: Extracting #4: cost 0 inf + 730 3.887 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 3.887 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.887 * * * * [progress]: [ 70 / 188 ] simplifiying candidate # 3.887 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 3.887 * * [simplify]: iters left: 4 (5 enodes) 3.890 * * [simplify]: iters left: 3 (17 enodes) 3.894 * * [simplify]: iters left: 2 (19 enodes) 3.897 * * [simplify]: Extracting #0: cost 1 inf + 0 3.897 * * [simplify]: Extracting #1: cost 4 inf + 0 3.897 * * [simplify]: Extracting #2: cost 5 inf + 1 3.897 * * [simplify]: Extracting #3: cost 7 inf + 1 3.897 * * [simplify]: Extracting #4: cost 0 inf + 490 3.897 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 3.897 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.897 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 3.897 * * [simplify]: iters left: 4 (5 enodes) 3.899 * * [simplify]: iters left: 3 (17 enodes) 3.901 * * [simplify]: iters left: 2 (19 enodes) 3.904 * * [simplify]: Extracting #0: cost 1 inf + 0 3.904 * * [simplify]: Extracting #1: cost 4 inf + 0 3.904 * * [simplify]: Extracting #2: cost 5 inf + 1 3.904 * * [simplify]: Extracting #3: cost 7 inf + 1 3.904 * * [simplify]: Extracting #4: cost 0 inf + 490 3.905 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 3.905 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.905 * * * * [progress]: [ 71 / 188 ] simplifiying candidate # 3.905 * [simplify]: Simplifying (/ 1 (sqrt 1)) 3.905 * * [simplify]: iters left: 3 (3 enodes) 3.908 * * [simplify]: iters left: 2 (11 enodes) 3.910 * * [simplify]: iters left: 1 (13 enodes) 3.912 * * [simplify]: Extracting #0: cost 1 inf + 0 3.912 * * [simplify]: Extracting #1: cost 0 inf + 1 3.912 * [simplify]: Simplified to 1 3.912 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.912 * [simplify]: Simplifying (/ 1 (sqrt k)) 3.912 * * [simplify]: iters left: 3 (4 enodes) 3.913 * * [simplify]: iters left: 2 (14 enodes) 3.916 * * [simplify]: iters left: 1 (16 enodes) 3.918 * * [simplify]: Extracting #0: cost 1 inf + 0 3.918 * * [simplify]: Extracting #1: cost 4 inf + 0 3.918 * * [simplify]: Extracting #2: cost 5 inf + 1 3.918 * * [simplify]: Extracting #3: cost 3 inf + 43 3.918 * * [simplify]: Extracting #4: cost 1 inf + 166 3.918 * * [simplify]: Extracting #5: cost 0 inf + 248 3.918 * [simplify]: Simplified to (/ 1 (sqrt k)) 3.918 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.918 * * * * [progress]: [ 72 / 188 ] simplifiying candidate # 3.919 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 3.919 * * [simplify]: iters left: 4 (5 enodes) 3.920 * * [simplify]: iters left: 3 (17 enodes) 3.923 * * [simplify]: iters left: 2 (19 enodes) 3.926 * * [simplify]: Extracting #0: cost 1 inf + 0 3.926 * * [simplify]: Extracting #1: cost 4 inf + 0 3.926 * * [simplify]: Extracting #2: cost 5 inf + 1 3.926 * * [simplify]: Extracting #3: cost 7 inf + 1 3.926 * * [simplify]: Extracting #4: cost 0 inf + 490 3.926 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 3.926 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.926 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 3.926 * * [simplify]: iters left: 4 (5 enodes) 3.928 * * [simplify]: iters left: 3 (17 enodes) 3.932 * * [simplify]: iters left: 2 (19 enodes) 3.934 * * [simplify]: Extracting #0: cost 1 inf + 0 3.934 * * [simplify]: Extracting #1: cost 4 inf + 0 3.934 * * [simplify]: Extracting #2: cost 5 inf + 1 3.934 * * [simplify]: Extracting #3: cost 7 inf + 1 3.935 * * [simplify]: Extracting #4: cost 0 inf + 490 3.935 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 3.935 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.935 * * * * [progress]: [ 73 / 188 ] simplifiying candidate # 3.935 * [simplify]: Simplifying (/ 1 1) 3.935 * * [simplify]: iters left: 2 (2 enodes) 3.936 * * [simplify]: iters left: 1 (6 enodes) 3.937 * * [simplify]: Extracting #0: cost 1 inf + 0 3.937 * * [simplify]: Extracting #1: cost 0 inf + 1 3.937 * [simplify]: Simplified to 1 3.937 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.937 * [simplify]: Simplifying (/ 1 (sqrt k)) 3.937 * * [simplify]: iters left: 3 (4 enodes) 3.939 * * [simplify]: iters left: 2 (14 enodes) 3.941 * * [simplify]: iters left: 1 (16 enodes) 3.943 * * [simplify]: Extracting #0: cost 1 inf + 0 3.943 * * [simplify]: Extracting #1: cost 4 inf + 0 3.943 * * [simplify]: Extracting #2: cost 5 inf + 1 3.943 * * [simplify]: Extracting #3: cost 3 inf + 43 3.943 * * [simplify]: Extracting #4: cost 1 inf + 166 3.943 * * [simplify]: Extracting #5: cost 0 inf + 248 3.943 * [simplify]: Simplified to (/ 1 (sqrt k)) 3.944 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.944 * * * * [progress]: [ 74 / 188 ] simplifiying candidate # 3.944 * * * * [progress]: [ 75 / 188 ] simplifiying candidate # 3.944 * * * * [progress]: [ 76 / 188 ] simplifiying candidate # 3.944 * * * * [progress]: [ 77 / 188 ] simplifiying candidate # 3.944 * [simplify]: Simplifying (cbrt (sqrt k)) 3.944 * * [simplify]: iters left: 2 (3 enodes) 3.945 * * [simplify]: iters left: 1 (9 enodes) 3.946 * * [simplify]: Extracting #0: cost 1 inf + 0 3.946 * * [simplify]: Extracting #1: cost 3 inf + 0 3.946 * * [simplify]: Extracting #2: cost 5 inf + 0 3.946 * * [simplify]: Extracting #3: cost 4 inf + 1 3.946 * * [simplify]: Extracting #4: cost 0 inf + 325 3.946 * [simplify]: Simplified to (cbrt (sqrt k)) 3.946 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.946 * * * * [progress]: [ 78 / 188 ] simplifiying candidate # 3.946 * [simplify]: Simplifying (sqrt (cbrt k)) 3.946 * * [simplify]: iters left: 2 (3 enodes) 3.947 * * [simplify]: iters left: 1 (9 enodes) 3.948 * * [simplify]: Extracting #0: cost 1 inf + 0 3.948 * * [simplify]: Extracting #1: cost 3 inf + 0 3.948 * * [simplify]: Extracting #2: cost 5 inf + 0 3.948 * * [simplify]: Extracting #3: cost 4 inf + 1 3.948 * * [simplify]: Extracting #4: cost 0 inf + 405 3.948 * [simplify]: Simplified to (sqrt (cbrt k)) 3.948 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.948 * * * * [progress]: [ 79 / 188 ] simplifiying candidate # 3.948 * [simplify]: Simplifying (sqrt (sqrt k)) 3.948 * * [simplify]: iters left: 2 (3 enodes) 3.949 * * [simplify]: iters left: 1 (9 enodes) 3.950 * * [simplify]: Extracting #0: cost 1 inf + 0 3.950 * * [simplify]: Extracting #1: cost 3 inf + 0 3.950 * * [simplify]: Extracting #2: cost 5 inf + 0 3.950 * * [simplify]: Extracting #3: cost 4 inf + 1 3.950 * * [simplify]: Extracting #4: cost 0 inf + 245 3.950 * [simplify]: Simplified to (sqrt (sqrt k)) 3.950 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.950 * * * * [progress]: [ 80 / 188 ] simplifiying candidate # 3.951 * [simplify]: Simplifying (sqrt k) 3.951 * * [simplify]: iters left: 1 (2 enodes) 3.951 * * [simplify]: Extracting #0: cost 1 inf + 0 3.951 * * [simplify]: Extracting #1: cost 3 inf + 0 3.951 * * [simplify]: Extracting #2: cost 2 inf + 1 3.951 * * [simplify]: Extracting #3: cost 0 inf + 83 3.951 * [simplify]: Simplified to (sqrt k) 3.951 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (/ 1 (sqrt 1)) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.951 * * * * [progress]: [ 81 / 188 ] simplifiying candidate # 3.951 * [simplify]: Simplifying (sqrt (sqrt k)) 3.951 * * [simplify]: iters left: 2 (3 enodes) 3.952 * * [simplify]: iters left: 1 (9 enodes) 3.953 * * [simplify]: Extracting #0: cost 1 inf + 0 3.953 * * [simplify]: Extracting #1: cost 3 inf + 0 3.953 * * [simplify]: Extracting #2: cost 5 inf + 0 3.953 * * [simplify]: Extracting #3: cost 4 inf + 1 3.953 * * [simplify]: Extracting #4: cost 0 inf + 245 3.953 * [simplify]: Simplified to (sqrt (sqrt k)) 3.953 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.953 * * * * [progress]: [ 82 / 188 ] simplifiying candidate # 3.954 * [simplify]: Simplifying (sqrt k) 3.954 * * [simplify]: iters left: 1 (2 enodes) 3.954 * * [simplify]: Extracting #0: cost 1 inf + 0 3.954 * * [simplify]: Extracting #1: cost 3 inf + 0 3.954 * * [simplify]: Extracting #2: cost 2 inf + 1 3.954 * * [simplify]: Extracting #3: cost 0 inf + 83 3.954 * [simplify]: Simplified to (sqrt k) 3.954 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (/ 1 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.954 * * * * [progress]: [ 83 / 188 ] simplifiying candidate # 3.954 * [simplify]: Simplifying (* (cbrt 1) (cbrt 1)) 3.954 * * [simplify]: iters left: 3 (3 enodes) 3.958 * * [simplify]: iters left: 2 (11 enodes) 3.960 * * [simplify]: iters left: 1 (13 enodes) 3.961 * * [simplify]: Extracting #0: cost 1 inf + 0 3.961 * * [simplify]: Extracting #1: cost 0 inf + 1 3.961 * [simplify]: Simplified to 1 3.961 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (/ 1 (/ (sqrt k) (cbrt 1))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.962 * * * * [progress]: [ 84 / 188 ] simplifiying candidate # 3.962 * [simplify]: Simplifying (sqrt 1) 3.962 * * [simplify]: iters left: 1 (2 enodes) 3.963 * * [simplify]: Extracting #0: cost 1 inf + 0 3.963 * * [simplify]: Extracting #1: cost 0 inf + 1 3.963 * [simplify]: Simplified to 1 3.963 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (/ 1 (/ (sqrt k) (sqrt 1))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.964 * * * * [progress]: [ 85 / 188 ] simplifiying candidate # 3.964 * * * * [progress]: [ 86 / 188 ] simplifiying candidate #real (real->posit16 (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))> 3.964 * * * * [progress]: [ 87 / 188 ] simplifiying candidate # 3.964 * [simplify]: Simplifying (* (* 2 PI) n) 3.964 * * [simplify]: iters left: 4 (5 enodes) 3.965 * * [simplify]: iters left: 3 (19 enodes) 3.968 * * [simplify]: iters left: 2 (27 enodes) 3.972 * * [simplify]: iters left: 1 (32 enodes) 3.978 * * [simplify]: Extracting #0: cost 1 inf + 0 3.978 * * [simplify]: Extracting #1: cost 8 inf + 0 3.978 * * [simplify]: Extracting #2: cost 7 inf + 45 3.978 * * [simplify]: Extracting #3: cost 0 inf + 421 3.978 * [simplify]: Simplified to (* (* 2 PI) n) 3.979 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2)))) 3.979 * * * * [progress]: [ 88 / 188 ] simplifiying candidate # 3.979 * [simplify]: Simplifying (* (* 2 PI) n) 3.979 * * [simplify]: iters left: 4 (5 enodes) 3.982 * * [simplify]: iters left: 3 (19 enodes) 3.988 * * [simplify]: iters left: 2 (27 enodes) 3.996 * * [simplify]: iters left: 1 (32 enodes) 4.004 * * [simplify]: Extracting #0: cost 1 inf + 0 4.004 * * [simplify]: Extracting #1: cost 8 inf + 0 4.004 * * [simplify]: Extracting #2: cost 7 inf + 45 4.004 * * [simplify]: Extracting #3: cost 0 inf + 421 4.004 * [simplify]: Simplified to (* (* 2 PI) n) 4.004 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2)))) 4.004 * * * * [progress]: [ 89 / 188 ] simplifiying candidate # 4.005 * * * * [progress]: [ 90 / 188 ] simplifiying candidate # 4.005 * [simplify]: Simplifying (+ (+ (log 2) (log PI)) (log n)) 4.005 * * [simplify]: iters left: 5 (8 enodes) 4.009 * * [simplify]: iters left: 4 (28 enodes) 4.017 * * [simplify]: iters left: 3 (36 enodes) 4.028 * * [simplify]: iters left: 2 (42 enodes) 4.038 * * [simplify]: Extracting #0: cost 1 inf + 0 4.039 * * [simplify]: Extracting #1: cost 8 inf + 0 4.039 * * [simplify]: Extracting #2: cost 17 inf + 0 4.039 * * [simplify]: Extracting #3: cost 13 inf + 74 4.039 * * [simplify]: Extracting #4: cost 6 inf + 1015 4.040 * * [simplify]: Extracting #5: cost 0 inf + 2107 4.040 * [simplify]: Simplified to (+ (log 2) (+ (log PI) (log n))) 4.040 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (exp (+ (log 2) (+ (log PI) (log n)))) (/ (- 1 k) 2)))) 4.040 * * * * [progress]: [ 91 / 188 ] simplifiying candidate # 4.041 * [simplify]: Simplifying (+ (log (* 2 PI)) (log n)) 4.041 * * [simplify]: iters left: 5 (7 enodes) 4.044 * * [simplify]: iters left: 4 (26 enodes) 4.055 * * [simplify]: iters left: 3 (35 enodes) 4.065 * * [simplify]: iters left: 2 (44 enodes) 4.071 * * [simplify]: Extracting #0: cost 1 inf + 0 4.071 * * [simplify]: Extracting #1: cost 8 inf + 0 4.071 * * [simplify]: Extracting #2: cost 18 inf + 0 4.071 * * [simplify]: Extracting #3: cost 15 inf + 74 4.071 * * [simplify]: Extracting #4: cost 6 inf + 918 4.071 * * [simplify]: Extracting #5: cost 0 inf + 1911 4.072 * [simplify]: Simplified to (+ (log (* 2 PI)) (log n)) 4.072 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (exp (+ (log (* 2 PI)) (log n))) (/ (- 1 k) 2)))) 4.072 * * * * [progress]: [ 92 / 188 ] simplifiying candidate # 4.072 * * * * [progress]: [ 93 / 188 ] simplifiying candidate # 4.072 * * * * [progress]: [ 94 / 188 ] simplifiying candidate # 4.072 * [simplify]: Simplifying (* (* (* (* 2 2) 2) (* (* PI PI) PI)) (* (* n n) n)) 4.072 * * [simplify]: iters left: 6 (11 enodes) 4.076 * * [simplify]: iters left: 5 (47 enodes) 4.087 * * [simplify]: iters left: 4 (115 enodes) 4.122 * * [simplify]: iters left: 3 (384 enodes) 4.433 * * [simplify]: Extracting #0: cost 1 inf + 0 4.433 * * [simplify]: Extracting #1: cost 102 inf + 0 4.439 * * [simplify]: Extracting #2: cost 263 inf + 1026 4.444 * * [simplify]: Extracting #3: cost 88 inf + 24284 4.454 * * [simplify]: Extracting #4: cost 2 inf + 40704 4.470 * * [simplify]: Extracting #5: cost 0 inf + 41008 4.481 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n)) 4.481 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (cbrt (* (* (* (* PI n) (* PI n)) 8) (* PI n))) (/ (- 1 k) 2)))) 4.481 * * * * [progress]: [ 95 / 188 ] simplifiying candidate # 4.481 * [simplify]: Simplifying (* (* (* (* 2 PI) (* 2 PI)) (* 2 PI)) (* (* n n) n)) 4.481 * * [simplify]: iters left: 6 (9 enodes) 4.485 * * [simplify]: iters left: 5 (45 enodes) 4.494 * * [simplify]: iters left: 4 (116 enodes) 4.534 * * [simplify]: iters left: 3 (371 enodes) 4.884 * * [simplify]: Extracting #0: cost 1 inf + 0 4.884 * * [simplify]: Extracting #1: cost 82 inf + 0 4.886 * * [simplify]: Extracting #2: cost 200 inf + 498 4.893 * * [simplify]: Extracting #3: cost 121 inf + 10421 4.911 * * [simplify]: Extracting #4: cost 5 inf + 33505 4.921 * * [simplify]: Extracting #5: cost 0 inf + 33849 4.931 * * [simplify]: Extracting #6: cost 0 inf + 33809 4.948 * [simplify]: Simplified to (* (* n PI) (* 8 (* (* n PI) (* n PI)))) 4.948 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (cbrt (* (* n PI) (* 8 (* (* n PI) (* n PI))))) (/ (- 1 k) 2)))) 4.949 * * * * [progress]: [ 96 / 188 ] simplifiying candidate # 4.949 * * * * [progress]: [ 97 / 188 ] simplifiying candidate # 4.949 * * * * [progress]: [ 98 / 188 ] simplifiying candidate # 4.949 * * * * [progress]: [ 99 / 188 ] simplifiying candidate # 4.949 * * * * [progress]: [ 100 / 188 ] simplifiying candidate # 4.949 * [simplify]: Simplifying (cbrt n) 4.949 * * [simplify]: iters left: 1 (2 enodes) 4.950 * * [simplify]: Extracting #0: cost 1 inf + 0 4.950 * * [simplify]: Extracting #1: cost 3 inf + 0 4.950 * * [simplify]: Extracting #2: cost 2 inf + 1 4.950 * * [simplify]: Extracting #3: cost 0 inf + 163 4.951 * [simplify]: Simplified to (cbrt n) 4.951 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* (* 2 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (- 1 k) 2)))) 4.951 * * * * [progress]: [ 101 / 188 ] simplifiying candidate # 4.951 * [simplify]: Simplifying (sqrt n) 4.951 * * [simplify]: iters left: 1 (2 enodes) 4.952 * * [simplify]: Extracting #0: cost 1 inf + 0 4.952 * * [simplify]: Extracting #1: cost 3 inf + 0 4.952 * * [simplify]: Extracting #2: cost 2 inf + 1 4.952 * * [simplify]: Extracting #3: cost 0 inf + 83 4.952 * [simplify]: Simplified to (sqrt n) 4.952 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* (* 2 PI) (sqrt n)) (sqrt n)) (/ (- 1 k) 2)))) 4.952 * * * * [progress]: [ 102 / 188 ] simplifiying candidate # 4.952 * * * * [progress]: [ 103 / 188 ] simplifiying candidate # 4.952 * * * * [progress]: [ 104 / 188 ] simplifiying candidate #real (real->posit16 (* (* 2 PI) n))) (/ (- 1 k) 2))))> 4.952 * * * * [progress]: [ 105 / 188 ] simplifiying candidate # 4.953 * * * * [progress]: [ 106 / 188 ] simplifiying candidate # 4.953 * * * * [progress]: [ 107 / 188 ] simplifiying candidate # 4.953 * [simplify]: Simplifying (+ (- (log (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2))) 4.953 * * [simplify]: iters left: 6 (17 enodes) 4.962 * * [simplify]: iters left: 5 (67 enodes) 4.988 * * [simplify]: iters left: 4 (111 enodes) 5.035 * * [simplify]: iters left: 3 (297 enodes) 5.153 * * [simplify]: Extracting #0: cost 1 inf + 0 5.153 * * [simplify]: Extracting #1: cost 33 inf + 0 5.154 * * [simplify]: Extracting #2: cost 87 inf + 0 5.154 * * [simplify]: Extracting #3: cost 150 inf + 73 5.155 * * [simplify]: Extracting #4: cost 166 inf + 857 5.157 * * [simplify]: Extracting #5: cost 94 inf + 17702 5.166 * * [simplify]: Extracting #6: cost 6 inf + 46007 5.183 * * [simplify]: Extracting #7: cost 0 inf + 48738 5.200 * [simplify]: Simplified to (- (/ (- (+ (log n) (+ (log 2) (log PI))) (* (+ (log n) (+ (log 2) (log PI))) k)) 2) (log (sqrt k))) 5.200 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (+ (log 2) (log PI))) (* (+ (log n) (+ (log 2) (log PI))) k)) 2) (log (sqrt k))))) 5.200 * * * * [progress]: [ 108 / 188 ] simplifiying candidate # 5.201 * [simplify]: Simplifying (+ (- (log (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))) 5.201 * * [simplify]: iters left: 6 (16 enodes) 5.210 * * [simplify]: iters left: 5 (65 enodes) 5.234 * * [simplify]: iters left: 4 (104 enodes) 5.254 * * [simplify]: iters left: 3 (239 enodes) 5.320 * * [simplify]: Extracting #0: cost 1 inf + 0 5.321 * * [simplify]: Extracting #1: cost 27 inf + 0 5.321 * * [simplify]: Extracting #2: cost 74 inf + 0 5.321 * * [simplify]: Extracting #3: cost 128 inf + 2 5.322 * * [simplify]: Extracting #4: cost 142 inf + 759 5.324 * * [simplify]: Extracting #5: cost 73 inf + 12705 5.329 * * [simplify]: Extracting #6: cost 11 inf + 32489 5.340 * * [simplify]: Extracting #7: cost 1 inf + 36150 5.354 * * [simplify]: Extracting #8: cost 0 inf + 36684 5.367 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* k (+ (log n) (log (* 2 PI))))) 2) (log (sqrt k))) 5.367 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* k (+ (log n) (log (* 2 PI))))) 2) (log (sqrt k))))) 5.368 * * * * [progress]: [ 109 / 188 ] simplifiying candidate # 5.368 * [simplify]: Simplifying (+ (- (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 5.368 * * [simplify]: iters left: 6 (15 enodes) 5.376 * * [simplify]: iters left: 5 (64 enodes) 5.387 * * [simplify]: iters left: 4 (111 enodes) 5.411 * * [simplify]: iters left: 3 (223 enodes) 5.482 * * [simplify]: Extracting #0: cost 1 inf + 0 5.482 * * [simplify]: Extracting #1: cost 19 inf + 0 5.482 * * [simplify]: Extracting #2: cost 65 inf + 0 5.483 * * [simplify]: Extracting #3: cost 121 inf + 2 5.483 * * [simplify]: Extracting #4: cost 142 inf + 741 5.488 * * [simplify]: Extracting #5: cost 72 inf + 12707 5.495 * * [simplify]: Extracting #6: cost 6 inf + 29228 5.507 * * [simplify]: Extracting #7: cost 1 inf + 30319 5.520 * * [simplify]: Extracting #8: cost 0 inf + 30744 5.528 * [simplify]: Simplified to (- (/ (- (log (* n (* 2 PI))) (* (log (* n (* 2 PI))) k)) 2) (log (sqrt k))) 5.528 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* n (* 2 PI))) (* (log (* n (* 2 PI))) k)) 2) (log (sqrt k))))) 5.528 * * * * [progress]: [ 110 / 188 ] simplifiying candidate # 5.529 * [simplify]: Simplifying (+ (- (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 5.529 * * [simplify]: iters left: 6 (15 enodes) 5.533 * * [simplify]: iters left: 5 (64 enodes) 5.544 * * [simplify]: iters left: 4 (111 enodes) 5.580 * * [simplify]: iters left: 3 (223 enodes) 5.682 * * [simplify]: Extracting #0: cost 1 inf + 0 5.682 * * [simplify]: Extracting #1: cost 19 inf + 0 5.683 * * [simplify]: Extracting #2: cost 65 inf + 0 5.683 * * [simplify]: Extracting #3: cost 121 inf + 2 5.684 * * [simplify]: Extracting #4: cost 142 inf + 741 5.689 * * [simplify]: Extracting #5: cost 72 inf + 12707 5.700 * * [simplify]: Extracting #6: cost 6 inf + 29228 5.712 * * [simplify]: Extracting #7: cost 1 inf + 30319 5.724 * * [simplify]: Extracting #8: cost 0 inf + 30744 5.737 * [simplify]: Simplified to (- (/ (- (log (* n (* 2 PI))) (* (log (* n (* 2 PI))) k)) 2) (log (sqrt k))) 5.737 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* n (* 2 PI))) (* (log (* n (* 2 PI))) k)) 2) (log (sqrt k))))) 5.737 * * * * [progress]: [ 111 / 188 ] simplifiying candidate # 5.737 * [simplify]: Simplifying (+ (- (log (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 5.738 * * [simplify]: iters left: 6 (15 enodes) 5.751 * * [simplify]: iters left: 5 (63 enodes) 5.773 * * [simplify]: iters left: 4 (107 enodes) 5.794 * * [simplify]: iters left: 3 (215 enodes) 5.857 * * [simplify]: Extracting #0: cost 1 inf + 0 5.857 * * [simplify]: Extracting #1: cost 20 inf + 0 5.857 * * [simplify]: Extracting #2: cost 95 inf + 0 5.858 * * [simplify]: Extracting #3: cost 169 inf + 2 5.858 * * [simplify]: Extracting #4: cost 176 inf + 579 5.860 * * [simplify]: Extracting #5: cost 115 inf + 10248 5.865 * * [simplify]: Extracting #6: cost 21 inf + 33876 5.872 * * [simplify]: Extracting #7: cost 0 inf + 40717 5.879 * * [simplify]: Extracting #8: cost 0 inf + 40597 5.885 * [simplify]: Simplified to (- (/ (- 1 k) (/ 2 (log (* n (* 2 PI))))) (log (sqrt k))) 5.885 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- 1 k) (/ 2 (log (* n (* 2 PI))))) (log (sqrt k))))) 5.886 * * * * [progress]: [ 112 / 188 ] simplifiying candidate # 5.886 * [simplify]: Simplifying (+ (- 0 (log (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2))) 5.886 * * [simplify]: iters left: 6 (18 enodes) 5.891 * * [simplify]: iters left: 5 (73 enodes) 5.904 * * [simplify]: iters left: 4 (128 enodes) 5.935 * * [simplify]: iters left: 3 (376 enodes) 6.114 * * [simplify]: Extracting #0: cost 1 inf + 0 6.114 * * [simplify]: Extracting #1: cost 46 inf + 0 6.114 * * [simplify]: Extracting #2: cost 174 inf + 1 6.115 * * [simplify]: Extracting #3: cost 249 inf + 74 6.117 * * [simplify]: Extracting #4: cost 230 inf + 8323 6.126 * * [simplify]: Extracting #5: cost 63 inf + 59342 6.150 * * [simplify]: Extracting #6: cost 1 inf + 81574 6.166 * * [simplify]: Extracting #7: cost 0 inf + 82024 6.187 * * [simplify]: Extracting #8: cost 0 inf + 82023 6.207 * [simplify]: Simplified to (- (/ (- (+ (log n) (+ (log PI) (log 2))) (* k (+ (log n) (+ (log PI) (log 2))))) 2) (log (sqrt k))) 6.207 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (+ (log PI) (log 2))) (* k (+ (log n) (+ (log PI) (log 2))))) 2) (log (sqrt k))))) 6.207 * * * * [progress]: [ 113 / 188 ] simplifiying candidate # 6.207 * [simplify]: Simplifying (+ (- 0 (log (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))) 6.207 * * [simplify]: iters left: 6 (17 enodes) 6.213 * * [simplify]: iters left: 5 (71 enodes) 6.229 * * [simplify]: iters left: 4 (121 enodes) 6.255 * * [simplify]: iters left: 3 (302 enodes) 6.401 * * [simplify]: Extracting #0: cost 1 inf + 0 6.401 * * [simplify]: Extracting #1: cost 37 inf + 0 6.402 * * [simplify]: Extracting #2: cost 145 inf + 1 6.403 * * [simplify]: Extracting #3: cost 215 inf + 3 6.405 * * [simplify]: Extracting #4: cost 201 inf + 6020 6.413 * * [simplify]: Extracting #5: cost 35 inf + 50552 6.425 * * [simplify]: Extracting #6: cost 0 inf + 62673 6.444 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))) 6.444 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))))) 6.444 * * * * [progress]: [ 114 / 188 ] simplifiying candidate # 6.444 * [simplify]: Simplifying (+ (- 0 (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 6.444 * * [simplify]: iters left: 6 (16 enodes) 6.453 * * [simplify]: iters left: 5 (70 enodes) 6.471 * * [simplify]: iters left: 4 (128 enodes) 6.501 * * [simplify]: iters left: 3 (276 enodes) 6.614 * * [simplify]: Extracting #0: cost 1 inf + 0 6.614 * * [simplify]: Extracting #1: cost 27 inf + 0 6.614 * * [simplify]: Extracting #2: cost 116 inf + 1 6.615 * * [simplify]: Extracting #3: cost 190 inf + 3 6.616 * * [simplify]: Extracting #4: cost 184 inf + 4125 6.621 * * [simplify]: Extracting #5: cost 63 inf + 31414 6.630 * * [simplify]: Extracting #6: cost 4 inf + 47655 6.640 * * [simplify]: Extracting #7: cost 0 inf + 48696 6.655 * * [simplify]: Extracting #8: cost 0 inf + 48688 6.676 * * [simplify]: Extracting #9: cost 0 inf + 48686 6.691 * [simplify]: Simplified to (- (/ (- (log (* (* 2 PI) n)) (* (log (* (* 2 PI) n)) k)) 2) (log (sqrt k))) 6.691 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* 2 PI) n)) (* (log (* (* 2 PI) n)) k)) 2) (log (sqrt k))))) 6.691 * * * * [progress]: [ 115 / 188 ] simplifiying candidate # 6.691 * [simplify]: Simplifying (+ (- 0 (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 6.691 * * [simplify]: iters left: 6 (16 enodes) 6.696 * * [simplify]: iters left: 5 (70 enodes) 6.711 * * [simplify]: iters left: 4 (128 enodes) 6.757 * * [simplify]: iters left: 3 (276 enodes) 6.866 * * [simplify]: Extracting #0: cost 1 inf + 0 6.866 * * [simplify]: Extracting #1: cost 27 inf + 0 6.866 * * [simplify]: Extracting #2: cost 116 inf + 1 6.868 * * [simplify]: Extracting #3: cost 190 inf + 3 6.870 * * [simplify]: Extracting #4: cost 184 inf + 4125 6.880 * * [simplify]: Extracting #5: cost 63 inf + 31414 6.898 * * [simplify]: Extracting #6: cost 4 inf + 47655 6.922 * * [simplify]: Extracting #7: cost 0 inf + 48696 6.942 * * [simplify]: Extracting #8: cost 0 inf + 48688 6.961 * * [simplify]: Extracting #9: cost 0 inf + 48686 6.981 * [simplify]: Simplified to (- (/ (- (log (* (* 2 PI) n)) (* (log (* (* 2 PI) n)) k)) 2) (log (sqrt k))) 6.981 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* 2 PI) n)) (* (log (* (* 2 PI) n)) k)) 2) (log (sqrt k))))) 6.982 * * * * [progress]: [ 116 / 188 ] simplifiying candidate # 6.982 * [simplify]: Simplifying (+ (- 0 (log (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 6.982 * * [simplify]: iters left: 6 (16 enodes) 6.992 * * [simplify]: iters left: 5 (69 enodes) 7.016 * * [simplify]: iters left: 4 (124 enodes) 7.044 * * [simplify]: iters left: 3 (259 enodes) 7.159 * * [simplify]: Extracting #0: cost 1 inf + 0 7.159 * * [simplify]: Extracting #1: cost 27 inf + 0 7.159 * * [simplify]: Extracting #2: cost 145 inf + 1 7.160 * * [simplify]: Extracting #3: cost 234 inf + 3 7.161 * * [simplify]: Extracting #4: cost 227 inf + 2046 7.164 * * [simplify]: Extracting #5: cost 143 inf + 17826 7.170 * * [simplify]: Extracting #6: cost 50 inf + 43416 7.188 * * [simplify]: Extracting #7: cost 0 inf + 57654 7.209 * * [simplify]: Extracting #8: cost 0 inf + 57614 7.230 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (log (* (* n 2) PI))) (log (sqrt k))) 7.230 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log (* (* n 2) PI))) (log (sqrt k))))) 7.230 * * * * [progress]: [ 117 / 188 ] simplifiying candidate # 7.231 * [simplify]: Simplifying (+ (- (log 1) (log (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2))) 7.231 * * [simplify]: iters left: 6 (18 enodes) 7.242 * * [simplify]: iters left: 5 (74 enodes) 7.266 * * [simplify]: iters left: 4 (123 enodes) 7.310 * * [simplify]: iters left: 3 (352 enodes) 7.449 * * [simplify]: Extracting #0: cost 1 inf + 0 7.449 * * [simplify]: Extracting #1: cost 44 inf + 0 7.450 * * [simplify]: Extracting #2: cost 169 inf + 1 7.451 * * [simplify]: Extracting #3: cost 243 inf + 74 7.453 * * [simplify]: Extracting #4: cost 252 inf + 1557 7.459 * * [simplify]: Extracting #5: cost 186 inf + 15412 7.482 * * [simplify]: Extracting #6: cost 49 inf + 60900 7.510 * * [simplify]: Extracting #7: cost 4 inf + 78429 7.540 * * [simplify]: Extracting #8: cost 0 inf + 80185 7.566 * [simplify]: Simplified to (- (/ (- (+ (log n) (+ (log PI) (log 2))) (* k (+ (log n) (+ (log PI) (log 2))))) 2) (log (sqrt k))) 7.567 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (+ (log PI) (log 2))) (* k (+ (log n) (+ (log PI) (log 2))))) 2) (log (sqrt k))))) 7.567 * * * * [progress]: [ 118 / 188 ] simplifiying candidate # 7.567 * [simplify]: Simplifying (+ (- (log 1) (log (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))) 7.567 * * [simplify]: iters left: 6 (17 enodes) 7.573 * * [simplify]: iters left: 5 (72 enodes) 7.584 * * [simplify]: iters left: 4 (116 enodes) 7.616 * * [simplify]: iters left: 3 (286 enodes) 7.728 * * [simplify]: Extracting #0: cost 1 inf + 0 7.728 * * [simplify]: Extracting #1: cost 36 inf + 0 7.729 * * [simplify]: Extracting #2: cost 139 inf + 1 7.730 * * [simplify]: Extracting #3: cost 209 inf + 3 7.731 * * [simplify]: Extracting #4: cost 196 inf + 6399 7.738 * * [simplify]: Extracting #5: cost 54 inf + 42664 7.749 * * [simplify]: Extracting #6: cost 1 inf + 60164 7.761 * * [simplify]: Extracting #7: cost 0 inf + 60309 7.778 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* PI 2))) (* k (+ (log n) (log (* PI 2))))) 2) (log (sqrt k))) 7.778 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* PI 2))) (* k (+ (log n) (log (* PI 2))))) 2) (log (sqrt k))))) 7.779 * * * * [progress]: [ 119 / 188 ] simplifiying candidate # 7.779 * [simplify]: Simplifying (+ (- (log 1) (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 7.779 * * [simplify]: iters left: 6 (16 enodes) 7.789 * * [simplify]: iters left: 5 (71 enodes) 7.801 * * [simplify]: iters left: 4 (123 enodes) 7.824 * * [simplify]: iters left: 3 (269 enodes) 7.932 * * [simplify]: Extracting #0: cost 1 inf + 0 7.933 * * [simplify]: Extracting #1: cost 27 inf + 0 7.933 * * [simplify]: Extracting #2: cost 116 inf + 1 7.934 * * [simplify]: Extracting #3: cost 190 inf + 3 7.937 * * [simplify]: Extracting #4: cost 179 inf + 5800 7.950 * * [simplify]: Extracting #5: cost 40 inf + 37465 7.970 * * [simplify]: Extracting #6: cost 0 inf + 48625 7.994 * [simplify]: Simplified to (- (/ (- (log (* n (* PI 2))) (* (log (* n (* PI 2))) k)) 2) (log (sqrt k))) 7.994 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* n (* PI 2))) (* (log (* n (* PI 2))) k)) 2) (log (sqrt k))))) 7.994 * * * * [progress]: [ 120 / 188 ] simplifiying candidate # 7.994 * [simplify]: Simplifying (+ (- (log 1) (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 7.994 * * [simplify]: iters left: 6 (16 enodes) 7.999 * * [simplify]: iters left: 5 (71 enodes) 8.011 * * [simplify]: iters left: 4 (123 enodes) 8.035 * * [simplify]: iters left: 3 (269 enodes) 8.130 * * [simplify]: Extracting #0: cost 1 inf + 0 8.130 * * [simplify]: Extracting #1: cost 27 inf + 0 8.130 * * [simplify]: Extracting #2: cost 116 inf + 1 8.132 * * [simplify]: Extracting #3: cost 190 inf + 3 8.134 * * [simplify]: Extracting #4: cost 179 inf + 5800 8.144 * * [simplify]: Extracting #5: cost 40 inf + 37465 8.153 * * [simplify]: Extracting #6: cost 0 inf + 48625 8.167 * [simplify]: Simplified to (- (/ (- (log (* n (* PI 2))) (* (log (* n (* PI 2))) k)) 2) (log (sqrt k))) 8.167 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* n (* PI 2))) (* (log (* n (* PI 2))) k)) 2) (log (sqrt k))))) 8.167 * * * * [progress]: [ 121 / 188 ] simplifiying candidate # 8.167 * [simplify]: Simplifying (+ (- (log 1) (log (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 8.167 * * [simplify]: iters left: 6 (16 enodes) 8.172 * * [simplify]: iters left: 5 (70 enodes) 8.194 * * [simplify]: iters left: 4 (119 enodes) 8.234 * * [simplify]: iters left: 3 (255 enodes) 8.300 * * [simplify]: Extracting #0: cost 1 inf + 0 8.301 * * [simplify]: Extracting #1: cost 28 inf + 0 8.301 * * [simplify]: Extracting #2: cost 145 inf + 1 8.302 * * [simplify]: Extracting #3: cost 234 inf + 3 8.304 * * [simplify]: Extracting #4: cost 225 inf + 2146 8.310 * * [simplify]: Extracting #5: cost 134 inf + 19971 8.319 * * [simplify]: Extracting #6: cost 36 inf + 44913 8.329 * * [simplify]: Extracting #7: cost 0 inf + 58023 8.339 * * [simplify]: Extracting #8: cost 0 inf + 57823 8.360 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (log (* PI (* n 2)))) (log (sqrt k))) 8.360 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log (* PI (* n 2)))) (log (sqrt k))))) 8.360 * * * * [progress]: [ 122 / 188 ] simplifiying candidate # 8.360 * [simplify]: Simplifying (+ (log (/ 1 (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2))) 8.360 * * [simplify]: iters left: 6 (17 enodes) 8.370 * * [simplify]: iters left: 5 (71 enodes) 8.393 * * [simplify]: iters left: 4 (117 enodes) 8.442 * * [simplify]: iters left: 3 (308 enodes) 8.566 * * [simplify]: Extracting #0: cost 1 inf + 0 8.566 * * [simplify]: Extracting #1: cost 36 inf + 0 8.566 * * [simplify]: Extracting #2: cost 109 inf + 1 8.567 * * [simplify]: Extracting #3: cost 168 inf + 74 8.569 * * [simplify]: Extracting #4: cost 180 inf + 1235 8.576 * * [simplify]: Extracting #5: cost 98 inf + 21050 8.599 * * [simplify]: Extracting #6: cost 6 inf + 53801 8.618 * * [simplify]: Extracting #7: cost 0 inf + 55704 8.639 * [simplify]: Simplified to (- (/ (- (+ (+ (log PI) (log n)) (log 2)) (* k (+ (+ (log PI) (log n)) (log 2)))) 2) (log (sqrt k))) 8.639 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (+ (log PI) (log n)) (log 2)) (* k (+ (+ (log PI) (log n)) (log 2)))) 2) (log (sqrt k))))) 8.639 * * * * [progress]: [ 123 / 188 ] simplifiying candidate # 8.640 * [simplify]: Simplifying (+ (log (/ 1 (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))) 8.640 * * [simplify]: iters left: 6 (16 enodes) 8.649 * * [simplify]: iters left: 5 (69 enodes) 8.670 * * [simplify]: iters left: 4 (110 enodes) 8.711 * * [simplify]: iters left: 3 (249 enodes) 8.839 * * [simplify]: Extracting #0: cost 1 inf + 0 8.839 * * [simplify]: Extracting #1: cost 29 inf + 0 8.839 * * [simplify]: Extracting #2: cost 89 inf + 1 8.840 * * [simplify]: Extracting #3: cost 144 inf + 3 8.841 * * [simplify]: Extracting #4: cost 163 inf + 464 8.844 * * [simplify]: Extracting #5: cost 105 inf + 8181 8.856 * * [simplify]: Extracting #6: cost 14 inf + 37863 8.876 * * [simplify]: Extracting #7: cost 1 inf + 41636 8.893 * * [simplify]: Extracting #8: cost 0 inf + 41977 8.910 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))) 8.910 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))))) 8.910 * * * * [progress]: [ 124 / 188 ] simplifiying candidate # 8.911 * [simplify]: Simplifying (+ (log (/ 1 (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 8.911 * * [simplify]: iters left: 6 (15 enodes) 8.920 * * [simplify]: iters left: 5 (68 enodes) 8.941 * * [simplify]: iters left: 4 (117 enodes) 8.984 * * [simplify]: iters left: 3 (233 enodes) 9.066 * * [simplify]: Extracting #0: cost 1 inf + 0 9.066 * * [simplify]: Extracting #1: cost 21 inf + 0 9.066 * * [simplify]: Extracting #2: cost 77 inf + 1 9.067 * * [simplify]: Extracting #3: cost 133 inf + 74 9.068 * * [simplify]: Extracting #4: cost 151 inf + 995 9.073 * * [simplify]: Extracting #5: cost 77 inf + 13831 9.084 * * [simplify]: Extracting #6: cost 6 inf + 31822 9.097 * * [simplify]: Extracting #7: cost 0 inf + 34387 9.104 * [simplify]: Simplified to (- (/ (- (log (* (* 2 PI) n)) (* (log (* (* 2 PI) n)) k)) 2) (log (sqrt k))) 9.104 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* 2 PI) n)) (* (log (* (* 2 PI) n)) k)) 2) (log (sqrt k))))) 9.104 * * * * [progress]: [ 125 / 188 ] simplifiying candidate # 9.104 * [simplify]: Simplifying (+ (log (/ 1 (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 9.104 * * [simplify]: iters left: 6 (15 enodes) 9.112 * * [simplify]: iters left: 5 (68 enodes) 9.124 * * [simplify]: iters left: 4 (117 enodes) 9.145 * * [simplify]: iters left: 3 (233 enodes) 9.222 * * [simplify]: Extracting #0: cost 1 inf + 0 9.222 * * [simplify]: Extracting #1: cost 21 inf + 0 9.223 * * [simplify]: Extracting #2: cost 77 inf + 1 9.223 * * [simplify]: Extracting #3: cost 133 inf + 74 9.225 * * [simplify]: Extracting #4: cost 151 inf + 995 9.229 * * [simplify]: Extracting #5: cost 77 inf + 13831 9.240 * * [simplify]: Extracting #6: cost 6 inf + 31822 9.254 * * [simplify]: Extracting #7: cost 0 inf + 34387 9.268 * [simplify]: Simplified to (- (/ (- (log (* (* 2 PI) n)) (* (log (* (* 2 PI) n)) k)) 2) (log (sqrt k))) 9.268 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* 2 PI) n)) (* (log (* (* 2 PI) n)) k)) 2) (log (sqrt k))))) 9.268 * * * * [progress]: [ 126 / 188 ] simplifiying candidate # 9.268 * [simplify]: Simplifying (+ (log (/ 1 (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 9.269 * * [simplify]: iters left: 6 (15 enodes) 9.277 * * [simplify]: iters left: 5 (67 enodes) 9.300 * * [simplify]: iters left: 4 (117 enodes) 9.341 * * [simplify]: iters left: 3 (224 enodes) 9.419 * * [simplify]: Extracting #0: cost 1 inf + 0 9.419 * * [simplify]: Extracting #1: cost 22 inf + 0 9.419 * * [simplify]: Extracting #2: cost 106 inf + 1 9.420 * * [simplify]: Extracting #3: cost 179 inf + 74 9.421 * * [simplify]: Extracting #4: cost 179 inf + 1141 9.422 * * [simplify]: Extracting #5: cost 125 inf + 10759 9.427 * * [simplify]: Extracting #6: cost 29 inf + 38783 9.444 * * [simplify]: Extracting #7: cost 1 inf + 44007 9.459 * * [simplify]: Extracting #8: cost 0 inf + 44283 9.473 * [simplify]: Simplified to (- (* (log (* PI (* n 2))) (/ (- 1 k) 2)) (log (sqrt k))) 9.474 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (log (* PI (* n 2))) (/ (- 1 k) 2)) (log (sqrt k))))) 9.474 * * * * [progress]: [ 127 / 188 ] simplifiying candidate # 9.474 * * * * [progress]: [ 128 / 188 ] simplifiying candidate # 9.474 * * * * [progress]: [ 129 / 188 ] simplifiying candidate # 9.474 * [simplify]: Simplifying (* (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 9.474 * * [simplify]: iters left: 6 (19 enodes) 9.485 * * [simplify]: iters left: 5 (80 enodes) 9.516 * * [simplify]: iters left: 4 (188 enodes) 9.607 * * [simplify]: Extracting #0: cost 1 inf + 0 9.608 * * [simplify]: Extracting #1: cost 52 inf + 0 9.608 * * [simplify]: Extracting #2: cost 152 inf + 248 9.609 * * [simplify]: Extracting #3: cost 161 inf + 1681 9.610 * * [simplify]: Extracting #4: cost 148 inf + 2885 9.613 * * [simplify]: Extracting #5: cost 100 inf + 19336 9.624 * * [simplify]: Extracting #6: cost 2 inf + 75093 9.637 * * [simplify]: Extracting #7: cost 0 inf + 75063 9.652 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (/ (/ (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (pow (* (* PI 2) n) (/ (- 1 k) 2))) k) (sqrt k))) 9.652 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (/ (/ (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (pow (* (* PI 2) n) (/ (- 1 k) 2))) k) (sqrt k))))) 9.652 * * * * [progress]: [ 130 / 188 ] simplifiying candidate # 9.653 * [simplify]: Simplifying (* (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))) (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 9.653 * * [simplify]: iters left: 6 (17 enodes) 9.658 * * [simplify]: iters left: 5 (81 enodes) 9.687 * * [simplify]: iters left: 4 (170 enodes) 9.759 * * [simplify]: iters left: 3 (476 enodes) 10.051 * * [simplify]: Extracting #0: cost 1 inf + 0 10.052 * * [simplify]: Extracting #1: cost 91 inf + 0 10.054 * * [simplify]: Extracting #2: cost 417 inf + 3 10.058 * * [simplify]: Extracting #3: cost 448 inf + 952 10.063 * * [simplify]: Extracting #4: cost 416 inf + 4772 10.076 * * [simplify]: Extracting #5: cost 331 inf + 49541 10.140 * * [simplify]: Extracting #6: cost 64 inf + 238599 10.204 * * [simplify]: Extracting #7: cost 0 inf + 283122 10.295 * * [simplify]: Extracting #8: cost 0 inf + 280464 10.354 * * [simplify]: Extracting #9: cost 0 inf + 280424 10.445 * [simplify]: Simplified to (* (/ (* (* (pow (* n (* PI 2)) (/ (- 1 k) 4)) (pow (* n (* PI 2)) (/ (- 1 k) 4))) (pow (* n (* PI 2)) (/ (- 1 k) 4))) (* k (sqrt k))) (* (* (pow (* n (* PI 2)) (/ (- 1 k) 4)) (pow (* n (* PI 2)) (/ (- 1 k) 4))) (pow (* n (* PI 2)) (/ (- 1 k) 4)))) 10.445 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (/ (* (* (pow (* n (* PI 2)) (/ (- 1 k) 4)) (pow (* n (* PI 2)) (/ (- 1 k) 4))) (pow (* n (* PI 2)) (/ (- 1 k) 4))) (* k (sqrt k))) (* (* (pow (* n (* PI 2)) (/ (- 1 k) 4)) (pow (* n (* PI 2)) (/ (- 1 k) 4))) (pow (* n (* PI 2)) (/ (- 1 k) 4)))))) 10.446 * * * * [progress]: [ 131 / 188 ] simplifiying candidate # 10.446 * * * * [progress]: [ 132 / 188 ] simplifiying candidate # 10.446 * * * * [progress]: [ 133 / 188 ] simplifiying candidate # 10.446 * * * * [progress]: [ 134 / 188 ] simplifiying candidate # 10.446 * [simplify]: Simplifying (* 1 (pow (* (* 2 PI) n) (/ 1 2))) 10.446 * * [simplify]: iters left: 6 (9 enodes) 10.455 * * [simplify]: iters left: 5 (37 enodes) 10.468 * * [simplify]: iters left: 4 (66 enodes) 10.481 * * [simplify]: iters left: 3 (105 enodes) 10.501 * * [simplify]: iters left: 2 (164 enodes) 10.536 * * [simplify]: iters left: 1 (292 enodes) 10.678 * * [simplify]: Extracting #0: cost 1 inf + 0 10.678 * * [simplify]: Extracting #1: cost 18 inf + 0 10.679 * * [simplify]: Extracting #2: cost 64 inf + 3 10.679 * * [simplify]: Extracting #3: cost 68 inf + 53 10.680 * * [simplify]: Extracting #4: cost 55 inf + 2111 10.684 * * [simplify]: Extracting #5: cost 21 inf + 17969 10.690 * * [simplify]: Extracting #6: cost 0 inf + 32739 10.694 * * [simplify]: Extracting #7: cost 0 inf + 32659 10.698 * [simplify]: Simplified to (sqrt (* PI (* 2 n))) 10.699 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (* PI (* 2 n))) (* (sqrt k) (pow (* (* 2 PI) n) (/ k 2))))) 10.699 * [simplify]: Simplifying (* (sqrt k) (pow (* (* 2 PI) n) (/ k 2))) 10.699 * * [simplify]: iters left: 6 (10 enodes) 10.702 * * [simplify]: iters left: 5 (38 enodes) 10.708 * * [simplify]: iters left: 4 (62 enodes) 10.719 * * [simplify]: iters left: 3 (104 enodes) 10.751 * * [simplify]: iters left: 2 (205 enodes) 10.804 * * [simplify]: iters left: 1 (464 enodes) 11.072 * * [simplify]: Extracting #0: cost 1 inf + 0 11.072 * * [simplify]: Extracting #1: cost 47 inf + 0 11.074 * * [simplify]: Extracting #2: cost 169 inf + 0 11.075 * * [simplify]: Extracting #3: cost 207 inf + 87 11.079 * * [simplify]: Extracting #4: cost 170 inf + 6541 11.093 * * [simplify]: Extracting #5: cost 78 inf + 60938 11.131 * * [simplify]: Extracting #6: cost 4 inf + 129528 11.158 * * [simplify]: Extracting #7: cost 0 inf + 129330 11.192 * * [simplify]: Extracting #8: cost 0 inf + 127557 11.232 * * [simplify]: Extracting #9: cost 0 inf + 127427 11.272 * [simplify]: Simplified to (* (pow (* (* 2 PI) n) (/ k 2)) (sqrt k)) 11.272 * [simplify]: Simplified (2 2) to (λ (k n) (/ (sqrt (* PI (* 2 n))) (* (pow (* (* 2 PI) n) (/ k 2)) (sqrt k)))) 11.273 * * * * [progress]: [ 135 / 188 ] simplifiying candidate # 11.273 * * * * [progress]: [ 136 / 188 ] simplifiying candidate # 11.273 * [simplify]: Simplifying (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 11.273 * * [simplify]: iters left: 6 (15 enodes) 11.282 * * [simplify]: iters left: 5 (61 enodes) 11.302 * * [simplify]: iters left: 4 (91 enodes) 11.320 * * [simplify]: iters left: 3 (129 enodes) 11.351 * * [simplify]: iters left: 2 (215 enodes) 11.427 * * [simplify]: iters left: 1 (375 enodes) 11.550 * * [simplify]: Extracting #0: cost 1 inf + 0 11.550 * * [simplify]: Extracting #1: cost 4 inf + 0 11.550 * * [simplify]: Extracting #2: cost 9 inf + 0 11.550 * * [simplify]: Extracting #3: cost 39 inf + 0 11.550 * * [simplify]: Extracting #4: cost 118 inf + 2 11.551 * * [simplify]: Extracting #5: cost 138 inf + 713 11.553 * * [simplify]: Extracting #6: cost 87 inf + 9065 11.562 * * [simplify]: Extracting #7: cost 12 inf + 46205 11.577 * * [simplify]: Extracting #8: cost 0 inf + 55733 11.587 * * [simplify]: Extracting #9: cost 0 inf + 54639 11.597 * * [simplify]: Extracting #10: cost 0 inf + 54558 11.617 * [simplify]: Simplified to (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) 11.618 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 11.618 * [simplify]: Simplifying (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 11.618 * * [simplify]: iters left: 6 (15 enodes) 11.624 * * [simplify]: iters left: 5 (61 enodes) 11.634 * * [simplify]: iters left: 4 (91 enodes) 11.650 * * [simplify]: iters left: 3 (129 enodes) 11.689 * * [simplify]: iters left: 2 (215 enodes) 11.749 * * [simplify]: iters left: 1 (375 enodes) 11.893 * * [simplify]: Extracting #0: cost 1 inf + 0 11.893 * * [simplify]: Extracting #1: cost 4 inf + 0 11.893 * * [simplify]: Extracting #2: cost 9 inf + 0 11.893 * * [simplify]: Extracting #3: cost 39 inf + 0 11.893 * * [simplify]: Extracting #4: cost 118 inf + 2 11.894 * * [simplify]: Extracting #5: cost 138 inf + 713 11.896 * * [simplify]: Extracting #6: cost 87 inf + 9065 11.902 * * [simplify]: Extracting #7: cost 12 inf + 46205 11.919 * * [simplify]: Extracting #8: cost 0 inf + 55733 11.938 * * [simplify]: Extracting #9: cost 0 inf + 54639 11.948 * * [simplify]: Extracting #10: cost 0 inf + 54558 11.963 * [simplify]: Simplified to (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) 11.964 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))))) 11.964 * * * * [progress]: [ 137 / 188 ] simplifiying candidate # 11.964 * [simplify]: Simplifying (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 11.964 * * [simplify]: iters left: 6 (15 enodes) 11.973 * * [simplify]: iters left: 5 (64 enodes) 11.995 * * [simplify]: iters left: 4 (101 enodes) 12.029 * * [simplify]: iters left: 3 (160 enodes) 12.088 * * [simplify]: iters left: 2 (299 enodes) 12.179 * * [simplify]: Extracting #0: cost 1 inf + 0 12.179 * * [simplify]: Extracting #1: cost 34 inf + 0 12.180 * * [simplify]: Extracting #2: cost 102 inf + 0 12.180 * * [simplify]: Extracting #3: cost 155 inf + 2 12.181 * * [simplify]: Extracting #4: cost 168 inf + 139 12.182 * * [simplify]: Extracting #5: cost 136 inf + 4159 12.185 * * [simplify]: Extracting #6: cost 78 inf + 13897 12.193 * * [simplify]: Extracting #7: cost 16 inf + 59233 12.204 * * [simplify]: Extracting #8: cost 0 inf + 73111 12.222 * * [simplify]: Extracting #9: cost 0 inf + 73021 12.243 * [simplify]: Simplified to (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))) 12.244 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))) 12.244 * [simplify]: Simplifying (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 12.244 * * [simplify]: iters left: 6 (15 enodes) 12.253 * * [simplify]: iters left: 5 (64 enodes) 12.274 * * [simplify]: iters left: 4 (101 enodes) 12.311 * * [simplify]: iters left: 3 (160 enodes) 12.357 * * [simplify]: iters left: 2 (299 enodes) 12.446 * * [simplify]: Extracting #0: cost 1 inf + 0 12.446 * * [simplify]: Extracting #1: cost 34 inf + 0 12.446 * * [simplify]: Extracting #2: cost 102 inf + 0 12.447 * * [simplify]: Extracting #3: cost 155 inf + 2 12.448 * * [simplify]: Extracting #4: cost 168 inf + 139 12.451 * * [simplify]: Extracting #5: cost 136 inf + 4159 12.454 * * [simplify]: Extracting #6: cost 78 inf + 13897 12.462 * * [simplify]: Extracting #7: cost 16 inf + 59233 12.473 * * [simplify]: Extracting #8: cost 0 inf + 73111 12.489 * * [simplify]: Extracting #9: cost 0 inf + 73021 12.510 * [simplify]: Simplified to (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))) 12.510 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))))) 12.510 * * * * [progress]: [ 138 / 188 ] simplifiying candidate # 12.511 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 12.511 * * [simplify]: iters left: 6 (16 enodes) 12.516 * * [simplify]: iters left: 5 (66 enodes) 12.527 * * [simplify]: iters left: 4 (106 enodes) 12.552 * * [simplify]: iters left: 3 (156 enodes) 12.600 * * [simplify]: iters left: 2 (230 enodes) 12.657 * * [simplify]: iters left: 1 (385 enodes) 12.819 * * [simplify]: Extracting #0: cost 1 inf + 0 12.819 * * [simplify]: Extracting #1: cost 7 inf + 0 12.819 * * [simplify]: Extracting #2: cost 13 inf + 1 12.819 * * [simplify]: Extracting #3: cost 39 inf + 1 12.820 * * [simplify]: Extracting #4: cost 111 inf + 288 12.822 * * [simplify]: Extracting #5: cost 135 inf + 1697 12.828 * * [simplify]: Extracting #6: cost 69 inf + 16537 12.847 * * [simplify]: Extracting #7: cost 2 inf + 58558 12.865 * * [simplify]: Extracting #8: cost 0 inf + 59911 12.883 * * [simplify]: Extracting #9: cost 0 inf + 59711 12.900 * [simplify]: Simplified to (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 12.901 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 12.901 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 12.901 * * [simplify]: iters left: 6 (16 enodes) 12.911 * * [simplify]: iters left: 5 (66 enodes) 12.934 * * [simplify]: iters left: 4 (106 enodes) 12.967 * * [simplify]: iters left: 3 (156 enodes) 13.003 * * [simplify]: iters left: 2 (230 enodes) 13.073 * * [simplify]: iters left: 1 (385 enodes) 13.231 * * [simplify]: Extracting #0: cost 1 inf + 0 13.231 * * [simplify]: Extracting #1: cost 7 inf + 0 13.231 * * [simplify]: Extracting #2: cost 13 inf + 1 13.231 * * [simplify]: Extracting #3: cost 39 inf + 1 13.232 * * [simplify]: Extracting #4: cost 111 inf + 288 13.232 * * [simplify]: Extracting #5: cost 135 inf + 1697 13.235 * * [simplify]: Extracting #6: cost 69 inf + 16537 13.243 * * [simplify]: Extracting #7: cost 2 inf + 58558 13.260 * * [simplify]: Extracting #8: cost 0 inf + 59911 13.279 * * [simplify]: Extracting #9: cost 0 inf + 59711 13.290 * [simplify]: Simplified to (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 13.291 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 13.291 * * * * [progress]: [ 139 / 188 ] simplifiying candidate # 13.291 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 13.291 * * [simplify]: iters left: 6 (16 enodes) 13.296 * * [simplify]: iters left: 5 (69 enodes) 13.311 * * [simplify]: iters left: 4 (113 enodes) 13.342 * * [simplify]: iters left: 3 (192 enodes) 13.402 * * [simplify]: iters left: 2 (378 enodes) 13.523 * * [simplify]: Extracting #0: cost 1 inf + 0 13.523 * * [simplify]: Extracting #1: cost 45 inf + 0 13.524 * * [simplify]: Extracting #2: cost 112 inf + 1 13.524 * * [simplify]: Extracting #3: cost 167 inf + 3 13.525 * * [simplify]: Extracting #4: cost 176 inf + 259 13.527 * * [simplify]: Extracting #5: cost 141 inf + 5103 13.531 * * [simplify]: Extracting #6: cost 76 inf + 19730 13.544 * * [simplify]: Extracting #7: cost 10 inf + 66527 13.556 * * [simplify]: Extracting #8: cost 0 inf + 76629 13.569 * [simplify]: Simplified to (/ (pow (* (* n 2) PI) (* 1/4 (- 1 k))) (sqrt (sqrt k))) 13.569 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* n 2) PI) (* 1/4 (- 1 k))) (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))) 13.570 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 13.570 * * [simplify]: iters left: 6 (16 enodes) 13.579 * * [simplify]: iters left: 5 (69 enodes) 13.595 * * [simplify]: iters left: 4 (113 enodes) 13.622 * * [simplify]: iters left: 3 (192 enodes) 13.665 * * [simplify]: iters left: 2 (378 enodes) 13.803 * * [simplify]: Extracting #0: cost 1 inf + 0 13.803 * * [simplify]: Extracting #1: cost 45 inf + 0 13.804 * * [simplify]: Extracting #2: cost 112 inf + 1 13.804 * * [simplify]: Extracting #3: cost 167 inf + 3 13.805 * * [simplify]: Extracting #4: cost 176 inf + 259 13.806 * * [simplify]: Extracting #5: cost 141 inf + 5103 13.810 * * [simplify]: Extracting #6: cost 76 inf + 19730 13.824 * * [simplify]: Extracting #7: cost 10 inf + 66527 13.843 * * [simplify]: Extracting #8: cost 0 inf + 76629 13.855 * [simplify]: Simplified to (/ (pow (* (* n 2) PI) (* 1/4 (- 1 k))) (sqrt (sqrt k))) 13.856 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (/ (pow (* (* n 2) PI) (* 1/4 (- 1 k))) (sqrt (sqrt k))))) 13.856 * * * * [progress]: [ 140 / 188 ] simplifiying candidate # 13.856 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 13.856 * * [simplify]: iters left: 6 (16 enodes) 13.861 * * [simplify]: iters left: 5 (66 enodes) 13.875 * * [simplify]: iters left: 4 (106 enodes) 13.912 * * [simplify]: iters left: 3 (156 enodes) 13.943 * * [simplify]: iters left: 2 (230 enodes) 14.008 * * [simplify]: iters left: 1 (385 enodes) 14.133 * * [simplify]: Extracting #0: cost 1 inf + 0 14.134 * * [simplify]: Extracting #1: cost 7 inf + 0 14.134 * * [simplify]: Extracting #2: cost 13 inf + 1 14.134 * * [simplify]: Extracting #3: cost 39 inf + 1 14.135 * * [simplify]: Extracting #4: cost 111 inf + 288 14.136 * * [simplify]: Extracting #5: cost 135 inf + 1697 14.142 * * [simplify]: Extracting #6: cost 69 inf + 16537 14.157 * * [simplify]: Extracting #7: cost 2 inf + 58558 14.174 * * [simplify]: Extracting #8: cost 0 inf + 59911 14.192 * * [simplify]: Extracting #9: cost 0 inf + 59711 14.207 * [simplify]: Simplified to (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 14.207 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 14.207 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 14.207 * * [simplify]: iters left: 6 (16 enodes) 14.212 * * [simplify]: iters left: 5 (66 enodes) 14.223 * * [simplify]: iters left: 4 (106 enodes) 14.256 * * [simplify]: iters left: 3 (156 enodes) 14.303 * * [simplify]: iters left: 2 (230 enodes) 14.383 * * [simplify]: iters left: 1 (385 enodes) 14.547 * * [simplify]: Extracting #0: cost 1 inf + 0 14.548 * * [simplify]: Extracting #1: cost 7 inf + 0 14.548 * * [simplify]: Extracting #2: cost 13 inf + 1 14.548 * * [simplify]: Extracting #3: cost 39 inf + 1 14.549 * * [simplify]: Extracting #4: cost 111 inf + 288 14.550 * * [simplify]: Extracting #5: cost 135 inf + 1697 14.556 * * [simplify]: Extracting #6: cost 69 inf + 16537 14.575 * * [simplify]: Extracting #7: cost 2 inf + 58558 14.584 * * [simplify]: Extracting #8: cost 0 inf + 59911 14.593 * * [simplify]: Extracting #9: cost 0 inf + 59711 14.602 * [simplify]: Simplified to (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 14.602 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 14.602 * * * * [progress]: [ 141 / 188 ] simplifiying candidate # 14.603 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 14.603 * * [simplify]: iters left: 6 (16 enodes) 14.608 * * [simplify]: iters left: 5 (69 enodes) 14.631 * * [simplify]: iters left: 4 (113 enodes) 14.667 * * [simplify]: iters left: 3 (192 enodes) 14.708 * * [simplify]: iters left: 2 (378 enodes) 14.836 * * [simplify]: Extracting #0: cost 1 inf + 0 14.836 * * [simplify]: Extracting #1: cost 45 inf + 0 14.837 * * [simplify]: Extracting #2: cost 112 inf + 1 14.837 * * [simplify]: Extracting #3: cost 167 inf + 3 14.838 * * [simplify]: Extracting #4: cost 176 inf + 259 14.839 * * [simplify]: Extracting #5: cost 141 inf + 5103 14.843 * * [simplify]: Extracting #6: cost 76 inf + 19730 14.861 * * [simplify]: Extracting #7: cost 10 inf + 66527 14.874 * * [simplify]: Extracting #8: cost 0 inf + 76629 14.886 * [simplify]: Simplified to (/ (pow (* (* n 2) PI) (* 1/4 (- 1 k))) (sqrt (sqrt k))) 14.886 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* n 2) PI) (* 1/4 (- 1 k))) (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))) 14.886 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 14.886 * * [simplify]: iters left: 6 (16 enodes) 14.891 * * [simplify]: iters left: 5 (69 enodes) 14.913 * * [simplify]: iters left: 4 (113 enodes) 14.952 * * [simplify]: iters left: 3 (192 enodes) 15.026 * * [simplify]: iters left: 2 (378 enodes) 15.171 * * [simplify]: Extracting #0: cost 1 inf + 0 15.171 * * [simplify]: Extracting #1: cost 45 inf + 0 15.172 * * [simplify]: Extracting #2: cost 112 inf + 1 15.172 * * [simplify]: Extracting #3: cost 167 inf + 3 15.173 * * [simplify]: Extracting #4: cost 176 inf + 259 15.175 * * [simplify]: Extracting #5: cost 141 inf + 5103 15.178 * * [simplify]: Extracting #6: cost 76 inf + 19730 15.195 * * [simplify]: Extracting #7: cost 10 inf + 66527 15.219 * * [simplify]: Extracting #8: cost 0 inf + 76629 15.244 * [simplify]: Simplified to (/ (pow (* (* n 2) PI) (* 1/4 (- 1 k))) (sqrt (sqrt k))) 15.244 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (/ (pow (* (* n 2) PI) (* 1/4 (- 1 k))) (sqrt (sqrt k))))) 15.244 * * * * [progress]: [ 142 / 188 ] simplifiying candidate # 15.245 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 15.245 * * [simplify]: iters left: 6 (15 enodes) 15.253 * * [simplify]: iters left: 5 (63 enodes) 15.265 * * [simplify]: iters left: 4 (97 enodes) 15.281 * * [simplify]: iters left: 3 (152 enodes) 15.326 * * [simplify]: iters left: 2 (244 enodes) 15.378 * * [simplify]: iters left: 1 (400 enodes) 15.512 * * [simplify]: Extracting #0: cost 1 inf + 0 15.512 * * [simplify]: Extracting #1: cost 7 inf + 0 15.513 * * [simplify]: Extracting #2: cost 13 inf + 1 15.513 * * [simplify]: Extracting #3: cost 39 inf + 1 15.513 * * [simplify]: Extracting #4: cost 113 inf + 3 15.515 * * [simplify]: Extracting #5: cost 147 inf + 1541 15.520 * * [simplify]: Extracting #6: cost 70 inf + 15032 15.533 * * [simplify]: Extracting #7: cost 17 inf + 41663 15.550 * * [simplify]: Extracting #8: cost 0 inf + 55513 15.567 * * [simplify]: Extracting #9: cost 0 inf + 55313 15.585 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))) 15.585 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 15.585 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 15.585 * * [simplify]: iters left: 6 (15 enodes) 15.594 * * [simplify]: iters left: 5 (63 enodes) 15.613 * * [simplify]: iters left: 4 (97 enodes) 15.648 * * [simplify]: iters left: 3 (152 enodes) 15.701 * * [simplify]: iters left: 2 (244 enodes) 15.770 * * [simplify]: iters left: 1 (400 enodes) 15.897 * * [simplify]: Extracting #0: cost 1 inf + 0 15.898 * * [simplify]: Extracting #1: cost 7 inf + 0 15.898 * * [simplify]: Extracting #2: cost 13 inf + 1 15.898 * * [simplify]: Extracting #3: cost 39 inf + 1 15.898 * * [simplify]: Extracting #4: cost 113 inf + 3 15.899 * * [simplify]: Extracting #5: cost 147 inf + 1541 15.902 * * [simplify]: Extracting #6: cost 70 inf + 15032 15.908 * * [simplify]: Extracting #7: cost 17 inf + 41663 15.916 * * [simplify]: Extracting #8: cost 0 inf + 55513 15.925 * * [simplify]: Extracting #9: cost 0 inf + 55313 15.943 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))) 15.943 * [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))))) 15.943 * * * * [progress]: [ 143 / 188 ] simplifiying candidate # 15.943 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 15.944 * * [simplify]: iters left: 6 (15 enodes) 15.955 * * [simplify]: iters left: 5 (66 enodes) 15.966 * * [simplify]: iters left: 4 (109 enodes) 15.991 * * [simplify]: iters left: 3 (192 enodes) 16.051 * * [simplify]: iters left: 2 (371 enodes) 16.206 * * [simplify]: Extracting #0: cost 1 inf + 0 16.206 * * [simplify]: Extracting #1: cost 40 inf + 0 16.206 * * [simplify]: Extracting #2: cost 127 inf + 1 16.207 * * [simplify]: Extracting #3: cost 186 inf + 3 16.208 * * [simplify]: Extracting #4: cost 180 inf + 1500 16.211 * * [simplify]: Extracting #5: cost 115 inf + 12508 16.221 * * [simplify]: Extracting #6: cost 18 inf + 70745 16.240 * * [simplify]: Extracting #7: cost 0 inf + 85905 16.264 * [simplify]: Simplified to (/ (pow (* (* PI n) 2) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 16.264 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI n) 2) (- 1/4 (/ k 4))) (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))) 16.264 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 16.264 * * [simplify]: iters left: 6 (15 enodes) 16.269 * * [simplify]: iters left: 5 (66 enodes) 16.281 * * [simplify]: iters left: 4 (109 enodes) 16.301 * * [simplify]: iters left: 3 (192 enodes) 16.358 * * [simplify]: iters left: 2 (371 enodes) 16.518 * * [simplify]: Extracting #0: cost 1 inf + 0 16.518 * * [simplify]: Extracting #1: cost 40 inf + 0 16.518 * * [simplify]: Extracting #2: cost 127 inf + 1 16.519 * * [simplify]: Extracting #3: cost 186 inf + 3 16.520 * * [simplify]: Extracting #4: cost 180 inf + 1500 16.522 * * [simplify]: Extracting #5: cost 115 inf + 12508 16.534 * * [simplify]: Extracting #6: cost 18 inf + 70745 16.551 * * [simplify]: Extracting #7: cost 0 inf + 85905 16.578 * [simplify]: Simplified to (/ (pow (* (* PI n) 2) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 16.578 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (/ (pow (* (* PI n) 2) (- 1/4 (/ k 4))) (sqrt (sqrt k))))) 16.578 * * * * [progress]: [ 144 / 188 ] simplifiying candidate # 16.578 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 16.578 * * [simplify]: iters left: 6 (15 enodes) 16.586 * * [simplify]: iters left: 5 (63 enodes) 16.608 * * [simplify]: iters left: 4 (97 enodes) 16.640 * * [simplify]: iters left: 3 (152 enodes) 16.691 * * [simplify]: iters left: 2 (244 enodes) 16.732 * * [simplify]: iters left: 1 (400 enodes) 16.862 * * [simplify]: Extracting #0: cost 1 inf + 0 16.862 * * [simplify]: Extracting #1: cost 7 inf + 0 16.862 * * [simplify]: Extracting #2: cost 13 inf + 1 16.862 * * [simplify]: Extracting #3: cost 39 inf + 1 16.862 * * [simplify]: Extracting #4: cost 113 inf + 3 16.863 * * [simplify]: Extracting #5: cost 147 inf + 1541 16.866 * * [simplify]: Extracting #6: cost 70 inf + 15032 16.875 * * [simplify]: Extracting #7: cost 17 inf + 41663 16.890 * * [simplify]: Extracting #8: cost 0 inf + 55513 16.900 * * [simplify]: Extracting #9: cost 0 inf + 55313 16.908 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))) 16.909 * [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)))))) 16.909 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 16.909 * * [simplify]: iters left: 6 (15 enodes) 16.913 * * [simplify]: iters left: 5 (63 enodes) 16.927 * * [simplify]: iters left: 4 (97 enodes) 16.962 * * [simplify]: iters left: 3 (152 enodes) 16.994 * * [simplify]: iters left: 2 (244 enodes) 17.052 * * [simplify]: iters left: 1 (400 enodes) 17.193 * * [simplify]: Extracting #0: cost 1 inf + 0 17.193 * * [simplify]: Extracting #1: cost 7 inf + 0 17.193 * * [simplify]: Extracting #2: cost 13 inf + 1 17.194 * * [simplify]: Extracting #3: cost 39 inf + 1 17.194 * * [simplify]: Extracting #4: cost 113 inf + 3 17.195 * * [simplify]: Extracting #5: cost 147 inf + 1541 17.198 * * [simplify]: Extracting #6: cost 70 inf + 15032 17.204 * * [simplify]: Extracting #7: cost 17 inf + 41663 17.221 * * [simplify]: Extracting #8: cost 0 inf + 55513 17.238 * * [simplify]: Extracting #9: cost 0 inf + 55313 17.256 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))) 17.256 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))))) 17.256 * * * * [progress]: [ 145 / 188 ] simplifiying candidate # 17.256 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 17.256 * * [simplify]: iters left: 6 (15 enodes) 17.261 * * [simplify]: iters left: 5 (66 enodes) 17.275 * * [simplify]: iters left: 4 (109 enodes) 17.302 * * [simplify]: iters left: 3 (192 enodes) 17.351 * * [simplify]: iters left: 2 (371 enodes) 17.502 * * [simplify]: Extracting #0: cost 1 inf + 0 17.503 * * [simplify]: Extracting #1: cost 40 inf + 0 17.503 * * [simplify]: Extracting #2: cost 127 inf + 1 17.505 * * [simplify]: Extracting #3: cost 186 inf + 3 17.506 * * [simplify]: Extracting #4: cost 180 inf + 1500 17.511 * * [simplify]: Extracting #5: cost 115 inf + 12508 17.528 * * [simplify]: Extracting #6: cost 18 inf + 70745 17.555 * * [simplify]: Extracting #7: cost 0 inf + 85905 17.585 * [simplify]: Simplified to (/ (pow (* (* PI n) 2) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 17.585 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI n) 2) (- 1/4 (/ k 4))) (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))) 17.586 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 17.586 * * [simplify]: iters left: 6 (15 enodes) 17.595 * * [simplify]: iters left: 5 (66 enodes) 17.614 * * [simplify]: iters left: 4 (109 enodes) 17.634 * * [simplify]: iters left: 3 (192 enodes) 17.711 * * [simplify]: iters left: 2 (371 enodes) 17.868 * * [simplify]: Extracting #0: cost 1 inf + 0 17.869 * * [simplify]: Extracting #1: cost 40 inf + 0 17.869 * * [simplify]: Extracting #2: cost 127 inf + 1 17.870 * * [simplify]: Extracting #3: cost 186 inf + 3 17.871 * * [simplify]: Extracting #4: cost 180 inf + 1500 17.873 * * [simplify]: Extracting #5: cost 115 inf + 12508 17.882 * * [simplify]: Extracting #6: cost 18 inf + 70745 17.908 * * [simplify]: Extracting #7: cost 0 inf + 85905 17.921 * [simplify]: Simplified to (/ (pow (* (* PI n) 2) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 17.921 * [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))))) 17.922 * * * * [progress]: [ 146 / 188 ] simplifiying candidate # 17.922 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 17.922 * * [simplify]: iters left: 5 (7 enodes) 17.925 * * [simplify]: iters left: 4 (32 enodes) 17.931 * * [simplify]: iters left: 3 (57 enodes) 17.941 * * [simplify]: iters left: 2 (88 enodes) 17.957 * * [simplify]: iters left: 1 (156 enodes) 18.015 * * [simplify]: Extracting #0: cost 1 inf + 0 18.015 * * [simplify]: Extracting #1: cost 13 inf + 0 18.015 * * [simplify]: Extracting #2: cost 49 inf + 2 18.016 * * [simplify]: Extracting #3: cost 80 inf + 6 18.017 * * [simplify]: Extracting #4: cost 58 inf + 1840 18.020 * * [simplify]: Extracting #5: cost 22 inf + 9206 18.023 * * [simplify]: Extracting #6: cost 1 inf + 20886 18.026 * * [simplify]: Extracting #7: cost 0 inf + 21301 18.029 * * [simplify]: Extracting #8: cost 0 inf + 21130 18.032 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 18.032 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 18.032 * * * * [progress]: [ 147 / 188 ] simplifiying candidate # 18.032 * [simplify]: Simplifying (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 18.032 * * [simplify]: iters left: 6 (11 enodes) 18.036 * * [simplify]: iters left: 5 (48 enodes) 18.044 * * [simplify]: iters left: 4 (77 enodes) 18.065 * * [simplify]: iters left: 3 (118 enodes) 18.096 * * [simplify]: iters left: 2 (206 enodes) 18.156 * * [simplify]: iters left: 1 (370 enodes) 18.334 * * [simplify]: Extracting #0: cost 1 inf + 0 18.334 * * [simplify]: Extracting #1: cost 3 inf + 0 18.335 * * [simplify]: Extracting #2: cost 27 inf + 0 18.335 * * [simplify]: Extracting #3: cost 102 inf + 1 18.335 * * [simplify]: Extracting #4: cost 162 inf + 134 18.336 * * [simplify]: Extracting #5: cost 156 inf + 519 18.338 * * [simplify]: Extracting #6: cost 94 inf + 9125 18.346 * * [simplify]: Extracting #7: cost 36 inf + 32718 18.366 * * [simplify]: Extracting #8: cost 2 inf + 60006 18.387 * * [simplify]: Extracting #9: cost 0 inf + 59623 18.409 * [simplify]: Simplified to (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) 18.409 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))))) 18.409 * * * * [progress]: [ 148 / 188 ] simplifiying candidate # 18.409 * [simplify]: Simplifying (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 18.409 * * [simplify]: iters left: 6 (11 enodes) 18.416 * * [simplify]: iters left: 5 (48 enodes) 18.433 * * [simplify]: iters left: 4 (78 enodes) 18.458 * * [simplify]: iters left: 3 (119 enodes) 18.485 * * [simplify]: iters left: 2 (210 enodes) 18.542 * * [simplify]: iters left: 1 (383 enodes) 18.714 * * [simplify]: Extracting #0: cost 1 inf + 0 18.714 * * [simplify]: Extracting #1: cost 4 inf + 0 18.714 * * [simplify]: Extracting #2: cost 28 inf + 0 18.715 * * [simplify]: Extracting #3: cost 110 inf + 1 18.716 * * [simplify]: Extracting #4: cost 152 inf + 178 18.718 * * [simplify]: Extracting #5: cost 142 inf + 935 18.721 * * [simplify]: Extracting #6: cost 87 inf + 7703 18.733 * * [simplify]: Extracting #7: cost 23 inf + 38047 18.750 * * [simplify]: Extracting #8: cost 1 inf + 56893 18.767 * * [simplify]: Extracting #9: cost 0 inf + 58062 18.784 * [simplify]: Simplified to (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 18.784 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 18.785 * * * * [progress]: [ 149 / 188 ] simplifiying candidate # 18.785 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ (- 1 k) 2)) 18.785 * * [simplify]: iters left: 5 (10 enodes) 18.792 * * [simplify]: iters left: 4 (45 enodes) 18.811 * * [simplify]: iters left: 3 (78 enodes) 18.836 * * [simplify]: iters left: 2 (118 enodes) 18.875 * * [simplify]: iters left: 1 (191 enodes) 18.943 * * [simplify]: Extracting #0: cost 1 inf + 0 18.943 * * [simplify]: Extracting #1: cost 13 inf + 0 18.943 * * [simplify]: Extracting #2: cost 59 inf + 1 18.944 * * [simplify]: Extracting #3: cost 91 inf + 7 18.945 * * [simplify]: Extracting #4: cost 83 inf + 556 18.948 * * [simplify]: Extracting #5: cost 33 inf + 11764 18.959 * * [simplify]: Extracting #6: cost 0 inf + 23469 18.968 * * [simplify]: Extracting #7: cost 0 inf + 23146 18.975 * [simplify]: Simplified to (pow (* (* 2 PI) n) (/ (- 1 k) 2)) 18.975 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) 1) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 18.975 * * * * [progress]: [ 150 / 188 ] simplifiying candidate # 18.975 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) 18.975 * * [simplify]: iters left: 6 (11 enodes) 18.979 * * [simplify]: iters left: 5 (51 enodes) 18.988 * * [simplify]: iters left: 4 (87 enodes) 19.004 * * [simplify]: iters left: 3 (143 enodes) 19.032 * * [simplify]: iters left: 2 (259 enodes) 19.114 * * [simplify]: iters left: 1 (469 enodes) 19.347 * * [simplify]: Extracting #0: cost 1 inf + 0 19.348 * * [simplify]: Extracting #1: cost 23 inf + 0 19.348 * * [simplify]: Extracting #2: cost 109 inf + 1 19.350 * * [simplify]: Extracting #3: cost 194 inf + 137 19.352 * * [simplify]: Extracting #4: cost 176 inf + 2344 19.365 * * [simplify]: Extracting #5: cost 80 inf + 17283 19.382 * * [simplify]: Extracting #6: cost 12 inf + 52046 19.403 * * [simplify]: Extracting #7: cost 0 inf + 61992 19.419 * [simplify]: Simplified to (pow (* (* 2 PI) n) (* 1/4 (- 1 k))) 19.419 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (* (* 2 PI) n) (* 1/4 (- 1 k))))) 19.419 * * * * [progress]: [ 151 / 188 ] simplifiying candidate # 19.419 * [simplify]: Simplifying (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) 19.419 * * [simplify]: iters left: 6 (6 enodes) 19.421 * * [simplify]: iters left: 5 (20 enodes) 19.425 * * [simplify]: iters left: 4 (22 enodes) 19.428 * * [simplify]: Extracting #0: cost 1 inf + 0 19.428 * * [simplify]: Extracting #1: cost 3 inf + 0 19.428 * * [simplify]: Extracting #2: cost 5 inf + 0 19.428 * * [simplify]: Extracting #3: cost 8 inf + 0 19.428 * * [simplify]: Extracting #4: cost 9 inf + 1 19.428 * * [simplify]: Extracting #5: cost 8 inf + 2 19.428 * * [simplify]: Extracting #6: cost 1 inf + 774 19.429 * * [simplify]: Extracting #7: cost 0 inf + 976 19.429 * [simplify]: Simplified to (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) 19.429 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (* (cbrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 19.429 * * * * [progress]: [ 152 / 188 ] simplifiying candidate # 19.429 * [simplify]: Simplifying (sqrt (/ 1 (sqrt k))) 19.429 * * [simplify]: iters left: 4 (5 enodes) 19.430 * * [simplify]: iters left: 3 (17 enodes) 19.433 * * [simplify]: iters left: 2 (19 enodes) 19.436 * * [simplify]: Extracting #0: cost 1 inf + 0 19.436 * * [simplify]: Extracting #1: cost 3 inf + 0 19.436 * * [simplify]: Extracting #2: cost 6 inf + 0 19.436 * * [simplify]: Extracting #3: cost 7 inf + 1 19.436 * * [simplify]: Extracting #4: cost 0 inf + 492 19.436 * [simplify]: Simplified to (sqrt (/ 1 (sqrt k))) 19.436 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 19.437 * * * * [progress]: [ 153 / 188 ] simplifiying candidate # 19.437 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 19.437 * * [simplify]: iters left: 6 (8 enodes) 19.439 * * [simplify]: iters left: 5 (32 enodes) 19.447 * * [simplify]: iters left: 4 (48 enodes) 19.455 * * [simplify]: iters left: 3 (76 enodes) 19.467 * * [simplify]: iters left: 2 (81 enodes) 19.476 * * [simplify]: Extracting #0: cost 1 inf + 0 19.476 * * [simplify]: Extracting #1: cost 6 inf + 0 19.476 * * [simplify]: Extracting #2: cost 9 inf + 1 19.476 * * [simplify]: Extracting #3: cost 11 inf + 1 19.476 * * [simplify]: Extracting #4: cost 2 inf + 1052 19.476 * * [simplify]: Extracting #5: cost 0 inf + 1376 19.477 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 19.477 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ (cbrt 1) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 19.477 * * * * [progress]: [ 154 / 188 ] simplifiying candidate # 19.477 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) 19.477 * * [simplify]: iters left: 6 (8 enodes) 19.483 * * [simplify]: iters left: 5 (29 enodes) 19.492 * * [simplify]: iters left: 4 (31 enodes) 19.500 * * [simplify]: Extracting #0: cost 1 inf + 0 19.500 * * [simplify]: Extracting #1: cost 4 inf + 0 19.500 * * [simplify]: Extracting #2: cost 6 inf + 1 19.500 * * [simplify]: Extracting #3: cost 9 inf + 1 19.500 * * [simplify]: Extracting #4: cost 8 inf + 2 19.501 * * [simplify]: Extracting #5: cost 2 inf + 729 19.501 * * [simplify]: Extracting #6: cost 0 inf + 972 19.501 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 19.501 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (* (/ (cbrt 1) (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 19.501 * * * * [progress]: [ 155 / 188 ] simplifiying candidate # 19.502 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 19.502 * * [simplify]: iters left: 5 (7 enodes) 19.507 * * [simplify]: iters left: 4 (25 enodes) 19.515 * * [simplify]: iters left: 3 (27 enodes) 19.523 * * [simplify]: Extracting #0: cost 1 inf + 0 19.523 * * [simplify]: Extracting #1: cost 4 inf + 0 19.523 * * [simplify]: Extracting #2: cost 5 inf + 1 19.523 * * [simplify]: Extracting #3: cost 7 inf + 1 19.523 * * [simplify]: Extracting #4: cost 6 inf + 2 19.523 * * [simplify]: Extracting #5: cost 2 inf + 368 19.523 * * [simplify]: Extracting #6: cost 0 inf + 490 19.523 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 19.524 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ (cbrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 19.524 * * * * [progress]: [ 156 / 188 ] simplifiying candidate # 19.524 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) 19.524 * * [simplify]: iters left: 5 (5 enodes) 19.533 * * [simplify]: iters left: 4 (19 enodes) 19.538 * * [simplify]: iters left: 3 (21 enodes) 19.543 * * [simplify]: Extracting #0: cost 1 inf + 0 19.543 * * [simplify]: Extracting #1: cost 0 inf + 1 19.543 * [simplify]: Simplified to 1 19.543 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (* (/ (cbrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 19.543 * * * * [progress]: [ 157 / 188 ] simplifiying candidate # 19.543 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 19.543 * * [simplify]: iters left: 5 (7 enodes) 19.548 * * [simplify]: iters left: 4 (25 enodes) 19.556 * * [simplify]: iters left: 3 (27 enodes) 19.564 * * [simplify]: Extracting #0: cost 1 inf + 0 19.564 * * [simplify]: Extracting #1: cost 4 inf + 0 19.564 * * [simplify]: Extracting #2: cost 5 inf + 1 19.564 * * [simplify]: Extracting #3: cost 7 inf + 1 19.564 * * [simplify]: Extracting #4: cost 6 inf + 2 19.564 * * [simplify]: Extracting #5: cost 2 inf + 368 19.564 * * [simplify]: Extracting #6: cost 0 inf + 490 19.565 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 19.565 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ (cbrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 19.565 * * * * [progress]: [ 158 / 188 ] simplifiying candidate # 19.565 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) 1) 19.565 * * [simplify]: iters left: 5 (4 enodes) 19.573 * * [simplify]: iters left: 4 (14 enodes) 19.576 * * [simplify]: iters left: 3 (16 enodes) 19.579 * * [simplify]: Extracting #0: cost 1 inf + 0 19.579 * * [simplify]: Extracting #1: cost 0 inf + 1 19.579 * [simplify]: Simplified to 1 19.579 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (* (/ (cbrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 19.580 * * * * [progress]: [ 159 / 188 ] simplifiying candidate # 19.580 * [simplify]: Simplifying (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 19.580 * * [simplify]: iters left: 6 (7 enodes) 19.585 * * [simplify]: iters left: 5 (25 enodes) 19.592 * * [simplify]: iters left: 4 (32 enodes) 19.601 * * [simplify]: iters left: 3 (34 enodes) 19.610 * * [simplify]: Extracting #0: cost 1 inf + 0 19.610 * * [simplify]: Extracting #1: cost 7 inf + 0 19.610 * * [simplify]: Extracting #2: cost 11 inf + 1 19.610 * * [simplify]: Extracting #3: cost 13 inf + 1 19.610 * * [simplify]: Extracting #4: cost 10 inf + 84 19.611 * * [simplify]: Extracting #5: cost 4 inf + 1014 19.611 * * [simplify]: Extracting #6: cost 1 inf + 1498 19.612 * * [simplify]: Extracting #7: cost 0 inf + 1700 19.612 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 19.612 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (* (/ (sqrt 1) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 19.612 * * * * [progress]: [ 160 / 188 ] simplifiying candidate # 19.613 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) 19.613 * * [simplify]: iters left: 6 (7 enodes) 19.617 * * [simplify]: iters left: 5 (24 enodes) 19.625 * * [simplify]: iters left: 4 (26 enodes) 19.630 * * [simplify]: Extracting #0: cost 1 inf + 0 19.630 * * [simplify]: Extracting #1: cost 4 inf + 0 19.631 * * [simplify]: Extracting #2: cost 6 inf + 1 19.631 * * [simplify]: Extracting #3: cost 9 inf + 1 19.631 * * [simplify]: Extracting #4: cost 8 inf + 2 19.631 * * [simplify]: Extracting #5: cost 2 inf + 730 19.631 * * [simplify]: Extracting #6: cost 0 inf + 972 19.631 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 19.631 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (* (/ (sqrt 1) (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 19.631 * * * * [progress]: [ 161 / 188 ] simplifiying candidate # 19.631 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 19.631 * * [simplify]: iters left: 4 (6 enodes) 19.633 * * [simplify]: iters left: 3 (20 enodes) 19.636 * * [simplify]: iters left: 2 (22 enodes) 19.640 * * [simplify]: Extracting #0: cost 1 inf + 0 19.640 * * [simplify]: Extracting #1: cost 4 inf + 0 19.640 * * [simplify]: Extracting #2: cost 5 inf + 1 19.640 * * [simplify]: Extracting #3: cost 7 inf + 1 19.640 * * [simplify]: Extracting #4: cost 1 inf + 368 19.640 * * [simplify]: Extracting #5: cost 0 inf + 490 19.640 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 19.640 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 19.640 * * * * [progress]: [ 162 / 188 ] simplifiying candidate # 19.640 * [simplify]: Simplifying (/ (sqrt 1) (sqrt 1)) 19.640 * * [simplify]: iters left: 3 (3 enodes) 19.642 * * [simplify]: iters left: 2 (9 enodes) 19.644 * * [simplify]: iters left: 1 (11 enodes) 19.645 * * [simplify]: Extracting #0: cost 1 inf + 0 19.645 * * [simplify]: Extracting #1: cost 0 inf + 1 19.645 * [simplify]: Simplified to 1 19.645 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (* (/ (sqrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 19.645 * * * * [progress]: [ 163 / 188 ] simplifiying candidate # 19.646 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 19.646 * * [simplify]: iters left: 4 (6 enodes) 19.648 * * [simplify]: iters left: 3 (20 enodes) 19.650 * * [simplify]: iters left: 2 (22 enodes) 19.654 * * [simplify]: Extracting #0: cost 1 inf + 0 19.654 * * [simplify]: Extracting #1: cost 4 inf + 0 19.654 * * [simplify]: Extracting #2: cost 5 inf + 1 19.654 * * [simplify]: Extracting #3: cost 7 inf + 1 19.654 * * [simplify]: Extracting #4: cost 1 inf + 368 19.654 * * [simplify]: Extracting #5: cost 0 inf + 490 19.654 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 19.654 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 19.654 * * * * [progress]: [ 164 / 188 ] simplifiying candidate # 19.654 * [simplify]: Simplifying (/ (sqrt 1) 1) 19.654 * * [simplify]: iters left: 3 (3 enodes) 19.656 * * [simplify]: iters left: 2 (9 enodes) 19.659 * * [simplify]: iters left: 1 (11 enodes) 19.662 * * [simplify]: Extracting #0: cost 1 inf + 0 19.662 * * [simplify]: Extracting #1: cost 0 inf + 1 19.662 * [simplify]: Simplified to 1 19.662 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (* (/ (sqrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 19.662 * * * * [progress]: [ 165 / 188 ] simplifiying candidate # 19.662 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 19.662 * * [simplify]: iters left: 6 (6 enodes) 19.665 * * [simplify]: iters left: 5 (22 enodes) 19.672 * * [simplify]: iters left: 4 (26 enodes) 19.680 * * [simplify]: Extracting #0: cost 1 inf + 0 19.680 * * [simplify]: Extracting #1: cost 6 inf + 0 19.680 * * [simplify]: Extracting #2: cost 9 inf + 1 19.680 * * [simplify]: Extracting #3: cost 11 inf + 1 19.680 * * [simplify]: Extracting #4: cost 8 inf + 84 19.680 * * [simplify]: Extracting #5: cost 2 inf + 1013 19.681 * * [simplify]: Extracting #6: cost 0 inf + 1376 19.681 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 19.681 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ 1 (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 19.681 * * * * [progress]: [ 166 / 188 ] simplifiying candidate # 19.682 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt k) (cbrt k)))) 19.682 * * [simplify]: iters left: 6 (6 enodes) 19.685 * * [simplify]: iters left: 5 (21 enodes) 19.690 * * [simplify]: iters left: 4 (23 enodes) 19.694 * * [simplify]: Extracting #0: cost 1 inf + 0 19.694 * * [simplify]: Extracting #1: cost 4 inf + 0 19.694 * * [simplify]: Extracting #2: cost 6 inf + 1 19.694 * * [simplify]: Extracting #3: cost 9 inf + 1 19.694 * * [simplify]: Extracting #4: cost 8 inf + 2 19.694 * * [simplify]: Extracting #5: cost 1 inf + 810 19.694 * * [simplify]: Extracting #6: cost 0 inf + 972 19.694 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 19.694 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (* (/ 1 (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 19.694 * * * * [progress]: [ 167 / 188 ] simplifiying candidate # 19.694 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 19.694 * * [simplify]: iters left: 4 (5 enodes) 19.696 * * [simplify]: iters left: 3 (17 enodes) 19.698 * * [simplify]: iters left: 2 (19 enodes) 19.701 * * [simplify]: Extracting #0: cost 1 inf + 0 19.701 * * [simplify]: Extracting #1: cost 4 inf + 0 19.701 * * [simplify]: Extracting #2: cost 5 inf + 1 19.701 * * [simplify]: Extracting #3: cost 7 inf + 1 19.701 * * [simplify]: Extracting #4: cost 0 inf + 490 19.702 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 19.702 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 19.702 * * * * [progress]: [ 168 / 188 ] simplifiying candidate # 19.702 * [simplify]: Simplifying (/ 1 (sqrt 1)) 19.702 * * [simplify]: iters left: 3 (3 enodes) 19.705 * * [simplify]: iters left: 2 (11 enodes) 19.707 * * [simplify]: iters left: 1 (13 enodes) 19.709 * * [simplify]: Extracting #0: cost 1 inf + 0 19.709 * * [simplify]: Extracting #1: cost 0 inf + 1 19.709 * [simplify]: Simplified to 1 19.709 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 19.709 * * * * [progress]: [ 169 / 188 ] simplifiying candidate # 19.709 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 19.709 * * [simplify]: iters left: 4 (5 enodes) 19.710 * * [simplify]: iters left: 3 (17 enodes) 19.713 * * [simplify]: iters left: 2 (19 enodes) 19.716 * * [simplify]: Extracting #0: cost 1 inf + 0 19.716 * * [simplify]: Extracting #1: cost 4 inf + 0 19.716 * * [simplify]: Extracting #2: cost 5 inf + 1 19.716 * * [simplify]: Extracting #3: cost 7 inf + 1 19.716 * * [simplify]: Extracting #4: cost 0 inf + 490 19.716 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 19.716 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 19.717 * * * * [progress]: [ 170 / 188 ] simplifiying candidate # 19.717 * [simplify]: Simplifying (/ 1 1) 19.717 * * [simplify]: iters left: 2 (2 enodes) 19.718 * * [simplify]: iters left: 1 (6 enodes) 19.721 * * [simplify]: Extracting #0: cost 1 inf + 0 19.721 * * [simplify]: Extracting #1: cost 0 inf + 1 19.721 * [simplify]: Simplified to 1 19.721 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 19.721 * * * * [progress]: [ 171 / 188 ] simplifiying candidate # 19.721 * * * * [progress]: [ 172 / 188 ] simplifiying candidate # 19.721 * * * * [progress]: [ 173 / 188 ] simplifiying candidate # 19.721 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ k 2)) 19.721 * * [simplify]: iters left: 5 (8 enodes) 19.725 * * [simplify]: iters left: 4 (31 enodes) 19.735 * * [simplify]: iters left: 3 (51 enodes) 19.753 * * [simplify]: iters left: 2 (85 enodes) 19.768 * * [simplify]: iters left: 1 (152 enodes) 19.813 * * [simplify]: Extracting #0: cost 1 inf + 0 19.813 * * [simplify]: Extracting #1: cost 13 inf + 0 19.813 * * [simplify]: Extracting #2: cost 60 inf + 1 19.814 * * [simplify]: Extracting #3: cost 76 inf + 51 19.815 * * [simplify]: Extracting #4: cost 44 inf + 2846 19.817 * * [simplify]: Extracting #5: cost 21 inf + 7590 19.823 * * [simplify]: Extracting #6: cost 1 inf + 20687 19.828 * * [simplify]: Extracting #7: cost 0 inf + 20539 19.833 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 19.833 * [simplify]: Simplified (2 2) to (λ (k n) (/ (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ 1 2))) (pow (* (* n 2) PI) (/ k 2)))) 19.834 * * * * [progress]: [ 174 / 188 ] simplifiying candidate # 19.834 * [simplify]: Simplifying (* 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 19.834 * * [simplify]: iters left: 6 (11 enodes) 19.841 * * [simplify]: iters left: 5 (47 enodes) 19.859 * * [simplify]: iters left: 4 (82 enodes) 19.890 * * [simplify]: iters left: 3 (126 enodes) 19.934 * * [simplify]: iters left: 2 (214 enodes) 20.008 * * [simplify]: iters left: 1 (360 enodes) 20.166 * * [simplify]: Extracting #0: cost 1 inf + 0 20.166 * * [simplify]: Extracting #1: cost 19 inf + 0 20.166 * * [simplify]: Extracting #2: cost 84 inf + 2 20.167 * * [simplify]: Extracting #3: cost 140 inf + 50 20.167 * * [simplify]: Extracting #4: cost 152 inf + 350 20.168 * * [simplify]: Extracting #5: cost 121 inf + 2516 20.170 * * [simplify]: Extracting #6: cost 59 inf + 11721 20.176 * * [simplify]: Extracting #7: cost 15 inf + 36647 20.184 * * [simplify]: Extracting #8: cost 0 inf + 48718 20.196 * * [simplify]: Extracting #9: cost 0 inf + 48296 20.212 * [simplify]: Simplified to (pow (* (* n PI) 2) (/ (- 1 k) 2)) 20.212 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (* (* n PI) 2) (/ (- 1 k) 2)) (sqrt k))) 20.212 * * * * [progress]: [ 175 / 188 ] simplifiying candidate #real (real->posit16 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))> 20.212 * * * * [progress]: [ 176 / 188 ] simplifiying candidate # 20.212 * * * * [progress]: [ 177 / 188 ] simplifiying candidate # 20.213 * [simplify]: Simplifying (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))))) 20.213 * * [simplify]: iters left: 6 (37 enodes) 20.232 * * [simplify]: iters left: 5 (187 enodes) 20.275 * * [simplify]: iters left: 4 (488 enodes) 20.509 * * [simplify]: Extracting #0: cost 1 inf + 0 20.509 * * [simplify]: Extracting #1: cost 57 inf + 0 20.510 * * [simplify]: Extracting #2: cost 294 inf + 0 20.512 * * [simplify]: Extracting #3: cost 524 inf + 199 20.515 * * [simplify]: Extracting #4: cost 512 inf + 6095 20.526 * * [simplify]: Extracting #5: cost 310 inf + 78036 20.579 * * [simplify]: Extracting #6: cost 40 inf + 220622 20.678 * * [simplify]: Extracting #7: cost 0 inf + 244981 20.730 * * [simplify]: Extracting #8: cost 0 inf + 243455 20.798 * * [simplify]: Extracting #9: cost 0 inf + 243454 20.869 * [simplify]: Simplified to (+ (* (* (* k k) 1/8) (+ (* (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (log (* PI 2))) (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) (+ (exp (* (+ (log n) (log (* PI 2))) 1/2)) (- (* (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (* k k) (* (log n) 1/4))) (* (* 1/2 k) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (+ (log n) (log (* PI 2)))))))) 20.869 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (+ (* (* (* k k) 1/8) (+ (* (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (log (* PI 2))) (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) (+ (exp (* (+ (log n) (log (* PI 2))) 1/2)) (- (* (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (* k k) (* (log n) 1/4))) (* (* 1/2 k) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (+ (log n) (log (* PI 2)))))))))) 20.869 * * * * [progress]: [ 178 / 188 ] simplifiying candidate # 20.870 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 20.870 * * [simplify]: iters left: 6 (15 enodes) 20.881 * * [simplify]: iters left: 5 (65 enodes) 20.897 * * [simplify]: iters left: 4 (123 enodes) 20.924 * * [simplify]: iters left: 3 (361 enodes) 21.122 * * [simplify]: Extracting #0: cost 1 inf + 0 21.122 * * [simplify]: Extracting #1: cost 37 inf + 0 21.122 * * [simplify]: Extracting #2: cost 213 inf + 72 21.124 * * [simplify]: Extracting #3: cost 350 inf + 1716 21.128 * * [simplify]: Extracting #4: cost 221 inf + 30028 21.140 * * [simplify]: Extracting #5: cost 33 inf + 78046 21.166 * * [simplify]: Extracting #6: cost 1 inf + 88785 21.197 * * [simplify]: Extracting #7: cost 0 inf + 88926 21.232 * * [simplify]: Extracting #8: cost 0 inf + 88841 21.262 * [simplify]: Simplified to (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) 21.263 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))))) 21.263 * * * * [progress]: [ 179 / 188 ] simplifiying candidate # 21.263 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 21.263 * * [simplify]: iters left: 6 (16 enodes) 21.273 * * [simplify]: iters left: 5 (67 enodes) 21.298 * * [simplify]: iters left: 4 (134 enodes) 21.351 * * [simplify]: iters left: 3 (407 enodes) 21.545 * * [simplify]: Extracting #0: cost 1 inf + 0 21.545 * * [simplify]: Extracting #1: cost 39 inf + 0 21.546 * * [simplify]: Extracting #2: cost 241 inf + 72 21.549 * * [simplify]: Extracting #3: cost 449 inf + 888 21.555 * * [simplify]: Extracting #4: cost 283 inf + 39678 21.574 * * [simplify]: Extracting #5: cost 24 inf + 116942 21.605 * * [simplify]: Extracting #6: cost 0 inf + 121984 21.643 * * [simplify]: Extracting #7: cost 0 inf + 121983 21.665 * [simplify]: Simplified to (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) 21.665 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))))) 21.666 * * * * [progress]: [ 180 / 188 ] simplifiying candidate # 21.666 * [simplify]: Simplifying (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 21.666 * [simplify]: Simplified (2 1) to (λ (k n) (* +nan.0 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 21.666 * * * * [progress]: [ 181 / 188 ] simplifiying candidate # 21.666 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 21.666 * [simplify]: Simplified (2 1) to (λ (k n) (* +nan.0 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 21.666 * * * * [progress]: [ 182 / 188 ] simplifiying candidate # 21.666 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 21.666 * [simplify]: Simplified (2 1) to (λ (k n) (* +nan.0 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 21.666 * * * * [progress]: [ 183 / 188 ] simplifiying candidate # 21.666 * [simplify]: Simplifying (* 2 (* n PI)) 21.667 * * [simplify]: iters left: 4 (5 enodes) 21.668 * * [simplify]: iters left: 3 (19 enodes) 21.671 * * [simplify]: iters left: 2 (27 enodes) 21.678 * * [simplify]: iters left: 1 (32 enodes) 21.686 * * [simplify]: Extracting #0: cost 1 inf + 0 21.686 * * [simplify]: Extracting #1: cost 8 inf + 0 21.686 * * [simplify]: Extracting #2: cost 7 inf + 45 21.687 * * [simplify]: Extracting #3: cost 0 inf + 421 21.687 * [simplify]: Simplified to (* (* PI n) 2) 21.687 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))) 21.687 * * * * [progress]: [ 184 / 188 ] simplifiying candidate # 21.687 * [simplify]: Simplifying (* 2 (* n PI)) 21.687 * * [simplify]: iters left: 4 (5 enodes) 21.690 * * [simplify]: iters left: 3 (19 enodes) 21.696 * * [simplify]: iters left: 2 (27 enodes) 21.702 * * [simplify]: iters left: 1 (32 enodes) 21.707 * * [simplify]: Extracting #0: cost 1 inf + 0 21.707 * * [simplify]: Extracting #1: cost 8 inf + 0 21.707 * * [simplify]: Extracting #2: cost 7 inf + 45 21.707 * * [simplify]: Extracting #3: cost 0 inf + 421 21.707 * [simplify]: Simplified to (* (* PI n) 2) 21.707 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))) 21.707 * * * * [progress]: [ 185 / 188 ] simplifiying candidate # 21.707 * [simplify]: Simplifying (* 2 (* n PI)) 21.707 * * [simplify]: iters left: 4 (5 enodes) 21.709 * * [simplify]: iters left: 3 (19 enodes) 21.712 * * [simplify]: iters left: 2 (27 enodes) 21.716 * * [simplify]: iters left: 1 (32 enodes) 21.720 * * [simplify]: Extracting #0: cost 1 inf + 0 21.720 * * [simplify]: Extracting #1: cost 8 inf + 0 21.720 * * [simplify]: Extracting #2: cost 7 inf + 45 21.721 * * [simplify]: Extracting #3: cost 0 inf + 421 21.721 * [simplify]: Simplified to (* (* PI n) 2) 21.721 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))) 21.721 * * * * [progress]: [ 186 / 188 ] simplifiying candidate # 21.721 * [simplify]: Simplifying (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))) 21.721 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 21.721 * * * * [progress]: [ 187 / 188 ] simplifiying candidate # 21.721 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3)))))))) 21.721 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 21.721 * * * * [progress]: [ 188 / 188 ] simplifiying candidate # 21.722 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))))))) 21.722 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 21.722 * * * [progress]: adding candidates to table 23.775 * * [progress]: iteration 2 / 4 23.775 * * * [progress]: picking best candidate 23.809 * * * * [pick]: Picked # 23.809 * * * [progress]: localizing error 23.866 * * * [progress]: generating rewritten candidates 23.866 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 23.875 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 23.891 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 23.907 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 23.933 * * * [progress]: generating series expansions 23.933 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 23.933 * [backup-simplify]: Simplify (pow n (/ (- 1 k) 2)) into (pow n (* 1/2 (- 1 k))) 23.933 * [approximate]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in (n k) around 0 23.933 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in k 23.933 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in k 23.933 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in k 23.933 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 23.933 * [taylor]: Taking taylor expansion of 1/2 in k 23.933 * [backup-simplify]: Simplify 1/2 into 1/2 23.933 * [taylor]: Taking taylor expansion of (- 1 k) in k 23.933 * [taylor]: Taking taylor expansion of 1 in k 23.933 * [backup-simplify]: Simplify 1 into 1 23.933 * [taylor]: Taking taylor expansion of k in k 23.933 * [backup-simplify]: Simplify 0 into 0 23.933 * [backup-simplify]: Simplify 1 into 1 23.933 * [taylor]: Taking taylor expansion of (log n) in k 23.933 * [taylor]: Taking taylor expansion of n in k 23.933 * [backup-simplify]: Simplify n into n 23.933 * [backup-simplify]: Simplify (log n) into (log n) 23.934 * [backup-simplify]: Simplify (- 0) into 0 23.934 * [backup-simplify]: Simplify (+ 1 0) into 1 23.934 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 23.934 * [backup-simplify]: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 23.934 * [backup-simplify]: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 23.934 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in n 23.934 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in n 23.934 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in n 23.934 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 23.934 * [taylor]: Taking taylor expansion of 1/2 in n 23.934 * [backup-simplify]: Simplify 1/2 into 1/2 23.934 * [taylor]: Taking taylor expansion of (- 1 k) in n 23.934 * [taylor]: Taking taylor expansion of 1 in n 23.934 * [backup-simplify]: Simplify 1 into 1 23.934 * [taylor]: Taking taylor expansion of k in n 23.935 * [backup-simplify]: Simplify k into k 23.935 * [taylor]: Taking taylor expansion of (log n) in n 23.935 * [taylor]: Taking taylor expansion of n in n 23.935 * [backup-simplify]: Simplify 0 into 0 23.935 * [backup-simplify]: Simplify 1 into 1 23.935 * [backup-simplify]: Simplify (log 1) into 0 23.935 * [backup-simplify]: Simplify (- k) into (- k) 23.935 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 23.935 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 23.935 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 23.935 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log n)) into (* 1/2 (* (- 1 k) (log n))) 23.935 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log n)))) into (exp (* 1/2 (* (- 1 k) (log n)))) 23.935 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in n 23.935 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in n 23.935 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in n 23.935 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 23.935 * [taylor]: Taking taylor expansion of 1/2 in n 23.935 * [backup-simplify]: Simplify 1/2 into 1/2 23.936 * [taylor]: Taking taylor expansion of (- 1 k) in n 23.936 * [taylor]: Taking taylor expansion of 1 in n 23.936 * [backup-simplify]: Simplify 1 into 1 23.936 * [taylor]: Taking taylor expansion of k in n 23.936 * [backup-simplify]: Simplify k into k 23.936 * [taylor]: Taking taylor expansion of (log n) in n 23.936 * [taylor]: Taking taylor expansion of n in n 23.936 * [backup-simplify]: Simplify 0 into 0 23.936 * [backup-simplify]: Simplify 1 into 1 23.936 * [backup-simplify]: Simplify (log 1) into 0 23.936 * [backup-simplify]: Simplify (- k) into (- k) 23.936 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 23.936 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 23.936 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 23.936 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log n)) into (* 1/2 (* (- 1 k) (log n))) 23.936 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log n)))) into (exp (* 1/2 (* (- 1 k) (log n)))) 23.937 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (log n)))) in k 23.937 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (log n))) in k 23.937 * [taylor]: Taking taylor expansion of 1/2 in k 23.937 * [backup-simplify]: Simplify 1/2 into 1/2 23.937 * [taylor]: Taking taylor expansion of (* (- 1 k) (log n)) in k 23.937 * [taylor]: Taking taylor expansion of (- 1 k) in k 23.937 * [taylor]: Taking taylor expansion of 1 in k 23.937 * [backup-simplify]: Simplify 1 into 1 23.937 * [taylor]: Taking taylor expansion of k in k 23.937 * [backup-simplify]: Simplify 0 into 0 23.937 * [backup-simplify]: Simplify 1 into 1 23.937 * [taylor]: Taking taylor expansion of (log n) in k 23.937 * [taylor]: Taking taylor expansion of n in k 23.937 * [backup-simplify]: Simplify n into n 23.937 * [backup-simplify]: Simplify (log n) into (log n) 23.937 * [backup-simplify]: Simplify (- 0) into 0 23.937 * [backup-simplify]: Simplify (+ 1 0) into 1 23.937 * [backup-simplify]: Simplify (* 1 (log n)) into (log n) 23.937 * [backup-simplify]: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 23.937 * [backup-simplify]: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 23.937 * [backup-simplify]: Simplify (pow n 1/2) into (pow n 1/2) 23.938 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 23.938 * [backup-simplify]: Simplify (- 0) into 0 23.939 * [backup-simplify]: Simplify (+ 0 0) into 0 23.939 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 23.939 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 23.939 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (log n))) into 0 23.940 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 23.940 * [taylor]: Taking taylor expansion of 0 in k 23.940 * [backup-simplify]: Simplify 0 into 0 23.940 * [backup-simplify]: Simplify 0 into 0 23.940 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 23.941 * [backup-simplify]: Simplify (- 1) into -1 23.941 * [backup-simplify]: Simplify (+ 0 -1) into -1 23.941 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (log n))) into (- (log n)) 23.941 * [backup-simplify]: Simplify (+ (* 1/2 (- (log n))) (* 0 (log n))) into (- (* 1/2 (log n))) 23.942 * [backup-simplify]: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 23.942 * [backup-simplify]: Simplify (* -1/2 (* (sqrt n) (log n))) into (* -1/2 (* (sqrt n) (log n))) 23.943 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 23.943 * [backup-simplify]: Simplify (- 0) into 0 23.944 * [backup-simplify]: Simplify (+ 0 0) into 0 23.944 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 23.945 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 23.945 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 23.946 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 23.946 * [taylor]: Taking taylor expansion of 0 in k 23.946 * [backup-simplify]: Simplify 0 into 0 23.946 * [backup-simplify]: Simplify 0 into 0 23.946 * [backup-simplify]: Simplify 0 into 0 23.947 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 23.947 * [backup-simplify]: Simplify (- 0) into 0 23.948 * [backup-simplify]: Simplify (+ 0 0) into 0 23.948 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (log n)))) into 0 23.949 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (log n))) (* 0 (log n)))) into 0 23.950 * [backup-simplify]: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 23.950 * [backup-simplify]: Simplify (* 1/8 (* (sqrt n) (pow (log n) 2))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 23.951 * [backup-simplify]: Simplify (+ (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -1/2 (* (sqrt n) (log n))) (* k 1)) (pow n 1/2))) into (- (+ (pow n 1/2) (* 1/8 (* (sqrt n) (* (pow (log n) 2) (pow k 2))))) (* 1/2 (* (sqrt n) (* (log n) k)))) 23.951 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (- 1 (/ 1 k)) 2)) into (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) 23.951 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 23.951 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in k 23.951 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in k 23.951 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in k 23.951 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 23.951 * [taylor]: Taking taylor expansion of 1/2 in k 23.951 * [backup-simplify]: Simplify 1/2 into 1/2 23.951 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 23.951 * [taylor]: Taking taylor expansion of 1 in k 23.951 * [backup-simplify]: Simplify 1 into 1 23.951 * [taylor]: Taking taylor expansion of (/ 1 k) in k 23.951 * [taylor]: Taking taylor expansion of k in k 23.951 * [backup-simplify]: Simplify 0 into 0 23.951 * [backup-simplify]: Simplify 1 into 1 23.952 * [backup-simplify]: Simplify (/ 1 1) into 1 23.952 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 23.952 * [taylor]: Taking taylor expansion of (/ 1 n) in k 23.952 * [taylor]: Taking taylor expansion of n in k 23.952 * [backup-simplify]: Simplify n into n 23.952 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 23.952 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 23.952 * [backup-simplify]: Simplify (- 1) into -1 23.953 * [backup-simplify]: Simplify (+ 0 -1) into -1 23.953 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 23.953 * [backup-simplify]: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 23.953 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) 23.953 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in n 23.953 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in n 23.953 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in n 23.954 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 23.954 * [taylor]: Taking taylor expansion of 1/2 in n 23.954 * [backup-simplify]: Simplify 1/2 into 1/2 23.954 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 23.954 * [taylor]: Taking taylor expansion of 1 in n 23.954 * [backup-simplify]: Simplify 1 into 1 23.954 * [taylor]: Taking taylor expansion of (/ 1 k) in n 23.954 * [taylor]: Taking taylor expansion of k in n 23.954 * [backup-simplify]: Simplify k into k 23.954 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 23.954 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 23.954 * [taylor]: Taking taylor expansion of (/ 1 n) in n 23.954 * [taylor]: Taking taylor expansion of n in n 23.954 * [backup-simplify]: Simplify 0 into 0 23.954 * [backup-simplify]: Simplify 1 into 1 23.954 * [backup-simplify]: Simplify (/ 1 1) into 1 23.955 * [backup-simplify]: Simplify (log 1) into 0 23.955 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 23.955 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 23.955 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 23.955 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 23.955 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log n))) into (* -1/2 (* (- 1 (/ 1 k)) (log n))) 23.956 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 23.956 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in n 23.956 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in n 23.956 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in n 23.956 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 23.956 * [taylor]: Taking taylor expansion of 1/2 in n 23.956 * [backup-simplify]: Simplify 1/2 into 1/2 23.956 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 23.956 * [taylor]: Taking taylor expansion of 1 in n 23.956 * [backup-simplify]: Simplify 1 into 1 23.956 * [taylor]: Taking taylor expansion of (/ 1 k) in n 23.956 * [taylor]: Taking taylor expansion of k in n 23.956 * [backup-simplify]: Simplify k into k 23.956 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 23.956 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 23.956 * [taylor]: Taking taylor expansion of (/ 1 n) in n 23.956 * [taylor]: Taking taylor expansion of n in n 23.956 * [backup-simplify]: Simplify 0 into 0 23.956 * [backup-simplify]: Simplify 1 into 1 23.957 * [backup-simplify]: Simplify (/ 1 1) into 1 23.957 * [backup-simplify]: Simplify (log 1) into 0 23.957 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 23.957 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 23.957 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 23.958 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 23.958 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log n))) into (* -1/2 (* (- 1 (/ 1 k)) (log n))) 23.958 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 23.958 * [taylor]: Taking taylor expansion of (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) in k 23.958 * [taylor]: Taking taylor expansion of (* -1/2 (* (- 1 (/ 1 k)) (log n))) in k 23.958 * [taylor]: Taking taylor expansion of -1/2 in k 23.958 * [backup-simplify]: Simplify -1/2 into -1/2 23.958 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log n)) in k 23.958 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 23.958 * [taylor]: Taking taylor expansion of 1 in k 23.958 * [backup-simplify]: Simplify 1 into 1 23.958 * [taylor]: Taking taylor expansion of (/ 1 k) in k 23.958 * [taylor]: Taking taylor expansion of k in k 23.958 * [backup-simplify]: Simplify 0 into 0 23.958 * [backup-simplify]: Simplify 1 into 1 23.959 * [backup-simplify]: Simplify (/ 1 1) into 1 23.959 * [taylor]: Taking taylor expansion of (log n) in k 23.959 * [taylor]: Taking taylor expansion of n in k 23.959 * [backup-simplify]: Simplify n into n 23.959 * [backup-simplify]: Simplify (log n) into (log n) 23.959 * [backup-simplify]: Simplify (- 1) into -1 23.960 * [backup-simplify]: Simplify (+ 0 -1) into -1 23.960 * [backup-simplify]: Simplify (* -1 (log n)) into (* -1 (log n)) 23.960 * [backup-simplify]: Simplify (* -1/2 (* -1 (log n))) into (* 1/2 (log n)) 23.960 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 23.960 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 23.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 23.962 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 23.962 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 23.963 * [backup-simplify]: Simplify (- 0) into 0 23.963 * [backup-simplify]: Simplify (+ 0 0) into 0 23.964 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 23.964 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 23.964 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 23.965 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 23.965 * [taylor]: Taking taylor expansion of 0 in k 23.965 * [backup-simplify]: Simplify 0 into 0 23.965 * [backup-simplify]: Simplify 0 into 0 23.965 * [backup-simplify]: Simplify 0 into 0 23.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.969 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 23.969 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 23.969 * [backup-simplify]: Simplify (- 0) into 0 23.969 * [backup-simplify]: Simplify (+ 0 0) into 0 23.970 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 23.970 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 23.970 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 23.971 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 23.971 * [taylor]: Taking taylor expansion of 0 in k 23.971 * [backup-simplify]: Simplify 0 into 0 23.971 * [backup-simplify]: Simplify 0 into 0 23.971 * [backup-simplify]: Simplify 0 into 0 23.971 * [backup-simplify]: Simplify 0 into 0 23.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.975 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 23.975 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 23.975 * [backup-simplify]: Simplify (- 0) into 0 23.976 * [backup-simplify]: Simplify (+ 0 0) into 0 23.976 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 23.977 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 23.977 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 23.978 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 23.978 * [taylor]: Taking taylor expansion of 0 in k 23.978 * [backup-simplify]: Simplify 0 into 0 23.978 * [backup-simplify]: Simplify 0 into 0 23.978 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 (/ 1 k))) (log (/ 1 n))))) into (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) 23.978 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (- 1 (/ 1 (- k))) 2)) into (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) 23.978 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 23.978 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in k 23.978 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in k 23.979 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in k 23.979 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 23.979 * [taylor]: Taking taylor expansion of 1/2 in k 23.979 * [backup-simplify]: Simplify 1/2 into 1/2 23.979 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 23.979 * [taylor]: Taking taylor expansion of (/ 1 k) in k 23.979 * [taylor]: Taking taylor expansion of k in k 23.979 * [backup-simplify]: Simplify 0 into 0 23.979 * [backup-simplify]: Simplify 1 into 1 23.979 * [backup-simplify]: Simplify (/ 1 1) into 1 23.979 * [taylor]: Taking taylor expansion of 1 in k 23.979 * [backup-simplify]: Simplify 1 into 1 23.979 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 23.979 * [taylor]: Taking taylor expansion of (/ -1 n) in k 23.979 * [taylor]: Taking taylor expansion of -1 in k 23.979 * [backup-simplify]: Simplify -1 into -1 23.979 * [taylor]: Taking taylor expansion of n in k 23.979 * [backup-simplify]: Simplify n into n 23.979 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 23.979 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 23.979 * [backup-simplify]: Simplify (+ 1 0) into 1 23.980 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 23.980 * [backup-simplify]: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 23.980 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) 23.980 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in n 23.980 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in n 23.980 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in n 23.980 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 23.980 * [taylor]: Taking taylor expansion of 1/2 in n 23.980 * [backup-simplify]: Simplify 1/2 into 1/2 23.980 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 23.980 * [taylor]: Taking taylor expansion of (/ 1 k) in n 23.980 * [taylor]: Taking taylor expansion of k in n 23.980 * [backup-simplify]: Simplify k into k 23.980 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 23.980 * [taylor]: Taking taylor expansion of 1 in n 23.980 * [backup-simplify]: Simplify 1 into 1 23.980 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 23.980 * [taylor]: Taking taylor expansion of (/ -1 n) in n 23.980 * [taylor]: Taking taylor expansion of -1 in n 23.980 * [backup-simplify]: Simplify -1 into -1 23.980 * [taylor]: Taking taylor expansion of n in n 23.980 * [backup-simplify]: Simplify 0 into 0 23.980 * [backup-simplify]: Simplify 1 into 1 23.980 * [backup-simplify]: Simplify (/ -1 1) into -1 23.981 * [backup-simplify]: Simplify (log -1) into (log -1) 23.981 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 23.981 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 23.981 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 23.982 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log -1) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) 23.982 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 23.982 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in n 23.982 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in n 23.982 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in n 23.982 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 23.982 * [taylor]: Taking taylor expansion of 1/2 in n 23.982 * [backup-simplify]: Simplify 1/2 into 1/2 23.982 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 23.982 * [taylor]: Taking taylor expansion of (/ 1 k) in n 23.982 * [taylor]: Taking taylor expansion of k in n 23.982 * [backup-simplify]: Simplify k into k 23.982 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 23.982 * [taylor]: Taking taylor expansion of 1 in n 23.982 * [backup-simplify]: Simplify 1 into 1 23.982 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 23.982 * [taylor]: Taking taylor expansion of (/ -1 n) in n 23.982 * [taylor]: Taking taylor expansion of -1 in n 23.982 * [backup-simplify]: Simplify -1 into -1 23.982 * [taylor]: Taking taylor expansion of n in n 23.982 * [backup-simplify]: Simplify 0 into 0 23.982 * [backup-simplify]: Simplify 1 into 1 23.983 * [backup-simplify]: Simplify (/ -1 1) into -1 23.983 * [backup-simplify]: Simplify (log -1) into (log -1) 23.983 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 23.983 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 23.983 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 23.984 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log -1) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) 23.984 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 23.984 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) in k 23.984 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) in k 23.984 * [taylor]: Taking taylor expansion of 1/2 in k 23.984 * [backup-simplify]: Simplify 1/2 into 1/2 23.984 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log -1) (log n))) in k 23.984 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 23.984 * [taylor]: Taking taylor expansion of (/ 1 k) in k 23.984 * [taylor]: Taking taylor expansion of k in k 23.984 * [backup-simplify]: Simplify 0 into 0 23.984 * [backup-simplify]: Simplify 1 into 1 23.985 * [backup-simplify]: Simplify (/ 1 1) into 1 23.985 * [taylor]: Taking taylor expansion of 1 in k 23.985 * [backup-simplify]: Simplify 1 into 1 23.985 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 23.985 * [taylor]: Taking taylor expansion of (log -1) in k 23.985 * [taylor]: Taking taylor expansion of -1 in k 23.985 * [backup-simplify]: Simplify -1 into -1 23.985 * [backup-simplify]: Simplify (log -1) into (log -1) 23.985 * [taylor]: Taking taylor expansion of (log n) in k 23.985 * [taylor]: Taking taylor expansion of n in k 23.985 * [backup-simplify]: Simplify n into n 23.985 * [backup-simplify]: Simplify (log n) into (log n) 23.985 * [backup-simplify]: Simplify (+ 1 0) into 1 23.985 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 23.986 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 23.986 * [backup-simplify]: Simplify (* 1 (- (log -1) (log n))) into (- (log -1) (log n)) 23.986 * [backup-simplify]: Simplify (* 1/2 (- (log -1) (log n))) into (* 1/2 (- (log -1) (log n))) 23.987 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 23.987 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 23.987 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 23.988 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 23.988 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 23.989 * [backup-simplify]: Simplify (+ 0 0) into 0 23.989 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 23.989 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 23.990 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log -1) (log n)))) into 0 23.990 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 23.991 * [taylor]: Taking taylor expansion of 0 in k 23.991 * [backup-simplify]: Simplify 0 into 0 23.991 * [backup-simplify]: Simplify 0 into 0 23.991 * [backup-simplify]: Simplify 0 into 0 23.991 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.993 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 23.993 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 23.993 * [backup-simplify]: Simplify (+ 0 0) into 0 23.997 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 23.998 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 23.998 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 23.999 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 23.999 * [taylor]: Taking taylor expansion of 0 in k 23.999 * [backup-simplify]: Simplify 0 into 0 23.999 * [backup-simplify]: Simplify 0 into 0 23.999 * [backup-simplify]: Simplify 0 into 0 23.999 * [backup-simplify]: Simplify 0 into 0 24.000 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.006 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 24.006 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 24.007 * [backup-simplify]: Simplify (+ 0 0) into 0 24.008 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 24.009 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 24.010 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 24.012 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 24.012 * [taylor]: Taking taylor expansion of 0 in k 24.012 * [backup-simplify]: Simplify 0 into 0 24.012 * [backup-simplify]: Simplify 0 into 0 24.013 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log -1) (log (/ 1 (- n))))))) into (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) 24.013 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 24.014 * [backup-simplify]: Simplify (pow (* 2 PI) (/ (- 1 k) 2)) into (pow (* 2 PI) (* 1/2 (- 1 k))) 24.014 * [approximate]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 k))) in (k) around 0 24.014 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 k))) in k 24.014 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 PI)))) in k 24.014 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 PI))) in k 24.014 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 24.014 * [taylor]: Taking taylor expansion of 1/2 in k 24.014 * [backup-simplify]: Simplify 1/2 into 1/2 24.014 * [taylor]: Taking taylor expansion of (- 1 k) in k 24.014 * [taylor]: Taking taylor expansion of 1 in k 24.014 * [backup-simplify]: Simplify 1 into 1 24.014 * [taylor]: Taking taylor expansion of k in k 24.014 * [backup-simplify]: Simplify 0 into 0 24.014 * [backup-simplify]: Simplify 1 into 1 24.014 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 24.014 * [taylor]: Taking taylor expansion of (* 2 PI) in k 24.014 * [taylor]: Taking taylor expansion of 2 in k 24.014 * [backup-simplify]: Simplify 2 into 2 24.014 * [taylor]: Taking taylor expansion of PI in k 24.014 * [backup-simplify]: Simplify PI into PI 24.015 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 24.016 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 24.016 * [backup-simplify]: Simplify (- 0) into 0 24.017 * [backup-simplify]: Simplify (+ 1 0) into 1 24.017 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 24.019 * [backup-simplify]: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 24.021 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) 24.022 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 k))) in k 24.022 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 PI)))) in k 24.022 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 PI))) in k 24.022 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 24.022 * [taylor]: Taking taylor expansion of 1/2 in k 24.022 * [backup-simplify]: Simplify 1/2 into 1/2 24.022 * [taylor]: Taking taylor expansion of (- 1 k) in k 24.022 * [taylor]: Taking taylor expansion of 1 in k 24.022 * [backup-simplify]: Simplify 1 into 1 24.022 * [taylor]: Taking taylor expansion of k in k 24.022 * [backup-simplify]: Simplify 0 into 0 24.022 * [backup-simplify]: Simplify 1 into 1 24.022 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 24.022 * [taylor]: Taking taylor expansion of (* 2 PI) in k 24.022 * [taylor]: Taking taylor expansion of 2 in k 24.022 * [backup-simplify]: Simplify 2 into 2 24.022 * [taylor]: Taking taylor expansion of PI in k 24.022 * [backup-simplify]: Simplify PI into PI 24.022 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 24.023 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 24.024 * [backup-simplify]: Simplify (- 0) into 0 24.024 * [backup-simplify]: Simplify (+ 1 0) into 1 24.025 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 24.026 * [backup-simplify]: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 24.029 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) 24.030 * [backup-simplify]: Simplify (pow (* 2 PI) 1/2) into (pow (* 2 PI) 1/2) 24.030 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 24.032 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 24.033 * [backup-simplify]: Simplify (- 1) into -1 24.033 * [backup-simplify]: Simplify (+ 0 -1) into -1 24.034 * [backup-simplify]: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2 24.037 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 PI)))) into (- (* 1/2 (log (* 2 PI)))) 24.049 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 1) 1)))) into (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI)))) 24.053 * [backup-simplify]: Simplify (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI)))) into (* -1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt PI))) 24.054 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 24.058 * [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 24.059 * [backup-simplify]: Simplify (- 0) into 0 24.059 * [backup-simplify]: Simplify (+ 0 0) into 0 24.060 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0 24.062 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 PI))))) into 0 24.076 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2))) 24.081 * [backup-simplify]: Simplify (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2))) into (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt PI))) 24.093 * [backup-simplify]: Simplify (+ (* (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt PI))) (pow k 2)) (+ (* (* -1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt PI))) k) (pow (* 2 PI) 1/2))) into (- (+ (* 1/8 (* (* (sqrt 2) (* (pow k 2) (pow (log (* 2 PI)) 2))) (sqrt PI))) (pow (* 2 PI) 1/2)) (* 1/2 (* (* (sqrt 2) (* k (log (* 2 PI)))) (sqrt PI)))) 24.094 * [backup-simplify]: Simplify (pow (* 2 PI) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k)))) 24.094 * [approximate]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k)))) in (k) around 0 24.094 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k)))) in k 24.094 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI)))) in k 24.094 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI))) in k 24.094 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 24.094 * [taylor]: Taking taylor expansion of 1/2 in k 24.094 * [backup-simplify]: Simplify 1/2 into 1/2 24.094 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 24.094 * [taylor]: Taking taylor expansion of 1 in k 24.094 * [backup-simplify]: Simplify 1 into 1 24.094 * [taylor]: Taking taylor expansion of (/ 1 k) in k 24.094 * [taylor]: Taking taylor expansion of k in k 24.094 * [backup-simplify]: Simplify 0 into 0 24.094 * [backup-simplify]: Simplify 1 into 1 24.094 * [backup-simplify]: Simplify (/ 1 1) into 1 24.094 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 24.094 * [taylor]: Taking taylor expansion of (* 2 PI) in k 24.094 * [taylor]: Taking taylor expansion of 2 in k 24.094 * [backup-simplify]: Simplify 2 into 2 24.095 * [taylor]: Taking taylor expansion of PI in k 24.095 * [backup-simplify]: Simplify PI into PI 24.095 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 24.096 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 24.096 * [backup-simplify]: Simplify (- 1) into -1 24.097 * [backup-simplify]: Simplify (+ 0 -1) into -1 24.097 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 24.099 * [backup-simplify]: Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI))) 24.100 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 24.100 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k)))) in k 24.100 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI)))) in k 24.100 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI))) in k 24.100 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 24.100 * [taylor]: Taking taylor expansion of 1/2 in k 24.100 * [backup-simplify]: Simplify 1/2 into 1/2 24.100 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 24.100 * [taylor]: Taking taylor expansion of 1 in k 24.100 * [backup-simplify]: Simplify 1 into 1 24.100 * [taylor]: Taking taylor expansion of (/ 1 k) in k 24.100 * [taylor]: Taking taylor expansion of k in k 24.100 * [backup-simplify]: Simplify 0 into 0 24.100 * [backup-simplify]: Simplify 1 into 1 24.101 * [backup-simplify]: Simplify (/ 1 1) into 1 24.101 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 24.101 * [taylor]: Taking taylor expansion of (* 2 PI) in k 24.101 * [taylor]: Taking taylor expansion of 2 in k 24.101 * [backup-simplify]: Simplify 2 into 2 24.101 * [taylor]: Taking taylor expansion of PI in k 24.101 * [backup-simplify]: Simplify PI into PI 24.101 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 24.102 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 24.103 * [backup-simplify]: Simplify (- 1) into -1 24.103 * [backup-simplify]: Simplify (+ 0 -1) into -1 24.104 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 24.105 * [backup-simplify]: Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI))) 24.106 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 24.107 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 24.107 * [backup-simplify]: Simplify 0 into 0 24.107 * [backup-simplify]: Simplify 0 into 0 24.107 * [backup-simplify]: Simplify 0 into 0 24.107 * [backup-simplify]: Simplify 0 into 0 24.107 * [backup-simplify]: Simplify 0 into 0 24.107 * [backup-simplify]: Simplify 0 into 0 24.107 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log (* 2 PI))))) into (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) 24.108 * [backup-simplify]: Simplify (pow (* 2 PI) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1))) 24.108 * [approximate]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1))) in (k) around 0 24.108 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1))) in k 24.108 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI)))) in k 24.108 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI))) in k 24.108 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 24.108 * [taylor]: Taking taylor expansion of 1/2 in k 24.108 * [backup-simplify]: Simplify 1/2 into 1/2 24.108 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 24.108 * [taylor]: Taking taylor expansion of (/ 1 k) in k 24.108 * [taylor]: Taking taylor expansion of k in k 24.108 * [backup-simplify]: Simplify 0 into 0 24.108 * [backup-simplify]: Simplify 1 into 1 24.108 * [backup-simplify]: Simplify (/ 1 1) into 1 24.108 * [taylor]: Taking taylor expansion of 1 in k 24.108 * [backup-simplify]: Simplify 1 into 1 24.108 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 24.108 * [taylor]: Taking taylor expansion of (* 2 PI) in k 24.108 * [taylor]: Taking taylor expansion of 2 in k 24.108 * [backup-simplify]: Simplify 2 into 2 24.108 * [taylor]: Taking taylor expansion of PI in k 24.108 * [backup-simplify]: Simplify PI into PI 24.109 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 24.109 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 24.110 * [backup-simplify]: Simplify (+ 1 0) into 1 24.110 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 24.111 * [backup-simplify]: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 24.111 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 24.112 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1))) in k 24.112 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI)))) in k 24.112 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI))) in k 24.112 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 24.112 * [taylor]: Taking taylor expansion of 1/2 in k 24.112 * [backup-simplify]: Simplify 1/2 into 1/2 24.112 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 24.112 * [taylor]: Taking taylor expansion of (/ 1 k) in k 24.112 * [taylor]: Taking taylor expansion of k in k 24.112 * [backup-simplify]: Simplify 0 into 0 24.112 * [backup-simplify]: Simplify 1 into 1 24.112 * [backup-simplify]: Simplify (/ 1 1) into 1 24.112 * [taylor]: Taking taylor expansion of 1 in k 24.112 * [backup-simplify]: Simplify 1 into 1 24.112 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 24.112 * [taylor]: Taking taylor expansion of (* 2 PI) in k 24.112 * [taylor]: Taking taylor expansion of 2 in k 24.112 * [backup-simplify]: Simplify 2 into 2 24.112 * [taylor]: Taking taylor expansion of PI in k 24.112 * [backup-simplify]: Simplify PI into PI 24.112 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 24.113 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 24.113 * [backup-simplify]: Simplify (+ 1 0) into 1 24.113 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 24.114 * [backup-simplify]: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 24.115 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 24.116 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 24.116 * [backup-simplify]: Simplify 0 into 0 24.116 * [backup-simplify]: Simplify 0 into 0 24.116 * [backup-simplify]: Simplify 0 into 0 24.116 * [backup-simplify]: Simplify 0 into 0 24.116 * [backup-simplify]: Simplify 0 into 0 24.116 * [backup-simplify]: Simplify 0 into 0 24.117 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (log (* 2 PI))))) into (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) 24.117 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 24.117 * [backup-simplify]: Simplify (/ 1 (sqrt k)) into (sqrt (/ 1 k)) 24.117 * [approximate]: Taking taylor expansion of (sqrt (/ 1 k)) in (k) around 0 24.117 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 24.117 * [taylor]: Taking taylor expansion of (/ 1 k) in k 24.117 * [taylor]: Taking taylor expansion of k in k 24.117 * [backup-simplify]: Simplify 0 into 0 24.117 * [backup-simplify]: Simplify 1 into 1 24.117 * [backup-simplify]: Simplify (/ 1 1) into 1 24.118 * [backup-simplify]: Simplify (sqrt 0) into 0 24.119 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 24.119 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 24.119 * [taylor]: Taking taylor expansion of (/ 1 k) in k 24.119 * [taylor]: Taking taylor expansion of k in k 24.119 * [backup-simplify]: Simplify 0 into 0 24.119 * [backup-simplify]: Simplify 1 into 1 24.119 * [backup-simplify]: Simplify (/ 1 1) into 1 24.119 * [backup-simplify]: Simplify (sqrt 0) into 0 24.120 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 24.120 * [backup-simplify]: Simplify 0 into 0 24.120 * [backup-simplify]: Simplify +nan.0 into +nan.0 24.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 24.123 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 24.123 * [backup-simplify]: Simplify +nan.0 into +nan.0 24.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.127 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 24.127 * [backup-simplify]: Simplify +nan.0 into +nan.0 24.127 * [backup-simplify]: Simplify (+ (* +nan.0 (pow k 2)) (+ (* +nan.0 k) +nan.0)) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 24.128 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 k))) into (sqrt k) 24.128 * [approximate]: Taking taylor expansion of (sqrt k) in (k) around 0 24.128 * [taylor]: Taking taylor expansion of (sqrt k) in k 24.128 * [taylor]: Taking taylor expansion of k in k 24.128 * [backup-simplify]: Simplify 0 into 0 24.128 * [backup-simplify]: Simplify 1 into 1 24.128 * [backup-simplify]: Simplify (sqrt 0) into 0 24.129 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 24.129 * [taylor]: Taking taylor expansion of (sqrt k) in k 24.129 * [taylor]: Taking taylor expansion of k in k 24.129 * [backup-simplify]: Simplify 0 into 0 24.129 * [backup-simplify]: Simplify 1 into 1 24.129 * [backup-simplify]: Simplify (sqrt 0) into 0 24.130 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 24.130 * [backup-simplify]: Simplify 0 into 0 24.130 * [backup-simplify]: Simplify +nan.0 into +nan.0 24.132 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 24.132 * [backup-simplify]: Simplify +nan.0 into +nan.0 24.134 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 24.134 * [backup-simplify]: Simplify +nan.0 into +nan.0 24.134 * [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)))))))) 24.134 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 (- k)))) into (/ 1 (sqrt (/ -1 k))) 24.134 * [approximate]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in (k) around 0 24.134 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 24.134 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 24.135 * [taylor]: Taking taylor expansion of (/ -1 k) in k 24.135 * [taylor]: Taking taylor expansion of -1 in k 24.135 * [backup-simplify]: Simplify -1 into -1 24.135 * [taylor]: Taking taylor expansion of k in k 24.135 * [backup-simplify]: Simplify 0 into 0 24.135 * [backup-simplify]: Simplify 1 into 1 24.135 * [backup-simplify]: Simplify (/ -1 1) into -1 24.135 * [backup-simplify]: Simplify (sqrt 0) into 0 24.136 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 24.136 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 24.136 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 24.136 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 24.136 * [taylor]: Taking taylor expansion of (/ -1 k) in k 24.136 * [taylor]: Taking taylor expansion of -1 in k 24.136 * [backup-simplify]: Simplify -1 into -1 24.136 * [taylor]: Taking taylor expansion of k in k 24.136 * [backup-simplify]: Simplify 0 into 0 24.136 * [backup-simplify]: Simplify 1 into 1 24.137 * [backup-simplify]: Simplify (/ -1 1) into -1 24.137 * [backup-simplify]: Simplify (sqrt 0) into 0 24.138 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 24.139 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 24.139 * [backup-simplify]: Simplify +nan.0 into +nan.0 24.140 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 24.143 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 24.145 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 24.145 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 24.146 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.150 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 24.154 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 24.154 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 24.155 * [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))))) 24.155 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 24.156 * [backup-simplify]: Simplify (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) into (* (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) 24.156 * [approximate]: Taking taylor expansion of (* (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (k) around 0 24.156 * [taylor]: Taking taylor expansion of (* (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 24.156 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 k))) in k 24.156 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 PI)))) in k 24.156 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 PI))) in k 24.156 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 24.156 * [taylor]: Taking taylor expansion of 1/2 in k 24.156 * [backup-simplify]: Simplify 1/2 into 1/2 24.156 * [taylor]: Taking taylor expansion of (- 1 k) in k 24.156 * [taylor]: Taking taylor expansion of 1 in k 24.156 * [backup-simplify]: Simplify 1 into 1 24.156 * [taylor]: Taking taylor expansion of k in k 24.156 * [backup-simplify]: Simplify 0 into 0 24.156 * [backup-simplify]: Simplify 1 into 1 24.156 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 24.156 * [taylor]: Taking taylor expansion of (* 2 PI) in k 24.156 * [taylor]: Taking taylor expansion of 2 in k 24.156 * [backup-simplify]: Simplify 2 into 2 24.156 * [taylor]: Taking taylor expansion of PI in k 24.156 * [backup-simplify]: Simplify PI into PI 24.157 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 24.158 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 24.158 * [backup-simplify]: Simplify (- 0) into 0 24.159 * [backup-simplify]: Simplify (+ 1 0) into 1 24.159 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 24.161 * [backup-simplify]: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 24.163 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) 24.163 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 24.163 * [taylor]: Taking taylor expansion of (/ 1 k) in k 24.163 * [taylor]: Taking taylor expansion of k in k 24.163 * [backup-simplify]: Simplify 0 into 0 24.163 * [backup-simplify]: Simplify 1 into 1 24.164 * [backup-simplify]: Simplify (/ 1 1) into 1 24.164 * [backup-simplify]: Simplify (sqrt 0) into 0 24.165 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 24.165 * [taylor]: Taking taylor expansion of (* (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 24.166 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 k))) in k 24.166 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 PI)))) in k 24.166 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 PI))) in k 24.166 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 24.166 * [taylor]: Taking taylor expansion of 1/2 in k 24.166 * [backup-simplify]: Simplify 1/2 into 1/2 24.166 * [taylor]: Taking taylor expansion of (- 1 k) in k 24.166 * [taylor]: Taking taylor expansion of 1 in k 24.166 * [backup-simplify]: Simplify 1 into 1 24.166 * [taylor]: Taking taylor expansion of k in k 24.166 * [backup-simplify]: Simplify 0 into 0 24.166 * [backup-simplify]: Simplify 1 into 1 24.166 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 24.166 * [taylor]: Taking taylor expansion of (* 2 PI) in k 24.166 * [taylor]: Taking taylor expansion of 2 in k 24.166 * [backup-simplify]: Simplify 2 into 2 24.166 * [taylor]: Taking taylor expansion of PI in k 24.166 * [backup-simplify]: Simplify PI into PI 24.167 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 24.168 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 24.168 * [backup-simplify]: Simplify (- 0) into 0 24.169 * [backup-simplify]: Simplify (+ 1 0) into 1 24.169 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 24.171 * [backup-simplify]: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 24.173 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) 24.173 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 24.173 * [taylor]: Taking taylor expansion of (/ 1 k) in k 24.173 * [taylor]: Taking taylor expansion of k in k 24.173 * [backup-simplify]: Simplify 0 into 0 24.173 * [backup-simplify]: Simplify 1 into 1 24.174 * [backup-simplify]: Simplify (/ 1 1) into 1 24.174 * [backup-simplify]: Simplify (sqrt 0) into 0 24.175 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 24.176 * [backup-simplify]: Simplify (* (pow (* 2 PI) 1/2) 0) into 0 24.176 * [backup-simplify]: Simplify 0 into 0 24.177 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 24.179 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 24.179 * [backup-simplify]: Simplify (- 1) into -1 24.180 * [backup-simplify]: Simplify (+ 0 -1) into -1 24.181 * [backup-simplify]: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2 24.184 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 PI)))) into (- (* 1/2 (log (* 2 PI)))) 24.196 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 1) 1)))) into (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI)))) 24.202 * [backup-simplify]: Simplify (+ (* (pow (* 2 PI) 1/2) +nan.0) (* (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI)))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt PI)))) 24.205 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) (sqrt PI)))) into (- (* +nan.0 (* (sqrt 2) (sqrt PI)))) 24.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 24.209 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 24.210 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 24.213 * [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 24.214 * [backup-simplify]: Simplify (- 0) into 0 24.214 * [backup-simplify]: Simplify (+ 0 0) into 0 24.215 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0 24.217 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 PI))))) into 0 24.232 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2))) 24.247 * [backup-simplify]: Simplify (+ (* (pow (* 2 PI) 1/2) +nan.0) (+ (* (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI)))) +nan.0) (* (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2))) 0))) into (- (+ (* +nan.0 (* (sqrt 2) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt PI)))))) 24.260 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (sqrt 2) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt PI)))))) into (- (+ (* +nan.0 (* (sqrt 2) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt PI)))))) 24.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.268 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 24.269 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 24.275 * [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 24.275 * [backup-simplify]: Simplify (- 0) into 0 24.276 * [backup-simplify]: Simplify (+ 0 0) into 0 24.277 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))) into 0 24.279 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 PI)))))) into 0 24.299 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 3))) 24.316 * [backup-simplify]: Simplify (+ (* (pow (* 2 PI) 1/2) +nan.0) (+ (* (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI)))) +nan.0) (+ (* (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2))) +nan.0) (* (* -1/48 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 3))) 0)))) into (- (+ (* +nan.0 (* (sqrt 2) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt PI)))))))) 24.331 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (sqrt 2) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt PI)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt PI)))))))) 24.372 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (sqrt 2) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt PI)))))))) (pow k 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt PI)))))) k) (- (* +nan.0 (* (sqrt 2) (sqrt PI)))))) into (- (+ (* +nan.0 (* (* (sqrt 2) (pow k 2)) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt PI))) (- (+ (* +nan.0 (* (* (log (* 2 PI)) (* (sqrt 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log (* 2 PI)) 2) (* (sqrt 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* k (log (* 2 PI)))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) k) (sqrt PI)))))))))))))) 24.373 * [backup-simplify]: Simplify (* (/ 1 (sqrt (/ 1 k))) (pow (* 2 PI) (/ (- 1 (/ 1 k)) 2))) into (* (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) 24.373 * [approximate]: Taking taylor expansion of (* (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (k) around 0 24.373 * [taylor]: Taking taylor expansion of (* (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 24.373 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k)))) in k 24.373 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI)))) in k 24.373 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI))) in k 24.373 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 24.373 * [taylor]: Taking taylor expansion of 1/2 in k 24.373 * [backup-simplify]: Simplify 1/2 into 1/2 24.373 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 24.373 * [taylor]: Taking taylor expansion of 1 in k 24.373 * [backup-simplify]: Simplify 1 into 1 24.373 * [taylor]: Taking taylor expansion of (/ 1 k) in k 24.373 * [taylor]: Taking taylor expansion of k in k 24.373 * [backup-simplify]: Simplify 0 into 0 24.373 * [backup-simplify]: Simplify 1 into 1 24.373 * [backup-simplify]: Simplify (/ 1 1) into 1 24.373 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 24.373 * [taylor]: Taking taylor expansion of (* 2 PI) in k 24.373 * [taylor]: Taking taylor expansion of 2 in k 24.374 * [backup-simplify]: Simplify 2 into 2 24.374 * [taylor]: Taking taylor expansion of PI in k 24.374 * [backup-simplify]: Simplify PI into PI 24.374 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 24.375 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 24.375 * [backup-simplify]: Simplify (- 1) into -1 24.376 * [backup-simplify]: Simplify (+ 0 -1) into -1 24.376 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 24.378 * [backup-simplify]: Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI))) 24.379 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 24.379 * [taylor]: Taking taylor expansion of (sqrt k) in k 24.379 * [taylor]: Taking taylor expansion of k in k 24.379 * [backup-simplify]: Simplify 0 into 0 24.379 * [backup-simplify]: Simplify 1 into 1 24.381 * [backup-simplify]: Simplify (sqrt 0) into 0 24.382 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 24.382 * [taylor]: Taking taylor expansion of (* (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 24.382 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k)))) in k 24.382 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI)))) in k 24.382 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI))) in k 24.382 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 24.382 * [taylor]: Taking taylor expansion of 1/2 in k 24.382 * [backup-simplify]: Simplify 1/2 into 1/2 24.382 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 24.382 * [taylor]: Taking taylor expansion of 1 in k 24.382 * [backup-simplify]: Simplify 1 into 1 24.382 * [taylor]: Taking taylor expansion of (/ 1 k) in k 24.382 * [taylor]: Taking taylor expansion of k in k 24.382 * [backup-simplify]: Simplify 0 into 0 24.382 * [backup-simplify]: Simplify 1 into 1 24.383 * [backup-simplify]: Simplify (/ 1 1) into 1 24.383 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 24.383 * [taylor]: Taking taylor expansion of (* 2 PI) in k 24.383 * [taylor]: Taking taylor expansion of 2 in k 24.383 * [backup-simplify]: Simplify 2 into 2 24.383 * [taylor]: Taking taylor expansion of PI in k 24.383 * [backup-simplify]: Simplify PI into PI 24.383 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 24.384 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 24.384 * [backup-simplify]: Simplify (- 1) into -1 24.384 * [backup-simplify]: Simplify (+ 0 -1) into -1 24.384 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 24.385 * [backup-simplify]: Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI))) 24.386 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 24.386 * [taylor]: Taking taylor expansion of (sqrt k) in k 24.386 * [taylor]: Taking taylor expansion of k in k 24.386 * [backup-simplify]: Simplify 0 into 0 24.386 * [backup-simplify]: Simplify 1 into 1 24.386 * [backup-simplify]: Simplify (sqrt 0) into 0 24.387 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 24.388 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 0) into 0 24.388 * [backup-simplify]: Simplify 0 into 0 24.389 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) 24.390 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) 24.391 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 24.392 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) 24.393 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) 24.395 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 24.397 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) 24.397 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) 24.400 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log (* 2 PI))))))) (pow (/ 1 k) 3)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log (* 2 PI))))))) (pow (/ 1 k) 2)) (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log (* 2 PI))))))) (/ 1 k)))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) k)) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (pow k 2)))))))) 24.400 * [backup-simplify]: Simplify (* (/ 1 (sqrt (/ 1 (- k)))) (pow (* 2 PI) (/ (- 1 (/ 1 (- k))) 2))) into (/ (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) 24.400 * [approximate]: Taking taylor expansion of (/ (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (k) around 0 24.400 * [taylor]: Taking taylor expansion of (/ (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 24.400 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1))) in k 24.400 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI)))) in k 24.400 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI))) in k 24.400 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 24.400 * [taylor]: Taking taylor expansion of 1/2 in k 24.400 * [backup-simplify]: Simplify 1/2 into 1/2 24.400 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 24.400 * [taylor]: Taking taylor expansion of (/ 1 k) in k 24.400 * [taylor]: Taking taylor expansion of k in k 24.400 * [backup-simplify]: Simplify 0 into 0 24.400 * [backup-simplify]: Simplify 1 into 1 24.401 * [backup-simplify]: Simplify (/ 1 1) into 1 24.401 * [taylor]: Taking taylor expansion of 1 in k 24.401 * [backup-simplify]: Simplify 1 into 1 24.401 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 24.401 * [taylor]: Taking taylor expansion of (* 2 PI) in k 24.401 * [taylor]: Taking taylor expansion of 2 in k 24.401 * [backup-simplify]: Simplify 2 into 2 24.401 * [taylor]: Taking taylor expansion of PI in k 24.401 * [backup-simplify]: Simplify PI into PI 24.401 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 24.402 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 24.402 * [backup-simplify]: Simplify (+ 1 0) into 1 24.402 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 24.403 * [backup-simplify]: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 24.404 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 24.404 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 24.404 * [taylor]: Taking taylor expansion of (/ -1 k) in k 24.404 * [taylor]: Taking taylor expansion of -1 in k 24.404 * [backup-simplify]: Simplify -1 into -1 24.404 * [taylor]: Taking taylor expansion of k in k 24.404 * [backup-simplify]: Simplify 0 into 0 24.404 * [backup-simplify]: Simplify 1 into 1 24.404 * [backup-simplify]: Simplify (/ -1 1) into -1 24.405 * [backup-simplify]: Simplify (sqrt 0) into 0 24.406 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 24.406 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) 24.406 * [taylor]: Taking taylor expansion of (/ (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 24.406 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1))) in k 24.406 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI)))) in k 24.406 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI))) in k 24.406 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 24.406 * [taylor]: Taking taylor expansion of 1/2 in k 24.406 * [backup-simplify]: Simplify 1/2 into 1/2 24.406 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 24.406 * [taylor]: Taking taylor expansion of (/ 1 k) in k 24.406 * [taylor]: Taking taylor expansion of k in k 24.406 * [backup-simplify]: Simplify 0 into 0 24.406 * [backup-simplify]: Simplify 1 into 1 24.407 * [backup-simplify]: Simplify (/ 1 1) into 1 24.407 * [taylor]: Taking taylor expansion of 1 in k 24.407 * [backup-simplify]: Simplify 1 into 1 24.407 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 24.407 * [taylor]: Taking taylor expansion of (* 2 PI) in k 24.407 * [taylor]: Taking taylor expansion of 2 in k 24.407 * [backup-simplify]: Simplify 2 into 2 24.407 * [taylor]: Taking taylor expansion of PI in k 24.407 * [backup-simplify]: Simplify PI into PI 24.407 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 24.408 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 24.408 * [backup-simplify]: Simplify (+ 1 0) into 1 24.408 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 24.410 * [backup-simplify]: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 24.411 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 24.411 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 24.411 * [taylor]: Taking taylor expansion of (/ -1 k) in k 24.411 * [taylor]: Taking taylor expansion of -1 in k 24.411 * [backup-simplify]: Simplify -1 into -1 24.411 * [taylor]: Taking taylor expansion of k in k 24.411 * [backup-simplify]: Simplify 0 into 0 24.411 * [backup-simplify]: Simplify 1 into 1 24.412 * [backup-simplify]: Simplify (/ -1 1) into -1 24.412 * [backup-simplify]: Simplify (sqrt 0) into 0 24.413 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 24.414 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) 24.415 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) 24.416 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 24.419 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 24.421 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))))) 24.422 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))))) 24.423 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.427 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 24.430 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))))) 24.432 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))))) 24.435 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (log (* 2 PI))))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (log (* 2 PI))))))) (/ 1 (- k))) (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (log (* 2 PI)))))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))))))))) 24.435 * * * [progress]: simplifying candidates 24.436 * * * * [progress]: [ 1 / 201 ] simplifiying candidate # 24.436 * [simplify]: Simplifying (* (log n) (/ (- 1 k) 2)) 24.436 * * [simplify]: iters left: 6 (8 enodes) 24.441 * * [simplify]: iters left: 5 (35 enodes) 24.453 * * [simplify]: iters left: 4 (56 enodes) 24.469 * * [simplify]: iters left: 3 (70 enodes) 24.481 * * [simplify]: iters left: 2 (125 enodes) 24.513 * * [simplify]: iters left: 1 (158 enodes) 24.567 * * [simplify]: Extracting #0: cost 1 inf + 0 24.567 * * [simplify]: Extracting #1: cost 16 inf + 0 24.567 * * [simplify]: Extracting #2: cost 41 inf + 3 24.568 * * [simplify]: Extracting #3: cost 33 inf + 990 24.569 * * [simplify]: Extracting #4: cost 6 inf + 4107 24.572 * * [simplify]: Extracting #5: cost 0 inf + 5034 24.574 * [simplify]: Simplified to (- (* 1/2 (log n)) (* k (* 1/2 (log n)))) 24.574 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (exp (- (* 1/2 (log n)) (* k (* 1/2 (log n))))))) 24.574 * * * * [progress]: [ 2 / 201 ] simplifiying candidate # 24.574 * * * * [progress]: [ 3 / 201 ] simplifiying candidate # 24.575 * * * * [progress]: [ 4 / 201 ] simplifiying candidate # 24.575 * [simplify]: Simplifying (pow n (/ k 2)) 24.575 * * [simplify]: iters left: 3 (5 enodes) 24.578 * * [simplify]: iters left: 2 (18 enodes) 24.584 * * [simplify]: iters left: 1 (30 enodes) 24.595 * * [simplify]: Extracting #0: cost 1 inf + 0 24.595 * * [simplify]: Extracting #1: cost 10 inf + 0 24.595 * * [simplify]: Extracting #2: cost 23 inf + 1 24.595 * * [simplify]: Extracting #3: cost 23 inf + 46 24.595 * * [simplify]: Extracting #4: cost 11 inf + 1346 24.596 * * [simplify]: Extracting #5: cost 1 inf + 3938 24.597 * * [simplify]: Extracting #6: cost 0 inf + 4111 24.598 * * [simplify]: Extracting #7: cost 0 inf + 4070 24.598 * [simplify]: Simplified to (pow n (/ k 2)) 24.599 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ 1 2)) (pow n (/ k 2))))) 24.599 * * * * [progress]: [ 5 / 201 ] simplifiying candidate # 24.599 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2)) 24.599 * * [simplify]: iters left: 5 (6 enodes) 24.603 * * [simplify]: iters left: 4 (26 enodes) 24.612 * * [simplify]: iters left: 3 (35 enodes) 24.620 * * [simplify]: Extracting #0: cost 1 inf + 0 24.620 * * [simplify]: Extracting #1: cost 3 inf + 0 24.620 * * [simplify]: Extracting #2: cost 8 inf + 0 24.620 * * [simplify]: Extracting #3: cost 11 inf + 2 24.620 * * [simplify]: Extracting #4: cost 8 inf + 87 24.620 * * [simplify]: Extracting #5: cost 2 inf + 500 24.620 * * [simplify]: Extracting #6: cost 0 inf + 746 24.620 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2)) 24.621 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow (pow n (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))))) 24.621 * * * * [progress]: [ 6 / 201 ] simplifiying candidate # 24.621 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2)) 24.621 * * [simplify]: iters left: 5 (6 enodes) 24.625 * * [simplify]: iters left: 4 (26 enodes) 24.630 * * [simplify]: iters left: 3 (35 enodes) 24.636 * * [simplify]: Extracting #0: cost 1 inf + 0 24.636 * * [simplify]: Extracting #1: cost 3 inf + 0 24.636 * * [simplify]: Extracting #2: cost 8 inf + 0 24.636 * * [simplify]: Extracting #3: cost 11 inf + 2 24.636 * * [simplify]: Extracting #4: cost 8 inf + 87 24.636 * * [simplify]: Extracting #5: cost 2 inf + 460 24.637 * * [simplify]: Extracting #6: cost 0 inf + 666 24.637 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2)) 24.637 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow (pow n (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))))) 24.637 * * * * [progress]: [ 7 / 201 ] simplifiying candidate # 24.637 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2)) 24.637 * * [simplify]: iters left: 5 (7 enodes) 24.639 * * [simplify]: iters left: 4 (25 enodes) 24.644 * * [simplify]: iters left: 3 (30 enodes) 24.653 * * [simplify]: Extracting #0: cost 1 inf + 0 24.653 * * [simplify]: Extracting #1: cost 4 inf + 0 24.653 * * [simplify]: Extracting #2: cost 8 inf + 0 24.653 * * [simplify]: Extracting #3: cost 10 inf + 82 24.653 * * [simplify]: Extracting #4: cost 7 inf + 206 24.654 * * [simplify]: Extracting #5: cost 2 inf + 575 24.654 * * [simplify]: Extracting #6: cost 1 inf + 818 24.654 * * [simplify]: Extracting #7: cost 0 inf + 1061 24.654 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2)) 24.655 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow (pow n (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))))) 24.655 * * * * [progress]: [ 8 / 201 ] simplifiying candidate # 24.655 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2)) 24.655 * * [simplify]: iters left: 5 (7 enodes) 24.660 * * [simplify]: iters left: 4 (25 enodes) 24.669 * * [simplify]: iters left: 3 (30 enodes) 24.676 * * [simplify]: Extracting #0: cost 1 inf + 0 24.676 * * [simplify]: Extracting #1: cost 4 inf + 0 24.676 * * [simplify]: Extracting #2: cost 8 inf + 0 24.676 * * [simplify]: Extracting #3: cost 10 inf + 42 24.676 * * [simplify]: Extracting #4: cost 7 inf + 126 24.676 * * [simplify]: Extracting #5: cost 2 inf + 495 24.676 * * [simplify]: Extracting #6: cost 1 inf + 698 24.676 * * [simplify]: Extracting #7: cost 0 inf + 901 24.677 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2)) 24.677 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow (pow n (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2))))) 24.677 * * * * [progress]: [ 9 / 201 ] simplifiying candidate # 24.677 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2) 24.677 * * [simplify]: iters left: 5 (6 enodes) 24.679 * * [simplify]: iters left: 4 (22 enodes) 24.683 * * [simplify]: iters left: 3 (27 enodes) 24.687 * * [simplify]: Extracting #0: cost 1 inf + 0 24.687 * * [simplify]: Extracting #1: cost 4 inf + 0 24.687 * * [simplify]: Extracting #2: cost 5 inf + 1 24.687 * * [simplify]: Extracting #3: cost 9 inf + 1 24.687 * * [simplify]: Extracting #4: cost 8 inf + 3 24.687 * * [simplify]: Extracting #5: cost 4 inf + 169 24.687 * * [simplify]: Extracting #6: cost 1 inf + 576 24.687 * * [simplify]: Extracting #7: cost 0 inf + 739 24.687 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 24.688 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow (pow n (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2)))) 24.688 * * * * [progress]: [ 10 / 201 ] simplifiying candidate # 24.688 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2)) 24.688 * * [simplify]: iters left: 5 (7 enodes) 24.690 * * [simplify]: iters left: 4 (25 enodes) 24.695 * * [simplify]: iters left: 3 (30 enodes) 24.700 * * [simplify]: Extracting #0: cost 1 inf + 0 24.700 * * [simplify]: Extracting #1: cost 4 inf + 0 24.700 * * [simplify]: Extracting #2: cost 8 inf + 0 24.700 * * [simplify]: Extracting #3: cost 10 inf + 82 24.700 * * [simplify]: Extracting #4: cost 7 inf + 206 24.700 * * [simplify]: Extracting #5: cost 2 inf + 495 24.700 * * [simplify]: Extracting #6: cost 1 inf + 698 24.701 * * [simplify]: Extracting #7: cost 0 inf + 901 24.701 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2)) 24.701 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow (pow n (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2))))) 24.701 * * * * [progress]: [ 11 / 201 ] simplifiying candidate # 24.701 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2)) 24.701 * * [simplify]: iters left: 5 (7 enodes) 24.704 * * [simplify]: iters left: 4 (25 enodes) 24.712 * * [simplify]: iters left: 3 (30 enodes) 24.722 * * [simplify]: Extracting #0: cost 1 inf + 0 24.722 * * [simplify]: Extracting #1: cost 4 inf + 0 24.722 * * [simplify]: Extracting #2: cost 8 inf + 0 24.722 * * [simplify]: Extracting #3: cost 10 inf + 42 24.722 * * [simplify]: Extracting #4: cost 7 inf + 126 24.723 * * [simplify]: Extracting #5: cost 2 inf + 415 24.723 * * [simplify]: Extracting #6: cost 1 inf + 578 24.723 * * [simplify]: Extracting #7: cost 0 inf + 741 24.723 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2)) 24.724 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow (pow n (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))))) 24.724 * * * * [progress]: [ 12 / 201 ] simplifiying candidate # 24.724 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2) 24.724 * * [simplify]: iters left: 5 (6 enodes) 24.728 * * [simplify]: iters left: 4 (22 enodes) 24.735 * * [simplify]: iters left: 3 (27 enodes) 24.747 * * [simplify]: Extracting #0: cost 1 inf + 0 24.747 * * [simplify]: Extracting #1: cost 4 inf + 0 24.747 * * [simplify]: Extracting #2: cost 5 inf + 1 24.747 * * [simplify]: Extracting #3: cost 9 inf + 1 24.747 * * [simplify]: Extracting #4: cost 8 inf + 3 24.747 * * [simplify]: Extracting #5: cost 4 inf + 169 24.748 * * [simplify]: Extracting #6: cost 1 inf + 456 24.748 * * [simplify]: Extracting #7: cost 0 inf + 579 24.748 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 24.748 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow (pow n (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)))) 24.748 * * * * [progress]: [ 13 / 201 ] simplifiying candidate # 24.749 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 24.749 * * [simplify]: iters left: 4 (6 enodes) 24.753 * * [simplify]: iters left: 3 (25 enodes) 24.762 * * [simplify]: iters left: 2 (36 enodes) 24.769 * * [simplify]: iters left: 1 (40 enodes) 24.775 * * [simplify]: Extracting #0: cost 1 inf + 0 24.775 * * [simplify]: Extracting #1: cost 7 inf + 0 24.775 * * [simplify]: Extracting #2: cost 16 inf + 0 24.776 * * [simplify]: Extracting #3: cost 13 inf + 44 24.776 * * [simplify]: Extracting #4: cost 3 inf + 1103 24.776 * * [simplify]: Extracting #5: cost 0 inf + 1469 24.776 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 24.776 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow (pow n (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))))) 24.776 * * * * [progress]: [ 14 / 201 ] simplifiying candidate # 24.777 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 24.777 * * [simplify]: iters left: 4 (6 enodes) 24.779 * * [simplify]: iters left: 3 (25 enodes) 24.783 * * [simplify]: iters left: 2 (36 enodes) 24.793 * * [simplify]: iters left: 1 (40 enodes) 24.805 * * [simplify]: Extracting #0: cost 1 inf + 0 24.805 * * [simplify]: Extracting #1: cost 7 inf + 0 24.805 * * [simplify]: Extracting #2: cost 16 inf + 0 24.805 * * [simplify]: Extracting #3: cost 13 inf + 44 24.805 * * [simplify]: Extracting #4: cost 3 inf + 823 24.806 * * [simplify]: Extracting #5: cost 0 inf + 1069 24.806 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 24.806 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow (pow n (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))))) 24.807 * * * * [progress]: [ 15 / 201 ] simplifiying candidate # 24.807 * [simplify]: Simplifying (/ (- 1 k) 2) 24.807 * * [simplify]: iters left: 4 (5 enodes) 24.810 * * [simplify]: iters left: 3 (23 enodes) 24.814 * * [simplify]: iters left: 2 (32 enodes) 24.819 * * [simplify]: Extracting #0: cost 1 inf + 0 24.819 * * [simplify]: Extracting #1: cost 6 inf + 0 24.819 * * [simplify]: Extracting #2: cost 9 inf + 2 24.819 * * [simplify]: Extracting #3: cost 6 inf + 87 24.819 * * [simplify]: Extracting #4: cost 0 inf + 420 24.819 * [simplify]: Simplified to (/ (- 1 k) 2) 24.819 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow (pow n (/ 1 1)) (/ (- 1 k) 2)))) 24.819 * * * * [progress]: [ 16 / 201 ] simplifiying candidate # 24.819 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 24.819 * * [simplify]: iters left: 5 (8 enodes) 24.823 * * [simplify]: iters left: 4 (31 enodes) 24.828 * * [simplify]: iters left: 3 (45 enodes) 24.841 * * [simplify]: iters left: 2 (51 enodes) 24.856 * * [simplify]: iters left: 1 (52 enodes) 24.873 * * [simplify]: Extracting #0: cost 1 inf + 0 24.873 * * [simplify]: Extracting #1: cost 8 inf + 0 24.873 * * [simplify]: Extracting #2: cost 18 inf + 0 24.873 * * [simplify]: Extracting #3: cost 19 inf + 2 24.874 * * [simplify]: Extracting #4: cost 9 inf + 977 24.874 * * [simplify]: Extracting #5: cost 2 inf + 1790 24.875 * * [simplify]: Extracting #6: cost 0 inf + 2195 24.876 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 24.876 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow (pow n (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))))) 24.876 * * * * [progress]: [ 17 / 201 ] simplifiying candidate # 24.877 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 24.877 * * [simplify]: iters left: 5 (8 enodes) 24.883 * * [simplify]: iters left: 4 (31 enodes) 24.894 * * [simplify]: iters left: 3 (45 enodes) 24.906 * * [simplify]: iters left: 2 (51 enodes) 24.920 * * [simplify]: iters left: 1 (52 enodes) 24.935 * * [simplify]: Extracting #0: cost 1 inf + 0 24.935 * * [simplify]: Extracting #1: cost 8 inf + 0 24.935 * * [simplify]: Extracting #2: cost 18 inf + 0 24.935 * * [simplify]: Extracting #3: cost 19 inf + 2 24.936 * * [simplify]: Extracting #4: cost 9 inf + 697 24.936 * * [simplify]: Extracting #5: cost 2 inf + 1390 24.937 * * [simplify]: Extracting #6: cost 0 inf + 1715 24.938 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 24.938 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow (pow n (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))))) 24.938 * * * * [progress]: [ 18 / 201 ] simplifiying candidate # 24.938 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 24.938 * * [simplify]: iters left: 5 (7 enodes) 24.943 * * [simplify]: iters left: 4 (29 enodes) 24.953 * * [simplify]: iters left: 3 (43 enodes) 24.964 * * [simplify]: iters left: 2 (47 enodes) 24.976 * * [simplify]: Extracting #0: cost 1 inf + 0 24.976 * * [simplify]: Extracting #1: cost 7 inf + 0 24.977 * * [simplify]: Extracting #2: cost 11 inf + 2 24.977 * * [simplify]: Extracting #3: cost 13 inf + 3 24.977 * * [simplify]: Extracting #4: cost 11 inf + 45 24.977 * * [simplify]: Extracting #5: cost 0 inf + 1066 24.978 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 24.978 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow (pow n (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 24.978 * * * * [progress]: [ 19 / 201 ] simplifiying candidate # 24.978 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 24.978 * * [simplify]: iters left: 5 (7 enodes) 24.983 * * [simplify]: iters left: 4 (28 enodes) 24.993 * * [simplify]: iters left: 3 (39 enodes) 25.005 * * [simplify]: iters left: 2 (43 enodes) 25.017 * * [simplify]: Extracting #0: cost 1 inf + 0 25.018 * * [simplify]: Extracting #1: cost 7 inf + 0 25.018 * * [simplify]: Extracting #2: cost 16 inf + 0 25.018 * * [simplify]: Extracting #3: cost 15 inf + 164 25.018 * * [simplify]: Extracting #4: cost 13 inf + 287 25.018 * * [simplify]: Extracting #5: cost 5 inf + 1180 25.019 * * [simplify]: Extracting #6: cost 0 inf + 1951 25.019 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 25.019 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow (pow n (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))))) 25.020 * * * * [progress]: [ 20 / 201 ] simplifiying candidate # 25.020 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 25.020 * * [simplify]: iters left: 5 (7 enodes) 25.024 * * [simplify]: iters left: 4 (28 enodes) 25.036 * * [simplify]: iters left: 3 (39 enodes) 25.048 * * [simplify]: iters left: 2 (43 enodes) 25.059 * * [simplify]: Extracting #0: cost 1 inf + 0 25.059 * * [simplify]: Extracting #1: cost 7 inf + 0 25.059 * * [simplify]: Extracting #2: cost 16 inf + 0 25.059 * * [simplify]: Extracting #3: cost 15 inf + 84 25.060 * * [simplify]: Extracting #4: cost 13 inf + 167 25.060 * * [simplify]: Extracting #5: cost 5 inf + 900 25.060 * * [simplify]: Extracting #6: cost 0 inf + 1551 25.060 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 25.060 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow (pow n (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))))) 25.060 * * * * [progress]: [ 21 / 201 ] simplifiying candidate # 25.061 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 25.061 * * [simplify]: iters left: 5 (6 enodes) 25.063 * * [simplify]: iters left: 4 (26 enodes) 25.067 * * [simplify]: iters left: 3 (35 enodes) 25.073 * * [simplify]: Extracting #0: cost 1 inf + 0 25.073 * * [simplify]: Extracting #1: cost 6 inf + 0 25.073 * * [simplify]: Extracting #2: cost 9 inf + 2 25.073 * * [simplify]: Extracting #3: cost 11 inf + 3 25.073 * * [simplify]: Extracting #4: cost 10 inf + 4 25.073 * * [simplify]: Extracting #5: cost 3 inf + 535 25.074 * * [simplify]: Extracting #6: cost 0 inf + 822 25.074 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 25.074 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 25.074 * * * * [progress]: [ 22 / 201 ] simplifiying candidate # 25.074 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 25.074 * * [simplify]: iters left: 4 (6 enodes) 25.076 * * [simplify]: iters left: 3 (25 enodes) 25.082 * * [simplify]: iters left: 2 (36 enodes) 25.094 * * [simplify]: iters left: 1 (40 enodes) 25.106 * * [simplify]: Extracting #0: cost 1 inf + 0 25.106 * * [simplify]: Extracting #1: cost 7 inf + 0 25.107 * * [simplify]: Extracting #2: cost 16 inf + 0 25.107 * * [simplify]: Extracting #3: cost 13 inf + 44 25.108 * * [simplify]: Extracting #4: cost 3 inf + 1103 25.108 * * [simplify]: Extracting #5: cost 0 inf + 1469 25.109 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 25.109 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow (pow n (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))))) 25.109 * * * * [progress]: [ 23 / 201 ] simplifiying candidate # 25.109 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 25.109 * * [simplify]: iters left: 4 (6 enodes) 25.113 * * [simplify]: iters left: 3 (25 enodes) 25.122 * * [simplify]: iters left: 2 (36 enodes) 25.133 * * [simplify]: iters left: 1 (40 enodes) 25.143 * * [simplify]: Extracting #0: cost 1 inf + 0 25.143 * * [simplify]: Extracting #1: cost 7 inf + 0 25.143 * * [simplify]: Extracting #2: cost 16 inf + 0 25.143 * * [simplify]: Extracting #3: cost 13 inf + 44 25.144 * * [simplify]: Extracting #4: cost 3 inf + 823 25.144 * * [simplify]: Extracting #5: cost 0 inf + 1069 25.144 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 25.144 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow (pow n (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))))) 25.144 * * * * [progress]: [ 24 / 201 ] simplifiying candidate # 25.144 * [simplify]: Simplifying (/ (- 1 k) 2) 25.144 * * [simplify]: iters left: 4 (5 enodes) 25.146 * * [simplify]: iters left: 3 (23 enodes) 25.150 * * [simplify]: iters left: 2 (32 enodes) 25.156 * * [simplify]: Extracting #0: cost 1 inf + 0 25.156 * * [simplify]: Extracting #1: cost 6 inf + 0 25.156 * * [simplify]: Extracting #2: cost 9 inf + 2 25.156 * * [simplify]: Extracting #3: cost 6 inf + 87 25.156 * * [simplify]: Extracting #4: cost 0 inf + 420 25.156 * [simplify]: Simplified to (/ (- 1 k) 2) 25.156 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow (pow n (/ 1 1)) (/ (- 1 k) 2)))) 25.156 * * * * [progress]: [ 25 / 201 ] simplifiying candidate # 25.157 * [simplify]: Simplifying (/ (- 1 k) 2) 25.157 * * [simplify]: iters left: 4 (5 enodes) 25.161 * * [simplify]: iters left: 3 (23 enodes) 25.165 * * [simplify]: iters left: 2 (32 enodes) 25.170 * * [simplify]: Extracting #0: cost 1 inf + 0 25.170 * * [simplify]: Extracting #1: cost 6 inf + 0 25.170 * * [simplify]: Extracting #2: cost 9 inf + 2 25.170 * * [simplify]: Extracting #3: cost 6 inf + 87 25.170 * * [simplify]: Extracting #4: cost 0 inf + 420 25.170 * [simplify]: Simplified to (/ (- 1 k) 2) 25.170 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow (pow n 1) (/ (- 1 k) 2)))) 25.170 * * * * [progress]: [ 26 / 201 ] simplifiying candidate # 25.170 * [simplify]: Simplifying (/ 1 2) 25.171 * * [simplify]: iters left: 2 (3 enodes) 25.172 * * [simplify]: iters left: 1 (12 enodes) 25.175 * * [simplify]: Extracting #0: cost 1 inf + 0 25.175 * * [simplify]: Extracting #1: cost 0 inf + 1 25.175 * [simplify]: Simplified to 1/2 25.175 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow (pow n (- 1 k)) 1/2))) 25.175 * * * * [progress]: [ 27 / 201 ] simplifiying candidate # 25.175 * [simplify]: Simplifying (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) 25.175 * * [simplify]: iters left: 5 (9 enodes) 25.178 * * [simplify]: iters left: 4 (38 enodes) 25.188 * * [simplify]: iters left: 3 (63 enodes) 25.210 * * [simplify]: iters left: 2 (98 enodes) 25.235 * * [simplify]: iters left: 1 (167 enodes) 25.280 * * [simplify]: Extracting #0: cost 1 inf + 0 25.280 * * [simplify]: Extracting #1: cost 13 inf + 0 25.280 * * [simplify]: Extracting #2: cost 54 inf + 1 25.281 * * [simplify]: Extracting #3: cost 87 inf + 5 25.281 * * [simplify]: Extracting #4: cost 68 inf + 1334 25.282 * * [simplify]: Extracting #5: cost 40 inf + 5047 25.285 * * [simplify]: Extracting #6: cost 11 inf + 17686 25.288 * * [simplify]: Extracting #7: cost 0 inf + 25802 25.291 * [simplify]: Simplified to (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) 25.291 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (* (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (pow (cbrt n) (/ (- 1 k) 2))))) 25.292 * * * * [progress]: [ 28 / 201 ] simplifiying candidate # 25.292 * [simplify]: Simplifying (pow (sqrt n) (/ (- 1 k) 2)) 25.292 * * [simplify]: iters left: 5 (8 enodes) 25.295 * * [simplify]: iters left: 4 (35 enodes) 25.301 * * [simplify]: iters left: 3 (56 enodes) 25.313 * * [simplify]: iters left: 2 (89 enodes) 25.343 * * [simplify]: iters left: 1 (175 enodes) 25.389 * * [simplify]: Extracting #0: cost 1 inf + 0 25.389 * * [simplify]: Extracting #1: cost 13 inf + 0 25.389 * * [simplify]: Extracting #2: cost 53 inf + 1 25.389 * * [simplify]: Extracting #3: cost 83 inf + 47 25.390 * * [simplify]: Extracting #4: cost 66 inf + 2084 25.391 * * [simplify]: Extracting #5: cost 25 inf + 7926 25.394 * * [simplify]: Extracting #6: cost 3 inf + 20905 25.397 * * [simplify]: Extracting #7: cost 0 inf + 22641 25.400 * * [simplify]: Extracting #8: cost 0 inf + 22420 25.403 * [simplify]: Simplified to (pow (sqrt n) (/ (- 1 k) 2)) 25.403 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (* (pow (sqrt n) (/ (- 1 k) 2)) (pow (sqrt n) (/ (- 1 k) 2))))) 25.403 * * * * [progress]: [ 29 / 201 ] simplifiying candidate # 25.403 * [simplify]: Simplifying (pow 1 (/ (- 1 k) 2)) 25.403 * * [simplify]: iters left: 5 (6 enodes) 25.406 * * [simplify]: iters left: 4 (24 enodes) 25.410 * * [simplify]: iters left: 3 (33 enodes) 25.418 * * [simplify]: Extracting #0: cost 1 inf + 0 25.418 * * [simplify]: Extracting #1: cost 0 inf + 1 25.418 * [simplify]: Simplified to 1 25.418 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (* 1 (pow n (/ (- 1 k) 2))))) 25.418 * * * * [progress]: [ 30 / 201 ] simplifiying candidate # 25.418 * * * * [progress]: [ 31 / 201 ] simplifiying candidate # 25.418 * * * * [progress]: [ 32 / 201 ] simplifiying candidate # 25.418 * * * * [progress]: [ 33 / 201 ] simplifiying candidate # 25.419 * * * * [progress]: [ 34 / 201 ] simplifiying candidate # 25.419 * * * * [progress]: [ 35 / 201 ] simplifiying candidate # 25.419 * * * * [progress]: [ 36 / 201 ] simplifiying candidate # 25.419 * * * * [progress]: [ 37 / 201 ] simplifiying candidate # 25.419 * * * * [progress]: [ 38 / 201 ] simplifiying candidate #real (real->posit16 (pow n (/ (- 1 k) 2))))))> 25.419 * * * * [progress]: [ 39 / 201 ] simplifiying candidate # 25.419 * [simplify]: Simplifying (* (+ (log 2) (log PI)) (/ (- 1 k) 2)) 25.419 * * [simplify]: iters left: 6 (10 enodes) 25.426 * * [simplify]: iters left: 5 (42 enodes) 25.442 * * [simplify]: iters left: 4 (71 enodes) 25.466 * * [simplify]: iters left: 3 (121 enodes) 25.508 * * [simplify]: iters left: 2 (242 enodes) 25.594 * * [simplify]: iters left: 1 (470 enodes) 25.764 * * [simplify]: Extracting #0: cost 1 inf + 0 25.764 * * [simplify]: Extracting #1: cost 30 inf + 0 25.764 * * [simplify]: Extracting #2: cost 100 inf + 3 25.765 * * [simplify]: Extracting #3: cost 120 inf + 963 25.766 * * [simplify]: Extracting #4: cost 77 inf + 6855 25.770 * * [simplify]: Extracting #5: cost 12 inf + 21866 25.776 * * [simplify]: Extracting #6: cost 0 inf + 24423 25.785 * [simplify]: Simplified to (/ (- (+ (log 2) (log PI)) (* k (+ (log 2) (log PI)))) 2) 25.785 * [simplify]: Simplified (2 1 2 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (exp (/ (- (+ (log 2) (log PI)) (* k (+ (log 2) (log PI)))) 2))) (pow n (/ (- 1 k) 2)))) 25.786 * * * * [progress]: [ 40 / 201 ] simplifiying candidate # 25.786 * [simplify]: Simplifying (* (log (* 2 PI)) (/ (- 1 k) 2)) 25.786 * * [simplify]: iters left: 6 (9 enodes) 25.793 * * [simplify]: iters left: 5 (42 enodes) 25.807 * * [simplify]: iters left: 4 (74 enodes) 25.826 * * [simplify]: iters left: 3 (126 enodes) 25.860 * * [simplify]: iters left: 2 (247 enodes) 26.321 * * [simplify]: iters left: 1 (476 enodes) 26.489 * * [simplify]: Extracting #0: cost 1 inf + 0 26.489 * * [simplify]: Extracting #1: cost 30 inf + 0 26.490 * * [simplify]: Extracting #2: cost 101 inf + 3 26.490 * * [simplify]: Extracting #3: cost 128 inf + 242 26.491 * * [simplify]: Extracting #4: cost 87 inf + 5433 26.495 * * [simplify]: Extracting #5: cost 20 inf + 18250 26.500 * * [simplify]: Extracting #6: cost 1 inf + 22360 26.505 * * [simplify]: Extracting #7: cost 0 inf + 22617 26.511 * [simplify]: Simplified to (/ (- (log (* 2 PI)) (* (log (* 2 PI)) k)) 2) 26.512 * [simplify]: Simplified (2 1 2 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (exp (/ (- (log (* 2 PI)) (* (log (* 2 PI)) k)) 2))) (pow n (/ (- 1 k) 2)))) 26.512 * * * * [progress]: [ 41 / 201 ] simplifiying candidate # 26.512 * * * * [progress]: [ 42 / 201 ] simplifiying candidate # 26.512 * [simplify]: Simplifying (* 2 PI) 26.512 * * [simplify]: iters left: 2 (3 enodes) 26.515 * * [simplify]: iters left: 1 (10 enodes) 26.518 * * [simplify]: Extracting #0: cost 1 inf + 0 26.518 * * [simplify]: Extracting #1: cost 4 inf + 0 26.518 * * [simplify]: Extracting #2: cost 2 inf + 2 26.518 * * [simplify]: Extracting #3: cost 0 inf + 86 26.518 * [simplify]: Simplified to (* 2 PI) 26.518 * [simplify]: Simplified (2 1 2 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (* 1 (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2)))) 26.518 * * * * [progress]: [ 43 / 201 ] simplifiying candidate # 26.519 * [simplify]: Simplifying (* 2 PI) 26.519 * * [simplify]: iters left: 2 (3 enodes) 26.520 * * [simplify]: iters left: 1 (10 enodes) 26.523 * * [simplify]: Extracting #0: cost 1 inf + 0 26.524 * * [simplify]: Extracting #1: cost 4 inf + 0 26.524 * * [simplify]: Extracting #2: cost 2 inf + 2 26.524 * * [simplify]: Extracting #3: cost 0 inf + 86 26.524 * [simplify]: Simplified to (* 2 PI) 26.524 * [simplify]: Simplified (2 1 2 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (* 1 (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2)))) 26.524 * * * * [progress]: [ 44 / 201 ] simplifiying candidate # 26.524 * [simplify]: Simplifying (pow (* 2 PI) (/ k 2)) 26.524 * * [simplify]: iters left: 3 (6 enodes) 26.527 * * [simplify]: iters left: 2 (22 enodes) 26.535 * * [simplify]: iters left: 1 (34 enodes) 26.550 * * [simplify]: Extracting #0: cost 1 inf + 0 26.550 * * [simplify]: Extracting #1: cost 10 inf + 0 26.550 * * [simplify]: Extracting #2: cost 26 inf + 0 26.550 * * [simplify]: Extracting #3: cost 23 inf + 128 26.551 * * [simplify]: Extracting #4: cost 10 inf + 1713 26.552 * * [simplify]: Extracting #5: cost 0 inf + 4919 26.553 * [simplify]: Simplified to (pow (* 2 PI) (/ k 2)) 26.553 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))) (pow n (/ (- 1 k) 2)))) 26.553 * * * * [progress]: [ 45 / 201 ] simplifiying candidate # 26.553 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2)) 26.553 * * [simplify]: iters left: 5 (6 enodes) 26.558 * * [simplify]: iters left: 4 (26 enodes) 26.566 * * [simplify]: iters left: 3 (35 enodes) 26.577 * * [simplify]: Extracting #0: cost 1 inf + 0 26.577 * * [simplify]: Extracting #1: cost 3 inf + 0 26.577 * * [simplify]: Extracting #2: cost 8 inf + 0 26.577 * * [simplify]: Extracting #3: cost 11 inf + 2 26.577 * * [simplify]: Extracting #4: cost 8 inf + 87 26.577 * * [simplify]: Extracting #5: cost 2 inf + 500 26.578 * * [simplify]: Extracting #6: cost 0 inf + 746 26.578 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2)) 26.578 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* 2 PI) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2)))) 26.578 * * * * [progress]: [ 46 / 201 ] simplifiying candidate # 26.579 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2)) 26.579 * * [simplify]: iters left: 5 (6 enodes) 26.583 * * [simplify]: iters left: 4 (26 enodes) 26.592 * * [simplify]: iters left: 3 (35 enodes) 26.601 * * [simplify]: Extracting #0: cost 1 inf + 0 26.601 * * [simplify]: Extracting #1: cost 3 inf + 0 26.601 * * [simplify]: Extracting #2: cost 8 inf + 0 26.601 * * [simplify]: Extracting #3: cost 11 inf + 2 26.602 * * [simplify]: Extracting #4: cost 8 inf + 87 26.602 * * [simplify]: Extracting #5: cost 2 inf + 460 26.602 * * [simplify]: Extracting #6: cost 0 inf + 666 26.602 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2)) 26.602 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* 2 PI) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2)))) 26.603 * * * * [progress]: [ 47 / 201 ] simplifiying candidate # 26.603 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2)) 26.603 * * [simplify]: iters left: 5 (7 enodes) 26.606 * * [simplify]: iters left: 4 (25 enodes) 26.614 * * [simplify]: iters left: 3 (30 enodes) 26.624 * * [simplify]: Extracting #0: cost 1 inf + 0 26.624 * * [simplify]: Extracting #1: cost 4 inf + 0 26.624 * * [simplify]: Extracting #2: cost 8 inf + 0 26.624 * * [simplify]: Extracting #3: cost 10 inf + 82 26.624 * * [simplify]: Extracting #4: cost 7 inf + 206 26.625 * * [simplify]: Extracting #5: cost 2 inf + 575 26.625 * * [simplify]: Extracting #6: cost 1 inf + 818 26.625 * * [simplify]: Extracting #7: cost 0 inf + 1061 26.626 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2)) 26.626 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* 2 PI) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2)))) (pow n (/ (- 1 k) 2)))) 26.626 * * * * [progress]: [ 48 / 201 ] simplifiying candidate # 26.626 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2)) 26.626 * * [simplify]: iters left: 5 (7 enodes) 26.630 * * [simplify]: iters left: 4 (25 enodes) 26.639 * * [simplify]: iters left: 3 (30 enodes) 26.648 * * [simplify]: Extracting #0: cost 1 inf + 0 26.648 * * [simplify]: Extracting #1: cost 4 inf + 0 26.648 * * [simplify]: Extracting #2: cost 8 inf + 0 26.649 * * [simplify]: Extracting #3: cost 10 inf + 42 26.649 * * [simplify]: Extracting #4: cost 7 inf + 126 26.649 * * [simplify]: Extracting #5: cost 2 inf + 495 26.649 * * [simplify]: Extracting #6: cost 1 inf + 698 26.650 * * [simplify]: Extracting #7: cost 0 inf + 901 26.650 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2)) 26.650 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* 2 PI) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2)))) (pow n (/ (- 1 k) 2)))) 26.650 * * * * [progress]: [ 49 / 201 ] simplifiying candidate # 26.651 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2) 26.651 * * [simplify]: iters left: 5 (6 enodes) 26.654 * * [simplify]: iters left: 4 (22 enodes) 26.662 * * [simplify]: iters left: 3 (27 enodes) 26.670 * * [simplify]: Extracting #0: cost 1 inf + 0 26.670 * * [simplify]: Extracting #1: cost 4 inf + 0 26.670 * * [simplify]: Extracting #2: cost 5 inf + 1 26.670 * * [simplify]: Extracting #3: cost 9 inf + 1 26.670 * * [simplify]: Extracting #4: cost 8 inf + 3 26.670 * * [simplify]: Extracting #5: cost 4 inf + 169 26.670 * * [simplify]: Extracting #6: cost 1 inf + 576 26.671 * * [simplify]: Extracting #7: cost 0 inf + 739 26.671 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 26.671 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* 2 PI) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2))) (pow n (/ (- 1 k) 2)))) 26.671 * * * * [progress]: [ 50 / 201 ] simplifiying candidate # 26.671 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2)) 26.672 * * [simplify]: iters left: 5 (7 enodes) 26.676 * * [simplify]: iters left: 4 (25 enodes) 26.684 * * [simplify]: iters left: 3 (30 enodes) 26.694 * * [simplify]: Extracting #0: cost 1 inf + 0 26.694 * * [simplify]: Extracting #1: cost 4 inf + 0 26.694 * * [simplify]: Extracting #2: cost 8 inf + 0 26.694 * * [simplify]: Extracting #3: cost 10 inf + 82 26.694 * * [simplify]: Extracting #4: cost 7 inf + 206 26.695 * * [simplify]: Extracting #5: cost 2 inf + 495 26.695 * * [simplify]: Extracting #6: cost 1 inf + 698 26.695 * * [simplify]: Extracting #7: cost 0 inf + 901 26.695 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2)) 26.696 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* 2 PI) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2)))) (pow n (/ (- 1 k) 2)))) 26.696 * * * * [progress]: [ 51 / 201 ] simplifiying candidate # 26.696 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2)) 26.696 * * [simplify]: iters left: 5 (7 enodes) 26.699 * * [simplify]: iters left: 4 (25 enodes) 26.705 * * [simplify]: iters left: 3 (30 enodes) 26.710 * * [simplify]: Extracting #0: cost 1 inf + 0 26.710 * * [simplify]: Extracting #1: cost 4 inf + 0 26.710 * * [simplify]: Extracting #2: cost 8 inf + 0 26.710 * * [simplify]: Extracting #3: cost 10 inf + 42 26.710 * * [simplify]: Extracting #4: cost 7 inf + 126 26.710 * * [simplify]: Extracting #5: cost 2 inf + 415 26.710 * * [simplify]: Extracting #6: cost 1 inf + 578 26.710 * * [simplify]: Extracting #7: cost 0 inf + 741 26.711 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2)) 26.711 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* 2 PI) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2)))) (pow n (/ (- 1 k) 2)))) 26.711 * * * * [progress]: [ 52 / 201 ] simplifiying candidate # 26.711 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2) 26.711 * * [simplify]: iters left: 5 (6 enodes) 26.713 * * [simplify]: iters left: 4 (22 enodes) 26.717 * * [simplify]: iters left: 3 (27 enodes) 26.721 * * [simplify]: Extracting #0: cost 1 inf + 0 26.721 * * [simplify]: Extracting #1: cost 4 inf + 0 26.721 * * [simplify]: Extracting #2: cost 5 inf + 1 26.721 * * [simplify]: Extracting #3: cost 9 inf + 1 26.721 * * [simplify]: Extracting #4: cost 8 inf + 3 26.721 * * [simplify]: Extracting #5: cost 4 inf + 169 26.721 * * [simplify]: Extracting #6: cost 1 inf + 456 26.722 * * [simplify]: Extracting #7: cost 0 inf + 579 26.722 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 26.722 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* 2 PI) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2))) (pow n (/ (- 1 k) 2)))) 26.722 * * * * [progress]: [ 53 / 201 ] simplifiying candidate # 26.722 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 26.722 * * [simplify]: iters left: 4 (6 enodes) 26.725 * * [simplify]: iters left: 3 (25 enodes) 26.734 * * [simplify]: iters left: 2 (36 enodes) 26.745 * * [simplify]: iters left: 1 (40 enodes) 26.755 * * [simplify]: Extracting #0: cost 1 inf + 0 26.755 * * [simplify]: Extracting #1: cost 7 inf + 0 26.755 * * [simplify]: Extracting #2: cost 16 inf + 0 26.755 * * [simplify]: Extracting #3: cost 13 inf + 44 26.755 * * [simplify]: Extracting #4: cost 3 inf + 1103 26.756 * * [simplify]: Extracting #5: cost 0 inf + 1469 26.756 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 26.756 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* 2 PI) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2)))) (pow n (/ (- 1 k) 2)))) 26.756 * * * * [progress]: [ 54 / 201 ] simplifiying candidate # 26.756 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 26.756 * * [simplify]: iters left: 4 (6 enodes) 26.758 * * [simplify]: iters left: 3 (25 enodes) 26.763 * * [simplify]: iters left: 2 (36 enodes) 26.770 * * [simplify]: iters left: 1 (40 enodes) 26.776 * * [simplify]: Extracting #0: cost 1 inf + 0 26.776 * * [simplify]: Extracting #1: cost 7 inf + 0 26.777 * * [simplify]: Extracting #2: cost 16 inf + 0 26.777 * * [simplify]: Extracting #3: cost 13 inf + 44 26.777 * * [simplify]: Extracting #4: cost 3 inf + 823 26.777 * * [simplify]: Extracting #5: cost 0 inf + 1069 26.777 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 26.777 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* 2 PI) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2)))) (pow n (/ (- 1 k) 2)))) 26.777 * * * * [progress]: [ 55 / 201 ] simplifiying candidate # 26.778 * [simplify]: Simplifying (/ (- 1 k) 2) 26.778 * * [simplify]: iters left: 4 (5 enodes) 26.780 * * [simplify]: iters left: 3 (23 enodes) 26.785 * * [simplify]: iters left: 2 (32 enodes) 26.790 * * [simplify]: Extracting #0: cost 1 inf + 0 26.790 * * [simplify]: Extracting #1: cost 6 inf + 0 26.790 * * [simplify]: Extracting #2: cost 9 inf + 2 26.790 * * [simplify]: Extracting #3: cost 6 inf + 87 26.790 * * [simplify]: Extracting #4: cost 0 inf + 420 26.791 * [simplify]: Simplified to (/ (- 1 k) 2) 26.791 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* 2 PI) (/ 1 1)) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 26.791 * * * * [progress]: [ 56 / 201 ] simplifiying candidate # 26.791 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 26.791 * * [simplify]: iters left: 5 (8 enodes) 26.794 * * [simplify]: iters left: 4 (31 enodes) 26.799 * * [simplify]: iters left: 3 (45 enodes) 26.814 * * [simplify]: iters left: 2 (51 enodes) 26.822 * * [simplify]: iters left: 1 (52 enodes) 26.830 * * [simplify]: Extracting #0: cost 1 inf + 0 26.830 * * [simplify]: Extracting #1: cost 8 inf + 0 26.830 * * [simplify]: Extracting #2: cost 18 inf + 0 26.830 * * [simplify]: Extracting #3: cost 19 inf + 2 26.830 * * [simplify]: Extracting #4: cost 9 inf + 977 26.831 * * [simplify]: Extracting #5: cost 2 inf + 1790 26.831 * * [simplify]: Extracting #6: cost 0 inf + 2195 26.831 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 26.831 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* 2 PI) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2)))) (pow n (/ (- 1 k) 2)))) 26.832 * * * * [progress]: [ 57 / 201 ] simplifiying candidate # 26.832 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 26.832 * * [simplify]: iters left: 5 (8 enodes) 26.835 * * [simplify]: iters left: 4 (31 enodes) 26.840 * * [simplify]: iters left: 3 (45 enodes) 26.849 * * [simplify]: iters left: 2 (51 enodes) 26.862 * * [simplify]: iters left: 1 (52 enodes) 26.870 * * [simplify]: Extracting #0: cost 1 inf + 0 26.870 * * [simplify]: Extracting #1: cost 8 inf + 0 26.870 * * [simplify]: Extracting #2: cost 18 inf + 0 26.870 * * [simplify]: Extracting #3: cost 19 inf + 2 26.870 * * [simplify]: Extracting #4: cost 9 inf + 697 26.870 * * [simplify]: Extracting #5: cost 2 inf + 1390 26.870 * * [simplify]: Extracting #6: cost 0 inf + 1715 26.871 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 26.871 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* 2 PI) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2)))) (pow n (/ (- 1 k) 2)))) 26.871 * * * * [progress]: [ 58 / 201 ] simplifiying candidate # 26.871 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 26.871 * * [simplify]: iters left: 5 (7 enodes) 26.874 * * [simplify]: iters left: 4 (29 enodes) 26.880 * * [simplify]: iters left: 3 (43 enodes) 26.886 * * [simplify]: iters left: 2 (47 enodes) 26.892 * * [simplify]: Extracting #0: cost 1 inf + 0 26.892 * * [simplify]: Extracting #1: cost 7 inf + 0 26.892 * * [simplify]: Extracting #2: cost 11 inf + 2 26.892 * * [simplify]: Extracting #3: cost 13 inf + 3 26.892 * * [simplify]: Extracting #4: cost 11 inf + 45 26.892 * * [simplify]: Extracting #5: cost 0 inf + 1066 26.893 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 26.893 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* 2 PI) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (pow n (/ (- 1 k) 2)))) 26.893 * * * * [progress]: [ 59 / 201 ] simplifiying candidate # 26.893 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 26.893 * * [simplify]: iters left: 5 (7 enodes) 26.895 * * [simplify]: iters left: 4 (28 enodes) 26.904 * * [simplify]: iters left: 3 (39 enodes) 26.919 * * [simplify]: iters left: 2 (43 enodes) 26.930 * * [simplify]: Extracting #0: cost 1 inf + 0 26.930 * * [simplify]: Extracting #1: cost 7 inf + 0 26.930 * * [simplify]: Extracting #2: cost 16 inf + 0 26.930 * * [simplify]: Extracting #3: cost 15 inf + 164 26.930 * * [simplify]: Extracting #4: cost 13 inf + 287 26.931 * * [simplify]: Extracting #5: cost 5 inf + 1180 26.931 * * [simplify]: Extracting #6: cost 0 inf + 1951 26.931 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 26.931 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2)))) (pow n (/ (- 1 k) 2)))) 26.931 * * * * [progress]: [ 60 / 201 ] simplifiying candidate # 26.932 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 26.932 * * [simplify]: iters left: 5 (7 enodes) 26.934 * * [simplify]: iters left: 4 (28 enodes) 26.939 * * [simplify]: iters left: 3 (39 enodes) 26.945 * * [simplify]: iters left: 2 (43 enodes) 26.952 * * [simplify]: Extracting #0: cost 1 inf + 0 26.953 * * [simplify]: Extracting #1: cost 7 inf + 0 26.953 * * [simplify]: Extracting #2: cost 16 inf + 0 26.953 * * [simplify]: Extracting #3: cost 15 inf + 84 26.953 * * [simplify]: Extracting #4: cost 13 inf + 167 26.953 * * [simplify]: Extracting #5: cost 5 inf + 900 26.954 * * [simplify]: Extracting #6: cost 0 inf + 1551 26.954 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 26.954 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2)))) (pow n (/ (- 1 k) 2)))) 26.955 * * * * [progress]: [ 61 / 201 ] simplifiying candidate # 26.955 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 26.955 * * [simplify]: iters left: 5 (6 enodes) 26.959 * * [simplify]: iters left: 4 (26 enodes) 26.968 * * [simplify]: iters left: 3 (35 enodes) 26.979 * * [simplify]: Extracting #0: cost 1 inf + 0 26.979 * * [simplify]: Extracting #1: cost 6 inf + 0 26.979 * * [simplify]: Extracting #2: cost 9 inf + 2 26.979 * * [simplify]: Extracting #3: cost 11 inf + 3 26.979 * * [simplify]: Extracting #4: cost 10 inf + 4 26.979 * * [simplify]: Extracting #5: cost 3 inf + 535 26.980 * * [simplify]: Extracting #6: cost 0 inf + 822 26.980 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 26.980 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (pow n (/ (- 1 k) 2)))) 26.980 * * * * [progress]: [ 62 / 201 ] simplifiying candidate # 26.981 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 26.981 * * [simplify]: iters left: 4 (6 enodes) 26.985 * * [simplify]: iters left: 3 (25 enodes) 26.993 * * [simplify]: iters left: 2 (36 enodes) 27.004 * * [simplify]: iters left: 1 (40 enodes) 27.017 * * [simplify]: Extracting #0: cost 1 inf + 0 27.017 * * [simplify]: Extracting #1: cost 7 inf + 0 27.017 * * [simplify]: Extracting #2: cost 16 inf + 0 27.017 * * [simplify]: Extracting #3: cost 13 inf + 44 27.017 * * [simplify]: Extracting #4: cost 3 inf + 1103 27.018 * * [simplify]: Extracting #5: cost 0 inf + 1469 27.018 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 27.018 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* 2 PI) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2)))) (pow n (/ (- 1 k) 2)))) 27.019 * * * * [progress]: [ 63 / 201 ] simplifiying candidate # 27.019 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 27.019 * * [simplify]: iters left: 4 (6 enodes) 27.023 * * [simplify]: iters left: 3 (25 enodes) 27.032 * * [simplify]: iters left: 2 (36 enodes) 27.043 * * [simplify]: iters left: 1 (40 enodes) 27.055 * * [simplify]: Extracting #0: cost 1 inf + 0 27.055 * * [simplify]: Extracting #1: cost 7 inf + 0 27.055 * * [simplify]: Extracting #2: cost 16 inf + 0 27.055 * * [simplify]: Extracting #3: cost 13 inf + 44 27.056 * * [simplify]: Extracting #4: cost 3 inf + 823 27.056 * * [simplify]: Extracting #5: cost 0 inf + 1069 27.057 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 27.057 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* 2 PI) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2)))) (pow n (/ (- 1 k) 2)))) 27.057 * * * * [progress]: [ 64 / 201 ] simplifiying candidate # 27.060 * [simplify]: Simplifying (/ (- 1 k) 2) 27.060 * * [simplify]: iters left: 4 (5 enodes) 27.064 * * [simplify]: iters left: 3 (23 enodes) 27.071 * * [simplify]: iters left: 2 (32 enodes) 27.079 * * [simplify]: Extracting #0: cost 1 inf + 0 27.079 * * [simplify]: Extracting #1: cost 6 inf + 0 27.079 * * [simplify]: Extracting #2: cost 9 inf + 2 27.079 * * [simplify]: Extracting #3: cost 6 inf + 87 27.080 * * [simplify]: Extracting #4: cost 0 inf + 420 27.080 * [simplify]: Simplified to (/ (- 1 k) 2) 27.080 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* 2 PI) (/ 1 1)) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 27.080 * * * * [progress]: [ 65 / 201 ] simplifiying candidate # 27.080 * [simplify]: Simplifying (/ (- 1 k) 2) 27.080 * * [simplify]: iters left: 4 (5 enodes) 27.082 * * [simplify]: iters left: 3 (23 enodes) 27.086 * * [simplify]: iters left: 2 (32 enodes) 27.091 * * [simplify]: Extracting #0: cost 1 inf + 0 27.091 * * [simplify]: Extracting #1: cost 6 inf + 0 27.091 * * [simplify]: Extracting #2: cost 9 inf + 2 27.091 * * [simplify]: Extracting #3: cost 6 inf + 87 27.092 * * [simplify]: Extracting #4: cost 0 inf + 420 27.092 * [simplify]: Simplified to (/ (- 1 k) 2) 27.092 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* 2 PI) 1) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 27.092 * * * * [progress]: [ 66 / 201 ] simplifiying candidate # 27.092 * [simplify]: Simplifying (/ 1 2) 27.092 * * [simplify]: iters left: 2 (3 enodes) 27.094 * * [simplify]: iters left: 1 (12 enodes) 27.096 * * [simplify]: Extracting #0: cost 1 inf + 0 27.096 * * [simplify]: Extracting #1: cost 0 inf + 1 27.096 * [simplify]: Simplified to 1/2 27.096 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* 2 PI) (- 1 k)) 1/2)) (pow n (/ (- 1 k) 2)))) 27.096 * * * * [progress]: [ 67 / 201 ] simplifiying candidate # 27.096 * [simplify]: Simplifying (pow 2 (/ (- 1 k) 2)) 27.097 * * [simplify]: iters left: 5 (6 enodes) 27.099 * * [simplify]: iters left: 4 (29 enodes) 27.105 * * [simplify]: iters left: 3 (54 enodes) 27.122 * * [simplify]: iters left: 2 (85 enodes) 27.151 * * [simplify]: iters left: 1 (153 enodes) 27.212 * * [simplify]: Extracting #0: cost 1 inf + 0 27.212 * * [simplify]: Extracting #1: cost 13 inf + 0 27.212 * * [simplify]: Extracting #2: cost 51 inf + 2 27.212 * * [simplify]: Extracting #3: cost 84 inf + 5 27.213 * * [simplify]: Extracting #4: cost 54 inf + 3194 27.214 * * [simplify]: Extracting #5: cost 29 inf + 7327 27.216 * * [simplify]: Extracting #6: cost 12 inf + 15002 27.219 * * [simplify]: Extracting #7: cost 0 inf + 23100 27.222 * * [simplify]: Extracting #8: cost 0 inf + 22969 27.225 * [simplify]: Simplified to (pow 2 (/ (- 1 k) 2)) 27.225 * [simplify]: Simplified (2 1 2 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2)))) 27.225 * * * * [progress]: [ 68 / 201 ] simplifiying candidate # 27.225 * * * * [progress]: [ 69 / 201 ] simplifiying candidate # 27.225 * * * * [progress]: [ 70 / 201 ] simplifiying candidate # 27.225 * * * * [progress]: [ 71 / 201 ] simplifiying candidate # 27.225 * * * * [progress]: [ 72 / 201 ] simplifiying candidate # 27.225 * * * * [progress]: [ 73 / 201 ] simplifiying candidate # 27.225 * * * * [progress]: [ 74 / 201 ] simplifiying candidate # 27.226 * * * * [progress]: [ 75 / 201 ] simplifiying candidate # 27.226 * * * * [progress]: [ 76 / 201 ] simplifiying candidate #real (real->posit16 (pow (* 2 PI) (/ (- 1 k) 2))))) (pow n (/ (- 1 k) 2))))> 27.226 * * * * [progress]: [ 77 / 201 ] simplifiying candidate # 27.226 * * * * [progress]: [ 78 / 201 ] simplifiying candidate # 27.226 * [simplify]: Simplifying (- 1/2) 27.226 * * [simplify]: iters left: 2 (2 enodes) 27.228 * * [simplify]: iters left: 1 (7 enodes) 27.229 * * [simplify]: Extracting #0: cost 1 inf + 0 27.229 * * [simplify]: Extracting #1: cost 0 inf + 1 27.229 * [simplify]: Simplified to -1/2 27.229 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (pow k -1/2) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 27.229 * * * * [progress]: [ 79 / 201 ] simplifiying candidate # 27.230 * [simplify]: Simplifying (- 1) 27.230 * * [simplify]: iters left: 2 (2 enodes) 27.231 * * [simplify]: iters left: 1 (9 enodes) 27.232 * * [simplify]: Extracting #0: cost 1 inf + 0 27.233 * * [simplify]: Extracting #1: cost 0 inf + 1 27.233 * [simplify]: Simplified to -1 27.233 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (pow (sqrt k) -1) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 27.233 * * * * [progress]: [ 80 / 201 ] simplifiying candidate # 27.233 * [simplify]: Simplifying (- (/ 1 2)) 27.233 * * [simplify]: iters left: 4 (4 enodes) 27.236 * * [simplify]: iters left: 3 (19 enodes) 27.239 * * [simplify]: iters left: 2 (23 enodes) 27.242 * * [simplify]: Extracting #0: cost 1 inf + 0 27.242 * * [simplify]: Extracting #1: cost 0 inf + 1 27.242 * [simplify]: Simplified to -1/2 27.242 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (pow k -1/2) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 27.243 * * * * [progress]: [ 81 / 201 ] simplifiying candidate # 27.243 * * * * [progress]: [ 82 / 201 ] simplifiying candidate # 27.243 * * * * [progress]: [ 83 / 201 ] simplifiying candidate # 27.243 * [simplify]: Simplifying (- 0 (log (sqrt k))) 27.243 * * [simplify]: iters left: 4 (5 enodes) 27.244 * * [simplify]: iters left: 3 (17 enodes) 27.247 * * [simplify]: iters left: 2 (21 enodes) 27.250 * * [simplify]: iters left: 1 (23 enodes) 27.253 * * [simplify]: Extracting #0: cost 1 inf + 0 27.253 * * [simplify]: Extracting #1: cost 4 inf + 0 27.253 * * [simplify]: Extracting #2: cost 5 inf + 1 27.253 * * [simplify]: Extracting #3: cost 7 inf + 1 27.254 * * [simplify]: Extracting #4: cost 0 inf + 608 27.254 * [simplify]: Simplified to (- (log (sqrt k))) 27.254 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (exp (- (log (sqrt k)))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 27.254 * * * * [progress]: [ 84 / 201 ] simplifiying candidate # 27.254 * [simplify]: Simplifying (- (log 1) (log (sqrt k))) 27.254 * * [simplify]: iters left: 4 (6 enodes) 27.256 * * [simplify]: iters left: 3 (22 enodes) 27.259 * * [simplify]: Extracting #0: cost 1 inf + 0 27.259 * * [simplify]: Extracting #1: cost 4 inf + 0 27.259 * * [simplify]: Extracting #2: cost 5 inf + 1 27.259 * * [simplify]: Extracting #3: cost 7 inf + 1 27.259 * * [simplify]: Extracting #4: cost 6 inf + 2 27.259 * * [simplify]: Extracting #5: cost 1 inf + 457 27.259 * * [simplify]: Extracting #6: cost 0 inf + 608 27.260 * [simplify]: Simplified to (- (log (sqrt k))) 27.260 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (exp (- (log (sqrt k)))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 27.260 * * * * [progress]: [ 85 / 201 ] simplifiying candidate # 27.260 * * * * [progress]: [ 86 / 201 ] simplifiying candidate # 27.260 * * * * [progress]: [ 87 / 201 ] simplifiying candidate # 27.260 * [simplify]: Simplifying (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))) 27.260 * * [simplify]: iters left: 6 (8 enodes) 27.264 * * [simplify]: iters left: 5 (26 enodes) 27.273 * * [simplify]: iters left: 4 (43 enodes) 27.287 * * [simplify]: iters left: 3 (59 enodes) 27.306 * * [simplify]: iters left: 2 (67 enodes) 27.323 * * [simplify]: iters left: 1 (69 enodes) 27.335 * * [simplify]: Extracting #0: cost 1 inf + 0 27.335 * * [simplify]: Extracting #1: cost 14 inf + 0 27.335 * * [simplify]: Extracting #2: cost 18 inf + 2 27.335 * * [simplify]: Extracting #3: cost 7 inf + 701 27.335 * * [simplify]: Extracting #4: cost 0 inf + 1234 27.336 * [simplify]: Simplified to (/ (/ 1 k) (sqrt k)) 27.336 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (cbrt (/ (/ 1 k) (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 27.336 * * * * [progress]: [ 88 / 201 ] simplifiying candidate # 27.336 * * * * [progress]: [ 89 / 201 ] simplifiying candidate # 27.336 * * * * [progress]: [ 90 / 201 ] simplifiying candidate # 27.336 * * * * [progress]: [ 91 / 201 ] simplifiying candidate # 27.336 * * * * [progress]: [ 92 / 201 ] simplifiying candidate # 27.336 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 27.336 * * [simplify]: iters left: 6 (8 enodes) 27.339 * * [simplify]: iters left: 5 (32 enodes) 27.345 * * [simplify]: iters left: 4 (48 enodes) 27.353 * * [simplify]: iters left: 3 (76 enodes) 27.364 * * [simplify]: iters left: 2 (81 enodes) 27.373 * * [simplify]: Extracting #0: cost 1 inf + 0 27.373 * * [simplify]: Extracting #1: cost 6 inf + 0 27.373 * * [simplify]: Extracting #2: cost 9 inf + 1 27.373 * * [simplify]: Extracting #3: cost 11 inf + 1 27.374 * * [simplify]: Extracting #4: cost 2 inf + 1052 27.374 * * [simplify]: Extracting #5: cost 0 inf + 1376 27.374 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 27.374 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1) (cbrt (sqrt k)))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 27.374 * [simplify]: Simplifying (/ (cbrt 1) (cbrt (sqrt k))) 27.375 * * [simplify]: iters left: 4 (6 enodes) 27.377 * * [simplify]: iters left: 3 (20 enodes) 27.380 * * [simplify]: iters left: 2 (22 enodes) 27.383 * * [simplify]: Extracting #0: cost 1 inf + 0 27.383 * * [simplify]: Extracting #1: cost 4 inf + 0 27.383 * * [simplify]: Extracting #2: cost 5 inf + 1 27.383 * * [simplify]: Extracting #3: cost 7 inf + 1 27.383 * * [simplify]: Extracting #4: cost 1 inf + 488 27.383 * * [simplify]: Extracting #5: cost 0 inf + 650 27.383 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 27.383 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 27.383 * * * * [progress]: [ 93 / 201 ] simplifiying candidate # 27.384 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) 27.384 * * [simplify]: iters left: 6 (8 enodes) 27.387 * * [simplify]: iters left: 5 (29 enodes) 27.392 * * [simplify]: iters left: 4 (31 enodes) 27.398 * * [simplify]: Extracting #0: cost 1 inf + 0 27.398 * * [simplify]: Extracting #1: cost 4 inf + 0 27.398 * * [simplify]: Extracting #2: cost 6 inf + 1 27.398 * * [simplify]: Extracting #3: cost 9 inf + 1 27.398 * * [simplify]: Extracting #4: cost 8 inf + 2 27.398 * * [simplify]: Extracting #5: cost 2 inf + 729 27.398 * * [simplify]: Extracting #6: cost 0 inf + 972 27.398 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 27.398 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ 1 (fabs (cbrt k))) (/ (cbrt 1) (sqrt (cbrt k)))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 27.399 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (cbrt k))) 27.399 * * [simplify]: iters left: 4 (6 enodes) 27.401 * * [simplify]: iters left: 3 (20 enodes) 27.407 * * [simplify]: iters left: 2 (22 enodes) 27.414 * * [simplify]: Extracting #0: cost 1 inf + 0 27.414 * * [simplify]: Extracting #1: cost 4 inf + 0 27.414 * * [simplify]: Extracting #2: cost 5 inf + 1 27.414 * * [simplify]: Extracting #3: cost 7 inf + 1 27.414 * * [simplify]: Extracting #4: cost 1 inf + 568 27.414 * * [simplify]: Extracting #5: cost 0 inf + 730 27.414 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 27.415 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 27.415 * * * * [progress]: [ 94 / 201 ] simplifiying candidate # 27.415 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 27.415 * * [simplify]: iters left: 5 (7 enodes) 27.420 * * [simplify]: iters left: 4 (25 enodes) 27.428 * * [simplify]: iters left: 3 (27 enodes) 27.435 * * [simplify]: Extracting #0: cost 1 inf + 0 27.435 * * [simplify]: Extracting #1: cost 4 inf + 0 27.435 * * [simplify]: Extracting #2: cost 5 inf + 1 27.435 * * [simplify]: Extracting #3: cost 7 inf + 1 27.435 * * [simplify]: Extracting #4: cost 6 inf + 2 27.436 * * [simplify]: Extracting #5: cost 2 inf + 368 27.436 * * [simplify]: Extracting #6: cost 0 inf + 490 27.436 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 27.436 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k)))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 27.436 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt k))) 27.437 * * [simplify]: iters left: 4 (6 enodes) 27.441 * * [simplify]: iters left: 3 (20 enodes) 27.447 * * [simplify]: iters left: 2 (22 enodes) 27.453 * * [simplify]: Extracting #0: cost 1 inf + 0 27.453 * * [simplify]: Extracting #1: cost 4 inf + 0 27.453 * * [simplify]: Extracting #2: cost 5 inf + 1 27.453 * * [simplify]: Extracting #3: cost 7 inf + 1 27.453 * * [simplify]: Extracting #4: cost 1 inf + 368 27.453 * * [simplify]: Extracting #5: cost 0 inf + 490 27.453 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 27.453 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 27.453 * * * * [progress]: [ 95 / 201 ] simplifiying candidate # 27.454 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) 27.454 * * [simplify]: iters left: 5 (5 enodes) 27.459 * * [simplify]: iters left: 4 (19 enodes) 27.462 * * [simplify]: iters left: 3 (21 enodes) 27.464 * * [simplify]: Extracting #0: cost 1 inf + 0 27.465 * * [simplify]: Extracting #1: cost 0 inf + 1 27.465 * [simplify]: Simplified to 1 27.465 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* 1 (/ (cbrt 1) (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 27.465 * [simplify]: Simplifying (/ (cbrt 1) (sqrt k)) 27.465 * * [simplify]: iters left: 3 (5 enodes) 27.467 * * [simplify]: iters left: 2 (17 enodes) 27.470 * * [simplify]: iters left: 1 (19 enodes) 27.473 * * [simplify]: Extracting #0: cost 1 inf + 0 27.473 * * [simplify]: Extracting #1: cost 4 inf + 0 27.473 * * [simplify]: Extracting #2: cost 5 inf + 1 27.473 * * [simplify]: Extracting #3: cost 0 inf + 248 27.473 * [simplify]: Simplified to (/ 1 (sqrt k)) 27.473 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* 1 (/ 1 (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 27.473 * * * * [progress]: [ 96 / 201 ] simplifiying candidate # 27.473 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 27.473 * * [simplify]: iters left: 5 (7 enodes) 27.476 * * [simplify]: iters left: 4 (25 enodes) 27.480 * * [simplify]: iters left: 3 (27 enodes) 27.487 * * [simplify]: Extracting #0: cost 1 inf + 0 27.487 * * [simplify]: Extracting #1: cost 4 inf + 0 27.487 * * [simplify]: Extracting #2: cost 5 inf + 1 27.487 * * [simplify]: Extracting #3: cost 7 inf + 1 27.487 * * [simplify]: Extracting #4: cost 6 inf + 2 27.487 * * [simplify]: Extracting #5: cost 2 inf + 368 27.487 * * [simplify]: Extracting #6: cost 0 inf + 490 27.488 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 27.488 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k)))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 27.488 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt k))) 27.488 * * [simplify]: iters left: 4 (6 enodes) 27.492 * * [simplify]: iters left: 3 (20 enodes) 27.498 * * [simplify]: iters left: 2 (22 enodes) 27.504 * * [simplify]: Extracting #0: cost 1 inf + 0 27.505 * * [simplify]: Extracting #1: cost 4 inf + 0 27.505 * * [simplify]: Extracting #2: cost 5 inf + 1 27.505 * * [simplify]: Extracting #3: cost 7 inf + 1 27.505 * * [simplify]: Extracting #4: cost 1 inf + 368 27.505 * * [simplify]: Extracting #5: cost 0 inf + 490 27.505 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 27.505 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 27.505 * * * * [progress]: [ 97 / 201 ] simplifiying candidate # 27.506 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) 1) 27.506 * * [simplify]: iters left: 5 (4 enodes) 27.513 * * [simplify]: iters left: 4 (14 enodes) 27.516 * * [simplify]: iters left: 3 (16 enodes) 27.520 * * [simplify]: Extracting #0: cost 1 inf + 0 27.520 * * [simplify]: Extracting #1: cost 0 inf + 1 27.520 * [simplify]: Simplified to 1 27.520 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* 1 (/ (cbrt 1) (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 27.520 * [simplify]: Simplifying (/ (cbrt 1) (sqrt k)) 27.520 * * [simplify]: iters left: 3 (5 enodes) 27.524 * * [simplify]: iters left: 2 (17 enodes) 27.531 * * [simplify]: iters left: 1 (19 enodes) 27.538 * * [simplify]: Extracting #0: cost 1 inf + 0 27.538 * * [simplify]: Extracting #1: cost 4 inf + 0 27.538 * * [simplify]: Extracting #2: cost 5 inf + 1 27.538 * * [simplify]: Extracting #3: cost 0 inf + 248 27.538 * [simplify]: Simplified to (/ 1 (sqrt k)) 27.538 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* 1 (/ 1 (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 27.538 * * * * [progress]: [ 98 / 201 ] simplifiying candidate # 27.539 * [simplify]: Simplifying (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 27.539 * * [simplify]: iters left: 6 (7 enodes) 27.543 * * [simplify]: iters left: 5 (25 enodes) 27.552 * * [simplify]: iters left: 4 (32 enodes) 27.561 * * [simplify]: iters left: 3 (34 enodes) 27.570 * * [simplify]: Extracting #0: cost 1 inf + 0 27.570 * * [simplify]: Extracting #1: cost 7 inf + 0 27.570 * * [simplify]: Extracting #2: cost 11 inf + 1 27.570 * * [simplify]: Extracting #3: cost 13 inf + 1 27.570 * * [simplify]: Extracting #4: cost 10 inf + 84 27.570 * * [simplify]: Extracting #5: cost 4 inf + 1014 27.571 * * [simplify]: Extracting #6: cost 1 inf + 1498 27.571 * * [simplify]: Extracting #7: cost 0 inf + 1700 27.572 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 27.572 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (sqrt 1) (cbrt (sqrt k)))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 27.572 * [simplify]: Simplifying (/ (sqrt 1) (cbrt (sqrt k))) 27.572 * * [simplify]: iters left: 4 (6 enodes) 27.576 * * [simplify]: iters left: 3 (20 enodes) 27.582 * * [simplify]: iters left: 2 (22 enodes) 27.588 * * [simplify]: Extracting #0: cost 1 inf + 0 27.588 * * [simplify]: Extracting #1: cost 4 inf + 0 27.588 * * [simplify]: Extracting #2: cost 5 inf + 1 27.588 * * [simplify]: Extracting #3: cost 7 inf + 1 27.588 * * [simplify]: Extracting #4: cost 1 inf + 488 27.588 * * [simplify]: Extracting #5: cost 0 inf + 650 27.588 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 27.588 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 27.588 * * * * [progress]: [ 99 / 201 ] simplifiying candidate # 27.589 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) 27.589 * * [simplify]: iters left: 6 (7 enodes) 27.593 * * [simplify]: iters left: 5 (24 enodes) 27.600 * * [simplify]: iters left: 4 (26 enodes) 27.604 * * [simplify]: Extracting #0: cost 1 inf + 0 27.604 * * [simplify]: Extracting #1: cost 4 inf + 0 27.604 * * [simplify]: Extracting #2: cost 6 inf + 1 27.604 * * [simplify]: Extracting #3: cost 9 inf + 1 27.604 * * [simplify]: Extracting #4: cost 8 inf + 2 27.604 * * [simplify]: Extracting #5: cost 2 inf + 730 27.605 * * [simplify]: Extracting #6: cost 0 inf + 972 27.605 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 27.605 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ 1 (fabs (cbrt k))) (/ (sqrt 1) (sqrt (cbrt k)))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 27.605 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (cbrt k))) 27.605 * * [simplify]: iters left: 4 (6 enodes) 27.607 * * [simplify]: iters left: 3 (20 enodes) 27.610 * * [simplify]: iters left: 2 (22 enodes) 27.614 * * [simplify]: Extracting #0: cost 1 inf + 0 27.614 * * [simplify]: Extracting #1: cost 4 inf + 0 27.614 * * [simplify]: Extracting #2: cost 5 inf + 1 27.614 * * [simplify]: Extracting #3: cost 7 inf + 1 27.614 * * [simplify]: Extracting #4: cost 1 inf + 568 27.614 * * [simplify]: Extracting #5: cost 0 inf + 730 27.614 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 27.614 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 27.614 * * * * [progress]: [ 100 / 201 ] simplifiying candidate # 27.614 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 27.615 * * [simplify]: iters left: 4 (6 enodes) 27.617 * * [simplify]: iters left: 3 (20 enodes) 27.620 * * [simplify]: iters left: 2 (22 enodes) 27.623 * * [simplify]: Extracting #0: cost 1 inf + 0 27.623 * * [simplify]: Extracting #1: cost 4 inf + 0 27.623 * * [simplify]: Extracting #2: cost 5 inf + 1 27.623 * * [simplify]: Extracting #3: cost 7 inf + 1 27.623 * * [simplify]: Extracting #4: cost 1 inf + 368 27.624 * * [simplify]: Extracting #5: cost 0 inf + 490 27.624 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 27.624 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k)))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 27.624 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 27.624 * * [simplify]: iters left: 4 (6 enodes) 27.626 * * [simplify]: iters left: 3 (20 enodes) 27.629 * * [simplify]: iters left: 2 (22 enodes) 27.632 * * [simplify]: Extracting #0: cost 1 inf + 0 27.632 * * [simplify]: Extracting #1: cost 4 inf + 0 27.632 * * [simplify]: Extracting #2: cost 5 inf + 1 27.632 * * [simplify]: Extracting #3: cost 7 inf + 1 27.633 * * [simplify]: Extracting #4: cost 1 inf + 368 27.633 * * [simplify]: Extracting #5: cost 0 inf + 490 27.633 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 27.633 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 27.633 * * * * [progress]: [ 101 / 201 ] simplifiying candidate # 27.634 * [simplify]: Simplifying (/ (sqrt 1) (sqrt 1)) 27.634 * * [simplify]: iters left: 3 (3 enodes) 27.637 * * [simplify]: iters left: 2 (9 enodes) 27.640 * * [simplify]: iters left: 1 (11 enodes) 27.643 * * [simplify]: Extracting #0: cost 1 inf + 0 27.643 * * [simplify]: Extracting #1: cost 0 inf + 1 27.643 * [simplify]: Simplified to 1 27.643 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* 1 (/ (sqrt 1) (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 27.643 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k)) 27.643 * * [simplify]: iters left: 3 (5 enodes) 27.647 * * [simplify]: iters left: 2 (17 enodes) 27.652 * * [simplify]: iters left: 1 (19 enodes) 27.658 * * [simplify]: Extracting #0: cost 1 inf + 0 27.658 * * [simplify]: Extracting #1: cost 4 inf + 0 27.658 * * [simplify]: Extracting #2: cost 5 inf + 1 27.658 * * [simplify]: Extracting #3: cost 0 inf + 248 27.658 * [simplify]: Simplified to (/ 1 (sqrt k)) 27.658 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* 1 (/ 1 (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 27.658 * * * * [progress]: [ 102 / 201 ] simplifiying candidate # 27.659 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 27.659 * * [simplify]: iters left: 4 (6 enodes) 27.663 * * [simplify]: iters left: 3 (20 enodes) 27.671 * * [simplify]: iters left: 2 (22 enodes) 27.678 * * [simplify]: Extracting #0: cost 1 inf + 0 27.678 * * [simplify]: Extracting #1: cost 4 inf + 0 27.678 * * [simplify]: Extracting #2: cost 5 inf + 1 27.679 * * [simplify]: Extracting #3: cost 7 inf + 1 27.679 * * [simplify]: Extracting #4: cost 1 inf + 368 27.679 * * [simplify]: Extracting #5: cost 0 inf + 490 27.679 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 27.679 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k)))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 27.680 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 27.680 * * [simplify]: iters left: 4 (6 enodes) 27.684 * * [simplify]: iters left: 3 (20 enodes) 27.690 * * [simplify]: iters left: 2 (22 enodes) 27.697 * * [simplify]: Extracting #0: cost 1 inf + 0 27.697 * * [simplify]: Extracting #1: cost 4 inf + 0 27.697 * * [simplify]: Extracting #2: cost 5 inf + 1 27.697 * * [simplify]: Extracting #3: cost 7 inf + 1 27.697 * * [simplify]: Extracting #4: cost 1 inf + 368 27.697 * * [simplify]: Extracting #5: cost 0 inf + 490 27.697 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 27.697 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 27.698 * * * * [progress]: [ 103 / 201 ] simplifiying candidate # 27.698 * [simplify]: Simplifying (/ (sqrt 1) 1) 27.698 * * [simplify]: iters left: 3 (3 enodes) 27.702 * * [simplify]: iters left: 2 (9 enodes) 27.704 * * [simplify]: iters left: 1 (11 enodes) 27.706 * * [simplify]: Extracting #0: cost 1 inf + 0 27.706 * * [simplify]: Extracting #1: cost 0 inf + 1 27.706 * [simplify]: Simplified to 1 27.706 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* 1 (/ (sqrt 1) (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 27.706 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k)) 27.706 * * [simplify]: iters left: 3 (5 enodes) 27.709 * * [simplify]: iters left: 2 (17 enodes) 27.712 * * [simplify]: iters left: 1 (19 enodes) 27.714 * * [simplify]: Extracting #0: cost 1 inf + 0 27.714 * * [simplify]: Extracting #1: cost 4 inf + 0 27.715 * * [simplify]: Extracting #2: cost 5 inf + 1 27.715 * * [simplify]: Extracting #3: cost 0 inf + 248 27.715 * [simplify]: Simplified to (/ 1 (sqrt k)) 27.715 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* 1 (/ 1 (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 27.715 * * * * [progress]: [ 104 / 201 ] simplifiying candidate # 27.715 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 27.715 * * [simplify]: iters left: 6 (6 enodes) 27.717 * * [simplify]: iters left: 5 (22 enodes) 27.720 * * [simplify]: iters left: 4 (26 enodes) 27.724 * * [simplify]: Extracting #0: cost 1 inf + 0 27.724 * * [simplify]: Extracting #1: cost 6 inf + 0 27.724 * * [simplify]: Extracting #2: cost 9 inf + 1 27.724 * * [simplify]: Extracting #3: cost 11 inf + 1 27.724 * * [simplify]: Extracting #4: cost 8 inf + 84 27.724 * * [simplify]: Extracting #5: cost 2 inf + 1013 27.725 * * [simplify]: Extracting #6: cost 0 inf + 1376 27.725 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 27.725 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 27.725 * [simplify]: Simplifying (/ 1 (cbrt (sqrt k))) 27.725 * * [simplify]: iters left: 4 (5 enodes) 27.727 * * [simplify]: iters left: 3 (17 enodes) 27.729 * * [simplify]: iters left: 2 (19 enodes) 27.732 * * [simplify]: Extracting #0: cost 1 inf + 0 27.732 * * [simplify]: Extracting #1: cost 4 inf + 0 27.732 * * [simplify]: Extracting #2: cost 5 inf + 1 27.732 * * [simplify]: Extracting #3: cost 7 inf + 1 27.732 * * [simplify]: Extracting #4: cost 0 inf + 650 27.733 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 27.733 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 27.733 * * * * [progress]: [ 105 / 201 ] simplifiying candidate # 27.733 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt k) (cbrt k)))) 27.733 * * [simplify]: iters left: 6 (6 enodes) 27.736 * * [simplify]: iters left: 5 (21 enodes) 27.743 * * [simplify]: iters left: 4 (23 enodes) 27.749 * * [simplify]: Extracting #0: cost 1 inf + 0 27.749 * * [simplify]: Extracting #1: cost 4 inf + 0 27.750 * * [simplify]: Extracting #2: cost 6 inf + 1 27.750 * * [simplify]: Extracting #3: cost 9 inf + 1 27.750 * * [simplify]: Extracting #4: cost 8 inf + 2 27.750 * * [simplify]: Extracting #5: cost 1 inf + 810 27.750 * * [simplify]: Extracting #6: cost 0 inf + 972 27.750 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 27.750 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 27.751 * [simplify]: Simplifying (/ 1 (sqrt (cbrt k))) 27.751 * * [simplify]: iters left: 4 (5 enodes) 27.753 * * [simplify]: iters left: 3 (17 enodes) 27.759 * * [simplify]: iters left: 2 (19 enodes) 27.763 * * [simplify]: Extracting #0: cost 1 inf + 0 27.763 * * [simplify]: Extracting #1: cost 4 inf + 0 27.763 * * [simplify]: Extracting #2: cost 5 inf + 1 27.763 * * [simplify]: Extracting #3: cost 7 inf + 1 27.763 * * [simplify]: Extracting #4: cost 0 inf + 730 27.763 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 27.763 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 27.763 * * * * [progress]: [ 106 / 201 ] simplifiying candidate # 27.764 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 27.764 * * [simplify]: iters left: 4 (5 enodes) 27.765 * * [simplify]: iters left: 3 (17 enodes) 27.768 * * [simplify]: iters left: 2 (19 enodes) 27.771 * * [simplify]: Extracting #0: cost 1 inf + 0 27.771 * * [simplify]: Extracting #1: cost 4 inf + 0 27.771 * * [simplify]: Extracting #2: cost 5 inf + 1 27.771 * * [simplify]: Extracting #3: cost 7 inf + 1 27.771 * * [simplify]: Extracting #4: cost 0 inf + 490 27.771 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 27.771 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 27.771 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 27.771 * * [simplify]: iters left: 4 (5 enodes) 27.773 * * [simplify]: iters left: 3 (17 enodes) 27.775 * * [simplify]: iters left: 2 (19 enodes) 27.778 * * [simplify]: Extracting #0: cost 1 inf + 0 27.778 * * [simplify]: Extracting #1: cost 4 inf + 0 27.778 * * [simplify]: Extracting #2: cost 5 inf + 1 27.778 * * [simplify]: Extracting #3: cost 7 inf + 1 27.779 * * [simplify]: Extracting #4: cost 0 inf + 490 27.779 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 27.779 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 27.779 * * * * [progress]: [ 107 / 201 ] simplifiying candidate # 27.779 * [simplify]: Simplifying (/ 1 (sqrt 1)) 27.779 * * [simplify]: iters left: 3 (3 enodes) 27.783 * * [simplify]: iters left: 2 (11 enodes) 27.784 * * [simplify]: iters left: 1 (13 enodes) 27.786 * * [simplify]: Extracting #0: cost 1 inf + 0 27.786 * * [simplify]: Extracting #1: cost 0 inf + 1 27.786 * [simplify]: Simplified to 1 27.786 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* 1 (/ 1 (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 27.786 * [simplify]: Simplifying (/ 1 (sqrt k)) 27.786 * * [simplify]: iters left: 3 (4 enodes) 27.789 * * [simplify]: iters left: 2 (14 enodes) 27.792 * * [simplify]: iters left: 1 (16 enodes) 27.796 * * [simplify]: Extracting #0: cost 1 inf + 0 27.796 * * [simplify]: Extracting #1: cost 4 inf + 0 27.796 * * [simplify]: Extracting #2: cost 5 inf + 1 27.797 * * [simplify]: Extracting #3: cost 3 inf + 43 27.797 * * [simplify]: Extracting #4: cost 1 inf + 166 27.797 * * [simplify]: Extracting #5: cost 0 inf + 248 27.797 * [simplify]: Simplified to (/ 1 (sqrt k)) 27.797 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* 1 (/ 1 (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 27.797 * * * * [progress]: [ 108 / 201 ] simplifiying candidate # 27.797 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 27.798 * * [simplify]: iters left: 4 (5 enodes) 27.800 * * [simplify]: iters left: 3 (17 enodes) 27.805 * * [simplify]: iters left: 2 (19 enodes) 27.811 * * [simplify]: Extracting #0: cost 1 inf + 0 27.811 * * [simplify]: Extracting #1: cost 4 inf + 0 27.811 * * [simplify]: Extracting #2: cost 5 inf + 1 27.811 * * [simplify]: Extracting #3: cost 7 inf + 1 27.812 * * [simplify]: Extracting #4: cost 0 inf + 490 27.812 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 27.812 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 27.812 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 27.812 * * [simplify]: iters left: 4 (5 enodes) 27.815 * * [simplify]: iters left: 3 (17 enodes) 27.820 * * [simplify]: iters left: 2 (19 enodes) 27.823 * * [simplify]: Extracting #0: cost 1 inf + 0 27.823 * * [simplify]: Extracting #1: cost 4 inf + 0 27.823 * * [simplify]: Extracting #2: cost 5 inf + 1 27.824 * * [simplify]: Extracting #3: cost 7 inf + 1 27.824 * * [simplify]: Extracting #4: cost 0 inf + 490 27.824 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 27.824 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 27.824 * * * * [progress]: [ 109 / 201 ] simplifiying candidate # 27.824 * [simplify]: Simplifying (/ 1 1) 27.824 * * [simplify]: iters left: 2 (2 enodes) 27.825 * * [simplify]: iters left: 1 (6 enodes) 27.826 * * [simplify]: Extracting #0: cost 1 inf + 0 27.826 * * [simplify]: Extracting #1: cost 0 inf + 1 27.826 * [simplify]: Simplified to 1 27.826 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* 1 (/ 1 (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 27.826 * [simplify]: Simplifying (/ 1 (sqrt k)) 27.826 * * [simplify]: iters left: 3 (4 enodes) 27.828 * * [simplify]: iters left: 2 (14 enodes) 27.830 * * [simplify]: iters left: 1 (16 enodes) 27.832 * * [simplify]: Extracting #0: cost 1 inf + 0 27.833 * * [simplify]: Extracting #1: cost 4 inf + 0 27.833 * * [simplify]: Extracting #2: cost 5 inf + 1 27.833 * * [simplify]: Extracting #3: cost 3 inf + 43 27.833 * * [simplify]: Extracting #4: cost 1 inf + 166 27.833 * * [simplify]: Extracting #5: cost 0 inf + 248 27.833 * [simplify]: Simplified to (/ 1 (sqrt k)) 27.833 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* 1 (/ 1 (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 27.833 * * * * [progress]: [ 110 / 201 ] simplifiying candidate # 27.833 * * * * [progress]: [ 111 / 201 ] simplifiying candidate # 27.833 * * * * [progress]: [ 112 / 201 ] simplifiying candidate # 27.833 * * * * [progress]: [ 113 / 201 ] simplifiying candidate # 27.833 * [simplify]: Simplifying (cbrt (sqrt k)) 27.833 * * [simplify]: iters left: 2 (3 enodes) 27.834 * * [simplify]: iters left: 1 (9 enodes) 27.835 * * [simplify]: Extracting #0: cost 1 inf + 0 27.835 * * [simplify]: Extracting #1: cost 3 inf + 0 27.835 * * [simplify]: Extracting #2: cost 5 inf + 0 27.835 * * [simplify]: Extracting #3: cost 4 inf + 1 27.835 * * [simplify]: Extracting #4: cost 0 inf + 325 27.835 * [simplify]: Simplified to (cbrt (sqrt k)) 27.835 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 27.835 * * * * [progress]: [ 114 / 201 ] simplifiying candidate # 27.836 * [simplify]: Simplifying (sqrt (cbrt k)) 27.836 * * [simplify]: iters left: 2 (3 enodes) 27.836 * * [simplify]: iters left: 1 (9 enodes) 27.838 * * [simplify]: Extracting #0: cost 1 inf + 0 27.838 * * [simplify]: Extracting #1: cost 3 inf + 0 27.838 * * [simplify]: Extracting #2: cost 5 inf + 0 27.838 * * [simplify]: Extracting #3: cost 4 inf + 1 27.838 * * [simplify]: Extracting #4: cost 0 inf + 405 27.838 * [simplify]: Simplified to (sqrt (cbrt k)) 27.838 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 27.838 * * * * [progress]: [ 115 / 201 ] simplifiying candidate # 27.838 * [simplify]: Simplifying (sqrt (sqrt k)) 27.838 * * [simplify]: iters left: 2 (3 enodes) 27.839 * * [simplify]: iters left: 1 (9 enodes) 27.840 * * [simplify]: Extracting #0: cost 1 inf + 0 27.840 * * [simplify]: Extracting #1: cost 3 inf + 0 27.840 * * [simplify]: Extracting #2: cost 5 inf + 0 27.840 * * [simplify]: Extracting #3: cost 4 inf + 1 27.840 * * [simplify]: Extracting #4: cost 0 inf + 245 27.840 * [simplify]: Simplified to (sqrt (sqrt k)) 27.840 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 27.840 * * * * [progress]: [ 116 / 201 ] simplifiying candidate # 27.841 * [simplify]: Simplifying (sqrt k) 27.841 * * [simplify]: iters left: 1 (2 enodes) 27.841 * * [simplify]: Extracting #0: cost 1 inf + 0 27.841 * * [simplify]: Extracting #1: cost 3 inf + 0 27.841 * * [simplify]: Extracting #2: cost 2 inf + 1 27.841 * * [simplify]: Extracting #3: cost 0 inf + 83 27.841 * [simplify]: Simplified to (sqrt k) 27.841 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (/ (/ 1 (sqrt 1)) (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 27.841 * * * * [progress]: [ 117 / 201 ] simplifiying candidate # 27.841 * [simplify]: Simplifying (sqrt (sqrt k)) 27.841 * * [simplify]: iters left: 2 (3 enodes) 27.842 * * [simplify]: iters left: 1 (9 enodes) 27.843 * * [simplify]: Extracting #0: cost 1 inf + 0 27.843 * * [simplify]: Extracting #1: cost 3 inf + 0 27.843 * * [simplify]: Extracting #2: cost 5 inf + 0 27.843 * * [simplify]: Extracting #3: cost 4 inf + 1 27.843 * * [simplify]: Extracting #4: cost 0 inf + 245 27.844 * [simplify]: Simplified to (sqrt (sqrt k)) 27.844 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 27.844 * * * * [progress]: [ 118 / 201 ] simplifiying candidate # 27.844 * [simplify]: Simplifying (sqrt k) 27.844 * * [simplify]: iters left: 1 (2 enodes) 27.844 * * [simplify]: Extracting #0: cost 1 inf + 0 27.844 * * [simplify]: Extracting #1: cost 3 inf + 0 27.844 * * [simplify]: Extracting #2: cost 2 inf + 1 27.844 * * [simplify]: Extracting #3: cost 0 inf + 83 27.844 * [simplify]: Simplified to (sqrt k) 27.844 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (/ (/ 1 1) (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 27.845 * * * * [progress]: [ 119 / 201 ] simplifiying candidate # 27.845 * [simplify]: Simplifying (* (cbrt 1) (cbrt 1)) 27.845 * * [simplify]: iters left: 3 (3 enodes) 27.849 * * [simplify]: iters left: 2 (11 enodes) 27.851 * * [simplify]: iters left: 1 (13 enodes) 27.853 * * [simplify]: Extracting #0: cost 1 inf + 0 27.853 * * [simplify]: Extracting #1: cost 0 inf + 1 27.853 * [simplify]: Simplified to 1 27.853 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (/ 1 (/ (sqrt k) (cbrt 1))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 27.853 * * * * [progress]: [ 120 / 201 ] simplifiying candidate # 27.853 * [simplify]: Simplifying (sqrt 1) 27.853 * * [simplify]: iters left: 1 (2 enodes) 27.855 * * [simplify]: Extracting #0: cost 1 inf + 0 27.855 * * [simplify]: Extracting #1: cost 0 inf + 1 27.855 * [simplify]: Simplified to 1 27.856 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (/ 1 (/ (sqrt k) (sqrt 1))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 27.856 * * * * [progress]: [ 121 / 201 ] simplifiying candidate # 27.856 * * * * [progress]: [ 122 / 201 ] simplifiying candidate #real (real->posit16 (/ 1 (sqrt k)))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))))> 27.856 * * * * [progress]: [ 123 / 201 ] simplifiying candidate # 27.856 * * * * [progress]: [ 124 / 201 ] simplifiying candidate # 27.856 * [simplify]: Simplifying (+ (- (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (- 1 k) 2))) 27.856 * * [simplify]: iters left: 6 (14 enodes) 27.861 * * [simplify]: iters left: 5 (55 enodes) 27.874 * * [simplify]: iters left: 4 (85 enodes) 27.905 * * [simplify]: iters left: 3 (159 enodes) 27.937 * * [simplify]: iters left: 2 (308 enodes) 28.045 * * [simplify]: Extracting #0: cost 1 inf + 0 28.045 * * [simplify]: Extracting #1: cost 11 inf + 0 28.046 * * [simplify]: Extracting #2: cost 45 inf + 0 28.046 * * [simplify]: Extracting #3: cost 84 inf + 184 28.047 * * [simplify]: Extracting #4: cost 99 inf + 1121 28.050 * * [simplify]: Extracting #5: cost 52 inf + 9366 28.057 * * [simplify]: Extracting #6: cost 3 inf + 21708 28.066 * * [simplify]: Extracting #7: cost 0 inf + 22574 28.075 * * [simplify]: Extracting #8: cost 0 inf + 22573 28.084 * [simplify]: Simplified to (- (/ (- (+ (log 2) (log PI)) (* k (+ (log 2) (log PI)))) 2) (log (sqrt k))) 28.084 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (/ (- (+ (log 2) (log PI)) (* k (+ (log 2) (log PI)))) 2) (log (sqrt k)))) (pow n (/ (- 1 k) 2)))) 28.085 * * * * [progress]: [ 125 / 201 ] simplifiying candidate # 28.085 * [simplify]: Simplifying (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (- 1 k) 2))) 28.085 * * [simplify]: iters left: 6 (13 enodes) 28.093 * * [simplify]: iters left: 5 (55 enodes) 28.111 * * [simplify]: iters left: 4 (88 enodes) 28.144 * * [simplify]: iters left: 3 (152 enodes) 28.198 * * [simplify]: iters left: 2 (293 enodes) 28.273 * * [simplify]: Extracting #0: cost 1 inf + 0 28.273 * * [simplify]: Extracting #1: cost 10 inf + 0 28.273 * * [simplify]: Extracting #2: cost 44 inf + 0 28.273 * * [simplify]: Extracting #3: cost 87 inf + 73 28.274 * * [simplify]: Extracting #4: cost 100 inf + 1164 28.276 * * [simplify]: Extracting #5: cost 37 inf + 11868 28.282 * * [simplify]: Extracting #6: cost 6 inf + 19245 28.291 * * [simplify]: Extracting #7: cost 0 inf + 20758 28.296 * * [simplify]: Extracting #8: cost 0 inf + 20757 28.301 * [simplify]: Simplified to (- (/ (- (log (* 2 PI)) (* (log (* 2 PI)) k)) 2) (log (sqrt k))) 28.301 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (/ (- (log (* 2 PI)) (* (log (* 2 PI)) k)) 2) (log (sqrt k)))) (pow n (/ (- 1 k) 2)))) 28.301 * * * * [progress]: [ 126 / 201 ] simplifiying candidate # 28.301 * [simplify]: Simplifying (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (- 1 k) 2))) 28.301 * * [simplify]: iters left: 6 (13 enodes) 28.305 * * [simplify]: iters left: 5 (55 enodes) 28.317 * * [simplify]: iters left: 4 (88 enodes) 28.332 * * [simplify]: iters left: 3 (152 enodes) 28.375 * * [simplify]: iters left: 2 (293 enodes) 28.488 * * [simplify]: Extracting #0: cost 1 inf + 0 28.488 * * [simplify]: Extracting #1: cost 10 inf + 0 28.488 * * [simplify]: Extracting #2: cost 44 inf + 0 28.489 * * [simplify]: Extracting #3: cost 87 inf + 73 28.490 * * [simplify]: Extracting #4: cost 100 inf + 1164 28.493 * * [simplify]: Extracting #5: cost 37 inf + 11868 28.501 * * [simplify]: Extracting #6: cost 6 inf + 19245 28.507 * * [simplify]: Extracting #7: cost 0 inf + 20758 28.514 * * [simplify]: Extracting #8: cost 0 inf + 20757 28.518 * [simplify]: Simplified to (- (/ (- (log (* 2 PI)) (* (log (* 2 PI)) k)) 2) (log (sqrt k))) 28.518 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (/ (- (log (* 2 PI)) (* (log (* 2 PI)) k)) 2) (log (sqrt k)))) (pow n (/ (- 1 k) 2)))) 28.518 * * * * [progress]: [ 127 / 201 ] simplifiying candidate # 28.518 * [simplify]: Simplifying (+ (- (log (sqrt k))) (log (pow (* 2 PI) (/ (- 1 k) 2)))) 28.519 * * [simplify]: iters left: 6 (13 enodes) 28.523 * * [simplify]: iters left: 5 (54 enodes) 28.533 * * [simplify]: iters left: 4 (91 enodes) 28.561 * * [simplify]: iters left: 3 (164 enodes) 28.608 * * [simplify]: iters left: 2 (359 enodes) 28.739 * * [simplify]: Extracting #0: cost 1 inf + 0 28.739 * * [simplify]: Extracting #1: cost 39 inf + 0 28.740 * * [simplify]: Extracting #2: cost 184 inf + 0 28.741 * * [simplify]: Extracting #3: cost 251 inf + 6 28.745 * * [simplify]: Extracting #4: cost 215 inf + 10929 28.762 * * [simplify]: Extracting #5: cost 40 inf + 58341 28.787 * * [simplify]: Extracting #6: cost 0 inf + 73884 28.813 * * [simplify]: Extracting #7: cost 0 inf + 73622 28.837 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (log (* 2 PI))) (log (sqrt k))) 28.837 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (* (/ (- 1 k) 2) (log (* 2 PI))) (log (sqrt k)))) (pow n (/ (- 1 k) 2)))) 28.837 * * * * [progress]: [ 128 / 201 ] simplifiying candidate # 28.838 * [simplify]: Simplifying (+ (- 0 (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (- 1 k) 2))) 28.838 * * [simplify]: iters left: 6 (15 enodes) 28.847 * * [simplify]: iters left: 5 (61 enodes) 28.871 * * [simplify]: iters left: 4 (102 enodes) 28.899 * * [simplify]: iters left: 3 (222 enodes) 28.949 * * [simplify]: Extracting #0: cost 1 inf + 0 28.949 * * [simplify]: Extracting #1: cost 28 inf + 0 28.950 * * [simplify]: Extracting #2: cost 101 inf + 1 28.950 * * [simplify]: Extracting #3: cost 135 inf + 74 28.951 * * [simplify]: Extracting #4: cost 135 inf + 939 28.953 * * [simplify]: Extracting #5: cost 46 inf + 20517 28.960 * * [simplify]: Extracting #6: cost 0 inf + 34706 28.967 * * [simplify]: Extracting #7: cost 0 inf + 34704 28.974 * [simplify]: Simplified to (- (/ (- (+ (log PI) (log 2)) (* k (+ (log PI) (log 2)))) 2) (log (sqrt k))) 28.975 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (/ (- (+ (log PI) (log 2)) (* k (+ (log PI) (log 2)))) 2) (log (sqrt k)))) (pow n (/ (- 1 k) 2)))) 28.975 * * * * [progress]: [ 129 / 201 ] simplifiying candidate # 28.975 * [simplify]: Simplifying (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (- 1 k) 2))) 28.975 * * [simplify]: iters left: 6 (14 enodes) 28.984 * * [simplify]: iters left: 5 (61 enodes) 29.005 * * [simplify]: iters left: 4 (105 enodes) 29.041 * * [simplify]: iters left: 3 (205 enodes) 29.095 * * [simplify]: iters left: 2 (479 enodes) 29.274 * * [simplify]: Extracting #0: cost 1 inf + 0 29.274 * * [simplify]: Extracting #1: cost 16 inf + 0 29.274 * * [simplify]: Extracting #2: cost 86 inf + 1 29.274 * * [simplify]: Extracting #3: cost 148 inf + 297 29.275 * * [simplify]: Extracting #4: cost 157 inf + 1505 29.278 * * [simplify]: Extracting #5: cost 100 inf + 11620 29.284 * * [simplify]: Extracting #6: cost 14 inf + 32172 29.293 * * [simplify]: Extracting #7: cost 0 inf + 35132 29.302 * * [simplify]: Extracting #8: cost 0 inf + 35129 29.316 * [simplify]: Simplified to (- (/ (- (log (* 2 PI)) (* (log (* 2 PI)) k)) 2) (log (sqrt k))) 29.317 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (/ (- (log (* 2 PI)) (* (log (* 2 PI)) k)) 2) (log (sqrt k)))) (pow n (/ (- 1 k) 2)))) 29.317 * * * * [progress]: [ 130 / 201 ] simplifiying candidate # 29.317 * [simplify]: Simplifying (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (- 1 k) 2))) 29.317 * * [simplify]: iters left: 6 (14 enodes) 29.322 * * [simplify]: iters left: 5 (61 enodes) 29.332 * * [simplify]: iters left: 4 (105 enodes) 29.354 * * [simplify]: iters left: 3 (205 enodes) 29.410 * * [simplify]: iters left: 2 (479 enodes) 29.700 * * [simplify]: Extracting #0: cost 1 inf + 0 29.700 * * [simplify]: Extracting #1: cost 16 inf + 0 29.701 * * [simplify]: Extracting #2: cost 86 inf + 1 29.702 * * [simplify]: Extracting #3: cost 148 inf + 297 29.703 * * [simplify]: Extracting #4: cost 157 inf + 1505 29.708 * * [simplify]: Extracting #5: cost 100 inf + 11620 29.717 * * [simplify]: Extracting #6: cost 14 inf + 32172 29.726 * * [simplify]: Extracting #7: cost 0 inf + 35132 29.734 * * [simplify]: Extracting #8: cost 0 inf + 35129 29.746 * [simplify]: Simplified to (- (/ (- (log (* 2 PI)) (* (log (* 2 PI)) k)) 2) (log (sqrt k))) 29.746 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (/ (- (log (* 2 PI)) (* (log (* 2 PI)) k)) 2) (log (sqrt k)))) (pow n (/ (- 1 k) 2)))) 29.746 * * * * [progress]: [ 131 / 201 ] simplifiying candidate # 29.746 * [simplify]: Simplifying (+ (- 0 (log (sqrt k))) (log (pow (* 2 PI) (/ (- 1 k) 2)))) 29.747 * * [simplify]: iters left: 6 (14 enodes) 29.755 * * [simplify]: iters left: 5 (60 enodes) 29.778 * * [simplify]: iters left: 4 (104 enodes) 29.818 * * [simplify]: iters left: 3 (202 enodes) 29.878 * * [simplify]: Extracting #0: cost 1 inf + 0 29.878 * * [simplify]: Extracting #1: cost 23 inf + 0 29.879 * * [simplify]: Extracting #2: cost 102 inf + 1 29.880 * * [simplify]: Extracting #3: cost 164 inf + 3 29.881 * * [simplify]: Extracting #4: cost 163 inf + 774 29.885 * * [simplify]: Extracting #5: cost 79 inf + 17020 29.899 * * [simplify]: Extracting #6: cost 20 inf + 31539 29.913 * * [simplify]: Extracting #7: cost 0 inf + 40026 29.926 * [simplify]: Simplified to (- (/ (log (* 2 PI)) (/ 2 (- 1 k))) (log (sqrt k))) 29.926 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (/ (log (* 2 PI)) (/ 2 (- 1 k))) (log (sqrt k)))) (pow n (/ (- 1 k) 2)))) 29.926 * * * * [progress]: [ 132 / 201 ] simplifiying candidate # 29.926 * [simplify]: Simplifying (+ (- (log 1) (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (- 1 k) 2))) 29.927 * * [simplify]: iters left: 6 (15 enodes) 29.936 * * [simplify]: iters left: 5 (62 enodes) 29.956 * * [simplify]: iters left: 4 (97 enodes) 29.993 * * [simplify]: iters left: 3 (206 enodes) 30.071 * * [simplify]: iters left: 2 (475 enodes) 30.238 * * [simplify]: Extracting #0: cost 1 inf + 0 30.238 * * [simplify]: Extracting #1: cost 26 inf + 0 30.239 * * [simplify]: Extracting #2: cost 94 inf + 1 30.239 * * [simplify]: Extracting #3: cost 155 inf + 75 30.240 * * [simplify]: Extracting #4: cost 162 inf + 1465 30.244 * * [simplify]: Extracting #5: cost 60 inf + 23387 30.262 * * [simplify]: Extracting #6: cost 1 inf + 39300 30.281 * * [simplify]: Extracting #7: cost 0 inf + 39519 30.290 * [simplify]: Simplified to (- (/ (- (+ (log PI) (log 2)) (* k (+ (log PI) (log 2)))) 2) (log (sqrt k))) 30.290 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (/ (- (+ (log PI) (log 2)) (* k (+ (log PI) (log 2)))) 2) (log (sqrt k)))) (pow n (/ (- 1 k) 2)))) 30.290 * * * * [progress]: [ 133 / 201 ] simplifiying candidate # 30.290 * [simplify]: Simplifying (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (- 1 k) 2))) 30.291 * * [simplify]: iters left: 6 (14 enodes) 30.296 * * [simplify]: iters left: 5 (62 enodes) 30.307 * * [simplify]: iters left: 4 (100 enodes) 30.337 * * [simplify]: iters left: 3 (197 enodes) 30.391 * * [simplify]: iters left: 2 (439 enodes) 30.665 * * [simplify]: Extracting #0: cost 1 inf + 0 30.665 * * [simplify]: Extracting #1: cost 26 inf + 0 30.665 * * [simplify]: Extracting #2: cost 93 inf + 1 30.666 * * [simplify]: Extracting #3: cost 159 inf + 4 30.668 * * [simplify]: Extracting #4: cost 167 inf + 1255 30.672 * * [simplify]: Extracting #5: cost 119 inf + 9382 30.684 * * [simplify]: Extracting #6: cost 23 inf + 31760 30.705 * * [simplify]: Extracting #7: cost 0 inf + 37412 30.722 * * [simplify]: Extracting #8: cost 0 inf + 37409 30.733 * [simplify]: Simplified to (- (/ (- (log (* PI 2)) (* k (log (* PI 2)))) 2) (log (sqrt k))) 30.733 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (/ (- (log (* PI 2)) (* k (log (* PI 2)))) 2) (log (sqrt k)))) (pow n (/ (- 1 k) 2)))) 30.733 * * * * [progress]: [ 134 / 201 ] simplifiying candidate # 30.734 * [simplify]: Simplifying (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (- 1 k) 2))) 30.734 * * [simplify]: iters left: 6 (14 enodes) 30.738 * * [simplify]: iters left: 5 (62 enodes) 30.749 * * [simplify]: iters left: 4 (100 enodes) 30.781 * * [simplify]: iters left: 3 (197 enodes) 30.861 * * [simplify]: iters left: 2 (439 enodes) 31.057 * * [simplify]: Extracting #0: cost 1 inf + 0 31.057 * * [simplify]: Extracting #1: cost 26 inf + 0 31.058 * * [simplify]: Extracting #2: cost 93 inf + 1 31.059 * * [simplify]: Extracting #3: cost 159 inf + 4 31.060 * * [simplify]: Extracting #4: cost 167 inf + 1255 31.064 * * [simplify]: Extracting #5: cost 119 inf + 9382 31.076 * * [simplify]: Extracting #6: cost 23 inf + 31760 31.091 * * [simplify]: Extracting #7: cost 0 inf + 37412 31.102 * * [simplify]: Extracting #8: cost 0 inf + 37409 31.111 * [simplify]: Simplified to (- (/ (- (log (* PI 2)) (* k (log (* PI 2)))) 2) (log (sqrt k))) 31.111 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (/ (- (log (* PI 2)) (* k (log (* PI 2)))) 2) (log (sqrt k)))) (pow n (/ (- 1 k) 2)))) 31.111 * * * * [progress]: [ 135 / 201 ] simplifiying candidate # 31.111 * [simplify]: Simplifying (+ (- (log 1) (log (sqrt k))) (log (pow (* 2 PI) (/ (- 1 k) 2)))) 31.111 * * [simplify]: iters left: 6 (14 enodes) 31.116 * * [simplify]: iters left: 5 (61 enodes) 31.130 * * [simplify]: iters left: 4 (99 enodes) 31.147 * * [simplify]: iters left: 3 (198 enodes) 31.214 * * [simplify]: Extracting #0: cost 1 inf + 0 31.214 * * [simplify]: Extracting #1: cost 23 inf + 0 31.215 * * [simplify]: Extracting #2: cost 101 inf + 1 31.215 * * [simplify]: Extracting #3: cost 163 inf + 3 31.216 * * [simplify]: Extracting #4: cost 163 inf + 733 31.218 * * [simplify]: Extracting #5: cost 94 inf + 13027 31.223 * * [simplify]: Extracting #6: cost 12 inf + 35586 31.230 * * [simplify]: Extracting #7: cost 0 inf + 39686 31.238 * [simplify]: Simplified to (- (/ (- 1 k) (/ 2 (log (* PI 2)))) (log (sqrt k))) 31.238 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (/ (- 1 k) (/ 2 (log (* PI 2)))) (log (sqrt k)))) (pow n (/ (- 1 k) 2)))) 31.238 * * * * [progress]: [ 136 / 201 ] simplifiying candidate # 31.238 * [simplify]: Simplifying (+ (log (/ 1 (sqrt k))) (* (+ (log 2) (log PI)) (/ (- 1 k) 2))) 31.238 * * [simplify]: iters left: 6 (14 enodes) 31.243 * * [simplify]: iters left: 5 (59 enodes) 31.252 * * [simplify]: iters left: 4 (91 enodes) 31.281 * * [simplify]: iters left: 3 (169 enodes) 31.326 * * [simplify]: iters left: 2 (340 enodes) 31.451 * * [simplify]: Extracting #0: cost 1 inf + 0 31.451 * * [simplify]: Extracting #1: cost 15 inf + 0 31.451 * * [simplify]: Extracting #2: cost 62 inf + 1 31.452 * * [simplify]: Extracting #3: cost 106 inf + 75 31.452 * * [simplify]: Extracting #4: cost 110 inf + 1783 31.455 * * [simplify]: Extracting #5: cost 32 inf + 18126 31.460 * * [simplify]: Extracting #6: cost 2 inf + 26169 31.470 * * [simplify]: Extracting #7: cost 0 inf + 26645 31.476 * * [simplify]: Extracting #8: cost 0 inf + 26643 31.486 * [simplify]: Simplified to (- (/ (- (+ (log PI) (log 2)) (* k (+ (log PI) (log 2)))) 2) (log (sqrt k))) 31.487 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (/ (- (+ (log PI) (log 2)) (* k (+ (log PI) (log 2)))) 2) (log (sqrt k)))) (pow n (/ (- 1 k) 2)))) 31.487 * * * * [progress]: [ 137 / 201 ] simplifiying candidate # 31.487 * [simplify]: Simplifying (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (- 1 k) 2))) 31.487 * * [simplify]: iters left: 6 (13 enodes) 31.496 * * [simplify]: iters left: 5 (59 enodes) 31.514 * * [simplify]: iters left: 4 (94 enodes) 31.546 * * [simplify]: iters left: 3 (162 enodes) 31.607 * * [simplify]: iters left: 2 (319 enodes) 31.743 * * [simplify]: Extracting #0: cost 1 inf + 0 31.743 * * [simplify]: Extracting #1: cost 15 inf + 0 31.744 * * [simplify]: Extracting #2: cost 62 inf + 1 31.744 * * [simplify]: Extracting #3: cost 108 inf + 186 31.745 * * [simplify]: Extracting #4: cost 111 inf + 1989 31.747 * * [simplify]: Extracting #5: cost 32 inf + 17308 31.752 * * [simplify]: Extracting #6: cost 3 inf + 23659 31.763 * * [simplify]: Extracting #7: cost 0 inf + 24683 31.774 * * [simplify]: Extracting #8: cost 0 inf + 24680 31.785 * [simplify]: Simplified to (- (/ (- (log (* 2 PI)) (* (log (* 2 PI)) k)) 2) (log (sqrt k))) 31.785 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (/ (- (log (* 2 PI)) (* (log (* 2 PI)) k)) 2) (log (sqrt k)))) (pow n (/ (- 1 k) 2)))) 31.785 * * * * [progress]: [ 138 / 201 ] simplifiying candidate # 31.785 * [simplify]: Simplifying (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (- 1 k) 2))) 31.785 * * [simplify]: iters left: 6 (13 enodes) 31.794 * * [simplify]: iters left: 5 (59 enodes) 31.812 * * [simplify]: iters left: 4 (94 enodes) 31.849 * * [simplify]: iters left: 3 (162 enodes) 31.894 * * [simplify]: iters left: 2 (319 enodes) 31.995 * * [simplify]: Extracting #0: cost 1 inf + 0 31.995 * * [simplify]: Extracting #1: cost 15 inf + 0 31.996 * * [simplify]: Extracting #2: cost 62 inf + 1 31.996 * * [simplify]: Extracting #3: cost 108 inf + 186 31.998 * * [simplify]: Extracting #4: cost 111 inf + 1989 32.003 * * [simplify]: Extracting #5: cost 32 inf + 17308 32.009 * * [simplify]: Extracting #6: cost 3 inf + 23659 32.015 * * [simplify]: Extracting #7: cost 0 inf + 24683 32.023 * * [simplify]: Extracting #8: cost 0 inf + 24680 32.031 * [simplify]: Simplified to (- (/ (- (log (* 2 PI)) (* (log (* 2 PI)) k)) 2) (log (sqrt k))) 32.032 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (/ (- (log (* 2 PI)) (* (log (* 2 PI)) k)) 2) (log (sqrt k)))) (pow n (/ (- 1 k) 2)))) 32.032 * * * * [progress]: [ 139 / 201 ] simplifiying candidate # 32.032 * [simplify]: Simplifying (+ (log (/ 1 (sqrt k))) (log (pow (* 2 PI) (/ (- 1 k) 2)))) 32.032 * * [simplify]: iters left: 6 (13 enodes) 32.040 * * [simplify]: iters left: 5 (58 enodes) 32.054 * * [simplify]: iters left: 4 (97 enodes) 32.070 * * [simplify]: iters left: 3 (174 enodes) 32.115 * * [simplify]: iters left: 2 (397 enodes) 32.241 * * [simplify]: Extracting #0: cost 1 inf + 0 32.242 * * [simplify]: Extracting #1: cost 42 inf + 0 32.242 * * [simplify]: Extracting #2: cost 238 inf + 1 32.243 * * [simplify]: Extracting #3: cost 313 inf + 7 32.245 * * [simplify]: Extracting #4: cost 290 inf + 7662 32.253 * * [simplify]: Extracting #5: cost 124 inf + 45468 32.281 * * [simplify]: Extracting #6: cost 17 inf + 83242 32.312 * * [simplify]: Extracting #7: cost 0 inf + 91701 32.330 * [simplify]: Simplified to (- (* (log (* 2 PI)) (/ (- 1 k) 2)) (log (sqrt k))) 32.330 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (* (log (* 2 PI)) (/ (- 1 k) 2)) (log (sqrt k)))) (pow n (/ (- 1 k) 2)))) 32.330 * * * * [progress]: [ 140 / 201 ] simplifiying candidate # 32.330 * * * * [progress]: [ 141 / 201 ] simplifiying candidate # 32.330 * * * * [progress]: [ 142 / 201 ] simplifiying candidate # 32.330 * [simplify]: Simplifying (* (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow (* 2 PI) (/ (- 1 k) 2)))) 32.330 * * [simplify]: iters left: 6 (17 enodes) 32.336 * * [simplify]: iters left: 5 (71 enodes) 32.348 * * [simplify]: iters left: 4 (167 enodes) 32.457 * * [simplify]: Extracting #0: cost 1 inf + 0 32.458 * * [simplify]: Extracting #1: cost 53 inf + 0 32.459 * * [simplify]: Extracting #2: cost 160 inf + 124 32.460 * * [simplify]: Extracting #3: cost 168 inf + 1153 32.464 * * [simplify]: Extracting #4: cost 125 inf + 12153 32.478 * * [simplify]: Extracting #5: cost 34 inf + 52925 32.490 * * [simplify]: Extracting #6: cost 0 inf + 73266 32.503 * * [simplify]: Extracting #7: cost 0 inf + 72993 32.513 * [simplify]: Simplified to (/ (* (* (pow (* PI 2) (/ (- 1 k) 2)) (pow (* PI 2) (/ (- 1 k) 2))) (pow (* PI 2) (/ (- 1 k) 2))) (* k (sqrt k))) 32.513 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (cbrt (/ (* (* (pow (* PI 2) (/ (- 1 k) 2)) (pow (* PI 2) (/ (- 1 k) 2))) (pow (* PI 2) (/ (- 1 k) 2))) (* k (sqrt k)))) (pow n (/ (- 1 k) 2)))) 32.513 * * * * [progress]: [ 143 / 201 ] simplifiying candidate # 32.514 * [simplify]: Simplifying (* (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))) (* (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow (* 2 PI) (/ (- 1 k) 2)))) 32.514 * * [simplify]: iters left: 6 (15 enodes) 32.518 * * [simplify]: iters left: 5 (72 enodes) 32.543 * * [simplify]: iters left: 4 (153 enodes) 32.609 * * [simplify]: iters left: 3 (453 enodes) 32.920 * * [simplify]: Extracting #0: cost 1 inf + 0 32.920 * * [simplify]: Extracting #1: cost 94 inf + 0 32.923 * * [simplify]: Extracting #2: cost 417 inf + 371 32.927 * * [simplify]: Extracting #3: cost 448 inf + 944 32.935 * * [simplify]: Extracting #4: cost 380 inf + 21614 32.966 * * [simplify]: Extracting #5: cost 170 inf + 145444 33.018 * * [simplify]: Extracting #6: cost 9 inf + 260562 33.074 * * [simplify]: Extracting #7: cost 0 inf + 265712 33.151 * [simplify]: Simplified to (* (/ (* (pow (* PI 2) (/ (- 1 k) 4)) (* (pow (* PI 2) (/ (- 1 k) 4)) (pow (* PI 2) (/ (- 1 k) 4)))) (sqrt k)) (/ (* (pow (* PI 2) (/ (- 1 k) 4)) (* (pow (* PI 2) (/ (- 1 k) 4)) (pow (* PI 2) (/ (- 1 k) 4)))) k)) 33.152 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (cbrt (* (/ (* (pow (* PI 2) (/ (- 1 k) 4)) (* (pow (* PI 2) (/ (- 1 k) 4)) (pow (* PI 2) (/ (- 1 k) 4)))) (sqrt k)) (/ (* (pow (* PI 2) (/ (- 1 k) 4)) (* (pow (* PI 2) (/ (- 1 k) 4)) (pow (* PI 2) (/ (- 1 k) 4)))) k))) (pow n (/ (- 1 k) 2)))) 33.152 * * * * [progress]: [ 144 / 201 ] simplifiying candidate # 33.152 * * * * [progress]: [ 145 / 201 ] simplifiying candidate # 33.152 * * * * [progress]: [ 146 / 201 ] simplifiying candidate # 33.152 * * * * [progress]: [ 147 / 201 ] simplifiying candidate # 33.153 * [simplify]: Simplifying (* 1 (pow (* 2 PI) (/ 1 2))) 33.153 * * [simplify]: iters left: 5 (7 enodes) 33.159 * * [simplify]: iters left: 4 (28 enodes) 33.170 * * [simplify]: iters left: 3 (49 enodes) 33.188 * * [simplify]: iters left: 2 (83 enodes) 33.204 * * [simplify]: iters left: 1 (132 enodes) 33.245 * * [simplify]: Extracting #0: cost 1 inf + 0 33.245 * * [simplify]: Extracting #1: cost 14 inf + 0 33.245 * * [simplify]: Extracting #2: cost 36 inf + 2 33.246 * * [simplify]: Extracting #3: cost 33 inf + 8 33.247 * * [simplify]: Extracting #4: cost 24 inf + 2748 33.248 * * [simplify]: Extracting #5: cost 2 inf + 11658 33.250 * * [simplify]: Extracting #6: cost 0 inf + 12877 33.251 * [simplify]: Simplified to (sqrt (* PI 2)) 33.251 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (/ (sqrt (* PI 2)) (* (sqrt k) (pow (* 2 PI) (/ k 2)))) (pow n (/ (- 1 k) 2)))) 33.251 * [simplify]: Simplifying (* (sqrt k) (pow (* 2 PI) (/ k 2))) 33.251 * * [simplify]: iters left: 5 (8 enodes) 33.255 * * [simplify]: iters left: 4 (29 enodes) 33.261 * * [simplify]: iters left: 3 (45 enodes) 33.269 * * [simplify]: iters left: 2 (82 enodes) 33.292 * * [simplify]: iters left: 1 (187 enodes) 33.358 * * [simplify]: Extracting #0: cost 1 inf + 0 33.358 * * [simplify]: Extracting #1: cost 28 inf + 0 33.358 * * [simplify]: Extracting #2: cost 98 inf + 0 33.359 * * [simplify]: Extracting #3: cost 122 inf + 168 33.359 * * [simplify]: Extracting #4: cost 108 inf + 1546 33.361 * * [simplify]: Extracting #5: cost 75 inf + 8561 33.367 * * [simplify]: Extracting #6: cost 9 inf + 46459 33.379 * * [simplify]: Extracting #7: cost 0 inf + 51028 33.386 * [simplify]: Simplified to (* (pow (* 2 PI) (/ k 2)) (sqrt k)) 33.386 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (sqrt (* PI 2)) (* (pow (* 2 PI) (/ k 2)) (sqrt k))) (pow n (/ (- 1 k) 2)))) 33.386 * * * * [progress]: [ 148 / 201 ] simplifiying candidate # 33.386 * * * * [progress]: [ 149 / 201 ] simplifiying candidate # 33.386 * [simplify]: Simplifying (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 33.386 * * [simplify]: iters left: 6 (13 enodes) 33.390 * * [simplify]: iters left: 5 (52 enodes) 33.399 * * [simplify]: iters left: 4 (78 enodes) 33.413 * * [simplify]: iters left: 3 (109 enodes) 33.448 * * [simplify]: iters left: 2 (177 enodes) 33.495 * * [simplify]: iters left: 1 (338 enodes) 33.648 * * [simplify]: Extracting #0: cost 1 inf + 0 33.648 * * [simplify]: Extracting #1: cost 4 inf + 0 33.648 * * [simplify]: Extracting #2: cost 9 inf + 0 33.649 * * [simplify]: Extracting #3: cost 37 inf + 0 33.649 * * [simplify]: Extracting #4: cost 119 inf + 2 33.650 * * [simplify]: Extracting #5: cost 145 inf + 790 33.653 * * [simplify]: Extracting #6: cost 110 inf + 4600 33.661 * * [simplify]: Extracting #7: cost 42 inf + 28576 33.676 * * [simplify]: Extracting #8: cost 1 inf + 59474 33.697 * * [simplify]: Extracting #9: cost 0 inf + 58558 33.715 * * [simplify]: Extracting #10: cost 0 inf + 58308 33.732 * [simplify]: Simplified to (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k)))) 33.732 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k)))) (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (pow n (/ (- 1 k) 2)))) 33.733 * [simplify]: Simplifying (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 33.733 * * [simplify]: iters left: 6 (13 enodes) 33.740 * * [simplify]: iters left: 5 (52 enodes) 33.757 * * [simplify]: iters left: 4 (78 enodes) 33.782 * * [simplify]: iters left: 3 (109 enodes) 33.820 * * [simplify]: iters left: 2 (177 enodes) 33.875 * * [simplify]: iters left: 1 (338 enodes) 34.007 * * [simplify]: Extracting #0: cost 1 inf + 0 34.007 * * [simplify]: Extracting #1: cost 4 inf + 0 34.007 * * [simplify]: Extracting #2: cost 9 inf + 0 34.007 * * [simplify]: Extracting #3: cost 37 inf + 0 34.008 * * [simplify]: Extracting #4: cost 119 inf + 2 34.009 * * [simplify]: Extracting #5: cost 145 inf + 790 34.012 * * [simplify]: Extracting #6: cost 110 inf + 4600 34.019 * * [simplify]: Extracting #7: cost 42 inf + 28576 34.035 * * [simplify]: Extracting #8: cost 1 inf + 59474 34.057 * * [simplify]: Extracting #9: cost 0 inf + 58558 34.071 * * [simplify]: Extracting #10: cost 0 inf + 58308 34.080 * [simplify]: Simplified to (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k)))) 34.080 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k))))) (pow n (/ (- 1 k) 2)))) 34.080 * * * * [progress]: [ 150 / 201 ] simplifiying candidate # 34.080 * [simplify]: Simplifying (* (sqrt (/ 1 (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 34.080 * * [simplify]: iters left: 6 (13 enodes) 34.085 * * [simplify]: iters left: 5 (55 enodes) 34.095 * * [simplify]: iters left: 4 (87 enodes) 34.115 * * [simplify]: iters left: 3 (143 enodes) 34.154 * * [simplify]: iters left: 2 (275 enodes) 34.220 * * [simplify]: Extracting #0: cost 1 inf + 0 34.221 * * [simplify]: Extracting #1: cost 27 inf + 0 34.221 * * [simplify]: Extracting #2: cost 96 inf + 0 34.221 * * [simplify]: Extracting #3: cost 140 inf + 2 34.222 * * [simplify]: Extracting #4: cost 147 inf + 97 34.222 * * [simplify]: Extracting #5: cost 138 inf + 717 34.225 * * [simplify]: Extracting #6: cost 69 inf + 16778 34.242 * * [simplify]: Extracting #7: cost 7 inf + 58053 34.256 * * [simplify]: Extracting #8: cost 0 inf + 61479 34.267 * * [simplify]: Extracting #9: cost 0 inf + 61234 34.275 * * [simplify]: Extracting #10: cost 0 inf + 61154 34.287 * * [simplify]: Extracting #11: cost 0 inf + 61115 34.304 * [simplify]: Simplified to (* (pow (* 2 PI) (/ (- 1 k) 4)) (sqrt (/ 1 (sqrt k)))) 34.305 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (* (pow (* 2 PI) (/ (- 1 k) 4)) (sqrt (/ 1 (sqrt k)))) (* (sqrt (/ 1 (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (pow n (/ (- 1 k) 2)))) 34.305 * [simplify]: Simplifying (* (sqrt (/ 1 (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 34.305 * * [simplify]: iters left: 6 (13 enodes) 34.313 * * [simplify]: iters left: 5 (55 enodes) 34.332 * * [simplify]: iters left: 4 (87 enodes) 34.350 * * [simplify]: iters left: 3 (143 enodes) 34.381 * * [simplify]: iters left: 2 (275 enodes) 34.495 * * [simplify]: Extracting #0: cost 1 inf + 0 34.495 * * [simplify]: Extracting #1: cost 27 inf + 0 34.495 * * [simplify]: Extracting #2: cost 96 inf + 0 34.495 * * [simplify]: Extracting #3: cost 140 inf + 2 34.496 * * [simplify]: Extracting #4: cost 147 inf + 97 34.496 * * [simplify]: Extracting #5: cost 138 inf + 717 34.499 * * [simplify]: Extracting #6: cost 69 inf + 16778 34.506 * * [simplify]: Extracting #7: cost 7 inf + 58053 34.515 * * [simplify]: Extracting #8: cost 0 inf + 61479 34.524 * * [simplify]: Extracting #9: cost 0 inf + 61234 34.540 * * [simplify]: Extracting #10: cost 0 inf + 61154 34.557 * * [simplify]: Extracting #11: cost 0 inf + 61115 34.575 * [simplify]: Simplified to (* (pow (* 2 PI) (/ (- 1 k) 4)) (sqrt (/ 1 (sqrt k)))) 34.575 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (* (sqrt (/ 1 (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (- 1 k) 4)) (sqrt (/ 1 (sqrt k))))) (pow n (/ (- 1 k) 2)))) 34.575 * * * * [progress]: [ 151 / 201 ] simplifiying candidate # 34.575 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 34.576 * * [simplify]: iters left: 6 (14 enodes) 34.584 * * [simplify]: iters left: 5 (57 enodes) 34.606 * * [simplify]: iters left: 4 (89 enodes) 34.635 * * [simplify]: iters left: 3 (129 enodes) 34.676 * * [simplify]: iters left: 2 (202 enodes) 34.753 * * [simplify]: iters left: 1 (363 enodes) 34.908 * * [simplify]: Extracting #0: cost 1 inf + 0 34.909 * * [simplify]: Extracting #1: cost 7 inf + 0 34.909 * * [simplify]: Extracting #2: cost 13 inf + 1 34.909 * * [simplify]: Extracting #3: cost 38 inf + 1 34.910 * * [simplify]: Extracting #4: cost 109 inf + 328 34.911 * * [simplify]: Extracting #5: cost 135 inf + 624 34.913 * * [simplify]: Extracting #6: cost 103 inf + 4353 34.923 * * [simplify]: Extracting #7: cost 27 inf + 30720 34.939 * * [simplify]: Extracting #8: cost 0 inf + 51493 34.950 * * [simplify]: Extracting #9: cost 0 inf + 50731 34.959 * * [simplify]: Extracting #10: cost 0 inf + 50651 34.970 * [simplify]: Simplified to (/ (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (sqrt (sqrt k))) 34.970 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (pow n (/ (- 1 k) 2)))) 34.970 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 34.970 * * [simplify]: iters left: 6 (14 enodes) 34.977 * * [simplify]: iters left: 5 (57 enodes) 34.996 * * [simplify]: iters left: 4 (89 enodes) 35.023 * * [simplify]: iters left: 3 (129 enodes) 35.051 * * [simplify]: iters left: 2 (202 enodes) 35.094 * * [simplify]: iters left: 1 (363 enodes) 35.215 * * [simplify]: Extracting #0: cost 1 inf + 0 35.215 * * [simplify]: Extracting #1: cost 7 inf + 0 35.215 * * [simplify]: Extracting #2: cost 13 inf + 1 35.215 * * [simplify]: Extracting #3: cost 38 inf + 1 35.216 * * [simplify]: Extracting #4: cost 109 inf + 328 35.216 * * [simplify]: Extracting #5: cost 135 inf + 624 35.218 * * [simplify]: Extracting #6: cost 103 inf + 4353 35.222 * * [simplify]: Extracting #7: cost 27 inf + 30720 35.231 * * [simplify]: Extracting #8: cost 0 inf + 51493 35.239 * * [simplify]: Extracting #9: cost 0 inf + 50731 35.254 * * [simplify]: Extracting #10: cost 0 inf + 50651 35.268 * [simplify]: Simplified to (/ (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (sqrt (sqrt k))) 35.268 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) (/ (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (sqrt (sqrt k)))) (pow n (/ (- 1 k) 2)))) 35.268 * * * * [progress]: [ 152 / 201 ] simplifiying candidate # 35.269 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 35.269 * * [simplify]: iters left: 6 (14 enodes) 35.274 * * [simplify]: iters left: 5 (60 enodes) 35.284 * * [simplify]: iters left: 4 (96 enodes) 35.307 * * [simplify]: iters left: 3 (165 enodes) 35.370 * * [simplify]: iters left: 2 (349 enodes) 35.520 * * [simplify]: Extracting #0: cost 1 inf + 0 35.520 * * [simplify]: Extracting #1: cost 39 inf + 0 35.521 * * [simplify]: Extracting #2: cost 106 inf + 1 35.522 * * [simplify]: Extracting #3: cost 151 inf + 3 35.523 * * [simplify]: Extracting #4: cost 155 inf + 300 35.527 * * [simplify]: Extracting #5: cost 104 inf + 10911 35.541 * * [simplify]: Extracting #6: cost 31 inf + 41697 35.562 * * [simplify]: Extracting #7: cost 0 inf + 66671 35.583 * * [simplify]: Extracting #8: cost 0 inf + 66351 35.605 * * [simplify]: Extracting #9: cost 0 inf + 66311 35.619 * [simplify]: Simplified to (/ (pow (* PI 2) (/ (- 1 k) 4)) (sqrt (sqrt k))) 35.619 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ (pow (* PI 2) (/ (- 1 k) 4)) (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (pow n (/ (- 1 k) 2)))) 35.620 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 35.620 * * [simplify]: iters left: 6 (14 enodes) 35.628 * * [simplify]: iters left: 5 (60 enodes) 35.638 * * [simplify]: iters left: 4 (96 enodes) 35.655 * * [simplify]: iters left: 3 (165 enodes) 35.700 * * [simplify]: iters left: 2 (349 enodes) 35.829 * * [simplify]: Extracting #0: cost 1 inf + 0 35.829 * * [simplify]: Extracting #1: cost 39 inf + 0 35.830 * * [simplify]: Extracting #2: cost 106 inf + 1 35.831 * * [simplify]: Extracting #3: cost 151 inf + 3 35.832 * * [simplify]: Extracting #4: cost 155 inf + 300 35.835 * * [simplify]: Extracting #5: cost 104 inf + 10911 35.847 * * [simplify]: Extracting #6: cost 31 inf + 41697 35.857 * * [simplify]: Extracting #7: cost 0 inf + 66671 35.868 * * [simplify]: Extracting #8: cost 0 inf + 66351 35.884 * * [simplify]: Extracting #9: cost 0 inf + 66311 35.905 * [simplify]: Simplified to (/ (pow (* PI 2) (/ (- 1 k) 4)) (sqrt (sqrt k))) 35.905 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (/ (pow (* PI 2) (/ (- 1 k) 4)) (sqrt (sqrt k)))) (pow n (/ (- 1 k) 2)))) 35.905 * * * * [progress]: [ 153 / 201 ] simplifiying candidate # 35.906 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 35.906 * * [simplify]: iters left: 6 (14 enodes) 35.914 * * [simplify]: iters left: 5 (57 enodes) 35.933 * * [simplify]: iters left: 4 (89 enodes) 35.961 * * [simplify]: iters left: 3 (129 enodes) 35.984 * * [simplify]: iters left: 2 (202 enodes) 36.041 * * [simplify]: iters left: 1 (363 enodes) 36.163 * * [simplify]: Extracting #0: cost 1 inf + 0 36.163 * * [simplify]: Extracting #1: cost 7 inf + 0 36.163 * * [simplify]: Extracting #2: cost 13 inf + 1 36.163 * * [simplify]: Extracting #3: cost 38 inf + 1 36.164 * * [simplify]: Extracting #4: cost 109 inf + 328 36.165 * * [simplify]: Extracting #5: cost 135 inf + 624 36.167 * * [simplify]: Extracting #6: cost 103 inf + 4353 36.176 * * [simplify]: Extracting #7: cost 27 inf + 30720 36.192 * * [simplify]: Extracting #8: cost 0 inf + 51493 36.209 * * [simplify]: Extracting #9: cost 0 inf + 50731 36.225 * * [simplify]: Extracting #10: cost 0 inf + 50651 36.241 * [simplify]: Simplified to (/ (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (sqrt (sqrt k))) 36.241 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (pow n (/ (- 1 k) 2)))) 36.241 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 36.241 * * [simplify]: iters left: 6 (14 enodes) 36.250 * * [simplify]: iters left: 5 (57 enodes) 36.273 * * [simplify]: iters left: 4 (89 enodes) 36.301 * * [simplify]: iters left: 3 (129 enodes) 36.338 * * [simplify]: iters left: 2 (202 enodes) 36.394 * * [simplify]: iters left: 1 (363 enodes) 36.521 * * [simplify]: Extracting #0: cost 1 inf + 0 36.521 * * [simplify]: Extracting #1: cost 7 inf + 0 36.521 * * [simplify]: Extracting #2: cost 13 inf + 1 36.521 * * [simplify]: Extracting #3: cost 38 inf + 1 36.522 * * [simplify]: Extracting #4: cost 109 inf + 328 36.523 * * [simplify]: Extracting #5: cost 135 inf + 624 36.525 * * [simplify]: Extracting #6: cost 103 inf + 4353 36.533 * * [simplify]: Extracting #7: cost 27 inf + 30720 36.541 * * [simplify]: Extracting #8: cost 0 inf + 51493 36.550 * * [simplify]: Extracting #9: cost 0 inf + 50731 36.558 * * [simplify]: Extracting #10: cost 0 inf + 50651 36.572 * [simplify]: Simplified to (/ (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (sqrt (sqrt k))) 36.572 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) (/ (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (sqrt (sqrt k)))) (pow n (/ (- 1 k) 2)))) 36.572 * * * * [progress]: [ 154 / 201 ] simplifiying candidate # 36.576 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 36.576 * * [simplify]: iters left: 6 (14 enodes) 36.585 * * [simplify]: iters left: 5 (60 enodes) 36.605 * * [simplify]: iters left: 4 (96 enodes) 36.637 * * [simplify]: iters left: 3 (165 enodes) 36.684 * * [simplify]: iters left: 2 (349 enodes) 36.844 * * [simplify]: Extracting #0: cost 1 inf + 0 36.844 * * [simplify]: Extracting #1: cost 39 inf + 0 36.845 * * [simplify]: Extracting #2: cost 106 inf + 1 36.846 * * [simplify]: Extracting #3: cost 151 inf + 3 36.847 * * [simplify]: Extracting #4: cost 155 inf + 300 36.851 * * [simplify]: Extracting #5: cost 104 inf + 10911 36.865 * * [simplify]: Extracting #6: cost 31 inf + 41697 36.885 * * [simplify]: Extracting #7: cost 0 inf + 66671 36.904 * * [simplify]: Extracting #8: cost 0 inf + 66351 36.914 * * [simplify]: Extracting #9: cost 0 inf + 66311 36.925 * [simplify]: Simplified to (/ (pow (* PI 2) (/ (- 1 k) 4)) (sqrt (sqrt k))) 36.925 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ (pow (* PI 2) (/ (- 1 k) 4)) (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (pow n (/ (- 1 k) 2)))) 36.925 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 36.925 * * [simplify]: iters left: 6 (14 enodes) 36.930 * * [simplify]: iters left: 5 (60 enodes) 36.949 * * [simplify]: iters left: 4 (96 enodes) 36.982 * * [simplify]: iters left: 3 (165 enodes) 37.048 * * [simplify]: iters left: 2 (349 enodes) 37.185 * * [simplify]: Extracting #0: cost 1 inf + 0 37.186 * * [simplify]: Extracting #1: cost 39 inf + 0 37.186 * * [simplify]: Extracting #2: cost 106 inf + 1 37.191 * * [simplify]: Extracting #3: cost 151 inf + 3 37.192 * * [simplify]: Extracting #4: cost 155 inf + 300 37.196 * * [simplify]: Extracting #5: cost 104 inf + 10911 37.210 * * [simplify]: Extracting #6: cost 31 inf + 41697 37.231 * * [simplify]: Extracting #7: cost 0 inf + 66671 37.252 * * [simplify]: Extracting #8: cost 0 inf + 66351 37.274 * * [simplify]: Extracting #9: cost 0 inf + 66311 37.295 * [simplify]: Simplified to (/ (pow (* PI 2) (/ (- 1 k) 4)) (sqrt (sqrt k))) 37.295 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (/ (pow (* PI 2) (/ (- 1 k) 4)) (sqrt (sqrt k)))) (pow n (/ (- 1 k) 2)))) 37.295 * * * * [progress]: [ 155 / 201 ] simplifiying candidate # 37.295 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 37.296 * * [simplify]: iters left: 6 (13 enodes) 37.303 * * [simplify]: iters left: 5 (54 enodes) 37.313 * * [simplify]: iters left: 4 (84 enodes) 37.330 * * [simplify]: iters left: 3 (129 enodes) 37.367 * * [simplify]: iters left: 2 (198 enodes) 37.429 * * [simplify]: iters left: 1 (351 enodes) 37.540 * * [simplify]: Extracting #0: cost 1 inf + 0 37.541 * * [simplify]: Extracting #1: cost 7 inf + 0 37.541 * * [simplify]: Extracting #2: cost 13 inf + 1 37.541 * * [simplify]: Extracting #3: cost 44 inf + 1 37.541 * * [simplify]: Extracting #4: cost 124 inf + 3 37.543 * * [simplify]: Extracting #5: cost 137 inf + 751 37.549 * * [simplify]: Extracting #6: cost 71 inf + 20913 37.566 * * [simplify]: Extracting #7: cost 3 inf + 54867 37.591 * * [simplify]: Extracting #8: cost 0 inf + 52570 37.616 * * [simplify]: Extracting #9: cost 0 inf + 52439 37.638 * [simplify]: Simplified to (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt (sqrt k))) 37.638 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (pow n (/ (- 1 k) 2)))) 37.639 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 37.639 * * [simplify]: iters left: 6 (13 enodes) 37.643 * * [simplify]: iters left: 5 (54 enodes) 37.653 * * [simplify]: iters left: 4 (84 enodes) 37.670 * * [simplify]: iters left: 3 (129 enodes) 37.692 * * [simplify]: iters left: 2 (198 enodes) 37.740 * * [simplify]: iters left: 1 (351 enodes) 37.879 * * [simplify]: Extracting #0: cost 1 inf + 0 37.879 * * [simplify]: Extracting #1: cost 7 inf + 0 37.879 * * [simplify]: Extracting #2: cost 13 inf + 1 37.879 * * [simplify]: Extracting #3: cost 44 inf + 1 37.879 * * [simplify]: Extracting #4: cost 124 inf + 3 37.880 * * [simplify]: Extracting #5: cost 137 inf + 751 37.883 * * [simplify]: Extracting #6: cost 71 inf + 20913 37.892 * * [simplify]: Extracting #7: cost 3 inf + 54867 37.914 * * [simplify]: Extracting #8: cost 0 inf + 52570 37.939 * * [simplify]: Extracting #9: cost 0 inf + 52439 37.964 * [simplify]: Simplified to (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt (sqrt k))) 37.964 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt (sqrt k)))) (pow n (/ (- 1 k) 2)))) 37.964 * * * * [progress]: [ 156 / 201 ] simplifiying candidate # 37.964 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 37.964 * * [simplify]: iters left: 6 (13 enodes) 37.972 * * [simplify]: iters left: 5 (57 enodes) 37.992 * * [simplify]: iters left: 4 (95 enodes) 38.030 * * [simplify]: iters left: 3 (174 enodes) 38.104 * * [simplify]: iters left: 2 (345 enodes) 38.228 * * [simplify]: Extracting #0: cost 1 inf + 0 38.228 * * [simplify]: Extracting #1: cost 39 inf + 0 38.229 * * [simplify]: Extracting #2: cost 122 inf + 1 38.230 * * [simplify]: Extracting #3: cost 171 inf + 3 38.231 * * [simplify]: Extracting #4: cost 169 inf + 633 38.236 * * [simplify]: Extracting #5: cost 107 inf + 15123 38.252 * * [simplify]: Extracting #6: cost 17 inf + 66299 38.275 * * [simplify]: Extracting #7: cost 0 inf + 79813 38.294 * * [simplify]: Extracting #8: cost 0 inf + 78715 38.306 * * [simplify]: Extracting #9: cost 0 inf + 78714 38.320 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 4)) (sqrt (sqrt k))) 38.320 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ (pow (* 2 PI) (/ (- 1 k) 4)) (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (pow n (/ (- 1 k) 2)))) 38.320 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 38.320 * * [simplify]: iters left: 6 (13 enodes) 38.328 * * [simplify]: iters left: 5 (57 enodes) 38.351 * * [simplify]: iters left: 4 (95 enodes) 38.385 * * [simplify]: iters left: 3 (174 enodes) 38.433 * * [simplify]: iters left: 2 (345 enodes) 38.565 * * [simplify]: Extracting #0: cost 1 inf + 0 38.565 * * [simplify]: Extracting #1: cost 39 inf + 0 38.565 * * [simplify]: Extracting #2: cost 122 inf + 1 38.566 * * [simplify]: Extracting #3: cost 171 inf + 3 38.567 * * [simplify]: Extracting #4: cost 169 inf + 633 38.569 * * [simplify]: Extracting #5: cost 107 inf + 15123 38.577 * * [simplify]: Extracting #6: cost 17 inf + 66299 38.589 * * [simplify]: Extracting #7: cost 0 inf + 79813 38.605 * * [simplify]: Extracting #8: cost 0 inf + 78715 38.625 * * [simplify]: Extracting #9: cost 0 inf + 78714 38.639 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 4)) (sqrt (sqrt k))) 38.639 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (* (/ 1 (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (/ (pow (* 2 PI) (/ (- 1 k) 4)) (sqrt (sqrt k)))) (pow n (/ (- 1 k) 2)))) 38.639 * * * * [progress]: [ 157 / 201 ] simplifiying candidate # 38.639 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 38.639 * * [simplify]: iters left: 6 (13 enodes) 38.643 * * [simplify]: iters left: 5 (54 enodes) 38.657 * * [simplify]: iters left: 4 (84 enodes) 38.683 * * [simplify]: iters left: 3 (129 enodes) 38.705 * * [simplify]: iters left: 2 (198 enodes) 38.775 * * [simplify]: iters left: 1 (351 enodes) 38.914 * * [simplify]: Extracting #0: cost 1 inf + 0 38.914 * * [simplify]: Extracting #1: cost 7 inf + 0 38.914 * * [simplify]: Extracting #2: cost 13 inf + 1 38.915 * * [simplify]: Extracting #3: cost 44 inf + 1 38.915 * * [simplify]: Extracting #4: cost 124 inf + 3 38.917 * * [simplify]: Extracting #5: cost 137 inf + 751 38.922 * * [simplify]: Extracting #6: cost 71 inf + 20913 38.940 * * [simplify]: Extracting #7: cost 3 inf + 54867 38.960 * * [simplify]: Extracting #8: cost 0 inf + 52570 38.973 * * [simplify]: Extracting #9: cost 0 inf + 52439 38.991 * [simplify]: Simplified to (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt (sqrt k))) 38.991 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (pow n (/ (- 1 k) 2)))) 38.991 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 38.992 * * [simplify]: iters left: 6 (13 enodes) 38.999 * * [simplify]: iters left: 5 (54 enodes) 39.018 * * [simplify]: iters left: 4 (84 enodes) 39.045 * * [simplify]: iters left: 3 (129 enodes) 39.068 * * [simplify]: iters left: 2 (198 enodes) 39.135 * * [simplify]: iters left: 1 (351 enodes) 39.273 * * [simplify]: Extracting #0: cost 1 inf + 0 39.273 * * [simplify]: Extracting #1: cost 7 inf + 0 39.273 * * [simplify]: Extracting #2: cost 13 inf + 1 39.273 * * [simplify]: Extracting #3: cost 44 inf + 1 39.274 * * [simplify]: Extracting #4: cost 124 inf + 3 39.275 * * [simplify]: Extracting #5: cost 137 inf + 751 39.281 * * [simplify]: Extracting #6: cost 71 inf + 20913 39.298 * * [simplify]: Extracting #7: cost 3 inf + 54867 39.321 * * [simplify]: Extracting #8: cost 0 inf + 52570 39.346 * * [simplify]: Extracting #9: cost 0 inf + 52439 39.373 * [simplify]: Simplified to (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt (sqrt k))) 39.374 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt (sqrt k)))) (pow n (/ (- 1 k) 2)))) 39.374 * * * * [progress]: [ 158 / 201 ] simplifiying candidate # 39.374 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 39.374 * * [simplify]: iters left: 6 (13 enodes) 39.382 * * [simplify]: iters left: 5 (57 enodes) 39.402 * * [simplify]: iters left: 4 (95 enodes) 39.437 * * [simplify]: iters left: 3 (174 enodes) 39.509 * * [simplify]: iters left: 2 (345 enodes) 39.635 * * [simplify]: Extracting #0: cost 1 inf + 0 39.635 * * [simplify]: Extracting #1: cost 39 inf + 0 39.636 * * [simplify]: Extracting #2: cost 122 inf + 1 39.638 * * [simplify]: Extracting #3: cost 171 inf + 3 39.639 * * [simplify]: Extracting #4: cost 169 inf + 633 39.643 * * [simplify]: Extracting #5: cost 107 inf + 15123 39.660 * * [simplify]: Extracting #6: cost 17 inf + 66299 39.676 * * [simplify]: Extracting #7: cost 0 inf + 79813 39.691 * * [simplify]: Extracting #8: cost 0 inf + 78715 39.702 * * [simplify]: Extracting #9: cost 0 inf + 78714 39.716 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 4)) (sqrt (sqrt k))) 39.716 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ (pow (* 2 PI) (/ (- 1 k) 4)) (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (pow n (/ (- 1 k) 2)))) 39.717 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 39.717 * * [simplify]: iters left: 6 (13 enodes) 39.724 * * [simplify]: iters left: 5 (57 enodes) 39.744 * * [simplify]: iters left: 4 (95 enodes) 39.781 * * [simplify]: iters left: 3 (174 enodes) 39.851 * * [simplify]: iters left: 2 (345 enodes) 39.971 * * [simplify]: Extracting #0: cost 1 inf + 0 39.971 * * [simplify]: Extracting #1: cost 39 inf + 0 39.972 * * [simplify]: Extracting #2: cost 122 inf + 1 39.972 * * [simplify]: Extracting #3: cost 171 inf + 3 39.973 * * [simplify]: Extracting #4: cost 169 inf + 633 39.975 * * [simplify]: Extracting #5: cost 107 inf + 15123 39.983 * * [simplify]: Extracting #6: cost 17 inf + 66299 39.999 * * [simplify]: Extracting #7: cost 0 inf + 79813 40.011 * * [simplify]: Extracting #8: cost 0 inf + 78715 40.025 * * [simplify]: Extracting #9: cost 0 inf + 78714 40.037 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 4)) (sqrt (sqrt k))) 40.037 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (* (/ 1 (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (/ (pow (* 2 PI) (/ (- 1 k) 4)) (sqrt (sqrt k)))) (pow n (/ (- 1 k) 2)))) 40.037 * * * * [progress]: [ 159 / 201 ] simplifiying candidate # 40.037 * [simplify]: Simplifying (pow PI (/ (- 1 k) 2)) 40.037 * * [simplify]: iters left: 5 (7 enodes) 40.040 * * [simplify]: iters left: 4 (32 enodes) 40.046 * * [simplify]: iters left: 3 (57 enodes) 40.056 * * [simplify]: iters left: 2 (88 enodes) 40.085 * * [simplify]: iters left: 1 (156 enodes) 40.131 * * [simplify]: Extracting #0: cost 1 inf + 0 40.131 * * [simplify]: Extracting #1: cost 13 inf + 0 40.132 * * [simplify]: Extracting #2: cost 49 inf + 2 40.132 * * [simplify]: Extracting #3: cost 80 inf + 6 40.133 * * [simplify]: Extracting #4: cost 58 inf + 1840 40.134 * * [simplify]: Extracting #5: cost 22 inf + 9206 40.137 * * [simplify]: Extracting #6: cost 1 inf + 20886 40.140 * * [simplify]: Extracting #7: cost 0 inf + 21301 40.143 * * [simplify]: Extracting #8: cost 0 inf + 21130 40.146 * [simplify]: Simplified to (pow PI (/ (- 1 k) 2)) 40.146 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (* (/ 1 (sqrt k)) (pow 2 (/ (- 1 k) 2))) (pow PI (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 40.146 * * * * [progress]: [ 160 / 201 ] simplifiying candidate # 40.146 * [simplify]: Simplifying (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) 40.146 * * [simplify]: iters left: 6 (9 enodes) 40.149 * * [simplify]: iters left: 5 (39 enodes) 40.159 * * [simplify]: iters left: 4 (60 enodes) 40.178 * * [simplify]: iters left: 3 (96 enodes) 40.217 * * [simplify]: iters left: 2 (184 enodes) 40.286 * * [simplify]: iters left: 1 (344 enodes) 40.405 * * [simplify]: Extracting #0: cost 1 inf + 0 40.405 * * [simplify]: Extracting #1: cost 3 inf + 0 40.405 * * [simplify]: Extracting #2: cost 27 inf + 0 40.406 * * [simplify]: Extracting #3: cost 100 inf + 1 40.406 * * [simplify]: Extracting #4: cost 153 inf + 92 40.407 * * [simplify]: Extracting #5: cost 149 inf + 557 40.409 * * [simplify]: Extracting #6: cost 68 inf + 14295 40.416 * * [simplify]: Extracting #7: cost 18 inf + 42650 40.431 * * [simplify]: Extracting #8: cost 0 inf + 57251 40.448 * * [simplify]: Extracting #9: cost 0 inf + 56019 40.464 * * [simplify]: Extracting #10: cost 0 inf + 55386 40.481 * [simplify]: Simplified to (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) 40.481 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (* (/ 1 (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2)))) 40.481 * * * * [progress]: [ 161 / 201 ] simplifiying candidate # 40.482 * [simplify]: Simplifying (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) 40.482 * * [simplify]: iters left: 6 (9 enodes) 40.488 * * [simplify]: iters left: 5 (39 enodes) 40.500 * * [simplify]: iters left: 4 (61 enodes) 40.524 * * [simplify]: iters left: 3 (97 enodes) 40.560 * * [simplify]: iters left: 2 (185 enodes) 40.627 * * [simplify]: iters left: 1 (343 enodes) 40.751 * * [simplify]: Extracting #0: cost 1 inf + 0 40.752 * * [simplify]: Extracting #1: cost 4 inf + 0 40.752 * * [simplify]: Extracting #2: cost 33 inf + 0 40.752 * * [simplify]: Extracting #3: cost 113 inf + 1 40.753 * * [simplify]: Extracting #4: cost 159 inf + 94 40.753 * * [simplify]: Extracting #5: cost 159 inf + 101 40.754 * * [simplify]: Extracting #6: cost 120 inf + 3156 40.758 * * [simplify]: Extracting #7: cost 45 inf + 30745 40.766 * * [simplify]: Extracting #8: cost 4 inf + 57089 40.775 * * [simplify]: Extracting #9: cost 0 inf + 57963 40.784 * [simplify]: Simplified to (fabs (pow (* 2 PI) (- 1/4 (/ k 4)))) 40.784 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (* (/ 1 (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) (fabs (pow (* 2 PI) (- 1/4 (/ k 4))))) (pow n (/ (- 1 k) 2)))) 40.785 * * * * [progress]: [ 162 / 201 ] simplifiying candidate # 40.785 * [simplify]: Simplifying (pow (* 2 PI) (/ (- 1 k) 2)) 40.785 * * [simplify]: iters left: 5 (8 enodes) 40.787 * * [simplify]: iters left: 4 (36 enodes) 40.794 * * [simplify]: iters left: 3 (57 enodes) 40.806 * * [simplify]: iters left: 2 (90 enodes) 40.843 * * [simplify]: iters left: 1 (176 enodes) 40.887 * * [simplify]: Extracting #0: cost 1 inf + 0 40.887 * * [simplify]: Extracting #1: cost 13 inf + 0 40.887 * * [simplify]: Extracting #2: cost 55 inf + 1 40.888 * * [simplify]: Extracting #3: cost 86 inf + 6 40.888 * * [simplify]: Extracting #4: cost 68 inf + 2553 40.890 * * [simplify]: Extracting #5: cost 24 inf + 10048 40.892 * * [simplify]: Extracting #6: cost 3 inf + 21580 40.896 * * [simplify]: Extracting #7: cost 0 inf + 23439 40.900 * [simplify]: Simplified to (pow (* 2 PI) (/ (- 1 k) 2)) 40.900 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (* (/ 1 (sqrt k)) 1) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 40.900 * * * * [progress]: [ 163 / 201 ] simplifiying candidate # 40.900 * [simplify]: Simplifying (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) 40.900 * * [simplify]: iters left: 6 (9 enodes) 40.903 * * [simplify]: iters left: 5 (42 enodes) 40.911 * * [simplify]: iters left: 4 (70 enodes) 40.928 * * [simplify]: iters left: 3 (117 enodes) 40.953 * * [simplify]: iters left: 2 (232 enodes) 41.038 * * [simplify]: iters left: 1 (452 enodes) 41.218 * * [simplify]: Extracting #0: cost 1 inf + 0 41.218 * * [simplify]: Extracting #1: cost 24 inf + 0 41.219 * * [simplify]: Extracting #2: cost 94 inf + 1 41.219 * * [simplify]: Extracting #3: cost 164 inf + 94 41.220 * * [simplify]: Extracting #4: cost 174 inf + 187 41.222 * * [simplify]: Extracting #5: cost 104 inf + 8023 41.227 * * [simplify]: Extracting #6: cost 33 inf + 28456 41.236 * * [simplify]: Extracting #7: cost 0 inf + 52800 41.249 * * [simplify]: Extracting #8: cost 0 inf + 51842 41.267 * [simplify]: Simplified to (pow (* 2 PI) (- 1/4 (/ k 4))) 41.267 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (- 1/4 (/ k 4)))) (pow n (/ (- 1 k) 2)))) 41.267 * * * * [progress]: [ 164 / 201 ] simplifiying candidate # 41.267 * [simplify]: Simplifying (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) 41.267 * * [simplify]: iters left: 6 (6 enodes) 41.271 * * [simplify]: iters left: 5 (20 enodes) 41.277 * * [simplify]: iters left: 4 (22 enodes) 41.288 * * [simplify]: Extracting #0: cost 1 inf + 0 41.288 * * [simplify]: Extracting #1: cost 3 inf + 0 41.288 * * [simplify]: Extracting #2: cost 5 inf + 0 41.288 * * [simplify]: Extracting #3: cost 8 inf + 0 41.288 * * [simplify]: Extracting #4: cost 9 inf + 1 41.288 * * [simplify]: Extracting #5: cost 8 inf + 2 41.288 * * [simplify]: Extracting #6: cost 1 inf + 774 41.288 * * [simplify]: Extracting #7: cost 0 inf + 976 41.289 * [simplify]: Simplified to (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) 41.289 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (* (cbrt (/ 1 (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2)))) 41.289 * * * * [progress]: [ 165 / 201 ] simplifiying candidate # 41.289 * [simplify]: Simplifying (sqrt (/ 1 (sqrt k))) 41.289 * * [simplify]: iters left: 4 (5 enodes) 41.292 * * [simplify]: iters left: 3 (17 enodes) 41.297 * * [simplify]: iters left: 2 (19 enodes) 41.303 * * [simplify]: Extracting #0: cost 1 inf + 0 41.303 * * [simplify]: Extracting #1: cost 3 inf + 0 41.303 * * [simplify]: Extracting #2: cost 6 inf + 0 41.303 * * [simplify]: Extracting #3: cost 7 inf + 1 41.303 * * [simplify]: Extracting #4: cost 0 inf + 492 41.303 * [simplify]: Simplified to (sqrt (/ 1 (sqrt k))) 41.304 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2)))) 41.304 * * * * [progress]: [ 166 / 201 ] simplifiying candidate # 41.304 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 41.304 * * [simplify]: iters left: 6 (8 enodes) 41.309 * * [simplify]: iters left: 5 (32 enodes) 41.317 * * [simplify]: iters left: 4 (48 enodes) 41.325 * * [simplify]: iters left: 3 (76 enodes) 41.338 * * [simplify]: iters left: 2 (81 enodes) 41.345 * * [simplify]: Extracting #0: cost 1 inf + 0 41.345 * * [simplify]: Extracting #1: cost 6 inf + 0 41.345 * * [simplify]: Extracting #2: cost 9 inf + 1 41.345 * * [simplify]: Extracting #3: cost 11 inf + 1 41.345 * * [simplify]: Extracting #4: cost 2 inf + 1052 41.345 * * [simplify]: Extracting #5: cost 0 inf + 1376 41.346 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 41.346 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ (cbrt 1) (cbrt (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2)))) 41.346 * * * * [progress]: [ 167 / 201 ] simplifiying candidate # 41.346 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) 41.346 * * [simplify]: iters left: 6 (8 enodes) 41.350 * * [simplify]: iters left: 5 (29 enodes) 41.359 * * [simplify]: iters left: 4 (31 enodes) 41.367 * * [simplify]: Extracting #0: cost 1 inf + 0 41.367 * * [simplify]: Extracting #1: cost 4 inf + 0 41.367 * * [simplify]: Extracting #2: cost 6 inf + 1 41.367 * * [simplify]: Extracting #3: cost 9 inf + 1 41.367 * * [simplify]: Extracting #4: cost 8 inf + 2 41.368 * * [simplify]: Extracting #5: cost 2 inf + 729 41.368 * * [simplify]: Extracting #6: cost 0 inf + 972 41.368 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 41.368 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (* (/ (cbrt 1) (sqrt (cbrt k))) (pow (* 2 PI) (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2)))) 41.368 * * * * [progress]: [ 168 / 201 ] simplifiying candidate # 41.369 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 41.369 * * [simplify]: iters left: 5 (7 enodes) 41.373 * * [simplify]: iters left: 4 (25 enodes) 41.381 * * [simplify]: iters left: 3 (27 enodes) 41.388 * * [simplify]: Extracting #0: cost 1 inf + 0 41.388 * * [simplify]: Extracting #1: cost 4 inf + 0 41.388 * * [simplify]: Extracting #2: cost 5 inf + 1 41.388 * * [simplify]: Extracting #3: cost 7 inf + 1 41.388 * * [simplify]: Extracting #4: cost 6 inf + 2 41.388 * * [simplify]: Extracting #5: cost 2 inf + 368 41.388 * * [simplify]: Extracting #6: cost 0 inf + 490 41.389 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 41.389 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (* (/ (cbrt 1) (sqrt (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2)))) 41.389 * * * * [progress]: [ 169 / 201 ] simplifiying candidate # 41.389 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) 41.389 * * [simplify]: iters left: 5 (5 enodes) 41.398 * * [simplify]: iters left: 4 (19 enodes) 41.403 * * [simplify]: iters left: 3 (21 enodes) 41.408 * * [simplify]: Extracting #0: cost 1 inf + 0 41.408 * * [simplify]: Extracting #1: cost 0 inf + 1 41.408 * [simplify]: Simplified to 1 41.408 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (* (/ (cbrt 1) (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2)))) 41.408 * * * * [progress]: [ 170 / 201 ] simplifiying candidate # 41.408 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 41.409 * * [simplify]: iters left: 5 (7 enodes) 41.415 * * [simplify]: iters left: 4 (25 enodes) 41.423 * * [simplify]: iters left: 3 (27 enodes) 41.429 * * [simplify]: Extracting #0: cost 1 inf + 0 41.429 * * [simplify]: Extracting #1: cost 4 inf + 0 41.430 * * [simplify]: Extracting #2: cost 5 inf + 1 41.430 * * [simplify]: Extracting #3: cost 7 inf + 1 41.430 * * [simplify]: Extracting #4: cost 6 inf + 2 41.430 * * [simplify]: Extracting #5: cost 2 inf + 368 41.430 * * [simplify]: Extracting #6: cost 0 inf + 490 41.430 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 41.430 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (* (/ (cbrt 1) (sqrt (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2)))) 41.430 * * * * [progress]: [ 171 / 201 ] simplifiying candidate # 41.431 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) 1) 41.431 * * [simplify]: iters left: 5 (4 enodes) 41.438 * * [simplify]: iters left: 4 (14 enodes) 41.441 * * [simplify]: iters left: 3 (16 enodes) 41.444 * * [simplify]: Extracting #0: cost 1 inf + 0 41.444 * * [simplify]: Extracting #1: cost 0 inf + 1 41.444 * [simplify]: Simplified to 1 41.444 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (* (/ (cbrt 1) (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2)))) 41.444 * * * * [progress]: [ 172 / 201 ] simplifiying candidate # 41.444 * [simplify]: Simplifying (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 41.444 * * [simplify]: iters left: 6 (7 enodes) 41.449 * * [simplify]: iters left: 5 (25 enodes) 41.457 * * [simplify]: iters left: 4 (32 enodes) 41.466 * * [simplify]: iters left: 3 (34 enodes) 41.474 * * [simplify]: Extracting #0: cost 1 inf + 0 41.475 * * [simplify]: Extracting #1: cost 7 inf + 0 41.475 * * [simplify]: Extracting #2: cost 11 inf + 1 41.475 * * [simplify]: Extracting #3: cost 13 inf + 1 41.475 * * [simplify]: Extracting #4: cost 10 inf + 84 41.475 * * [simplify]: Extracting #5: cost 4 inf + 1014 41.476 * * [simplify]: Extracting #6: cost 1 inf + 1498 41.476 * * [simplify]: Extracting #7: cost 0 inf + 1700 41.476 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 41.477 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (* (/ (sqrt 1) (cbrt (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2)))) 41.477 * * * * [progress]: [ 173 / 201 ] simplifiying candidate # 41.477 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) 41.477 * * [simplify]: iters left: 6 (7 enodes) 41.481 * * [simplify]: iters left: 5 (24 enodes) 41.488 * * [simplify]: iters left: 4 (26 enodes) 41.495 * * [simplify]: Extracting #0: cost 1 inf + 0 41.496 * * [simplify]: Extracting #1: cost 4 inf + 0 41.496 * * [simplify]: Extracting #2: cost 6 inf + 1 41.496 * * [simplify]: Extracting #3: cost 9 inf + 1 41.496 * * [simplify]: Extracting #4: cost 8 inf + 2 41.496 * * [simplify]: Extracting #5: cost 2 inf + 730 41.496 * * [simplify]: Extracting #6: cost 0 inf + 972 41.496 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 41.497 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (* (/ (sqrt 1) (sqrt (cbrt k))) (pow (* 2 PI) (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2)))) 41.497 * * * * [progress]: [ 174 / 201 ] simplifiying candidate # 41.497 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 41.497 * * [simplify]: iters left: 4 (6 enodes) 41.501 * * [simplify]: iters left: 3 (20 enodes) 41.506 * * [simplify]: iters left: 2 (22 enodes) 41.513 * * [simplify]: Extracting #0: cost 1 inf + 0 41.513 * * [simplify]: Extracting #1: cost 4 inf + 0 41.513 * * [simplify]: Extracting #2: cost 5 inf + 1 41.513 * * [simplify]: Extracting #3: cost 7 inf + 1 41.513 * * [simplify]: Extracting #4: cost 1 inf + 368 41.514 * * [simplify]: Extracting #5: cost 0 inf + 490 41.514 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 41.514 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2)))) 41.514 * * * * [progress]: [ 175 / 201 ] simplifiying candidate # 41.514 * [simplify]: Simplifying (/ (sqrt 1) (sqrt 1)) 41.514 * * [simplify]: iters left: 3 (3 enodes) 41.518 * * [simplify]: iters left: 2 (9 enodes) 41.520 * * [simplify]: iters left: 1 (11 enodes) 41.523 * * [simplify]: Extracting #0: cost 1 inf + 0 41.523 * * [simplify]: Extracting #1: cost 0 inf + 1 41.523 * [simplify]: Simplified to 1 41.523 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (* (/ (sqrt 1) (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2)))) 41.523 * * * * [progress]: [ 176 / 201 ] simplifiying candidate # 41.524 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 41.524 * * [simplify]: iters left: 4 (6 enodes) 41.527 * * [simplify]: iters left: 3 (20 enodes) 41.533 * * [simplify]: iters left: 2 (22 enodes) 41.539 * * [simplify]: Extracting #0: cost 1 inf + 0 41.539 * * [simplify]: Extracting #1: cost 4 inf + 0 41.539 * * [simplify]: Extracting #2: cost 5 inf + 1 41.539 * * [simplify]: Extracting #3: cost 7 inf + 1 41.539 * * [simplify]: Extracting #4: cost 1 inf + 368 41.540 * * [simplify]: Extracting #5: cost 0 inf + 490 41.540 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 41.540 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2)))) 41.540 * * * * [progress]: [ 177 / 201 ] simplifiying candidate # 41.540 * [simplify]: Simplifying (/ (sqrt 1) 1) 41.541 * * [simplify]: iters left: 3 (3 enodes) 41.544 * * [simplify]: iters left: 2 (9 enodes) 41.546 * * [simplify]: iters left: 1 (11 enodes) 41.549 * * [simplify]: Extracting #0: cost 1 inf + 0 41.549 * * [simplify]: Extracting #1: cost 0 inf + 1 41.549 * [simplify]: Simplified to 1 41.549 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (* (/ (sqrt 1) (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2)))) 41.549 * * * * [progress]: [ 178 / 201 ] simplifiying candidate # 41.550 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 41.550 * * [simplify]: iters left: 6 (6 enodes) 41.553 * * [simplify]: iters left: 5 (22 enodes) 41.561 * * [simplify]: iters left: 4 (26 enodes) 41.569 * * [simplify]: Extracting #0: cost 1 inf + 0 41.569 * * [simplify]: Extracting #1: cost 6 inf + 0 41.569 * * [simplify]: Extracting #2: cost 9 inf + 1 41.569 * * [simplify]: Extracting #3: cost 11 inf + 1 41.569 * * [simplify]: Extracting #4: cost 8 inf + 84 41.569 * * [simplify]: Extracting #5: cost 2 inf + 1013 41.570 * * [simplify]: Extracting #6: cost 0 inf + 1376 41.570 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 41.570 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ 1 (cbrt (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2)))) 41.570 * * * * [progress]: [ 179 / 201 ] simplifiying candidate # 41.570 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt k) (cbrt k)))) 41.571 * * [simplify]: iters left: 6 (6 enodes) 41.576 * * [simplify]: iters left: 5 (21 enodes) 41.582 * * [simplify]: iters left: 4 (23 enodes) 41.587 * * [simplify]: Extracting #0: cost 1 inf + 0 41.587 * * [simplify]: Extracting #1: cost 4 inf + 0 41.587 * * [simplify]: Extracting #2: cost 6 inf + 1 41.587 * * [simplify]: Extracting #3: cost 9 inf + 1 41.587 * * [simplify]: Extracting #4: cost 8 inf + 2 41.587 * * [simplify]: Extracting #5: cost 1 inf + 810 41.587 * * [simplify]: Extracting #6: cost 0 inf + 972 41.587 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 41.588 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (* (/ 1 (sqrt (cbrt k))) (pow (* 2 PI) (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2)))) 41.588 * * * * [progress]: [ 180 / 201 ] simplifiying candidate # 41.588 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 41.588 * * [simplify]: iters left: 4 (5 enodes) 41.589 * * [simplify]: iters left: 3 (17 enodes) 41.592 * * [simplify]: iters left: 2 (19 enodes) 41.595 * * [simplify]: Extracting #0: cost 1 inf + 0 41.596 * * [simplify]: Extracting #1: cost 4 inf + 0 41.596 * * [simplify]: Extracting #2: cost 5 inf + 1 41.596 * * [simplify]: Extracting #3: cost 7 inf + 1 41.596 * * [simplify]: Extracting #4: cost 0 inf + 490 41.596 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 41.596 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2)))) 41.596 * * * * [progress]: [ 181 / 201 ] simplifiying candidate # 41.596 * [simplify]: Simplifying (/ 1 (sqrt 1)) 41.596 * * [simplify]: iters left: 3 (3 enodes) 41.600 * * [simplify]: iters left: 2 (11 enodes) 41.602 * * [simplify]: iters left: 1 (13 enodes) 41.604 * * [simplify]: Extracting #0: cost 1 inf + 0 41.604 * * [simplify]: Extracting #1: cost 0 inf + 1 41.604 * [simplify]: Simplified to 1 41.604 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2)))) 41.604 * * * * [progress]: [ 182 / 201 ] simplifiying candidate # 41.604 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 41.604 * * [simplify]: iters left: 4 (5 enodes) 41.605 * * [simplify]: iters left: 3 (17 enodes) 41.609 * * [simplify]: iters left: 2 (19 enodes) 41.612 * * [simplify]: Extracting #0: cost 1 inf + 0 41.612 * * [simplify]: Extracting #1: cost 4 inf + 0 41.612 * * [simplify]: Extracting #2: cost 5 inf + 1 41.612 * * [simplify]: Extracting #3: cost 7 inf + 1 41.612 * * [simplify]: Extracting #4: cost 0 inf + 490 41.612 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 41.612 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2)))) 41.612 * * * * [progress]: [ 183 / 201 ] simplifiying candidate # 41.612 * [simplify]: Simplifying (/ 1 1) 41.612 * * [simplify]: iters left: 2 (2 enodes) 41.613 * * [simplify]: iters left: 1 (6 enodes) 41.614 * * [simplify]: Extracting #0: cost 1 inf + 0 41.614 * * [simplify]: Extracting #1: cost 0 inf + 1 41.614 * [simplify]: Simplified to 1 41.614 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2)))) 41.614 * * * * [progress]: [ 184 / 201 ] simplifiying candidate # 41.614 * * * * [progress]: [ 185 / 201 ] simplifiying candidate # 41.614 * * * * [progress]: [ 186 / 201 ] simplifiying candidate # 41.615 * [simplify]: Simplifying (pow (* 2 PI) (/ k 2)) 41.615 * * [simplify]: iters left: 3 (6 enodes) 41.616 * * [simplify]: iters left: 2 (22 enodes) 41.620 * * [simplify]: iters left: 1 (34 enodes) 41.631 * * [simplify]: Extracting #0: cost 1 inf + 0 41.631 * * [simplify]: Extracting #1: cost 10 inf + 0 41.631 * * [simplify]: Extracting #2: cost 26 inf + 0 41.631 * * [simplify]: Extracting #3: cost 23 inf + 128 41.632 * * [simplify]: Extracting #4: cost 10 inf + 1713 41.632 * * [simplify]: Extracting #5: cost 0 inf + 4919 41.633 * [simplify]: Simplified to (pow (* 2 PI) (/ k 2)) 41.633 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ 1 2))) (pow (* 2 PI) (/ k 2))) (pow n (/ (- 1 k) 2)))) 41.633 * * * * [progress]: [ 187 / 201 ] simplifiying candidate # 41.633 * [simplify]: Simplifying (* 1 (pow (* 2 PI) (/ (- 1 k) 2))) 41.633 * * [simplify]: iters left: 6 (9 enodes) 41.637 * * [simplify]: iters left: 5 (38 enodes) 41.644 * * [simplify]: iters left: 4 (65 enodes) 41.656 * * [simplify]: iters left: 3 (103 enodes) 41.684 * * [simplify]: iters left: 2 (194 enodes) 41.729 * * [simplify]: iters left: 1 (350 enodes) 41.851 * * [simplify]: Extracting #0: cost 1 inf + 0 41.851 * * [simplify]: Extracting #1: cost 19 inf + 0 41.851 * * [simplify]: Extracting #2: cost 74 inf + 2 41.856 * * [simplify]: Extracting #3: cost 123 inf + 7 41.857 * * [simplify]: Extracting #4: cost 135 inf + 555 41.861 * * [simplify]: Extracting #5: cost 67 inf + 7260 41.867 * * [simplify]: Extracting #6: cost 29 inf + 21328 41.878 * * [simplify]: Extracting #7: cost 3 inf + 39368 41.891 * * [simplify]: Extracting #8: cost 0 inf + 41910 41.904 * [simplify]: Simplified to (pow (* PI 2) (/ (- 1 k) 2)) 41.904 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (/ (pow (* PI 2) (/ (- 1 k) 2)) (sqrt k)) (pow n (/ (- 1 k) 2)))) 41.904 * * * * [progress]: [ 188 / 201 ] simplifiying candidate #real (real->posit16 (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))))) (pow n (/ (- 1 k) 2))))> 41.904 * * * * [progress]: [ 189 / 201 ] simplifiying candidate # 41.904 * * * * [progress]: [ 190 / 201 ] simplifiying candidate # 41.904 * [simplify]: Simplifying (- (+ (pow n 1/2) (* 1/8 (* (sqrt n) (* (pow (log n) 2) (pow k 2))))) (* 1/2 (* (sqrt n) (* (log n) k)))) 41.905 * * [simplify]: iters left: 6 (18 enodes) 41.915 * * [simplify]: iters left: 5 (83 enodes) 41.945 * * [simplify]: iters left: 4 (209 enodes) 42.015 * * [simplify]: Extracting #0: cost 1 inf + 0 42.015 * * [simplify]: Extracting #1: cost 10 inf + 0 42.016 * * [simplify]: Extracting #2: cost 88 inf + 0 42.016 * * [simplify]: Extracting #3: cost 161 inf + 5 42.017 * * [simplify]: Extracting #4: cost 138 inf + 3919 42.021 * * [simplify]: Extracting #5: cost 21 inf + 35430 42.027 * * [simplify]: Extracting #6: cost 0 inf + 39667 42.037 * * [simplify]: Extracting #7: cost 0 inf + 39427 42.049 * [simplify]: Simplified to (+ (sqrt n) (* (sqrt n) (- (* (* 1/8 (* k (log n))) (* k (log n))) (* 1/2 (* k (log n)))))) 42.049 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (+ (sqrt n) (* (sqrt n) (- (* (* 1/8 (* k (log n))) (* k (log n))) (* 1/2 (* k (log n)))))))) 42.049 * * * * [progress]: [ 191 / 201 ] simplifiying candidate # 42.050 * [simplify]: Simplifying (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) 42.050 * * [simplify]: iters left: 6 (10 enodes) 42.056 * * [simplify]: iters left: 5 (44 enodes) 42.077 * * [simplify]: iters left: 4 (87 enodes) 42.109 * * [simplify]: iters left: 3 (209 enodes) 42.175 * * [simplify]: Extracting #0: cost 1 inf + 0 42.175 * * [simplify]: Extracting #1: cost 32 inf + 0 42.175 * * [simplify]: Extracting #2: cost 114 inf + 73 42.177 * * [simplify]: Extracting #3: cost 146 inf + 1532 42.184 * * [simplify]: Extracting #4: cost 64 inf + 14982 42.193 * * [simplify]: Extracting #5: cost 4 inf + 29158 42.203 * * [simplify]: Extracting #6: cost 0 inf + 31027 42.209 * * [simplify]: Extracting #7: cost 0 inf + 30987 42.213 * [simplify]: Simplified to (exp (* (* (log n) 1/2) (- 1 k))) 42.214 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (exp (* (* (log n) 1/2) (- 1 k))))) 42.214 * * * * [progress]: [ 192 / 201 ] simplifiying candidate # 42.214 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) 42.214 * * [simplify]: iters left: 6 (13 enodes) 42.219 * * [simplify]: iters left: 5 (53 enodes) 42.229 * * [simplify]: iters left: 4 (109 enodes) 42.268 * * [simplify]: iters left: 3 (305 enodes) 42.431 * * [simplify]: Extracting #0: cost 1 inf + 0 42.431 * * [simplify]: Extracting #1: cost 34 inf + 0 42.431 * * [simplify]: Extracting #2: cost 135 inf + 73 42.432 * * [simplify]: Extracting #3: cost 197 inf + 2363 42.435 * * [simplify]: Extracting #4: cost 91 inf + 20834 42.442 * * [simplify]: Extracting #5: cost 9 inf + 40850 42.450 * * [simplify]: Extracting #6: cost 0 inf + 43041 42.465 * * [simplify]: Extracting #7: cost 0 inf + 43035 42.480 * [simplify]: Simplified to (sqrt (exp (- (log n) (* k (log n))))) 42.480 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt (exp (- (log n) (* k (log n))))))) 42.480 * * * * [progress]: [ 193 / 201 ] simplifiying candidate # 42.481 * [simplify]: Simplifying (- (+ (* 1/8 (* (* (sqrt 2) (* (pow k 2) (pow (log (* 2 PI)) 2))) (sqrt PI))) (pow (* 2 PI) 1/2)) (* 1/2 (* (* (sqrt 2) (* k (log (* 2 PI)))) (sqrt PI)))) 42.481 * * [simplify]: iters left: 6 (22 enodes) 42.495 * * [simplify]: iters left: 5 (108 enodes) 42.525 * * [simplify]: iters left: 4 (266 enodes) 42.635 * * [simplify]: Extracting #0: cost 1 inf + 0 42.635 * * [simplify]: Extracting #1: cost 10 inf + 0 42.635 * * [simplify]: Extracting #2: cost 103 inf + 0 42.637 * * [simplify]: Extracting #3: cost 280 inf + 45 42.642 * * [simplify]: Extracting #4: cost 237 inf + 14519 42.653 * * [simplify]: Extracting #5: cost 28 inf + 66560 42.667 * * [simplify]: Extracting #6: cost 0 inf + 73411 42.693 * * [simplify]: Extracting #7: cost 0 inf + 73211 42.722 * * [simplify]: Extracting #8: cost 0 inf + 73131 42.749 * [simplify]: Simplified to (+ (* (sqrt 2) (- (* (* (* k (log (* PI 2))) (* k (log (* PI 2)))) (* (sqrt PI) 1/8)) (* (* k (log (* PI 2))) (* 1/2 (sqrt PI))))) (sqrt (* PI 2))) 42.749 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (+ (* (sqrt 2) (- (* (* (* k (log (* PI 2))) (* k (log (* PI 2)))) (* (sqrt PI) 1/8)) (* (* k (log (* PI 2))) (* 1/2 (sqrt PI))))) (sqrt (* PI 2)))) (pow n (/ (- 1 k) 2)))) 42.749 * * * * [progress]: [ 194 / 201 ] simplifiying candidate # 42.750 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) 42.750 * * [simplify]: iters left: 6 (11 enodes) 42.757 * * [simplify]: iters left: 5 (47 enodes) 42.772 * * [simplify]: iters left: 4 (98 enodes) 42.792 * * [simplify]: iters left: 3 (252 enodes) 42.874 * * [simplify]: Extracting #0: cost 1 inf + 0 42.874 * * [simplify]: Extracting #1: cost 32 inf + 0 42.875 * * [simplify]: Extracting #2: cost 123 inf + 1 42.876 * * [simplify]: Extracting #3: cost 162 inf + 2239 42.879 * * [simplify]: Extracting #4: cost 95 inf + 13136 42.889 * * [simplify]: Extracting #5: cost 16 inf + 30533 42.897 * * [simplify]: Extracting #6: cost 0 inf + 35741 42.903 * * [simplify]: Extracting #7: cost 0 inf + 35654 42.909 * [simplify]: Simplified to (sqrt (exp (- (log (* 2 PI)) (* (log (* 2 PI)) k)))) 42.909 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (sqrt (exp (- (log (* 2 PI)) (* (log (* 2 PI)) k))))) (pow n (/ (- 1 k) 2)))) 42.909 * * * * [progress]: [ 195 / 201 ] simplifiying candidate # 42.910 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) 42.910 * * [simplify]: iters left: 6 (11 enodes) 42.914 * * [simplify]: iters left: 5 (47 enodes) 42.930 * * [simplify]: iters left: 4 (98 enodes) 42.971 * * [simplify]: iters left: 3 (252 enodes) 43.057 * * [simplify]: Extracting #0: cost 1 inf + 0 43.057 * * [simplify]: Extracting #1: cost 32 inf + 0 43.058 * * [simplify]: Extracting #2: cost 123 inf + 1 43.059 * * [simplify]: Extracting #3: cost 162 inf + 2239 43.062 * * [simplify]: Extracting #4: cost 95 inf + 13136 43.072 * * [simplify]: Extracting #5: cost 16 inf + 30533 43.083 * * [simplify]: Extracting #6: cost 0 inf + 35741 43.095 * * [simplify]: Extracting #7: cost 0 inf + 35654 43.107 * [simplify]: Simplified to (sqrt (exp (- (log (* 2 PI)) (* (log (* 2 PI)) k)))) 43.107 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (sqrt (exp (- (log (* 2 PI)) (* (log (* 2 PI)) k))))) (pow n (/ (- 1 k) 2)))) 43.107 * * * * [progress]: [ 196 / 201 ] simplifiying candidate # 43.107 * [simplify]: Simplifying (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 43.107 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* +nan.0 (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 43.107 * * * * [progress]: [ 197 / 201 ] simplifiying candidate # 43.108 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 43.108 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* +nan.0 (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 43.108 * * * * [progress]: [ 198 / 201 ] simplifiying candidate # 43.108 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 43.108 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* +nan.0 (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 43.108 * * * * [progress]: [ 199 / 201 ] simplifiying candidate # 43.109 * [simplify]: Simplifying (- (+ (* +nan.0 (* (* (sqrt 2) (pow k 2)) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt PI))) (- (+ (* +nan.0 (* (* (log (* 2 PI)) (* (sqrt 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log (* 2 PI)) 2) (* (sqrt 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* k (log (* 2 PI)))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) k) (sqrt PI)))))))))))))) 43.109 * [simplify]: Simplified (2 1) to (λ (k n) (* +nan.0 (pow n (/ (- 1 k) 2)))) 43.109 * * * * [progress]: [ 200 / 201 ] simplifiying candidate # 43.109 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) k)) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (pow k 2)))))))) 43.109 * [simplify]: Simplified (2 1) to (λ (k n) (* +nan.0 (pow n (/ (- 1 k) 2)))) 43.109 * * * * [progress]: [ 201 / 201 ] simplifiying candidate # 43.110 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))))))))) 43.110 * [simplify]: Simplified (2 1) to (λ (k n) (* +nan.0 (pow n (/ (- 1 k) 2)))) 43.110 * * * [progress]: adding candidates to table 45.632 * * [progress]: iteration 3 / 4 45.632 * * * [progress]: picking best candidate 45.651 * * * * [pick]: Picked # 45.652 * * * [progress]: localizing error 45.707 * * * [progress]: generating rewritten candidates 45.707 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 45.712 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 45.721 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 46.005 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 46.039 * * * [progress]: generating series expansions 46.039 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 46.040 * [backup-simplify]: Simplify (pow n (/ (- 1 k) 2)) into (pow n (* 1/2 (- 1 k))) 46.040 * [approximate]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in (n k) around 0 46.040 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in k 46.040 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in k 46.040 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in k 46.040 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 46.040 * [taylor]: Taking taylor expansion of 1/2 in k 46.040 * [backup-simplify]: Simplify 1/2 into 1/2 46.040 * [taylor]: Taking taylor expansion of (- 1 k) in k 46.040 * [taylor]: Taking taylor expansion of 1 in k 46.040 * [backup-simplify]: Simplify 1 into 1 46.040 * [taylor]: Taking taylor expansion of k in k 46.040 * [backup-simplify]: Simplify 0 into 0 46.040 * [backup-simplify]: Simplify 1 into 1 46.040 * [taylor]: Taking taylor expansion of (log n) in k 46.040 * [taylor]: Taking taylor expansion of n in k 46.040 * [backup-simplify]: Simplify n into n 46.040 * [backup-simplify]: Simplify (log n) into (log n) 46.041 * [backup-simplify]: Simplify (- 0) into 0 46.041 * [backup-simplify]: Simplify (+ 1 0) into 1 46.042 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 46.042 * [backup-simplify]: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 46.042 * [backup-simplify]: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 46.042 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in n 46.042 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in n 46.042 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in n 46.042 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 46.042 * [taylor]: Taking taylor expansion of 1/2 in n 46.042 * [backup-simplify]: Simplify 1/2 into 1/2 46.042 * [taylor]: Taking taylor expansion of (- 1 k) in n 46.042 * [taylor]: Taking taylor expansion of 1 in n 46.042 * [backup-simplify]: Simplify 1 into 1 46.042 * [taylor]: Taking taylor expansion of k in n 46.042 * [backup-simplify]: Simplify k into k 46.042 * [taylor]: Taking taylor expansion of (log n) in n 46.042 * [taylor]: Taking taylor expansion of n in n 46.042 * [backup-simplify]: Simplify 0 into 0 46.042 * [backup-simplify]: Simplify 1 into 1 46.043 * [backup-simplify]: Simplify (log 1) into 0 46.043 * [backup-simplify]: Simplify (- k) into (- k) 46.043 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 46.043 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 46.043 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 46.043 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log n)) into (* 1/2 (* (- 1 k) (log n))) 46.043 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log n)))) into (exp (* 1/2 (* (- 1 k) (log n)))) 46.043 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in n 46.044 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in n 46.044 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in n 46.044 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 46.044 * [taylor]: Taking taylor expansion of 1/2 in n 46.044 * [backup-simplify]: Simplify 1/2 into 1/2 46.044 * [taylor]: Taking taylor expansion of (- 1 k) in n 46.044 * [taylor]: Taking taylor expansion of 1 in n 46.044 * [backup-simplify]: Simplify 1 into 1 46.044 * [taylor]: Taking taylor expansion of k in n 46.044 * [backup-simplify]: Simplify k into k 46.044 * [taylor]: Taking taylor expansion of (log n) in n 46.044 * [taylor]: Taking taylor expansion of n in n 46.044 * [backup-simplify]: Simplify 0 into 0 46.044 * [backup-simplify]: Simplify 1 into 1 46.044 * [backup-simplify]: Simplify (log 1) into 0 46.044 * [backup-simplify]: Simplify (- k) into (- k) 46.044 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 46.044 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 46.045 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 46.045 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log n)) into (* 1/2 (* (- 1 k) (log n))) 46.045 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log n)))) into (exp (* 1/2 (* (- 1 k) (log n)))) 46.045 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (log n)))) in k 46.045 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (log n))) in k 46.045 * [taylor]: Taking taylor expansion of 1/2 in k 46.045 * [backup-simplify]: Simplify 1/2 into 1/2 46.045 * [taylor]: Taking taylor expansion of (* (- 1 k) (log n)) in k 46.045 * [taylor]: Taking taylor expansion of (- 1 k) in k 46.045 * [taylor]: Taking taylor expansion of 1 in k 46.045 * [backup-simplify]: Simplify 1 into 1 46.045 * [taylor]: Taking taylor expansion of k in k 46.045 * [backup-simplify]: Simplify 0 into 0 46.045 * [backup-simplify]: Simplify 1 into 1 46.045 * [taylor]: Taking taylor expansion of (log n) in k 46.045 * [taylor]: Taking taylor expansion of n in k 46.045 * [backup-simplify]: Simplify n into n 46.045 * [backup-simplify]: Simplify (log n) into (log n) 46.046 * [backup-simplify]: Simplify (- 0) into 0 46.046 * [backup-simplify]: Simplify (+ 1 0) into 1 46.046 * [backup-simplify]: Simplify (* 1 (log n)) into (log n) 46.046 * [backup-simplify]: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 46.046 * [backup-simplify]: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 46.046 * [backup-simplify]: Simplify (pow n 1/2) into (pow n 1/2) 46.048 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 46.048 * [backup-simplify]: Simplify (- 0) into 0 46.048 * [backup-simplify]: Simplify (+ 0 0) into 0 46.049 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 46.049 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 46.050 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (log n))) into 0 46.050 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 46.051 * [taylor]: Taking taylor expansion of 0 in k 46.051 * [backup-simplify]: Simplify 0 into 0 46.051 * [backup-simplify]: Simplify 0 into 0 46.051 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 46.052 * [backup-simplify]: Simplify (- 1) into -1 46.052 * [backup-simplify]: Simplify (+ 0 -1) into -1 46.053 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (log n))) into (- (log n)) 46.053 * [backup-simplify]: Simplify (+ (* 1/2 (- (log n))) (* 0 (log n))) into (- (* 1/2 (log n))) 46.053 * [backup-simplify]: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 46.053 * [backup-simplify]: Simplify (* -1/2 (* (sqrt n) (log n))) into (* -1/2 (* (sqrt n) (log n))) 46.056 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 46.056 * [backup-simplify]: Simplify (- 0) into 0 46.056 * [backup-simplify]: Simplify (+ 0 0) into 0 46.057 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 46.058 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 46.058 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 46.059 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 46.059 * [taylor]: Taking taylor expansion of 0 in k 46.059 * [backup-simplify]: Simplify 0 into 0 46.059 * [backup-simplify]: Simplify 0 into 0 46.059 * [backup-simplify]: Simplify 0 into 0 46.061 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 46.061 * [backup-simplify]: Simplify (- 0) into 0 46.062 * [backup-simplify]: Simplify (+ 0 0) into 0 46.063 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (log n)))) into 0 46.063 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (log n))) (* 0 (log n)))) into 0 46.064 * [backup-simplify]: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 46.064 * [backup-simplify]: Simplify (* 1/8 (* (sqrt n) (pow (log n) 2))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 46.065 * [backup-simplify]: Simplify (+ (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -1/2 (* (sqrt n) (log n))) (* k 1)) (pow n 1/2))) into (- (+ (pow n 1/2) (* 1/8 (* (sqrt n) (* (pow (log n) 2) (pow k 2))))) (* 1/2 (* (sqrt n) (* (log n) k)))) 46.065 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (- 1 (/ 1 k)) 2)) into (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) 46.065 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 46.065 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in k 46.065 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in k 46.065 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in k 46.065 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 46.065 * [taylor]: Taking taylor expansion of 1/2 in k 46.065 * [backup-simplify]: Simplify 1/2 into 1/2 46.065 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 46.065 * [taylor]: Taking taylor expansion of 1 in k 46.065 * [backup-simplify]: Simplify 1 into 1 46.065 * [taylor]: Taking taylor expansion of (/ 1 k) in k 46.065 * [taylor]: Taking taylor expansion of k in k 46.065 * [backup-simplify]: Simplify 0 into 0 46.065 * [backup-simplify]: Simplify 1 into 1 46.066 * [backup-simplify]: Simplify (/ 1 1) into 1 46.066 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 46.066 * [taylor]: Taking taylor expansion of (/ 1 n) in k 46.066 * [taylor]: Taking taylor expansion of n in k 46.066 * [backup-simplify]: Simplify n into n 46.066 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 46.066 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 46.066 * [backup-simplify]: Simplify (- 1) into -1 46.067 * [backup-simplify]: Simplify (+ 0 -1) into -1 46.067 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 46.067 * [backup-simplify]: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 46.068 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) 46.068 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in n 46.068 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in n 46.068 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in n 46.068 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 46.068 * [taylor]: Taking taylor expansion of 1/2 in n 46.068 * [backup-simplify]: Simplify 1/2 into 1/2 46.068 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 46.068 * [taylor]: Taking taylor expansion of 1 in n 46.068 * [backup-simplify]: Simplify 1 into 1 46.068 * [taylor]: Taking taylor expansion of (/ 1 k) in n 46.068 * [taylor]: Taking taylor expansion of k in n 46.068 * [backup-simplify]: Simplify k into k 46.068 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 46.068 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 46.068 * [taylor]: Taking taylor expansion of (/ 1 n) in n 46.068 * [taylor]: Taking taylor expansion of n in n 46.068 * [backup-simplify]: Simplify 0 into 0 46.068 * [backup-simplify]: Simplify 1 into 1 46.068 * [backup-simplify]: Simplify (/ 1 1) into 1 46.069 * [backup-simplify]: Simplify (log 1) into 0 46.069 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 46.069 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 46.069 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 46.070 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 46.070 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log n))) into (* -1/2 (* (- 1 (/ 1 k)) (log n))) 46.070 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 46.070 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in n 46.070 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in n 46.070 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in n 46.070 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 46.070 * [taylor]: Taking taylor expansion of 1/2 in n 46.070 * [backup-simplify]: Simplify 1/2 into 1/2 46.070 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 46.070 * [taylor]: Taking taylor expansion of 1 in n 46.070 * [backup-simplify]: Simplify 1 into 1 46.070 * [taylor]: Taking taylor expansion of (/ 1 k) in n 46.070 * [taylor]: Taking taylor expansion of k in n 46.070 * [backup-simplify]: Simplify k into k 46.070 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 46.070 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 46.070 * [taylor]: Taking taylor expansion of (/ 1 n) in n 46.070 * [taylor]: Taking taylor expansion of n in n 46.070 * [backup-simplify]: Simplify 0 into 0 46.070 * [backup-simplify]: Simplify 1 into 1 46.071 * [backup-simplify]: Simplify (/ 1 1) into 1 46.071 * [backup-simplify]: Simplify (log 1) into 0 46.071 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 46.071 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 46.072 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 46.072 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 46.072 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log n))) into (* -1/2 (* (- 1 (/ 1 k)) (log n))) 46.072 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 46.072 * [taylor]: Taking taylor expansion of (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) in k 46.073 * [taylor]: Taking taylor expansion of (* -1/2 (* (- 1 (/ 1 k)) (log n))) in k 46.073 * [taylor]: Taking taylor expansion of -1/2 in k 46.073 * [backup-simplify]: Simplify -1/2 into -1/2 46.073 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log n)) in k 46.073 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 46.073 * [taylor]: Taking taylor expansion of 1 in k 46.073 * [backup-simplify]: Simplify 1 into 1 46.073 * [taylor]: Taking taylor expansion of (/ 1 k) in k 46.073 * [taylor]: Taking taylor expansion of k in k 46.073 * [backup-simplify]: Simplify 0 into 0 46.073 * [backup-simplify]: Simplify 1 into 1 46.073 * [backup-simplify]: Simplify (/ 1 1) into 1 46.073 * [taylor]: Taking taylor expansion of (log n) in k 46.073 * [taylor]: Taking taylor expansion of n in k 46.073 * [backup-simplify]: Simplify n into n 46.073 * [backup-simplify]: Simplify (log n) into (log n) 46.074 * [backup-simplify]: Simplify (- 1) into -1 46.074 * [backup-simplify]: Simplify (+ 0 -1) into -1 46.074 * [backup-simplify]: Simplify (* -1 (log n)) into (* -1 (log n)) 46.075 * [backup-simplify]: Simplify (* -1/2 (* -1 (log n))) into (* 1/2 (log n)) 46.075 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 46.075 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 46.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 46.078 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 46.078 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 46.078 * [backup-simplify]: Simplify (- 0) into 0 46.079 * [backup-simplify]: Simplify (+ 0 0) into 0 46.087 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 46.088 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 46.088 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 46.089 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 46.089 * [taylor]: Taking taylor expansion of 0 in k 46.089 * [backup-simplify]: Simplify 0 into 0 46.089 * [backup-simplify]: Simplify 0 into 0 46.090 * [backup-simplify]: Simplify 0 into 0 46.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 46.093 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 46.093 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 46.094 * [backup-simplify]: Simplify (- 0) into 0 46.094 * [backup-simplify]: Simplify (+ 0 0) into 0 46.095 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 46.096 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 46.096 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 46.098 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 46.098 * [taylor]: Taking taylor expansion of 0 in k 46.098 * [backup-simplify]: Simplify 0 into 0 46.098 * [backup-simplify]: Simplify 0 into 0 46.098 * [backup-simplify]: Simplify 0 into 0 46.098 * [backup-simplify]: Simplify 0 into 0 46.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 46.104 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 46.105 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 46.105 * [backup-simplify]: Simplify (- 0) into 0 46.106 * [backup-simplify]: Simplify (+ 0 0) into 0 46.107 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 46.107 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 46.108 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 46.110 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 46.110 * [taylor]: Taking taylor expansion of 0 in k 46.110 * [backup-simplify]: Simplify 0 into 0 46.110 * [backup-simplify]: Simplify 0 into 0 46.110 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 (/ 1 k))) (log (/ 1 n))))) into (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) 46.110 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (- 1 (/ 1 (- k))) 2)) into (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) 46.111 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 46.111 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in k 46.111 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in k 46.111 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in k 46.111 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 46.111 * [taylor]: Taking taylor expansion of 1/2 in k 46.111 * [backup-simplify]: Simplify 1/2 into 1/2 46.111 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 46.111 * [taylor]: Taking taylor expansion of (/ 1 k) in k 46.111 * [taylor]: Taking taylor expansion of k in k 46.111 * [backup-simplify]: Simplify 0 into 0 46.111 * [backup-simplify]: Simplify 1 into 1 46.111 * [backup-simplify]: Simplify (/ 1 1) into 1 46.111 * [taylor]: Taking taylor expansion of 1 in k 46.111 * [backup-simplify]: Simplify 1 into 1 46.111 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 46.111 * [taylor]: Taking taylor expansion of (/ -1 n) in k 46.111 * [taylor]: Taking taylor expansion of -1 in k 46.111 * [backup-simplify]: Simplify -1 into -1 46.111 * [taylor]: Taking taylor expansion of n in k 46.111 * [backup-simplify]: Simplify n into n 46.112 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 46.112 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 46.112 * [backup-simplify]: Simplify (+ 1 0) into 1 46.112 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 46.113 * [backup-simplify]: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 46.113 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) 46.113 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in n 46.113 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in n 46.113 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in n 46.113 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 46.113 * [taylor]: Taking taylor expansion of 1/2 in n 46.113 * [backup-simplify]: Simplify 1/2 into 1/2 46.113 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 46.113 * [taylor]: Taking taylor expansion of (/ 1 k) in n 46.113 * [taylor]: Taking taylor expansion of k in n 46.113 * [backup-simplify]: Simplify k into k 46.113 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 46.113 * [taylor]: Taking taylor expansion of 1 in n 46.113 * [backup-simplify]: Simplify 1 into 1 46.113 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 46.113 * [taylor]: Taking taylor expansion of (/ -1 n) in n 46.113 * [taylor]: Taking taylor expansion of -1 in n 46.113 * [backup-simplify]: Simplify -1 into -1 46.113 * [taylor]: Taking taylor expansion of n in n 46.113 * [backup-simplify]: Simplify 0 into 0 46.113 * [backup-simplify]: Simplify 1 into 1 46.114 * [backup-simplify]: Simplify (/ -1 1) into -1 46.114 * [backup-simplify]: Simplify (log -1) into (log -1) 46.114 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 46.114 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 46.115 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 46.116 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log -1) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) 46.116 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 46.116 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in n 46.116 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in n 46.116 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in n 46.116 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 46.116 * [taylor]: Taking taylor expansion of 1/2 in n 46.116 * [backup-simplify]: Simplify 1/2 into 1/2 46.116 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 46.116 * [taylor]: Taking taylor expansion of (/ 1 k) in n 46.116 * [taylor]: Taking taylor expansion of k in n 46.116 * [backup-simplify]: Simplify k into k 46.116 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 46.117 * [taylor]: Taking taylor expansion of 1 in n 46.117 * [backup-simplify]: Simplify 1 into 1 46.117 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 46.117 * [taylor]: Taking taylor expansion of (/ -1 n) in n 46.117 * [taylor]: Taking taylor expansion of -1 in n 46.117 * [backup-simplify]: Simplify -1 into -1 46.117 * [taylor]: Taking taylor expansion of n in n 46.117 * [backup-simplify]: Simplify 0 into 0 46.117 * [backup-simplify]: Simplify 1 into 1 46.117 * [backup-simplify]: Simplify (/ -1 1) into -1 46.118 * [backup-simplify]: Simplify (log -1) into (log -1) 46.118 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 46.118 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 46.118 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 46.119 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log -1) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) 46.120 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 46.120 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) in k 46.120 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) in k 46.120 * [taylor]: Taking taylor expansion of 1/2 in k 46.120 * [backup-simplify]: Simplify 1/2 into 1/2 46.120 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log -1) (log n))) in k 46.120 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 46.120 * [taylor]: Taking taylor expansion of (/ 1 k) in k 46.120 * [taylor]: Taking taylor expansion of k in k 46.120 * [backup-simplify]: Simplify 0 into 0 46.120 * [backup-simplify]: Simplify 1 into 1 46.120 * [backup-simplify]: Simplify (/ 1 1) into 1 46.120 * [taylor]: Taking taylor expansion of 1 in k 46.120 * [backup-simplify]: Simplify 1 into 1 46.120 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 46.120 * [taylor]: Taking taylor expansion of (log -1) in k 46.120 * [taylor]: Taking taylor expansion of -1 in k 46.120 * [backup-simplify]: Simplify -1 into -1 46.121 * [backup-simplify]: Simplify (log -1) into (log -1) 46.121 * [taylor]: Taking taylor expansion of (log n) in k 46.121 * [taylor]: Taking taylor expansion of n in k 46.121 * [backup-simplify]: Simplify n into n 46.121 * [backup-simplify]: Simplify (log n) into (log n) 46.121 * [backup-simplify]: Simplify (+ 1 0) into 1 46.121 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 46.122 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 46.122 * [backup-simplify]: Simplify (* 1 (- (log -1) (log n))) into (- (log -1) (log n)) 46.123 * [backup-simplify]: Simplify (* 1/2 (- (log -1) (log n))) into (* 1/2 (- (log -1) (log n))) 46.123 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 46.124 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 46.125 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 46.126 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 46.126 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 46.127 * [backup-simplify]: Simplify (+ 0 0) into 0 46.127 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 46.128 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 46.129 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log -1) (log n)))) into 0 46.130 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 46.130 * [taylor]: Taking taylor expansion of 0 in k 46.130 * [backup-simplify]: Simplify 0 into 0 46.130 * [backup-simplify]: Simplify 0 into 0 46.130 * [backup-simplify]: Simplify 0 into 0 46.131 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 46.134 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 46.134 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 46.134 * [backup-simplify]: Simplify (+ 0 0) into 0 46.135 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 46.136 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 46.137 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 46.139 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 46.139 * [taylor]: Taking taylor expansion of 0 in k 46.139 * [backup-simplify]: Simplify 0 into 0 46.139 * [backup-simplify]: Simplify 0 into 0 46.139 * [backup-simplify]: Simplify 0 into 0 46.139 * [backup-simplify]: Simplify 0 into 0 46.140 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 46.146 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 46.146 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 46.146 * [backup-simplify]: Simplify (+ 0 0) into 0 46.148 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 46.149 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 46.150 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 46.152 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 46.152 * [taylor]: Taking taylor expansion of 0 in k 46.152 * [backup-simplify]: Simplify 0 into 0 46.152 * [backup-simplify]: Simplify 0 into 0 46.152 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log -1) (log (/ 1 (- n))))))) into (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) 46.153 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 46.153 * [backup-simplify]: Simplify (/ 1 (sqrt k)) into (sqrt (/ 1 k)) 46.153 * [approximate]: Taking taylor expansion of (sqrt (/ 1 k)) in (k) around 0 46.153 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 46.153 * [taylor]: Taking taylor expansion of (/ 1 k) in k 46.153 * [taylor]: Taking taylor expansion of k in k 46.153 * [backup-simplify]: Simplify 0 into 0 46.153 * [backup-simplify]: Simplify 1 into 1 46.153 * [backup-simplify]: Simplify (/ 1 1) into 1 46.154 * [backup-simplify]: Simplify (sqrt 0) into 0 46.155 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 46.155 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 46.155 * [taylor]: Taking taylor expansion of (/ 1 k) in k 46.155 * [taylor]: Taking taylor expansion of k in k 46.155 * [backup-simplify]: Simplify 0 into 0 46.155 * [backup-simplify]: Simplify 1 into 1 46.156 * [backup-simplify]: Simplify (/ 1 1) into 1 46.156 * [backup-simplify]: Simplify (sqrt 0) into 0 46.158 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 46.158 * [backup-simplify]: Simplify 0 into 0 46.158 * [backup-simplify]: Simplify +nan.0 into +nan.0 46.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 46.162 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 46.162 * [backup-simplify]: Simplify +nan.0 into +nan.0 46.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 46.167 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 46.167 * [backup-simplify]: Simplify +nan.0 into +nan.0 46.167 * [backup-simplify]: Simplify (+ (* +nan.0 (pow k 2)) (+ (* +nan.0 k) +nan.0)) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 46.167 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 k))) into (sqrt k) 46.167 * [approximate]: Taking taylor expansion of (sqrt k) in (k) around 0 46.167 * [taylor]: Taking taylor expansion of (sqrt k) in k 46.167 * [taylor]: Taking taylor expansion of k in k 46.167 * [backup-simplify]: Simplify 0 into 0 46.167 * [backup-simplify]: Simplify 1 into 1 46.168 * [backup-simplify]: Simplify (sqrt 0) into 0 46.169 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 46.169 * [taylor]: Taking taylor expansion of (sqrt k) in k 46.169 * [taylor]: Taking taylor expansion of k in k 46.169 * [backup-simplify]: Simplify 0 into 0 46.169 * [backup-simplify]: Simplify 1 into 1 46.169 * [backup-simplify]: Simplify (sqrt 0) into 0 46.171 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 46.171 * [backup-simplify]: Simplify 0 into 0 46.171 * [backup-simplify]: Simplify +nan.0 into +nan.0 46.174 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 46.174 * [backup-simplify]: Simplify +nan.0 into +nan.0 46.178 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 46.178 * [backup-simplify]: Simplify +nan.0 into +nan.0 46.178 * [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)))))))) 46.178 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 (- k)))) into (/ 1 (sqrt (/ -1 k))) 46.178 * [approximate]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in (k) around 0 46.178 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 46.178 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 46.178 * [taylor]: Taking taylor expansion of (/ -1 k) in k 46.178 * [taylor]: Taking taylor expansion of -1 in k 46.178 * [backup-simplify]: Simplify -1 into -1 46.178 * [taylor]: Taking taylor expansion of k in k 46.178 * [backup-simplify]: Simplify 0 into 0 46.178 * [backup-simplify]: Simplify 1 into 1 46.179 * [backup-simplify]: Simplify (/ -1 1) into -1 46.179 * [backup-simplify]: Simplify (sqrt 0) into 0 46.181 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 46.181 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 46.181 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 46.181 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 46.181 * [taylor]: Taking taylor expansion of (/ -1 k) in k 46.181 * [taylor]: Taking taylor expansion of -1 in k 46.181 * [backup-simplify]: Simplify -1 into -1 46.181 * [taylor]: Taking taylor expansion of k in k 46.181 * [backup-simplify]: Simplify 0 into 0 46.181 * [backup-simplify]: Simplify 1 into 1 46.182 * [backup-simplify]: Simplify (/ -1 1) into -1 46.182 * [backup-simplify]: Simplify (sqrt 0) into 0 46.183 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 46.184 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 46.184 * [backup-simplify]: Simplify +nan.0 into +nan.0 46.185 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 46.188 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 46.190 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 46.190 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 46.191 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 46.195 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 46.198 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 46.199 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 46.200 * [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))))) 46.200 * * * * [progress]: [ 3 / 4 ] generating series at (2) 46.201 * [backup-simplify]: Simplify (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2))) into (* (* (pow n (* 1/2 (- 1 k))) (pow (pow (* 2 PI) (* 1/4 (- 1 k))) 2)) (sqrt (/ 1 k))) 46.201 * [approximate]: Taking taylor expansion of (* (* (pow n (* 1/2 (- 1 k))) (pow (pow (* 2 PI) (* 1/4 (- 1 k))) 2)) (sqrt (/ 1 k))) in (k n) around 0 46.201 * [taylor]: Taking taylor expansion of (* (* (pow n (* 1/2 (- 1 k))) (pow (pow (* 2 PI) (* 1/4 (- 1 k))) 2)) (sqrt (/ 1 k))) in n 46.201 * [taylor]: Taking taylor expansion of (* (pow n (* 1/2 (- 1 k))) (pow (pow (* 2 PI) (* 1/4 (- 1 k))) 2)) in n 46.201 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in n 46.201 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in n 46.201 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in n 46.202 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 46.202 * [taylor]: Taking taylor expansion of 1/2 in n 46.202 * [backup-simplify]: Simplify 1/2 into 1/2 46.202 * [taylor]: Taking taylor expansion of (- 1 k) in n 46.202 * [taylor]: Taking taylor expansion of 1 in n 46.202 * [backup-simplify]: Simplify 1 into 1 46.202 * [taylor]: Taking taylor expansion of k in n 46.202 * [backup-simplify]: Simplify k into k 46.202 * [taylor]: Taking taylor expansion of (log n) in n 46.202 * [taylor]: Taking taylor expansion of n in n 46.202 * [backup-simplify]: Simplify 0 into 0 46.202 * [backup-simplify]: Simplify 1 into 1 46.202 * [backup-simplify]: Simplify (log 1) into 0 46.202 * [backup-simplify]: Simplify (- k) into (- k) 46.202 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 46.202 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 46.203 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 46.203 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log n)) into (* 1/2 (* (- 1 k) (log n))) 46.203 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log n)))) into (exp (* 1/2 (* (- 1 k) (log n)))) 46.203 * [taylor]: Taking taylor expansion of (pow (pow (* 2 PI) (* 1/4 (- 1 k))) 2) in n 46.203 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/4 (- 1 k))) in n 46.203 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 PI)))) in n 46.203 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 PI))) in n 46.203 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n 46.203 * [taylor]: Taking taylor expansion of 1/4 in n 46.203 * [backup-simplify]: Simplify 1/4 into 1/4 46.203 * [taylor]: Taking taylor expansion of (- 1 k) in n 46.203 * [taylor]: Taking taylor expansion of 1 in n 46.203 * [backup-simplify]: Simplify 1 into 1 46.203 * [taylor]: Taking taylor expansion of k in n 46.203 * [backup-simplify]: Simplify k into k 46.203 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 46.203 * [taylor]: Taking taylor expansion of (* 2 PI) in n 46.203 * [taylor]: Taking taylor expansion of 2 in n 46.203 * [backup-simplify]: Simplify 2 into 2 46.203 * [taylor]: Taking taylor expansion of PI in n 46.203 * [backup-simplify]: Simplify PI into PI 46.204 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 46.205 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 46.205 * [backup-simplify]: Simplify (- k) into (- k) 46.205 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 46.205 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k)) 46.206 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (log (* 2 PI))) into (* 1/4 (* (- 1 k) (log (* 2 PI)))) 46.207 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) into (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) 46.207 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 46.207 * [taylor]: Taking taylor expansion of (/ 1 k) in n 46.207 * [taylor]: Taking taylor expansion of k in n 46.207 * [backup-simplify]: Simplify k into k 46.208 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 46.208 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 46.208 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 46.208 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 46.208 * [taylor]: Taking taylor expansion of (* (* (pow n (* 1/2 (- 1 k))) (pow (pow (* 2 PI) (* 1/4 (- 1 k))) 2)) (sqrt (/ 1 k))) in k 46.208 * [taylor]: Taking taylor expansion of (* (pow n (* 1/2 (- 1 k))) (pow (pow (* 2 PI) (* 1/4 (- 1 k))) 2)) in k 46.208 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in k 46.208 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in k 46.208 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in k 46.208 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 46.208 * [taylor]: Taking taylor expansion of 1/2 in k 46.208 * [backup-simplify]: Simplify 1/2 into 1/2 46.208 * [taylor]: Taking taylor expansion of (- 1 k) in k 46.208 * [taylor]: Taking taylor expansion of 1 in k 46.208 * [backup-simplify]: Simplify 1 into 1 46.208 * [taylor]: Taking taylor expansion of k in k 46.208 * [backup-simplify]: Simplify 0 into 0 46.208 * [backup-simplify]: Simplify 1 into 1 46.208 * [taylor]: Taking taylor expansion of (log n) in k 46.208 * [taylor]: Taking taylor expansion of n in k 46.208 * [backup-simplify]: Simplify n into n 46.208 * [backup-simplify]: Simplify (log n) into (log n) 46.209 * [backup-simplify]: Simplify (- 0) into 0 46.209 * [backup-simplify]: Simplify (+ 1 0) into 1 46.210 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 46.210 * [backup-simplify]: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 46.210 * [backup-simplify]: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 46.210 * [taylor]: Taking taylor expansion of (pow (pow (* 2 PI) (* 1/4 (- 1 k))) 2) in k 46.210 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/4 (- 1 k))) in k 46.210 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 PI)))) in k 46.210 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 PI))) in k 46.210 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in k 46.210 * [taylor]: Taking taylor expansion of 1/4 in k 46.210 * [backup-simplify]: Simplify 1/4 into 1/4 46.210 * [taylor]: Taking taylor expansion of (- 1 k) in k 46.210 * [taylor]: Taking taylor expansion of 1 in k 46.210 * [backup-simplify]: Simplify 1 into 1 46.210 * [taylor]: Taking taylor expansion of k in k 46.210 * [backup-simplify]: Simplify 0 into 0 46.210 * [backup-simplify]: Simplify 1 into 1 46.210 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 46.210 * [taylor]: Taking taylor expansion of (* 2 PI) in k 46.210 * [taylor]: Taking taylor expansion of 2 in k 46.210 * [backup-simplify]: Simplify 2 into 2 46.210 * [taylor]: Taking taylor expansion of PI in k 46.210 * [backup-simplify]: Simplify PI into PI 46.211 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 46.212 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 46.212 * [backup-simplify]: Simplify (- 0) into 0 46.212 * [backup-simplify]: Simplify (+ 1 0) into 1 46.213 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 46.215 * [backup-simplify]: Simplify (* 1/4 (log (* 2 PI))) into (* 1/4 (log (* 2 PI))) 46.217 * [backup-simplify]: Simplify (exp (* 1/4 (log (* 2 PI)))) into (pow (* 2 PI) 1/4) 46.217 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 46.217 * [taylor]: Taking taylor expansion of (/ 1 k) in k 46.217 * [taylor]: Taking taylor expansion of k in k 46.217 * [backup-simplify]: Simplify 0 into 0 46.217 * [backup-simplify]: Simplify 1 into 1 46.218 * [backup-simplify]: Simplify (/ 1 1) into 1 46.218 * [backup-simplify]: Simplify (sqrt 0) into 0 46.220 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 46.220 * [taylor]: Taking taylor expansion of (* (* (pow n (* 1/2 (- 1 k))) (pow (pow (* 2 PI) (* 1/4 (- 1 k))) 2)) (sqrt (/ 1 k))) in k 46.220 * [taylor]: Taking taylor expansion of (* (pow n (* 1/2 (- 1 k))) (pow (pow (* 2 PI) (* 1/4 (- 1 k))) 2)) in k 46.220 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in k 46.220 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in k 46.220 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in k 46.220 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 46.220 * [taylor]: Taking taylor expansion of 1/2 in k 46.220 * [backup-simplify]: Simplify 1/2 into 1/2 46.220 * [taylor]: Taking taylor expansion of (- 1 k) in k 46.220 * [taylor]: Taking taylor expansion of 1 in k 46.220 * [backup-simplify]: Simplify 1 into 1 46.220 * [taylor]: Taking taylor expansion of k in k 46.220 * [backup-simplify]: Simplify 0 into 0 46.220 * [backup-simplify]: Simplify 1 into 1 46.220 * [taylor]: Taking taylor expansion of (log n) in k 46.220 * [taylor]: Taking taylor expansion of n in k 46.220 * [backup-simplify]: Simplify n into n 46.220 * [backup-simplify]: Simplify (log n) into (log n) 46.221 * [backup-simplify]: Simplify (- 0) into 0 46.221 * [backup-simplify]: Simplify (+ 1 0) into 1 46.222 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 46.222 * [backup-simplify]: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 46.222 * [backup-simplify]: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 46.222 * [taylor]: Taking taylor expansion of (pow (pow (* 2 PI) (* 1/4 (- 1 k))) 2) in k 46.222 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/4 (- 1 k))) in k 46.222 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 PI)))) in k 46.222 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 PI))) in k 46.222 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in k 46.222 * [taylor]: Taking taylor expansion of 1/4 in k 46.222 * [backup-simplify]: Simplify 1/4 into 1/4 46.222 * [taylor]: Taking taylor expansion of (- 1 k) in k 46.222 * [taylor]: Taking taylor expansion of 1 in k 46.222 * [backup-simplify]: Simplify 1 into 1 46.222 * [taylor]: Taking taylor expansion of k in k 46.222 * [backup-simplify]: Simplify 0 into 0 46.222 * [backup-simplify]: Simplify 1 into 1 46.222 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 46.222 * [taylor]: Taking taylor expansion of (* 2 PI) in k 46.222 * [taylor]: Taking taylor expansion of 2 in k 46.222 * [backup-simplify]: Simplify 2 into 2 46.222 * [taylor]: Taking taylor expansion of PI in k 46.222 * [backup-simplify]: Simplify PI into PI 46.223 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 46.224 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 46.224 * [backup-simplify]: Simplify (- 0) into 0 46.225 * [backup-simplify]: Simplify (+ 1 0) into 1 46.225 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 46.227 * [backup-simplify]: Simplify (* 1/4 (log (* 2 PI))) into (* 1/4 (log (* 2 PI))) 46.229 * [backup-simplify]: Simplify (exp (* 1/4 (log (* 2 PI)))) into (pow (* 2 PI) 1/4) 46.229 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 46.229 * [taylor]: Taking taylor expansion of (/ 1 k) in k 46.229 * [taylor]: Taking taylor expansion of k in k 46.230 * [backup-simplify]: Simplify 0 into 0 46.230 * [backup-simplify]: Simplify 1 into 1 46.230 * [backup-simplify]: Simplify (/ 1 1) into 1 46.230 * [backup-simplify]: Simplify (sqrt 0) into 0 46.239 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 46.241 * [backup-simplify]: Simplify (* (pow (* 2 PI) 1/4) (pow (* 2 PI) 1/4)) into (sqrt (* PI 2)) 46.242 * [backup-simplify]: Simplify (* (pow n 1/2) (sqrt (* PI 2))) into (* (sqrt 2) (sqrt (* n PI))) 46.242 * [backup-simplify]: Simplify (* (* (sqrt 2) (sqrt (* n PI))) 0) into 0 46.243 * [taylor]: Taking taylor expansion of 0 in n 46.243 * [backup-simplify]: Simplify 0 into 0 46.243 * [backup-simplify]: Simplify 0 into 0 46.243 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 46.244 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 46.244 * [backup-simplify]: Simplify (- 1) into -1 46.245 * [backup-simplify]: Simplify (+ 0 -1) into -1 46.245 * [backup-simplify]: Simplify (+ (* 1/4 -1) (* 0 1)) into -1/4 46.247 * [backup-simplify]: Simplify (+ (* 1/4 0) (* -1/4 (log (* 2 PI)))) into (- (* 1/4 (log (* 2 PI)))) 46.254 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/4 (log (* 2 PI)))) 1) 1)))) into (* -1/4 (* (pow (* PI 2) 1/4) (log (* 2 PI)))) 46.263 * [backup-simplify]: Simplify (+ (* (pow (* 2 PI) 1/4) (* -1/4 (* (pow (* PI 2) 1/4) (log (* 2 PI))))) (* (* -1/4 (* (pow (* PI 2) 1/4) (log (* 2 PI)))) (pow (* 2 PI) 1/4))) into (- (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt PI)))) 46.264 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 46.264 * [backup-simplify]: Simplify (- 1) into -1 46.264 * [backup-simplify]: Simplify (+ 0 -1) into -1 46.265 * [backup-simplify]: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2 46.266 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log n))) into (- (* 1/2 (log n))) 46.266 * [backup-simplify]: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 46.270 * [backup-simplify]: Simplify (+ (* (pow n 1/2) (- (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt PI))))) (* (* -1/2 (* (sqrt n) (log n))) (sqrt (* PI 2)))) into (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))) 46.272 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) (sqrt (* n PI))) +nan.0) (* (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) 46.272 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 46.272 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 46.272 * [taylor]: Taking taylor expansion of +nan.0 in n 46.272 * [backup-simplify]: Simplify +nan.0 into +nan.0 46.272 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 46.272 * [taylor]: Taking taylor expansion of (sqrt 2) in n 46.272 * [taylor]: Taking taylor expansion of 2 in n 46.272 * [backup-simplify]: Simplify 2 into 2 46.272 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 46.273 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 46.273 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 46.273 * [taylor]: Taking taylor expansion of (* n PI) in n 46.273 * [taylor]: Taking taylor expansion of n in n 46.273 * [backup-simplify]: Simplify 0 into 0 46.273 * [backup-simplify]: Simplify 1 into 1 46.273 * [taylor]: Taking taylor expansion of PI in n 46.273 * [backup-simplify]: Simplify PI into PI 46.273 * [backup-simplify]: Simplify (* 0 PI) into 0 46.274 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 46.274 * [backup-simplify]: Simplify (sqrt 0) into 0 46.275 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 46.276 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 46.276 * [backup-simplify]: Simplify (* +nan.0 0) into 0 46.276 * [backup-simplify]: Simplify (- 0) into 0 46.276 * [backup-simplify]: Simplify 0 into 0 46.276 * [backup-simplify]: Simplify 0 into 0 46.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 46.278 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 46.279 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 46.281 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 46.281 * [backup-simplify]: Simplify (- 0) into 0 46.281 * [backup-simplify]: Simplify (+ 0 0) into 0 46.282 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 -1) (* 0 1))) into 0 46.283 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* -1/4 0) (* 0 (log (* 2 PI))))) into 0 46.291 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/4 (log (* 2 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (* (pow (* PI 2) 1/4) (pow (log (* 2 PI)) 2))) 46.309 * [backup-simplify]: Simplify (+ (* (pow (* 2 PI) 1/4) (* 1/32 (* (pow (* PI 2) 1/4) (pow (log (* 2 PI)) 2)))) (+ (* (* -1/4 (* (pow (* PI 2) 1/4) (log (* 2 PI)))) (* -1/4 (* (pow (* PI 2) 1/4) (log (* 2 PI))))) (* (* 1/32 (* (pow (* PI 2) 1/4) (pow (log (* 2 PI)) 2))) (pow (* 2 PI) 1/4)))) into (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt PI))) 46.311 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 46.311 * [backup-simplify]: Simplify (- 0) into 0 46.311 * [backup-simplify]: Simplify (+ 0 0) into 0 46.312 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0 46.312 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log n)))) into 0 46.313 * [backup-simplify]: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 46.324 * [backup-simplify]: Simplify (+ (* (pow n 1/2) (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt PI)))) (+ (* (* -1/2 (* (sqrt n) (log n))) (- (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt PI))))) (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (sqrt (* PI 2))))) into (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (* 1/4 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))))) 46.336 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) (sqrt (* n PI))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))) +nan.0) (* (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (* 1/4 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))))) 46.336 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))))) in n 46.336 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))))) in n 46.336 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) in n 46.336 * [taylor]: Taking taylor expansion of +nan.0 in n 46.336 * [backup-simplify]: Simplify +nan.0 into +nan.0 46.336 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI))) in n 46.336 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 PI))) in n 46.336 * [taylor]: Taking taylor expansion of (sqrt 2) in n 46.336 * [taylor]: Taking taylor expansion of 2 in n 46.336 * [backup-simplify]: Simplify 2 into 2 46.336 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 46.337 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 46.337 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 46.337 * [taylor]: Taking taylor expansion of (* 2 PI) in n 46.337 * [taylor]: Taking taylor expansion of 2 in n 46.337 * [backup-simplify]: Simplify 2 into 2 46.337 * [taylor]: Taking taylor expansion of PI in n 46.337 * [backup-simplify]: Simplify PI into PI 46.337 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 46.338 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 46.338 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 46.338 * [taylor]: Taking taylor expansion of (* n PI) in n 46.338 * [taylor]: Taking taylor expansion of n in n 46.338 * [backup-simplify]: Simplify 0 into 0 46.338 * [backup-simplify]: Simplify 1 into 1 46.338 * [taylor]: Taking taylor expansion of PI in n 46.338 * [backup-simplify]: Simplify PI into PI 46.338 * [backup-simplify]: Simplify (* 0 PI) into 0 46.339 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 46.339 * [backup-simplify]: Simplify (sqrt 0) into 0 46.340 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 46.340 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) in n 46.340 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))) in n 46.340 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 46.340 * [taylor]: Taking taylor expansion of +nan.0 in n 46.340 * [backup-simplify]: Simplify +nan.0 into +nan.0 46.340 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 46.340 * [taylor]: Taking taylor expansion of (sqrt 2) in n 46.340 * [taylor]: Taking taylor expansion of 2 in n 46.340 * [backup-simplify]: Simplify 2 into 2 46.341 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 46.341 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 46.341 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 46.341 * [taylor]: Taking taylor expansion of (* n PI) in n 46.341 * [taylor]: Taking taylor expansion of n in n 46.341 * [backup-simplify]: Simplify 0 into 0 46.341 * [backup-simplify]: Simplify 1 into 1 46.341 * [taylor]: Taking taylor expansion of PI in n 46.341 * [backup-simplify]: Simplify PI into PI 46.341 * [backup-simplify]: Simplify (* 0 PI) into 0 46.342 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 46.343 * [backup-simplify]: Simplify (sqrt 0) into 0 46.343 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 46.343 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))) in n 46.343 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) in n 46.343 * [taylor]: Taking taylor expansion of +nan.0 in n 46.343 * [backup-simplify]: Simplify +nan.0 into +nan.0 46.343 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log n)) (sqrt (* n PI))) in n 46.343 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log n)) in n 46.343 * [taylor]: Taking taylor expansion of (sqrt 2) in n 46.343 * [taylor]: Taking taylor expansion of 2 in n 46.343 * [backup-simplify]: Simplify 2 into 2 46.344 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 46.344 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 46.344 * [taylor]: Taking taylor expansion of (log n) in n 46.344 * [taylor]: Taking taylor expansion of n in n 46.344 * [backup-simplify]: Simplify 0 into 0 46.344 * [backup-simplify]: Simplify 1 into 1 46.344 * [backup-simplify]: Simplify (log 1) into 0 46.344 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 46.344 * [taylor]: Taking taylor expansion of (* n PI) in n 46.344 * [taylor]: Taking taylor expansion of n in n 46.345 * [backup-simplify]: Simplify 0 into 0 46.345 * [backup-simplify]: Simplify 1 into 1 46.345 * [taylor]: Taking taylor expansion of PI in n 46.345 * [backup-simplify]: Simplify PI into PI 46.345 * [backup-simplify]: Simplify (* 0 PI) into 0 46.346 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 46.346 * [backup-simplify]: Simplify (sqrt 0) into 0 46.347 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 46.348 * [backup-simplify]: Simplify (* (sqrt 2) (log (* 2 PI))) into (* (sqrt 2) (log (* 2 PI))) 46.349 * [backup-simplify]: Simplify (* (* (sqrt 2) (log (* 2 PI))) 0) into 0 46.349 * [backup-simplify]: Simplify (* +nan.0 0) into 0 46.349 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 46.350 * [backup-simplify]: Simplify (* +nan.0 0) into 0 46.350 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 46.350 * [backup-simplify]: Simplify (* (sqrt 2) (log n)) into (* (sqrt 2) (log n)) 46.350 * [backup-simplify]: Simplify (* (* (sqrt 2) (log n)) 0) into 0 46.351 * [backup-simplify]: Simplify (* +nan.0 0) into 0 46.351 * [backup-simplify]: Simplify (- 0) into 0 46.351 * [backup-simplify]: Simplify (+ 0 0) into 0 46.351 * [backup-simplify]: Simplify (- 0) into 0 46.352 * [backup-simplify]: Simplify (+ 0 0) into 0 46.352 * [backup-simplify]: Simplify (- 0) into 0 46.352 * [backup-simplify]: Simplify 0 into 0 46.354 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 46.357 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 46.360 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 46.363 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 46.363 * [backup-simplify]: Simplify 0 into 0 46.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 46.368 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 46.369 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 46.374 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 46.374 * [backup-simplify]: Simplify (- 0) into 0 46.374 * [backup-simplify]: Simplify (+ 0 0) into 0 46.375 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))) into 0 46.376 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* -1/4 0) (+ (* 0 0) (* 0 (log (* 2 PI)))))) into 0 46.387 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/4 (log (* 2 PI)))) 3) 6)) (* (/ (pow (- (* 1/4 (log (* 2 PI)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/384 (* (pow (* PI 2) 1/4) (pow (log (* 2 PI)) 3))) 46.431 * [backup-simplify]: Simplify (+ (* (pow (* 2 PI) 1/4) (* -1/384 (* (pow (* PI 2) 1/4) (pow (log (* 2 PI)) 3)))) (+ (* (* -1/4 (* (pow (* PI 2) 1/4) (log (* 2 PI)))) (* 1/32 (* (pow (* PI 2) 1/4) (pow (log (* 2 PI)) 2)))) (+ (* (* 1/32 (* (pow (* PI 2) 1/4) (pow (log (* 2 PI)) 2))) (* -1/4 (* (pow (* PI 2) 1/4) (log (* 2 PI))))) (* (* -1/384 (* (pow (* PI 2) 1/4) (pow (log (* 2 PI)) 3))) (pow (* 2 PI) 1/4))))) into (- (* 1/48 (* (* (sqrt 2) (pow (log (* 2 PI)) 3)) (sqrt PI)))) 46.434 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0 46.441 * [backup-simplify]: Simplify (- 0) into 0 46.442 * [backup-simplify]: Simplify (+ 0 0) into 0 46.443 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))) into 0 46.444 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log n))))) into 0 46.445 * [backup-simplify]: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 3) 6)) (* (/ (pow (- (* 1/2 (log n))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt n) (pow (log n) 3))) 46.466 * [backup-simplify]: Simplify (+ (* (pow n 1/2) (- (* 1/48 (* (* (sqrt 2) (pow (log (* 2 PI)) 3)) (sqrt PI))))) (+ (* (* -1/2 (* (sqrt n) (log n))) (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt PI)))) (+ (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (- (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt PI))))) (* (* -1/48 (* (sqrt n) (pow (log n) 3))) (sqrt (* PI 2)))))) into (- (+ (* 1/48 (* (* (sqrt 2) (pow (log n) 3)) (sqrt (* n PI)))) (+ (* 1/16 (* (* (sqrt 2) (* (log n) (pow (log (* 2 PI)) 2))) (sqrt (* n PI)))) (+ (* 1/16 (* (* (sqrt 2) (* (pow (log n) 2) (log (* 2 PI)))) (sqrt (* n PI)))) (* 1/48 (* (* (sqrt 2) (pow (log (* 2 PI)) 3)) (sqrt (* n PI)))))))) 46.484 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) (sqrt (* n PI))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))) +nan.0) (+ (* (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (* 1/4 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))))) +nan.0) (* (- (+ (* 1/48 (* (* (sqrt 2) (pow (log n) 3)) (sqrt (* n PI)))) (+ (* 1/16 (* (* (sqrt 2) (* (log n) (pow (log (* 2 PI)) 2))) (sqrt (* n PI)))) (+ (* 1/16 (* (* (sqrt 2) (* (pow (log n) 2) (log (* 2 PI)))) (sqrt (* n PI)))) (* 1/48 (* (* (sqrt 2) (pow (log (* 2 PI)) 3)) (sqrt (* n PI)))))))) 0)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI))))))))))))))) 46.484 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI))))))))))))))) in n 46.484 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))))))))))))) in n 46.484 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) in n 46.484 * [taylor]: Taking taylor expansion of +nan.0 in n 46.484 * [backup-simplify]: Simplify +nan.0 into +nan.0 46.484 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI))) in n 46.484 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow (log n) 2)) in n 46.484 * [taylor]: Taking taylor expansion of (sqrt 2) in n 46.484 * [taylor]: Taking taylor expansion of 2 in n 46.484 * [backup-simplify]: Simplify 2 into 2 46.485 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 46.485 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 46.485 * [taylor]: Taking taylor expansion of (pow (log n) 2) in n 46.485 * [taylor]: Taking taylor expansion of (log n) in n 46.485 * [taylor]: Taking taylor expansion of n in n 46.485 * [backup-simplify]: Simplify 0 into 0 46.485 * [backup-simplify]: Simplify 1 into 1 46.486 * [backup-simplify]: Simplify (log 1) into 0 46.487 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 46.487 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 46.487 * [taylor]: Taking taylor expansion of (* n PI) in n 46.487 * [taylor]: Taking taylor expansion of n in n 46.487 * [backup-simplify]: Simplify 0 into 0 46.487 * [backup-simplify]: Simplify 1 into 1 46.487 * [taylor]: Taking taylor expansion of PI in n 46.487 * [backup-simplify]: Simplify PI into PI 46.487 * [backup-simplify]: Simplify (* 0 PI) into 0 46.488 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 46.489 * [backup-simplify]: Simplify (sqrt 0) into 0 46.490 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 46.490 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI))))))))))))) in n 46.490 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))))))))))) in n 46.490 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) in n 46.490 * [taylor]: Taking taylor expansion of +nan.0 in n 46.490 * [backup-simplify]: Simplify +nan.0 into +nan.0 46.490 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log n)) (sqrt (* n PI))) in n 46.491 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log n)) in n 46.491 * [taylor]: Taking taylor expansion of (sqrt 2) in n 46.491 * [taylor]: Taking taylor expansion of 2 in n 46.491 * [backup-simplify]: Simplify 2 into 2 46.491 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 46.492 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 46.492 * [taylor]: Taking taylor expansion of (log n) in n 46.492 * [taylor]: Taking taylor expansion of n in n 46.492 * [backup-simplify]: Simplify 0 into 0 46.492 * [backup-simplify]: Simplify 1 into 1 46.492 * [backup-simplify]: Simplify (log 1) into 0 46.492 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 46.492 * [taylor]: Taking taylor expansion of (* n PI) in n 46.492 * [taylor]: Taking taylor expansion of n in n 46.492 * [backup-simplify]: Simplify 0 into 0 46.492 * [backup-simplify]: Simplify 1 into 1 46.492 * [taylor]: Taking taylor expansion of PI in n 46.492 * [backup-simplify]: Simplify PI into PI 46.493 * [backup-simplify]: Simplify (* 0 PI) into 0 46.494 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 46.495 * [backup-simplify]: Simplify (sqrt 0) into 0 46.496 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 46.496 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI))))))))))) in n 46.496 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))))))))) in n 46.496 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) in n 46.496 * [taylor]: Taking taylor expansion of +nan.0 in n 46.496 * [backup-simplify]: Simplify +nan.0 into +nan.0 46.496 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI))) in n 46.496 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 PI))) in n 46.496 * [taylor]: Taking taylor expansion of (sqrt 2) in n 46.496 * [taylor]: Taking taylor expansion of 2 in n 46.496 * [backup-simplify]: Simplify 2 into 2 46.497 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 46.497 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 46.497 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 46.497 * [taylor]: Taking taylor expansion of (* 2 PI) in n 46.497 * [taylor]: Taking taylor expansion of 2 in n 46.497 * [backup-simplify]: Simplify 2 into 2 46.497 * [taylor]: Taking taylor expansion of PI in n 46.497 * [backup-simplify]: Simplify PI into PI 46.498 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 46.499 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 46.499 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 46.499 * [taylor]: Taking taylor expansion of (* n PI) in n 46.499 * [taylor]: Taking taylor expansion of n in n 46.499 * [backup-simplify]: Simplify 0 into 0 46.499 * [backup-simplify]: Simplify 1 into 1 46.499 * [taylor]: Taking taylor expansion of PI in n 46.499 * [backup-simplify]: Simplify PI into PI 46.499 * [backup-simplify]: Simplify (* 0 PI) into 0 46.501 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 46.501 * [backup-simplify]: Simplify (sqrt 0) into 0 46.503 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 46.503 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI))))))))) in n 46.503 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))))))) in n 46.503 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) in n 46.503 * [taylor]: Taking taylor expansion of +nan.0 in n 46.503 * [backup-simplify]: Simplify +nan.0 into +nan.0 46.503 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI))) in n 46.503 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 PI)) 2)) in n 46.503 * [taylor]: Taking taylor expansion of (sqrt 2) in n 46.503 * [taylor]: Taking taylor expansion of 2 in n 46.503 * [backup-simplify]: Simplify 2 into 2 46.503 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 46.504 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 46.504 * [taylor]: Taking taylor expansion of (pow (log (* 2 PI)) 2) in n 46.504 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 46.504 * [taylor]: Taking taylor expansion of (* 2 PI) in n 46.504 * [taylor]: Taking taylor expansion of 2 in n 46.504 * [backup-simplify]: Simplify 2 into 2 46.504 * [taylor]: Taking taylor expansion of PI in n 46.504 * [backup-simplify]: Simplify PI into PI 46.504 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 46.505 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 46.505 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 46.505 * [taylor]: Taking taylor expansion of (* n PI) in n 46.505 * [taylor]: Taking taylor expansion of n in n 46.505 * [backup-simplify]: Simplify 0 into 0 46.506 * [backup-simplify]: Simplify 1 into 1 46.506 * [taylor]: Taking taylor expansion of PI in n 46.506 * [backup-simplify]: Simplify PI into PI 46.506 * [backup-simplify]: Simplify (* 0 PI) into 0 46.507 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 46.508 * [backup-simplify]: Simplify (sqrt 0) into 0 46.509 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 46.509 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI))))))) in n 46.509 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))))) in n 46.509 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 46.509 * [taylor]: Taking taylor expansion of +nan.0 in n 46.509 * [backup-simplify]: Simplify +nan.0 into +nan.0 46.509 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 46.509 * [taylor]: Taking taylor expansion of (sqrt 2) in n 46.509 * [taylor]: Taking taylor expansion of 2 in n 46.509 * [backup-simplify]: Simplify 2 into 2 46.509 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 46.510 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 46.510 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 46.510 * [taylor]: Taking taylor expansion of (* n PI) in n 46.510 * [taylor]: Taking taylor expansion of n in n 46.510 * [backup-simplify]: Simplify 0 into 0 46.510 * [backup-simplify]: Simplify 1 into 1 46.510 * [taylor]: Taking taylor expansion of PI in n 46.510 * [backup-simplify]: Simplify PI into PI 46.511 * [backup-simplify]: Simplify (* 0 PI) into 0 46.512 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 46.512 * [backup-simplify]: Simplify (sqrt 0) into 0 46.513 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 46.513 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI))))) in n 46.513 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))) in n 46.514 * [taylor]: Taking taylor expansion of +nan.0 in n 46.514 * [backup-simplify]: Simplify +nan.0 into +nan.0 46.514 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI))) in n 46.514 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (log n) (log (* 2 PI)))) in n 46.514 * [taylor]: Taking taylor expansion of (sqrt 2) in n 46.514 * [taylor]: Taking taylor expansion of 2 in n 46.514 * [backup-simplify]: Simplify 2 into 2 46.514 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 46.515 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 46.515 * [taylor]: Taking taylor expansion of (* (log n) (log (* 2 PI))) in n 46.515 * [taylor]: Taking taylor expansion of (log n) in n 46.515 * [taylor]: Taking taylor expansion of n in n 46.515 * [backup-simplify]: Simplify 0 into 0 46.515 * [backup-simplify]: Simplify 1 into 1 46.515 * [backup-simplify]: Simplify (log 1) into 0 46.515 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 46.515 * [taylor]: Taking taylor expansion of (* 2 PI) in n 46.515 * [taylor]: Taking taylor expansion of 2 in n 46.515 * [backup-simplify]: Simplify 2 into 2 46.515 * [taylor]: Taking taylor expansion of PI in n 46.515 * [backup-simplify]: Simplify PI into PI 46.516 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 46.516 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 46.516 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 46.517 * [taylor]: Taking taylor expansion of (* n PI) in n 46.517 * [taylor]: Taking taylor expansion of n in n 46.517 * [backup-simplify]: Simplify 0 into 0 46.517 * [backup-simplify]: Simplify 1 into 1 46.517 * [taylor]: Taking taylor expansion of PI in n 46.517 * [backup-simplify]: Simplify PI into PI 46.517 * [backup-simplify]: Simplify (* 0 PI) into 0 46.518 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 46.519 * [backup-simplify]: Simplify (sqrt 0) into 0 46.520 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 46.520 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 46.521 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 46.521 * [backup-simplify]: Simplify (* (log n) (log n)) into (pow (log n) 2) 46.521 * [backup-simplify]: Simplify (* (sqrt 2) (pow (log n) 2)) into (* (sqrt 2) (pow (log n) 2)) 46.522 * [backup-simplify]: Simplify (* (* (sqrt 2) (pow (log n) 2)) 0) into 0 46.522 * [backup-simplify]: Simplify (* +nan.0 0) into 0 46.523 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 46.523 * [backup-simplify]: Simplify (* (sqrt 2) (log n)) into (* (sqrt 2) (log n)) 46.523 * [backup-simplify]: Simplify (* (* (sqrt 2) (log n)) 0) into 0 46.524 * [backup-simplify]: Simplify (* +nan.0 0) into 0 46.526 * [backup-simplify]: Simplify (* (sqrt 2) (log (* 2 PI))) into (* (sqrt 2) (log (* 2 PI))) 46.527 * [backup-simplify]: Simplify (* (* (sqrt 2) (log (* 2 PI))) 0) into 0 46.527 * [backup-simplify]: Simplify (* +nan.0 0) into 0 46.529 * [backup-simplify]: Simplify (* (log (* 2 PI)) (log (* 2 PI))) into (pow (log (* 2 PI)) 2) 46.532 * [backup-simplify]: Simplify (* (sqrt 2) (pow (log (* 2 PI)) 2)) into (* (sqrt 2) (pow (log (* 2 PI)) 2)) 46.533 * [backup-simplify]: Simplify (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) 0) into 0 46.534 * [backup-simplify]: Simplify (* +nan.0 0) into 0 46.534 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 46.534 * [backup-simplify]: Simplify (* +nan.0 0) into 0 46.535 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 46.536 * [backup-simplify]: Simplify (* (log n) (log (* 2 PI))) into (* (log n) (log (* 2 PI))) 46.537 * [backup-simplify]: Simplify (* (sqrt 2) (* (log n) (log (* 2 PI)))) into (* (sqrt 2) (* (log n) (log (* 2 PI)))) 46.538 * [backup-simplify]: Simplify (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) 0) into 0 46.539 * [backup-simplify]: Simplify (* +nan.0 0) into 0 46.539 * [backup-simplify]: Simplify (- 0) into 0 46.540 * [backup-simplify]: Simplify (+ 0 0) into 0 46.540 * [backup-simplify]: Simplify (- 0) into 0 46.540 * [backup-simplify]: Simplify (+ 0 0) into 0 46.541 * [backup-simplify]: Simplify (- 0) into 0 46.541 * [backup-simplify]: Simplify (+ 0 0) into 0 46.541 * [backup-simplify]: Simplify (- 0) into 0 46.542 * [backup-simplify]: Simplify (+ 0 0) into 0 46.542 * [backup-simplify]: Simplify (- 0) into 0 46.543 * [backup-simplify]: Simplify (+ 0 0) into 0 46.543 * [backup-simplify]: Simplify (- 0) into 0 46.543 * [backup-simplify]: Simplify 0 into 0 46.544 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 46.545 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 46.547 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (log (* 2 PI)))) into 0 46.552 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) (log (* 2 PI))) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))) 46.561 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))) 46.564 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 46.569 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 46.576 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 46.577 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 46.577 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (log n))) into 0 46.578 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) (log n)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI (log n))))) 46.579 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* PI (log n)))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI (log n))))) 46.580 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) (* PI (log n)))))) into (- (* +nan.0 (* (sqrt 2) (* PI (log n))))) 46.583 * [backup-simplify]: Simplify (+ (- (* +nan.0 (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) (* PI (log n)))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))) 46.586 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI)))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))) 46.595 * [backup-simplify]: Simplify (+ (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI)))))) into (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))))) 46.604 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) 46.611 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) 46.612 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 46.616 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 46.618 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 46.623 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 46.631 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 46.635 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 46.638 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 46.647 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) (* n k)) (* (- (* +nan.0 (* (sqrt 2) PI))) (* n 1)))) into (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))) 46.648 * [backup-simplify]: Simplify (* (* (* (/ 1 (sqrt (/ 1 k))) (pow (* 2 PI) (/ (/ (- 1 (/ 1 k)) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 (/ 1 k)) 2) 2))) (pow (/ 1 n) (/ (- 1 (/ 1 k)) 2))) into (* (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) 2)) (sqrt k)) 46.648 * [approximate]: Taking taylor expansion of (* (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) 2)) (sqrt k)) in (k n) around 0 46.648 * [taylor]: Taking taylor expansion of (* (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) 2)) (sqrt k)) in n 46.648 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) 2)) in n 46.648 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in n 46.648 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in n 46.648 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in n 46.648 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 46.648 * [taylor]: Taking taylor expansion of 1/2 in n 46.648 * [backup-simplify]: Simplify 1/2 into 1/2 46.648 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 46.648 * [taylor]: Taking taylor expansion of 1 in n 46.648 * [backup-simplify]: Simplify 1 into 1 46.648 * [taylor]: Taking taylor expansion of (/ 1 k) in n 46.648 * [taylor]: Taking taylor expansion of k in n 46.648 * [backup-simplify]: Simplify k into k 46.648 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 46.648 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 46.648 * [taylor]: Taking taylor expansion of (/ 1 n) in n 46.648 * [taylor]: Taking taylor expansion of n in n 46.648 * [backup-simplify]: Simplify 0 into 0 46.648 * [backup-simplify]: Simplify 1 into 1 46.649 * [backup-simplify]: Simplify (/ 1 1) into 1 46.649 * [backup-simplify]: Simplify (log 1) into 0 46.649 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 46.649 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 46.649 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 46.649 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 46.649 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log n))) into (* -1/2 (* (- 1 (/ 1 k)) (log n))) 46.649 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 46.649 * [taylor]: Taking taylor expansion of (pow (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) 2) in n 46.649 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) in n 46.650 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 PI)))) in n 46.650 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 PI))) in n 46.650 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n 46.650 * [taylor]: Taking taylor expansion of 1/4 in n 46.650 * [backup-simplify]: Simplify 1/4 into 1/4 46.650 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 46.650 * [taylor]: Taking taylor expansion of 1 in n 46.650 * [backup-simplify]: Simplify 1 into 1 46.650 * [taylor]: Taking taylor expansion of (/ 1 k) in n 46.650 * [taylor]: Taking taylor expansion of k in n 46.650 * [backup-simplify]: Simplify k into k 46.650 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 46.650 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 46.650 * [taylor]: Taking taylor expansion of (* 2 PI) in n 46.650 * [taylor]: Taking taylor expansion of 2 in n 46.650 * [backup-simplify]: Simplify 2 into 2 46.650 * [taylor]: Taking taylor expansion of PI in n 46.650 * [backup-simplify]: Simplify PI into PI 46.650 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 46.651 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 46.651 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 46.651 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 46.651 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k))) 46.651 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 PI))) into (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI)))) 46.652 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 46.652 * [taylor]: Taking taylor expansion of (sqrt k) in n 46.652 * [taylor]: Taking taylor expansion of k in n 46.652 * [backup-simplify]: Simplify k into k 46.652 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 46.652 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 46.652 * [taylor]: Taking taylor expansion of (* (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) 2)) (sqrt k)) in k 46.652 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) 2)) in k 46.652 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in k 46.652 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in k 46.652 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in k 46.652 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 46.652 * [taylor]: Taking taylor expansion of 1/2 in k 46.652 * [backup-simplify]: Simplify 1/2 into 1/2 46.652 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 46.652 * [taylor]: Taking taylor expansion of 1 in k 46.652 * [backup-simplify]: Simplify 1 into 1 46.652 * [taylor]: Taking taylor expansion of (/ 1 k) in k 46.653 * [taylor]: Taking taylor expansion of k in k 46.653 * [backup-simplify]: Simplify 0 into 0 46.653 * [backup-simplify]: Simplify 1 into 1 46.653 * [backup-simplify]: Simplify (/ 1 1) into 1 46.653 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 46.653 * [taylor]: Taking taylor expansion of (/ 1 n) in k 46.653 * [taylor]: Taking taylor expansion of n in k 46.653 * [backup-simplify]: Simplify n into n 46.653 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 46.653 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 46.653 * [backup-simplify]: Simplify (- 1) into -1 46.653 * [backup-simplify]: Simplify (+ 0 -1) into -1 46.654 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 46.654 * [backup-simplify]: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 46.654 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) 46.654 * [taylor]: Taking taylor expansion of (pow (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) 2) in k 46.654 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) in k 46.654 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 PI)))) in k 46.654 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 PI))) in k 46.654 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in k 46.654 * [taylor]: Taking taylor expansion of 1/4 in k 46.654 * [backup-simplify]: Simplify 1/4 into 1/4 46.654 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 46.654 * [taylor]: Taking taylor expansion of 1 in k 46.654 * [backup-simplify]: Simplify 1 into 1 46.654 * [taylor]: Taking taylor expansion of (/ 1 k) in k 46.654 * [taylor]: Taking taylor expansion of k in k 46.654 * [backup-simplify]: Simplify 0 into 0 46.654 * [backup-simplify]: Simplify 1 into 1 46.654 * [backup-simplify]: Simplify (/ 1 1) into 1 46.654 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 46.654 * [taylor]: Taking taylor expansion of (* 2 PI) in k 46.654 * [taylor]: Taking taylor expansion of 2 in k 46.654 * [backup-simplify]: Simplify 2 into 2 46.654 * [taylor]: Taking taylor expansion of PI in k 46.654 * [backup-simplify]: Simplify PI into PI 46.655 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 46.655 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 46.656 * [backup-simplify]: Simplify (- 1) into -1 46.656 * [backup-simplify]: Simplify (+ 0 -1) into -1 46.656 * [backup-simplify]: Simplify (* 1/4 -1) into -1/4 46.657 * [backup-simplify]: Simplify (* -1/4 (log (* 2 PI))) into (* -1/4 (log (* 2 PI))) 46.658 * [backup-simplify]: Simplify (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 PI)))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 46.658 * [taylor]: Taking taylor expansion of (sqrt k) in k 46.658 * [taylor]: Taking taylor expansion of k in k 46.658 * [backup-simplify]: Simplify 0 into 0 46.658 * [backup-simplify]: Simplify 1 into 1 46.658 * [backup-simplify]: Simplify (sqrt 0) into 0 46.659 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 46.659 * [taylor]: Taking taylor expansion of (* (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) 2)) (sqrt k)) in k 46.659 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) 2)) in k 46.659 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in k 46.659 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in k 46.659 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in k 46.659 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 46.659 * [taylor]: Taking taylor expansion of 1/2 in k 46.659 * [backup-simplify]: Simplify 1/2 into 1/2 46.659 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 46.659 * [taylor]: Taking taylor expansion of 1 in k 46.659 * [backup-simplify]: Simplify 1 into 1 46.659 * [taylor]: Taking taylor expansion of (/ 1 k) in k 46.659 * [taylor]: Taking taylor expansion of k in k 46.659 * [backup-simplify]: Simplify 0 into 0 46.659 * [backup-simplify]: Simplify 1 into 1 46.660 * [backup-simplify]: Simplify (/ 1 1) into 1 46.660 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 46.660 * [taylor]: Taking taylor expansion of (/ 1 n) in k 46.660 * [taylor]: Taking taylor expansion of n in k 46.660 * [backup-simplify]: Simplify n into n 46.660 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 46.660 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 46.660 * [backup-simplify]: Simplify (- 1) into -1 46.660 * [backup-simplify]: Simplify (+ 0 -1) into -1 46.661 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 46.661 * [backup-simplify]: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 46.661 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) 46.661 * [taylor]: Taking taylor expansion of (pow (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) 2) in k 46.661 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) in k 46.661 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 PI)))) in k 46.661 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 PI))) in k 46.661 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in k 46.661 * [taylor]: Taking taylor expansion of 1/4 in k 46.661 * [backup-simplify]: Simplify 1/4 into 1/4 46.661 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 46.661 * [taylor]: Taking taylor expansion of 1 in k 46.661 * [backup-simplify]: Simplify 1 into 1 46.661 * [taylor]: Taking taylor expansion of (/ 1 k) in k 46.661 * [taylor]: Taking taylor expansion of k in k 46.661 * [backup-simplify]: Simplify 0 into 0 46.661 * [backup-simplify]: Simplify 1 into 1 46.661 * [backup-simplify]: Simplify (/ 1 1) into 1 46.661 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 46.661 * [taylor]: Taking taylor expansion of (* 2 PI) in k 46.661 * [taylor]: Taking taylor expansion of 2 in k 46.661 * [backup-simplify]: Simplify 2 into 2 46.661 * [taylor]: Taking taylor expansion of PI in k 46.661 * [backup-simplify]: Simplify PI into PI 46.662 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 46.662 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 46.662 * [backup-simplify]: Simplify (- 1) into -1 46.663 * [backup-simplify]: Simplify (+ 0 -1) into -1 46.663 * [backup-simplify]: Simplify (* 1/4 -1) into -1/4 46.664 * [backup-simplify]: Simplify (* -1/4 (log (* 2 PI))) into (* -1/4 (log (* 2 PI))) 46.665 * [backup-simplify]: Simplify (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 PI)))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 46.665 * [taylor]: Taking taylor expansion of (sqrt k) in k 46.665 * [taylor]: Taking taylor expansion of k in k 46.665 * [backup-simplify]: Simplify 0 into 0 46.665 * [backup-simplify]: Simplify 1 into 1 46.665 * [backup-simplify]: Simplify (sqrt 0) into 0 46.666 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 46.667 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) into (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) 46.668 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2)) into (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2)) 46.669 * [backup-simplify]: Simplify (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2)) 0) into 0 46.669 * [taylor]: Taking taylor expansion of 0 in n 46.669 * [backup-simplify]: Simplify 0 into 0 46.669 * [backup-simplify]: Simplify 0 into 0 46.670 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 0) (* 0 (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) into 0 46.671 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) 0) (* 0 (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2))) into 0 46.672 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2)) +nan.0) (* 0 0)) into (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2)))) 46.672 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2)))) in n 46.672 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2))) in n 46.672 * [taylor]: Taking taylor expansion of +nan.0 in n 46.672 * [backup-simplify]: Simplify +nan.0 into +nan.0 46.672 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2)) in n 46.672 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) in n 46.672 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n)))) in n 46.672 * [taylor]: Taking taylor expansion of 1/2 in n 46.672 * [backup-simplify]: Simplify 1/2 into 1/2 46.672 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (/ 1 n))) in n 46.672 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 46.672 * [taylor]: Taking taylor expansion of 1 in n 46.672 * [backup-simplify]: Simplify 1 into 1 46.672 * [taylor]: Taking taylor expansion of (/ 1 k) in n 46.672 * [taylor]: Taking taylor expansion of k in n 46.672 * [backup-simplify]: Simplify k into k 46.672 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 46.672 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 46.672 * [taylor]: Taking taylor expansion of (/ 1 n) in n 46.672 * [taylor]: Taking taylor expansion of n in n 46.672 * [backup-simplify]: Simplify 0 into 0 46.672 * [backup-simplify]: Simplify 1 into 1 46.673 * [backup-simplify]: Simplify (/ 1 1) into 1 46.673 * [backup-simplify]: Simplify (log 1) into 0 46.673 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 46.673 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 46.674 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 46.674 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log n))) into (* -1 (* (- 1 (/ 1 k)) (log n))) 46.674 * [backup-simplify]: Simplify (* 1/2 (* -1 (* (- 1 (/ 1 k)) (log n)))) into (* -1/2 (* (- 1 (/ 1 k)) (log n))) 46.674 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 46.674 * [taylor]: Taking taylor expansion of (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) in n 46.674 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) in n 46.674 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI)))) in n 46.674 * [taylor]: Taking taylor expansion of 1/4 in n 46.674 * [backup-simplify]: Simplify 1/4 into 1/4 46.674 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 PI))) in n 46.674 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 46.674 * [taylor]: Taking taylor expansion of 1 in n 46.674 * [backup-simplify]: Simplify 1 into 1 46.674 * [taylor]: Taking taylor expansion of (/ 1 k) in n 46.674 * [taylor]: Taking taylor expansion of k in n 46.674 * [backup-simplify]: Simplify k into k 46.674 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 46.674 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 46.674 * [taylor]: Taking taylor expansion of (* 2 PI) in n 46.674 * [taylor]: Taking taylor expansion of 2 in n 46.674 * [backup-simplify]: Simplify 2 into 2 46.674 * [taylor]: Taking taylor expansion of PI in n 46.675 * [backup-simplify]: Simplify PI into PI 46.675 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 46.676 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 46.676 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 46.676 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 46.677 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (log (* 2 PI))) into (* (- 1 (/ 1 k)) (log (* 2 PI))) 46.678 * [backup-simplify]: Simplify (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI)))) into (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI)))) 46.680 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 46.682 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) into (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) 46.683 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2)) into (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))) 46.685 * [backup-simplify]: Simplify (* +nan.0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))))) into (* +nan.0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))))) 46.686 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))))) into (- (* +nan.0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))))) 46.687 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))))) into (- (* +nan.0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))))) 46.687 * [backup-simplify]: Simplify 0 into 0 46.690 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 46.699 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 0) (+ (* 0 0) (* 0 (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) into 0 46.701 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) 0) (+ (* 0 0) (* 0 (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2)))) into 0 46.702 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2)))) 46.702 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2)))) in n 46.702 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2))) in n 46.703 * [taylor]: Taking taylor expansion of +nan.0 in n 46.703 * [backup-simplify]: Simplify +nan.0 into +nan.0 46.703 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2)) in n 46.703 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) in n 46.703 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n)))) in n 46.703 * [taylor]: Taking taylor expansion of 1/2 in n 46.703 * [backup-simplify]: Simplify 1/2 into 1/2 46.703 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (/ 1 n))) in n 46.703 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 46.703 * [taylor]: Taking taylor expansion of 1 in n 46.703 * [backup-simplify]: Simplify 1 into 1 46.703 * [taylor]: Taking taylor expansion of (/ 1 k) in n 46.703 * [taylor]: Taking taylor expansion of k in n 46.703 * [backup-simplify]: Simplify k into k 46.703 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 46.703 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 46.703 * [taylor]: Taking taylor expansion of (/ 1 n) in n 46.703 * [taylor]: Taking taylor expansion of n in n 46.703 * [backup-simplify]: Simplify 0 into 0 46.703 * [backup-simplify]: Simplify 1 into 1 46.703 * [backup-simplify]: Simplify (/ 1 1) into 1 46.703 * [backup-simplify]: Simplify (log 1) into 0 46.703 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 46.703 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 46.704 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 46.704 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log n))) into (* -1 (* (- 1 (/ 1 k)) (log n))) 46.704 * [backup-simplify]: Simplify (* 1/2 (* -1 (* (- 1 (/ 1 k)) (log n)))) into (* -1/2 (* (- 1 (/ 1 k)) (log n))) 46.704 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 46.704 * [taylor]: Taking taylor expansion of (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) in n 46.704 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) in n 46.704 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI)))) in n 46.704 * [taylor]: Taking taylor expansion of 1/4 in n 46.704 * [backup-simplify]: Simplify 1/4 into 1/4 46.704 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 PI))) in n 46.704 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 46.704 * [taylor]: Taking taylor expansion of 1 in n 46.704 * [backup-simplify]: Simplify 1 into 1 46.704 * [taylor]: Taking taylor expansion of (/ 1 k) in n 46.704 * [taylor]: Taking taylor expansion of k in n 46.704 * [backup-simplify]: Simplify k into k 46.704 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 46.704 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 46.704 * [taylor]: Taking taylor expansion of (* 2 PI) in n 46.704 * [taylor]: Taking taylor expansion of 2 in n 46.704 * [backup-simplify]: Simplify 2 into 2 46.704 * [taylor]: Taking taylor expansion of PI in n 46.704 * [backup-simplify]: Simplify PI into PI 46.705 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 46.705 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 46.705 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 46.705 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 46.706 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (log (* 2 PI))) into (* (- 1 (/ 1 k)) (log (* 2 PI))) 46.707 * [backup-simplify]: Simplify (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI)))) into (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI)))) 46.708 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 46.709 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) into (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) 46.710 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2)) into (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))) 46.711 * [backup-simplify]: Simplify (* +nan.0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))))) into (* +nan.0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))))) 46.711 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))))) into (- (* +nan.0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))))) 46.712 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))))) into (- (* +nan.0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))))) 46.713 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 46.714 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 46.714 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 46.714 * [backup-simplify]: Simplify (- 0) into 0 46.714 * [backup-simplify]: Simplify (+ 0 0) into 0 46.715 * [backup-simplify]: Simplify (+ (* (- 1 (/ 1 k)) 0) (* 0 (log (* 2 PI)))) into 0 46.716 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (* (- 1 (/ 1 k)) (log (* 2 PI))))) into 0 46.717 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 46.718 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 0) (* 0 (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) into 0 46.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 46.719 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 46.720 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 46.720 * [backup-simplify]: Simplify (- 0) into 0 46.720 * [backup-simplify]: Simplify (+ 0 0) into 0 46.720 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 46.720 * [backup-simplify]: Simplify (+ (* (- 1 (/ 1 k)) 0) (* 0 (- (log n)))) into 0 46.721 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* -1 (* (- 1 (/ 1 k)) (log n))))) into 0 46.721 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 46.722 * [backup-simplify]: Simplify (+ (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 0) (* 0 (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2))) into 0 46.723 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))))) into 0 46.723 * [backup-simplify]: Simplify (- 0) into 0 46.723 * [backup-simplify]: Simplify 0 into 0 46.723 * [backup-simplify]: Simplify 0 into 0 46.726 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 46.728 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))))))) into 0 46.729 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2))))) into 0 46.730 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2)) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2)))) 46.730 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2)))) in n 46.730 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2))) in n 46.730 * [taylor]: Taking taylor expansion of +nan.0 in n 46.730 * [backup-simplify]: Simplify +nan.0 into +nan.0 46.730 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2)) in n 46.730 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) in n 46.730 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n)))) in n 46.731 * [taylor]: Taking taylor expansion of 1/2 in n 46.731 * [backup-simplify]: Simplify 1/2 into 1/2 46.731 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (/ 1 n))) in n 46.731 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 46.731 * [taylor]: Taking taylor expansion of 1 in n 46.731 * [backup-simplify]: Simplify 1 into 1 46.731 * [taylor]: Taking taylor expansion of (/ 1 k) in n 46.731 * [taylor]: Taking taylor expansion of k in n 46.731 * [backup-simplify]: Simplify k into k 46.731 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 46.731 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 46.731 * [taylor]: Taking taylor expansion of (/ 1 n) in n 46.731 * [taylor]: Taking taylor expansion of n in n 46.731 * [backup-simplify]: Simplify 0 into 0 46.731 * [backup-simplify]: Simplify 1 into 1 46.731 * [backup-simplify]: Simplify (/ 1 1) into 1 46.731 * [backup-simplify]: Simplify (log 1) into 0 46.731 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 46.731 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 46.732 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 46.732 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log n))) into (* -1 (* (- 1 (/ 1 k)) (log n))) 46.732 * [backup-simplify]: Simplify (* 1/2 (* -1 (* (- 1 (/ 1 k)) (log n)))) into (* -1/2 (* (- 1 (/ 1 k)) (log n))) 46.732 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 46.732 * [taylor]: Taking taylor expansion of (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) in n 46.732 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) in n 46.732 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI)))) in n 46.732 * [taylor]: Taking taylor expansion of 1/4 in n 46.732 * [backup-simplify]: Simplify 1/4 into 1/4 46.732 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 PI))) in n 46.732 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 46.732 * [taylor]: Taking taylor expansion of 1 in n 46.732 * [backup-simplify]: Simplify 1 into 1 46.732 * [taylor]: Taking taylor expansion of (/ 1 k) in n 46.732 * [taylor]: Taking taylor expansion of k in n 46.732 * [backup-simplify]: Simplify k into k 46.732 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 46.732 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 46.732 * [taylor]: Taking taylor expansion of (* 2 PI) in n 46.732 * [taylor]: Taking taylor expansion of 2 in n 46.732 * [backup-simplify]: Simplify 2 into 2 46.732 * [taylor]: Taking taylor expansion of PI in n 46.732 * [backup-simplify]: Simplify PI into PI 46.733 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 46.733 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 46.733 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 46.733 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 46.734 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (log (* 2 PI))) into (* (- 1 (/ 1 k)) (log (* 2 PI))) 46.734 * [backup-simplify]: Simplify (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI)))) into (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI)))) 46.735 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 46.736 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) into (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) 46.738 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2)) into (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))) 46.739 * [backup-simplify]: Simplify (* +nan.0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))))) into (* +nan.0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))))) 46.741 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))))) into (- (* +nan.0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))))) 46.742 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))))) into (- (* +nan.0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))))) 46.747 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 (/ 1 k))) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 (/ 1 k))) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 (/ 1 k))) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 (/ 1 k))) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 (/ 1 k))) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 (/ 1 k))) (log (/ 1 n)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) 2)) k)) (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) 2)) (pow k 2))) (- (* +nan.0 (/ (* (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) 2)) (pow k 3)))))))) 46.749 * [backup-simplify]: Simplify (* (* (* (/ 1 (sqrt (/ 1 (- k)))) (pow (* 2 PI) (/ (/ (- 1 (/ 1 (- k))) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 (/ 1 (- k))) 2) 2))) (pow (/ 1 (- n)) (/ (- 1 (/ 1 (- k))) 2))) into (/ (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (pow (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) 2)) (sqrt (/ -1 k))) 46.749 * [approximate]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (pow (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) 2)) (sqrt (/ -1 k))) in (k n) around 0 46.749 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (pow (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) 2)) (sqrt (/ -1 k))) in n 46.749 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (pow (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) 2)) in n 46.749 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in n 46.749 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in n 46.749 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in n 46.749 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 46.749 * [taylor]: Taking taylor expansion of 1/2 in n 46.749 * [backup-simplify]: Simplify 1/2 into 1/2 46.749 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 46.749 * [taylor]: Taking taylor expansion of (/ 1 k) in n 46.749 * [taylor]: Taking taylor expansion of k in n 46.749 * [backup-simplify]: Simplify k into k 46.749 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 46.750 * [taylor]: Taking taylor expansion of 1 in n 46.750 * [backup-simplify]: Simplify 1 into 1 46.750 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 46.750 * [taylor]: Taking taylor expansion of (/ -1 n) in n 46.750 * [taylor]: Taking taylor expansion of -1 in n 46.750 * [backup-simplify]: Simplify -1 into -1 46.750 * [taylor]: Taking taylor expansion of n in n 46.750 * [backup-simplify]: Simplify 0 into 0 46.750 * [backup-simplify]: Simplify 1 into 1 46.750 * [backup-simplify]: Simplify (/ -1 1) into -1 46.751 * [backup-simplify]: Simplify (log -1) into (log -1) 46.751 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 46.751 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 46.752 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 46.752 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log -1) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) 46.753 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 46.753 * [taylor]: Taking taylor expansion of (pow (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) 2) in n 46.753 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) in n 46.753 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* 2 PI)))) in n 46.753 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* 2 PI))) in n 46.753 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n 46.753 * [taylor]: Taking taylor expansion of 1/4 in n 46.753 * [backup-simplify]: Simplify 1/4 into 1/4 46.753 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 46.753 * [taylor]: Taking taylor expansion of (/ 1 k) in n 46.753 * [taylor]: Taking taylor expansion of k in n 46.753 * [backup-simplify]: Simplify k into k 46.753 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 46.753 * [taylor]: Taking taylor expansion of 1 in n 46.753 * [backup-simplify]: Simplify 1 into 1 46.753 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 46.753 * [taylor]: Taking taylor expansion of (* 2 PI) in n 46.753 * [taylor]: Taking taylor expansion of 2 in n 46.753 * [backup-simplify]: Simplify 2 into 2 46.754 * [taylor]: Taking taylor expansion of PI in n 46.754 * [backup-simplify]: Simplify PI into PI 46.754 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 46.755 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 46.755 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 46.755 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1)) 46.756 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (log (* 2 PI))) into (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))) 46.757 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 46.757 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 46.757 * [taylor]: Taking taylor expansion of (/ -1 k) in n 46.757 * [taylor]: Taking taylor expansion of -1 in n 46.757 * [backup-simplify]: Simplify -1 into -1 46.757 * [taylor]: Taking taylor expansion of k in n 46.757 * [backup-simplify]: Simplify k into k 46.757 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 46.757 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 46.758 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 46.758 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 46.760 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) into (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) 46.761 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2)) into (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) 46.762 * [backup-simplify]: Simplify (/ (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) (sqrt (/ -1 k))) into (/ (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) (sqrt (/ -1 k))) 46.762 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (pow (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) 2)) (sqrt (/ -1 k))) in k 46.762 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (pow (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) 2)) in k 46.762 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in k 46.762 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in k 46.762 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in k 46.763 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 46.763 * [taylor]: Taking taylor expansion of 1/2 in k 46.763 * [backup-simplify]: Simplify 1/2 into 1/2 46.763 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 46.763 * [taylor]: Taking taylor expansion of (/ 1 k) in k 46.763 * [taylor]: Taking taylor expansion of k in k 46.763 * [backup-simplify]: Simplify 0 into 0 46.763 * [backup-simplify]: Simplify 1 into 1 46.763 * [backup-simplify]: Simplify (/ 1 1) into 1 46.763 * [taylor]: Taking taylor expansion of 1 in k 46.763 * [backup-simplify]: Simplify 1 into 1 46.763 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 46.763 * [taylor]: Taking taylor expansion of (/ -1 n) in k 46.763 * [taylor]: Taking taylor expansion of -1 in k 46.763 * [backup-simplify]: Simplify -1 into -1 46.763 * [taylor]: Taking taylor expansion of n in k 46.763 * [backup-simplify]: Simplify n into n 46.763 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 46.763 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 46.763 * [backup-simplify]: Simplify (+ 1 0) into 1 46.764 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 46.764 * [backup-simplify]: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 46.764 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) 46.764 * [taylor]: Taking taylor expansion of (pow (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) 2) in k 46.764 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) in k 46.764 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* 2 PI)))) in k 46.764 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* 2 PI))) in k 46.764 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in k 46.764 * [taylor]: Taking taylor expansion of 1/4 in k 46.764 * [backup-simplify]: Simplify 1/4 into 1/4 46.764 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 46.764 * [taylor]: Taking taylor expansion of (/ 1 k) in k 46.764 * [taylor]: Taking taylor expansion of k in k 46.764 * [backup-simplify]: Simplify 0 into 0 46.764 * [backup-simplify]: Simplify 1 into 1 46.764 * [backup-simplify]: Simplify (/ 1 1) into 1 46.764 * [taylor]: Taking taylor expansion of 1 in k 46.764 * [backup-simplify]: Simplify 1 into 1 46.764 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 46.764 * [taylor]: Taking taylor expansion of (* 2 PI) in k 46.764 * [taylor]: Taking taylor expansion of 2 in k 46.764 * [backup-simplify]: Simplify 2 into 2 46.764 * [taylor]: Taking taylor expansion of PI in k 46.764 * [backup-simplify]: Simplify PI into PI 46.765 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 46.765 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 46.766 * [backup-simplify]: Simplify (+ 1 0) into 1 46.766 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 46.767 * [backup-simplify]: Simplify (* 1/4 (log (* 2 PI))) into (* 1/4 (log (* 2 PI))) 46.767 * [backup-simplify]: Simplify (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* 2 PI)))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 46.768 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 46.768 * [taylor]: Taking taylor expansion of (/ -1 k) in k 46.768 * [taylor]: Taking taylor expansion of -1 in k 46.768 * [backup-simplify]: Simplify -1 into -1 46.768 * [taylor]: Taking taylor expansion of k in k 46.768 * [backup-simplify]: Simplify 0 into 0 46.768 * [backup-simplify]: Simplify 1 into 1 46.768 * [backup-simplify]: Simplify (/ -1 1) into -1 46.768 * [backup-simplify]: Simplify (sqrt 0) into 0 46.769 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 46.770 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) into (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) 46.771 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2)) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2)) 46.772 * [backup-simplify]: Simplify (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2)) +nan.0) into (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2))) 46.772 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (pow (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) 2)) (sqrt (/ -1 k))) in k 46.772 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (pow (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) 2)) in k 46.772 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in k 46.772 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in k 46.772 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in k 46.772 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 46.772 * [taylor]: Taking taylor expansion of 1/2 in k 46.772 * [backup-simplify]: Simplify 1/2 into 1/2 46.772 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 46.772 * [taylor]: Taking taylor expansion of (/ 1 k) in k 46.772 * [taylor]: Taking taylor expansion of k in k 46.772 * [backup-simplify]: Simplify 0 into 0 46.772 * [backup-simplify]: Simplify 1 into 1 46.773 * [backup-simplify]: Simplify (/ 1 1) into 1 46.773 * [taylor]: Taking taylor expansion of 1 in k 46.773 * [backup-simplify]: Simplify 1 into 1 46.773 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 46.773 * [taylor]: Taking taylor expansion of (/ -1 n) in k 46.773 * [taylor]: Taking taylor expansion of -1 in k 46.773 * [backup-simplify]: Simplify -1 into -1 46.773 * [taylor]: Taking taylor expansion of n in k 46.773 * [backup-simplify]: Simplify n into n 46.773 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 46.773 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 46.773 * [backup-simplify]: Simplify (+ 1 0) into 1 46.774 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 46.774 * [backup-simplify]: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 46.774 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) 46.774 * [taylor]: Taking taylor expansion of (pow (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) 2) in k 46.774 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) in k 46.774 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* 2 PI)))) in k 46.774 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* 2 PI))) in k 46.774 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in k 46.774 * [taylor]: Taking taylor expansion of 1/4 in k 46.774 * [backup-simplify]: Simplify 1/4 into 1/4 46.774 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 46.774 * [taylor]: Taking taylor expansion of (/ 1 k) in k 46.774 * [taylor]: Taking taylor expansion of k in k 46.774 * [backup-simplify]: Simplify 0 into 0 46.774 * [backup-simplify]: Simplify 1 into 1 46.774 * [backup-simplify]: Simplify (/ 1 1) into 1 46.774 * [taylor]: Taking taylor expansion of 1 in k 46.774 * [backup-simplify]: Simplify 1 into 1 46.774 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 46.774 * [taylor]: Taking taylor expansion of (* 2 PI) in k 46.774 * [taylor]: Taking taylor expansion of 2 in k 46.774 * [backup-simplify]: Simplify 2 into 2 46.774 * [taylor]: Taking taylor expansion of PI in k 46.774 * [backup-simplify]: Simplify PI into PI 46.775 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 46.775 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 46.775 * [backup-simplify]: Simplify (+ 1 0) into 1 46.776 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 46.777 * [backup-simplify]: Simplify (* 1/4 (log (* 2 PI))) into (* 1/4 (log (* 2 PI))) 46.777 * [backup-simplify]: Simplify (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* 2 PI)))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 46.777 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 46.777 * [taylor]: Taking taylor expansion of (/ -1 k) in k 46.777 * [taylor]: Taking taylor expansion of -1 in k 46.777 * [backup-simplify]: Simplify -1 into -1 46.778 * [taylor]: Taking taylor expansion of k in k 46.778 * [backup-simplify]: Simplify 0 into 0 46.778 * [backup-simplify]: Simplify 1 into 1 46.778 * [backup-simplify]: Simplify (/ -1 1) into -1 46.778 * [backup-simplify]: Simplify (sqrt 0) into 0 46.779 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 46.780 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) into (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) 46.781 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2)) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2)) 46.782 * [backup-simplify]: Simplify (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2)) +nan.0) into (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2))) 46.782 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2))) in n 46.782 * [taylor]: Taking taylor expansion of +nan.0 in n 46.782 * [backup-simplify]: Simplify +nan.0 into +nan.0 46.782 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2)) in n 46.782 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) in n 46.782 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n)))) in n 46.782 * [taylor]: Taking taylor expansion of 1/2 in n 46.782 * [backup-simplify]: Simplify 1/2 into 1/2 46.782 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (log (/ -1 n))) in n 46.782 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 46.782 * [taylor]: Taking taylor expansion of (/ 1 k) in n 46.782 * [taylor]: Taking taylor expansion of k in n 46.782 * [backup-simplify]: Simplify k into k 46.782 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 46.782 * [taylor]: Taking taylor expansion of 1 in n 46.782 * [backup-simplify]: Simplify 1 into 1 46.782 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 46.782 * [taylor]: Taking taylor expansion of (/ -1 n) in n 46.782 * [taylor]: Taking taylor expansion of -1 in n 46.782 * [backup-simplify]: Simplify -1 into -1 46.782 * [taylor]: Taking taylor expansion of n in n 46.782 * [backup-simplify]: Simplify 0 into 0 46.782 * [backup-simplify]: Simplify 1 into 1 46.782 * [backup-simplify]: Simplify (/ -1 1) into -1 46.783 * [backup-simplify]: Simplify (log -1) into (log -1) 46.783 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 46.783 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 46.784 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1) (- (log -1) (log n))) into (* (+ (/ 1 k) 1) (- (log -1) (log n))) 46.784 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) 46.784 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 46.784 * [taylor]: Taking taylor expansion of (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) in n 46.784 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) in n 46.784 * [taylor]: Taking taylor expansion of (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))) in n 46.784 * [taylor]: Taking taylor expansion of 1/4 in n 46.784 * [backup-simplify]: Simplify 1/4 into 1/4 46.784 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (log (* 2 PI))) in n 46.784 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 46.784 * [taylor]: Taking taylor expansion of (/ 1 k) in n 46.784 * [taylor]: Taking taylor expansion of k in n 46.784 * [backup-simplify]: Simplify k into k 46.785 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 46.785 * [taylor]: Taking taylor expansion of 1 in n 46.785 * [backup-simplify]: Simplify 1 into 1 46.785 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 46.785 * [taylor]: Taking taylor expansion of (* 2 PI) in n 46.785 * [taylor]: Taking taylor expansion of 2 in n 46.785 * [backup-simplify]: Simplify 2 into 2 46.785 * [taylor]: Taking taylor expansion of PI in n 46.785 * [backup-simplify]: Simplify PI into PI 46.785 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 46.786 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 46.786 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 46.786 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1) (log (* 2 PI))) into (* (+ (/ 1 k) 1) (log (* 2 PI))) 46.787 * [backup-simplify]: Simplify (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))) into (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))) 46.788 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 46.789 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) into (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) 46.790 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2)) into (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) 46.791 * [backup-simplify]: Simplify (* +nan.0 (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) into (* +nan.0 (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) 46.792 * [backup-simplify]: Simplify (* +nan.0 (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) into (* +nan.0 (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) 46.794 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 0) (* 0 (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))))) into 0 46.796 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) 0) (* 0 (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2))) into 0 46.797 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 46.806 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 46.808 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2)))) 46.809 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2)))) in n 46.809 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2))) in n 46.809 * [taylor]: Taking taylor expansion of +nan.0 in n 46.809 * [backup-simplify]: Simplify +nan.0 into +nan.0 46.809 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2)) in n 46.809 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) in n 46.809 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n)))) in n 46.809 * [taylor]: Taking taylor expansion of 1/2 in n 46.809 * [backup-simplify]: Simplify 1/2 into 1/2 46.809 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (log (/ -1 n))) in n 46.809 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 46.809 * [taylor]: Taking taylor expansion of (/ 1 k) in n 46.809 * [taylor]: Taking taylor expansion of k in n 46.809 * [backup-simplify]: Simplify k into k 46.809 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 46.809 * [taylor]: Taking taylor expansion of 1 in n 46.809 * [backup-simplify]: Simplify 1 into 1 46.809 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 46.809 * [taylor]: Taking taylor expansion of (/ -1 n) in n 46.809 * [taylor]: Taking taylor expansion of -1 in n 46.809 * [backup-simplify]: Simplify -1 into -1 46.809 * [taylor]: Taking taylor expansion of n in n 46.809 * [backup-simplify]: Simplify 0 into 0 46.809 * [backup-simplify]: Simplify 1 into 1 46.810 * [backup-simplify]: Simplify (/ -1 1) into -1 46.810 * [backup-simplify]: Simplify (log -1) into (log -1) 46.810 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 46.811 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 46.812 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1) (- (log -1) (log n))) into (* (+ (/ 1 k) 1) (- (log -1) (log n))) 46.812 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) 46.813 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 46.813 * [taylor]: Taking taylor expansion of (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) in n 46.813 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) in n 46.813 * [taylor]: Taking taylor expansion of (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))) in n 46.813 * [taylor]: Taking taylor expansion of 1/4 in n 46.813 * [backup-simplify]: Simplify 1/4 into 1/4 46.813 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (log (* 2 PI))) in n 46.813 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 46.813 * [taylor]: Taking taylor expansion of (/ 1 k) in n 46.813 * [taylor]: Taking taylor expansion of k in n 46.813 * [backup-simplify]: Simplify k into k 46.813 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 46.813 * [taylor]: Taking taylor expansion of 1 in n 46.813 * [backup-simplify]: Simplify 1 into 1 46.813 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 46.813 * [taylor]: Taking taylor expansion of (* 2 PI) in n 46.813 * [taylor]: Taking taylor expansion of 2 in n 46.813 * [backup-simplify]: Simplify 2 into 2 46.813 * [taylor]: Taking taylor expansion of PI in n 46.813 * [backup-simplify]: Simplify PI into PI 46.814 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 46.815 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 46.815 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 46.816 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1) (log (* 2 PI))) into (* (+ (/ 1 k) 1) (log (* 2 PI))) 46.817 * [backup-simplify]: Simplify (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))) into (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))) 46.818 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 46.821 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) into (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) 46.822 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2)) into (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) 46.824 * [backup-simplify]: Simplify (* +nan.0 (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) into (* +nan.0 (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) 46.826 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) into (- (* +nan.0 (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) 46.827 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) into (- (* +nan.0 (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) 46.828 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 46.830 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 46.830 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 46.831 * [backup-simplify]: Simplify (+ 0 0) into 0 46.831 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1) 0) (* 0 (log (* 2 PI)))) into 0 46.833 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (* (+ (/ 1 k) 1) (log (* 2 PI))))) into 0 46.835 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 46.837 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 0) (* 0 (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))))) into 0 46.838 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 46.839 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 46.840 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 46.840 * [backup-simplify]: Simplify (+ 0 0) into 0 46.841 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 46.841 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1) 0) (* 0 (- (log -1) (log n)))) into 0 46.842 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into 0 46.844 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 46.845 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 0) (* 0 (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2))) into 0 46.848 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) into 0 46.848 * [backup-simplify]: Simplify 0 into 0 46.850 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 0) (+ (* 0 0) (* 0 (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))))))) into 0 46.851 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) 0) (+ (* 0 0) (* 0 (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2)))) into 0 46.851 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 46.854 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 46.856 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2)))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2)))) 46.856 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2)))) in n 46.856 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2))) in n 46.856 * [taylor]: Taking taylor expansion of +nan.0 in n 46.856 * [backup-simplify]: Simplify +nan.0 into +nan.0 46.856 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2)) in n 46.856 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) in n 46.856 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n)))) in n 46.856 * [taylor]: Taking taylor expansion of 1/2 in n 46.856 * [backup-simplify]: Simplify 1/2 into 1/2 46.856 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (log (/ -1 n))) in n 46.856 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 46.857 * [taylor]: Taking taylor expansion of (/ 1 k) in n 46.857 * [taylor]: Taking taylor expansion of k in n 46.857 * [backup-simplify]: Simplify k into k 46.857 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 46.857 * [taylor]: Taking taylor expansion of 1 in n 46.857 * [backup-simplify]: Simplify 1 into 1 46.857 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 46.857 * [taylor]: Taking taylor expansion of (/ -1 n) in n 46.857 * [taylor]: Taking taylor expansion of -1 in n 46.857 * [backup-simplify]: Simplify -1 into -1 46.857 * [taylor]: Taking taylor expansion of n in n 46.857 * [backup-simplify]: Simplify 0 into 0 46.857 * [backup-simplify]: Simplify 1 into 1 46.857 * [backup-simplify]: Simplify (/ -1 1) into -1 46.857 * [backup-simplify]: Simplify (log -1) into (log -1) 46.857 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 46.858 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 46.858 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1) (- (log -1) (log n))) into (* (+ (/ 1 k) 1) (- (log -1) (log n))) 46.858 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) 46.859 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 46.859 * [taylor]: Taking taylor expansion of (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) in n 46.859 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) in n 46.859 * [taylor]: Taking taylor expansion of (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))) in n 46.859 * [taylor]: Taking taylor expansion of 1/4 in n 46.859 * [backup-simplify]: Simplify 1/4 into 1/4 46.859 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (log (* 2 PI))) in n 46.859 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 46.859 * [taylor]: Taking taylor expansion of (/ 1 k) in n 46.859 * [taylor]: Taking taylor expansion of k in n 46.859 * [backup-simplify]: Simplify k into k 46.859 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 46.859 * [taylor]: Taking taylor expansion of 1 in n 46.859 * [backup-simplify]: Simplify 1 into 1 46.859 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 46.859 * [taylor]: Taking taylor expansion of (* 2 PI) in n 46.859 * [taylor]: Taking taylor expansion of 2 in n 46.859 * [backup-simplify]: Simplify 2 into 2 46.859 * [taylor]: Taking taylor expansion of PI in n 46.859 * [backup-simplify]: Simplify PI into PI 46.859 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 46.860 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 46.860 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 46.861 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1) (log (* 2 PI))) into (* (+ (/ 1 k) 1) (log (* 2 PI))) 46.861 * [backup-simplify]: Simplify (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))) into (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))) 46.862 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 46.863 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) into (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) 46.864 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2)) into (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) 46.865 * [backup-simplify]: Simplify (* +nan.0 (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) into (* +nan.0 (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) 46.866 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) into (- (* +nan.0 (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) 46.867 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) into (- (* +nan.0 (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) 46.871 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (pow (exp (* 1/4 (* (+ (/ 1 (/ 1 (- k))) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log -1) (log (/ 1 (- n)))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (* (pow (exp (* 1/4 (* (+ (/ 1 (/ 1 (- k))) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log -1) (log (/ 1 (- n)))))))))) (* 1 (/ 1 (- k)))) (* +nan.0 (* (pow (exp (* 1/4 (* (+ (/ 1 (/ 1 (- k))) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log -1) (log (/ 1 (- n))))))))))) into (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) (pow (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) (pow (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) 2)) k)) (- (* +nan.0 (* (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) (pow (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) 2)))))))) 46.871 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 46.872 * [backup-simplify]: Simplify (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) into (* (pow (* 2 PI) (* 1/4 (- 1 k))) (sqrt (/ 1 k))) 46.872 * [approximate]: Taking taylor expansion of (* (pow (* 2 PI) (* 1/4 (- 1 k))) (sqrt (/ 1 k))) in (k) around 0 46.872 * [taylor]: Taking taylor expansion of (* (pow (* 2 PI) (* 1/4 (- 1 k))) (sqrt (/ 1 k))) in k 46.872 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/4 (- 1 k))) in k 46.872 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 PI)))) in k 46.872 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 PI))) in k 46.872 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in k 46.872 * [taylor]: Taking taylor expansion of 1/4 in k 46.872 * [backup-simplify]: Simplify 1/4 into 1/4 46.872 * [taylor]: Taking taylor expansion of (- 1 k) in k 46.872 * [taylor]: Taking taylor expansion of 1 in k 46.872 * [backup-simplify]: Simplify 1 into 1 46.872 * [taylor]: Taking taylor expansion of k in k 46.872 * [backup-simplify]: Simplify 0 into 0 46.872 * [backup-simplify]: Simplify 1 into 1 46.872 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 46.872 * [taylor]: Taking taylor expansion of (* 2 PI) in k 46.872 * [taylor]: Taking taylor expansion of 2 in k 46.872 * [backup-simplify]: Simplify 2 into 2 46.872 * [taylor]: Taking taylor expansion of PI in k 46.872 * [backup-simplify]: Simplify PI into PI 46.872 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 46.873 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 46.873 * [backup-simplify]: Simplify (- 0) into 0 46.873 * [backup-simplify]: Simplify (+ 1 0) into 1 46.874 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 46.875 * [backup-simplify]: Simplify (* 1/4 (log (* 2 PI))) into (* 1/4 (log (* 2 PI))) 46.876 * [backup-simplify]: Simplify (exp (* 1/4 (log (* 2 PI)))) into (pow (* 2 PI) 1/4) 46.876 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 46.876 * [taylor]: Taking taylor expansion of (/ 1 k) in k 46.876 * [taylor]: Taking taylor expansion of k in k 46.876 * [backup-simplify]: Simplify 0 into 0 46.876 * [backup-simplify]: Simplify 1 into 1 46.876 * [backup-simplify]: Simplify (/ 1 1) into 1 46.877 * [backup-simplify]: Simplify (sqrt 0) into 0 46.878 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 46.878 * [taylor]: Taking taylor expansion of (* (pow (* 2 PI) (* 1/4 (- 1 k))) (sqrt (/ 1 k))) in k 46.878 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/4 (- 1 k))) in k 46.878 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 PI)))) in k 46.878 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 PI))) in k 46.878 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in k 46.878 * [taylor]: Taking taylor expansion of 1/4 in k 46.878 * [backup-simplify]: Simplify 1/4 into 1/4 46.878 * [taylor]: Taking taylor expansion of (- 1 k) in k 46.878 * [taylor]: Taking taylor expansion of 1 in k 46.878 * [backup-simplify]: Simplify 1 into 1 46.878 * [taylor]: Taking taylor expansion of k in k 46.878 * [backup-simplify]: Simplify 0 into 0 46.878 * [backup-simplify]: Simplify 1 into 1 46.878 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 46.878 * [taylor]: Taking taylor expansion of (* 2 PI) in k 46.878 * [taylor]: Taking taylor expansion of 2 in k 46.878 * [backup-simplify]: Simplify 2 into 2 46.878 * [taylor]: Taking taylor expansion of PI in k 46.878 * [backup-simplify]: Simplify PI into PI 46.878 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 46.879 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 46.879 * [backup-simplify]: Simplify (- 0) into 0 46.879 * [backup-simplify]: Simplify (+ 1 0) into 1 46.880 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 46.881 * [backup-simplify]: Simplify (* 1/4 (log (* 2 PI))) into (* 1/4 (log (* 2 PI))) 46.882 * [backup-simplify]: Simplify (exp (* 1/4 (log (* 2 PI)))) into (pow (* 2 PI) 1/4) 46.882 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 46.882 * [taylor]: Taking taylor expansion of (/ 1 k) in k 46.882 * [taylor]: Taking taylor expansion of k in k 46.882 * [backup-simplify]: Simplify 0 into 0 46.882 * [backup-simplify]: Simplify 1 into 1 46.882 * [backup-simplify]: Simplify (/ 1 1) into 1 46.883 * [backup-simplify]: Simplify (sqrt 0) into 0 46.884 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 46.884 * [backup-simplify]: Simplify (* (pow (* 2 PI) 1/4) 0) into 0 46.884 * [backup-simplify]: Simplify 0 into 0 46.885 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 46.886 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 46.887 * [backup-simplify]: Simplify (- 1) into -1 46.887 * [backup-simplify]: Simplify (+ 0 -1) into -1 46.887 * [backup-simplify]: Simplify (+ (* 1/4 -1) (* 0 1)) into -1/4 46.889 * [backup-simplify]: Simplify (+ (* 1/4 0) (* -1/4 (log (* 2 PI)))) into (- (* 1/4 (log (* 2 PI)))) 46.896 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/4 (log (* 2 PI)))) 1) 1)))) into (* -1/4 (* (pow (* PI 2) 1/4) (log (* 2 PI)))) 46.899 * [backup-simplify]: Simplify (+ (* (pow (* 2 PI) 1/4) +nan.0) (* (* -1/4 (* (pow (* PI 2) 1/4) (log (* 2 PI)))) 0)) into (- (* +nan.0 (pow (* PI 2) 1/4))) 46.901 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* PI 2) 1/4))) into (- (* +nan.0 (pow (* PI 2) 1/4))) 46.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 46.903 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 46.904 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 46.911 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 46.911 * [backup-simplify]: Simplify (- 0) into 0 46.912 * [backup-simplify]: Simplify (+ 0 0) into 0 46.913 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 -1) (* 0 1))) into 0 46.914 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* -1/4 0) (* 0 (log (* 2 PI))))) into 0 46.923 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/4 (log (* 2 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (* (pow (* PI 2) 1/4) (pow (log (* 2 PI)) 2))) 46.932 * [backup-simplify]: Simplify (+ (* (pow (* 2 PI) 1/4) +nan.0) (+ (* (* -1/4 (* (pow (* PI 2) 1/4) (log (* 2 PI)))) +nan.0) (* (* 1/32 (* (pow (* PI 2) 1/4) (pow (log (* 2 PI)) 2))) 0))) into (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) (log (* 2 PI)))) (- (* +nan.0 (pow (* PI 2) 1/4))))) 46.938 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) (log (* 2 PI)))) (- (* +nan.0 (pow (* PI 2) 1/4))))) into (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) (log (* 2 PI)))) (- (* +nan.0 (pow (* PI 2) 1/4))))) 46.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 46.941 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 46.942 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 46.945 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 46.945 * [backup-simplify]: Simplify (- 0) into 0 46.946 * [backup-simplify]: Simplify (+ 0 0) into 0 46.946 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))) into 0 46.947 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* -1/4 0) (+ (* 0 0) (* 0 (log (* 2 PI)))))) into 0 46.962 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/4 (log (* 2 PI)))) 3) 6)) (* (/ (pow (- (* 1/4 (log (* 2 PI)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/384 (* (pow (* PI 2) 1/4) (pow (log (* 2 PI)) 3))) 46.984 * [backup-simplify]: Simplify (+ (* (pow (* 2 PI) 1/4) +nan.0) (+ (* (* -1/4 (* (pow (* PI 2) 1/4) (log (* 2 PI)))) +nan.0) (+ (* (* 1/32 (* (pow (* PI 2) 1/4) (pow (log (* 2 PI)) 2))) +nan.0) (* (* -1/384 (* (pow (* PI 2) 1/4) (pow (log (* 2 PI)) 3))) 0)))) into (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) (log (* 2 PI)))) (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) (pow (log (* 2 PI)) 2))) (- (* +nan.0 (pow (* PI 2) 1/4))))))) 46.997 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) (log (* 2 PI)))) (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) (pow (log (* 2 PI)) 2))) (- (* +nan.0 (pow (* PI 2) 1/4))))))) into (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) (log (* 2 PI)))) (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) (pow (log (* 2 PI)) 2))) (- (* +nan.0 (pow (* PI 2) 1/4))))))) 47.024 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) (log (* 2 PI)))) (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) (pow (log (* 2 PI)) 2))) (- (* +nan.0 (pow (* PI 2) 1/4))))))) (pow k 2)) (+ (* (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) (log (* 2 PI)))) (- (* +nan.0 (pow (* PI 2) 1/4))))) k) (- (* +nan.0 (pow (* PI 2) 1/4))))) into (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) (* k (log (* 2 PI))))) (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) k)) (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) (pow k 2))) (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) (* (pow (log (* 2 PI)) 2) (pow k 2)))) (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) (* (log (* 2 PI)) (pow k 2)))) (- (* +nan.0 (pow (* PI 2) 1/4))))))))))))) 47.025 * [backup-simplify]: Simplify (* (/ 1 (sqrt (/ 1 k))) (pow (* 2 PI) (/ (/ (- 1 (/ 1 k)) 2) 2))) into (* (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) (sqrt k)) 47.025 * [approximate]: Taking taylor expansion of (* (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) (sqrt k)) in (k) around 0 47.025 * [taylor]: Taking taylor expansion of (* (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) (sqrt k)) in k 47.025 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) in k 47.025 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 PI)))) in k 47.025 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 PI))) in k 47.025 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in k 47.025 * [taylor]: Taking taylor expansion of 1/4 in k 47.025 * [backup-simplify]: Simplify 1/4 into 1/4 47.025 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 47.025 * [taylor]: Taking taylor expansion of 1 in k 47.025 * [backup-simplify]: Simplify 1 into 1 47.025 * [taylor]: Taking taylor expansion of (/ 1 k) in k 47.025 * [taylor]: Taking taylor expansion of k in k 47.025 * [backup-simplify]: Simplify 0 into 0 47.025 * [backup-simplify]: Simplify 1 into 1 47.025 * [backup-simplify]: Simplify (/ 1 1) into 1 47.025 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 47.025 * [taylor]: Taking taylor expansion of (* 2 PI) in k 47.025 * [taylor]: Taking taylor expansion of 2 in k 47.025 * [backup-simplify]: Simplify 2 into 2 47.025 * [taylor]: Taking taylor expansion of PI in k 47.025 * [backup-simplify]: Simplify PI into PI 47.026 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 47.026 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 47.027 * [backup-simplify]: Simplify (- 1) into -1 47.027 * [backup-simplify]: Simplify (+ 0 -1) into -1 47.027 * [backup-simplify]: Simplify (* 1/4 -1) into -1/4 47.028 * [backup-simplify]: Simplify (* -1/4 (log (* 2 PI))) into (* -1/4 (log (* 2 PI))) 47.029 * [backup-simplify]: Simplify (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 PI)))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 47.029 * [taylor]: Taking taylor expansion of (sqrt k) in k 47.029 * [taylor]: Taking taylor expansion of k in k 47.029 * [backup-simplify]: Simplify 0 into 0 47.029 * [backup-simplify]: Simplify 1 into 1 47.029 * [backup-simplify]: Simplify (sqrt 0) into 0 47.030 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 47.030 * [taylor]: Taking taylor expansion of (* (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) (sqrt k)) in k 47.030 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) in k 47.030 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 PI)))) in k 47.030 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 PI))) in k 47.030 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in k 47.030 * [taylor]: Taking taylor expansion of 1/4 in k 47.030 * [backup-simplify]: Simplify 1/4 into 1/4 47.030 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 47.030 * [taylor]: Taking taylor expansion of 1 in k 47.031 * [backup-simplify]: Simplify 1 into 1 47.031 * [taylor]: Taking taylor expansion of (/ 1 k) in k 47.031 * [taylor]: Taking taylor expansion of k in k 47.031 * [backup-simplify]: Simplify 0 into 0 47.031 * [backup-simplify]: Simplify 1 into 1 47.031 * [backup-simplify]: Simplify (/ 1 1) into 1 47.031 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 47.031 * [taylor]: Taking taylor expansion of (* 2 PI) in k 47.031 * [taylor]: Taking taylor expansion of 2 in k 47.031 * [backup-simplify]: Simplify 2 into 2 47.031 * [taylor]: Taking taylor expansion of PI in k 47.031 * [backup-simplify]: Simplify PI into PI 47.031 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 47.032 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 47.032 * [backup-simplify]: Simplify (- 1) into -1 47.032 * [backup-simplify]: Simplify (+ 0 -1) into -1 47.033 * [backup-simplify]: Simplify (* 1/4 -1) into -1/4 47.034 * [backup-simplify]: Simplify (* -1/4 (log (* 2 PI))) into (* -1/4 (log (* 2 PI))) 47.034 * [backup-simplify]: Simplify (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 PI)))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 47.034 * [taylor]: Taking taylor expansion of (sqrt k) in k 47.034 * [taylor]: Taking taylor expansion of k in k 47.034 * [backup-simplify]: Simplify 0 into 0 47.034 * [backup-simplify]: Simplify 1 into 1 47.035 * [backup-simplify]: Simplify (sqrt 0) into 0 47.035 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 47.036 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 0) into 0 47.036 * [backup-simplify]: Simplify 0 into 0 47.037 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) 47.038 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) 47.039 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 47.041 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) 47.041 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) 47.044 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 47.045 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) 47.045 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) 47.048 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/4 (* (- 1 (/ 1 (/ 1 k))) (log (* 2 PI))))))) (pow (/ 1 k) 3)) (+ (* (- (* +nan.0 (exp (* 1/4 (* (- 1 (/ 1 (/ 1 k))) (log (* 2 PI))))))) (pow (/ 1 k) 2)) (* (- (* +nan.0 (exp (* 1/4 (* (- 1 (/ 1 (/ 1 k))) (log (* 2 PI))))))) (/ 1 k)))) into (- (+ (* +nan.0 (/ (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) k)) (- (* +nan.0 (/ (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) (pow k 2)))))))) 47.048 * [backup-simplify]: Simplify (* (/ 1 (sqrt (/ 1 (- k)))) (pow (* 2 PI) (/ (/ (- 1 (/ 1 (- k))) 2) 2))) into (/ (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) 47.048 * [approximate]: Taking taylor expansion of (/ (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (k) around 0 47.048 * [taylor]: Taking taylor expansion of (/ (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 47.048 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) in k 47.048 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* 2 PI)))) in k 47.048 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* 2 PI))) in k 47.048 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in k 47.048 * [taylor]: Taking taylor expansion of 1/4 in k 47.048 * [backup-simplify]: Simplify 1/4 into 1/4 47.048 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 47.048 * [taylor]: Taking taylor expansion of (/ 1 k) in k 47.048 * [taylor]: Taking taylor expansion of k in k 47.048 * [backup-simplify]: Simplify 0 into 0 47.048 * [backup-simplify]: Simplify 1 into 1 47.048 * [backup-simplify]: Simplify (/ 1 1) into 1 47.049 * [taylor]: Taking taylor expansion of 1 in k 47.049 * [backup-simplify]: Simplify 1 into 1 47.049 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 47.049 * [taylor]: Taking taylor expansion of (* 2 PI) in k 47.049 * [taylor]: Taking taylor expansion of 2 in k 47.049 * [backup-simplify]: Simplify 2 into 2 47.049 * [taylor]: Taking taylor expansion of PI in k 47.049 * [backup-simplify]: Simplify PI into PI 47.049 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 47.050 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 47.050 * [backup-simplify]: Simplify (+ 1 0) into 1 47.050 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 47.051 * [backup-simplify]: Simplify (* 1/4 (log (* 2 PI))) into (* 1/4 (log (* 2 PI))) 47.052 * [backup-simplify]: Simplify (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* 2 PI)))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 47.052 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 47.052 * [taylor]: Taking taylor expansion of (/ -1 k) in k 47.052 * [taylor]: Taking taylor expansion of -1 in k 47.052 * [backup-simplify]: Simplify -1 into -1 47.052 * [taylor]: Taking taylor expansion of k in k 47.052 * [backup-simplify]: Simplify 0 into 0 47.052 * [backup-simplify]: Simplify 1 into 1 47.052 * [backup-simplify]: Simplify (/ -1 1) into -1 47.052 * [backup-simplify]: Simplify (sqrt 0) into 0 47.053 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 47.054 * [backup-simplify]: Simplify (/ (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) +nan.0) into (* +nan.0 (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) 47.054 * [taylor]: Taking taylor expansion of (/ (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 47.054 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) in k 47.054 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* 2 PI)))) in k 47.054 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* 2 PI))) in k 47.054 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in k 47.054 * [taylor]: Taking taylor expansion of 1/4 in k 47.054 * [backup-simplify]: Simplify 1/4 into 1/4 47.054 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 47.054 * [taylor]: Taking taylor expansion of (/ 1 k) in k 47.054 * [taylor]: Taking taylor expansion of k in k 47.054 * [backup-simplify]: Simplify 0 into 0 47.054 * [backup-simplify]: Simplify 1 into 1 47.054 * [backup-simplify]: Simplify (/ 1 1) into 1 47.054 * [taylor]: Taking taylor expansion of 1 in k 47.054 * [backup-simplify]: Simplify 1 into 1 47.054 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 47.054 * [taylor]: Taking taylor expansion of (* 2 PI) in k 47.054 * [taylor]: Taking taylor expansion of 2 in k 47.054 * [backup-simplify]: Simplify 2 into 2 47.054 * [taylor]: Taking taylor expansion of PI in k 47.055 * [backup-simplify]: Simplify PI into PI 47.055 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 47.055 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 47.056 * [backup-simplify]: Simplify (+ 1 0) into 1 47.056 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 47.057 * [backup-simplify]: Simplify (* 1/4 (log (* 2 PI))) into (* 1/4 (log (* 2 PI))) 47.058 * [backup-simplify]: Simplify (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* 2 PI)))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 47.058 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 47.058 * [taylor]: Taking taylor expansion of (/ -1 k) in k 47.058 * [taylor]: Taking taylor expansion of -1 in k 47.058 * [backup-simplify]: Simplify -1 into -1 47.058 * [taylor]: Taking taylor expansion of k in k 47.058 * [backup-simplify]: Simplify 0 into 0 47.058 * [backup-simplify]: Simplify 1 into 1 47.058 * [backup-simplify]: Simplify (/ -1 1) into -1 47.058 * [backup-simplify]: Simplify (sqrt 0) into 0 47.059 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 47.060 * [backup-simplify]: Simplify (/ (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) +nan.0) into (* +nan.0 (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) 47.060 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) into (* +nan.0 (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) 47.061 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 47.064 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 47.066 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))))) 47.067 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))))) 47.068 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 47.072 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 47.076 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))))) 47.077 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))))) 47.082 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/4 (* (+ (/ 1 (/ 1 (- k))) 1) (log (* 2 PI))))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (exp (* 1/4 (* (+ (/ 1 (/ 1 (- k))) 1) (log (* 2 PI))))))) (/ 1 (- k))) (* +nan.0 (exp (* 1/4 (* (+ (/ 1 (/ 1 (- k))) 1) (log (* 2 PI)))))))) into (- (+ (* +nan.0 (/ (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) (pow k 2))) (- (* +nan.0 (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))))))))) 47.082 * * * [progress]: simplifying candidates 47.082 * * * * [progress]: [ 1 / 406 ] simplifiying candidate # 47.082 * [simplify]: Simplifying (* (log n) (/ (- 1 k) 2)) 47.082 * * [simplify]: iters left: 6 (8 enodes) 47.088 * * [simplify]: iters left: 5 (35 enodes) 47.098 * * [simplify]: iters left: 4 (56 enodes) 47.107 * * [simplify]: iters left: 3 (70 enodes) 47.123 * * [simplify]: iters left: 2 (125 enodes) 47.161 * * [simplify]: iters left: 1 (158 enodes) 47.214 * * [simplify]: Extracting #0: cost 1 inf + 0 47.215 * * [simplify]: Extracting #1: cost 16 inf + 0 47.215 * * [simplify]: Extracting #2: cost 41 inf + 3 47.215 * * [simplify]: Extracting #3: cost 33 inf + 990 47.217 * * [simplify]: Extracting #4: cost 6 inf + 4107 47.219 * * [simplify]: Extracting #5: cost 0 inf + 5034 47.222 * [simplify]: Simplified to (- (* 1/2 (log n)) (* k (* 1/2 (log n)))) 47.222 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (exp (- (* 1/2 (log n)) (* k (* 1/2 (log n))))))) 47.222 * * * * [progress]: [ 2 / 406 ] simplifiying candidate # 47.222 * * * * [progress]: [ 3 / 406 ] simplifiying candidate # 47.222 * * * * [progress]: [ 4 / 406 ] simplifiying candidate # 47.223 * [simplify]: Simplifying (pow n (/ k 2)) 47.223 * * [simplify]: iters left: 3 (5 enodes) 47.225 * * [simplify]: iters left: 2 (18 enodes) 47.231 * * [simplify]: iters left: 1 (30 enodes) 47.246 * * [simplify]: Extracting #0: cost 1 inf + 0 47.246 * * [simplify]: Extracting #1: cost 10 inf + 0 47.246 * * [simplify]: Extracting #2: cost 23 inf + 1 47.246 * * [simplify]: Extracting #3: cost 23 inf + 46 47.246 * * [simplify]: Extracting #4: cost 11 inf + 1346 47.247 * * [simplify]: Extracting #5: cost 1 inf + 3938 47.248 * * [simplify]: Extracting #6: cost 0 inf + 4111 47.249 * * [simplify]: Extracting #7: cost 0 inf + 4070 47.249 * [simplify]: Simplified to (pow n (/ k 2)) 47.249 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (/ (pow n (/ 1 2)) (pow n (/ k 2))))) 47.250 * * * * [progress]: [ 5 / 406 ] simplifiying candidate # 47.250 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2)) 47.250 * * [simplify]: iters left: 5 (6 enodes) 47.254 * * [simplify]: iters left: 4 (26 enodes) 47.263 * * [simplify]: iters left: 3 (35 enodes) 47.274 * * [simplify]: Extracting #0: cost 1 inf + 0 47.274 * * [simplify]: Extracting #1: cost 3 inf + 0 47.274 * * [simplify]: Extracting #2: cost 8 inf + 0 47.274 * * [simplify]: Extracting #3: cost 11 inf + 2 47.275 * * [simplify]: Extracting #4: cost 8 inf + 87 47.275 * * [simplify]: Extracting #5: cost 2 inf + 500 47.275 * * [simplify]: Extracting #6: cost 0 inf + 746 47.276 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2)) 47.276 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (pow n (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))))) 47.276 * * * * [progress]: [ 6 / 406 ] simplifiying candidate # 47.277 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2)) 47.277 * * [simplify]: iters left: 5 (6 enodes) 47.281 * * [simplify]: iters left: 4 (26 enodes) 47.290 * * [simplify]: iters left: 3 (35 enodes) 47.301 * * [simplify]: Extracting #0: cost 1 inf + 0 47.301 * * [simplify]: Extracting #1: cost 3 inf + 0 47.301 * * [simplify]: Extracting #2: cost 8 inf + 0 47.301 * * [simplify]: Extracting #3: cost 11 inf + 2 47.301 * * [simplify]: Extracting #4: cost 8 inf + 87 47.301 * * [simplify]: Extracting #5: cost 2 inf + 460 47.302 * * [simplify]: Extracting #6: cost 0 inf + 666 47.302 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2)) 47.302 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (pow n (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))))) 47.302 * * * * [progress]: [ 7 / 406 ] simplifiying candidate # 47.303 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2)) 47.303 * * [simplify]: iters left: 5 (7 enodes) 47.307 * * [simplify]: iters left: 4 (25 enodes) 47.312 * * [simplify]: iters left: 3 (30 enodes) 47.318 * * [simplify]: Extracting #0: cost 1 inf + 0 47.318 * * [simplify]: Extracting #1: cost 4 inf + 0 47.318 * * [simplify]: Extracting #2: cost 8 inf + 0 47.318 * * [simplify]: Extracting #3: cost 10 inf + 82 47.318 * * [simplify]: Extracting #4: cost 7 inf + 206 47.318 * * [simplify]: Extracting #5: cost 2 inf + 575 47.318 * * [simplify]: Extracting #6: cost 1 inf + 818 47.318 * * [simplify]: Extracting #7: cost 0 inf + 1061 47.318 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2)) 47.318 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (pow n (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))))) 47.319 * * * * [progress]: [ 8 / 406 ] simplifiying candidate # 47.319 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2)) 47.319 * * [simplify]: iters left: 5 (7 enodes) 47.321 * * [simplify]: iters left: 4 (25 enodes) 47.326 * * [simplify]: iters left: 3 (30 enodes) 47.331 * * [simplify]: Extracting #0: cost 1 inf + 0 47.331 * * [simplify]: Extracting #1: cost 4 inf + 0 47.331 * * [simplify]: Extracting #2: cost 8 inf + 0 47.331 * * [simplify]: Extracting #3: cost 10 inf + 42 47.331 * * [simplify]: Extracting #4: cost 7 inf + 126 47.332 * * [simplify]: Extracting #5: cost 2 inf + 495 47.332 * * [simplify]: Extracting #6: cost 1 inf + 698 47.332 * * [simplify]: Extracting #7: cost 0 inf + 901 47.332 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2)) 47.332 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (pow n (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2))))) 47.332 * * * * [progress]: [ 9 / 406 ] simplifiying candidate # 47.333 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2) 47.333 * * [simplify]: iters left: 5 (6 enodes) 47.337 * * [simplify]: iters left: 4 (22 enodes) 47.344 * * [simplify]: iters left: 3 (27 enodes) 47.353 * * [simplify]: Extracting #0: cost 1 inf + 0 47.353 * * [simplify]: Extracting #1: cost 4 inf + 0 47.353 * * [simplify]: Extracting #2: cost 5 inf + 1 47.353 * * [simplify]: Extracting #3: cost 9 inf + 1 47.353 * * [simplify]: Extracting #4: cost 8 inf + 3 47.353 * * [simplify]: Extracting #5: cost 4 inf + 169 47.353 * * [simplify]: Extracting #6: cost 1 inf + 576 47.354 * * [simplify]: Extracting #7: cost 0 inf + 739 47.354 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 47.354 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (pow n (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2)))) 47.354 * * * * [progress]: [ 10 / 406 ] simplifiying candidate # 47.354 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2)) 47.355 * * [simplify]: iters left: 5 (7 enodes) 47.359 * * [simplify]: iters left: 4 (25 enodes) 47.365 * * [simplify]: iters left: 3 (30 enodes) 47.370 * * [simplify]: Extracting #0: cost 1 inf + 0 47.370 * * [simplify]: Extracting #1: cost 4 inf + 0 47.370 * * [simplify]: Extracting #2: cost 8 inf + 0 47.370 * * [simplify]: Extracting #3: cost 10 inf + 82 47.370 * * [simplify]: Extracting #4: cost 7 inf + 206 47.370 * * [simplify]: Extracting #5: cost 2 inf + 495 47.370 * * [simplify]: Extracting #6: cost 1 inf + 698 47.370 * * [simplify]: Extracting #7: cost 0 inf + 901 47.370 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2)) 47.370 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (pow n (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2))))) 47.370 * * * * [progress]: [ 11 / 406 ] simplifiying candidate # 47.371 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2)) 47.371 * * [simplify]: iters left: 5 (7 enodes) 47.376 * * [simplify]: iters left: 4 (25 enodes) 47.381 * * [simplify]: iters left: 3 (30 enodes) 47.386 * * [simplify]: Extracting #0: cost 1 inf + 0 47.386 * * [simplify]: Extracting #1: cost 4 inf + 0 47.386 * * [simplify]: Extracting #2: cost 8 inf + 0 47.386 * * [simplify]: Extracting #3: cost 10 inf + 42 47.386 * * [simplify]: Extracting #4: cost 7 inf + 126 47.386 * * [simplify]: Extracting #5: cost 2 inf + 415 47.386 * * [simplify]: Extracting #6: cost 1 inf + 578 47.386 * * [simplify]: Extracting #7: cost 0 inf + 741 47.387 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2)) 47.387 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (pow n (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))))) 47.387 * * * * [progress]: [ 12 / 406 ] simplifiying candidate # 47.387 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2) 47.387 * * [simplify]: iters left: 5 (6 enodes) 47.389 * * [simplify]: iters left: 4 (22 enodes) 47.397 * * [simplify]: iters left: 3 (27 enodes) 47.405 * * [simplify]: Extracting #0: cost 1 inf + 0 47.405 * * [simplify]: Extracting #1: cost 4 inf + 0 47.405 * * [simplify]: Extracting #2: cost 5 inf + 1 47.405 * * [simplify]: Extracting #3: cost 9 inf + 1 47.406 * * [simplify]: Extracting #4: cost 8 inf + 3 47.406 * * [simplify]: Extracting #5: cost 4 inf + 169 47.406 * * [simplify]: Extracting #6: cost 1 inf + 456 47.406 * * [simplify]: Extracting #7: cost 0 inf + 579 47.406 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 47.406 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (pow n (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)))) 47.407 * * * * [progress]: [ 13 / 406 ] simplifiying candidate # 47.407 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 47.407 * * [simplify]: iters left: 4 (6 enodes) 47.411 * * [simplify]: iters left: 3 (25 enodes) 47.419 * * [simplify]: iters left: 2 (36 enodes) 47.424 * * [simplify]: iters left: 1 (40 enodes) 47.431 * * [simplify]: Extracting #0: cost 1 inf + 0 47.431 * * [simplify]: Extracting #1: cost 7 inf + 0 47.431 * * [simplify]: Extracting #2: cost 16 inf + 0 47.431 * * [simplify]: Extracting #3: cost 13 inf + 44 47.431 * * [simplify]: Extracting #4: cost 3 inf + 1103 47.431 * * [simplify]: Extracting #5: cost 0 inf + 1469 47.431 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 47.431 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (pow n (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))))) 47.432 * * * * [progress]: [ 14 / 406 ] simplifiying candidate # 47.432 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 47.432 * * [simplify]: iters left: 4 (6 enodes) 47.434 * * [simplify]: iters left: 3 (25 enodes) 47.438 * * [simplify]: iters left: 2 (36 enodes) 47.444 * * [simplify]: iters left: 1 (40 enodes) 47.450 * * [simplify]: Extracting #0: cost 1 inf + 0 47.450 * * [simplify]: Extracting #1: cost 7 inf + 0 47.450 * * [simplify]: Extracting #2: cost 16 inf + 0 47.450 * * [simplify]: Extracting #3: cost 13 inf + 44 47.450 * * [simplify]: Extracting #4: cost 3 inf + 823 47.450 * * [simplify]: Extracting #5: cost 0 inf + 1069 47.450 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 47.450 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (pow n (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))))) 47.451 * * * * [progress]: [ 15 / 406 ] simplifiying candidate # 47.451 * [simplify]: Simplifying (/ (- 1 k) 2) 47.451 * * [simplify]: iters left: 4 (5 enodes) 47.453 * * [simplify]: iters left: 3 (23 enodes) 47.457 * * [simplify]: iters left: 2 (32 enodes) 47.462 * * [simplify]: Extracting #0: cost 1 inf + 0 47.462 * * [simplify]: Extracting #1: cost 6 inf + 0 47.462 * * [simplify]: Extracting #2: cost 9 inf + 2 47.462 * * [simplify]: Extracting #3: cost 6 inf + 87 47.462 * * [simplify]: Extracting #4: cost 0 inf + 420 47.462 * [simplify]: Simplified to (/ (- 1 k) 2) 47.462 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (pow n (/ 1 1)) (/ (- 1 k) 2)))) 47.462 * * * * [progress]: [ 16 / 406 ] simplifiying candidate # 47.462 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 47.462 * * [simplify]: iters left: 5 (8 enodes) 47.465 * * [simplify]: iters left: 4 (31 enodes) 47.472 * * [simplify]: iters left: 3 (45 enodes) 47.479 * * [simplify]: iters left: 2 (51 enodes) 47.486 * * [simplify]: iters left: 1 (52 enodes) 47.493 * * [simplify]: Extracting #0: cost 1 inf + 0 47.493 * * [simplify]: Extracting #1: cost 8 inf + 0 47.493 * * [simplify]: Extracting #2: cost 18 inf + 0 47.493 * * [simplify]: Extracting #3: cost 19 inf + 2 47.493 * * [simplify]: Extracting #4: cost 9 inf + 977 47.494 * * [simplify]: Extracting #5: cost 2 inf + 1790 47.494 * * [simplify]: Extracting #6: cost 0 inf + 2195 47.494 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 47.494 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (pow n (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))))) 47.495 * * * * [progress]: [ 17 / 406 ] simplifiying candidate # 47.495 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 47.495 * * [simplify]: iters left: 5 (8 enodes) 47.498 * * [simplify]: iters left: 4 (31 enodes) 47.503 * * [simplify]: iters left: 3 (45 enodes) 47.509 * * [simplify]: iters left: 2 (51 enodes) 47.517 * * [simplify]: iters left: 1 (52 enodes) 47.524 * * [simplify]: Extracting #0: cost 1 inf + 0 47.524 * * [simplify]: Extracting #1: cost 8 inf + 0 47.524 * * [simplify]: Extracting #2: cost 18 inf + 0 47.524 * * [simplify]: Extracting #3: cost 19 inf + 2 47.524 * * [simplify]: Extracting #4: cost 9 inf + 697 47.524 * * [simplify]: Extracting #5: cost 2 inf + 1390 47.524 * * [simplify]: Extracting #6: cost 0 inf + 1715 47.525 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 47.525 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (pow n (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))))) 47.525 * * * * [progress]: [ 18 / 406 ] simplifiying candidate # 47.525 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 47.525 * * [simplify]: iters left: 5 (7 enodes) 47.528 * * [simplify]: iters left: 4 (29 enodes) 47.533 * * [simplify]: iters left: 3 (43 enodes) 47.539 * * [simplify]: iters left: 2 (47 enodes) 47.545 * * [simplify]: Extracting #0: cost 1 inf + 0 47.545 * * [simplify]: Extracting #1: cost 7 inf + 0 47.545 * * [simplify]: Extracting #2: cost 11 inf + 2 47.545 * * [simplify]: Extracting #3: cost 13 inf + 3 47.545 * * [simplify]: Extracting #4: cost 11 inf + 45 47.545 * * [simplify]: Extracting #5: cost 0 inf + 1066 47.545 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 47.545 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (pow n (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 47.545 * * * * [progress]: [ 19 / 406 ] simplifiying candidate # 47.546 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 47.546 * * [simplify]: iters left: 5 (7 enodes) 47.548 * * [simplify]: iters left: 4 (28 enodes) 47.555 * * [simplify]: iters left: 3 (39 enodes) 47.561 * * [simplify]: iters left: 2 (43 enodes) 47.567 * * [simplify]: Extracting #0: cost 1 inf + 0 47.567 * * [simplify]: Extracting #1: cost 7 inf + 0 47.567 * * [simplify]: Extracting #2: cost 16 inf + 0 47.568 * * [simplify]: Extracting #3: cost 15 inf + 164 47.568 * * [simplify]: Extracting #4: cost 13 inf + 287 47.568 * * [simplify]: Extracting #5: cost 5 inf + 1180 47.568 * * [simplify]: Extracting #6: cost 0 inf + 1951 47.568 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 47.568 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (pow n (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))))) 47.569 * * * * [progress]: [ 20 / 406 ] simplifiying candidate # 47.569 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 47.569 * * [simplify]: iters left: 5 (7 enodes) 47.573 * * [simplify]: iters left: 4 (28 enodes) 47.583 * * [simplify]: iters left: 3 (39 enodes) 47.595 * * [simplify]: iters left: 2 (43 enodes) 47.607 * * [simplify]: Extracting #0: cost 1 inf + 0 47.607 * * [simplify]: Extracting #1: cost 7 inf + 0 47.607 * * [simplify]: Extracting #2: cost 16 inf + 0 47.608 * * [simplify]: Extracting #3: cost 15 inf + 84 47.608 * * [simplify]: Extracting #4: cost 13 inf + 167 47.608 * * [simplify]: Extracting #5: cost 5 inf + 900 47.609 * * [simplify]: Extracting #6: cost 0 inf + 1551 47.609 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 47.609 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (pow n (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))))) 47.609 * * * * [progress]: [ 21 / 406 ] simplifiying candidate # 47.610 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 47.610 * * [simplify]: iters left: 5 (6 enodes) 47.614 * * [simplify]: iters left: 4 (26 enodes) 47.623 * * [simplify]: iters left: 3 (35 enodes) 47.633 * * [simplify]: Extracting #0: cost 1 inf + 0 47.634 * * [simplify]: Extracting #1: cost 6 inf + 0 47.634 * * [simplify]: Extracting #2: cost 9 inf + 2 47.634 * * [simplify]: Extracting #3: cost 11 inf + 3 47.634 * * [simplify]: Extracting #4: cost 10 inf + 4 47.634 * * [simplify]: Extracting #5: cost 3 inf + 535 47.634 * * [simplify]: Extracting #6: cost 0 inf + 822 47.635 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 47.635 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 47.635 * * * * [progress]: [ 22 / 406 ] simplifiying candidate # 47.635 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 47.635 * * [simplify]: iters left: 4 (6 enodes) 47.639 * * [simplify]: iters left: 3 (25 enodes) 47.648 * * [simplify]: iters left: 2 (36 enodes) 47.660 * * [simplify]: iters left: 1 (40 enodes) 47.671 * * [simplify]: Extracting #0: cost 1 inf + 0 47.671 * * [simplify]: Extracting #1: cost 7 inf + 0 47.671 * * [simplify]: Extracting #2: cost 16 inf + 0 47.671 * * [simplify]: Extracting #3: cost 13 inf + 44 47.671 * * [simplify]: Extracting #4: cost 3 inf + 1103 47.671 * * [simplify]: Extracting #5: cost 0 inf + 1469 47.672 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 47.672 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (pow n (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))))) 47.672 * * * * [progress]: [ 23 / 406 ] simplifiying candidate # 47.672 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 47.672 * * [simplify]: iters left: 4 (6 enodes) 47.674 * * [simplify]: iters left: 3 (25 enodes) 47.679 * * [simplify]: iters left: 2 (36 enodes) 47.684 * * [simplify]: iters left: 1 (40 enodes) 47.692 * * [simplify]: Extracting #0: cost 1 inf + 0 47.692 * * [simplify]: Extracting #1: cost 7 inf + 0 47.692 * * [simplify]: Extracting #2: cost 16 inf + 0 47.692 * * [simplify]: Extracting #3: cost 13 inf + 44 47.693 * * [simplify]: Extracting #4: cost 3 inf + 823 47.693 * * [simplify]: Extracting #5: cost 0 inf + 1069 47.693 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 47.693 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (pow n (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))))) 47.693 * * * * [progress]: [ 24 / 406 ] simplifiying candidate # 47.693 * [simplify]: Simplifying (/ (- 1 k) 2) 47.693 * * [simplify]: iters left: 4 (5 enodes) 47.695 * * [simplify]: iters left: 3 (23 enodes) 47.699 * * [simplify]: iters left: 2 (32 enodes) 47.704 * * [simplify]: Extracting #0: cost 1 inf + 0 47.704 * * [simplify]: Extracting #1: cost 6 inf + 0 47.704 * * [simplify]: Extracting #2: cost 9 inf + 2 47.704 * * [simplify]: Extracting #3: cost 6 inf + 87 47.704 * * [simplify]: Extracting #4: cost 0 inf + 420 47.705 * [simplify]: Simplified to (/ (- 1 k) 2) 47.705 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (pow n (/ 1 1)) (/ (- 1 k) 2)))) 47.705 * * * * [progress]: [ 25 / 406 ] simplifiying candidate # 47.705 * [simplify]: Simplifying (/ (- 1 k) 2) 47.705 * * [simplify]: iters left: 4 (5 enodes) 47.707 * * [simplify]: iters left: 3 (23 enodes) 47.711 * * [simplify]: iters left: 2 (32 enodes) 47.715 * * [simplify]: Extracting #0: cost 1 inf + 0 47.716 * * [simplify]: Extracting #1: cost 6 inf + 0 47.716 * * [simplify]: Extracting #2: cost 9 inf + 2 47.716 * * [simplify]: Extracting #3: cost 6 inf + 87 47.716 * * [simplify]: Extracting #4: cost 0 inf + 420 47.716 * [simplify]: Simplified to (/ (- 1 k) 2) 47.716 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (pow n 1) (/ (- 1 k) 2)))) 47.716 * * * * [progress]: [ 26 / 406 ] simplifiying candidate # 47.716 * [simplify]: Simplifying (/ 1 2) 47.716 * * [simplify]: iters left: 2 (3 enodes) 47.718 * * [simplify]: iters left: 1 (12 enodes) 47.720 * * [simplify]: Extracting #0: cost 1 inf + 0 47.720 * * [simplify]: Extracting #1: cost 0 inf + 1 47.720 * [simplify]: Simplified to 1/2 47.720 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (pow n (- 1 k)) 1/2))) 47.720 * * * * [progress]: [ 27 / 406 ] simplifiying candidate # 47.721 * [simplify]: Simplifying (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) 47.721 * * [simplify]: iters left: 5 (9 enodes) 47.723 * * [simplify]: iters left: 4 (38 enodes) 47.731 * * [simplify]: iters left: 3 (63 enodes) 47.751 * * [simplify]: iters left: 2 (98 enodes) 47.771 * * [simplify]: iters left: 1 (167 enodes) 47.809 * * [simplify]: Extracting #0: cost 1 inf + 0 47.809 * * [simplify]: Extracting #1: cost 13 inf + 0 47.809 * * [simplify]: Extracting #2: cost 54 inf + 1 47.809 * * [simplify]: Extracting #3: cost 87 inf + 5 47.809 * * [simplify]: Extracting #4: cost 68 inf + 1334 47.810 * * [simplify]: Extracting #5: cost 40 inf + 5047 47.813 * * [simplify]: Extracting #6: cost 11 inf + 17686 47.816 * * [simplify]: Extracting #7: cost 0 inf + 25802 47.819 * [simplify]: Simplified to (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) 47.819 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (pow (cbrt n) (/ (- 1 k) 2))))) 47.820 * * * * [progress]: [ 28 / 406 ] simplifiying candidate # 47.820 * [simplify]: Simplifying (pow (sqrt n) (/ (- 1 k) 2)) 47.820 * * [simplify]: iters left: 5 (8 enodes) 47.823 * * [simplify]: iters left: 4 (35 enodes) 47.832 * * [simplify]: iters left: 3 (56 enodes) 47.851 * * [simplify]: iters left: 2 (89 enodes) 47.886 * * [simplify]: iters left: 1 (175 enodes) 47.942 * * [simplify]: Extracting #0: cost 1 inf + 0 47.942 * * [simplify]: Extracting #1: cost 13 inf + 0 47.942 * * [simplify]: Extracting #2: cost 53 inf + 1 47.943 * * [simplify]: Extracting #3: cost 83 inf + 47 47.943 * * [simplify]: Extracting #4: cost 66 inf + 2084 47.945 * * [simplify]: Extracting #5: cost 25 inf + 7926 47.947 * * [simplify]: Extracting #6: cost 3 inf + 20905 47.950 * * [simplify]: Extracting #7: cost 0 inf + 22641 47.953 * * [simplify]: Extracting #8: cost 0 inf + 22420 47.956 * [simplify]: Simplified to (pow (sqrt n) (/ (- 1 k) 2)) 47.956 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (sqrt n) (/ (- 1 k) 2)) (pow (sqrt n) (/ (- 1 k) 2))))) 47.956 * * * * [progress]: [ 29 / 406 ] simplifiying candidate # 47.956 * [simplify]: Simplifying (pow 1 (/ (- 1 k) 2)) 47.956 * * [simplify]: iters left: 5 (6 enodes) 47.959 * * [simplify]: iters left: 4 (24 enodes) 47.963 * * [simplify]: iters left: 3 (33 enodes) 47.968 * * [simplify]: Extracting #0: cost 1 inf + 0 47.968 * * [simplify]: Extracting #1: cost 0 inf + 1 47.968 * [simplify]: Simplified to 1 47.968 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* 1 (pow n (/ (- 1 k) 2))))) 47.968 * * * * [progress]: [ 30 / 406 ] simplifiying candidate # 47.968 * * * * [progress]: [ 31 / 406 ] simplifiying candidate # 47.968 * * * * [progress]: [ 32 / 406 ] simplifiying candidate # 47.968 * * * * [progress]: [ 33 / 406 ] simplifiying candidate # 47.968 * * * * [progress]: [ 34 / 406 ] simplifiying candidate # 47.968 * * * * [progress]: [ 35 / 406 ] simplifiying candidate # 47.969 * * * * [progress]: [ 36 / 406 ] simplifiying candidate # 47.969 * * * * [progress]: [ 37 / 406 ] simplifiying candidate # 47.969 * * * * [progress]: [ 38 / 406 ] simplifiying candidate #real (real->posit16 (pow n (/ (- 1 k) 2))))))> 47.969 * * * * [progress]: [ 39 / 406 ] simplifiying candidate # 47.969 * * * * [progress]: [ 40 / 406 ] simplifiying candidate # 47.969 * [simplify]: Simplifying (- 1/2) 47.969 * * [simplify]: iters left: 2 (2 enodes) 47.970 * * [simplify]: iters left: 1 (7 enodes) 47.972 * * [simplify]: Extracting #0: cost 1 inf + 0 47.972 * * [simplify]: Extracting #1: cost 0 inf + 1 47.972 * [simplify]: Simplified to -1/2 47.972 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (* (* (pow k -1/2) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 47.972 * * * * [progress]: [ 41 / 406 ] simplifiying candidate # 47.972 * [simplify]: Simplifying (- 1) 47.972 * * [simplify]: iters left: 2 (2 enodes) 47.973 * * [simplify]: iters left: 1 (9 enodes) 47.975 * * [simplify]: Extracting #0: cost 1 inf + 0 47.975 * * [simplify]: Extracting #1: cost 0 inf + 1 47.975 * [simplify]: Simplified to -1 47.975 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (* (* (pow (sqrt k) -1) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 47.975 * * * * [progress]: [ 42 / 406 ] simplifiying candidate # 47.976 * [simplify]: Simplifying (- (/ 1 2)) 47.976 * * [simplify]: iters left: 4 (4 enodes) 47.978 * * [simplify]: iters left: 3 (19 enodes) 47.982 * * [simplify]: iters left: 2 (23 enodes) 47.985 * * [simplify]: Extracting #0: cost 1 inf + 0 47.985 * * [simplify]: Extracting #1: cost 0 inf + 1 47.985 * [simplify]: Simplified to -1/2 47.985 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (* (* (pow k -1/2) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 47.985 * * * * [progress]: [ 43 / 406 ] simplifiying candidate # 47.985 * * * * [progress]: [ 44 / 406 ] simplifiying candidate # 47.986 * * * * [progress]: [ 45 / 406 ] simplifiying candidate # 47.986 * [simplify]: Simplifying (- 0 (log (sqrt k))) 47.986 * * [simplify]: iters left: 4 (5 enodes) 47.990 * * [simplify]: iters left: 3 (17 enodes) 47.994 * * [simplify]: iters left: 2 (21 enodes) 47.999 * * [simplify]: iters left: 1 (23 enodes) 48.006 * * [simplify]: Extracting #0: cost 1 inf + 0 48.006 * * [simplify]: Extracting #1: cost 4 inf + 0 48.006 * * [simplify]: Extracting #2: cost 5 inf + 1 48.006 * * [simplify]: Extracting #3: cost 7 inf + 1 48.006 * * [simplify]: Extracting #4: cost 0 inf + 608 48.006 * [simplify]: Simplified to (- (log (sqrt k))) 48.006 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (* (* (exp (- (log (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 48.006 * * * * [progress]: [ 46 / 406 ] simplifiying candidate # 48.007 * [simplify]: Simplifying (- (log 1) (log (sqrt k))) 48.007 * * [simplify]: iters left: 4 (6 enodes) 48.010 * * [simplify]: iters left: 3 (22 enodes) 48.016 * * [simplify]: Extracting #0: cost 1 inf + 0 48.017 * * [simplify]: Extracting #1: cost 4 inf + 0 48.017 * * [simplify]: Extracting #2: cost 5 inf + 1 48.017 * * [simplify]: Extracting #3: cost 7 inf + 1 48.017 * * [simplify]: Extracting #4: cost 6 inf + 2 48.017 * * [simplify]: Extracting #5: cost 1 inf + 457 48.017 * * [simplify]: Extracting #6: cost 0 inf + 608 48.017 * [simplify]: Simplified to (- (log (sqrt k))) 48.017 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (* (* (exp (- (log (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 48.017 * * * * [progress]: [ 47 / 406 ] simplifiying candidate # 48.018 * * * * [progress]: [ 48 / 406 ] simplifiying candidate # 48.018 * * * * [progress]: [ 49 / 406 ] simplifiying candidate # 48.018 * [simplify]: Simplifying (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))) 48.018 * * [simplify]: iters left: 6 (8 enodes) 48.022 * * [simplify]: iters left: 5 (26 enodes) 48.030 * * [simplify]: iters left: 4 (43 enodes) 48.038 * * [simplify]: iters left: 3 (59 enodes) 48.046 * * [simplify]: iters left: 2 (67 enodes) 48.054 * * [simplify]: iters left: 1 (69 enodes) 48.063 * * [simplify]: Extracting #0: cost 1 inf + 0 48.063 * * [simplify]: Extracting #1: cost 14 inf + 0 48.063 * * [simplify]: Extracting #2: cost 18 inf + 2 48.063 * * [simplify]: Extracting #3: cost 7 inf + 701 48.064 * * [simplify]: Extracting #4: cost 0 inf + 1234 48.064 * [simplify]: Simplified to (/ (/ 1 k) (sqrt k)) 48.064 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (* (* (cbrt (/ (/ 1 k) (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 48.064 * * * * [progress]: [ 50 / 406 ] simplifiying candidate # 48.064 * * * * [progress]: [ 51 / 406 ] simplifiying candidate # 48.064 * * * * [progress]: [ 52 / 406 ] simplifiying candidate # 48.064 * * * * [progress]: [ 53 / 406 ] simplifiying candidate # 48.064 * * * * [progress]: [ 54 / 406 ] simplifiying candidate # 48.064 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 48.065 * * [simplify]: iters left: 6 (8 enodes) 48.070 * * [simplify]: iters left: 5 (32 enodes) 48.080 * * [simplify]: iters left: 4 (48 enodes) 48.089 * * [simplify]: iters left: 3 (76 enodes) 48.103 * * [simplify]: iters left: 2 (81 enodes) 48.114 * * [simplify]: Extracting #0: cost 1 inf + 0 48.114 * * [simplify]: Extracting #1: cost 6 inf + 0 48.114 * * [simplify]: Extracting #2: cost 9 inf + 1 48.114 * * [simplify]: Extracting #3: cost 11 inf + 1 48.114 * * [simplify]: Extracting #4: cost 2 inf + 1052 48.115 * * [simplify]: Extracting #5: cost 0 inf + 1376 48.115 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 48.115 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (* (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1) (cbrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 48.116 * [simplify]: Simplifying (/ (cbrt 1) (cbrt (sqrt k))) 48.116 * * [simplify]: iters left: 4 (6 enodes) 48.120 * * [simplify]: iters left: 3 (20 enodes) 48.126 * * [simplify]: iters left: 2 (22 enodes) 48.133 * * [simplify]: Extracting #0: cost 1 inf + 0 48.133 * * [simplify]: Extracting #1: cost 4 inf + 0 48.133 * * [simplify]: Extracting #2: cost 5 inf + 1 48.133 * * [simplify]: Extracting #3: cost 7 inf + 1 48.133 * * [simplify]: Extracting #4: cost 1 inf + 488 48.134 * * [simplify]: Extracting #5: cost 0 inf + 650 48.134 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 48.134 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (* (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 48.134 * * * * [progress]: [ 55 / 406 ] simplifiying candidate # 48.134 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) 48.134 * * [simplify]: iters left: 6 (8 enodes) 48.139 * * [simplify]: iters left: 5 (29 enodes) 48.143 * * [simplify]: iters left: 4 (31 enodes) 48.148 * * [simplify]: Extracting #0: cost 1 inf + 0 48.148 * * [simplify]: Extracting #1: cost 4 inf + 0 48.148 * * [simplify]: Extracting #2: cost 6 inf + 1 48.148 * * [simplify]: Extracting #3: cost 9 inf + 1 48.148 * * [simplify]: Extracting #4: cost 8 inf + 2 48.148 * * [simplify]: Extracting #5: cost 2 inf + 729 48.148 * * [simplify]: Extracting #6: cost 0 inf + 972 48.148 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 48.148 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (* (* (* (/ 1 (fabs (cbrt k))) (/ (cbrt 1) (sqrt (cbrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 48.149 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (cbrt k))) 48.149 * * [simplify]: iters left: 4 (6 enodes) 48.151 * * [simplify]: iters left: 3 (20 enodes) 48.154 * * [simplify]: iters left: 2 (22 enodes) 48.157 * * [simplify]: Extracting #0: cost 1 inf + 0 48.157 * * [simplify]: Extracting #1: cost 4 inf + 0 48.157 * * [simplify]: Extracting #2: cost 5 inf + 1 48.157 * * [simplify]: Extracting #3: cost 7 inf + 1 48.157 * * [simplify]: Extracting #4: cost 1 inf + 568 48.157 * * [simplify]: Extracting #5: cost 0 inf + 730 48.157 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 48.158 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (* (* (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 48.158 * * * * [progress]: [ 56 / 406 ] simplifiying candidate # 48.158 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 48.158 * * [simplify]: iters left: 5 (7 enodes) 48.161 * * [simplify]: iters left: 4 (25 enodes) 48.165 * * [simplify]: iters left: 3 (27 enodes) 48.173 * * [simplify]: Extracting #0: cost 1 inf + 0 48.173 * * [simplify]: Extracting #1: cost 4 inf + 0 48.173 * * [simplify]: Extracting #2: cost 5 inf + 1 48.173 * * [simplify]: Extracting #3: cost 7 inf + 1 48.173 * * [simplify]: Extracting #4: cost 6 inf + 2 48.173 * * [simplify]: Extracting #5: cost 2 inf + 368 48.174 * * [simplify]: Extracting #6: cost 0 inf + 490 48.174 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 48.174 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (* (* (* (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 48.174 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt k))) 48.174 * * [simplify]: iters left: 4 (6 enodes) 48.178 * * [simplify]: iters left: 3 (20 enodes) 48.184 * * [simplify]: iters left: 2 (22 enodes) 48.190 * * [simplify]: Extracting #0: cost 1 inf + 0 48.190 * * [simplify]: Extracting #1: cost 4 inf + 0 48.190 * * [simplify]: Extracting #2: cost 5 inf + 1 48.190 * * [simplify]: Extracting #3: cost 7 inf + 1 48.190 * * [simplify]: Extracting #4: cost 1 inf + 368 48.190 * * [simplify]: Extracting #5: cost 0 inf + 490 48.190 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 48.190 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (* (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 48.190 * * * * [progress]: [ 57 / 406 ] simplifiying candidate # 48.191 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) 48.191 * * [simplify]: iters left: 5 (5 enodes) 48.196 * * [simplify]: iters left: 4 (19 enodes) 48.199 * * [simplify]: iters left: 3 (21 enodes) 48.201 * * [simplify]: Extracting #0: cost 1 inf + 0 48.201 * * [simplify]: Extracting #1: cost 0 inf + 1 48.201 * [simplify]: Simplified to 1 48.202 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (* (* (* 1 (/ (cbrt 1) (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 48.202 * [simplify]: Simplifying (/ (cbrt 1) (sqrt k)) 48.202 * * [simplify]: iters left: 3 (5 enodes) 48.204 * * [simplify]: iters left: 2 (17 enodes) 48.207 * * [simplify]: iters left: 1 (19 enodes) 48.212 * * [simplify]: Extracting #0: cost 1 inf + 0 48.212 * * [simplify]: Extracting #1: cost 4 inf + 0 48.212 * * [simplify]: Extracting #2: cost 5 inf + 1 48.212 * * [simplify]: Extracting #3: cost 0 inf + 248 48.212 * [simplify]: Simplified to (/ 1 (sqrt k)) 48.212 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (* (* (* 1 (/ 1 (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 48.212 * * * * [progress]: [ 58 / 406 ] simplifiying candidate # 48.213 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 48.213 * * [simplify]: iters left: 5 (7 enodes) 48.215 * * [simplify]: iters left: 4 (25 enodes) 48.222 * * [simplify]: iters left: 3 (27 enodes) 48.230 * * [simplify]: Extracting #0: cost 1 inf + 0 48.230 * * [simplify]: Extracting #1: cost 4 inf + 0 48.230 * * [simplify]: Extracting #2: cost 5 inf + 1 48.230 * * [simplify]: Extracting #3: cost 7 inf + 1 48.230 * * [simplify]: Extracting #4: cost 6 inf + 2 48.230 * * [simplify]: Extracting #5: cost 2 inf + 368 48.230 * * [simplify]: Extracting #6: cost 0 inf + 490 48.230 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 48.230 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (* (* (* (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 48.231 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt k))) 48.231 * * [simplify]: iters left: 4 (6 enodes) 48.235 * * [simplify]: iters left: 3 (20 enodes) 48.241 * * [simplify]: iters left: 2 (22 enodes) 48.248 * * [simplify]: Extracting #0: cost 1 inf + 0 48.248 * * [simplify]: Extracting #1: cost 4 inf + 0 48.248 * * [simplify]: Extracting #2: cost 5 inf + 1 48.248 * * [simplify]: Extracting #3: cost 7 inf + 1 48.248 * * [simplify]: Extracting #4: cost 1 inf + 368 48.248 * * [simplify]: Extracting #5: cost 0 inf + 490 48.248 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 48.249 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (* (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 48.249 * * * * [progress]: [ 59 / 406 ] simplifiying candidate # 48.249 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) 1) 48.249 * * [simplify]: iters left: 5 (4 enodes) 48.257 * * [simplify]: iters left: 4 (14 enodes) 48.260 * * [simplify]: iters left: 3 (16 enodes) 48.263 * * [simplify]: Extracting #0: cost 1 inf + 0 48.263 * * [simplify]: Extracting #1: cost 0 inf + 1 48.263 * [simplify]: Simplified to 1 48.263 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (* (* (* 1 (/ (cbrt 1) (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 48.264 * [simplify]: Simplifying (/ (cbrt 1) (sqrt k)) 48.264 * * [simplify]: iters left: 3 (5 enodes) 48.268 * * [simplify]: iters left: 2 (17 enodes) 48.273 * * [simplify]: iters left: 1 (19 enodes) 48.278 * * [simplify]: Extracting #0: cost 1 inf + 0 48.278 * * [simplify]: Extracting #1: cost 4 inf + 0 48.278 * * [simplify]: Extracting #2: cost 5 inf + 1 48.278 * * [simplify]: Extracting #3: cost 0 inf + 248 48.278 * [simplify]: Simplified to (/ 1 (sqrt k)) 48.278 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (* (* (* 1 (/ 1 (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 48.278 * * * * [progress]: [ 60 / 406 ] simplifiying candidate # 48.279 * [simplify]: Simplifying (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 48.279 * * [simplify]: iters left: 6 (7 enodes) 48.283 * * [simplify]: iters left: 5 (25 enodes) 48.291 * * [simplify]: iters left: 4 (32 enodes) 48.300 * * [simplify]: iters left: 3 (34 enodes) 48.309 * * [simplify]: Extracting #0: cost 1 inf + 0 48.309 * * [simplify]: Extracting #1: cost 7 inf + 0 48.309 * * [simplify]: Extracting #2: cost 11 inf + 1 48.309 * * [simplify]: Extracting #3: cost 13 inf + 1 48.310 * * [simplify]: Extracting #4: cost 10 inf + 84 48.310 * * [simplify]: Extracting #5: cost 4 inf + 1014 48.311 * * [simplify]: Extracting #6: cost 1 inf + 1498 48.311 * * [simplify]: Extracting #7: cost 0 inf + 1700 48.312 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 48.312 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (* (* (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (sqrt 1) (cbrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 48.312 * [simplify]: Simplifying (/ (sqrt 1) (cbrt (sqrt k))) 48.312 * * [simplify]: iters left: 4 (6 enodes) 48.316 * * [simplify]: iters left: 3 (20 enodes) 48.321 * * [simplify]: iters left: 2 (22 enodes) 48.324 * * [simplify]: Extracting #0: cost 1 inf + 0 48.325 * * [simplify]: Extracting #1: cost 4 inf + 0 48.325 * * [simplify]: Extracting #2: cost 5 inf + 1 48.325 * * [simplify]: Extracting #3: cost 7 inf + 1 48.325 * * [simplify]: Extracting #4: cost 1 inf + 488 48.325 * * [simplify]: Extracting #5: cost 0 inf + 650 48.325 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 48.325 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (* (* (* (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 48.325 * * * * [progress]: [ 61 / 406 ] simplifiying candidate # 48.325 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) 48.325 * * [simplify]: iters left: 6 (7 enodes) 48.328 * * [simplify]: iters left: 5 (24 enodes) 48.331 * * [simplify]: iters left: 4 (26 enodes) 48.335 * * [simplify]: Extracting #0: cost 1 inf + 0 48.335 * * [simplify]: Extracting #1: cost 4 inf + 0 48.335 * * [simplify]: Extracting #2: cost 6 inf + 1 48.335 * * [simplify]: Extracting #3: cost 9 inf + 1 48.335 * * [simplify]: Extracting #4: cost 8 inf + 2 48.335 * * [simplify]: Extracting #5: cost 2 inf + 730 48.336 * * [simplify]: Extracting #6: cost 0 inf + 972 48.336 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 48.336 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (* (* (* (/ 1 (fabs (cbrt k))) (/ (sqrt 1) (sqrt (cbrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 48.336 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (cbrt k))) 48.336 * * [simplify]: iters left: 4 (6 enodes) 48.338 * * [simplify]: iters left: 3 (20 enodes) 48.341 * * [simplify]: iters left: 2 (22 enodes) 48.344 * * [simplify]: Extracting #0: cost 1 inf + 0 48.344 * * [simplify]: Extracting #1: cost 4 inf + 0 48.344 * * [simplify]: Extracting #2: cost 5 inf + 1 48.344 * * [simplify]: Extracting #3: cost 7 inf + 1 48.345 * * [simplify]: Extracting #4: cost 1 inf + 568 48.345 * * [simplify]: Extracting #5: cost 0 inf + 730 48.345 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 48.345 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (* (* (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 48.345 * * * * [progress]: [ 62 / 406 ] simplifiying candidate # 48.345 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 48.345 * * [simplify]: iters left: 4 (6 enodes) 48.350 * * [simplify]: iters left: 3 (20 enodes) 48.354 * * [simplify]: iters left: 2 (22 enodes) 48.360 * * [simplify]: Extracting #0: cost 1 inf + 0 48.360 * * [simplify]: Extracting #1: cost 4 inf + 0 48.360 * * [simplify]: Extracting #2: cost 5 inf + 1 48.360 * * [simplify]: Extracting #3: cost 7 inf + 1 48.361 * * [simplify]: Extracting #4: cost 1 inf + 368 48.361 * * [simplify]: Extracting #5: cost 0 inf + 490 48.361 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 48.361 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (* (* (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 48.361 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 48.362 * * [simplify]: iters left: 4 (6 enodes) 48.365 * * [simplify]: iters left: 3 (20 enodes) 48.371 * * [simplify]: iters left: 2 (22 enodes) 48.377 * * [simplify]: Extracting #0: cost 1 inf + 0 48.377 * * [simplify]: Extracting #1: cost 4 inf + 0 48.377 * * [simplify]: Extracting #2: cost 5 inf + 1 48.377 * * [simplify]: Extracting #3: cost 7 inf + 1 48.377 * * [simplify]: Extracting #4: cost 1 inf + 368 48.378 * * [simplify]: Extracting #5: cost 0 inf + 490 48.378 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 48.378 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (* (* (* (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 48.378 * * * * [progress]: [ 63 / 406 ] simplifiying candidate # 48.379 * [simplify]: Simplifying (/ (sqrt 1) (sqrt 1)) 48.379 * * [simplify]: iters left: 3 (3 enodes) 48.382 * * [simplify]: iters left: 2 (9 enodes) 48.384 * * [simplify]: iters left: 1 (11 enodes) 48.386 * * [simplify]: Extracting #0: cost 1 inf + 0 48.386 * * [simplify]: Extracting #1: cost 0 inf + 1 48.386 * [simplify]: Simplified to 1 48.386 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (* (* (* 1 (/ (sqrt 1) (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 48.387 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k)) 48.387 * * [simplify]: iters left: 3 (5 enodes) 48.391 * * [simplify]: iters left: 2 (17 enodes) 48.396 * * [simplify]: iters left: 1 (19 enodes) 48.401 * * [simplify]: Extracting #0: cost 1 inf + 0 48.401 * * [simplify]: Extracting #1: cost 4 inf + 0 48.401 * * [simplify]: Extracting #2: cost 5 inf + 1 48.402 * * [simplify]: Extracting #3: cost 0 inf + 248 48.402 * [simplify]: Simplified to (/ 1 (sqrt k)) 48.402 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (* (* (* 1 (/ 1 (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 48.402 * * * * [progress]: [ 64 / 406 ] simplifiying candidate # 48.402 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 48.402 * * [simplify]: iters left: 4 (6 enodes) 48.406 * * [simplify]: iters left: 3 (20 enodes) 48.412 * * [simplify]: iters left: 2 (22 enodes) 48.415 * * [simplify]: Extracting #0: cost 1 inf + 0 48.415 * * [simplify]: Extracting #1: cost 4 inf + 0 48.415 * * [simplify]: Extracting #2: cost 5 inf + 1 48.415 * * [simplify]: Extracting #3: cost 7 inf + 1 48.415 * * [simplify]: Extracting #4: cost 1 inf + 368 48.415 * * [simplify]: Extracting #5: cost 0 inf + 490 48.415 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 48.415 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (* (* (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 48.416 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 48.416 * * [simplify]: iters left: 4 (6 enodes) 48.418 * * [simplify]: iters left: 3 (20 enodes) 48.421 * * [simplify]: iters left: 2 (22 enodes) 48.424 * * [simplify]: Extracting #0: cost 1 inf + 0 48.424 * * [simplify]: Extracting #1: cost 4 inf + 0 48.424 * * [simplify]: Extracting #2: cost 5 inf + 1 48.424 * * [simplify]: Extracting #3: cost 7 inf + 1 48.424 * * [simplify]: Extracting #4: cost 1 inf + 368 48.424 * * [simplify]: Extracting #5: cost 0 inf + 490 48.424 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 48.424 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (* (* (* (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 48.424 * * * * [progress]: [ 65 / 406 ] simplifiying candidate # 48.424 * [simplify]: Simplifying (/ (sqrt 1) 1) 48.424 * * [simplify]: iters left: 3 (3 enodes) 48.426 * * [simplify]: iters left: 2 (9 enodes) 48.428 * * [simplify]: iters left: 1 (11 enodes) 48.429 * * [simplify]: Extracting #0: cost 1 inf + 0 48.429 * * [simplify]: Extracting #1: cost 0 inf + 1 48.429 * [simplify]: Simplified to 1 48.430 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (* (* (* 1 (/ (sqrt 1) (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 48.430 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k)) 48.430 * * [simplify]: iters left: 3 (5 enodes) 48.432 * * [simplify]: iters left: 2 (17 enodes) 48.435 * * [simplify]: iters left: 1 (19 enodes) 48.437 * * [simplify]: Extracting #0: cost 1 inf + 0 48.437 * * [simplify]: Extracting #1: cost 4 inf + 0 48.437 * * [simplify]: Extracting #2: cost 5 inf + 1 48.437 * * [simplify]: Extracting #3: cost 0 inf + 248 48.438 * [simplify]: Simplified to (/ 1 (sqrt k)) 48.438 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (* (* (* 1 (/ 1 (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 48.438 * * * * [progress]: [ 66 / 406 ] simplifiying candidate # 48.438 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 48.438 * * [simplify]: iters left: 6 (6 enodes) 48.439 * * [simplify]: iters left: 5 (22 enodes) 48.443 * * [simplify]: iters left: 4 (26 enodes) 48.447 * * [simplify]: Extracting #0: cost 1 inf + 0 48.447 * * [simplify]: Extracting #1: cost 6 inf + 0 48.447 * * [simplify]: Extracting #2: cost 9 inf + 1 48.447 * * [simplify]: Extracting #3: cost 11 inf + 1 48.447 * * [simplify]: Extracting #4: cost 8 inf + 84 48.447 * * [simplify]: Extracting #5: cost 2 inf + 1013 48.447 * * [simplify]: Extracting #6: cost 0 inf + 1376 48.448 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 48.448 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (* (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 48.448 * [simplify]: Simplifying (/ 1 (cbrt (sqrt k))) 48.448 * * [simplify]: iters left: 4 (5 enodes) 48.449 * * [simplify]: iters left: 3 (17 enodes) 48.452 * * [simplify]: iters left: 2 (19 enodes) 48.455 * * [simplify]: Extracting #0: cost 1 inf + 0 48.455 * * [simplify]: Extracting #1: cost 4 inf + 0 48.455 * * [simplify]: Extracting #2: cost 5 inf + 1 48.455 * * [simplify]: Extracting #3: cost 7 inf + 1 48.455 * * [simplify]: Extracting #4: cost 0 inf + 650 48.455 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 48.455 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (* (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 48.455 * * * * [progress]: [ 67 / 406 ] simplifiying candidate # 48.455 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt k) (cbrt k)))) 48.455 * * [simplify]: iters left: 6 (6 enodes) 48.457 * * [simplify]: iters left: 5 (21 enodes) 48.468 * * [simplify]: iters left: 4 (23 enodes) 48.475 * * [simplify]: Extracting #0: cost 1 inf + 0 48.475 * * [simplify]: Extracting #1: cost 4 inf + 0 48.475 * * [simplify]: Extracting #2: cost 6 inf + 1 48.475 * * [simplify]: Extracting #3: cost 9 inf + 1 48.475 * * [simplify]: Extracting #4: cost 8 inf + 2 48.475 * * [simplify]: Extracting #5: cost 1 inf + 810 48.476 * * [simplify]: Extracting #6: cost 0 inf + 972 48.476 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 48.476 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (* (* (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 48.476 * [simplify]: Simplifying (/ 1 (sqrt (cbrt k))) 48.477 * * [simplify]: iters left: 4 (5 enodes) 48.479 * * [simplify]: iters left: 3 (17 enodes) 48.485 * * [simplify]: iters left: 2 (19 enodes) 48.491 * * [simplify]: Extracting #0: cost 1 inf + 0 48.491 * * [simplify]: Extracting #1: cost 4 inf + 0 48.491 * * [simplify]: Extracting #2: cost 5 inf + 1 48.491 * * [simplify]: Extracting #3: cost 7 inf + 1 48.491 * * [simplify]: Extracting #4: cost 0 inf + 730 48.491 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 48.491 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (* (* (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 48.491 * * * * [progress]: [ 68 / 406 ] simplifiying candidate # 48.492 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 48.492 * * [simplify]: iters left: 4 (5 enodes) 48.494 * * [simplify]: iters left: 3 (17 enodes) 48.500 * * [simplify]: iters left: 2 (19 enodes) 48.506 * * [simplify]: Extracting #0: cost 1 inf + 0 48.506 * * [simplify]: Extracting #1: cost 4 inf + 0 48.506 * * [simplify]: Extracting #2: cost 5 inf + 1 48.506 * * [simplify]: Extracting #3: cost 7 inf + 1 48.506 * * [simplify]: Extracting #4: cost 0 inf + 490 48.506 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 48.506 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (* (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 48.507 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 48.507 * * [simplify]: iters left: 4 (5 enodes) 48.510 * * [simplify]: iters left: 3 (17 enodes) 48.516 * * [simplify]: iters left: 2 (19 enodes) 48.521 * * [simplify]: Extracting #0: cost 1 inf + 0 48.521 * * [simplify]: Extracting #1: cost 4 inf + 0 48.521 * * [simplify]: Extracting #2: cost 5 inf + 1 48.521 * * [simplify]: Extracting #3: cost 7 inf + 1 48.522 * * [simplify]: Extracting #4: cost 0 inf + 490 48.522 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 48.522 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (* (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 48.522 * * * * [progress]: [ 69 / 406 ] simplifiying candidate # 48.522 * [simplify]: Simplifying (/ 1 (sqrt 1)) 48.523 * * [simplify]: iters left: 3 (3 enodes) 48.528 * * [simplify]: iters left: 2 (11 enodes) 48.531 * * [simplify]: iters left: 1 (13 enodes) 48.534 * * [simplify]: Extracting #0: cost 1 inf + 0 48.534 * * [simplify]: Extracting #1: cost 0 inf + 1 48.535 * [simplify]: Simplified to 1 48.535 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (* (* (* 1 (/ 1 (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 48.535 * [simplify]: Simplifying (/ 1 (sqrt k)) 48.535 * * [simplify]: iters left: 3 (4 enodes) 48.537 * * [simplify]: iters left: 2 (14 enodes) 48.542 * * [simplify]: iters left: 1 (16 enodes) 48.546 * * [simplify]: Extracting #0: cost 1 inf + 0 48.546 * * [simplify]: Extracting #1: cost 4 inf + 0 48.547 * * [simplify]: Extracting #2: cost 5 inf + 1 48.547 * * [simplify]: Extracting #3: cost 3 inf + 43 48.547 * * [simplify]: Extracting #4: cost 1 inf + 166 48.547 * * [simplify]: Extracting #5: cost 0 inf + 248 48.547 * [simplify]: Simplified to (/ 1 (sqrt k)) 48.547 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (* (* (* 1 (/ 1 (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 48.547 * * * * [progress]: [ 70 / 406 ] simplifiying candidate # 48.547 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 48.548 * * [simplify]: iters left: 4 (5 enodes) 48.550 * * [simplify]: iters left: 3 (17 enodes) 48.556 * * [simplify]: iters left: 2 (19 enodes) 48.561 * * [simplify]: Extracting #0: cost 1 inf + 0 48.561 * * [simplify]: Extracting #1: cost 4 inf + 0 48.561 * * [simplify]: Extracting #2: cost 5 inf + 1 48.561 * * [simplify]: Extracting #3: cost 7 inf + 1 48.561 * * [simplify]: Extracting #4: cost 0 inf + 490 48.562 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 48.562 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (* (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 48.562 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 48.562 * * [simplify]: iters left: 4 (5 enodes) 48.565 * * [simplify]: iters left: 3 (17 enodes) 48.570 * * [simplify]: iters left: 2 (19 enodes) 48.576 * * [simplify]: Extracting #0: cost 1 inf + 0 48.576 * * [simplify]: Extracting #1: cost 4 inf + 0 48.576 * * [simplify]: Extracting #2: cost 5 inf + 1 48.576 * * [simplify]: Extracting #3: cost 7 inf + 1 48.576 * * [simplify]: Extracting #4: cost 0 inf + 490 48.577 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 48.577 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (* (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 48.577 * * * * [progress]: [ 71 / 406 ] simplifiying candidate # 48.577 * [simplify]: Simplifying (/ 1 1) 48.577 * * [simplify]: iters left: 2 (2 enodes) 48.579 * * [simplify]: iters left: 1 (6 enodes) 48.581 * * [simplify]: Extracting #0: cost 1 inf + 0 48.581 * * [simplify]: Extracting #1: cost 0 inf + 1 48.581 * [simplify]: Simplified to 1 48.581 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (* (* (* 1 (/ 1 (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 48.581 * [simplify]: Simplifying (/ 1 (sqrt k)) 48.581 * * [simplify]: iters left: 3 (4 enodes) 48.583 * * [simplify]: iters left: 2 (14 enodes) 48.588 * * [simplify]: iters left: 1 (16 enodes) 48.593 * * [simplify]: Extracting #0: cost 1 inf + 0 48.593 * * [simplify]: Extracting #1: cost 4 inf + 0 48.593 * * [simplify]: Extracting #2: cost 5 inf + 1 48.594 * * [simplify]: Extracting #3: cost 3 inf + 43 48.594 * * [simplify]: Extracting #4: cost 1 inf + 166 48.594 * * [simplify]: Extracting #5: cost 0 inf + 248 48.594 * [simplify]: Simplified to (/ 1 (sqrt k)) 48.594 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (* (* (* 1 (/ 1 (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 48.594 * * * * [progress]: [ 72 / 406 ] simplifiying candidate # 48.594 * * * * [progress]: [ 73 / 406 ] simplifiying candidate # 48.594 * * * * [progress]: [ 74 / 406 ] simplifiying candidate # 48.594 * * * * [progress]: [ 75 / 406 ] simplifiying candidate # 48.595 * [simplify]: Simplifying (cbrt (sqrt k)) 48.595 * * [simplify]: iters left: 2 (3 enodes) 48.596 * * [simplify]: iters left: 1 (9 enodes) 48.597 * * [simplify]: Extracting #0: cost 1 inf + 0 48.597 * * [simplify]: Extracting #1: cost 3 inf + 0 48.597 * * [simplify]: Extracting #2: cost 5 inf + 0 48.597 * * [simplify]: Extracting #3: cost 4 inf + 1 48.598 * * [simplify]: Extracting #4: cost 0 inf + 325 48.598 * [simplify]: Simplified to (cbrt (sqrt k)) 48.598 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (* (* (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 48.598 * * * * [progress]: [ 76 / 406 ] simplifiying candidate # 48.598 * [simplify]: Simplifying (sqrt (cbrt k)) 48.598 * * [simplify]: iters left: 2 (3 enodes) 48.599 * * [simplify]: iters left: 1 (9 enodes) 48.600 * * [simplify]: Extracting #0: cost 1 inf + 0 48.600 * * [simplify]: Extracting #1: cost 3 inf + 0 48.600 * * [simplify]: Extracting #2: cost 5 inf + 0 48.600 * * [simplify]: Extracting #3: cost 4 inf + 1 48.600 * * [simplify]: Extracting #4: cost 0 inf + 405 48.600 * [simplify]: Simplified to (sqrt (cbrt k)) 48.600 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (* (* (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 48.600 * * * * [progress]: [ 77 / 406 ] simplifiying candidate # 48.600 * [simplify]: Simplifying (sqrt (sqrt k)) 48.600 * * [simplify]: iters left: 2 (3 enodes) 48.601 * * [simplify]: iters left: 1 (9 enodes) 48.602 * * [simplify]: Extracting #0: cost 1 inf + 0 48.602 * * [simplify]: Extracting #1: cost 3 inf + 0 48.602 * * [simplify]: Extracting #2: cost 5 inf + 0 48.602 * * [simplify]: Extracting #3: cost 4 inf + 1 48.602 * * [simplify]: Extracting #4: cost 0 inf + 245 48.602 * [simplify]: Simplified to (sqrt (sqrt k)) 48.602 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (* (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 48.603 * * * * [progress]: [ 78 / 406 ] simplifiying candidate # 48.603 * [simplify]: Simplifying (sqrt k) 48.603 * * [simplify]: iters left: 1 (2 enodes) 48.603 * * [simplify]: Extracting #0: cost 1 inf + 0 48.603 * * [simplify]: Extracting #1: cost 3 inf + 0 48.603 * * [simplify]: Extracting #2: cost 2 inf + 1 48.603 * * [simplify]: Extracting #3: cost 0 inf + 83 48.603 * [simplify]: Simplified to (sqrt k) 48.603 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (* (* (/ (/ 1 (sqrt 1)) (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 48.603 * * * * [progress]: [ 79 / 406 ] simplifiying candidate # 48.604 * [simplify]: Simplifying (sqrt (sqrt k)) 48.604 * * [simplify]: iters left: 2 (3 enodes) 48.604 * * [simplify]: iters left: 1 (9 enodes) 48.605 * * [simplify]: Extracting #0: cost 1 inf + 0 48.605 * * [simplify]: Extracting #1: cost 3 inf + 0 48.605 * * [simplify]: Extracting #2: cost 5 inf + 0 48.605 * * [simplify]: Extracting #3: cost 4 inf + 1 48.606 * * [simplify]: Extracting #4: cost 0 inf + 245 48.606 * [simplify]: Simplified to (sqrt (sqrt k)) 48.606 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (* (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 48.606 * * * * [progress]: [ 80 / 406 ] simplifiying candidate # 48.606 * [simplify]: Simplifying (sqrt k) 48.606 * * [simplify]: iters left: 1 (2 enodes) 48.606 * * [simplify]: Extracting #0: cost 1 inf + 0 48.606 * * [simplify]: Extracting #1: cost 3 inf + 0 48.606 * * [simplify]: Extracting #2: cost 2 inf + 1 48.606 * * [simplify]: Extracting #3: cost 0 inf + 83 48.606 * [simplify]: Simplified to (sqrt k) 48.606 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (* (* (/ (/ 1 1) (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 48.607 * * * * [progress]: [ 81 / 406 ] simplifiying candidate # 48.607 * [simplify]: Simplifying (* (cbrt 1) (cbrt 1)) 48.607 * * [simplify]: iters left: 3 (3 enodes) 48.611 * * [simplify]: iters left: 2 (11 enodes) 48.613 * * [simplify]: iters left: 1 (13 enodes) 48.614 * * [simplify]: Extracting #0: cost 1 inf + 0 48.614 * * [simplify]: Extracting #1: cost 0 inf + 1 48.614 * [simplify]: Simplified to 1 48.614 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (* (* (/ 1 (/ (sqrt k) (cbrt 1))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 48.615 * * * * [progress]: [ 82 / 406 ] simplifiying candidate # 48.615 * [simplify]: Simplifying (sqrt 1) 48.615 * * [simplify]: iters left: 1 (2 enodes) 48.619 * * [simplify]: Extracting #0: cost 1 inf + 0 48.619 * * [simplify]: Extracting #1: cost 0 inf + 1 48.619 * [simplify]: Simplified to 1 48.619 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (* (* (/ 1 (/ (sqrt k) (sqrt 1))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 48.619 * * * * [progress]: [ 83 / 406 ] simplifiying candidate # 48.619 * * * * [progress]: [ 84 / 406 ] simplifiying candidate #real (real->posit16 (/ 1 (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2))))> 48.619 * * * * [progress]: [ 85 / 406 ] simplifiying candidate # 48.619 * * * * [progress]: [ 86 / 406 ] simplifiying candidate # 48.620 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 48.620 * * [simplify]: iters left: 6 (20 enodes) 48.626 * * [simplify]: iters left: 5 (85 enodes) 48.652 * * [simplify]: iters left: 4 (155 enodes) 48.688 * * [simplify]: iters left: 3 (350 enodes) 48.811 * * [simplify]: Extracting #0: cost 1 inf + 0 48.811 * * [simplify]: Extracting #1: cost 57 inf + 0 48.811 * * [simplify]: Extracting #2: cost 228 inf + 0 48.812 * * [simplify]: Extracting #3: cost 285 inf + 186 48.814 * * [simplify]: Extracting #4: cost 243 inf + 10566 48.821 * * [simplify]: Extracting #5: cost 110 inf + 46906 48.837 * * [simplify]: Extracting #6: cost 22 inf + 87387 48.872 * * [simplify]: Extracting #7: cost 0 inf + 99069 48.903 * * [simplify]: Extracting #8: cost 0 inf + 98985 48.925 * [simplify]: Simplified to (+ (* (/ (- 1 k) 2) (log n)) (+ (* (/ (- 1 k) 4) (+ (log 2) (log PI))) (- (* (/ (- 1 k) 4) (+ (log 2) (log PI))) (log (sqrt k))))) 48.925 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 2) (log n)) (+ (* (/ (- 1 k) 4) (+ (log 2) (log PI))) (- (* (/ (- 1 k) 4) (+ (log 2) (log PI))) (log (sqrt k))))))) 48.925 * * * * [progress]: [ 87 / 406 ] simplifiying candidate # 48.925 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 48.926 * * [simplify]: iters left: 6 (20 enodes) 48.932 * * [simplify]: iters left: 5 (85 enodes) 48.946 * * [simplify]: iters left: 4 (155 enodes) 48.989 * * [simplify]: iters left: 3 (350 enodes) 49.143 * * [simplify]: Extracting #0: cost 1 inf + 0 49.143 * * [simplify]: Extracting #1: cost 57 inf + 0 49.144 * * [simplify]: Extracting #2: cost 228 inf + 0 49.146 * * [simplify]: Extracting #3: cost 285 inf + 186 49.150 * * [simplify]: Extracting #4: cost 243 inf + 10566 49.163 * * [simplify]: Extracting #5: cost 110 inf + 46906 49.179 * * [simplify]: Extracting #6: cost 22 inf + 87387 49.207 * * [simplify]: Extracting #7: cost 0 inf + 99069 49.235 * * [simplify]: Extracting #8: cost 0 inf + 98985 49.260 * [simplify]: Simplified to (+ (* (/ (- 1 k) 2) (log n)) (+ (* (/ (- 1 k) 4) (+ (log 2) (log PI))) (- (* (/ (- 1 k) 4) (+ (log 2) (log PI))) (log (sqrt k))))) 49.261 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 2) (log n)) (+ (* (/ (- 1 k) 4) (+ (log 2) (log PI))) (- (* (/ (- 1 k) 4) (+ (log 2) (log PI))) (log (sqrt k))))))) 49.261 * * * * [progress]: [ 88 / 406 ] simplifiying candidate # 49.261 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 49.261 * * [simplify]: iters left: 6 (20 enodes) 49.272 * * [simplify]: iters left: 5 (86 enodes) 49.301 * * [simplify]: iters left: 4 (158 enodes) 49.369 * * [simplify]: iters left: 3 (397 enodes) 49.573 * * [simplify]: Extracting #0: cost 1 inf + 0 49.574 * * [simplify]: Extracting #1: cost 70 inf + 0 49.575 * * [simplify]: Extracting #2: cost 307 inf + 0 49.578 * * [simplify]: Extracting #3: cost 389 inf + 185 49.588 * * [simplify]: Extracting #4: cost 291 inf + 29615 49.634 * * [simplify]: Extracting #5: cost 56 inf + 122006 49.685 * * [simplify]: Extracting #6: cost 1 inf + 143842 49.721 * * [simplify]: Extracting #7: cost 0 inf + 144007 49.754 * [simplify]: Simplified to (- (+ (* (/ (- 1 k) 4) (+ (+ (log 2) (log PI)) (log n))) (* (/ (- 1 k) 4) (+ (+ (log 2) (log PI)) (log n)))) (log (sqrt k))) 49.754 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (/ (- 1 k) 4) (+ (+ (log 2) (log PI)) (log n))) (* (/ (- 1 k) 4) (+ (+ (log 2) (log PI)) (log n)))) (log (sqrt k))))) 49.754 * * * * [progress]: [ 89 / 406 ] simplifiying candidate # 49.755 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 49.755 * * [simplify]: iters left: 6 (23 enodes) 49.770 * * [simplify]: iters left: 5 (94 enodes) 49.790 * * [simplify]: iters left: 4 (181 enodes) 49.832 * * [simplify]: iters left: 3 (382 enodes) 49.957 * * [simplify]: Extracting #0: cost 1 inf + 0 49.957 * * [simplify]: Extracting #1: cost 60 inf + 0 49.958 * * [simplify]: Extracting #2: cost 253 inf + 0 49.959 * * [simplify]: Extracting #3: cost 311 inf + 185 49.961 * * [simplify]: Extracting #4: cost 260 inf + 12600 49.971 * * [simplify]: Extracting #5: cost 96 inf + 57751 49.989 * * [simplify]: Extracting #6: cost 12 inf + 100427 50.026 * * [simplify]: Extracting #7: cost 0 inf + 106864 50.070 * * [simplify]: Extracting #8: cost 0 inf + 106724 50.104 * [simplify]: Simplified to (+ (/ (- (log n) (* k (log n))) 2) (+ (- (* (/ (- 1 k) 4) (log (* PI 2))) (log (sqrt k))) (* (/ (- 1 k) 4) (log (* PI 2))))) 50.104 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (/ (- (log n) (* k (log n))) 2) (+ (- (* (/ (- 1 k) 4) (log (* PI 2))) (log (sqrt k))) (* (/ (- 1 k) 4) (log (* PI 2))))))) 50.104 * * * * [progress]: [ 90 / 406 ] simplifiying candidate # 50.104 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 50.104 * * [simplify]: iters left: 6 (23 enodes) 50.111 * * [simplify]: iters left: 5 (94 enodes) 50.133 * * [simplify]: iters left: 4 (181 enodes) 50.176 * * [simplify]: iters left: 3 (382 enodes) 50.296 * * [simplify]: Extracting #0: cost 1 inf + 0 50.296 * * [simplify]: Extracting #1: cost 60 inf + 0 50.297 * * [simplify]: Extracting #2: cost 253 inf + 0 50.298 * * [simplify]: Extracting #3: cost 311 inf + 185 50.300 * * [simplify]: Extracting #4: cost 260 inf + 12600 50.309 * * [simplify]: Extracting #5: cost 96 inf + 57751 50.343 * * [simplify]: Extracting #6: cost 12 inf + 100427 50.387 * * [simplify]: Extracting #7: cost 0 inf + 106864 50.407 * * [simplify]: Extracting #8: cost 0 inf + 106724 50.427 * [simplify]: Simplified to (+ (/ (- (log n) (* k (log n))) 2) (+ (- (* (/ (- 1 k) 4) (log (* PI 2))) (log (sqrt k))) (* (/ (- 1 k) 4) (log (* PI 2))))) 50.427 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (/ (- (log n) (* k (log n))) 2) (+ (- (* (/ (- 1 k) 4) (log (* PI 2))) (log (sqrt k))) (* (/ (- 1 k) 4) (log (* PI 2))))))) 50.428 * * * * [progress]: [ 91 / 406 ] simplifiying candidate # 50.428 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 50.428 * * [simplify]: iters left: 6 (23 enodes) 50.435 * * [simplify]: iters left: 5 (95 enodes) 50.453 * * [simplify]: iters left: 4 (177 enodes) 50.489 * * [simplify]: iters left: 3 (422 enodes) 50.665 * * [simplify]: Extracting #0: cost 1 inf + 0 50.665 * * [simplify]: Extracting #1: cost 66 inf + 0 50.666 * * [simplify]: Extracting #2: cost 300 inf + 0 50.667 * * [simplify]: Extracting #3: cost 384 inf + 73 50.670 * * [simplify]: Extracting #4: cost 309 inf + 16483 50.702 * * [simplify]: Extracting #5: cost 56 inf + 108644 50.749 * * [simplify]: Extracting #6: cost 0 inf + 135884 50.804 * * [simplify]: Extracting #7: cost 0 inf + 135686 50.852 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (+ (log (* PI 2)) (log n))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log (* PI 2)) (log n)))) 50.852 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (+ (log (* PI 2)) (log n))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log (* PI 2)) (log n)))))) 50.853 * * * * [progress]: [ 92 / 406 ] simplifiying candidate # 50.853 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 50.853 * * [simplify]: iters left: 6 (23 enodes) 50.860 * * [simplify]: iters left: 5 (94 enodes) 50.877 * * [simplify]: iters left: 4 (181 enodes) 50.940 * * [simplify]: iters left: 3 (382 enodes) 51.097 * * [simplify]: Extracting #0: cost 1 inf + 0 51.098 * * [simplify]: Extracting #1: cost 60 inf + 0 51.098 * * [simplify]: Extracting #2: cost 253 inf + 0 51.099 * * [simplify]: Extracting #3: cost 311 inf + 185 51.102 * * [simplify]: Extracting #4: cost 260 inf + 12600 51.111 * * [simplify]: Extracting #5: cost 96 inf + 57751 51.144 * * [simplify]: Extracting #6: cost 12 inf + 100427 51.183 * * [simplify]: Extracting #7: cost 0 inf + 106864 51.212 * * [simplify]: Extracting #8: cost 0 inf + 106724 51.232 * [simplify]: Simplified to (+ (/ (- (log n) (* k (log n))) 2) (+ (- (* (/ (- 1 k) 4) (log (* PI 2))) (log (sqrt k))) (* (/ (- 1 k) 4) (log (* PI 2))))) 51.232 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (/ (- (log n) (* k (log n))) 2) (+ (- (* (/ (- 1 k) 4) (log (* PI 2))) (log (sqrt k))) (* (/ (- 1 k) 4) (log (* PI 2))))))) 51.232 * * * * [progress]: [ 93 / 406 ] simplifiying candidate # 51.232 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 51.232 * * [simplify]: iters left: 6 (23 enodes) 51.241 * * [simplify]: iters left: 5 (94 enodes) 51.258 * * [simplify]: iters left: 4 (181 enodes) 51.327 * * [simplify]: iters left: 3 (382 enodes) 51.448 * * [simplify]: Extracting #0: cost 1 inf + 0 51.448 * * [simplify]: Extracting #1: cost 60 inf + 0 51.448 * * [simplify]: Extracting #2: cost 253 inf + 0 51.450 * * [simplify]: Extracting #3: cost 311 inf + 185 51.455 * * [simplify]: Extracting #4: cost 260 inf + 12600 51.473 * * [simplify]: Extracting #5: cost 96 inf + 57751 51.510 * * [simplify]: Extracting #6: cost 12 inf + 100427 51.537 * * [simplify]: Extracting #7: cost 0 inf + 106864 51.564 * * [simplify]: Extracting #8: cost 0 inf + 106724 51.603 * [simplify]: Simplified to (+ (/ (- (log n) (* k (log n))) 2) (+ (- (* (/ (- 1 k) 4) (log (* PI 2))) (log (sqrt k))) (* (/ (- 1 k) 4) (log (* PI 2))))) 51.603 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (/ (- (log n) (* k (log n))) 2) (+ (- (* (/ (- 1 k) 4) (log (* PI 2))) (log (sqrt k))) (* (/ (- 1 k) 4) (log (* PI 2))))))) 51.603 * * * * [progress]: [ 94 / 406 ] simplifiying candidate # 51.604 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 51.604 * * [simplify]: iters left: 6 (23 enodes) 51.617 * * [simplify]: iters left: 5 (95 enodes) 51.633 * * [simplify]: iters left: 4 (177 enodes) 51.688 * * [simplify]: iters left: 3 (422 enodes) 51.846 * * [simplify]: Extracting #0: cost 1 inf + 0 51.846 * * [simplify]: Extracting #1: cost 66 inf + 0 51.847 * * [simplify]: Extracting #2: cost 300 inf + 0 51.852 * * [simplify]: Extracting #3: cost 384 inf + 73 51.855 * * [simplify]: Extracting #4: cost 309 inf + 16483 51.888 * * [simplify]: Extracting #5: cost 56 inf + 108644 51.936 * * [simplify]: Extracting #6: cost 0 inf + 135884 51.975 * * [simplify]: Extracting #7: cost 0 inf + 135686 52.004 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (+ (log (* PI 2)) (log n))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log (* PI 2)) (log n)))) 52.004 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (+ (log (* PI 2)) (log n))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log (* PI 2)) (log n)))))) 52.004 * * * * [progress]: [ 95 / 406 ] simplifiying candidate # 52.004 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log n) (/ (- 1 k) 2))) 52.005 * * [simplify]: iters left: 6 (23 enodes) 52.018 * * [simplify]: iters left: 5 (100 enodes) 52.052 * * [simplify]: iters left: 4 (192 enodes) 52.140 * * [simplify]: iters left: 3 (459 enodes) 52.318 * * [simplify]: Extracting #0: cost 1 inf + 0 52.318 * * [simplify]: Extracting #1: cost 76 inf + 0 52.319 * * [simplify]: Extracting #2: cost 349 inf + 0 52.321 * * [simplify]: Extracting #3: cost 420 inf + 297 52.328 * * [simplify]: Extracting #4: cost 357 inf + 16194 52.348 * * [simplify]: Extracting #5: cost 129 inf + 94193 52.378 * * [simplify]: Extracting #6: cost 14 inf + 152782 52.438 * * [simplify]: Extracting #7: cost 0 inf + 159283 52.480 * * [simplify]: Extracting #8: cost 0 inf + 159243 52.527 * [simplify]: Simplified to (+ (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (log (* PI 2))) (- (/ (- (log n) (* k (log n))) 2) (log (sqrt k)))) 52.527 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (log (* PI 2))) (- (/ (- (log n) (* k (log n))) 2) (log (sqrt k)))))) 52.527 * * * * [progress]: [ 96 / 406 ] simplifiying candidate # 52.528 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log n) (/ (- 1 k) 2))) 52.528 * * [simplify]: iters left: 6 (23 enodes) 52.535 * * [simplify]: iters left: 5 (100 enodes) 52.552 * * [simplify]: iters left: 4 (192 enodes) 52.611 * * [simplify]: iters left: 3 (459 enodes) 52.804 * * [simplify]: Extracting #0: cost 1 inf + 0 52.804 * * [simplify]: Extracting #1: cost 76 inf + 0 52.805 * * [simplify]: Extracting #2: cost 349 inf + 0 52.807 * * [simplify]: Extracting #3: cost 420 inf + 297 52.810 * * [simplify]: Extracting #4: cost 357 inf + 16194 52.824 * * [simplify]: Extracting #5: cost 129 inf + 94193 52.877 * * [simplify]: Extracting #6: cost 14 inf + 152782 52.915 * * [simplify]: Extracting #7: cost 0 inf + 159283 52.948 * * [simplify]: Extracting #8: cost 0 inf + 159243 53.003 * [simplify]: Simplified to (+ (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (log (* PI 2))) (- (/ (- (log n) (* k (log n))) 2) (log (sqrt k)))) 53.003 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (log (* PI 2))) (- (/ (- (log n) (* k (log n))) 2) (log (sqrt k)))))) 53.004 * * * * [progress]: [ 97 / 406 ] simplifiying candidate # 53.004 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (log (pow n (/ (- 1 k) 2)))) 53.004 * * [simplify]: iters left: 6 (23 enodes) 53.017 * * [simplify]: iters left: 5 (101 enodes) 53.054 * * [simplify]: iters left: 4 (194 enodes) 53.119 * * [simplify]: iters left: 3 (491 enodes) 53.334 * * [simplify]: Extracting #0: cost 1 inf + 0 53.335 * * [simplify]: Extracting #1: cost 86 inf + 0 53.337 * * [simplify]: Extracting #2: cost 410 inf + 0 53.340 * * [simplify]: Extracting #3: cost 496 inf + 184 53.346 * * [simplify]: Extracting #4: cost 460 inf + 10283 53.369 * * [simplify]: Extracting #5: cost 211 inf + 102671 53.413 * * [simplify]: Extracting #6: cost 33 inf + 178479 53.483 * * [simplify]: Extracting #7: cost 0 inf + 193002 53.554 * * [simplify]: Extracting #8: cost 0 inf + 192679 53.611 * [simplify]: Simplified to (+ (* (/ (- 1 k) 4) (+ (log (* PI 2)) (log n))) (- (* (/ (- 1 k) 4) (+ (log (* PI 2)) (log n))) (log (sqrt k)))) 53.611 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 4) (+ (log (* PI 2)) (log n))) (- (* (/ (- 1 k) 4) (+ (log (* PI 2)) (log n))) (log (sqrt k)))))) 53.611 * * * * [progress]: [ 98 / 406 ] simplifiying candidate # 53.611 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 53.612 * * [simplify]: iters left: 6 (23 enodes) 53.618 * * [simplify]: iters left: 5 (91 enodes) 53.642 * * [simplify]: iters left: 4 (159 enodes) 53.676 * * [simplify]: iters left: 3 (343 enodes) 53.768 * * [simplify]: Extracting #0: cost 1 inf + 0 53.768 * * [simplify]: Extracting #1: cost 59 inf + 0 53.769 * * [simplify]: Extracting #2: cost 221 inf + 0 53.771 * * [simplify]: Extracting #3: cost 280 inf + 74 53.774 * * [simplify]: Extracting #4: cost 251 inf + 5688 53.784 * * [simplify]: Extracting #5: cost 135 inf + 30708 53.796 * * [simplify]: Extracting #6: cost 66 inf + 58871 53.812 * * [simplify]: Extracting #7: cost 10 inf + 87393 53.830 * * [simplify]: Extracting #8: cost 0 inf + 93322 53.867 * [simplify]: Simplified to (+ (/ (- (log n) (* k (log n))) 2) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))))) 53.867 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (/ (- (log n) (* k (log n))) 2) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))))))) 53.867 * * * * [progress]: [ 99 / 406 ] simplifiying candidate # 53.868 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 53.868 * * [simplify]: iters left: 6 (23 enodes) 53.881 * * [simplify]: iters left: 5 (91 enodes) 53.911 * * [simplify]: iters left: 4 (159 enodes) 53.968 * * [simplify]: iters left: 3 (343 enodes) 54.063 * * [simplify]: Extracting #0: cost 1 inf + 0 54.064 * * [simplify]: Extracting #1: cost 59 inf + 0 54.064 * * [simplify]: Extracting #2: cost 221 inf + 0 54.065 * * [simplify]: Extracting #3: cost 280 inf + 74 54.067 * * [simplify]: Extracting #4: cost 251 inf + 5688 54.072 * * [simplify]: Extracting #5: cost 135 inf + 30708 54.082 * * [simplify]: Extracting #6: cost 66 inf + 58871 54.098 * * [simplify]: Extracting #7: cost 10 inf + 87393 54.121 * * [simplify]: Extracting #8: cost 0 inf + 93322 54.146 * [simplify]: Simplified to (+ (/ (- (log n) (* k (log n))) 2) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))))) 54.146 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (/ (- (log n) (* k (log n))) 2) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))))))) 54.147 * * * * [progress]: [ 100 / 406 ] simplifiying candidate # 54.147 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 54.147 * * [simplify]: iters left: 6 (23 enodes) 54.153 * * [simplify]: iters left: 5 (92 enodes) 54.176 * * [simplify]: iters left: 4 (162 enodes) 54.240 * * [simplify]: iters left: 3 (388 enodes) 54.376 * * [simplify]: Extracting #0: cost 1 inf + 0 54.376 * * [simplify]: Extracting #1: cost 68 inf + 0 54.377 * * [simplify]: Extracting #2: cost 277 inf + 0 54.378 * * [simplify]: Extracting #3: cost 361 inf + 73 54.381 * * [simplify]: Extracting #4: cost 326 inf + 11300 54.399 * * [simplify]: Extracting #5: cost 159 inf + 64175 54.439 * * [simplify]: Extracting #6: cost 14 inf + 119842 54.487 * * [simplify]: Extracting #7: cost 0 inf + 125703 54.511 * * [simplify]: Extracting #8: cost 0 inf + 125623 54.552 * [simplify]: Simplified to (- (+ (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n)))) (log (sqrt k))) 54.552 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n)))) (log (sqrt k))))) 54.553 * * * * [progress]: [ 101 / 406 ] simplifiying candidate # 54.553 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 54.553 * * [simplify]: iters left: 6 (19 enodes) 54.564 * * [simplify]: iters left: 5 (85 enodes) 54.588 * * [simplify]: iters left: 4 (158 enodes) 54.628 * * [simplify]: iters left: 3 (317 enodes) 54.768 * * [simplify]: Extracting #0: cost 1 inf + 0 54.769 * * [simplify]: Extracting #1: cost 46 inf + 0 54.769 * * [simplify]: Extracting #2: cost 191 inf + 0 54.771 * * [simplify]: Extracting #3: cost 250 inf + 74 54.774 * * [simplify]: Extracting #4: cost 223 inf + 5576 54.785 * * [simplify]: Extracting #5: cost 85 inf + 38426 54.809 * * [simplify]: Extracting #6: cost 17 inf + 67812 54.824 * * [simplify]: Extracting #7: cost 0 inf + 77722 54.843 * * [simplify]: Extracting #8: cost 0 inf + 77682 54.872 * [simplify]: Simplified to (+ (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k)))) (/ (- (log n) (* k (log n))) 2)) 54.873 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k)))) (/ (- (log n) (* k (log n))) 2)))) 54.873 * * * * [progress]: [ 102 / 406 ] simplifiying candidate # 54.873 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 54.873 * * [simplify]: iters left: 6 (19 enodes) 54.884 * * [simplify]: iters left: 5 (85 enodes) 54.913 * * [simplify]: iters left: 4 (158 enodes) 54.972 * * [simplify]: iters left: 3 (317 enodes) 55.076 * * [simplify]: Extracting #0: cost 1 inf + 0 55.076 * * [simplify]: Extracting #1: cost 46 inf + 0 55.077 * * [simplify]: Extracting #2: cost 191 inf + 0 55.079 * * [simplify]: Extracting #3: cost 250 inf + 74 55.082 * * [simplify]: Extracting #4: cost 223 inf + 5576 55.097 * * [simplify]: Extracting #5: cost 85 inf + 38426 55.119 * * [simplify]: Extracting #6: cost 17 inf + 67812 55.135 * * [simplify]: Extracting #7: cost 0 inf + 77722 55.152 * * [simplify]: Extracting #8: cost 0 inf + 77682 55.181 * [simplify]: Simplified to (+ (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k)))) (/ (- (log n) (* k (log n))) 2)) 55.181 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k)))) (/ (- (log n) (* k (log n))) 2)))) 55.181 * * * * [progress]: [ 103 / 406 ] simplifiying candidate # 55.181 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 55.182 * * [simplify]: iters left: 6 (19 enodes) 55.189 * * [simplify]: iters left: 5 (86 enodes) 55.206 * * [simplify]: iters left: 4 (161 enodes) 55.261 * * [simplify]: iters left: 3 (364 enodes) 55.442 * * [simplify]: Extracting #0: cost 1 inf + 0 55.442 * * [simplify]: Extracting #1: cost 57 inf + 0 55.443 * * [simplify]: Extracting #2: cost 251 inf + 0 55.444 * * [simplify]: Extracting #3: cost 335 inf + 73 55.445 * * [simplify]: Extracting #4: cost 330 inf + 2846 55.451 * * [simplify]: Extracting #5: cost 188 inf + 40090 55.895 * * [simplify]: Extracting #6: cost 48 inf + 94855 55.935 * * [simplify]: Extracting #7: cost 0 inf + 113133 55.958 * * [simplify]: Extracting #8: cost 0 inf + 112363 55.978 * * [simplify]: Extracting #9: cost 0 inf + 112281 56.000 * [simplify]: Simplified to (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (- (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (log (sqrt k)))) 56.000 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (- (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (log (sqrt k)))))) 56.000 * * * * [progress]: [ 104 / 406 ] simplifiying candidate # 56.000 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 56.000 * * [simplify]: iters left: 6 (19 enodes) 56.006 * * [simplify]: iters left: 5 (85 enodes) 56.024 * * [simplify]: iters left: 4 (158 enodes) 56.075 * * [simplify]: iters left: 3 (317 enodes) 56.157 * * [simplify]: Extracting #0: cost 1 inf + 0 56.157 * * [simplify]: Extracting #1: cost 46 inf + 0 56.158 * * [simplify]: Extracting #2: cost 191 inf + 0 56.160 * * [simplify]: Extracting #3: cost 250 inf + 74 56.163 * * [simplify]: Extracting #4: cost 223 inf + 5576 56.175 * * [simplify]: Extracting #5: cost 85 inf + 38426 56.187 * * [simplify]: Extracting #6: cost 17 inf + 67812 56.202 * * [simplify]: Extracting #7: cost 0 inf + 77722 56.231 * * [simplify]: Extracting #8: cost 0 inf + 77682 56.260 * [simplify]: Simplified to (+ (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k)))) (/ (- (log n) (* k (log n))) 2)) 56.260 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k)))) (/ (- (log n) (* k (log n))) 2)))) 56.260 * * * * [progress]: [ 105 / 406 ] simplifiying candidate # 56.261 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 56.261 * * [simplify]: iters left: 6 (19 enodes) 56.271 * * [simplify]: iters left: 5 (85 enodes) 56.289 * * [simplify]: iters left: 4 (158 enodes) 56.318 * * [simplify]: iters left: 3 (317 enodes) 56.436 * * [simplify]: Extracting #0: cost 1 inf + 0 56.436 * * [simplify]: Extracting #1: cost 46 inf + 0 56.437 * * [simplify]: Extracting #2: cost 191 inf + 0 56.439 * * [simplify]: Extracting #3: cost 250 inf + 74 56.442 * * [simplify]: Extracting #4: cost 223 inf + 5576 56.453 * * [simplify]: Extracting #5: cost 85 inf + 38426 56.467 * * [simplify]: Extracting #6: cost 17 inf + 67812 56.481 * * [simplify]: Extracting #7: cost 0 inf + 77722 56.512 * * [simplify]: Extracting #8: cost 0 inf + 77682 56.529 * [simplify]: Simplified to (+ (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k)))) (/ (- (log n) (* k (log n))) 2)) 56.529 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k)))) (/ (- (log n) (* k (log n))) 2)))) 56.529 * * * * [progress]: [ 106 / 406 ] simplifiying candidate # 56.529 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 56.529 * * [simplify]: iters left: 6 (19 enodes) 56.535 * * [simplify]: iters left: 5 (86 enodes) 56.551 * * [simplify]: iters left: 4 (161 enodes) 56.600 * * [simplify]: iters left: 3 (364 enodes) 56.731 * * [simplify]: Extracting #0: cost 1 inf + 0 56.732 * * [simplify]: Extracting #1: cost 57 inf + 0 56.732 * * [simplify]: Extracting #2: cost 251 inf + 0 56.734 * * [simplify]: Extracting #3: cost 335 inf + 73 56.738 * * [simplify]: Extracting #4: cost 330 inf + 2846 56.750 * * [simplify]: Extracting #5: cost 188 inf + 40090 56.780 * * [simplify]: Extracting #6: cost 48 inf + 94855 56.823 * * [simplify]: Extracting #7: cost 0 inf + 113133 56.861 * * [simplify]: Extracting #8: cost 0 inf + 112363 56.881 * * [simplify]: Extracting #9: cost 0 inf + 112281 56.901 * [simplify]: Simplified to (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (- (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (log (sqrt k)))) 56.902 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (- (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (log (sqrt k)))))) 56.902 * * * * [progress]: [ 107 / 406 ] simplifiying candidate # 56.902 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log n) (/ (- 1 k) 2))) 56.902 * * [simplify]: iters left: 6 (21 enodes) 56.911 * * [simplify]: iters left: 5 (94 enodes) 56.946 * * [simplify]: iters left: 4 (191 enodes) 57.022 * * [simplify]: iters left: 3 (433 enodes) 57.183 * * [simplify]: Extracting #0: cost 1 inf + 0 57.183 * * [simplify]: Extracting #1: cost 61 inf + 0 57.184 * * [simplify]: Extracting #2: cost 290 inf + 0 57.186 * * [simplify]: Extracting #3: cost 377 inf + 185 57.194 * * [simplify]: Extracting #4: cost 282 inf + 24186 57.223 * * [simplify]: Extracting #5: cost 40 inf + 110916 57.257 * * [simplify]: Extracting #6: cost 0 inf + 128362 57.304 * * [simplify]: Extracting #7: cost 0 inf + 127801 57.353 * * [simplify]: Extracting #8: cost 0 inf + 127721 57.395 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))) (+ (* (log n) (/ (- 1 k) 2)) (* (/ (- 1 k) 4) (log (* 2 PI))))) 57.396 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))) (+ (* (log n) (/ (- 1 k) 2)) (* (/ (- 1 k) 4) (log (* 2 PI))))))) 57.396 * * * * [progress]: [ 108 / 406 ] simplifiying candidate # 57.396 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log n) (/ (- 1 k) 2))) 57.396 * * [simplify]: iters left: 6 (21 enodes) 57.403 * * [simplify]: iters left: 5 (94 enodes) 57.422 * * [simplify]: iters left: 4 (191 enodes) 57.503 * * [simplify]: iters left: 3 (433 enodes) 57.735 * * [simplify]: Extracting #0: cost 1 inf + 0 57.735 * * [simplify]: Extracting #1: cost 61 inf + 0 57.737 * * [simplify]: Extracting #2: cost 290 inf + 0 57.741 * * [simplify]: Extracting #3: cost 377 inf + 185 57.750 * * [simplify]: Extracting #4: cost 282 inf + 24186 57.790 * * [simplify]: Extracting #5: cost 40 inf + 110916 57.837 * * [simplify]: Extracting #6: cost 0 inf + 128362 57.861 * * [simplify]: Extracting #7: cost 0 inf + 127801 57.899 * * [simplify]: Extracting #8: cost 0 inf + 127721 57.930 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))) (+ (* (log n) (/ (- 1 k) 2)) (* (/ (- 1 k) 4) (log (* 2 PI))))) 57.930 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))) (+ (* (log n) (/ (- 1 k) 2)) (* (/ (- 1 k) 4) (log (* 2 PI))))))) 57.930 * * * * [progress]: [ 109 / 406 ] simplifiying candidate # 57.930 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (log (pow n (/ (- 1 k) 2)))) 57.930 * * [simplify]: iters left: 6 (21 enodes) 57.938 * * [simplify]: iters left: 5 (95 enodes) 57.955 * * [simplify]: iters left: 4 (193 enodes) 57.998 * * [simplify]: iters left: 3 (467 enodes) 58.200 * * [simplify]: Extracting #0: cost 1 inf + 0 58.200 * * [simplify]: Extracting #1: cost 72 inf + 0 58.202 * * [simplify]: Extracting #2: cost 352 inf + 0 58.205 * * [simplify]: Extracting #3: cost 454 inf + 73 58.213 * * [simplify]: Extracting #4: cost 374 inf + 21120 58.236 * * [simplify]: Extracting #5: cost 80 inf + 129887 58.267 * * [simplify]: Extracting #6: cost 0 inf + 163445 58.296 * * [simplify]: Extracting #7: cost 0 inf + 163164 58.325 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n)))) 58.325 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n)))))) 58.326 * * * * [progress]: [ 110 / 406 ] simplifiying candidate # 58.326 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 58.326 * * [simplify]: iters left: 6 (23 enodes) 58.339 * * [simplify]: iters left: 5 (91 enodes) 58.359 * * [simplify]: iters left: 4 (159 enodes) 58.390 * * [simplify]: iters left: 3 (343 enodes) 58.544 * * [simplify]: Extracting #0: cost 1 inf + 0 58.545 * * [simplify]: Extracting #1: cost 59 inf + 0 58.546 * * [simplify]: Extracting #2: cost 221 inf + 0 58.548 * * [simplify]: Extracting #3: cost 280 inf + 74 58.551 * * [simplify]: Extracting #4: cost 251 inf + 5688 58.562 * * [simplify]: Extracting #5: cost 135 inf + 30708 58.584 * * [simplify]: Extracting #6: cost 66 inf + 58871 58.612 * * [simplify]: Extracting #7: cost 10 inf + 87393 58.629 * * [simplify]: Extracting #8: cost 0 inf + 93322 58.661 * [simplify]: Simplified to (+ (/ (- (log n) (* k (log n))) 2) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))))) 58.661 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (/ (- (log n) (* k (log n))) 2) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))))))) 58.662 * * * * [progress]: [ 111 / 406 ] simplifiying candidate # 58.662 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 58.662 * * [simplify]: iters left: 6 (23 enodes) 58.669 * * [simplify]: iters left: 5 (91 enodes) 58.685 * * [simplify]: iters left: 4 (159 enodes) 58.741 * * [simplify]: iters left: 3 (343 enodes) 58.843 * * [simplify]: Extracting #0: cost 1 inf + 0 58.843 * * [simplify]: Extracting #1: cost 59 inf + 0 58.844 * * [simplify]: Extracting #2: cost 221 inf + 0 58.845 * * [simplify]: Extracting #3: cost 280 inf + 74 58.846 * * [simplify]: Extracting #4: cost 251 inf + 5688 58.851 * * [simplify]: Extracting #5: cost 135 inf + 30708 58.863 * * [simplify]: Extracting #6: cost 66 inf + 58871 58.892 * * [simplify]: Extracting #7: cost 10 inf + 87393 58.915 * * [simplify]: Extracting #8: cost 0 inf + 93322 58.932 * [simplify]: Simplified to (+ (/ (- (log n) (* k (log n))) 2) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))))) 58.932 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (/ (- (log n) (* k (log n))) 2) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))))))) 58.933 * * * * [progress]: [ 112 / 406 ] simplifiying candidate # 58.933 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 58.933 * * [simplify]: iters left: 6 (23 enodes) 58.940 * * [simplify]: iters left: 5 (92 enodes) 58.956 * * [simplify]: iters left: 4 (162 enodes) 59.013 * * [simplify]: iters left: 3 (388 enodes) 59.136 * * [simplify]: Extracting #0: cost 1 inf + 0 59.136 * * [simplify]: Extracting #1: cost 68 inf + 0 59.138 * * [simplify]: Extracting #2: cost 277 inf + 0 59.140 * * [simplify]: Extracting #3: cost 361 inf + 73 59.146 * * [simplify]: Extracting #4: cost 326 inf + 11300 59.162 * * [simplify]: Extracting #5: cost 159 inf + 64175 59.207 * * [simplify]: Extracting #6: cost 14 inf + 119842 59.252 * * [simplify]: Extracting #7: cost 0 inf + 125703 59.300 * * [simplify]: Extracting #8: cost 0 inf + 125623 59.347 * [simplify]: Simplified to (- (+ (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n)))) (log (sqrt k))) 59.347 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n)))) (log (sqrt k))))) 59.348 * * * * [progress]: [ 113 / 406 ] simplifiying candidate # 59.348 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 59.348 * * [simplify]: iters left: 6 (19 enodes) 59.360 * * [simplify]: iters left: 5 (85 enodes) 59.375 * * [simplify]: iters left: 4 (158 enodes) 59.411 * * [simplify]: iters left: 3 (317 enodes) 59.509 * * [simplify]: Extracting #0: cost 1 inf + 0 59.509 * * [simplify]: Extracting #1: cost 46 inf + 0 59.509 * * [simplify]: Extracting #2: cost 191 inf + 0 59.510 * * [simplify]: Extracting #3: cost 250 inf + 74 59.511 * * [simplify]: Extracting #4: cost 223 inf + 5576 59.522 * * [simplify]: Extracting #5: cost 85 inf + 38426 59.550 * * [simplify]: Extracting #6: cost 17 inf + 67812 59.574 * * [simplify]: Extracting #7: cost 0 inf + 77722 59.588 * * [simplify]: Extracting #8: cost 0 inf + 77682 59.606 * [simplify]: Simplified to (+ (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k)))) (/ (- (log n) (* k (log n))) 2)) 59.606 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k)))) (/ (- (log n) (* k (log n))) 2)))) 59.606 * * * * [progress]: [ 114 / 406 ] simplifiying candidate # 59.606 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 59.606 * * [simplify]: iters left: 6 (19 enodes) 59.615 * * [simplify]: iters left: 5 (85 enodes) 59.631 * * [simplify]: iters left: 4 (158 enodes) 59.682 * * [simplify]: iters left: 3 (317 enodes) 59.773 * * [simplify]: Extracting #0: cost 1 inf + 0 59.773 * * [simplify]: Extracting #1: cost 46 inf + 0 59.773 * * [simplify]: Extracting #2: cost 191 inf + 0 59.774 * * [simplify]: Extracting #3: cost 250 inf + 74 59.776 * * [simplify]: Extracting #4: cost 223 inf + 5576 59.782 * * [simplify]: Extracting #5: cost 85 inf + 38426 59.807 * * [simplify]: Extracting #6: cost 17 inf + 67812 59.825 * * [simplify]: Extracting #7: cost 0 inf + 77722 59.845 * * [simplify]: Extracting #8: cost 0 inf + 77682 59.873 * [simplify]: Simplified to (+ (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k)))) (/ (- (log n) (* k (log n))) 2)) 59.873 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k)))) (/ (- (log n) (* k (log n))) 2)))) 59.874 * * * * [progress]: [ 115 / 406 ] simplifiying candidate # 59.874 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 59.874 * * [simplify]: iters left: 6 (19 enodes) 59.885 * * [simplify]: iters left: 5 (86 enodes) 59.914 * * [simplify]: iters left: 4 (161 enodes) 59.973 * * [simplify]: iters left: 3 (364 enodes) 60.099 * * [simplify]: Extracting #0: cost 1 inf + 0 60.099 * * [simplify]: Extracting #1: cost 57 inf + 0 60.100 * * [simplify]: Extracting #2: cost 251 inf + 0 60.101 * * [simplify]: Extracting #3: cost 335 inf + 73 60.103 * * [simplify]: Extracting #4: cost 330 inf + 2846 60.109 * * [simplify]: Extracting #5: cost 188 inf + 40090 60.133 * * [simplify]: Extracting #6: cost 48 inf + 94855 60.172 * * [simplify]: Extracting #7: cost 0 inf + 113133 60.210 * * [simplify]: Extracting #8: cost 0 inf + 112363 60.230 * * [simplify]: Extracting #9: cost 0 inf + 112281 60.257 * [simplify]: Simplified to (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (- (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (log (sqrt k)))) 60.257 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (- (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (log (sqrt k)))))) 60.257 * * * * [progress]: [ 116 / 406 ] simplifiying candidate # 60.257 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 60.258 * * [simplify]: iters left: 6 (19 enodes) 60.269 * * [simplify]: iters left: 5 (85 enodes) 60.297 * * [simplify]: iters left: 4 (158 enodes) 60.328 * * [simplify]: iters left: 3 (317 enodes) 60.425 * * [simplify]: Extracting #0: cost 1 inf + 0 60.426 * * [simplify]: Extracting #1: cost 46 inf + 0 60.427 * * [simplify]: Extracting #2: cost 191 inf + 0 60.428 * * [simplify]: Extracting #3: cost 250 inf + 74 60.431 * * [simplify]: Extracting #4: cost 223 inf + 5576 60.442 * * [simplify]: Extracting #5: cost 85 inf + 38426 60.465 * * [simplify]: Extracting #6: cost 17 inf + 67812 60.496 * * [simplify]: Extracting #7: cost 0 inf + 77722 60.529 * * [simplify]: Extracting #8: cost 0 inf + 77682 60.558 * [simplify]: Simplified to (+ (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k)))) (/ (- (log n) (* k (log n))) 2)) 60.558 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k)))) (/ (- (log n) (* k (log n))) 2)))) 60.558 * * * * [progress]: [ 117 / 406 ] simplifiying candidate # 60.559 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 60.559 * * [simplify]: iters left: 6 (19 enodes) 60.571 * * [simplify]: iters left: 5 (85 enodes) 60.588 * * [simplify]: iters left: 4 (158 enodes) 60.619 * * [simplify]: iters left: 3 (317 enodes) 60.730 * * [simplify]: Extracting #0: cost 1 inf + 0 60.730 * * [simplify]: Extracting #1: cost 46 inf + 0 60.731 * * [simplify]: Extracting #2: cost 191 inf + 0 60.731 * * [simplify]: Extracting #3: cost 250 inf + 74 60.733 * * [simplify]: Extracting #4: cost 223 inf + 5576 60.741 * * [simplify]: Extracting #5: cost 85 inf + 38426 60.753 * * [simplify]: Extracting #6: cost 17 inf + 67812 60.768 * * [simplify]: Extracting #7: cost 0 inf + 77722 60.787 * * [simplify]: Extracting #8: cost 0 inf + 77682 60.817 * [simplify]: Simplified to (+ (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k)))) (/ (- (log n) (* k (log n))) 2)) 60.817 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k)))) (/ (- (log n) (* k (log n))) 2)))) 60.817 * * * * [progress]: [ 118 / 406 ] simplifiying candidate # 60.818 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 60.818 * * [simplify]: iters left: 6 (19 enodes) 60.830 * * [simplify]: iters left: 5 (86 enodes) 60.862 * * [simplify]: iters left: 4 (161 enodes) 60.903 * * [simplify]: iters left: 3 (364 enodes) 61.024 * * [simplify]: Extracting #0: cost 1 inf + 0 61.024 * * [simplify]: Extracting #1: cost 57 inf + 0 61.025 * * [simplify]: Extracting #2: cost 251 inf + 0 61.026 * * [simplify]: Extracting #3: cost 335 inf + 73 61.028 * * [simplify]: Extracting #4: cost 330 inf + 2846 61.034 * * [simplify]: Extracting #5: cost 188 inf + 40090 61.053 * * [simplify]: Extracting #6: cost 48 inf + 94855 61.089 * * [simplify]: Extracting #7: cost 0 inf + 113133 61.117 * * [simplify]: Extracting #8: cost 0 inf + 112363 61.140 * * [simplify]: Extracting #9: cost 0 inf + 112281 61.177 * [simplify]: Simplified to (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (- (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (log (sqrt k)))) 61.177 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (- (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (log (sqrt k)))))) 61.177 * * * * [progress]: [ 119 / 406 ] simplifiying candidate # 61.177 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log n) (/ (- 1 k) 2))) 61.178 * * [simplify]: iters left: 6 (21 enodes) 61.185 * * [simplify]: iters left: 5 (94 enodes) 61.205 * * [simplify]: iters left: 4 (191 enodes) 61.286 * * [simplify]: iters left: 3 (433 enodes) 61.442 * * [simplify]: Extracting #0: cost 1 inf + 0 61.442 * * [simplify]: Extracting #1: cost 61 inf + 0 61.443 * * [simplify]: Extracting #2: cost 290 inf + 0 61.444 * * [simplify]: Extracting #3: cost 377 inf + 185 61.454 * * [simplify]: Extracting #4: cost 282 inf + 24186 61.477 * * [simplify]: Extracting #5: cost 40 inf + 110916 61.509 * * [simplify]: Extracting #6: cost 0 inf + 128362 61.534 * * [simplify]: Extracting #7: cost 0 inf + 127801 61.569 * * [simplify]: Extracting #8: cost 0 inf + 127721 61.601 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))) (+ (* (log n) (/ (- 1 k) 2)) (* (/ (- 1 k) 4) (log (* 2 PI))))) 61.601 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))) (+ (* (log n) (/ (- 1 k) 2)) (* (/ (- 1 k) 4) (log (* 2 PI))))))) 61.601 * * * * [progress]: [ 120 / 406 ] simplifiying candidate # 61.602 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log n) (/ (- 1 k) 2))) 61.602 * * [simplify]: iters left: 6 (21 enodes) 61.617 * * [simplify]: iters left: 5 (94 enodes) 61.650 * * [simplify]: iters left: 4 (191 enodes) 61.702 * * [simplify]: iters left: 3 (433 enodes) 61.934 * * [simplify]: Extracting #0: cost 1 inf + 0 61.935 * * [simplify]: Extracting #1: cost 61 inf + 0 61.936 * * [simplify]: Extracting #2: cost 290 inf + 0 61.939 * * [simplify]: Extracting #3: cost 377 inf + 185 61.947 * * [simplify]: Extracting #4: cost 282 inf + 24186 61.981 * * [simplify]: Extracting #5: cost 40 inf + 110916 62.029 * * [simplify]: Extracting #6: cost 0 inf + 128362 62.081 * * [simplify]: Extracting #7: cost 0 inf + 127801 62.113 * * [simplify]: Extracting #8: cost 0 inf + 127721 62.144 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))) (+ (* (log n) (/ (- 1 k) 2)) (* (/ (- 1 k) 4) (log (* 2 PI))))) 62.144 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))) (+ (* (log n) (/ (- 1 k) 2)) (* (/ (- 1 k) 4) (log (* 2 PI))))))) 62.145 * * * * [progress]: [ 121 / 406 ] simplifiying candidate # 62.145 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (log (pow n (/ (- 1 k) 2)))) 62.145 * * [simplify]: iters left: 6 (21 enodes) 62.157 * * [simplify]: iters left: 5 (95 enodes) 62.187 * * [simplify]: iters left: 4 (193 enodes) 62.231 * * [simplify]: iters left: 3 (467 enodes) 62.414 * * [simplify]: Extracting #0: cost 1 inf + 0 62.414 * * [simplify]: Extracting #1: cost 72 inf + 0 62.416 * * [simplify]: Extracting #2: cost 352 inf + 0 62.420 * * [simplify]: Extracting #3: cost 454 inf + 73 62.428 * * [simplify]: Extracting #4: cost 374 inf + 21120 62.468 * * [simplify]: Extracting #5: cost 80 inf + 129887 62.501 * * [simplify]: Extracting #6: cost 0 inf + 163445 62.531 * * [simplify]: Extracting #7: cost 0 inf + 163164 62.591 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n)))) 62.592 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n)))))) 62.592 * * * * [progress]: [ 122 / 406 ] simplifiying candidate # 62.592 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 62.592 * * [simplify]: iters left: 6 (23 enodes) 62.605 * * [simplify]: iters left: 5 (100 enodes) 62.640 * * [simplify]: iters left: 4 (189 enodes) 62.711 * * [simplify]: iters left: 3 (448 enodes) 62.906 * * [simplify]: Extracting #0: cost 1 inf + 0 62.906 * * [simplify]: Extracting #1: cost 75 inf + 0 62.908 * * [simplify]: Extracting #2: cost 320 inf + 0 62.911 * * [simplify]: Extracting #3: cost 390 inf + 74 62.917 * * [simplify]: Extracting #4: cost 335 inf + 10953 62.946 * * [simplify]: Extracting #5: cost 97 inf + 97928 63.000 * * [simplify]: Extracting #6: cost 4 inf + 144771 63.044 * * [simplify]: Extracting #7: cost 0 inf + 146450 63.088 * * [simplify]: Extracting #8: cost 0 inf + 146447 63.119 * [simplify]: Simplified to (- (/ (- 1 k) (/ 4 (log (* 2 PI)))) (- (- (log (sqrt k)) (* (log n) (/ (- 1 k) 2))) (/ (- 1 k) (/ 4 (log (* 2 PI)))))) 63.119 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- 1 k) (/ 4 (log (* 2 PI)))) (- (- (log (sqrt k)) (* (log n) (/ (- 1 k) 2))) (/ (- 1 k) (/ 4 (log (* 2 PI)))))))) 63.120 * * * * [progress]: [ 123 / 406 ] simplifiying candidate # 63.120 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 63.120 * * [simplify]: iters left: 6 (23 enodes) 63.133 * * [simplify]: iters left: 5 (100 enodes) 63.154 * * [simplify]: iters left: 4 (189 enodes) 63.203 * * [simplify]: iters left: 3 (448 enodes) 63.362 * * [simplify]: Extracting #0: cost 1 inf + 0 63.362 * * [simplify]: Extracting #1: cost 75 inf + 0 63.364 * * [simplify]: Extracting #2: cost 320 inf + 0 63.367 * * [simplify]: Extracting #3: cost 390 inf + 74 63.372 * * [simplify]: Extracting #4: cost 335 inf + 10953 63.408 * * [simplify]: Extracting #5: cost 97 inf + 97928 63.462 * * [simplify]: Extracting #6: cost 4 inf + 144771 63.498 * * [simplify]: Extracting #7: cost 0 inf + 146450 63.528 * * [simplify]: Extracting #8: cost 0 inf + 146447 63.575 * [simplify]: Simplified to (- (/ (- 1 k) (/ 4 (log (* 2 PI)))) (- (- (log (sqrt k)) (* (log n) (/ (- 1 k) 2))) (/ (- 1 k) (/ 4 (log (* 2 PI)))))) 63.575 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- 1 k) (/ 4 (log (* 2 PI)))) (- (- (log (sqrt k)) (* (log n) (/ (- 1 k) 2))) (/ (- 1 k) (/ 4 (log (* 2 PI)))))))) 63.575 * * * * [progress]: [ 124 / 406 ] simplifiying candidate # 63.575 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 63.576 * * [simplify]: iters left: 6 (23 enodes) 63.588 * * [simplify]: iters left: 5 (101 enodes) 63.610 * * [simplify]: iters left: 4 (191 enodes) 63.683 * * [simplify]: iters left: 3 (479 enodes) 63.898 * * [simplify]: Extracting #0: cost 1 inf + 0 63.898 * * [simplify]: Extracting #1: cost 84 inf + 0 63.899 * * [simplify]: Extracting #2: cost 403 inf + 0 63.901 * * [simplify]: Extracting #3: cost 484 inf + 184 63.904 * * [simplify]: Extracting #4: cost 416 inf + 17880 63.929 * * [simplify]: Extracting #5: cost 101 inf + 154186 63.970 * * [simplify]: Extracting #6: cost 0 inf + 195361 64.039 * * [simplify]: Extracting #7: cost 0 inf + 192719 64.108 * * [simplify]: Extracting #8: cost 0 inf + 192718 64.149 * [simplify]: Simplified to (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (- (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (log (sqrt k)))) 64.149 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (- (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (log (sqrt k)))))) 64.149 * * * * [progress]: [ 125 / 406 ] simplifiying candidate # 64.149 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 64.150 * * [simplify]: iters left: 6 (21 enodes) 64.162 * * [simplify]: iters left: 5 (94 enodes) 64.198 * * [simplify]: iters left: 4 (187 enodes) 64.267 * * [simplify]: iters left: 3 (417 enodes) 64.420 * * [simplify]: Extracting #0: cost 1 inf + 0 64.420 * * [simplify]: Extracting #1: cost 60 inf + 0 64.422 * * [simplify]: Extracting #2: cost 269 inf + 0 64.424 * * [simplify]: Extracting #3: cost 354 inf + 75 64.428 * * [simplify]: Extracting #4: cost 335 inf + 4231 64.436 * * [simplify]: Extracting #5: cost 224 inf + 25440 64.461 * * [simplify]: Extracting #6: cost 75 inf + 82476 64.504 * * [simplify]: Extracting #7: cost 7 inf + 119876 64.547 * * [simplify]: Extracting #8: cost 0 inf + 124129 64.576 * [simplify]: Simplified to (- (+ (/ (log (* 2 PI)) (/ 4 (- 1 k))) (/ (log (* 2 PI)) (/ 4 (- 1 k)))) (- (log (sqrt k)) (/ (- 1 k) (/ 2 (log n))))) 64.576 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (/ (log (* 2 PI)) (/ 4 (- 1 k))) (/ (log (* 2 PI)) (/ 4 (- 1 k)))) (- (log (sqrt k)) (/ (- 1 k) (/ 2 (log n))))))) 64.577 * * * * [progress]: [ 126 / 406 ] simplifiying candidate # 64.577 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 64.577 * * [simplify]: iters left: 6 (21 enodes) 64.590 * * [simplify]: iters left: 5 (94 enodes) 64.622 * * [simplify]: iters left: 4 (187 enodes) 64.694 * * [simplify]: iters left: 3 (417 enodes) 64.824 * * [simplify]: Extracting #0: cost 1 inf + 0 64.824 * * [simplify]: Extracting #1: cost 60 inf + 0 64.831 * * [simplify]: Extracting #2: cost 269 inf + 0 64.833 * * [simplify]: Extracting #3: cost 354 inf + 75 64.837 * * [simplify]: Extracting #4: cost 335 inf + 4231 64.846 * * [simplify]: Extracting #5: cost 224 inf + 25440 64.866 * * [simplify]: Extracting #6: cost 75 inf + 82476 64.888 * * [simplify]: Extracting #7: cost 7 inf + 119876 64.934 * * [simplify]: Extracting #8: cost 0 inf + 124129 64.981 * [simplify]: Simplified to (- (+ (/ (log (* 2 PI)) (/ 4 (- 1 k))) (/ (log (* 2 PI)) (/ 4 (- 1 k)))) (- (log (sqrt k)) (/ (- 1 k) (/ 2 (log n))))) 64.981 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (/ (log (* 2 PI)) (/ 4 (- 1 k))) (/ (log (* 2 PI)) (/ 4 (- 1 k)))) (- (log (sqrt k)) (/ (- 1 k) (/ 2 (log n))))))) 64.982 * * * * [progress]: [ 127 / 406 ] simplifiying candidate # 64.982 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 64.982 * * [simplify]: iters left: 6 (21 enodes) 64.994 * * [simplify]: iters left: 5 (95 enodes) 65.026 * * [simplify]: iters left: 4 (189 enodes) 65.069 * * [simplify]: iters left: 3 (448 enodes) 65.260 * * [simplify]: Extracting #0: cost 1 inf + 0 65.260 * * [simplify]: Extracting #1: cost 73 inf + 0 65.267 * * [simplify]: Extracting #2: cost 336 inf + 0 65.270 * * [simplify]: Extracting #3: cost 431 inf + 74 65.274 * * [simplify]: Extracting #4: cost 413 inf + 4628 65.282 * * [simplify]: Extracting #5: cost 270 inf + 40490 65.304 * * [simplify]: Extracting #6: cost 50 inf + 136983 65.334 * * [simplify]: Extracting #7: cost 0 inf + 164484 65.394 * [simplify]: Simplified to (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (- (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (log (sqrt k)))) 65.394 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (- (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (log (sqrt k)))))) 65.394 * * * * [progress]: [ 128 / 406 ] simplifiying candidate # 65.395 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 65.395 * * [simplify]: iters left: 6 (21 enodes) 65.407 * * [simplify]: iters left: 5 (94 enodes) 65.430 * * [simplify]: iters left: 4 (187 enodes) 65.485 * * [simplify]: iters left: 3 (417 enodes) 65.687 * * [simplify]: Extracting #0: cost 1 inf + 0 65.687 * * [simplify]: Extracting #1: cost 60 inf + 0 65.688 * * [simplify]: Extracting #2: cost 269 inf + 0 65.691 * * [simplify]: Extracting #3: cost 354 inf + 75 65.695 * * [simplify]: Extracting #4: cost 335 inf + 4231 65.703 * * [simplify]: Extracting #5: cost 224 inf + 25440 65.734 * * [simplify]: Extracting #6: cost 75 inf + 82476 65.776 * * [simplify]: Extracting #7: cost 7 inf + 119876 65.806 * * [simplify]: Extracting #8: cost 0 inf + 124129 65.844 * [simplify]: Simplified to (- (+ (/ (log (* 2 PI)) (/ 4 (- 1 k))) (/ (log (* 2 PI)) (/ 4 (- 1 k)))) (- (log (sqrt k)) (/ (- 1 k) (/ 2 (log n))))) 65.844 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (/ (log (* 2 PI)) (/ 4 (- 1 k))) (/ (log (* 2 PI)) (/ 4 (- 1 k)))) (- (log (sqrt k)) (/ (- 1 k) (/ 2 (log n))))))) 65.844 * * * * [progress]: [ 129 / 406 ] simplifiying candidate # 65.844 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 65.844 * * [simplify]: iters left: 6 (21 enodes) 65.850 * * [simplify]: iters left: 5 (94 enodes) 65.868 * * [simplify]: iters left: 4 (187 enodes) 65.940 * * [simplify]: iters left: 3 (417 enodes) 66.104 * * [simplify]: Extracting #0: cost 1 inf + 0 66.104 * * [simplify]: Extracting #1: cost 60 inf + 0 66.105 * * [simplify]: Extracting #2: cost 269 inf + 0 66.108 * * [simplify]: Extracting #3: cost 354 inf + 75 66.111 * * [simplify]: Extracting #4: cost 335 inf + 4231 66.120 * * [simplify]: Extracting #5: cost 224 inf + 25440 66.145 * * [simplify]: Extracting #6: cost 75 inf + 82476 66.178 * * [simplify]: Extracting #7: cost 7 inf + 119876 66.213 * * [simplify]: Extracting #8: cost 0 inf + 124129 66.259 * [simplify]: Simplified to (- (+ (/ (log (* 2 PI)) (/ 4 (- 1 k))) (/ (log (* 2 PI)) (/ 4 (- 1 k)))) (- (log (sqrt k)) (/ (- 1 k) (/ 2 (log n))))) 66.259 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (/ (log (* 2 PI)) (/ 4 (- 1 k))) (/ (log (* 2 PI)) (/ 4 (- 1 k)))) (- (log (sqrt k)) (/ (- 1 k) (/ 2 (log n))))))) 66.259 * * * * [progress]: [ 130 / 406 ] simplifiying candidate # 66.259 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 66.259 * * [simplify]: iters left: 6 (21 enodes) 66.270 * * [simplify]: iters left: 5 (95 enodes) 66.299 * * [simplify]: iters left: 4 (189 enodes) 66.367 * * [simplify]: iters left: 3 (448 enodes) 66.552 * * [simplify]: Extracting #0: cost 1 inf + 0 66.552 * * [simplify]: Extracting #1: cost 73 inf + 0 66.554 * * [simplify]: Extracting #2: cost 336 inf + 0 66.557 * * [simplify]: Extracting #3: cost 431 inf + 74 66.562 * * [simplify]: Extracting #4: cost 413 inf + 4628 66.574 * * [simplify]: Extracting #5: cost 270 inf + 40490 66.616 * * [simplify]: Extracting #6: cost 50 inf + 136983 66.678 * * [simplify]: Extracting #7: cost 0 inf + 164484 66.738 * [simplify]: Simplified to (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (- (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (log (sqrt k)))) 66.738 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (- (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (log (sqrt k)))))) 66.738 * * * * [progress]: [ 131 / 406 ] simplifiying candidate # 66.738 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log n) (/ (- 1 k) 2))) 66.739 * * [simplify]: iters left: 6 (19 enodes) 66.749 * * [simplify]: iters left: 5 (84 enodes) 66.770 * * [simplify]: iters left: 4 (161 enodes) 66.805 * * [simplify]: iters left: 3 (338 enodes) 66.933 * * [simplify]: Extracting #0: cost 1 inf + 0 66.933 * * [simplify]: Extracting #1: cost 43 inf + 0 66.933 * * [simplify]: Extracting #2: cost 215 inf + 0 66.934 * * [simplify]: Extracting #3: cost 303 inf + 74 66.936 * * [simplify]: Extracting #4: cost 291 inf + 4692 66.942 * * [simplify]: Extracting #5: cost 149 inf + 33176 66.961 * * [simplify]: Extracting #6: cost 13 inf + 92300 66.980 * * [simplify]: Extracting #7: cost 0 inf + 99161 67.005 * * [simplify]: Extracting #8: cost 0 inf + 99160 67.041 * [simplify]: Simplified to (+ (+ (/ (- 1 k) (/ 4 (log (* 2 PI)))) (- (/ (- 1 k) (/ 4 (log (* 2 PI)))) (log (sqrt k)))) (/ (log n) (/ 2 (- 1 k)))) 67.041 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (/ (- 1 k) (/ 4 (log (* 2 PI)))) (- (/ (- 1 k) (/ 4 (log (* 2 PI)))) (log (sqrt k)))) (/ (log n) (/ 2 (- 1 k)))))) 67.041 * * * * [progress]: [ 132 / 406 ] simplifiying candidate # 67.041 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log n) (/ (- 1 k) 2))) 67.042 * * [simplify]: iters left: 6 (19 enodes) 67.051 * * [simplify]: iters left: 5 (84 enodes) 67.083 * * [simplify]: iters left: 4 (161 enodes) 67.142 * * [simplify]: iters left: 3 (338 enodes) 67.282 * * [simplify]: Extracting #0: cost 1 inf + 0 67.283 * * [simplify]: Extracting #1: cost 43 inf + 0 67.284 * * [simplify]: Extracting #2: cost 215 inf + 0 67.286 * * [simplify]: Extracting #3: cost 303 inf + 74 67.289 * * [simplify]: Extracting #4: cost 291 inf + 4692 67.294 * * [simplify]: Extracting #5: cost 149 inf + 33176 67.312 * * [simplify]: Extracting #6: cost 13 inf + 92300 67.344 * * [simplify]: Extracting #7: cost 0 inf + 99161 67.379 * * [simplify]: Extracting #8: cost 0 inf + 99160 67.400 * [simplify]: Simplified to (+ (+ (/ (- 1 k) (/ 4 (log (* 2 PI)))) (- (/ (- 1 k) (/ 4 (log (* 2 PI)))) (log (sqrt k)))) (/ (log n) (/ 2 (- 1 k)))) 67.400 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (/ (- 1 k) (/ 4 (log (* 2 PI)))) (- (/ (- 1 k) (/ 4 (log (* 2 PI)))) (log (sqrt k)))) (/ (log n) (/ 2 (- 1 k)))))) 67.400 * * * * [progress]: [ 133 / 406 ] simplifiying candidate # 67.400 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (log (pow n (/ (- 1 k) 2)))) 67.400 * * [simplify]: iters left: 6 (19 enodes) 67.406 * * [simplify]: iters left: 5 (85 enodes) 67.426 * * [simplify]: iters left: 4 (163 enodes) 67.473 * * [simplify]: iters left: 3 (368 enodes) 67.600 * * [simplify]: Extracting #0: cost 1 inf + 0 67.600 * * [simplify]: Extracting #1: cost 54 inf + 0 67.601 * * [simplify]: Extracting #2: cost 266 inf + 0 67.602 * * [simplify]: Extracting #3: cost 368 inf + 73 67.605 * * [simplify]: Extracting #4: cost 303 inf + 17611 67.623 * * [simplify]: Extracting #5: cost 66 inf + 103899 67.672 * * [simplify]: Extracting #6: cost 2 inf + 128089 67.705 * * [simplify]: Extracting #7: cost 0 inf + 127228 67.734 * * [simplify]: Extracting #8: cost 0 inf + 127188 67.779 * [simplify]: Simplified to (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (- (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (log (sqrt k)))) 67.779 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (- (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (log (sqrt k)))))) 67.779 * * * * [progress]: [ 134 / 406 ] simplifiying candidate # 67.779 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 67.779 * * [simplify]: iters left: 6 (21 enodes) 67.786 * * [simplify]: iters left: 5 (91 enodes) 67.803 * * [simplify]: iters left: 4 (180 enodes) 67.895 * * [simplify]: iters left: 3 (499 enodes) 68.202 * * [simplify]: Extracting #0: cost 1 inf + 0 68.202 * * [simplify]: Extracting #1: cost 67 inf + 0 68.203 * * [simplify]: Extracting #2: cost 353 inf + 1 68.209 * * [simplify]: Extracting #3: cost 448 inf + 298 68.215 * * [simplify]: Extracting #4: cost 319 inf + 37343 68.258 * * [simplify]: Extracting #5: cost 26 inf + 147531 68.308 * * [simplify]: Extracting #6: cost 0 inf + 159360 68.359 * * [simplify]: Extracting #7: cost 0 inf + 159359 68.417 * [simplify]: Simplified to (+ (- (/ (log n) (/ 2 (- 1 k))) (log (sqrt k))) (+ (* (+ (log PI) (log 2)) (/ (- 1 k) 4)) (* (+ (log PI) (log 2)) (/ (- 1 k) 4)))) 68.417 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (/ (log n) (/ 2 (- 1 k))) (log (sqrt k))) (+ (* (+ (log PI) (log 2)) (/ (- 1 k) 4)) (* (+ (log PI) (log 2)) (/ (- 1 k) 4)))))) 68.417 * * * * [progress]: [ 135 / 406 ] simplifiying candidate # 68.418 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 68.418 * * [simplify]: iters left: 6 (21 enodes) 68.430 * * [simplify]: iters left: 5 (91 enodes) 68.449 * * [simplify]: iters left: 4 (180 enodes) 68.509 * * [simplify]: iters left: 3 (499 enodes) 68.793 * * [simplify]: Extracting #0: cost 1 inf + 0 68.793 * * [simplify]: Extracting #1: cost 67 inf + 0 68.794 * * [simplify]: Extracting #2: cost 353 inf + 1 68.796 * * [simplify]: Extracting #3: cost 448 inf + 298 68.801 * * [simplify]: Extracting #4: cost 319 inf + 37343 68.831 * * [simplify]: Extracting #5: cost 26 inf + 147531 68.867 * * [simplify]: Extracting #6: cost 0 inf + 159360 68.933 * * [simplify]: Extracting #7: cost 0 inf + 159359 69.000 * [simplify]: Simplified to (+ (- (/ (log n) (/ 2 (- 1 k))) (log (sqrt k))) (+ (* (+ (log PI) (log 2)) (/ (- 1 k) 4)) (* (+ (log PI) (log 2)) (/ (- 1 k) 4)))) 69.000 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (/ (log n) (/ 2 (- 1 k))) (log (sqrt k))) (+ (* (+ (log PI) (log 2)) (/ (- 1 k) 4)) (* (+ (log PI) (log 2)) (/ (- 1 k) 4)))))) 69.001 * * * * [progress]: [ 136 / 406 ] simplifiying candidate # 69.001 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 69.001 * * [simplify]: iters left: 6 (21 enodes) 69.014 * * [simplify]: iters left: 5 (92 enodes) 69.045 * * [simplify]: iters left: 4 (183 enodes) 69.104 * * [simplify]: Extracting #0: cost 1 inf + 0 69.104 * * [simplify]: Extracting #1: cost 26 inf + 0 69.104 * * [simplify]: Extracting #2: cost 116 inf + 1 69.105 * * [simplify]: Extracting #3: cost 169 inf + 74 69.105 * * [simplify]: Extracting #4: cost 161 inf + 1153 69.108 * * [simplify]: Extracting #5: cost 90 inf + 18511 69.118 * * [simplify]: Extracting #6: cost 24 inf + 43969 69.135 * * [simplify]: Extracting #7: cost 0 inf + 55586 69.151 * * [simplify]: Extracting #8: cost 0 inf + 55505 69.164 * [simplify]: Simplified to (+ (+ (- (* (+ (log PI) (log 2)) (- 1/4 (/ k 4))) (- (log (sqrt k)) (* (+ (log PI) (log 2)) (- 1/4 (/ k 4))))) (* (- 1/4 (/ k 4)) (log n))) (* (- 1/4 (/ k 4)) (log n))) 69.164 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (- (* (+ (log PI) (log 2)) (- 1/4 (/ k 4))) (- (log (sqrt k)) (* (+ (log PI) (log 2)) (- 1/4 (/ k 4))))) (* (- 1/4 (/ k 4)) (log n))) (* (- 1/4 (/ k 4)) (log n))))) 69.164 * * * * [progress]: [ 137 / 406 ] simplifiying candidate # 69.164 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 69.165 * * [simplify]: iters left: 6 (24 enodes) 69.174 * * [simplify]: iters left: 5 (97 enodes) 69.195 * * [simplify]: iters left: 4 (193 enodes) 69.295 * * [simplify]: Extracting #0: cost 1 inf + 0 69.295 * * [simplify]: Extracting #1: cost 23 inf + 0 69.296 * * [simplify]: Extracting #2: cost 103 inf + 1 69.296 * * [simplify]: Extracting #3: cost 148 inf + 74 69.297 * * [simplify]: Extracting #4: cost 142 inf + 679 69.300 * * [simplify]: Extracting #5: cost 84 inf + 9594 69.312 * * [simplify]: Extracting #6: cost 12 inf + 38335 69.322 * * [simplify]: Extracting #7: cost 0 inf + 43191 69.331 * * [simplify]: Extracting #8: cost 0 inf + 42771 69.340 * [simplify]: Simplified to (+ (* (log (* PI 2)) (- 1/4 (/ k 4))) (+ (* (log (* PI 2)) (- 1/4 (/ k 4))) (- (* (/ (log n) 2) (- 1 k)) (log (sqrt k))))) 69.340 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (log (* PI 2)) (- 1/4 (/ k 4))) (+ (* (log (* PI 2)) (- 1/4 (/ k 4))) (- (* (/ (log n) 2) (- 1 k)) (log (sqrt k))))))) 69.340 * * * * [progress]: [ 138 / 406 ] simplifiying candidate # 69.340 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 69.340 * * [simplify]: iters left: 6 (24 enodes) 69.348 * * [simplify]: iters left: 5 (97 enodes) 69.378 * * [simplify]: iters left: 4 (193 enodes) 69.455 * * [simplify]: Extracting #0: cost 1 inf + 0 69.456 * * [simplify]: Extracting #1: cost 23 inf + 0 69.456 * * [simplify]: Extracting #2: cost 103 inf + 1 69.457 * * [simplify]: Extracting #3: cost 148 inf + 74 69.458 * * [simplify]: Extracting #4: cost 142 inf + 679 69.461 * * [simplify]: Extracting #5: cost 84 inf + 9594 69.473 * * [simplify]: Extracting #6: cost 12 inf + 38335 69.491 * * [simplify]: Extracting #7: cost 0 inf + 43191 69.511 * * [simplify]: Extracting #8: cost 0 inf + 42771 69.524 * [simplify]: Simplified to (+ (* (log (* PI 2)) (- 1/4 (/ k 4))) (+ (* (log (* PI 2)) (- 1/4 (/ k 4))) (- (* (/ (log n) 2) (- 1 k)) (log (sqrt k))))) 69.524 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (log (* PI 2)) (- 1/4 (/ k 4))) (+ (* (log (* PI 2)) (- 1/4 (/ k 4))) (- (* (/ (log n) 2) (- 1 k)) (log (sqrt k))))))) 69.524 * * * * [progress]: [ 139 / 406 ] simplifiying candidate # 69.524 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 69.524 * * [simplify]: iters left: 6 (24 enodes) 69.531 * * [simplify]: iters left: 5 (98 enodes) 69.549 * * [simplify]: iters left: 4 (196 enodes) 69.620 * * [simplify]: Extracting #0: cost 1 inf + 0 69.620 * * [simplify]: Extracting #1: cost 26 inf + 0 69.620 * * [simplify]: Extracting #2: cost 116 inf + 1 69.621 * * [simplify]: Extracting #3: cost 170 inf + 74 69.622 * * [simplify]: Extracting #4: cost 163 inf + 953 69.625 * * [simplify]: Extracting #5: cost 124 inf + 8911 69.632 * * [simplify]: Extracting #6: cost 68 inf + 23130 69.647 * * [simplify]: Extracting #7: cost 6 inf + 49261 69.656 * * [simplify]: Extracting #8: cost 0 inf + 50216 69.665 * * [simplify]: Extracting #9: cost 0 inf + 50175 69.675 * [simplify]: Simplified to (+ (+ (+ (* (log (* PI 2)) (- 1/4 (/ k 4))) (- (* (log (* PI 2)) (- 1/4 (/ k 4))) (log (sqrt k)))) (* (- 1/4 (/ k 4)) (log n))) (* (- 1/4 (/ k 4)) (log n))) 69.675 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (+ (* (log (* PI 2)) (- 1/4 (/ k 4))) (- (* (log (* PI 2)) (- 1/4 (/ k 4))) (log (sqrt k)))) (* (- 1/4 (/ k 4)) (log n))) (* (- 1/4 (/ k 4)) (log n))))) 69.675 * * * * [progress]: [ 140 / 406 ] simplifiying candidate # 69.675 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 69.675 * * [simplify]: iters left: 6 (24 enodes) 69.683 * * [simplify]: iters left: 5 (97 enodes) 69.720 * * [simplify]: iters left: 4 (193 enodes) 69.787 * * [simplify]: Extracting #0: cost 1 inf + 0 69.788 * * [simplify]: Extracting #1: cost 23 inf + 0 69.788 * * [simplify]: Extracting #2: cost 103 inf + 1 69.789 * * [simplify]: Extracting #3: cost 148 inf + 74 69.790 * * [simplify]: Extracting #4: cost 142 inf + 679 69.793 * * [simplify]: Extracting #5: cost 84 inf + 9594 69.808 * * [simplify]: Extracting #6: cost 12 inf + 38335 69.816 * * [simplify]: Extracting #7: cost 0 inf + 43191 69.825 * * [simplify]: Extracting #8: cost 0 inf + 42771 69.833 * [simplify]: Simplified to (+ (* (log (* PI 2)) (- 1/4 (/ k 4))) (+ (* (log (* PI 2)) (- 1/4 (/ k 4))) (- (* (/ (log n) 2) (- 1 k)) (log (sqrt k))))) 69.833 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (log (* PI 2)) (- 1/4 (/ k 4))) (+ (* (log (* PI 2)) (- 1/4 (/ k 4))) (- (* (/ (log n) 2) (- 1 k)) (log (sqrt k))))))) 69.833 * * * * [progress]: [ 141 / 406 ] simplifiying candidate # 69.833 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 69.833 * * [simplify]: iters left: 6 (24 enodes) 69.844 * * [simplify]: iters left: 5 (97 enodes) 69.864 * * [simplify]: iters left: 4 (193 enodes) 69.924 * * [simplify]: Extracting #0: cost 1 inf + 0 69.924 * * [simplify]: Extracting #1: cost 23 inf + 0 69.925 * * [simplify]: Extracting #2: cost 103 inf + 1 69.925 * * [simplify]: Extracting #3: cost 148 inf + 74 69.926 * * [simplify]: Extracting #4: cost 142 inf + 679 69.927 * * [simplify]: Extracting #5: cost 84 inf + 9594 69.939 * * [simplify]: Extracting #6: cost 12 inf + 38335 69.956 * * [simplify]: Extracting #7: cost 0 inf + 43191 69.973 * * [simplify]: Extracting #8: cost 0 inf + 42771 69.989 * [simplify]: Simplified to (+ (* (log (* PI 2)) (- 1/4 (/ k 4))) (+ (* (log (* PI 2)) (- 1/4 (/ k 4))) (- (* (/ (log n) 2) (- 1 k)) (log (sqrt k))))) 69.990 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (log (* PI 2)) (- 1/4 (/ k 4))) (+ (* (log (* PI 2)) (- 1/4 (/ k 4))) (- (* (/ (log n) 2) (- 1 k)) (log (sqrt k))))))) 69.990 * * * * [progress]: [ 142 / 406 ] simplifiying candidate # 69.990 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 69.990 * * [simplify]: iters left: 6 (24 enodes) 70.007 * * [simplify]: iters left: 5 (98 enodes) 70.043 * * [simplify]: iters left: 4 (196 enodes) 70.119 * * [simplify]: Extracting #0: cost 1 inf + 0 70.120 * * [simplify]: Extracting #1: cost 26 inf + 0 70.120 * * [simplify]: Extracting #2: cost 116 inf + 1 70.120 * * [simplify]: Extracting #3: cost 170 inf + 74 70.121 * * [simplify]: Extracting #4: cost 163 inf + 953 70.123 * * [simplify]: Extracting #5: cost 124 inf + 8911 70.126 * * [simplify]: Extracting #6: cost 68 inf + 23130 70.134 * * [simplify]: Extracting #7: cost 6 inf + 49261 70.150 * * [simplify]: Extracting #8: cost 0 inf + 50216 70.169 * * [simplify]: Extracting #9: cost 0 inf + 50175 70.188 * [simplify]: Simplified to (+ (+ (+ (* (log (* PI 2)) (- 1/4 (/ k 4))) (- (* (log (* PI 2)) (- 1/4 (/ k 4))) (log (sqrt k)))) (* (- 1/4 (/ k 4)) (log n))) (* (- 1/4 (/ k 4)) (log n))) 70.188 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (+ (* (log (* PI 2)) (- 1/4 (/ k 4))) (- (* (log (* PI 2)) (- 1/4 (/ k 4))) (log (sqrt k)))) (* (- 1/4 (/ k 4)) (log n))) (* (- 1/4 (/ k 4)) (log n))))) 70.188 * * * * [progress]: [ 143 / 406 ] simplifiying candidate # 70.188 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log n) (/ (- 1 k) 2))) 70.189 * * [simplify]: iters left: 6 (24 enodes) 70.202 * * [simplify]: iters left: 5 (106 enodes) 70.232 * * [simplify]: iters left: 4 (218 enodes) 70.335 * * [simplify]: Extracting #0: cost 1 inf + 0 70.335 * * [simplify]: Extracting #1: cost 29 inf + 0 70.335 * * [simplify]: Extracting #2: cost 125 inf + 1 70.336 * * [simplify]: Extracting #3: cost 179 inf + 74 70.339 * * [simplify]: Extracting #4: cost 173 inf + 1137 70.341 * * [simplify]: Extracting #5: cost 132 inf + 10457 70.349 * * [simplify]: Extracting #6: cost 19 inf + 48785 70.361 * * [simplify]: Extracting #7: cost 0 inf + 55931 70.381 * * [simplify]: Extracting #8: cost 0 inf + 54781 70.398 * [simplify]: Simplified to (+ (* (/ (log n) 2) (- 1 k)) (+ (* (log (* PI 2)) (/ (- 1 k) 4)) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k))))) 70.398 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (log n) 2) (- 1 k)) (+ (* (log (* PI 2)) (/ (- 1 k) 4)) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k))))))) 70.399 * * * * [progress]: [ 144 / 406 ] simplifiying candidate # 70.399 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log n) (/ (- 1 k) 2))) 70.399 * * [simplify]: iters left: 6 (24 enodes) 70.406 * * [simplify]: iters left: 5 (106 enodes) 70.428 * * [simplify]: iters left: 4 (218 enodes) 70.552 * * [simplify]: Extracting #0: cost 1 inf + 0 70.553 * * [simplify]: Extracting #1: cost 29 inf + 0 70.553 * * [simplify]: Extracting #2: cost 125 inf + 1 70.554 * * [simplify]: Extracting #3: cost 179 inf + 74 70.556 * * [simplify]: Extracting #4: cost 173 inf + 1137 70.559 * * [simplify]: Extracting #5: cost 132 inf + 10457 70.575 * * [simplify]: Extracting #6: cost 19 inf + 48785 70.594 * * [simplify]: Extracting #7: cost 0 inf + 55931 70.604 * * [simplify]: Extracting #8: cost 0 inf + 54781 70.613 * [simplify]: Simplified to (+ (* (/ (log n) 2) (- 1 k)) (+ (* (log (* PI 2)) (/ (- 1 k) 4)) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k))))) 70.613 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (log n) 2) (- 1 k)) (+ (* (log (* PI 2)) (/ (- 1 k) 4)) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k))))))) 70.613 * * * * [progress]: [ 145 / 406 ] simplifiying candidate # 70.614 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (log (pow n (/ (- 1 k) 2)))) 70.614 * * [simplify]: iters left: 6 (24 enodes) 70.621 * * [simplify]: iters left: 5 (107 enodes) 70.655 * * [simplify]: iters left: 4 (220 enodes) 70.750 * * [simplify]: Extracting #0: cost 1 inf + 0 70.750 * * [simplify]: Extracting #1: cost 29 inf + 0 70.750 * * [simplify]: Extracting #2: cost 134 inf + 1 70.751 * * [simplify]: Extracting #3: cost 193 inf + 74 70.752 * * [simplify]: Extracting #4: cost 163 inf + 6474 70.758 * * [simplify]: Extracting #5: cost 65 inf + 33751 70.768 * * [simplify]: Extracting #6: cost 3 inf + 60142 70.791 * * [simplify]: Extracting #7: cost 0 inf + 60449 70.813 * * [simplify]: Extracting #8: cost 0 inf + 60379 70.827 * [simplify]: Simplified to (+ (+ (- (* (log n) (/ (- 1 k) 2)) (log (sqrt k))) (* (log (* PI 2)) (/ (- 1 k) 4))) (* (log (* PI 2)) (/ (- 1 k) 4))) 70.827 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (- (* (log n) (/ (- 1 k) 2)) (log (sqrt k))) (* (log (* PI 2)) (/ (- 1 k) 4))) (* (log (* PI 2)) (/ (- 1 k) 4))))) 70.827 * * * * [progress]: [ 146 / 406 ] simplifiying candidate # 70.827 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 70.827 * * [simplify]: iters left: 6 (24 enodes) 70.835 * * [simplify]: iters left: 5 (97 enodes) 70.854 * * [simplify]: iters left: 4 (182 enodes) 70.910 * * [simplify]: iters left: 3 (477 enodes) 71.146 * * [simplify]: Extracting #0: cost 1 inf + 0 71.146 * * [simplify]: Extracting #1: cost 59 inf + 0 71.147 * * [simplify]: Extracting #2: cost 300 inf + 1 71.149 * * [simplify]: Extracting #3: cost 406 inf + 186 71.158 * * [simplify]: Extracting #4: cost 309 inf + 25282 71.204 * * [simplify]: Extracting #5: cost 37 inf + 117525 71.255 * * [simplify]: Extracting #6: cost 0 inf + 135713 71.283 * [simplify]: Simplified to (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (log n) (/ (- 1 k) 2)) (log (sqrt k))))) 71.283 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (log n) (/ (- 1 k) 2)) (log (sqrt k))))))) 71.283 * * * * [progress]: [ 147 / 406 ] simplifiying candidate # 71.284 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 71.284 * * [simplify]: iters left: 6 (24 enodes) 71.293 * * [simplify]: iters left: 5 (97 enodes) 71.314 * * [simplify]: iters left: 4 (182 enodes) 71.396 * * [simplify]: iters left: 3 (477 enodes) 71.574 * * [simplify]: Extracting #0: cost 1 inf + 0 71.574 * * [simplify]: Extracting #1: cost 59 inf + 0 71.575 * * [simplify]: Extracting #2: cost 300 inf + 1 71.577 * * [simplify]: Extracting #3: cost 406 inf + 186 71.582 * * [simplify]: Extracting #4: cost 309 inf + 25282 71.623 * * [simplify]: Extracting #5: cost 37 inf + 117525 71.663 * * [simplify]: Extracting #6: cost 0 inf + 135713 71.708 * [simplify]: Simplified to (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (log n) (/ (- 1 k) 2)) (log (sqrt k))))) 71.709 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (log n) (/ (- 1 k) 2)) (log (sqrt k))))))) 71.709 * * * * [progress]: [ 148 / 406 ] simplifiying candidate # 71.709 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 71.709 * * [simplify]: iters left: 6 (24 enodes) 71.717 * * [simplify]: iters left: 5 (98 enodes) 71.735 * * [simplify]: iters left: 4 (185 enodes) 71.799 * * [simplify]: Extracting #0: cost 1 inf + 0 71.799 * * [simplify]: Extracting #1: cost 24 inf + 0 71.799 * * [simplify]: Extracting #2: cost 110 inf + 1 71.800 * * [simplify]: Extracting #3: cost 165 inf + 3 71.800 * * [simplify]: Extracting #4: cost 157 inf + 873 71.803 * * [simplify]: Extracting #5: cost 81 inf + 17668 71.817 * * [simplify]: Extracting #6: cost 7 inf + 44961 71.825 * * [simplify]: Extracting #7: cost 0 inf + 47371 71.834 * * [simplify]: Extracting #8: cost 0 inf + 47208 71.844 * [simplify]: Simplified to (+ (* (- 1/4 (/ k 4)) (log n)) (+ (* (- 1/4 (/ k 4)) (log n)) (+ (* (- 1/4 (/ k 4)) (log (* 2 PI))) (- (* (- 1/4 (/ k 4)) (log (* 2 PI))) (log (sqrt k)))))) 71.844 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (- 1/4 (/ k 4)) (log n)) (+ (* (- 1/4 (/ k 4)) (log n)) (+ (* (- 1/4 (/ k 4)) (log (* 2 PI))) (- (* (- 1/4 (/ k 4)) (log (* 2 PI))) (log (sqrt k)))))))) 71.845 * * * * [progress]: [ 149 / 406 ] simplifiying candidate # 71.845 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 71.845 * * [simplify]: iters left: 6 (20 enodes) 71.851 * * [simplify]: iters left: 5 (91 enodes) 71.873 * * [simplify]: iters left: 4 (183 enodes) 71.936 * * [simplify]: iters left: 3 (444 enodes) 72.147 * * [simplify]: Extracting #0: cost 1 inf + 0 72.147 * * [simplify]: Extracting #1: cost 52 inf + 0 72.148 * * [simplify]: Extracting #2: cost 264 inf + 1 72.150 * * [simplify]: Extracting #3: cost 358 inf + 187 72.155 * * [simplify]: Extracting #4: cost 306 inf + 9516 72.169 * * [simplify]: Extracting #5: cost 139 inf + 52402 72.209 * * [simplify]: Extracting #6: cost 6 inf + 108709 72.249 * * [simplify]: Extracting #7: cost 0 inf + 111840 72.275 * * [simplify]: Extracting #8: cost 0 inf + 111835 72.299 * * [simplify]: Extracting #9: cost 0 inf + 111834 72.323 * [simplify]: Simplified to (- (+ (* (/ (- 1 k) 2) (log n)) (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (log (* 2 PI)))) (log (sqrt k))) 72.323 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (/ (- 1 k) 2) (log n)) (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (log (* 2 PI)))) (log (sqrt k))))) 72.323 * * * * [progress]: [ 150 / 406 ] simplifiying candidate # 72.323 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 72.324 * * [simplify]: iters left: 6 (20 enodes) 72.330 * * [simplify]: iters left: 5 (91 enodes) 72.354 * * [simplify]: iters left: 4 (183 enodes) 72.394 * * [simplify]: iters left: 3 (444 enodes) 72.589 * * [simplify]: Extracting #0: cost 1 inf + 0 72.590 * * [simplify]: Extracting #1: cost 52 inf + 0 72.591 * * [simplify]: Extracting #2: cost 264 inf + 1 72.594 * * [simplify]: Extracting #3: cost 358 inf + 187 72.599 * * [simplify]: Extracting #4: cost 306 inf + 9516 72.614 * * [simplify]: Extracting #5: cost 139 inf + 52402 72.660 * * [simplify]: Extracting #6: cost 6 inf + 108709 72.706 * * [simplify]: Extracting #7: cost 0 inf + 111840 72.755 * * [simplify]: Extracting #8: cost 0 inf + 111835 72.804 * * [simplify]: Extracting #9: cost 0 inf + 111834 72.851 * [simplify]: Simplified to (- (+ (* (/ (- 1 k) 2) (log n)) (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (log (* 2 PI)))) (log (sqrt k))) 72.851 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (/ (- 1 k) 2) (log n)) (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (log (* 2 PI)))) (log (sqrt k))))) 72.851 * * * * [progress]: [ 151 / 406 ] simplifiying candidate # 72.851 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 72.852 * * [simplify]: iters left: 6 (20 enodes) 72.864 * * [simplify]: iters left: 5 (92 enodes) 72.895 * * [simplify]: iters left: 4 (186 enodes) 72.971 * * [simplify]: iters left: 3 (491 enodes) 73.185 * * [simplify]: Extracting #0: cost 1 inf + 0 73.186 * * [simplify]: Extracting #1: cost 60 inf + 0 73.187 * * [simplify]: Extracting #2: cost 339 inf + 1 73.188 * * [simplify]: Extracting #3: cost 458 inf + 74 73.196 * * [simplify]: Extracting #4: cost 369 inf + 19598 73.223 * * [simplify]: Extracting #5: cost 79 inf + 114578 73.271 * * [simplify]: Extracting #6: cost 2 inf + 152669 73.311 * * [simplify]: Extracting #7: cost 0 inf + 153199 73.350 * * [simplify]: Extracting #8: cost 0 inf + 153159 73.402 * [simplify]: Simplified to (- (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) (log (sqrt k))) 73.402 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) (log (sqrt k))))) 73.402 * * * * [progress]: [ 152 / 406 ] simplifiying candidate # 73.402 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 73.402 * * [simplify]: iters left: 6 (20 enodes) 73.408 * * [simplify]: iters left: 5 (91 enodes) 73.431 * * [simplify]: iters left: 4 (183 enodes) 73.510 * * [simplify]: iters left: 3 (444 enodes) 73.684 * * [simplify]: Extracting #0: cost 1 inf + 0 73.684 * * [simplify]: Extracting #1: cost 52 inf + 0 73.686 * * [simplify]: Extracting #2: cost 264 inf + 1 73.688 * * [simplify]: Extracting #3: cost 358 inf + 187 73.693 * * [simplify]: Extracting #4: cost 306 inf + 9516 73.712 * * [simplify]: Extracting #5: cost 139 inf + 52402 73.732 * * [simplify]: Extracting #6: cost 6 inf + 108709 73.764 * * [simplify]: Extracting #7: cost 0 inf + 111840 73.787 * * [simplify]: Extracting #8: cost 0 inf + 111835 73.830 * * [simplify]: Extracting #9: cost 0 inf + 111834 73.878 * [simplify]: Simplified to (- (+ (* (/ (- 1 k) 2) (log n)) (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (log (* 2 PI)))) (log (sqrt k))) 73.878 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (/ (- 1 k) 2) (log n)) (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (log (* 2 PI)))) (log (sqrt k))))) 73.878 * * * * [progress]: [ 153 / 406 ] simplifiying candidate # 73.879 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 73.879 * * [simplify]: iters left: 6 (20 enodes) 73.891 * * [simplify]: iters left: 5 (91 enodes) 73.913 * * [simplify]: iters left: 4 (183 enodes) 73.974 * * [simplify]: iters left: 3 (444 enodes) 74.182 * * [simplify]: Extracting #0: cost 1 inf + 0 74.183 * * [simplify]: Extracting #1: cost 52 inf + 0 74.184 * * [simplify]: Extracting #2: cost 264 inf + 1 74.186 * * [simplify]: Extracting #3: cost 358 inf + 187 74.191 * * [simplify]: Extracting #4: cost 306 inf + 9516 74.207 * * [simplify]: Extracting #5: cost 139 inf + 52402 74.247 * * [simplify]: Extracting #6: cost 6 inf + 108709 74.299 * * [simplify]: Extracting #7: cost 0 inf + 111840 74.327 * * [simplify]: Extracting #8: cost 0 inf + 111835 74.354 * * [simplify]: Extracting #9: cost 0 inf + 111834 74.395 * [simplify]: Simplified to (- (+ (* (/ (- 1 k) 2) (log n)) (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (log (* 2 PI)))) (log (sqrt k))) 74.396 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (/ (- 1 k) 2) (log n)) (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (log (* 2 PI)))) (log (sqrt k))))) 74.396 * * * * [progress]: [ 154 / 406 ] simplifiying candidate # 74.396 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 74.396 * * [simplify]: iters left: 6 (20 enodes) 74.403 * * [simplify]: iters left: 5 (92 enodes) 74.423 * * [simplify]: iters left: 4 (186 enodes) 74.481 * * [simplify]: iters left: 3 (491 enodes) 74.707 * * [simplify]: Extracting #0: cost 1 inf + 0 74.707 * * [simplify]: Extracting #1: cost 60 inf + 0 74.708 * * [simplify]: Extracting #2: cost 339 inf + 1 74.710 * * [simplify]: Extracting #3: cost 458 inf + 74 74.714 * * [simplify]: Extracting #4: cost 369 inf + 19598 74.736 * * [simplify]: Extracting #5: cost 79 inf + 114578 74.796 * * [simplify]: Extracting #6: cost 2 inf + 152669 74.856 * * [simplify]: Extracting #7: cost 0 inf + 153199 74.918 * * [simplify]: Extracting #8: cost 0 inf + 153159 74.978 * [simplify]: Simplified to (- (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) (log (sqrt k))) 74.978 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) (log (sqrt k))))) 74.979 * * * * [progress]: [ 155 / 406 ] simplifiying candidate # 74.979 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log n) (/ (- 1 k) 2))) 74.979 * * [simplify]: iters left: 6 (22 enodes) 74.992 * * [simplify]: iters left: 5 (100 enodes) 75.021 * * [simplify]: iters left: 4 (217 enodes) 75.103 * * [simplify]: Extracting #0: cost 1 inf + 0 75.103 * * [simplify]: Extracting #1: cost 26 inf + 0 75.103 * * [simplify]: Extracting #2: cost 114 inf + 1 75.103 * * [simplify]: Extracting #3: cost 175 inf + 74 75.104 * * [simplify]: Extracting #4: cost 166 inf + 1371 75.106 * * [simplify]: Extracting #5: cost 123 inf + 8755 75.112 * * [simplify]: Extracting #6: cost 24 inf + 40035 75.124 * * [simplify]: Extracting #7: cost 0 inf + 51345 75.134 * * [simplify]: Extracting #8: cost 0 inf + 51177 75.153 * [simplify]: Simplified to (+ (+ (* (- 1/4 (/ k 4)) (log (* 2 PI))) (- (* (- 1/4 (/ k 4)) (log (* 2 PI))) (log (sqrt k)))) (* (log n) (/ (- 1 k) 2))) 75.153 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (* (- 1/4 (/ k 4)) (log (* 2 PI))) (- (* (- 1/4 (/ k 4)) (log (* 2 PI))) (log (sqrt k)))) (* (log n) (/ (- 1 k) 2))))) 75.153 * * * * [progress]: [ 156 / 406 ] simplifiying candidate # 75.154 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log n) (/ (- 1 k) 2))) 75.154 * * [simplify]: iters left: 6 (22 enodes) 75.166 * * [simplify]: iters left: 5 (100 enodes) 75.201 * * [simplify]: iters left: 4 (217 enodes) 75.278 * * [simplify]: Extracting #0: cost 1 inf + 0 75.278 * * [simplify]: Extracting #1: cost 26 inf + 0 75.278 * * [simplify]: Extracting #2: cost 114 inf + 1 75.279 * * [simplify]: Extracting #3: cost 175 inf + 74 75.279 * * [simplify]: Extracting #4: cost 166 inf + 1371 75.281 * * [simplify]: Extracting #5: cost 123 inf + 8755 75.287 * * [simplify]: Extracting #6: cost 24 inf + 40035 75.297 * * [simplify]: Extracting #7: cost 0 inf + 51345 75.316 * * [simplify]: Extracting #8: cost 0 inf + 51177 75.332 * [simplify]: Simplified to (+ (+ (* (- 1/4 (/ k 4)) (log (* 2 PI))) (- (* (- 1/4 (/ k 4)) (log (* 2 PI))) (log (sqrt k)))) (* (log n) (/ (- 1 k) 2))) 75.332 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (* (- 1/4 (/ k 4)) (log (* 2 PI))) (- (* (- 1/4 (/ k 4)) (log (* 2 PI))) (log (sqrt k)))) (* (log n) (/ (- 1 k) 2))))) 75.332 * * * * [progress]: [ 157 / 406 ] simplifiying candidate # 75.333 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (log (pow n (/ (- 1 k) 2)))) 75.333 * * [simplify]: iters left: 6 (22 enodes) 75.339 * * [simplify]: iters left: 5 (101 enodes) 75.358 * * [simplify]: iters left: 4 (219 enodes) 75.455 * * [simplify]: Extracting #0: cost 1 inf + 0 75.455 * * [simplify]: Extracting #1: cost 27 inf + 0 75.455 * * [simplify]: Extracting #2: cost 125 inf + 1 75.456 * * [simplify]: Extracting #3: cost 191 inf + 74 75.457 * * [simplify]: Extracting #4: cost 160 inf + 4985 75.462 * * [simplify]: Extracting #5: cost 49 inf + 34629 75.471 * * [simplify]: Extracting #6: cost 7 inf + 52775 75.481 * * [simplify]: Extracting #7: cost 0 inf + 56488 75.491 * [simplify]: Simplified to (+ (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k)))) (/ (- 1 k) (/ 2 (log n)))) 75.491 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k)))) (/ (- 1 k) (/ 2 (log n)))))) 75.491 * * * * [progress]: [ 158 / 406 ] simplifiying candidate # 75.491 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 75.491 * * [simplify]: iters left: 6 (24 enodes) 75.499 * * [simplify]: iters left: 5 (97 enodes) 75.515 * * [simplify]: iters left: 4 (182 enodes) 75.561 * * [simplify]: iters left: 3 (477 enodes) 75.742 * * [simplify]: Extracting #0: cost 1 inf + 0 75.742 * * [simplify]: Extracting #1: cost 59 inf + 0 75.743 * * [simplify]: Extracting #2: cost 300 inf + 1 75.745 * * [simplify]: Extracting #3: cost 406 inf + 186 75.749 * * [simplify]: Extracting #4: cost 309 inf + 25282 75.778 * * [simplify]: Extracting #5: cost 37 inf + 117525 75.812 * * [simplify]: Extracting #6: cost 0 inf + 135713 75.872 * [simplify]: Simplified to (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (log n) (/ (- 1 k) 2)) (log (sqrt k))))) 75.872 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (log n) (/ (- 1 k) 2)) (log (sqrt k))))))) 75.872 * * * * [progress]: [ 159 / 406 ] simplifiying candidate # 75.872 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 75.873 * * [simplify]: iters left: 6 (24 enodes) 75.884 * * [simplify]: iters left: 5 (97 enodes) 75.903 * * [simplify]: iters left: 4 (182 enodes) 75.969 * * [simplify]: iters left: 3 (477 enodes) 76.192 * * [simplify]: Extracting #0: cost 1 inf + 0 76.192 * * [simplify]: Extracting #1: cost 59 inf + 0 76.193 * * [simplify]: Extracting #2: cost 300 inf + 1 76.194 * * [simplify]: Extracting #3: cost 406 inf + 186 76.200 * * [simplify]: Extracting #4: cost 309 inf + 25282 76.245 * * [simplify]: Extracting #5: cost 37 inf + 117525 76.301 * * [simplify]: Extracting #6: cost 0 inf + 135713 76.358 * [simplify]: Simplified to (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (log n) (/ (- 1 k) 2)) (log (sqrt k))))) 76.359 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (log n) (/ (- 1 k) 2)) (log (sqrt k))))))) 76.359 * * * * [progress]: [ 160 / 406 ] simplifiying candidate # 76.359 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 76.360 * * [simplify]: iters left: 6 (24 enodes) 76.372 * * [simplify]: iters left: 5 (98 enodes) 76.391 * * [simplify]: iters left: 4 (185 enodes) 76.474 * * [simplify]: Extracting #0: cost 1 inf + 0 76.475 * * [simplify]: Extracting #1: cost 24 inf + 0 76.475 * * [simplify]: Extracting #2: cost 110 inf + 1 76.476 * * [simplify]: Extracting #3: cost 165 inf + 3 76.477 * * [simplify]: Extracting #4: cost 157 inf + 873 76.482 * * [simplify]: Extracting #5: cost 81 inf + 17668 76.497 * * [simplify]: Extracting #6: cost 7 inf + 44961 76.518 * * [simplify]: Extracting #7: cost 0 inf + 47371 76.536 * * [simplify]: Extracting #8: cost 0 inf + 47208 76.545 * [simplify]: Simplified to (+ (* (- 1/4 (/ k 4)) (log n)) (+ (* (- 1/4 (/ k 4)) (log n)) (+ (* (- 1/4 (/ k 4)) (log (* 2 PI))) (- (* (- 1/4 (/ k 4)) (log (* 2 PI))) (log (sqrt k)))))) 76.545 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (- 1/4 (/ k 4)) (log n)) (+ (* (- 1/4 (/ k 4)) (log n)) (+ (* (- 1/4 (/ k 4)) (log (* 2 PI))) (- (* (- 1/4 (/ k 4)) (log (* 2 PI))) (log (sqrt k)))))))) 76.545 * * * * [progress]: [ 161 / 406 ] simplifiying candidate # 76.545 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 76.546 * * [simplify]: iters left: 6 (20 enodes) 76.552 * * [simplify]: iters left: 5 (91 enodes) 76.568 * * [simplify]: iters left: 4 (183 enodes) 76.629 * * [simplify]: iters left: 3 (444 enodes) 76.812 * * [simplify]: Extracting #0: cost 1 inf + 0 76.812 * * [simplify]: Extracting #1: cost 52 inf + 0 76.813 * * [simplify]: Extracting #2: cost 264 inf + 1 76.816 * * [simplify]: Extracting #3: cost 358 inf + 187 76.820 * * [simplify]: Extracting #4: cost 306 inf + 9516 76.836 * * [simplify]: Extracting #5: cost 139 inf + 52402 76.877 * * [simplify]: Extracting #6: cost 6 inf + 108709 76.903 * * [simplify]: Extracting #7: cost 0 inf + 111840 76.945 * * [simplify]: Extracting #8: cost 0 inf + 111835 76.991 * * [simplify]: Extracting #9: cost 0 inf + 111834 77.038 * [simplify]: Simplified to (- (+ (* (/ (- 1 k) 2) (log n)) (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (log (* 2 PI)))) (log (sqrt k))) 77.038 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (/ (- 1 k) 2) (log n)) (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (log (* 2 PI)))) (log (sqrt k))))) 77.039 * * * * [progress]: [ 162 / 406 ] simplifiying candidate # 77.039 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 77.039 * * [simplify]: iters left: 6 (20 enodes) 77.050 * * [simplify]: iters left: 5 (91 enodes) 77.067 * * [simplify]: iters left: 4 (183 enodes) 77.135 * * [simplify]: iters left: 3 (444 enodes) 77.364 * * [simplify]: Extracting #0: cost 1 inf + 0 77.364 * * [simplify]: Extracting #1: cost 52 inf + 0 77.364 * * [simplify]: Extracting #2: cost 264 inf + 1 77.369 * * [simplify]: Extracting #3: cost 358 inf + 187 77.372 * * [simplify]: Extracting #4: cost 306 inf + 9516 77.387 * * [simplify]: Extracting #5: cost 139 inf + 52402 77.426 * * [simplify]: Extracting #6: cost 6 inf + 108709 77.473 * * [simplify]: Extracting #7: cost 0 inf + 111840 77.501 * * [simplify]: Extracting #8: cost 0 inf + 111835 77.537 * * [simplify]: Extracting #9: cost 0 inf + 111834 77.562 * [simplify]: Simplified to (- (+ (* (/ (- 1 k) 2) (log n)) (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (log (* 2 PI)))) (log (sqrt k))) 77.563 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (/ (- 1 k) 2) (log n)) (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (log (* 2 PI)))) (log (sqrt k))))) 77.563 * * * * [progress]: [ 163 / 406 ] simplifiying candidate # 77.563 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 77.563 * * [simplify]: iters left: 6 (20 enodes) 77.571 * * [simplify]: iters left: 5 (92 enodes) 77.598 * * [simplify]: iters left: 4 (186 enodes) 77.655 * * [simplify]: iters left: 3 (491 enodes) 77.879 * * [simplify]: Extracting #0: cost 1 inf + 0 77.879 * * [simplify]: Extracting #1: cost 60 inf + 0 77.880 * * [simplify]: Extracting #2: cost 339 inf + 1 77.882 * * [simplify]: Extracting #3: cost 458 inf + 74 77.886 * * [simplify]: Extracting #4: cost 369 inf + 19598 77.911 * * [simplify]: Extracting #5: cost 79 inf + 114578 77.969 * * [simplify]: Extracting #6: cost 2 inf + 152669 78.034 * * [simplify]: Extracting #7: cost 0 inf + 153199 78.094 * * [simplify]: Extracting #8: cost 0 inf + 153159 78.155 * [simplify]: Simplified to (- (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) (log (sqrt k))) 78.155 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) (log (sqrt k))))) 78.155 * * * * [progress]: [ 164 / 406 ] simplifiying candidate # 78.155 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 78.155 * * [simplify]: iters left: 6 (20 enodes) 78.168 * * [simplify]: iters left: 5 (91 enodes) 78.201 * * [simplify]: iters left: 4 (183 enodes) 78.256 * * [simplify]: iters left: 3 (444 enodes) 78.422 * * [simplify]: Extracting #0: cost 1 inf + 0 78.422 * * [simplify]: Extracting #1: cost 52 inf + 0 78.423 * * [simplify]: Extracting #2: cost 264 inf + 1 78.424 * * [simplify]: Extracting #3: cost 358 inf + 187 78.426 * * [simplify]: Extracting #4: cost 306 inf + 9516 78.434 * * [simplify]: Extracting #5: cost 139 inf + 52402 78.472 * * [simplify]: Extracting #6: cost 6 inf + 108709 78.500 * * [simplify]: Extracting #7: cost 0 inf + 111840 78.525 * * [simplify]: Extracting #8: cost 0 inf + 111835 78.549 * * [simplify]: Extracting #9: cost 0 inf + 111834 78.590 * [simplify]: Simplified to (- (+ (* (/ (- 1 k) 2) (log n)) (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (log (* 2 PI)))) (log (sqrt k))) 78.590 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (/ (- 1 k) 2) (log n)) (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (log (* 2 PI)))) (log (sqrt k))))) 78.591 * * * * [progress]: [ 165 / 406 ] simplifiying candidate # 78.591 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 78.591 * * [simplify]: iters left: 6 (20 enodes) 78.597 * * [simplify]: iters left: 5 (91 enodes) 78.615 * * [simplify]: iters left: 4 (183 enodes) 78.670 * * [simplify]: iters left: 3 (444 enodes) 78.880 * * [simplify]: Extracting #0: cost 1 inf + 0 78.881 * * [simplify]: Extracting #1: cost 52 inf + 0 78.882 * * [simplify]: Extracting #2: cost 264 inf + 1 78.884 * * [simplify]: Extracting #3: cost 358 inf + 187 78.889 * * [simplify]: Extracting #4: cost 306 inf + 9516 78.905 * * [simplify]: Extracting #5: cost 139 inf + 52402 78.935 * * [simplify]: Extracting #6: cost 6 inf + 108709 78.962 * * [simplify]: Extracting #7: cost 0 inf + 111840 79.008 * * [simplify]: Extracting #8: cost 0 inf + 111835 79.057 * * [simplify]: Extracting #9: cost 0 inf + 111834 79.082 * [simplify]: Simplified to (- (+ (* (/ (- 1 k) 2) (log n)) (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (log (* 2 PI)))) (log (sqrt k))) 79.082 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (/ (- 1 k) 2) (log n)) (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (log (* 2 PI)))) (log (sqrt k))))) 79.083 * * * * [progress]: [ 166 / 406 ] simplifiying candidate # 79.083 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 79.083 * * [simplify]: iters left: 6 (20 enodes) 79.089 * * [simplify]: iters left: 5 (92 enodes) 79.119 * * [simplify]: iters left: 4 (186 enodes) 79.173 * * [simplify]: iters left: 3 (491 enodes) 79.421 * * [simplify]: Extracting #0: cost 1 inf + 0 79.421 * * [simplify]: Extracting #1: cost 60 inf + 0 79.423 * * [simplify]: Extracting #2: cost 339 inf + 1 79.432 * * [simplify]: Extracting #3: cost 458 inf + 74 79.439 * * [simplify]: Extracting #4: cost 369 inf + 19598 79.473 * * [simplify]: Extracting #5: cost 79 inf + 114578 79.532 * * [simplify]: Extracting #6: cost 2 inf + 152669 79.576 * * [simplify]: Extracting #7: cost 0 inf + 153199 79.617 * * [simplify]: Extracting #8: cost 0 inf + 153159 79.678 * [simplify]: Simplified to (- (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) (log (sqrt k))) 79.678 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) (log (sqrt k))))) 79.678 * * * * [progress]: [ 167 / 406 ] simplifiying candidate # 79.678 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log n) (/ (- 1 k) 2))) 79.679 * * [simplify]: iters left: 6 (22 enodes) 79.694 * * [simplify]: iters left: 5 (100 enodes) 79.728 * * [simplify]: iters left: 4 (217 enodes) 79.837 * * [simplify]: Extracting #0: cost 1 inf + 0 79.837 * * [simplify]: Extracting #1: cost 26 inf + 0 79.838 * * [simplify]: Extracting #2: cost 114 inf + 1 79.838 * * [simplify]: Extracting #3: cost 175 inf + 74 79.840 * * [simplify]: Extracting #4: cost 166 inf + 1371 79.843 * * [simplify]: Extracting #5: cost 123 inf + 8755 79.856 * * [simplify]: Extracting #6: cost 24 inf + 40035 79.874 * * [simplify]: Extracting #7: cost 0 inf + 51345 79.883 * * [simplify]: Extracting #8: cost 0 inf + 51177 79.893 * [simplify]: Simplified to (+ (+ (* (- 1/4 (/ k 4)) (log (* 2 PI))) (- (* (- 1/4 (/ k 4)) (log (* 2 PI))) (log (sqrt k)))) (* (log n) (/ (- 1 k) 2))) 79.893 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (* (- 1/4 (/ k 4)) (log (* 2 PI))) (- (* (- 1/4 (/ k 4)) (log (* 2 PI))) (log (sqrt k)))) (* (log n) (/ (- 1 k) 2))))) 79.893 * * * * [progress]: [ 168 / 406 ] simplifiying candidate # 79.894 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log n) (/ (- 1 k) 2))) 79.894 * * [simplify]: iters left: 6 (22 enodes) 79.900 * * [simplify]: iters left: 5 (100 enodes) 79.920 * * [simplify]: iters left: 4 (217 enodes) 79.985 * * [simplify]: Extracting #0: cost 1 inf + 0 79.985 * * [simplify]: Extracting #1: cost 26 inf + 0 79.985 * * [simplify]: Extracting #2: cost 114 inf + 1 79.986 * * [simplify]: Extracting #3: cost 175 inf + 74 79.987 * * [simplify]: Extracting #4: cost 166 inf + 1371 79.988 * * [simplify]: Extracting #5: cost 123 inf + 8755 79.995 * * [simplify]: Extracting #6: cost 24 inf + 40035 80.006 * * [simplify]: Extracting #7: cost 0 inf + 51345 80.020 * * [simplify]: Extracting #8: cost 0 inf + 51177 80.039 * [simplify]: Simplified to (+ (+ (* (- 1/4 (/ k 4)) (log (* 2 PI))) (- (* (- 1/4 (/ k 4)) (log (* 2 PI))) (log (sqrt k)))) (* (log n) (/ (- 1 k) 2))) 80.040 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (* (- 1/4 (/ k 4)) (log (* 2 PI))) (- (* (- 1/4 (/ k 4)) (log (* 2 PI))) (log (sqrt k)))) (* (log n) (/ (- 1 k) 2))))) 80.040 * * * * [progress]: [ 169 / 406 ] simplifiying candidate # 80.040 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (log (pow n (/ (- 1 k) 2)))) 80.041 * * [simplify]: iters left: 6 (22 enodes) 80.053 * * [simplify]: iters left: 5 (101 enodes) 80.089 * * [simplify]: iters left: 4 (219 enodes) 80.183 * * [simplify]: Extracting #0: cost 1 inf + 0 80.183 * * [simplify]: Extracting #1: cost 27 inf + 0 80.185 * * [simplify]: Extracting #2: cost 125 inf + 1 80.186 * * [simplify]: Extracting #3: cost 191 inf + 74 80.188 * * [simplify]: Extracting #4: cost 160 inf + 4985 80.198 * * [simplify]: Extracting #5: cost 49 inf + 34629 80.216 * * [simplify]: Extracting #6: cost 7 inf + 52775 80.236 * * [simplify]: Extracting #7: cost 0 inf + 56488 80.249 * [simplify]: Simplified to (+ (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k)))) (/ (- 1 k) (/ 2 (log n)))) 80.249 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k)))) (/ (- 1 k) (/ 2 (log n)))))) 80.249 * * * * [progress]: [ 170 / 406 ] simplifiying candidate # 80.249 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 80.249 * * [simplify]: iters left: 6 (24 enodes) 80.259 * * [simplify]: iters left: 5 (106 enodes) 80.284 * * [simplify]: iters left: 4 (217 enodes) 80.351 * * [simplify]: Extracting #0: cost 1 inf + 0 80.351 * * [simplify]: Extracting #1: cost 26 inf + 0 80.351 * * [simplify]: Extracting #2: cost 121 inf + 1 80.352 * * [simplify]: Extracting #3: cost 176 inf + 3 80.353 * * [simplify]: Extracting #4: cost 171 inf + 843 80.356 * * [simplify]: Extracting #5: cost 134 inf + 8619 80.370 * * [simplify]: Extracting #6: cost 25 inf + 44195 80.389 * * [simplify]: Extracting #7: cost 0 inf + 52877 80.402 * [simplify]: Simplified to (+ (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (/ (log n) (/ 2 (- 1 k)))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k)))) 80.402 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (/ (log n) (/ 2 (- 1 k)))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k)))))) 80.402 * * * * [progress]: [ 171 / 406 ] simplifiying candidate # 80.403 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 80.403 * * [simplify]: iters left: 6 (24 enodes) 80.410 * * [simplify]: iters left: 5 (106 enodes) 80.433 * * [simplify]: iters left: 4 (217 enodes) 80.504 * * [simplify]: Extracting #0: cost 1 inf + 0 80.504 * * [simplify]: Extracting #1: cost 26 inf + 0 80.504 * * [simplify]: Extracting #2: cost 121 inf + 1 80.505 * * [simplify]: Extracting #3: cost 176 inf + 3 80.505 * * [simplify]: Extracting #4: cost 171 inf + 843 80.507 * * [simplify]: Extracting #5: cost 134 inf + 8619 80.515 * * [simplify]: Extracting #6: cost 25 inf + 44195 80.537 * * [simplify]: Extracting #7: cost 0 inf + 52877 80.547 * [simplify]: Simplified to (+ (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (/ (log n) (/ 2 (- 1 k)))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k)))) 80.547 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (/ (log n) (/ 2 (- 1 k)))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k)))))) 80.548 * * * * [progress]: [ 172 / 406 ] simplifiying candidate # 80.548 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 80.548 * * [simplify]: iters left: 6 (24 enodes) 80.555 * * [simplify]: iters left: 5 (107 enodes) 80.583 * * [simplify]: iters left: 4 (219 enodes) 80.680 * * [simplify]: Extracting #0: cost 1 inf + 0 80.680 * * [simplify]: Extracting #1: cost 29 inf + 0 80.681 * * [simplify]: Extracting #2: cost 134 inf + 1 80.682 * * [simplify]: Extracting #3: cost 194 inf + 3 80.684 * * [simplify]: Extracting #4: cost 170 inf + 3219 80.690 * * [simplify]: Extracting #5: cost 91 inf + 23478 80.699 * * [simplify]: Extracting #6: cost 6 inf + 58115 80.710 * * [simplify]: Extracting #7: cost 0 inf + 61111 80.725 * * [simplify]: Extracting #8: cost 0 inf + 61071 80.745 * [simplify]: Simplified to (+ (+ (+ (* (- 1/4 (/ k 4)) (log (* 2 PI))) (* (- 1/4 (/ k 4)) (log n))) (* (- 1/4 (/ k 4)) (log n))) (- (* (- 1/4 (/ k 4)) (log (* 2 PI))) (log (sqrt k)))) 80.745 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (+ (* (- 1/4 (/ k 4)) (log (* 2 PI))) (* (- 1/4 (/ k 4)) (log n))) (* (- 1/4 (/ k 4)) (log n))) (- (* (- 1/4 (/ k 4)) (log (* 2 PI))) (log (sqrt k)))))) 80.745 * * * * [progress]: [ 173 / 406 ] simplifiying candidate # 80.746 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 80.746 * * [simplify]: iters left: 6 (22 enodes) 80.753 * * [simplify]: iters left: 5 (100 enodes) 80.772 * * [simplify]: iters left: 4 (215 enodes) 80.850 * * [simplify]: Extracting #0: cost 1 inf + 0 80.850 * * [simplify]: Extracting #1: cost 24 inf + 0 80.851 * * [simplify]: Extracting #2: cost 111 inf + 1 80.852 * * [simplify]: Extracting #3: cost 172 inf + 74 80.853 * * [simplify]: Extracting #4: cost 167 inf + 884 80.855 * * [simplify]: Extracting #5: cost 134 inf + 5069 80.863 * * [simplify]: Extracting #6: cost 31 inf + 34744 80.872 * * [simplify]: Extracting #7: cost 0 inf + 48911 80.880 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (log (* 2 PI))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* 2 PI))))) (* (/ (- 1 k) 2) (log n))) 80.881 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (log (* 2 PI))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* 2 PI))))) (* (/ (- 1 k) 2) (log n))))) 80.881 * * * * [progress]: [ 174 / 406 ] simplifiying candidate # 80.881 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 80.881 * * [simplify]: iters left: 6 (22 enodes) 80.888 * * [simplify]: iters left: 5 (100 enodes) 80.916 * * [simplify]: iters left: 4 (215 enodes) 80.993 * * [simplify]: Extracting #0: cost 1 inf + 0 80.994 * * [simplify]: Extracting #1: cost 24 inf + 0 80.994 * * [simplify]: Extracting #2: cost 111 inf + 1 80.994 * * [simplify]: Extracting #3: cost 172 inf + 74 80.995 * * [simplify]: Extracting #4: cost 167 inf + 884 80.996 * * [simplify]: Extracting #5: cost 134 inf + 5069 81.001 * * [simplify]: Extracting #6: cost 31 inf + 34744 81.010 * * [simplify]: Extracting #7: cost 0 inf + 48911 81.021 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (log (* 2 PI))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* 2 PI))))) (* (/ (- 1 k) 2) (log n))) 81.021 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (log (* 2 PI))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* 2 PI))))) (* (/ (- 1 k) 2) (log n))))) 81.021 * * * * [progress]: [ 175 / 406 ] simplifiying candidate # 81.022 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 81.022 * * [simplify]: iters left: 6 (22 enodes) 81.035 * * [simplify]: iters left: 5 (101 enodes) 81.070 * * [simplify]: iters left: 4 (217 enodes) 81.151 * * [simplify]: Extracting #0: cost 1 inf + 0 81.152 * * [simplify]: Extracting #1: cost 27 inf + 0 81.152 * * [simplify]: Extracting #2: cost 124 inf + 1 81.153 * * [simplify]: Extracting #3: cost 190 inf + 74 81.155 * * [simplify]: Extracting #4: cost 158 inf + 4349 81.163 * * [simplify]: Extracting #5: cost 69 inf + 26360 81.179 * * [simplify]: Extracting #6: cost 12 inf + 49644 81.199 * * [simplify]: Extracting #7: cost 0 inf + 56333 81.218 * [simplify]: Simplified to (+ (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k)))) (/ (- 1 k) (/ 2 (log n)))) 81.218 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k)))) (/ (- 1 k) (/ 2 (log n)))))) 81.218 * * * * [progress]: [ 176 / 406 ] simplifiying candidate # 81.218 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 81.218 * * [simplify]: iters left: 6 (22 enodes) 81.232 * * [simplify]: iters left: 5 (100 enodes) 81.264 * * [simplify]: iters left: 4 (215 enodes) 81.315 * * [simplify]: Extracting #0: cost 1 inf + 0 81.315 * * [simplify]: Extracting #1: cost 24 inf + 0 81.315 * * [simplify]: Extracting #2: cost 111 inf + 1 81.316 * * [simplify]: Extracting #3: cost 172 inf + 74 81.317 * * [simplify]: Extracting #4: cost 167 inf + 884 81.318 * * [simplify]: Extracting #5: cost 134 inf + 5069 81.323 * * [simplify]: Extracting #6: cost 31 inf + 34744 81.331 * * [simplify]: Extracting #7: cost 0 inf + 48911 81.340 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (log (* 2 PI))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* 2 PI))))) (* (/ (- 1 k) 2) (log n))) 81.340 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (log (* 2 PI))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* 2 PI))))) (* (/ (- 1 k) 2) (log n))))) 81.341 * * * * [progress]: [ 177 / 406 ] simplifiying candidate # 81.341 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 81.341 * * [simplify]: iters left: 6 (22 enodes) 81.350 * * [simplify]: iters left: 5 (100 enodes) 81.368 * * [simplify]: iters left: 4 (215 enodes) 81.755 * * [simplify]: Extracting #0: cost 1 inf + 0 81.755 * * [simplify]: Extracting #1: cost 24 inf + 0 81.756 * * [simplify]: Extracting #2: cost 111 inf + 1 81.757 * * [simplify]: Extracting #3: cost 172 inf + 74 81.758 * * [simplify]: Extracting #4: cost 167 inf + 884 81.760 * * [simplify]: Extracting #5: cost 134 inf + 5069 81.771 * * [simplify]: Extracting #6: cost 31 inf + 34744 81.780 * * [simplify]: Extracting #7: cost 0 inf + 48911 81.789 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (log (* 2 PI))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* 2 PI))))) (* (/ (- 1 k) 2) (log n))) 81.789 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (log (* 2 PI))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* 2 PI))))) (* (/ (- 1 k) 2) (log n))))) 81.789 * * * * [progress]: [ 178 / 406 ] simplifiying candidate # 81.789 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 81.789 * * [simplify]: iters left: 6 (22 enodes) 81.797 * * [simplify]: iters left: 5 (101 enodes) 81.828 * * [simplify]: iters left: 4 (217 enodes) 81.912 * * [simplify]: Extracting #0: cost 1 inf + 0 81.913 * * [simplify]: Extracting #1: cost 27 inf + 0 81.913 * * [simplify]: Extracting #2: cost 124 inf + 1 81.914 * * [simplify]: Extracting #3: cost 190 inf + 74 81.916 * * [simplify]: Extracting #4: cost 158 inf + 4349 81.924 * * [simplify]: Extracting #5: cost 69 inf + 26360 81.941 * * [simplify]: Extracting #6: cost 12 inf + 49644 81.952 * * [simplify]: Extracting #7: cost 0 inf + 56333 81.962 * [simplify]: Simplified to (+ (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k)))) (/ (- 1 k) (/ 2 (log n)))) 81.962 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k)))) (/ (- 1 k) (/ 2 (log n)))))) 81.962 * * * * [progress]: [ 179 / 406 ] simplifiying candidate # 81.962 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log n) (/ (- 1 k) 2))) 81.963 * * [simplify]: iters left: 6 (20 enodes) 81.971 * * [simplify]: iters left: 5 (90 enodes) 81.987 * * [simplify]: iters left: 4 (186 enodes) 82.027 * * [simplify]: iters left: 3 (448 enodes) 82.263 * * [simplify]: Extracting #0: cost 1 inf + 0 82.263 * * [simplify]: Extracting #1: cost 41 inf + 0 82.265 * * [simplify]: Extracting #2: cost 289 inf + 1 82.268 * * [simplify]: Extracting #3: cost 410 inf + 5 82.275 * * [simplify]: Extracting #4: cost 347 inf + 16399 82.298 * * [simplify]: Extracting #5: cost 105 inf + 84028 82.322 * * [simplify]: Extracting #6: cost 11 inf + 122829 82.349 * * [simplify]: Extracting #7: cost 0 inf + 128422 82.396 * [simplify]: Simplified to (- (* (/ (- 1 k) 4) (log (* 2 PI))) (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log n))) (* (/ (- 1 k) 4) (log (* 2 PI))))) 82.396 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 4) (log (* 2 PI))) (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log n))) (* (/ (- 1 k) 4) (log (* 2 PI))))))) 82.396 * * * * [progress]: [ 180 / 406 ] simplifiying candidate # 82.396 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log n) (/ (- 1 k) 2))) 82.396 * * [simplify]: iters left: 6 (20 enodes) 82.402 * * [simplify]: iters left: 5 (90 enodes) 82.418 * * [simplify]: iters left: 4 (186 enodes) 82.488 * * [simplify]: iters left: 3 (448 enodes) 82.797 * * [simplify]: Extracting #0: cost 1 inf + 0 82.797 * * [simplify]: Extracting #1: cost 41 inf + 0 82.799 * * [simplify]: Extracting #2: cost 289 inf + 1 82.802 * * [simplify]: Extracting #3: cost 410 inf + 5 82.809 * * [simplify]: Extracting #4: cost 347 inf + 16399 82.843 * * [simplify]: Extracting #5: cost 105 inf + 84028 82.868 * * [simplify]: Extracting #6: cost 11 inf + 122829 82.900 * * [simplify]: Extracting #7: cost 0 inf + 128422 82.938 * [simplify]: Simplified to (- (* (/ (- 1 k) 4) (log (* 2 PI))) (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log n))) (* (/ (- 1 k) 4) (log (* 2 PI))))) 82.938 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 4) (log (* 2 PI))) (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log n))) (* (/ (- 1 k) 4) (log (* 2 PI))))))) 82.939 * * * * [progress]: [ 181 / 406 ] simplifiying candidate # 82.939 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (log (pow n (/ (- 1 k) 2)))) 82.939 * * [simplify]: iters left: 6 (20 enodes) 82.950 * * [simplify]: iters left: 5 (91 enodes) 82.983 * * [simplify]: iters left: 4 (185 enodes) 83.060 * * [simplify]: iters left: 3 (468 enodes) 83.346 * * [simplify]: Extracting #0: cost 1 inf + 0 83.346 * * [simplify]: Extracting #1: cost 51 inf + 0 83.347 * * [simplify]: Extracting #2: cost 350 inf + 1 83.349 * * [simplify]: Extracting #3: cost 485 inf + 3 83.354 * * [simplify]: Extracting #4: cost 392 inf + 28385 83.383 * * [simplify]: Extracting #5: cost 92 inf + 132865 83.433 * * [simplify]: Extracting #6: cost 2 inf + 161936 83.482 * * [simplify]: Extracting #7: cost 0 inf + 162407 83.546 * [simplify]: Simplified to (+ (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (- (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (log (sqrt k)))) 83.546 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (- (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (log (sqrt k)))))) 83.546 * * * * [progress]: [ 182 / 406 ] simplifiying candidate # 83.547 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 83.547 * * [simplify]: iters left: 6 (21 enodes) 83.560 * * [simplify]: iters left: 5 (92 enodes) 83.591 * * [simplify]: iters left: 4 (173 enodes) 83.645 * * [simplify]: iters left: 3 (469 enodes) 83.859 * * [simplify]: Extracting #0: cost 1 inf + 0 83.860 * * [simplify]: Extracting #1: cost 57 inf + 0 83.861 * * [simplify]: Extracting #2: cost 307 inf + 1 83.864 * * [simplify]: Extracting #3: cost 417 inf + 186 83.872 * * [simplify]: Extracting #4: cost 333 inf + 23325 83.903 * * [simplify]: Extracting #5: cost 101 inf + 96813 83.956 * * [simplify]: Extracting #6: cost 4 inf + 149019 83.988 * * [simplify]: Extracting #7: cost 0 inf + 151131 84.025 * * [simplify]: Extracting #8: cost 0 inf + 151050 84.086 * [simplify]: Simplified to (- (* (log n) (/ (- 1 k) 2)) (- (- (log (sqrt k)) (* (+ (log PI) (log 2)) (/ (- 1 k) 4))) (* (+ (log PI) (log 2)) (/ (- 1 k) 4)))) 84.086 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (log n) (/ (- 1 k) 2)) (- (- (log (sqrt k)) (* (+ (log PI) (log 2)) (/ (- 1 k) 4))) (* (+ (log PI) (log 2)) (/ (- 1 k) 4)))))) 84.086 * * * * [progress]: [ 183 / 406 ] simplifiying candidate # 84.086 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 84.087 * * [simplify]: iters left: 6 (21 enodes) 84.100 * * [simplify]: iters left: 5 (92 enodes) 84.118 * * [simplify]: iters left: 4 (173 enodes) 84.175 * * [simplify]: iters left: 3 (469 enodes) 84.419 * * [simplify]: Extracting #0: cost 1 inf + 0 84.419 * * [simplify]: Extracting #1: cost 57 inf + 0 84.420 * * [simplify]: Extracting #2: cost 307 inf + 1 84.421 * * [simplify]: Extracting #3: cost 417 inf + 186 84.426 * * [simplify]: Extracting #4: cost 333 inf + 23325 84.456 * * [simplify]: Extracting #5: cost 101 inf + 96813 84.515 * * [simplify]: Extracting #6: cost 4 inf + 149019 84.572 * * [simplify]: Extracting #7: cost 0 inf + 151131 84.603 * * [simplify]: Extracting #8: cost 0 inf + 151050 84.648 * [simplify]: Simplified to (- (* (log n) (/ (- 1 k) 2)) (- (- (log (sqrt k)) (* (+ (log PI) (log 2)) (/ (- 1 k) 4))) (* (+ (log PI) (log 2)) (/ (- 1 k) 4)))) 84.648 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (log n) (/ (- 1 k) 2)) (- (- (log (sqrt k)) (* (+ (log PI) (log 2)) (/ (- 1 k) 4))) (* (+ (log PI) (log 2)) (/ (- 1 k) 4)))))) 84.648 * * * * [progress]: [ 184 / 406 ] simplifiying candidate # 84.648 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 84.649 * * [simplify]: iters left: 6 (21 enodes) 84.655 * * [simplify]: iters left: 5 (93 enodes) 84.671 * * [simplify]: iters left: 4 (176 enodes) 84.720 * * [simplify]: Extracting #0: cost 1 inf + 0 84.721 * * [simplify]: Extracting #1: cost 25 inf + 0 84.721 * * [simplify]: Extracting #2: cost 108 inf + 1 84.721 * * [simplify]: Extracting #3: cost 161 inf + 74 84.722 * * [simplify]: Extracting #4: cost 153 inf + 873 84.724 * * [simplify]: Extracting #5: cost 88 inf + 16638 84.731 * * [simplify]: Extracting #6: cost 10 inf + 47528 84.740 * * [simplify]: Extracting #7: cost 0 inf + 52638 84.751 * * [simplify]: Extracting #8: cost 0 inf + 52435 84.767 * * [simplify]: Extracting #9: cost 0 inf + 52354 84.776 * [simplify]: Simplified to (+ (+ (+ (* (+ (log PI) (log 2)) (- 1/4 (/ k 4))) (* (- 1/4 (/ k 4)) (log n))) (* (- 1/4 (/ k 4)) (log n))) (- (* (+ (log PI) (log 2)) (- 1/4 (/ k 4))) (log (sqrt k)))) 84.776 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (+ (* (+ (log PI) (log 2)) (- 1/4 (/ k 4))) (* (- 1/4 (/ k 4)) (log n))) (* (- 1/4 (/ k 4)) (log n))) (- (* (+ (log PI) (log 2)) (- 1/4 (/ k 4))) (log (sqrt k)))))) 84.777 * * * * [progress]: [ 185 / 406 ] simplifiying candidate # 84.777 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 84.777 * * [simplify]: iters left: 6 (24 enodes) 84.784 * * [simplify]: iters left: 5 (98 enodes) 84.806 * * [simplify]: iters left: 4 (182 enodes) 84.876 * * [simplify]: iters left: 3 (478 enodes) 85.092 * * [simplify]: Extracting #0: cost 1 inf + 0 85.092 * * [simplify]: Extracting #1: cost 56 inf + 0 85.093 * * [simplify]: Extracting #2: cost 300 inf + 1 85.095 * * [simplify]: Extracting #3: cost 412 inf + 187 85.099 * * [simplify]: Extracting #4: cost 327 inf + 23495 85.121 * * [simplify]: Extracting #5: cost 103 inf + 94483 85.149 * * [simplify]: Extracting #6: cost 3 inf + 142611 85.197 * * [simplify]: Extracting #7: cost 0 inf + 142696 85.231 * * [simplify]: Extracting #8: cost 0 inf + 142571 85.288 * [simplify]: Simplified to (+ (- (/ (log (* 2 PI)) (/ 4 (- 1 k))) (log (sqrt k))) (+ (/ (log (* 2 PI)) (/ 4 (- 1 k))) (* (/ (log n) 2) (- 1 k)))) 85.288 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (/ (log (* 2 PI)) (/ 4 (- 1 k))) (log (sqrt k))) (+ (/ (log (* 2 PI)) (/ 4 (- 1 k))) (* (/ (log n) 2) (- 1 k)))))) 85.288 * * * * [progress]: [ 186 / 406 ] simplifiying candidate # 85.288 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 85.289 * * [simplify]: iters left: 6 (24 enodes) 85.296 * * [simplify]: iters left: 5 (98 enodes) 85.312 * * [simplify]: iters left: 4 (182 enodes) 85.374 * * [simplify]: iters left: 3 (478 enodes) 85.579 * * [simplify]: Extracting #0: cost 1 inf + 0 85.579 * * [simplify]: Extracting #1: cost 56 inf + 0 85.581 * * [simplify]: Extracting #2: cost 300 inf + 1 85.584 * * [simplify]: Extracting #3: cost 412 inf + 187 85.591 * * [simplify]: Extracting #4: cost 327 inf + 23495 85.609 * * [simplify]: Extracting #5: cost 103 inf + 94483 85.646 * * [simplify]: Extracting #6: cost 3 inf + 142611 85.703 * * [simplify]: Extracting #7: cost 0 inf + 142696 85.760 * * [simplify]: Extracting #8: cost 0 inf + 142571 85.820 * [simplify]: Simplified to (+ (- (/ (log (* 2 PI)) (/ 4 (- 1 k))) (log (sqrt k))) (+ (/ (log (* 2 PI)) (/ 4 (- 1 k))) (* (/ (log n) 2) (- 1 k)))) 85.820 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (/ (log (* 2 PI)) (/ 4 (- 1 k))) (log (sqrt k))) (+ (/ (log (* 2 PI)) (/ 4 (- 1 k))) (* (/ (log n) 2) (- 1 k)))))) 85.820 * * * * [progress]: [ 187 / 406 ] simplifiying candidate # 85.820 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 85.820 * * [simplify]: iters left: 6 (24 enodes) 85.827 * * [simplify]: iters left: 5 (99 enodes) 85.844 * * [simplify]: iters left: 4 (185 enodes) 85.907 * * [simplify]: Extracting #0: cost 1 inf + 0 85.907 * * [simplify]: Extracting #1: cost 25 inf + 0 85.907 * * [simplify]: Extracting #2: cost 108 inf + 1 85.907 * * [simplify]: Extracting #3: cost 162 inf + 74 85.908 * * [simplify]: Extracting #4: cost 157 inf + 679 85.910 * * [simplify]: Extracting #5: cost 99 inf + 11717 85.917 * * [simplify]: Extracting #6: cost 13 inf + 42025 85.927 * * [simplify]: Extracting #7: cost 0 inf + 47862 85.943 * [simplify]: Simplified to (+ (+ (* (log (* 2 PI)) (/ (- 1 k) 4)) (* (log (* 2 PI)) (/ (- 1 k) 4))) (- (* (log n) (/ (- 1 k) 2)) (log (sqrt k)))) 85.943 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (* (log (* 2 PI)) (/ (- 1 k) 4)) (* (log (* 2 PI)) (/ (- 1 k) 4))) (- (* (log n) (/ (- 1 k) 2)) (log (sqrt k)))))) 85.944 * * * * [progress]: [ 188 / 406 ] simplifiying candidate # 85.944 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 85.944 * * [simplify]: iters left: 6 (24 enodes) 85.956 * * [simplify]: iters left: 5 (98 enodes) 85.976 * * [simplify]: iters left: 4 (182 enodes) 86.039 * * [simplify]: iters left: 3 (478 enodes) 86.263 * * [simplify]: Extracting #0: cost 1 inf + 0 86.263 * * [simplify]: Extracting #1: cost 56 inf + 0 86.264 * * [simplify]: Extracting #2: cost 300 inf + 1 86.266 * * [simplify]: Extracting #3: cost 412 inf + 187 86.270 * * [simplify]: Extracting #4: cost 327 inf + 23495 86.292 * * [simplify]: Extracting #5: cost 103 inf + 94483 86.320 * * [simplify]: Extracting #6: cost 3 inf + 142611 86.352 * * [simplify]: Extracting #7: cost 0 inf + 142696 86.408 * * [simplify]: Extracting #8: cost 0 inf + 142571 86.466 * [simplify]: Simplified to (+ (- (/ (log (* 2 PI)) (/ 4 (- 1 k))) (log (sqrt k))) (+ (/ (log (* 2 PI)) (/ 4 (- 1 k))) (* (/ (log n) 2) (- 1 k)))) 86.467 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (/ (log (* 2 PI)) (/ 4 (- 1 k))) (log (sqrt k))) (+ (/ (log (* 2 PI)) (/ 4 (- 1 k))) (* (/ (log n) 2) (- 1 k)))))) 86.467 * * * * [progress]: [ 189 / 406 ] simplifiying candidate # 86.467 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 86.468 * * [simplify]: iters left: 6 (24 enodes) 86.484 * * [simplify]: iters left: 5 (98 enodes) 86.507 * * [simplify]: iters left: 4 (182 enodes) 86.573 * * [simplify]: iters left: 3 (478 enodes) 86.765 * * [simplify]: Extracting #0: cost 1 inf + 0 86.765 * * [simplify]: Extracting #1: cost 56 inf + 0 86.767 * * [simplify]: Extracting #2: cost 300 inf + 1 86.770 * * [simplify]: Extracting #3: cost 412 inf + 187 86.777 * * [simplify]: Extracting #4: cost 327 inf + 23495 86.794 * * [simplify]: Extracting #5: cost 103 inf + 94483 86.836 * * [simplify]: Extracting #6: cost 3 inf + 142611 86.893 * * [simplify]: Extracting #7: cost 0 inf + 142696 86.950 * * [simplify]: Extracting #8: cost 0 inf + 142571 87.010 * [simplify]: Simplified to (+ (- (/ (log (* 2 PI)) (/ 4 (- 1 k))) (log (sqrt k))) (+ (/ (log (* 2 PI)) (/ 4 (- 1 k))) (* (/ (log n) 2) (- 1 k)))) 87.010 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (/ (log (* 2 PI)) (/ 4 (- 1 k))) (log (sqrt k))) (+ (/ (log (* 2 PI)) (/ 4 (- 1 k))) (* (/ (log n) 2) (- 1 k)))))) 87.010 * * * * [progress]: [ 190 / 406 ] simplifiying candidate # 87.011 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 87.011 * * [simplify]: iters left: 6 (24 enodes) 87.024 * * [simplify]: iters left: 5 (99 enodes) 87.053 * * [simplify]: iters left: 4 (185 enodes) 87.121 * * [simplify]: Extracting #0: cost 1 inf + 0 87.121 * * [simplify]: Extracting #1: cost 25 inf + 0 87.122 * * [simplify]: Extracting #2: cost 108 inf + 1 87.123 * * [simplify]: Extracting #3: cost 162 inf + 74 87.124 * * [simplify]: Extracting #4: cost 157 inf + 679 87.127 * * [simplify]: Extracting #5: cost 99 inf + 11717 87.141 * * [simplify]: Extracting #6: cost 13 inf + 42025 87.158 * * [simplify]: Extracting #7: cost 0 inf + 47862 87.174 * [simplify]: Simplified to (+ (+ (* (log (* 2 PI)) (/ (- 1 k) 4)) (* (log (* 2 PI)) (/ (- 1 k) 4))) (- (* (log n) (/ (- 1 k) 2)) (log (sqrt k)))) 87.174 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (* (log (* 2 PI)) (/ (- 1 k) 4)) (* (log (* 2 PI)) (/ (- 1 k) 4))) (- (* (log n) (/ (- 1 k) 2)) (log (sqrt k)))))) 87.174 * * * * [progress]: [ 191 / 406 ] simplifiying candidate # 87.175 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log n) (/ (- 1 k) 2))) 87.175 * * [simplify]: iters left: 6 (24 enodes) 87.190 * * [simplify]: iters left: 5 (107 enodes) 87.226 * * [simplify]: iters left: 4 (210 enodes) 87.310 * * [simplify]: Extracting #0: cost 1 inf + 0 87.310 * * [simplify]: Extracting #1: cost 27 inf + 0 87.311 * * [simplify]: Extracting #2: cost 116 inf + 1 87.311 * * [simplify]: Extracting #3: cost 170 inf + 74 87.313 * * [simplify]: Extracting #4: cost 163 inf + 1015 87.316 * * [simplify]: Extracting #5: cost 112 inf + 12032 87.329 * * [simplify]: Extracting #6: cost 15 inf + 48003 87.341 * * [simplify]: Extracting #7: cost 3 inf + 50747 87.350 * * [simplify]: Extracting #8: cost 0 inf + 52155 87.363 * * [simplify]: Extracting #9: cost 0 inf + 52085 87.381 * [simplify]: Simplified to (+ (* (/ (log n) 2) (- 1 k)) (+ (/ (* (log (* 2 PI)) (- 1 k)) 4) (- (/ (* (log (* 2 PI)) (- 1 k)) 4) (log (sqrt k))))) 87.381 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (log n) 2) (- 1 k)) (+ (/ (* (log (* 2 PI)) (- 1 k)) 4) (- (/ (* (log (* 2 PI)) (- 1 k)) 4) (log (sqrt k))))))) 87.381 * * * * [progress]: [ 192 / 406 ] simplifiying candidate # 87.382 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log n) (/ (- 1 k) 2))) 87.382 * * [simplify]: iters left: 6 (24 enodes) 87.395 * * [simplify]: iters left: 5 (107 enodes) 87.421 * * [simplify]: iters left: 4 (210 enodes) 87.506 * * [simplify]: Extracting #0: cost 1 inf + 0 87.506 * * [simplify]: Extracting #1: cost 27 inf + 0 87.506 * * [simplify]: Extracting #2: cost 116 inf + 1 87.507 * * [simplify]: Extracting #3: cost 170 inf + 74 87.507 * * [simplify]: Extracting #4: cost 163 inf + 1015 87.509 * * [simplify]: Extracting #5: cost 112 inf + 12032 87.517 * * [simplify]: Extracting #6: cost 15 inf + 48003 87.528 * * [simplify]: Extracting #7: cost 3 inf + 50747 87.549 * * [simplify]: Extracting #8: cost 0 inf + 52155 87.558 * * [simplify]: Extracting #9: cost 0 inf + 52085 87.568 * [simplify]: Simplified to (+ (* (/ (log n) 2) (- 1 k)) (+ (/ (* (log (* 2 PI)) (- 1 k)) 4) (- (/ (* (log (* 2 PI)) (- 1 k)) 4) (log (sqrt k))))) 87.568 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (log n) 2) (- 1 k)) (+ (/ (* (log (* 2 PI)) (- 1 k)) 4) (- (/ (* (log (* 2 PI)) (- 1 k)) 4) (log (sqrt k))))))) 87.568 * * * * [progress]: [ 193 / 406 ] simplifiying candidate # 87.569 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (log (pow n (/ (- 1 k) 2)))) 87.569 * * [simplify]: iters left: 6 (24 enodes) 87.576 * * [simplify]: iters left: 5 (108 enodes) 87.612 * * [simplify]: iters left: 4 (212 enodes) 87.704 * * [simplify]: Extracting #0: cost 1 inf + 0 87.704 * * [simplify]: Extracting #1: cost 31 inf + 0 87.704 * * [simplify]: Extracting #2: cost 129 inf + 1 87.705 * * [simplify]: Extracting #3: cost 188 inf + 74 87.706 * * [simplify]: Extracting #4: cost 171 inf + 1895 87.708 * * [simplify]: Extracting #5: cost 99 inf + 18540 87.717 * * [simplify]: Extracting #6: cost 16 inf + 49931 87.729 * * [simplify]: Extracting #7: cost 0 inf + 58797 87.746 * [simplify]: Simplified to (+ (- (* (log (* 2 PI)) (/ (- 1 k) 4)) (log (sqrt k))) (+ (* (log (* 2 PI)) (/ (- 1 k) 4)) (* (log n) (/ (- 1 k) 2)))) 87.746 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (log (* 2 PI)) (/ (- 1 k) 4)) (log (sqrt k))) (+ (* (log (* 2 PI)) (/ (- 1 k) 4)) (* (log n) (/ (- 1 k) 2)))))) 87.746 * * * * [progress]: [ 194 / 406 ] simplifiying candidate # 87.746 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 87.746 * * [simplify]: iters left: 6 (24 enodes) 87.754 * * [simplify]: iters left: 5 (98 enodes) 87.770 * * [simplify]: iters left: 4 (175 enodes) 87.814 * * [simplify]: iters left: 3 (445 enodes) 87.989 * * [simplify]: Extracting #0: cost 1 inf + 0 87.989 * * [simplify]: Extracting #1: cost 50 inf + 0 87.990 * * [simplify]: Extracting #2: cost 280 inf + 1 87.996 * * [simplify]: Extracting #3: cost 381 inf + 75 88.000 * * [simplify]: Extracting #4: cost 310 inf + 16894 88.018 * * [simplify]: Extracting #5: cost 100 inf + 78031 88.053 * * [simplify]: Extracting #6: cost 9 inf + 120307 88.083 * * [simplify]: Extracting #7: cost 0 inf + 125497 88.135 * * [simplify]: Extracting #8: cost 0 inf + 125451 88.183 * [simplify]: Simplified to (+ (* (log n) (/ (- 1 k) 2)) (+ (* (log (* PI 2)) (/ (- 1 k) 4)) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k))))) 88.183 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (log n) (/ (- 1 k) 2)) (+ (* (log (* PI 2)) (/ (- 1 k) 4)) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k))))))) 88.183 * * * * [progress]: [ 195 / 406 ] simplifiying candidate # 88.184 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 88.184 * * [simplify]: iters left: 6 (24 enodes) 88.191 * * [simplify]: iters left: 5 (98 enodes) 88.208 * * [simplify]: iters left: 4 (175 enodes) 88.273 * * [simplify]: iters left: 3 (445 enodes) 88.506 * * [simplify]: Extracting #0: cost 1 inf + 0 88.506 * * [simplify]: Extracting #1: cost 50 inf + 0 88.508 * * [simplify]: Extracting #2: cost 280 inf + 1 88.511 * * [simplify]: Extracting #3: cost 381 inf + 75 88.518 * * [simplify]: Extracting #4: cost 310 inf + 16894 88.545 * * [simplify]: Extracting #5: cost 100 inf + 78031 88.592 * * [simplify]: Extracting #6: cost 9 inf + 120307 88.631 * * [simplify]: Extracting #7: cost 0 inf + 125497 88.657 * * [simplify]: Extracting #8: cost 0 inf + 125451 88.683 * [simplify]: Simplified to (+ (* (log n) (/ (- 1 k) 2)) (+ (* (log (* PI 2)) (/ (- 1 k) 4)) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k))))) 88.683 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (log n) (/ (- 1 k) 2)) (+ (* (log (* PI 2)) (/ (- 1 k) 4)) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k))))))) 88.683 * * * * [progress]: [ 196 / 406 ] simplifiying candidate # 88.684 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 88.684 * * [simplify]: iters left: 6 (24 enodes) 88.691 * * [simplify]: iters left: 5 (99 enodes) 88.708 * * [simplify]: iters left: 4 (178 enodes) 88.766 * * [simplify]: iters left: 3 (496 enodes) 88.996 * * [simplify]: Extracting #0: cost 1 inf + 0 88.996 * * [simplify]: Extracting #1: cost 58 inf + 0 88.997 * * [simplify]: Extracting #2: cost 351 inf + 1 88.999 * * [simplify]: Extracting #3: cost 475 inf + 297 89.003 * * [simplify]: Extracting #4: cost 381 inf + 22674 89.034 * * [simplify]: Extracting #5: cost 100 inf + 119225 89.105 * * [simplify]: Extracting #6: cost 7 inf + 163588 89.149 * * [simplify]: Extracting #7: cost 0 inf + 166585 89.195 * [simplify]: Simplified to (+ (- (log (sqrt k))) (+ (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2)))) (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2)))))) 89.195 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (log (sqrt k))) (+ (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2)))) (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2)))))))) 89.195 * * * * [progress]: [ 197 / 406 ] simplifiying candidate # 89.195 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 89.195 * * [simplify]: iters left: 6 (20 enodes) 89.202 * * [simplify]: iters left: 5 (92 enodes) 89.228 * * [simplify]: iters left: 4 (176 enodes) 89.304 * * [simplify]: iters left: 3 (419 enodes) 89.498 * * [simplify]: Extracting #0: cost 1 inf + 0 89.498 * * [simplify]: Extracting #1: cost 56 inf + 0 89.500 * * [simplify]: Extracting #2: cost 265 inf + 1 89.502 * * [simplify]: Extracting #3: cost 354 inf + 75 89.506 * * [simplify]: Extracting #4: cost 334 inf + 4170 89.518 * * [simplify]: Extracting #5: cost 187 inf + 35957 89.537 * * [simplify]: Extracting #6: cost 15 inf + 105412 89.580 * * [simplify]: Extracting #7: cost 0 inf + 112634 89.608 * * [simplify]: Extracting #8: cost 0 inf + 111982 89.634 * * [simplify]: Extracting #9: cost 0 inf + 111861 89.657 * [simplify]: Simplified to (+ (* (/ (- 1 k) 2) (log n)) (+ (/ (- 1 k) (/ 4 (log (* PI 2)))) (- (/ (- 1 k) (/ 4 (log (* PI 2)))) (log (sqrt k))))) 89.657 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 2) (log n)) (+ (/ (- 1 k) (/ 4 (log (* PI 2)))) (- (/ (- 1 k) (/ 4 (log (* PI 2)))) (log (sqrt k))))))) 89.658 * * * * [progress]: [ 198 / 406 ] simplifiying candidate # 89.658 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 89.658 * * [simplify]: iters left: 6 (20 enodes) 89.665 * * [simplify]: iters left: 5 (92 enodes) 89.691 * * [simplify]: iters left: 4 (176 enodes) 89.769 * * [simplify]: iters left: 3 (419 enodes) 89.958 * * [simplify]: Extracting #0: cost 1 inf + 0 89.958 * * [simplify]: Extracting #1: cost 56 inf + 0 89.958 * * [simplify]: Extracting #2: cost 265 inf + 1 89.960 * * [simplify]: Extracting #3: cost 354 inf + 75 89.961 * * [simplify]: Extracting #4: cost 334 inf + 4170 89.967 * * [simplify]: Extracting #5: cost 187 inf + 35957 89.986 * * [simplify]: Extracting #6: cost 15 inf + 105412 90.014 * * [simplify]: Extracting #7: cost 0 inf + 112634 90.062 * * [simplify]: Extracting #8: cost 0 inf + 111982 90.107 * * [simplify]: Extracting #9: cost 0 inf + 111861 90.149 * [simplify]: Simplified to (+ (* (/ (- 1 k) 2) (log n)) (+ (/ (- 1 k) (/ 4 (log (* PI 2)))) (- (/ (- 1 k) (/ 4 (log (* PI 2)))) (log (sqrt k))))) 90.149 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 2) (log n)) (+ (/ (- 1 k) (/ 4 (log (* PI 2)))) (- (/ (- 1 k) (/ 4 (log (* PI 2)))) (log (sqrt k))))))) 90.149 * * * * [progress]: [ 199 / 406 ] simplifiying candidate # 90.149 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 90.149 * * [simplify]: iters left: 6 (20 enodes) 90.155 * * [simplify]: iters left: 5 (93 enodes) 90.173 * * [simplify]: iters left: 4 (179 enodes) 90.230 * * [simplify]: iters left: 3 (470 enodes) 90.426 * * [simplify]: Extracting #0: cost 1 inf + 0 90.426 * * [simplify]: Extracting #1: cost 61 inf + 0 90.427 * * [simplify]: Extracting #2: cost 309 inf + 1 90.429 * * [simplify]: Extracting #3: cost 437 inf + 74 90.434 * * [simplify]: Extracting #4: cost 333 inf + 27971 90.475 * * [simplify]: Extracting #5: cost 50 inf + 132954 90.527 * * [simplify]: Extracting #6: cost 3 inf + 149515 90.574 * * [simplify]: Extracting #7: cost 0 inf + 150992 90.603 * * [simplify]: Extracting #8: cost 0 inf + 150952 90.641 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2)))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2))))) 90.642 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2)))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2))))))) 90.642 * * * * [progress]: [ 200 / 406 ] simplifiying candidate # 90.642 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 90.642 * * [simplify]: iters left: 6 (20 enodes) 90.648 * * [simplify]: iters left: 5 (92 enodes) 90.672 * * [simplify]: iters left: 4 (176 enodes) 90.721 * * [simplify]: iters left: 3 (419 enodes) 90.854 * * [simplify]: Extracting #0: cost 1 inf + 0 90.855 * * [simplify]: Extracting #1: cost 56 inf + 0 90.857 * * [simplify]: Extracting #2: cost 265 inf + 1 90.859 * * [simplify]: Extracting #3: cost 354 inf + 75 90.863 * * [simplify]: Extracting #4: cost 334 inf + 4170 90.875 * * [simplify]: Extracting #5: cost 187 inf + 35957 90.916 * * [simplify]: Extracting #6: cost 15 inf + 105412 90.964 * * [simplify]: Extracting #7: cost 0 inf + 112634 91.011 * * [simplify]: Extracting #8: cost 0 inf + 111982 91.036 * * [simplify]: Extracting #9: cost 0 inf + 111861 91.071 * [simplify]: Simplified to (+ (* (/ (- 1 k) 2) (log n)) (+ (/ (- 1 k) (/ 4 (log (* PI 2)))) (- (/ (- 1 k) (/ 4 (log (* PI 2)))) (log (sqrt k))))) 91.071 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 2) (log n)) (+ (/ (- 1 k) (/ 4 (log (* PI 2)))) (- (/ (- 1 k) (/ 4 (log (* PI 2)))) (log (sqrt k))))))) 91.072 * * * * [progress]: [ 201 / 406 ] simplifiying candidate # 91.072 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 91.072 * * [simplify]: iters left: 6 (20 enodes) 91.078 * * [simplify]: iters left: 5 (92 enodes) 91.096 * * [simplify]: iters left: 4 (176 enodes) 91.160 * * [simplify]: iters left: 3 (419 enodes) 91.315 * * [simplify]: Extracting #0: cost 1 inf + 0 91.315 * * [simplify]: Extracting #1: cost 56 inf + 0 91.317 * * [simplify]: Extracting #2: cost 265 inf + 1 91.319 * * [simplify]: Extracting #3: cost 354 inf + 75 91.323 * * [simplify]: Extracting #4: cost 334 inf + 4170 91.331 * * [simplify]: Extracting #5: cost 187 inf + 35957 91.352 * * [simplify]: Extracting #6: cost 15 inf + 105412 91.394 * * [simplify]: Extracting #7: cost 0 inf + 112634 91.437 * * [simplify]: Extracting #8: cost 0 inf + 111982 91.469 * * [simplify]: Extracting #9: cost 0 inf + 111861 91.493 * [simplify]: Simplified to (+ (* (/ (- 1 k) 2) (log n)) (+ (/ (- 1 k) (/ 4 (log (* PI 2)))) (- (/ (- 1 k) (/ 4 (log (* PI 2)))) (log (sqrt k))))) 91.494 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 2) (log n)) (+ (/ (- 1 k) (/ 4 (log (* PI 2)))) (- (/ (- 1 k) (/ 4 (log (* PI 2)))) (log (sqrt k))))))) 91.494 * * * * [progress]: [ 202 / 406 ] simplifiying candidate # 91.494 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 91.494 * * [simplify]: iters left: 6 (20 enodes) 91.507 * * [simplify]: iters left: 5 (93 enodes) 91.532 * * [simplify]: iters left: 4 (179 enodes) 91.583 * * [simplify]: iters left: 3 (470 enodes) 91.785 * * [simplify]: Extracting #0: cost 1 inf + 0 91.785 * * [simplify]: Extracting #1: cost 61 inf + 0 91.787 * * [simplify]: Extracting #2: cost 309 inf + 1 91.790 * * [simplify]: Extracting #3: cost 437 inf + 74 91.800 * * [simplify]: Extracting #4: cost 333 inf + 27971 91.839 * * [simplify]: Extracting #5: cost 50 inf + 132954 91.881 * * [simplify]: Extracting #6: cost 3 inf + 149515 91.943 * * [simplify]: Extracting #7: cost 0 inf + 150992 91.976 * * [simplify]: Extracting #8: cost 0 inf + 150952 92.022 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2)))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2))))) 92.022 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2)))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2))))))) 92.022 * * * * [progress]: [ 203 / 406 ] simplifiying candidate # 92.022 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log n) (/ (- 1 k) 2))) 92.022 * * [simplify]: iters left: 6 (22 enodes) 92.030 * * [simplify]: iters left: 5 (101 enodes) 92.049 * * [simplify]: iters left: 4 (209 enodes) 92.155 * * [simplify]: Extracting #0: cost 1 inf + 0 92.155 * * [simplify]: Extracting #1: cost 25 inf + 0 92.155 * * [simplify]: Extracting #2: cost 105 inf + 1 92.156 * * [simplify]: Extracting #3: cost 166 inf + 74 92.157 * * [simplify]: Extracting #4: cost 166 inf + 456 92.160 * * [simplify]: Extracting #5: cost 125 inf + 5116 92.168 * * [simplify]: Extracting #6: cost 44 inf + 26589 92.183 * * [simplify]: Extracting #7: cost 7 inf + 43148 92.198 * * [simplify]: Extracting #8: cost 0 inf + 46943 92.207 * [simplify]: Simplified to (+ (+ (/ (* (log (* PI 2)) (- 1 k)) 4) (- (/ (* (log (* PI 2)) (- 1 k)) 4) (log (sqrt k)))) (* (log n) (/ (- 1 k) 2))) 92.207 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (/ (* (log (* PI 2)) (- 1 k)) 4) (- (/ (* (log (* PI 2)) (- 1 k)) 4) (log (sqrt k)))) (* (log n) (/ (- 1 k) 2))))) 92.207 * * * * [progress]: [ 204 / 406 ] simplifiying candidate # 92.207 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log n) (/ (- 1 k) 2))) 92.208 * * [simplify]: iters left: 6 (22 enodes) 92.215 * * [simplify]: iters left: 5 (101 enodes) 92.232 * * [simplify]: iters left: 4 (209 enodes) 92.299 * * [simplify]: Extracting #0: cost 1 inf + 0 92.299 * * [simplify]: Extracting #1: cost 25 inf + 0 92.300 * * [simplify]: Extracting #2: cost 105 inf + 1 92.300 * * [simplify]: Extracting #3: cost 166 inf + 74 92.301 * * [simplify]: Extracting #4: cost 166 inf + 456 92.302 * * [simplify]: Extracting #5: cost 125 inf + 5116 92.306 * * [simplify]: Extracting #6: cost 44 inf + 26589 92.313 * * [simplify]: Extracting #7: cost 7 inf + 43148 92.321 * * [simplify]: Extracting #8: cost 0 inf + 46943 92.338 * [simplify]: Simplified to (+ (+ (/ (* (log (* PI 2)) (- 1 k)) 4) (- (/ (* (log (* PI 2)) (- 1 k)) 4) (log (sqrt k)))) (* (log n) (/ (- 1 k) 2))) 92.338 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (/ (* (log (* PI 2)) (- 1 k)) 4) (- (/ (* (log (* PI 2)) (- 1 k)) 4) (log (sqrt k)))) (* (log n) (/ (- 1 k) 2))))) 92.338 * * * * [progress]: [ 205 / 406 ] simplifiying candidate # 92.339 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (log (pow n (/ (- 1 k) 2)))) 92.339 * * [simplify]: iters left: 6 (22 enodes) 92.352 * * [simplify]: iters left: 5 (102 enodes) 92.384 * * [simplify]: iters left: 4 (211 enodes) 92.452 * * [simplify]: Extracting #0: cost 1 inf + 0 92.452 * * [simplify]: Extracting #1: cost 29 inf + 0 92.452 * * [simplify]: Extracting #2: cost 120 inf + 1 92.453 * * [simplify]: Extracting #3: cost 186 inf + 74 92.454 * * [simplify]: Extracting #4: cost 159 inf + 4956 92.459 * * [simplify]: Extracting #5: cost 56 inf + 30453 92.467 * * [simplify]: Extracting #6: cost 8 inf + 50820 92.476 * * [simplify]: Extracting #7: cost 0 inf + 55127 92.486 * [simplify]: Simplified to (+ (+ (+ (* (log (* PI 2)) (/ (- 1 k) 4)) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k)))) (* (/ (- 1 k) 4) (log n))) (* (/ (- 1 k) 4) (log n))) 92.486 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (+ (* (log (* PI 2)) (/ (- 1 k) 4)) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k)))) (* (/ (- 1 k) 4) (log n))) (* (/ (- 1 k) 4) (log n))))) 92.486 * * * * [progress]: [ 206 / 406 ] simplifiying candidate # 92.487 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 92.487 * * [simplify]: iters left: 6 (24 enodes) 92.499 * * [simplify]: iters left: 5 (98 enodes) 92.529 * * [simplify]: iters left: 4 (175 enodes) 92.601 * * [simplify]: iters left: 3 (445 enodes) 92.753 * * [simplify]: Extracting #0: cost 1 inf + 0 92.754 * * [simplify]: Extracting #1: cost 50 inf + 0 92.754 * * [simplify]: Extracting #2: cost 280 inf + 1 92.756 * * [simplify]: Extracting #3: cost 381 inf + 75 92.759 * * [simplify]: Extracting #4: cost 310 inf + 16894 92.772 * * [simplify]: Extracting #5: cost 100 inf + 78031 92.798 * * [simplify]: Extracting #6: cost 9 inf + 120307 92.824 * * [simplify]: Extracting #7: cost 0 inf + 125497 92.864 * * [simplify]: Extracting #8: cost 0 inf + 125451 92.896 * [simplify]: Simplified to (+ (* (log n) (/ (- 1 k) 2)) (+ (* (log (* PI 2)) (/ (- 1 k) 4)) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k))))) 92.896 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (log n) (/ (- 1 k) 2)) (+ (* (log (* PI 2)) (/ (- 1 k) 4)) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k))))))) 92.897 * * * * [progress]: [ 207 / 406 ] simplifiying candidate # 92.897 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 92.897 * * [simplify]: iters left: 6 (24 enodes) 92.904 * * [simplify]: iters left: 5 (98 enodes) 92.928 * * [simplify]: iters left: 4 (175 enodes) 92.991 * * [simplify]: iters left: 3 (445 enodes) 93.161 * * [simplify]: Extracting #0: cost 1 inf + 0 93.161 * * [simplify]: Extracting #1: cost 50 inf + 0 93.166 * * [simplify]: Extracting #2: cost 280 inf + 1 93.167 * * [simplify]: Extracting #3: cost 381 inf + 75 93.171 * * [simplify]: Extracting #4: cost 310 inf + 16894 93.184 * * [simplify]: Extracting #5: cost 100 inf + 78031 93.220 * * [simplify]: Extracting #6: cost 9 inf + 120307 93.249 * * [simplify]: Extracting #7: cost 0 inf + 125497 93.300 * * [simplify]: Extracting #8: cost 0 inf + 125451 93.331 * [simplify]: Simplified to (+ (* (log n) (/ (- 1 k) 2)) (+ (* (log (* PI 2)) (/ (- 1 k) 4)) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k))))) 93.331 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (log n) (/ (- 1 k) 2)) (+ (* (log (* PI 2)) (/ (- 1 k) 4)) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k))))))) 93.331 * * * * [progress]: [ 208 / 406 ] simplifiying candidate # 93.332 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 93.332 * * [simplify]: iters left: 6 (24 enodes) 93.345 * * [simplify]: iters left: 5 (99 enodes) 93.377 * * [simplify]: iters left: 4 (178 enodes) 93.464 * * [simplify]: iters left: 3 (496 enodes) 93.722 * * [simplify]: Extracting #0: cost 1 inf + 0 93.722 * * [simplify]: Extracting #1: cost 58 inf + 0 93.723 * * [simplify]: Extracting #2: cost 351 inf + 1 93.725 * * [simplify]: Extracting #3: cost 475 inf + 297 93.730 * * [simplify]: Extracting #4: cost 381 inf + 22674 93.749 * * [simplify]: Extracting #5: cost 100 inf + 119225 93.782 * * [simplify]: Extracting #6: cost 7 inf + 163588 93.818 * * [simplify]: Extracting #7: cost 0 inf + 166585 93.881 * [simplify]: Simplified to (+ (- (log (sqrt k))) (+ (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2)))) (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2)))))) 93.881 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (log (sqrt k))) (+ (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2)))) (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2)))))))) 93.881 * * * * [progress]: [ 209 / 406 ] simplifiying candidate # 93.881 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 93.881 * * [simplify]: iters left: 6 (20 enodes) 93.887 * * [simplify]: iters left: 5 (92 enodes) 93.903 * * [simplify]: iters left: 4 (176 enodes) 93.952 * * [simplify]: iters left: 3 (419 enodes) 94.129 * * [simplify]: Extracting #0: cost 1 inf + 0 94.130 * * [simplify]: Extracting #1: cost 56 inf + 0 94.131 * * [simplify]: Extracting #2: cost 265 inf + 1 94.133 * * [simplify]: Extracting #3: cost 354 inf + 75 94.137 * * [simplify]: Extracting #4: cost 334 inf + 4170 94.148 * * [simplify]: Extracting #5: cost 187 inf + 35957 94.184 * * [simplify]: Extracting #6: cost 15 inf + 105412 94.232 * * [simplify]: Extracting #7: cost 0 inf + 112634 94.256 * * [simplify]: Extracting #8: cost 0 inf + 111982 94.297 * * [simplify]: Extracting #9: cost 0 inf + 111861 94.344 * [simplify]: Simplified to (+ (* (/ (- 1 k) 2) (log n)) (+ (/ (- 1 k) (/ 4 (log (* PI 2)))) (- (/ (- 1 k) (/ 4 (log (* PI 2)))) (log (sqrt k))))) 94.344 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 2) (log n)) (+ (/ (- 1 k) (/ 4 (log (* PI 2)))) (- (/ (- 1 k) (/ 4 (log (* PI 2)))) (log (sqrt k))))))) 94.344 * * * * [progress]: [ 210 / 406 ] simplifiying candidate # 94.344 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 94.344 * * [simplify]: iters left: 6 (20 enodes) 94.351 * * [simplify]: iters left: 5 (92 enodes) 94.366 * * [simplify]: iters left: 4 (176 enodes) 94.428 * * [simplify]: iters left: 3 (419 enodes) 94.611 * * [simplify]: Extracting #0: cost 1 inf + 0 94.611 * * [simplify]: Extracting #1: cost 56 inf + 0 94.611 * * [simplify]: Extracting #2: cost 265 inf + 1 94.613 * * [simplify]: Extracting #3: cost 354 inf + 75 94.615 * * [simplify]: Extracting #4: cost 334 inf + 4170 94.625 * * [simplify]: Extracting #5: cost 187 inf + 35957 94.667 * * [simplify]: Extracting #6: cost 15 inf + 105412 94.714 * * [simplify]: Extracting #7: cost 0 inf + 112634 94.760 * * [simplify]: Extracting #8: cost 0 inf + 111982 94.808 * * [simplify]: Extracting #9: cost 0 inf + 111861 94.841 * [simplify]: Simplified to (+ (* (/ (- 1 k) 2) (log n)) (+ (/ (- 1 k) (/ 4 (log (* PI 2)))) (- (/ (- 1 k) (/ 4 (log (* PI 2)))) (log (sqrt k))))) 94.841 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 2) (log n)) (+ (/ (- 1 k) (/ 4 (log (* PI 2)))) (- (/ (- 1 k) (/ 4 (log (* PI 2)))) (log (sqrt k))))))) 94.842 * * * * [progress]: [ 211 / 406 ] simplifiying candidate # 94.842 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 94.842 * * [simplify]: iters left: 6 (20 enodes) 94.848 * * [simplify]: iters left: 5 (93 enodes) 94.868 * * [simplify]: iters left: 4 (179 enodes) 94.921 * * [simplify]: iters left: 3 (470 enodes) 95.131 * * [simplify]: Extracting #0: cost 1 inf + 0 95.131 * * [simplify]: Extracting #1: cost 61 inf + 0 95.133 * * [simplify]: Extracting #2: cost 309 inf + 1 95.136 * * [simplify]: Extracting #3: cost 437 inf + 74 95.146 * * [simplify]: Extracting #4: cost 333 inf + 27971 95.193 * * [simplify]: Extracting #5: cost 50 inf + 132954 95.222 * * [simplify]: Extracting #6: cost 3 inf + 149515 95.272 * * [simplify]: Extracting #7: cost 0 inf + 150992 95.328 * * [simplify]: Extracting #8: cost 0 inf + 150952 95.387 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2)))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2))))) 95.387 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2)))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2))))))) 95.387 * * * * [progress]: [ 212 / 406 ] simplifiying candidate # 95.388 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 95.388 * * [simplify]: iters left: 6 (20 enodes) 95.400 * * [simplify]: iters left: 5 (92 enodes) 95.422 * * [simplify]: iters left: 4 (176 enodes) 95.482 * * [simplify]: iters left: 3 (419 enodes) 95.657 * * [simplify]: Extracting #0: cost 1 inf + 0 95.657 * * [simplify]: Extracting #1: cost 56 inf + 0 95.659 * * [simplify]: Extracting #2: cost 265 inf + 1 95.661 * * [simplify]: Extracting #3: cost 354 inf + 75 95.665 * * [simplify]: Extracting #4: cost 334 inf + 4170 95.671 * * [simplify]: Extracting #5: cost 187 inf + 35957 95.689 * * [simplify]: Extracting #6: cost 15 inf + 105412 95.732 * * [simplify]: Extracting #7: cost 0 inf + 112634 95.760 * * [simplify]: Extracting #8: cost 0 inf + 111982 95.785 * * [simplify]: Extracting #9: cost 0 inf + 111861 95.808 * [simplify]: Simplified to (+ (* (/ (- 1 k) 2) (log n)) (+ (/ (- 1 k) (/ 4 (log (* PI 2)))) (- (/ (- 1 k) (/ 4 (log (* PI 2)))) (log (sqrt k))))) 95.809 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 2) (log n)) (+ (/ (- 1 k) (/ 4 (log (* PI 2)))) (- (/ (- 1 k) (/ 4 (log (* PI 2)))) (log (sqrt k))))))) 95.809 * * * * [progress]: [ 213 / 406 ] simplifiying candidate # 95.809 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 95.809 * * [simplify]: iters left: 6 (20 enodes) 95.817 * * [simplify]: iters left: 5 (92 enodes) 95.833 * * [simplify]: iters left: 4 (176 enodes) 95.901 * * [simplify]: iters left: 3 (419 enodes) 96.094 * * [simplify]: Extracting #0: cost 1 inf + 0 96.094 * * [simplify]: Extracting #1: cost 56 inf + 0 96.095 * * [simplify]: Extracting #2: cost 265 inf + 1 96.096 * * [simplify]: Extracting #3: cost 354 inf + 75 96.098 * * [simplify]: Extracting #4: cost 334 inf + 4170 96.104 * * [simplify]: Extracting #5: cost 187 inf + 35957 96.143 * * [simplify]: Extracting #6: cost 15 inf + 105412 96.188 * * [simplify]: Extracting #7: cost 0 inf + 112634 96.214 * * [simplify]: Extracting #8: cost 0 inf + 111982 96.255 * * [simplify]: Extracting #9: cost 0 inf + 111861 96.299 * [simplify]: Simplified to (+ (* (/ (- 1 k) 2) (log n)) (+ (/ (- 1 k) (/ 4 (log (* PI 2)))) (- (/ (- 1 k) (/ 4 (log (* PI 2)))) (log (sqrt k))))) 96.299 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 2) (log n)) (+ (/ (- 1 k) (/ 4 (log (* PI 2)))) (- (/ (- 1 k) (/ 4 (log (* PI 2)))) (log (sqrt k))))))) 96.299 * * * * [progress]: [ 214 / 406 ] simplifiying candidate # 96.299 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 96.299 * * [simplify]: iters left: 6 (20 enodes) 96.306 * * [simplify]: iters left: 5 (93 enodes) 96.322 * * [simplify]: iters left: 4 (179 enodes) 96.364 * * [simplify]: iters left: 3 (470 enodes) 96.595 * * [simplify]: Extracting #0: cost 1 inf + 0 96.595 * * [simplify]: Extracting #1: cost 61 inf + 0 96.597 * * [simplify]: Extracting #2: cost 309 inf + 1 96.600 * * [simplify]: Extracting #3: cost 437 inf + 74 96.609 * * [simplify]: Extracting #4: cost 333 inf + 27971 96.656 * * [simplify]: Extracting #5: cost 50 inf + 132954 96.696 * * [simplify]: Extracting #6: cost 3 inf + 149515 96.735 * * [simplify]: Extracting #7: cost 0 inf + 150992 96.774 * * [simplify]: Extracting #8: cost 0 inf + 150952 96.811 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2)))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2))))) 96.811 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2)))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2))))))) 96.812 * * * * [progress]: [ 215 / 406 ] simplifiying candidate # 96.812 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log n) (/ (- 1 k) 2))) 96.812 * * [simplify]: iters left: 6 (22 enodes) 96.825 * * [simplify]: iters left: 5 (101 enodes) 96.860 * * [simplify]: iters left: 4 (209 enodes) 96.940 * * [simplify]: Extracting #0: cost 1 inf + 0 96.940 * * [simplify]: Extracting #1: cost 25 inf + 0 96.941 * * [simplify]: Extracting #2: cost 105 inf + 1 96.941 * * [simplify]: Extracting #3: cost 166 inf + 74 96.942 * * [simplify]: Extracting #4: cost 166 inf + 456 96.943 * * [simplify]: Extracting #5: cost 125 inf + 5116 96.950 * * [simplify]: Extracting #6: cost 44 inf + 26589 96.964 * * [simplify]: Extracting #7: cost 7 inf + 43148 96.979 * * [simplify]: Extracting #8: cost 0 inf + 46943 96.991 * [simplify]: Simplified to (+ (+ (/ (* (log (* PI 2)) (- 1 k)) 4) (- (/ (* (log (* PI 2)) (- 1 k)) 4) (log (sqrt k)))) (* (log n) (/ (- 1 k) 2))) 96.991 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (/ (* (log (* PI 2)) (- 1 k)) 4) (- (/ (* (log (* PI 2)) (- 1 k)) 4) (log (sqrt k)))) (* (log n) (/ (- 1 k) 2))))) 96.991 * * * * [progress]: [ 216 / 406 ] simplifiying candidate # 96.991 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log n) (/ (- 1 k) 2))) 96.991 * * [simplify]: iters left: 6 (22 enodes) 96.998 * * [simplify]: iters left: 5 (101 enodes) 97.021 * * [simplify]: iters left: 4 (209 enodes) 97.126 * * [simplify]: Extracting #0: cost 1 inf + 0 97.126 * * [simplify]: Extracting #1: cost 25 inf + 0 97.127 * * [simplify]: Extracting #2: cost 105 inf + 1 97.128 * * [simplify]: Extracting #3: cost 166 inf + 74 97.129 * * [simplify]: Extracting #4: cost 166 inf + 456 97.131 * * [simplify]: Extracting #5: cost 125 inf + 5116 97.139 * * [simplify]: Extracting #6: cost 44 inf + 26589 97.153 * * [simplify]: Extracting #7: cost 7 inf + 43148 97.162 * * [simplify]: Extracting #8: cost 0 inf + 46943 97.170 * [simplify]: Simplified to (+ (+ (/ (* (log (* PI 2)) (- 1 k)) 4) (- (/ (* (log (* PI 2)) (- 1 k)) 4) (log (sqrt k)))) (* (log n) (/ (- 1 k) 2))) 97.170 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (/ (* (log (* PI 2)) (- 1 k)) 4) (- (/ (* (log (* PI 2)) (- 1 k)) 4) (log (sqrt k)))) (* (log n) (/ (- 1 k) 2))))) 97.170 * * * * [progress]: [ 217 / 406 ] simplifiying candidate # 97.170 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (log (pow n (/ (- 1 k) 2)))) 97.171 * * [simplify]: iters left: 6 (22 enodes) 97.177 * * [simplify]: iters left: 5 (102 enodes) 97.209 * * [simplify]: iters left: 4 (211 enodes) 97.293 * * [simplify]: Extracting #0: cost 1 inf + 0 97.294 * * [simplify]: Extracting #1: cost 29 inf + 0 97.294 * * [simplify]: Extracting #2: cost 120 inf + 1 97.295 * * [simplify]: Extracting #3: cost 186 inf + 74 97.297 * * [simplify]: Extracting #4: cost 159 inf + 4956 97.307 * * [simplify]: Extracting #5: cost 56 inf + 30453 97.318 * * [simplify]: Extracting #6: cost 8 inf + 50820 97.330 * * [simplify]: Extracting #7: cost 0 inf + 55127 97.339 * [simplify]: Simplified to (+ (+ (+ (* (log (* PI 2)) (/ (- 1 k) 4)) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k)))) (* (/ (- 1 k) 4) (log n))) (* (/ (- 1 k) 4) (log n))) 97.339 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (+ (* (log (* PI 2)) (/ (- 1 k) 4)) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k)))) (* (/ (- 1 k) 4) (log n))) (* (/ (- 1 k) 4) (log n))))) 97.339 * * * * [progress]: [ 218 / 406 ] simplifiying candidate # 97.340 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 97.340 * * [simplify]: iters left: 6 (24 enodes) 97.354 * * [simplify]: iters left: 5 (107 enodes) 97.379 * * [simplify]: iters left: 4 (204 enodes) 97.473 * * [simplify]: Extracting #0: cost 1 inf + 0 97.473 * * [simplify]: Extracting #1: cost 25 inf + 0 97.474 * * [simplify]: Extracting #2: cost 114 inf + 1 97.475 * * [simplify]: Extracting #3: cost 169 inf + 3 97.476 * * [simplify]: Extracting #4: cost 164 inf + 703 97.479 * * [simplify]: Extracting #5: cost 121 inf + 9009 97.489 * * [simplify]: Extracting #6: cost 28 inf + 36490 97.507 * * [simplify]: Extracting #7: cost 0 inf + 52164 97.525 * [simplify]: Simplified to (+ (+ (* (- 1/4 (/ k 4)) (log (* PI 2))) (* (- 1/4 (/ k 4)) (log (* PI 2)))) (- (* (- 1/2 (/ k 2)) (log n)) (log (sqrt k)))) 97.525 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (* (- 1/4 (/ k 4)) (log (* PI 2))) (* (- 1/4 (/ k 4)) (log (* PI 2)))) (- (* (- 1/2 (/ k 2)) (log n)) (log (sqrt k)))))) 97.526 * * * * [progress]: [ 219 / 406 ] simplifiying candidate # 97.526 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 97.526 * * [simplify]: iters left: 6 (24 enodes) 97.540 * * [simplify]: iters left: 5 (107 enodes) 97.582 * * [simplify]: iters left: 4 (204 enodes) 97.685 * * [simplify]: Extracting #0: cost 1 inf + 0 97.685 * * [simplify]: Extracting #1: cost 25 inf + 0 97.686 * * [simplify]: Extracting #2: cost 114 inf + 1 97.686 * * [simplify]: Extracting #3: cost 169 inf + 3 97.688 * * [simplify]: Extracting #4: cost 164 inf + 703 97.690 * * [simplify]: Extracting #5: cost 121 inf + 9009 97.701 * * [simplify]: Extracting #6: cost 28 inf + 36490 97.722 * * [simplify]: Extracting #7: cost 0 inf + 52164 97.741 * [simplify]: Simplified to (+ (+ (* (- 1/4 (/ k 4)) (log (* PI 2))) (* (- 1/4 (/ k 4)) (log (* PI 2)))) (- (* (- 1/2 (/ k 2)) (log n)) (log (sqrt k)))) 97.741 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (* (- 1/4 (/ k 4)) (log (* PI 2))) (* (- 1/4 (/ k 4)) (log (* PI 2)))) (- (* (- 1/2 (/ k 2)) (log n)) (log (sqrt k)))))) 97.741 * * * * [progress]: [ 220 / 406 ] simplifiying candidate # 97.741 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 97.742 * * [simplify]: iters left: 6 (24 enodes) 97.755 * * [simplify]: iters left: 5 (108 enodes) 97.787 * * [simplify]: iters left: 4 (206 enodes) 97.871 * * [simplify]: Extracting #0: cost 1 inf + 0 97.871 * * [simplify]: Extracting #1: cost 28 inf + 0 97.872 * * [simplify]: Extracting #2: cost 126 inf + 1 97.873 * * [simplify]: Extracting #3: cost 187 inf + 3 97.874 * * [simplify]: Extracting #4: cost 161 inf + 4157 97.879 * * [simplify]: Extracting #5: cost 51 inf + 35433 97.888 * * [simplify]: Extracting #6: cost 1 inf + 57661 97.898 * * [simplify]: Extracting #7: cost 0 inf + 57866 97.911 * [simplify]: Simplified to (+ (+ (* (/ (- 1 k) 4) (log n)) (+ (* (/ (- 1 k) 4) (log n)) (* (/ (- 1 k) 4) (log (* PI 2))))) (- (* (/ (- 1 k) 4) (log (* PI 2))) (log (sqrt k)))) 97.911 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (* (/ (- 1 k) 4) (log n)) (+ (* (/ (- 1 k) 4) (log n)) (* (/ (- 1 k) 4) (log (* PI 2))))) (- (* (/ (- 1 k) 4) (log (* PI 2))) (log (sqrt k)))))) 97.911 * * * * [progress]: [ 221 / 406 ] simplifiying candidate # 97.912 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 97.912 * * [simplify]: iters left: 6 (22 enodes) 97.925 * * [simplify]: iters left: 5 (101 enodes) 97.963 * * [simplify]: iters left: 4 (202 enodes) 98.046 * * [simplify]: Extracting #0: cost 1 inf + 0 98.046 * * [simplify]: Extracting #1: cost 24 inf + 0 98.046 * * [simplify]: Extracting #2: cost 105 inf + 1 98.047 * * [simplify]: Extracting #3: cost 167 inf + 74 98.047 * * [simplify]: Extracting #4: cost 165 inf + 539 98.050 * * [simplify]: Extracting #5: cost 90 inf + 14986 98.058 * * [simplify]: Extracting #6: cost 12 inf + 42458 98.068 * * [simplify]: Extracting #7: cost 0 inf + 46937 98.082 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (log (* PI 2))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* PI 2))))) (* (/ (- 1 k) 2) (log n))) 98.083 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (log (* PI 2))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* PI 2))))) (* (/ (- 1 k) 2) (log n))))) 98.083 * * * * [progress]: [ 222 / 406 ] simplifiying candidate # 98.083 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 98.083 * * [simplify]: iters left: 6 (22 enodes) 98.090 * * [simplify]: iters left: 5 (101 enodes) 98.107 * * [simplify]: iters left: 4 (202 enodes) 98.182 * * [simplify]: Extracting #0: cost 1 inf + 0 98.182 * * [simplify]: Extracting #1: cost 24 inf + 0 98.182 * * [simplify]: Extracting #2: cost 105 inf + 1 98.183 * * [simplify]: Extracting #3: cost 167 inf + 74 98.183 * * [simplify]: Extracting #4: cost 165 inf + 539 98.187 * * [simplify]: Extracting #5: cost 90 inf + 14986 98.200 * * [simplify]: Extracting #6: cost 12 inf + 42458 98.212 * * [simplify]: Extracting #7: cost 0 inf + 46937 98.220 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (log (* PI 2))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* PI 2))))) (* (/ (- 1 k) 2) (log n))) 98.220 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (log (* PI 2))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* PI 2))))) (* (/ (- 1 k) 2) (log n))))) 98.220 * * * * [progress]: [ 223 / 406 ] simplifiying candidate # 98.221 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 98.221 * * [simplify]: iters left: 6 (22 enodes) 98.228 * * [simplify]: iters left: 5 (102 enodes) 98.253 * * [simplify]: iters left: 4 (204 enodes) 98.321 * * [simplify]: Extracting #0: cost 1 inf + 0 98.321 * * [simplify]: Extracting #1: cost 28 inf + 0 98.321 * * [simplify]: Extracting #2: cost 119 inf + 1 98.321 * * [simplify]: Extracting #3: cost 186 inf + 74 98.322 * * [simplify]: Extracting #4: cost 159 inf + 4429 98.327 * * [simplify]: Extracting #5: cost 57 inf + 35709 98.336 * * [simplify]: Extracting #6: cost 6 inf + 55286 98.346 * * [simplify]: Extracting #7: cost 0 inf + 55057 98.357 * [simplify]: Simplified to (+ (+ (* (/ (- 1 k) 4) (log (* PI 2))) (- (* (/ (- 1 k) 4) (log (* PI 2))) (log (sqrt k)))) (/ (* (log n) (- 1 k)) 2)) 98.357 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (* (/ (- 1 k) 4) (log (* PI 2))) (- (* (/ (- 1 k) 4) (log (* PI 2))) (log (sqrt k)))) (/ (* (log n) (- 1 k)) 2)))) 98.357 * * * * [progress]: [ 224 / 406 ] simplifiying candidate # 98.357 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 98.357 * * [simplify]: iters left: 6 (22 enodes) 98.367 * * [simplify]: iters left: 5 (101 enodes) 98.399 * * [simplify]: iters left: 4 (202 enodes) 98.476 * * [simplify]: Extracting #0: cost 1 inf + 0 98.476 * * [simplify]: Extracting #1: cost 24 inf + 0 98.476 * * [simplify]: Extracting #2: cost 105 inf + 1 98.477 * * [simplify]: Extracting #3: cost 167 inf + 74 98.478 * * [simplify]: Extracting #4: cost 165 inf + 539 98.480 * * [simplify]: Extracting #5: cost 90 inf + 14986 98.486 * * [simplify]: Extracting #6: cost 12 inf + 42458 98.500 * * [simplify]: Extracting #7: cost 0 inf + 46937 98.516 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (log (* PI 2))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* PI 2))))) (* (/ (- 1 k) 2) (log n))) 98.516 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (log (* PI 2))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* PI 2))))) (* (/ (- 1 k) 2) (log n))))) 98.516 * * * * [progress]: [ 225 / 406 ] simplifiying candidate # 98.517 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 98.517 * * [simplify]: iters left: 6 (22 enodes) 98.530 * * [simplify]: iters left: 5 (101 enodes) 98.559 * * [simplify]: iters left: 4 (202 enodes) 98.642 * * [simplify]: Extracting #0: cost 1 inf + 0 98.642 * * [simplify]: Extracting #1: cost 24 inf + 0 98.643 * * [simplify]: Extracting #2: cost 105 inf + 1 98.644 * * [simplify]: Extracting #3: cost 167 inf + 74 98.645 * * [simplify]: Extracting #4: cost 165 inf + 539 98.649 * * [simplify]: Extracting #5: cost 90 inf + 14986 98.662 * * [simplify]: Extracting #6: cost 12 inf + 42458 98.679 * * [simplify]: Extracting #7: cost 0 inf + 46937 98.694 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (log (* PI 2))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* PI 2))))) (* (/ (- 1 k) 2) (log n))) 98.694 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (log (* PI 2))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* PI 2))))) (* (/ (- 1 k) 2) (log n))))) 98.694 * * * * [progress]: [ 226 / 406 ] simplifiying candidate # 98.695 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 98.695 * * [simplify]: iters left: 6 (22 enodes) 98.702 * * [simplify]: iters left: 5 (102 enodes) 98.722 * * [simplify]: iters left: 4 (204 enodes) 98.788 * * [simplify]: Extracting #0: cost 1 inf + 0 98.788 * * [simplify]: Extracting #1: cost 28 inf + 0 98.789 * * [simplify]: Extracting #2: cost 119 inf + 1 98.790 * * [simplify]: Extracting #3: cost 186 inf + 74 98.792 * * [simplify]: Extracting #4: cost 159 inf + 4429 98.806 * * [simplify]: Extracting #5: cost 57 inf + 35709 98.818 * * [simplify]: Extracting #6: cost 6 inf + 55286 98.827 * * [simplify]: Extracting #7: cost 0 inf + 55057 98.836 * [simplify]: Simplified to (+ (+ (* (/ (- 1 k) 4) (log (* PI 2))) (- (* (/ (- 1 k) 4) (log (* PI 2))) (log (sqrt k)))) (/ (* (log n) (- 1 k)) 2)) 98.836 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (* (/ (- 1 k) 4) (log (* PI 2))) (- (* (/ (- 1 k) 4) (log (* PI 2))) (log (sqrt k)))) (/ (* (log n) (- 1 k)) 2)))) 98.836 * * * * [progress]: [ 227 / 406 ] simplifiying candidate # 98.836 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log n) (/ (- 1 k) 2))) 98.836 * * [simplify]: iters left: 6 (20 enodes) 98.842 * * [simplify]: iters left: 5 (91 enodes) 98.867 * * [simplify]: iters left: 4 (179 enodes) 98.915 * * [simplify]: iters left: 3 (420 enodes) 99.181 * * [simplify]: Extracting #0: cost 1 inf + 0 99.181 * * [simplify]: Extracting #1: cost 43 inf + 0 99.183 * * [simplify]: Extracting #2: cost 290 inf + 1 99.186 * * [simplify]: Extracting #3: cost 406 inf + 76 99.192 * * [simplify]: Extracting #4: cost 350 inf + 16828 99.222 * * [simplify]: Extracting #5: cost 108 inf + 81365 99.267 * * [simplify]: Extracting #6: cost 9 inf + 122942 99.300 * * [simplify]: Extracting #7: cost 0 inf + 127127 99.344 * * [simplify]: Extracting #8: cost 0 inf + 127080 99.396 * [simplify]: Simplified to (+ (/ (log n) (/ 2 (- 1 k))) (+ (* (/ (- 1 k) 4) (log (* PI 2))) (- (* (/ (- 1 k) 4) (log (* PI 2))) (log (sqrt k))))) 99.396 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (/ (log n) (/ 2 (- 1 k))) (+ (* (/ (- 1 k) 4) (log (* PI 2))) (- (* (/ (- 1 k) 4) (log (* PI 2))) (log (sqrt k))))))) 99.397 * * * * [progress]: [ 228 / 406 ] simplifiying candidate # 99.397 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log n) (/ (- 1 k) 2))) 99.397 * * [simplify]: iters left: 6 (20 enodes) 99.409 * * [simplify]: iters left: 5 (91 enodes) 99.440 * * [simplify]: iters left: 4 (179 enodes) 99.515 * * [simplify]: iters left: 3 (420 enodes) 99.725 * * [simplify]: Extracting #0: cost 1 inf + 0 99.725 * * [simplify]: Extracting #1: cost 43 inf + 0 99.727 * * [simplify]: Extracting #2: cost 290 inf + 1 99.730 * * [simplify]: Extracting #3: cost 406 inf + 76 99.736 * * [simplify]: Extracting #4: cost 350 inf + 16828 99.768 * * [simplify]: Extracting #5: cost 108 inf + 81365 99.795 * * [simplify]: Extracting #6: cost 9 inf + 122942 99.831 * * [simplify]: Extracting #7: cost 0 inf + 127127 99.861 * * [simplify]: Extracting #8: cost 0 inf + 127080 99.893 * [simplify]: Simplified to (+ (/ (log n) (/ 2 (- 1 k))) (+ (* (/ (- 1 k) 4) (log (* PI 2))) (- (* (/ (- 1 k) 4) (log (* PI 2))) (log (sqrt k))))) 99.893 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (/ (log n) (/ 2 (- 1 k))) (+ (* (/ (- 1 k) 4) (log (* PI 2))) (- (* (/ (- 1 k) 4) (log (* PI 2))) (log (sqrt k))))))) 99.893 * * * * [progress]: [ 229 / 406 ] simplifiying candidate # 99.893 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (log (pow n (/ (- 1 k) 2)))) 99.894 * * [simplify]: iters left: 6 (20 enodes) 99.900 * * [simplify]: iters left: 5 (92 enodes) 99.916 * * [simplify]: iters left: 4 (178 enodes) 99.972 * * [simplify]: iters left: 3 (449 enodes) 100.245 * * [simplify]: Extracting #0: cost 1 inf + 0 100.245 * * [simplify]: Extracting #1: cost 49 inf + 0 100.247 * * [simplify]: Extracting #2: cost 326 inf + 1 100.250 * * [simplify]: Extracting #3: cost 473 inf + 74 100.257 * * [simplify]: Extracting #4: cost 401 inf + 16542 100.287 * * [simplify]: Extracting #5: cost 119 inf + 103300 100.350 * * [simplify]: Extracting #6: cost 4 inf + 157852 100.383 * * [simplify]: Extracting #7: cost 0 inf + 159587 100.427 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (+ (log (* PI 2)) (log n))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log (* PI 2)) (log n)))) 100.427 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (+ (log (* PI 2)) (log n))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log (* PI 2)) (log n)))))) 100.427 * * * * [progress]: [ 230 / 406 ] simplifiying candidate # 100.428 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 100.428 * * [simplify]: iters left: 6 (20 enodes) 100.434 * * [simplify]: iters left: 5 (89 enodes) 100.451 * * [simplify]: iters left: 4 (161 enodes) 100.496 * * [simplify]: iters left: 3 (363 enodes) 100.601 * * [simplify]: Extracting #0: cost 1 inf + 0 100.601 * * [simplify]: Extracting #1: cost 55 inf + 0 100.602 * * [simplify]: Extracting #2: cost 236 inf + 1 100.603 * * [simplify]: Extracting #3: cost 293 inf + 298 100.613 * * [simplify]: Extracting #4: cost 240 inf + 12720 100.635 * * [simplify]: Extracting #5: cost 68 inf + 70211 100.672 * * [simplify]: Extracting #6: cost 3 inf + 102070 100.712 * * [simplify]: Extracting #7: cost 0 inf + 104068 100.750 * [simplify]: Simplified to (+ (* (/ (- 1 k) 2) (log n)) (+ (* (+ (log PI) (log 2)) (/ (- 1 k) 4)) (- (* (+ (log PI) (log 2)) (/ (- 1 k) 4)) (log (sqrt k))))) 100.750 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 2) (log n)) (+ (* (+ (log PI) (log 2)) (/ (- 1 k) 4)) (- (* (+ (log PI) (log 2)) (/ (- 1 k) 4)) (log (sqrt k))))))) 100.750 * * * * [progress]: [ 231 / 406 ] simplifiying candidate # 100.750 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 100.751 * * [simplify]: iters left: 6 (20 enodes) 100.760 * * [simplify]: iters left: 5 (89 enodes) 100.778 * * [simplify]: iters left: 4 (161 enodes) 100.822 * * [simplify]: iters left: 3 (363 enodes) 100.948 * * [simplify]: Extracting #0: cost 1 inf + 0 100.948 * * [simplify]: Extracting #1: cost 55 inf + 0 100.949 * * [simplify]: Extracting #2: cost 236 inf + 1 100.951 * * [simplify]: Extracting #3: cost 293 inf + 298 100.956 * * [simplify]: Extracting #4: cost 240 inf + 12720 100.979 * * [simplify]: Extracting #5: cost 68 inf + 70211 101.016 * * [simplify]: Extracting #6: cost 3 inf + 102070 101.036 * * [simplify]: Extracting #7: cost 0 inf + 104068 101.068 * [simplify]: Simplified to (+ (* (/ (- 1 k) 2) (log n)) (+ (* (+ (log PI) (log 2)) (/ (- 1 k) 4)) (- (* (+ (log PI) (log 2)) (/ (- 1 k) 4)) (log (sqrt k))))) 101.068 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 2) (log n)) (+ (* (+ (log PI) (log 2)) (/ (- 1 k) 4)) (- (* (+ (log PI) (log 2)) (/ (- 1 k) 4)) (log (sqrt k))))))) 101.068 * * * * [progress]: [ 232 / 406 ] simplifiying candidate # 101.069 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 101.069 * * [simplify]: iters left: 6 (20 enodes) 101.081 * * [simplify]: iters left: 5 (90 enodes) 101.111 * * [simplify]: iters left: 4 (164 enodes) 101.165 * * [simplify]: iters left: 3 (410 enodes) 101.346 * * [simplify]: Extracting #0: cost 1 inf + 0 101.346 * * [simplify]: Extracting #1: cost 68 inf + 0 101.347 * * [simplify]: Extracting #2: cost 308 inf + 1 101.348 * * [simplify]: Extracting #3: cost 392 inf + 74 101.352 * * [simplify]: Extracting #4: cost 312 inf + 20869 101.367 * * [simplify]: Extracting #5: cost 78 inf + 105602 101.395 * * [simplify]: Extracting #6: cost 6 inf + 142692 101.426 * * [simplify]: Extracting #7: cost 0 inf + 146052 101.477 * [simplify]: Simplified to (- (+ (* (/ (- 1 k) 4) (+ (log n) (+ (log PI) (log 2)))) (* (/ (- 1 k) 4) (+ (log n) (+ (log PI) (log 2))))) (log (sqrt k))) 101.477 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (/ (- 1 k) 4) (+ (log n) (+ (log PI) (log 2)))) (* (/ (- 1 k) 4) (+ (log n) (+ (log PI) (log 2))))) (log (sqrt k))))) 101.477 * * * * [progress]: [ 233 / 406 ] simplifiying candidate # 101.477 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 101.478 * * [simplify]: iters left: 6 (23 enodes) 101.486 * * [simplify]: iters left: 5 (98 enodes) 101.509 * * [simplify]: iters left: 4 (179 enodes) 101.560 * * [simplify]: iters left: 3 (388 enodes) 101.692 * * [simplify]: Extracting #0: cost 1 inf + 0 101.692 * * [simplify]: Extracting #1: cost 58 inf + 0 101.693 * * [simplify]: Extracting #2: cost 249 inf + 1 101.694 * * [simplify]: Extracting #3: cost 309 inf + 75 101.696 * * [simplify]: Extracting #4: cost 275 inf + 6937 101.703 * * [simplify]: Extracting #5: cost 130 inf + 42819 101.717 * * [simplify]: Extracting #6: cost 32 inf + 86609 101.737 * * [simplify]: Extracting #7: cost 0 inf + 103753 101.765 * * [simplify]: Extracting #8: cost 0 inf + 103546 101.797 * * [simplify]: Extracting #9: cost 0 inf + 103545 101.817 * [simplify]: Simplified to (+ (* (/ (- 1 k) 2) (log n)) (- (* (/ (- 1 k) 4) (+ (log (* PI 2)) (log (* PI 2)))) (log (sqrt k)))) 101.817 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 2) (log n)) (- (* (/ (- 1 k) 4) (+ (log (* PI 2)) (log (* PI 2)))) (log (sqrt k)))))) 101.817 * * * * [progress]: [ 234 / 406 ] simplifiying candidate # 101.817 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 101.818 * * [simplify]: iters left: 6 (23 enodes) 101.824 * * [simplify]: iters left: 5 (98 enodes) 101.842 * * [simplify]: iters left: 4 (179 enodes) 101.885 * * [simplify]: iters left: 3 (388 enodes) 102.028 * * [simplify]: Extracting #0: cost 1 inf + 0 102.028 * * [simplify]: Extracting #1: cost 58 inf + 0 102.029 * * [simplify]: Extracting #2: cost 249 inf + 1 102.033 * * [simplify]: Extracting #3: cost 309 inf + 75 102.035 * * [simplify]: Extracting #4: cost 275 inf + 6937 102.042 * * [simplify]: Extracting #5: cost 130 inf + 42819 102.059 * * [simplify]: Extracting #6: cost 32 inf + 86609 102.098 * * [simplify]: Extracting #7: cost 0 inf + 103753 102.138 * * [simplify]: Extracting #8: cost 0 inf + 103546 102.180 * * [simplify]: Extracting #9: cost 0 inf + 103545 102.220 * [simplify]: Simplified to (+ (* (/ (- 1 k) 2) (log n)) (- (* (/ (- 1 k) 4) (+ (log (* PI 2)) (log (* PI 2)))) (log (sqrt k)))) 102.220 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 2) (log n)) (- (* (/ (- 1 k) 4) (+ (log (* PI 2)) (log (* PI 2)))) (log (sqrt k)))))) 102.220 * * * * [progress]: [ 235 / 406 ] simplifiying candidate # 102.220 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 102.221 * * [simplify]: iters left: 6 (23 enodes) 102.234 * * [simplify]: iters left: 5 (99 enodes) 102.263 * * [simplify]: iters left: 4 (189 enodes) 102.320 * * [simplify]: iters left: 3 (443 enodes) 102.520 * * [simplify]: Extracting #0: cost 1 inf + 0 102.520 * * [simplify]: Extracting #1: cost 67 inf + 0 102.522 * * [simplify]: Extracting #2: cost 319 inf + 1 102.525 * * [simplify]: Extracting #3: cost 403 inf + 185 102.532 * * [simplify]: Extracting #4: cost 338 inf + 16300 102.565 * * [simplify]: Extracting #5: cost 79 inf + 108776 102.602 * * [simplify]: Extracting #6: cost 1 inf + 142187 102.651 * * [simplify]: Extracting #7: cost 0 inf + 141301 102.703 * * [simplify]: Extracting #8: cost 0 inf + 141221 102.742 * [simplify]: Simplified to (- (+ (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2)))) (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2))))) (log (sqrt k))) 102.742 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2)))) (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2))))) (log (sqrt k))))) 102.742 * * * * [progress]: [ 236 / 406 ] simplifiying candidate # 102.742 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 102.742 * * [simplify]: iters left: 6 (23 enodes) 102.752 * * [simplify]: iters left: 5 (98 enodes) 102.786 * * [simplify]: iters left: 4 (179 enodes) 102.851 * * [simplify]: iters left: 3 (388 enodes) 102.956 * * [simplify]: Extracting #0: cost 1 inf + 0 102.957 * * [simplify]: Extracting #1: cost 58 inf + 0 102.957 * * [simplify]: Extracting #2: cost 249 inf + 1 102.958 * * [simplify]: Extracting #3: cost 309 inf + 75 102.960 * * [simplify]: Extracting #4: cost 275 inf + 6937 102.968 * * [simplify]: Extracting #5: cost 130 inf + 42819 102.983 * * [simplify]: Extracting #6: cost 32 inf + 86609 103.002 * * [simplify]: Extracting #7: cost 0 inf + 103753 103.026 * * [simplify]: Extracting #8: cost 0 inf + 103546 103.064 * * [simplify]: Extracting #9: cost 0 inf + 103545 103.105 * [simplify]: Simplified to (+ (* (/ (- 1 k) 2) (log n)) (- (* (/ (- 1 k) 4) (+ (log (* PI 2)) (log (* PI 2)))) (log (sqrt k)))) 103.105 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 2) (log n)) (- (* (/ (- 1 k) 4) (+ (log (* PI 2)) (log (* PI 2)))) (log (sqrt k)))))) 103.105 * * * * [progress]: [ 237 / 406 ] simplifiying candidate # 103.105 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 103.106 * * [simplify]: iters left: 6 (23 enodes) 103.119 * * [simplify]: iters left: 5 (98 enodes) 103.153 * * [simplify]: iters left: 4 (179 enodes) 103.228 * * [simplify]: iters left: 3 (388 enodes) 103.396 * * [simplify]: Extracting #0: cost 1 inf + 0 103.397 * * [simplify]: Extracting #1: cost 58 inf + 0 103.397 * * [simplify]: Extracting #2: cost 249 inf + 1 103.398 * * [simplify]: Extracting #3: cost 309 inf + 75 103.400 * * [simplify]: Extracting #4: cost 275 inf + 6937 103.407 * * [simplify]: Extracting #5: cost 130 inf + 42819 103.422 * * [simplify]: Extracting #6: cost 32 inf + 86609 103.457 * * [simplify]: Extracting #7: cost 0 inf + 103753 103.498 * * [simplify]: Extracting #8: cost 0 inf + 103546 103.522 * * [simplify]: Extracting #9: cost 0 inf + 103545 103.543 * [simplify]: Simplified to (+ (* (/ (- 1 k) 2) (log n)) (- (* (/ (- 1 k) 4) (+ (log (* PI 2)) (log (* PI 2)))) (log (sqrt k)))) 103.543 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 2) (log n)) (- (* (/ (- 1 k) 4) (+ (log (* PI 2)) (log (* PI 2)))) (log (sqrt k)))))) 103.543 * * * * [progress]: [ 238 / 406 ] simplifiying candidate # 103.543 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 103.543 * * [simplify]: iters left: 6 (23 enodes) 103.550 * * [simplify]: iters left: 5 (99 enodes) 103.568 * * [simplify]: iters left: 4 (189 enodes) 103.631 * * [simplify]: iters left: 3 (443 enodes) 103.802 * * [simplify]: Extracting #0: cost 1 inf + 0 103.802 * * [simplify]: Extracting #1: cost 67 inf + 0 103.804 * * [simplify]: Extracting #2: cost 319 inf + 1 103.807 * * [simplify]: Extracting #3: cost 403 inf + 185 103.814 * * [simplify]: Extracting #4: cost 338 inf + 16300 103.835 * * [simplify]: Extracting #5: cost 79 inf + 108776 103.867 * * [simplify]: Extracting #6: cost 1 inf + 142187 103.905 * * [simplify]: Extracting #7: cost 0 inf + 141301 103.931 * * [simplify]: Extracting #8: cost 0 inf + 141221 103.964 * [simplify]: Simplified to (- (+ (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2)))) (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2))))) (log (sqrt k))) 103.964 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2)))) (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2))))) (log (sqrt k))))) 103.964 * * * * [progress]: [ 239 / 406 ] simplifiying candidate # 103.964 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log n) (/ (- 1 k) 2))) 103.964 * * [simplify]: iters left: 6 (23 enodes) 103.972 * * [simplify]: iters left: 5 (104 enodes) 103.999 * * [simplify]: iters left: 4 (198 enodes) 104.080 * * [simplify]: iters left: 3 (472 enodes) 104.297 * * [simplify]: Extracting #0: cost 1 inf + 0 104.298 * * [simplify]: Extracting #1: cost 74 inf + 0 104.300 * * [simplify]: Extracting #2: cost 347 inf + 1 104.303 * * [simplify]: Extracting #3: cost 419 inf + 298 104.310 * * [simplify]: Extracting #4: cost 351 inf + 20705 104.348 * * [simplify]: Extracting #5: cost 64 inf + 128447 104.405 * * [simplify]: Extracting #6: cost 5 inf + 152168 104.441 * * [simplify]: Extracting #7: cost 0 inf + 154018 104.476 * * [simplify]: Extracting #8: cost 0 inf + 153201 104.510 * * [simplify]: Extracting #9: cost 0 inf + 153079 104.560 * [simplify]: Simplified to (+ (+ (- (* (/ (- 1 k) 2) (log n)) (log (sqrt k))) (/ (log (* PI 2)) (/ 4 (- 1 k)))) (/ (log (* PI 2)) (/ 4 (- 1 k)))) 104.560 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (- (* (/ (- 1 k) 2) (log n)) (log (sqrt k))) (/ (log (* PI 2)) (/ 4 (- 1 k)))) (/ (log (* PI 2)) (/ 4 (- 1 k)))))) 104.560 * * * * [progress]: [ 240 / 406 ] simplifiying candidate # 104.560 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log n) (/ (- 1 k) 2))) 104.560 * * [simplify]: iters left: 6 (23 enodes) 104.567 * * [simplify]: iters left: 5 (104 enodes) 104.587 * * [simplify]: iters left: 4 (198 enodes) 104.658 * * [simplify]: iters left: 3 (472 enodes) 104.902 * * [simplify]: Extracting #0: cost 1 inf + 0 104.903 * * [simplify]: Extracting #1: cost 74 inf + 0 104.904 * * [simplify]: Extracting #2: cost 347 inf + 1 104.907 * * [simplify]: Extracting #3: cost 419 inf + 298 104.915 * * [simplify]: Extracting #4: cost 351 inf + 20705 104.953 * * [simplify]: Extracting #5: cost 64 inf + 128447 104.999 * * [simplify]: Extracting #6: cost 5 inf + 152168 105.056 * * [simplify]: Extracting #7: cost 0 inf + 154018 105.089 * * [simplify]: Extracting #8: cost 0 inf + 153201 105.135 * * [simplify]: Extracting #9: cost 0 inf + 153079 105.174 * [simplify]: Simplified to (+ (+ (- (* (/ (- 1 k) 2) (log n)) (log (sqrt k))) (/ (log (* PI 2)) (/ 4 (- 1 k)))) (/ (log (* PI 2)) (/ 4 (- 1 k)))) 105.174 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (- (* (/ (- 1 k) 2) (log n)) (log (sqrt k))) (/ (log (* PI 2)) (/ 4 (- 1 k)))) (/ (log (* PI 2)) (/ 4 (- 1 k)))))) 105.174 * * * * [progress]: [ 241 / 406 ] simplifiying candidate # 105.174 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (log (pow n (/ (- 1 k) 2)))) 105.174 * * [simplify]: iters left: 6 (23 enodes) 105.189 * * [simplify]: iters left: 5 (105 enodes) 105.227 * * [simplify]: iters left: 4 (200 enodes) 105.284 * * [simplify]: Extracting #0: cost 1 inf + 0 105.285 * * [simplify]: Extracting #1: cost 23 inf + 0 105.285 * * [simplify]: Extracting #2: cost 112 inf + 1 105.286 * * [simplify]: Extracting #3: cost 160 inf + 74 105.287 * * [simplify]: Extracting #4: cost 153 inf + 929 105.293 * * [simplify]: Extracting #5: cost 69 inf + 21606 105.306 * * [simplify]: Extracting #6: cost 11 inf + 41838 105.318 * * [simplify]: Extracting #7: cost 0 inf + 46647 105.326 * * [simplify]: Extracting #8: cost 0 inf + 46467 105.334 * [simplify]: Simplified to (+ (/ (- 1 k) (/ 2 (log n))) (+ (* (log (* PI 2)) (/ (- 1 k) 4)) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k))))) 105.334 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (/ (- 1 k) (/ 2 (log n))) (+ (* (log (* PI 2)) (/ (- 1 k) 4)) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k))))))) 105.334 * * * * [progress]: [ 242 / 406 ] simplifiying candidate # 105.334 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 105.334 * * [simplify]: iters left: 6 (23 enodes) 105.342 * * [simplify]: iters left: 5 (95 enodes) 105.371 * * [simplify]: iters left: 4 (165 enodes) 105.408 * * [simplify]: iters left: 3 (358 enodes) 105.559 * * [simplify]: Extracting #0: cost 1 inf + 0 105.559 * * [simplify]: Extracting #1: cost 59 inf + 0 105.559 * * [simplify]: Extracting #2: cost 227 inf + 1 105.560 * * [simplify]: Extracting #3: cost 287 inf + 75 105.563 * * [simplify]: Extracting #4: cost 242 inf + 10546 105.570 * * [simplify]: Extracting #5: cost 119 inf + 38561 105.595 * * [simplify]: Extracting #6: cost 37 inf + 72675 105.615 * * [simplify]: Extracting #7: cost 0 inf + 93032 105.643 * * [simplify]: Extracting #8: cost 0 inf + 93030 105.661 * [simplify]: Simplified to (+ (* (log n) (/ (- 1 k) 2)) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))))) 105.661 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (log n) (/ (- 1 k) 2)) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))))))) 105.661 * * * * [progress]: [ 243 / 406 ] simplifiying candidate # 105.661 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 105.661 * * [simplify]: iters left: 6 (23 enodes) 105.669 * * [simplify]: iters left: 5 (95 enodes) 105.684 * * [simplify]: iters left: 4 (165 enodes) 105.717 * * [simplify]: iters left: 3 (358 enodes) 105.827 * * [simplify]: Extracting #0: cost 1 inf + 0 105.827 * * [simplify]: Extracting #1: cost 59 inf + 0 105.828 * * [simplify]: Extracting #2: cost 227 inf + 1 105.830 * * [simplify]: Extracting #3: cost 287 inf + 75 105.833 * * [simplify]: Extracting #4: cost 242 inf + 10546 105.840 * * [simplify]: Extracting #5: cost 119 inf + 38561 105.852 * * [simplify]: Extracting #6: cost 37 inf + 72675 105.875 * * [simplify]: Extracting #7: cost 0 inf + 93032 105.893 * * [simplify]: Extracting #8: cost 0 inf + 93030 105.928 * [simplify]: Simplified to (+ (* (log n) (/ (- 1 k) 2)) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))))) 105.928 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (log n) (/ (- 1 k) 2)) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))))))) 105.928 * * * * [progress]: [ 244 / 406 ] simplifiying candidate # 105.928 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 105.928 * * [simplify]: iters left: 6 (23 enodes) 105.941 * * [simplify]: iters left: 5 (96 enodes) 105.963 * * [simplify]: iters left: 4 (168 enodes) 105.998 * * [simplify]: iters left: 3 (404 enodes) 106.156 * * [simplify]: Extracting #0: cost 1 inf + 0 106.156 * * [simplify]: Extracting #1: cost 66 inf + 0 106.158 * * [simplify]: Extracting #2: cost 278 inf + 1 106.160 * * [simplify]: Extracting #3: cost 363 inf + 74 106.172 * * [simplify]: Extracting #4: cost 293 inf + 16506 106.192 * * [simplify]: Extracting #5: cost 66 inf + 88653 106.213 * * [simplify]: Extracting #6: cost 2 inf + 120255 106.259 * * [simplify]: Extracting #7: cost 0 inf + 121586 106.297 * [simplify]: Simplified to (- (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) (log (sqrt k))) 106.297 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) (log (sqrt k))))) 106.297 * * * * [progress]: [ 245 / 406 ] simplifiying candidate # 106.298 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 106.298 * * [simplify]: iters left: 6 (19 enodes) 106.305 * * [simplify]: iters left: 5 (89 enodes) 106.322 * * [simplify]: iters left: 4 (164 enodes) 106.357 * * [simplify]: iters left: 3 (331 enodes) 106.454 * * [simplify]: Extracting #0: cost 1 inf + 0 106.455 * * [simplify]: Extracting #1: cost 48 inf + 0 106.456 * * [simplify]: Extracting #2: cost 198 inf + 1 106.457 * * [simplify]: Extracting #3: cost 258 inf + 75 106.461 * * [simplify]: Extracting #4: cost 208 inf + 10101 106.477 * * [simplify]: Extracting #5: cost 92 inf + 39001 106.494 * * [simplify]: Extracting #6: cost 65 inf + 45745 106.521 * * [simplify]: Extracting #7: cost 6 inf + 76286 106.552 * * [simplify]: Extracting #8: cost 0 inf + 79254 106.575 * * [simplify]: Extracting #9: cost 0 inf + 79253 106.591 * [simplify]: Simplified to (+ (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k)))) (/ (- 1 k) (/ 2 (log n)))) 106.591 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k)))) (/ (- 1 k) (/ 2 (log n)))))) 106.591 * * * * [progress]: [ 246 / 406 ] simplifiying candidate # 106.591 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 106.591 * * [simplify]: iters left: 6 (19 enodes) 106.598 * * [simplify]: iters left: 5 (89 enodes) 106.620 * * [simplify]: iters left: 4 (164 enodes) 106.660 * * [simplify]: iters left: 3 (331 enodes) 106.773 * * [simplify]: Extracting #0: cost 1 inf + 0 106.774 * * [simplify]: Extracting #1: cost 48 inf + 0 106.775 * * [simplify]: Extracting #2: cost 198 inf + 1 106.776 * * [simplify]: Extracting #3: cost 258 inf + 75 106.780 * * [simplify]: Extracting #4: cost 208 inf + 10101 106.792 * * [simplify]: Extracting #5: cost 92 inf + 39001 106.807 * * [simplify]: Extracting #6: cost 65 inf + 45745 106.821 * * [simplify]: Extracting #7: cost 6 inf + 76286 106.840 * * [simplify]: Extracting #8: cost 0 inf + 79254 106.859 * * [simplify]: Extracting #9: cost 0 inf + 79253 106.874 * [simplify]: Simplified to (+ (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k)))) (/ (- 1 k) (/ 2 (log n)))) 106.874 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k)))) (/ (- 1 k) (/ 2 (log n)))))) 106.874 * * * * [progress]: [ 247 / 406 ] simplifiying candidate # 106.874 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 106.874 * * [simplify]: iters left: 6 (19 enodes) 106.880 * * [simplify]: iters left: 5 (90 enodes) 106.913 * * [simplify]: iters left: 4 (167 enodes) 106.962 * * [simplify]: iters left: 3 (379 enodes) 107.132 * * [simplify]: Extracting #0: cost 1 inf + 0 107.132 * * [simplify]: Extracting #1: cost 56 inf + 0 107.542 * * [simplify]: Extracting #2: cost 249 inf + 1 107.545 * * [simplify]: Extracting #3: cost 334 inf + 74 107.549 * * [simplify]: Extracting #4: cost 304 inf + 8279 107.563 * * [simplify]: Extracting #5: cost 152 inf + 42857 107.580 * * [simplify]: Extracting #6: cost 24 inf + 97177 107.603 * * [simplify]: Extracting #7: cost 0 inf + 109512 107.637 * * [simplify]: Extracting #8: cost 0 inf + 109311 107.659 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n)))) 107.659 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n)))))) 107.659 * * * * [progress]: [ 248 / 406 ] simplifiying candidate # 107.660 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 107.660 * * [simplify]: iters left: 6 (19 enodes) 107.671 * * [simplify]: iters left: 5 (89 enodes) 107.701 * * [simplify]: iters left: 4 (164 enodes) 107.750 * * [simplify]: iters left: 3 (331 enodes) 107.873 * * [simplify]: Extracting #0: cost 1 inf + 0 107.873 * * [simplify]: Extracting #1: cost 48 inf + 0 107.874 * * [simplify]: Extracting #2: cost 198 inf + 1 107.876 * * [simplify]: Extracting #3: cost 258 inf + 75 107.879 * * [simplify]: Extracting #4: cost 208 inf + 10101 107.892 * * [simplify]: Extracting #5: cost 92 inf + 39001 107.908 * * [simplify]: Extracting #6: cost 65 inf + 45745 107.935 * * [simplify]: Extracting #7: cost 6 inf + 76286 107.953 * * [simplify]: Extracting #8: cost 0 inf + 79254 107.969 * * [simplify]: Extracting #9: cost 0 inf + 79253 108.001 * [simplify]: Simplified to (+ (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k)))) (/ (- 1 k) (/ 2 (log n)))) 108.002 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k)))) (/ (- 1 k) (/ 2 (log n)))))) 108.002 * * * * [progress]: [ 249 / 406 ] simplifiying candidate # 108.002 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 108.002 * * [simplify]: iters left: 6 (19 enodes) 108.010 * * [simplify]: iters left: 5 (89 enodes) 108.026 * * [simplify]: iters left: 4 (164 enodes) 108.074 * * [simplify]: iters left: 3 (331 enodes) 108.173 * * [simplify]: Extracting #0: cost 1 inf + 0 108.173 * * [simplify]: Extracting #1: cost 48 inf + 0 108.174 * * [simplify]: Extracting #2: cost 198 inf + 1 108.176 * * [simplify]: Extracting #3: cost 258 inf + 75 108.180 * * [simplify]: Extracting #4: cost 208 inf + 10101 108.189 * * [simplify]: Extracting #5: cost 92 inf + 39001 108.197 * * [simplify]: Extracting #6: cost 65 inf + 45745 108.214 * * [simplify]: Extracting #7: cost 6 inf + 76286 108.245 * * [simplify]: Extracting #8: cost 0 inf + 79254 108.275 * * [simplify]: Extracting #9: cost 0 inf + 79253 108.306 * [simplify]: Simplified to (+ (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k)))) (/ (- 1 k) (/ 2 (log n)))) 108.306 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k)))) (/ (- 1 k) (/ 2 (log n)))))) 108.306 * * * * [progress]: [ 250 / 406 ] simplifiying candidate # 108.307 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 108.307 * * [simplify]: iters left: 6 (19 enodes) 108.320 * * [simplify]: iters left: 5 (90 enodes) 108.340 * * [simplify]: iters left: 4 (167 enodes) 108.371 * * [simplify]: iters left: 3 (379 enodes) 108.494 * * [simplify]: Extracting #0: cost 1 inf + 0 108.494 * * [simplify]: Extracting #1: cost 56 inf + 0 108.495 * * [simplify]: Extracting #2: cost 249 inf + 1 108.496 * * [simplify]: Extracting #3: cost 334 inf + 74 108.498 * * [simplify]: Extracting #4: cost 304 inf + 8279 108.505 * * [simplify]: Extracting #5: cost 152 inf + 42857 108.521 * * [simplify]: Extracting #6: cost 24 inf + 97177 108.548 * * [simplify]: Extracting #7: cost 0 inf + 109512 108.591 * * [simplify]: Extracting #8: cost 0 inf + 109311 108.620 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n)))) 108.620 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n)))))) 108.620 * * * * [progress]: [ 251 / 406 ] simplifiying candidate # 108.620 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log n) (/ (- 1 k) 2))) 108.621 * * [simplify]: iters left: 6 (21 enodes) 108.627 * * [simplify]: iters left: 5 (98 enodes) 108.658 * * [simplify]: iters left: 4 (197 enodes) 108.714 * * [simplify]: iters left: 3 (448 enodes) 108.866 * * [simplify]: Extracting #0: cost 1 inf + 0 108.867 * * [simplify]: Extracting #1: cost 64 inf + 0 108.868 * * [simplify]: Extracting #2: cost 304 inf + 1 108.871 * * [simplify]: Extracting #3: cost 393 inf + 75 108.878 * * [simplify]: Extracting #4: cost 316 inf + 19437 108.892 * * [simplify]: Extracting #5: cost 119 inf + 74708 108.931 * * [simplify]: Extracting #6: cost 16 inf + 127556 108.962 * * [simplify]: Extracting #7: cost 0 inf + 137053 108.997 * [simplify]: Simplified to (- (/ (- (log n) (* k (log n))) 2) (- (log (sqrt k)) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (* (/ (- 1 k) 4) (log (* 2 PI)))))) 108.997 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log n) (* k (log n))) 2) (- (log (sqrt k)) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (* (/ (- 1 k) 4) (log (* 2 PI)))))))) 108.998 * * * * [progress]: [ 252 / 406 ] simplifiying candidate # 108.998 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log n) (/ (- 1 k) 2))) 108.998 * * [simplify]: iters left: 6 (21 enodes) 109.006 * * [simplify]: iters left: 5 (98 enodes) 109.034 * * [simplify]: iters left: 4 (197 enodes) 109.110 * * [simplify]: iters left: 3 (448 enodes) 109.269 * * [simplify]: Extracting #0: cost 1 inf + 0 109.269 * * [simplify]: Extracting #1: cost 64 inf + 0 109.271 * * [simplify]: Extracting #2: cost 304 inf + 1 109.274 * * [simplify]: Extracting #3: cost 393 inf + 75 109.281 * * [simplify]: Extracting #4: cost 316 inf + 19437 109.308 * * [simplify]: Extracting #5: cost 119 inf + 74708 109.335 * * [simplify]: Extracting #6: cost 16 inf + 127556 109.377 * * [simplify]: Extracting #7: cost 0 inf + 137053 109.406 * [simplify]: Simplified to (- (/ (- (log n) (* k (log n))) 2) (- (log (sqrt k)) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (* (/ (- 1 k) 4) (log (* 2 PI)))))) 109.406 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log n) (* k (log n))) 2) (- (log (sqrt k)) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (* (/ (- 1 k) 4) (log (* 2 PI)))))))) 109.407 * * * * [progress]: [ 253 / 406 ] simplifiying candidate # 109.407 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (log (pow n (/ (- 1 k) 2)))) 109.407 * * [simplify]: iters left: 6 (21 enodes) 109.420 * * [simplify]: iters left: 5 (99 enodes) 109.441 * * [simplify]: iters left: 4 (199 enodes) 109.500 * * [simplify]: iters left: 3 (486 enodes) 109.720 * * [simplify]: Extracting #0: cost 1 inf + 0 109.720 * * [simplify]: Extracting #1: cost 78 inf + 0 109.721 * * [simplify]: Extracting #2: cost 373 inf + 1 109.723 * * [simplify]: Extracting #3: cost 474 inf + 297 109.727 * * [simplify]: Extracting #4: cost 391 inf + 22119 109.753 * * [simplify]: Extracting #5: cost 104 inf + 119889 109.816 * * [simplify]: Extracting #6: cost 6 inf + 169030 109.857 * * [simplify]: Extracting #7: cost 0 inf + 172425 109.891 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) 109.891 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))))) 109.891 * * * * [progress]: [ 254 / 406 ] simplifiying candidate # 109.891 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 109.892 * * [simplify]: iters left: 6 (23 enodes) 109.899 * * [simplify]: iters left: 5 (95 enodes) 109.929 * * [simplify]: iters left: 4 (165 enodes) 109.993 * * [simplify]: iters left: 3 (358 enodes) 110.112 * * [simplify]: Extracting #0: cost 1 inf + 0 110.112 * * [simplify]: Extracting #1: cost 59 inf + 0 110.112 * * [simplify]: Extracting #2: cost 227 inf + 1 110.113 * * [simplify]: Extracting #3: cost 287 inf + 75 110.115 * * [simplify]: Extracting #4: cost 242 inf + 10546 110.122 * * [simplify]: Extracting #5: cost 119 inf + 38561 110.135 * * [simplify]: Extracting #6: cost 37 inf + 72675 110.157 * * [simplify]: Extracting #7: cost 0 inf + 93032 110.191 * * [simplify]: Extracting #8: cost 0 inf + 93030 110.227 * [simplify]: Simplified to (+ (* (log n) (/ (- 1 k) 2)) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))))) 110.227 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (log n) (/ (- 1 k) 2)) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))))))) 110.227 * * * * [progress]: [ 255 / 406 ] simplifiying candidate # 110.227 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 110.228 * * [simplify]: iters left: 6 (23 enodes) 110.235 * * [simplify]: iters left: 5 (95 enodes) 110.250 * * [simplify]: iters left: 4 (165 enodes) 110.298 * * [simplify]: iters left: 3 (358 enodes) 110.398 * * [simplify]: Extracting #0: cost 1 inf + 0 110.398 * * [simplify]: Extracting #1: cost 59 inf + 0 110.398 * * [simplify]: Extracting #2: cost 227 inf + 1 110.399 * * [simplify]: Extracting #3: cost 287 inf + 75 110.403 * * [simplify]: Extracting #4: cost 242 inf + 10546 110.416 * * [simplify]: Extracting #5: cost 119 inf + 38561 110.429 * * [simplify]: Extracting #6: cost 37 inf + 72675 110.449 * * [simplify]: Extracting #7: cost 0 inf + 93032 110.475 * * [simplify]: Extracting #8: cost 0 inf + 93030 110.497 * [simplify]: Simplified to (+ (* (log n) (/ (- 1 k) 2)) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))))) 110.497 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (log n) (/ (- 1 k) 2)) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))))))) 110.497 * * * * [progress]: [ 256 / 406 ] simplifiying candidate # 110.497 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 110.497 * * [simplify]: iters left: 6 (23 enodes) 110.505 * * [simplify]: iters left: 5 (96 enodes) 110.521 * * [simplify]: iters left: 4 (168 enodes) 110.570 * * [simplify]: iters left: 3 (404 enodes) 110.720 * * [simplify]: Extracting #0: cost 1 inf + 0 110.720 * * [simplify]: Extracting #1: cost 66 inf + 0 110.722 * * [simplify]: Extracting #2: cost 278 inf + 1 110.724 * * [simplify]: Extracting #3: cost 363 inf + 74 110.727 * * [simplify]: Extracting #4: cost 293 inf + 16506 110.741 * * [simplify]: Extracting #5: cost 66 inf + 88653 110.773 * * [simplify]: Extracting #6: cost 2 inf + 120255 110.818 * * [simplify]: Extracting #7: cost 0 inf + 121586 110.862 * [simplify]: Simplified to (- (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) (log (sqrt k))) 110.863 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) (log (sqrt k))))) 110.863 * * * * [progress]: [ 257 / 406 ] simplifiying candidate # 110.864 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 110.864 * * [simplify]: iters left: 6 (19 enodes) 110.876 * * [simplify]: iters left: 5 (89 enodes) 110.909 * * [simplify]: iters left: 4 (164 enodes) 110.968 * * [simplify]: iters left: 3 (331 enodes) 111.091 * * [simplify]: Extracting #0: cost 1 inf + 0 111.091 * * [simplify]: Extracting #1: cost 48 inf + 0 111.092 * * [simplify]: Extracting #2: cost 198 inf + 1 111.094 * * [simplify]: Extracting #3: cost 258 inf + 75 111.098 * * [simplify]: Extracting #4: cost 208 inf + 10101 111.109 * * [simplify]: Extracting #5: cost 92 inf + 39001 111.126 * * [simplify]: Extracting #6: cost 65 inf + 45745 111.157 * * [simplify]: Extracting #7: cost 6 inf + 76286 111.188 * * [simplify]: Extracting #8: cost 0 inf + 79254 111.207 * * [simplify]: Extracting #9: cost 0 inf + 79253 111.223 * [simplify]: Simplified to (+ (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k)))) (/ (- 1 k) (/ 2 (log n)))) 111.223 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k)))) (/ (- 1 k) (/ 2 (log n)))))) 111.223 * * * * [progress]: [ 258 / 406 ] simplifiying candidate # 111.223 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 111.223 * * [simplify]: iters left: 6 (19 enodes) 111.229 * * [simplify]: iters left: 5 (89 enodes) 111.245 * * [simplify]: iters left: 4 (164 enodes) 111.284 * * [simplify]: iters left: 3 (331 enodes) 111.387 * * [simplify]: Extracting #0: cost 1 inf + 0 111.387 * * [simplify]: Extracting #1: cost 48 inf + 0 111.388 * * [simplify]: Extracting #2: cost 198 inf + 1 111.390 * * [simplify]: Extracting #3: cost 258 inf + 75 111.393 * * [simplify]: Extracting #4: cost 208 inf + 10101 111.406 * * [simplify]: Extracting #5: cost 92 inf + 39001 111.423 * * [simplify]: Extracting #6: cost 65 inf + 45745 111.450 * * [simplify]: Extracting #7: cost 6 inf + 76286 111.486 * * [simplify]: Extracting #8: cost 0 inf + 79254 111.517 * * [simplify]: Extracting #9: cost 0 inf + 79253 111.548 * [simplify]: Simplified to (+ (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k)))) (/ (- 1 k) (/ 2 (log n)))) 111.548 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k)))) (/ (- 1 k) (/ 2 (log n)))))) 111.548 * * * * [progress]: [ 259 / 406 ] simplifiying candidate # 111.549 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 111.549 * * [simplify]: iters left: 6 (19 enodes) 111.560 * * [simplify]: iters left: 5 (90 enodes) 111.590 * * [simplify]: iters left: 4 (167 enodes) 111.654 * * [simplify]: iters left: 3 (379 enodes) 111.829 * * [simplify]: Extracting #0: cost 1 inf + 0 111.830 * * [simplify]: Extracting #1: cost 56 inf + 0 111.830 * * [simplify]: Extracting #2: cost 249 inf + 1 111.831 * * [simplify]: Extracting #3: cost 334 inf + 74 111.834 * * [simplify]: Extracting #4: cost 304 inf + 8279 111.840 * * [simplify]: Extracting #5: cost 152 inf + 42857 111.870 * * [simplify]: Extracting #6: cost 24 inf + 97177 111.890 * * [simplify]: Extracting #7: cost 0 inf + 109512 111.918 * * [simplify]: Extracting #8: cost 0 inf + 109311 111.938 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n)))) 111.938 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n)))))) 111.938 * * * * [progress]: [ 260 / 406 ] simplifiying candidate # 111.938 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 111.938 * * [simplify]: iters left: 6 (19 enodes) 111.949 * * [simplify]: iters left: 5 (89 enodes) 111.968 * * [simplify]: iters left: 4 (164 enodes) 112.012 * * [simplify]: iters left: 3 (331 enodes) 112.122 * * [simplify]: Extracting #0: cost 1 inf + 0 112.122 * * [simplify]: Extracting #1: cost 48 inf + 0 112.122 * * [simplify]: Extracting #2: cost 198 inf + 1 112.123 * * [simplify]: Extracting #3: cost 258 inf + 75 112.125 * * [simplify]: Extracting #4: cost 208 inf + 10101 112.132 * * [simplify]: Extracting #5: cost 92 inf + 39001 112.144 * * [simplify]: Extracting #6: cost 65 inf + 45745 112.168 * * [simplify]: Extracting #7: cost 6 inf + 76286 112.183 * * [simplify]: Extracting #8: cost 0 inf + 79254 112.204 * * [simplify]: Extracting #9: cost 0 inf + 79253 112.234 * [simplify]: Simplified to (+ (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k)))) (/ (- 1 k) (/ 2 (log n)))) 112.234 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k)))) (/ (- 1 k) (/ 2 (log n)))))) 112.234 * * * * [progress]: [ 261 / 406 ] simplifiying candidate # 112.235 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 112.235 * * [simplify]: iters left: 6 (19 enodes) 112.247 * * [simplify]: iters left: 5 (89 enodes) 112.280 * * [simplify]: iters left: 4 (164 enodes) 112.340 * * [simplify]: iters left: 3 (331 enodes) 112.447 * * [simplify]: Extracting #0: cost 1 inf + 0 112.447 * * [simplify]: Extracting #1: cost 48 inf + 0 112.448 * * [simplify]: Extracting #2: cost 198 inf + 1 112.449 * * [simplify]: Extracting #3: cost 258 inf + 75 112.451 * * [simplify]: Extracting #4: cost 208 inf + 10101 112.457 * * [simplify]: Extracting #5: cost 92 inf + 39001 112.465 * * [simplify]: Extracting #6: cost 65 inf + 45745 112.497 * * [simplify]: Extracting #7: cost 6 inf + 76286 112.527 * * [simplify]: Extracting #8: cost 0 inf + 79254 112.556 * * [simplify]: Extracting #9: cost 0 inf + 79253 112.587 * [simplify]: Simplified to (+ (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k)))) (/ (- 1 k) (/ 2 (log n)))) 112.587 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k)))) (/ (- 1 k) (/ 2 (log n)))))) 112.588 * * * * [progress]: [ 262 / 406 ] simplifiying candidate # 112.588 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 112.588 * * [simplify]: iters left: 6 (19 enodes) 112.599 * * [simplify]: iters left: 5 (90 enodes) 112.627 * * [simplify]: iters left: 4 (167 enodes) 112.662 * * [simplify]: iters left: 3 (379 enodes) 112.801 * * [simplify]: Extracting #0: cost 1 inf + 0 112.801 * * [simplify]: Extracting #1: cost 56 inf + 0 112.802 * * [simplify]: Extracting #2: cost 249 inf + 1 112.803 * * [simplify]: Extracting #3: cost 334 inf + 74 112.805 * * [simplify]: Extracting #4: cost 304 inf + 8279 112.818 * * [simplify]: Extracting #5: cost 152 inf + 42857 112.851 * * [simplify]: Extracting #6: cost 24 inf + 97177 112.889 * * [simplify]: Extracting #7: cost 0 inf + 109512 112.929 * * [simplify]: Extracting #8: cost 0 inf + 109311 112.970 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n)))) 112.970 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n)))))) 112.970 * * * * [progress]: [ 263 / 406 ] simplifiying candidate # 112.971 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log n) (/ (- 1 k) 2))) 112.971 * * [simplify]: iters left: 6 (21 enodes) 112.984 * * [simplify]: iters left: 5 (98 enodes) 113.016 * * [simplify]: iters left: 4 (197 enodes) 113.095 * * [simplify]: iters left: 3 (448 enodes) 113.309 * * [simplify]: Extracting #0: cost 1 inf + 0 113.309 * * [simplify]: Extracting #1: cost 64 inf + 0 113.310 * * [simplify]: Extracting #2: cost 304 inf + 1 113.313 * * [simplify]: Extracting #3: cost 393 inf + 75 113.321 * * [simplify]: Extracting #4: cost 316 inf + 19437 113.353 * * [simplify]: Extracting #5: cost 119 inf + 74708 113.398 * * [simplify]: Extracting #6: cost 16 inf + 127556 113.432 * * [simplify]: Extracting #7: cost 0 inf + 137053 113.474 * [simplify]: Simplified to (- (/ (- (log n) (* k (log n))) 2) (- (log (sqrt k)) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (* (/ (- 1 k) 4) (log (* 2 PI)))))) 113.474 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log n) (* k (log n))) 2) (- (log (sqrt k)) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (* (/ (- 1 k) 4) (log (* 2 PI)))))))) 113.474 * * * * [progress]: [ 264 / 406 ] simplifiying candidate # 113.474 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log n) (/ (- 1 k) 2))) 113.475 * * [simplify]: iters left: 6 (21 enodes) 113.487 * * [simplify]: iters left: 5 (98 enodes) 113.519 * * [simplify]: iters left: 4 (197 enodes) 113.601 * * [simplify]: iters left: 3 (448 enodes) 113.837 * * [simplify]: Extracting #0: cost 1 inf + 0 113.838 * * [simplify]: Extracting #1: cost 64 inf + 0 113.839 * * [simplify]: Extracting #2: cost 304 inf + 1 113.842 * * [simplify]: Extracting #3: cost 393 inf + 75 113.855 * * [simplify]: Extracting #4: cost 316 inf + 19437 113.881 * * [simplify]: Extracting #5: cost 119 inf + 74708 113.924 * * [simplify]: Extracting #6: cost 16 inf + 127556 113.950 * * [simplify]: Extracting #7: cost 0 inf + 137053 113.989 * [simplify]: Simplified to (- (/ (- (log n) (* k (log n))) 2) (- (log (sqrt k)) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (* (/ (- 1 k) 4) (log (* 2 PI)))))) 113.989 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log n) (* k (log n))) 2) (- (log (sqrt k)) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (* (/ (- 1 k) 4) (log (* 2 PI)))))))) 113.989 * * * * [progress]: [ 265 / 406 ] simplifiying candidate # 113.989 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (log (pow n (/ (- 1 k) 2)))) 113.989 * * [simplify]: iters left: 6 (21 enodes) 113.996 * * [simplify]: iters left: 5 (99 enodes) 114.013 * * [simplify]: iters left: 4 (199 enodes) 114.086 * * [simplify]: iters left: 3 (486 enodes) 114.342 * * [simplify]: Extracting #0: cost 1 inf + 0 114.342 * * [simplify]: Extracting #1: cost 78 inf + 0 114.344 * * [simplify]: Extracting #2: cost 373 inf + 1 114.347 * * [simplify]: Extracting #3: cost 474 inf + 297 114.355 * * [simplify]: Extracting #4: cost 391 inf + 22119 114.388 * * [simplify]: Extracting #5: cost 104 inf + 119889 114.439 * * [simplify]: Extracting #6: cost 6 inf + 169030 114.470 * * [simplify]: Extracting #7: cost 0 inf + 172425 114.518 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) 114.518 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))))) 114.518 * * * * [progress]: [ 266 / 406 ] simplifiying candidate # 114.518 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 114.518 * * [simplify]: iters left: 6 (23 enodes) 114.532 * * [simplify]: iters left: 5 (104 enodes) 114.568 * * [simplify]: iters left: 4 (195 enodes) 114.625 * * [simplify]: iters left: 3 (448 enodes) 114.779 * * [simplify]: Extracting #0: cost 1 inf + 0 114.779 * * [simplify]: Extracting #1: cost 74 inf + 0 114.780 * * [simplify]: Extracting #2: cost 330 inf + 1 114.782 * * [simplify]: Extracting #3: cost 400 inf + 186 114.785 * * [simplify]: Extracting #4: cost 344 inf + 11261 114.800 * * [simplify]: Extracting #5: cost 139 inf + 75355 114.847 * * [simplify]: Extracting #6: cost 4 inf + 146952 114.877 * * [simplify]: Extracting #7: cost 0 inf + 149029 114.934 * * [simplify]: Extracting #8: cost 0 inf + 149028 114.979 * [simplify]: Simplified to (+ (/ (* (log n) (- 1 k)) 2) (+ (* (log (* 2 PI)) (/ (- 1 k) 4)) (- (* (log (* 2 PI)) (/ (- 1 k) 4)) (log (sqrt k))))) 114.979 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (/ (* (log n) (- 1 k)) 2) (+ (* (log (* 2 PI)) (/ (- 1 k) 4)) (- (* (log (* 2 PI)) (/ (- 1 k) 4)) (log (sqrt k))))))) 114.979 * * * * [progress]: [ 267 / 406 ] simplifiying candidate # 114.979 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 114.980 * * [simplify]: iters left: 6 (23 enodes) 114.987 * * [simplify]: iters left: 5 (104 enodes) 115.006 * * [simplify]: iters left: 4 (195 enodes) 115.069 * * [simplify]: iters left: 3 (448 enodes) 115.313 * * [simplify]: Extracting #0: cost 1 inf + 0 115.313 * * [simplify]: Extracting #1: cost 74 inf + 0 115.315 * * [simplify]: Extracting #2: cost 330 inf + 1 115.318 * * [simplify]: Extracting #3: cost 400 inf + 186 115.324 * * [simplify]: Extracting #4: cost 344 inf + 11261 115.347 * * [simplify]: Extracting #5: cost 139 inf + 75355 115.399 * * [simplify]: Extracting #6: cost 4 inf + 146952 115.456 * * [simplify]: Extracting #7: cost 0 inf + 149029 115.485 * * [simplify]: Extracting #8: cost 0 inf + 149028 115.537 * [simplify]: Simplified to (+ (/ (* (log n) (- 1 k)) 2) (+ (* (log (* 2 PI)) (/ (- 1 k) 4)) (- (* (log (* 2 PI)) (/ (- 1 k) 4)) (log (sqrt k))))) 115.537 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (/ (* (log n) (- 1 k)) 2) (+ (* (log (* 2 PI)) (/ (- 1 k) 4)) (- (* (log (* 2 PI)) (/ (- 1 k) 4)) (log (sqrt k))))))) 115.537 * * * * [progress]: [ 268 / 406 ] simplifiying candidate # 115.539 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 115.540 * * [simplify]: iters left: 6 (23 enodes) 115.551 * * [simplify]: iters left: 5 (105 enodes) 115.569 * * [simplify]: iters left: 4 (197 enodes) 115.642 * * [simplify]: iters left: 3 (479 enodes) 115.883 * * [simplify]: Extracting #0: cost 1 inf + 0 115.883 * * [simplify]: Extracting #1: cost 88 inf + 0 115.886 * * [simplify]: Extracting #2: cost 402 inf + 1 115.889 * * [simplify]: Extracting #3: cost 485 inf + 74 115.896 * * [simplify]: Extracting #4: cost 415 inf + 15255 115.938 * * [simplify]: Extracting #5: cost 90 inf + 155718 115.984 * * [simplify]: Extracting #6: cost 4 inf + 190859 116.054 * * [simplify]: Extracting #7: cost 0 inf + 191224 116.126 * * [simplify]: Extracting #8: cost 0 inf + 191182 116.169 * * [simplify]: Extracting #9: cost 0 inf + 191100 116.220 * [simplify]: Simplified to (+ (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (- (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (log (sqrt k)))) 116.220 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (- (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (log (sqrt k)))))) 116.220 * * * * [progress]: [ 269 / 406 ] simplifiying candidate # 116.220 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 116.220 * * [simplify]: iters left: 6 (21 enodes) 116.227 * * [simplify]: iters left: 5 (98 enodes) 116.247 * * [simplify]: iters left: 4 (193 enodes) 116.324 * * [simplify]: iters left: 3 (431 enodes) 116.497 * * [simplify]: Extracting #0: cost 1 inf + 0 116.498 * * [simplify]: Extracting #1: cost 64 inf + 0 116.499 * * [simplify]: Extracting #2: cost 281 inf + 1 116.502 * * [simplify]: Extracting #3: cost 368 inf + 75 116.508 * * [simplify]: Extracting #4: cost 311 inf + 12422 116.528 * * [simplify]: Extracting #5: cost 142 inf + 57849 116.547 * * [simplify]: Extracting #6: cost 68 inf + 89568 116.578 * * [simplify]: Extracting #7: cost 7 inf + 125167 116.604 * * [simplify]: Extracting #8: cost 0 inf + 129910 116.648 * [simplify]: Simplified to (+ (- (* (log (* 2 PI)) (/ (- 1 k) 4)) (- (log (sqrt k)) (* (log (* 2 PI)) (/ (- 1 k) 4)))) (/ (- (log n) (* k (log n))) 2)) 116.648 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (log (* 2 PI)) (/ (- 1 k) 4)) (- (log (sqrt k)) (* (log (* 2 PI)) (/ (- 1 k) 4)))) (/ (- (log n) (* k (log n))) 2)))) 116.648 * * * * [progress]: [ 270 / 406 ] simplifiying candidate # 116.649 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 116.649 * * [simplify]: iters left: 6 (21 enodes) 116.662 * * [simplify]: iters left: 5 (98 enodes) 116.692 * * [simplify]: iters left: 4 (193 enodes) 116.762 * * [simplify]: iters left: 3 (431 enodes) 116.916 * * [simplify]: Extracting #0: cost 1 inf + 0 116.917 * * [simplify]: Extracting #1: cost 64 inf + 0 116.918 * * [simplify]: Extracting #2: cost 281 inf + 1 116.919 * * [simplify]: Extracting #3: cost 368 inf + 75 116.922 * * [simplify]: Extracting #4: cost 311 inf + 12422 116.932 * * [simplify]: Extracting #5: cost 142 inf + 57849 116.952 * * [simplify]: Extracting #6: cost 68 inf + 89568 116.974 * * [simplify]: Extracting #7: cost 7 inf + 125167 117.021 * * [simplify]: Extracting #8: cost 0 inf + 129910 117.070 * [simplify]: Simplified to (+ (- (* (log (* 2 PI)) (/ (- 1 k) 4)) (- (log (sqrt k)) (* (log (* 2 PI)) (/ (- 1 k) 4)))) (/ (- (log n) (* k (log n))) 2)) 117.070 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (log (* 2 PI)) (/ (- 1 k) 4)) (- (log (sqrt k)) (* (log (* 2 PI)) (/ (- 1 k) 4)))) (/ (- (log n) (* k (log n))) 2)))) 117.070 * * * * [progress]: [ 271 / 406 ] simplifiying candidate # 117.070 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 117.070 * * [simplify]: iters left: 6 (21 enodes) 117.078 * * [simplify]: iters left: 5 (99 enodes) 117.099 * * [simplify]: iters left: 4 (195 enodes) 117.149 * * [simplify]: iters left: 3 (462 enodes) 117.329 * * [simplify]: Extracting #0: cost 1 inf + 0 117.330 * * [simplify]: Extracting #1: cost 74 inf + 0 117.331 * * [simplify]: Extracting #2: cost 345 inf + 1 117.333 * * [simplify]: Extracting #3: cost 445 inf + 74 117.336 * * [simplify]: Extracting #4: cost 376 inf + 14399 117.372 * * [simplify]: Extracting #5: cost 118 inf + 102625 117.402 * * [simplify]: Extracting #6: cost 6 inf + 159805 117.438 * * [simplify]: Extracting #7: cost 0 inf + 163126 117.501 * * [simplify]: Extracting #8: cost 0 inf + 162924 117.539 * [simplify]: Simplified to (- (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) (log (sqrt k))) 117.539 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) (log (sqrt k))))) 117.539 * * * * [progress]: [ 272 / 406 ] simplifiying candidate # 117.539 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 117.539 * * [simplify]: iters left: 6 (21 enodes) 117.546 * * [simplify]: iters left: 5 (98 enodes) 117.574 * * [simplify]: iters left: 4 (193 enodes) 117.618 * * [simplify]: iters left: 3 (431 enodes) 117.786 * * [simplify]: Extracting #0: cost 1 inf + 0 117.786 * * [simplify]: Extracting #1: cost 64 inf + 0 117.788 * * [simplify]: Extracting #2: cost 281 inf + 1 117.790 * * [simplify]: Extracting #3: cost 368 inf + 75 117.795 * * [simplify]: Extracting #4: cost 311 inf + 12422 117.815 * * [simplify]: Extracting #5: cost 142 inf + 57849 117.846 * * [simplify]: Extracting #6: cost 68 inf + 89568 117.896 * * [simplify]: Extracting #7: cost 7 inf + 125167 117.943 * * [simplify]: Extracting #8: cost 0 inf + 129910 117.968 * [simplify]: Simplified to (+ (- (* (log (* 2 PI)) (/ (- 1 k) 4)) (- (log (sqrt k)) (* (log (* 2 PI)) (/ (- 1 k) 4)))) (/ (- (log n) (* k (log n))) 2)) 117.968 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (log (* 2 PI)) (/ (- 1 k) 4)) (- (log (sqrt k)) (* (log (* 2 PI)) (/ (- 1 k) 4)))) (/ (- (log n) (* k (log n))) 2)))) 117.968 * * * * [progress]: [ 273 / 406 ] simplifiying candidate # 117.968 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 117.968 * * [simplify]: iters left: 6 (21 enodes) 117.975 * * [simplify]: iters left: 5 (98 enodes) 117.992 * * [simplify]: iters left: 4 (193 enodes) 118.032 * * [simplify]: iters left: 3 (431 enodes) 118.253 * * [simplify]: Extracting #0: cost 1 inf + 0 118.253 * * [simplify]: Extracting #1: cost 64 inf + 0 118.255 * * [simplify]: Extracting #2: cost 281 inf + 1 118.257 * * [simplify]: Extracting #3: cost 368 inf + 75 118.263 * * [simplify]: Extracting #4: cost 311 inf + 12422 118.282 * * [simplify]: Extracting #5: cost 142 inf + 57849 118.314 * * [simplify]: Extracting #6: cost 68 inf + 89568 118.360 * * [simplify]: Extracting #7: cost 7 inf + 125167 118.414 * * [simplify]: Extracting #8: cost 0 inf + 129910 118.464 * [simplify]: Simplified to (+ (- (* (log (* 2 PI)) (/ (- 1 k) 4)) (- (log (sqrt k)) (* (log (* 2 PI)) (/ (- 1 k) 4)))) (/ (- (log n) (* k (log n))) 2)) 118.464 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (log (* 2 PI)) (/ (- 1 k) 4)) (- (log (sqrt k)) (* (log (* 2 PI)) (/ (- 1 k) 4)))) (/ (- (log n) (* k (log n))) 2)))) 118.465 * * * * [progress]: [ 274 / 406 ] simplifiying candidate # 118.465 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 118.465 * * [simplify]: iters left: 6 (21 enodes) 118.478 * * [simplify]: iters left: 5 (99 enodes) 118.512 * * [simplify]: iters left: 4 (195 enodes) 118.560 * * [simplify]: iters left: 3 (462 enodes) 118.762 * * [simplify]: Extracting #0: cost 1 inf + 0 118.762 * * [simplify]: Extracting #1: cost 74 inf + 0 118.763 * * [simplify]: Extracting #2: cost 345 inf + 1 118.766 * * [simplify]: Extracting #3: cost 445 inf + 74 118.772 * * [simplify]: Extracting #4: cost 376 inf + 14399 118.792 * * [simplify]: Extracting #5: cost 118 inf + 102625 118.832 * * [simplify]: Extracting #6: cost 6 inf + 159805 118.873 * * [simplify]: Extracting #7: cost 0 inf + 163126 118.927 * * [simplify]: Extracting #8: cost 0 inf + 162924 118.958 * [simplify]: Simplified to (- (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) (log (sqrt k))) 118.958 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) (log (sqrt k))))) 118.959 * * * * [progress]: [ 275 / 406 ] simplifiying candidate # 118.959 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log n) (/ (- 1 k) 2))) 118.959 * * [simplify]: iters left: 6 (19 enodes) 118.965 * * [simplify]: iters left: 5 (88 enodes) 118.980 * * [simplify]: iters left: 4 (167 enodes) 119.016 * * [simplify]: iters left: 3 (355 enodes) 119.180 * * [simplify]: Extracting #0: cost 1 inf + 0 119.181 * * [simplify]: Extracting #1: cost 46 inf + 0 119.182 * * [simplify]: Extracting #2: cost 222 inf + 1 119.184 * * [simplify]: Extracting #3: cost 311 inf + 4 119.188 * * [simplify]: Extracting #4: cost 297 inf + 6036 119.202 * * [simplify]: Extracting #5: cost 127 inf + 47711 119.241 * * [simplify]: Extracting #6: cost 20 inf + 90417 119.279 * * [simplify]: Extracting #7: cost 0 inf + 101810 119.316 * * [simplify]: Extracting #8: cost 0 inf + 101809 119.355 * [simplify]: Simplified to (+ (+ (/ (* (- 1 k) (log (* 2 PI))) 4) (- (/ (* (- 1 k) (log (* 2 PI))) 4) (log (sqrt k)))) (* (/ (- 1 k) 2) (log n))) 119.355 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (/ (* (- 1 k) (log (* 2 PI))) 4) (- (/ (* (- 1 k) (log (* 2 PI))) 4) (log (sqrt k)))) (* (/ (- 1 k) 2) (log n))))) 119.355 * * * * [progress]: [ 276 / 406 ] simplifiying candidate # 119.356 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log n) (/ (- 1 k) 2))) 119.356 * * [simplify]: iters left: 6 (19 enodes) 119.364 * * [simplify]: iters left: 5 (88 enodes) 119.381 * * [simplify]: iters left: 4 (167 enodes) 119.435 * * [simplify]: iters left: 3 (355 enodes) 119.602 * * [simplify]: Extracting #0: cost 1 inf + 0 119.602 * * [simplify]: Extracting #1: cost 46 inf + 0 119.602 * * [simplify]: Extracting #2: cost 222 inf + 1 119.603 * * [simplify]: Extracting #3: cost 311 inf + 4 119.605 * * [simplify]: Extracting #4: cost 297 inf + 6036 119.613 * * [simplify]: Extracting #5: cost 127 inf + 47711 119.646 * * [simplify]: Extracting #6: cost 20 inf + 90417 119.685 * * [simplify]: Extracting #7: cost 0 inf + 101810 119.714 * * [simplify]: Extracting #8: cost 0 inf + 101809 119.734 * [simplify]: Simplified to (+ (+ (/ (* (- 1 k) (log (* 2 PI))) 4) (- (/ (* (- 1 k) (log (* 2 PI))) 4) (log (sqrt k)))) (* (/ (- 1 k) 2) (log n))) 119.734 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (/ (* (- 1 k) (log (* 2 PI))) 4) (- (/ (* (- 1 k) (log (* 2 PI))) 4) (log (sqrt k)))) (* (/ (- 1 k) 2) (log n))))) 119.734 * * * * [progress]: [ 277 / 406 ] simplifiying candidate # 119.734 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (log (pow n (/ (- 1 k) 2)))) 119.735 * * [simplify]: iters left: 6 (19 enodes) 119.741 * * [simplify]: iters left: 5 (89 enodes) 119.766 * * [simplify]: iters left: 4 (169 enodes) 119.804 * * [simplify]: iters left: 3 (383 enodes) 119.965 * * [simplify]: Extracting #0: cost 1 inf + 0 119.965 * * [simplify]: Extracting #1: cost 57 inf + 0 119.966 * * [simplify]: Extracting #2: cost 275 inf + 1 119.967 * * [simplify]: Extracting #3: cost 378 inf + 74 119.974 * * [simplify]: Extracting #4: cost 299 inf + 27599 119.993 * * [simplify]: Extracting #5: cost 52 inf + 117913 120.024 * * [simplify]: Extracting #6: cost 0 inf + 132021 120.050 * * [simplify]: Extracting #7: cost 0 inf + 131542 120.076 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) 120.076 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))))) 120.076 * * * * [progress]: [ 278 / 406 ] simplifiying candidate # 120.076 * [simplify]: Simplifying (+ (+ (log (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 120.077 * * [simplify]: iters left: 6 (22 enodes) 120.083 * * [simplify]: iters left: 5 (98 enodes) 120.100 * * [simplify]: iters left: 4 (196 enodes) 120.168 * * [simplify]: iters left: 3 (468 enodes) 120.344 * * [simplify]: Extracting #0: cost 1 inf + 0 120.344 * * [simplify]: Extracting #1: cost 52 inf + 0 120.345 * * [simplify]: Extracting #2: cost 265 inf + 1 120.346 * * [simplify]: Extracting #3: cost 351 inf + 76 120.348 * * [simplify]: Extracting #4: cost 344 inf + 6095 120.355 * * [simplify]: Extracting #5: cost 184 inf + 44606 120.389 * * [simplify]: Extracting #6: cost 48 inf + 101714 120.431 * * [simplify]: Extracting #7: cost 10 inf + 120720 120.462 * * [simplify]: Extracting #8: cost 0 inf + 127975 120.496 * * [simplify]: Extracting #9: cost 0 inf + 127974 120.539 * [simplify]: Simplified to (+ (- (* (log (* 2 PI)) (+ (/ (- 1 k) 4) (/ (- 1 k) 4))) (log (sqrt k))) (/ (log n) (/ 2 (- 1 k)))) 120.539 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (log (* 2 PI)) (+ (/ (- 1 k) 4) (/ (- 1 k) 4))) (log (sqrt k))) (/ (log n) (/ 2 (- 1 k)))))) 120.539 * * * * [progress]: [ 279 / 406 ] simplifiying candidate # 120.539 * [simplify]: Simplifying (+ (+ (log (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 120.539 * * [simplify]: iters left: 6 (22 enodes) 120.546 * * [simplify]: iters left: 5 (98 enodes) 120.564 * * [simplify]: iters left: 4 (196 enodes) 120.645 * * [simplify]: iters left: 3 (468 enodes) 120.836 * * [simplify]: Extracting #0: cost 1 inf + 0 120.836 * * [simplify]: Extracting #1: cost 52 inf + 0 120.837 * * [simplify]: Extracting #2: cost 265 inf + 1 120.838 * * [simplify]: Extracting #3: cost 351 inf + 76 120.840 * * [simplify]: Extracting #4: cost 344 inf + 6095 120.853 * * [simplify]: Extracting #5: cost 184 inf + 44606 120.889 * * [simplify]: Extracting #6: cost 48 inf + 101714 120.937 * * [simplify]: Extracting #7: cost 10 inf + 120720 120.967 * * [simplify]: Extracting #8: cost 0 inf + 127975 120.994 * * [simplify]: Extracting #9: cost 0 inf + 127974 121.027 * [simplify]: Simplified to (+ (- (* (log (* 2 PI)) (+ (/ (- 1 k) 4) (/ (- 1 k) 4))) (log (sqrt k))) (/ (log n) (/ 2 (- 1 k)))) 121.027 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (log (* 2 PI)) (+ (/ (- 1 k) 4) (/ (- 1 k) 4))) (log (sqrt k))) (/ (log n) (/ 2 (- 1 k)))))) 121.027 * * * * [progress]: [ 280 / 406 ] simplifiying candidate # 121.027 * [simplify]: Simplifying (+ (+ (log (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 121.027 * * [simplify]: iters left: 6 (22 enodes) 121.034 * * [simplify]: iters left: 5 (99 enodes) 121.054 * * [simplify]: iters left: 4 (198 enodes) 121.105 * * [simplify]: iters left: 3 (495 enodes) 121.330 * * [simplify]: Extracting #0: cost 1 inf + 0 121.330 * * [simplify]: Extracting #1: cost 65 inf + 0 121.331 * * [simplify]: Extracting #2: cost 315 inf + 1 121.333 * * [simplify]: Extracting #3: cost 414 inf + 75 121.339 * * [simplify]: Extracting #4: cost 364 inf + 12959 121.353 * * [simplify]: Extracting #5: cost 147 inf + 78346 121.383 * * [simplify]: Extracting #6: cost 15 inf + 145571 121.437 * * [simplify]: Extracting #7: cost 0 inf + 155153 121.463 * [simplify]: Simplified to (- (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) (log (sqrt k))) 121.463 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) (log (sqrt k))))) 121.464 * * * * [progress]: [ 281 / 406 ] simplifiying candidate # 121.464 * [simplify]: Simplifying (+ (+ (log (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 121.464 * * [simplify]: iters left: 6 (20 enodes) 121.475 * * [simplify]: iters left: 5 (94 enodes) 121.509 * * [simplify]: iters left: 4 (196 enodes) 121.591 * * [simplify]: iters left: 3 (467 enodes) 121.837 * * [simplify]: Extracting #0: cost 1 inf + 0 121.837 * * [simplify]: Extracting #1: cost 58 inf + 0 121.839 * * [simplify]: Extracting #2: cost 287 inf + 1 121.842 * * [simplify]: Extracting #3: cost 382 inf + 76 121.848 * * [simplify]: Extracting #4: cost 328 inf + 12681 121.868 * * [simplify]: Extracting #5: cost 139 inf + 64928 121.910 * * [simplify]: Extracting #6: cost 18 inf + 124577 121.962 * * [simplify]: Extracting #7: cost 0 inf + 135747 122.009 * * [simplify]: Extracting #8: cost 0 inf + 135739 122.038 * [simplify]: Simplified to (+ (/ (log n) (/ 2 (- 1 k))) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))))) 122.038 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (/ (log n) (/ 2 (- 1 k))) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))))))) 122.038 * * * * [progress]: [ 282 / 406 ] simplifiying candidate # 122.038 * [simplify]: Simplifying (+ (+ (log (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 122.038 * * [simplify]: iters left: 6 (20 enodes) 122.044 * * [simplify]: iters left: 5 (94 enodes) 122.074 * * [simplify]: iters left: 4 (196 enodes) 122.114 * * [simplify]: iters left: 3 (467 enodes) 122.296 * * [simplify]: Extracting #0: cost 1 inf + 0 122.296 * * [simplify]: Extracting #1: cost 58 inf + 0 122.297 * * [simplify]: Extracting #2: cost 287 inf + 1 122.299 * * [simplify]: Extracting #3: cost 382 inf + 76 122.301 * * [simplify]: Extracting #4: cost 328 inf + 12681 122.312 * * [simplify]: Extracting #5: cost 139 inf + 64928 122.353 * * [simplify]: Extracting #6: cost 18 inf + 124577 122.394 * * [simplify]: Extracting #7: cost 0 inf + 135747 122.418 * * [simplify]: Extracting #8: cost 0 inf + 135739 122.449 * [simplify]: Simplified to (+ (/ (log n) (/ 2 (- 1 k))) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))))) 122.449 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (/ (log n) (/ 2 (- 1 k))) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))))))) 122.449 * * * * [progress]: [ 283 / 406 ] simplifiying candidate # 122.449 * [simplify]: Simplifying (+ (+ (log (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 122.449 * * [simplify]: iters left: 6 (20 enodes) 122.456 * * [simplify]: iters left: 5 (95 enodes) 122.473 * * [simplify]: iters left: 4 (198 enodes) 122.517 * * [simplify]: iters left: 3 (493 enodes) 122.715 * * [simplify]: Extracting #0: cost 1 inf + 0 122.715 * * [simplify]: Extracting #1: cost 66 inf + 0 122.717 * * [simplify]: Extracting #2: cost 348 inf + 1 122.720 * * [simplify]: Extracting #3: cost 456 inf + 75 122.728 * * [simplify]: Extracting #4: cost 379 inf + 20540 122.764 * * [simplify]: Extracting #5: cost 92 inf + 133108 122.813 * * [simplify]: Extracting #6: cost 7 inf + 166362 122.861 * * [simplify]: Extracting #7: cost 0 inf + 169515 122.918 * [simplify]: Simplified to (- (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) (log (sqrt k))) 122.919 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) (log (sqrt k))))) 122.919 * * * * [progress]: [ 284 / 406 ] simplifiying candidate # 122.919 * [simplify]: Simplifying (+ (+ (log (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 122.919 * * [simplify]: iters left: 6 (20 enodes) 122.931 * * [simplify]: iters left: 5 (94 enodes) 122.967 * * [simplify]: iters left: 4 (196 enodes) 123.045 * * [simplify]: iters left: 3 (467 enodes) 123.236 * * [simplify]: Extracting #0: cost 1 inf + 0 123.236 * * [simplify]: Extracting #1: cost 58 inf + 0 123.237 * * [simplify]: Extracting #2: cost 287 inf + 1 123.240 * * [simplify]: Extracting #3: cost 382 inf + 76 123.246 * * [simplify]: Extracting #4: cost 328 inf + 12681 123.266 * * [simplify]: Extracting #5: cost 139 inf + 64928 123.290 * * [simplify]: Extracting #6: cost 18 inf + 124577 123.330 * * [simplify]: Extracting #7: cost 0 inf + 135747 123.355 * * [simplify]: Extracting #8: cost 0 inf + 135739 123.402 * [simplify]: Simplified to (+ (/ (log n) (/ 2 (- 1 k))) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))))) 123.403 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (/ (log n) (/ 2 (- 1 k))) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))))))) 123.403 * * * * [progress]: [ 285 / 406 ] simplifiying candidate # 123.403 * [simplify]: Simplifying (+ (+ (log (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 123.403 * * [simplify]: iters left: 6 (20 enodes) 123.415 * * [simplify]: iters left: 5 (94 enodes) 123.436 * * [simplify]: iters left: 4 (196 enodes) 123.503 * * [simplify]: iters left: 3 (467 enodes) 123.685 * * [simplify]: Extracting #0: cost 1 inf + 0 123.685 * * [simplify]: Extracting #1: cost 58 inf + 0 123.687 * * [simplify]: Extracting #2: cost 287 inf + 1 123.690 * * [simplify]: Extracting #3: cost 382 inf + 76 123.695 * * [simplify]: Extracting #4: cost 328 inf + 12681 123.715 * * [simplify]: Extracting #5: cost 139 inf + 64928 123.736 * * [simplify]: Extracting #6: cost 18 inf + 124577 123.770 * * [simplify]: Extracting #7: cost 0 inf + 135747 123.807 * * [simplify]: Extracting #8: cost 0 inf + 135739 123.834 * [simplify]: Simplified to (+ (/ (log n) (/ 2 (- 1 k))) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))))) 123.834 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (/ (log n) (/ 2 (- 1 k))) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))))))) 123.834 * * * * [progress]: [ 286 / 406 ] simplifiying candidate # 123.835 * [simplify]: Simplifying (+ (+ (log (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 123.835 * * [simplify]: iters left: 6 (20 enodes) 123.845 * * [simplify]: iters left: 5 (95 enodes) 123.875 * * [simplify]: iters left: 4 (198 enodes) 123.939 * * [simplify]: iters left: 3 (493 enodes) 124.159 * * [simplify]: Extracting #0: cost 1 inf + 0 124.159 * * [simplify]: Extracting #1: cost 66 inf + 0 124.161 * * [simplify]: Extracting #2: cost 348 inf + 1 124.164 * * [simplify]: Extracting #3: cost 456 inf + 75 124.168 * * [simplify]: Extracting #4: cost 379 inf + 20540 124.186 * * [simplify]: Extracting #5: cost 92 inf + 133108 124.218 * * [simplify]: Extracting #6: cost 7 inf + 166362 124.248 * * [simplify]: Extracting #7: cost 0 inf + 169515 124.296 * [simplify]: Simplified to (- (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) (log (sqrt k))) 124.296 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) (log (sqrt k))))) 124.296 * * * * [progress]: [ 287 / 406 ] simplifiying candidate # 124.296 * [simplify]: Simplifying (+ (+ (log (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log n) (/ (- 1 k) 2))) 124.296 * * [simplify]: iters left: 6 (19 enodes) 124.303 * * [simplify]: iters left: 5 (86 enodes) 124.324 * * [simplify]: iters left: 4 (170 enodes) 124.388 * * [simplify]: iters left: 3 (380 enodes) 124.552 * * [simplify]: Extracting #0: cost 1 inf + 0 124.552 * * [simplify]: Extracting #1: cost 41 inf + 0 124.553 * * [simplify]: Extracting #2: cost 227 inf + 1 124.554 * * [simplify]: Extracting #3: cost 322 inf + 76 124.556 * * [simplify]: Extracting #4: cost 304 inf + 7865 124.564 * * [simplify]: Extracting #5: cost 141 inf + 48342 124.589 * * [simplify]: Extracting #6: cost 21 inf + 98434 124.632 * * [simplify]: Extracting #7: cost 0 inf + 109338 124.658 * * [simplify]: Extracting #8: cost 0 inf + 109331 124.683 * * [simplify]: Extracting #9: cost 0 inf + 109329 124.721 * [simplify]: Simplified to (+ (+ (- (/ (- 1 k) (/ 4 (log (* 2 PI)))) (log (sqrt k))) (/ (log n) (/ 2 (- 1 k)))) (/ (- 1 k) (/ 4 (log (* 2 PI))))) 124.721 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (- (/ (- 1 k) (/ 4 (log (* 2 PI)))) (log (sqrt k))) (/ (log n) (/ 2 (- 1 k)))) (/ (- 1 k) (/ 4 (log (* 2 PI))))))) 124.721 * * * * [progress]: [ 288 / 406 ] simplifiying candidate # 124.722 * [simplify]: Simplifying (+ (+ (log (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log n) (/ (- 1 k) 2))) 124.722 * * [simplify]: iters left: 6 (19 enodes) 124.728 * * [simplify]: iters left: 5 (86 enodes) 124.744 * * [simplify]: iters left: 4 (170 enodes) 124.789 * * [simplify]: iters left: 3 (380 enodes) 124.951 * * [simplify]: Extracting #0: cost 1 inf + 0 124.951 * * [simplify]: Extracting #1: cost 41 inf + 0 124.953 * * [simplify]: Extracting #2: cost 227 inf + 1 124.955 * * [simplify]: Extracting #3: cost 322 inf + 76 124.959 * * [simplify]: Extracting #4: cost 304 inf + 7865 124.974 * * [simplify]: Extracting #5: cost 141 inf + 48342 125.008 * * [simplify]: Extracting #6: cost 21 inf + 98434 125.033 * * [simplify]: Extracting #7: cost 0 inf + 109338 125.057 * * [simplify]: Extracting #8: cost 0 inf + 109331 125.077 * * [simplify]: Extracting #9: cost 0 inf + 109329 125.109 * [simplify]: Simplified to (+ (+ (- (/ (- 1 k) (/ 4 (log (* 2 PI)))) (log (sqrt k))) (/ (log n) (/ 2 (- 1 k)))) (/ (- 1 k) (/ 4 (log (* 2 PI))))) 125.109 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (- (/ (- 1 k) (/ 4 (log (* 2 PI)))) (log (sqrt k))) (/ (log n) (/ 2 (- 1 k)))) (/ (- 1 k) (/ 4 (log (* 2 PI))))))) 125.109 * * * * [progress]: [ 289 / 406 ] simplifiying candidate # 125.110 * [simplify]: Simplifying (+ (+ (log (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (log (pow n (/ (- 1 k) 2)))) 125.110 * * [simplify]: iters left: 6 (19 enodes) 125.123 * * [simplify]: iters left: 5 (87 enodes) 125.148 * * [simplify]: iters left: 4 (172 enodes) 125.194 * * [simplify]: iters left: 3 (409 enodes) 125.381 * * [simplify]: Extracting #0: cost 1 inf + 0 125.381 * * [simplify]: Extracting #1: cost 49 inf + 0 125.382 * * [simplify]: Extracting #2: cost 272 inf + 1 125.383 * * [simplify]: Extracting #3: cost 386 inf + 4 125.387 * * [simplify]: Extracting #4: cost 307 inf + 21329 125.410 * * [simplify]: Extracting #5: cost 82 inf + 100624 125.434 * * [simplify]: Extracting #6: cost 8 inf + 134264 125.471 * * [simplify]: Extracting #7: cost 0 inf + 136682 125.500 * * [simplify]: Extracting #8: cost 0 inf + 135990 125.549 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) 125.549 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))))) 125.549 * * * * [progress]: [ 290 / 406 ] simplifiying candidate # 125.550 * [simplify]: Simplifying (+ (log (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log n) (/ (- 1 k) 2))) 125.550 * * [simplify]: iters left: 6 (18 enodes) 125.561 * * [simplify]: iters left: 5 (82 enodes) 125.590 * * [simplify]: iters left: 4 (170 enodes) 125.645 * * [simplify]: iters left: 3 (401 enodes) 125.845 * * [simplify]: Extracting #0: cost 1 inf + 0 125.845 * * [simplify]: Extracting #1: cost 32 inf + 0 125.846 * * [simplify]: Extracting #2: cost 148 inf + 0 125.847 * * [simplify]: Extracting #3: cost 249 inf + 6 125.850 * * [simplify]: Extracting #4: cost 264 inf + 3555 125.858 * * [simplify]: Extracting #5: cost 166 inf + 21304 125.883 * * [simplify]: Extracting #6: cost 47 inf + 83403 125.917 * * [simplify]: Extracting #7: cost 4 inf + 103650 125.946 * * [simplify]: Extracting #8: cost 0 inf + 105875 125.968 * [simplify]: Simplified to (- (+ (+ (/ (- (log n) (* (log n) k)) 2) (* (log (* 2 PI)) (- 1/4 (/ k 4)))) (* (log (* 2 PI)) (- 1/4 (/ k 4)))) (log (sqrt k))) 125.968 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (+ (/ (- (log n) (* (log n) k)) 2) (* (log (* 2 PI)) (- 1/4 (/ k 4)))) (* (log (* 2 PI)) (- 1/4 (/ k 4)))) (log (sqrt k))))) 125.969 * * * * [progress]: [ 291 / 406 ] simplifiying candidate # 125.969 * [simplify]: Simplifying (+ (log (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log n) (/ (- 1 k) 2))) 125.969 * * [simplify]: iters left: 6 (18 enodes) 125.980 * * [simplify]: iters left: 5 (82 enodes) 126.008 * * [simplify]: iters left: 4 (170 enodes) 126.074 * * [simplify]: iters left: 3 (401 enodes) 126.276 * * [simplify]: Extracting #0: cost 1 inf + 0 126.276 * * [simplify]: Extracting #1: cost 32 inf + 0 126.276 * * [simplify]: Extracting #2: cost 148 inf + 0 126.277 * * [simplify]: Extracting #3: cost 249 inf + 6 126.278 * * [simplify]: Extracting #4: cost 264 inf + 3555 126.282 * * [simplify]: Extracting #5: cost 166 inf + 21304 126.301 * * [simplify]: Extracting #6: cost 47 inf + 83403 126.319 * * [simplify]: Extracting #7: cost 4 inf + 103650 126.341 * * [simplify]: Extracting #8: cost 0 inf + 105875 126.368 * [simplify]: Simplified to (- (+ (+ (/ (- (log n) (* (log n) k)) 2) (* (log (* 2 PI)) (- 1/4 (/ k 4)))) (* (log (* 2 PI)) (- 1/4 (/ k 4)))) (log (sqrt k))) 126.368 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (+ (/ (- (log n) (* (log n) k)) 2) (* (log (* 2 PI)) (- 1/4 (/ k 4)))) (* (log (* 2 PI)) (- 1/4 (/ k 4)))) (log (sqrt k))))) 126.369 * * * * [progress]: [ 292 / 406 ] simplifiying candidate # 126.369 * [simplify]: Simplifying (+ (log (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (log (pow n (/ (- 1 k) 2)))) 126.369 * * [simplify]: iters left: 6 (18 enodes) 126.374 * * [simplify]: iters left: 5 (83 enodes) 126.389 * * [simplify]: iters left: 4 (171 enodes) 126.427 * * [simplify]: iters left: 3 (413 enodes) 126.604 * * [simplify]: Extracting #0: cost 1 inf + 0 126.604 * * [simplify]: Extracting #1: cost 39 inf + 0 126.604 * * [simplify]: Extracting #2: cost 177 inf + 0 126.605 * * [simplify]: Extracting #3: cost 286 inf + 5 126.607 * * [simplify]: Extracting #4: cost 298 inf + 3384 126.612 * * [simplify]: Extracting #5: cost 179 inf + 35702 126.631 * * [simplify]: Extracting #6: cost 30 inf + 115646 126.674 * * [simplify]: Extracting #7: cost 0 inf + 123287 126.698 * * [simplify]: Extracting #8: cost 0 inf + 121431 126.720 * * [simplify]: Extracting #9: cost 0 inf + 121351 126.749 * [simplify]: Simplified to (+ (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (- (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (log (sqrt k)))) 126.749 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (- (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (log (sqrt k)))))) 126.749 * * * * [progress]: [ 293 / 406 ] simplifiying candidate # 126.749 * * * * [progress]: [ 294 / 406 ] simplifiying candidate # 126.750 * * * * [progress]: [ 295 / 406 ] simplifiying candidate # 126.750 * [simplify]: Simplifying (* (* (* (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (* (pow n (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 126.750 * * [simplify]: iters left: 6 (24 enodes) 126.763 * * [simplify]: iters left: 5 (110 enodes) 126.787 * * [simplify]: iters left: 4 (316 enodes) 127.024 * * [simplify]: Extracting #0: cost 1 inf + 0 127.024 * * [simplify]: Extracting #1: cost 59 inf + 0 127.027 * * [simplify]: Extracting #2: cost 385 inf + 1 127.031 * * [simplify]: Extracting #3: cost 464 inf + 1150 127.036 * * [simplify]: Extracting #4: cost 446 inf + 2516 127.052 * * [simplify]: Extracting #5: cost 326 inf + 64414 127.124 * * [simplify]: Extracting #6: cost 74 inf + 245799 127.200 * * [simplify]: Extracting #7: cost 0 inf + 300835 127.285 * * [simplify]: Extracting #8: cost 0 inf + 298350 127.387 * * [simplify]: Extracting #9: cost 0 inf + 298309 127.471 * [simplify]: Simplified to (* (pow n (/ (- 1 k) 4)) (* (pow n (/ (- 1 k) 4)) (/ (* (* (* (* (* (pow (* PI 2) (/ (- 1 k) 4)) (pow (* PI 2) (/ (- 1 k) 4))) (pow (* PI 2) (/ (- 1 k) 4))) (pow n (/ (- 1 k) 4))) (pow n (/ (- 1 k) 4))) (* (* (* (* (pow (* PI 2) (/ (- 1 k) 4)) (pow (* PI 2) (/ (- 1 k) 4))) (pow (* PI 2) (/ (- 1 k) 4))) (pow n (/ (- 1 k) 4))) (pow n (/ (- 1 k) 4)))) (* k (sqrt k))))) 127.471 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (pow n (/ (- 1 k) 4)) (* (pow n (/ (- 1 k) 4)) (/ (* (* (* (* (* (pow (* PI 2) (/ (- 1 k) 4)) (pow (* PI 2) (/ (- 1 k) 4))) (pow (* PI 2) (/ (- 1 k) 4))) (pow n (/ (- 1 k) 4))) (pow n (/ (- 1 k) 4))) (* (* (* (* (pow (* PI 2) (/ (- 1 k) 4)) (pow (* PI 2) (/ (- 1 k) 4))) (pow (* PI 2) (/ (- 1 k) 4))) (pow n (/ (- 1 k) 4))) (pow n (/ (- 1 k) 4)))) (* k (sqrt k))))))) 127.471 * * * * [progress]: [ 296 / 406 ] simplifiying candidate # 127.472 * [simplify]: Simplifying (* (* (* (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))) (* (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (* (pow n (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 127.472 * * [simplify]: iters left: 6 (22 enodes) 127.479 * * [simplify]: iters left: 5 (111 enodes) 127.509 * * [simplify]: iters left: 4 (310 enodes) 127.684 * * [simplify]: Extracting #0: cost 1 inf + 0 127.684 * * [simplify]: Extracting #1: cost 66 inf + 0 127.685 * * [simplify]: Extracting #2: cost 337 inf + 0 127.687 * * [simplify]: Extracting #3: cost 389 inf + 615 127.693 * * [simplify]: Extracting #4: cost 299 inf + 46521 127.732 * * [simplify]: Extracting #5: cost 57 inf + 237035 127.782 * * [simplify]: Extracting #6: cost 0 inf + 281035 127.852 * * [simplify]: Extracting #7: cost 0 inf + 277912 127.930 * * [simplify]: Extracting #8: cost 0 inf + 276973 128.000 * * [simplify]: Extracting #9: cost 0 inf + 276896 128.099 * [simplify]: Simplified to (* (pow n (/ (- 1 k) 2)) (* (pow n (/ (- 1 k) 2)) (* (/ (* (/ (* (* (pow (* PI 2) (/ (/ (- 1 k) 2) 2)) (pow (* PI 2) (/ (/ (- 1 k) 2) 2))) (pow (* PI 2) (/ (/ (- 1 k) 2) 2))) (sqrt k)) (/ (* (* (pow (* PI 2) (/ (/ (- 1 k) 2) 2)) (pow (* PI 2) (/ (/ (- 1 k) 2) 2))) (pow (* PI 2) (/ (/ (- 1 k) 2) 2))) (sqrt k))) (sqrt k)) (pow n (/ (- 1 k) 2))))) 128.099 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (pow n (/ (- 1 k) 2)) (* (pow n (/ (- 1 k) 2)) (* (/ (* (/ (* (* (pow (* PI 2) (/ (/ (- 1 k) 2) 2)) (pow (* PI 2) (/ (/ (- 1 k) 2) 2))) (pow (* PI 2) (/ (/ (- 1 k) 2) 2))) (sqrt k)) (/ (* (* (pow (* PI 2) (/ (/ (- 1 k) 2) 2)) (pow (* PI 2) (/ (/ (- 1 k) 2) 2))) (pow (* PI 2) (/ (/ (- 1 k) 2) 2))) (sqrt k))) (sqrt k)) (pow n (/ (- 1 k) 2))))))) 128.100 * * * * [progress]: [ 297 / 406 ] simplifiying candidate # 128.100 * [simplify]: Simplifying (* (* (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (* (pow n (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 128.100 * * [simplify]: iters left: 6 (22 enodes) 128.114 * * [simplify]: iters left: 5 (111 enodes) 128.161 * * [simplify]: iters left: 4 (341 enodes) 128.366 * * [simplify]: Extracting #0: cost 1 inf + 0 128.367 * * [simplify]: Extracting #1: cost 70 inf + 0 128.368 * * [simplify]: Extracting #2: cost 386 inf + 1 128.369 * * [simplify]: Extracting #3: cost 442 inf + 745 128.380 * * [simplify]: Extracting #4: cost 322 inf + 68812 128.421 * * [simplify]: Extracting #5: cost 61 inf + 264220 128.493 * * [simplify]: Extracting #6: cost 1 inf + 311129 128.564 * * [simplify]: Extracting #7: cost 0 inf + 308949 128.639 * [simplify]: Simplified to (* (* (pow n (/ (- 1 k) 2)) (* (* (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (/ (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (sqrt k))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (/ (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) (/ (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) (* (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 128.639 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (* (pow n (/ (- 1 k) 2)) (* (* (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (/ (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (sqrt k))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (/ (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) (/ (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) (* (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))))) 128.639 * * * * [progress]: [ 298 / 406 ] simplifiying candidate # 128.640 * [simplify]: Simplifying (* (* (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (* (pow n (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 128.640 * * [simplify]: iters left: 6 (20 enodes) 128.646 * * [simplify]: iters left: 5 (100 enodes) 128.669 * * [simplify]: iters left: 4 (297 enodes) 128.873 * * [simplify]: Extracting #0: cost 1 inf + 0 128.873 * * [simplify]: Extracting #1: cost 73 inf + 0 128.875 * * [simplify]: Extracting #2: cost 365 inf + 1 128.877 * * [simplify]: Extracting #3: cost 400 inf + 827 128.879 * * [simplify]: Extracting #4: cost 375 inf + 6749 128.891 * * [simplify]: Extracting #5: cost 228 inf + 96437 128.953 * * [simplify]: Extracting #6: cost 28 inf + 252930 129.014 * * [simplify]: Extracting #7: cost 0 inf + 273315 129.083 * * [simplify]: Extracting #8: cost 0 inf + 272634 129.141 * * [simplify]: Extracting #9: cost 0 inf + 272514 129.202 * [simplify]: Simplified to (* (* (/ (pow (* 2 PI) (/ (/ (- 1 k) 2) 1)) (sqrt k)) (pow n (/ (- 1 k) 2))) (* (* (/ (pow (* 2 PI) (/ (/ (- 1 k) 2) 1)) (sqrt k)) (pow n (/ (- 1 k) 2))) (* (/ (pow (* 2 PI) (/ (/ (- 1 k) 2) 1)) (sqrt k)) (pow n (/ (- 1 k) 2))))) 129.202 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (* (/ (pow (* 2 PI) (/ (/ (- 1 k) 2) 1)) (sqrt k)) (pow n (/ (- 1 k) 2))) (* (* (/ (pow (* 2 PI) (/ (/ (- 1 k) 2) 1)) (sqrt k)) (pow n (/ (- 1 k) 2))) (* (/ (pow (* 2 PI) (/ (/ (- 1 k) 2) 1)) (sqrt k)) (pow n (/ (- 1 k) 2))))))) 129.202 * * * * [progress]: [ 299 / 406 ] simplifiying candidate # 129.202 * * * * [progress]: [ 300 / 406 ] simplifiying candidate # 129.202 * * * * [progress]: [ 301 / 406 ] simplifiying candidate # 129.202 * * * * [progress]: [ 302 / 406 ] simplifiying candidate # 129.202 * [simplify]: Simplifying (* (* (* 1 (pow (* 2 PI) (/ (/ 1 2) 2))) (pow (* 2 PI) (/ (/ 1 2) 2))) (pow n (/ 1 2))) 129.202 * * [simplify]: iters left: 6 (12 enodes) 129.207 * * [simplify]: iters left: 5 (54 enodes) 129.221 * * [simplify]: iters left: 4 (119 enodes) 129.285 * * [simplify]: iters left: 3 (307 enodes) 129.490 * * [simplify]: Extracting #0: cost 1 inf + 0 129.490 * * [simplify]: Extracting #1: cost 50 inf + 0 129.491 * * [simplify]: Extracting #2: cost 171 inf + 1 129.493 * * [simplify]: Extracting #3: cost 173 inf + 8 129.495 * * [simplify]: Extracting #4: cost 149 inf + 7429 129.498 * * [simplify]: Extracting #5: cost 85 inf + 38053 129.506 * * [simplify]: Extracting #6: cost 9 inf + 88299 129.514 * * [simplify]: Extracting #7: cost 0 inf + 95323 129.523 * [simplify]: Simplified to (* (sqrt (* PI 2)) (sqrt n)) 129.523 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (sqrt (* PI 2)) (sqrt n)) (* (* (* (sqrt k) (pow (* 2 PI) (/ (/ k 2) 2))) (pow (* 2 PI) (/ (/ k 2) 2))) (pow n (/ k 2))))) 129.523 * [simplify]: Simplifying (* (* (* (sqrt k) (pow (* 2 PI) (/ (/ k 2) 2))) (pow (* 2 PI) (/ (/ k 2) 2))) (pow n (/ k 2))) 129.524 * * [simplify]: iters left: 6 (13 enodes) 129.527 * * [simplify]: iters left: 5 (55 enodes) 129.548 * * [simplify]: iters left: 4 (118 enodes) 129.592 * * [simplify]: iters left: 3 (346 enodes) 129.878 * * [simplify]: Extracting #0: cost 1 inf + 0 129.878 * * [simplify]: Extracting #1: cost 72 inf + 0 129.879 * * [simplify]: Extracting #2: cost 304 inf + 0 129.881 * * [simplify]: Extracting #3: cost 337 inf + 634 129.883 * * [simplify]: Extracting #4: cost 291 inf + 16970 129.898 * * [simplify]: Extracting #5: cost 108 inf + 148140 129.932 * * [simplify]: Extracting #6: cost 2 inf + 232411 129.964 * * [simplify]: Extracting #7: cost 0 inf + 224648 129.990 * * [simplify]: Extracting #8: cost 0 inf + 223524 130.017 * [simplify]: Simplified to (* (sqrt k) (* (* (pow (* 2 PI) (/ k 4)) (pow n (/ k 4))) (* (pow (* 2 PI) (/ k 4)) (pow n (/ k 4))))) 130.017 * [simplify]: Simplified (2 2) to (λ (k n) (/ (* (sqrt (* PI 2)) (sqrt n)) (* (sqrt k) (* (* (pow (* 2 PI) (/ k 4)) (pow n (/ k 4))) (* (pow (* 2 PI) (/ k 4)) (pow n (/ k 4))))))) 130.017 * * * * [progress]: [ 303 / 406 ] simplifiying candidate # 130.017 * [simplify]: Simplifying (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ 1 2) 2))) (pow (* 2 PI) (/ (/ 1 2) 2))) (pow n (/ 1 2))) 130.017 * * [simplify]: iters left: 6 (15 enodes) 130.023 * * [simplify]: iters left: 5 (67 enodes) 130.040 * * [simplify]: iters left: 4 (155 enodes) 130.122 * * [simplify]: iters left: 3 (450 enodes) 130.504 * * [simplify]: Extracting #0: cost 1 inf + 0 130.504 * * [simplify]: Extracting #1: cost 74 inf + 0 130.507 * * [simplify]: Extracting #2: cost 303 inf + 1 130.510 * * [simplify]: Extracting #3: cost 309 inf + 1306 130.515 * * [simplify]: Extracting #4: cost 261 inf + 18689 130.535 * * [simplify]: Extracting #5: cost 116 inf + 98681 130.572 * * [simplify]: Extracting #6: cost 3 inf + 176426 130.611 * * [simplify]: Extracting #7: cost 0 inf + 178977 130.630 * [simplify]: Simplified to (* (sqrt (* 2 PI)) (/ (sqrt n) (sqrt k))) 130.630 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (sqrt (* 2 PI)) (/ (sqrt n) (sqrt k))) (* (* (pow (* 2 PI) (/ (/ k 2) 2)) (pow (* 2 PI) (/ (/ k 2) 2))) (pow n (/ k 2))))) 130.631 * [simplify]: Simplifying (* (* (pow (* 2 PI) (/ (/ k 2) 2)) (pow (* 2 PI) (/ (/ k 2) 2))) (pow n (/ k 2))) 130.631 * * [simplify]: iters left: 6 (11 enodes) 130.634 * * [simplify]: iters left: 5 (47 enodes) 130.650 * * [simplify]: iters left: 4 (100 enodes) 130.687 * * [simplify]: iters left: 3 (275 enodes) 130.820 * * [simplify]: Extracting #0: cost 1 inf + 0 130.820 * * [simplify]: Extracting #1: cost 69 inf + 0 130.821 * * [simplify]: Extracting #2: cost 252 inf + 0 130.822 * * [simplify]: Extracting #3: cost 286 inf + 3 130.824 * * [simplify]: Extracting #4: cost 260 inf + 5404 130.829 * * [simplify]: Extracting #5: cost 157 inf + 59743 130.855 * * [simplify]: Extracting #6: cost 17 inf + 167167 130.888 * * [simplify]: Extracting #7: cost 0 inf + 173959 130.908 * [simplify]: Simplified to (* (pow n (/ k 2)) (pow (* 2 PI) (* 1/2 k))) 130.908 * [simplify]: Simplified (2 2) to (λ (k n) (/ (* (sqrt (* 2 PI)) (/ (sqrt n) (sqrt k))) (* (pow n (/ k 2)) (pow (* 2 PI) (* 1/2 k))))) 130.908 * * * * [progress]: [ 304 / 406 ] simplifiying candidate # 130.908 * [simplify]: Simplifying (* (* (* 1 (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ 1 2) 2))) (pow n (/ 1 2))) 130.908 * * [simplify]: iters left: 6 (17 enodes) 130.915 * * [simplify]: iters left: 5 (78 enodes) 130.942 * * [simplify]: iters left: 4 (178 enodes) 131.020 * * [simplify]: Extracting #0: cost 1 inf + 0 131.020 * * [simplify]: Extracting #1: cost 32 inf + 0 131.020 * * [simplify]: Extracting #2: cost 111 inf + 1 131.021 * * [simplify]: Extracting #3: cost 131 inf + 169 131.021 * * [simplify]: Extracting #4: cost 122 inf + 3799 131.022 * * [simplify]: Extracting #5: cost 91 inf + 12942 131.027 * * [simplify]: Extracting #6: cost 39 inf + 35179 131.038 * * [simplify]: Extracting #7: cost 6 inf + 53910 131.045 * * [simplify]: Extracting #8: cost 0 inf + 57920 131.051 * [simplify]: Simplified to (* (* (pow (* PI 2) (- 1/4 (/ k 4))) (pow (* PI 2) 1/4)) (sqrt n)) 131.051 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (* (pow (* PI 2) (- 1/4 (/ k 4))) (pow (* PI 2) 1/4)) (sqrt n)) (* (* (sqrt k) (pow (* 2 PI) (/ (/ k 2) 2))) (pow n (/ k 2))))) 131.052 * [simplify]: Simplifying (* (* (sqrt k) (pow (* 2 PI) (/ (/ k 2) 2))) (pow n (/ k 2))) 131.052 * * [simplify]: iters left: 6 (12 enodes) 131.055 * * [simplify]: iters left: 5 (49 enodes) 131.063 * * [simplify]: iters left: 4 (89 enodes) 131.093 * * [simplify]: iters left: 3 (220 enodes) 131.211 * * [simplify]: Extracting #0: cost 1 inf + 0 131.212 * * [simplify]: Extracting #1: cost 49 inf + 0 131.213 * * [simplify]: Extracting #2: cost 179 inf + 0 131.214 * * [simplify]: Extracting #3: cost 204 inf + 85 131.218 * * [simplify]: Extracting #4: cost 176 inf + 10025 131.230 * * [simplify]: Extracting #5: cost 90 inf + 50900 131.252 * * [simplify]: Extracting #6: cost 7 inf + 109227 131.276 * * [simplify]: Extracting #7: cost 0 inf + 111250 131.300 * * [simplify]: Extracting #8: cost 0 inf + 111170 131.324 * [simplify]: Simplified to (* (* (sqrt k) (pow (* 2 PI) (/ (/ k 2) 2))) (pow n (/ k 2))) 131.324 * [simplify]: Simplified (2 2) to (λ (k n) (/ (* (* (pow (* PI 2) (- 1/4 (/ k 4))) (pow (* PI 2) 1/4)) (sqrt n)) (* (* (sqrt k) (pow (* 2 PI) (/ (/ k 2) 2))) (pow n (/ k 2))))) 131.324 * * * * [progress]: [ 305 / 406 ] simplifiying candidate # 131.324 * [simplify]: Simplifying (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ 1 2) 2))) (pow n (/ 1 2))) 131.325 * * [simplify]: iters left: 6 (19 enodes) 131.339 * * [simplify]: iters left: 5 (87 enodes) 131.377 * * [simplify]: iters left: 4 (203 enodes) 131.453 * * [simplify]: Extracting #0: cost 1 inf + 0 131.453 * * [simplify]: Extracting #1: cost 50 inf + 0 131.453 * * [simplify]: Extracting #2: cost 172 inf + 1 131.454 * * [simplify]: Extracting #3: cost 193 inf + 423 131.455 * * [simplify]: Extracting #4: cost 167 inf + 8216 131.460 * * [simplify]: Extracting #5: cost 67 inf + 51959 131.469 * * [simplify]: Extracting #6: cost 4 inf + 89820 131.487 * * [simplify]: Extracting #7: cost 0 inf + 91773 131.507 * * [simplify]: Extracting #8: cost 0 inf + 91539 131.527 * [simplify]: Simplified to (* (* (pow (* 2 PI) 1/4) (/ (pow (* 2 PI) (/ (- 1 k) 4)) (sqrt k))) (sqrt n)) 131.527 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (* (pow (* 2 PI) 1/4) (/ (pow (* 2 PI) (/ (- 1 k) 4)) (sqrt k))) (sqrt n)) (* (pow (* 2 PI) (/ (/ k 2) 2)) (pow n (/ k 2))))) 131.528 * [simplify]: Simplifying (* (pow (* 2 PI) (/ (/ k 2) 2)) (pow n (/ k 2))) 131.528 * * [simplify]: iters left: 6 (10 enodes) 131.533 * * [simplify]: iters left: 5 (40 enodes) 131.542 * * [simplify]: iters left: 4 (73 enodes) 131.556 * * [simplify]: iters left: 3 (167 enodes) 131.636 * * [simplify]: Extracting #0: cost 1 inf + 0 131.636 * * [simplify]: Extracting #1: cost 27 inf + 0 131.639 * * [simplify]: Extracting #2: cost 111 inf + 0 131.639 * * [simplify]: Extracting #3: cost 138 inf + 2 131.640 * * [simplify]: Extracting #4: cost 124 inf + 1675 131.642 * * [simplify]: Extracting #5: cost 60 inf + 23565 131.649 * * [simplify]: Extracting #6: cost 2 inf + 62915 131.659 * * [simplify]: Extracting #7: cost 0 inf + 64109 131.672 * [simplify]: Simplified to (* (pow (* 2 PI) (/ (/ k 2) 2)) (pow n (/ k 2))) 131.673 * [simplify]: Simplified (2 2) to (λ (k n) (/ (* (* (pow (* 2 PI) 1/4) (/ (pow (* 2 PI) (/ (- 1 k) 4)) (sqrt k))) (sqrt n)) (* (pow (* 2 PI) (/ (/ k 2) 2)) (pow n (/ k 2))))) 131.673 * * * * [progress]: [ 306 / 406 ] simplifiying candidate # 131.673 * [simplify]: Simplifying (* (* (* 1 (pow (* 2 PI) (/ (/ 1 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ 1 2))) 131.674 * * [simplify]: iters left: 6 (17 enodes) 131.685 * * [simplify]: iters left: 5 (77 enodes) 131.719 * * [simplify]: iters left: 4 (168 enodes) 131.783 * * [simplify]: iters left: 3 (485 enodes) 132.154 * * [simplify]: Extracting #0: cost 1 inf + 0 132.154 * * [simplify]: Extracting #1: cost 81 inf + 0 132.155 * * [simplify]: Extracting #2: cost 354 inf + 1 132.157 * * [simplify]: Extracting #3: cost 386 inf + 48 132.160 * * [simplify]: Extracting #4: cost 374 inf + 7635 132.166 * * [simplify]: Extracting #5: cost 255 inf + 65038 132.194 * * [simplify]: Extracting #6: cost 34 inf + 226724 132.237 * * [simplify]: Extracting #7: cost 0 inf + 255233 132.295 * [simplify]: Simplified to (* (* (pow (* PI 2) (/ (- 1 k) 4)) (pow (* PI 2) 1/4)) (sqrt n)) 132.295 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (* (pow (* PI 2) (/ (- 1 k) 4)) (pow (* PI 2) 1/4)) (sqrt n)) (* (* (sqrt k) (pow (* 2 PI) (/ (/ k 2) 2))) (pow n (/ k 2))))) 132.296 * [simplify]: Simplifying (* (* (sqrt k) (pow (* 2 PI) (/ (/ k 2) 2))) (pow n (/ k 2))) 132.296 * * [simplify]: iters left: 6 (12 enodes) 132.303 * * [simplify]: iters left: 5 (49 enodes) 132.316 * * [simplify]: iters left: 4 (89 enodes) 132.335 * * [simplify]: iters left: 3 (220 enodes) 132.448 * * [simplify]: Extracting #0: cost 1 inf + 0 132.449 * * [simplify]: Extracting #1: cost 49 inf + 0 132.449 * * [simplify]: Extracting #2: cost 179 inf + 0 132.451 * * [simplify]: Extracting #3: cost 204 inf + 85 132.453 * * [simplify]: Extracting #4: cost 176 inf + 10025 132.464 * * [simplify]: Extracting #5: cost 90 inf + 50900 132.475 * * [simplify]: Extracting #6: cost 7 inf + 109227 132.487 * * [simplify]: Extracting #7: cost 0 inf + 111250 132.503 * * [simplify]: Extracting #8: cost 0 inf + 111170 132.517 * [simplify]: Simplified to (* (* (sqrt k) (pow (* 2 PI) (/ (/ k 2) 2))) (pow n (/ k 2))) 132.517 * [simplify]: Simplified (2 2) to (λ (k n) (/ (* (* (pow (* PI 2) (/ (- 1 k) 4)) (pow (* PI 2) 1/4)) (sqrt n)) (* (* (sqrt k) (pow (* 2 PI) (/ (/ k 2) 2))) (pow n (/ k 2))))) 132.517 * * * * [progress]: [ 307 / 406 ] simplifiying candidate # 132.518 * [simplify]: Simplifying (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ 1 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ 1 2))) 132.518 * * [simplify]: iters left: 6 (19 enodes) 132.525 * * [simplify]: iters left: 5 (87 enodes) 132.551 * * [simplify]: iters left: 4 (198 enodes) 132.647 * * [simplify]: Extracting #0: cost 1 inf + 0 132.647 * * [simplify]: Extracting #1: cost 33 inf + 0 132.648 * * [simplify]: Extracting #2: cost 155 inf + 0 132.650 * * [simplify]: Extracting #3: cost 186 inf + 217 132.653 * * [simplify]: Extracting #4: cost 150 inf + 10076 132.665 * * [simplify]: Extracting #5: cost 43 inf + 62587 132.674 * * [simplify]: Extracting #6: cost 1 inf + 86145 132.684 * * [simplify]: Extracting #7: cost 0 inf + 86365 132.694 * [simplify]: Simplified to (* (* (pow (* 2 PI) (/ (- 1 k) 4)) (/ (pow (* 2 PI) 1/4) (sqrt k))) (sqrt n)) 132.694 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (* (pow (* 2 PI) (/ (- 1 k) 4)) (/ (pow (* 2 PI) 1/4) (sqrt k))) (sqrt n)) (* (pow (* 2 PI) (/ (/ k 2) 2)) (pow n (/ k 2))))) 132.694 * [simplify]: Simplifying (* (pow (* 2 PI) (/ (/ k 2) 2)) (pow n (/ k 2))) 132.694 * * [simplify]: iters left: 6 (10 enodes) 132.697 * * [simplify]: iters left: 5 (40 enodes) 132.710 * * [simplify]: iters left: 4 (73 enodes) 132.724 * * [simplify]: iters left: 3 (167 enodes) 132.798 * * [simplify]: Extracting #0: cost 1 inf + 0 132.798 * * [simplify]: Extracting #1: cost 27 inf + 0 132.798 * * [simplify]: Extracting #2: cost 111 inf + 0 132.799 * * [simplify]: Extracting #3: cost 138 inf + 2 132.800 * * [simplify]: Extracting #4: cost 124 inf + 1675 132.802 * * [simplify]: Extracting #5: cost 60 inf + 23565 132.809 * * [simplify]: Extracting #6: cost 2 inf + 62915 132.824 * * [simplify]: Extracting #7: cost 0 inf + 64109 132.838 * [simplify]: Simplified to (* (pow (* 2 PI) (/ (/ k 2) 2)) (pow n (/ k 2))) 132.838 * [simplify]: Simplified (2 2) to (λ (k n) (/ (* (* (pow (* 2 PI) (/ (- 1 k) 4)) (/ (pow (* 2 PI) 1/4) (sqrt k))) (sqrt n)) (* (pow (* 2 PI) (/ (/ k 2) 2)) (pow n (/ k 2))))) 132.839 * * * * [progress]: [ 308 / 406 ] simplifiying candidate # 132.839 * [simplify]: Simplifying (* (* (* 1 (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ 1 2))) 132.839 * * [simplify]: iters left: 6 (15 enodes) 132.849 * * [simplify]: iters left: 5 (68 enodes) 132.870 * * [simplify]: iters left: 4 (148 enodes) 132.921 * * [simplify]: iters left: 3 (358 enodes) 133.139 * * [simplify]: Extracting #0: cost 1 inf + 0 133.139 * * [simplify]: Extracting #1: cost 55 inf + 0 133.140 * * [simplify]: Extracting #2: cost 197 inf + 1 133.141 * * [simplify]: Extracting #3: cost 231 inf + 261 133.142 * * [simplify]: Extracting #4: cost 223 inf + 4867 133.145 * * [simplify]: Extracting #5: cost 178 inf + 19604 133.156 * * [simplify]: Extracting #6: cost 36 inf + 103346 133.176 * * [simplify]: Extracting #7: cost 0 inf + 131774 133.207 * [simplify]: Simplified to (* (* (pow (* PI 2) (/ (- 1 k) 4)) (pow (* PI 2) (/ (- 1 k) 4))) (sqrt n)) 133.208 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (* (pow (* PI 2) (/ (- 1 k) 4)) (pow (* PI 2) (/ (- 1 k) 4))) (sqrt n)) (* (sqrt k) (pow n (/ k 2))))) 133.208 * [simplify]: Simplifying (* (sqrt k) (pow n (/ k 2))) 133.208 * * [simplify]: iters left: 5 (7 enodes) 133.212 * * [simplify]: iters left: 4 (25 enodes) 133.220 * * [simplify]: iters left: 3 (41 enodes) 133.234 * * [simplify]: iters left: 2 (79 enodes) 133.250 * * [simplify]: iters left: 1 (180 enodes) 133.697 * * [simplify]: Extracting #0: cost 1 inf + 0 133.697 * * [simplify]: Extracting #1: cost 23 inf + 0 133.697 * * [simplify]: Extracting #2: cost 86 inf + 0 133.698 * * [simplify]: Extracting #3: cost 107 inf + 45 133.699 * * [simplify]: Extracting #4: cost 97 inf + 1387 133.701 * * [simplify]: Extracting #5: cost 67 inf + 4932 133.706 * * [simplify]: Extracting #6: cost 24 inf + 26374 133.715 * * [simplify]: Extracting #7: cost 0 inf + 42198 133.724 * * [simplify]: Extracting #8: cost 0 inf + 41565 133.734 * [simplify]: Simplified to (* (pow n (/ k 2)) (sqrt k)) 133.734 * [simplify]: Simplified (2 2) to (λ (k n) (/ (* (* (pow (* PI 2) (/ (- 1 k) 4)) (pow (* PI 2) (/ (- 1 k) 4))) (sqrt n)) (* (pow n (/ k 2)) (sqrt k)))) 133.734 * * * * [progress]: [ 309 / 406 ] simplifiying candidate # 133.734 * * * * [progress]: [ 310 / 406 ] simplifiying candidate # 133.734 * [simplify]: Simplifying (pow (cbrt n) (/ (- 1 k) 2)) 133.735 * * [simplify]: iters left: 5 (8 enodes) 133.740 * * [simplify]: iters left: 4 (35 enodes) 133.752 * * [simplify]: iters left: 3 (56 enodes) 133.770 * * [simplify]: iters left: 2 (89 enodes) 133.805 * * [simplify]: iters left: 1 (175 enodes) 133.871 * * [simplify]: Extracting #0: cost 1 inf + 0 133.871 * * [simplify]: Extracting #1: cost 13 inf + 0 133.872 * * [simplify]: Extracting #2: cost 53 inf + 1 133.872 * * [simplify]: Extracting #3: cost 83 inf + 87 133.872 * * [simplify]: Extracting #4: cost 66 inf + 2244 133.874 * * [simplify]: Extracting #5: cost 25 inf + 8326 133.876 * * [simplify]: Extracting #6: cost 3 inf + 22145 133.879 * * [simplify]: Extracting #7: cost 0 inf + 24001 133.882 * * [simplify]: Extracting #8: cost 0 inf + 23780 133.886 * [simplify]: Simplified to (pow (cbrt n) (/ (- 1 k) 2)) 133.886 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2))) (pow (cbrt n) (/ (- 1 k) 2)))) 133.886 * * * * [progress]: [ 311 / 406 ] simplifiying candidate # 133.886 * [simplify]: Simplifying (pow (sqrt n) (/ (- 1 k) 2)) 133.886 * * [simplify]: iters left: 5 (8 enodes) 133.889 * * [simplify]: iters left: 4 (35 enodes) 133.895 * * [simplify]: iters left: 3 (56 enodes) 133.915 * * [simplify]: iters left: 2 (89 enodes) 133.932 * * [simplify]: iters left: 1 (175 enodes) 133.991 * * [simplify]: Extracting #0: cost 1 inf + 0 133.991 * * [simplify]: Extracting #1: cost 13 inf + 0 133.991 * * [simplify]: Extracting #2: cost 53 inf + 1 133.992 * * [simplify]: Extracting #3: cost 83 inf + 47 133.993 * * [simplify]: Extracting #4: cost 66 inf + 2084 133.995 * * [simplify]: Extracting #5: cost 25 inf + 7926 134.000 * * [simplify]: Extracting #6: cost 3 inf + 20905 134.006 * * [simplify]: Extracting #7: cost 0 inf + 22641 134.012 * * [simplify]: Extracting #8: cost 0 inf + 22420 134.018 * [simplify]: Simplified to (pow (sqrt n) (/ (- 1 k) 2)) 134.019 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (sqrt n) (/ (- 1 k) 2))) (pow (sqrt n) (/ (- 1 k) 2)))) 134.019 * * * * [progress]: [ 312 / 406 ] simplifiying candidate # 134.019 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 134.019 * * [simplify]: iters left: 5 (7 enodes) 134.024 * * [simplify]: iters left: 4 (32 enodes) 134.039 * * [simplify]: iters left: 3 (57 enodes) 134.049 * * [simplify]: iters left: 2 (88 enodes) 134.065 * * [simplify]: iters left: 1 (156 enodes) 134.108 * * [simplify]: Extracting #0: cost 1 inf + 0 134.108 * * [simplify]: Extracting #1: cost 13 inf + 0 134.109 * * [simplify]: Extracting #2: cost 49 inf + 2 134.109 * * [simplify]: Extracting #3: cost 80 inf + 6 134.109 * * [simplify]: Extracting #4: cost 58 inf + 1840 134.111 * * [simplify]: Extracting #5: cost 22 inf + 9206 134.114 * * [simplify]: Extracting #6: cost 1 inf + 20886 134.117 * * [simplify]: Extracting #7: cost 0 inf + 21301 134.119 * * [simplify]: Extracting #8: cost 0 inf + 21130 134.125 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 134.125 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow 1 (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 134.125 * * * * [progress]: [ 313 / 406 ] simplifiying candidate # 134.125 * [simplify]: Simplifying (cbrt (pow n (/ (- 1 k) 2))) 134.125 * * [simplify]: iters left: 6 (8 enodes) 134.128 * * [simplify]: iters left: 5 (35 enodes) 134.139 * * [simplify]: iters left: 4 (56 enodes) 134.149 * * [simplify]: iters left: 3 (89 enodes) 134.170 * * [simplify]: iters left: 2 (175 enodes) 134.235 * * [simplify]: iters left: 1 (337 enodes) 134.322 * * [simplify]: Extracting #0: cost 1 inf + 0 134.323 * * [simplify]: Extracting #1: cost 3 inf + 0 134.323 * * [simplify]: Extracting #2: cost 30 inf + 0 134.323 * * [simplify]: Extracting #3: cost 104 inf + 2 134.324 * * [simplify]: Extracting #4: cost 148 inf + 8 134.324 * * [simplify]: Extracting #5: cost 147 inf + 476 134.326 * * [simplify]: Extracting #6: cost 95 inf + 7468 134.330 * * [simplify]: Extracting #7: cost 47 inf + 23669 134.338 * * [simplify]: Extracting #8: cost 2 inf + 55866 134.347 * * [simplify]: Extracting #9: cost 0 inf + 57121 134.355 * * [simplify]: Extracting #10: cost 0 inf + 56487 134.364 * [simplify]: Simplified to (cbrt (pow n (* 1/2 (- 1 k)))) 134.364 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2))))) (cbrt (pow n (* 1/2 (- 1 k)))))) 134.364 * * * * [progress]: [ 314 / 406 ] simplifiying candidate # 134.364 * [simplify]: Simplifying (sqrt (pow n (/ (- 1 k) 2))) 134.364 * * [simplify]: iters left: 6 (8 enodes) 134.369 * * [simplify]: iters left: 5 (35 enodes) 134.382 * * [simplify]: iters left: 4 (57 enodes) 134.404 * * [simplify]: iters left: 3 (90 enodes) 134.438 * * [simplify]: iters left: 2 (176 enodes) 134.505 * * [simplify]: iters left: 1 (337 enodes) 134.652 * * [simplify]: Extracting #0: cost 1 inf + 0 134.652 * * [simplify]: Extracting #1: cost 4 inf + 0 134.652 * * [simplify]: Extracting #2: cost 32 inf + 0 134.653 * * [simplify]: Extracting #3: cost 112 inf + 2 134.654 * * [simplify]: Extracting #4: cost 140 inf + 9 134.655 * * [simplify]: Extracting #5: cost 140 inf + 138 134.657 * * [simplify]: Extracting #6: cost 89 inf + 7770 134.662 * * [simplify]: Extracting #7: cost 47 inf + 18849 134.668 * * [simplify]: Extracting #8: cost 7 inf + 47750 134.677 * * [simplify]: Extracting #9: cost 0 inf + 52260 134.685 * * [simplify]: Extracting #10: cost 0 inf + 52048 134.697 * [simplify]: Simplified to (sqrt (pow n (/ (- 1 k) 2))) 134.698 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (sqrt (pow n (/ (- 1 k) 2)))) (sqrt (pow n (/ (- 1 k) 2))))) 134.698 * * * * [progress]: [ 315 / 406 ] simplifiying candidate # 134.698 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 134.698 * * [simplify]: iters left: 5 (7 enodes) 134.703 * * [simplify]: iters left: 4 (32 enodes) 134.715 * * [simplify]: iters left: 3 (57 enodes) 134.734 * * [simplify]: iters left: 2 (88 enodes) 134.756 * * [simplify]: iters left: 1 (156 enodes) 134.810 * * [simplify]: Extracting #0: cost 1 inf + 0 134.810 * * [simplify]: Extracting #1: cost 13 inf + 0 134.811 * * [simplify]: Extracting #2: cost 49 inf + 2 134.811 * * [simplify]: Extracting #3: cost 80 inf + 6 134.811 * * [simplify]: Extracting #4: cost 58 inf + 1840 134.813 * * [simplify]: Extracting #5: cost 22 inf + 9206 134.816 * * [simplify]: Extracting #6: cost 1 inf + 20886 134.819 * * [simplify]: Extracting #7: cost 0 inf + 21301 134.822 * * [simplify]: Extracting #8: cost 0 inf + 21130 134.825 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 134.825 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 1) (pow n (/ (- 1 k) 2)))) 134.825 * * * * [progress]: [ 316 / 406 ] simplifiying candidate # 134.825 * [simplify]: Simplifying (pow n (/ (/ (- 1 k) 2) 2)) 134.825 * * [simplify]: iters left: 6 (8 enodes) 134.828 * * [simplify]: iters left: 5 (38 enodes) 134.842 * * [simplify]: iters left: 4 (66 enodes) 134.863 * * [simplify]: iters left: 3 (110 enodes) 134.887 * * [simplify]: iters left: 2 (200 enodes) 134.946 * * [simplify]: iters left: 1 (403 enodes) 135.137 * * [simplify]: Extracting #0: cost 1 inf + 0 135.137 * * [simplify]: Extracting #1: cost 26 inf + 0 135.138 * * [simplify]: Extracting #2: cost 100 inf + 2 135.139 * * [simplify]: Extracting #3: cost 164 inf + 10 135.140 * * [simplify]: Extracting #4: cost 157 inf + 1472 135.147 * * [simplify]: Extracting #5: cost 64 inf + 19273 135.161 * * [simplify]: Extracting #6: cost 8 inf + 47461 135.177 * * [simplify]: Extracting #7: cost 0 inf + 52807 135.187 * [simplify]: Simplified to (pow n (- 1/4 (/ k 4))) 135.187 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (/ (- 1 k) 2) 2))) (pow n (- 1/4 (/ k 4))))) 135.187 * * * * [progress]: [ 317 / 406 ] simplifiying candidate # 135.190 * [simplify]: Simplifying (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 135.190 * * [simplify]: iters left: 6 (12 enodes) 135.194 * * [simplify]: iters left: 5 (54 enodes) 135.206 * * [simplify]: iters left: 4 (92 enodes) 135.234 * * [simplify]: iters left: 3 (178 enodes) 135.288 * * [simplify]: iters left: 2 (378 enodes) 135.419 * * [simplify]: Extracting #0: cost 1 inf + 0 135.419 * * [simplify]: Extracting #1: cost 42 inf + 0 135.419 * * [simplify]: Extracting #2: cost 128 inf + 1 135.420 * * [simplify]: Extracting #3: cost 178 inf + 127 135.422 * * [simplify]: Extracting #4: cost 148 inf + 9271 135.429 * * [simplify]: Extracting #5: cost 52 inf + 48019 135.442 * * [simplify]: Extracting #6: cost 1 inf + 71384 135.470 * * [simplify]: Extracting #7: cost 0 inf + 71098 135.490 * * [simplify]: Extracting #8: cost 0 inf + 70978 135.503 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/4 (- 1 k))) (sqrt k)) 135.503 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* 2 PI) (* 1/4 (- 1 k))) (sqrt k)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 135.503 * * * * [progress]: [ 318 / 406 ] simplifiying candidate # 135.504 * [simplify]: Simplifying (pow n (/ k 2)) 135.504 * * [simplify]: iters left: 3 (5 enodes) 135.505 * * [simplify]: iters left: 2 (18 enodes) 135.509 * * [simplify]: iters left: 1 (30 enodes) 135.515 * * [simplify]: Extracting #0: cost 1 inf + 0 135.515 * * [simplify]: Extracting #1: cost 10 inf + 0 135.515 * * [simplify]: Extracting #2: cost 23 inf + 1 135.516 * * [simplify]: Extracting #3: cost 23 inf + 46 135.516 * * [simplify]: Extracting #4: cost 11 inf + 1346 135.516 * * [simplify]: Extracting #5: cost 1 inf + 3938 135.517 * * [simplify]: Extracting #6: cost 0 inf + 4111 135.517 * * [simplify]: Extracting #7: cost 0 inf + 4070 135.517 * [simplify]: Simplified to (pow n (/ k 2)) 135.517 * [simplify]: Simplified (2 2) to (λ (k n) (/ (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ 1 2))) (pow n (/ k 2)))) 135.518 * * * * [progress]: [ 319 / 406 ] simplifiying candidate # 135.518 * [simplify]: Simplifying (* (* (* 1 (pow (* 2 PI) (/ (/ 1 2) 2))) (pow (* 2 PI) (/ (/ 1 2) 2))) (pow n (/ (- 1 k) 2))) 135.518 * * [simplify]: iters left: 6 (15 enodes) 135.524 * * [simplify]: iters left: 5 (68 enodes) 135.547 * * [simplify]: iters left: 4 (133 enodes) 135.603 * * [simplify]: iters left: 3 (320 enodes) 135.826 * * [simplify]: Extracting #0: cost 1 inf + 0 135.826 * * [simplify]: Extracting #1: cost 53 inf + 0 135.827 * * [simplify]: Extracting #2: cost 200 inf + 1 135.829 * * [simplify]: Extracting #3: cost 221 inf + 8 135.830 * * [simplify]: Extracting #4: cost 219 inf + 1191 135.832 * * [simplify]: Extracting #5: cost 166 inf + 22248 135.843 * * [simplify]: Extracting #6: cost 41 inf + 96128 135.863 * * [simplify]: Extracting #7: cost 0 inf + 126403 135.885 * * [simplify]: Extracting #8: cost 0 inf + 125320 135.905 * [simplify]: Simplified to (* (pow n (/ (- 1 k) 2)) (sqrt (* PI 2))) 135.906 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (sqrt (* PI 2))) (* (* (sqrt k) (pow (* 2 PI) (/ (/ k 2) 2))) (pow (* 2 PI) (/ (/ k 2) 2))))) 135.906 * * * * [progress]: [ 320 / 406 ] simplifiying candidate # 135.906 * [simplify]: Simplifying (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ 1 2) 2))) (pow (* 2 PI) (/ (/ 1 2) 2))) (pow n (/ (- 1 k) 2))) 135.907 * * [simplify]: iters left: 6 (17 enodes) 135.919 * * [simplify]: iters left: 5 (78 enodes) 135.947 * * [simplify]: iters left: 4 (166 enodes) 136.000 * * [simplify]: iters left: 3 (465 enodes) 136.446 * * [simplify]: Extracting #0: cost 1 inf + 0 136.446 * * [simplify]: Extracting #1: cost 88 inf + 0 136.448 * * [simplify]: Extracting #2: cost 359 inf + 1 136.452 * * [simplify]: Extracting #3: cost 384 inf + 255 136.457 * * [simplify]: Extracting #4: cost 313 inf + 35276 136.484 * * [simplify]: Extracting #5: cost 53 inf + 206083 136.520 * * [simplify]: Extracting #6: cost 0 inf + 242301 136.549 * * [simplify]: Extracting #7: cost 0 inf + 241173 136.585 * [simplify]: Simplified to (* (/ (sqrt (* 2 PI)) (sqrt k)) (pow n (/ (- 1 k) 2))) 136.585 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (/ (sqrt (* 2 PI)) (sqrt k)) (pow n (/ (- 1 k) 2))) (* (pow (* 2 PI) (/ (/ k 2) 2)) (pow (* 2 PI) (/ (/ k 2) 2))))) 136.585 * * * * [progress]: [ 321 / 406 ] simplifiying candidate # 136.585 * [simplify]: Simplifying (* (* (* 1 (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ 1 2) 2))) (pow n (/ (- 1 k) 2))) 136.585 * * [simplify]: iters left: 6 (17 enodes) 136.593 * * [simplify]: iters left: 5 (78 enodes) 136.610 * * [simplify]: iters left: 4 (169 enodes) 136.688 * * [simplify]: iters left: 3 (486 enodes) 137.055 * * [simplify]: Extracting #0: cost 1 inf + 0 137.056 * * [simplify]: Extracting #1: cost 82 inf + 0 137.058 * * [simplify]: Extracting #2: cost 349 inf + 1 137.066 * * [simplify]: Extracting #3: cost 392 inf + 6 137.070 * * [simplify]: Extracting #4: cost 386 inf + 4266 137.079 * * [simplify]: Extracting #5: cost 296 inf + 40825 137.116 * * [simplify]: Extracting #6: cost 91 inf + 192750 137.154 * * [simplify]: Extracting #7: cost 6 inf + 268322 137.220 * * [simplify]: Extracting #8: cost 0 inf + 272779 137.285 * [simplify]: Simplified to (* (* (pow (* PI 2) (/ (- 1 k) 4)) (pow (* PI 2) 1/4)) (pow n (/ (- 1 k) 2))) 137.285 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (* (pow (* PI 2) (/ (- 1 k) 4)) (pow (* PI 2) 1/4)) (pow n (/ (- 1 k) 2))) (* (sqrt k) (pow (* 2 PI) (/ (/ k 2) 2))))) 137.285 * * * * [progress]: [ 322 / 406 ] simplifiying candidate # 137.286 * [simplify]: Simplifying (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ 1 2) 2))) (pow n (/ (- 1 k) 2))) 137.286 * * [simplify]: iters left: 6 (19 enodes) 137.293 * * [simplify]: iters left: 5 (87 enodes) 137.311 * * [simplify]: iters left: 4 (194 enodes) 137.394 * * [simplify]: Extracting #0: cost 1 inf + 0 137.395 * * [simplify]: Extracting #1: cost 50 inf + 0 137.396 * * [simplify]: Extracting #2: cost 173 inf + 1 137.397 * * [simplify]: Extracting #3: cost 197 inf + 332 137.399 * * [simplify]: Extracting #4: cost 181 inf + 3872 137.409 * * [simplify]: Extracting #5: cost 85 inf + 48646 137.431 * * [simplify]: Extracting #6: cost 3 inf + 104580 137.455 * * [simplify]: Extracting #7: cost 0 inf + 105087 137.466 * * [simplify]: Extracting #8: cost 0 inf + 104927 137.477 * [simplify]: Simplified to (* (* (pow (* 2 PI) 1/4) (/ (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (sqrt k))) (pow n (/ (- 1 k) 2))) 137.477 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (* (pow (* 2 PI) 1/4) (/ (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (sqrt k))) (pow n (/ (- 1 k) 2))) (pow (* 2 PI) (/ (/ k 2) 2)))) 137.477 * * * * [progress]: [ 323 / 406 ] simplifiying candidate # 137.478 * [simplify]: Simplifying (* (* (* 1 (pow (* 2 PI) (/ (/ 1 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2))) 137.478 * * [simplify]: iters left: 6 (17 enodes) 137.487 * * [simplify]: iters left: 5 (77 enodes) 137.516 * * [simplify]: iters left: 4 (158 enodes) 137.573 * * [simplify]: iters left: 3 (457 enodes) 138.020 * * [simplify]: Extracting #0: cost 1 inf + 0 138.020 * * [simplify]: Extracting #1: cost 96 inf + 0 138.021 * * [simplify]: Extracting #2: cost 397 inf + 1 138.023 * * [simplify]: Extracting #3: cost 437 inf + 6 138.025 * * [simplify]: Extracting #4: cost 438 inf + 1109 138.030 * * [simplify]: Extracting #5: cost 368 inf + 31313 138.043 * * [simplify]: Extracting #6: cost 230 inf + 115489 138.086 * * [simplify]: Extracting #7: cost 46 inf + 272671 138.131 * * [simplify]: Extracting #8: cost 0 inf + 314434 138.175 * * [simplify]: Extracting #9: cost 0 inf + 314353 138.226 * [simplify]: Simplified to (* (* (pow (* PI 2) (/ (- 1 k) 4)) (pow (* PI 2) 1/4)) (pow n (/ (- 1 k) 2))) 138.227 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (* (pow (* PI 2) (/ (- 1 k) 4)) (pow (* PI 2) 1/4)) (pow n (/ (- 1 k) 2))) (* (sqrt k) (pow (* 2 PI) (/ (/ k 2) 2))))) 138.227 * * * * [progress]: [ 324 / 406 ] simplifiying candidate # 138.227 * [simplify]: Simplifying (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ 1 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2))) 138.227 * * [simplify]: iters left: 6 (19 enodes) 138.238 * * [simplify]: iters left: 5 (87 enodes) 138.259 * * [simplify]: iters left: 4 (189 enodes) 138.336 * * [simplify]: Extracting #0: cost 1 inf + 0 138.336 * * [simplify]: Extracting #1: cost 37 inf + 0 138.337 * * [simplify]: Extracting #2: cost 163 inf + 0 138.338 * * [simplify]: Extracting #3: cost 194 inf + 4 138.340 * * [simplify]: Extracting #4: cost 163 inf + 7491 138.353 * * [simplify]: Extracting #5: cost 57 inf + 63665 138.371 * * [simplify]: Extracting #6: cost 1 inf + 98755 138.382 * * [simplify]: Extracting #7: cost 0 inf + 98934 138.392 * [simplify]: Simplified to (* (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (/ (pow (* 2 PI) 1/4) (sqrt k))) (pow n (/ (- 1 k) 2))) 138.392 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (/ (pow (* 2 PI) 1/4) (sqrt k))) (pow n (/ (- 1 k) 2))) (pow (* 2 PI) (/ (/ k 2) 2)))) 138.393 * * * * [progress]: [ 325 / 406 ] simplifiying candidate # 138.393 * [simplify]: Simplifying (* (* (* 1 (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2))) 138.393 * * [simplify]: iters left: 6 (14 enodes) 138.398 * * [simplify]: iters left: 5 (64 enodes) 138.428 * * [simplify]: iters left: 4 (134 enodes) 138.488 * * [simplify]: iters left: 3 (328 enodes) 138.755 * * [simplify]: Extracting #0: cost 1 inf + 0 138.755 * * [simplify]: Extracting #1: cost 49 inf + 0 138.756 * * [simplify]: Extracting #2: cost 203 inf + 1 138.757 * * [simplify]: Extracting #3: cost 249 inf + 4 138.758 * * [simplify]: Extracting #4: cost 252 inf + 97 138.760 * * [simplify]: Extracting #5: cost 222 inf + 3517 138.765 * * [simplify]: Extracting #6: cost 124 inf + 51783 138.787 * * [simplify]: Extracting #7: cost 4 inf + 149584 138.827 * * [simplify]: Extracting #8: cost 0 inf + 149455 138.868 * [simplify]: Simplified to (* (* (pow n (/ (- 1 k) 4)) (pow (* PI 2) (/ (- 1 k) 4))) (* (pow n (/ (- 1 k) 4)) (pow (* PI 2) (/ (- 1 k) 4)))) 138.868 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (* (pow n (/ (- 1 k) 4)) (pow (* PI 2) (/ (- 1 k) 4))) (* (pow n (/ (- 1 k) 4)) (pow (* PI 2) (/ (- 1 k) 4)))) (sqrt k))) 138.868 * * * * [progress]: [ 326 / 406 ] simplifiying candidate #real (real->posit16 (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2))))))> 138.868 * * * * [progress]: [ 327 / 406 ] simplifiying candidate # 138.868 * * * * [progress]: [ 328 / 406 ] simplifiying candidate # 138.868 * * * * [progress]: [ 329 / 406 ] simplifiying candidate # 138.868 * [simplify]: Simplifying (+ (- (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) 138.869 * * [simplify]: iters left: 6 (15 enodes) 138.877 * * [simplify]: iters left: 5 (61 enodes) 138.897 * * [simplify]: iters left: 4 (96 enodes) 138.915 * * [simplify]: iters left: 3 (178 enodes) 138.944 * * [simplify]: iters left: 2 (309 enodes) 139.064 * * [simplify]: Extracting #0: cost 1 inf + 0 139.064 * * [simplify]: Extracting #1: cost 20 inf + 0 139.064 * * [simplify]: Extracting #2: cost 99 inf + 0 139.065 * * [simplify]: Extracting #3: cost 150 inf + 339 139.067 * * [simplify]: Extracting #4: cost 141 inf + 2660 139.071 * * [simplify]: Extracting #5: cost 57 inf + 17388 139.082 * * [simplify]: Extracting #6: cost 4 inf + 30612 139.089 * * [simplify]: Extracting #7: cost 0 inf + 32188 139.095 * [simplify]: Simplified to (- (/ (- (+ (log 2) (log PI)) (* k (+ (log 2) (log PI)))) 4) (log (sqrt k))) 139.095 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (exp (- (/ (- (+ (log 2) (log PI)) (* k (+ (log 2) (log PI)))) 4) (log (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 139.095 * * * * [progress]: [ 330 / 406 ] simplifiying candidate # 139.095 * [simplify]: Simplifying (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 139.096 * * [simplify]: iters left: 6 (14 enodes) 139.100 * * [simplify]: iters left: 5 (61 enodes) 139.110 * * [simplify]: iters left: 4 (99 enodes) 139.139 * * [simplify]: iters left: 3 (171 enodes) 139.169 * * [simplify]: iters left: 2 (290 enodes) 139.258 * * [simplify]: Extracting #0: cost 1 inf + 0 139.258 * * [simplify]: Extracting #1: cost 20 inf + 0 139.259 * * [simplify]: Extracting #2: cost 101 inf + 0 139.259 * * [simplify]: Extracting #3: cost 156 inf + 5 139.260 * * [simplify]: Extracting #4: cost 149 inf + 1330 139.263 * * [simplify]: Extracting #5: cost 45 inf + 17453 139.268 * * [simplify]: Extracting #6: cost 0 inf + 28980 139.273 * [simplify]: Simplified to (- (/ (- (log (* 2 PI)) (* (log (* 2 PI)) k)) 4) (log (sqrt k))) 139.273 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (exp (- (/ (- (log (* 2 PI)) (* (log (* 2 PI)) k)) 4) (log (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 139.273 * * * * [progress]: [ 331 / 406 ] simplifiying candidate # 139.273 * [simplify]: Simplifying (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 139.274 * * [simplify]: iters left: 6 (14 enodes) 139.278 * * [simplify]: iters left: 5 (61 enodes) 139.289 * * [simplify]: iters left: 4 (99 enodes) 139.313 * * [simplify]: iters left: 3 (171 enodes) 139.351 * * [simplify]: iters left: 2 (290 enodes) 139.437 * * [simplify]: Extracting #0: cost 1 inf + 0 139.437 * * [simplify]: Extracting #1: cost 20 inf + 0 139.438 * * [simplify]: Extracting #2: cost 101 inf + 0 139.438 * * [simplify]: Extracting #3: cost 156 inf + 5 139.439 * * [simplify]: Extracting #4: cost 149 inf + 1330 139.441 * * [simplify]: Extracting #5: cost 45 inf + 17453 139.447 * * [simplify]: Extracting #6: cost 0 inf + 28980 139.452 * [simplify]: Simplified to (- (/ (- (log (* 2 PI)) (* (log (* 2 PI)) k)) 4) (log (sqrt k))) 139.452 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (exp (- (/ (- (log (* 2 PI)) (* (log (* 2 PI)) k)) 4) (log (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 139.453 * * * * [progress]: [ 332 / 406 ] simplifiying candidate # 139.453 * [simplify]: Simplifying (+ (- (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 139.453 * * [simplify]: iters left: 6 (14 enodes) 139.457 * * [simplify]: iters left: 5 (60 enodes) 139.475 * * [simplify]: iters left: 4 (102 enodes) 139.501 * * [simplify]: iters left: 3 (199 enodes) 139.545 * * [simplify]: iters left: 2 (448 enodes) 139.706 * * [simplify]: Extracting #0: cost 1 inf + 0 139.706 * * [simplify]: Extracting #1: cost 40 inf + 0 139.707 * * [simplify]: Extracting #2: cost 206 inf + 0 139.708 * * [simplify]: Extracting #3: cost 286 inf + 8 139.712 * * [simplify]: Extracting #4: cost 269 inf + 6124 139.728 * * [simplify]: Extracting #5: cost 78 inf + 51852 139.757 * * [simplify]: Extracting #6: cost 2 inf + 80260 139.787 * * [simplify]: Extracting #7: cost 0 inf + 80791 139.820 * [simplify]: Simplified to (- (* (log (* 2 PI)) (- 1/4 (/ k 4))) (log (sqrt k))) 139.820 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (exp (- (* (log (* 2 PI)) (- 1/4 (/ k 4))) (log (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 139.820 * * * * [progress]: [ 333 / 406 ] simplifiying candidate # 139.820 * [simplify]: Simplifying (+ (- 0 (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) 139.821 * * [simplify]: iters left: 6 (16 enodes) 139.826 * * [simplify]: iters left: 5 (67 enodes) 139.838 * * [simplify]: iters left: 4 (113 enodes) 139.859 * * [simplify]: iters left: 3 (245 enodes) 139.925 * * [simplify]: Extracting #0: cost 1 inf + 0 139.925 * * [simplify]: Extracting #1: cost 26 inf + 0 139.926 * * [simplify]: Extracting #2: cost 116 inf + 1 139.926 * * [simplify]: Extracting #3: cost 160 inf + 297 139.927 * * [simplify]: Extracting #4: cost 150 inf + 1319 139.930 * * [simplify]: Extracting #5: cost 51 inf + 22584 139.936 * * [simplify]: Extracting #6: cost 3 inf + 36526 139.943 * * [simplify]: Extracting #7: cost 0 inf + 37638 139.950 * [simplify]: Simplified to (- (* (+ (log PI) (log 2)) (/ (- 1 k) 4)) (log (sqrt k))) 139.950 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (exp (- (* (+ (log PI) (log 2)) (/ (- 1 k) 4)) (log (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 139.950 * * * * [progress]: [ 334 / 406 ] simplifiying candidate # 139.951 * [simplify]: Simplifying (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 139.951 * * [simplify]: iters left: 6 (15 enodes) 139.960 * * [simplify]: iters left: 5 (67 enodes) 139.980 * * [simplify]: iters left: 4 (116 enodes) 140.004 * * [simplify]: iters left: 3 (228 enodes) 140.057 * * [simplify]: Extracting #0: cost 1 inf + 0 140.058 * * [simplify]: Extracting #1: cost 21 inf + 0 140.058 * * [simplify]: Extracting #2: cost 100 inf + 1 140.058 * * [simplify]: Extracting #3: cost 151 inf + 3 140.059 * * [simplify]: Extracting #4: cost 142 inf + 996 140.061 * * [simplify]: Extracting #5: cost 58 inf + 15277 140.066 * * [simplify]: Extracting #6: cost 1 inf + 29398 140.077 * * [simplify]: Extracting #7: cost 0 inf + 29742 140.083 * [simplify]: Simplified to (- (* (- 1/4 (/ k 4)) (log (* 2 PI))) (log (sqrt k))) 140.083 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (exp (- (* (- 1/4 (/ k 4)) (log (* 2 PI))) (log (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 140.083 * * * * [progress]: [ 335 / 406 ] simplifiying candidate # 140.083 * [simplify]: Simplifying (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 140.083 * * [simplify]: iters left: 6 (15 enodes) 140.088 * * [simplify]: iters left: 5 (67 enodes) 140.101 * * [simplify]: iters left: 4 (116 enodes) 140.133 * * [simplify]: iters left: 3 (228 enodes) 140.190 * * [simplify]: Extracting #0: cost 1 inf + 0 140.190 * * [simplify]: Extracting #1: cost 21 inf + 0 140.191 * * [simplify]: Extracting #2: cost 100 inf + 1 140.192 * * [simplify]: Extracting #3: cost 151 inf + 3 140.193 * * [simplify]: Extracting #4: cost 142 inf + 996 140.197 * * [simplify]: Extracting #5: cost 58 inf + 15277 140.207 * * [simplify]: Extracting #6: cost 1 inf + 29398 140.218 * * [simplify]: Extracting #7: cost 0 inf + 29742 140.229 * [simplify]: Simplified to (- (* (- 1/4 (/ k 4)) (log (* 2 PI))) (log (sqrt k))) 140.229 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (exp (- (* (- 1/4 (/ k 4)) (log (* 2 PI))) (log (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 140.230 * * * * [progress]: [ 336 / 406 ] simplifiying candidate # 140.230 * [simplify]: Simplifying (+ (- 0 (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 140.230 * * [simplify]: iters left: 6 (15 enodes) 140.238 * * [simplify]: iters left: 5 (66 enodes) 140.251 * * [simplify]: iters left: 4 (116 enodes) 140.281 * * [simplify]: iters left: 3 (241 enodes) 140.393 * * [simplify]: Extracting #0: cost 1 inf + 0 140.393 * * [simplify]: Extracting #1: cost 23 inf + 0 140.393 * * [simplify]: Extracting #2: cost 130 inf + 1 140.395 * * [simplify]: Extracting #3: cost 210 inf + 3 140.397 * * [simplify]: Extracting #4: cost 191 inf + 4569 140.409 * * [simplify]: Extracting #5: cost 53 inf + 32602 140.417 * * [simplify]: Extracting #6: cost 2 inf + 46728 140.426 * * [simplify]: Extracting #7: cost 0 inf + 47559 140.435 * [simplify]: Simplified to (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))) 140.435 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (exp (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 140.435 * * * * [progress]: [ 337 / 406 ] simplifiying candidate # 140.436 * [simplify]: Simplifying (+ (- (log 1) (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) 140.436 * * [simplify]: iters left: 6 (16 enodes) 140.446 * * [simplify]: iters left: 5 (68 enodes) 140.467 * * [simplify]: iters left: 4 (108 enodes) 140.504 * * [simplify]: iters left: 3 (229 enodes) 140.565 * * [simplify]: Extracting #0: cost 1 inf + 0 140.565 * * [simplify]: Extracting #1: cost 21 inf + 0 140.565 * * [simplify]: Extracting #2: cost 111 inf + 1 140.566 * * [simplify]: Extracting #3: cost 156 inf + 185 140.567 * * [simplify]: Extracting #4: cost 143 inf + 1543 140.572 * * [simplify]: Extracting #5: cost 56 inf + 20559 140.583 * * [simplify]: Extracting #6: cost 1 inf + 35080 140.594 * * [simplify]: Extracting #7: cost 0 inf + 35274 140.600 * [simplify]: Simplified to (- (/ (+ (log PI) (log 2)) (/ 4 (- 1 k))) (log (sqrt k))) 140.600 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (exp (- (/ (+ (log PI) (log 2)) (/ 4 (- 1 k))) (log (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 140.600 * * * * [progress]: [ 338 / 406 ] simplifiying candidate # 140.600 * [simplify]: Simplifying (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 140.600 * * [simplify]: iters left: 6 (15 enodes) 140.605 * * [simplify]: iters left: 5 (68 enodes) 140.619 * * [simplify]: iters left: 4 (111 enodes) 140.639 * * [simplify]: iters left: 3 (220 enodes) 140.696 * * [simplify]: iters left: 2 (477 enodes) 140.899 * * [simplify]: Extracting #0: cost 1 inf + 0 140.899 * * [simplify]: Extracting #1: cost 38 inf + 0 140.900 * * [simplify]: Extracting #2: cost 195 inf + 1 140.901 * * [simplify]: Extracting #3: cost 289 inf + 299 140.903 * * [simplify]: Extracting #4: cost 204 inf + 14258 140.913 * * [simplify]: Extracting #5: cost 21 inf + 54869 140.925 * * [simplify]: Extracting #6: cost 0 inf + 59662 140.937 * [simplify]: Simplified to (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k))) 140.937 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (exp (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 140.937 * * * * [progress]: [ 339 / 406 ] simplifiying candidate # 140.938 * [simplify]: Simplifying (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 140.938 * * [simplify]: iters left: 6 (15 enodes) 140.943 * * [simplify]: iters left: 5 (68 enodes) 140.954 * * [simplify]: iters left: 4 (111 enodes) 140.976 * * [simplify]: iters left: 3 (220 enodes) 141.034 * * [simplify]: iters left: 2 (477 enodes) 141.240 * * [simplify]: Extracting #0: cost 1 inf + 0 141.240 * * [simplify]: Extracting #1: cost 38 inf + 0 141.243 * * [simplify]: Extracting #2: cost 195 inf + 1 141.244 * * [simplify]: Extracting #3: cost 289 inf + 299 141.247 * * [simplify]: Extracting #4: cost 204 inf + 14258 141.257 * * [simplify]: Extracting #5: cost 21 inf + 54869 141.269 * * [simplify]: Extracting #6: cost 0 inf + 59662 141.281 * [simplify]: Simplified to (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k))) 141.281 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (exp (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 141.281 * * * * [progress]: [ 340 / 406 ] simplifiying candidate # 141.282 * [simplify]: Simplifying (+ (- (log 1) (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 141.282 * * [simplify]: iters left: 6 (15 enodes) 141.287 * * [simplify]: iters left: 5 (67 enodes) 141.299 * * [simplify]: iters left: 4 (111 enodes) 141.340 * * [simplify]: iters left: 3 (237 enodes) 141.447 * * [simplify]: Extracting #0: cost 1 inf + 0 141.447 * * [simplify]: Extracting #1: cost 23 inf + 0 141.448 * * [simplify]: Extracting #2: cost 128 inf + 1 141.449 * * [simplify]: Extracting #3: cost 207 inf + 3 141.451 * * [simplify]: Extracting #4: cost 175 inf + 6820 141.459 * * [simplify]: Extracting #5: cost 69 inf + 27027 141.477 * * [simplify]: Extracting #6: cost 2 inf + 46869 141.485 * * [simplify]: Extracting #7: cost 0 inf + 47298 141.493 * [simplify]: Simplified to (- (* (/ (- 1 k) 4) (log (* PI 2))) (log (sqrt k))) 141.493 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (exp (- (* (/ (- 1 k) 4) (log (* PI 2))) (log (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 141.493 * * * * [progress]: [ 341 / 406 ] simplifiying candidate # 141.494 * [simplify]: Simplifying (+ (log (/ 1 (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) 141.494 * * [simplify]: iters left: 6 (15 enodes) 141.499 * * [simplify]: iters left: 5 (65 enodes) 141.510 * * [simplify]: iters left: 4 (102 enodes) 141.545 * * [simplify]: iters left: 3 (188 enodes) 141.585 * * [simplify]: iters left: 2 (333 enodes) 141.700 * * [simplify]: Extracting #0: cost 1 inf + 0 141.700 * * [simplify]: Extracting #1: cost 24 inf + 0 141.700 * * [simplify]: Extracting #2: cost 128 inf + 1 141.701 * * [simplify]: Extracting #3: cost 185 inf + 77 141.703 * * [simplify]: Extracting #4: cost 136 inf + 10161 141.708 * * [simplify]: Extracting #5: cost 21 inf + 34674 141.724 * * [simplify]: Extracting #6: cost 0 inf + 41265 141.740 * [simplify]: Simplified to (- (/ (- (+ (log PI) (log 2)) (* k (+ (log PI) (log 2)))) 4) (log (sqrt k))) 141.740 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (exp (- (/ (- (+ (log PI) (log 2)) (* k (+ (log PI) (log 2)))) 4) (log (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 141.740 * * * * [progress]: [ 342 / 406 ] simplifiying candidate # 141.740 * [simplify]: Simplifying (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 141.740 * * [simplify]: iters left: 6 (14 enodes) 141.749 * * [simplify]: iters left: 5 (65 enodes) 141.773 * * [simplify]: iters left: 4 (105 enodes) 141.807 * * [simplify]: iters left: 3 (181 enodes) 141.846 * * [simplify]: iters left: 2 (316 enodes) 141.958 * * [simplify]: Extracting #0: cost 1 inf + 0 141.958 * * [simplify]: Extracting #1: cost 26 inf + 0 141.958 * * [simplify]: Extracting #2: cost 132 inf + 1 141.959 * * [simplify]: Extracting #3: cost 190 inf + 6 141.960 * * [simplify]: Extracting #4: cost 150 inf + 6375 141.966 * * [simplify]: Extracting #5: cost 19 inf + 31490 141.981 * * [simplify]: Extracting #6: cost 0 inf + 37652 141.997 * [simplify]: Simplified to (- (/ (- (log (* 2 PI)) (* (log (* 2 PI)) k)) 4) (log (sqrt k))) 141.997 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (exp (- (/ (- (log (* 2 PI)) (* (log (* 2 PI)) k)) 4) (log (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 141.997 * * * * [progress]: [ 343 / 406 ] simplifiying candidate # 141.997 * [simplify]: Simplifying (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 141.998 * * [simplify]: iters left: 6 (14 enodes) 142.006 * * [simplify]: iters left: 5 (65 enodes) 142.016 * * [simplify]: iters left: 4 (105 enodes) 142.033 * * [simplify]: iters left: 3 (181 enodes) 142.082 * * [simplify]: iters left: 2 (316 enodes) 142.208 * * [simplify]: Extracting #0: cost 1 inf + 0 142.208 * * [simplify]: Extracting #1: cost 26 inf + 0 142.208 * * [simplify]: Extracting #2: cost 132 inf + 1 142.209 * * [simplify]: Extracting #3: cost 190 inf + 6 142.210 * * [simplify]: Extracting #4: cost 150 inf + 6375 142.216 * * [simplify]: Extracting #5: cost 19 inf + 31490 142.226 * * [simplify]: Extracting #6: cost 0 inf + 37652 142.241 * [simplify]: Simplified to (- (/ (- (log (* 2 PI)) (* (log (* 2 PI)) k)) 4) (log (sqrt k))) 142.241 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (exp (- (/ (- (log (* 2 PI)) (* (log (* 2 PI)) k)) 4) (log (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 142.241 * * * * [progress]: [ 344 / 406 ] simplifiying candidate # 142.242 * [simplify]: Simplifying (+ (log (/ 1 (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 142.242 * * [simplify]: iters left: 6 (14 enodes) 142.250 * * [simplify]: iters left: 5 (64 enodes) 142.260 * * [simplify]: iters left: 4 (108 enodes) 142.288 * * [simplify]: iters left: 3 (209 enodes) 142.350 * * [simplify]: iters left: 2 (481 enodes) 142.535 * * [simplify]: Extracting #0: cost 1 inf + 0 142.535 * * [simplify]: Extracting #1: cost 42 inf + 0 142.536 * * [simplify]: Extracting #2: cost 263 inf + 1 142.537 * * [simplify]: Extracting #3: cost 354 inf + 9 142.539 * * [simplify]: Extracting #4: cost 329 inf + 7332 142.547 * * [simplify]: Extracting #5: cost 134 inf + 50237 142.563 * * [simplify]: Extracting #6: cost 16 inf + 92537 142.603 * * [simplify]: Extracting #7: cost 0 inf + 99460 142.638 * [simplify]: Simplified to (- (* (log (* 2 PI)) (/ (- 1 k) 4)) (log (sqrt k))) 142.638 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (exp (- (* (log (* 2 PI)) (/ (- 1 k) 4)) (log (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 142.638 * * * * [progress]: [ 345 / 406 ] simplifiying candidate # 142.638 * * * * [progress]: [ 346 / 406 ] simplifiying candidate # 142.638 * * * * [progress]: [ 347 / 406 ] simplifiying candidate # 142.638 * [simplify]: Simplifying (* (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 142.638 * * [simplify]: iters left: 6 (18 enodes) 142.644 * * [simplify]: iters left: 5 (77 enodes) 142.659 * * [simplify]: iters left: 4 (182 enodes) 142.741 * * [simplify]: Extracting #0: cost 1 inf + 0 142.741 * * [simplify]: Extracting #1: cost 52 inf + 0 142.741 * * [simplify]: Extracting #2: cost 154 inf + 206 142.742 * * [simplify]: Extracting #3: cost 164 inf + 1763 142.744 * * [simplify]: Extracting #4: cost 133 inf + 12121 142.752 * * [simplify]: Extracting #5: cost 49 inf + 48821 142.779 * * [simplify]: Extracting #6: cost 0 inf + 75566 142.793 * * [simplify]: Extracting #7: cost 0 inf + 72389 142.805 * [simplify]: Simplified to (* (/ (* (pow (* PI 2) (- 1/4 (/ k 4))) (pow (* PI 2) (- 1/4 (/ k 4)))) (sqrt k)) (/ (pow (* PI 2) (- 1/4 (/ k 4))) k)) 142.805 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (cbrt (* (/ (* (pow (* PI 2) (- 1/4 (/ k 4))) (pow (* PI 2) (- 1/4 (/ k 4)))) (sqrt k)) (/ (pow (* PI 2) (- 1/4 (/ k 4))) k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 142.805 * * * * [progress]: [ 348 / 406 ] simplifiying candidate # 142.806 * [simplify]: Simplifying (* (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))) (* (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 142.806 * * [simplify]: iters left: 6 (16 enodes) 142.811 * * [simplify]: iters left: 5 (78 enodes) 142.839 * * [simplify]: iters left: 4 (165 enodes) 142.898 * * [simplify]: iters left: 3 (487 enodes) 143.215 * * [simplify]: Extracting #0: cost 1 inf + 0 143.216 * * [simplify]: Extracting #1: cost 84 inf + 0 143.218 * * [simplify]: Extracting #2: cost 395 inf + 3 143.222 * * [simplify]: Extracting #3: cost 440 inf + 993 143.227 * * [simplify]: Extracting #4: cost 420 inf + 4156 143.242 * * [simplify]: Extracting #5: cost 294 inf + 65190 143.298 * * [simplify]: Extracting #6: cost 67 inf + 221190 143.352 * * [simplify]: Extracting #7: cost 0 inf + 271766 143.395 * * [simplify]: Extracting #8: cost 0 inf + 265450 143.459 * * [simplify]: Extracting #9: cost 0 inf + 258757 143.536 * * [simplify]: Extracting #10: cost 0 inf + 256176 143.615 * * [simplify]: Extracting #11: cost 0 inf + 256045 143.693 * [simplify]: Simplified to (* (* (/ (pow (* PI 2) (- 1/4 (/ k 4))) (sqrt k)) (/ (pow (* PI 2) (- 1/4 (/ k 4))) k)) (pow (* PI 2) (- 1/4 (/ k 4)))) 143.693 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (cbrt (* (* (/ (pow (* PI 2) (- 1/4 (/ k 4))) (sqrt k)) (/ (pow (* PI 2) (- 1/4 (/ k 4))) k)) (pow (* PI 2) (- 1/4 (/ k 4))))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 143.693 * * * * [progress]: [ 349 / 406 ] simplifiying candidate # 143.694 * * * * [progress]: [ 350 / 406 ] simplifiying candidate # 143.694 * * * * [progress]: [ 351 / 406 ] simplifiying candidate # 143.694 * * * * [progress]: [ 352 / 406 ] simplifiying candidate # 143.694 * [simplify]: Simplifying (* 1 (pow (* 2 PI) (/ (/ 1 2) 2))) 143.694 * * [simplify]: iters left: 6 (8 enodes) 143.701 * * [simplify]: iters left: 5 (34 enodes) 143.708 * * [simplify]: iters left: 4 (55 enodes) 143.719 * * [simplify]: iters left: 3 (80 enodes) 143.737 * * [simplify]: iters left: 2 (135 enodes) 143.763 * * [simplify]: iters left: 1 (220 enodes) 143.839 * * [simplify]: Extracting #0: cost 1 inf + 0 143.839 * * [simplify]: Extracting #1: cost 17 inf + 0 143.839 * * [simplify]: Extracting #2: cost 58 inf + 3 143.840 * * [simplify]: Extracting #3: cost 60 inf + 10 143.840 * * [simplify]: Extracting #4: cost 46 inf + 3934 143.842 * * [simplify]: Extracting #5: cost 10 inf + 24237 143.845 * * [simplify]: Extracting #6: cost 0 inf + 29950 143.848 * [simplify]: Simplified to (pow (* PI 2) 1/4) 143.848 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (/ (pow (* PI 2) 1/4) (* (sqrt k) (pow (* 2 PI) (/ (/ k 2) 2)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 143.848 * [simplify]: Simplifying (* (sqrt k) (pow (* 2 PI) (/ (/ k 2) 2))) 143.848 * * [simplify]: iters left: 6 (9 enodes) 143.851 * * [simplify]: iters left: 5 (35 enodes) 143.856 * * [simplify]: iters left: 4 (51 enodes) 143.870 * * [simplify]: iters left: 3 (92 enodes) 143.905 * * [simplify]: iters left: 2 (205 enodes) 143.955 * * [simplify]: Extracting #0: cost 1 inf + 0 143.955 * * [simplify]: Extracting #1: cost 28 inf + 0 143.955 * * [simplify]: Extracting #2: cost 97 inf + 0 143.955 * * [simplify]: Extracting #3: cost 125 inf + 86 143.956 * * [simplify]: Extracting #4: cost 114 inf + 2462 143.960 * * [simplify]: Extracting #5: cost 35 inf + 30951 143.966 * * [simplify]: Extracting #6: cost 2 inf + 51027 143.973 * * [simplify]: Extracting #7: cost 0 inf + 51554 143.979 * * [simplify]: Extracting #8: cost 0 inf + 51475 143.986 * [simplify]: Simplified to (* (sqrt k) (pow (* 2 PI) (/ k 4))) 143.986 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (/ (pow (* PI 2) 1/4) (* (sqrt k) (pow (* 2 PI) (/ k 4)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 143.986 * * * * [progress]: [ 353 / 406 ] simplifiying candidate # 143.986 * * * * [progress]: [ 354 / 406 ] simplifiying candidate # 143.987 * [simplify]: Simplifying (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 143.987 * * [simplify]: iters left: 6 (14 enodes) 143.998 * * [simplify]: iters left: 5 (58 enodes) 144.018 * * [simplify]: iters left: 4 (90 enodes) 144.047 * * [simplify]: iters left: 3 (138 enodes) 144.093 * * [simplify]: iters left: 2 (233 enodes) 144.151 * * [simplify]: iters left: 1 (426 enodes) 144.313 * * [simplify]: Extracting #0: cost 1 inf + 0 144.313 * * [simplify]: Extracting #1: cost 4 inf + 0 144.313 * * [simplify]: Extracting #2: cost 9 inf + 0 144.313 * * [simplify]: Extracting #3: cost 37 inf + 0 144.313 * * [simplify]: Extracting #4: cost 121 inf + 2 144.314 * * [simplify]: Extracting #5: cost 173 inf + 672 144.316 * * [simplify]: Extracting #6: cost 105 inf + 9373 144.321 * * [simplify]: Extracting #7: cost 46 inf + 23375 144.334 * * [simplify]: Extracting #8: cost 4 inf + 55013 144.353 * * [simplify]: Extracting #9: cost 0 inf + 56783 144.375 * * [simplify]: Extracting #10: cost 0 inf + 56623 144.388 * [simplify]: Simplified to (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* 2 PI) (- 1/4 (/ k 4))))) 144.388 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* 2 PI) (- 1/4 (/ k 4))))) (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 144.388 * [simplify]: Simplifying (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 144.388 * * [simplify]: iters left: 6 (14 enodes) 144.392 * * [simplify]: iters left: 5 (58 enodes) 144.403 * * [simplify]: iters left: 4 (90 enodes) 144.419 * * [simplify]: iters left: 3 (138 enodes) 144.449 * * [simplify]: iters left: 2 (233 enodes) 144.527 * * [simplify]: iters left: 1 (426 enodes) 144.706 * * [simplify]: Extracting #0: cost 1 inf + 0 144.706 * * [simplify]: Extracting #1: cost 4 inf + 0 144.706 * * [simplify]: Extracting #2: cost 9 inf + 0 144.706 * * [simplify]: Extracting #3: cost 37 inf + 0 144.706 * * [simplify]: Extracting #4: cost 121 inf + 2 144.707 * * [simplify]: Extracting #5: cost 173 inf + 672 144.711 * * [simplify]: Extracting #6: cost 105 inf + 9373 144.720 * * [simplify]: Extracting #7: cost 46 inf + 23375 144.737 * * [simplify]: Extracting #8: cost 4 inf + 55013 144.760 * * [simplify]: Extracting #9: cost 0 inf + 56783 144.779 * * [simplify]: Extracting #10: cost 0 inf + 56623 144.797 * [simplify]: Simplified to (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* 2 PI) (- 1/4 (/ k 4))))) 144.797 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* 2 PI) (- 1/4 (/ k 4)))))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 144.797 * * * * [progress]: [ 355 / 406 ] simplifiying candidate # 144.797 * [simplify]: Simplifying (* (sqrt (/ 1 (sqrt k))) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2))) 144.798 * * [simplify]: iters left: 6 (14 enodes) 144.806 * * [simplify]: iters left: 5 (59 enodes) 144.828 * * [simplify]: iters left: 4 (100 enodes) 144.850 * * [simplify]: iters left: 3 (175 enodes) 144.898 * * [simplify]: iters left: 2 (324 enodes) 145.038 * * [simplify]: Extracting #0: cost 1 inf + 0 145.038 * * [simplify]: Extracting #1: cost 28 inf + 0 145.038 * * [simplify]: Extracting #2: cost 98 inf + 0 145.039 * * [simplify]: Extracting #3: cost 152 inf + 2 145.040 * * [simplify]: Extracting #4: cost 169 inf + 15 145.042 * * [simplify]: Extracting #5: cost 146 inf + 1919 145.047 * * [simplify]: Extracting #6: cost 82 inf + 9975 145.057 * * [simplify]: Extracting #7: cost 35 inf + 37381 145.065 * * [simplify]: Extracting #8: cost 3 inf + 62746 145.074 * * [simplify]: Extracting #9: cost 0 inf + 64992 145.083 * [simplify]: Simplified to (* (sqrt (/ 1 (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 8))) 145.083 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (* (sqrt (/ 1 (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 8))) (* (sqrt (/ 1 (sqrt k))) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 145.083 * [simplify]: Simplifying (* (sqrt (/ 1 (sqrt k))) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2))) 145.083 * * [simplify]: iters left: 6 (14 enodes) 145.087 * * [simplify]: iters left: 5 (59 enodes) 145.099 * * [simplify]: iters left: 4 (100 enodes) 145.137 * * [simplify]: iters left: 3 (175 enodes) 145.196 * * [simplify]: iters left: 2 (324 enodes) 145.316 * * [simplify]: Extracting #0: cost 1 inf + 0 145.316 * * [simplify]: Extracting #1: cost 28 inf + 0 145.317 * * [simplify]: Extracting #2: cost 98 inf + 0 145.318 * * [simplify]: Extracting #3: cost 152 inf + 2 145.318 * * [simplify]: Extracting #4: cost 169 inf + 15 145.319 * * [simplify]: Extracting #5: cost 146 inf + 1919 145.322 * * [simplify]: Extracting #6: cost 82 inf + 9975 145.326 * * [simplify]: Extracting #7: cost 35 inf + 37381 145.334 * * [simplify]: Extracting #8: cost 3 inf + 62746 145.343 * * [simplify]: Extracting #9: cost 0 inf + 64992 145.356 * [simplify]: Simplified to (* (sqrt (/ 1 (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 8))) 145.356 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* (* (sqrt (/ 1 (sqrt k))) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2))) (* (sqrt (/ 1 (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 8)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 145.356 * * * * [progress]: [ 356 / 406 ] simplifiying candidate # 145.357 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 145.357 * * [simplify]: iters left: 6 (15 enodes) 145.363 * * [simplify]: iters left: 5 (63 enodes) 145.373 * * [simplify]: iters left: 4 (95 enodes) 145.389 * * [simplify]: iters left: 3 (147 enodes) 145.416 * * [simplify]: iters left: 2 (255 enodes) 145.481 * * [simplify]: iters left: 1 (471 enodes) 145.635 * * [simplify]: Extracting #0: cost 1 inf + 0 145.636 * * [simplify]: Extracting #1: cost 7 inf + 0 145.636 * * [simplify]: Extracting #2: cost 13 inf + 1 145.636 * * [simplify]: Extracting #3: cost 41 inf + 1 145.637 * * [simplify]: Extracting #4: cost 119 inf + 410 145.638 * * [simplify]: Extracting #5: cost 173 inf + 750 145.643 * * [simplify]: Extracting #6: cost 115 inf + 12074 145.655 * * [simplify]: Extracting #7: cost 31 inf + 34904 145.674 * * [simplify]: Extracting #8: cost 1 inf + 59007 145.693 * * [simplify]: Extracting #9: cost 0 inf + 59180 145.717 * [simplify]: Simplified to (/ (sqrt (pow (* PI 2) (- 1/4 (/ k 4)))) (sqrt (sqrt k))) 145.717 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ (sqrt (pow (* PI 2) (- 1/4 (/ k 4)))) (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 145.718 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 145.718 * * [simplify]: iters left: 6 (15 enodes) 145.725 * * [simplify]: iters left: 5 (63 enodes) 145.736 * * [simplify]: iters left: 4 (95 enodes) 145.753 * * [simplify]: iters left: 3 (147 enodes) 145.780 * * [simplify]: iters left: 2 (255 enodes) 145.842 * * [simplify]: iters left: 1 (471 enodes) 146.012 * * [simplify]: Extracting #0: cost 1 inf + 0 146.012 * * [simplify]: Extracting #1: cost 7 inf + 0 146.012 * * [simplify]: Extracting #2: cost 13 inf + 1 146.012 * * [simplify]: Extracting #3: cost 41 inf + 1 146.013 * * [simplify]: Extracting #4: cost 119 inf + 410 146.014 * * [simplify]: Extracting #5: cost 173 inf + 750 146.019 * * [simplify]: Extracting #6: cost 115 inf + 12074 146.031 * * [simplify]: Extracting #7: cost 31 inf + 34904 146.047 * * [simplify]: Extracting #8: cost 1 inf + 59007 146.056 * * [simplify]: Extracting #9: cost 0 inf + 59180 146.069 * [simplify]: Simplified to (/ (sqrt (pow (* PI 2) (- 1/4 (/ k 4)))) (sqrt (sqrt k))) 146.069 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt (pow (* PI 2) (- 1/4 (/ k 4)))) (sqrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 146.069 * * * * [progress]: [ 357 / 406 ] simplifiying candidate # 146.069 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2))) 146.070 * * [simplify]: iters left: 6 (15 enodes) 146.075 * * [simplify]: iters left: 5 (64 enodes) 146.087 * * [simplify]: iters left: 4 (100 enodes) 146.117 * * [simplify]: iters left: 3 (177 enodes) 146.163 * * [simplify]: iters left: 2 (379 enodes) 146.289 * * [simplify]: Extracting #0: cost 1 inf + 0 146.289 * * [simplify]: Extracting #1: cost 45 inf + 0 146.290 * * [simplify]: Extracting #2: cost 115 inf + 1 146.290 * * [simplify]: Extracting #3: cost 168 inf + 3 146.291 * * [simplify]: Extracting #4: cost 176 inf + 550 146.292 * * [simplify]: Extracting #5: cost 130 inf + 6470 146.297 * * [simplify]: Extracting #6: cost 64 inf + 25195 146.306 * * [simplify]: Extracting #7: cost 7 inf + 68871 146.318 * * [simplify]: Extracting #8: cost 0 inf + 75384 146.342 * [simplify]: Simplified to (/ (pow (* PI 2) (/ (- 1 k) 8)) (sqrt (sqrt k))) 146.342 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ (pow (* PI 2) (/ (- 1 k) 8)) (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 146.343 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2))) 146.343 * * [simplify]: iters left: 6 (15 enodes) 146.351 * * [simplify]: iters left: 5 (64 enodes) 146.362 * * [simplify]: iters left: 4 (100 enodes) 146.383 * * [simplify]: iters left: 3 (177 enodes) 146.460 * * [simplify]: iters left: 2 (379 enodes) 146.643 * * [simplify]: Extracting #0: cost 1 inf + 0 146.643 * * [simplify]: Extracting #1: cost 45 inf + 0 146.644 * * [simplify]: Extracting #2: cost 115 inf + 1 146.645 * * [simplify]: Extracting #3: cost 168 inf + 3 146.647 * * [simplify]: Extracting #4: cost 176 inf + 550 146.650 * * [simplify]: Extracting #5: cost 130 inf + 6470 146.660 * * [simplify]: Extracting #6: cost 64 inf + 25195 146.678 * * [simplify]: Extracting #7: cost 7 inf + 68871 146.691 * * [simplify]: Extracting #8: cost 0 inf + 75384 146.705 * [simplify]: Simplified to (/ (pow (* PI 2) (/ (- 1 k) 8)) (sqrt (sqrt k))) 146.705 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (pow (* PI 2) (/ (- 1 k) 8)) (sqrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 146.705 * * * * [progress]: [ 358 / 406 ] simplifiying candidate # 146.706 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 146.706 * * [simplify]: iters left: 6 (15 enodes) 146.713 * * [simplify]: iters left: 5 (63 enodes) 146.733 * * [simplify]: iters left: 4 (95 enodes) 146.763 * * [simplify]: iters left: 3 (147 enodes) 146.811 * * [simplify]: iters left: 2 (255 enodes) 146.909 * * [simplify]: iters left: 1 (471 enodes) 147.134 * * [simplify]: Extracting #0: cost 1 inf + 0 147.134 * * [simplify]: Extracting #1: cost 7 inf + 0 147.134 * * [simplify]: Extracting #2: cost 13 inf + 1 147.134 * * [simplify]: Extracting #3: cost 41 inf + 1 147.135 * * [simplify]: Extracting #4: cost 119 inf + 410 147.137 * * [simplify]: Extracting #5: cost 173 inf + 750 147.141 * * [simplify]: Extracting #6: cost 115 inf + 12074 147.152 * * [simplify]: Extracting #7: cost 31 inf + 34904 147.171 * * [simplify]: Extracting #8: cost 1 inf + 59007 147.190 * * [simplify]: Extracting #9: cost 0 inf + 59180 147.213 * [simplify]: Simplified to (/ (sqrt (pow (* PI 2) (- 1/4 (/ k 4)))) (sqrt (sqrt k))) 147.213 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ (sqrt (pow (* PI 2) (- 1/4 (/ k 4)))) (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 147.213 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 147.213 * * [simplify]: iters left: 6 (15 enodes) 147.218 * * [simplify]: iters left: 5 (63 enodes) 147.229 * * [simplify]: iters left: 4 (95 enodes) 147.244 * * [simplify]: iters left: 3 (147 enodes) 147.271 * * [simplify]: iters left: 2 (255 enodes) 147.335 * * [simplify]: iters left: 1 (471 enodes) 147.500 * * [simplify]: Extracting #0: cost 1 inf + 0 147.500 * * [simplify]: Extracting #1: cost 7 inf + 0 147.500 * * [simplify]: Extracting #2: cost 13 inf + 1 147.500 * * [simplify]: Extracting #3: cost 41 inf + 1 147.501 * * [simplify]: Extracting #4: cost 119 inf + 410 147.503 * * [simplify]: Extracting #5: cost 173 inf + 750 147.507 * * [simplify]: Extracting #6: cost 115 inf + 12074 147.518 * * [simplify]: Extracting #7: cost 31 inf + 34904 147.531 * * [simplify]: Extracting #8: cost 1 inf + 59007 147.541 * * [simplify]: Extracting #9: cost 0 inf + 59180 147.557 * [simplify]: Simplified to (/ (sqrt (pow (* PI 2) (- 1/4 (/ k 4)))) (sqrt (sqrt k))) 147.557 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt (pow (* PI 2) (- 1/4 (/ k 4)))) (sqrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 147.557 * * * * [progress]: [ 359 / 406 ] simplifiying candidate # 147.558 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2))) 147.558 * * [simplify]: iters left: 6 (15 enodes) 147.567 * * [simplify]: iters left: 5 (64 enodes) 147.579 * * [simplify]: iters left: 4 (100 enodes) 147.601 * * [simplify]: iters left: 3 (177 enodes) 147.649 * * [simplify]: iters left: 2 (379 enodes) 147.805 * * [simplify]: Extracting #0: cost 1 inf + 0 147.805 * * [simplify]: Extracting #1: cost 45 inf + 0 147.806 * * [simplify]: Extracting #2: cost 115 inf + 1 147.807 * * [simplify]: Extracting #3: cost 168 inf + 3 147.808 * * [simplify]: Extracting #4: cost 176 inf + 550 147.810 * * [simplify]: Extracting #5: cost 130 inf + 6470 147.815 * * [simplify]: Extracting #6: cost 64 inf + 25195 147.824 * * [simplify]: Extracting #7: cost 7 inf + 68871 147.836 * * [simplify]: Extracting #8: cost 0 inf + 75384 147.863 * [simplify]: Simplified to (/ (pow (* PI 2) (/ (- 1 k) 8)) (sqrt (sqrt k))) 147.863 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ (pow (* PI 2) (/ (- 1 k) 8)) (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 147.863 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2))) 147.864 * * [simplify]: iters left: 6 (15 enodes) 147.873 * * [simplify]: iters left: 5 (64 enodes) 147.894 * * [simplify]: iters left: 4 (100 enodes) 147.922 * * [simplify]: iters left: 3 (177 enodes) 147.979 * * [simplify]: iters left: 2 (379 enodes) 148.133 * * [simplify]: Extracting #0: cost 1 inf + 0 148.134 * * [simplify]: Extracting #1: cost 45 inf + 0 148.134 * * [simplify]: Extracting #2: cost 115 inf + 1 148.135 * * [simplify]: Extracting #3: cost 168 inf + 3 148.137 * * [simplify]: Extracting #4: cost 176 inf + 550 148.140 * * [simplify]: Extracting #5: cost 130 inf + 6470 148.149 * * [simplify]: Extracting #6: cost 64 inf + 25195 148.163 * * [simplify]: Extracting #7: cost 7 inf + 68871 148.174 * * [simplify]: Extracting #8: cost 0 inf + 75384 148.186 * [simplify]: Simplified to (/ (pow (* PI 2) (/ (- 1 k) 8)) (sqrt (sqrt k))) 148.186 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (pow (* PI 2) (/ (- 1 k) 8)) (sqrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 148.186 * * * * [progress]: [ 360 / 406 ] simplifiying candidate # 148.189 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 148.189 * * [simplify]: iters left: 6 (14 enodes) 148.194 * * [simplify]: iters left: 5 (60 enodes) 148.208 * * [simplify]: iters left: 4 (96 enodes) 148.239 * * [simplify]: iters left: 3 (158 enodes) 148.291 * * [simplify]: iters left: 2 (254 enodes) 148.360 * * [simplify]: iters left: 1 (444 enodes) 148.559 * * [simplify]: Extracting #0: cost 1 inf + 0 148.559 * * [simplify]: Extracting #1: cost 7 inf + 0 148.559 * * [simplify]: Extracting #2: cost 13 inf + 1 148.559 * * [simplify]: Extracting #3: cost 38 inf + 1 148.560 * * [simplify]: Extracting #4: cost 118 inf + 3 148.561 * * [simplify]: Extracting #5: cost 161 inf + 1001 148.563 * * [simplify]: Extracting #6: cost 89 inf + 11730 148.570 * * [simplify]: Extracting #7: cost 13 inf + 46397 148.579 * * [simplify]: Extracting #8: cost 0 inf + 56176 148.592 * * [simplify]: Extracting #9: cost 0 inf + 56096 148.610 * [simplify]: Simplified to (/ (sqrt (pow (* 2 PI) (- 1/4 (/ k 4)))) (sqrt (sqrt k))) 148.610 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ (sqrt (pow (* 2 PI) (- 1/4 (/ k 4)))) (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 148.611 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 148.611 * * [simplify]: iters left: 6 (14 enodes) 148.616 * * [simplify]: iters left: 5 (60 enodes) 148.630 * * [simplify]: iters left: 4 (96 enodes) 148.648 * * [simplify]: iters left: 3 (158 enodes) 148.700 * * [simplify]: iters left: 2 (254 enodes) 148.796 * * [simplify]: iters left: 1 (444 enodes) 149.033 * * [simplify]: Extracting #0: cost 1 inf + 0 149.033 * * [simplify]: Extracting #1: cost 7 inf + 0 149.034 * * [simplify]: Extracting #2: cost 13 inf + 1 149.034 * * [simplify]: Extracting #3: cost 38 inf + 1 149.034 * * [simplify]: Extracting #4: cost 118 inf + 3 149.035 * * [simplify]: Extracting #5: cost 161 inf + 1001 149.037 * * [simplify]: Extracting #6: cost 89 inf + 11730 149.045 * * [simplify]: Extracting #7: cost 13 inf + 46397 149.054 * * [simplify]: Extracting #8: cost 0 inf + 56176 149.066 * * [simplify]: Extracting #9: cost 0 inf + 56096 149.085 * [simplify]: Simplified to (/ (sqrt (pow (* 2 PI) (- 1/4 (/ k 4)))) (sqrt (sqrt k))) 149.085 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt (pow (* 2 PI) (- 1/4 (/ k 4)))) (sqrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 149.085 * * * * [progress]: [ 361 / 406 ] simplifiying candidate # 149.086 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2))) 149.086 * * [simplify]: iters left: 6 (14 enodes) 149.094 * * [simplify]: iters left: 5 (61 enodes) 149.116 * * [simplify]: iters left: 4 (108 enodes) 149.160 * * [simplify]: iters left: 3 (207 enodes) 149.240 * * [simplify]: iters left: 2 (388 enodes) 149.419 * * [simplify]: Extracting #0: cost 1 inf + 0 149.419 * * [simplify]: Extracting #1: cost 39 inf + 0 149.420 * * [simplify]: Extracting #2: cost 124 inf + 1 149.421 * * [simplify]: Extracting #3: cost 181 inf + 3 149.423 * * [simplify]: Extracting #4: cost 172 inf + 1626 149.428 * * [simplify]: Extracting #5: cost 110 inf + 14321 149.445 * * [simplify]: Extracting #6: cost 18 inf + 67331 149.469 * * [simplify]: Extracting #7: cost 0 inf + 79580 149.498 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/8 (/ k 8))) (sqrt (sqrt k))) 149.498 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ (pow (* 2 PI) (- 1/8 (/ k 8))) (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 149.498 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2))) 149.499 * * [simplify]: iters left: 6 (14 enodes) 149.507 * * [simplify]: iters left: 5 (61 enodes) 149.525 * * [simplify]: iters left: 4 (108 enodes) 149.547 * * [simplify]: iters left: 3 (207 enodes) 149.611 * * [simplify]: iters left: 2 (388 enodes) 149.771 * * [simplify]: Extracting #0: cost 1 inf + 0 149.771 * * [simplify]: Extracting #1: cost 39 inf + 0 149.772 * * [simplify]: Extracting #2: cost 124 inf + 1 149.773 * * [simplify]: Extracting #3: cost 181 inf + 3 149.775 * * [simplify]: Extracting #4: cost 172 inf + 1626 149.781 * * [simplify]: Extracting #5: cost 110 inf + 14321 149.790 * * [simplify]: Extracting #6: cost 18 inf + 67331 149.807 * * [simplify]: Extracting #7: cost 0 inf + 79580 149.831 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/8 (/ k 8))) (sqrt (sqrt k))) 149.831 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* (* (/ 1 (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (pow (* 2 PI) (- 1/8 (/ k 8))) (sqrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 149.832 * * * * [progress]: [ 362 / 406 ] simplifiying candidate # 149.832 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 149.832 * * [simplify]: iters left: 6 (14 enodes) 149.841 * * [simplify]: iters left: 5 (60 enodes) 149.852 * * [simplify]: iters left: 4 (96 enodes) 149.870 * * [simplify]: iters left: 3 (158 enodes) 149.916 * * [simplify]: iters left: 2 (254 enodes) 149.991 * * [simplify]: iters left: 1 (444 enodes) 150.196 * * [simplify]: Extracting #0: cost 1 inf + 0 150.196 * * [simplify]: Extracting #1: cost 7 inf + 0 150.196 * * [simplify]: Extracting #2: cost 13 inf + 1 150.196 * * [simplify]: Extracting #3: cost 38 inf + 1 150.197 * * [simplify]: Extracting #4: cost 118 inf + 3 150.197 * * [simplify]: Extracting #5: cost 161 inf + 1001 150.200 * * [simplify]: Extracting #6: cost 89 inf + 11730 150.210 * * [simplify]: Extracting #7: cost 13 inf + 46397 150.232 * * [simplify]: Extracting #8: cost 0 inf + 56176 150.250 * * [simplify]: Extracting #9: cost 0 inf + 56096 150.268 * [simplify]: Simplified to (/ (sqrt (pow (* 2 PI) (- 1/4 (/ k 4)))) (sqrt (sqrt k))) 150.268 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ (sqrt (pow (* 2 PI) (- 1/4 (/ k 4)))) (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 150.268 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 150.268 * * [simplify]: iters left: 6 (14 enodes) 150.277 * * [simplify]: iters left: 5 (60 enodes) 150.298 * * [simplify]: iters left: 4 (96 enodes) 150.328 * * [simplify]: iters left: 3 (158 enodes) 150.382 * * [simplify]: iters left: 2 (254 enodes) 150.448 * * [simplify]: iters left: 1 (444 enodes) 150.623 * * [simplify]: Extracting #0: cost 1 inf + 0 150.623 * * [simplify]: Extracting #1: cost 7 inf + 0 150.623 * * [simplify]: Extracting #2: cost 13 inf + 1 150.623 * * [simplify]: Extracting #3: cost 38 inf + 1 150.623 * * [simplify]: Extracting #4: cost 118 inf + 3 150.624 * * [simplify]: Extracting #5: cost 161 inf + 1001 150.629 * * [simplify]: Extracting #6: cost 89 inf + 11730 150.643 * * [simplify]: Extracting #7: cost 13 inf + 46397 150.661 * * [simplify]: Extracting #8: cost 0 inf + 56176 150.678 * * [simplify]: Extracting #9: cost 0 inf + 56096 150.687 * [simplify]: Simplified to (/ (sqrt (pow (* 2 PI) (- 1/4 (/ k 4)))) (sqrt (sqrt k))) 150.687 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt (pow (* 2 PI) (- 1/4 (/ k 4)))) (sqrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 150.687 * * * * [progress]: [ 363 / 406 ] simplifiying candidate # 150.687 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2))) 150.687 * * [simplify]: iters left: 6 (14 enodes) 150.691 * * [simplify]: iters left: 5 (61 enodes) 150.703 * * [simplify]: iters left: 4 (108 enodes) 150.724 * * [simplify]: iters left: 3 (207 enodes) 150.776 * * [simplify]: iters left: 2 (388 enodes) 150.927 * * [simplify]: Extracting #0: cost 1 inf + 0 150.927 * * [simplify]: Extracting #1: cost 39 inf + 0 150.928 * * [simplify]: Extracting #2: cost 124 inf + 1 150.928 * * [simplify]: Extracting #3: cost 181 inf + 3 150.929 * * [simplify]: Extracting #4: cost 172 inf + 1626 150.932 * * [simplify]: Extracting #5: cost 110 inf + 14321 150.940 * * [simplify]: Extracting #6: cost 18 inf + 67331 150.953 * * [simplify]: Extracting #7: cost 0 inf + 79580 150.978 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/8 (/ k 8))) (sqrt (sqrt k))) 150.978 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ (pow (* 2 PI) (- 1/8 (/ k 8))) (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 150.979 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2))) 150.979 * * [simplify]: iters left: 6 (14 enodes) 150.987 * * [simplify]: iters left: 5 (61 enodes) 151.009 * * [simplify]: iters left: 4 (108 enodes) 151.038 * * [simplify]: iters left: 3 (207 enodes) 151.087 * * [simplify]: iters left: 2 (388 enodes) 151.246 * * [simplify]: Extracting #0: cost 1 inf + 0 151.246 * * [simplify]: Extracting #1: cost 39 inf + 0 151.247 * * [simplify]: Extracting #2: cost 124 inf + 1 151.248 * * [simplify]: Extracting #3: cost 181 inf + 3 151.249 * * [simplify]: Extracting #4: cost 172 inf + 1626 151.252 * * [simplify]: Extracting #5: cost 110 inf + 14321 151.260 * * [simplify]: Extracting #6: cost 18 inf + 67331 151.272 * * [simplify]: Extracting #7: cost 0 inf + 79580 151.288 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/8 (/ k 8))) (sqrt (sqrt k))) 151.289 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* (* (/ 1 (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (pow (* 2 PI) (- 1/8 (/ k 8))) (sqrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 151.289 * * * * [progress]: [ 364 / 406 ] simplifiying candidate # 151.289 * [simplify]: Simplifying (pow PI (/ (/ (- 1 k) 2) 2)) 151.289 * * [simplify]: iters left: 6 (8 enodes) 151.295 * * [simplify]: iters left: 5 (38 enodes) 151.309 * * [simplify]: iters left: 4 (66 enodes) 151.324 * * [simplify]: iters left: 3 (110 enodes) 151.350 * * [simplify]: iters left: 2 (200 enodes) 151.404 * * [simplify]: iters left: 1 (403 enodes) 151.532 * * [simplify]: Extracting #0: cost 1 inf + 0 151.532 * * [simplify]: Extracting #1: cost 26 inf + 0 151.533 * * [simplify]: Extracting #2: cost 100 inf + 2 151.533 * * [simplify]: Extracting #3: cost 164 inf + 10 151.534 * * [simplify]: Extracting #4: cost 157 inf + 1472 151.537 * * [simplify]: Extracting #5: cost 64 inf + 19273 151.553 * * [simplify]: Extracting #6: cost 8 inf + 47461 151.569 * * [simplify]: Extracting #7: cost 0 inf + 52807 151.585 * [simplify]: Simplified to (pow PI (- 1/4 (/ k 4))) 151.586 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* (* (/ 1 (sqrt k)) (pow 2 (/ (/ (- 1 k) 2) 2))) (pow PI (- 1/4 (/ k 4)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 151.586 * * * * [progress]: [ 365 / 406 ] simplifiying candidate # 151.586 * [simplify]: Simplifying (cbrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 151.586 * * [simplify]: iters left: 6 (10 enodes) 151.593 * * [simplify]: iters left: 5 (45 enodes) 151.608 * * [simplify]: iters left: 4 (70 enodes) 151.632 * * [simplify]: iters left: 3 (113 enodes) 151.674 * * [simplify]: iters left: 2 (216 enodes) 151.733 * * [simplify]: iters left: 1 (429 enodes) 151.944 * * [simplify]: Extracting #0: cost 1 inf + 0 151.944 * * [simplify]: Extracting #1: cost 3 inf + 0 151.945 * * [simplify]: Extracting #2: cost 27 inf + 0 151.945 * * [simplify]: Extracting #3: cost 103 inf + 1 151.946 * * [simplify]: Extracting #4: cost 160 inf + 52 151.948 * * [simplify]: Extracting #5: cost 168 inf + 554 151.955 * * [simplify]: Extracting #6: cost 81 inf + 18012 151.977 * * [simplify]: Extracting #7: cost 6 inf + 47272 152.006 * * [simplify]: Extracting #8: cost 0 inf + 49013 152.025 * * [simplify]: Extracting #9: cost 0 inf + 48334 152.040 * [simplify]: Simplified to (cbrt (pow (* 2 PI) (/ (- 1 k) 4))) 152.040 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* (* (/ 1 (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (cbrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))))) (cbrt (pow (* 2 PI) (/ (- 1 k) 4)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 152.041 * * * * [progress]: [ 366 / 406 ] simplifiying candidate # 152.041 * [simplify]: Simplifying (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 152.041 * * [simplify]: iters left: 6 (10 enodes) 152.047 * * [simplify]: iters left: 5 (45 enodes) 152.068 * * [simplify]: iters left: 4 (71 enodes) 152.080 * * [simplify]: iters left: 3 (114 enodes) 152.105 * * [simplify]: iters left: 2 (215 enodes) 152.160 * * [simplify]: iters left: 1 (432 enodes) 152.316 * * [simplify]: Extracting #0: cost 1 inf + 0 152.316 * * [simplify]: Extracting #1: cost 4 inf + 0 152.316 * * [simplify]: Extracting #2: cost 29 inf + 0 152.316 * * [simplify]: Extracting #3: cost 120 inf + 1 152.317 * * [simplify]: Extracting #4: cost 164 inf + 95 152.318 * * [simplify]: Extracting #5: cost 168 inf + 967 152.320 * * [simplify]: Extracting #6: cost 86 inf + 13163 152.335 * * [simplify]: Extracting #7: cost 11 inf + 50411 152.354 * * [simplify]: Extracting #8: cost 0 inf + 58844 152.374 * [simplify]: Simplified to (sqrt (pow (* 2 PI) (/ (- 1 k) 4))) 152.374 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* (* (/ 1 (sqrt k)) (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (sqrt (pow (* 2 PI) (/ (- 1 k) 4)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 152.374 * * * * [progress]: [ 367 / 406 ] simplifiying candidate # 152.374 * [simplify]: Simplifying (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) 152.374 * * [simplify]: iters left: 6 (9 enodes) 152.380 * * [simplify]: iters left: 5 (42 enodes) 152.395 * * [simplify]: iters left: 4 (70 enodes) 152.419 * * [simplify]: iters left: 3 (117 enodes) 152.468 * * [simplify]: iters left: 2 (232 enodes) 152.533 * * [simplify]: iters left: 1 (452 enodes) 152.747 * * [simplify]: Extracting #0: cost 1 inf + 0 152.748 * * [simplify]: Extracting #1: cost 24 inf + 0 152.748 * * [simplify]: Extracting #2: cost 94 inf + 1 152.748 * * [simplify]: Extracting #3: cost 164 inf + 94 152.749 * * [simplify]: Extracting #4: cost 174 inf + 187 152.751 * * [simplify]: Extracting #5: cost 104 inf + 8023 152.756 * * [simplify]: Extracting #6: cost 33 inf + 28456 152.765 * * [simplify]: Extracting #7: cost 0 inf + 52800 152.776 * * [simplify]: Extracting #8: cost 0 inf + 51842 152.785 * [simplify]: Simplified to (pow (* 2 PI) (- 1/4 (/ k 4))) 152.785 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* (* (/ 1 (sqrt k)) 1) (pow (* 2 PI) (- 1/4 (/ k 4)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 152.786 * * * * [progress]: [ 368 / 406 ] simplifiying candidate # 152.786 * [simplify]: Simplifying (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2)) 152.786 * * [simplify]: iters left: 6 (10 enodes) 152.790 * * [simplify]: iters left: 5 (46 enodes) 152.798 * * [simplify]: iters left: 4 (76 enodes) 152.823 * * [simplify]: iters left: 3 (137 enodes) 152.878 * * [simplify]: iters left: 2 (275 enodes) 152.963 * * [simplify]: Extracting #0: cost 1 inf + 0 152.963 * * [simplify]: Extracting #1: cost 12 inf + 0 152.963 * * [simplify]: Extracting #2: cost 63 inf + 1 152.964 * * [simplify]: Extracting #3: cost 110 inf + 10 152.965 * * [simplify]: Extracting #4: cost 99 inf + 1259 152.969 * * [simplify]: Extracting #5: cost 34 inf + 9762 152.976 * * [simplify]: Extracting #6: cost 6 inf + 22531 152.984 * * [simplify]: Extracting #7: cost 0 inf + 26696 152.993 * [simplify]: Simplified to (pow (* 2 PI) (/ (- 1 k) 8)) 152.993 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2))) (pow (* 2 PI) (/ (- 1 k) 8))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 152.993 * * * * [progress]: [ 369 / 406 ] simplifiying candidate # 152.993 * [simplify]: Simplifying (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) 152.993 * * [simplify]: iters left: 6 (6 enodes) 152.996 * * [simplify]: iters left: 5 (20 enodes) 153.003 * * [simplify]: iters left: 4 (22 enodes) 153.010 * * [simplify]: Extracting #0: cost 1 inf + 0 153.010 * * [simplify]: Extracting #1: cost 3 inf + 0 153.010 * * [simplify]: Extracting #2: cost 5 inf + 0 153.010 * * [simplify]: Extracting #3: cost 8 inf + 0 153.010 * * [simplify]: Extracting #4: cost 9 inf + 1 153.010 * * [simplify]: Extracting #5: cost 8 inf + 2 153.010 * * [simplify]: Extracting #6: cost 1 inf + 774 153.011 * * [simplify]: Extracting #7: cost 0 inf + 976 153.011 * [simplify]: Simplified to (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) 153.011 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (* (cbrt (/ 1 (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 153.011 * * * * [progress]: [ 370 / 406 ] simplifiying candidate # 153.011 * [simplify]: Simplifying (sqrt (/ 1 (sqrt k))) 153.012 * * [simplify]: iters left: 4 (5 enodes) 153.014 * * [simplify]: iters left: 3 (17 enodes) 153.020 * * [simplify]: iters left: 2 (19 enodes) 153.025 * * [simplify]: Extracting #0: cost 1 inf + 0 153.025 * * [simplify]: Extracting #1: cost 3 inf + 0 153.025 * * [simplify]: Extracting #2: cost 6 inf + 0 153.025 * * [simplify]: Extracting #3: cost 7 inf + 1 153.026 * * [simplify]: Extracting #4: cost 0 inf + 492 153.026 * [simplify]: Simplified to (sqrt (/ 1 (sqrt k))) 153.026 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 153.026 * * * * [progress]: [ 371 / 406 ] simplifiying candidate # 153.026 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 153.026 * * [simplify]: iters left: 6 (8 enodes) 153.031 * * [simplify]: iters left: 5 (32 enodes) 153.042 * * [simplify]: iters left: 4 (48 enodes) 153.058 * * [simplify]: iters left: 3 (76 enodes) 153.079 * * [simplify]: iters left: 2 (81 enodes) 153.096 * * [simplify]: Extracting #0: cost 1 inf + 0 153.096 * * [simplify]: Extracting #1: cost 6 inf + 0 153.096 * * [simplify]: Extracting #2: cost 9 inf + 1 153.096 * * [simplify]: Extracting #3: cost 11 inf + 1 153.097 * * [simplify]: Extracting #4: cost 2 inf + 1052 153.097 * * [simplify]: Extracting #5: cost 0 inf + 1376 153.098 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 153.098 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ (cbrt 1) (cbrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 153.098 * * * * [progress]: [ 372 / 406 ] simplifiying candidate # 153.098 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) 153.098 * * [simplify]: iters left: 6 (8 enodes) 153.104 * * [simplify]: iters left: 5 (29 enodes) 153.113 * * [simplify]: iters left: 4 (31 enodes) 153.121 * * [simplify]: Extracting #0: cost 1 inf + 0 153.121 * * [simplify]: Extracting #1: cost 4 inf + 0 153.121 * * [simplify]: Extracting #2: cost 6 inf + 1 153.121 * * [simplify]: Extracting #3: cost 9 inf + 1 153.121 * * [simplify]: Extracting #4: cost 8 inf + 2 153.121 * * [simplify]: Extracting #5: cost 2 inf + 729 153.122 * * [simplify]: Extracting #6: cost 0 inf + 972 153.122 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 153.122 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ 1 (fabs (cbrt k))) (* (/ (cbrt 1) (sqrt (cbrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 153.122 * * * * [progress]: [ 373 / 406 ] simplifiying candidate # 153.122 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 153.123 * * [simplify]: iters left: 5 (7 enodes) 153.127 * * [simplify]: iters left: 4 (25 enodes) 153.136 * * [simplify]: iters left: 3 (27 enodes) 153.142 * * [simplify]: Extracting #0: cost 1 inf + 0 153.142 * * [simplify]: Extracting #1: cost 4 inf + 0 153.142 * * [simplify]: Extracting #2: cost 5 inf + 1 153.142 * * [simplify]: Extracting #3: cost 7 inf + 1 153.143 * * [simplify]: Extracting #4: cost 6 inf + 2 153.143 * * [simplify]: Extracting #5: cost 2 inf + 368 153.143 * * [simplify]: Extracting #6: cost 0 inf + 490 153.143 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 153.143 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ 1 (sqrt (sqrt k))) (* (/ (cbrt 1) (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 153.143 * * * * [progress]: [ 374 / 406 ] simplifiying candidate # 153.144 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) 153.144 * * [simplify]: iters left: 5 (5 enodes) 153.152 * * [simplify]: iters left: 4 (19 enodes) 153.157 * * [simplify]: iters left: 3 (21 enodes) 153.161 * * [simplify]: Extracting #0: cost 1 inf + 0 153.161 * * [simplify]: Extracting #1: cost 0 inf + 1 153.161 * [simplify]: Simplified to 1 153.161 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* 1 (* (/ (cbrt 1) (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 153.161 * * * * [progress]: [ 375 / 406 ] simplifiying candidate # 153.162 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 153.162 * * [simplify]: iters left: 5 (7 enodes) 153.167 * * [simplify]: iters left: 4 (25 enodes) 153.175 * * [simplify]: iters left: 3 (27 enodes) 153.182 * * [simplify]: Extracting #0: cost 1 inf + 0 153.182 * * [simplify]: Extracting #1: cost 4 inf + 0 153.182 * * [simplify]: Extracting #2: cost 5 inf + 1 153.182 * * [simplify]: Extracting #3: cost 7 inf + 1 153.182 * * [simplify]: Extracting #4: cost 6 inf + 2 153.182 * * [simplify]: Extracting #5: cost 2 inf + 368 153.183 * * [simplify]: Extracting #6: cost 0 inf + 490 153.183 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 153.183 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ 1 (sqrt (sqrt k))) (* (/ (cbrt 1) (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 153.183 * * * * [progress]: [ 376 / 406 ] simplifiying candidate # 153.183 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) 1) 153.184 * * [simplify]: iters left: 5 (4 enodes) 153.190 * * [simplify]: iters left: 4 (14 enodes) 153.193 * * [simplify]: iters left: 3 (16 enodes) 153.196 * * [simplify]: Extracting #0: cost 1 inf + 0 153.196 * * [simplify]: Extracting #1: cost 0 inf + 1 153.197 * [simplify]: Simplified to 1 153.197 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* 1 (* (/ (cbrt 1) (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 153.197 * * * * [progress]: [ 377 / 406 ] simplifiying candidate # 153.197 * [simplify]: Simplifying (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 153.197 * * [simplify]: iters left: 6 (7 enodes) 153.202 * * [simplify]: iters left: 5 (25 enodes) 153.210 * * [simplify]: iters left: 4 (32 enodes) 153.215 * * [simplify]: iters left: 3 (34 enodes) 153.220 * * [simplify]: Extracting #0: cost 1 inf + 0 153.220 * * [simplify]: Extracting #1: cost 7 inf + 0 153.220 * * [simplify]: Extracting #2: cost 11 inf + 1 153.220 * * [simplify]: Extracting #3: cost 13 inf + 1 153.220 * * [simplify]: Extracting #4: cost 10 inf + 84 153.220 * * [simplify]: Extracting #5: cost 4 inf + 1014 153.220 * * [simplify]: Extracting #6: cost 1 inf + 1498 153.221 * * [simplify]: Extracting #7: cost 0 inf + 1700 153.221 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 153.221 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (* (/ (sqrt 1) (cbrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 153.221 * * * * [progress]: [ 378 / 406 ] simplifiying candidate # 153.221 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) 153.221 * * [simplify]: iters left: 6 (7 enodes) 153.224 * * [simplify]: iters left: 5 (24 enodes) 153.227 * * [simplify]: iters left: 4 (26 enodes) 153.233 * * [simplify]: Extracting #0: cost 1 inf + 0 153.233 * * [simplify]: Extracting #1: cost 4 inf + 0 153.233 * * [simplify]: Extracting #2: cost 6 inf + 1 153.233 * * [simplify]: Extracting #3: cost 9 inf + 1 153.233 * * [simplify]: Extracting #4: cost 8 inf + 2 153.233 * * [simplify]: Extracting #5: cost 2 inf + 730 153.233 * * [simplify]: Extracting #6: cost 0 inf + 972 153.234 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 153.234 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ 1 (fabs (cbrt k))) (* (/ (sqrt 1) (sqrt (cbrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 153.234 * * * * [progress]: [ 379 / 406 ] simplifiying candidate # 153.234 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 153.234 * * [simplify]: iters left: 4 (6 enodes) 153.236 * * [simplify]: iters left: 3 (20 enodes) 153.241 * * [simplify]: iters left: 2 (22 enodes) 153.247 * * [simplify]: Extracting #0: cost 1 inf + 0 153.247 * * [simplify]: Extracting #1: cost 4 inf + 0 153.248 * * [simplify]: Extracting #2: cost 5 inf + 1 153.248 * * [simplify]: Extracting #3: cost 7 inf + 1 153.248 * * [simplify]: Extracting #4: cost 1 inf + 368 153.248 * * [simplify]: Extracting #5: cost 0 inf + 490 153.248 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 153.248 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ 1 (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 153.248 * * * * [progress]: [ 380 / 406 ] simplifiying candidate # 153.249 * [simplify]: Simplifying (/ (sqrt 1) (sqrt 1)) 153.249 * * [simplify]: iters left: 3 (3 enodes) 153.252 * * [simplify]: iters left: 2 (9 enodes) 153.254 * * [simplify]: iters left: 1 (11 enodes) 153.257 * * [simplify]: Extracting #0: cost 1 inf + 0 153.257 * * [simplify]: Extracting #1: cost 0 inf + 1 153.257 * [simplify]: Simplified to 1 153.257 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* 1 (* (/ (sqrt 1) (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 153.257 * * * * [progress]: [ 381 / 406 ] simplifiying candidate # 153.258 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 153.258 * * [simplify]: iters left: 4 (6 enodes) 153.262 * * [simplify]: iters left: 3 (20 enodes) 153.267 * * [simplify]: iters left: 2 (22 enodes) 153.273 * * [simplify]: Extracting #0: cost 1 inf + 0 153.273 * * [simplify]: Extracting #1: cost 4 inf + 0 153.273 * * [simplify]: Extracting #2: cost 5 inf + 1 153.273 * * [simplify]: Extracting #3: cost 7 inf + 1 153.273 * * [simplify]: Extracting #4: cost 1 inf + 368 153.274 * * [simplify]: Extracting #5: cost 0 inf + 490 153.274 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 153.274 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ 1 (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 153.274 * * * * [progress]: [ 382 / 406 ] simplifiying candidate # 153.274 * [simplify]: Simplifying (/ (sqrt 1) 1) 153.274 * * [simplify]: iters left: 3 (3 enodes) 153.278 * * [simplify]: iters left: 2 (9 enodes) 153.280 * * [simplify]: iters left: 1 (11 enodes) 153.283 * * [simplify]: Extracting #0: cost 1 inf + 0 153.283 * * [simplify]: Extracting #1: cost 0 inf + 1 153.283 * [simplify]: Simplified to 1 153.283 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* 1 (* (/ (sqrt 1) (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 153.284 * * * * [progress]: [ 383 / 406 ] simplifiying candidate # 153.284 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 153.284 * * [simplify]: iters left: 6 (6 enodes) 153.287 * * [simplify]: iters left: 5 (22 enodes) 153.294 * * [simplify]: iters left: 4 (26 enodes) 153.302 * * [simplify]: Extracting #0: cost 1 inf + 0 153.302 * * [simplify]: Extracting #1: cost 6 inf + 0 153.302 * * [simplify]: Extracting #2: cost 9 inf + 1 153.302 * * [simplify]: Extracting #3: cost 11 inf + 1 153.303 * * [simplify]: Extracting #4: cost 8 inf + 84 153.303 * * [simplify]: Extracting #5: cost 2 inf + 1013 153.303 * * [simplify]: Extracting #6: cost 0 inf + 1376 153.303 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 153.304 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ 1 (cbrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 153.304 * * * * [progress]: [ 384 / 406 ] simplifiying candidate # 153.304 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt k) (cbrt k)))) 153.304 * * [simplify]: iters left: 6 (6 enodes) 153.307 * * [simplify]: iters left: 5 (21 enodes) 153.314 * * [simplify]: iters left: 4 (23 enodes) 153.320 * * [simplify]: Extracting #0: cost 1 inf + 0 153.320 * * [simplify]: Extracting #1: cost 4 inf + 0 153.320 * * [simplify]: Extracting #2: cost 6 inf + 1 153.321 * * [simplify]: Extracting #3: cost 9 inf + 1 153.321 * * [simplify]: Extracting #4: cost 8 inf + 2 153.321 * * [simplify]: Extracting #5: cost 1 inf + 810 153.321 * * [simplify]: Extracting #6: cost 0 inf + 972 153.321 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 153.321 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ 1 (fabs (cbrt k))) (* (/ 1 (sqrt (cbrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 153.322 * * * * [progress]: [ 385 / 406 ] simplifiying candidate # 153.322 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 153.322 * * [simplify]: iters left: 4 (5 enodes) 153.324 * * [simplify]: iters left: 3 (17 enodes) 153.330 * * [simplify]: iters left: 2 (19 enodes) 153.335 * * [simplify]: Extracting #0: cost 1 inf + 0 153.335 * * [simplify]: Extracting #1: cost 4 inf + 0 153.335 * * [simplify]: Extracting #2: cost 5 inf + 1 153.335 * * [simplify]: Extracting #3: cost 7 inf + 1 153.336 * * [simplify]: Extracting #4: cost 0 inf + 490 153.336 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 153.336 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ 1 (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 153.336 * * * * [progress]: [ 386 / 406 ] simplifiying candidate # 153.336 * [simplify]: Simplifying (/ 1 (sqrt 1)) 153.336 * * [simplify]: iters left: 3 (3 enodes) 153.342 * * [simplify]: iters left: 2 (11 enodes) 153.345 * * [simplify]: iters left: 1 (13 enodes) 153.348 * * [simplify]: Extracting #0: cost 1 inf + 0 153.348 * * [simplify]: Extracting #1: cost 0 inf + 1 153.349 * [simplify]: Simplified to 1 153.349 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* 1 (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 153.349 * * * * [progress]: [ 387 / 406 ] simplifiying candidate # 153.349 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 153.349 * * [simplify]: iters left: 4 (5 enodes) 153.352 * * [simplify]: iters left: 3 (17 enodes) 153.357 * * [simplify]: iters left: 2 (19 enodes) 153.363 * * [simplify]: Extracting #0: cost 1 inf + 0 153.363 * * [simplify]: Extracting #1: cost 4 inf + 0 153.363 * * [simplify]: Extracting #2: cost 5 inf + 1 153.363 * * [simplify]: Extracting #3: cost 7 inf + 1 153.363 * * [simplify]: Extracting #4: cost 0 inf + 490 153.363 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 153.364 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ 1 (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 153.364 * * * * [progress]: [ 388 / 406 ] simplifiying candidate # 153.364 * [simplify]: Simplifying (/ 1 1) 153.364 * * [simplify]: iters left: 2 (2 enodes) 153.365 * * [simplify]: iters left: 1 (6 enodes) 153.367 * * [simplify]: Extracting #0: cost 1 inf + 0 153.367 * * [simplify]: Extracting #1: cost 0 inf + 1 153.367 * [simplify]: Simplified to 1 153.367 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* 1 (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 153.368 * * * * [progress]: [ 389 / 406 ] simplifiying candidate # 153.368 * * * * [progress]: [ 390 / 406 ] simplifiying candidate # 153.368 * * * * [progress]: [ 391 / 406 ] simplifiying candidate # 153.368 * [simplify]: Simplifying (pow (* 2 PI) (/ (/ k 2) 2)) 153.368 * * [simplify]: iters left: 5 (7 enodes) 153.372 * * [simplify]: iters left: 4 (28 enodes) 153.382 * * [simplify]: iters left: 3 (43 enodes) 153.399 * * [simplify]: iters left: 2 (74 enodes) 153.426 * * [simplify]: iters left: 1 (151 enodes) 153.489 * * [simplify]: Extracting #0: cost 1 inf + 0 153.489 * * [simplify]: Extracting #1: cost 12 inf + 0 153.490 * * [simplify]: Extracting #2: cost 54 inf + 1 153.490 * * [simplify]: Extracting #3: cost 71 inf + 135 153.492 * * [simplify]: Extracting #4: cost 32 inf + 4638 153.496 * * [simplify]: Extracting #5: cost 6 inf + 15744 153.501 * * [simplify]: Extracting #6: cost 0 inf + 18744 153.506 * * [simplify]: Extracting #7: cost 0 inf + 18624 153.511 * [simplify]: Simplified to (pow (* 2 PI) (/ k 4)) 153.511 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (/ (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ 1 2) 2))) (pow (* 2 PI) (/ k 4))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 153.511 * * * * [progress]: [ 392 / 406 ] simplifiying candidate # 153.511 * [simplify]: Simplifying (* 1 (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 153.512 * * [simplify]: iters left: 6 (10 enodes) 153.518 * * [simplify]: iters left: 5 (44 enodes) 153.533 * * [simplify]: iters left: 4 (75 enodes) 153.552 * * [simplify]: iters left: 3 (120 enodes) 153.574 * * [simplify]: iters left: 2 (223 enodes) 153.636 * * [simplify]: iters left: 1 (432 enodes) 153.856 * * [simplify]: Extracting #0: cost 1 inf + 0 153.856 * * [simplify]: Extracting #1: cost 20 inf + 0 153.856 * * [simplify]: Extracting #2: cost 88 inf + 2 153.858 * * [simplify]: Extracting #3: cost 154 inf + 9 153.860 * * [simplify]: Extracting #4: cost 149 inf + 3631 153.868 * * [simplify]: Extracting #5: cost 44 inf + 29461 153.886 * * [simplify]: Extracting #6: cost 0 inf + 45810 153.904 * * [simplify]: Extracting #7: cost 0 inf + 45271 153.916 * * [simplify]: Extracting #8: cost 0 inf + 45064 153.925 * * [simplify]: Extracting #9: cost 0 inf + 44940 153.935 * [simplify]: Simplified to (pow (* PI 2) (/ (- 1 k) 4)) 153.935 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (/ (pow (* PI 2) (/ (- 1 k) 4)) (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 153.935 * * * * [progress]: [ 393 / 406 ] simplifiying candidate #real (real->posit16 (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2))))> 153.935 * * * * [progress]: [ 394 / 406 ] simplifiying candidate # 153.935 * * * * [progress]: [ 395 / 406 ] simplifiying candidate # 153.935 * [simplify]: Simplifying (- (+ (pow n 1/2) (* 1/8 (* (sqrt n) (* (pow (log n) 2) (pow k 2))))) (* 1/2 (* (sqrt n) (* (log n) k)))) 153.935 * * [simplify]: iters left: 6 (18 enodes) 153.941 * * [simplify]: iters left: 5 (83 enodes) 153.967 * * [simplify]: iters left: 4 (209 enodes) 154.078 * * [simplify]: Extracting #0: cost 1 inf + 0 154.079 * * [simplify]: Extracting #1: cost 10 inf + 0 154.079 * * [simplify]: Extracting #2: cost 88 inf + 0 154.079 * * [simplify]: Extracting #3: cost 161 inf + 5 154.080 * * [simplify]: Extracting #4: cost 138 inf + 3919 154.084 * * [simplify]: Extracting #5: cost 21 inf + 35430 154.090 * * [simplify]: Extracting #6: cost 0 inf + 39667 154.096 * * [simplify]: Extracting #7: cost 0 inf + 39427 154.102 * [simplify]: Simplified to (+ (sqrt n) (* (sqrt n) (- (* (* 1/8 (* k (log n))) (* k (log n))) (* 1/2 (* k (log n)))))) 154.102 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (+ (sqrt n) (* (sqrt n) (- (* (* 1/8 (* k (log n))) (* k (log n))) (* 1/2 (* k (log n)))))))) 154.102 * * * * [progress]: [ 396 / 406 ] simplifiying candidate # 154.102 * [simplify]: Simplifying (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) 154.103 * * [simplify]: iters left: 6 (10 enodes) 154.106 * * [simplify]: iters left: 5 (44 enodes) 154.120 * * [simplify]: iters left: 4 (87 enodes) 154.151 * * [simplify]: iters left: 3 (209 enodes) 154.199 * * [simplify]: Extracting #0: cost 1 inf + 0 154.199 * * [simplify]: Extracting #1: cost 32 inf + 0 154.199 * * [simplify]: Extracting #2: cost 114 inf + 73 154.200 * * [simplify]: Extracting #3: cost 146 inf + 1532 154.202 * * [simplify]: Extracting #4: cost 64 inf + 14982 154.207 * * [simplify]: Extracting #5: cost 4 inf + 29158 154.214 * * [simplify]: Extracting #6: cost 0 inf + 31027 154.224 * * [simplify]: Extracting #7: cost 0 inf + 30987 154.233 * [simplify]: Simplified to (exp (* (* (log n) 1/2) (- 1 k))) 154.233 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (exp (* (* (log n) 1/2) (- 1 k))))) 154.234 * * * * [progress]: [ 397 / 406 ] simplifiying candidate # 154.234 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) 154.234 * * [simplify]: iters left: 6 (13 enodes) 154.242 * * [simplify]: iters left: 5 (53 enodes) 154.261 * * [simplify]: iters left: 4 (109 enodes) 154.295 * * [simplify]: iters left: 3 (305 enodes) 154.405 * * [simplify]: Extracting #0: cost 1 inf + 0 154.405 * * [simplify]: Extracting #1: cost 34 inf + 0 154.405 * * [simplify]: Extracting #2: cost 135 inf + 73 154.406 * * [simplify]: Extracting #3: cost 197 inf + 2363 154.409 * * [simplify]: Extracting #4: cost 91 inf + 20834 154.416 * * [simplify]: Extracting #5: cost 9 inf + 40850 154.423 * * [simplify]: Extracting #6: cost 0 inf + 43041 154.432 * * [simplify]: Extracting #7: cost 0 inf + 43035 154.442 * [simplify]: Simplified to (sqrt (exp (- (log n) (* k (log n))))) 154.442 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (sqrt (exp (- (log n) (* k (log n))))))) 154.442 * * * * [progress]: [ 398 / 406 ] simplifiying candidate # 154.443 * [simplify]: Simplifying (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 154.443 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* +nan.0 (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 154.443 * * * * [progress]: [ 399 / 406 ] simplifiying candidate # 154.443 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 154.443 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* +nan.0 (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 154.443 * * * * [progress]: [ 400 / 406 ] simplifiying candidate # 154.443 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 154.443 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* +nan.0 (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 154.443 * * * * [progress]: [ 401 / 406 ] simplifiying candidate # 154.443 * [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))))))))))))) 154.443 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 154.444 * * * * [progress]: [ 402 / 406 ] simplifiying candidate # 154.444 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) 2)) k)) (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) 2)) (pow k 2))) (- (* +nan.0 (/ (* (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) 2)) (pow k 3)))))))) 154.444 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 154.444 * * * * [progress]: [ 403 / 406 ] simplifiying candidate # 154.444 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) (pow (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) (pow (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) 2)) k)) (- (* +nan.0 (* (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) (pow (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) 2)))))))) 154.444 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 154.444 * * * * [progress]: [ 404 / 406 ] simplifiying candidate # 154.444 * [simplify]: Simplifying (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) (* k (log (* 2 PI))))) (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) k)) (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) (pow k 2))) (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) (* (pow (log (* 2 PI)) 2) (pow k 2)))) (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) (* (log (* 2 PI)) (pow k 2)))) (- (* +nan.0 (pow (* PI 2) 1/4))))))))))))) 154.444 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* +nan.0 (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 154.445 * * * * [progress]: [ 405 / 406 ] simplifiying candidate # 154.445 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) k)) (- (* +nan.0 (/ (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) (pow k 2)))))))) 154.445 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* +nan.0 (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 154.445 * * * * [progress]: [ 406 / 406 ] simplifiying candidate # 154.445 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) (pow k 2))) (- (* +nan.0 (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))))))))) 154.445 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* +nan.0 (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 154.445 * * * [progress]: adding candidates to table 160.584 * * [progress]: iteration 4 / 4 160.584 * * * [progress]: picking best candidate 160.614 * * * * [pick]: Picked # 160.614 * * * [progress]: localizing error 160.657 * * * [progress]: generating rewritten candidates 160.657 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 160.662 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 160.667 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 160.792 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 160.835 * * * [progress]: generating series expansions 160.835 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 160.835 * [backup-simplify]: Simplify (pow n (/ (- 1 k) 2)) into (pow n (* 1/2 (- 1 k))) 160.835 * [approximate]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in (n k) around 0 160.835 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in k 160.835 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in k 160.835 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in k 160.835 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 160.835 * [taylor]: Taking taylor expansion of 1/2 in k 160.835 * [backup-simplify]: Simplify 1/2 into 1/2 160.835 * [taylor]: Taking taylor expansion of (- 1 k) in k 160.836 * [taylor]: Taking taylor expansion of 1 in k 160.836 * [backup-simplify]: Simplify 1 into 1 160.836 * [taylor]: Taking taylor expansion of k in k 160.836 * [backup-simplify]: Simplify 0 into 0 160.836 * [backup-simplify]: Simplify 1 into 1 160.836 * [taylor]: Taking taylor expansion of (log n) in k 160.836 * [taylor]: Taking taylor expansion of n in k 160.836 * [backup-simplify]: Simplify n into n 160.836 * [backup-simplify]: Simplify (log n) into (log n) 160.837 * [backup-simplify]: Simplify (- 0) into 0 160.837 * [backup-simplify]: Simplify (+ 1 0) into 1 160.838 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 160.838 * [backup-simplify]: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 160.838 * [backup-simplify]: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 160.838 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in n 160.838 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in n 160.838 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in n 160.838 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 160.838 * [taylor]: Taking taylor expansion of 1/2 in n 160.838 * [backup-simplify]: Simplify 1/2 into 1/2 160.838 * [taylor]: Taking taylor expansion of (- 1 k) in n 160.838 * [taylor]: Taking taylor expansion of 1 in n 160.838 * [backup-simplify]: Simplify 1 into 1 160.838 * [taylor]: Taking taylor expansion of k in n 160.838 * [backup-simplify]: Simplify k into k 160.838 * [taylor]: Taking taylor expansion of (log n) in n 160.838 * [taylor]: Taking taylor expansion of n in n 160.838 * [backup-simplify]: Simplify 0 into 0 160.838 * [backup-simplify]: Simplify 1 into 1 160.839 * [backup-simplify]: Simplify (log 1) into 0 160.839 * [backup-simplify]: Simplify (- k) into (- k) 160.839 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 160.839 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 160.839 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 160.839 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log n)) into (* 1/2 (* (- 1 k) (log n))) 160.840 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log n)))) into (exp (* 1/2 (* (- 1 k) (log n)))) 160.840 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in n 160.840 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in n 160.840 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in n 160.840 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 160.840 * [taylor]: Taking taylor expansion of 1/2 in n 160.840 * [backup-simplify]: Simplify 1/2 into 1/2 160.840 * [taylor]: Taking taylor expansion of (- 1 k) in n 160.840 * [taylor]: Taking taylor expansion of 1 in n 160.840 * [backup-simplify]: Simplify 1 into 1 160.840 * [taylor]: Taking taylor expansion of k in n 160.840 * [backup-simplify]: Simplify k into k 160.840 * [taylor]: Taking taylor expansion of (log n) in n 160.840 * [taylor]: Taking taylor expansion of n in n 160.840 * [backup-simplify]: Simplify 0 into 0 160.840 * [backup-simplify]: Simplify 1 into 1 160.841 * [backup-simplify]: Simplify (log 1) into 0 160.841 * [backup-simplify]: Simplify (- k) into (- k) 160.841 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 160.841 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 160.841 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 160.841 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log n)) into (* 1/2 (* (- 1 k) (log n))) 160.842 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log n)))) into (exp (* 1/2 (* (- 1 k) (log n)))) 160.842 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (log n)))) in k 160.842 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (log n))) in k 160.842 * [taylor]: Taking taylor expansion of 1/2 in k 160.842 * [backup-simplify]: Simplify 1/2 into 1/2 160.842 * [taylor]: Taking taylor expansion of (* (- 1 k) (log n)) in k 160.842 * [taylor]: Taking taylor expansion of (- 1 k) in k 160.842 * [taylor]: Taking taylor expansion of 1 in k 160.842 * [backup-simplify]: Simplify 1 into 1 160.842 * [taylor]: Taking taylor expansion of k in k 160.842 * [backup-simplify]: Simplify 0 into 0 160.842 * [backup-simplify]: Simplify 1 into 1 160.842 * [taylor]: Taking taylor expansion of (log n) in k 160.842 * [taylor]: Taking taylor expansion of n in k 160.842 * [backup-simplify]: Simplify n into n 160.842 * [backup-simplify]: Simplify (log n) into (log n) 160.842 * [backup-simplify]: Simplify (- 0) into 0 160.843 * [backup-simplify]: Simplify (+ 1 0) into 1 160.843 * [backup-simplify]: Simplify (* 1 (log n)) into (log n) 160.843 * [backup-simplify]: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 160.843 * [backup-simplify]: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 160.843 * [backup-simplify]: Simplify (pow n 1/2) into (pow n 1/2) 160.845 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 160.845 * [backup-simplify]: Simplify (- 0) into 0 160.846 * [backup-simplify]: Simplify (+ 0 0) into 0 160.846 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 160.847 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 160.847 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (log n))) into 0 160.848 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 160.848 * [taylor]: Taking taylor expansion of 0 in k 160.848 * [backup-simplify]: Simplify 0 into 0 160.848 * [backup-simplify]: Simplify 0 into 0 160.849 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 160.849 * [backup-simplify]: Simplify (- 1) into -1 160.850 * [backup-simplify]: Simplify (+ 0 -1) into -1 160.850 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (log n))) into (- (log n)) 160.850 * [backup-simplify]: Simplify (+ (* 1/2 (- (log n))) (* 0 (log n))) into (- (* 1/2 (log n))) 160.851 * [backup-simplify]: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 160.851 * [backup-simplify]: Simplify (* -1/2 (* (sqrt n) (log n))) into (* -1/2 (* (sqrt n) (log n))) 160.854 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 160.854 * [backup-simplify]: Simplify (- 0) into 0 160.854 * [backup-simplify]: Simplify (+ 0 0) into 0 160.855 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 160.856 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 160.856 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 160.858 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 160.858 * [taylor]: Taking taylor expansion of 0 in k 160.858 * [backup-simplify]: Simplify 0 into 0 160.858 * [backup-simplify]: Simplify 0 into 0 160.858 * [backup-simplify]: Simplify 0 into 0 160.859 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 160.860 * [backup-simplify]: Simplify (- 0) into 0 160.860 * [backup-simplify]: Simplify (+ 0 0) into 0 160.861 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (log n)))) into 0 160.861 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (log n))) (* 0 (log n)))) into 0 160.862 * [backup-simplify]: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 160.862 * [backup-simplify]: Simplify (* 1/8 (* (sqrt n) (pow (log n) 2))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 160.862 * [backup-simplify]: Simplify (+ (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -1/2 (* (sqrt n) (log n))) (* k 1)) (pow n 1/2))) into (- (+ (pow n 1/2) (* 1/8 (* (sqrt n) (* (pow (log n) 2) (pow k 2))))) (* 1/2 (* (sqrt n) (* (log n) k)))) 160.862 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (- 1 (/ 1 k)) 2)) into (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) 160.862 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 160.862 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in k 160.862 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in k 160.862 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in k 160.862 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 160.862 * [taylor]: Taking taylor expansion of 1/2 in k 160.862 * [backup-simplify]: Simplify 1/2 into 1/2 160.862 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 160.862 * [taylor]: Taking taylor expansion of 1 in k 160.862 * [backup-simplify]: Simplify 1 into 1 160.863 * [taylor]: Taking taylor expansion of (/ 1 k) in k 160.863 * [taylor]: Taking taylor expansion of k in k 160.863 * [backup-simplify]: Simplify 0 into 0 160.863 * [backup-simplify]: Simplify 1 into 1 160.863 * [backup-simplify]: Simplify (/ 1 1) into 1 160.863 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 160.863 * [taylor]: Taking taylor expansion of (/ 1 n) in k 160.863 * [taylor]: Taking taylor expansion of n in k 160.863 * [backup-simplify]: Simplify n into n 160.863 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 160.863 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 160.863 * [backup-simplify]: Simplify (- 1) into -1 160.863 * [backup-simplify]: Simplify (+ 0 -1) into -1 160.864 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 160.864 * [backup-simplify]: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 160.864 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) 160.864 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in n 160.864 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in n 160.864 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in n 160.864 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 160.864 * [taylor]: Taking taylor expansion of 1/2 in n 160.864 * [backup-simplify]: Simplify 1/2 into 1/2 160.864 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 160.864 * [taylor]: Taking taylor expansion of 1 in n 160.864 * [backup-simplify]: Simplify 1 into 1 160.864 * [taylor]: Taking taylor expansion of (/ 1 k) in n 160.864 * [taylor]: Taking taylor expansion of k in n 160.864 * [backup-simplify]: Simplify k into k 160.864 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 160.864 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 160.864 * [taylor]: Taking taylor expansion of (/ 1 n) in n 160.864 * [taylor]: Taking taylor expansion of n in n 160.864 * [backup-simplify]: Simplify 0 into 0 160.864 * [backup-simplify]: Simplify 1 into 1 160.865 * [backup-simplify]: Simplify (/ 1 1) into 1 160.865 * [backup-simplify]: Simplify (log 1) into 0 160.865 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 160.865 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 160.865 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 160.865 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 160.865 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log n))) into (* -1/2 (* (- 1 (/ 1 k)) (log n))) 160.865 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 160.865 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in n 160.865 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in n 160.865 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in n 160.865 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 160.866 * [taylor]: Taking taylor expansion of 1/2 in n 160.866 * [backup-simplify]: Simplify 1/2 into 1/2 160.866 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 160.866 * [taylor]: Taking taylor expansion of 1 in n 160.866 * [backup-simplify]: Simplify 1 into 1 160.866 * [taylor]: Taking taylor expansion of (/ 1 k) in n 160.866 * [taylor]: Taking taylor expansion of k in n 160.866 * [backup-simplify]: Simplify k into k 160.866 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 160.866 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 160.866 * [taylor]: Taking taylor expansion of (/ 1 n) in n 160.866 * [taylor]: Taking taylor expansion of n in n 160.866 * [backup-simplify]: Simplify 0 into 0 160.866 * [backup-simplify]: Simplify 1 into 1 160.866 * [backup-simplify]: Simplify (/ 1 1) into 1 160.866 * [backup-simplify]: Simplify (log 1) into 0 160.866 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 160.866 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 160.866 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 160.867 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 160.867 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log n))) into (* -1/2 (* (- 1 (/ 1 k)) (log n))) 160.867 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 160.867 * [taylor]: Taking taylor expansion of (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) in k 160.867 * [taylor]: Taking taylor expansion of (* -1/2 (* (- 1 (/ 1 k)) (log n))) in k 160.867 * [taylor]: Taking taylor expansion of -1/2 in k 160.867 * [backup-simplify]: Simplify -1/2 into -1/2 160.867 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log n)) in k 160.867 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 160.867 * [taylor]: Taking taylor expansion of 1 in k 160.867 * [backup-simplify]: Simplify 1 into 1 160.867 * [taylor]: Taking taylor expansion of (/ 1 k) in k 160.867 * [taylor]: Taking taylor expansion of k in k 160.867 * [backup-simplify]: Simplify 0 into 0 160.867 * [backup-simplify]: Simplify 1 into 1 160.867 * [backup-simplify]: Simplify (/ 1 1) into 1 160.867 * [taylor]: Taking taylor expansion of (log n) in k 160.867 * [taylor]: Taking taylor expansion of n in k 160.867 * [backup-simplify]: Simplify n into n 160.867 * [backup-simplify]: Simplify (log n) into (log n) 160.868 * [backup-simplify]: Simplify (- 1) into -1 160.868 * [backup-simplify]: Simplify (+ 0 -1) into -1 160.868 * [backup-simplify]: Simplify (* -1 (log n)) into (* -1 (log n)) 160.868 * [backup-simplify]: Simplify (* -1/2 (* -1 (log n))) into (* 1/2 (log n)) 160.868 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 160.868 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 160.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 160.870 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 160.870 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 160.870 * [backup-simplify]: Simplify (- 0) into 0 160.870 * [backup-simplify]: Simplify (+ 0 0) into 0 160.870 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 160.871 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 160.871 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 160.871 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 160.871 * [taylor]: Taking taylor expansion of 0 in k 160.871 * [backup-simplify]: Simplify 0 into 0 160.871 * [backup-simplify]: Simplify 0 into 0 160.872 * [backup-simplify]: Simplify 0 into 0 160.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 160.874 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 160.874 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 160.874 * [backup-simplify]: Simplify (- 0) into 0 160.875 * [backup-simplify]: Simplify (+ 0 0) into 0 160.875 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 160.875 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 160.876 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 160.877 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 160.877 * [taylor]: Taking taylor expansion of 0 in k 160.877 * [backup-simplify]: Simplify 0 into 0 160.877 * [backup-simplify]: Simplify 0 into 0 160.877 * [backup-simplify]: Simplify 0 into 0 160.877 * [backup-simplify]: Simplify 0 into 0 160.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 160.880 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 160.880 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 160.880 * [backup-simplify]: Simplify (- 0) into 0 160.881 * [backup-simplify]: Simplify (+ 0 0) into 0 160.882 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 160.882 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 160.882 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 160.883 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 160.883 * [taylor]: Taking taylor expansion of 0 in k 160.883 * [backup-simplify]: Simplify 0 into 0 160.883 * [backup-simplify]: Simplify 0 into 0 160.884 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 (/ 1 k))) (log (/ 1 n))))) into (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) 160.884 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (- 1 (/ 1 (- k))) 2)) into (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) 160.884 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 160.884 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in k 160.884 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in k 160.884 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in k 160.884 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 160.884 * [taylor]: Taking taylor expansion of 1/2 in k 160.884 * [backup-simplify]: Simplify 1/2 into 1/2 160.884 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 160.884 * [taylor]: Taking taylor expansion of (/ 1 k) in k 160.884 * [taylor]: Taking taylor expansion of k in k 160.884 * [backup-simplify]: Simplify 0 into 0 160.884 * [backup-simplify]: Simplify 1 into 1 160.884 * [backup-simplify]: Simplify (/ 1 1) into 1 160.884 * [taylor]: Taking taylor expansion of 1 in k 160.884 * [backup-simplify]: Simplify 1 into 1 160.884 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 160.884 * [taylor]: Taking taylor expansion of (/ -1 n) in k 160.884 * [taylor]: Taking taylor expansion of -1 in k 160.884 * [backup-simplify]: Simplify -1 into -1 160.884 * [taylor]: Taking taylor expansion of n in k 160.884 * [backup-simplify]: Simplify n into n 160.884 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 160.884 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 160.885 * [backup-simplify]: Simplify (+ 1 0) into 1 160.885 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 160.885 * [backup-simplify]: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 160.885 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) 160.885 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in n 160.885 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in n 160.885 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in n 160.885 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 160.885 * [taylor]: Taking taylor expansion of 1/2 in n 160.885 * [backup-simplify]: Simplify 1/2 into 1/2 160.885 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 160.885 * [taylor]: Taking taylor expansion of (/ 1 k) in n 160.885 * [taylor]: Taking taylor expansion of k in n 160.885 * [backup-simplify]: Simplify k into k 160.885 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 160.885 * [taylor]: Taking taylor expansion of 1 in n 160.885 * [backup-simplify]: Simplify 1 into 1 160.885 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 160.885 * [taylor]: Taking taylor expansion of (/ -1 n) in n 160.885 * [taylor]: Taking taylor expansion of -1 in n 160.885 * [backup-simplify]: Simplify -1 into -1 160.885 * [taylor]: Taking taylor expansion of n in n 160.885 * [backup-simplify]: Simplify 0 into 0 160.885 * [backup-simplify]: Simplify 1 into 1 160.886 * [backup-simplify]: Simplify (/ -1 1) into -1 160.886 * [backup-simplify]: Simplify (log -1) into (log -1) 160.886 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 160.886 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 160.887 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 160.893 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log -1) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) 160.894 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 160.894 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in n 160.894 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in n 160.894 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in n 160.894 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 160.894 * [taylor]: Taking taylor expansion of 1/2 in n 160.894 * [backup-simplify]: Simplify 1/2 into 1/2 160.894 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 160.894 * [taylor]: Taking taylor expansion of (/ 1 k) in n 160.894 * [taylor]: Taking taylor expansion of k in n 160.894 * [backup-simplify]: Simplify k into k 160.894 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 160.894 * [taylor]: Taking taylor expansion of 1 in n 160.894 * [backup-simplify]: Simplify 1 into 1 160.894 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 160.894 * [taylor]: Taking taylor expansion of (/ -1 n) in n 160.894 * [taylor]: Taking taylor expansion of -1 in n 160.894 * [backup-simplify]: Simplify -1 into -1 160.894 * [taylor]: Taking taylor expansion of n in n 160.894 * [backup-simplify]: Simplify 0 into 0 160.894 * [backup-simplify]: Simplify 1 into 1 160.895 * [backup-simplify]: Simplify (/ -1 1) into -1 160.895 * [backup-simplify]: Simplify (log -1) into (log -1) 160.895 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 160.895 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 160.896 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 160.897 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log -1) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) 160.897 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 160.897 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) in k 160.897 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) in k 160.897 * [taylor]: Taking taylor expansion of 1/2 in k 160.897 * [backup-simplify]: Simplify 1/2 into 1/2 160.898 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log -1) (log n))) in k 160.898 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 160.898 * [taylor]: Taking taylor expansion of (/ 1 k) in k 160.898 * [taylor]: Taking taylor expansion of k in k 160.898 * [backup-simplify]: Simplify 0 into 0 160.898 * [backup-simplify]: Simplify 1 into 1 160.898 * [backup-simplify]: Simplify (/ 1 1) into 1 160.898 * [taylor]: Taking taylor expansion of 1 in k 160.898 * [backup-simplify]: Simplify 1 into 1 160.898 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 160.898 * [taylor]: Taking taylor expansion of (log -1) in k 160.898 * [taylor]: Taking taylor expansion of -1 in k 160.898 * [backup-simplify]: Simplify -1 into -1 160.899 * [backup-simplify]: Simplify (log -1) into (log -1) 160.899 * [taylor]: Taking taylor expansion of (log n) in k 160.899 * [taylor]: Taking taylor expansion of n in k 160.899 * [backup-simplify]: Simplify n into n 160.899 * [backup-simplify]: Simplify (log n) into (log n) 160.899 * [backup-simplify]: Simplify (+ 1 0) into 1 160.899 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 160.900 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 160.900 * [backup-simplify]: Simplify (* 1 (- (log -1) (log n))) into (- (log -1) (log n)) 160.901 * [backup-simplify]: Simplify (* 1/2 (- (log -1) (log n))) into (* 1/2 (- (log -1) (log n))) 160.901 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 160.902 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 160.903 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 160.904 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 160.904 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 160.905 * [backup-simplify]: Simplify (+ 0 0) into 0 160.905 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 160.906 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 160.906 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log -1) (log n)))) into 0 160.908 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 160.908 * [taylor]: Taking taylor expansion of 0 in k 160.908 * [backup-simplify]: Simplify 0 into 0 160.908 * [backup-simplify]: Simplify 0 into 0 160.908 * [backup-simplify]: Simplify 0 into 0 160.909 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 160.912 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 160.912 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 160.912 * [backup-simplify]: Simplify (+ 0 0) into 0 160.913 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 160.914 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 160.915 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 160.917 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 160.917 * [taylor]: Taking taylor expansion of 0 in k 160.917 * [backup-simplify]: Simplify 0 into 0 160.917 * [backup-simplify]: Simplify 0 into 0 160.917 * [backup-simplify]: Simplify 0 into 0 160.917 * [backup-simplify]: Simplify 0 into 0 160.918 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 160.924 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 160.924 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 160.925 * [backup-simplify]: Simplify (+ 0 0) into 0 160.926 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 160.927 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 160.928 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 160.930 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 160.930 * [taylor]: Taking taylor expansion of 0 in k 160.930 * [backup-simplify]: Simplify 0 into 0 160.930 * [backup-simplify]: Simplify 0 into 0 160.931 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log -1) (log (/ 1 (- n))))))) into (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) 160.931 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 160.931 * [backup-simplify]: Simplify (/ 1 (sqrt k)) into (sqrt (/ 1 k)) 160.931 * [approximate]: Taking taylor expansion of (sqrt (/ 1 k)) in (k) around 0 160.931 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 160.931 * [taylor]: Taking taylor expansion of (/ 1 k) in k 160.931 * [taylor]: Taking taylor expansion of k in k 160.931 * [backup-simplify]: Simplify 0 into 0 160.931 * [backup-simplify]: Simplify 1 into 1 160.931 * [backup-simplify]: Simplify (/ 1 1) into 1 160.932 * [backup-simplify]: Simplify (sqrt 0) into 0 160.933 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 160.933 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 160.933 * [taylor]: Taking taylor expansion of (/ 1 k) in k 160.933 * [taylor]: Taking taylor expansion of k in k 160.933 * [backup-simplify]: Simplify 0 into 0 160.933 * [backup-simplify]: Simplify 1 into 1 160.934 * [backup-simplify]: Simplify (/ 1 1) into 1 160.934 * [backup-simplify]: Simplify (sqrt 0) into 0 160.935 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 160.935 * [backup-simplify]: Simplify 0 into 0 160.936 * [backup-simplify]: Simplify +nan.0 into +nan.0 160.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 160.939 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 160.939 * [backup-simplify]: Simplify +nan.0 into +nan.0 160.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 160.944 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 160.944 * [backup-simplify]: Simplify +nan.0 into +nan.0 160.944 * [backup-simplify]: Simplify (+ (* +nan.0 (pow k 2)) (+ (* +nan.0 k) +nan.0)) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 160.944 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 k))) into (sqrt k) 160.944 * [approximate]: Taking taylor expansion of (sqrt k) in (k) around 0 160.944 * [taylor]: Taking taylor expansion of (sqrt k) in k 160.945 * [taylor]: Taking taylor expansion of k in k 160.945 * [backup-simplify]: Simplify 0 into 0 160.945 * [backup-simplify]: Simplify 1 into 1 160.945 * [backup-simplify]: Simplify (sqrt 0) into 0 160.946 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 160.946 * [taylor]: Taking taylor expansion of (sqrt k) in k 160.946 * [taylor]: Taking taylor expansion of k in k 160.946 * [backup-simplify]: Simplify 0 into 0 160.946 * [backup-simplify]: Simplify 1 into 1 160.947 * [backup-simplify]: Simplify (sqrt 0) into 0 160.948 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 160.948 * [backup-simplify]: Simplify 0 into 0 160.948 * [backup-simplify]: Simplify +nan.0 into +nan.0 160.950 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 160.950 * [backup-simplify]: Simplify +nan.0 into +nan.0 160.953 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 160.953 * [backup-simplify]: Simplify +nan.0 into +nan.0 160.953 * [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)))))))) 160.953 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 (- k)))) into (/ 1 (sqrt (/ -1 k))) 160.953 * [approximate]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in (k) around 0 160.953 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 160.953 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 160.953 * [taylor]: Taking taylor expansion of (/ -1 k) in k 160.953 * [taylor]: Taking taylor expansion of -1 in k 160.953 * [backup-simplify]: Simplify -1 into -1 160.953 * [taylor]: Taking taylor expansion of k in k 160.953 * [backup-simplify]: Simplify 0 into 0 160.953 * [backup-simplify]: Simplify 1 into 1 160.953 * [backup-simplify]: Simplify (/ -1 1) into -1 160.954 * [backup-simplify]: Simplify (sqrt 0) into 0 160.955 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 160.955 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 160.955 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 160.955 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 160.955 * [taylor]: Taking taylor expansion of (/ -1 k) in k 160.955 * [taylor]: Taking taylor expansion of -1 in k 160.955 * [backup-simplify]: Simplify -1 into -1 160.955 * [taylor]: Taking taylor expansion of k in k 160.955 * [backup-simplify]: Simplify 0 into 0 160.955 * [backup-simplify]: Simplify 1 into 1 160.955 * [backup-simplify]: Simplify (/ -1 1) into -1 160.955 * [backup-simplify]: Simplify (sqrt 0) into 0 160.956 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 160.957 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 160.957 * [backup-simplify]: Simplify +nan.0 into +nan.0 160.957 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 160.959 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 160.960 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 160.960 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 160.961 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 160.963 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 160.965 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 160.966 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 160.966 * [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))))) 160.966 * * * * [progress]: [ 3 / 4 ] generating series at (2) 160.967 * [backup-simplify]: Simplify (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2)))) into (* (* (pow n (* 1/2 (- 1 k))) (pow (pow (* 2 PI) (* 1/4 (- 1 k))) 2)) (sqrt (/ 1 k))) 160.967 * [approximate]: Taking taylor expansion of (* (* (pow n (* 1/2 (- 1 k))) (pow (pow (* 2 PI) (* 1/4 (- 1 k))) 2)) (sqrt (/ 1 k))) in (k n) around 0 160.967 * [taylor]: Taking taylor expansion of (* (* (pow n (* 1/2 (- 1 k))) (pow (pow (* 2 PI) (* 1/4 (- 1 k))) 2)) (sqrt (/ 1 k))) in n 160.967 * [taylor]: Taking taylor expansion of (* (pow n (* 1/2 (- 1 k))) (pow (pow (* 2 PI) (* 1/4 (- 1 k))) 2)) in n 160.967 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in n 160.967 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in n 160.967 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in n 160.967 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 160.967 * [taylor]: Taking taylor expansion of 1/2 in n 160.967 * [backup-simplify]: Simplify 1/2 into 1/2 160.967 * [taylor]: Taking taylor expansion of (- 1 k) in n 160.967 * [taylor]: Taking taylor expansion of 1 in n 160.967 * [backup-simplify]: Simplify 1 into 1 160.967 * [taylor]: Taking taylor expansion of k in n 160.967 * [backup-simplify]: Simplify k into k 160.967 * [taylor]: Taking taylor expansion of (log n) in n 160.967 * [taylor]: Taking taylor expansion of n in n 160.967 * [backup-simplify]: Simplify 0 into 0 160.967 * [backup-simplify]: Simplify 1 into 1 160.968 * [backup-simplify]: Simplify (log 1) into 0 160.968 * [backup-simplify]: Simplify (- k) into (- k) 160.968 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 160.968 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 160.968 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 160.968 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log n)) into (* 1/2 (* (- 1 k) (log n))) 160.968 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log n)))) into (exp (* 1/2 (* (- 1 k) (log n)))) 160.968 * [taylor]: Taking taylor expansion of (pow (pow (* 2 PI) (* 1/4 (- 1 k))) 2) in n 160.968 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/4 (- 1 k))) in n 160.968 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 PI)))) in n 160.968 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 PI))) in n 160.968 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n 160.968 * [taylor]: Taking taylor expansion of 1/4 in n 160.968 * [backup-simplify]: Simplify 1/4 into 1/4 160.968 * [taylor]: Taking taylor expansion of (- 1 k) in n 160.968 * [taylor]: Taking taylor expansion of 1 in n 160.968 * [backup-simplify]: Simplify 1 into 1 160.968 * [taylor]: Taking taylor expansion of k in n 160.968 * [backup-simplify]: Simplify k into k 160.968 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 160.968 * [taylor]: Taking taylor expansion of (* 2 PI) in n 160.969 * [taylor]: Taking taylor expansion of 2 in n 160.969 * [backup-simplify]: Simplify 2 into 2 160.969 * [taylor]: Taking taylor expansion of PI in n 160.969 * [backup-simplify]: Simplify PI into PI 160.969 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 160.969 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 160.969 * [backup-simplify]: Simplify (- k) into (- k) 160.969 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 160.970 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k)) 160.970 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (log (* 2 PI))) into (* 1/4 (* (- 1 k) (log (* 2 PI)))) 160.971 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) into (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) 160.971 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 160.971 * [taylor]: Taking taylor expansion of (/ 1 k) in n 160.971 * [taylor]: Taking taylor expansion of k in n 160.971 * [backup-simplify]: Simplify k into k 160.971 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 160.971 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 160.971 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 160.971 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 160.971 * [taylor]: Taking taylor expansion of (* (* (pow n (* 1/2 (- 1 k))) (pow (pow (* 2 PI) (* 1/4 (- 1 k))) 2)) (sqrt (/ 1 k))) in k 160.971 * [taylor]: Taking taylor expansion of (* (pow n (* 1/2 (- 1 k))) (pow (pow (* 2 PI) (* 1/4 (- 1 k))) 2)) in k 160.971 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in k 160.971 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in k 160.971 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in k 160.971 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 160.971 * [taylor]: Taking taylor expansion of 1/2 in k 160.971 * [backup-simplify]: Simplify 1/2 into 1/2 160.971 * [taylor]: Taking taylor expansion of (- 1 k) in k 160.971 * [taylor]: Taking taylor expansion of 1 in k 160.971 * [backup-simplify]: Simplify 1 into 1 160.971 * [taylor]: Taking taylor expansion of k in k 160.971 * [backup-simplify]: Simplify 0 into 0 160.971 * [backup-simplify]: Simplify 1 into 1 160.971 * [taylor]: Taking taylor expansion of (log n) in k 160.971 * [taylor]: Taking taylor expansion of n in k 160.971 * [backup-simplify]: Simplify n into n 160.971 * [backup-simplify]: Simplify (log n) into (log n) 160.972 * [backup-simplify]: Simplify (- 0) into 0 160.972 * [backup-simplify]: Simplify (+ 1 0) into 1 160.972 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 160.972 * [backup-simplify]: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 160.972 * [backup-simplify]: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 160.972 * [taylor]: Taking taylor expansion of (pow (pow (* 2 PI) (* 1/4 (- 1 k))) 2) in k 160.972 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/4 (- 1 k))) in k 160.972 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 PI)))) in k 160.972 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 PI))) in k 160.972 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in k 160.972 * [taylor]: Taking taylor expansion of 1/4 in k 160.972 * [backup-simplify]: Simplify 1/4 into 1/4 160.972 * [taylor]: Taking taylor expansion of (- 1 k) in k 160.972 * [taylor]: Taking taylor expansion of 1 in k 160.972 * [backup-simplify]: Simplify 1 into 1 160.972 * [taylor]: Taking taylor expansion of k in k 160.972 * [backup-simplify]: Simplify 0 into 0 160.972 * [backup-simplify]: Simplify 1 into 1 160.973 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 160.973 * [taylor]: Taking taylor expansion of (* 2 PI) in k 160.973 * [taylor]: Taking taylor expansion of 2 in k 160.973 * [backup-simplify]: Simplify 2 into 2 160.973 * [taylor]: Taking taylor expansion of PI in k 160.973 * [backup-simplify]: Simplify PI into PI 160.973 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 160.973 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 160.974 * [backup-simplify]: Simplify (- 0) into 0 160.974 * [backup-simplify]: Simplify (+ 1 0) into 1 160.974 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 160.975 * [backup-simplify]: Simplify (* 1/4 (log (* 2 PI))) into (* 1/4 (log (* 2 PI))) 160.977 * [backup-simplify]: Simplify (exp (* 1/4 (log (* 2 PI)))) into (pow (* 2 PI) 1/4) 160.977 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 160.977 * [taylor]: Taking taylor expansion of (/ 1 k) in k 160.977 * [taylor]: Taking taylor expansion of k in k 160.977 * [backup-simplify]: Simplify 0 into 0 160.977 * [backup-simplify]: Simplify 1 into 1 160.977 * [backup-simplify]: Simplify (/ 1 1) into 1 160.978 * [backup-simplify]: Simplify (sqrt 0) into 0 160.979 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 160.979 * [taylor]: Taking taylor expansion of (* (* (pow n (* 1/2 (- 1 k))) (pow (pow (* 2 PI) (* 1/4 (- 1 k))) 2)) (sqrt (/ 1 k))) in k 160.980 * [taylor]: Taking taylor expansion of (* (pow n (* 1/2 (- 1 k))) (pow (pow (* 2 PI) (* 1/4 (- 1 k))) 2)) in k 160.980 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in k 160.980 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in k 160.980 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in k 160.980 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 160.980 * [taylor]: Taking taylor expansion of 1/2 in k 160.980 * [backup-simplify]: Simplify 1/2 into 1/2 160.980 * [taylor]: Taking taylor expansion of (- 1 k) in k 160.980 * [taylor]: Taking taylor expansion of 1 in k 160.980 * [backup-simplify]: Simplify 1 into 1 160.980 * [taylor]: Taking taylor expansion of k in k 160.980 * [backup-simplify]: Simplify 0 into 0 160.980 * [backup-simplify]: Simplify 1 into 1 160.980 * [taylor]: Taking taylor expansion of (log n) in k 160.980 * [taylor]: Taking taylor expansion of n in k 160.980 * [backup-simplify]: Simplify n into n 160.980 * [backup-simplify]: Simplify (log n) into (log n) 160.980 * [backup-simplify]: Simplify (- 0) into 0 160.981 * [backup-simplify]: Simplify (+ 1 0) into 1 160.981 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 160.981 * [backup-simplify]: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 160.981 * [backup-simplify]: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 160.981 * [taylor]: Taking taylor expansion of (pow (pow (* 2 PI) (* 1/4 (- 1 k))) 2) in k 160.981 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/4 (- 1 k))) in k 160.981 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 PI)))) in k 160.981 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 PI))) in k 160.982 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in k 160.982 * [taylor]: Taking taylor expansion of 1/4 in k 160.982 * [backup-simplify]: Simplify 1/4 into 1/4 160.982 * [taylor]: Taking taylor expansion of (- 1 k) in k 160.982 * [taylor]: Taking taylor expansion of 1 in k 160.982 * [backup-simplify]: Simplify 1 into 1 160.982 * [taylor]: Taking taylor expansion of k in k 160.982 * [backup-simplify]: Simplify 0 into 0 160.982 * [backup-simplify]: Simplify 1 into 1 160.982 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 160.982 * [taylor]: Taking taylor expansion of (* 2 PI) in k 160.982 * [taylor]: Taking taylor expansion of 2 in k 160.982 * [backup-simplify]: Simplify 2 into 2 160.982 * [taylor]: Taking taylor expansion of PI in k 160.982 * [backup-simplify]: Simplify PI into PI 160.982 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 160.983 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 160.984 * [backup-simplify]: Simplify (- 0) into 0 160.984 * [backup-simplify]: Simplify (+ 1 0) into 1 160.984 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 160.986 * [backup-simplify]: Simplify (* 1/4 (log (* 2 PI))) into (* 1/4 (log (* 2 PI))) 160.988 * [backup-simplify]: Simplify (exp (* 1/4 (log (* 2 PI)))) into (pow (* 2 PI) 1/4) 160.989 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 160.989 * [taylor]: Taking taylor expansion of (/ 1 k) in k 160.989 * [taylor]: Taking taylor expansion of k in k 160.989 * [backup-simplify]: Simplify 0 into 0 160.989 * [backup-simplify]: Simplify 1 into 1 160.989 * [backup-simplify]: Simplify (/ 1 1) into 1 160.989 * [backup-simplify]: Simplify (sqrt 0) into 0 160.991 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 160.994 * [backup-simplify]: Simplify (* (pow (* 2 PI) 1/4) (pow (* 2 PI) 1/4)) into (sqrt (* PI 2)) 160.995 * [backup-simplify]: Simplify (* (pow n 1/2) (sqrt (* PI 2))) into (* (sqrt 2) (sqrt (* n PI))) 160.995 * [backup-simplify]: Simplify (* (* (sqrt 2) (sqrt (* n PI))) 0) into 0 160.995 * [taylor]: Taking taylor expansion of 0 in n 160.995 * [backup-simplify]: Simplify 0 into 0 160.995 * [backup-simplify]: Simplify 0 into 0 160.996 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 160.998 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 160.998 * [backup-simplify]: Simplify (- 1) into -1 160.999 * [backup-simplify]: Simplify (+ 0 -1) into -1 161.000 * [backup-simplify]: Simplify (+ (* 1/4 -1) (* 0 1)) into -1/4 161.003 * [backup-simplify]: Simplify (+ (* 1/4 0) (* -1/4 (log (* 2 PI)))) into (- (* 1/4 (log (* 2 PI)))) 161.015 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/4 (log (* 2 PI)))) 1) 1)))) into (* -1/4 (* (pow (* PI 2) 1/4) (log (* 2 PI)))) 161.033 * [backup-simplify]: Simplify (+ (* (pow (* 2 PI) 1/4) (* -1/4 (* (pow (* PI 2) 1/4) (log (* 2 PI))))) (* (* -1/4 (* (pow (* PI 2) 1/4) (log (* 2 PI)))) (pow (* 2 PI) 1/4))) into (- (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt PI)))) 161.033 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 161.034 * [backup-simplify]: Simplify (- 1) into -1 161.034 * [backup-simplify]: Simplify (+ 0 -1) into -1 161.035 * [backup-simplify]: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2 161.036 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log n))) into (- (* 1/2 (log n))) 161.036 * [backup-simplify]: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 161.040 * [backup-simplify]: Simplify (+ (* (pow n 1/2) (- (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt PI))))) (* (* -1/2 (* (sqrt n) (log n))) (sqrt (* PI 2)))) into (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))) 161.042 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) (sqrt (* n PI))) +nan.0) (* (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) 161.042 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 161.042 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 161.042 * [taylor]: Taking taylor expansion of +nan.0 in n 161.042 * [backup-simplify]: Simplify +nan.0 into +nan.0 161.042 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 161.042 * [taylor]: Taking taylor expansion of (sqrt 2) in n 161.042 * [taylor]: Taking taylor expansion of 2 in n 161.043 * [backup-simplify]: Simplify 2 into 2 161.043 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 161.043 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 161.043 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 161.043 * [taylor]: Taking taylor expansion of (* n PI) in n 161.043 * [taylor]: Taking taylor expansion of n in n 161.043 * [backup-simplify]: Simplify 0 into 0 161.043 * [backup-simplify]: Simplify 1 into 1 161.043 * [taylor]: Taking taylor expansion of PI in n 161.043 * [backup-simplify]: Simplify PI into PI 161.044 * [backup-simplify]: Simplify (* 0 PI) into 0 161.045 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 161.045 * [backup-simplify]: Simplify (sqrt 0) into 0 161.046 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 161.046 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 161.046 * [backup-simplify]: Simplify (* +nan.0 0) into 0 161.047 * [backup-simplify]: Simplify (- 0) into 0 161.047 * [backup-simplify]: Simplify 0 into 0 161.047 * [backup-simplify]: Simplify 0 into 0 161.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 161.049 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 161.049 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 161.051 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 161.052 * [backup-simplify]: Simplify (- 0) into 0 161.052 * [backup-simplify]: Simplify (+ 0 0) into 0 161.053 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 -1) (* 0 1))) into 0 161.053 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* -1/4 0) (* 0 (log (* 2 PI))))) into 0 161.061 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/4 (log (* 2 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (* (pow (* PI 2) 1/4) (pow (log (* 2 PI)) 2))) 161.087 * [backup-simplify]: Simplify (+ (* (pow (* 2 PI) 1/4) (* 1/32 (* (pow (* PI 2) 1/4) (pow (log (* 2 PI)) 2)))) (+ (* (* -1/4 (* (pow (* PI 2) 1/4) (log (* 2 PI)))) (* -1/4 (* (pow (* PI 2) 1/4) (log (* 2 PI))))) (* (* 1/32 (* (pow (* PI 2) 1/4) (pow (log (* 2 PI)) 2))) (pow (* 2 PI) 1/4)))) into (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt PI))) 161.089 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 161.089 * [backup-simplify]: Simplify (- 0) into 0 161.090 * [backup-simplify]: Simplify (+ 0 0) into 0 161.091 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0 161.092 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log n)))) into 0 161.093 * [backup-simplify]: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 161.107 * [backup-simplify]: Simplify (+ (* (pow n 1/2) (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt PI)))) (+ (* (* -1/2 (* (sqrt n) (log n))) (- (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt PI))))) (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (sqrt (* PI 2))))) into (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (* 1/4 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))))) 161.116 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) (sqrt (* n PI))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))) +nan.0) (* (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (* 1/4 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))))) 161.116 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))))) in n 161.116 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))))) in n 161.116 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) in n 161.116 * [taylor]: Taking taylor expansion of +nan.0 in n 161.116 * [backup-simplify]: Simplify +nan.0 into +nan.0 161.116 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI))) in n 161.116 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 PI))) in n 161.116 * [taylor]: Taking taylor expansion of (sqrt 2) in n 161.116 * [taylor]: Taking taylor expansion of 2 in n 161.116 * [backup-simplify]: Simplify 2 into 2 161.116 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 161.117 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 161.117 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 161.117 * [taylor]: Taking taylor expansion of (* 2 PI) in n 161.117 * [taylor]: Taking taylor expansion of 2 in n 161.117 * [backup-simplify]: Simplify 2 into 2 161.117 * [taylor]: Taking taylor expansion of PI in n 161.117 * [backup-simplify]: Simplify PI into PI 161.118 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 161.119 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 161.119 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 161.119 * [taylor]: Taking taylor expansion of (* n PI) in n 161.119 * [taylor]: Taking taylor expansion of n in n 161.119 * [backup-simplify]: Simplify 0 into 0 161.119 * [backup-simplify]: Simplify 1 into 1 161.119 * [taylor]: Taking taylor expansion of PI in n 161.119 * [backup-simplify]: Simplify PI into PI 161.119 * [backup-simplify]: Simplify (* 0 PI) into 0 161.121 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 161.121 * [backup-simplify]: Simplify (sqrt 0) into 0 161.123 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 161.123 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) in n 161.123 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))) in n 161.123 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 161.123 * [taylor]: Taking taylor expansion of +nan.0 in n 161.123 * [backup-simplify]: Simplify +nan.0 into +nan.0 161.123 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 161.123 * [taylor]: Taking taylor expansion of (sqrt 2) in n 161.123 * [taylor]: Taking taylor expansion of 2 in n 161.123 * [backup-simplify]: Simplify 2 into 2 161.123 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 161.124 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 161.124 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 161.124 * [taylor]: Taking taylor expansion of (* n PI) in n 161.124 * [taylor]: Taking taylor expansion of n in n 161.124 * [backup-simplify]: Simplify 0 into 0 161.124 * [backup-simplify]: Simplify 1 into 1 161.124 * [taylor]: Taking taylor expansion of PI in n 161.124 * [backup-simplify]: Simplify PI into PI 161.125 * [backup-simplify]: Simplify (* 0 PI) into 0 161.126 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 161.127 * [backup-simplify]: Simplify (sqrt 0) into 0 161.128 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 161.128 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))) in n 161.128 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) in n 161.128 * [taylor]: Taking taylor expansion of +nan.0 in n 161.128 * [backup-simplify]: Simplify +nan.0 into +nan.0 161.128 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log n)) (sqrt (* n PI))) in n 161.128 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log n)) in n 161.128 * [taylor]: Taking taylor expansion of (sqrt 2) in n 161.128 * [taylor]: Taking taylor expansion of 2 in n 161.128 * [backup-simplify]: Simplify 2 into 2 161.129 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 161.129 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 161.129 * [taylor]: Taking taylor expansion of (log n) in n 161.130 * [taylor]: Taking taylor expansion of n in n 161.130 * [backup-simplify]: Simplify 0 into 0 161.130 * [backup-simplify]: Simplify 1 into 1 161.130 * [backup-simplify]: Simplify (log 1) into 0 161.130 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 161.130 * [taylor]: Taking taylor expansion of (* n PI) in n 161.130 * [taylor]: Taking taylor expansion of n in n 161.130 * [backup-simplify]: Simplify 0 into 0 161.130 * [backup-simplify]: Simplify 1 into 1 161.130 * [taylor]: Taking taylor expansion of PI in n 161.130 * [backup-simplify]: Simplify PI into PI 161.131 * [backup-simplify]: Simplify (* 0 PI) into 0 161.132 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 161.132 * [backup-simplify]: Simplify (sqrt 0) into 0 161.134 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 161.138 * [backup-simplify]: Simplify (* (sqrt 2) (log (* 2 PI))) into (* (sqrt 2) (log (* 2 PI))) 161.139 * [backup-simplify]: Simplify (* (* (sqrt 2) (log (* 2 PI))) 0) into 0 161.140 * [backup-simplify]: Simplify (* +nan.0 0) into 0 161.140 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 161.141 * [backup-simplify]: Simplify (* +nan.0 0) into 0 161.141 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 161.141 * [backup-simplify]: Simplify (* (sqrt 2) (log n)) into (* (sqrt 2) (log n)) 161.142 * [backup-simplify]: Simplify (* (* (sqrt 2) (log n)) 0) into 0 161.142 * [backup-simplify]: Simplify (* +nan.0 0) into 0 161.143 * [backup-simplify]: Simplify (- 0) into 0 161.143 * [backup-simplify]: Simplify (+ 0 0) into 0 161.143 * [backup-simplify]: Simplify (- 0) into 0 161.144 * [backup-simplify]: Simplify (+ 0 0) into 0 161.144 * [backup-simplify]: Simplify (- 0) into 0 161.144 * [backup-simplify]: Simplify 0 into 0 161.147 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 161.152 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 161.156 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 161.158 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 161.158 * [backup-simplify]: Simplify 0 into 0 161.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 161.164 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 161.165 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 161.171 * [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 0 161.171 * [backup-simplify]: Simplify (- 0) into 0 161.172 * [backup-simplify]: Simplify (+ 0 0) into 0 161.173 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))) into 0 161.175 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* -1/4 0) (+ (* 0 0) (* 0 (log (* 2 PI)))))) into 0 161.192 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/4 (log (* 2 PI)))) 3) 6)) (* (/ (pow (- (* 1/4 (log (* 2 PI)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/384 (* (pow (* PI 2) 1/4) (pow (log (* 2 PI)) 3))) 161.234 * [backup-simplify]: Simplify (+ (* (pow (* 2 PI) 1/4) (* -1/384 (* (pow (* PI 2) 1/4) (pow (log (* 2 PI)) 3)))) (+ (* (* -1/4 (* (pow (* PI 2) 1/4) (log (* 2 PI)))) (* 1/32 (* (pow (* PI 2) 1/4) (pow (log (* 2 PI)) 2)))) (+ (* (* 1/32 (* (pow (* PI 2) 1/4) (pow (log (* 2 PI)) 2))) (* -1/4 (* (pow (* PI 2) 1/4) (log (* 2 PI))))) (* (* -1/384 (* (pow (* PI 2) 1/4) (pow (log (* 2 PI)) 3))) (pow (* 2 PI) 1/4))))) into (- (* 1/48 (* (* (sqrt 2) (pow (log (* 2 PI)) 3)) (sqrt PI)))) 161.235 * [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 0 161.236 * [backup-simplify]: Simplify (- 0) into 0 161.236 * [backup-simplify]: Simplify (+ 0 0) into 0 161.237 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))) into 0 161.238 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log n))))) into 0 161.238 * [backup-simplify]: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 3) 6)) (* (/ (pow (- (* 1/2 (log n))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt n) (pow (log n) 3))) 161.253 * [backup-simplify]: Simplify (+ (* (pow n 1/2) (- (* 1/48 (* (* (sqrt 2) (pow (log (* 2 PI)) 3)) (sqrt PI))))) (+ (* (* -1/2 (* (sqrt n) (log n))) (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt PI)))) (+ (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (- (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt PI))))) (* (* -1/48 (* (sqrt n) (pow (log n) 3))) (sqrt (* PI 2)))))) into (- (+ (* 1/48 (* (* (sqrt 2) (pow (log n) 3)) (sqrt (* n PI)))) (+ (* 1/16 (* (* (sqrt 2) (* (log n) (pow (log (* 2 PI)) 2))) (sqrt (* n PI)))) (+ (* 1/16 (* (* (sqrt 2) (* (pow (log n) 2) (log (* 2 PI)))) (sqrt (* n PI)))) (* 1/48 (* (* (sqrt 2) (pow (log (* 2 PI)) 3)) (sqrt (* n PI)))))))) 161.267 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) (sqrt (* n PI))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))) +nan.0) (+ (* (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (* 1/4 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))))) +nan.0) (* (- (+ (* 1/48 (* (* (sqrt 2) (pow (log n) 3)) (sqrt (* n PI)))) (+ (* 1/16 (* (* (sqrt 2) (* (log n) (pow (log (* 2 PI)) 2))) (sqrt (* n PI)))) (+ (* 1/16 (* (* (sqrt 2) (* (pow (log n) 2) (log (* 2 PI)))) (sqrt (* n PI)))) (* 1/48 (* (* (sqrt 2) (pow (log (* 2 PI)) 3)) (sqrt (* n PI)))))))) 0)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI))))))))))))))) 161.268 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI))))))))))))))) in n 161.268 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))))))))))))) in n 161.268 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) in n 161.268 * [taylor]: Taking taylor expansion of +nan.0 in n 161.268 * [backup-simplify]: Simplify +nan.0 into +nan.0 161.268 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI))) in n 161.268 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow (log n) 2)) in n 161.268 * [taylor]: Taking taylor expansion of (sqrt 2) in n 161.268 * [taylor]: Taking taylor expansion of 2 in n 161.268 * [backup-simplify]: Simplify 2 into 2 161.268 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 161.269 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 161.269 * [taylor]: Taking taylor expansion of (pow (log n) 2) in n 161.269 * [taylor]: Taking taylor expansion of (log n) in n 161.269 * [taylor]: Taking taylor expansion of n in n 161.269 * [backup-simplify]: Simplify 0 into 0 161.269 * [backup-simplify]: Simplify 1 into 1 161.269 * [backup-simplify]: Simplify (log 1) into 0 161.270 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 161.270 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 161.270 * [taylor]: Taking taylor expansion of (* n PI) in n 161.270 * [taylor]: Taking taylor expansion of n in n 161.270 * [backup-simplify]: Simplify 0 into 0 161.270 * [backup-simplify]: Simplify 1 into 1 161.270 * [taylor]: Taking taylor expansion of PI in n 161.270 * [backup-simplify]: Simplify PI into PI 161.271 * [backup-simplify]: Simplify (* 0 PI) into 0 161.272 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 161.272 * [backup-simplify]: Simplify (sqrt 0) into 0 161.274 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 161.274 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI))))))))))))) in n 161.274 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))))))))))) in n 161.274 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) in n 161.274 * [taylor]: Taking taylor expansion of +nan.0 in n 161.274 * [backup-simplify]: Simplify +nan.0 into +nan.0 161.274 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log n)) (sqrt (* n PI))) in n 161.274 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log n)) in n 161.274 * [taylor]: Taking taylor expansion of (sqrt 2) in n 161.274 * [taylor]: Taking taylor expansion of 2 in n 161.274 * [backup-simplify]: Simplify 2 into 2 161.275 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 161.275 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 161.275 * [taylor]: Taking taylor expansion of (log n) in n 161.275 * [taylor]: Taking taylor expansion of n in n 161.275 * [backup-simplify]: Simplify 0 into 0 161.275 * [backup-simplify]: Simplify 1 into 1 161.276 * [backup-simplify]: Simplify (log 1) into 0 161.276 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 161.276 * [taylor]: Taking taylor expansion of (* n PI) in n 161.276 * [taylor]: Taking taylor expansion of n in n 161.276 * [backup-simplify]: Simplify 0 into 0 161.276 * [backup-simplify]: Simplify 1 into 1 161.276 * [taylor]: Taking taylor expansion of PI in n 161.276 * [backup-simplify]: Simplify PI into PI 161.276 * [backup-simplify]: Simplify (* 0 PI) into 0 161.278 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 161.278 * [backup-simplify]: Simplify (sqrt 0) into 0 161.280 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 161.280 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI))))))))))) in n 161.280 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))))))))) in n 161.280 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) in n 161.280 * [taylor]: Taking taylor expansion of +nan.0 in n 161.280 * [backup-simplify]: Simplify +nan.0 into +nan.0 161.280 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI))) in n 161.280 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 PI))) in n 161.280 * [taylor]: Taking taylor expansion of (sqrt 2) in n 161.280 * [taylor]: Taking taylor expansion of 2 in n 161.280 * [backup-simplify]: Simplify 2 into 2 161.280 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 161.281 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 161.281 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 161.281 * [taylor]: Taking taylor expansion of (* 2 PI) in n 161.281 * [taylor]: Taking taylor expansion of 2 in n 161.281 * [backup-simplify]: Simplify 2 into 2 161.281 * [taylor]: Taking taylor expansion of PI in n 161.281 * [backup-simplify]: Simplify PI into PI 161.282 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 161.283 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 161.283 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 161.283 * [taylor]: Taking taylor expansion of (* n PI) in n 161.283 * [taylor]: Taking taylor expansion of n in n 161.283 * [backup-simplify]: Simplify 0 into 0 161.283 * [backup-simplify]: Simplify 1 into 1 161.283 * [taylor]: Taking taylor expansion of PI in n 161.283 * [backup-simplify]: Simplify PI into PI 161.283 * [backup-simplify]: Simplify (* 0 PI) into 0 161.285 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 161.285 * [backup-simplify]: Simplify (sqrt 0) into 0 161.287 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 161.287 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI))))))))) in n 161.287 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))))))) in n 161.287 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) in n 161.287 * [taylor]: Taking taylor expansion of +nan.0 in n 161.287 * [backup-simplify]: Simplify +nan.0 into +nan.0 161.287 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI))) in n 161.287 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 PI)) 2)) in n 161.287 * [taylor]: Taking taylor expansion of (sqrt 2) in n 161.287 * [taylor]: Taking taylor expansion of 2 in n 161.287 * [backup-simplify]: Simplify 2 into 2 161.287 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 161.288 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 161.288 * [taylor]: Taking taylor expansion of (pow (log (* 2 PI)) 2) in n 161.288 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 161.288 * [taylor]: Taking taylor expansion of (* 2 PI) in n 161.288 * [taylor]: Taking taylor expansion of 2 in n 161.288 * [backup-simplify]: Simplify 2 into 2 161.288 * [taylor]: Taking taylor expansion of PI in n 161.288 * [backup-simplify]: Simplify PI into PI 161.289 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 161.290 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 161.290 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 161.290 * [taylor]: Taking taylor expansion of (* n PI) in n 161.290 * [taylor]: Taking taylor expansion of n in n 161.290 * [backup-simplify]: Simplify 0 into 0 161.290 * [backup-simplify]: Simplify 1 into 1 161.290 * [taylor]: Taking taylor expansion of PI in n 161.290 * [backup-simplify]: Simplify PI into PI 161.290 * [backup-simplify]: Simplify (* 0 PI) into 0 161.292 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 161.292 * [backup-simplify]: Simplify (sqrt 0) into 0 161.294 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 161.294 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI))))))) in n 161.294 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))))) in n 161.294 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 161.294 * [taylor]: Taking taylor expansion of +nan.0 in n 161.294 * [backup-simplify]: Simplify +nan.0 into +nan.0 161.294 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 161.294 * [taylor]: Taking taylor expansion of (sqrt 2) in n 161.294 * [taylor]: Taking taylor expansion of 2 in n 161.294 * [backup-simplify]: Simplify 2 into 2 161.295 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 161.295 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 161.295 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 161.295 * [taylor]: Taking taylor expansion of (* n PI) in n 161.295 * [taylor]: Taking taylor expansion of n in n 161.295 * [backup-simplify]: Simplify 0 into 0 161.295 * [backup-simplify]: Simplify 1 into 1 161.295 * [taylor]: Taking taylor expansion of PI in n 161.295 * [backup-simplify]: Simplify PI into PI 161.296 * [backup-simplify]: Simplify (* 0 PI) into 0 161.297 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 161.298 * [backup-simplify]: Simplify (sqrt 0) into 0 161.299 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 161.299 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI))))) in n 161.299 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))) in n 161.299 * [taylor]: Taking taylor expansion of +nan.0 in n 161.299 * [backup-simplify]: Simplify +nan.0 into +nan.0 161.299 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI))) in n 161.299 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (log n) (log (* 2 PI)))) in n 161.299 * [taylor]: Taking taylor expansion of (sqrt 2) in n 161.299 * [taylor]: Taking taylor expansion of 2 in n 161.300 * [backup-simplify]: Simplify 2 into 2 161.300 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 161.301 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 161.301 * [taylor]: Taking taylor expansion of (* (log n) (log (* 2 PI))) in n 161.301 * [taylor]: Taking taylor expansion of (log n) in n 161.301 * [taylor]: Taking taylor expansion of n in n 161.301 * [backup-simplify]: Simplify 0 into 0 161.301 * [backup-simplify]: Simplify 1 into 1 161.301 * [backup-simplify]: Simplify (log 1) into 0 161.301 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 161.301 * [taylor]: Taking taylor expansion of (* 2 PI) in n 161.301 * [taylor]: Taking taylor expansion of 2 in n 161.301 * [backup-simplify]: Simplify 2 into 2 161.301 * [taylor]: Taking taylor expansion of PI in n 161.301 * [backup-simplify]: Simplify PI into PI 161.302 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 161.303 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 161.303 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 161.303 * [taylor]: Taking taylor expansion of (* n PI) in n 161.303 * [taylor]: Taking taylor expansion of n in n 161.303 * [backup-simplify]: Simplify 0 into 0 161.303 * [backup-simplify]: Simplify 1 into 1 161.303 * [taylor]: Taking taylor expansion of PI in n 161.303 * [backup-simplify]: Simplify PI into PI 161.304 * [backup-simplify]: Simplify (* 0 PI) into 0 161.305 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 161.306 * [backup-simplify]: Simplify (sqrt 0) into 0 161.307 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 161.308 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 161.308 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 161.308 * [backup-simplify]: Simplify (* (log n) (log n)) into (pow (log n) 2) 161.309 * [backup-simplify]: Simplify (* (sqrt 2) (pow (log n) 2)) into (* (sqrt 2) (pow (log n) 2)) 161.309 * [backup-simplify]: Simplify (* (* (sqrt 2) (pow (log n) 2)) 0) into 0 161.309 * [backup-simplify]: Simplify (* +nan.0 0) into 0 161.310 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 161.310 * [backup-simplify]: Simplify (* (sqrt 2) (log n)) into (* (sqrt 2) (log n)) 161.311 * [backup-simplify]: Simplify (* (* (sqrt 2) (log n)) 0) into 0 161.311 * [backup-simplify]: Simplify (* +nan.0 0) into 0 161.313 * [backup-simplify]: Simplify (* (sqrt 2) (log (* 2 PI))) into (* (sqrt 2) (log (* 2 PI))) 161.314 * [backup-simplify]: Simplify (* (* (sqrt 2) (log (* 2 PI))) 0) into 0 161.315 * [backup-simplify]: Simplify (* +nan.0 0) into 0 161.317 * [backup-simplify]: Simplify (* (log (* 2 PI)) (log (* 2 PI))) into (pow (log (* 2 PI)) 2) 161.319 * [backup-simplify]: Simplify (* (sqrt 2) (pow (log (* 2 PI)) 2)) into (* (sqrt 2) (pow (log (* 2 PI)) 2)) 161.319 * [backup-simplify]: Simplify (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) 0) into 0 161.320 * [backup-simplify]: Simplify (* +nan.0 0) into 0 161.320 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 161.320 * [backup-simplify]: Simplify (* +nan.0 0) into 0 161.321 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 161.321 * [backup-simplify]: Simplify (* (log n) (log (* 2 PI))) into (* (log n) (log (* 2 PI))) 161.322 * [backup-simplify]: Simplify (* (sqrt 2) (* (log n) (log (* 2 PI)))) into (* (sqrt 2) (* (log n) (log (* 2 PI)))) 161.323 * [backup-simplify]: Simplify (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) 0) into 0 161.323 * [backup-simplify]: Simplify (* +nan.0 0) into 0 161.323 * [backup-simplify]: Simplify (- 0) into 0 161.324 * [backup-simplify]: Simplify (+ 0 0) into 0 161.324 * [backup-simplify]: Simplify (- 0) into 0 161.324 * [backup-simplify]: Simplify (+ 0 0) into 0 161.324 * [backup-simplify]: Simplify (- 0) into 0 161.325 * [backup-simplify]: Simplify (+ 0 0) into 0 161.325 * [backup-simplify]: Simplify (- 0) into 0 161.325 * [backup-simplify]: Simplify (+ 0 0) into 0 161.325 * [backup-simplify]: Simplify (- 0) into 0 161.326 * [backup-simplify]: Simplify (+ 0 0) into 0 161.326 * [backup-simplify]: Simplify (- 0) into 0 161.326 * [backup-simplify]: Simplify 0 into 0 161.326 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 161.327 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 161.328 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (log (* 2 PI)))) into 0 161.331 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) (log (* 2 PI))) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))) 161.337 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))) 161.338 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 161.341 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 161.342 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 161.342 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 161.343 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (log n))) into 0 161.344 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) (log n)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI (log n))))) 161.344 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* PI (log n)))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI (log n))))) 161.345 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) (* PI (log n)))))) into (- (* +nan.0 (* (sqrt 2) (* PI (log n))))) 161.348 * [backup-simplify]: Simplify (+ (- (* +nan.0 (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) (* PI (log n)))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))) 161.352 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI)))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))) 161.361 * [backup-simplify]: Simplify (+ (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI)))))) into (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))))) 161.371 * [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))))))) 161.379 * [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))))))) 161.380 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 161.385 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 161.386 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 161.391 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 161.399 * [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)))) 161.404 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 161.407 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 161.420 * [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))))))))))))) 161.422 * [backup-simplify]: Simplify (* (* (/ 1 (sqrt (/ 1 k))) (pow (* 2 PI) (/ (/ (- 1 (/ 1 k)) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 (/ 1 k)) 2) 2)) (pow (/ 1 n) (/ (- 1 (/ 1 k)) 2)))) into (* (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) 2)) (sqrt k)) 161.422 * [approximate]: Taking taylor expansion of (* (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) 2)) (sqrt k)) in (k n) around 0 161.422 * [taylor]: Taking taylor expansion of (* (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) 2)) (sqrt k)) in n 161.422 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) 2)) in n 161.422 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in n 161.422 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in n 161.422 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in n 161.422 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 161.422 * [taylor]: Taking taylor expansion of 1/2 in n 161.422 * [backup-simplify]: Simplify 1/2 into 1/2 161.422 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 161.422 * [taylor]: Taking taylor expansion of 1 in n 161.422 * [backup-simplify]: Simplify 1 into 1 161.422 * [taylor]: Taking taylor expansion of (/ 1 k) in n 161.422 * [taylor]: Taking taylor expansion of k in n 161.422 * [backup-simplify]: Simplify k into k 161.422 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 161.422 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 161.422 * [taylor]: Taking taylor expansion of (/ 1 n) in n 161.422 * [taylor]: Taking taylor expansion of n in n 161.422 * [backup-simplify]: Simplify 0 into 0 161.423 * [backup-simplify]: Simplify 1 into 1 161.423 * [backup-simplify]: Simplify (/ 1 1) into 1 161.423 * [backup-simplify]: Simplify (log 1) into 0 161.423 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 161.423 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 161.423 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 161.424 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 161.424 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log n))) into (* -1/2 (* (- 1 (/ 1 k)) (log n))) 161.424 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 161.424 * [taylor]: Taking taylor expansion of (pow (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) 2) in n 161.424 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) in n 161.424 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 PI)))) in n 161.424 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 PI))) in n 161.424 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n 161.424 * [taylor]: Taking taylor expansion of 1/4 in n 161.424 * [backup-simplify]: Simplify 1/4 into 1/4 161.424 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 161.424 * [taylor]: Taking taylor expansion of 1 in n 161.424 * [backup-simplify]: Simplify 1 into 1 161.425 * [taylor]: Taking taylor expansion of (/ 1 k) in n 161.425 * [taylor]: Taking taylor expansion of k in n 161.425 * [backup-simplify]: Simplify k into k 161.425 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 161.425 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 161.425 * [taylor]: Taking taylor expansion of (* 2 PI) in n 161.425 * [taylor]: Taking taylor expansion of 2 in n 161.425 * [backup-simplify]: Simplify 2 into 2 161.425 * [taylor]: Taking taylor expansion of PI in n 161.425 * [backup-simplify]: Simplify PI into PI 161.425 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 161.426 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 161.426 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 161.426 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 161.426 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k))) 161.427 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 PI))) into (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI)))) 161.428 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 161.428 * [taylor]: Taking taylor expansion of (sqrt k) in n 161.428 * [taylor]: Taking taylor expansion of k in n 161.428 * [backup-simplify]: Simplify k into k 161.428 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 161.429 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 161.429 * [taylor]: Taking taylor expansion of (* (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) 2)) (sqrt k)) in k 161.429 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) 2)) in k 161.429 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in k 161.429 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in k 161.429 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in k 161.429 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 161.429 * [taylor]: Taking taylor expansion of 1/2 in k 161.429 * [backup-simplify]: Simplify 1/2 into 1/2 161.429 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 161.429 * [taylor]: Taking taylor expansion of 1 in k 161.429 * [backup-simplify]: Simplify 1 into 1 161.429 * [taylor]: Taking taylor expansion of (/ 1 k) in k 161.429 * [taylor]: Taking taylor expansion of k in k 161.429 * [backup-simplify]: Simplify 0 into 0 161.429 * [backup-simplify]: Simplify 1 into 1 161.429 * [backup-simplify]: Simplify (/ 1 1) into 1 161.429 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 161.429 * [taylor]: Taking taylor expansion of (/ 1 n) in k 161.429 * [taylor]: Taking taylor expansion of n in k 161.429 * [backup-simplify]: Simplify n into n 161.429 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 161.430 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 161.430 * [backup-simplify]: Simplify (- 1) into -1 161.430 * [backup-simplify]: Simplify (+ 0 -1) into -1 161.431 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 161.431 * [backup-simplify]: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 161.431 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) 161.431 * [taylor]: Taking taylor expansion of (pow (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) 2) in k 161.431 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) in k 161.431 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 PI)))) in k 161.431 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 PI))) in k 161.431 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in k 161.431 * [taylor]: Taking taylor expansion of 1/4 in k 161.431 * [backup-simplify]: Simplify 1/4 into 1/4 161.431 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 161.431 * [taylor]: Taking taylor expansion of 1 in k 161.431 * [backup-simplify]: Simplify 1 into 1 161.431 * [taylor]: Taking taylor expansion of (/ 1 k) in k 161.431 * [taylor]: Taking taylor expansion of k in k 161.431 * [backup-simplify]: Simplify 0 into 0 161.431 * [backup-simplify]: Simplify 1 into 1 161.432 * [backup-simplify]: Simplify (/ 1 1) into 1 161.432 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 161.432 * [taylor]: Taking taylor expansion of (* 2 PI) in k 161.432 * [taylor]: Taking taylor expansion of 2 in k 161.432 * [backup-simplify]: Simplify 2 into 2 161.432 * [taylor]: Taking taylor expansion of PI in k 161.432 * [backup-simplify]: Simplify PI into PI 161.432 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 161.433 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 161.434 * [backup-simplify]: Simplify (- 1) into -1 161.434 * [backup-simplify]: Simplify (+ 0 -1) into -1 161.435 * [backup-simplify]: Simplify (* 1/4 -1) into -1/4 161.436 * [backup-simplify]: Simplify (* -1/4 (log (* 2 PI))) into (* -1/4 (log (* 2 PI))) 161.437 * [backup-simplify]: Simplify (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 PI)))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 161.437 * [taylor]: Taking taylor expansion of (sqrt k) in k 161.437 * [taylor]: Taking taylor expansion of k in k 161.437 * [backup-simplify]: Simplify 0 into 0 161.437 * [backup-simplify]: Simplify 1 into 1 161.438 * [backup-simplify]: Simplify (sqrt 0) into 0 161.439 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 161.439 * [taylor]: Taking taylor expansion of (* (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) 2)) (sqrt k)) in k 161.439 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) 2)) in k 161.439 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in k 161.439 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in k 161.439 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in k 161.439 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 161.439 * [taylor]: Taking taylor expansion of 1/2 in k 161.439 * [backup-simplify]: Simplify 1/2 into 1/2 161.439 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 161.439 * [taylor]: Taking taylor expansion of 1 in k 161.440 * [backup-simplify]: Simplify 1 into 1 161.440 * [taylor]: Taking taylor expansion of (/ 1 k) in k 161.440 * [taylor]: Taking taylor expansion of k in k 161.440 * [backup-simplify]: Simplify 0 into 0 161.440 * [backup-simplify]: Simplify 1 into 1 161.440 * [backup-simplify]: Simplify (/ 1 1) into 1 161.440 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 161.440 * [taylor]: Taking taylor expansion of (/ 1 n) in k 161.440 * [taylor]: Taking taylor expansion of n in k 161.440 * [backup-simplify]: Simplify n into n 161.440 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 161.440 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 161.441 * [backup-simplify]: Simplify (- 1) into -1 161.441 * [backup-simplify]: Simplify (+ 0 -1) into -1 161.441 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 161.442 * [backup-simplify]: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 161.442 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) 161.442 * [taylor]: Taking taylor expansion of (pow (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) 2) in k 161.442 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) in k 161.442 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 PI)))) in k 161.442 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 PI))) in k 161.442 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in k 161.442 * [taylor]: Taking taylor expansion of 1/4 in k 161.442 * [backup-simplify]: Simplify 1/4 into 1/4 161.442 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 161.442 * [taylor]: Taking taylor expansion of 1 in k 161.442 * [backup-simplify]: Simplify 1 into 1 161.442 * [taylor]: Taking taylor expansion of (/ 1 k) in k 161.442 * [taylor]: Taking taylor expansion of k in k 161.442 * [backup-simplify]: Simplify 0 into 0 161.442 * [backup-simplify]: Simplify 1 into 1 161.442 * [backup-simplify]: Simplify (/ 1 1) into 1 161.442 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 161.442 * [taylor]: Taking taylor expansion of (* 2 PI) in k 161.443 * [taylor]: Taking taylor expansion of 2 in k 161.443 * [backup-simplify]: Simplify 2 into 2 161.443 * [taylor]: Taking taylor expansion of PI in k 161.443 * [backup-simplify]: Simplify PI into PI 161.443 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 161.444 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 161.444 * [backup-simplify]: Simplify (- 1) into -1 161.445 * [backup-simplify]: Simplify (+ 0 -1) into -1 161.445 * [backup-simplify]: Simplify (* 1/4 -1) into -1/4 161.447 * [backup-simplify]: Simplify (* -1/4 (log (* 2 PI))) into (* -1/4 (log (* 2 PI))) 161.448 * [backup-simplify]: Simplify (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 PI)))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 161.448 * [taylor]: Taking taylor expansion of (sqrt k) in k 161.448 * [taylor]: Taking taylor expansion of k in k 161.448 * [backup-simplify]: Simplify 0 into 0 161.448 * [backup-simplify]: Simplify 1 into 1 161.449 * [backup-simplify]: Simplify (sqrt 0) into 0 161.450 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 161.452 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) into (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) 161.453 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2)) into (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2)) 161.455 * [backup-simplify]: Simplify (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2)) 0) into 0 161.455 * [taylor]: Taking taylor expansion of 0 in n 161.455 * [backup-simplify]: Simplify 0 into 0 161.455 * [backup-simplify]: Simplify 0 into 0 161.457 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 0) (* 0 (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) into 0 161.459 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) 0) (* 0 (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2))) into 0 161.460 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2)) +nan.0) (* 0 0)) into (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2)))) 161.460 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2)))) in n 161.460 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2))) in n 161.460 * [taylor]: Taking taylor expansion of +nan.0 in n 161.461 * [backup-simplify]: Simplify +nan.0 into +nan.0 161.461 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2)) in n 161.461 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) in n 161.461 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n)))) in n 161.461 * [taylor]: Taking taylor expansion of 1/2 in n 161.461 * [backup-simplify]: Simplify 1/2 into 1/2 161.461 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (/ 1 n))) in n 161.461 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 161.461 * [taylor]: Taking taylor expansion of 1 in n 161.461 * [backup-simplify]: Simplify 1 into 1 161.461 * [taylor]: Taking taylor expansion of (/ 1 k) in n 161.461 * [taylor]: Taking taylor expansion of k in n 161.461 * [backup-simplify]: Simplify k into k 161.461 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 161.461 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 161.461 * [taylor]: Taking taylor expansion of (/ 1 n) in n 161.461 * [taylor]: Taking taylor expansion of n in n 161.461 * [backup-simplify]: Simplify 0 into 0 161.461 * [backup-simplify]: Simplify 1 into 1 161.461 * [backup-simplify]: Simplify (/ 1 1) into 1 161.462 * [backup-simplify]: Simplify (log 1) into 0 161.462 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 161.462 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 161.462 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 161.463 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log n))) into (* -1 (* (- 1 (/ 1 k)) (log n))) 161.463 * [backup-simplify]: Simplify (* 1/2 (* -1 (* (- 1 (/ 1 k)) (log n)))) into (* -1/2 (* (- 1 (/ 1 k)) (log n))) 161.463 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 161.463 * [taylor]: Taking taylor expansion of (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) in n 161.463 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) in n 161.463 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI)))) in n 161.463 * [taylor]: Taking taylor expansion of 1/4 in n 161.463 * [backup-simplify]: Simplify 1/4 into 1/4 161.463 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 PI))) in n 161.463 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 161.463 * [taylor]: Taking taylor expansion of 1 in n 161.463 * [backup-simplify]: Simplify 1 into 1 161.463 * [taylor]: Taking taylor expansion of (/ 1 k) in n 161.463 * [taylor]: Taking taylor expansion of k in n 161.463 * [backup-simplify]: Simplify k into k 161.463 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 161.463 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 161.463 * [taylor]: Taking taylor expansion of (* 2 PI) in n 161.463 * [taylor]: Taking taylor expansion of 2 in n 161.463 * [backup-simplify]: Simplify 2 into 2 161.463 * [taylor]: Taking taylor expansion of PI in n 161.463 * [backup-simplify]: Simplify PI into PI 161.464 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 161.465 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 161.465 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 161.465 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 161.467 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (log (* 2 PI))) into (* (- 1 (/ 1 k)) (log (* 2 PI))) 161.468 * [backup-simplify]: Simplify (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI)))) into (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI)))) 161.469 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 161.471 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) into (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) 161.472 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2)) into (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))) 161.474 * [backup-simplify]: Simplify (* +nan.0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))))) into (* +nan.0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))))) 161.475 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))))) into (- (* +nan.0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))))) 161.477 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))))) into (- (* +nan.0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))))) 161.477 * [backup-simplify]: Simplify 0 into 0 161.480 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 161.483 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 0) (+ (* 0 0) (* 0 (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) into 0 161.484 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) 0) (+ (* 0 0) (* 0 (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2)))) into 0 161.486 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2)))) 161.487 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2)))) in n 161.487 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2))) in n 161.487 * [taylor]: Taking taylor expansion of +nan.0 in n 161.487 * [backup-simplify]: Simplify +nan.0 into +nan.0 161.487 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2)) in n 161.487 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) in n 161.487 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n)))) in n 161.487 * [taylor]: Taking taylor expansion of 1/2 in n 161.487 * [backup-simplify]: Simplify 1/2 into 1/2 161.487 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (/ 1 n))) in n 161.487 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 161.487 * [taylor]: Taking taylor expansion of 1 in n 161.487 * [backup-simplify]: Simplify 1 into 1 161.487 * [taylor]: Taking taylor expansion of (/ 1 k) in n 161.487 * [taylor]: Taking taylor expansion of k in n 161.487 * [backup-simplify]: Simplify k into k 161.487 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 161.487 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 161.487 * [taylor]: Taking taylor expansion of (/ 1 n) in n 161.487 * [taylor]: Taking taylor expansion of n in n 161.487 * [backup-simplify]: Simplify 0 into 0 161.487 * [backup-simplify]: Simplify 1 into 1 161.488 * [backup-simplify]: Simplify (/ 1 1) into 1 161.488 * [backup-simplify]: Simplify (log 1) into 0 161.488 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 161.488 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 161.489 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 161.489 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log n))) into (* -1 (* (- 1 (/ 1 k)) (log n))) 161.489 * [backup-simplify]: Simplify (* 1/2 (* -1 (* (- 1 (/ 1 k)) (log n)))) into (* -1/2 (* (- 1 (/ 1 k)) (log n))) 161.489 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 161.489 * [taylor]: Taking taylor expansion of (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) in n 161.489 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) in n 161.489 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI)))) in n 161.489 * [taylor]: Taking taylor expansion of 1/4 in n 161.489 * [backup-simplify]: Simplify 1/4 into 1/4 161.489 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 PI))) in n 161.489 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 161.489 * [taylor]: Taking taylor expansion of 1 in n 161.489 * [backup-simplify]: Simplify 1 into 1 161.489 * [taylor]: Taking taylor expansion of (/ 1 k) in n 161.489 * [taylor]: Taking taylor expansion of k in n 161.489 * [backup-simplify]: Simplify k into k 161.490 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 161.490 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 161.490 * [taylor]: Taking taylor expansion of (* 2 PI) in n 161.490 * [taylor]: Taking taylor expansion of 2 in n 161.490 * [backup-simplify]: Simplify 2 into 2 161.490 * [taylor]: Taking taylor expansion of PI in n 161.490 * [backup-simplify]: Simplify PI into PI 161.490 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 161.491 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 161.491 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 161.491 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 161.492 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (log (* 2 PI))) into (* (- 1 (/ 1 k)) (log (* 2 PI))) 161.493 * [backup-simplify]: Simplify (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI)))) into (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI)))) 161.495 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 161.497 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) into (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) 161.498 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2)) into (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))) 161.500 * [backup-simplify]: Simplify (* +nan.0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))))) into (* +nan.0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))))) 161.501 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))))) into (- (* +nan.0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))))) 161.502 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))))) into (- (* +nan.0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))))) 161.503 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 161.505 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 161.505 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 161.506 * [backup-simplify]: Simplify (- 0) into 0 161.506 * [backup-simplify]: Simplify (+ 0 0) into 0 161.507 * [backup-simplify]: Simplify (+ (* (- 1 (/ 1 k)) 0) (* 0 (log (* 2 PI)))) into 0 161.511 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (* (- 1 (/ 1 k)) (log (* 2 PI))))) into 0 161.513 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 161.516 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 0) (* 0 (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) into 0 161.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 161.519 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 161.519 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 161.519 * [backup-simplify]: Simplify (- 0) into 0 161.520 * [backup-simplify]: Simplify (+ 0 0) into 0 161.520 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 161.520 * [backup-simplify]: Simplify (+ (* (- 1 (/ 1 k)) 0) (* 0 (- (log n)))) into 0 161.521 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* -1 (* (- 1 (/ 1 k)) (log n))))) into 0 161.522 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 161.523 * [backup-simplify]: Simplify (+ (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 0) (* 0 (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2))) into 0 161.525 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))))) into 0 161.526 * [backup-simplify]: Simplify (- 0) into 0 161.526 * [backup-simplify]: Simplify 0 into 0 161.526 * [backup-simplify]: Simplify 0 into 0 161.530 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 161.533 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))))))) into 0 161.535 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2))))) into 0 161.537 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2)) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2)))) 161.537 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2)))) in n 161.537 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2))) in n 161.537 * [taylor]: Taking taylor expansion of +nan.0 in n 161.537 * [backup-simplify]: Simplify +nan.0 into +nan.0 161.537 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2)) in n 161.537 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) in n 161.537 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n)))) in n 161.537 * [taylor]: Taking taylor expansion of 1/2 in n 161.537 * [backup-simplify]: Simplify 1/2 into 1/2 161.537 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (/ 1 n))) in n 161.537 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 161.537 * [taylor]: Taking taylor expansion of 1 in n 161.537 * [backup-simplify]: Simplify 1 into 1 161.537 * [taylor]: Taking taylor expansion of (/ 1 k) in n 161.538 * [taylor]: Taking taylor expansion of k in n 161.538 * [backup-simplify]: Simplify k into k 161.538 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 161.538 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 161.538 * [taylor]: Taking taylor expansion of (/ 1 n) in n 161.538 * [taylor]: Taking taylor expansion of n in n 161.538 * [backup-simplify]: Simplify 0 into 0 161.538 * [backup-simplify]: Simplify 1 into 1 161.538 * [backup-simplify]: Simplify (/ 1 1) into 1 161.538 * [backup-simplify]: Simplify (log 1) into 0 161.539 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 161.539 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 161.539 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 161.539 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log n))) into (* -1 (* (- 1 (/ 1 k)) (log n))) 161.539 * [backup-simplify]: Simplify (* 1/2 (* -1 (* (- 1 (/ 1 k)) (log n)))) into (* -1/2 (* (- 1 (/ 1 k)) (log n))) 161.539 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 161.540 * [taylor]: Taking taylor expansion of (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) in n 161.540 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) in n 161.540 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI)))) in n 161.540 * [taylor]: Taking taylor expansion of 1/4 in n 161.540 * [backup-simplify]: Simplify 1/4 into 1/4 161.540 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 PI))) in n 161.540 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 161.540 * [taylor]: Taking taylor expansion of 1 in n 161.540 * [backup-simplify]: Simplify 1 into 1 161.540 * [taylor]: Taking taylor expansion of (/ 1 k) in n 161.540 * [taylor]: Taking taylor expansion of k in n 161.540 * [backup-simplify]: Simplify k into k 161.540 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 161.540 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 161.540 * [taylor]: Taking taylor expansion of (* 2 PI) in n 161.540 * [taylor]: Taking taylor expansion of 2 in n 161.540 * [backup-simplify]: Simplify 2 into 2 161.540 * [taylor]: Taking taylor expansion of PI in n 161.540 * [backup-simplify]: Simplify PI into PI 161.540 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 161.541 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 161.542 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 161.542 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 161.543 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (log (* 2 PI))) into (* (- 1 (/ 1 k)) (log (* 2 PI))) 161.544 * [backup-simplify]: Simplify (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI)))) into (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI)))) 161.545 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 161.547 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) into (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) 161.548 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2)) into (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))) 161.549 * [backup-simplify]: Simplify (* +nan.0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))))) into (* +nan.0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))))) 161.550 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))))) into (- (* +nan.0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))))) 161.552 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))))) into (- (* +nan.0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))))) 161.557 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 (/ 1 k))) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 (/ 1 k))) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 (/ 1 k))) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 (/ 1 k))) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 (/ 1 k))) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 (/ 1 k))) (log (/ 1 n)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) 2)) k)) (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) 2)) (pow k 2))) (- (* +nan.0 (/ (* (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) 2)) (pow k 3)))))))) 161.559 * [backup-simplify]: Simplify (* (* (/ 1 (sqrt (/ 1 (- k)))) (pow (* 2 PI) (/ (/ (- 1 (/ 1 (- k))) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 (/ 1 (- k))) 2) 2)) (pow (/ 1 (- n)) (/ (- 1 (/ 1 (- k))) 2)))) into (/ (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (pow (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) 2)) (sqrt (/ -1 k))) 161.559 * [approximate]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (pow (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) 2)) (sqrt (/ -1 k))) in (k n) around 0 161.559 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (pow (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) 2)) (sqrt (/ -1 k))) in n 161.559 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (pow (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) 2)) in n 161.559 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in n 161.559 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in n 161.559 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in n 161.559 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 161.559 * [taylor]: Taking taylor expansion of 1/2 in n 161.559 * [backup-simplify]: Simplify 1/2 into 1/2 161.559 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 161.559 * [taylor]: Taking taylor expansion of (/ 1 k) in n 161.559 * [taylor]: Taking taylor expansion of k in n 161.559 * [backup-simplify]: Simplify k into k 161.559 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 161.559 * [taylor]: Taking taylor expansion of 1 in n 161.559 * [backup-simplify]: Simplify 1 into 1 161.559 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 161.559 * [taylor]: Taking taylor expansion of (/ -1 n) in n 161.559 * [taylor]: Taking taylor expansion of -1 in n 161.559 * [backup-simplify]: Simplify -1 into -1 161.559 * [taylor]: Taking taylor expansion of n in n 161.559 * [backup-simplify]: Simplify 0 into 0 161.559 * [backup-simplify]: Simplify 1 into 1 161.560 * [backup-simplify]: Simplify (/ -1 1) into -1 161.560 * [backup-simplify]: Simplify (log -1) into (log -1) 161.560 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 161.560 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 161.561 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 161.562 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log -1) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) 161.562 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 161.562 * [taylor]: Taking taylor expansion of (pow (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) 2) in n 161.562 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) in n 161.562 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* 2 PI)))) in n 161.562 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* 2 PI))) in n 161.562 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n 161.562 * [taylor]: Taking taylor expansion of 1/4 in n 161.562 * [backup-simplify]: Simplify 1/4 into 1/4 161.562 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 161.562 * [taylor]: Taking taylor expansion of (/ 1 k) in n 161.562 * [taylor]: Taking taylor expansion of k in n 161.562 * [backup-simplify]: Simplify k into k 161.562 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 161.562 * [taylor]: Taking taylor expansion of 1 in n 161.562 * [backup-simplify]: Simplify 1 into 1 161.562 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 161.563 * [taylor]: Taking taylor expansion of (* 2 PI) in n 161.563 * [taylor]: Taking taylor expansion of 2 in n 161.563 * [backup-simplify]: Simplify 2 into 2 161.563 * [taylor]: Taking taylor expansion of PI in n 161.563 * [backup-simplify]: Simplify PI into PI 161.563 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 161.564 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 161.564 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 161.564 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1)) 161.565 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (log (* 2 PI))) into (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))) 161.566 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 161.566 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 161.566 * [taylor]: Taking taylor expansion of (/ -1 k) in n 161.566 * [taylor]: Taking taylor expansion of -1 in n 161.566 * [backup-simplify]: Simplify -1 into -1 161.567 * [taylor]: Taking taylor expansion of k in n 161.567 * [backup-simplify]: Simplify k into k 161.567 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 161.567 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 161.567 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 161.567 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 161.569 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) into (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) 161.571 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2)) into (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) 161.572 * [backup-simplify]: Simplify (/ (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) (sqrt (/ -1 k))) into (/ (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) (sqrt (/ -1 k))) 161.572 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (pow (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) 2)) (sqrt (/ -1 k))) in k 161.573 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (pow (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) 2)) in k 161.573 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in k 161.573 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in k 161.573 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in k 161.573 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 161.573 * [taylor]: Taking taylor expansion of 1/2 in k 161.573 * [backup-simplify]: Simplify 1/2 into 1/2 161.573 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 161.573 * [taylor]: Taking taylor expansion of (/ 1 k) in k 161.573 * [taylor]: Taking taylor expansion of k in k 161.573 * [backup-simplify]: Simplify 0 into 0 161.573 * [backup-simplify]: Simplify 1 into 1 161.573 * [backup-simplify]: Simplify (/ 1 1) into 1 161.573 * [taylor]: Taking taylor expansion of 1 in k 161.573 * [backup-simplify]: Simplify 1 into 1 161.573 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 161.573 * [taylor]: Taking taylor expansion of (/ -1 n) in k 161.573 * [taylor]: Taking taylor expansion of -1 in k 161.573 * [backup-simplify]: Simplify -1 into -1 161.573 * [taylor]: Taking taylor expansion of n in k 161.573 * [backup-simplify]: Simplify n into n 161.573 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 161.574 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 161.574 * [backup-simplify]: Simplify (+ 1 0) into 1 161.575 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 161.575 * [backup-simplify]: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 161.575 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) 161.575 * [taylor]: Taking taylor expansion of (pow (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) 2) in k 161.575 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) in k 161.575 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* 2 PI)))) in k 161.575 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* 2 PI))) in k 161.575 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in k 161.575 * [taylor]: Taking taylor expansion of 1/4 in k 161.575 * [backup-simplify]: Simplify 1/4 into 1/4 161.575 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 161.575 * [taylor]: Taking taylor expansion of (/ 1 k) in k 161.575 * [taylor]: Taking taylor expansion of k in k 161.575 * [backup-simplify]: Simplify 0 into 0 161.575 * [backup-simplify]: Simplify 1 into 1 161.576 * [backup-simplify]: Simplify (/ 1 1) into 1 161.576 * [taylor]: Taking taylor expansion of 1 in k 161.576 * [backup-simplify]: Simplify 1 into 1 161.576 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 161.576 * [taylor]: Taking taylor expansion of (* 2 PI) in k 161.576 * [taylor]: Taking taylor expansion of 2 in k 161.576 * [backup-simplify]: Simplify 2 into 2 161.576 * [taylor]: Taking taylor expansion of PI in k 161.576 * [backup-simplify]: Simplify PI into PI 161.576 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 161.577 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 161.578 * [backup-simplify]: Simplify (+ 1 0) into 1 161.578 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 161.580 * [backup-simplify]: Simplify (* 1/4 (log (* 2 PI))) into (* 1/4 (log (* 2 PI))) 161.581 * [backup-simplify]: Simplify (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* 2 PI)))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 161.581 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 161.581 * [taylor]: Taking taylor expansion of (/ -1 k) in k 161.581 * [taylor]: Taking taylor expansion of -1 in k 161.581 * [backup-simplify]: Simplify -1 into -1 161.581 * [taylor]: Taking taylor expansion of k in k 161.581 * [backup-simplify]: Simplify 0 into 0 161.581 * [backup-simplify]: Simplify 1 into 1 161.582 * [backup-simplify]: Simplify (/ -1 1) into -1 161.582 * [backup-simplify]: Simplify (sqrt 0) into 0 161.583 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 161.586 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) into (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) 161.587 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2)) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2)) 161.588 * [backup-simplify]: Simplify (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2)) +nan.0) into (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2))) 161.588 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (pow (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) 2)) (sqrt (/ -1 k))) in k 161.588 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (pow (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) 2)) in k 161.588 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in k 161.588 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in k 161.588 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in k 161.588 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 161.588 * [taylor]: Taking taylor expansion of 1/2 in k 161.588 * [backup-simplify]: Simplify 1/2 into 1/2 161.588 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 161.588 * [taylor]: Taking taylor expansion of (/ 1 k) in k 161.588 * [taylor]: Taking taylor expansion of k in k 161.588 * [backup-simplify]: Simplify 0 into 0 161.589 * [backup-simplify]: Simplify 1 into 1 161.589 * [backup-simplify]: Simplify (/ 1 1) into 1 161.589 * [taylor]: Taking taylor expansion of 1 in k 161.589 * [backup-simplify]: Simplify 1 into 1 161.589 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 161.589 * [taylor]: Taking taylor expansion of (/ -1 n) in k 161.589 * [taylor]: Taking taylor expansion of -1 in k 161.589 * [backup-simplify]: Simplify -1 into -1 161.589 * [taylor]: Taking taylor expansion of n in k 161.589 * [backup-simplify]: Simplify n into n 161.589 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 161.589 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 161.590 * [backup-simplify]: Simplify (+ 1 0) into 1 161.590 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 161.590 * [backup-simplify]: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 161.590 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) 161.590 * [taylor]: Taking taylor expansion of (pow (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) 2) in k 161.590 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) in k 161.590 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* 2 PI)))) in k 161.590 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* 2 PI))) in k 161.591 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in k 161.591 * [taylor]: Taking taylor expansion of 1/4 in k 161.591 * [backup-simplify]: Simplify 1/4 into 1/4 161.591 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 161.591 * [taylor]: Taking taylor expansion of (/ 1 k) in k 161.591 * [taylor]: Taking taylor expansion of k in k 161.591 * [backup-simplify]: Simplify 0 into 0 161.591 * [backup-simplify]: Simplify 1 into 1 161.591 * [backup-simplify]: Simplify (/ 1 1) into 1 161.591 * [taylor]: Taking taylor expansion of 1 in k 161.591 * [backup-simplify]: Simplify 1 into 1 161.591 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 161.591 * [taylor]: Taking taylor expansion of (* 2 PI) in k 161.591 * [taylor]: Taking taylor expansion of 2 in k 161.591 * [backup-simplify]: Simplify 2 into 2 161.591 * [taylor]: Taking taylor expansion of PI in k 161.591 * [backup-simplify]: Simplify PI into PI 161.592 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 161.593 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 161.593 * [backup-simplify]: Simplify (+ 1 0) into 1 161.594 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 161.595 * [backup-simplify]: Simplify (* 1/4 (log (* 2 PI))) into (* 1/4 (log (* 2 PI))) 161.596 * [backup-simplify]: Simplify (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* 2 PI)))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 161.597 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 161.597 * [taylor]: Taking taylor expansion of (/ -1 k) in k 161.597 * [taylor]: Taking taylor expansion of -1 in k 161.597 * [backup-simplify]: Simplify -1 into -1 161.597 * [taylor]: Taking taylor expansion of k in k 161.597 * [backup-simplify]: Simplify 0 into 0 161.597 * [backup-simplify]: Simplify 1 into 1 161.597 * [backup-simplify]: Simplify (/ -1 1) into -1 161.597 * [backup-simplify]: Simplify (sqrt 0) into 0 161.599 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 161.601 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) into (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) 161.602 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2)) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2)) 161.603 * [backup-simplify]: Simplify (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2)) +nan.0) into (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2))) 161.604 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2))) in n 161.604 * [taylor]: Taking taylor expansion of +nan.0 in n 161.604 * [backup-simplify]: Simplify +nan.0 into +nan.0 161.604 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2)) in n 161.604 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) in n 161.604 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n)))) in n 161.604 * [taylor]: Taking taylor expansion of 1/2 in n 161.604 * [backup-simplify]: Simplify 1/2 into 1/2 161.604 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (log (/ -1 n))) in n 161.604 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 161.604 * [taylor]: Taking taylor expansion of (/ 1 k) in n 161.604 * [taylor]: Taking taylor expansion of k in n 161.604 * [backup-simplify]: Simplify k into k 161.604 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 161.604 * [taylor]: Taking taylor expansion of 1 in n 161.604 * [backup-simplify]: Simplify 1 into 1 161.604 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 161.604 * [taylor]: Taking taylor expansion of (/ -1 n) in n 161.604 * [taylor]: Taking taylor expansion of -1 in n 161.604 * [backup-simplify]: Simplify -1 into -1 161.604 * [taylor]: Taking taylor expansion of n in n 161.604 * [backup-simplify]: Simplify 0 into 0 161.604 * [backup-simplify]: Simplify 1 into 1 161.605 * [backup-simplify]: Simplify (/ -1 1) into -1 161.605 * [backup-simplify]: Simplify (log -1) into (log -1) 161.605 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 161.606 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 161.606 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1) (- (log -1) (log n))) into (* (+ (/ 1 k) 1) (- (log -1) (log n))) 161.607 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) 161.607 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 161.607 * [taylor]: Taking taylor expansion of (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) in n 161.607 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) in n 161.607 * [taylor]: Taking taylor expansion of (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))) in n 161.608 * [taylor]: Taking taylor expansion of 1/4 in n 161.608 * [backup-simplify]: Simplify 1/4 into 1/4 161.608 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (log (* 2 PI))) in n 161.608 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 161.608 * [taylor]: Taking taylor expansion of (/ 1 k) in n 161.608 * [taylor]: Taking taylor expansion of k in n 161.608 * [backup-simplify]: Simplify k into k 161.608 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 161.608 * [taylor]: Taking taylor expansion of 1 in n 161.608 * [backup-simplify]: Simplify 1 into 1 161.608 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 161.608 * [taylor]: Taking taylor expansion of (* 2 PI) in n 161.608 * [taylor]: Taking taylor expansion of 2 in n 161.608 * [backup-simplify]: Simplify 2 into 2 161.608 * [taylor]: Taking taylor expansion of PI in n 161.608 * [backup-simplify]: Simplify PI into PI 161.608 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 161.609 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 161.609 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 161.610 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1) (log (* 2 PI))) into (* (+ (/ 1 k) 1) (log (* 2 PI))) 161.611 * [backup-simplify]: Simplify (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))) into (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))) 161.612 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 161.614 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) into (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) 161.615 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2)) into (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) 161.616 * [backup-simplify]: Simplify (* +nan.0 (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) into (* +nan.0 (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) 161.617 * [backup-simplify]: Simplify (* +nan.0 (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) into (* +nan.0 (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) 161.618 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 0) (* 0 (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))))) into 0 161.619 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) 0) (* 0 (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2))) into 0 161.619 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 161.621 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 161.623 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2)))) 161.623 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2)))) in n 161.623 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2))) in n 161.623 * [taylor]: Taking taylor expansion of +nan.0 in n 161.623 * [backup-simplify]: Simplify +nan.0 into +nan.0 161.623 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2)) in n 161.623 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) in n 161.623 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n)))) in n 161.623 * [taylor]: Taking taylor expansion of 1/2 in n 161.623 * [backup-simplify]: Simplify 1/2 into 1/2 161.623 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (log (/ -1 n))) in n 161.623 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 161.623 * [taylor]: Taking taylor expansion of (/ 1 k) in n 161.623 * [taylor]: Taking taylor expansion of k in n 161.623 * [backup-simplify]: Simplify k into k 161.623 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 161.623 * [taylor]: Taking taylor expansion of 1 in n 161.623 * [backup-simplify]: Simplify 1 into 1 161.623 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 161.623 * [taylor]: Taking taylor expansion of (/ -1 n) in n 161.623 * [taylor]: Taking taylor expansion of -1 in n 161.623 * [backup-simplify]: Simplify -1 into -1 161.623 * [taylor]: Taking taylor expansion of n in n 161.623 * [backup-simplify]: Simplify 0 into 0 161.623 * [backup-simplify]: Simplify 1 into 1 161.623 * [backup-simplify]: Simplify (/ -1 1) into -1 161.624 * [backup-simplify]: Simplify (log -1) into (log -1) 161.624 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 161.624 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 161.625 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1) (- (log -1) (log n))) into (* (+ (/ 1 k) 1) (- (log -1) (log n))) 161.625 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) 161.625 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 161.626 * [taylor]: Taking taylor expansion of (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) in n 161.626 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) in n 161.626 * [taylor]: Taking taylor expansion of (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))) in n 161.626 * [taylor]: Taking taylor expansion of 1/4 in n 161.626 * [backup-simplify]: Simplify 1/4 into 1/4 161.626 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (log (* 2 PI))) in n 161.626 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 161.626 * [taylor]: Taking taylor expansion of (/ 1 k) in n 161.626 * [taylor]: Taking taylor expansion of k in n 161.626 * [backup-simplify]: Simplify k into k 161.626 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 161.626 * [taylor]: Taking taylor expansion of 1 in n 161.626 * [backup-simplify]: Simplify 1 into 1 161.626 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 161.626 * [taylor]: Taking taylor expansion of (* 2 PI) in n 161.626 * [taylor]: Taking taylor expansion of 2 in n 161.626 * [backup-simplify]: Simplify 2 into 2 161.626 * [taylor]: Taking taylor expansion of PI in n 161.626 * [backup-simplify]: Simplify PI into PI 161.626 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 161.627 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 161.627 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 161.627 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1) (log (* 2 PI))) into (* (+ (/ 1 k) 1) (log (* 2 PI))) 161.628 * [backup-simplify]: Simplify (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))) into (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))) 161.629 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 161.630 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) into (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) 161.631 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2)) into (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) 161.632 * [backup-simplify]: Simplify (* +nan.0 (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) into (* +nan.0 (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) 161.633 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) into (- (* +nan.0 (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) 161.634 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) into (- (* +nan.0 (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) 161.635 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 161.638 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 161.639 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 161.639 * [backup-simplify]: Simplify (+ 0 0) into 0 161.639 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1) 0) (* 0 (log (* 2 PI)))) into 0 161.640 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (* (+ (/ 1 k) 1) (log (* 2 PI))))) into 0 161.641 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 161.643 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 0) (* 0 (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))))) into 0 161.643 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 161.644 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 161.644 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 161.645 * [backup-simplify]: Simplify (+ 0 0) into 0 161.646 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 161.646 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1) 0) (* 0 (- (log -1) (log n)))) into 0 161.647 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into 0 161.648 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 161.650 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 0) (* 0 (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2))) into 0 161.652 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) into 0 161.652 * [backup-simplify]: Simplify 0 into 0 161.655 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 0) (+ (* 0 0) (* 0 (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))))))) into 0 161.656 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) 0) (+ (* 0 0) (* 0 (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2)))) into 0 161.657 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 161.662 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 161.666 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2)))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2)))) 161.666 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2)))) in n 161.666 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2))) in n 161.666 * [taylor]: Taking taylor expansion of +nan.0 in n 161.666 * [backup-simplify]: Simplify +nan.0 into +nan.0 161.666 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2)) in n 161.666 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) in n 161.666 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n)))) in n 161.666 * [taylor]: Taking taylor expansion of 1/2 in n 161.666 * [backup-simplify]: Simplify 1/2 into 1/2 161.666 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (log (/ -1 n))) in n 161.666 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 161.666 * [taylor]: Taking taylor expansion of (/ 1 k) in n 161.666 * [taylor]: Taking taylor expansion of k in n 161.666 * [backup-simplify]: Simplify k into k 161.666 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 161.666 * [taylor]: Taking taylor expansion of 1 in n 161.667 * [backup-simplify]: Simplify 1 into 1 161.667 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 161.667 * [taylor]: Taking taylor expansion of (/ -1 n) in n 161.667 * [taylor]: Taking taylor expansion of -1 in n 161.667 * [backup-simplify]: Simplify -1 into -1 161.667 * [taylor]: Taking taylor expansion of n in n 161.667 * [backup-simplify]: Simplify 0 into 0 161.667 * [backup-simplify]: Simplify 1 into 1 161.667 * [backup-simplify]: Simplify (/ -1 1) into -1 161.668 * [backup-simplify]: Simplify (log -1) into (log -1) 161.668 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 161.669 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 161.669 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1) (- (log -1) (log n))) into (* (+ (/ 1 k) 1) (- (log -1) (log n))) 161.670 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) 161.670 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 161.670 * [taylor]: Taking taylor expansion of (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) in n 161.670 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) in n 161.670 * [taylor]: Taking taylor expansion of (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))) in n 161.670 * [taylor]: Taking taylor expansion of 1/4 in n 161.670 * [backup-simplify]: Simplify 1/4 into 1/4 161.670 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (log (* 2 PI))) in n 161.670 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 161.670 * [taylor]: Taking taylor expansion of (/ 1 k) in n 161.670 * [taylor]: Taking taylor expansion of k in n 161.670 * [backup-simplify]: Simplify k into k 161.670 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 161.670 * [taylor]: Taking taylor expansion of 1 in n 161.671 * [backup-simplify]: Simplify 1 into 1 161.671 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 161.671 * [taylor]: Taking taylor expansion of (* 2 PI) in n 161.671 * [taylor]: Taking taylor expansion of 2 in n 161.671 * [backup-simplify]: Simplify 2 into 2 161.671 * [taylor]: Taking taylor expansion of PI in n 161.671 * [backup-simplify]: Simplify PI into PI 161.671 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 161.672 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 161.672 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 161.674 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1) (log (* 2 PI))) into (* (+ (/ 1 k) 1) (log (* 2 PI))) 161.675 * [backup-simplify]: Simplify (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))) into (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))) 161.676 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 161.678 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) into (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) 161.680 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2)) into (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) 161.682 * [backup-simplify]: Simplify (* +nan.0 (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) into (* +nan.0 (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) 161.683 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) into (- (* +nan.0 (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) 161.685 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) into (- (* +nan.0 (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) 161.690 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (pow (exp (* 1/4 (* (+ (/ 1 (/ 1 (- k))) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log -1) (log (/ 1 (- n)))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (* (pow (exp (* 1/4 (* (+ (/ 1 (/ 1 (- k))) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log -1) (log (/ 1 (- n)))))))))) (* 1 (/ 1 (- k)))) (* +nan.0 (* (pow (exp (* 1/4 (* (+ (/ 1 (/ 1 (- k))) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log -1) (log (/ 1 (- n))))))))))) into (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) (pow (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) (pow (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) 2)) k)) (- (* +nan.0 (* (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) (pow (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) 2)))))))) 161.690 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 161.691 * [backup-simplify]: Simplify (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) into (* (pow (* 2 PI) (* 1/4 (- 1 k))) (sqrt (/ 1 k))) 161.691 * [approximate]: Taking taylor expansion of (* (pow (* 2 PI) (* 1/4 (- 1 k))) (sqrt (/ 1 k))) in (k) around 0 161.691 * [taylor]: Taking taylor expansion of (* (pow (* 2 PI) (* 1/4 (- 1 k))) (sqrt (/ 1 k))) in k 161.691 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/4 (- 1 k))) in k 161.691 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 PI)))) in k 161.691 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 PI))) in k 161.691 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in k 161.691 * [taylor]: Taking taylor expansion of 1/4 in k 161.691 * [backup-simplify]: Simplify 1/4 into 1/4 161.691 * [taylor]: Taking taylor expansion of (- 1 k) in k 161.691 * [taylor]: Taking taylor expansion of 1 in k 161.691 * [backup-simplify]: Simplify 1 into 1 161.691 * [taylor]: Taking taylor expansion of k in k 161.691 * [backup-simplify]: Simplify 0 into 0 161.691 * [backup-simplify]: Simplify 1 into 1 161.691 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 161.691 * [taylor]: Taking taylor expansion of (* 2 PI) in k 161.691 * [taylor]: Taking taylor expansion of 2 in k 161.691 * [backup-simplify]: Simplify 2 into 2 161.691 * [taylor]: Taking taylor expansion of PI in k 161.691 * [backup-simplify]: Simplify PI into PI 161.691 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 161.692 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 161.692 * [backup-simplify]: Simplify (- 0) into 0 161.692 * [backup-simplify]: Simplify (+ 1 0) into 1 161.693 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 161.694 * [backup-simplify]: Simplify (* 1/4 (log (* 2 PI))) into (* 1/4 (log (* 2 PI))) 161.695 * [backup-simplify]: Simplify (exp (* 1/4 (log (* 2 PI)))) into (pow (* 2 PI) 1/4) 161.695 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 161.695 * [taylor]: Taking taylor expansion of (/ 1 k) in k 161.695 * [taylor]: Taking taylor expansion of k in k 161.695 * [backup-simplify]: Simplify 0 into 0 161.695 * [backup-simplify]: Simplify 1 into 1 161.696 * [backup-simplify]: Simplify (/ 1 1) into 1 161.696 * [backup-simplify]: Simplify (sqrt 0) into 0 161.697 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 161.697 * [taylor]: Taking taylor expansion of (* (pow (* 2 PI) (* 1/4 (- 1 k))) (sqrt (/ 1 k))) in k 161.697 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/4 (- 1 k))) in k 161.697 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 PI)))) in k 161.697 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 PI))) in k 161.697 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in k 161.697 * [taylor]: Taking taylor expansion of 1/4 in k 161.697 * [backup-simplify]: Simplify 1/4 into 1/4 161.697 * [taylor]: Taking taylor expansion of (- 1 k) in k 161.697 * [taylor]: Taking taylor expansion of 1 in k 161.697 * [backup-simplify]: Simplify 1 into 1 161.697 * [taylor]: Taking taylor expansion of k in k 161.697 * [backup-simplify]: Simplify 0 into 0 161.697 * [backup-simplify]: Simplify 1 into 1 161.697 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 161.697 * [taylor]: Taking taylor expansion of (* 2 PI) in k 161.697 * [taylor]: Taking taylor expansion of 2 in k 161.697 * [backup-simplify]: Simplify 2 into 2 161.697 * [taylor]: Taking taylor expansion of PI in k 161.697 * [backup-simplify]: Simplify PI into PI 161.697 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 161.698 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 161.698 * [backup-simplify]: Simplify (- 0) into 0 161.699 * [backup-simplify]: Simplify (+ 1 0) into 1 161.699 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 161.700 * [backup-simplify]: Simplify (* 1/4 (log (* 2 PI))) into (* 1/4 (log (* 2 PI))) 161.701 * [backup-simplify]: Simplify (exp (* 1/4 (log (* 2 PI)))) into (pow (* 2 PI) 1/4) 161.701 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 161.701 * [taylor]: Taking taylor expansion of (/ 1 k) in k 161.701 * [taylor]: Taking taylor expansion of k in k 161.701 * [backup-simplify]: Simplify 0 into 0 161.701 * [backup-simplify]: Simplify 1 into 1 161.702 * [backup-simplify]: Simplify (/ 1 1) into 1 161.702 * [backup-simplify]: Simplify (sqrt 0) into 0 161.703 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 161.703 * [backup-simplify]: Simplify (* (pow (* 2 PI) 1/4) 0) into 0 161.703 * [backup-simplify]: Simplify 0 into 0 161.704 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 161.705 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 161.705 * [backup-simplify]: Simplify (- 1) into -1 161.705 * [backup-simplify]: Simplify (+ 0 -1) into -1 161.706 * [backup-simplify]: Simplify (+ (* 1/4 -1) (* 0 1)) into -1/4 161.708 * [backup-simplify]: Simplify (+ (* 1/4 0) (* -1/4 (log (* 2 PI)))) into (- (* 1/4 (log (* 2 PI)))) 161.715 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/4 (log (* 2 PI)))) 1) 1)))) into (* -1/4 (* (pow (* PI 2) 1/4) (log (* 2 PI)))) 161.719 * [backup-simplify]: Simplify (+ (* (pow (* 2 PI) 1/4) +nan.0) (* (* -1/4 (* (pow (* PI 2) 1/4) (log (* 2 PI)))) 0)) into (- (* +nan.0 (pow (* PI 2) 1/4))) 161.722 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* PI 2) 1/4))) into (- (* +nan.0 (pow (* PI 2) 1/4))) 161.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 161.726 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 161.727 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 161.731 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 161.731 * [backup-simplify]: Simplify (- 0) into 0 161.732 * [backup-simplify]: Simplify (+ 0 0) into 0 161.733 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 -1) (* 0 1))) into 0 161.733 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* -1/4 0) (* 0 (log (* 2 PI))))) into 0 161.742 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/4 (log (* 2 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (* (pow (* PI 2) 1/4) (pow (log (* 2 PI)) 2))) 161.753 * [backup-simplify]: Simplify (+ (* (pow (* 2 PI) 1/4) +nan.0) (+ (* (* -1/4 (* (pow (* PI 2) 1/4) (log (* 2 PI)))) +nan.0) (* (* 1/32 (* (pow (* PI 2) 1/4) (pow (log (* 2 PI)) 2))) 0))) into (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) (log (* 2 PI)))) (- (* +nan.0 (pow (* PI 2) 1/4))))) 161.759 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) (log (* 2 PI)))) (- (* +nan.0 (pow (* PI 2) 1/4))))) into (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) (log (* 2 PI)))) (- (* +nan.0 (pow (* PI 2) 1/4))))) 161.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 161.764 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 161.765 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 161.771 * [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 0 161.772 * [backup-simplify]: Simplify (- 0) into 0 161.772 * [backup-simplify]: Simplify (+ 0 0) into 0 161.774 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))) into 0 161.776 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* -1/4 0) (+ (* 0 0) (* 0 (log (* 2 PI)))))) into 0 161.787 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/4 (log (* 2 PI)))) 3) 6)) (* (/ (pow (- (* 1/4 (log (* 2 PI)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/384 (* (pow (* PI 2) 1/4) (pow (log (* 2 PI)) 3))) 161.810 * [backup-simplify]: Simplify (+ (* (pow (* 2 PI) 1/4) +nan.0) (+ (* (* -1/4 (* (pow (* PI 2) 1/4) (log (* 2 PI)))) +nan.0) (+ (* (* 1/32 (* (pow (* PI 2) 1/4) (pow (log (* 2 PI)) 2))) +nan.0) (* (* -1/384 (* (pow (* PI 2) 1/4) (pow (log (* 2 PI)) 3))) 0)))) into (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) (log (* 2 PI)))) (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) (pow (log (* 2 PI)) 2))) (- (* +nan.0 (pow (* PI 2) 1/4))))))) 161.833 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) (log (* 2 PI)))) (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) (pow (log (* 2 PI)) 2))) (- (* +nan.0 (pow (* PI 2) 1/4))))))) into (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) (log (* 2 PI)))) (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) (pow (log (* 2 PI)) 2))) (- (* +nan.0 (pow (* PI 2) 1/4))))))) 161.873 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) (log (* 2 PI)))) (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) (pow (log (* 2 PI)) 2))) (- (* +nan.0 (pow (* PI 2) 1/4))))))) (pow k 2)) (+ (* (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) (log (* 2 PI)))) (- (* +nan.0 (pow (* PI 2) 1/4))))) k) (- (* +nan.0 (pow (* PI 2) 1/4))))) into (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) (* k (log (* 2 PI))))) (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) k)) (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) (pow k 2))) (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) (* (pow (log (* 2 PI)) 2) (pow k 2)))) (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) (* (log (* 2 PI)) (pow k 2)))) (- (* +nan.0 (pow (* PI 2) 1/4))))))))))))) 161.874 * [backup-simplify]: Simplify (* (/ 1 (sqrt (/ 1 k))) (pow (* 2 PI) (/ (/ (- 1 (/ 1 k)) 2) 2))) into (* (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) (sqrt k)) 161.874 * [approximate]: Taking taylor expansion of (* (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) (sqrt k)) in (k) around 0 161.874 * [taylor]: Taking taylor expansion of (* (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) (sqrt k)) in k 161.874 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) in k 161.874 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 PI)))) in k 161.874 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 PI))) in k 161.874 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in k 161.874 * [taylor]: Taking taylor expansion of 1/4 in k 161.874 * [backup-simplify]: Simplify 1/4 into 1/4 161.874 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 161.874 * [taylor]: Taking taylor expansion of 1 in k 161.874 * [backup-simplify]: Simplify 1 into 1 161.874 * [taylor]: Taking taylor expansion of (/ 1 k) in k 161.874 * [taylor]: Taking taylor expansion of k in k 161.874 * [backup-simplify]: Simplify 0 into 0 161.874 * [backup-simplify]: Simplify 1 into 1 161.875 * [backup-simplify]: Simplify (/ 1 1) into 1 161.875 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 161.875 * [taylor]: Taking taylor expansion of (* 2 PI) in k 161.875 * [taylor]: Taking taylor expansion of 2 in k 161.875 * [backup-simplify]: Simplify 2 into 2 161.875 * [taylor]: Taking taylor expansion of PI in k 161.875 * [backup-simplify]: Simplify PI into PI 161.875 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 161.876 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 161.877 * [backup-simplify]: Simplify (- 1) into -1 161.877 * [backup-simplify]: Simplify (+ 0 -1) into -1 161.878 * [backup-simplify]: Simplify (* 1/4 -1) into -1/4 161.879 * [backup-simplify]: Simplify (* -1/4 (log (* 2 PI))) into (* -1/4 (log (* 2 PI))) 161.880 * [backup-simplify]: Simplify (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 PI)))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 161.880 * [taylor]: Taking taylor expansion of (sqrt k) in k 161.880 * [taylor]: Taking taylor expansion of k in k 161.880 * [backup-simplify]: Simplify 0 into 0 161.880 * [backup-simplify]: Simplify 1 into 1 161.881 * [backup-simplify]: Simplify (sqrt 0) into 0 161.882 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 161.883 * [taylor]: Taking taylor expansion of (* (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) (sqrt k)) in k 161.883 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) in k 161.883 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 PI)))) in k 161.883 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 PI))) in k 161.883 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in k 161.883 * [taylor]: Taking taylor expansion of 1/4 in k 161.883 * [backup-simplify]: Simplify 1/4 into 1/4 161.883 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 161.883 * [taylor]: Taking taylor expansion of 1 in k 161.883 * [backup-simplify]: Simplify 1 into 1 161.883 * [taylor]: Taking taylor expansion of (/ 1 k) in k 161.883 * [taylor]: Taking taylor expansion of k in k 161.883 * [backup-simplify]: Simplify 0 into 0 161.883 * [backup-simplify]: Simplify 1 into 1 161.883 * [backup-simplify]: Simplify (/ 1 1) into 1 161.883 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 161.883 * [taylor]: Taking taylor expansion of (* 2 PI) in k 161.883 * [taylor]: Taking taylor expansion of 2 in k 161.883 * [backup-simplify]: Simplify 2 into 2 161.883 * [taylor]: Taking taylor expansion of PI in k 161.883 * [backup-simplify]: Simplify PI into PI 161.884 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 161.885 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 161.885 * [backup-simplify]: Simplify (- 1) into -1 161.886 * [backup-simplify]: Simplify (+ 0 -1) into -1 161.886 * [backup-simplify]: Simplify (* 1/4 -1) into -1/4 161.888 * [backup-simplify]: Simplify (* -1/4 (log (* 2 PI))) into (* -1/4 (log (* 2 PI))) 161.889 * [backup-simplify]: Simplify (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 PI)))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 161.889 * [taylor]: Taking taylor expansion of (sqrt k) in k 161.889 * [taylor]: Taking taylor expansion of k in k 161.889 * [backup-simplify]: Simplify 0 into 0 161.889 * [backup-simplify]: Simplify 1 into 1 161.890 * [backup-simplify]: Simplify (sqrt 0) into 0 161.891 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 161.892 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 0) into 0 161.892 * [backup-simplify]: Simplify 0 into 0 161.894 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) 161.895 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) 161.897 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 161.899 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) 161.899 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) 161.902 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 161.903 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) 161.904 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) 161.906 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/4 (* (- 1 (/ 1 (/ 1 k))) (log (* 2 PI))))))) (pow (/ 1 k) 3)) (+ (* (- (* +nan.0 (exp (* 1/4 (* (- 1 (/ 1 (/ 1 k))) (log (* 2 PI))))))) (pow (/ 1 k) 2)) (* (- (* +nan.0 (exp (* 1/4 (* (- 1 (/ 1 (/ 1 k))) (log (* 2 PI))))))) (/ 1 k)))) into (- (+ (* +nan.0 (/ (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) k)) (- (* +nan.0 (/ (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) (pow k 2)))))))) 161.906 * [backup-simplify]: Simplify (* (/ 1 (sqrt (/ 1 (- k)))) (pow (* 2 PI) (/ (/ (- 1 (/ 1 (- k))) 2) 2))) into (/ (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) 161.906 * [approximate]: Taking taylor expansion of (/ (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (k) around 0 161.906 * [taylor]: Taking taylor expansion of (/ (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 161.906 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) in k 161.907 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* 2 PI)))) in k 161.907 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* 2 PI))) in k 161.907 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in k 161.907 * [taylor]: Taking taylor expansion of 1/4 in k 161.907 * [backup-simplify]: Simplify 1/4 into 1/4 161.907 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 161.907 * [taylor]: Taking taylor expansion of (/ 1 k) in k 161.907 * [taylor]: Taking taylor expansion of k in k 161.907 * [backup-simplify]: Simplify 0 into 0 161.907 * [backup-simplify]: Simplify 1 into 1 161.907 * [backup-simplify]: Simplify (/ 1 1) into 1 161.907 * [taylor]: Taking taylor expansion of 1 in k 161.907 * [backup-simplify]: Simplify 1 into 1 161.907 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 161.907 * [taylor]: Taking taylor expansion of (* 2 PI) in k 161.907 * [taylor]: Taking taylor expansion of 2 in k 161.907 * [backup-simplify]: Simplify 2 into 2 161.907 * [taylor]: Taking taylor expansion of PI in k 161.907 * [backup-simplify]: Simplify PI into PI 161.907 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 161.908 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 161.908 * [backup-simplify]: Simplify (+ 1 0) into 1 161.908 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 161.909 * [backup-simplify]: Simplify (* 1/4 (log (* 2 PI))) into (* 1/4 (log (* 2 PI))) 161.910 * [backup-simplify]: Simplify (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* 2 PI)))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 161.910 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 161.910 * [taylor]: Taking taylor expansion of (/ -1 k) in k 161.910 * [taylor]: Taking taylor expansion of -1 in k 161.910 * [backup-simplify]: Simplify -1 into -1 161.910 * [taylor]: Taking taylor expansion of k in k 161.910 * [backup-simplify]: Simplify 0 into 0 161.910 * [backup-simplify]: Simplify 1 into 1 161.910 * [backup-simplify]: Simplify (/ -1 1) into -1 161.911 * [backup-simplify]: Simplify (sqrt 0) into 0 161.911 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 161.912 * [backup-simplify]: Simplify (/ (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) +nan.0) into (* +nan.0 (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) 161.912 * [taylor]: Taking taylor expansion of (/ (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 161.912 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) in k 161.912 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* 2 PI)))) in k 161.912 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* 2 PI))) in k 161.912 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in k 161.912 * [taylor]: Taking taylor expansion of 1/4 in k 161.912 * [backup-simplify]: Simplify 1/4 into 1/4 161.912 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 161.912 * [taylor]: Taking taylor expansion of (/ 1 k) in k 161.912 * [taylor]: Taking taylor expansion of k in k 161.912 * [backup-simplify]: Simplify 0 into 0 161.912 * [backup-simplify]: Simplify 1 into 1 161.913 * [backup-simplify]: Simplify (/ 1 1) into 1 161.913 * [taylor]: Taking taylor expansion of 1 in k 161.913 * [backup-simplify]: Simplify 1 into 1 161.913 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 161.913 * [taylor]: Taking taylor expansion of (* 2 PI) in k 161.913 * [taylor]: Taking taylor expansion of 2 in k 161.913 * [backup-simplify]: Simplify 2 into 2 161.913 * [taylor]: Taking taylor expansion of PI in k 161.913 * [backup-simplify]: Simplify PI into PI 161.913 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 161.914 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 161.914 * [backup-simplify]: Simplify (+ 1 0) into 1 161.914 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 161.915 * [backup-simplify]: Simplify (* 1/4 (log (* 2 PI))) into (* 1/4 (log (* 2 PI))) 161.916 * [backup-simplify]: Simplify (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* 2 PI)))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 161.916 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 161.916 * [taylor]: Taking taylor expansion of (/ -1 k) in k 161.916 * [taylor]: Taking taylor expansion of -1 in k 161.916 * [backup-simplify]: Simplify -1 into -1 161.916 * [taylor]: Taking taylor expansion of k in k 161.916 * [backup-simplify]: Simplify 0 into 0 161.916 * [backup-simplify]: Simplify 1 into 1 161.916 * [backup-simplify]: Simplify (/ -1 1) into -1 161.917 * [backup-simplify]: Simplify (sqrt 0) into 0 161.917 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 161.918 * [backup-simplify]: Simplify (/ (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) +nan.0) into (* +nan.0 (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) 161.919 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) into (* +nan.0 (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) 161.919 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 161.921 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 161.922 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))))) 161.923 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))))) 161.923 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 161.926 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 161.928 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))))) 161.928 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))))) 161.931 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/4 (* (+ (/ 1 (/ 1 (- k))) 1) (log (* 2 PI))))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (exp (* 1/4 (* (+ (/ 1 (/ 1 (- k))) 1) (log (* 2 PI))))))) (/ 1 (- k))) (* +nan.0 (exp (* 1/4 (* (+ (/ 1 (/ 1 (- k))) 1) (log (* 2 PI)))))))) into (- (+ (* +nan.0 (/ (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) (pow k 2))) (- (* +nan.0 (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))))))))) 161.931 * * * [progress]: simplifying candidates 161.931 * * * * [progress]: [ 1 / 417 ] simplifiying candidate # 161.931 * [simplify]: Simplifying (* (log n) (/ (- 1 k) 2)) 161.931 * * [simplify]: iters left: 6 (8 enodes) 161.934 * * [simplify]: iters left: 5 (35 enodes) 161.940 * * [simplify]: iters left: 4 (56 enodes) 161.949 * * [simplify]: iters left: 3 (70 enodes) 161.961 * * [simplify]: iters left: 2 (125 enodes) 162.005 * * [simplify]: iters left: 1 (158 enodes) 162.031 * * [simplify]: Extracting #0: cost 1 inf + 0 162.032 * * [simplify]: Extracting #1: cost 16 inf + 0 162.032 * * [simplify]: Extracting #2: cost 41 inf + 3 162.032 * * [simplify]: Extracting #3: cost 33 inf + 990 162.033 * * [simplify]: Extracting #4: cost 6 inf + 4107 162.035 * * [simplify]: Extracting #5: cost 0 inf + 5034 162.038 * [simplify]: Simplified to (- (* 1/2 (log n)) (* k (* 1/2 (log n)))) 162.038 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (exp (- (* 1/2 (log n)) (* k (* 1/2 (log n)))))))) 162.038 * * * * [progress]: [ 2 / 417 ] simplifiying candidate # 162.038 * * * * [progress]: [ 3 / 417 ] simplifiying candidate # 162.038 * * * * [progress]: [ 4 / 417 ] simplifiying candidate # 162.039 * [simplify]: Simplifying (pow n (/ k 2)) 162.039 * * [simplify]: iters left: 3 (5 enodes) 162.042 * * [simplify]: iters left: 2 (18 enodes) 162.049 * * [simplify]: iters left: 1 (30 enodes) 162.059 * * [simplify]: Extracting #0: cost 1 inf + 0 162.060 * * [simplify]: Extracting #1: cost 10 inf + 0 162.060 * * [simplify]: Extracting #2: cost 23 inf + 1 162.060 * * [simplify]: Extracting #3: cost 23 inf + 46 162.060 * * [simplify]: Extracting #4: cost 11 inf + 1346 162.061 * * [simplify]: Extracting #5: cost 1 inf + 3938 162.062 * * [simplify]: Extracting #6: cost 0 inf + 4111 162.063 * * [simplify]: Extracting #7: cost 0 inf + 4070 162.063 * [simplify]: Simplified to (pow n (/ k 2)) 162.064 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (/ (pow n (/ 1 2)) (pow n (/ k 2)))))) 162.064 * * * * [progress]: [ 5 / 417 ] simplifiying candidate # 162.064 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2)) 162.064 * * [simplify]: iters left: 5 (6 enodes) 162.068 * * [simplify]: iters left: 4 (26 enodes) 162.073 * * [simplify]: iters left: 3 (35 enodes) 162.080 * * [simplify]: Extracting #0: cost 1 inf + 0 162.080 * * [simplify]: Extracting #1: cost 3 inf + 0 162.080 * * [simplify]: Extracting #2: cost 8 inf + 0 162.080 * * [simplify]: Extracting #3: cost 11 inf + 2 162.080 * * [simplify]: Extracting #4: cost 8 inf + 87 162.081 * * [simplify]: Extracting #5: cost 2 inf + 500 162.081 * * [simplify]: Extracting #6: cost 0 inf + 746 162.081 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2)) 162.081 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow n (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2)))))) 162.081 * * * * [progress]: [ 6 / 417 ] simplifiying candidate # 162.081 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2)) 162.081 * * [simplify]: iters left: 5 (6 enodes) 162.084 * * [simplify]: iters left: 4 (26 enodes) 162.088 * * [simplify]: iters left: 3 (35 enodes) 162.094 * * [simplify]: Extracting #0: cost 1 inf + 0 162.094 * * [simplify]: Extracting #1: cost 3 inf + 0 162.094 * * [simplify]: Extracting #2: cost 8 inf + 0 162.094 * * [simplify]: Extracting #3: cost 11 inf + 2 162.094 * * [simplify]: Extracting #4: cost 8 inf + 87 162.094 * * [simplify]: Extracting #5: cost 2 inf + 460 162.094 * * [simplify]: Extracting #6: cost 0 inf + 666 162.095 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2)) 162.095 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow n (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2)))))) 162.095 * * * * [progress]: [ 7 / 417 ] simplifiying candidate # 162.095 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2)) 162.095 * * [simplify]: iters left: 5 (7 enodes) 162.098 * * [simplify]: iters left: 4 (25 enodes) 162.107 * * [simplify]: iters left: 3 (30 enodes) 162.117 * * [simplify]: Extracting #0: cost 1 inf + 0 162.117 * * [simplify]: Extracting #1: cost 4 inf + 0 162.117 * * [simplify]: Extracting #2: cost 8 inf + 0 162.117 * * [simplify]: Extracting #3: cost 10 inf + 82 162.117 * * [simplify]: Extracting #4: cost 7 inf + 206 162.118 * * [simplify]: Extracting #5: cost 2 inf + 575 162.118 * * [simplify]: Extracting #6: cost 1 inf + 818 162.118 * * [simplify]: Extracting #7: cost 0 inf + 1061 162.118 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2)) 162.119 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow n (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2)))))) 162.119 * * * * [progress]: [ 8 / 417 ] simplifiying candidate # 162.119 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2)) 162.119 * * [simplify]: iters left: 5 (7 enodes) 162.124 * * [simplify]: iters left: 4 (25 enodes) 162.132 * * [simplify]: iters left: 3 (30 enodes) 162.140 * * [simplify]: Extracting #0: cost 1 inf + 0 162.140 * * [simplify]: Extracting #1: cost 4 inf + 0 162.140 * * [simplify]: Extracting #2: cost 8 inf + 0 162.140 * * [simplify]: Extracting #3: cost 10 inf + 42 162.141 * * [simplify]: Extracting #4: cost 7 inf + 126 162.141 * * [simplify]: Extracting #5: cost 2 inf + 495 162.141 * * [simplify]: Extracting #6: cost 1 inf + 698 162.141 * * [simplify]: Extracting #7: cost 0 inf + 901 162.142 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2)) 162.142 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow n (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2)))))) 162.142 * * * * [progress]: [ 9 / 417 ] simplifiying candidate # 162.142 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2) 162.142 * * [simplify]: iters left: 5 (6 enodes) 162.146 * * [simplify]: iters left: 4 (22 enodes) 162.152 * * [simplify]: iters left: 3 (27 enodes) 162.160 * * [simplify]: Extracting #0: cost 1 inf + 0 162.160 * * [simplify]: Extracting #1: cost 4 inf + 0 162.160 * * [simplify]: Extracting #2: cost 5 inf + 1 162.160 * * [simplify]: Extracting #3: cost 9 inf + 1 162.160 * * [simplify]: Extracting #4: cost 8 inf + 3 162.160 * * [simplify]: Extracting #5: cost 4 inf + 169 162.160 * * [simplify]: Extracting #6: cost 1 inf + 576 162.161 * * [simplify]: Extracting #7: cost 0 inf + 739 162.161 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 162.161 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow n (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2))))) 162.161 * * * * [progress]: [ 10 / 417 ] simplifiying candidate # 162.161 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2)) 162.162 * * [simplify]: iters left: 5 (7 enodes) 162.165 * * [simplify]: iters left: 4 (25 enodes) 162.173 * * [simplify]: iters left: 3 (30 enodes) 162.181 * * [simplify]: Extracting #0: cost 1 inf + 0 162.181 * * [simplify]: Extracting #1: cost 4 inf + 0 162.181 * * [simplify]: Extracting #2: cost 8 inf + 0 162.181 * * [simplify]: Extracting #3: cost 10 inf + 82 162.181 * * [simplify]: Extracting #4: cost 7 inf + 206 162.182 * * [simplify]: Extracting #5: cost 2 inf + 495 162.182 * * [simplify]: Extracting #6: cost 1 inf + 698 162.182 * * [simplify]: Extracting #7: cost 0 inf + 901 162.182 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2)) 162.182 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow n (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2)))))) 162.183 * * * * [progress]: [ 11 / 417 ] simplifiying candidate # 162.183 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2)) 162.183 * * [simplify]: iters left: 5 (7 enodes) 162.187 * * [simplify]: iters left: 4 (25 enodes) 162.195 * * [simplify]: iters left: 3 (30 enodes) 162.203 * * [simplify]: Extracting #0: cost 1 inf + 0 162.203 * * [simplify]: Extracting #1: cost 4 inf + 0 162.203 * * [simplify]: Extracting #2: cost 8 inf + 0 162.203 * * [simplify]: Extracting #3: cost 10 inf + 42 162.203 * * [simplify]: Extracting #4: cost 7 inf + 126 162.203 * * [simplify]: Extracting #5: cost 2 inf + 415 162.204 * * [simplify]: Extracting #6: cost 1 inf + 578 162.204 * * [simplify]: Extracting #7: cost 0 inf + 741 162.204 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2)) 162.204 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow n (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2)))))) 162.204 * * * * [progress]: [ 12 / 417 ] simplifiying candidate # 162.205 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2) 162.205 * * [simplify]: iters left: 5 (6 enodes) 162.210 * * [simplify]: iters left: 4 (22 enodes) 162.217 * * [simplify]: iters left: 3 (27 enodes) 162.223 * * [simplify]: Extracting #0: cost 1 inf + 0 162.223 * * [simplify]: Extracting #1: cost 4 inf + 0 162.223 * * [simplify]: Extracting #2: cost 5 inf + 1 162.223 * * [simplify]: Extracting #3: cost 9 inf + 1 162.223 * * [simplify]: Extracting #4: cost 8 inf + 3 162.223 * * [simplify]: Extracting #5: cost 4 inf + 169 162.223 * * [simplify]: Extracting #6: cost 1 inf + 456 162.223 * * [simplify]: Extracting #7: cost 0 inf + 579 162.223 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 162.223 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow n (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2))))) 162.223 * * * * [progress]: [ 13 / 417 ] simplifiying candidate # 162.224 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 162.224 * * [simplify]: iters left: 4 (6 enodes) 162.226 * * [simplify]: iters left: 3 (25 enodes) 162.230 * * [simplify]: iters left: 2 (36 enodes) 162.236 * * [simplify]: iters left: 1 (40 enodes) 162.242 * * [simplify]: Extracting #0: cost 1 inf + 0 162.242 * * [simplify]: Extracting #1: cost 7 inf + 0 162.242 * * [simplify]: Extracting #2: cost 16 inf + 0 162.242 * * [simplify]: Extracting #3: cost 13 inf + 44 162.243 * * [simplify]: Extracting #4: cost 3 inf + 1103 162.243 * * [simplify]: Extracting #5: cost 0 inf + 1469 162.243 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 162.243 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow n (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2)))))) 162.243 * * * * [progress]: [ 14 / 417 ] simplifiying candidate # 162.243 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 162.244 * * [simplify]: iters left: 4 (6 enodes) 162.246 * * [simplify]: iters left: 3 (25 enodes) 162.251 * * [simplify]: iters left: 2 (36 enodes) 162.262 * * [simplify]: iters left: 1 (40 enodes) 162.274 * * [simplify]: Extracting #0: cost 1 inf + 0 162.274 * * [simplify]: Extracting #1: cost 7 inf + 0 162.274 * * [simplify]: Extracting #2: cost 16 inf + 0 162.274 * * [simplify]: Extracting #3: cost 13 inf + 44 162.274 * * [simplify]: Extracting #4: cost 3 inf + 823 162.275 * * [simplify]: Extracting #5: cost 0 inf + 1069 162.275 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 162.275 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow n (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2)))))) 162.276 * * * * [progress]: [ 15 / 417 ] simplifiying candidate # 162.276 * [simplify]: Simplifying (/ (- 1 k) 2) 162.276 * * [simplify]: iters left: 4 (5 enodes) 162.280 * * [simplify]: iters left: 3 (23 enodes) 162.287 * * [simplify]: iters left: 2 (32 enodes) 162.297 * * [simplify]: Extracting #0: cost 1 inf + 0 162.297 * * [simplify]: Extracting #1: cost 6 inf + 0 162.297 * * [simplify]: Extracting #2: cost 9 inf + 2 162.298 * * [simplify]: Extracting #3: cost 6 inf + 87 162.298 * * [simplify]: Extracting #4: cost 0 inf + 420 162.298 * [simplify]: Simplified to (/ (- 1 k) 2) 162.298 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow n (/ 1 1)) (/ (- 1 k) 2))))) 162.298 * * * * [progress]: [ 16 / 417 ] simplifiying candidate # 162.299 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 162.299 * * [simplify]: iters left: 5 (8 enodes) 162.304 * * [simplify]: iters left: 4 (31 enodes) 162.314 * * [simplify]: iters left: 3 (45 enodes) 162.326 * * [simplify]: iters left: 2 (51 enodes) 162.342 * * [simplify]: iters left: 1 (52 enodes) 162.355 * * [simplify]: Extracting #0: cost 1 inf + 0 162.355 * * [simplify]: Extracting #1: cost 8 inf + 0 162.355 * * [simplify]: Extracting #2: cost 18 inf + 0 162.355 * * [simplify]: Extracting #3: cost 19 inf + 2 162.356 * * [simplify]: Extracting #4: cost 9 inf + 977 162.356 * * [simplify]: Extracting #5: cost 2 inf + 1790 162.357 * * [simplify]: Extracting #6: cost 0 inf + 2195 162.357 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 162.357 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow n (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2)))))) 162.357 * * * * [progress]: [ 17 / 417 ] simplifiying candidate # 162.357 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 162.358 * * [simplify]: iters left: 5 (8 enodes) 162.360 * * [simplify]: iters left: 4 (31 enodes) 162.366 * * [simplify]: iters left: 3 (45 enodes) 162.373 * * [simplify]: iters left: 2 (51 enodes) 162.380 * * [simplify]: iters left: 1 (52 enodes) 162.387 * * [simplify]: Extracting #0: cost 1 inf + 0 162.387 * * [simplify]: Extracting #1: cost 8 inf + 0 162.387 * * [simplify]: Extracting #2: cost 18 inf + 0 162.387 * * [simplify]: Extracting #3: cost 19 inf + 2 162.387 * * [simplify]: Extracting #4: cost 9 inf + 697 162.388 * * [simplify]: Extracting #5: cost 2 inf + 1390 162.388 * * [simplify]: Extracting #6: cost 0 inf + 1715 162.389 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 162.389 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow n (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2)))))) 162.389 * * * * [progress]: [ 18 / 417 ] simplifiying candidate # 162.389 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 162.389 * * [simplify]: iters left: 5 (7 enodes) 162.394 * * [simplify]: iters left: 4 (29 enodes) 162.403 * * [simplify]: iters left: 3 (43 enodes) 162.413 * * [simplify]: iters left: 2 (47 enodes) 162.423 * * [simplify]: Extracting #0: cost 1 inf + 0 162.423 * * [simplify]: Extracting #1: cost 7 inf + 0 162.423 * * [simplify]: Extracting #2: cost 11 inf + 2 162.423 * * [simplify]: Extracting #3: cost 13 inf + 3 162.423 * * [simplify]: Extracting #4: cost 11 inf + 45 162.423 * * [simplify]: Extracting #5: cost 0 inf + 1066 162.424 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 162.424 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow n (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) 162.424 * * * * [progress]: [ 19 / 417 ] simplifiying candidate # 162.424 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 162.424 * * [simplify]: iters left: 5 (7 enodes) 162.427 * * [simplify]: iters left: 4 (28 enodes) 162.432 * * [simplify]: iters left: 3 (39 enodes) 162.438 * * [simplify]: iters left: 2 (43 enodes) 162.445 * * [simplify]: Extracting #0: cost 1 inf + 0 162.445 * * [simplify]: Extracting #1: cost 7 inf + 0 162.445 * * [simplify]: Extracting #2: cost 16 inf + 0 162.446 * * [simplify]: Extracting #3: cost 15 inf + 164 162.446 * * [simplify]: Extracting #4: cost 13 inf + 287 162.446 * * [simplify]: Extracting #5: cost 5 inf + 1180 162.446 * * [simplify]: Extracting #6: cost 0 inf + 1951 162.446 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 162.446 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow n (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2)))))) 162.447 * * * * [progress]: [ 20 / 417 ] simplifiying candidate # 162.447 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 162.447 * * [simplify]: iters left: 5 (7 enodes) 162.449 * * [simplify]: iters left: 4 (28 enodes) 162.454 * * [simplify]: iters left: 3 (39 enodes) 162.460 * * [simplify]: iters left: 2 (43 enodes) 162.467 * * [simplify]: Extracting #0: cost 1 inf + 0 162.467 * * [simplify]: Extracting #1: cost 7 inf + 0 162.467 * * [simplify]: Extracting #2: cost 16 inf + 0 162.467 * * [simplify]: Extracting #3: cost 15 inf + 84 162.467 * * [simplify]: Extracting #4: cost 13 inf + 167 162.467 * * [simplify]: Extracting #5: cost 5 inf + 900 162.467 * * [simplify]: Extracting #6: cost 0 inf + 1551 162.468 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 162.468 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow n (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2)))))) 162.468 * * * * [progress]: [ 21 / 417 ] simplifiying candidate # 162.468 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 162.468 * * [simplify]: iters left: 5 (6 enodes) 162.471 * * [simplify]: iters left: 4 (26 enodes) 162.476 * * [simplify]: iters left: 3 (35 enodes) 162.481 * * [simplify]: Extracting #0: cost 1 inf + 0 162.481 * * [simplify]: Extracting #1: cost 6 inf + 0 162.481 * * [simplify]: Extracting #2: cost 9 inf + 2 162.481 * * [simplify]: Extracting #3: cost 11 inf + 3 162.481 * * [simplify]: Extracting #4: cost 10 inf + 4 162.481 * * [simplify]: Extracting #5: cost 3 inf + 535 162.482 * * [simplify]: Extracting #6: cost 0 inf + 822 162.482 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 162.482 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) 162.482 * * * * [progress]: [ 22 / 417 ] simplifiying candidate # 162.482 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 162.482 * * [simplify]: iters left: 4 (6 enodes) 162.484 * * [simplify]: iters left: 3 (25 enodes) 162.489 * * [simplify]: iters left: 2 (36 enodes) 162.494 * * [simplify]: iters left: 1 (40 enodes) 162.500 * * [simplify]: Extracting #0: cost 1 inf + 0 162.500 * * [simplify]: Extracting #1: cost 7 inf + 0 162.501 * * [simplify]: Extracting #2: cost 16 inf + 0 162.501 * * [simplify]: Extracting #3: cost 13 inf + 44 162.501 * * [simplify]: Extracting #4: cost 3 inf + 1103 162.501 * * [simplify]: Extracting #5: cost 0 inf + 1469 162.502 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 162.502 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow n (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2)))))) 162.502 * * * * [progress]: [ 23 / 417 ] simplifiying candidate # 162.503 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 162.503 * * [simplify]: iters left: 4 (6 enodes) 162.507 * * [simplify]: iters left: 3 (25 enodes) 162.516 * * [simplify]: iters left: 2 (36 enodes) 162.527 * * [simplify]: iters left: 1 (40 enodes) 162.539 * * [simplify]: Extracting #0: cost 1 inf + 0 162.539 * * [simplify]: Extracting #1: cost 7 inf + 0 162.539 * * [simplify]: Extracting #2: cost 16 inf + 0 162.539 * * [simplify]: Extracting #3: cost 13 inf + 44 162.539 * * [simplify]: Extracting #4: cost 3 inf + 823 162.540 * * [simplify]: Extracting #5: cost 0 inf + 1069 162.540 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 162.540 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow n (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2)))))) 162.541 * * * * [progress]: [ 24 / 417 ] simplifiying candidate # 162.541 * [simplify]: Simplifying (/ (- 1 k) 2) 162.541 * * [simplify]: iters left: 4 (5 enodes) 162.545 * * [simplify]: iters left: 3 (23 enodes) 162.553 * * [simplify]: iters left: 2 (32 enodes) 162.558 * * [simplify]: Extracting #0: cost 1 inf + 0 162.558 * * [simplify]: Extracting #1: cost 6 inf + 0 162.558 * * [simplify]: Extracting #2: cost 9 inf + 2 162.558 * * [simplify]: Extracting #3: cost 6 inf + 87 162.558 * * [simplify]: Extracting #4: cost 0 inf + 420 162.558 * [simplify]: Simplified to (/ (- 1 k) 2) 162.558 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow n (/ 1 1)) (/ (- 1 k) 2))))) 162.558 * * * * [progress]: [ 25 / 417 ] simplifiying candidate # 162.559 * [simplify]: Simplifying (/ (- 1 k) 2) 162.559 * * [simplify]: iters left: 4 (5 enodes) 162.561 * * [simplify]: iters left: 3 (23 enodes) 162.565 * * [simplify]: iters left: 2 (32 enodes) 162.571 * * [simplify]: Extracting #0: cost 1 inf + 0 162.571 * * [simplify]: Extracting #1: cost 6 inf + 0 162.571 * * [simplify]: Extracting #2: cost 9 inf + 2 162.571 * * [simplify]: Extracting #3: cost 6 inf + 87 162.571 * * [simplify]: Extracting #4: cost 0 inf + 420 162.571 * [simplify]: Simplified to (/ (- 1 k) 2) 162.571 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow n 1) (/ (- 1 k) 2))))) 162.571 * * * * [progress]: [ 26 / 417 ] simplifiying candidate # 162.571 * [simplify]: Simplifying (/ 1 2) 162.572 * * [simplify]: iters left: 2 (3 enodes) 162.574 * * [simplify]: iters left: 1 (12 enodes) 162.578 * * [simplify]: Extracting #0: cost 1 inf + 0 162.578 * * [simplify]: Extracting #1: cost 0 inf + 1 162.578 * [simplify]: Simplified to 1/2 162.579 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow n (- 1 k)) 1/2)))) 162.579 * * * * [progress]: [ 27 / 417 ] simplifiying candidate # 162.579 * [simplify]: Simplifying (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) 162.579 * * [simplify]: iters left: 5 (9 enodes) 162.585 * * [simplify]: iters left: 4 (38 enodes) 162.598 * * [simplify]: iters left: 3 (63 enodes) 162.609 * * [simplify]: iters left: 2 (98 enodes) 162.628 * * [simplify]: iters left: 1 (167 enodes) 162.691 * * [simplify]: Extracting #0: cost 1 inf + 0 162.691 * * [simplify]: Extracting #1: cost 13 inf + 0 162.691 * * [simplify]: Extracting #2: cost 54 inf + 1 162.692 * * [simplify]: Extracting #3: cost 87 inf + 5 162.692 * * [simplify]: Extracting #4: cost 68 inf + 1334 162.693 * * [simplify]: Extracting #5: cost 40 inf + 5047 162.695 * * [simplify]: Extracting #6: cost 11 inf + 17686 162.698 * * [simplify]: Extracting #7: cost 0 inf + 25802 162.702 * [simplify]: Simplified to (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) 162.702 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (* (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (pow (cbrt n) (/ (- 1 k) 2)))))) 162.702 * * * * [progress]: [ 28 / 417 ] simplifiying candidate # 162.702 * [simplify]: Simplifying (pow (sqrt n) (/ (- 1 k) 2)) 162.703 * * [simplify]: iters left: 5 (8 enodes) 162.705 * * [simplify]: iters left: 4 (35 enodes) 162.712 * * [simplify]: iters left: 3 (56 enodes) 162.730 * * [simplify]: iters left: 2 (89 enodes) 162.750 * * [simplify]: iters left: 1 (175 enodes) 162.800 * * [simplify]: Extracting #0: cost 1 inf + 0 162.801 * * [simplify]: Extracting #1: cost 13 inf + 0 162.801 * * [simplify]: Extracting #2: cost 53 inf + 1 162.801 * * [simplify]: Extracting #3: cost 83 inf + 47 162.802 * * [simplify]: Extracting #4: cost 66 inf + 2084 162.805 * * [simplify]: Extracting #5: cost 25 inf + 7926 162.807 * * [simplify]: Extracting #6: cost 3 inf + 20905 162.810 * * [simplify]: Extracting #7: cost 0 inf + 22641 162.813 * * [simplify]: Extracting #8: cost 0 inf + 22420 162.816 * [simplify]: Simplified to (pow (sqrt n) (/ (- 1 k) 2)) 162.816 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (* (pow (sqrt n) (/ (- 1 k) 2)) (pow (sqrt n) (/ (- 1 k) 2)))))) 162.817 * * * * [progress]: [ 29 / 417 ] simplifiying candidate # 162.817 * [simplify]: Simplifying (pow 1 (/ (- 1 k) 2)) 162.817 * * [simplify]: iters left: 5 (6 enodes) 162.819 * * [simplify]: iters left: 4 (24 enodes) 162.824 * * [simplify]: iters left: 3 (33 enodes) 162.829 * * [simplify]: Extracting #0: cost 1 inf + 0 162.829 * * [simplify]: Extracting #1: cost 0 inf + 1 162.829 * [simplify]: Simplified to 1 162.829 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (* 1 (pow n (/ (- 1 k) 2)))))) 162.829 * * * * [progress]: [ 30 / 417 ] simplifiying candidate # 162.829 * * * * [progress]: [ 31 / 417 ] simplifiying candidate # 162.829 * * * * [progress]: [ 32 / 417 ] simplifiying candidate # 162.829 * * * * [progress]: [ 33 / 417 ] simplifiying candidate # 162.829 * * * * [progress]: [ 34 / 417 ] simplifiying candidate # 162.829 * * * * [progress]: [ 35 / 417 ] simplifiying candidate # 162.829 * * * * [progress]: [ 36 / 417 ] simplifiying candidate # 162.829 * * * * [progress]: [ 37 / 417 ] simplifiying candidate # 162.829 * * * * [progress]: [ 38 / 417 ] simplifiying candidate #real (real->posit16 (pow n (/ (- 1 k) 2)))))))> 162.829 * * * * [progress]: [ 39 / 417 ] simplifiying candidate # 162.829 * * * * [progress]: [ 40 / 417 ] simplifiying candidate # 162.829 * [simplify]: Simplifying (- 1/2) 162.829 * * [simplify]: iters left: 2 (2 enodes) 162.831 * * [simplify]: iters left: 1 (7 enodes) 162.832 * * [simplify]: Extracting #0: cost 1 inf + 0 162.832 * * [simplify]: Extracting #1: cost 0 inf + 1 162.832 * [simplify]: Simplified to -1/2 162.832 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (pow k -1/2) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 162.833 * * * * [progress]: [ 41 / 417 ] simplifiying candidate # 162.833 * [simplify]: Simplifying (- 1) 162.833 * * [simplify]: iters left: 2 (2 enodes) 162.835 * * [simplify]: iters left: 1 (9 enodes) 162.838 * * [simplify]: Extracting #0: cost 1 inf + 0 162.838 * * [simplify]: Extracting #1: cost 0 inf + 1 162.838 * [simplify]: Simplified to -1 162.838 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (pow (sqrt k) -1) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 162.838 * * * * [progress]: [ 42 / 417 ] simplifiying candidate # 162.839 * [simplify]: Simplifying (- (/ 1 2)) 162.839 * * [simplify]: iters left: 4 (4 enodes) 162.844 * * [simplify]: iters left: 3 (19 enodes) 162.850 * * [simplify]: iters left: 2 (23 enodes) 162.858 * * [simplify]: Extracting #0: cost 1 inf + 0 162.858 * * [simplify]: Extracting #1: cost 0 inf + 1 162.858 * [simplify]: Simplified to -1/2 162.858 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (pow k -1/2) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 162.858 * * * * [progress]: [ 43 / 417 ] simplifiying candidate # 162.858 * * * * [progress]: [ 44 / 417 ] simplifiying candidate # 162.858 * * * * [progress]: [ 45 / 417 ] simplifiying candidate # 162.859 * [simplify]: Simplifying (- 0 (log (sqrt k))) 162.859 * * [simplify]: iters left: 4 (5 enodes) 162.862 * * [simplify]: iters left: 3 (17 enodes) 162.867 * * [simplify]: iters left: 2 (21 enodes) 162.873 * * [simplify]: iters left: 1 (23 enodes) 162.880 * * [simplify]: Extracting #0: cost 1 inf + 0 162.880 * * [simplify]: Extracting #1: cost 4 inf + 0 162.880 * * [simplify]: Extracting #2: cost 5 inf + 1 162.880 * * [simplify]: Extracting #3: cost 7 inf + 1 162.880 * * [simplify]: Extracting #4: cost 0 inf + 608 162.880 * [simplify]: Simplified to (- (log (sqrt k))) 162.880 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (exp (- (log (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 162.881 * * * * [progress]: [ 46 / 417 ] simplifiying candidate # 162.881 * [simplify]: Simplifying (- (log 1) (log (sqrt k))) 162.881 * * [simplify]: iters left: 4 (6 enodes) 162.888 * * [simplify]: iters left: 3 (22 enodes) 162.894 * * [simplify]: Extracting #0: cost 1 inf + 0 162.894 * * [simplify]: Extracting #1: cost 4 inf + 0 162.894 * * [simplify]: Extracting #2: cost 5 inf + 1 162.895 * * [simplify]: Extracting #3: cost 7 inf + 1 162.895 * * [simplify]: Extracting #4: cost 6 inf + 2 162.895 * * [simplify]: Extracting #5: cost 1 inf + 457 162.895 * * [simplify]: Extracting #6: cost 0 inf + 608 162.895 * [simplify]: Simplified to (- (log (sqrt k))) 162.895 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (exp (- (log (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 162.895 * * * * [progress]: [ 47 / 417 ] simplifiying candidate # 162.896 * * * * [progress]: [ 48 / 417 ] simplifiying candidate # 162.896 * * * * [progress]: [ 49 / 417 ] simplifiying candidate # 162.896 * [simplify]: Simplifying (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))) 162.896 * * [simplify]: iters left: 6 (8 enodes) 162.899 * * [simplify]: iters left: 5 (26 enodes) 162.903 * * [simplify]: iters left: 4 (43 enodes) 162.910 * * [simplify]: iters left: 3 (59 enodes) 162.919 * * [simplify]: iters left: 2 (67 enodes) 162.930 * * [simplify]: iters left: 1 (69 enodes) 162.940 * * [simplify]: Extracting #0: cost 1 inf + 0 162.940 * * [simplify]: Extracting #1: cost 14 inf + 0 162.940 * * [simplify]: Extracting #2: cost 18 inf + 2 162.940 * * [simplify]: Extracting #3: cost 7 inf + 701 162.941 * * [simplify]: Extracting #4: cost 0 inf + 1234 162.941 * [simplify]: Simplified to (/ (/ 1 k) (sqrt k)) 162.941 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (cbrt (/ (/ 1 k) (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 162.941 * * * * [progress]: [ 50 / 417 ] simplifiying candidate # 162.941 * * * * [progress]: [ 51 / 417 ] simplifiying candidate # 162.941 * * * * [progress]: [ 52 / 417 ] simplifiying candidate # 162.941 * * * * [progress]: [ 53 / 417 ] simplifiying candidate # 162.941 * * * * [progress]: [ 54 / 417 ] simplifiying candidate # 162.942 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 162.942 * * [simplify]: iters left: 6 (8 enodes) 162.944 * * [simplify]: iters left: 5 (32 enodes) 162.950 * * [simplify]: iters left: 4 (48 enodes) 162.959 * * [simplify]: iters left: 3 (76 enodes) 162.975 * * [simplify]: iters left: 2 (81 enodes) 162.990 * * [simplify]: Extracting #0: cost 1 inf + 0 162.990 * * [simplify]: Extracting #1: cost 6 inf + 0 162.990 * * [simplify]: Extracting #2: cost 9 inf + 1 162.990 * * [simplify]: Extracting #3: cost 11 inf + 1 162.991 * * [simplify]: Extracting #4: cost 2 inf + 1052 162.991 * * [simplify]: Extracting #5: cost 0 inf + 1376 162.992 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 162.992 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1) (cbrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 162.992 * [simplify]: Simplifying (/ (cbrt 1) (cbrt (sqrt k))) 162.992 * * [simplify]: iters left: 4 (6 enodes) 162.996 * * [simplify]: iters left: 3 (20 enodes) 163.002 * * [simplify]: iters left: 2 (22 enodes) 163.008 * * [simplify]: Extracting #0: cost 1 inf + 0 163.008 * * [simplify]: Extracting #1: cost 4 inf + 0 163.008 * * [simplify]: Extracting #2: cost 5 inf + 1 163.008 * * [simplify]: Extracting #3: cost 7 inf + 1 163.008 * * [simplify]: Extracting #4: cost 1 inf + 488 163.009 * * [simplify]: Extracting #5: cost 0 inf + 650 163.009 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 163.009 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 163.009 * * * * [progress]: [ 55 / 417 ] simplifiying candidate # 163.009 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) 163.010 * * [simplify]: iters left: 6 (8 enodes) 163.015 * * [simplify]: iters left: 5 (29 enodes) 163.024 * * [simplify]: iters left: 4 (31 enodes) 163.032 * * [simplify]: Extracting #0: cost 1 inf + 0 163.032 * * [simplify]: Extracting #1: cost 4 inf + 0 163.032 * * [simplify]: Extracting #2: cost 6 inf + 1 163.032 * * [simplify]: Extracting #3: cost 9 inf + 1 163.032 * * [simplify]: Extracting #4: cost 8 inf + 2 163.033 * * [simplify]: Extracting #5: cost 2 inf + 729 163.033 * * [simplify]: Extracting #6: cost 0 inf + 972 163.033 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 163.033 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ 1 (fabs (cbrt k))) (/ (cbrt 1) (sqrt (cbrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 163.034 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (cbrt k))) 163.034 * * [simplify]: iters left: 4 (6 enodes) 163.037 * * [simplify]: iters left: 3 (20 enodes) 163.043 * * [simplify]: iters left: 2 (22 enodes) 163.049 * * [simplify]: Extracting #0: cost 1 inf + 0 163.049 * * [simplify]: Extracting #1: cost 4 inf + 0 163.049 * * [simplify]: Extracting #2: cost 5 inf + 1 163.049 * * [simplify]: Extracting #3: cost 7 inf + 1 163.050 * * [simplify]: Extracting #4: cost 1 inf + 568 163.050 * * [simplify]: Extracting #5: cost 0 inf + 730 163.050 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 163.050 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 163.050 * * * * [progress]: [ 56 / 417 ] simplifiying candidate # 163.051 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 163.051 * * [simplify]: iters left: 5 (7 enodes) 163.054 * * [simplify]: iters left: 4 (25 enodes) 163.058 * * [simplify]: iters left: 3 (27 enodes) 163.062 * * [simplify]: Extracting #0: cost 1 inf + 0 163.062 * * [simplify]: Extracting #1: cost 4 inf + 0 163.062 * * [simplify]: Extracting #2: cost 5 inf + 1 163.062 * * [simplify]: Extracting #3: cost 7 inf + 1 163.062 * * [simplify]: Extracting #4: cost 6 inf + 2 163.062 * * [simplify]: Extracting #5: cost 2 inf + 368 163.062 * * [simplify]: Extracting #6: cost 0 inf + 490 163.062 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 163.062 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 163.062 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt k))) 163.062 * * [simplify]: iters left: 4 (6 enodes) 163.064 * * [simplify]: iters left: 3 (20 enodes) 163.067 * * [simplify]: iters left: 2 (22 enodes) 163.071 * * [simplify]: Extracting #0: cost 1 inf + 0 163.071 * * [simplify]: Extracting #1: cost 4 inf + 0 163.071 * * [simplify]: Extracting #2: cost 5 inf + 1 163.071 * * [simplify]: Extracting #3: cost 7 inf + 1 163.071 * * [simplify]: Extracting #4: cost 1 inf + 368 163.071 * * [simplify]: Extracting #5: cost 0 inf + 490 163.071 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 163.071 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 163.072 * * * * [progress]: [ 57 / 417 ] simplifiying candidate # 163.072 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) 163.072 * * [simplify]: iters left: 5 (5 enodes) 163.077 * * [simplify]: iters left: 4 (19 enodes) 163.080 * * [simplify]: iters left: 3 (21 enodes) 163.083 * * [simplify]: Extracting #0: cost 1 inf + 0 163.083 * * [simplify]: Extracting #1: cost 0 inf + 1 163.083 * [simplify]: Simplified to 1 163.083 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* 1 (/ (cbrt 1) (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 163.083 * [simplify]: Simplifying (/ (cbrt 1) (sqrt k)) 163.083 * * [simplify]: iters left: 3 (5 enodes) 163.086 * * [simplify]: iters left: 2 (17 enodes) 163.091 * * [simplify]: iters left: 1 (19 enodes) 163.096 * * [simplify]: Extracting #0: cost 1 inf + 0 163.096 * * [simplify]: Extracting #1: cost 4 inf + 0 163.097 * * [simplify]: Extracting #2: cost 5 inf + 1 163.097 * * [simplify]: Extracting #3: cost 0 inf + 248 163.097 * [simplify]: Simplified to (/ 1 (sqrt k)) 163.097 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* 1 (/ 1 (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 163.097 * * * * [progress]: [ 58 / 417 ] simplifiying candidate # 163.097 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 163.097 * * [simplify]: iters left: 5 (7 enodes) 163.102 * * [simplify]: iters left: 4 (25 enodes) 163.110 * * [simplify]: iters left: 3 (27 enodes) 163.119 * * [simplify]: Extracting #0: cost 1 inf + 0 163.119 * * [simplify]: Extracting #1: cost 4 inf + 0 163.119 * * [simplify]: Extracting #2: cost 5 inf + 1 163.119 * * [simplify]: Extracting #3: cost 7 inf + 1 163.119 * * [simplify]: Extracting #4: cost 6 inf + 2 163.119 * * [simplify]: Extracting #5: cost 2 inf + 368 163.119 * * [simplify]: Extracting #6: cost 0 inf + 490 163.120 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 163.120 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 163.120 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt k))) 163.120 * * [simplify]: iters left: 4 (6 enodes) 163.124 * * [simplify]: iters left: 3 (20 enodes) 163.130 * * [simplify]: iters left: 2 (22 enodes) 163.136 * * [simplify]: Extracting #0: cost 1 inf + 0 163.136 * * [simplify]: Extracting #1: cost 4 inf + 0 163.136 * * [simplify]: Extracting #2: cost 5 inf + 1 163.136 * * [simplify]: Extracting #3: cost 7 inf + 1 163.136 * * [simplify]: Extracting #4: cost 1 inf + 368 163.136 * * [simplify]: Extracting #5: cost 0 inf + 490 163.137 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 163.137 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 163.137 * * * * [progress]: [ 59 / 417 ] simplifiying candidate # 163.137 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) 1) 163.137 * * [simplify]: iters left: 5 (4 enodes) 163.143 * * [simplify]: iters left: 4 (14 enodes) 163.145 * * [simplify]: iters left: 3 (16 enodes) 163.146 * * [simplify]: Extracting #0: cost 1 inf + 0 163.147 * * [simplify]: Extracting #1: cost 0 inf + 1 163.147 * [simplify]: Simplified to 1 163.147 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* 1 (/ (cbrt 1) (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 163.147 * [simplify]: Simplifying (/ (cbrt 1) (sqrt k)) 163.147 * * [simplify]: iters left: 3 (5 enodes) 163.149 * * [simplify]: iters left: 2 (17 enodes) 163.152 * * [simplify]: iters left: 1 (19 enodes) 163.154 * * [simplify]: Extracting #0: cost 1 inf + 0 163.154 * * [simplify]: Extracting #1: cost 4 inf + 0 163.154 * * [simplify]: Extracting #2: cost 5 inf + 1 163.155 * * [simplify]: Extracting #3: cost 0 inf + 248 163.155 * [simplify]: Simplified to (/ 1 (sqrt k)) 163.155 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* 1 (/ 1 (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 163.155 * * * * [progress]: [ 60 / 417 ] simplifiying candidate # 163.155 * [simplify]: Simplifying (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 163.155 * * [simplify]: iters left: 6 (7 enodes) 163.157 * * [simplify]: iters left: 5 (25 enodes) 163.161 * * [simplify]: iters left: 4 (32 enodes) 163.166 * * [simplify]: iters left: 3 (34 enodes) 163.175 * * [simplify]: Extracting #0: cost 1 inf + 0 163.175 * * [simplify]: Extracting #1: cost 7 inf + 0 163.175 * * [simplify]: Extracting #2: cost 11 inf + 1 163.176 * * [simplify]: Extracting #3: cost 13 inf + 1 163.176 * * [simplify]: Extracting #4: cost 10 inf + 84 163.176 * * [simplify]: Extracting #5: cost 4 inf + 1014 163.176 * * [simplify]: Extracting #6: cost 1 inf + 1498 163.177 * * [simplify]: Extracting #7: cost 0 inf + 1700 163.177 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 163.177 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (sqrt 1) (cbrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 163.178 * [simplify]: Simplifying (/ (sqrt 1) (cbrt (sqrt k))) 163.178 * * [simplify]: iters left: 4 (6 enodes) 163.182 * * [simplify]: iters left: 3 (20 enodes) 163.187 * * [simplify]: iters left: 2 (22 enodes) 163.193 * * [simplify]: Extracting #0: cost 1 inf + 0 163.193 * * [simplify]: Extracting #1: cost 4 inf + 0 163.193 * * [simplify]: Extracting #2: cost 5 inf + 1 163.193 * * [simplify]: Extracting #3: cost 7 inf + 1 163.193 * * [simplify]: Extracting #4: cost 1 inf + 488 163.193 * * [simplify]: Extracting #5: cost 0 inf + 650 163.194 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 163.194 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 163.194 * * * * [progress]: [ 61 / 417 ] simplifiying candidate # 163.194 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) 163.195 * * [simplify]: iters left: 6 (7 enodes) 163.199 * * [simplify]: iters left: 5 (24 enodes) 163.206 * * [simplify]: iters left: 4 (26 enodes) 163.213 * * [simplify]: Extracting #0: cost 1 inf + 0 163.213 * * [simplify]: Extracting #1: cost 4 inf + 0 163.214 * * [simplify]: Extracting #2: cost 6 inf + 1 163.214 * * [simplify]: Extracting #3: cost 9 inf + 1 163.214 * * [simplify]: Extracting #4: cost 8 inf + 2 163.214 * * [simplify]: Extracting #5: cost 2 inf + 730 163.214 * * [simplify]: Extracting #6: cost 0 inf + 972 163.214 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 163.214 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ 1 (fabs (cbrt k))) (/ (sqrt 1) (sqrt (cbrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 163.215 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (cbrt k))) 163.215 * * [simplify]: iters left: 4 (6 enodes) 163.219 * * [simplify]: iters left: 3 (20 enodes) 163.224 * * [simplify]: iters left: 2 (22 enodes) 163.231 * * [simplify]: Extracting #0: cost 1 inf + 0 163.231 * * [simplify]: Extracting #1: cost 4 inf + 0 163.231 * * [simplify]: Extracting #2: cost 5 inf + 1 163.231 * * [simplify]: Extracting #3: cost 7 inf + 1 163.231 * * [simplify]: Extracting #4: cost 1 inf + 568 163.231 * * [simplify]: Extracting #5: cost 0 inf + 730 163.231 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 163.231 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 163.232 * * * * [progress]: [ 62 / 417 ] simplifiying candidate # 163.232 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 163.232 * * [simplify]: iters left: 4 (6 enodes) 163.236 * * [simplify]: iters left: 3 (20 enodes) 163.241 * * [simplify]: iters left: 2 (22 enodes) 163.247 * * [simplify]: Extracting #0: cost 1 inf + 0 163.248 * * [simplify]: Extracting #1: cost 4 inf + 0 163.248 * * [simplify]: Extracting #2: cost 5 inf + 1 163.248 * * [simplify]: Extracting #3: cost 7 inf + 1 163.248 * * [simplify]: Extracting #4: cost 1 inf + 368 163.248 * * [simplify]: Extracting #5: cost 0 inf + 490 163.248 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 163.248 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 163.249 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 163.249 * * [simplify]: iters left: 4 (6 enodes) 163.254 * * [simplify]: iters left: 3 (20 enodes) 163.260 * * [simplify]: iters left: 2 (22 enodes) 163.267 * * [simplify]: Extracting #0: cost 1 inf + 0 163.267 * * [simplify]: Extracting #1: cost 4 inf + 0 163.267 * * [simplify]: Extracting #2: cost 5 inf + 1 163.267 * * [simplify]: Extracting #3: cost 7 inf + 1 163.267 * * [simplify]: Extracting #4: cost 1 inf + 368 163.267 * * [simplify]: Extracting #5: cost 0 inf + 490 163.267 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 163.267 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 163.268 * * * * [progress]: [ 63 / 417 ] simplifiying candidate # 163.268 * [simplify]: Simplifying (/ (sqrt 1) (sqrt 1)) 163.268 * * [simplify]: iters left: 3 (3 enodes) 163.272 * * [simplify]: iters left: 2 (9 enodes) 163.274 * * [simplify]: iters left: 1 (11 enodes) 163.277 * * [simplify]: Extracting #0: cost 1 inf + 0 163.277 * * [simplify]: Extracting #1: cost 0 inf + 1 163.277 * [simplify]: Simplified to 1 163.277 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* 1 (/ (sqrt 1) (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 163.278 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k)) 163.278 * * [simplify]: iters left: 3 (5 enodes) 163.282 * * [simplify]: iters left: 2 (17 enodes) 163.287 * * [simplify]: iters left: 1 (19 enodes) 163.291 * * [simplify]: Extracting #0: cost 1 inf + 0 163.291 * * [simplify]: Extracting #1: cost 4 inf + 0 163.291 * * [simplify]: Extracting #2: cost 5 inf + 1 163.291 * * [simplify]: Extracting #3: cost 0 inf + 248 163.291 * [simplify]: Simplified to (/ 1 (sqrt k)) 163.291 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* 1 (/ 1 (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 163.291 * * * * [progress]: [ 64 / 417 ] simplifiying candidate # 163.291 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 163.291 * * [simplify]: iters left: 4 (6 enodes) 163.293 * * [simplify]: iters left: 3 (20 enodes) 163.297 * * [simplify]: iters left: 2 (22 enodes) 163.300 * * [simplify]: Extracting #0: cost 1 inf + 0 163.301 * * [simplify]: Extracting #1: cost 4 inf + 0 163.301 * * [simplify]: Extracting #2: cost 5 inf + 1 163.301 * * [simplify]: Extracting #3: cost 7 inf + 1 163.301 * * [simplify]: Extracting #4: cost 1 inf + 368 163.301 * * [simplify]: Extracting #5: cost 0 inf + 490 163.301 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 163.301 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 163.301 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 163.301 * * [simplify]: iters left: 4 (6 enodes) 163.303 * * [simplify]: iters left: 3 (20 enodes) 163.307 * * [simplify]: iters left: 2 (22 enodes) 163.310 * * [simplify]: Extracting #0: cost 1 inf + 0 163.310 * * [simplify]: Extracting #1: cost 4 inf + 0 163.310 * * [simplify]: Extracting #2: cost 5 inf + 1 163.310 * * [simplify]: Extracting #3: cost 7 inf + 1 163.310 * * [simplify]: Extracting #4: cost 1 inf + 368 163.310 * * [simplify]: Extracting #5: cost 0 inf + 490 163.311 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 163.311 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 163.311 * * * * [progress]: [ 65 / 417 ] simplifiying candidate # 163.311 * [simplify]: Simplifying (/ (sqrt 1) 1) 163.311 * * [simplify]: iters left: 3 (3 enodes) 163.313 * * [simplify]: iters left: 2 (9 enodes) 163.315 * * [simplify]: iters left: 1 (11 enodes) 163.317 * * [simplify]: Extracting #0: cost 1 inf + 0 163.317 * * [simplify]: Extracting #1: cost 0 inf + 1 163.317 * [simplify]: Simplified to 1 163.317 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* 1 (/ (sqrt 1) (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 163.317 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k)) 163.317 * * [simplify]: iters left: 3 (5 enodes) 163.322 * * [simplify]: iters left: 2 (17 enodes) 163.327 * * [simplify]: iters left: 1 (19 enodes) 163.332 * * [simplify]: Extracting #0: cost 1 inf + 0 163.332 * * [simplify]: Extracting #1: cost 4 inf + 0 163.332 * * [simplify]: Extracting #2: cost 5 inf + 1 163.332 * * [simplify]: Extracting #3: cost 0 inf + 248 163.332 * [simplify]: Simplified to (/ 1 (sqrt k)) 163.333 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* 1 (/ 1 (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 163.333 * * * * [progress]: [ 66 / 417 ] simplifiying candidate # 163.333 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 163.333 * * [simplify]: iters left: 6 (6 enodes) 163.336 * * [simplify]: iters left: 5 (22 enodes) 163.343 * * [simplify]: iters left: 4 (26 enodes) 163.351 * * [simplify]: Extracting #0: cost 1 inf + 0 163.351 * * [simplify]: Extracting #1: cost 6 inf + 0 163.351 * * [simplify]: Extracting #2: cost 9 inf + 1 163.351 * * [simplify]: Extracting #3: cost 11 inf + 1 163.351 * * [simplify]: Extracting #4: cost 8 inf + 84 163.352 * * [simplify]: Extracting #5: cost 2 inf + 1013 163.352 * * [simplify]: Extracting #6: cost 0 inf + 1376 163.352 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 163.352 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 163.353 * [simplify]: Simplifying (/ 1 (cbrt (sqrt k))) 163.353 * * [simplify]: iters left: 4 (5 enodes) 163.355 * * [simplify]: iters left: 3 (17 enodes) 163.361 * * [simplify]: iters left: 2 (19 enodes) 163.366 * * [simplify]: Extracting #0: cost 1 inf + 0 163.366 * * [simplify]: Extracting #1: cost 4 inf + 0 163.367 * * [simplify]: Extracting #2: cost 5 inf + 1 163.367 * * [simplify]: Extracting #3: cost 7 inf + 1 163.367 * * [simplify]: Extracting #4: cost 0 inf + 650 163.367 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 163.367 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 163.367 * * * * [progress]: [ 67 / 417 ] simplifiying candidate # 163.368 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt k) (cbrt k)))) 163.368 * * [simplify]: iters left: 6 (6 enodes) 163.371 * * [simplify]: iters left: 5 (21 enodes) 163.377 * * [simplify]: iters left: 4 (23 enodes) 163.384 * * [simplify]: Extracting #0: cost 1 inf + 0 163.384 * * [simplify]: Extracting #1: cost 4 inf + 0 163.384 * * [simplify]: Extracting #2: cost 6 inf + 1 163.384 * * [simplify]: Extracting #3: cost 9 inf + 1 163.384 * * [simplify]: Extracting #4: cost 8 inf + 2 163.384 * * [simplify]: Extracting #5: cost 1 inf + 810 163.384 * * [simplify]: Extracting #6: cost 0 inf + 972 163.385 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 163.385 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 163.385 * [simplify]: Simplifying (/ 1 (sqrt (cbrt k))) 163.385 * * [simplify]: iters left: 4 (5 enodes) 163.388 * * [simplify]: iters left: 3 (17 enodes) 163.394 * * [simplify]: iters left: 2 (19 enodes) 163.402 * * [simplify]: Extracting #0: cost 1 inf + 0 163.402 * * [simplify]: Extracting #1: cost 4 inf + 0 163.402 * * [simplify]: Extracting #2: cost 5 inf + 1 163.402 * * [simplify]: Extracting #3: cost 7 inf + 1 163.402 * * [simplify]: Extracting #4: cost 0 inf + 730 163.402 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 163.402 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 163.403 * * * * [progress]: [ 68 / 417 ] simplifiying candidate # 163.403 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 163.403 * * [simplify]: iters left: 4 (5 enodes) 163.405 * * [simplify]: iters left: 3 (17 enodes) 163.411 * * [simplify]: iters left: 2 (19 enodes) 163.414 * * [simplify]: Extracting #0: cost 1 inf + 0 163.414 * * [simplify]: Extracting #1: cost 4 inf + 0 163.414 * * [simplify]: Extracting #2: cost 5 inf + 1 163.414 * * [simplify]: Extracting #3: cost 7 inf + 1 163.415 * * [simplify]: Extracting #4: cost 0 inf + 490 163.415 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 163.415 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 163.415 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 163.415 * * [simplify]: iters left: 4 (5 enodes) 163.416 * * [simplify]: iters left: 3 (17 enodes) 163.419 * * [simplify]: iters left: 2 (19 enodes) 163.422 * * [simplify]: Extracting #0: cost 1 inf + 0 163.422 * * [simplify]: Extracting #1: cost 4 inf + 0 163.422 * * [simplify]: Extracting #2: cost 5 inf + 1 163.422 * * [simplify]: Extracting #3: cost 7 inf + 1 163.422 * * [simplify]: Extracting #4: cost 0 inf + 490 163.423 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 163.423 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 163.423 * * * * [progress]: [ 69 / 417 ] simplifiying candidate # 163.423 * [simplify]: Simplifying (/ 1 (sqrt 1)) 163.423 * * [simplify]: iters left: 3 (3 enodes) 163.427 * * [simplify]: iters left: 2 (11 enodes) 163.429 * * [simplify]: iters left: 1 (13 enodes) 163.430 * * [simplify]: Extracting #0: cost 1 inf + 0 163.430 * * [simplify]: Extracting #1: cost 0 inf + 1 163.431 * [simplify]: Simplified to 1 163.431 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* 1 (/ 1 (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 163.431 * [simplify]: Simplifying (/ 1 (sqrt k)) 163.431 * * [simplify]: iters left: 3 (4 enodes) 163.432 * * [simplify]: iters left: 2 (14 enodes) 163.434 * * [simplify]: iters left: 1 (16 enodes) 163.437 * * [simplify]: Extracting #0: cost 1 inf + 0 163.437 * * [simplify]: Extracting #1: cost 4 inf + 0 163.437 * * [simplify]: Extracting #2: cost 5 inf + 1 163.437 * * [simplify]: Extracting #3: cost 3 inf + 43 163.437 * * [simplify]: Extracting #4: cost 1 inf + 166 163.437 * * [simplify]: Extracting #5: cost 0 inf + 248 163.437 * [simplify]: Simplified to (/ 1 (sqrt k)) 163.437 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* 1 (/ 1 (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 163.437 * * * * [progress]: [ 70 / 417 ] simplifiying candidate # 163.437 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 163.437 * * [simplify]: iters left: 4 (5 enodes) 163.439 * * [simplify]: iters left: 3 (17 enodes) 163.441 * * [simplify]: iters left: 2 (19 enodes) 163.444 * * [simplify]: Extracting #0: cost 1 inf + 0 163.444 * * [simplify]: Extracting #1: cost 4 inf + 0 163.444 * * [simplify]: Extracting #2: cost 5 inf + 1 163.444 * * [simplify]: Extracting #3: cost 7 inf + 1 163.444 * * [simplify]: Extracting #4: cost 0 inf + 490 163.445 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 163.445 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 163.445 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 163.445 * * [simplify]: iters left: 4 (5 enodes) 163.448 * * [simplify]: iters left: 3 (17 enodes) 163.453 * * [simplify]: iters left: 2 (19 enodes) 163.458 * * [simplify]: Extracting #0: cost 1 inf + 0 163.458 * * [simplify]: Extracting #1: cost 4 inf + 0 163.458 * * [simplify]: Extracting #2: cost 5 inf + 1 163.458 * * [simplify]: Extracting #3: cost 7 inf + 1 163.459 * * [simplify]: Extracting #4: cost 0 inf + 490 163.459 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 163.459 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 163.459 * * * * [progress]: [ 71 / 417 ] simplifiying candidate # 163.459 * [simplify]: Simplifying (/ 1 1) 163.459 * * [simplify]: iters left: 2 (2 enodes) 163.461 * * [simplify]: iters left: 1 (6 enodes) 163.463 * * [simplify]: Extracting #0: cost 1 inf + 0 163.463 * * [simplify]: Extracting #1: cost 0 inf + 1 163.463 * [simplify]: Simplified to 1 163.463 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* 1 (/ 1 (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 163.463 * [simplify]: Simplifying (/ 1 (sqrt k)) 163.463 * * [simplify]: iters left: 3 (4 enodes) 163.465 * * [simplify]: iters left: 2 (14 enodes) 163.470 * * [simplify]: iters left: 1 (16 enodes) 163.475 * * [simplify]: Extracting #0: cost 1 inf + 0 163.475 * * [simplify]: Extracting #1: cost 4 inf + 0 163.475 * * [simplify]: Extracting #2: cost 5 inf + 1 163.475 * * [simplify]: Extracting #3: cost 3 inf + 43 163.475 * * [simplify]: Extracting #4: cost 1 inf + 166 163.475 * * [simplify]: Extracting #5: cost 0 inf + 248 163.475 * [simplify]: Simplified to (/ 1 (sqrt k)) 163.475 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* 1 (/ 1 (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 163.476 * * * * [progress]: [ 72 / 417 ] simplifiying candidate # 163.476 * * * * [progress]: [ 73 / 417 ] simplifiying candidate # 163.476 * * * * [progress]: [ 74 / 417 ] simplifiying candidate # 163.476 * * * * [progress]: [ 75 / 417 ] simplifiying candidate # 163.476 * [simplify]: Simplifying (cbrt (sqrt k)) 163.476 * * [simplify]: iters left: 2 (3 enodes) 163.477 * * [simplify]: iters left: 1 (9 enodes) 163.480 * * [simplify]: Extracting #0: cost 1 inf + 0 163.480 * * [simplify]: Extracting #1: cost 3 inf + 0 163.480 * * [simplify]: Extracting #2: cost 5 inf + 0 163.480 * * [simplify]: Extracting #3: cost 4 inf + 1 163.480 * * [simplify]: Extracting #4: cost 0 inf + 325 163.480 * [simplify]: Simplified to (cbrt (sqrt k)) 163.480 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 163.480 * * * * [progress]: [ 76 / 417 ] simplifiying candidate # 163.481 * [simplify]: Simplifying (sqrt (cbrt k)) 163.481 * * [simplify]: iters left: 2 (3 enodes) 163.482 * * [simplify]: iters left: 1 (9 enodes) 163.484 * * [simplify]: Extracting #0: cost 1 inf + 0 163.484 * * [simplify]: Extracting #1: cost 3 inf + 0 163.484 * * [simplify]: Extracting #2: cost 5 inf + 0 163.484 * * [simplify]: Extracting #3: cost 4 inf + 1 163.484 * * [simplify]: Extracting #4: cost 0 inf + 405 163.485 * [simplify]: Simplified to (sqrt (cbrt k)) 163.485 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 163.485 * * * * [progress]: [ 77 / 417 ] simplifiying candidate # 163.485 * [simplify]: Simplifying (sqrt (sqrt k)) 163.485 * * [simplify]: iters left: 2 (3 enodes) 163.486 * * [simplify]: iters left: 1 (9 enodes) 163.489 * * [simplify]: Extracting #0: cost 1 inf + 0 163.489 * * [simplify]: Extracting #1: cost 3 inf + 0 163.489 * * [simplify]: Extracting #2: cost 5 inf + 0 163.489 * * [simplify]: Extracting #3: cost 4 inf + 1 163.489 * * [simplify]: Extracting #4: cost 0 inf + 245 163.489 * [simplify]: Simplified to (sqrt (sqrt k)) 163.489 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 163.489 * * * * [progress]: [ 78 / 417 ] simplifiying candidate # 163.490 * [simplify]: Simplifying (sqrt k) 163.490 * * [simplify]: iters left: 1 (2 enodes) 163.490 * * [simplify]: Extracting #0: cost 1 inf + 0 163.490 * * [simplify]: Extracting #1: cost 3 inf + 0 163.491 * * [simplify]: Extracting #2: cost 2 inf + 1 163.491 * * [simplify]: Extracting #3: cost 0 inf + 83 163.491 * [simplify]: Simplified to (sqrt k) 163.491 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (/ (/ 1 (sqrt 1)) (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 163.491 * * * * [progress]: [ 79 / 417 ] simplifiying candidate # 163.491 * [simplify]: Simplifying (sqrt (sqrt k)) 163.491 * * [simplify]: iters left: 2 (3 enodes) 163.493 * * [simplify]: iters left: 1 (9 enodes) 163.495 * * [simplify]: Extracting #0: cost 1 inf + 0 163.495 * * [simplify]: Extracting #1: cost 3 inf + 0 163.495 * * [simplify]: Extracting #2: cost 5 inf + 0 163.496 * * [simplify]: Extracting #3: cost 4 inf + 1 163.496 * * [simplify]: Extracting #4: cost 0 inf + 245 163.496 * [simplify]: Simplified to (sqrt (sqrt k)) 163.496 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 163.496 * * * * [progress]: [ 80 / 417 ] simplifiying candidate # 163.496 * [simplify]: Simplifying (sqrt k) 163.496 * * [simplify]: iters left: 1 (2 enodes) 163.497 * * [simplify]: Extracting #0: cost 1 inf + 0 163.497 * * [simplify]: Extracting #1: cost 3 inf + 0 163.497 * * [simplify]: Extracting #2: cost 2 inf + 1 163.497 * * [simplify]: Extracting #3: cost 0 inf + 83 163.497 * [simplify]: Simplified to (sqrt k) 163.497 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (/ (/ 1 1) (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 163.498 * * * * [progress]: [ 81 / 417 ] simplifiying candidate # 163.498 * [simplify]: Simplifying (* (cbrt 1) (cbrt 1)) 163.498 * * [simplify]: iters left: 3 (3 enodes) 163.504 * * [simplify]: iters left: 2 (11 enodes) 163.507 * * [simplify]: iters left: 1 (13 enodes) 163.510 * * [simplify]: Extracting #0: cost 1 inf + 0 163.510 * * [simplify]: Extracting #1: cost 0 inf + 1 163.510 * [simplify]: Simplified to 1 163.511 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (/ 1 (/ (sqrt k) (cbrt 1))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 163.511 * * * * [progress]: [ 82 / 417 ] simplifiying candidate # 163.511 * [simplify]: Simplifying (sqrt 1) 163.511 * * [simplify]: iters left: 1 (2 enodes) 163.514 * * [simplify]: Extracting #0: cost 1 inf + 0 163.514 * * [simplify]: Extracting #1: cost 0 inf + 1 163.514 * [simplify]: Simplified to 1 163.514 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (/ 1 (/ (sqrt k) (sqrt 1))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 163.514 * * * * [progress]: [ 83 / 417 ] simplifiying candidate # 163.514 * * * * [progress]: [ 84 / 417 ] simplifiying candidate #real (real->posit16 (/ 1 (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2)))))> 163.514 * * * * [progress]: [ 85 / 417 ] simplifiying candidate # 163.515 * [simplify]: Simplifying (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2)))) 163.515 * * [simplify]: iters left: 6 (16 enodes) 163.524 * * [simplify]: iters left: 5 (74 enodes) 163.554 * * [simplify]: iters left: 4 (161 enodes) 163.624 * * [simplify]: Extracting #0: cost 1 inf + 0 163.624 * * [simplify]: Extracting #1: cost 44 inf + 0 163.625 * * [simplify]: Extracting #2: cost 132 inf + 1 163.626 * * [simplify]: Extracting #3: cost 151 inf + 331 163.627 * * [simplify]: Extracting #4: cost 139 inf + 1288 163.631 * * [simplify]: Extracting #5: cost 91 inf + 16714 163.646 * * [simplify]: Extracting #6: cost 15 inf + 66409 163.656 * * [simplify]: Extracting #7: cost 0 inf + 78333 163.667 * * [simplify]: Extracting #8: cost 0 inf + 77999 163.677 * * [simplify]: Extracting #9: cost 0 inf + 77998 163.690 * [simplify]: Simplified to (/ (* (* (pow n (/ (- 1 k) 4)) (pow (* 2 PI) (/ (- 1 k) 4))) (* (pow n (/ (- 1 k) 4)) (pow (* 2 PI) (/ (- 1 k) 4)))) (sqrt k)) 163.690 * [simplify]: Simplified (2 1) to (λ (k n) (pow (/ (* (* (pow n (/ (- 1 k) 4)) (pow (* 2 PI) (/ (- 1 k) 4))) (* (pow n (/ (- 1 k) 4)) (pow (* 2 PI) (/ (- 1 k) 4)))) (sqrt k)) 1)) 163.690 * * * * [progress]: [ 86 / 417 ] simplifiying candidate # 163.690 * * * * [progress]: [ 87 / 417 ] simplifiying candidate # 163.690 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 163.690 * * [simplify]: iters left: 6 (20 enodes) 163.696 * * [simplify]: iters left: 5 (85 enodes) 163.711 * * [simplify]: iters left: 4 (151 enodes) 163.769 * * [simplify]: iters left: 3 (356 enodes) 163.908 * * [simplify]: Extracting #0: cost 1 inf + 0 163.908 * * [simplify]: Extracting #1: cost 60 inf + 0 163.909 * * [simplify]: Extracting #2: cost 267 inf + 0 163.911 * * [simplify]: Extracting #3: cost 308 inf + 297 163.915 * * [simplify]: Extracting #4: cost 272 inf + 7165 163.932 * * [simplify]: Extracting #5: cost 154 inf + 39319 163.955 * * [simplify]: Extracting #6: cost 79 inf + 67393 163.993 * * [simplify]: Extracting #7: cost 10 inf + 105962 164.034 * * [simplify]: Extracting #8: cost 0 inf + 111676 164.055 * [simplify]: Simplified to (+ (+ (* (/ (- 1 k) 4) (+ (log 2) (log PI))) (- (* (/ (- 1 k) 4) (+ (log 2) (log PI))) (log (sqrt k)))) (/ (- 1 k) (/ 2 (log n)))) 164.055 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (* (/ (- 1 k) 4) (+ (log 2) (log PI))) (- (* (/ (- 1 k) 4) (+ (log 2) (log PI))) (log (sqrt k)))) (/ (- 1 k) (/ 2 (log n)))))) 164.056 * * * * [progress]: [ 88 / 417 ] simplifiying candidate # 164.056 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 164.056 * * [simplify]: iters left: 6 (20 enodes) 164.064 * * [simplify]: iters left: 5 (85 enodes) 164.092 * * [simplify]: iters left: 4 (151 enodes) 164.158 * * [simplify]: iters left: 3 (356 enodes) 164.320 * * [simplify]: Extracting #0: cost 1 inf + 0 164.320 * * [simplify]: Extracting #1: cost 60 inf + 0 164.322 * * [simplify]: Extracting #2: cost 267 inf + 0 164.324 * * [simplify]: Extracting #3: cost 308 inf + 297 164.327 * * [simplify]: Extracting #4: cost 272 inf + 7165 164.339 * * [simplify]: Extracting #5: cost 154 inf + 39319 164.359 * * [simplify]: Extracting #6: cost 79 inf + 67393 164.378 * * [simplify]: Extracting #7: cost 10 inf + 105962 164.413 * * [simplify]: Extracting #8: cost 0 inf + 111676 164.454 * [simplify]: Simplified to (+ (+ (* (/ (- 1 k) 4) (+ (log 2) (log PI))) (- (* (/ (- 1 k) 4) (+ (log 2) (log PI))) (log (sqrt k)))) (/ (- 1 k) (/ 2 (log n)))) 164.454 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (* (/ (- 1 k) 4) (+ (log 2) (log PI))) (- (* (/ (- 1 k) 4) (+ (log 2) (log PI))) (log (sqrt k)))) (/ (- 1 k) (/ 2 (log n)))))) 164.454 * * * * [progress]: [ 89 / 417 ] simplifiying candidate # 164.455 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 164.455 * * [simplify]: iters left: 6 (20 enodes) 164.466 * * [simplify]: iters left: 5 (86 enodes) 164.495 * * [simplify]: iters left: 4 (154 enodes) 164.566 * * [simplify]: iters left: 3 (401 enodes) 164.748 * * [simplify]: Extracting #0: cost 1 inf + 0 164.749 * * [simplify]: Extracting #1: cost 70 inf + 0 164.750 * * [simplify]: Extracting #2: cost 346 inf + 0 164.753 * * [simplify]: Extracting #3: cost 412 inf + 296 164.760 * * [simplify]: Extracting #4: cost 302 inf + 41374 164.783 * * [simplify]: Extracting #5: cost 40 inf + 144912 164.820 * * [simplify]: Extracting #6: cost 0 inf + 157984 164.871 * * [simplify]: Extracting #7: cost 0 inf + 157474 164.910 * [simplify]: Simplified to (- (+ (* (/ (- 1 k) 4) (+ (+ (log 2) (log PI)) (log n))) (* (/ (- 1 k) 4) (+ (+ (log 2) (log PI)) (log n)))) (log (sqrt k))) 164.910 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (/ (- 1 k) 4) (+ (+ (log 2) (log PI)) (log n))) (* (/ (- 1 k) 4) (+ (+ (log 2) (log PI)) (log n)))) (log (sqrt k))))) 164.911 * * * * [progress]: [ 90 / 417 ] simplifiying candidate # 164.911 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 164.911 * * [simplify]: iters left: 6 (23 enodes) 164.917 * * [simplify]: iters left: 5 (94 enodes) 164.934 * * [simplify]: iters left: 4 (170 enodes) 164.978 * * [simplify]: iters left: 3 (373 enodes) 165.088 * * [simplify]: Extracting #0: cost 1 inf + 0 165.088 * * [simplify]: Extracting #1: cost 63 inf + 0 165.090 * * [simplify]: Extracting #2: cost 275 inf + 0 165.092 * * [simplify]: Extracting #3: cost 319 inf + 74 165.097 * * [simplify]: Extracting #4: cost 271 inf + 12247 165.116 * * [simplify]: Extracting #5: cost 128 inf + 52887 165.150 * * [simplify]: Extracting #6: cost 30 inf + 96528 165.192 * * [simplify]: Extracting #7: cost 0 inf + 112636 165.222 * * [simplify]: Extracting #8: cost 0 inf + 112402 165.247 * [simplify]: Simplified to (+ (- (* (log n) (/ (- 1 k) 2)) (log (sqrt k))) (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (log (* PI 2)))) 165.247 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (log n) (/ (- 1 k) 2)) (log (sqrt k))) (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (log (* PI 2)))))) 165.248 * * * * [progress]: [ 91 / 417 ] simplifiying candidate # 165.248 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 165.248 * * [simplify]: iters left: 6 (23 enodes) 165.261 * * [simplify]: iters left: 5 (94 enodes) 165.290 * * [simplify]: iters left: 4 (170 enodes) 165.338 * * [simplify]: iters left: 3 (373 enodes) 165.494 * * [simplify]: Extracting #0: cost 1 inf + 0 165.494 * * [simplify]: Extracting #1: cost 63 inf + 0 165.495 * * [simplify]: Extracting #2: cost 275 inf + 0 165.498 * * [simplify]: Extracting #3: cost 319 inf + 74 165.502 * * [simplify]: Extracting #4: cost 271 inf + 12247 165.518 * * [simplify]: Extracting #5: cost 128 inf + 52887 165.552 * * [simplify]: Extracting #6: cost 30 inf + 96528 165.582 * * [simplify]: Extracting #7: cost 0 inf + 112636 165.618 * * [simplify]: Extracting #8: cost 0 inf + 112402 165.659 * [simplify]: Simplified to (+ (- (* (log n) (/ (- 1 k) 2)) (log (sqrt k))) (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (log (* PI 2)))) 165.659 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (log n) (/ (- 1 k) 2)) (log (sqrt k))) (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (log (* PI 2)))))) 165.659 * * * * [progress]: [ 92 / 417 ] simplifiying candidate # 165.659 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 165.659 * * [simplify]: iters left: 6 (23 enodes) 165.666 * * [simplify]: iters left: 5 (95 enodes) 165.682 * * [simplify]: iters left: 4 (166 enodes) 165.733 * * [simplify]: iters left: 3 (410 enodes) 165.910 * * [simplify]: Extracting #0: cost 1 inf + 0 165.911 * * [simplify]: Extracting #1: cost 61 inf + 0 165.911 * * [simplify]: Extracting #2: cost 326 inf + 0 165.913 * * [simplify]: Extracting #3: cost 401 inf + 184 165.916 * * [simplify]: Extracting #4: cost 332 inf + 15321 165.934 * * [simplify]: Extracting #5: cost 106 inf + 94025 165.987 * * [simplify]: Extracting #6: cost 4 inf + 144368 166.014 * * [simplify]: Extracting #7: cost 0 inf + 145476 166.060 * * [simplify]: Extracting #8: cost 0 inf + 145436 166.113 * [simplify]: Simplified to (- (+ (* (/ (- 1 k) 4) (+ (log (* PI 2)) (log n))) (* (/ (- 1 k) 4) (+ (log (* PI 2)) (log n)))) (log (sqrt k))) 166.114 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (/ (- 1 k) 4) (+ (log (* PI 2)) (log n))) (* (/ (- 1 k) 4) (+ (log (* PI 2)) (log n)))) (log (sqrt k))))) 166.114 * * * * [progress]: [ 93 / 417 ] simplifiying candidate # 166.114 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 166.115 * * [simplify]: iters left: 6 (23 enodes) 166.124 * * [simplify]: iters left: 5 (94 enodes) 166.140 * * [simplify]: iters left: 4 (170 enodes) 166.183 * * [simplify]: iters left: 3 (373 enodes) 166.292 * * [simplify]: Extracting #0: cost 1 inf + 0 166.293 * * [simplify]: Extracting #1: cost 63 inf + 0 166.293 * * [simplify]: Extracting #2: cost 275 inf + 0 166.294 * * [simplify]: Extracting #3: cost 319 inf + 74 166.297 * * [simplify]: Extracting #4: cost 271 inf + 12247 166.305 * * [simplify]: Extracting #5: cost 128 inf + 52887 166.324 * * [simplify]: Extracting #6: cost 30 inf + 96528 166.369 * * [simplify]: Extracting #7: cost 0 inf + 112636 166.402 * * [simplify]: Extracting #8: cost 0 inf + 112402 166.426 * [simplify]: Simplified to (+ (- (* (log n) (/ (- 1 k) 2)) (log (sqrt k))) (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (log (* PI 2)))) 166.426 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (log n) (/ (- 1 k) 2)) (log (sqrt k))) (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (log (* PI 2)))))) 166.426 * * * * [progress]: [ 94 / 417 ] simplifiying candidate # 166.426 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 166.427 * * [simplify]: iters left: 6 (23 enodes) 166.439 * * [simplify]: iters left: 5 (94 enodes) 166.470 * * [simplify]: iters left: 4 (170 enodes) 166.539 * * [simplify]: iters left: 3 (373 enodes) 166.677 * * [simplify]: Extracting #0: cost 1 inf + 0 166.677 * * [simplify]: Extracting #1: cost 63 inf + 0 166.678 * * [simplify]: Extracting #2: cost 275 inf + 0 166.679 * * [simplify]: Extracting #3: cost 319 inf + 74 166.685 * * [simplify]: Extracting #4: cost 271 inf + 12247 166.695 * * [simplify]: Extracting #5: cost 128 inf + 52887 166.713 * * [simplify]: Extracting #6: cost 30 inf + 96528 166.744 * * [simplify]: Extracting #7: cost 0 inf + 112636 166.765 * * [simplify]: Extracting #8: cost 0 inf + 112402 166.796 * [simplify]: Simplified to (+ (- (* (log n) (/ (- 1 k) 2)) (log (sqrt k))) (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (log (* PI 2)))) 166.796 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (log n) (/ (- 1 k) 2)) (log (sqrt k))) (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (log (* PI 2)))))) 166.796 * * * * [progress]: [ 95 / 417 ] simplifiying candidate # 166.796 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 166.797 * * [simplify]: iters left: 6 (23 enodes) 166.803 * * [simplify]: iters left: 5 (95 enodes) 166.820 * * [simplify]: iters left: 4 (166 enodes) 166.873 * * [simplify]: iters left: 3 (410 enodes) 167.071 * * [simplify]: Extracting #0: cost 1 inf + 0 167.071 * * [simplify]: Extracting #1: cost 61 inf + 0 167.073 * * [simplify]: Extracting #2: cost 326 inf + 0 167.076 * * [simplify]: Extracting #3: cost 401 inf + 184 167.082 * * [simplify]: Extracting #4: cost 332 inf + 15321 167.114 * * [simplify]: Extracting #5: cost 106 inf + 94025 167.164 * * [simplify]: Extracting #6: cost 4 inf + 144368 167.217 * * [simplify]: Extracting #7: cost 0 inf + 145476 167.254 * * [simplify]: Extracting #8: cost 0 inf + 145436 167.296 * [simplify]: Simplified to (- (+ (* (/ (- 1 k) 4) (+ (log (* PI 2)) (log n))) (* (/ (- 1 k) 4) (+ (log (* PI 2)) (log n)))) (log (sqrt k))) 167.297 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (/ (- 1 k) 4) (+ (log (* PI 2)) (log n))) (* (/ (- 1 k) 4) (+ (log (* PI 2)) (log n)))) (log (sqrt k))))) 167.297 * * * * [progress]: [ 96 / 417 ] simplifiying candidate # 167.297 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2)))) 167.297 * * [simplify]: iters left: 6 (23 enodes) 167.310 * * [simplify]: iters left: 5 (100 enodes) 167.345 * * [simplify]: iters left: 4 (187 enodes) 167.406 * * [simplify]: iters left: 3 (459 enodes) 167.667 * * [simplify]: Extracting #0: cost 1 inf + 0 167.667 * * [simplify]: Extracting #1: cost 71 inf + 0 167.669 * * [simplify]: Extracting #2: cost 380 inf + 0 167.673 * * [simplify]: Extracting #3: cost 465 inf + 185 167.680 * * [simplify]: Extracting #4: cost 399 inf + 17258 167.717 * * [simplify]: Extracting #5: cost 159 inf + 99769 167.776 * * [simplify]: Extracting #6: cost 23 inf + 166526 167.843 * * [simplify]: Extracting #7: cost 0 inf + 176920 167.882 * [simplify]: Simplified to (+ (+ (- (/ (log (* PI 2)) (/ 4 (- 1 k))) (log (sqrt k))) (* (log n) (/ (- 1 k) 2))) (/ (log (* PI 2)) (/ 4 (- 1 k)))) 167.882 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (- (/ (log (* PI 2)) (/ 4 (- 1 k))) (log (sqrt k))) (* (log n) (/ (- 1 k) 2))) (/ (log (* PI 2)) (/ 4 (- 1 k)))))) 167.883 * * * * [progress]: [ 97 / 417 ] simplifiying candidate # 167.883 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2)))) 167.883 * * [simplify]: iters left: 6 (23 enodes) 167.893 * * [simplify]: iters left: 5 (100 enodes) 167.911 * * [simplify]: iters left: 4 (187 enodes) 167.973 * * [simplify]: iters left: 3 (459 enodes) 168.174 * * [simplify]: Extracting #0: cost 1 inf + 0 168.174 * * [simplify]: Extracting #1: cost 71 inf + 0 168.176 * * [simplify]: Extracting #2: cost 380 inf + 0 168.179 * * [simplify]: Extracting #3: cost 465 inf + 185 168.186 * * [simplify]: Extracting #4: cost 399 inf + 17258 168.206 * * [simplify]: Extracting #5: cost 159 inf + 99769 168.245 * * [simplify]: Extracting #6: cost 23 inf + 166526 168.287 * * [simplify]: Extracting #7: cost 0 inf + 176920 168.336 * [simplify]: Simplified to (+ (+ (- (/ (log (* PI 2)) (/ 4 (- 1 k))) (log (sqrt k))) (* (log n) (/ (- 1 k) 2))) (/ (log (* PI 2)) (/ 4 (- 1 k)))) 168.336 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (- (/ (log (* PI 2)) (/ 4 (- 1 k))) (log (sqrt k))) (* (log n) (/ (- 1 k) 2))) (/ (log (* PI 2)) (/ 4 (- 1 k)))))) 168.336 * * * * [progress]: [ 98 / 417 ] simplifiying candidate # 168.336 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2))))) 168.337 * * [simplify]: iters left: 6 (23 enodes) 168.344 * * [simplify]: iters left: 5 (101 enodes) 168.362 * * [simplify]: iters left: 4 (188 enodes) 168.417 * * [simplify]: iters left: 3 (488 enodes) 168.695 * * [simplify]: Extracting #0: cost 1 inf + 0 168.696 * * [simplify]: Extracting #1: cost 81 inf + 0 168.700 * * [simplify]: Extracting #2: cost 451 inf + 0 168.704 * * [simplify]: Extracting #3: cost 549 inf + 184 168.713 * * [simplify]: Extracting #4: cost 477 inf + 18374 168.756 * * [simplify]: Extracting #5: cost 142 inf + 151493 168.809 * * [simplify]: Extracting #6: cost 1 inf + 217282 168.854 * * [simplify]: Extracting #7: cost 0 inf + 215190 168.928 * * [simplify]: Extracting #8: cost 0 inf + 214997 169.007 * [simplify]: Simplified to (- (+ (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2)))) (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2))))) (log (sqrt k))) 169.007 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2)))) (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2))))) (log (sqrt k))))) 169.007 * * * * [progress]: [ 99 / 417 ] simplifiying candidate # 169.008 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (log (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 169.008 * * [simplify]: iters left: 6 (22 enodes) 169.020 * * [simplify]: iters left: 5 (95 enodes) 169.052 * * [simplify]: iters left: 4 (185 enodes) 169.105 * * [simplify]: iters left: 3 (484 enodes) 169.356 * * [simplify]: Extracting #0: cost 1 inf + 0 169.356 * * [simplify]: Extracting #1: cost 61 inf + 0 169.358 * * [simplify]: Extracting #2: cost 315 inf + 0 169.360 * * [simplify]: Extracting #3: cost 421 inf + 296 169.368 * * [simplify]: Extracting #4: cost 395 inf + 22713 169.413 * * [simplify]: Extracting #5: cost 123 inf + 140945 169.473 * * [simplify]: Extracting #6: cost 24 inf + 188923 169.539 * * [simplify]: Extracting #7: cost 0 inf + 206346 169.579 * * [simplify]: Extracting #8: cost 0 inf + 205866 169.612 * * [simplify]: Extracting #9: cost 0 inf + 205826 169.658 * [simplify]: Simplified to (+ (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2)))) (- (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2)))) (log (sqrt k)))) 169.659 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2)))) (- (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2)))) (log (sqrt k)))))) 169.659 * * * * [progress]: [ 100 / 417 ] simplifiying candidate # 169.659 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 169.660 * * [simplify]: iters left: 6 (23 enodes) 169.672 * * [simplify]: iters left: 5 (91 enodes) 169.701 * * [simplify]: iters left: 4 (159 enodes) 169.767 * * [simplify]: iters left: 3 (362 enodes) 169.912 * * [simplify]: Extracting #0: cost 1 inf + 0 169.912 * * [simplify]: Extracting #1: cost 65 inf + 0 169.913 * * [simplify]: Extracting #2: cost 283 inf + 0 169.915 * * [simplify]: Extracting #3: cost 327 inf + 74 169.916 * * [simplify]: Extracting #4: cost 308 inf + 2966 169.922 * * [simplify]: Extracting #5: cost 174 inf + 39904 169.952 * * [simplify]: Extracting #6: cost 24 inf + 101214 169.984 * * [simplify]: Extracting #7: cost 0 inf + 114243 170.015 * * [simplify]: Extracting #8: cost 0 inf + 114159 170.057 * [simplify]: Simplified to (+ (+ (* (/ (- 1 k) 2) (log n)) (* (/ (- 1 k) 4) (log (* 2 PI)))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k)))) 170.057 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (* (/ (- 1 k) 2) (log n)) (* (/ (- 1 k) 4) (log (* 2 PI)))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k)))))) 170.057 * * * * [progress]: [ 101 / 417 ] simplifiying candidate # 170.057 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 170.058 * * [simplify]: iters left: 6 (23 enodes) 170.070 * * [simplify]: iters left: 5 (91 enodes) 170.101 * * [simplify]: iters left: 4 (159 enodes) 170.170 * * [simplify]: iters left: 3 (362 enodes) 170.309 * * [simplify]: Extracting #0: cost 1 inf + 0 170.309 * * [simplify]: Extracting #1: cost 65 inf + 0 170.310 * * [simplify]: Extracting #2: cost 283 inf + 0 170.313 * * [simplify]: Extracting #3: cost 327 inf + 74 170.314 * * [simplify]: Extracting #4: cost 308 inf + 2966 170.324 * * [simplify]: Extracting #5: cost 174 inf + 39904 170.344 * * [simplify]: Extracting #6: cost 24 inf + 101214 170.367 * * [simplify]: Extracting #7: cost 0 inf + 114243 170.401 * * [simplify]: Extracting #8: cost 0 inf + 114159 170.446 * [simplify]: Simplified to (+ (+ (* (/ (- 1 k) 2) (log n)) (* (/ (- 1 k) 4) (log (* 2 PI)))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k)))) 170.446 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (* (/ (- 1 k) 2) (log n)) (* (/ (- 1 k) 4) (log (* 2 PI)))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k)))))) 170.446 * * * * [progress]: [ 102 / 417 ] simplifiying candidate # 170.446 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 170.446 * * [simplify]: iters left: 6 (23 enodes) 170.459 * * [simplify]: iters left: 5 (92 enodes) 170.484 * * [simplify]: iters left: 4 (162 enodes) 170.532 * * [simplify]: iters left: 3 (391 enodes) 170.700 * * [simplify]: Extracting #0: cost 1 inf + 0 170.700 * * [simplify]: Extracting #1: cost 72 inf + 0 170.701 * * [simplify]: Extracting #2: cost 316 inf + 0 170.702 * * [simplify]: Extracting #3: cost 385 inf + 73 170.706 * * [simplify]: Extracting #4: cost 304 inf + 18939 170.728 * * [simplify]: Extracting #5: cost 56 inf + 110391 170.767 * * [simplify]: Extracting #6: cost 1 inf + 136578 170.791 * * [simplify]: Extracting #7: cost 0 inf + 136832 170.822 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n)))) 170.822 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n)))))) 170.823 * * * * [progress]: [ 103 / 417 ] simplifiying candidate # 170.823 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 170.823 * * [simplify]: iters left: 6 (19 enodes) 170.836 * * [simplify]: iters left: 5 (85 enodes) 170.865 * * [simplify]: iters left: 4 (154 enodes) 170.916 * * [simplify]: iters left: 3 (309 enodes) 170.997 * * [simplify]: Extracting #0: cost 1 inf + 0 170.997 * * [simplify]: Extracting #1: cost 44 inf + 0 170.998 * * [simplify]: Extracting #2: cost 190 inf + 0 170.999 * * [simplify]: Extracting #3: cost 239 inf + 74 171.000 * * [simplify]: Extracting #4: cost 211 inf + 5889 171.010 * * [simplify]: Extracting #5: cost 101 inf + 31401 171.030 * * [simplify]: Extracting #6: cost 21 inf + 67207 171.048 * * [simplify]: Extracting #7: cost 0 inf + 76502 171.064 * * [simplify]: Extracting #8: cost 0 inf + 76501 171.091 * [simplify]: Simplified to (+ (/ (log n) (/ 2 (- 1 k))) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))))) 171.092 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (/ (log n) (/ 2 (- 1 k))) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))))))) 171.092 * * * * [progress]: [ 104 / 417 ] simplifiying candidate # 171.092 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 171.092 * * [simplify]: iters left: 6 (19 enodes) 171.101 * * [simplify]: iters left: 5 (85 enodes) 171.116 * * [simplify]: iters left: 4 (154 enodes) 171.156 * * [simplify]: iters left: 3 (309 enodes) 171.248 * * [simplify]: Extracting #0: cost 1 inf + 0 171.248 * * [simplify]: Extracting #1: cost 44 inf + 0 171.248 * * [simplify]: Extracting #2: cost 190 inf + 0 171.249 * * [simplify]: Extracting #3: cost 239 inf + 74 171.251 * * [simplify]: Extracting #4: cost 211 inf + 5889 171.256 * * [simplify]: Extracting #5: cost 101 inf + 31401 171.267 * * [simplify]: Extracting #6: cost 21 inf + 67207 171.285 * * [simplify]: Extracting #7: cost 0 inf + 76502 171.313 * * [simplify]: Extracting #8: cost 0 inf + 76501 171.345 * [simplify]: Simplified to (+ (/ (log n) (/ 2 (- 1 k))) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))))) 171.345 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (/ (log n) (/ 2 (- 1 k))) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))))))) 171.345 * * * * [progress]: [ 105 / 417 ] simplifiying candidate # 171.346 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 171.346 * * [simplify]: iters left: 6 (19 enodes) 171.358 * * [simplify]: iters left: 5 (86 enodes) 171.386 * * [simplify]: iters left: 4 (157 enodes) 171.446 * * [simplify]: iters left: 3 (354 enodes) 171.593 * * [simplify]: Extracting #0: cost 1 inf + 0 171.594 * * [simplify]: Extracting #1: cost 56 inf + 0 171.595 * * [simplify]: Extracting #2: cost 249 inf + 0 171.597 * * [simplify]: Extracting #3: cost 323 inf + 73 171.600 * * [simplify]: Extracting #4: cost 297 inf + 6768 171.619 * * [simplify]: Extracting #5: cost 109 inf + 64534 171.656 * * [simplify]: Extracting #6: cost 10 inf + 104401 171.693 * * [simplify]: Extracting #7: cost 0 inf + 109378 171.735 * * [simplify]: Extracting #8: cost 0 inf + 109337 171.757 * [simplify]: Simplified to (- (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) (log (sqrt k))) 171.757 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) (log (sqrt k))))) 171.757 * * * * [progress]: [ 106 / 417 ] simplifiying candidate # 171.757 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 171.757 * * [simplify]: iters left: 6 (19 enodes) 171.763 * * [simplify]: iters left: 5 (85 enodes) 171.786 * * [simplify]: iters left: 4 (154 enodes) 171.832 * * [simplify]: iters left: 3 (309 enodes) 171.935 * * [simplify]: Extracting #0: cost 1 inf + 0 171.936 * * [simplify]: Extracting #1: cost 44 inf + 0 171.937 * * [simplify]: Extracting #2: cost 190 inf + 0 171.938 * * [simplify]: Extracting #3: cost 239 inf + 74 171.944 * * [simplify]: Extracting #4: cost 211 inf + 5889 171.949 * * [simplify]: Extracting #5: cost 101 inf + 31401 171.960 * * [simplify]: Extracting #6: cost 21 inf + 67207 171.974 * * [simplify]: Extracting #7: cost 0 inf + 76502 171.998 * * [simplify]: Extracting #8: cost 0 inf + 76501 172.022 * [simplify]: Simplified to (+ (/ (log n) (/ 2 (- 1 k))) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))))) 172.023 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (/ (log n) (/ 2 (- 1 k))) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))))))) 172.023 * * * * [progress]: [ 107 / 417 ] simplifiying candidate # 172.023 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 172.023 * * [simplify]: iters left: 6 (19 enodes) 172.033 * * [simplify]: iters left: 5 (85 enodes) 172.062 * * [simplify]: iters left: 4 (154 enodes) 172.117 * * [simplify]: iters left: 3 (309 enodes) 172.245 * * [simplify]: Extracting #0: cost 1 inf + 0 172.245 * * [simplify]: Extracting #1: cost 44 inf + 0 172.246 * * [simplify]: Extracting #2: cost 190 inf + 0 172.246 * * [simplify]: Extracting #3: cost 239 inf + 74 172.248 * * [simplify]: Extracting #4: cost 211 inf + 5889 172.253 * * [simplify]: Extracting #5: cost 101 inf + 31401 172.264 * * [simplify]: Extracting #6: cost 21 inf + 67207 172.279 * * [simplify]: Extracting #7: cost 0 inf + 76502 172.295 * * [simplify]: Extracting #8: cost 0 inf + 76501 172.313 * [simplify]: Simplified to (+ (/ (log n) (/ 2 (- 1 k))) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))))) 172.313 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (/ (log n) (/ 2 (- 1 k))) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))))))) 172.313 * * * * [progress]: [ 108 / 417 ] simplifiying candidate # 172.314 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 172.314 * * [simplify]: iters left: 6 (19 enodes) 172.325 * * [simplify]: iters left: 5 (86 enodes) 172.353 * * [simplify]: iters left: 4 (157 enodes) 172.405 * * [simplify]: iters left: 3 (354 enodes) 172.546 * * [simplify]: Extracting #0: cost 1 inf + 0 172.547 * * [simplify]: Extracting #1: cost 56 inf + 0 172.547 * * [simplify]: Extracting #2: cost 249 inf + 0 172.548 * * [simplify]: Extracting #3: cost 323 inf + 73 172.550 * * [simplify]: Extracting #4: cost 297 inf + 6768 172.560 * * [simplify]: Extracting #5: cost 109 inf + 64534 172.579 * * [simplify]: Extracting #6: cost 10 inf + 104401 172.601 * * [simplify]: Extracting #7: cost 0 inf + 109378 172.620 * * [simplify]: Extracting #8: cost 0 inf + 109337 172.639 * [simplify]: Simplified to (- (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) (log (sqrt k))) 172.640 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) (log (sqrt k))))) 172.640 * * * * [progress]: [ 109 / 417 ] simplifiying candidate # 172.640 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2)))) 172.640 * * [simplify]: iters left: 6 (21 enodes) 172.647 * * [simplify]: iters left: 5 (94 enodes) 172.677 * * [simplify]: iters left: 4 (184 enodes) 172.743 * * [simplify]: iters left: 3 (394 enodes) 172.906 * * [simplify]: Extracting #0: cost 1 inf + 0 172.906 * * [simplify]: Extracting #1: cost 60 inf + 0 172.908 * * [simplify]: Extracting #2: cost 272 inf + 0 172.910 * * [simplify]: Extracting #3: cost 356 inf + 185 172.914 * * [simplify]: Extracting #4: cost 347 inf + 5536 172.926 * * [simplify]: Extracting #5: cost 198 inf + 42253 172.955 * * [simplify]: Extracting #6: cost 26 inf + 116915 172.979 * * [simplify]: Extracting #7: cost 0 inf + 131624 173.013 * * [simplify]: Extracting #8: cost 0 inf + 131374 173.042 * * [simplify]: Extracting #9: cost 0 inf + 131372 173.070 * [simplify]: Simplified to (+ (/ (- (log n) (* k (log n))) 2) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))))) 173.070 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (/ (- (log n) (* k (log n))) 2) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))))))) 173.070 * * * * [progress]: [ 110 / 417 ] simplifiying candidate # 173.071 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2)))) 173.071 * * [simplify]: iters left: 6 (21 enodes) 173.078 * * [simplify]: iters left: 5 (94 enodes) 173.109 * * [simplify]: iters left: 4 (184 enodes) 173.160 * * [simplify]: iters left: 3 (394 enodes) 173.341 * * [simplify]: Extracting #0: cost 1 inf + 0 173.341 * * [simplify]: Extracting #1: cost 60 inf + 0 173.342 * * [simplify]: Extracting #2: cost 272 inf + 0 173.343 * * [simplify]: Extracting #3: cost 356 inf + 185 173.345 * * [simplify]: Extracting #4: cost 347 inf + 5536 173.351 * * [simplify]: Extracting #5: cost 198 inf + 42253 173.381 * * [simplify]: Extracting #6: cost 26 inf + 116915 173.422 * * [simplify]: Extracting #7: cost 0 inf + 131624 173.448 * * [simplify]: Extracting #8: cost 0 inf + 131374 173.480 * * [simplify]: Extracting #9: cost 0 inf + 131372 173.528 * [simplify]: Simplified to (+ (/ (- (log n) (* k (log n))) 2) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))))) 173.529 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (/ (- (log n) (* k (log n))) 2) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))))))) 173.529 * * * * [progress]: [ 111 / 417 ] simplifiying candidate # 173.529 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2))))) 173.529 * * [simplify]: iters left: 6 (21 enodes) 173.542 * * [simplify]: iters left: 5 (95 enodes) 173.564 * * [simplify]: iters left: 4 (186 enodes) 173.620 * * [simplify]: iters left: 3 (426 enodes) 173.790 * * [simplify]: Extracting #0: cost 1 inf + 0 173.790 * * [simplify]: Extracting #1: cost 72 inf + 0 173.791 * * [simplify]: Extracting #2: cost 325 inf + 0 173.792 * * [simplify]: Extracting #3: cost 425 inf + 185 173.796 * * [simplify]: Extracting #4: cost 360 inf + 17432 173.823 * * [simplify]: Extracting #5: cost 81 inf + 121661 173.863 * * [simplify]: Extracting #6: cost 3 inf + 159143 173.916 * * [simplify]: Extracting #7: cost 0 inf + 159394 173.946 * * [simplify]: Extracting #8: cost 0 inf + 159354 173.991 * [simplify]: Simplified to (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (- (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (log (sqrt k)))) 173.992 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (- (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (log (sqrt k)))))) 173.992 * * * * [progress]: [ 112 / 417 ] simplifiying candidate # 173.992 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 173.992 * * [simplify]: iters left: 6 (20 enodes) 173.998 * * [simplify]: iters left: 5 (91 enodes) 174.015 * * [simplify]: iters left: 4 (185 enodes) 174.080 * * [simplify]: iters left: 3 (471 enodes) 174.284 * * [simplify]: Extracting #0: cost 1 inf + 0 174.284 * * [simplify]: Extracting #1: cost 65 inf + 0 174.285 * * [simplify]: Extracting #2: cost 323 inf + 0 174.287 * * [simplify]: Extracting #3: cost 445 inf + 73 174.292 * * [simplify]: Extracting #4: cost 391 inf + 33568 174.335 * * [simplify]: Extracting #5: cost 72 inf + 187808 174.387 * * [simplify]: Extracting #6: cost 1 inf + 213533 174.456 * * [simplify]: Extracting #7: cost 0 inf + 212135 174.499 * [simplify]: Simplified to (+ (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (- (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (log (sqrt k)))) 174.499 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (- (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (log (sqrt k)))))) 174.500 * * * * [progress]: [ 113 / 417 ] simplifiying candidate # 174.500 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 174.500 * * [simplify]: iters left: 6 (23 enodes) 174.513 * * [simplify]: iters left: 5 (91 enodes) 174.528 * * [simplify]: iters left: 4 (159 enodes) 174.573 * * [simplify]: iters left: 3 (362 enodes) 174.694 * * [simplify]: Extracting #0: cost 1 inf + 0 174.694 * * [simplify]: Extracting #1: cost 65 inf + 0 174.695 * * [simplify]: Extracting #2: cost 283 inf + 0 174.696 * * [simplify]: Extracting #3: cost 327 inf + 74 174.698 * * [simplify]: Extracting #4: cost 308 inf + 2966 174.704 * * [simplify]: Extracting #5: cost 174 inf + 39904 174.744 * * [simplify]: Extracting #6: cost 24 inf + 101214 174.779 * * [simplify]: Extracting #7: cost 0 inf + 114243 174.800 * * [simplify]: Extracting #8: cost 0 inf + 114159 174.827 * [simplify]: Simplified to (+ (+ (* (/ (- 1 k) 2) (log n)) (* (/ (- 1 k) 4) (log (* 2 PI)))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k)))) 174.827 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (* (/ (- 1 k) 2) (log n)) (* (/ (- 1 k) 4) (log (* 2 PI)))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k)))))) 174.827 * * * * [progress]: [ 114 / 417 ] simplifiying candidate # 174.827 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 174.828 * * [simplify]: iters left: 6 (23 enodes) 174.834 * * [simplify]: iters left: 5 (91 enodes) 174.856 * * [simplify]: iters left: 4 (159 enodes) 174.923 * * [simplify]: iters left: 3 (362 enodes) 175.090 * * [simplify]: Extracting #0: cost 1 inf + 0 175.090 * * [simplify]: Extracting #1: cost 65 inf + 0 175.091 * * [simplify]: Extracting #2: cost 283 inf + 0 175.092 * * [simplify]: Extracting #3: cost 327 inf + 74 175.093 * * [simplify]: Extracting #4: cost 308 inf + 2966 175.099 * * [simplify]: Extracting #5: cost 174 inf + 39904 175.118 * * [simplify]: Extracting #6: cost 24 inf + 101214 175.160 * * [simplify]: Extracting #7: cost 0 inf + 114243 175.190 * * [simplify]: Extracting #8: cost 0 inf + 114159 175.210 * [simplify]: Simplified to (+ (+ (* (/ (- 1 k) 2) (log n)) (* (/ (- 1 k) 4) (log (* 2 PI)))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k)))) 175.210 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (* (/ (- 1 k) 2) (log n)) (* (/ (- 1 k) 4) (log (* 2 PI)))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k)))))) 175.211 * * * * [progress]: [ 115 / 417 ] simplifiying candidate # 175.211 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 175.211 * * [simplify]: iters left: 6 (23 enodes) 175.217 * * [simplify]: iters left: 5 (92 enodes) 175.232 * * [simplify]: iters left: 4 (162 enodes) 175.272 * * [simplify]: iters left: 3 (391 enodes) 175.444 * * [simplify]: Extracting #0: cost 1 inf + 0 175.444 * * [simplify]: Extracting #1: cost 72 inf + 0 175.446 * * [simplify]: Extracting #2: cost 316 inf + 0 175.449 * * [simplify]: Extracting #3: cost 385 inf + 73 175.456 * * [simplify]: Extracting #4: cost 304 inf + 18939 175.494 * * [simplify]: Extracting #5: cost 56 inf + 110391 175.523 * * [simplify]: Extracting #6: cost 1 inf + 136578 175.558 * * [simplify]: Extracting #7: cost 0 inf + 136832 175.585 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n)))) 175.585 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n)))))) 175.585 * * * * [progress]: [ 116 / 417 ] simplifiying candidate # 175.585 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 175.585 * * [simplify]: iters left: 6 (19 enodes) 175.593 * * [simplify]: iters left: 5 (85 enodes) 175.621 * * [simplify]: iters left: 4 (154 enodes) 175.658 * * [simplify]: iters left: 3 (309 enodes) 175.749 * * [simplify]: Extracting #0: cost 1 inf + 0 175.750 * * [simplify]: Extracting #1: cost 44 inf + 0 175.750 * * [simplify]: Extracting #2: cost 190 inf + 0 175.751 * * [simplify]: Extracting #3: cost 239 inf + 74 175.752 * * [simplify]: Extracting #4: cost 211 inf + 5889 175.757 * * [simplify]: Extracting #5: cost 101 inf + 31401 175.772 * * [simplify]: Extracting #6: cost 21 inf + 67207 175.796 * * [simplify]: Extracting #7: cost 0 inf + 76502 175.810 * * [simplify]: Extracting #8: cost 0 inf + 76501 175.824 * [simplify]: Simplified to (+ (/ (log n) (/ 2 (- 1 k))) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))))) 175.824 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (/ (log n) (/ 2 (- 1 k))) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))))))) 175.824 * * * * [progress]: [ 117 / 417 ] simplifiying candidate # 175.824 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 175.824 * * [simplify]: iters left: 6 (19 enodes) 175.835 * * [simplify]: iters left: 5 (85 enodes) 175.864 * * [simplify]: iters left: 4 (154 enodes) 175.902 * * [simplify]: iters left: 3 (309 enodes) 176.021 * * [simplify]: Extracting #0: cost 1 inf + 0 176.021 * * [simplify]: Extracting #1: cost 44 inf + 0 176.022 * * [simplify]: Extracting #2: cost 190 inf + 0 176.024 * * [simplify]: Extracting #3: cost 239 inf + 74 176.026 * * [simplify]: Extracting #4: cost 211 inf + 5889 176.036 * * [simplify]: Extracting #5: cost 101 inf + 31401 176.059 * * [simplify]: Extracting #6: cost 21 inf + 67207 176.086 * * [simplify]: Extracting #7: cost 0 inf + 76502 176.103 * * [simplify]: Extracting #8: cost 0 inf + 76501 176.121 * [simplify]: Simplified to (+ (/ (log n) (/ 2 (- 1 k))) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))))) 176.121 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (/ (log n) (/ 2 (- 1 k))) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))))))) 176.121 * * * * [progress]: [ 118 / 417 ] simplifiying candidate # 176.122 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 176.122 * * [simplify]: iters left: 6 (19 enodes) 176.134 * * [simplify]: iters left: 5 (86 enodes) 176.163 * * [simplify]: iters left: 4 (157 enodes) 176.219 * * [simplify]: iters left: 3 (354 enodes) 176.340 * * [simplify]: Extracting #0: cost 1 inf + 0 176.340 * * [simplify]: Extracting #1: cost 56 inf + 0 176.341 * * [simplify]: Extracting #2: cost 249 inf + 0 176.342 * * [simplify]: Extracting #3: cost 323 inf + 73 176.344 * * [simplify]: Extracting #4: cost 297 inf + 6768 176.354 * * [simplify]: Extracting #5: cost 109 inf + 64534 176.377 * * [simplify]: Extracting #6: cost 10 inf + 104401 176.400 * * [simplify]: Extracting #7: cost 0 inf + 109378 176.428 * * [simplify]: Extracting #8: cost 0 inf + 109337 176.467 * [simplify]: Simplified to (- (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) (log (sqrt k))) 176.467 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) (log (sqrt k))))) 176.467 * * * * [progress]: [ 119 / 417 ] simplifiying candidate # 176.467 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 176.467 * * [simplify]: iters left: 6 (19 enodes) 176.478 * * [simplify]: iters left: 5 (85 enodes) 176.507 * * [simplify]: iters left: 4 (154 enodes) 176.541 * * [simplify]: iters left: 3 (309 enodes) 176.642 * * [simplify]: Extracting #0: cost 1 inf + 0 176.642 * * [simplify]: Extracting #1: cost 44 inf + 0 176.643 * * [simplify]: Extracting #2: cost 190 inf + 0 176.644 * * [simplify]: Extracting #3: cost 239 inf + 74 176.647 * * [simplify]: Extracting #4: cost 211 inf + 5889 176.655 * * [simplify]: Extracting #5: cost 101 inf + 31401 176.674 * * [simplify]: Extracting #6: cost 21 inf + 67207 176.688 * * [simplify]: Extracting #7: cost 0 inf + 76502 176.702 * * [simplify]: Extracting #8: cost 0 inf + 76501 176.729 * [simplify]: Simplified to (+ (/ (log n) (/ 2 (- 1 k))) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))))) 176.729 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (/ (log n) (/ 2 (- 1 k))) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))))))) 176.729 * * * * [progress]: [ 120 / 417 ] simplifiying candidate # 176.729 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 176.730 * * [simplify]: iters left: 6 (19 enodes) 176.737 * * [simplify]: iters left: 5 (85 enodes) 176.751 * * [simplify]: iters left: 4 (154 enodes) 176.781 * * [simplify]: iters left: 3 (309 enodes) 176.885 * * [simplify]: Extracting #0: cost 1 inf + 0 176.885 * * [simplify]: Extracting #1: cost 44 inf + 0 176.886 * * [simplify]: Extracting #2: cost 190 inf + 0 176.887 * * [simplify]: Extracting #3: cost 239 inf + 74 176.889 * * [simplify]: Extracting #4: cost 211 inf + 5889 176.894 * * [simplify]: Extracting #5: cost 101 inf + 31401 176.905 * * [simplify]: Extracting #6: cost 21 inf + 67207 176.929 * * [simplify]: Extracting #7: cost 0 inf + 76502 176.957 * * [simplify]: Extracting #8: cost 0 inf + 76501 176.985 * [simplify]: Simplified to (+ (/ (log n) (/ 2 (- 1 k))) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))))) 176.985 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (/ (log n) (/ 2 (- 1 k))) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))))))) 176.985 * * * * [progress]: [ 121 / 417 ] simplifiying candidate # 176.985 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 176.986 * * [simplify]: iters left: 6 (19 enodes) 176.997 * * [simplify]: iters left: 5 (86 enodes) 177.026 * * [simplify]: iters left: 4 (157 enodes) 177.091 * * [simplify]: iters left: 3 (354 enodes) 177.205 * * [simplify]: Extracting #0: cost 1 inf + 0 177.205 * * [simplify]: Extracting #1: cost 56 inf + 0 177.205 * * [simplify]: Extracting #2: cost 249 inf + 0 177.206 * * [simplify]: Extracting #3: cost 323 inf + 73 177.208 * * [simplify]: Extracting #4: cost 297 inf + 6768 177.223 * * [simplify]: Extracting #5: cost 109 inf + 64534 177.259 * * [simplify]: Extracting #6: cost 10 inf + 104401 177.283 * * [simplify]: Extracting #7: cost 0 inf + 109378 177.304 * * [simplify]: Extracting #8: cost 0 inf + 109337 177.331 * [simplify]: Simplified to (- (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) (log (sqrt k))) 177.332 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) (log (sqrt k))))) 177.332 * * * * [progress]: [ 122 / 417 ] simplifiying candidate # 177.332 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2)))) 177.332 * * [simplify]: iters left: 6 (21 enodes) 177.339 * * [simplify]: iters left: 5 (94 enodes) 177.366 * * [simplify]: iters left: 4 (184 enodes) 177.441 * * [simplify]: iters left: 3 (394 enodes) 177.619 * * [simplify]: Extracting #0: cost 1 inf + 0 177.619 * * [simplify]: Extracting #1: cost 60 inf + 0 177.620 * * [simplify]: Extracting #2: cost 272 inf + 0 177.623 * * [simplify]: Extracting #3: cost 356 inf + 185 177.627 * * [simplify]: Extracting #4: cost 347 inf + 5536 177.639 * * [simplify]: Extracting #5: cost 198 inf + 42253 177.677 * * [simplify]: Extracting #6: cost 26 inf + 116915 177.724 * * [simplify]: Extracting #7: cost 0 inf + 131624 177.758 * * [simplify]: Extracting #8: cost 0 inf + 131374 177.790 * * [simplify]: Extracting #9: cost 0 inf + 131372 177.818 * [simplify]: Simplified to (+ (/ (- (log n) (* k (log n))) 2) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))))) 177.818 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (/ (- (log n) (* k (log n))) 2) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))))))) 177.818 * * * * [progress]: [ 123 / 417 ] simplifiying candidate # 177.818 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2)))) 177.818 * * [simplify]: iters left: 6 (21 enodes) 177.825 * * [simplify]: iters left: 5 (94 enodes) 177.848 * * [simplify]: iters left: 4 (184 enodes) 177.921 * * [simplify]: iters left: 3 (394 enodes) 178.063 * * [simplify]: Extracting #0: cost 1 inf + 0 178.063 * * [simplify]: Extracting #1: cost 60 inf + 0 178.064 * * [simplify]: Extracting #2: cost 272 inf + 0 178.065 * * [simplify]: Extracting #3: cost 356 inf + 185 178.067 * * [simplify]: Extracting #4: cost 347 inf + 5536 178.073 * * [simplify]: Extracting #5: cost 198 inf + 42253 178.093 * * [simplify]: Extracting #6: cost 26 inf + 116915 178.135 * * [simplify]: Extracting #7: cost 0 inf + 131624 178.182 * * [simplify]: Extracting #8: cost 0 inf + 131374 178.231 * * [simplify]: Extracting #9: cost 0 inf + 131372 178.280 * [simplify]: Simplified to (+ (/ (- (log n) (* k (log n))) 2) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))))) 178.280 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (/ (- (log n) (* k (log n))) 2) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))))))) 178.280 * * * * [progress]: [ 124 / 417 ] simplifiying candidate # 178.281 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2))))) 178.281 * * [simplify]: iters left: 6 (21 enodes) 178.294 * * [simplify]: iters left: 5 (95 enodes) 178.311 * * [simplify]: iters left: 4 (186 enodes) 178.364 * * [simplify]: iters left: 3 (426 enodes) 178.581 * * [simplify]: Extracting #0: cost 1 inf + 0 178.581 * * [simplify]: Extracting #1: cost 72 inf + 0 178.583 * * [simplify]: Extracting #2: cost 325 inf + 0 178.585 * * [simplify]: Extracting #3: cost 425 inf + 185 178.592 * * [simplify]: Extracting #4: cost 360 inf + 17432 178.633 * * [simplify]: Extracting #5: cost 81 inf + 121661 178.670 * * [simplify]: Extracting #6: cost 3 inf + 159143 178.709 * * [simplify]: Extracting #7: cost 0 inf + 159394 178.762 * * [simplify]: Extracting #8: cost 0 inf + 159354 178.791 * [simplify]: Simplified to (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (- (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (log (sqrt k)))) 178.791 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (- (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (log (sqrt k)))))) 178.791 * * * * [progress]: [ 125 / 417 ] simplifiying candidate # 178.791 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 178.791 * * [simplify]: iters left: 6 (20 enodes) 178.798 * * [simplify]: iters left: 5 (91 enodes) 178.818 * * [simplify]: iters left: 4 (185 enodes) 178.898 * * [simplify]: iters left: 3 (471 enodes) 179.085 * * [simplify]: Extracting #0: cost 1 inf + 0 179.085 * * [simplify]: Extracting #1: cost 65 inf + 0 179.086 * * [simplify]: Extracting #2: cost 323 inf + 0 179.089 * * [simplify]: Extracting #3: cost 445 inf + 73 179.098 * * [simplify]: Extracting #4: cost 391 inf + 33568 179.125 * * [simplify]: Extracting #5: cost 72 inf + 187808 179.186 * * [simplify]: Extracting #6: cost 1 inf + 213533 179.232 * * [simplify]: Extracting #7: cost 0 inf + 212135 179.267 * [simplify]: Simplified to (+ (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (- (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (log (sqrt k)))) 179.267 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (- (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (log (sqrt k)))))) 179.267 * * * * [progress]: [ 126 / 417 ] simplifiying candidate # 179.267 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 179.267 * * [simplify]: iters left: 6 (23 enodes) 179.274 * * [simplify]: iters left: 5 (100 enodes) 179.291 * * [simplify]: iters left: 4 (191 enodes) 179.358 * * [simplify]: iters left: 3 (461 enodes) 179.630 * * [simplify]: Extracting #0: cost 1 inf + 0 179.630 * * [simplify]: Extracting #1: cost 72 inf + 0 179.632 * * [simplify]: Extracting #2: cost 340 inf + 0 179.635 * * [simplify]: Extracting #3: cost 420 inf + 75 179.641 * * [simplify]: Extracting #4: cost 366 inf + 13036 179.672 * * [simplify]: Extracting #5: cost 135 inf + 92176 179.707 * * [simplify]: Extracting #6: cost 20 inf + 148962 179.741 * * [simplify]: Extracting #7: cost 0 inf + 161763 179.784 * * [simplify]: Extracting #8: cost 0 inf + 161640 179.815 * [simplify]: Simplified to (- (* (log (* 2 PI)) (/ (- 1 k) 4)) (- (- (log (sqrt k)) (/ (log n) (/ 2 (- 1 k)))) (* (log (* 2 PI)) (/ (- 1 k) 4)))) 179.815 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (log (* 2 PI)) (/ (- 1 k) 4)) (- (- (log (sqrt k)) (/ (log n) (/ 2 (- 1 k)))) (* (log (* 2 PI)) (/ (- 1 k) 4)))))) 179.815 * * * * [progress]: [ 127 / 417 ] simplifiying candidate # 179.815 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 179.815 * * [simplify]: iters left: 6 (23 enodes) 179.823 * * [simplify]: iters left: 5 (100 enodes) 179.857 * * [simplify]: iters left: 4 (191 enodes) 179.944 * * [simplify]: iters left: 3 (461 enodes) 180.180 * * [simplify]: Extracting #0: cost 1 inf + 0 180.180 * * [simplify]: Extracting #1: cost 72 inf + 0 180.182 * * [simplify]: Extracting #2: cost 340 inf + 0 180.184 * * [simplify]: Extracting #3: cost 420 inf + 75 180.190 * * [simplify]: Extracting #4: cost 366 inf + 13036 180.222 * * [simplify]: Extracting #5: cost 135 inf + 92176 180.262 * * [simplify]: Extracting #6: cost 20 inf + 148962 180.291 * * [simplify]: Extracting #7: cost 0 inf + 161763 180.335 * * [simplify]: Extracting #8: cost 0 inf + 161640 180.395 * [simplify]: Simplified to (- (* (log (* 2 PI)) (/ (- 1 k) 4)) (- (- (log (sqrt k)) (/ (log n) (/ 2 (- 1 k)))) (* (log (* 2 PI)) (/ (- 1 k) 4)))) 180.395 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (log (* 2 PI)) (/ (- 1 k) 4)) (- (- (log (sqrt k)) (/ (log n) (/ 2 (- 1 k)))) (* (log (* 2 PI)) (/ (- 1 k) 4)))))) 180.396 * * * * [progress]: [ 128 / 417 ] simplifiying candidate # 180.396 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 180.396 * * [simplify]: iters left: 6 (23 enodes) 180.408 * * [simplify]: iters left: 5 (101 enodes) 180.427 * * [simplify]: iters left: 4 (193 enodes) 180.488 * * [simplify]: Extracting #0: cost 1 inf + 0 180.488 * * [simplify]: Extracting #1: cost 23 inf + 0 180.489 * * [simplify]: Extracting #2: cost 114 inf + 0 180.489 * * [simplify]: Extracting #3: cost 160 inf + 2 180.490 * * [simplify]: Extracting #4: cost 149 inf + 942 180.492 * * [simplify]: Extracting #5: cost 77 inf + 18453 180.503 * * [simplify]: Extracting #6: cost 3 inf + 46149 180.520 * * [simplify]: Extracting #7: cost 0 inf + 47766 180.537 * [simplify]: Simplified to (- (+ (* (log (* 2 PI)) (/ (- 1 k) 4)) (+ (+ (* (log (* 2 PI)) (/ (- 1 k) 4)) (* (/ (- 1 k) 4) (log n))) (* (/ (- 1 k) 4) (log n)))) (log (sqrt k))) 180.537 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (log (* 2 PI)) (/ (- 1 k) 4)) (+ (+ (* (log (* 2 PI)) (/ (- 1 k) 4)) (* (/ (- 1 k) 4) (log n))) (* (/ (- 1 k) 4) (log n)))) (log (sqrt k))))) 180.537 * * * * [progress]: [ 129 / 417 ] simplifiying candidate # 180.537 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 180.538 * * [simplify]: iters left: 6 (21 enodes) 180.550 * * [simplify]: iters left: 5 (94 enodes) 180.586 * * [simplify]: iters left: 4 (188 enodes) 180.646 * * [simplify]: iters left: 3 (418 enodes) 180.825 * * [simplify]: Extracting #0: cost 1 inf + 0 180.825 * * [simplify]: Extracting #1: cost 59 inf + 0 180.826 * * [simplify]: Extracting #2: cost 283 inf + 0 180.829 * * [simplify]: Extracting #3: cost 355 inf + 186 180.833 * * [simplify]: Extracting #4: cost 339 inf + 3912 180.842 * * [simplify]: Extracting #5: cost 226 inf + 27632 180.877 * * [simplify]: Extracting #6: cost 39 inf + 110635 180.915 * * [simplify]: Extracting #7: cost 0 inf + 131078 180.942 * * [simplify]: Extracting #8: cost 0 inf + 130863 180.969 * * [simplify]: Extracting #9: cost 0 inf + 130860 181.009 * [simplify]: Simplified to (+ (/ (log (* 2 PI)) (/ 4 (- 1 k))) (- (/ (log (* 2 PI)) (/ 4 (- 1 k))) (- (log (sqrt k)) (* (log n) (/ (- 1 k) 2))))) 181.009 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (/ (log (* 2 PI)) (/ 4 (- 1 k))) (- (/ (log (* 2 PI)) (/ 4 (- 1 k))) (- (log (sqrt k)) (* (log n) (/ (- 1 k) 2))))))) 181.009 * * * * [progress]: [ 130 / 417 ] simplifiying candidate # 181.010 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 181.010 * * [simplify]: iters left: 6 (21 enodes) 181.020 * * [simplify]: iters left: 5 (94 enodes) 181.037 * * [simplify]: iters left: 4 (188 enodes) 181.089 * * [simplify]: iters left: 3 (418 enodes) 181.229 * * [simplify]: Extracting #0: cost 1 inf + 0 181.230 * * [simplify]: Extracting #1: cost 59 inf + 0 181.231 * * [simplify]: Extracting #2: cost 283 inf + 0 181.233 * * [simplify]: Extracting #3: cost 355 inf + 186 181.235 * * [simplify]: Extracting #4: cost 339 inf + 3912 181.240 * * [simplify]: Extracting #5: cost 226 inf + 27632 181.274 * * [simplify]: Extracting #6: cost 39 inf + 110635 181.299 * * [simplify]: Extracting #7: cost 0 inf + 131078 181.330 * * [simplify]: Extracting #8: cost 0 inf + 130863 181.363 * * [simplify]: Extracting #9: cost 0 inf + 130860 181.400 * [simplify]: Simplified to (+ (/ (log (* 2 PI)) (/ 4 (- 1 k))) (- (/ (log (* 2 PI)) (/ 4 (- 1 k))) (- (log (sqrt k)) (* (log n) (/ (- 1 k) 2))))) 181.400 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (/ (log (* 2 PI)) (/ 4 (- 1 k))) (- (/ (log (* 2 PI)) (/ 4 (- 1 k))) (- (log (sqrt k)) (* (log n) (/ (- 1 k) 2))))))) 181.401 * * * * [progress]: [ 131 / 417 ] simplifiying candidate # 181.401 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 181.401 * * [simplify]: iters left: 6 (21 enodes) 181.407 * * [simplify]: iters left: 5 (95 enodes) 181.429 * * [simplify]: iters left: 4 (190 enodes) 181.481 * * [simplify]: iters left: 3 (433 enodes) 181.635 * * [simplify]: Extracting #0: cost 1 inf + 0 181.635 * * [simplify]: Extracting #1: cost 71 inf + 0 181.636 * * [simplify]: Extracting #2: cost 344 inf + 0 181.637 * * [simplify]: Extracting #3: cost 431 inf + 73 181.641 * * [simplify]: Extracting #4: cost 337 inf + 26703 181.673 * * [simplify]: Extracting #5: cost 71 inf + 135095 181.710 * * [simplify]: Extracting #6: cost 3 inf + 163820 181.772 * * [simplify]: Extracting #7: cost 0 inf + 164930 181.831 * [simplify]: Simplified to (- (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) (log (sqrt k))) 181.831 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) (log (sqrt k))))) 181.831 * * * * [progress]: [ 132 / 417 ] simplifiying candidate # 181.832 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 181.832 * * [simplify]: iters left: 6 (21 enodes) 181.844 * * [simplify]: iters left: 5 (94 enodes) 181.873 * * [simplify]: iters left: 4 (188 enodes) 181.929 * * [simplify]: iters left: 3 (418 enodes) 182.119 * * [simplify]: Extracting #0: cost 1 inf + 0 182.120 * * [simplify]: Extracting #1: cost 59 inf + 0 182.120 * * [simplify]: Extracting #2: cost 283 inf + 0 182.122 * * [simplify]: Extracting #3: cost 355 inf + 186 182.126 * * [simplify]: Extracting #4: cost 339 inf + 3912 182.135 * * [simplify]: Extracting #5: cost 226 inf + 27632 182.156 * * [simplify]: Extracting #6: cost 39 inf + 110635 182.181 * * [simplify]: Extracting #7: cost 0 inf + 131078 182.208 * * [simplify]: Extracting #8: cost 0 inf + 130863 182.248 * * [simplify]: Extracting #9: cost 0 inf + 130860 182.272 * [simplify]: Simplified to (+ (/ (log (* 2 PI)) (/ 4 (- 1 k))) (- (/ (log (* 2 PI)) (/ 4 (- 1 k))) (- (log (sqrt k)) (* (log n) (/ (- 1 k) 2))))) 182.272 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (/ (log (* 2 PI)) (/ 4 (- 1 k))) (- (/ (log (* 2 PI)) (/ 4 (- 1 k))) (- (log (sqrt k)) (* (log n) (/ (- 1 k) 2))))))) 182.272 * * * * [progress]: [ 133 / 417 ] simplifiying candidate # 182.272 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 182.273 * * [simplify]: iters left: 6 (21 enodes) 182.280 * * [simplify]: iters left: 5 (94 enodes) 182.314 * * [simplify]: iters left: 4 (188 enodes) 182.377 * * [simplify]: iters left: 3 (418 enodes) 182.522 * * [simplify]: Extracting #0: cost 1 inf + 0 182.522 * * [simplify]: Extracting #1: cost 59 inf + 0 182.523 * * [simplify]: Extracting #2: cost 283 inf + 0 182.524 * * [simplify]: Extracting #3: cost 355 inf + 186 182.526 * * [simplify]: Extracting #4: cost 339 inf + 3912 182.531 * * [simplify]: Extracting #5: cost 226 inf + 27632 182.557 * * [simplify]: Extracting #6: cost 39 inf + 110635 182.609 * * [simplify]: Extracting #7: cost 0 inf + 131078 182.658 * * [simplify]: Extracting #8: cost 0 inf + 130863 182.686 * * [simplify]: Extracting #9: cost 0 inf + 130860 182.730 * [simplify]: Simplified to (+ (/ (log (* 2 PI)) (/ 4 (- 1 k))) (- (/ (log (* 2 PI)) (/ 4 (- 1 k))) (- (log (sqrt k)) (* (log n) (/ (- 1 k) 2))))) 182.730 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (/ (log (* 2 PI)) (/ 4 (- 1 k))) (- (/ (log (* 2 PI)) (/ 4 (- 1 k))) (- (log (sqrt k)) (* (log n) (/ (- 1 k) 2))))))) 182.730 * * * * [progress]: [ 134 / 417 ] simplifiying candidate # 182.731 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 182.731 * * [simplify]: iters left: 6 (21 enodes) 182.743 * * [simplify]: iters left: 5 (95 enodes) 182.775 * * [simplify]: iters left: 4 (190 enodes) 182.850 * * [simplify]: iters left: 3 (433 enodes) 183.069 * * [simplify]: Extracting #0: cost 1 inf + 0 183.069 * * [simplify]: Extracting #1: cost 71 inf + 0 183.071 * * [simplify]: Extracting #2: cost 344 inf + 0 183.074 * * [simplify]: Extracting #3: cost 431 inf + 73 183.082 * * [simplify]: Extracting #4: cost 337 inf + 26703 183.107 * * [simplify]: Extracting #5: cost 71 inf + 135095 183.154 * * [simplify]: Extracting #6: cost 3 inf + 163820 183.214 * * [simplify]: Extracting #7: cost 0 inf + 164930 183.263 * [simplify]: Simplified to (- (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) (log (sqrt k))) 183.263 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) (log (sqrt k))))) 183.264 * * * * [progress]: [ 135 / 417 ] simplifiying candidate # 183.264 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2)))) 183.264 * * [simplify]: iters left: 6 (19 enodes) 183.270 * * [simplify]: iters left: 5 (84 enodes) 183.285 * * [simplify]: iters left: 4 (157 enodes) 183.331 * * [simplify]: iters left: 3 (317 enodes) 183.468 * * [simplify]: Extracting #0: cost 1 inf + 0 183.468 * * [simplify]: Extracting #1: cost 42 inf + 0 183.469 * * [simplify]: Extracting #2: cost 203 inf + 0 183.470 * * [simplify]: Extracting #3: cost 280 inf + 74 183.471 * * [simplify]: Extracting #4: cost 252 inf + 7302 183.480 * * [simplify]: Extracting #5: cost 105 inf + 47315 183.509 * * [simplify]: Extracting #6: cost 17 inf + 84753 183.546 * * [simplify]: Extracting #7: cost 0 inf + 93347 183.564 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))) (+ (/ (- (log n) (* (log n) k)) 2) (* (/ (- 1 k) 4) (log (* 2 PI))))) 183.564 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))) (+ (/ (- (log n) (* (log n) k)) 2) (* (/ (- 1 k) 4) (log (* 2 PI))))))) 183.564 * * * * [progress]: [ 136 / 417 ] simplifiying candidate # 183.564 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2)))) 183.564 * * [simplify]: iters left: 6 (19 enodes) 183.570 * * [simplify]: iters left: 5 (84 enodes) 183.585 * * [simplify]: iters left: 4 (157 enodes) 183.631 * * [simplify]: iters left: 3 (317 enodes) 183.799 * * [simplify]: Extracting #0: cost 1 inf + 0 183.799 * * [simplify]: Extracting #1: cost 42 inf + 0 183.800 * * [simplify]: Extracting #2: cost 203 inf + 0 183.802 * * [simplify]: Extracting #3: cost 280 inf + 74 183.805 * * [simplify]: Extracting #4: cost 252 inf + 7302 183.819 * * [simplify]: Extracting #5: cost 105 inf + 47315 183.843 * * [simplify]: Extracting #6: cost 17 inf + 84753 183.862 * * [simplify]: Extracting #7: cost 0 inf + 93347 183.880 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))) (+ (/ (- (log n) (* (log n) k)) 2) (* (/ (- 1 k) 4) (log (* 2 PI))))) 183.880 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))) (+ (/ (- (log n) (* (log n) k)) 2) (* (/ (- 1 k) 4) (log (* 2 PI))))))) 183.880 * * * * [progress]: [ 137 / 417 ] simplifiying candidate # 183.880 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2))))) 183.880 * * [simplify]: iters left: 6 (19 enodes) 183.891 * * [simplify]: iters left: 5 (85 enodes) 183.914 * * [simplify]: iters left: 4 (159 enodes) 183.945 * * [simplify]: iters left: 3 (344 enodes) 184.126 * * [simplify]: Extracting #0: cost 1 inf + 0 184.127 * * [simplify]: Extracting #1: cost 52 inf + 0 184.127 * * [simplify]: Extracting #2: cost 252 inf + 0 184.129 * * [simplify]: Extracting #3: cost 339 inf + 74 184.131 * * [simplify]: Extracting #4: cost 299 inf + 10615 184.146 * * [simplify]: Extracting #5: cost 93 inf + 87222 184.175 * * [simplify]: Extracting #6: cost 6 inf + 121235 184.197 * * [simplify]: Extracting #7: cost 0 inf + 118106 184.220 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) 184.220 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))))) 184.221 * * * * [progress]: [ 138 / 417 ] simplifiying candidate # 184.221 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (log (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 184.221 * * [simplify]: iters left: 6 (19 enodes) 184.226 * * [simplify]: iters left: 5 (83 enodes) 184.245 * * [simplify]: iters left: 4 (164 enodes) 184.293 * * [simplify]: iters left: 3 (393 enodes) 184.462 * * [simplify]: Extracting #0: cost 1 inf + 0 184.462 * * [simplify]: Extracting #1: cost 49 inf + 0 184.462 * * [simplify]: Extracting #2: cost 233 inf + 0 184.463 * * [simplify]: Extracting #3: cost 351 inf + 74 184.466 * * [simplify]: Extracting #4: cost 362 inf + 8965 184.483 * * [simplify]: Extracting #5: cost 194 inf + 72754 184.514 * * [simplify]: Extracting #6: cost 13 inf + 170323 184.560 * * [simplify]: Extracting #7: cost 0 inf + 172728 184.607 * * [simplify]: Extracting #8: cost 0 inf + 172608 184.642 * [simplify]: Simplified to (+ (* (- 1/4 (/ k 4)) (+ (log (* 2 PI)) (log n))) (- (* (- 1/4 (/ k 4)) (+ (log (* 2 PI)) (log n))) (log (sqrt k)))) 184.642 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (- 1/4 (/ k 4)) (+ (log (* 2 PI)) (log n))) (- (* (- 1/4 (/ k 4)) (+ (log (* 2 PI)) (log n))) (log (sqrt k)))))) 184.642 * * * * [progress]: [ 139 / 417 ] simplifiying candidate # 184.643 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 184.643 * * [simplify]: iters left: 6 (21 enodes) 184.655 * * [simplify]: iters left: 5 (91 enodes) 184.687 * * [simplify]: iters left: 4 (177 enodes) 184.768 * * [simplify]: Extracting #0: cost 1 inf + 0 184.768 * * [simplify]: Extracting #1: cost 27 inf + 0 184.768 * * [simplify]: Extracting #2: cost 108 inf + 1 184.768 * * [simplify]: Extracting #3: cost 140 inf + 74 184.769 * * [simplify]: Extracting #4: cost 126 inf + 1319 184.771 * * [simplify]: Extracting #5: cost 65 inf + 14958 184.778 * * [simplify]: Extracting #6: cost 7 inf + 40261 184.794 * * [simplify]: Extracting #7: cost 0 inf + 44793 184.811 * [simplify]: Simplified to (+ (/ (* (- 1 k) (log n)) 2) (- (/ (* (- 1 k) (+ (log PI) (log 2))) 4) (- (log (sqrt k)) (/ (* (- 1 k) (+ (log PI) (log 2))) 4)))) 184.811 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (/ (* (- 1 k) (log n)) 2) (- (/ (* (- 1 k) (+ (log PI) (log 2))) 4) (- (log (sqrt k)) (/ (* (- 1 k) (+ (log PI) (log 2))) 4)))))) 184.811 * * * * [progress]: [ 140 / 417 ] simplifiying candidate # 184.812 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 184.812 * * [simplify]: iters left: 6 (21 enodes) 184.824 * * [simplify]: iters left: 5 (91 enodes) 184.859 * * [simplify]: iters left: 4 (177 enodes) 184.922 * * [simplify]: Extracting #0: cost 1 inf + 0 184.922 * * [simplify]: Extracting #1: cost 27 inf + 0 184.922 * * [simplify]: Extracting #2: cost 108 inf + 1 184.923 * * [simplify]: Extracting #3: cost 140 inf + 74 184.927 * * [simplify]: Extracting #4: cost 126 inf + 1319 184.931 * * [simplify]: Extracting #5: cost 65 inf + 14958 184.941 * * [simplify]: Extracting #6: cost 7 inf + 40261 184.949 * * [simplify]: Extracting #7: cost 0 inf + 44793 184.958 * [simplify]: Simplified to (+ (/ (* (- 1 k) (log n)) 2) (- (/ (* (- 1 k) (+ (log PI) (log 2))) 4) (- (log (sqrt k)) (/ (* (- 1 k) (+ (log PI) (log 2))) 4)))) 184.958 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (/ (* (- 1 k) (log n)) 2) (- (/ (* (- 1 k) (+ (log PI) (log 2))) 4) (- (log (sqrt k)) (/ (* (- 1 k) (+ (log PI) (log 2))) 4)))))) 184.959 * * * * [progress]: [ 141 / 417 ] simplifiying candidate # 184.959 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 184.959 * * [simplify]: iters left: 6 (21 enodes) 184.965 * * [simplify]: iters left: 5 (92 enodes) 184.982 * * [simplify]: iters left: 4 (180 enodes) 185.035 * * [simplify]: Extracting #0: cost 1 inf + 0 185.035 * * [simplify]: Extracting #1: cost 30 inf + 0 185.035 * * [simplify]: Extracting #2: cost 120 inf + 1 185.036 * * [simplify]: Extracting #3: cost 161 inf + 74 185.037 * * [simplify]: Extracting #4: cost 152 inf + 1002 185.043 * * [simplify]: Extracting #5: cost 71 inf + 25367 185.060 * * [simplify]: Extracting #6: cost 9 inf + 48664 185.072 * * [simplify]: Extracting #7: cost 0 inf + 53094 185.081 * [simplify]: Simplified to (- (+ (* (- 1/4 (/ k 4)) (log n)) (+ (* (- 1/4 (/ k 4)) (log n)) (* (+ (log PI) (log 2)) (- 1/4 (/ k 4))))) (- (log (sqrt k)) (* (+ (log PI) (log 2)) (- 1/4 (/ k 4))))) 185.081 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (- 1/4 (/ k 4)) (log n)) (+ (* (- 1/4 (/ k 4)) (log n)) (* (+ (log PI) (log 2)) (- 1/4 (/ k 4))))) (- (log (sqrt k)) (* (+ (log PI) (log 2)) (- 1/4 (/ k 4))))))) 185.081 * * * * [progress]: [ 142 / 417 ] simplifiying candidate # 185.082 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 185.082 * * [simplify]: iters left: 6 (24 enodes) 185.091 * * [simplify]: iters left: 5 (97 enodes) 185.110 * * [simplify]: iters left: 4 (190 enodes) 185.181 * * [simplify]: Extracting #0: cost 1 inf + 0 185.181 * * [simplify]: Extracting #1: cost 27 inf + 0 185.181 * * [simplify]: Extracting #2: cost 107 inf + 1 185.182 * * [simplify]: Extracting #3: cost 140 inf + 74 185.183 * * [simplify]: Extracting #4: cost 132 inf + 802 185.185 * * [simplify]: Extracting #5: cost 98 inf + 5036 185.192 * * [simplify]: Extracting #6: cost 45 inf + 21847 185.207 * * [simplify]: Extracting #7: cost 3 inf + 40960 185.216 * * [simplify]: Extracting #8: cost 0 inf + 42492 185.225 * [simplify]: Simplified to (+ (- (+ (/ (* (- 1 k) (log (* PI 2))) 4) (/ (* (- 1 k) (log (* PI 2))) 4)) (log (sqrt k))) (* (log n) (- 1/2 (/ k 2)))) 185.225 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (+ (/ (* (- 1 k) (log (* PI 2))) 4) (/ (* (- 1 k) (log (* PI 2))) 4)) (log (sqrt k))) (* (log n) (- 1/2 (/ k 2)))))) 185.225 * * * * [progress]: [ 143 / 417 ] simplifiying candidate # 185.225 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 185.226 * * [simplify]: iters left: 6 (24 enodes) 185.233 * * [simplify]: iters left: 5 (97 enodes) 185.251 * * [simplify]: iters left: 4 (190 enodes) 185.341 * * [simplify]: Extracting #0: cost 1 inf + 0 185.341 * * [simplify]: Extracting #1: cost 27 inf + 0 185.341 * * [simplify]: Extracting #2: cost 107 inf + 1 185.341 * * [simplify]: Extracting #3: cost 140 inf + 74 185.342 * * [simplify]: Extracting #4: cost 132 inf + 802 185.343 * * [simplify]: Extracting #5: cost 98 inf + 5036 185.346 * * [simplify]: Extracting #6: cost 45 inf + 21847 185.354 * * [simplify]: Extracting #7: cost 3 inf + 40960 185.362 * * [simplify]: Extracting #8: cost 0 inf + 42492 185.374 * [simplify]: Simplified to (+ (- (+ (/ (* (- 1 k) (log (* PI 2))) 4) (/ (* (- 1 k) (log (* PI 2))) 4)) (log (sqrt k))) (* (log n) (- 1/2 (/ k 2)))) 185.374 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (+ (/ (* (- 1 k) (log (* PI 2))) 4) (/ (* (- 1 k) (log (* PI 2))) 4)) (log (sqrt k))) (* (log n) (- 1/2 (/ k 2)))))) 185.374 * * * * [progress]: [ 144 / 417 ] simplifiying candidate # 185.374 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 185.375 * * [simplify]: iters left: 6 (24 enodes) 185.381 * * [simplify]: iters left: 5 (98 enodes) 185.399 * * [simplify]: iters left: 4 (193 enodes) 185.468 * * [simplify]: Extracting #0: cost 1 inf + 0 185.468 * * [simplify]: Extracting #1: cost 30 inf + 0 185.469 * * [simplify]: Extracting #2: cost 119 inf + 1 185.469 * * [simplify]: Extracting #3: cost 161 inf + 74 185.470 * * [simplify]: Extracting #4: cost 154 inf + 831 185.475 * * [simplify]: Extracting #5: cost 98 inf + 13097 185.483 * * [simplify]: Extracting #6: cost 10 inf + 46519 185.492 * * [simplify]: Extracting #7: cost 0 inf + 49574 185.502 * * [simplify]: Extracting #8: cost 0 inf + 48940 185.519 * [simplify]: Simplified to (- (+ (* (log (* PI 2)) (- 1/4 (/ k 4))) (+ (* (- 1/4 (/ k 4)) (log n)) (+ (* (- 1/4 (/ k 4)) (log n)) (* (log (* PI 2)) (- 1/4 (/ k 4)))))) (log (sqrt k))) 185.519 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (log (* PI 2)) (- 1/4 (/ k 4))) (+ (* (- 1/4 (/ k 4)) (log n)) (+ (* (- 1/4 (/ k 4)) (log n)) (* (log (* PI 2)) (- 1/4 (/ k 4)))))) (log (sqrt k))))) 185.519 * * * * [progress]: [ 145 / 417 ] simplifiying candidate # 185.520 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 185.520 * * [simplify]: iters left: 6 (24 enodes) 185.533 * * [simplify]: iters left: 5 (97 enodes) 185.554 * * [simplify]: iters left: 4 (190 enodes) 185.617 * * [simplify]: Extracting #0: cost 1 inf + 0 185.617 * * [simplify]: Extracting #1: cost 27 inf + 0 185.618 * * [simplify]: Extracting #2: cost 107 inf + 1 185.618 * * [simplify]: Extracting #3: cost 140 inf + 74 185.620 * * [simplify]: Extracting #4: cost 132 inf + 802 185.622 * * [simplify]: Extracting #5: cost 98 inf + 5036 185.628 * * [simplify]: Extracting #6: cost 45 inf + 21847 185.636 * * [simplify]: Extracting #7: cost 3 inf + 40960 185.645 * * [simplify]: Extracting #8: cost 0 inf + 42492 185.653 * [simplify]: Simplified to (+ (- (+ (/ (* (- 1 k) (log (* PI 2))) 4) (/ (* (- 1 k) (log (* PI 2))) 4)) (log (sqrt k))) (* (log n) (- 1/2 (/ k 2)))) 185.653 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (+ (/ (* (- 1 k) (log (* PI 2))) 4) (/ (* (- 1 k) (log (* PI 2))) 4)) (log (sqrt k))) (* (log n) (- 1/2 (/ k 2)))))) 185.653 * * * * [progress]: [ 146 / 417 ] simplifiying candidate # 185.654 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 185.654 * * [simplify]: iters left: 6 (24 enodes) 185.665 * * [simplify]: iters left: 5 (97 enodes) 185.698 * * [simplify]: iters left: 4 (190 enodes) 185.765 * * [simplify]: Extracting #0: cost 1 inf + 0 185.765 * * [simplify]: Extracting #1: cost 27 inf + 0 185.765 * * [simplify]: Extracting #2: cost 107 inf + 1 185.766 * * [simplify]: Extracting #3: cost 140 inf + 74 185.766 * * [simplify]: Extracting #4: cost 132 inf + 802 185.767 * * [simplify]: Extracting #5: cost 98 inf + 5036 185.770 * * [simplify]: Extracting #6: cost 45 inf + 21847 185.778 * * [simplify]: Extracting #7: cost 3 inf + 40960 185.787 * * [simplify]: Extracting #8: cost 0 inf + 42492 185.795 * [simplify]: Simplified to (+ (- (+ (/ (* (- 1 k) (log (* PI 2))) 4) (/ (* (- 1 k) (log (* PI 2))) 4)) (log (sqrt k))) (* (log n) (- 1/2 (/ k 2)))) 185.796 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (+ (/ (* (- 1 k) (log (* PI 2))) 4) (/ (* (- 1 k) (log (* PI 2))) 4)) (log (sqrt k))) (* (log n) (- 1/2 (/ k 2)))))) 185.796 * * * * [progress]: [ 147 / 417 ] simplifiying candidate # 185.796 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 185.796 * * [simplify]: iters left: 6 (24 enodes) 185.806 * * [simplify]: iters left: 5 (98 enodes) 185.836 * * [simplify]: iters left: 4 (193 enodes) 185.909 * * [simplify]: Extracting #0: cost 1 inf + 0 185.909 * * [simplify]: Extracting #1: cost 30 inf + 0 185.910 * * [simplify]: Extracting #2: cost 119 inf + 1 185.911 * * [simplify]: Extracting #3: cost 161 inf + 74 185.912 * * [simplify]: Extracting #4: cost 154 inf + 831 185.916 * * [simplify]: Extracting #5: cost 98 inf + 13097 185.931 * * [simplify]: Extracting #6: cost 10 inf + 46519 185.949 * * [simplify]: Extracting #7: cost 0 inf + 49574 185.967 * * [simplify]: Extracting #8: cost 0 inf + 48940 185.981 * [simplify]: Simplified to (- (+ (* (log (* PI 2)) (- 1/4 (/ k 4))) (+ (* (- 1/4 (/ k 4)) (log n)) (+ (* (- 1/4 (/ k 4)) (log n)) (* (log (* PI 2)) (- 1/4 (/ k 4)))))) (log (sqrt k))) 185.981 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (log (* PI 2)) (- 1/4 (/ k 4))) (+ (* (- 1/4 (/ k 4)) (log n)) (+ (* (- 1/4 (/ k 4)) (log n)) (* (log (* PI 2)) (- 1/4 (/ k 4)))))) (log (sqrt k))))) 185.981 * * * * [progress]: [ 148 / 417 ] simplifiying candidate # 185.982 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2)))) 185.982 * * [simplify]: iters left: 6 (24 enodes) 185.989 * * [simplify]: iters left: 5 (106 enodes) 186.008 * * [simplify]: iters left: 4 (212 enodes) 186.105 * * [simplify]: Extracting #0: cost 1 inf + 0 186.106 * * [simplify]: Extracting #1: cost 23 inf + 0 186.106 * * [simplify]: Extracting #2: cost 114 inf + 1 186.106 * * [simplify]: Extracting #3: cost 177 inf + 74 186.107 * * [simplify]: Extracting #4: cost 169 inf + 1108 186.109 * * [simplify]: Extracting #5: cost 122 inf + 11426 186.123 * * [simplify]: Extracting #6: cost 18 inf + 48630 186.138 * * [simplify]: Extracting #7: cost 0 inf + 55197 186.148 * * [simplify]: Extracting #8: cost 0 inf + 54401 186.158 * * [simplify]: Extracting #9: cost 0 inf + 54318 186.176 * [simplify]: Simplified to (+ (- (* (log (* PI 2)) (- 1/4 (/ k 4))) (log (sqrt k))) (+ (* (log n) (/ (- 1 k) 2)) (* (log (* PI 2)) (- 1/4 (/ k 4))))) 186.177 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (log (* PI 2)) (- 1/4 (/ k 4))) (log (sqrt k))) (+ (* (log n) (/ (- 1 k) 2)) (* (log (* PI 2)) (- 1/4 (/ k 4))))))) 186.177 * * * * [progress]: [ 149 / 417 ] simplifiying candidate # 186.177 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2)))) 186.177 * * [simplify]: iters left: 6 (24 enodes) 186.192 * * [simplify]: iters left: 5 (106 enodes) 186.227 * * [simplify]: iters left: 4 (212 enodes) 186.297 * * [simplify]: Extracting #0: cost 1 inf + 0 186.297 * * [simplify]: Extracting #1: cost 23 inf + 0 186.297 * * [simplify]: Extracting #2: cost 114 inf + 1 186.298 * * [simplify]: Extracting #3: cost 177 inf + 74 186.298 * * [simplify]: Extracting #4: cost 169 inf + 1108 186.300 * * [simplify]: Extracting #5: cost 122 inf + 11426 186.310 * * [simplify]: Extracting #6: cost 18 inf + 48630 186.324 * * [simplify]: Extracting #7: cost 0 inf + 55197 186.344 * * [simplify]: Extracting #8: cost 0 inf + 54401 186.364 * * [simplify]: Extracting #9: cost 0 inf + 54318 186.385 * [simplify]: Simplified to (+ (- (* (log (* PI 2)) (- 1/4 (/ k 4))) (log (sqrt k))) (+ (* (log n) (/ (- 1 k) 2)) (* (log (* PI 2)) (- 1/4 (/ k 4))))) 186.385 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (log (* PI 2)) (- 1/4 (/ k 4))) (log (sqrt k))) (+ (* (log n) (/ (- 1 k) 2)) (* (log (* PI 2)) (- 1/4 (/ k 4))))))) 186.385 * * * * [progress]: [ 150 / 417 ] simplifiying candidate # 186.386 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2))))) 186.386 * * [simplify]: iters left: 6 (24 enodes) 186.400 * * [simplify]: iters left: 5 (107 enodes) 186.436 * * [simplify]: iters left: 4 (214 enodes) 186.527 * * [simplify]: Extracting #0: cost 1 inf + 0 186.528 * * [simplify]: Extracting #1: cost 24 inf + 0 186.528 * * [simplify]: Extracting #2: cost 124 inf + 1 186.529 * * [simplify]: Extracting #3: cost 192 inf + 74 186.532 * * [simplify]: Extracting #4: cost 154 inf + 9079 186.541 * * [simplify]: Extracting #5: cost 43 inf + 49120 186.551 * * [simplify]: Extracting #6: cost 1 inf + 60535 186.562 * * [simplify]: Extracting #7: cost 0 inf + 59600 186.577 * [simplify]: Simplified to (+ (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k))) (+ (* (log n) (/ (- 1 k) 2)) (* (log (* PI 2)) (/ (- 1 k) 4)))) 186.577 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k))) (+ (* (log n) (/ (- 1 k) 2)) (* (log (* PI 2)) (/ (- 1 k) 4)))))) 186.577 * * * * [progress]: [ 151 / 417 ] simplifiying candidate # 186.577 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (log (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 186.578 * * [simplify]: iters left: 6 (23 enodes) 186.590 * * [simplify]: iters left: 5 (101 enodes) 186.625 * * [simplify]: iters left: 4 (209 enodes) 186.697 * * [simplify]: Extracting #0: cost 1 inf + 0 186.697 * * [simplify]: Extracting #1: cost 33 inf + 0 186.697 * * [simplify]: Extracting #2: cost 126 inf + 1 186.697 * * [simplify]: Extracting #3: cost 183 inf + 3 186.699 * * [simplify]: Extracting #4: cost 172 inf + 6071 186.704 * * [simplify]: Extracting #5: cost 98 inf + 29119 186.721 * * [simplify]: Extracting #6: cost 17 inf + 60367 186.733 * * [simplify]: Extracting #7: cost 0 inf + 68080 186.753 * * [simplify]: Extracting #8: cost 0 inf + 67930 186.776 * [simplify]: Simplified to (+ (* (log (* PI 2)) (- 1/4 (/ k 4))) (+ (* (- 1/4 (/ k 4)) (log n)) (+ (* (- 1/4 (/ k 4)) (log n)) (- (* (log (* PI 2)) (- 1/4 (/ k 4))) (log (sqrt k)))))) 186.776 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (log (* PI 2)) (- 1/4 (/ k 4))) (+ (* (- 1/4 (/ k 4)) (log n)) (+ (* (- 1/4 (/ k 4)) (log n)) (- (* (log (* PI 2)) (- 1/4 (/ k 4))) (log (sqrt k)))))))) 186.776 * * * * [progress]: [ 152 / 417 ] simplifiying candidate # 186.777 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 186.778 * * [simplify]: iters left: 6 (24 enodes) 186.791 * * [simplify]: iters left: 5 (97 enodes) 186.825 * * [simplify]: iters left: 4 (185 enodes) 186.925 * * [simplify]: Extracting #0: cost 1 inf + 0 186.925 * * [simplify]: Extracting #1: cost 27 inf + 0 186.925 * * [simplify]: Extracting #2: cost 108 inf + 1 186.926 * * [simplify]: Extracting #3: cost 142 inf + 3 186.927 * * [simplify]: Extracting #4: cost 134 inf + 872 186.930 * * [simplify]: Extracting #5: cost 73 inf + 10751 186.943 * * [simplify]: Extracting #6: cost 4 inf + 39304 186.960 * * [simplify]: Extracting #7: cost 0 inf + 41007 186.976 * [simplify]: Simplified to (+ (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k)))) (* (/ (- 1 k) 2) (log n))) 186.976 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k)))) (* (/ (- 1 k) 2) (log n))))) 186.977 * * * * [progress]: [ 153 / 417 ] simplifiying candidate # 186.977 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 186.977 * * [simplify]: iters left: 6 (24 enodes) 186.991 * * [simplify]: iters left: 5 (97 enodes) 187.027 * * [simplify]: iters left: 4 (185 enodes) 187.124 * * [simplify]: Extracting #0: cost 1 inf + 0 187.124 * * [simplify]: Extracting #1: cost 27 inf + 0 187.125 * * [simplify]: Extracting #2: cost 108 inf + 1 187.126 * * [simplify]: Extracting #3: cost 142 inf + 3 187.127 * * [simplify]: Extracting #4: cost 134 inf + 872 187.130 * * [simplify]: Extracting #5: cost 73 inf + 10751 187.143 * * [simplify]: Extracting #6: cost 4 inf + 39304 187.163 * * [simplify]: Extracting #7: cost 0 inf + 41007 187.180 * [simplify]: Simplified to (+ (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k)))) (* (/ (- 1 k) 2) (log n))) 187.180 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k)))) (* (/ (- 1 k) 2) (log n))))) 187.180 * * * * [progress]: [ 154 / 417 ] simplifiying candidate # 187.181 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 187.181 * * [simplify]: iters left: 6 (24 enodes) 187.196 * * [simplify]: iters left: 5 (98 enodes) 187.220 * * [simplify]: iters left: 4 (188 enodes) 187.305 * * [simplify]: Extracting #0: cost 1 inf + 0 187.305 * * [simplify]: Extracting #1: cost 30 inf + 0 187.305 * * [simplify]: Extracting #2: cost 120 inf + 1 187.306 * * [simplify]: Extracting #3: cost 163 inf + 3 187.307 * * [simplify]: Extracting #4: cost 157 inf + 689 187.310 * * [simplify]: Extracting #5: cost 106 inf + 9529 187.321 * * [simplify]: Extracting #6: cost 32 inf + 33628 187.338 * * [simplify]: Extracting #7: cost 0 inf + 50310 187.357 * * [simplify]: Extracting #8: cost 0 inf + 50025 187.366 * * [simplify]: Extracting #9: cost 0 inf + 49985 187.375 * [simplify]: Simplified to (- (+ (+ (* (log (* 2 PI)) (+ (- 1/4 (/ k 4)) (- 1/4 (/ k 4)))) (* (- 1/4 (/ k 4)) (log n))) (* (- 1/4 (/ k 4)) (log n))) (log (sqrt k))) 187.376 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (+ (* (log (* 2 PI)) (+ (- 1/4 (/ k 4)) (- 1/4 (/ k 4)))) (* (- 1/4 (/ k 4)) (log n))) (* (- 1/4 (/ k 4)) (log n))) (log (sqrt k))))) 187.376 * * * * [progress]: [ 155 / 417 ] simplifiying candidate # 187.376 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 187.376 * * [simplify]: iters left: 6 (20 enodes) 187.382 * * [simplify]: iters left: 5 (91 enodes) 187.401 * * [simplify]: iters left: 4 (180 enodes) 187.475 * * [simplify]: iters left: 3 (438 enodes) 187.717 * * [simplify]: Extracting #0: cost 1 inf + 0 187.717 * * [simplify]: Extracting #1: cost 54 inf + 0 187.718 * * [simplify]: Extracting #2: cost 256 inf + 1 187.723 * * [simplify]: Extracting #3: cost 344 inf + 75 187.725 * * [simplify]: Extracting #4: cost 317 inf + 6443 187.735 * * [simplify]: Extracting #5: cost 155 inf + 47381 187.766 * * [simplify]: Extracting #6: cost 4 inf + 112914 187.790 * * [simplify]: Extracting #7: cost 0 inf + 113852 187.836 * * [simplify]: Extracting #8: cost 0 inf + 113847 187.880 * * [simplify]: Extracting #9: cost 0 inf + 113846 187.904 * [simplify]: Simplified to (- (+ (* (/ (- 1 k) 2) (log n)) (* (/ (- 1 k) 4) (log (* 2 PI)))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* 2 PI))))) 187.904 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (/ (- 1 k) 2) (log n)) (* (/ (- 1 k) 4) (log (* 2 PI)))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* 2 PI))))))) 187.904 * * * * [progress]: [ 156 / 417 ] simplifiying candidate # 187.904 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 187.905 * * [simplify]: iters left: 6 (20 enodes) 187.913 * * [simplify]: iters left: 5 (91 enodes) 187.931 * * [simplify]: iters left: 4 (180 enodes) 187.997 * * [simplify]: iters left: 3 (438 enodes) 188.556 * * [simplify]: Extracting #0: cost 1 inf + 0 188.556 * * [simplify]: Extracting #1: cost 54 inf + 0 188.557 * * [simplify]: Extracting #2: cost 256 inf + 1 188.558 * * [simplify]: Extracting #3: cost 344 inf + 75 188.560 * * [simplify]: Extracting #4: cost 317 inf + 6443 188.573 * * [simplify]: Extracting #5: cost 155 inf + 47381 188.603 * * [simplify]: Extracting #6: cost 4 inf + 112914 188.635 * * [simplify]: Extracting #7: cost 0 inf + 113852 188.671 * * [simplify]: Extracting #8: cost 0 inf + 113847 188.697 * * [simplify]: Extracting #9: cost 0 inf + 113846 188.722 * [simplify]: Simplified to (- (+ (* (/ (- 1 k) 2) (log n)) (* (/ (- 1 k) 4) (log (* 2 PI)))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* 2 PI))))) 188.722 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (/ (- 1 k) 2) (log n)) (* (/ (- 1 k) 4) (log (* 2 PI)))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* 2 PI))))))) 188.722 * * * * [progress]: [ 157 / 417 ] simplifiying candidate # 188.722 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 188.723 * * [simplify]: iters left: 6 (20 enodes) 188.733 * * [simplify]: iters left: 5 (92 enodes) 188.750 * * [simplify]: iters left: 4 (183 enodes) 188.823 * * [simplify]: iters left: 3 (486 enodes) 189.055 * * [simplify]: Extracting #0: cost 1 inf + 0 189.055 * * [simplify]: Extracting #1: cost 63 inf + 0 189.057 * * [simplify]: Extracting #2: cost 327 inf + 1 189.061 * * [simplify]: Extracting #3: cost 441 inf + 74 189.071 * * [simplify]: Extracting #4: cost 334 inf + 35776 189.119 * * [simplify]: Extracting #5: cost 50 inf + 140557 189.181 * * [simplify]: Extracting #6: cost 0 inf + 154891 189.244 * * [simplify]: Extracting #7: cost 0 inf + 154211 189.304 * * [simplify]: Extracting #8: cost 0 inf + 154131 189.366 * [simplify]: Simplified to (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (- (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (log (sqrt k)))) 189.366 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (- (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (log (sqrt k)))))) 189.366 * * * * [progress]: [ 158 / 417 ] simplifiying candidate # 189.367 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 189.367 * * [simplify]: iters left: 6 (20 enodes) 189.378 * * [simplify]: iters left: 5 (91 enodes) 189.409 * * [simplify]: iters left: 4 (180 enodes) 189.493 * * [simplify]: iters left: 3 (438 enodes) 189.694 * * [simplify]: Extracting #0: cost 1 inf + 0 189.694 * * [simplify]: Extracting #1: cost 54 inf + 0 189.695 * * [simplify]: Extracting #2: cost 256 inf + 1 189.698 * * [simplify]: Extracting #3: cost 344 inf + 75 189.702 * * [simplify]: Extracting #4: cost 317 inf + 6443 189.716 * * [simplify]: Extracting #5: cost 155 inf + 47381 189.743 * * [simplify]: Extracting #6: cost 4 inf + 112914 189.776 * * [simplify]: Extracting #7: cost 0 inf + 113852 189.823 * * [simplify]: Extracting #8: cost 0 inf + 113847 189.854 * * [simplify]: Extracting #9: cost 0 inf + 113846 189.891 * [simplify]: Simplified to (- (+ (* (/ (- 1 k) 2) (log n)) (* (/ (- 1 k) 4) (log (* 2 PI)))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* 2 PI))))) 189.891 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (/ (- 1 k) 2) (log n)) (* (/ (- 1 k) 4) (log (* 2 PI)))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* 2 PI))))))) 189.891 * * * * [progress]: [ 159 / 417 ] simplifiying candidate # 189.892 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 189.892 * * [simplify]: iters left: 6 (20 enodes) 189.906 * * [simplify]: iters left: 5 (91 enodes) 189.930 * * [simplify]: iters left: 4 (180 enodes) 189.993 * * [simplify]: iters left: 3 (438 enodes) 190.199 * * [simplify]: Extracting #0: cost 1 inf + 0 190.199 * * [simplify]: Extracting #1: cost 54 inf + 0 190.200 * * [simplify]: Extracting #2: cost 256 inf + 1 190.202 * * [simplify]: Extracting #3: cost 344 inf + 75 190.204 * * [simplify]: Extracting #4: cost 317 inf + 6443 190.217 * * [simplify]: Extracting #5: cost 155 inf + 47381 190.256 * * [simplify]: Extracting #6: cost 4 inf + 112914 190.282 * * [simplify]: Extracting #7: cost 0 inf + 113852 190.321 * * [simplify]: Extracting #8: cost 0 inf + 113847 190.346 * * [simplify]: Extracting #9: cost 0 inf + 113846 190.379 * [simplify]: Simplified to (- (+ (* (/ (- 1 k) 2) (log n)) (* (/ (- 1 k) 4) (log (* 2 PI)))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* 2 PI))))) 190.379 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (/ (- 1 k) 2) (log n)) (* (/ (- 1 k) 4) (log (* 2 PI)))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* 2 PI))))))) 190.379 * * * * [progress]: [ 160 / 417 ] simplifiying candidate # 190.379 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 190.379 * * [simplify]: iters left: 6 (20 enodes) 190.386 * * [simplify]: iters left: 5 (92 enodes) 190.405 * * [simplify]: iters left: 4 (183 enodes) 190.490 * * [simplify]: iters left: 3 (486 enodes) 190.715 * * [simplify]: Extracting #0: cost 1 inf + 0 190.715 * * [simplify]: Extracting #1: cost 63 inf + 0 190.716 * * [simplify]: Extracting #2: cost 327 inf + 1 190.718 * * [simplify]: Extracting #3: cost 441 inf + 74 190.724 * * [simplify]: Extracting #4: cost 334 inf + 35776 190.748 * * [simplify]: Extracting #5: cost 50 inf + 140557 190.789 * * [simplify]: Extracting #6: cost 0 inf + 154891 190.820 * * [simplify]: Extracting #7: cost 0 inf + 154211 190.872 * * [simplify]: Extracting #8: cost 0 inf + 154131 190.903 * [simplify]: Simplified to (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (- (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (log (sqrt k)))) 190.903 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (- (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (log (sqrt k)))))) 190.903 * * * * [progress]: [ 161 / 417 ] simplifiying candidate # 190.903 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2)))) 190.904 * * [simplify]: iters left: 6 (22 enodes) 190.911 * * [simplify]: iters left: 5 (100 enodes) 190.929 * * [simplify]: iters left: 4 (210 enodes) 191.017 * * [simplify]: Extracting #0: cost 1 inf + 0 191.017 * * [simplify]: Extracting #1: cost 25 inf + 0 191.018 * * [simplify]: Extracting #2: cost 105 inf + 1 191.019 * * [simplify]: Extracting #3: cost 165 inf + 74 191.020 * * [simplify]: Extracting #4: cost 157 inf + 1058 191.026 * * [simplify]: Extracting #5: cost 65 inf + 24623 191.042 * * [simplify]: Extracting #6: cost 1 inf + 49038 191.054 * * [simplify]: Extracting #7: cost 0 inf + 49206 191.067 * [simplify]: Simplified to (+ (+ (* (- 1/4 (/ k 4)) (log (* 2 PI))) (- (* (- 1/4 (/ k 4)) (log (* 2 PI))) (log (sqrt k)))) (/ (log n) (/ 2 (- 1 k)))) 191.067 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (* (- 1/4 (/ k 4)) (log (* 2 PI))) (- (* (- 1/4 (/ k 4)) (log (* 2 PI))) (log (sqrt k)))) (/ (log n) (/ 2 (- 1 k)))))) 191.067 * * * * [progress]: [ 162 / 417 ] simplifiying candidate # 191.067 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2)))) 191.068 * * [simplify]: iters left: 6 (22 enodes) 191.074 * * [simplify]: iters left: 5 (100 enodes) 191.092 * * [simplify]: iters left: 4 (210 enodes) 191.199 * * [simplify]: Extracting #0: cost 1 inf + 0 191.199 * * [simplify]: Extracting #1: cost 25 inf + 0 191.199 * * [simplify]: Extracting #2: cost 105 inf + 1 191.200 * * [simplify]: Extracting #3: cost 165 inf + 74 191.201 * * [simplify]: Extracting #4: cost 157 inf + 1058 191.208 * * [simplify]: Extracting #5: cost 65 inf + 24623 191.226 * * [simplify]: Extracting #6: cost 1 inf + 49038 191.245 * * [simplify]: Extracting #7: cost 0 inf + 49206 191.260 * [simplify]: Simplified to (+ (+ (* (- 1/4 (/ k 4)) (log (* 2 PI))) (- (* (- 1/4 (/ k 4)) (log (* 2 PI))) (log (sqrt k)))) (/ (log n) (/ 2 (- 1 k)))) 191.260 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (* (- 1/4 (/ k 4)) (log (* 2 PI))) (- (* (- 1/4 (/ k 4)) (log (* 2 PI))) (log (sqrt k)))) (/ (log n) (/ 2 (- 1 k)))))) 191.260 * * * * [progress]: [ 163 / 417 ] simplifiying candidate # 191.260 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2))))) 191.261 * * [simplify]: iters left: 6 (22 enodes) 191.267 * * [simplify]: iters left: 5 (101 enodes) 191.285 * * [simplify]: iters left: 4 (212 enodes) 191.354 * * [simplify]: Extracting #0: cost 1 inf + 0 191.354 * * [simplify]: Extracting #1: cost 26 inf + 0 191.354 * * [simplify]: Extracting #2: cost 114 inf + 1 191.355 * * [simplify]: Extracting #3: cost 178 inf + 3 191.356 * * [simplify]: Extracting #4: cost 173 inf + 731 191.357 * * [simplify]: Extracting #5: cost 142 inf + 5091 191.362 * * [simplify]: Extracting #6: cost 43 inf + 33926 191.382 * * [simplify]: Extracting #7: cost 2 inf + 52413 191.397 * * [simplify]: Extracting #8: cost 0 inf + 53385 191.406 * [simplify]: Simplified to (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (+ (+ (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))) (* (/ (- 1 k) 4) (log n))) (* (/ (- 1 k) 4) (log n)))) 191.406 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (+ (+ (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))) (* (/ (- 1 k) 4) (log n))) (* (/ (- 1 k) 4) (log n)))))) 191.407 * * * * [progress]: [ 164 / 417 ] simplifiying candidate # 191.407 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 191.407 * * [simplify]: iters left: 6 (21 enodes) 191.413 * * [simplify]: iters left: 5 (97 enodes) 191.435 * * [simplify]: iters left: 4 (215 enodes) 191.528 * * [simplify]: Extracting #0: cost 1 inf + 0 191.528 * * [simplify]: Extracting #1: cost 28 inf + 0 191.528 * * [simplify]: Extracting #2: cost 115 inf + 1 191.529 * * [simplify]: Extracting #3: cost 179 inf + 74 191.529 * * [simplify]: Extracting #4: cost 188 inf + 941 191.531 * * [simplify]: Extracting #5: cost 151 inf + 6594 191.536 * * [simplify]: Extracting #6: cost 66 inf + 33789 191.545 * * [simplify]: Extracting #7: cost 8 inf + 62563 191.563 * * [simplify]: Extracting #8: cost 0 inf + 66179 191.576 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))) (+ (* (/ (- 1 k) 2) (log n)) (* (/ (- 1 k) 4) (log (* 2 PI))))) 191.576 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))) (+ (* (/ (- 1 k) 2) (log n)) (* (/ (- 1 k) 4) (log (* 2 PI))))))) 191.576 * * * * [progress]: [ 165 / 417 ] simplifiying candidate # 191.576 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 191.577 * * [simplify]: iters left: 6 (24 enodes) 191.586 * * [simplify]: iters left: 5 (97 enodes) 191.603 * * [simplify]: iters left: 4 (185 enodes) 191.687 * * [simplify]: Extracting #0: cost 1 inf + 0 191.688 * * [simplify]: Extracting #1: cost 27 inf + 0 191.688 * * [simplify]: Extracting #2: cost 108 inf + 1 191.689 * * [simplify]: Extracting #3: cost 142 inf + 3 191.690 * * [simplify]: Extracting #4: cost 134 inf + 872 191.693 * * [simplify]: Extracting #5: cost 73 inf + 10751 191.706 * * [simplify]: Extracting #6: cost 4 inf + 39304 191.723 * * [simplify]: Extracting #7: cost 0 inf + 41007 191.739 * [simplify]: Simplified to (+ (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k)))) (* (/ (- 1 k) 2) (log n))) 191.739 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k)))) (* (/ (- 1 k) 2) (log n))))) 191.740 * * * * [progress]: [ 166 / 417 ] simplifiying candidate # 191.740 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 191.740 * * [simplify]: iters left: 6 (24 enodes) 191.753 * * [simplify]: iters left: 5 (97 enodes) 191.786 * * [simplify]: iters left: 4 (185 enodes) 191.855 * * [simplify]: Extracting #0: cost 1 inf + 0 191.855 * * [simplify]: Extracting #1: cost 27 inf + 0 191.855 * * [simplify]: Extracting #2: cost 108 inf + 1 191.855 * * [simplify]: Extracting #3: cost 142 inf + 3 191.856 * * [simplify]: Extracting #4: cost 134 inf + 872 191.858 * * [simplify]: Extracting #5: cost 73 inf + 10751 191.864 * * [simplify]: Extracting #6: cost 4 inf + 39304 191.873 * * [simplify]: Extracting #7: cost 0 inf + 41007 191.881 * [simplify]: Simplified to (+ (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k)))) (* (/ (- 1 k) 2) (log n))) 191.881 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k)))) (* (/ (- 1 k) 2) (log n))))) 191.881 * * * * [progress]: [ 167 / 417 ] simplifiying candidate # 191.882 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 191.882 * * [simplify]: iters left: 6 (24 enodes) 191.888 * * [simplify]: iters left: 5 (98 enodes) 191.915 * * [simplify]: iters left: 4 (188 enodes) 191.991 * * [simplify]: Extracting #0: cost 1 inf + 0 191.991 * * [simplify]: Extracting #1: cost 30 inf + 0 191.991 * * [simplify]: Extracting #2: cost 120 inf + 1 191.992 * * [simplify]: Extracting #3: cost 163 inf + 3 191.993 * * [simplify]: Extracting #4: cost 157 inf + 689 191.997 * * [simplify]: Extracting #5: cost 106 inf + 9529 192.007 * * [simplify]: Extracting #6: cost 32 inf + 33628 192.026 * * [simplify]: Extracting #7: cost 0 inf + 50310 192.044 * * [simplify]: Extracting #8: cost 0 inf + 50025 192.062 * * [simplify]: Extracting #9: cost 0 inf + 49985 192.071 * [simplify]: Simplified to (- (+ (+ (* (log (* 2 PI)) (+ (- 1/4 (/ k 4)) (- 1/4 (/ k 4)))) (* (- 1/4 (/ k 4)) (log n))) (* (- 1/4 (/ k 4)) (log n))) (log (sqrt k))) 192.071 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (+ (* (log (* 2 PI)) (+ (- 1/4 (/ k 4)) (- 1/4 (/ k 4)))) (* (- 1/4 (/ k 4)) (log n))) (* (- 1/4 (/ k 4)) (log n))) (log (sqrt k))))) 192.071 * * * * [progress]: [ 168 / 417 ] simplifiying candidate # 192.072 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 192.072 * * [simplify]: iters left: 6 (20 enodes) 192.078 * * [simplify]: iters left: 5 (91 enodes) 192.096 * * [simplify]: iters left: 4 (180 enodes) 192.180 * * [simplify]: iters left: 3 (438 enodes) 192.337 * * [simplify]: Extracting #0: cost 1 inf + 0 192.337 * * [simplify]: Extracting #1: cost 54 inf + 0 192.338 * * [simplify]: Extracting #2: cost 256 inf + 1 192.341 * * [simplify]: Extracting #3: cost 344 inf + 75 192.345 * * [simplify]: Extracting #4: cost 317 inf + 6443 192.359 * * [simplify]: Extracting #5: cost 155 inf + 47381 192.388 * * [simplify]: Extracting #6: cost 4 inf + 112914 192.424 * * [simplify]: Extracting #7: cost 0 inf + 113852 192.450 * * [simplify]: Extracting #8: cost 0 inf + 113847 192.488 * * [simplify]: Extracting #9: cost 0 inf + 113846 192.516 * [simplify]: Simplified to (- (+ (* (/ (- 1 k) 2) (log n)) (* (/ (- 1 k) 4) (log (* 2 PI)))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* 2 PI))))) 192.516 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (/ (- 1 k) 2) (log n)) (* (/ (- 1 k) 4) (log (* 2 PI)))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* 2 PI))))))) 192.516 * * * * [progress]: [ 169 / 417 ] simplifiying candidate # 192.516 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 192.517 * * [simplify]: iters left: 6 (20 enodes) 192.529 * * [simplify]: iters left: 5 (91 enodes) 192.561 * * [simplify]: iters left: 4 (180 enodes) 192.647 * * [simplify]: iters left: 3 (438 enodes) 192.829 * * [simplify]: Extracting #0: cost 1 inf + 0 192.829 * * [simplify]: Extracting #1: cost 54 inf + 0 192.830 * * [simplify]: Extracting #2: cost 256 inf + 1 192.831 * * [simplify]: Extracting #3: cost 344 inf + 75 192.834 * * [simplify]: Extracting #4: cost 317 inf + 6443 192.840 * * [simplify]: Extracting #5: cost 155 inf + 47381 192.860 * * [simplify]: Extracting #6: cost 4 inf + 112914 192.905 * * [simplify]: Extracting #7: cost 0 inf + 113852 192.928 * * [simplify]: Extracting #8: cost 0 inf + 113847 192.953 * * [simplify]: Extracting #9: cost 0 inf + 113846 192.978 * [simplify]: Simplified to (- (+ (* (/ (- 1 k) 2) (log n)) (* (/ (- 1 k) 4) (log (* 2 PI)))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* 2 PI))))) 192.978 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (/ (- 1 k) 2) (log n)) (* (/ (- 1 k) 4) (log (* 2 PI)))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* 2 PI))))))) 192.978 * * * * [progress]: [ 170 / 417 ] simplifiying candidate # 192.978 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 192.978 * * [simplify]: iters left: 6 (20 enodes) 192.985 * * [simplify]: iters left: 5 (92 enodes) 193.001 * * [simplify]: iters left: 4 (183 enodes) 193.059 * * [simplify]: iters left: 3 (486 enodes) 193.256 * * [simplify]: Extracting #0: cost 1 inf + 0 193.256 * * [simplify]: Extracting #1: cost 63 inf + 0 193.258 * * [simplify]: Extracting #2: cost 327 inf + 1 193.261 * * [simplify]: Extracting #3: cost 441 inf + 74 193.271 * * [simplify]: Extracting #4: cost 334 inf + 35776 193.324 * * [simplify]: Extracting #5: cost 50 inf + 140557 193.369 * * [simplify]: Extracting #6: cost 0 inf + 154891 193.417 * * [simplify]: Extracting #7: cost 0 inf + 154211 193.468 * * [simplify]: Extracting #8: cost 0 inf + 154131 193.513 * [simplify]: Simplified to (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (- (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (log (sqrt k)))) 193.513 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (- (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (log (sqrt k)))))) 193.514 * * * * [progress]: [ 171 / 417 ] simplifiying candidate # 193.514 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 193.514 * * [simplify]: iters left: 6 (20 enodes) 193.524 * * [simplify]: iters left: 5 (91 enodes) 193.542 * * [simplify]: iters left: 4 (180 enodes) 193.611 * * [simplify]: iters left: 3 (438 enodes) 193.810 * * [simplify]: Extracting #0: cost 1 inf + 0 193.810 * * [simplify]: Extracting #1: cost 54 inf + 0 193.812 * * [simplify]: Extracting #2: cost 256 inf + 1 193.820 * * [simplify]: Extracting #3: cost 344 inf + 75 193.824 * * [simplify]: Extracting #4: cost 317 inf + 6443 193.837 * * [simplify]: Extracting #5: cost 155 inf + 47381 193.865 * * [simplify]: Extracting #6: cost 4 inf + 112914 193.896 * * [simplify]: Extracting #7: cost 0 inf + 113852 193.944 * * [simplify]: Extracting #8: cost 0 inf + 113847 193.976 * * [simplify]: Extracting #9: cost 0 inf + 113846 194.010 * [simplify]: Simplified to (- (+ (* (/ (- 1 k) 2) (log n)) (* (/ (- 1 k) 4) (log (* 2 PI)))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* 2 PI))))) 194.010 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (/ (- 1 k) 2) (log n)) (* (/ (- 1 k) 4) (log (* 2 PI)))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* 2 PI))))))) 194.010 * * * * [progress]: [ 172 / 417 ] simplifiying candidate # 194.010 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 194.011 * * [simplify]: iters left: 6 (20 enodes) 194.023 * * [simplify]: iters left: 5 (91 enodes) 194.043 * * [simplify]: iters left: 4 (180 enodes) 194.093 * * [simplify]: iters left: 3 (438 enodes) 194.306 * * [simplify]: Extracting #0: cost 1 inf + 0 194.306 * * [simplify]: Extracting #1: cost 54 inf + 0 194.307 * * [simplify]: Extracting #2: cost 256 inf + 1 194.308 * * [simplify]: Extracting #3: cost 344 inf + 75 194.311 * * [simplify]: Extracting #4: cost 317 inf + 6443 194.318 * * [simplify]: Extracting #5: cost 155 inf + 47381 194.341 * * [simplify]: Extracting #6: cost 4 inf + 112914 194.366 * * [simplify]: Extracting #7: cost 0 inf + 113852 194.390 * * [simplify]: Extracting #8: cost 0 inf + 113847 194.434 * * [simplify]: Extracting #9: cost 0 inf + 113846 194.458 * [simplify]: Simplified to (- (+ (* (/ (- 1 k) 2) (log n)) (* (/ (- 1 k) 4) (log (* 2 PI)))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* 2 PI))))) 194.458 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (/ (- 1 k) 2) (log n)) (* (/ (- 1 k) 4) (log (* 2 PI)))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* 2 PI))))))) 194.458 * * * * [progress]: [ 173 / 417 ] simplifiying candidate # 194.458 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 194.458 * * [simplify]: iters left: 6 (20 enodes) 194.468 * * [simplify]: iters left: 5 (92 enodes) 194.494 * * [simplify]: iters left: 4 (183 enodes) 194.561 * * [simplify]: iters left: 3 (486 enodes) 194.816 * * [simplify]: Extracting #0: cost 1 inf + 0 194.817 * * [simplify]: Extracting #1: cost 63 inf + 0 194.818 * * [simplify]: Extracting #2: cost 327 inf + 1 194.822 * * [simplify]: Extracting #3: cost 441 inf + 74 194.832 * * [simplify]: Extracting #4: cost 334 inf + 35776 194.879 * * [simplify]: Extracting #5: cost 50 inf + 140557 194.940 * * [simplify]: Extracting #6: cost 0 inf + 154891 195.003 * * [simplify]: Extracting #7: cost 0 inf + 154211 195.043 * * [simplify]: Extracting #8: cost 0 inf + 154131 195.074 * [simplify]: Simplified to (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (- (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (log (sqrt k)))) 195.074 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (- (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (log (sqrt k)))))) 195.075 * * * * [progress]: [ 174 / 417 ] simplifiying candidate # 195.075 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2)))) 195.075 * * [simplify]: iters left: 6 (22 enodes) 195.082 * * [simplify]: iters left: 5 (100 enodes) 195.109 * * [simplify]: iters left: 4 (210 enodes) 195.217 * * [simplify]: Extracting #0: cost 1 inf + 0 195.217 * * [simplify]: Extracting #1: cost 25 inf + 0 195.217 * * [simplify]: Extracting #2: cost 105 inf + 1 195.218 * * [simplify]: Extracting #3: cost 165 inf + 74 195.219 * * [simplify]: Extracting #4: cost 157 inf + 1058 195.226 * * [simplify]: Extracting #5: cost 65 inf + 24623 195.244 * * [simplify]: Extracting #6: cost 1 inf + 49038 195.263 * * [simplify]: Extracting #7: cost 0 inf + 49206 195.281 * [simplify]: Simplified to (+ (+ (* (- 1/4 (/ k 4)) (log (* 2 PI))) (- (* (- 1/4 (/ k 4)) (log (* 2 PI))) (log (sqrt k)))) (/ (log n) (/ 2 (- 1 k)))) 195.282 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (* (- 1/4 (/ k 4)) (log (* 2 PI))) (- (* (- 1/4 (/ k 4)) (log (* 2 PI))) (log (sqrt k)))) (/ (log n) (/ 2 (- 1 k)))))) 195.282 * * * * [progress]: [ 175 / 417 ] simplifiying candidate # 195.282 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2)))) 195.282 * * [simplify]: iters left: 6 (22 enodes) 195.295 * * [simplify]: iters left: 5 (100 enodes) 195.335 * * [simplify]: iters left: 4 (210 enodes) 195.410 * * [simplify]: Extracting #0: cost 1 inf + 0 195.410 * * [simplify]: Extracting #1: cost 25 inf + 0 195.411 * * [simplify]: Extracting #2: cost 105 inf + 1 195.412 * * [simplify]: Extracting #3: cost 165 inf + 74 195.413 * * [simplify]: Extracting #4: cost 157 inf + 1058 195.419 * * [simplify]: Extracting #5: cost 65 inf + 24623 195.431 * * [simplify]: Extracting #6: cost 1 inf + 49038 195.441 * * [simplify]: Extracting #7: cost 0 inf + 49206 195.450 * [simplify]: Simplified to (+ (+ (* (- 1/4 (/ k 4)) (log (* 2 PI))) (- (* (- 1/4 (/ k 4)) (log (* 2 PI))) (log (sqrt k)))) (/ (log n) (/ 2 (- 1 k)))) 195.450 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (* (- 1/4 (/ k 4)) (log (* 2 PI))) (- (* (- 1/4 (/ k 4)) (log (* 2 PI))) (log (sqrt k)))) (/ (log n) (/ 2 (- 1 k)))))) 195.451 * * * * [progress]: [ 176 / 417 ] simplifiying candidate # 195.451 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2))))) 195.451 * * [simplify]: iters left: 6 (22 enodes) 195.458 * * [simplify]: iters left: 5 (101 enodes) 195.477 * * [simplify]: iters left: 4 (212 enodes) 195.565 * * [simplify]: Extracting #0: cost 1 inf + 0 195.565 * * [simplify]: Extracting #1: cost 26 inf + 0 195.565 * * [simplify]: Extracting #2: cost 114 inf + 1 195.566 * * [simplify]: Extracting #3: cost 178 inf + 3 195.566 * * [simplify]: Extracting #4: cost 173 inf + 731 195.568 * * [simplify]: Extracting #5: cost 142 inf + 5091 195.573 * * [simplify]: Extracting #6: cost 43 inf + 33926 195.588 * * [simplify]: Extracting #7: cost 2 inf + 52413 195.600 * * [simplify]: Extracting #8: cost 0 inf + 53385 195.610 * [simplify]: Simplified to (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (+ (+ (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))) (* (/ (- 1 k) 4) (log n))) (* (/ (- 1 k) 4) (log n)))) 195.610 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (+ (+ (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))) (* (/ (- 1 k) 4) (log n))) (* (/ (- 1 k) 4) (log n)))))) 195.610 * * * * [progress]: [ 177 / 417 ] simplifiying candidate # 195.610 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 195.610 * * [simplify]: iters left: 6 (21 enodes) 195.620 * * [simplify]: iters left: 5 (97 enodes) 195.645 * * [simplify]: iters left: 4 (215 enodes) 195.706 * * [simplify]: Extracting #0: cost 1 inf + 0 195.706 * * [simplify]: Extracting #1: cost 28 inf + 0 195.706 * * [simplify]: Extracting #2: cost 115 inf + 1 195.707 * * [simplify]: Extracting #3: cost 179 inf + 74 195.708 * * [simplify]: Extracting #4: cost 188 inf + 941 195.709 * * [simplify]: Extracting #5: cost 151 inf + 6594 195.716 * * [simplify]: Extracting #6: cost 66 inf + 33789 195.735 * * [simplify]: Extracting #7: cost 8 inf + 62563 195.756 * * [simplify]: Extracting #8: cost 0 inf + 66179 195.766 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))) (+ (* (/ (- 1 k) 2) (log n)) (* (/ (- 1 k) 4) (log (* 2 PI))))) 195.767 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))) (+ (* (/ (- 1 k) 2) (log n)) (* (/ (- 1 k) 4) (log (* 2 PI))))))) 195.767 * * * * [progress]: [ 178 / 417 ] simplifiying candidate # 195.767 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 195.767 * * [simplify]: iters left: 6 (24 enodes) 195.774 * * [simplify]: iters left: 5 (106 enodes) 195.800 * * [simplify]: iters left: 4 (219 enodes) 195.915 * * [simplify]: Extracting #0: cost 1 inf + 0 195.915 * * [simplify]: Extracting #1: cost 32 inf + 0 195.915 * * [simplify]: Extracting #2: cost 135 inf + 1 195.916 * * [simplify]: Extracting #3: cost 185 inf + 3 195.918 * * [simplify]: Extracting #4: cost 158 inf + 3818 195.922 * * [simplify]: Extracting #5: cost 78 inf + 24618 195.927 * * [simplify]: Extracting #6: cost 43 inf + 35373 195.937 * * [simplify]: Extracting #7: cost 8 inf + 52634 195.951 * * [simplify]: Extracting #8: cost 0 inf + 57795 195.973 * [simplify]: Simplified to (+ (/ (log n) (/ 2 (- 1 k))) (- (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (* (/ (- 1 k) 4) (log (* 2 PI)))) (log (sqrt k)))) 195.973 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (/ (log n) (/ 2 (- 1 k))) (- (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (* (/ (- 1 k) 4) (log (* 2 PI)))) (log (sqrt k)))))) 195.974 * * * * [progress]: [ 179 / 417 ] simplifiying candidate # 195.974 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 195.974 * * [simplify]: iters left: 6 (24 enodes) 195.988 * * [simplify]: iters left: 5 (106 enodes) 196.027 * * [simplify]: iters left: 4 (219 enodes) 196.164 * * [simplify]: Extracting #0: cost 1 inf + 0 196.165 * * [simplify]: Extracting #1: cost 32 inf + 0 196.165 * * [simplify]: Extracting #2: cost 135 inf + 1 196.166 * * [simplify]: Extracting #3: cost 185 inf + 3 196.168 * * [simplify]: Extracting #4: cost 158 inf + 3818 196.176 * * [simplify]: Extracting #5: cost 78 inf + 24618 196.188 * * [simplify]: Extracting #6: cost 43 inf + 35373 196.207 * * [simplify]: Extracting #7: cost 8 inf + 52634 196.229 * * [simplify]: Extracting #8: cost 0 inf + 57795 196.252 * [simplify]: Simplified to (+ (/ (log n) (/ 2 (- 1 k))) (- (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (* (/ (- 1 k) 4) (log (* 2 PI)))) (log (sqrt k)))) 196.252 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (/ (log n) (/ 2 (- 1 k))) (- (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (* (/ (- 1 k) 4) (log (* 2 PI)))) (log (sqrt k)))))) 196.252 * * * * [progress]: [ 180 / 417 ] simplifiying candidate # 196.252 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 196.253 * * [simplify]: iters left: 6 (24 enodes) 196.266 * * [simplify]: iters left: 5 (107 enodes) 196.306 * * [simplify]: iters left: 4 (221 enodes) 196.441 * * [simplify]: Extracting #0: cost 1 inf + 0 196.441 * * [simplify]: Extracting #1: cost 33 inf + 0 196.442 * * [simplify]: Extracting #2: cost 139 inf + 1 196.443 * * [simplify]: Extracting #3: cost 203 inf + 3 196.445 * * [simplify]: Extracting #4: cost 170 inf + 4547 196.454 * * [simplify]: Extracting #5: cost 80 inf + 29123 196.469 * * [simplify]: Extracting #6: cost 13 inf + 57549 196.481 * * [simplify]: Extracting #7: cost 0 inf + 65298 196.493 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))) (+ (* (log n) (/ (- 1 k) 2)) (* (/ (- 1 k) 4) (log (* 2 PI))))) 196.493 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))) (+ (* (log n) (/ (- 1 k) 2)) (* (/ (- 1 k) 4) (log (* 2 PI))))))) 196.493 * * * * [progress]: [ 181 / 417 ] simplifiying candidate # 196.493 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 196.493 * * [simplify]: iters left: 6 (22 enodes) 196.500 * * [simplify]: iters left: 5 (100 enodes) 196.535 * * [simplify]: iters left: 4 (217 enodes) 196.647 * * [simplify]: Extracting #0: cost 1 inf + 0 196.648 * * [simplify]: Extracting #1: cost 26 inf + 0 196.648 * * [simplify]: Extracting #2: cost 107 inf + 1 196.649 * * [simplify]: Extracting #3: cost 167 inf + 74 196.654 * * [simplify]: Extracting #4: cost 157 inf + 1179 196.660 * * [simplify]: Extracting #5: cost 69 inf + 22832 196.675 * * [simplify]: Extracting #6: cost 5 inf + 47812 196.693 * * [simplify]: Extracting #7: cost 0 inf + 49447 196.711 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (log (* 2 PI))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* 2 PI))))) (* (/ (log n) 2) (- 1 k))) 196.712 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (log (* 2 PI))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* 2 PI))))) (* (/ (log n) 2) (- 1 k))))) 196.712 * * * * [progress]: [ 182 / 417 ] simplifiying candidate # 196.712 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 196.712 * * [simplify]: iters left: 6 (22 enodes) 196.726 * * [simplify]: iters left: 5 (100 enodes) 196.760 * * [simplify]: iters left: 4 (217 enodes) 196.857 * * [simplify]: Extracting #0: cost 1 inf + 0 196.857 * * [simplify]: Extracting #1: cost 26 inf + 0 196.858 * * [simplify]: Extracting #2: cost 107 inf + 1 196.858 * * [simplify]: Extracting #3: cost 167 inf + 74 196.859 * * [simplify]: Extracting #4: cost 157 inf + 1179 196.862 * * [simplify]: Extracting #5: cost 69 inf + 22832 196.869 * * [simplify]: Extracting #6: cost 5 inf + 47812 196.884 * * [simplify]: Extracting #7: cost 0 inf + 49447 196.906 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (log (* 2 PI))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* 2 PI))))) (* (/ (log n) 2) (- 1 k))) 196.906 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (log (* 2 PI))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* 2 PI))))) (* (/ (log n) 2) (- 1 k))))) 196.906 * * * * [progress]: [ 183 / 417 ] simplifiying candidate # 196.906 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 196.906 * * [simplify]: iters left: 6 (22 enodes) 196.919 * * [simplify]: iters left: 5 (101 enodes) 196.953 * * [simplify]: iters left: 4 (222 enodes) 197.032 * * [simplify]: Extracting #0: cost 1 inf + 0 197.032 * * [simplify]: Extracting #1: cost 27 inf + 0 197.032 * * [simplify]: Extracting #2: cost 118 inf + 1 197.033 * * [simplify]: Extracting #3: cost 184 inf + 74 197.035 * * [simplify]: Extracting #4: cost 158 inf + 3470 197.043 * * [simplify]: Extracting #5: cost 61 inf + 32167 197.061 * * [simplify]: Extracting #6: cost 3 inf + 54822 197.080 * * [simplify]: Extracting #7: cost 0 inf + 55800 197.099 * [simplify]: Simplified to (+ (+ (- (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log (* 2 PI)))) (log (sqrt k))) (* (/ (- 1 k) 4) (log n))) (* (/ (- 1 k) 4) (log n))) 197.099 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (- (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log (* 2 PI)))) (log (sqrt k))) (* (/ (- 1 k) 4) (log n))) (* (/ (- 1 k) 4) (log n))))) 197.099 * * * * [progress]: [ 184 / 417 ] simplifiying candidate # 197.100 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 197.100 * * [simplify]: iters left: 6 (22 enodes) 197.112 * * [simplify]: iters left: 5 (100 enodes) 197.150 * * [simplify]: iters left: 4 (217 enodes) 197.229 * * [simplify]: Extracting #0: cost 1 inf + 0 197.229 * * [simplify]: Extracting #1: cost 26 inf + 0 197.230 * * [simplify]: Extracting #2: cost 107 inf + 1 197.231 * * [simplify]: Extracting #3: cost 167 inf + 74 197.232 * * [simplify]: Extracting #4: cost 157 inf + 1179 197.238 * * [simplify]: Extracting #5: cost 69 inf + 22832 197.257 * * [simplify]: Extracting #6: cost 5 inf + 47812 197.275 * * [simplify]: Extracting #7: cost 0 inf + 49447 197.293 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (log (* 2 PI))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* 2 PI))))) (* (/ (log n) 2) (- 1 k))) 197.293 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (log (* 2 PI))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* 2 PI))))) (* (/ (log n) 2) (- 1 k))))) 197.294 * * * * [progress]: [ 185 / 417 ] simplifiying candidate # 197.294 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 197.294 * * [simplify]: iters left: 6 (22 enodes) 197.307 * * [simplify]: iters left: 5 (100 enodes) 197.342 * * [simplify]: iters left: 4 (217 enodes) 197.458 * * [simplify]: Extracting #0: cost 1 inf + 0 197.458 * * [simplify]: Extracting #1: cost 26 inf + 0 197.458 * * [simplify]: Extracting #2: cost 107 inf + 1 197.459 * * [simplify]: Extracting #3: cost 167 inf + 74 197.460 * * [simplify]: Extracting #4: cost 157 inf + 1179 197.466 * * [simplify]: Extracting #5: cost 69 inf + 22832 197.482 * * [simplify]: Extracting #6: cost 5 inf + 47812 197.494 * * [simplify]: Extracting #7: cost 0 inf + 49447 197.504 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (log (* 2 PI))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* 2 PI))))) (* (/ (log n) 2) (- 1 k))) 197.504 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (log (* 2 PI))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* 2 PI))))) (* (/ (log n) 2) (- 1 k))))) 197.504 * * * * [progress]: [ 186 / 417 ] simplifiying candidate # 197.504 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 197.504 * * [simplify]: iters left: 6 (22 enodes) 197.514 * * [simplify]: iters left: 5 (101 enodes) 197.542 * * [simplify]: iters left: 4 (222 enodes) 197.654 * * [simplify]: Extracting #0: cost 1 inf + 0 197.654 * * [simplify]: Extracting #1: cost 27 inf + 0 197.655 * * [simplify]: Extracting #2: cost 118 inf + 1 197.655 * * [simplify]: Extracting #3: cost 184 inf + 74 197.656 * * [simplify]: Extracting #4: cost 158 inf + 3470 197.660 * * [simplify]: Extracting #5: cost 61 inf + 32167 197.669 * * [simplify]: Extracting #6: cost 3 inf + 54822 197.682 * * [simplify]: Extracting #7: cost 0 inf + 55800 197.697 * [simplify]: Simplified to (+ (+ (- (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log (* 2 PI)))) (log (sqrt k))) (* (/ (- 1 k) 4) (log n))) (* (/ (- 1 k) 4) (log n))) 197.697 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (- (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log (* 2 PI)))) (log (sqrt k))) (* (/ (- 1 k) 4) (log n))) (* (/ (- 1 k) 4) (log n))))) 197.697 * * * * [progress]: [ 187 / 417 ] simplifiying candidate # 197.697 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2)))) 197.698 * * [simplify]: iters left: 6 (20 enodes) 197.704 * * [simplify]: iters left: 5 (90 enodes) 197.727 * * [simplify]: iters left: 4 (183 enodes) 197.791 * * [simplify]: iters left: 3 (434 enodes) 198.077 * * [simplify]: Extracting #0: cost 1 inf + 0 198.077 * * [simplify]: Extracting #1: cost 39 inf + 0 198.078 * * [simplify]: Extracting #2: cost 263 inf + 1 198.081 * * [simplify]: Extracting #3: cost 380 inf + 5 198.088 * * [simplify]: Extracting #4: cost 304 inf + 18565 198.116 * * [simplify]: Extracting #5: cost 95 inf + 83585 198.149 * * [simplify]: Extracting #6: cost 8 inf + 118701 198.174 * * [simplify]: Extracting #7: cost 0 inf + 122873 198.219 * * [simplify]: Extracting #8: cost 0 inf + 122872 198.268 * [simplify]: Simplified to (- (* (log n) (/ (- 1 k) 2)) (- (log (sqrt k)) (* (+ (log (* 2 PI)) (log (* 2 PI))) (/ (- 1 k) 4)))) 198.268 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (log n) (/ (- 1 k) 2)) (- (log (sqrt k)) (* (+ (log (* 2 PI)) (log (* 2 PI))) (/ (- 1 k) 4)))))) 198.268 * * * * [progress]: [ 188 / 417 ] simplifiying candidate # 198.268 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2)))) 198.269 * * [simplify]: iters left: 6 (20 enodes) 198.280 * * [simplify]: iters left: 5 (90 enodes) 198.310 * * [simplify]: iters left: 4 (183 enodes) 198.387 * * [simplify]: iters left: 3 (434 enodes) 198.658 * * [simplify]: Extracting #0: cost 1 inf + 0 198.658 * * [simplify]: Extracting #1: cost 39 inf + 0 198.659 * * [simplify]: Extracting #2: cost 263 inf + 1 198.661 * * [simplify]: Extracting #3: cost 380 inf + 5 198.664 * * [simplify]: Extracting #4: cost 304 inf + 18565 198.682 * * [simplify]: Extracting #5: cost 95 inf + 83585 198.705 * * [simplify]: Extracting #6: cost 8 inf + 118701 198.731 * * [simplify]: Extracting #7: cost 0 inf + 122873 198.771 * * [simplify]: Extracting #8: cost 0 inf + 122872 198.798 * [simplify]: Simplified to (- (* (log n) (/ (- 1 k) 2)) (- (log (sqrt k)) (* (+ (log (* 2 PI)) (log (* 2 PI))) (/ (- 1 k) 4)))) 198.798 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (log n) (/ (- 1 k) 2)) (- (log (sqrt k)) (* (+ (log (* 2 PI)) (log (* 2 PI))) (/ (- 1 k) 4)))))) 198.798 * * * * [progress]: [ 189 / 417 ] simplifiying candidate # 198.799 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2))))) 198.799 * * [simplify]: iters left: 6 (20 enodes) 198.811 * * [simplify]: iters left: 5 (91 enodes) 198.842 * * [simplify]: iters left: 4 (182 enodes) 198.918 * * [simplify]: iters left: 3 (457 enodes) 199.146 * * [simplify]: Extracting #0: cost 1 inf + 0 199.146 * * [simplify]: Extracting #1: cost 51 inf + 0 199.147 * * [simplify]: Extracting #2: cost 326 inf + 1 199.151 * * [simplify]: Extracting #3: cost 457 inf + 74 199.159 * * [simplify]: Extracting #4: cost 348 inf + 26135 199.211 * * [simplify]: Extracting #5: cost 47 inf + 141811 199.262 * * [simplify]: Extracting #6: cost 0 inf + 160529 199.313 * * [simplify]: Extracting #7: cost 0 inf + 159961 199.350 * [simplify]: Simplified to (+ (- (* (- 1/4 (/ k 4)) (+ (log n) (log (* 2 PI)))) (log (sqrt k))) (* (- 1/4 (/ k 4)) (+ (log n) (log (* 2 PI))))) 199.350 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (- 1/4 (/ k 4)) (+ (log n) (log (* 2 PI)))) (log (sqrt k))) (* (- 1/4 (/ k 4)) (+ (log n) (log (* 2 PI))))))) 199.350 * * * * [progress]: [ 190 / 417 ] simplifiying candidate # 199.351 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (log (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 199.351 * * [simplify]: iters left: 6 (20 enodes) 199.363 * * [simplify]: iters left: 5 (89 enodes) 199.394 * * [simplify]: iters left: 4 (185 enodes) 199.475 * * [simplify]: iters left: 3 (482 enodes) 199.791 * * [simplify]: Extracting #0: cost 1 inf + 0 199.792 * * [simplify]: Extracting #1: cost 53 inf + 0 199.793 * * [simplify]: Extracting #2: cost 322 inf + 1 199.796 * * [simplify]: Extracting #3: cost 456 inf + 3 199.811 * * [simplify]: Extracting #4: cost 398 inf + 34652 199.841 * * [simplify]: Extracting #5: cost 103 inf + 164970 199.892 * * [simplify]: Extracting #6: cost 13 inf + 195932 199.938 * * [simplify]: Extracting #7: cost 0 inf + 200422 199.997 * * [simplify]: Extracting #8: cost 0 inf + 200342 200.061 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n)))) 200.061 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n)))))) 200.061 * * * * [progress]: [ 191 / 417 ] simplifiying candidate # 200.061 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 200.061 * * [simplify]: iters left: 6 (21 enodes) 200.068 * * [simplify]: iters left: 5 (92 enodes) 200.084 * * [simplify]: iters left: 4 (169 enodes) 200.152 * * [simplify]: iters left: 3 (468 enodes) 200.400 * * [simplify]: Extracting #0: cost 1 inf + 0 200.400 * * [simplify]: Extracting #1: cost 72 inf + 0 200.403 * * [simplify]: Extracting #2: cost 384 inf + 1 200.406 * * [simplify]: Extracting #3: cost 460 inf + 186 200.415 * * [simplify]: Extracting #4: cost 374 inf + 22338 200.453 * * [simplify]: Extracting #5: cost 119 inf + 110837 200.512 * * [simplify]: Extracting #6: cost 8 inf + 169257 200.553 * * [simplify]: Extracting #7: cost 0 inf + 172106 200.594 * * [simplify]: Extracting #8: cost 0 inf + 172102 200.633 * [simplify]: Simplified to (+ (* (/ (- 1 k) 2) (log n)) (+ (/ (* (+ (log PI) (log 2)) (- 1 k)) 4) (- (/ (* (+ (log PI) (log 2)) (- 1 k)) 4) (log (sqrt k))))) 200.633 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 2) (log n)) (+ (/ (* (+ (log PI) (log 2)) (- 1 k)) 4) (- (/ (* (+ (log PI) (log 2)) (- 1 k)) 4) (log (sqrt k))))))) 200.633 * * * * [progress]: [ 192 / 417 ] simplifiying candidate # 200.633 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 200.634 * * [simplify]: iters left: 6 (21 enodes) 200.640 * * [simplify]: iters left: 5 (92 enodes) 200.657 * * [simplify]: iters left: 4 (169 enodes) 200.713 * * [simplify]: iters left: 3 (468 enodes) 200.926 * * [simplify]: Extracting #0: cost 1 inf + 0 200.926 * * [simplify]: Extracting #1: cost 72 inf + 0 200.928 * * [simplify]: Extracting #2: cost 384 inf + 1 200.929 * * [simplify]: Extracting #3: cost 460 inf + 186 200.934 * * [simplify]: Extracting #4: cost 374 inf + 22338 200.956 * * [simplify]: Extracting #5: cost 119 inf + 110837 201.021 * * [simplify]: Extracting #6: cost 8 inf + 169257 201.088 * * [simplify]: Extracting #7: cost 0 inf + 172106 201.126 * * [simplify]: Extracting #8: cost 0 inf + 172102 201.171 * [simplify]: Simplified to (+ (* (/ (- 1 k) 2) (log n)) (+ (/ (* (+ (log PI) (log 2)) (- 1 k)) 4) (- (/ (* (+ (log PI) (log 2)) (- 1 k)) 4) (log (sqrt k))))) 201.171 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 2) (log n)) (+ (/ (* (+ (log PI) (log 2)) (- 1 k)) 4) (- (/ (* (+ (log PI) (log 2)) (- 1 k)) 4) (log (sqrt k))))))) 201.171 * * * * [progress]: [ 193 / 417 ] simplifiying candidate # 201.171 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 201.171 * * [simplify]: iters left: 6 (21 enodes) 201.178 * * [simplify]: iters left: 5 (93 enodes) 201.197 * * [simplify]: iters left: 4 (172 enodes) 201.290 * * [simplify]: Extracting #0: cost 1 inf + 0 201.290 * * [simplify]: Extracting #1: cost 28 inf + 0 201.290 * * [simplify]: Extracting #2: cost 112 inf + 1 201.291 * * [simplify]: Extracting #3: cost 153 inf + 74 201.292 * * [simplify]: Extracting #4: cost 146 inf + 709 201.296 * * [simplify]: Extracting #5: cost 90 inf + 12902 201.310 * * [simplify]: Extracting #6: cost 11 inf + 45560 201.328 * * [simplify]: Extracting #7: cost 0 inf + 50479 201.351 * * [simplify]: Extracting #8: cost 0 inf + 50276 201.370 * [simplify]: Simplified to (- (+ (+ (* (+ (log PI) (log 2)) (+ (/ (- 1 k) 4) (/ (- 1 k) 4))) (* (/ (- 1 k) 4) (log n))) (* (/ (- 1 k) 4) (log n))) (log (sqrt k))) 201.370 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (+ (* (+ (log PI) (log 2)) (+ (/ (- 1 k) 4) (/ (- 1 k) 4))) (* (/ (- 1 k) 4) (log n))) (* (/ (- 1 k) 4) (log n))) (log (sqrt k))))) 201.370 * * * * [progress]: [ 194 / 417 ] simplifiying candidate # 201.371 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 201.371 * * [simplify]: iters left: 6 (24 enodes) 201.385 * * [simplify]: iters left: 5 (98 enodes) 201.417 * * [simplify]: iters left: 4 (178 enodes) 201.486 * * [simplify]: iters left: 3 (477 enodes) 201.776 * * [simplify]: Extracting #0: cost 1 inf + 0 201.776 * * [simplify]: Extracting #1: cost 72 inf + 0 201.778 * * [simplify]: Extracting #2: cost 367 inf + 1 201.786 * * [simplify]: Extracting #3: cost 448 inf + 186 201.794 * * [simplify]: Extracting #4: cost 351 inf + 22306 201.832 * * [simplify]: Extracting #5: cost 64 inf + 123623 201.894 * * [simplify]: Extracting #6: cost 0 inf + 155797 201.950 * * [simplify]: Extracting #7: cost 0 inf + 155751 201.986 * [simplify]: Simplified to (- (+ (* (log (* 2 PI)) (/ (- 1 k) 4)) (+ (/ (log n) (/ 2 (- 1 k))) (* (log (* 2 PI)) (/ (- 1 k) 4)))) (log (sqrt k))) 201.986 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (log (* 2 PI)) (/ (- 1 k) 4)) (+ (/ (log n) (/ 2 (- 1 k))) (* (log (* 2 PI)) (/ (- 1 k) 4)))) (log (sqrt k))))) 201.986 * * * * [progress]: [ 195 / 417 ] simplifiying candidate # 201.987 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 201.987 * * [simplify]: iters left: 6 (24 enodes) 202.001 * * [simplify]: iters left: 5 (98 enodes) 202.031 * * [simplify]: iters left: 4 (178 enodes) 202.080 * * [simplify]: iters left: 3 (477 enodes) 202.372 * * [simplify]: Extracting #0: cost 1 inf + 0 202.372 * * [simplify]: Extracting #1: cost 72 inf + 0 202.374 * * [simplify]: Extracting #2: cost 367 inf + 1 202.377 * * [simplify]: Extracting #3: cost 448 inf + 186 202.385 * * [simplify]: Extracting #4: cost 351 inf + 22306 202.418 * * [simplify]: Extracting #5: cost 64 inf + 123623 202.452 * * [simplify]: Extracting #6: cost 0 inf + 155797 202.495 * * [simplify]: Extracting #7: cost 0 inf + 155751 202.539 * [simplify]: Simplified to (- (+ (* (log (* 2 PI)) (/ (- 1 k) 4)) (+ (/ (log n) (/ 2 (- 1 k))) (* (log (* 2 PI)) (/ (- 1 k) 4)))) (log (sqrt k))) 202.539 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (log (* 2 PI)) (/ (- 1 k) 4)) (+ (/ (log n) (/ 2 (- 1 k))) (* (log (* 2 PI)) (/ (- 1 k) 4)))) (log (sqrt k))))) 202.539 * * * * [progress]: [ 196 / 417 ] simplifiying candidate # 202.539 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 202.539 * * [simplify]: iters left: 6 (24 enodes) 202.547 * * [simplify]: iters left: 5 (99 enodes) 202.565 * * [simplify]: iters left: 4 (181 enodes) 202.619 * * [simplify]: Extracting #0: cost 1 inf + 0 202.620 * * [simplify]: Extracting #1: cost 28 inf + 0 202.620 * * [simplify]: Extracting #2: cost 112 inf + 1 202.621 * * [simplify]: Extracting #3: cost 154 inf + 74 202.622 * * [simplify]: Extracting #4: cost 149 inf + 637 202.626 * * [simplify]: Extracting #5: cost 88 inf + 15523 202.640 * * [simplify]: Extracting #6: cost 15 inf + 41936 202.658 * * [simplify]: Extracting #7: cost 0 inf + 47683 202.676 * * [simplify]: Extracting #8: cost 0 inf + 46713 202.694 * * [simplify]: Extracting #9: cost 0 inf + 46590 202.708 * [simplify]: Simplified to (- (+ (+ (+ (* (log (* 2 PI)) (/ (- 1 k) 4)) (* (log (* 2 PI)) (/ (- 1 k) 4))) (* (/ (- 1 k) 4) (log n))) (* (/ (- 1 k) 4) (log n))) (log (sqrt k))) 202.708 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (+ (+ (* (log (* 2 PI)) (/ (- 1 k) 4)) (* (log (* 2 PI)) (/ (- 1 k) 4))) (* (/ (- 1 k) 4) (log n))) (* (/ (- 1 k) 4) (log n))) (log (sqrt k))))) 202.708 * * * * [progress]: [ 197 / 417 ] simplifiying candidate # 202.708 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 202.708 * * [simplify]: iters left: 6 (24 enodes) 202.716 * * [simplify]: iters left: 5 (98 enodes) 202.732 * * [simplify]: iters left: 4 (178 enodes) 202.792 * * [simplify]: iters left: 3 (477 enodes) 203.074 * * [simplify]: Extracting #0: cost 1 inf + 0 203.075 * * [simplify]: Extracting #1: cost 72 inf + 0 203.077 * * [simplify]: Extracting #2: cost 367 inf + 1 203.080 * * [simplify]: Extracting #3: cost 448 inf + 186 203.088 * * [simplify]: Extracting #4: cost 351 inf + 22306 203.124 * * [simplify]: Extracting #5: cost 64 inf + 123623 203.168 * * [simplify]: Extracting #6: cost 0 inf + 155797 203.230 * * [simplify]: Extracting #7: cost 0 inf + 155751 203.293 * [simplify]: Simplified to (- (+ (* (log (* 2 PI)) (/ (- 1 k) 4)) (+ (/ (log n) (/ 2 (- 1 k))) (* (log (* 2 PI)) (/ (- 1 k) 4)))) (log (sqrt k))) 203.293 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (log (* 2 PI)) (/ (- 1 k) 4)) (+ (/ (log n) (/ 2 (- 1 k))) (* (log (* 2 PI)) (/ (- 1 k) 4)))) (log (sqrt k))))) 203.293 * * * * [progress]: [ 198 / 417 ] simplifiying candidate # 203.294 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 203.294 * * [simplify]: iters left: 6 (24 enodes) 203.308 * * [simplify]: iters left: 5 (98 enodes) 203.340 * * [simplify]: iters left: 4 (178 enodes) 203.424 * * [simplify]: iters left: 3 (477 enodes) 203.626 * * [simplify]: Extracting #0: cost 1 inf + 0 203.626 * * [simplify]: Extracting #1: cost 72 inf + 0 203.628 * * [simplify]: Extracting #2: cost 367 inf + 1 203.631 * * [simplify]: Extracting #3: cost 448 inf + 186 203.639 * * [simplify]: Extracting #4: cost 351 inf + 22306 203.664 * * [simplify]: Extracting #5: cost 64 inf + 123623 203.696 * * [simplify]: Extracting #6: cost 0 inf + 155797 203.732 * * [simplify]: Extracting #7: cost 0 inf + 155751 203.776 * [simplify]: Simplified to (- (+ (* (log (* 2 PI)) (/ (- 1 k) 4)) (+ (/ (log n) (/ 2 (- 1 k))) (* (log (* 2 PI)) (/ (- 1 k) 4)))) (log (sqrt k))) 203.776 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (log (* 2 PI)) (/ (- 1 k) 4)) (+ (/ (log n) (/ 2 (- 1 k))) (* (log (* 2 PI)) (/ (- 1 k) 4)))) (log (sqrt k))))) 203.777 * * * * [progress]: [ 199 / 417 ] simplifiying candidate # 203.777 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 203.777 * * [simplify]: iters left: 6 (24 enodes) 203.784 * * [simplify]: iters left: 5 (99 enodes) 203.804 * * [simplify]: iters left: 4 (181 enodes) 203.881 * * [simplify]: Extracting #0: cost 1 inf + 0 203.882 * * [simplify]: Extracting #1: cost 28 inf + 0 203.882 * * [simplify]: Extracting #2: cost 112 inf + 1 203.883 * * [simplify]: Extracting #3: cost 154 inf + 74 203.884 * * [simplify]: Extracting #4: cost 149 inf + 637 203.888 * * [simplify]: Extracting #5: cost 88 inf + 15523 203.903 * * [simplify]: Extracting #6: cost 15 inf + 41936 203.920 * * [simplify]: Extracting #7: cost 0 inf + 47683 203.938 * * [simplify]: Extracting #8: cost 0 inf + 46713 203.950 * * [simplify]: Extracting #9: cost 0 inf + 46590 203.962 * [simplify]: Simplified to (- (+ (+ (+ (* (log (* 2 PI)) (/ (- 1 k) 4)) (* (log (* 2 PI)) (/ (- 1 k) 4))) (* (/ (- 1 k) 4) (log n))) (* (/ (- 1 k) 4) (log n))) (log (sqrt k))) 203.962 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (+ (+ (* (log (* 2 PI)) (/ (- 1 k) 4)) (* (log (* 2 PI)) (/ (- 1 k) 4))) (* (/ (- 1 k) 4) (log n))) (* (/ (- 1 k) 4) (log n))) (log (sqrt k))))) 203.962 * * * * [progress]: [ 200 / 417 ] simplifiying candidate # 203.962 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2)))) 203.962 * * [simplify]: iters left: 6 (24 enodes) 203.970 * * [simplify]: iters left: 5 (107 enodes) 203.988 * * [simplify]: iters left: 4 (204 enodes) 204.057 * * [simplify]: Extracting #0: cost 1 inf + 0 204.058 * * [simplify]: Extracting #1: cost 23 inf + 0 204.058 * * [simplify]: Extracting #2: cost 113 inf + 1 204.058 * * [simplify]: Extracting #3: cost 167 inf + 74 204.059 * * [simplify]: Extracting #4: cost 161 inf + 843 204.061 * * [simplify]: Extracting #5: cost 92 inf + 16001 204.067 * * [simplify]: Extracting #6: cost 41 inf + 31832 204.076 * * [simplify]: Extracting #7: cost 0 inf + 50707 204.085 * * [simplify]: Extracting #8: cost 0 inf + 50526 204.101 * [simplify]: Simplified to (+ (* (/ (log n) 2) (- 1 k)) (+ (/ (* (log (* 2 PI)) (- 1 k)) 4) (- (/ (* (log (* 2 PI)) (- 1 k)) 4) (log (sqrt k))))) 204.101 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (log n) 2) (- 1 k)) (+ (/ (* (log (* 2 PI)) (- 1 k)) 4) (- (/ (* (log (* 2 PI)) (- 1 k)) 4) (log (sqrt k))))))) 204.101 * * * * [progress]: [ 201 / 417 ] simplifiying candidate # 204.102 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2)))) 204.102 * * [simplify]: iters left: 6 (24 enodes) 204.116 * * [simplify]: iters left: 5 (107 enodes) 204.145 * * [simplify]: iters left: 4 (204 enodes) 204.228 * * [simplify]: Extracting #0: cost 1 inf + 0 204.228 * * [simplify]: Extracting #1: cost 23 inf + 0 204.228 * * [simplify]: Extracting #2: cost 113 inf + 1 204.229 * * [simplify]: Extracting #3: cost 167 inf + 74 204.230 * * [simplify]: Extracting #4: cost 161 inf + 843 204.235 * * [simplify]: Extracting #5: cost 92 inf + 16001 204.249 * * [simplify]: Extracting #6: cost 41 inf + 31832 204.261 * * [simplify]: Extracting #7: cost 0 inf + 50707 204.271 * * [simplify]: Extracting #8: cost 0 inf + 50526 204.280 * [simplify]: Simplified to (+ (* (/ (log n) 2) (- 1 k)) (+ (/ (* (log (* 2 PI)) (- 1 k)) 4) (- (/ (* (log (* 2 PI)) (- 1 k)) 4) (log (sqrt k))))) 204.280 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (log n) 2) (- 1 k)) (+ (/ (* (log (* 2 PI)) (- 1 k)) 4) (- (/ (* (log (* 2 PI)) (- 1 k)) 4) (log (sqrt k))))))) 204.280 * * * * [progress]: [ 202 / 417 ] simplifiying candidate # 204.280 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2))))) 204.280 * * [simplify]: iters left: 6 (24 enodes) 204.288 * * [simplify]: iters left: 5 (108 enodes) 204.311 * * [simplify]: iters left: 4 (206 enodes) 204.374 * * [simplify]: Extracting #0: cost 1 inf + 0 204.374 * * [simplify]: Extracting #1: cost 25 inf + 0 204.374 * * [simplify]: Extracting #2: cost 124 inf + 1 204.375 * * [simplify]: Extracting #3: cost 183 inf + 74 204.376 * * [simplify]: Extracting #4: cost 152 inf + 6095 204.381 * * [simplify]: Extracting #5: cost 51 inf + 35718 204.394 * * [simplify]: Extracting #6: cost 1 inf + 55931 204.413 * * [simplify]: Extracting #7: cost 0 inf + 56188 204.430 * [simplify]: Simplified to (- (+ (+ (* (log (* 2 PI)) (+ (/ (- 1 k) 4) (/ (- 1 k) 4))) (* (/ (- 1 k) 4) (log n))) (* (/ (- 1 k) 4) (log n))) (log (sqrt k))) 204.430 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (+ (* (log (* 2 PI)) (+ (/ (- 1 k) 4) (/ (- 1 k) 4))) (* (/ (- 1 k) 4) (log n))) (* (/ (- 1 k) 4) (log n))) (log (sqrt k))))) 204.430 * * * * [progress]: [ 203 / 417 ] simplifiying candidate # 204.430 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (log (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 204.430 * * [simplify]: iters left: 6 (23 enodes) 204.437 * * [simplify]: iters left: 5 (102 enodes) 204.454 * * [simplify]: iters left: 4 (201 enodes) 204.532 * * [simplify]: Extracting #0: cost 1 inf + 0 204.532 * * [simplify]: Extracting #1: cost 33 inf + 0 204.533 * * [simplify]: Extracting #2: cost 118 inf + 1 204.534 * * [simplify]: Extracting #3: cost 174 inf + 74 204.535 * * [simplify]: Extracting #4: cost 194 inf + 151 204.537 * * [simplify]: Extracting #5: cost 159 inf + 7963 204.549 * * [simplify]: Extracting #6: cost 54 inf + 43344 204.568 * * [simplify]: Extracting #7: cost 2 inf + 65355 204.582 * * [simplify]: Extracting #8: cost 0 inf + 65615 204.592 * [simplify]: Simplified to (+ (+ (* (log (* 2 PI)) (/ (- 1 k) 4)) (/ (* (- 1 k) (log n)) 2)) (- (* (log (* 2 PI)) (/ (- 1 k) 4)) (log (sqrt k)))) 204.593 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (* (log (* 2 PI)) (/ (- 1 k) 4)) (/ (* (- 1 k) (log n)) 2)) (- (* (log (* 2 PI)) (/ (- 1 k) 4)) (log (sqrt k)))))) 204.593 * * * * [progress]: [ 204 / 417 ] simplifiying candidate # 204.593 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 204.593 * * [simplify]: iters left: 6 (24 enodes) 204.601 * * [simplify]: iters left: 5 (98 enodes) 204.630 * * [simplify]: iters left: 4 (177 enodes) 204.699 * * [simplify]: iters left: 3 (469 enodes) 204.952 * * [simplify]: Extracting #0: cost 1 inf + 0 204.952 * * [simplify]: Extracting #1: cost 68 inf + 0 204.954 * * [simplify]: Extracting #2: cost 373 inf + 1 204.958 * * [simplify]: Extracting #3: cost 449 inf + 186 204.966 * * [simplify]: Extracting #4: cost 355 inf + 18782 204.999 * * [simplify]: Extracting #5: cost 91 inf + 109521 205.064 * * [simplify]: Extracting #6: cost 2 inf + 156181 205.126 * * [simplify]: Extracting #7: cost 0 inf + 157519 205.190 * [simplify]: Simplified to (+ (+ (* (log (* PI 2)) (/ (- 1 k) 4)) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k)))) (* (/ (- 1 k) 2) (log n))) 205.190 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (* (log (* PI 2)) (/ (- 1 k) 4)) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k)))) (* (/ (- 1 k) 2) (log n))))) 205.190 * * * * [progress]: [ 205 / 417 ] simplifiying candidate # 205.190 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 205.191 * * [simplify]: iters left: 6 (24 enodes) 205.206 * * [simplify]: iters left: 5 (98 enodes) 205.233 * * [simplify]: iters left: 4 (177 enodes) 205.279 * * [simplify]: iters left: 3 (469 enodes) 205.536 * * [simplify]: Extracting #0: cost 1 inf + 0 205.536 * * [simplify]: Extracting #1: cost 68 inf + 0 205.538 * * [simplify]: Extracting #2: cost 373 inf + 1 205.539 * * [simplify]: Extracting #3: cost 449 inf + 186 205.543 * * [simplify]: Extracting #4: cost 355 inf + 18782 205.566 * * [simplify]: Extracting #5: cost 91 inf + 109521 205.610 * * [simplify]: Extracting #6: cost 2 inf + 156181 205.666 * * [simplify]: Extracting #7: cost 0 inf + 157519 205.714 * [simplify]: Simplified to (+ (+ (* (log (* PI 2)) (/ (- 1 k) 4)) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k)))) (* (/ (- 1 k) 2) (log n))) 205.714 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (* (log (* PI 2)) (/ (- 1 k) 4)) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k)))) (* (/ (- 1 k) 2) (log n))))) 205.714 * * * * [progress]: [ 206 / 417 ] simplifiying candidate # 205.714 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 205.714 * * [simplify]: iters left: 6 (24 enodes) 205.726 * * [simplify]: iters left: 5 (99 enodes) 205.758 * * [simplify]: iters left: 4 (180 enodes) 205.821 * * [simplify]: Extracting #0: cost 1 inf + 0 205.822 * * [simplify]: Extracting #1: cost 26 inf + 0 205.822 * * [simplify]: Extracting #2: cost 110 inf + 1 205.823 * * [simplify]: Extracting #3: cost 153 inf + 3 205.824 * * [simplify]: Extracting #4: cost 145 inf + 801 205.829 * * [simplify]: Extracting #5: cost 75 inf + 16706 205.844 * * [simplify]: Extracting #6: cost 2 inf + 44106 205.861 * * [simplify]: Extracting #7: cost 0 inf + 44853 205.877 * [simplify]: Simplified to (+ (+ (* (log (* PI 2)) (/ (- 1 k) 4)) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k)))) (* (/ (- 1 k) 2) (log n))) 205.877 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (* (log (* PI 2)) (/ (- 1 k) 4)) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k)))) (* (/ (- 1 k) 2) (log n))))) 205.877 * * * * [progress]: [ 207 / 417 ] simplifiying candidate # 205.877 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 205.878 * * [simplify]: iters left: 6 (20 enodes) 205.889 * * [simplify]: iters left: 5 (92 enodes) 205.919 * * [simplify]: iters left: 4 (172 enodes) 205.966 * * [simplify]: iters left: 3 (408 enodes) 206.115 * * [simplify]: Extracting #0: cost 1 inf + 0 206.116 * * [simplify]: Extracting #1: cost 58 inf + 0 206.117 * * [simplify]: Extracting #2: cost 280 inf + 1 206.119 * * [simplify]: Extracting #3: cost 355 inf + 75 206.124 * * [simplify]: Extracting #4: cost 311 inf + 7081 206.138 * * [simplify]: Extracting #5: cost 163 inf + 44446 206.178 * * [simplify]: Extracting #6: cost 12 inf + 111695 206.228 * * [simplify]: Extracting #7: cost 0 inf + 117661 206.252 * * [simplify]: Extracting #8: cost 0 inf + 117620 206.286 * [simplify]: Simplified to (+ (+ (/ (- 1 k) (/ 2 (log n))) (/ (* (log (* PI 2)) (- 1 k)) 4)) (- (/ (* (log (* PI 2)) (- 1 k)) 4) (log (sqrt k)))) 206.286 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (/ (- 1 k) (/ 2 (log n))) (/ (* (log (* PI 2)) (- 1 k)) 4)) (- (/ (* (log (* PI 2)) (- 1 k)) 4) (log (sqrt k)))))) 206.286 * * * * [progress]: [ 208 / 417 ] simplifiying candidate # 206.287 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 206.287 * * [simplify]: iters left: 6 (20 enodes) 206.298 * * [simplify]: iters left: 5 (92 enodes) 206.332 * * [simplify]: iters left: 4 (172 enodes) 206.392 * * [simplify]: iters left: 3 (408 enodes) 206.518 * * [simplify]: Extracting #0: cost 1 inf + 0 206.519 * * [simplify]: Extracting #1: cost 58 inf + 0 206.519 * * [simplify]: Extracting #2: cost 280 inf + 1 206.521 * * [simplify]: Extracting #3: cost 355 inf + 75 206.523 * * [simplify]: Extracting #4: cost 311 inf + 7081 206.530 * * [simplify]: Extracting #5: cost 163 inf + 44446 206.552 * * [simplify]: Extracting #6: cost 12 inf + 111695 206.577 * * [simplify]: Extracting #7: cost 0 inf + 117661 206.601 * * [simplify]: Extracting #8: cost 0 inf + 117620 206.645 * [simplify]: Simplified to (+ (+ (/ (- 1 k) (/ 2 (log n))) (/ (* (log (* PI 2)) (- 1 k)) 4)) (- (/ (* (log (* PI 2)) (- 1 k)) 4) (log (sqrt k)))) 206.645 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (/ (- 1 k) (/ 2 (log n))) (/ (* (log (* PI 2)) (- 1 k)) 4)) (- (/ (* (log (* PI 2)) (- 1 k)) 4) (log (sqrt k)))))) 206.645 * * * * [progress]: [ 209 / 417 ] simplifiying candidate # 206.646 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 206.646 * * [simplify]: iters left: 6 (20 enodes) 206.660 * * [simplify]: iters left: 5 (93 enodes) 206.687 * * [simplify]: iters left: 4 (175 enodes) 206.740 * * [simplify]: iters left: 3 (454 enodes) 206.982 * * [simplify]: Extracting #0: cost 1 inf + 0 206.983 * * [simplify]: Extracting #1: cost 67 inf + 0 206.985 * * [simplify]: Extracting #2: cost 340 inf + 1 206.988 * * [simplify]: Extracting #3: cost 441 inf + 74 206.997 * * [simplify]: Extracting #4: cost 326 inf + 27459 207.032 * * [simplify]: Extracting #5: cost 65 inf + 122154 207.067 * * [simplify]: Extracting #6: cost 3 inf + 150353 207.097 * * [simplify]: Extracting #7: cost 0 inf + 151809 207.133 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2)))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2))))) 207.133 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2)))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2))))))) 207.133 * * * * [progress]: [ 210 / 417 ] simplifiying candidate # 207.133 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 207.133 * * [simplify]: iters left: 6 (20 enodes) 207.146 * * [simplify]: iters left: 5 (92 enodes) 207.165 * * [simplify]: iters left: 4 (172 enodes) 207.207 * * [simplify]: iters left: 3 (408 enodes) 207.367 * * [simplify]: Extracting #0: cost 1 inf + 0 207.368 * * [simplify]: Extracting #1: cost 58 inf + 0 207.368 * * [simplify]: Extracting #2: cost 280 inf + 1 207.370 * * [simplify]: Extracting #3: cost 355 inf + 75 207.372 * * [simplify]: Extracting #4: cost 311 inf + 7081 207.379 * * [simplify]: Extracting #5: cost 163 inf + 44446 207.414 * * [simplify]: Extracting #6: cost 12 inf + 111695 207.438 * * [simplify]: Extracting #7: cost 0 inf + 117661 207.468 * * [simplify]: Extracting #8: cost 0 inf + 117620 207.505 * [simplify]: Simplified to (+ (+ (/ (- 1 k) (/ 2 (log n))) (/ (* (log (* PI 2)) (- 1 k)) 4)) (- (/ (* (log (* PI 2)) (- 1 k)) 4) (log (sqrt k)))) 207.505 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (/ (- 1 k) (/ 2 (log n))) (/ (* (log (* PI 2)) (- 1 k)) 4)) (- (/ (* (log (* PI 2)) (- 1 k)) 4) (log (sqrt k)))))) 207.505 * * * * [progress]: [ 211 / 417 ] simplifiying candidate # 207.506 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 207.506 * * [simplify]: iters left: 6 (20 enodes) 207.521 * * [simplify]: iters left: 5 (92 enodes) 207.553 * * [simplify]: iters left: 4 (172 enodes) 207.601 * * [simplify]: iters left: 3 (408 enodes) 207.804 * * [simplify]: Extracting #0: cost 1 inf + 0 207.804 * * [simplify]: Extracting #1: cost 58 inf + 0 207.805 * * [simplify]: Extracting #2: cost 280 inf + 1 207.806 * * [simplify]: Extracting #3: cost 355 inf + 75 207.808 * * [simplify]: Extracting #4: cost 311 inf + 7081 207.816 * * [simplify]: Extracting #5: cost 163 inf + 44446 207.849 * * [simplify]: Extracting #6: cost 12 inf + 111695 207.882 * * [simplify]: Extracting #7: cost 0 inf + 117661 207.914 * * [simplify]: Extracting #8: cost 0 inf + 117620 207.939 * [simplify]: Simplified to (+ (+ (/ (- 1 k) (/ 2 (log n))) (/ (* (log (* PI 2)) (- 1 k)) 4)) (- (/ (* (log (* PI 2)) (- 1 k)) 4) (log (sqrt k)))) 207.939 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (/ (- 1 k) (/ 2 (log n))) (/ (* (log (* PI 2)) (- 1 k)) 4)) (- (/ (* (log (* PI 2)) (- 1 k)) 4) (log (sqrt k)))))) 207.939 * * * * [progress]: [ 212 / 417 ] simplifiying candidate # 207.940 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 207.940 * * [simplify]: iters left: 6 (20 enodes) 207.952 * * [simplify]: iters left: 5 (93 enodes) 207.978 * * [simplify]: iters left: 4 (175 enodes) 208.022 * * [simplify]: iters left: 3 (454 enodes) 208.270 * * [simplify]: Extracting #0: cost 1 inf + 0 208.271 * * [simplify]: Extracting #1: cost 67 inf + 0 208.272 * * [simplify]: Extracting #2: cost 340 inf + 1 208.273 * * [simplify]: Extracting #3: cost 441 inf + 74 208.278 * * [simplify]: Extracting #4: cost 326 inf + 27459 208.306 * * [simplify]: Extracting #5: cost 65 inf + 122154 208.368 * * [simplify]: Extracting #6: cost 3 inf + 150353 208.418 * * [simplify]: Extracting #7: cost 0 inf + 151809 208.465 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2)))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2))))) 208.465 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2)))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2))))))) 208.465 * * * * [progress]: [ 213 / 417 ] simplifiying candidate # 208.466 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2)))) 208.466 * * [simplify]: iters left: 6 (22 enodes) 208.479 * * [simplify]: iters left: 5 (101 enodes) 208.499 * * [simplify]: iters left: 4 (202 enodes) 208.578 * * [simplify]: Extracting #0: cost 1 inf + 0 208.579 * * [simplify]: Extracting #1: cost 21 inf + 0 208.579 * * [simplify]: Extracting #2: cost 94 inf + 1 208.580 * * [simplify]: Extracting #3: cost 155 inf + 74 208.581 * * [simplify]: Extracting #4: cost 149 inf + 1017 208.585 * * [simplify]: Extracting #5: cost 69 inf + 20046 208.592 * * [simplify]: Extracting #6: cost 3 inf + 43547 208.600 * * [simplify]: Extracting #7: cost 0 inf + 44933 208.608 * [simplify]: Simplified to (+ (+ (* (log (* PI 2)) (/ (- 1 k) 4)) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k)))) (* (/ (log n) 2) (- 1 k))) 208.608 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (* (log (* PI 2)) (/ (- 1 k) 4)) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k)))) (* (/ (log n) 2) (- 1 k))))) 208.608 * * * * [progress]: [ 214 / 417 ] simplifiying candidate # 208.609 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2)))) 208.609 * * [simplify]: iters left: 6 (22 enodes) 208.617 * * [simplify]: iters left: 5 (101 enodes) 208.652 * * [simplify]: iters left: 4 (202 enodes) 208.723 * * [simplify]: Extracting #0: cost 1 inf + 0 208.723 * * [simplify]: Extracting #1: cost 21 inf + 0 208.724 * * [simplify]: Extracting #2: cost 94 inf + 1 208.724 * * [simplify]: Extracting #3: cost 155 inf + 74 208.726 * * [simplify]: Extracting #4: cost 149 inf + 1017 208.732 * * [simplify]: Extracting #5: cost 69 inf + 20046 208.739 * * [simplify]: Extracting #6: cost 3 inf + 43547 208.747 * * [simplify]: Extracting #7: cost 0 inf + 44933 208.756 * [simplify]: Simplified to (+ (+ (* (log (* PI 2)) (/ (- 1 k) 4)) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k)))) (* (/ (log n) 2) (- 1 k))) 208.756 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (* (log (* PI 2)) (/ (- 1 k) 4)) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k)))) (* (/ (log n) 2) (- 1 k))))) 208.756 * * * * [progress]: [ 215 / 417 ] simplifiying candidate # 208.756 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2))))) 208.756 * * [simplify]: iters left: 6 (22 enodes) 208.763 * * [simplify]: iters left: 5 (102 enodes) 208.785 * * [simplify]: iters left: 4 (203 enodes) 208.844 * * [simplify]: Extracting #0: cost 1 inf + 0 208.844 * * [simplify]: Extracting #1: cost 25 inf + 0 208.844 * * [simplify]: Extracting #2: cost 108 inf + 1 208.845 * * [simplify]: Extracting #3: cost 173 inf + 74 208.846 * * [simplify]: Extracting #4: cost 168 inf + 759 208.849 * * [simplify]: Extracting #5: cost 132 inf + 6544 208.860 * * [simplify]: Extracting #6: cost 50 inf + 28366 208.869 * * [simplify]: Extracting #7: cost 3 inf + 50403 208.878 * * [simplify]: Extracting #8: cost 0 inf + 52171 208.887 * [simplify]: Simplified to (+ (+ (* (log (* PI 2)) (/ (- 1 k) 4)) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k)))) (* (/ (- 1 k) 2) (log n))) 208.887 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (* (log (* PI 2)) (/ (- 1 k) 4)) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k)))) (* (/ (- 1 k) 2) (log n))))) 208.887 * * * * [progress]: [ 216 / 417 ] simplifiying candidate # 208.887 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 208.887 * * [simplify]: iters left: 6 (21 enodes) 208.894 * * [simplify]: iters left: 5 (98 enodes) 208.925 * * [simplify]: iters left: 4 (201 enodes) 209.020 * * [simplify]: Extracting #0: cost 1 inf + 0 209.020 * * [simplify]: Extracting #1: cost 25 inf + 0 209.020 * * [simplify]: Extracting #2: cost 106 inf + 1 209.021 * * [simplify]: Extracting #3: cost 170 inf + 74 209.021 * * [simplify]: Extracting #4: cost 188 inf + 404 209.023 * * [simplify]: Extracting #5: cost 153 inf + 5821 209.028 * * [simplify]: Extracting #6: cost 48 inf + 38333 209.039 * * [simplify]: Extracting #7: cost 0 inf + 62825 209.058 * * [simplify]: Extracting #8: cost 0 inf + 62784 209.079 * [simplify]: Simplified to (+ (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k))) (+ (* (/ (- 1 k) 2) (log n)) (* (log (* PI 2)) (/ (- 1 k) 4)))) 209.079 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k))) (+ (* (/ (- 1 k) 2) (log n)) (* (log (* PI 2)) (/ (- 1 k) 4)))))) 209.079 * * * * [progress]: [ 217 / 417 ] simplifiying candidate # 209.080 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 209.080 * * [simplify]: iters left: 6 (24 enodes) 209.097 * * [simplify]: iters left: 5 (98 enodes) 209.130 * * [simplify]: iters left: 4 (177 enodes) 209.178 * * [simplify]: iters left: 3 (469 enodes) 209.399 * * [simplify]: Extracting #0: cost 1 inf + 0 209.399 * * [simplify]: Extracting #1: cost 68 inf + 0 209.401 * * [simplify]: Extracting #2: cost 373 inf + 1 209.405 * * [simplify]: Extracting #3: cost 449 inf + 186 209.412 * * [simplify]: Extracting #4: cost 355 inf + 18782 209.452 * * [simplify]: Extracting #5: cost 91 inf + 109521 209.485 * * [simplify]: Extracting #6: cost 2 inf + 156181 209.535 * * [simplify]: Extracting #7: cost 0 inf + 157519 209.568 * [simplify]: Simplified to (+ (+ (* (log (* PI 2)) (/ (- 1 k) 4)) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k)))) (* (/ (- 1 k) 2) (log n))) 209.568 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (* (log (* PI 2)) (/ (- 1 k) 4)) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k)))) (* (/ (- 1 k) 2) (log n))))) 209.568 * * * * [progress]: [ 218 / 417 ] simplifiying candidate # 209.569 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 209.569 * * [simplify]: iters left: 6 (24 enodes) 209.576 * * [simplify]: iters left: 5 (98 enodes) 209.599 * * [simplify]: iters left: 4 (177 enodes) 209.664 * * [simplify]: iters left: 3 (469 enodes) 209.861 * * [simplify]: Extracting #0: cost 1 inf + 0 209.861 * * [simplify]: Extracting #1: cost 68 inf + 0 209.864 * * [simplify]: Extracting #2: cost 373 inf + 1 209.867 * * [simplify]: Extracting #3: cost 449 inf + 186 209.875 * * [simplify]: Extracting #4: cost 355 inf + 18782 209.893 * * [simplify]: Extracting #5: cost 91 inf + 109521 209.931 * * [simplify]: Extracting #6: cost 2 inf + 156181 209.969 * * [simplify]: Extracting #7: cost 0 inf + 157519 210.006 * [simplify]: Simplified to (+ (+ (* (log (* PI 2)) (/ (- 1 k) 4)) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k)))) (* (/ (- 1 k) 2) (log n))) 210.006 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (* (log (* PI 2)) (/ (- 1 k) 4)) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k)))) (* (/ (- 1 k) 2) (log n))))) 210.006 * * * * [progress]: [ 219 / 417 ] simplifiying candidate # 210.007 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 210.007 * * [simplify]: iters left: 6 (24 enodes) 210.019 * * [simplify]: iters left: 5 (99 enodes) 210.037 * * [simplify]: iters left: 4 (180 enodes) 210.119 * * [simplify]: Extracting #0: cost 1 inf + 0 210.119 * * [simplify]: Extracting #1: cost 26 inf + 0 210.119 * * [simplify]: Extracting #2: cost 110 inf + 1 210.120 * * [simplify]: Extracting #3: cost 153 inf + 3 210.121 * * [simplify]: Extracting #4: cost 145 inf + 801 210.125 * * [simplify]: Extracting #5: cost 75 inf + 16706 210.133 * * [simplify]: Extracting #6: cost 2 inf + 44106 210.142 * * [simplify]: Extracting #7: cost 0 inf + 44853 210.150 * [simplify]: Simplified to (+ (+ (* (log (* PI 2)) (/ (- 1 k) 4)) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k)))) (* (/ (- 1 k) 2) (log n))) 210.150 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (* (log (* PI 2)) (/ (- 1 k) 4)) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k)))) (* (/ (- 1 k) 2) (log n))))) 210.150 * * * * [progress]: [ 220 / 417 ] simplifiying candidate # 210.150 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 210.150 * * [simplify]: iters left: 6 (20 enodes) 210.157 * * [simplify]: iters left: 5 (92 enodes) 210.174 * * [simplify]: iters left: 4 (172 enodes) 210.217 * * [simplify]: iters left: 3 (408 enodes) 210.398 * * [simplify]: Extracting #0: cost 1 inf + 0 210.399 * * [simplify]: Extracting #1: cost 58 inf + 0 210.400 * * [simplify]: Extracting #2: cost 280 inf + 1 210.403 * * [simplify]: Extracting #3: cost 355 inf + 75 210.408 * * [simplify]: Extracting #4: cost 311 inf + 7081 210.419 * * [simplify]: Extracting #5: cost 163 inf + 44446 210.443 * * [simplify]: Extracting #6: cost 12 inf + 111695 210.483 * * [simplify]: Extracting #7: cost 0 inf + 117661 210.514 * * [simplify]: Extracting #8: cost 0 inf + 117620 210.543 * [simplify]: Simplified to (+ (+ (/ (- 1 k) (/ 2 (log n))) (/ (* (log (* PI 2)) (- 1 k)) 4)) (- (/ (* (log (* PI 2)) (- 1 k)) 4) (log (sqrt k)))) 210.543 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (/ (- 1 k) (/ 2 (log n))) (/ (* (log (* PI 2)) (- 1 k)) 4)) (- (/ (* (log (* PI 2)) (- 1 k)) 4) (log (sqrt k)))))) 210.544 * * * * [progress]: [ 221 / 417 ] simplifiying candidate # 210.544 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 210.544 * * [simplify]: iters left: 6 (20 enodes) 210.553 * * [simplify]: iters left: 5 (92 enodes) 210.568 * * [simplify]: iters left: 4 (172 enodes) 210.615 * * [simplify]: iters left: 3 (408 enodes) 210.782 * * [simplify]: Extracting #0: cost 1 inf + 0 210.783 * * [simplify]: Extracting #1: cost 58 inf + 0 210.784 * * [simplify]: Extracting #2: cost 280 inf + 1 210.787 * * [simplify]: Extracting #3: cost 355 inf + 75 210.789 * * [simplify]: Extracting #4: cost 311 inf + 7081 210.800 * * [simplify]: Extracting #5: cost 163 inf + 44446 210.820 * * [simplify]: Extracting #6: cost 12 inf + 111695 210.844 * * [simplify]: Extracting #7: cost 0 inf + 117661 210.868 * * [simplify]: Extracting #8: cost 0 inf + 117620 210.907 * [simplify]: Simplified to (+ (+ (/ (- 1 k) (/ 2 (log n))) (/ (* (log (* PI 2)) (- 1 k)) 4)) (- (/ (* (log (* PI 2)) (- 1 k)) 4) (log (sqrt k)))) 210.907 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (/ (- 1 k) (/ 2 (log n))) (/ (* (log (* PI 2)) (- 1 k)) 4)) (- (/ (* (log (* PI 2)) (- 1 k)) 4) (log (sqrt k)))))) 210.907 * * * * [progress]: [ 222 / 417 ] simplifiying candidate # 210.907 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 210.907 * * [simplify]: iters left: 6 (20 enodes) 210.914 * * [simplify]: iters left: 5 (93 enodes) 210.929 * * [simplify]: iters left: 4 (175 enodes) 211.002 * * [simplify]: iters left: 3 (454 enodes) 211.254 * * [simplify]: Extracting #0: cost 1 inf + 0 211.254 * * [simplify]: Extracting #1: cost 67 inf + 0 211.256 * * [simplify]: Extracting #2: cost 340 inf + 1 211.259 * * [simplify]: Extracting #3: cost 441 inf + 74 211.267 * * [simplify]: Extracting #4: cost 326 inf + 27459 211.301 * * [simplify]: Extracting #5: cost 65 inf + 122154 211.357 * * [simplify]: Extracting #6: cost 3 inf + 150353 211.407 * * [simplify]: Extracting #7: cost 0 inf + 151809 211.452 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2)))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2))))) 211.452 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2)))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2))))))) 211.452 * * * * [progress]: [ 223 / 417 ] simplifiying candidate # 211.453 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 211.453 * * [simplify]: iters left: 6 (20 enodes) 211.463 * * [simplify]: iters left: 5 (92 enodes) 211.480 * * [simplify]: iters left: 4 (172 enodes) 211.535 * * [simplify]: iters left: 3 (408 enodes) 211.731 * * [simplify]: Extracting #0: cost 1 inf + 0 211.731 * * [simplify]: Extracting #1: cost 58 inf + 0 211.733 * * [simplify]: Extracting #2: cost 280 inf + 1 211.735 * * [simplify]: Extracting #3: cost 355 inf + 75 211.739 * * [simplify]: Extracting #4: cost 311 inf + 7081 211.757 * * [simplify]: Extracting #5: cost 163 inf + 44446 211.792 * * [simplify]: Extracting #6: cost 12 inf + 111695 211.815 * * [simplify]: Extracting #7: cost 0 inf + 117661 211.863 * * [simplify]: Extracting #8: cost 0 inf + 117620 211.896 * [simplify]: Simplified to (+ (+ (/ (- 1 k) (/ 2 (log n))) (/ (* (log (* PI 2)) (- 1 k)) 4)) (- (/ (* (log (* PI 2)) (- 1 k)) 4) (log (sqrt k)))) 211.896 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (/ (- 1 k) (/ 2 (log n))) (/ (* (log (* PI 2)) (- 1 k)) 4)) (- (/ (* (log (* PI 2)) (- 1 k)) 4) (log (sqrt k)))))) 211.896 * * * * [progress]: [ 224 / 417 ] simplifiying candidate # 211.896 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 211.897 * * [simplify]: iters left: 6 (20 enodes) 211.903 * * [simplify]: iters left: 5 (92 enodes) 211.921 * * [simplify]: iters left: 4 (172 enodes) 211.998 * * [simplify]: iters left: 3 (408 enodes) 212.199 * * [simplify]: Extracting #0: cost 1 inf + 0 212.199 * * [simplify]: Extracting #1: cost 58 inf + 0 212.200 * * [simplify]: Extracting #2: cost 280 inf + 1 212.201 * * [simplify]: Extracting #3: cost 355 inf + 75 212.203 * * [simplify]: Extracting #4: cost 311 inf + 7081 212.210 * * [simplify]: Extracting #5: cost 163 inf + 44446 212.242 * * [simplify]: Extracting #6: cost 12 inf + 111695 212.291 * * [simplify]: Extracting #7: cost 0 inf + 117661 212.342 * * [simplify]: Extracting #8: cost 0 inf + 117620 212.380 * [simplify]: Simplified to (+ (+ (/ (- 1 k) (/ 2 (log n))) (/ (* (log (* PI 2)) (- 1 k)) 4)) (- (/ (* (log (* PI 2)) (- 1 k)) 4) (log (sqrt k)))) 212.380 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (/ (- 1 k) (/ 2 (log n))) (/ (* (log (* PI 2)) (- 1 k)) 4)) (- (/ (* (log (* PI 2)) (- 1 k)) 4) (log (sqrt k)))))) 212.380 * * * * [progress]: [ 225 / 417 ] simplifiying candidate # 212.380 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 212.380 * * [simplify]: iters left: 6 (20 enodes) 212.387 * * [simplify]: iters left: 5 (93 enodes) 212.403 * * [simplify]: iters left: 4 (175 enodes) 212.477 * * [simplify]: iters left: 3 (454 enodes) 212.682 * * [simplify]: Extracting #0: cost 1 inf + 0 212.682 * * [simplify]: Extracting #1: cost 67 inf + 0 212.684 * * [simplify]: Extracting #2: cost 340 inf + 1 212.685 * * [simplify]: Extracting #3: cost 441 inf + 74 212.690 * * [simplify]: Extracting #4: cost 326 inf + 27459 212.730 * * [simplify]: Extracting #5: cost 65 inf + 122154 212.786 * * [simplify]: Extracting #6: cost 3 inf + 150353 212.843 * * [simplify]: Extracting #7: cost 0 inf + 151809 212.879 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2)))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2))))) 212.879 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2)))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2))))))) 212.880 * * * * [progress]: [ 226 / 417 ] simplifiying candidate # 212.880 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2)))) 212.880 * * [simplify]: iters left: 6 (22 enodes) 212.894 * * [simplify]: iters left: 5 (101 enodes) 212.914 * * [simplify]: iters left: 4 (202 enodes) 212.975 * * [simplify]: Extracting #0: cost 1 inf + 0 212.975 * * [simplify]: Extracting #1: cost 21 inf + 0 212.975 * * [simplify]: Extracting #2: cost 94 inf + 1 212.976 * * [simplify]: Extracting #3: cost 155 inf + 74 212.976 * * [simplify]: Extracting #4: cost 149 inf + 1017 212.982 * * [simplify]: Extracting #5: cost 69 inf + 20046 212.996 * * [simplify]: Extracting #6: cost 3 inf + 43547 213.013 * * [simplify]: Extracting #7: cost 0 inf + 44933 213.028 * [simplify]: Simplified to (+ (+ (* (log (* PI 2)) (/ (- 1 k) 4)) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k)))) (* (/ (log n) 2) (- 1 k))) 213.028 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (* (log (* PI 2)) (/ (- 1 k) 4)) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k)))) (* (/ (log n) 2) (- 1 k))))) 213.029 * * * * [progress]: [ 227 / 417 ] simplifiying candidate # 213.029 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2)))) 213.029 * * [simplify]: iters left: 6 (22 enodes) 213.042 * * [simplify]: iters left: 5 (101 enodes) 213.079 * * [simplify]: iters left: 4 (202 enodes) 213.148 * * [simplify]: Extracting #0: cost 1 inf + 0 213.148 * * [simplify]: Extracting #1: cost 21 inf + 0 213.149 * * [simplify]: Extracting #2: cost 94 inf + 1 213.149 * * [simplify]: Extracting #3: cost 155 inf + 74 213.151 * * [simplify]: Extracting #4: cost 149 inf + 1017 213.156 * * [simplify]: Extracting #5: cost 69 inf + 20046 213.170 * * [simplify]: Extracting #6: cost 3 inf + 43547 213.191 * * [simplify]: Extracting #7: cost 0 inf + 44933 213.206 * [simplify]: Simplified to (+ (+ (* (log (* PI 2)) (/ (- 1 k) 4)) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k)))) (* (/ (log n) 2) (- 1 k))) 213.207 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (* (log (* PI 2)) (/ (- 1 k) 4)) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k)))) (* (/ (log n) 2) (- 1 k))))) 213.207 * * * * [progress]: [ 228 / 417 ] simplifiying candidate # 213.207 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2))))) 213.207 * * [simplify]: iters left: 6 (22 enodes) 213.219 * * [simplify]: iters left: 5 (102 enodes) 213.237 * * [simplify]: iters left: 4 (203 enodes) 213.292 * * [simplify]: Extracting #0: cost 1 inf + 0 213.292 * * [simplify]: Extracting #1: cost 25 inf + 0 213.292 * * [simplify]: Extracting #2: cost 108 inf + 1 213.293 * * [simplify]: Extracting #3: cost 173 inf + 74 213.294 * * [simplify]: Extracting #4: cost 168 inf + 759 213.295 * * [simplify]: Extracting #5: cost 132 inf + 6544 213.299 * * [simplify]: Extracting #6: cost 50 inf + 28366 213.307 * * [simplify]: Extracting #7: cost 3 inf + 50403 213.321 * * [simplify]: Extracting #8: cost 0 inf + 52171 213.339 * [simplify]: Simplified to (+ (+ (* (log (* PI 2)) (/ (- 1 k) 4)) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k)))) (* (/ (- 1 k) 2) (log n))) 213.339 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (* (log (* PI 2)) (/ (- 1 k) 4)) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k)))) (* (/ (- 1 k) 2) (log n))))) 213.339 * * * * [progress]: [ 229 / 417 ] simplifiying candidate # 213.340 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 213.340 * * [simplify]: iters left: 6 (21 enodes) 213.349 * * [simplify]: iters left: 5 (98 enodes) 213.366 * * [simplify]: iters left: 4 (201 enodes) 213.453 * * [simplify]: Extracting #0: cost 1 inf + 0 213.454 * * [simplify]: Extracting #1: cost 25 inf + 0 213.454 * * [simplify]: Extracting #2: cost 106 inf + 1 213.455 * * [simplify]: Extracting #3: cost 170 inf + 74 213.456 * * [simplify]: Extracting #4: cost 188 inf + 404 213.458 * * [simplify]: Extracting #5: cost 153 inf + 5821 213.469 * * [simplify]: Extracting #6: cost 48 inf + 38333 213.488 * * [simplify]: Extracting #7: cost 0 inf + 62825 213.511 * * [simplify]: Extracting #8: cost 0 inf + 62784 213.530 * [simplify]: Simplified to (+ (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k))) (+ (* (/ (- 1 k) 2) (log n)) (* (log (* PI 2)) (/ (- 1 k) 4)))) 213.531 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k))) (+ (* (/ (- 1 k) 2) (log n)) (* (log (* PI 2)) (/ (- 1 k) 4)))))) 213.531 * * * * [progress]: [ 230 / 417 ] simplifiying candidate # 213.531 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 213.532 * * [simplify]: iters left: 6 (24 enodes) 213.545 * * [simplify]: iters left: 5 (107 enodes) 213.577 * * [simplify]: iters left: 4 (206 enodes) 213.657 * * [simplify]: Extracting #0: cost 1 inf + 0 213.658 * * [simplify]: Extracting #1: cost 22 inf + 0 213.658 * * [simplify]: Extracting #2: cost 109 inf + 1 213.659 * * [simplify]: Extracting #3: cost 169 inf + 3 213.660 * * [simplify]: Extracting #4: cost 165 inf + 661 213.663 * * [simplify]: Extracting #5: cost 118 inf + 8257 213.677 * * [simplify]: Extracting #6: cost 18 inf + 43402 213.697 * * [simplify]: Extracting #7: cost 0 inf + 51746 213.716 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (log (* PI 2))) (log (sqrt k))) (+ (* (log n) (- 1/2 (/ k 2))) (* (/ (- 1 k) 4) (log (* PI 2))))) 213.717 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (log (* PI 2))) (log (sqrt k))) (+ (* (log n) (- 1/2 (/ k 2))) (* (/ (- 1 k) 4) (log (* PI 2))))))) 213.717 * * * * [progress]: [ 231 / 417 ] simplifiying candidate # 213.717 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 213.717 * * [simplify]: iters left: 6 (24 enodes) 213.731 * * [simplify]: iters left: 5 (107 enodes) 213.771 * * [simplify]: iters left: 4 (206 enodes) 213.851 * * [simplify]: Extracting #0: cost 1 inf + 0 213.852 * * [simplify]: Extracting #1: cost 22 inf + 0 213.852 * * [simplify]: Extracting #2: cost 109 inf + 1 213.856 * * [simplify]: Extracting #3: cost 169 inf + 3 213.857 * * [simplify]: Extracting #4: cost 165 inf + 661 213.860 * * [simplify]: Extracting #5: cost 118 inf + 8257 213.870 * * [simplify]: Extracting #6: cost 18 inf + 43402 213.879 * * [simplify]: Extracting #7: cost 0 inf + 51746 213.889 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (log (* PI 2))) (log (sqrt k))) (+ (* (log n) (- 1/2 (/ k 2))) (* (/ (- 1 k) 4) (log (* PI 2))))) 213.889 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (log (* PI 2))) (log (sqrt k))) (+ (* (log n) (- 1/2 (/ k 2))) (* (/ (- 1 k) 4) (log (* PI 2))))))) 213.889 * * * * [progress]: [ 232 / 417 ] simplifiying candidate # 213.889 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 213.889 * * [simplify]: iters left: 6 (24 enodes) 213.896 * * [simplify]: iters left: 5 (108 enodes) 213.917 * * [simplify]: iters left: 4 (208 enodes) 214.014 * * [simplify]: Extracting #0: cost 1 inf + 0 214.015 * * [simplify]: Extracting #1: cost 24 inf + 0 214.015 * * [simplify]: Extracting #2: cost 122 inf + 1 214.016 * * [simplify]: Extracting #3: cost 187 inf + 3 214.018 * * [simplify]: Extracting #4: cost 163 inf + 3874 214.027 * * [simplify]: Extracting #5: cost 57 inf + 30344 214.045 * * [simplify]: Extracting #6: cost 5 inf + 54709 214.065 * * [simplify]: Extracting #7: cost 0 inf + 57359 214.089 * [simplify]: Simplified to (+ (* (/ (- 1 k) 4) (log (* PI 2))) (- (+ (+ (* (/ (- 1 k) 4) (log (* PI 2))) (* (/ (- 1 k) 4) (log n))) (* (/ (- 1 k) 4) (log n))) (log (sqrt k)))) 214.089 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 4) (log (* PI 2))) (- (+ (+ (* (/ (- 1 k) 4) (log (* PI 2))) (* (/ (- 1 k) 4) (log n))) (* (/ (- 1 k) 4) (log n))) (log (sqrt k)))))) 214.089 * * * * [progress]: [ 233 / 417 ] simplifiying candidate # 214.090 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 214.090 * * [simplify]: iters left: 6 (22 enodes) 214.103 * * [simplify]: iters left: 5 (101 enodes) 214.128 * * [simplify]: iters left: 4 (203 enodes) 214.185 * * [simplify]: Extracting #0: cost 1 inf + 0 214.185 * * [simplify]: Extracting #1: cost 26 inf + 0 214.186 * * [simplify]: Extracting #2: cost 109 inf + 1 214.186 * * [simplify]: Extracting #3: cost 159 inf + 74 214.187 * * [simplify]: Extracting #4: cost 154 inf + 694 214.189 * * [simplify]: Extracting #5: cost 78 inf + 16244 214.196 * * [simplify]: Extracting #6: cost 6 inf + 45100 214.205 * * [simplify]: Extracting #7: cost 0 inf + 47227 214.214 * [simplify]: Simplified to (+ (- (* (- 1/4 (/ k 4)) (log (* PI 2))) (- (log (sqrt k)) (* (- 1/4 (/ k 4)) (log (* PI 2))))) (* (log n) (/ (- 1 k) 2))) 214.214 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (- 1/4 (/ k 4)) (log (* PI 2))) (- (log (sqrt k)) (* (- 1/4 (/ k 4)) (log (* PI 2))))) (* (log n) (/ (- 1 k) 2))))) 214.214 * * * * [progress]: [ 234 / 417 ] simplifiying candidate # 214.214 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 214.214 * * [simplify]: iters left: 6 (22 enodes) 214.221 * * [simplify]: iters left: 5 (101 enodes) 214.247 * * [simplify]: iters left: 4 (203 enodes) 214.316 * * [simplify]: Extracting #0: cost 1 inf + 0 214.316 * * [simplify]: Extracting #1: cost 26 inf + 0 214.317 * * [simplify]: Extracting #2: cost 109 inf + 1 214.317 * * [simplify]: Extracting #3: cost 159 inf + 74 214.318 * * [simplify]: Extracting #4: cost 154 inf + 694 214.320 * * [simplify]: Extracting #5: cost 78 inf + 16244 214.328 * * [simplify]: Extracting #6: cost 6 inf + 45100 214.337 * * [simplify]: Extracting #7: cost 0 inf + 47227 214.349 * [simplify]: Simplified to (+ (- (* (- 1/4 (/ k 4)) (log (* PI 2))) (- (log (sqrt k)) (* (- 1/4 (/ k 4)) (log (* PI 2))))) (* (log n) (/ (- 1 k) 2))) 214.349 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (- 1/4 (/ k 4)) (log (* PI 2))) (- (log (sqrt k)) (* (- 1/4 (/ k 4)) (log (* PI 2))))) (* (log n) (/ (- 1 k) 2))))) 214.349 * * * * [progress]: [ 235 / 417 ] simplifiying candidate # 214.349 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 214.349 * * [simplify]: iters left: 6 (22 enodes) 214.356 * * [simplify]: iters left: 5 (102 enodes) 214.374 * * [simplify]: iters left: 4 (208 enodes) 214.428 * * [simplify]: Extracting #0: cost 1 inf + 0 214.428 * * [simplify]: Extracting #1: cost 28 inf + 0 214.429 * * [simplify]: Extracting #2: cost 121 inf + 1 214.430 * * [simplify]: Extracting #3: cost 177 inf + 74 214.430 * * [simplify]: Extracting #4: cost 171 inf + 804 214.432 * * [simplify]: Extracting #5: cost 130 inf + 8438 214.439 * * [simplify]: Extracting #6: cost 25 inf + 41780 214.455 * * [simplify]: Extracting #7: cost 0 inf + 54419 214.465 * * [simplify]: Extracting #8: cost 0 inf + 54256 214.475 * [simplify]: Simplified to (+ (- (* (- 1/4 (/ k 4)) (log (* PI 2))) (log (sqrt k))) (+ (+ (* (- 1/4 (/ k 4)) (log (* PI 2))) (* (- 1/4 (/ k 4)) (log n))) (* (- 1/4 (/ k 4)) (log n)))) 214.475 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (- 1/4 (/ k 4)) (log (* PI 2))) (log (sqrt k))) (+ (+ (* (- 1/4 (/ k 4)) (log (* PI 2))) (* (- 1/4 (/ k 4)) (log n))) (* (- 1/4 (/ k 4)) (log n)))))) 214.475 * * * * [progress]: [ 236 / 417 ] simplifiying candidate # 214.475 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 214.475 * * [simplify]: iters left: 6 (22 enodes) 214.483 * * [simplify]: iters left: 5 (101 enodes) 214.502 * * [simplify]: iters left: 4 (203 enodes) 214.567 * * [simplify]: Extracting #0: cost 1 inf + 0 214.567 * * [simplify]: Extracting #1: cost 26 inf + 0 214.568 * * [simplify]: Extracting #2: cost 109 inf + 1 214.568 * * [simplify]: Extracting #3: cost 159 inf + 74 214.569 * * [simplify]: Extracting #4: cost 154 inf + 694 214.571 * * [simplify]: Extracting #5: cost 78 inf + 16244 214.578 * * [simplify]: Extracting #6: cost 6 inf + 45100 214.598 * * [simplify]: Extracting #7: cost 0 inf + 47227 214.615 * [simplify]: Simplified to (+ (- (* (- 1/4 (/ k 4)) (log (* PI 2))) (- (log (sqrt k)) (* (- 1/4 (/ k 4)) (log (* PI 2))))) (* (log n) (/ (- 1 k) 2))) 214.615 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (- 1/4 (/ k 4)) (log (* PI 2))) (- (log (sqrt k)) (* (- 1/4 (/ k 4)) (log (* PI 2))))) (* (log n) (/ (- 1 k) 2))))) 214.616 * * * * [progress]: [ 237 / 417 ] simplifiying candidate # 214.616 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 214.616 * * [simplify]: iters left: 6 (22 enodes) 214.630 * * [simplify]: iters left: 5 (101 enodes) 214.662 * * [simplify]: iters left: 4 (203 enodes) 214.716 * * [simplify]: Extracting #0: cost 1 inf + 0 214.716 * * [simplify]: Extracting #1: cost 26 inf + 0 214.716 * * [simplify]: Extracting #2: cost 109 inf + 1 214.716 * * [simplify]: Extracting #3: cost 159 inf + 74 214.717 * * [simplify]: Extracting #4: cost 154 inf + 694 214.719 * * [simplify]: Extracting #5: cost 78 inf + 16244 214.726 * * [simplify]: Extracting #6: cost 6 inf + 45100 214.738 * * [simplify]: Extracting #7: cost 0 inf + 47227 214.756 * [simplify]: Simplified to (+ (- (* (- 1/4 (/ k 4)) (log (* PI 2))) (- (log (sqrt k)) (* (- 1/4 (/ k 4)) (log (* PI 2))))) (* (log n) (/ (- 1 k) 2))) 214.756 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (- 1/4 (/ k 4)) (log (* PI 2))) (- (log (sqrt k)) (* (- 1/4 (/ k 4)) (log (* PI 2))))) (* (log n) (/ (- 1 k) 2))))) 214.756 * * * * [progress]: [ 238 / 417 ] simplifiying candidate # 214.756 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 214.757 * * [simplify]: iters left: 6 (22 enodes) 214.769 * * [simplify]: iters left: 5 (102 enodes) 214.803 * * [simplify]: iters left: 4 (208 enodes) 214.857 * * [simplify]: Extracting #0: cost 1 inf + 0 214.857 * * [simplify]: Extracting #1: cost 28 inf + 0 214.858 * * [simplify]: Extracting #2: cost 121 inf + 1 214.858 * * [simplify]: Extracting #3: cost 177 inf + 74 214.859 * * [simplify]: Extracting #4: cost 171 inf + 804 214.860 * * [simplify]: Extracting #5: cost 130 inf + 8438 214.867 * * [simplify]: Extracting #6: cost 25 inf + 41780 214.885 * * [simplify]: Extracting #7: cost 0 inf + 54419 214.902 * * [simplify]: Extracting #8: cost 0 inf + 54256 214.912 * [simplify]: Simplified to (+ (- (* (- 1/4 (/ k 4)) (log (* PI 2))) (log (sqrt k))) (+ (+ (* (- 1/4 (/ k 4)) (log (* PI 2))) (* (- 1/4 (/ k 4)) (log n))) (* (- 1/4 (/ k 4)) (log n)))) 214.912 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (- 1/4 (/ k 4)) (log (* PI 2))) (log (sqrt k))) (+ (+ (* (- 1/4 (/ k 4)) (log (* PI 2))) (* (- 1/4 (/ k 4)) (log n))) (* (- 1/4 (/ k 4)) (log n)))))) 214.912 * * * * [progress]: [ 239 / 417 ] simplifiying candidate # 214.912 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2)))) 214.912 * * [simplify]: iters left: 6 (20 enodes) 214.918 * * [simplify]: iters left: 5 (91 enodes) 214.941 * * [simplify]: iters left: 4 (175 enodes) 215.001 * * [simplify]: iters left: 3 (406 enodes) 215.218 * * [simplify]: Extracting #0: cost 1 inf + 0 215.218 * * [simplify]: Extracting #1: cost 44 inf + 0 215.219 * * [simplify]: Extracting #2: cost 283 inf + 1 215.220 * * [simplify]: Extracting #3: cost 388 inf + 76 215.223 * * [simplify]: Extracting #4: cost 320 inf + 17853 215.241 * * [simplify]: Extracting #5: cost 76 inf + 88826 215.278 * * [simplify]: Extracting #6: cost 7 inf + 119124 215.327 * * [simplify]: Extracting #7: cost 0 inf + 122841 215.377 * * [simplify]: Extracting #8: cost 0 inf + 122840 215.402 * [simplify]: Simplified to (- (* (/ (log n) 2) (- 1 k)) (- (log (sqrt k)) (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (log (* PI 2))))) 215.402 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (log n) 2) (- 1 k)) (- (log (sqrt k)) (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (log (* PI 2))))))) 215.402 * * * * [progress]: [ 240 / 417 ] simplifiying candidate # 215.403 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2)))) 215.403 * * [simplify]: iters left: 6 (20 enodes) 215.412 * * [simplify]: iters left: 5 (91 enodes) 215.444 * * [simplify]: iters left: 4 (175 enodes) 215.518 * * [simplify]: iters left: 3 (406 enodes) 216.150 * * [simplify]: Extracting #0: cost 1 inf + 0 216.150 * * [simplify]: Extracting #1: cost 44 inf + 0 216.151 * * [simplify]: Extracting #2: cost 283 inf + 1 216.153 * * [simplify]: Extracting #3: cost 388 inf + 76 216.156 * * [simplify]: Extracting #4: cost 320 inf + 17853 216.187 * * [simplify]: Extracting #5: cost 76 inf + 88826 216.221 * * [simplify]: Extracting #6: cost 7 inf + 119124 216.251 * * [simplify]: Extracting #7: cost 0 inf + 122841 216.300 * * [simplify]: Extracting #8: cost 0 inf + 122840 216.350 * [simplify]: Simplified to (- (* (/ (log n) 2) (- 1 k)) (- (log (sqrt k)) (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (log (* PI 2))))) 216.350 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (log n) 2) (- 1 k)) (- (log (sqrt k)) (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (log (* PI 2))))))) 216.351 * * * * [progress]: [ 241 / 417 ] simplifiying candidate # 216.351 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2))))) 216.351 * * [simplify]: iters left: 6 (20 enodes) 216.363 * * [simplify]: iters left: 5 (92 enodes) 216.393 * * [simplify]: iters left: 4 (174 enodes) 216.441 * * [simplify]: iters left: 3 (429 enodes) 216.795 * * [simplify]: Extracting #0: cost 1 inf + 0 216.795 * * [simplify]: Extracting #1: cost 55 inf + 0 216.796 * * [simplify]: Extracting #2: cost 347 inf + 1 216.800 * * [simplify]: Extracting #3: cost 470 inf + 3 216.806 * * [simplify]: Extracting #4: cost 395 inf + 14948 216.825 * * [simplify]: Extracting #5: cost 136 inf + 95644 216.856 * * [simplify]: Extracting #6: cost 4 inf + 157620 216.919 * * [simplify]: Extracting #7: cost 0 inf + 158341 216.980 * * [simplify]: Extracting #8: cost 0 inf + 158262 217.041 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (+ (log (* PI 2)) (log n))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log (* PI 2)) (log n)))) 217.041 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (+ (log (* PI 2)) (log n))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log (* PI 2)) (log n)))))) 217.041 * * * * [progress]: [ 242 / 417 ] simplifiying candidate # 217.042 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (log (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 217.042 * * [simplify]: iters left: 6 (20 enodes) 217.052 * * [simplify]: iters left: 5 (90 enodes) 217.067 * * [simplify]: iters left: 4 (177 enodes) 217.118 * * [simplify]: iters left: 3 (464 enodes) 217.408 * * [simplify]: Extracting #0: cost 1 inf + 0 217.408 * * [simplify]: Extracting #1: cost 40 inf + 0 217.409 * * [simplify]: Extracting #2: cost 291 inf + 1 217.410 * * [simplify]: Extracting #3: cost 454 inf + 74 217.414 * * [simplify]: Extracting #4: cost 413 inf + 25085 217.437 * * [simplify]: Extracting #5: cost 115 inf + 149203 217.478 * * [simplify]: Extracting #6: cost 12 inf + 193840 217.522 * * [simplify]: Extracting #7: cost 0 inf + 200568 217.583 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2)))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2))))) 217.583 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2)))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2))))))) 217.583 * * * * [progress]: [ 243 / 417 ] simplifiying candidate # 217.584 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 217.584 * * [simplify]: iters left: 6 (20 enodes) 217.596 * * [simplify]: iters left: 5 (89 enodes) 217.627 * * [simplify]: iters left: 4 (157 enodes) 217.662 * * [simplify]: iters left: 3 (370 enodes) 217.799 * * [simplify]: Extracting #0: cost 1 inf + 0 217.799 * * [simplify]: Extracting #1: cost 62 inf + 0 217.800 * * [simplify]: Extracting #2: cost 283 inf + 1 217.801 * * [simplify]: Extracting #3: cost 329 inf + 298 217.803 * * [simplify]: Extracting #4: cost 310 inf + 3623 217.808 * * [simplify]: Extracting #5: cost 193 inf + 32750 217.831 * * [simplify]: Extracting #6: cost 24 inf + 112105 217.857 * * [simplify]: Extracting #7: cost 0 inf + 122506 217.908 * * [simplify]: Extracting #8: cost 0 inf + 122386 217.947 * [simplify]: Simplified to (+ (- (/ (+ (log PI) (log 2)) (/ 4 (- 1 k))) (- (log (sqrt k)) (* (/ (- 1 k) 2) (log n)))) (/ (+ (log PI) (log 2)) (/ 4 (- 1 k)))) 217.947 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (/ (+ (log PI) (log 2)) (/ 4 (- 1 k))) (- (log (sqrt k)) (* (/ (- 1 k) 2) (log n)))) (/ (+ (log PI) (log 2)) (/ 4 (- 1 k)))))) 217.948 * * * * [progress]: [ 244 / 417 ] simplifiying candidate # 217.948 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 217.948 * * [simplify]: iters left: 6 (20 enodes) 217.955 * * [simplify]: iters left: 5 (89 enodes) 217.972 * * [simplify]: iters left: 4 (157 enodes) 218.041 * * [simplify]: iters left: 3 (370 enodes) 218.216 * * [simplify]: Extracting #0: cost 1 inf + 0 218.216 * * [simplify]: Extracting #1: cost 62 inf + 0 218.217 * * [simplify]: Extracting #2: cost 283 inf + 1 218.219 * * [simplify]: Extracting #3: cost 329 inf + 298 218.224 * * [simplify]: Extracting #4: cost 310 inf + 3623 218.230 * * [simplify]: Extracting #5: cost 193 inf + 32750 218.248 * * [simplify]: Extracting #6: cost 24 inf + 112105 218.272 * * [simplify]: Extracting #7: cost 0 inf + 122506 218.304 * * [simplify]: Extracting #8: cost 0 inf + 122386 218.328 * [simplify]: Simplified to (+ (- (/ (+ (log PI) (log 2)) (/ 4 (- 1 k))) (- (log (sqrt k)) (* (/ (- 1 k) 2) (log n)))) (/ (+ (log PI) (log 2)) (/ 4 (- 1 k)))) 218.329 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (/ (+ (log PI) (log 2)) (/ 4 (- 1 k))) (- (log (sqrt k)) (* (/ (- 1 k) 2) (log n)))) (/ (+ (log PI) (log 2)) (/ 4 (- 1 k)))))) 218.329 * * * * [progress]: [ 245 / 417 ] simplifiying candidate # 218.329 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 218.329 * * [simplify]: iters left: 6 (20 enodes) 218.335 * * [simplify]: iters left: 5 (90 enodes) 218.351 * * [simplify]: iters left: 4 (160 enodes) 218.409 * * [simplify]: iters left: 3 (415 enodes) 218.587 * * [simplify]: Extracting #0: cost 1 inf + 0 218.587 * * [simplify]: Extracting #1: cost 71 inf + 0 218.588 * * [simplify]: Extracting #2: cost 351 inf + 1 218.590 * * [simplify]: Extracting #3: cost 425 inf + 3 218.594 * * [simplify]: Extracting #4: cost 340 inf + 21925 218.613 * * [simplify]: Extracting #5: cost 68 inf + 128688 218.668 * * [simplify]: Extracting #6: cost 6 inf + 157410 218.731 * * [simplify]: Extracting #7: cost 0 inf + 160739 218.790 * [simplify]: Simplified to (+ (* (/ (- 1 k) 4) (+ (log n) (+ (log PI) (log 2)))) (- (* (/ (- 1 k) 4) (+ (log n) (+ (log PI) (log 2)))) (log (sqrt k)))) 218.790 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 4) (+ (log n) (+ (log PI) (log 2)))) (- (* (/ (- 1 k) 4) (+ (log n) (+ (log PI) (log 2)))) (log (sqrt k)))))) 218.790 * * * * [progress]: [ 246 / 417 ] simplifiying candidate # 218.790 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 218.791 * * [simplify]: iters left: 6 (23 enodes) 218.801 * * [simplify]: iters left: 5 (98 enodes) 218.819 * * [simplify]: iters left: 4 (169 enodes) 218.885 * * [simplify]: iters left: 3 (382 enodes) 219.011 * * [simplify]: Extracting #0: cost 1 inf + 0 219.012 * * [simplify]: Extracting #1: cost 63 inf + 0 219.013 * * [simplify]: Extracting #2: cost 276 inf + 1 219.015 * * [simplify]: Extracting #3: cost 325 inf + 75 219.019 * * [simplify]: Extracting #4: cost 281 inf + 11066 219.037 * * [simplify]: Extracting #5: cost 130 inf + 56297 219.074 * * [simplify]: Extracting #6: cost 25 inf + 102690 219.110 * * [simplify]: Extracting #7: cost 0 inf + 115226 219.136 * * [simplify]: Extracting #8: cost 0 inf + 114866 219.180 * [simplify]: Simplified to (- (* (/ (- 1 k) 4) (+ (log (* PI 2)) (log (* PI 2)))) (- (log (sqrt k)) (* (log n) (/ (- 1 k) 2)))) 219.180 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 4) (+ (log (* PI 2)) (log (* PI 2)))) (- (log (sqrt k)) (* (log n) (/ (- 1 k) 2)))))) 219.180 * * * * [progress]: [ 247 / 417 ] simplifiying candidate # 219.180 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 219.181 * * [simplify]: iters left: 6 (23 enodes) 219.194 * * [simplify]: iters left: 5 (98 enodes) 219.222 * * [simplify]: iters left: 4 (169 enodes) 219.272 * * [simplify]: iters left: 3 (382 enodes) 219.436 * * [simplify]: Extracting #0: cost 1 inf + 0 219.437 * * [simplify]: Extracting #1: cost 63 inf + 0 219.442 * * [simplify]: Extracting #2: cost 276 inf + 1 219.444 * * [simplify]: Extracting #3: cost 325 inf + 75 219.449 * * [simplify]: Extracting #4: cost 281 inf + 11066 219.467 * * [simplify]: Extracting #5: cost 130 inf + 56297 219.504 * * [simplify]: Extracting #6: cost 25 inf + 102690 219.542 * * [simplify]: Extracting #7: cost 0 inf + 115226 219.567 * * [simplify]: Extracting #8: cost 0 inf + 114866 219.612 * [simplify]: Simplified to (- (* (/ (- 1 k) 4) (+ (log (* PI 2)) (log (* PI 2)))) (- (log (sqrt k)) (* (log n) (/ (- 1 k) 2)))) 219.613 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 4) (+ (log (* PI 2)) (log (* PI 2)))) (- (log (sqrt k)) (* (log n) (/ (- 1 k) 2)))))) 219.613 * * * * [progress]: [ 248 / 417 ] simplifiying candidate # 219.613 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 219.613 * * [simplify]: iters left: 6 (23 enodes) 219.627 * * [simplify]: iters left: 5 (99 enodes) 219.658 * * [simplify]: iters left: 4 (179 enodes) 219.734 * * [simplify]: iters left: 3 (431 enodes) 219.973 * * [simplify]: Extracting #0: cost 1 inf + 0 219.973 * * [simplify]: Extracting #1: cost 64 inf + 0 219.975 * * [simplify]: Extracting #2: cost 346 inf + 1 219.979 * * [simplify]: Extracting #3: cost 423 inf + 74 219.985 * * [simplify]: Extracting #4: cost 364 inf + 11301 220.016 * * [simplify]: Extracting #5: cost 116 inf + 101242 220.066 * * [simplify]: Extracting #6: cost 8 inf + 150635 220.102 * * [simplify]: Extracting #7: cost 0 inf + 153885 220.136 * [simplify]: Simplified to (- (+ (* (/ (- 1 k) 4) (+ (log (* PI 2)) (log n))) (* (/ (- 1 k) 4) (+ (log (* PI 2)) (log n)))) (log (sqrt k))) 220.136 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (/ (- 1 k) 4) (+ (log (* PI 2)) (log n))) (* (/ (- 1 k) 4) (+ (log (* PI 2)) (log n)))) (log (sqrt k))))) 220.137 * * * * [progress]: [ 249 / 417 ] simplifiying candidate # 220.137 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 220.137 * * [simplify]: iters left: 6 (23 enodes) 220.151 * * [simplify]: iters left: 5 (98 enodes) 220.168 * * [simplify]: iters left: 4 (169 enodes) 220.232 * * [simplify]: iters left: 3 (382 enodes) 220.441 * * [simplify]: Extracting #0: cost 1 inf + 0 220.441 * * [simplify]: Extracting #1: cost 63 inf + 0 220.443 * * [simplify]: Extracting #2: cost 276 inf + 1 220.445 * * [simplify]: Extracting #3: cost 325 inf + 75 220.450 * * [simplify]: Extracting #4: cost 281 inf + 11066 220.468 * * [simplify]: Extracting #5: cost 130 inf + 56297 220.505 * * [simplify]: Extracting #6: cost 25 inf + 102690 220.536 * * [simplify]: Extracting #7: cost 0 inf + 115226 220.569 * * [simplify]: Extracting #8: cost 0 inf + 114866 220.592 * [simplify]: Simplified to (- (* (/ (- 1 k) 4) (+ (log (* PI 2)) (log (* PI 2)))) (- (log (sqrt k)) (* (log n) (/ (- 1 k) 2)))) 220.592 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 4) (+ (log (* PI 2)) (log (* PI 2)))) (- (log (sqrt k)) (* (log n) (/ (- 1 k) 2)))))) 220.592 * * * * [progress]: [ 250 / 417 ] simplifiying candidate # 220.592 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 220.592 * * [simplify]: iters left: 6 (23 enodes) 220.601 * * [simplify]: iters left: 5 (98 enodes) 220.633 * * [simplify]: iters left: 4 (169 enodes) 220.700 * * [simplify]: iters left: 3 (382 enodes) 220.845 * * [simplify]: Extracting #0: cost 1 inf + 0 220.845 * * [simplify]: Extracting #1: cost 63 inf + 0 220.847 * * [simplify]: Extracting #2: cost 276 inf + 1 220.849 * * [simplify]: Extracting #3: cost 325 inf + 75 220.859 * * [simplify]: Extracting #4: cost 281 inf + 11066 220.877 * * [simplify]: Extracting #5: cost 130 inf + 56297 220.914 * * [simplify]: Extracting #6: cost 25 inf + 102690 220.937 * * [simplify]: Extracting #7: cost 0 inf + 115226 220.977 * * [simplify]: Extracting #8: cost 0 inf + 114866 221.006 * [simplify]: Simplified to (- (* (/ (- 1 k) 4) (+ (log (* PI 2)) (log (* PI 2)))) (- (log (sqrt k)) (* (log n) (/ (- 1 k) 2)))) 221.006 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 4) (+ (log (* PI 2)) (log (* PI 2)))) (- (log (sqrt k)) (* (log n) (/ (- 1 k) 2)))))) 221.006 * * * * [progress]: [ 251 / 417 ] simplifiying candidate # 221.006 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 221.006 * * [simplify]: iters left: 6 (23 enodes) 221.014 * * [simplify]: iters left: 5 (99 enodes) 221.031 * * [simplify]: iters left: 4 (179 enodes) 221.110 * * [simplify]: iters left: 3 (431 enodes) 221.331 * * [simplify]: Extracting #0: cost 1 inf + 0 221.331 * * [simplify]: Extracting #1: cost 64 inf + 0 221.333 * * [simplify]: Extracting #2: cost 346 inf + 1 221.336 * * [simplify]: Extracting #3: cost 423 inf + 74 221.342 * * [simplify]: Extracting #4: cost 364 inf + 11301 221.372 * * [simplify]: Extracting #5: cost 116 inf + 101242 221.426 * * [simplify]: Extracting #6: cost 8 inf + 150635 221.487 * * [simplify]: Extracting #7: cost 0 inf + 153885 221.535 * [simplify]: Simplified to (- (+ (* (/ (- 1 k) 4) (+ (log (* PI 2)) (log n))) (* (/ (- 1 k) 4) (+ (log (* PI 2)) (log n)))) (log (sqrt k))) 221.535 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (/ (- 1 k) 4) (+ (log (* PI 2)) (log n))) (* (/ (- 1 k) 4) (+ (log (* PI 2)) (log n)))) (log (sqrt k))))) 221.535 * * * * [progress]: [ 252 / 417 ] simplifiying candidate # 221.536 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2)))) 221.536 * * [simplify]: iters left: 6 (23 enodes) 221.543 * * [simplify]: iters left: 5 (104 enodes) 221.560 * * [simplify]: iters left: 4 (192 enodes) 221.642 * * [simplify]: iters left: 3 (453 enodes) 221.901 * * [simplify]: Extracting #0: cost 1 inf + 0 221.902 * * [simplify]: Extracting #1: cost 74 inf + 0 221.909 * * [simplify]: Extracting #2: cost 370 inf + 1 221.912 * * [simplify]: Extracting #3: cost 457 inf + 75 221.918 * * [simplify]: Extracting #4: cost 412 inf + 12933 221.944 * * [simplify]: Extracting #5: cost 168 inf + 94137 221.975 * * [simplify]: Extracting #6: cost 17 inf + 164496 222.015 * * [simplify]: Extracting #7: cost 0 inf + 172554 222.062 * * [simplify]: Extracting #8: cost 0 inf + 172428 222.108 * [simplify]: Simplified to (+ (* (log (* PI 2)) (/ (- 1 k) 4)) (+ (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k))) (* (log n) (/ (- 1 k) 2)))) 222.108 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (log (* PI 2)) (/ (- 1 k) 4)) (+ (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k))) (* (log n) (/ (- 1 k) 2)))))) 222.109 * * * * [progress]: [ 253 / 417 ] simplifiying candidate # 222.109 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2)))) 222.109 * * [simplify]: iters left: 6 (23 enodes) 222.126 * * [simplify]: iters left: 5 (104 enodes) 222.156 * * [simplify]: iters left: 4 (192 enodes) 222.218 * * [simplify]: iters left: 3 (453 enodes) 222.472 * * [simplify]: Extracting #0: cost 1 inf + 0 222.472 * * [simplify]: Extracting #1: cost 74 inf + 0 222.474 * * [simplify]: Extracting #2: cost 370 inf + 1 222.477 * * [simplify]: Extracting #3: cost 457 inf + 75 222.483 * * [simplify]: Extracting #4: cost 412 inf + 12933 222.513 * * [simplify]: Extracting #5: cost 168 inf + 94137 222.562 * * [simplify]: Extracting #6: cost 17 inf + 164496 222.621 * * [simplify]: Extracting #7: cost 0 inf + 172554 222.683 * * [simplify]: Extracting #8: cost 0 inf + 172428 222.721 * [simplify]: Simplified to (+ (* (log (* PI 2)) (/ (- 1 k) 4)) (+ (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k))) (* (log n) (/ (- 1 k) 2)))) 222.721 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (log (* PI 2)) (/ (- 1 k) 4)) (+ (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k))) (* (log n) (/ (- 1 k) 2)))))) 222.721 * * * * [progress]: [ 254 / 417 ] simplifiying candidate # 222.721 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2))))) 222.722 * * [simplify]: iters left: 6 (23 enodes) 222.735 * * [simplify]: iters left: 5 (105 enodes) 222.768 * * [simplify]: iters left: 4 (195 enodes) 222.839 * * [simplify]: iters left: 3 (487 enodes) 223.091 * * [simplify]: Extracting #0: cost 1 inf + 0 223.091 * * [simplify]: Extracting #1: cost 79 inf + 0 223.092 * * [simplify]: Extracting #2: cost 456 inf + 1 223.094 * * [simplify]: Extracting #3: cost 560 inf + 74 223.098 * * [simplify]: Extracting #4: cost 499 inf + 15223 223.126 * * [simplify]: Extracting #5: cost 152 inf + 145558 223.193 * * [simplify]: Extracting #6: cost 2 inf + 216566 223.247 * * [simplify]: Extracting #7: cost 0 inf + 214759 223.307 * * [simplify]: Extracting #8: cost 0 inf + 214758 223.357 * [simplify]: Simplified to (+ (* (/ (- 1 k) 4) (+ (log (* PI 2)) (log n))) (- (* (/ (- 1 k) 4) (+ (log (* PI 2)) (log n))) (log (sqrt k)))) 223.357 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 4) (+ (log (* PI 2)) (log n))) (- (* (/ (- 1 k) 4) (+ (log (* PI 2)) (log n))) (log (sqrt k)))))) 223.357 * * * * [progress]: [ 255 / 417 ] simplifiying candidate # 223.358 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (log (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 223.358 * * [simplify]: iters left: 6 (22 enodes) 223.367 * * [simplify]: iters left: 5 (99 enodes) 223.384 * * [simplify]: iters left: 4 (191 enodes) 223.454 * * [simplify]: iters left: 3 (496 enodes) 223.678 * * [simplify]: Extracting #0: cost 1 inf + 0 223.678 * * [simplify]: Extracting #1: cost 62 inf + 0 223.679 * * [simplify]: Extracting #2: cost 324 inf + 1 223.681 * * [simplify]: Extracting #3: cost 431 inf + 297 223.689 * * [simplify]: Extracting #4: cost 426 inf + 17618 223.712 * * [simplify]: Extracting #5: cost 94 inf + 170673 223.778 * * [simplify]: Extracting #6: cost 7 inf + 211982 223.820 * * [simplify]: Extracting #7: cost 0 inf + 213578 223.870 * * [simplify]: Extracting #8: cost 0 inf + 213139 223.917 * * [simplify]: Extracting #9: cost 0 inf + 213059 223.954 * [simplify]: Simplified to (- (+ (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2)))) (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2))))) (log (sqrt k))) 223.954 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2)))) (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2))))) (log (sqrt k))))) 223.954 * * * * [progress]: [ 256 / 417 ] simplifiying candidate # 223.955 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 223.955 * * [simplify]: iters left: 6 (23 enodes) 223.963 * * [simplify]: iters left: 5 (95 enodes) 223.979 * * [simplify]: iters left: 4 (165 enodes) 224.029 * * [simplify]: iters left: 3 (370 enodes) 224.184 * * [simplify]: Extracting #0: cost 1 inf + 0 224.184 * * [simplify]: Extracting #1: cost 62 inf + 0 224.185 * * [simplify]: Extracting #2: cost 290 inf + 1 224.186 * * [simplify]: Extracting #3: cost 338 inf + 75 224.188 * * [simplify]: Extracting #4: cost 291 inf + 7921 224.208 * * [simplify]: Extracting #5: cost 116 inf + 64106 224.251 * * [simplify]: Extracting #6: cost 6 inf + 117520 224.298 * * [simplify]: Extracting #7: cost 0 inf + 120784 224.344 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 2) (log n)) (log (sqrt k))) (* (log (* 2 PI)) (+ (/ (- 1 k) 4) (/ (- 1 k) 4)))) 224.344 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 2) (log n)) (log (sqrt k))) (* (log (* 2 PI)) (+ (/ (- 1 k) 4) (/ (- 1 k) 4)))))) 224.345 * * * * [progress]: [ 257 / 417 ] simplifiying candidate # 224.345 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 224.345 * * [simplify]: iters left: 6 (23 enodes) 224.361 * * [simplify]: iters left: 5 (95 enodes) 224.388 * * [simplify]: iters left: 4 (165 enodes) 224.432 * * [simplify]: iters left: 3 (370 enodes) 224.597 * * [simplify]: Extracting #0: cost 1 inf + 0 224.597 * * [simplify]: Extracting #1: cost 62 inf + 0 224.598 * * [simplify]: Extracting #2: cost 290 inf + 1 224.599 * * [simplify]: Extracting #3: cost 338 inf + 75 224.601 * * [simplify]: Extracting #4: cost 291 inf + 7921 224.611 * * [simplify]: Extracting #5: cost 116 inf + 64106 224.637 * * [simplify]: Extracting #6: cost 6 inf + 117520 224.677 * * [simplify]: Extracting #7: cost 0 inf + 120784 224.707 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 2) (log n)) (log (sqrt k))) (* (log (* 2 PI)) (+ (/ (- 1 k) 4) (/ (- 1 k) 4)))) 224.707 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 2) (log n)) (log (sqrt k))) (* (log (* 2 PI)) (+ (/ (- 1 k) 4) (/ (- 1 k) 4)))))) 224.708 * * * * [progress]: [ 258 / 417 ] simplifiying candidate # 224.708 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 224.708 * * [simplify]: iters left: 6 (23 enodes) 224.722 * * [simplify]: iters left: 5 (96 enodes) 224.742 * * [simplify]: iters left: 4 (168 enodes) 224.805 * * [simplify]: iters left: 3 (424 enodes) 225.066 * * [simplify]: Extracting #0: cost 1 inf + 0 225.066 * * [simplify]: Extracting #1: cost 69 inf + 0 225.068 * * [simplify]: Extracting #2: cost 351 inf + 1 225.072 * * [simplify]: Extracting #3: cost 424 inf + 74 225.078 * * [simplify]: Extracting #4: cost 357 inf + 16105 225.112 * * [simplify]: Extracting #5: cost 86 inf + 109771 225.173 * * [simplify]: Extracting #6: cost 3 inf + 150016 225.230 * * [simplify]: Extracting #7: cost 0 inf + 151144 225.258 * [simplify]: Simplified to (- (+ (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n)))) (log (sqrt k))) 225.258 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n)))) (log (sqrt k))))) 225.258 * * * * [progress]: [ 259 / 417 ] simplifiying candidate # 225.259 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 225.259 * * [simplify]: iters left: 6 (19 enodes) 225.265 * * [simplify]: iters left: 5 (89 enodes) 225.290 * * [simplify]: iters left: 4 (160 enodes) 225.350 * * [simplify]: iters left: 3 (324 enodes) 225.441 * * [simplify]: Extracting #0: cost 1 inf + 0 225.441 * * [simplify]: Extracting #1: cost 47 inf + 0 225.442 * * [simplify]: Extracting #2: cost 199 inf + 1 225.444 * * [simplify]: Extracting #3: cost 250 inf + 298 225.447 * * [simplify]: Extracting #4: cost 209 inf + 9360 225.459 * * [simplify]: Extracting #5: cost 91 inf + 39018 225.478 * * [simplify]: Extracting #6: cost 13 inf + 73785 225.497 * * [simplify]: Extracting #7: cost 0 inf + 80597 225.520 * * [simplify]: Extracting #8: cost 0 inf + 80555 225.551 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (log (* 2 PI))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* 2 PI))))) (* (/ (- 1 k) 2) (log n))) 225.551 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (log (* 2 PI))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* 2 PI))))) (* (/ (- 1 k) 2) (log n))))) 225.551 * * * * [progress]: [ 260 / 417 ] simplifiying candidate # 225.552 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 225.552 * * [simplify]: iters left: 6 (19 enodes) 225.564 * * [simplify]: iters left: 5 (89 enodes) 225.593 * * [simplify]: iters left: 4 (160 enodes) 225.646 * * [simplify]: iters left: 3 (324 enodes) 225.741 * * [simplify]: Extracting #0: cost 1 inf + 0 225.741 * * [simplify]: Extracting #1: cost 47 inf + 0 225.742 * * [simplify]: Extracting #2: cost 199 inf + 1 225.744 * * [simplify]: Extracting #3: cost 250 inf + 298 225.747 * * [simplify]: Extracting #4: cost 209 inf + 9360 225.759 * * [simplify]: Extracting #5: cost 91 inf + 39018 225.784 * * [simplify]: Extracting #6: cost 13 inf + 73785 225.814 * * [simplify]: Extracting #7: cost 0 inf + 80597 225.848 * * [simplify]: Extracting #8: cost 0 inf + 80555 225.879 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (log (* 2 PI))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* 2 PI))))) (* (/ (- 1 k) 2) (log n))) 225.879 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (log (* 2 PI))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* 2 PI))))) (* (/ (- 1 k) 2) (log n))))) 225.879 * * * * [progress]: [ 261 / 417 ] simplifiying candidate # 225.880 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 225.880 * * [simplify]: iters left: 6 (19 enodes) 225.891 * * [simplify]: iters left: 5 (90 enodes) 225.911 * * [simplify]: iters left: 4 (163 enodes) 225.952 * * [simplify]: iters left: 3 (368 enodes) 226.105 * * [simplify]: Extracting #0: cost 1 inf + 0 226.105 * * [simplify]: Extracting #1: cost 56 inf + 0 226.107 * * [simplify]: Extracting #2: cost 258 inf + 1 226.109 * * [simplify]: Extracting #3: cost 335 inf + 186 226.113 * * [simplify]: Extracting #4: cost 293 inf + 10798 226.134 * * [simplify]: Extracting #5: cost 109 inf + 70452 226.181 * * [simplify]: Extracting #6: cost 2 inf + 116167 226.211 * * [simplify]: Extracting #7: cost 0 inf + 114695 226.233 * * [simplify]: Extracting #8: cost 0 inf + 114335 226.274 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n)))) 226.274 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n)))))) 226.274 * * * * [progress]: [ 262 / 417 ] simplifiying candidate # 226.274 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 226.275 * * [simplify]: iters left: 6 (19 enodes) 226.286 * * [simplify]: iters left: 5 (89 enodes) 226.311 * * [simplify]: iters left: 4 (160 enodes) 226.348 * * [simplify]: iters left: 3 (324 enodes) 226.465 * * [simplify]: Extracting #0: cost 1 inf + 0 226.466 * * [simplify]: Extracting #1: cost 47 inf + 0 226.467 * * [simplify]: Extracting #2: cost 199 inf + 1 226.468 * * [simplify]: Extracting #3: cost 250 inf + 298 226.472 * * [simplify]: Extracting #4: cost 209 inf + 9360 226.480 * * [simplify]: Extracting #5: cost 91 inf + 39018 226.496 * * [simplify]: Extracting #6: cost 13 inf + 73785 226.514 * * [simplify]: Extracting #7: cost 0 inf + 80597 226.535 * * [simplify]: Extracting #8: cost 0 inf + 80555 226.550 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (log (* 2 PI))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* 2 PI))))) (* (/ (- 1 k) 2) (log n))) 226.550 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (log (* 2 PI))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* 2 PI))))) (* (/ (- 1 k) 2) (log n))))) 226.550 * * * * [progress]: [ 263 / 417 ] simplifiying candidate # 226.551 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 226.551 * * [simplify]: iters left: 6 (19 enodes) 226.561 * * [simplify]: iters left: 5 (89 enodes) 226.581 * * [simplify]: iters left: 4 (160 enodes) 226.628 * * [simplify]: iters left: 3 (324 enodes) 226.767 * * [simplify]: Extracting #0: cost 1 inf + 0 226.767 * * [simplify]: Extracting #1: cost 47 inf + 0 226.767 * * [simplify]: Extracting #2: cost 199 inf + 1 226.768 * * [simplify]: Extracting #3: cost 250 inf + 298 226.770 * * [simplify]: Extracting #4: cost 209 inf + 9360 226.776 * * [simplify]: Extracting #5: cost 91 inf + 39018 226.789 * * [simplify]: Extracting #6: cost 13 inf + 73785 226.805 * * [simplify]: Extracting #7: cost 0 inf + 80597 226.823 * * [simplify]: Extracting #8: cost 0 inf + 80555 226.841 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (log (* 2 PI))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* 2 PI))))) (* (/ (- 1 k) 2) (log n))) 226.841 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (log (* 2 PI))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* 2 PI))))) (* (/ (- 1 k) 2) (log n))))) 226.841 * * * * [progress]: [ 264 / 417 ] simplifiying candidate # 226.841 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 226.841 * * [simplify]: iters left: 6 (19 enodes) 226.848 * * [simplify]: iters left: 5 (90 enodes) 226.863 * * [simplify]: iters left: 4 (163 enodes) 226.920 * * [simplify]: iters left: 3 (368 enodes) 227.108 * * [simplify]: Extracting #0: cost 1 inf + 0 227.108 * * [simplify]: Extracting #1: cost 56 inf + 0 227.109 * * [simplify]: Extracting #2: cost 258 inf + 1 227.110 * * [simplify]: Extracting #3: cost 335 inf + 186 227.112 * * [simplify]: Extracting #4: cost 293 inf + 10798 227.123 * * [simplify]: Extracting #5: cost 109 inf + 70452 227.156 * * [simplify]: Extracting #6: cost 2 inf + 116167 227.197 * * [simplify]: Extracting #7: cost 0 inf + 114695 227.238 * * [simplify]: Extracting #8: cost 0 inf + 114335 227.279 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n)))) 227.279 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n)))))) 227.279 * * * * [progress]: [ 265 / 417 ] simplifiying candidate # 227.279 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2)))) 227.280 * * [simplify]: iters left: 6 (21 enodes) 227.293 * * [simplify]: iters left: 5 (98 enodes) 227.328 * * [simplify]: iters left: 4 (190 enodes) 227.405 * * [simplify]: iters left: 3 (409 enodes) 227.636 * * [simplify]: Extracting #0: cost 1 inf + 0 227.636 * * [simplify]: Extracting #1: cost 62 inf + 0 227.637 * * [simplify]: Extracting #2: cost 277 inf + 1 227.640 * * [simplify]: Extracting #3: cost 366 inf + 75 227.648 * * [simplify]: Extracting #4: cost 313 inf + 16037 227.672 * * [simplify]: Extracting #5: cost 116 inf + 72902 227.721 * * [simplify]: Extracting #6: cost 24 inf + 117034 227.769 * * [simplify]: Extracting #7: cost 0 inf + 130482 227.818 * * [simplify]: Extracting #8: cost 0 inf + 130242 227.868 * * [simplify]: Extracting #9: cost 0 inf + 130163 227.898 * [simplify]: Simplified to (+ (+ (* (/ (- 1 k) 2) (log n)) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k)))) (* (/ (- 1 k) 4) (log (* 2 PI)))) 227.898 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (* (/ (- 1 k) 2) (log n)) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k)))) (* (/ (- 1 k) 4) (log (* 2 PI)))))) 227.898 * * * * [progress]: [ 266 / 417 ] simplifiying candidate # 227.899 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2)))) 227.899 * * [simplify]: iters left: 6 (21 enodes) 227.905 * * [simplify]: iters left: 5 (98 enodes) 227.921 * * [simplify]: iters left: 4 (190 enodes) 227.981 * * [simplify]: iters left: 3 (409 enodes) 228.111 * * [simplify]: Extracting #0: cost 1 inf + 0 228.112 * * [simplify]: Extracting #1: cost 62 inf + 0 228.113 * * [simplify]: Extracting #2: cost 277 inf + 1 228.117 * * [simplify]: Extracting #3: cost 366 inf + 75 228.128 * * [simplify]: Extracting #4: cost 313 inf + 16037 228.151 * * [simplify]: Extracting #5: cost 116 inf + 72902 228.193 * * [simplify]: Extracting #6: cost 24 inf + 117034 228.240 * * [simplify]: Extracting #7: cost 0 inf + 130482 228.289 * * [simplify]: Extracting #8: cost 0 inf + 130242 228.313 * * [simplify]: Extracting #9: cost 0 inf + 130163 228.355 * [simplify]: Simplified to (+ (+ (* (/ (- 1 k) 2) (log n)) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k)))) (* (/ (- 1 k) 4) (log (* 2 PI)))) 228.355 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (* (/ (- 1 k) 2) (log n)) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k)))) (* (/ (- 1 k) 4) (log (* 2 PI)))))) 228.355 * * * * [progress]: [ 267 / 417 ] simplifiying candidate # 228.356 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2))))) 228.356 * * [simplify]: iters left: 6 (21 enodes) 228.369 * * [simplify]: iters left: 5 (99 enodes) 228.403 * * [simplify]: iters left: 4 (192 enodes) 228.460 * * [simplify]: iters left: 3 (452 enodes) 228.623 * * [simplify]: Extracting #0: cost 1 inf + 0 228.624 * * [simplify]: Extracting #1: cost 70 inf + 0 228.626 * * [simplify]: Extracting #2: cost 363 inf + 1 228.629 * * [simplify]: Extracting #3: cost 472 inf + 3 228.637 * * [simplify]: Extracting #4: cost 382 inf + 23756 228.683 * * [simplify]: Extracting #5: cost 81 inf + 138339 228.745 * * [simplify]: Extracting #6: cost 3 inf + 172647 228.808 * * [simplify]: Extracting #7: cost 0 inf + 173835 228.841 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n)))) 228.841 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n)))))) 228.841 * * * * [progress]: [ 268 / 417 ] simplifiying candidate # 228.841 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 228.842 * * [simplify]: iters left: 6 (20 enodes) 228.850 * * [simplify]: iters left: 5 (95 enodes) 228.882 * * [simplify]: iters left: 4 (191 enodes) 228.936 * * [simplify]: iters left: 3 (490 enodes) 229.195 * * [simplify]: Extracting #0: cost 1 inf + 0 229.195 * * [simplify]: Extracting #1: cost 70 inf + 0 229.197 * * [simplify]: Extracting #2: cost 345 inf + 1 229.201 * * [simplify]: Extracting #3: cost 471 inf + 74 229.208 * * [simplify]: Extracting #4: cost 441 inf + 18453 229.245 * * [simplify]: Extracting #5: cost 121 inf + 158034 229.282 * * [simplify]: Extracting #6: cost 7 inf + 216574 229.324 * * [simplify]: Extracting #7: cost 0 inf + 219817 229.365 * * [simplify]: Extracting #8: cost 0 inf + 219644 229.408 * [simplify]: Simplified to (- (+ (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n)))) (log (sqrt k))) 229.408 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n)))) (log (sqrt k))))) 229.408 * * * * [progress]: [ 269 / 417 ] simplifiying candidate # 229.409 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 229.409 * * [simplify]: iters left: 6 (23 enodes) 229.423 * * [simplify]: iters left: 5 (95 enodes) 229.453 * * [simplify]: iters left: 4 (165 enodes) 229.521 * * [simplify]: iters left: 3 (370 enodes) 229.652 * * [simplify]: Extracting #0: cost 1 inf + 0 229.652 * * [simplify]: Extracting #1: cost 62 inf + 0 229.653 * * [simplify]: Extracting #2: cost 290 inf + 1 229.654 * * [simplify]: Extracting #3: cost 338 inf + 75 229.656 * * [simplify]: Extracting #4: cost 291 inf + 7921 229.666 * * [simplify]: Extracting #5: cost 116 inf + 64106 229.688 * * [simplify]: Extracting #6: cost 6 inf + 117520 229.727 * * [simplify]: Extracting #7: cost 0 inf + 120784 229.756 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 2) (log n)) (log (sqrt k))) (* (log (* 2 PI)) (+ (/ (- 1 k) 4) (/ (- 1 k) 4)))) 229.756 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 2) (log n)) (log (sqrt k))) (* (log (* 2 PI)) (+ (/ (- 1 k) 4) (/ (- 1 k) 4)))))) 229.757 * * * * [progress]: [ 270 / 417 ] simplifiying candidate # 229.757 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 229.757 * * [simplify]: iters left: 6 (23 enodes) 229.768 * * [simplify]: iters left: 5 (95 enodes) 229.784 * * [simplify]: iters left: 4 (165 enodes) 229.843 * * [simplify]: iters left: 3 (370 enodes) 230.005 * * [simplify]: Extracting #0: cost 1 inf + 0 230.005 * * [simplify]: Extracting #1: cost 62 inf + 0 230.006 * * [simplify]: Extracting #2: cost 290 inf + 1 230.007 * * [simplify]: Extracting #3: cost 338 inf + 75 230.013 * * [simplify]: Extracting #4: cost 291 inf + 7921 230.029 * * [simplify]: Extracting #5: cost 116 inf + 64106 230.072 * * [simplify]: Extracting #6: cost 6 inf + 117520 230.101 * * [simplify]: Extracting #7: cost 0 inf + 120784 230.129 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 2) (log n)) (log (sqrt k))) (* (log (* 2 PI)) (+ (/ (- 1 k) 4) (/ (- 1 k) 4)))) 230.129 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 2) (log n)) (log (sqrt k))) (* (log (* 2 PI)) (+ (/ (- 1 k) 4) (/ (- 1 k) 4)))))) 230.129 * * * * [progress]: [ 271 / 417 ] simplifiying candidate # 230.129 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 230.130 * * [simplify]: iters left: 6 (23 enodes) 230.143 * * [simplify]: iters left: 5 (96 enodes) 230.175 * * [simplify]: iters left: 4 (168 enodes) 230.250 * * [simplify]: iters left: 3 (424 enodes) 230.457 * * [simplify]: Extracting #0: cost 1 inf + 0 230.458 * * [simplify]: Extracting #1: cost 69 inf + 0 230.459 * * [simplify]: Extracting #2: cost 351 inf + 1 230.464 * * [simplify]: Extracting #3: cost 424 inf + 74 230.471 * * [simplify]: Extracting #4: cost 357 inf + 16105 230.501 * * [simplify]: Extracting #5: cost 86 inf + 109771 230.533 * * [simplify]: Extracting #6: cost 3 inf + 150016 230.591 * * [simplify]: Extracting #7: cost 0 inf + 151144 230.647 * [simplify]: Simplified to (- (+ (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n)))) (log (sqrt k))) 230.647 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n)))) (log (sqrt k))))) 230.647 * * * * [progress]: [ 272 / 417 ] simplifiying candidate # 230.647 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 230.648 * * [simplify]: iters left: 6 (19 enodes) 230.660 * * [simplify]: iters left: 5 (89 enodes) 230.690 * * [simplify]: iters left: 4 (160 enodes) 230.752 * * [simplify]: iters left: 3 (324 enodes) 230.877 * * [simplify]: Extracting #0: cost 1 inf + 0 230.878 * * [simplify]: Extracting #1: cost 47 inf + 0 230.879 * * [simplify]: Extracting #2: cost 199 inf + 1 230.880 * * [simplify]: Extracting #3: cost 250 inf + 298 230.884 * * [simplify]: Extracting #4: cost 209 inf + 9360 230.896 * * [simplify]: Extracting #5: cost 91 inf + 39018 230.921 * * [simplify]: Extracting #6: cost 13 inf + 73785 230.952 * * [simplify]: Extracting #7: cost 0 inf + 80597 230.982 * * [simplify]: Extracting #8: cost 0 inf + 80555 231.016 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (log (* 2 PI))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* 2 PI))))) (* (/ (- 1 k) 2) (log n))) 231.016 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (log (* 2 PI))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* 2 PI))))) (* (/ (- 1 k) 2) (log n))))) 231.017 * * * * [progress]: [ 273 / 417 ] simplifiying candidate # 231.017 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 231.017 * * [simplify]: iters left: 6 (19 enodes) 231.029 * * [simplify]: iters left: 5 (89 enodes) 231.047 * * [simplify]: iters left: 4 (160 enodes) 231.081 * * [simplify]: iters left: 3 (324 enodes) 231.226 * * [simplify]: Extracting #0: cost 1 inf + 0 231.226 * * [simplify]: Extracting #1: cost 47 inf + 0 231.227 * * [simplify]: Extracting #2: cost 199 inf + 1 231.228 * * [simplify]: Extracting #3: cost 250 inf + 298 231.235 * * [simplify]: Extracting #4: cost 209 inf + 9360 231.248 * * [simplify]: Extracting #5: cost 91 inf + 39018 231.272 * * [simplify]: Extracting #6: cost 13 inf + 73785 231.303 * * [simplify]: Extracting #7: cost 0 inf + 80597 231.334 * * [simplify]: Extracting #8: cost 0 inf + 80555 231.364 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (log (* 2 PI))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* 2 PI))))) (* (/ (- 1 k) 2) (log n))) 231.365 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (log (* 2 PI))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* 2 PI))))) (* (/ (- 1 k) 2) (log n))))) 231.365 * * * * [progress]: [ 274 / 417 ] simplifiying candidate # 231.365 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 231.365 * * [simplify]: iters left: 6 (19 enodes) 231.375 * * [simplify]: iters left: 5 (90 enodes) 231.392 * * [simplify]: iters left: 4 (163 enodes) 231.440 * * [simplify]: iters left: 3 (368 enodes) 231.578 * * [simplify]: Extracting #0: cost 1 inf + 0 231.578 * * [simplify]: Extracting #1: cost 56 inf + 0 231.579 * * [simplify]: Extracting #2: cost 258 inf + 1 231.580 * * [simplify]: Extracting #3: cost 335 inf + 186 231.582 * * [simplify]: Extracting #4: cost 293 inf + 10798 231.592 * * [simplify]: Extracting #5: cost 109 inf + 70452 231.614 * * [simplify]: Extracting #6: cost 2 inf + 116167 231.644 * * [simplify]: Extracting #7: cost 0 inf + 114695 231.688 * * [simplify]: Extracting #8: cost 0 inf + 114335 231.731 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n)))) 231.731 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n)))))) 231.731 * * * * [progress]: [ 275 / 417 ] simplifiying candidate # 231.732 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 231.732 * * [simplify]: iters left: 6 (19 enodes) 231.743 * * [simplify]: iters left: 5 (89 enodes) 231.758 * * [simplify]: iters left: 4 (160 enodes) 231.790 * * [simplify]: iters left: 3 (324 enodes) 231.895 * * [simplify]: Extracting #0: cost 1 inf + 0 231.895 * * [simplify]: Extracting #1: cost 47 inf + 0 231.896 * * [simplify]: Extracting #2: cost 199 inf + 1 231.897 * * [simplify]: Extracting #3: cost 250 inf + 298 231.899 * * [simplify]: Extracting #4: cost 209 inf + 9360 231.905 * * [simplify]: Extracting #5: cost 91 inf + 39018 231.918 * * [simplify]: Extracting #6: cost 13 inf + 73785 231.934 * * [simplify]: Extracting #7: cost 0 inf + 80597 231.962 * * [simplify]: Extracting #8: cost 0 inf + 80555 231.990 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (log (* 2 PI))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* 2 PI))))) (* (/ (- 1 k) 2) (log n))) 231.991 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (log (* 2 PI))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* 2 PI))))) (* (/ (- 1 k) 2) (log n))))) 231.991 * * * * [progress]: [ 276 / 417 ] simplifiying candidate # 231.991 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 231.991 * * [simplify]: iters left: 6 (19 enodes) 231.998 * * [simplify]: iters left: 5 (89 enodes) 232.013 * * [simplify]: iters left: 4 (160 enodes) 232.060 * * [simplify]: iters left: 3 (324 enodes) 232.147 * * [simplify]: Extracting #0: cost 1 inf + 0 232.147 * * [simplify]: Extracting #1: cost 47 inf + 0 232.152 * * [simplify]: Extracting #2: cost 199 inf + 1 232.154 * * [simplify]: Extracting #3: cost 250 inf + 298 232.157 * * [simplify]: Extracting #4: cost 209 inf + 9360 232.163 * * [simplify]: Extracting #5: cost 91 inf + 39018 232.176 * * [simplify]: Extracting #6: cost 13 inf + 73785 232.198 * * [simplify]: Extracting #7: cost 0 inf + 80597 232.214 * * [simplify]: Extracting #8: cost 0 inf + 80555 232.231 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (log (* 2 PI))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* 2 PI))))) (* (/ (- 1 k) 2) (log n))) 232.231 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (log (* 2 PI))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* 2 PI))))) (* (/ (- 1 k) 2) (log n))))) 232.232 * * * * [progress]: [ 277 / 417 ] simplifiying candidate # 232.232 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 232.232 * * [simplify]: iters left: 6 (19 enodes) 232.244 * * [simplify]: iters left: 5 (90 enodes) 232.260 * * [simplify]: iters left: 4 (163 enodes) 232.301 * * [simplify]: iters left: 3 (368 enodes) 232.448 * * [simplify]: Extracting #0: cost 1 inf + 0 232.449 * * [simplify]: Extracting #1: cost 56 inf + 0 232.450 * * [simplify]: Extracting #2: cost 258 inf + 1 232.452 * * [simplify]: Extracting #3: cost 335 inf + 186 232.457 * * [simplify]: Extracting #4: cost 293 inf + 10798 232.468 * * [simplify]: Extracting #5: cost 109 inf + 70452 232.493 * * [simplify]: Extracting #6: cost 2 inf + 116167 232.534 * * [simplify]: Extracting #7: cost 0 inf + 114695 232.558 * * [simplify]: Extracting #8: cost 0 inf + 114335 232.588 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n)))) 232.588 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n)))))) 232.588 * * * * [progress]: [ 278 / 417 ] simplifiying candidate # 232.589 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2)))) 232.589 * * [simplify]: iters left: 6 (21 enodes) 232.601 * * [simplify]: iters left: 5 (98 enodes) 232.634 * * [simplify]: iters left: 4 (190 enodes) 232.690 * * [simplify]: iters left: 3 (409 enodes) 232.847 * * [simplify]: Extracting #0: cost 1 inf + 0 232.847 * * [simplify]: Extracting #1: cost 62 inf + 0 232.848 * * [simplify]: Extracting #2: cost 277 inf + 1 232.850 * * [simplify]: Extracting #3: cost 366 inf + 75 232.857 * * [simplify]: Extracting #4: cost 313 inf + 16037 232.881 * * [simplify]: Extracting #5: cost 116 inf + 72902 232.923 * * [simplify]: Extracting #6: cost 24 inf + 117034 232.958 * * [simplify]: Extracting #7: cost 0 inf + 130482 232.991 * * [simplify]: Extracting #8: cost 0 inf + 130242 233.038 * * [simplify]: Extracting #9: cost 0 inf + 130163 233.086 * [simplify]: Simplified to (+ (+ (* (/ (- 1 k) 2) (log n)) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k)))) (* (/ (- 1 k) 4) (log (* 2 PI)))) 233.086 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (* (/ (- 1 k) 2) (log n)) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k)))) (* (/ (- 1 k) 4) (log (* 2 PI)))))) 233.086 * * * * [progress]: [ 279 / 417 ] simplifiying candidate # 233.086 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2)))) 233.087 * * [simplify]: iters left: 6 (21 enodes) 233.099 * * [simplify]: iters left: 5 (98 enodes) 233.133 * * [simplify]: iters left: 4 (190 enodes) 233.206 * * [simplify]: iters left: 3 (409 enodes) 233.382 * * [simplify]: Extracting #0: cost 1 inf + 0 233.382 * * [simplify]: Extracting #1: cost 62 inf + 0 233.383 * * [simplify]: Extracting #2: cost 277 inf + 1 233.385 * * [simplify]: Extracting #3: cost 366 inf + 75 233.392 * * [simplify]: Extracting #4: cost 313 inf + 16037 233.416 * * [simplify]: Extracting #5: cost 116 inf + 72902 233.452 * * [simplify]: Extracting #6: cost 24 inf + 117034 233.489 * * [simplify]: Extracting #7: cost 0 inf + 130482 233.536 * * [simplify]: Extracting #8: cost 0 inf + 130242 233.579 * * [simplify]: Extracting #9: cost 0 inf + 130163 233.604 * [simplify]: Simplified to (+ (+ (* (/ (- 1 k) 2) (log n)) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k)))) (* (/ (- 1 k) 4) (log (* 2 PI)))) 233.604 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (* (/ (- 1 k) 2) (log n)) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k)))) (* (/ (- 1 k) 4) (log (* 2 PI)))))) 233.604 * * * * [progress]: [ 280 / 417 ] simplifiying candidate # 233.604 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2))))) 233.604 * * [simplify]: iters left: 6 (21 enodes) 233.612 * * [simplify]: iters left: 5 (99 enodes) 233.631 * * [simplify]: iters left: 4 (192 enodes) 233.688 * * [simplify]: iters left: 3 (452 enodes) 233.892 * * [simplify]: Extracting #0: cost 1 inf + 0 233.893 * * [simplify]: Extracting #1: cost 70 inf + 0 233.894 * * [simplify]: Extracting #2: cost 363 inf + 1 233.898 * * [simplify]: Extracting #3: cost 472 inf + 3 233.907 * * [simplify]: Extracting #4: cost 382 inf + 23756 233.948 * * [simplify]: Extracting #5: cost 81 inf + 138339 234.015 * * [simplify]: Extracting #6: cost 3 inf + 172647 234.079 * * [simplify]: Extracting #7: cost 0 inf + 173835 234.142 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n)))) 234.142 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n)))))) 234.142 * * * * [progress]: [ 281 / 417 ] simplifiying candidate # 234.142 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 234.143 * * [simplify]: iters left: 6 (20 enodes) 234.155 * * [simplify]: iters left: 5 (95 enodes) 234.179 * * [simplify]: iters left: 4 (191 enodes) 234.234 * * [simplify]: iters left: 3 (490 enodes) 234.520 * * [simplify]: Extracting #0: cost 1 inf + 0 234.520 * * [simplify]: Extracting #1: cost 70 inf + 0 234.522 * * [simplify]: Extracting #2: cost 345 inf + 1 234.525 * * [simplify]: Extracting #3: cost 471 inf + 74 234.533 * * [simplify]: Extracting #4: cost 441 inf + 18453 234.559 * * [simplify]: Extracting #5: cost 121 inf + 158034 234.620 * * [simplify]: Extracting #6: cost 7 inf + 216574 234.690 * * [simplify]: Extracting #7: cost 0 inf + 219817 234.762 * * [simplify]: Extracting #8: cost 0 inf + 219644 234.827 * [simplify]: Simplified to (- (+ (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n)))) (log (sqrt k))) 234.827 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n)))) (log (sqrt k))))) 234.828 * * * * [progress]: [ 282 / 417 ] simplifiying candidate # 234.828 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 234.828 * * [simplify]: iters left: 6 (23 enodes) 234.840 * * [simplify]: iters left: 5 (104 enodes) 234.866 * * [simplify]: iters left: 4 (197 enodes) 234.930 * * [simplify]: iters left: 3 (466 enodes) 235.167 * * [simplify]: Extracting #0: cost 1 inf + 0 235.167 * * [simplify]: Extracting #1: cost 73 inf + 0 235.169 * * [simplify]: Extracting #2: cost 348 inf + 1 235.171 * * [simplify]: Extracting #3: cost 428 inf + 187 235.182 * * [simplify]: Extracting #4: cost 385 inf + 13471 235.197 * * [simplify]: Extracting #5: cost 159 inf + 86265 235.227 * * [simplify]: Extracting #6: cost 16 inf + 156640 235.282 * * [simplify]: Extracting #7: cost 0 inf + 165376 235.347 * * [simplify]: Extracting #8: cost 0 inf + 165214 235.409 * [simplify]: Simplified to (+ (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log (* 2 PI)))) (- (* (log n) (/ (- 1 k) 2)) (log (sqrt k)))) 235.409 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log (* 2 PI)))) (- (* (log n) (/ (- 1 k) 2)) (log (sqrt k)))))) 235.410 * * * * [progress]: [ 283 / 417 ] simplifiying candidate # 235.410 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 235.410 * * [simplify]: iters left: 6 (23 enodes) 235.424 * * [simplify]: iters left: 5 (104 enodes) 235.445 * * [simplify]: iters left: 4 (197 enodes) 235.494 * * [simplify]: iters left: 3 (466 enodes) 235.705 * * [simplify]: Extracting #0: cost 1 inf + 0 235.705 * * [simplify]: Extracting #1: cost 73 inf + 0 235.706 * * [simplify]: Extracting #2: cost 348 inf + 1 235.707 * * [simplify]: Extracting #3: cost 428 inf + 187 235.712 * * [simplify]: Extracting #4: cost 385 inf + 13471 235.736 * * [simplify]: Extracting #5: cost 159 inf + 86265 235.765 * * [simplify]: Extracting #6: cost 16 inf + 156640 235.800 * * [simplify]: Extracting #7: cost 0 inf + 165376 235.859 * * [simplify]: Extracting #8: cost 0 inf + 165214 235.920 * [simplify]: Simplified to (+ (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log (* 2 PI)))) (- (* (log n) (/ (- 1 k) 2)) (log (sqrt k)))) 235.920 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log (* 2 PI)))) (- (* (log n) (/ (- 1 k) 2)) (log (sqrt k)))))) 235.921 * * * * [progress]: [ 284 / 417 ] simplifiying candidate # 235.921 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 235.921 * * [simplify]: iters left: 6 (23 enodes) 235.936 * * [simplify]: iters left: 5 (105 enodes) 235.959 * * [simplify]: iters left: 4 (199 enodes) 236.033 * * [simplify]: iters left: 3 (497 enodes) 236.269 * * [simplify]: Extracting #0: cost 1 inf + 0 236.270 * * [simplify]: Extracting #1: cost 82 inf + 0 236.275 * * [simplify]: Extracting #2: cost 436 inf + 1 236.277 * * [simplify]: Extracting #3: cost 525 inf + 298 236.280 * * [simplify]: Extracting #4: cost 478 inf + 12607 236.300 * * [simplify]: Extracting #5: cost 142 inf + 149780 236.367 * * [simplify]: Extracting #6: cost 4 inf + 213190 236.412 * * [simplify]: Extracting #7: cost 0 inf + 209525 236.486 * * [simplify]: Extracting #8: cost 0 inf + 209296 236.529 * [simplify]: Simplified to (- (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) (log (sqrt k))) 236.529 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) (log (sqrt k))))) 236.529 * * * * [progress]: [ 285 / 417 ] simplifiying candidate # 236.529 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 236.529 * * [simplify]: iters left: 6 (21 enodes) 236.537 * * [simplify]: iters left: 5 (98 enodes) 236.555 * * [simplify]: iters left: 4 (194 enodes) 236.623 * * [simplify]: iters left: 3 (433 enodes) 236.808 * * [simplify]: Extracting #0: cost 1 inf + 0 236.808 * * [simplify]: Extracting #1: cost 63 inf + 0 236.815 * * [simplify]: Extracting #2: cost 289 inf + 1 236.818 * * [simplify]: Extracting #3: cost 368 inf + 75 236.826 * * [simplify]: Extracting #4: cost 285 inf + 19595 236.859 * * [simplify]: Extracting #5: cost 59 inf + 105646 236.903 * * [simplify]: Extracting #6: cost 6 inf + 131134 236.936 * * [simplify]: Extracting #7: cost 0 inf + 133681 236.987 * [simplify]: Simplified to (- (+ (* (log n) (/ (- 1 k) 2)) (+ (* (log (* 2 PI)) (/ (- 1 k) 4)) (* (log (* 2 PI)) (/ (- 1 k) 4)))) (log (sqrt k))) 236.988 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (log n) (/ (- 1 k) 2)) (+ (* (log (* 2 PI)) (/ (- 1 k) 4)) (* (log (* 2 PI)) (/ (- 1 k) 4)))) (log (sqrt k))))) 236.988 * * * * [progress]: [ 286 / 417 ] simplifiying candidate # 236.988 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 236.988 * * [simplify]: iters left: 6 (21 enodes) 237.001 * * [simplify]: iters left: 5 (98 enodes) 237.034 * * [simplify]: iters left: 4 (194 enodes) 237.117 * * [simplify]: iters left: 3 (433 enodes) 237.281 * * [simplify]: Extracting #0: cost 1 inf + 0 237.281 * * [simplify]: Extracting #1: cost 63 inf + 0 237.282 * * [simplify]: Extracting #2: cost 289 inf + 1 237.287 * * [simplify]: Extracting #3: cost 368 inf + 75 237.291 * * [simplify]: Extracting #4: cost 285 inf + 19595 237.308 * * [simplify]: Extracting #5: cost 59 inf + 105646 237.344 * * [simplify]: Extracting #6: cost 6 inf + 131134 237.372 * * [simplify]: Extracting #7: cost 0 inf + 133681 237.419 * [simplify]: Simplified to (- (+ (* (log n) (/ (- 1 k) 2)) (+ (* (log (* 2 PI)) (/ (- 1 k) 4)) (* (log (* 2 PI)) (/ (- 1 k) 4)))) (log (sqrt k))) 237.419 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (log n) (/ (- 1 k) 2)) (+ (* (log (* 2 PI)) (/ (- 1 k) 4)) (* (log (* 2 PI)) (/ (- 1 k) 4)))) (log (sqrt k))))) 237.420 * * * * [progress]: [ 287 / 417 ] simplifiying candidate # 237.420 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 237.420 * * [simplify]: iters left: 6 (21 enodes) 237.433 * * [simplify]: iters left: 5 (99 enodes) 237.466 * * [simplify]: iters left: 4 (196 enodes) 237.550 * * [simplify]: iters left: 3 (455 enodes) 237.767 * * [simplify]: Extracting #0: cost 1 inf + 0 237.767 * * [simplify]: Extracting #1: cost 69 inf + 0 237.768 * * [simplify]: Extracting #2: cost 350 inf + 1 237.771 * * [simplify]: Extracting #3: cost 451 inf + 74 237.777 * * [simplify]: Extracting #4: cost 389 inf + 13167 237.802 * * [simplify]: Extracting #5: cost 124 inf + 105975 237.840 * * [simplify]: Extracting #6: cost 3 inf + 169546 237.884 * * [simplify]: Extracting #7: cost 0 inf + 169673 237.924 * * [simplify]: Extracting #8: cost 0 inf + 169274 237.961 * [simplify]: Simplified to (- (+ (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n)))) (log (sqrt k))) 237.961 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n)))) (log (sqrt k))))) 237.961 * * * * [progress]: [ 288 / 417 ] simplifiying candidate # 237.962 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 237.962 * * [simplify]: iters left: 6 (21 enodes) 237.972 * * [simplify]: iters left: 5 (98 enodes) 238.005 * * [simplify]: iters left: 4 (194 enodes) 238.087 * * [simplify]: iters left: 3 (433 enodes) 238.273 * * [simplify]: Extracting #0: cost 1 inf + 0 238.273 * * [simplify]: Extracting #1: cost 63 inf + 0 238.274 * * [simplify]: Extracting #2: cost 289 inf + 1 238.275 * * [simplify]: Extracting #3: cost 368 inf + 75 238.282 * * [simplify]: Extracting #4: cost 285 inf + 19595 238.309 * * [simplify]: Extracting #5: cost 59 inf + 105646 238.358 * * [simplify]: Extracting #6: cost 6 inf + 131134 238.408 * * [simplify]: Extracting #7: cost 0 inf + 133681 238.459 * [simplify]: Simplified to (- (+ (* (log n) (/ (- 1 k) 2)) (+ (* (log (* 2 PI)) (/ (- 1 k) 4)) (* (log (* 2 PI)) (/ (- 1 k) 4)))) (log (sqrt k))) 238.460 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (log n) (/ (- 1 k) 2)) (+ (* (log (* 2 PI)) (/ (- 1 k) 4)) (* (log (* 2 PI)) (/ (- 1 k) 4)))) (log (sqrt k))))) 238.460 * * * * [progress]: [ 289 / 417 ] simplifiying candidate # 238.460 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 238.460 * * [simplify]: iters left: 6 (21 enodes) 238.473 * * [simplify]: iters left: 5 (98 enodes) 238.506 * * [simplify]: iters left: 4 (194 enodes) 238.563 * * [simplify]: iters left: 3 (433 enodes) 238.732 * * [simplify]: Extracting #0: cost 1 inf + 0 238.733 * * [simplify]: Extracting #1: cost 63 inf + 0 238.734 * * [simplify]: Extracting #2: cost 289 inf + 1 238.737 * * [simplify]: Extracting #3: cost 368 inf + 75 238.746 * * [simplify]: Extracting #4: cost 285 inf + 19595 238.763 * * [simplify]: Extracting #5: cost 59 inf + 105646 238.809 * * [simplify]: Extracting #6: cost 6 inf + 131134 238.844 * * [simplify]: Extracting #7: cost 0 inf + 133681 238.883 * [simplify]: Simplified to (- (+ (* (log n) (/ (- 1 k) 2)) (+ (* (log (* 2 PI)) (/ (- 1 k) 4)) (* (log (* 2 PI)) (/ (- 1 k) 4)))) (log (sqrt k))) 238.883 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (log n) (/ (- 1 k) 2)) (+ (* (log (* 2 PI)) (/ (- 1 k) 4)) (* (log (* 2 PI)) (/ (- 1 k) 4)))) (log (sqrt k))))) 238.883 * * * * [progress]: [ 290 / 417 ] simplifiying candidate # 238.883 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 238.884 * * [simplify]: iters left: 6 (21 enodes) 238.891 * * [simplify]: iters left: 5 (99 enodes) 238.908 * * [simplify]: iters left: 4 (196 enodes) 238.976 * * [simplify]: iters left: 3 (455 enodes) 239.209 * * [simplify]: Extracting #0: cost 1 inf + 0 239.209 * * [simplify]: Extracting #1: cost 69 inf + 0 239.210 * * [simplify]: Extracting #2: cost 350 inf + 1 239.212 * * [simplify]: Extracting #3: cost 451 inf + 74 239.215 * * [simplify]: Extracting #4: cost 389 inf + 13167 239.236 * * [simplify]: Extracting #5: cost 124 inf + 105975 239.268 * * [simplify]: Extracting #6: cost 3 inf + 169546 239.311 * * [simplify]: Extracting #7: cost 0 inf + 169673 239.366 * * [simplify]: Extracting #8: cost 0 inf + 169274 239.429 * [simplify]: Simplified to (- (+ (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n)))) (log (sqrt k))) 239.429 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n)))) (log (sqrt k))))) 239.430 * * * * [progress]: [ 291 / 417 ] simplifiying candidate # 239.430 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2)))) 239.430 * * [simplify]: iters left: 6 (19 enodes) 239.441 * * [simplify]: iters left: 5 (88 enodes) 239.470 * * [simplify]: iters left: 4 (163 enodes) 239.505 * * [simplify]: iters left: 3 (331 enodes) 239.661 * * [simplify]: Extracting #0: cost 1 inf + 0 239.661 * * [simplify]: Extracting #1: cost 42 inf + 0 239.662 * * [simplify]: Extracting #2: cost 211 inf + 1 239.663 * * [simplify]: Extracting #3: cost 292 inf + 4 239.665 * * [simplify]: Extracting #4: cost 257 inf + 8399 239.676 * * [simplify]: Extracting #5: cost 76 inf + 69844 239.693 * * [simplify]: Extracting #6: cost 8 inf + 91842 239.717 * * [simplify]: Extracting #7: cost 0 inf + 95926 239.748 * [simplify]: Simplified to (+ (- (/ (* (- 1 k) (log (* 2 PI))) 4) (log (sqrt k))) (+ (* (/ (- 1 k) 2) (log n)) (/ (* (- 1 k) (log (* 2 PI))) 4))) 239.748 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (/ (* (- 1 k) (log (* 2 PI))) 4) (log (sqrt k))) (+ (* (/ (- 1 k) 2) (log n)) (/ (* (- 1 k) (log (* 2 PI))) 4))))) 239.748 * * * * [progress]: [ 292 / 417 ] simplifiying candidate # 239.748 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2)))) 239.748 * * [simplify]: iters left: 6 (19 enodes) 239.754 * * [simplify]: iters left: 5 (88 enodes) 239.770 * * [simplify]: iters left: 4 (163 enodes) 239.831 * * [simplify]: iters left: 3 (331 enodes) 240.001 * * [simplify]: Extracting #0: cost 1 inf + 0 240.001 * * [simplify]: Extracting #1: cost 42 inf + 0 240.003 * * [simplify]: Extracting #2: cost 211 inf + 1 240.005 * * [simplify]: Extracting #3: cost 292 inf + 4 240.009 * * [simplify]: Extracting #4: cost 257 inf + 8399 240.031 * * [simplify]: Extracting #5: cost 76 inf + 69844 240.071 * * [simplify]: Extracting #6: cost 8 inf + 91842 240.092 * * [simplify]: Extracting #7: cost 0 inf + 95926 240.117 * [simplify]: Simplified to (+ (- (/ (* (- 1 k) (log (* 2 PI))) 4) (log (sqrt k))) (+ (* (/ (- 1 k) 2) (log n)) (/ (* (- 1 k) (log (* 2 PI))) 4))) 240.117 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (/ (* (- 1 k) (log (* 2 PI))) 4) (log (sqrt k))) (+ (* (/ (- 1 k) 2) (log n)) (/ (* (- 1 k) (log (* 2 PI))) 4))))) 240.118 * * * * [progress]: [ 293 / 417 ] simplifiying candidate # 240.118 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2))))) 240.118 * * [simplify]: iters left: 6 (19 enodes) 240.129 * * [simplify]: iters left: 5 (89 enodes) 240.159 * * [simplify]: iters left: 4 (165 enodes) 240.205 * * [simplify]: iters left: 3 (359 enodes) 240.367 * * [simplify]: Extracting #0: cost 1 inf + 0 240.367 * * [simplify]: Extracting #1: cost 53 inf + 0 240.368 * * [simplify]: Extracting #2: cost 265 inf + 1 240.369 * * [simplify]: Extracting #3: cost 357 inf + 4 240.371 * * [simplify]: Extracting #4: cost 330 inf + 4376 240.376 * * [simplify]: Extracting #5: cost 197 inf + 36363 240.398 * * [simplify]: Extracting #6: cost 24 inf + 116174 240.422 * * [simplify]: Extracting #7: cost 0 inf + 128711 240.450 * * [simplify]: Extracting #8: cost 0 inf + 128550 240.491 * [simplify]: Simplified to (- (+ (* (- 1/4 (/ k 4)) (+ (log (* 2 PI)) (log n))) (* (- 1/4 (/ k 4)) (+ (log (* 2 PI)) (log n)))) (log (sqrt k))) 240.491 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (- 1/4 (/ k 4)) (+ (log (* 2 PI)) (log n))) (* (- 1/4 (/ k 4)) (+ (log (* 2 PI)) (log n)))) (log (sqrt k))))) 240.491 * * * * [progress]: [ 294 / 417 ] simplifiying candidate # 240.492 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (log (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 240.492 * * [simplify]: iters left: 6 (19 enodes) 240.502 * * [simplify]: iters left: 5 (87 enodes) 240.518 * * [simplify]: iters left: 4 (170 enodes) 240.566 * * [simplify]: iters left: 3 (403 enodes) 240.778 * * [simplify]: Extracting #0: cost 1 inf + 0 240.778 * * [simplify]: Extracting #1: cost 51 inf + 0 240.778 * * [simplify]: Extracting #2: cost 245 inf + 1 240.779 * * [simplify]: Extracting #3: cost 358 inf + 4 240.782 * * [simplify]: Extracting #4: cost 374 inf + 7204 240.791 * * [simplify]: Extracting #5: cost 195 inf + 77153 240.820 * * [simplify]: Extracting #6: cost 20 inf + 168533 240.877 * * [simplify]: Extracting #7: cost 0 inf + 171035 240.932 * * [simplify]: Extracting #8: cost 0 inf + 169288 240.977 * [simplify]: Simplified to (+ (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (- (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (log (sqrt k)))) 240.977 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (- (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (log (sqrt k)))))) 240.977 * * * * [progress]: [ 295 / 417 ] simplifiying candidate # 240.978 * [simplify]: Simplifying (+ (log (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 240.978 * * [simplify]: iters left: 6 (22 enodes) 240.985 * * [simplify]: iters left: 5 (98 enodes) 241.006 * * [simplify]: iters left: 4 (196 enodes) 241.067 * * [simplify]: iters left: 3 (477 enodes) 241.248 * * [simplify]: Extracting #0: cost 1 inf + 0 241.248 * * [simplify]: Extracting #1: cost 51 inf + 0 241.250 * * [simplify]: Extracting #2: cost 274 inf + 1 241.252 * * [simplify]: Extracting #3: cost 363 inf + 188 241.258 * * [simplify]: Extracting #4: cost 292 inf + 17074 241.289 * * [simplify]: Extracting #5: cost 58 inf + 98543 241.334 * * [simplify]: Extracting #6: cost 3 inf + 127891 241.378 * * [simplify]: Extracting #7: cost 0 inf + 130013 241.402 * [simplify]: Simplified to (- (+ (* (log n) (/ (- 1 k) 2)) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (* (/ (- 1 k) 4) (log (* 2 PI))))) (log (sqrt k))) 241.403 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (log n) (/ (- 1 k) 2)) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (* (/ (- 1 k) 4) (log (* 2 PI))))) (log (sqrt k))))) 241.403 * * * * [progress]: [ 296 / 417 ] simplifiying candidate # 241.403 * [simplify]: Simplifying (+ (log (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 241.403 * * [simplify]: iters left: 6 (22 enodes) 241.416 * * [simplify]: iters left: 5 (98 enodes) 241.451 * * [simplify]: iters left: 4 (196 enodes) 241.507 * * [simplify]: iters left: 3 (477 enodes) 241.698 * * [simplify]: Extracting #0: cost 1 inf + 0 241.698 * * [simplify]: Extracting #1: cost 51 inf + 0 241.699 * * [simplify]: Extracting #2: cost 274 inf + 1 241.700 * * [simplify]: Extracting #3: cost 363 inf + 188 241.704 * * [simplify]: Extracting #4: cost 292 inf + 17074 241.720 * * [simplify]: Extracting #5: cost 58 inf + 98543 241.746 * * [simplify]: Extracting #6: cost 3 inf + 127891 241.781 * * [simplify]: Extracting #7: cost 0 inf + 130013 241.828 * [simplify]: Simplified to (- (+ (* (log n) (/ (- 1 k) 2)) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (* (/ (- 1 k) 4) (log (* 2 PI))))) (log (sqrt k))) 241.828 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (log n) (/ (- 1 k) 2)) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (* (/ (- 1 k) 4) (log (* 2 PI))))) (log (sqrt k))))) 241.828 * * * * [progress]: [ 297 / 417 ] simplifiying candidate # 241.828 * [simplify]: Simplifying (+ (log (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 241.829 * * [simplify]: iters left: 6 (22 enodes) 241.841 * * [simplify]: iters left: 5 (99 enodes) 241.868 * * [simplify]: iters left: 4 (195 enodes) 241.923 * * [simplify]: iters left: 3 (497 enodes) 242.130 * * [simplify]: Extracting #0: cost 1 inf + 0 242.130 * * [simplify]: Extracting #1: cost 64 inf + 0 242.131 * * [simplify]: Extracting #2: cost 333 inf + 1 242.137 * * [simplify]: Extracting #3: cost 437 inf + 74 242.143 * * [simplify]: Extracting #4: cost 377 inf + 15403 242.173 * * [simplify]: Extracting #5: cost 110 inf + 109140 242.225 * * [simplify]: Extracting #6: cost 7 inf + 160627 242.271 * * [simplify]: Extracting #7: cost 0 inf + 163979 242.301 * * [simplify]: Extracting #8: cost 0 inf + 163899 242.353 * [simplify]: Simplified to (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (- (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (log (sqrt k)))) 242.353 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (- (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (log (sqrt k)))))) 242.353 * * * * [progress]: [ 298 / 417 ] simplifiying candidate # 242.354 * [simplify]: Simplifying (+ (log (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 242.354 * * [simplify]: iters left: 6 (20 enodes) 242.366 * * [simplify]: iters left: 5 (94 enodes) 242.386 * * [simplify]: iters left: 4 (196 enodes) 242.435 * * [simplify]: iters left: 3 (472 enodes) 242.645 * * [simplify]: Extracting #0: cost 1 inf + 0 242.646 * * [simplify]: Extracting #1: cost 56 inf + 0 242.647 * * [simplify]: Extracting #2: cost 279 inf + 1 242.648 * * [simplify]: Extracting #3: cost 387 inf + 76 242.651 * * [simplify]: Extracting #4: cost 314 inf + 15066 242.677 * * [simplify]: Extracting #5: cost 83 inf + 93966 242.715 * * [simplify]: Extracting #6: cost 11 inf + 131970 242.745 * * [simplify]: Extracting #7: cost 0 inf + 139553 242.778 * [simplify]: Simplified to (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 2) (log n)) (log (sqrt k))))) 242.778 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 2) (log n)) (log (sqrt k))))))) 242.778 * * * * [progress]: [ 299 / 417 ] simplifiying candidate # 242.778 * [simplify]: Simplifying (+ (log (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 242.779 * * [simplify]: iters left: 6 (20 enodes) 242.785 * * [simplify]: iters left: 5 (94 enodes) 242.823 * * [simplify]: iters left: 4 (196 enodes) 242.875 * * [simplify]: iters left: 3 (472 enodes) 243.061 * * [simplify]: Extracting #0: cost 1 inf + 0 243.061 * * [simplify]: Extracting #1: cost 56 inf + 0 243.062 * * [simplify]: Extracting #2: cost 279 inf + 1 243.065 * * [simplify]: Extracting #3: cost 387 inf + 76 243.071 * * [simplify]: Extracting #4: cost 314 inf + 15066 243.091 * * [simplify]: Extracting #5: cost 83 inf + 93966 243.115 * * [simplify]: Extracting #6: cost 11 inf + 131970 243.140 * * [simplify]: Extracting #7: cost 0 inf + 139553 243.562 * [simplify]: Simplified to (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 2) (log n)) (log (sqrt k))))) 243.562 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 2) (log n)) (log (sqrt k))))))) 243.562 * * * * [progress]: [ 300 / 417 ] simplifiying candidate # 243.562 * [simplify]: Simplifying (+ (log (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 243.563 * * [simplify]: iters left: 6 (20 enodes) 243.574 * * [simplify]: iters left: 5 (95 enodes) 243.608 * * [simplify]: iters left: 4 (198 enodes) 243.679 * * [simplify]: iters left: 3 (497 enodes) 243.864 * * [simplify]: Extracting #0: cost 1 inf + 0 243.864 * * [simplify]: Extracting #1: cost 64 inf + 0 243.865 * * [simplify]: Extracting #2: cost 346 inf + 1 243.867 * * [simplify]: Extracting #3: cost 463 inf + 186 243.870 * * [simplify]: Extracting #4: cost 394 inf + 17925 243.886 * * [simplify]: Extracting #5: cost 130 inf + 106702 243.920 * * [simplify]: Extracting #6: cost 11 inf + 167159 243.961 * * [simplify]: Extracting #7: cost 0 inf + 174553 243.994 * [simplify]: Simplified to (- (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) (log (sqrt k))) 243.994 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) (log (sqrt k))))) 243.994 * * * * [progress]: [ 301 / 417 ] simplifiying candidate # 243.994 * [simplify]: Simplifying (+ (log (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 243.994 * * [simplify]: iters left: 6 (20 enodes) 244.000 * * [simplify]: iters left: 5 (94 enodes) 244.026 * * [simplify]: iters left: 4 (196 enodes) 244.076 * * [simplify]: iters left: 3 (472 enodes) 244.288 * * [simplify]: Extracting #0: cost 1 inf + 0 244.288 * * [simplify]: Extracting #1: cost 56 inf + 0 244.289 * * [simplify]: Extracting #2: cost 279 inf + 1 244.291 * * [simplify]: Extracting #3: cost 387 inf + 76 244.294 * * [simplify]: Extracting #4: cost 314 inf + 15066 244.318 * * [simplify]: Extracting #5: cost 83 inf + 93966 244.370 * * [simplify]: Extracting #6: cost 11 inf + 131970 244.421 * * [simplify]: Extracting #7: cost 0 inf + 139553 244.472 * [simplify]: Simplified to (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 2) (log n)) (log (sqrt k))))) 244.472 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 2) (log n)) (log (sqrt k))))))) 244.473 * * * * [progress]: [ 302 / 417 ] simplifiying candidate # 244.473 * [simplify]: Simplifying (+ (log (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 244.473 * * [simplify]: iters left: 6 (20 enodes) 244.486 * * [simplify]: iters left: 5 (94 enodes) 244.516 * * [simplify]: iters left: 4 (196 enodes) 244.574 * * [simplify]: iters left: 3 (472 enodes) 244.749 * * [simplify]: Extracting #0: cost 1 inf + 0 244.750 * * [simplify]: Extracting #1: cost 56 inf + 0 244.751 * * [simplify]: Extracting #2: cost 279 inf + 1 244.752 * * [simplify]: Extracting #3: cost 387 inf + 76 244.755 * * [simplify]: Extracting #4: cost 314 inf + 15066 244.783 * * [simplify]: Extracting #5: cost 83 inf + 93966 244.811 * * [simplify]: Extracting #6: cost 11 inf + 131970 244.845 * * [simplify]: Extracting #7: cost 0 inf + 139553 244.886 * [simplify]: Simplified to (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 2) (log n)) (log (sqrt k))))) 244.886 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 2) (log n)) (log (sqrt k))))))) 244.887 * * * * [progress]: [ 303 / 417 ] simplifiying candidate # 244.887 * [simplify]: Simplifying (+ (log (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 244.887 * * [simplify]: iters left: 6 (20 enodes) 244.899 * * [simplify]: iters left: 5 (95 enodes) 244.933 * * [simplify]: iters left: 4 (198 enodes) 244.986 * * [simplify]: iters left: 3 (497 enodes) 245.235 * * [simplify]: Extracting #0: cost 1 inf + 0 245.235 * * [simplify]: Extracting #1: cost 64 inf + 0 245.236 * * [simplify]: Extracting #2: cost 346 inf + 1 245.238 * * [simplify]: Extracting #3: cost 463 inf + 186 245.241 * * [simplify]: Extracting #4: cost 394 inf + 17925 245.257 * * [simplify]: Extracting #5: cost 130 inf + 106702 245.311 * * [simplify]: Extracting #6: cost 11 inf + 167159 245.379 * * [simplify]: Extracting #7: cost 0 inf + 174553 245.443 * [simplify]: Simplified to (- (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) (log (sqrt k))) 245.443 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) (log (sqrt k))))) 245.443 * * * * [progress]: [ 304 / 417 ] simplifiying candidate # 245.443 * [simplify]: Simplifying (+ (log (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2)))) 245.444 * * [simplify]: iters left: 6 (19 enodes) 245.454 * * [simplify]: iters left: 5 (86 enodes) 245.483 * * [simplify]: iters left: 4 (172 enodes) 245.519 * * [simplify]: iters left: 3 (383 enodes) 245.725 * * [simplify]: Extracting #0: cost 1 inf + 0 245.726 * * [simplify]: Extracting #1: cost 40 inf + 0 245.727 * * [simplify]: Extracting #2: cost 225 inf + 1 245.729 * * [simplify]: Extracting #3: cost 322 inf + 76 245.732 * * [simplify]: Extracting #4: cost 304 inf + 5901 245.749 * * [simplify]: Extracting #5: cost 123 inf + 52371 245.785 * * [simplify]: Extracting #6: cost 24 inf + 101121 245.828 * * [simplify]: Extracting #7: cost 0 inf + 111850 245.857 * * [simplify]: Extracting #8: cost 0 inf + 110835 245.877 * [simplify]: Simplified to (+ (+ (* (log (* 2 PI)) (/ (- 1 k) 4)) (- (- (log (sqrt k)) (* (log n) (/ (- 1 k) 2))))) (* (log (* 2 PI)) (/ (- 1 k) 4))) 245.877 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (* (log (* 2 PI)) (/ (- 1 k) 4)) (- (- (log (sqrt k)) (* (log n) (/ (- 1 k) 2))))) (* (log (* 2 PI)) (/ (- 1 k) 4))))) 245.878 * * * * [progress]: [ 305 / 417 ] simplifiying candidate # 245.878 * [simplify]: Simplifying (+ (log (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2)))) 245.878 * * [simplify]: iters left: 6 (19 enodes) 245.889 * * [simplify]: iters left: 5 (86 enodes) 245.914 * * [simplify]: iters left: 4 (172 enodes) 245.957 * * [simplify]: iters left: 3 (383 enodes) 246.109 * * [simplify]: Extracting #0: cost 1 inf + 0 246.109 * * [simplify]: Extracting #1: cost 40 inf + 0 246.110 * * [simplify]: Extracting #2: cost 225 inf + 1 246.111 * * [simplify]: Extracting #3: cost 322 inf + 76 246.112 * * [simplify]: Extracting #4: cost 304 inf + 5901 246.121 * * [simplify]: Extracting #5: cost 123 inf + 52371 246.154 * * [simplify]: Extracting #6: cost 24 inf + 101121 246.186 * * [simplify]: Extracting #7: cost 0 inf + 111850 246.210 * * [simplify]: Extracting #8: cost 0 inf + 110835 246.232 * [simplify]: Simplified to (+ (+ (* (log (* 2 PI)) (/ (- 1 k) 4)) (- (- (log (sqrt k)) (* (log n) (/ (- 1 k) 2))))) (* (log (* 2 PI)) (/ (- 1 k) 4))) 246.232 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (* (log (* 2 PI)) (/ (- 1 k) 4)) (- (- (log (sqrt k)) (* (log n) (/ (- 1 k) 2))))) (* (log (* 2 PI)) (/ (- 1 k) 4))))) 246.232 * * * * [progress]: [ 306 / 417 ] simplifiying candidate # 246.233 * [simplify]: Simplifying (+ (log (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2))))) 246.233 * * [simplify]: iters left: 6 (19 enodes) 246.244 * * [simplify]: iters left: 5 (87 enodes) 246.264 * * [simplify]: iters left: 4 (174 enodes) 246.313 * * [simplify]: iters left: 3 (412 enodes) 246.551 * * [simplify]: Extracting #0: cost 1 inf + 0 246.551 * * [simplify]: Extracting #1: cost 49 inf + 0 246.552 * * [simplify]: Extracting #2: cost 274 inf + 1 246.553 * * [simplify]: Extracting #3: cost 386 inf + 4 246.557 * * [simplify]: Extracting #4: cost 293 inf + 28024 246.573 * * [simplify]: Extracting #5: cost 74 inf + 105628 246.618 * * [simplify]: Extracting #6: cost 4 inf + 137394 246.670 * * [simplify]: Extracting #7: cost 0 inf + 135749 246.703 * * [simplify]: Extracting #8: cost 0 inf + 135298 246.726 * * [simplify]: Extracting #9: cost 0 inf + 135175 246.762 * [simplify]: Simplified to (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (- (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (log (sqrt k)))) 246.762 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (- (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (log (sqrt k)))))) 246.763 * * * * [progress]: [ 307 / 417 ] simplifiying candidate # 246.763 * [simplify]: Simplifying (+ (log (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (log (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 246.763 * * [simplify]: iters left: 6 (18 enodes) 246.774 * * [simplify]: iters left: 5 (81 enodes) 246.802 * * [simplify]: iters left: 4 (167 enodes) 246.869 * * [simplify]: iters left: 3 (414 enodes) 247.151 * * [simplify]: Extracting #0: cost 1 inf + 0 247.151 * * [simplify]: Extracting #1: cost 39 inf + 0 247.152 * * [simplify]: Extracting #2: cost 197 inf + 1 247.154 * * [simplify]: Extracting #3: cost 310 inf + 4 247.158 * * [simplify]: Extracting #4: cost 345 inf + 5578 247.171 * * [simplify]: Extracting #5: cost 228 inf + 44199 247.214 * * [simplify]: Extracting #6: cost 33 inf + 150772 247.243 * * [simplify]: Extracting #7: cost 0 inf + 160908 247.286 * * [simplify]: Extracting #8: cost 0 inf + 160035 247.314 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) 247.314 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))))) 247.314 * * * * [progress]: [ 308 / 417 ] simplifiying candidate # 247.314 * * * * [progress]: [ 309 / 417 ] simplifiying candidate # 247.314 * * * * [progress]: [ 310 / 417 ] simplifiying candidate # 247.315 * [simplify]: Simplifying (* (* (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (* (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (* (pow n (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))))) 247.315 * * [simplify]: iters left: 6 (24 enodes) 247.329 * * [simplify]: iters left: 5 (110 enodes) 247.360 * * [simplify]: iters left: 4 (316 enodes) 247.629 * * [simplify]: Extracting #0: cost 1 inf + 0 247.630 * * [simplify]: Extracting #1: cost 97 inf + 0 247.633 * * [simplify]: Extracting #2: cost 436 inf + 330 247.637 * * [simplify]: Extracting #3: cost 456 inf + 1847 247.654 * * [simplify]: Extracting #4: cost 306 inf + 84752 247.710 * * [simplify]: Extracting #5: cost 31 inf + 286497 247.810 * * [simplify]: Extracting #6: cost 0 inf + 304761 247.886 * * [simplify]: Extracting #7: cost 0 inf + 303351 247.977 * [simplify]: Simplified to (* (* (* (pow n (/ (- 1 k) 2)) (* (pow n (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2)))) (/ (pow (* PI 2) (/ (/ (- 1 k) 2) 1)) (* k (sqrt k)))) (* (pow (* PI 2) (/ (/ (- 1 k) 2) 1)) (pow (* PI 2) (/ (/ (- 1 k) 2) 1)))) 247.977 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (* (* (pow n (/ (- 1 k) 2)) (* (pow n (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2)))) (/ (pow (* PI 2) (/ (/ (- 1 k) 2) 1)) (* k (sqrt k)))) (* (pow (* PI 2) (/ (/ (- 1 k) 2) 1)) (pow (* PI 2) (/ (/ (- 1 k) 2) 1)))))) 247.977 * * * * [progress]: [ 311 / 417 ] simplifiying candidate # 247.978 * [simplify]: Simplifying (* (* (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (* (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 247.978 * * [simplify]: iters left: 6 (24 enodes) 247.985 * * [simplify]: iters left: 5 (112 enodes) 248.017 * * [simplify]: iters left: 4 (340 enodes) 248.419 * * [simplify]: Extracting #0: cost 1 inf + 0 248.419 * * [simplify]: Extracting #1: cost 118 inf + 0 248.422 * * [simplify]: Extracting #2: cost 553 inf + 1 248.424 * * [simplify]: Extracting #3: cost 575 inf + 1474 248.427 * * [simplify]: Extracting #4: cost 556 inf + 3460 248.454 * * [simplify]: Extracting #5: cost 375 inf + 117629 248.560 * * [simplify]: Extracting #6: cost 35 inf + 410347 248.696 * * [simplify]: Extracting #7: cost 0 inf + 429512 248.803 * * [simplify]: Extracting #8: cost 0 inf + 422711 248.946 * * [simplify]: Extracting #9: cost 0 inf + 422471 249.041 * [simplify]: Simplified to (* (* (* (pow n (- 1/4 (/ k 4))) (pow (* PI 2) (- 1/4 (/ k 4)))) (* (pow n (- 1/4 (/ k 4))) (pow (* PI 2) (- 1/4 (/ k 4))))) (* (* (* (pow n (- 1/4 (/ k 4))) (pow (* PI 2) (- 1/4 (/ k 4)))) (pow n (- 1/4 (/ k 4)))) (* (* (* (pow n (- 1/4 (/ k 4))) (pow (* PI 2) (- 1/4 (/ k 4)))) (* (pow n (- 1/4 (/ k 4))) (pow (* PI 2) (- 1/4 (/ k 4))))) (/ (pow (* PI 2) (- 1/4 (/ k 4))) (* k (sqrt k)))))) 249.041 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (* (* (pow n (- 1/4 (/ k 4))) (pow (* PI 2) (- 1/4 (/ k 4)))) (* (pow n (- 1/4 (/ k 4))) (pow (* PI 2) (- 1/4 (/ k 4))))) (* (* (* (pow n (- 1/4 (/ k 4))) (pow (* PI 2) (- 1/4 (/ k 4)))) (pow n (- 1/4 (/ k 4)))) (* (* (* (pow n (- 1/4 (/ k 4))) (pow (* PI 2) (- 1/4 (/ k 4)))) (* (pow n (- 1/4 (/ k 4))) (pow (* PI 2) (- 1/4 (/ k 4))))) (/ (pow (* PI 2) (- 1/4 (/ k 4))) (* k (sqrt k)))))))) 249.042 * * * * [progress]: [ 312 / 417 ] simplifiying candidate # 249.042 * [simplify]: Simplifying (* (* (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))) (* (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (* (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (* (pow n (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))))) 249.043 * * [simplify]: iters left: 6 (22 enodes) 249.053 * * [simplify]: iters left: 5 (111 enodes) 249.079 * * [simplify]: iters left: 4 (306 enodes) 249.325 * * [simplify]: Extracting #0: cost 1 inf + 0 249.325 * * [simplify]: Extracting #1: cost 67 inf + 0 249.326 * * [simplify]: Extracting #2: cost 363 inf + 0 249.328 * * [simplify]: Extracting #3: cost 406 inf + 949 249.337 * * [simplify]: Extracting #4: cost 307 inf + 60767 249.374 * * [simplify]: Extracting #5: cost 111 inf + 202563 249.454 * * [simplify]: Extracting #6: cost 11 inf + 284676 249.525 * * [simplify]: Extracting #7: cost 0 inf + 290830 249.589 * * [simplify]: Extracting #8: cost 0 inf + 290247 249.687 * * [simplify]: Extracting #9: cost 0 inf + 290170 249.779 * [simplify]: Simplified to (/ (* (* (* (* (pow n (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))) (/ (* (* (pow (* PI 2) (/ (/ (- 1 k) 2) 2)) (pow (* PI 2) (/ (/ (- 1 k) 2) 2))) (pow (* PI 2) (/ (/ (- 1 k) 2) 2))) (* (sqrt k) (sqrt k)))) (* (* (pow (* PI 2) (/ (/ (- 1 k) 2) 2)) (pow (* PI 2) (/ (/ (- 1 k) 2) 2))) (pow (* PI 2) (/ (/ (- 1 k) 2) 2)))) (sqrt k)) 249.780 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (/ (* (* (* (* (pow n (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))) (/ (* (* (pow (* PI 2) (/ (/ (- 1 k) 2) 2)) (pow (* PI 2) (/ (/ (- 1 k) 2) 2))) (pow (* PI 2) (/ (/ (- 1 k) 2) 2))) (* (sqrt k) (sqrt k)))) (* (* (pow (* PI 2) (/ (/ (- 1 k) 2) 2)) (pow (* PI 2) (/ (/ (- 1 k) 2) 2))) (pow (* PI 2) (/ (/ (- 1 k) 2) 2)))) (sqrt k)))) 249.780 * * * * [progress]: [ 313 / 417 ] simplifiying candidate # 249.780 * [simplify]: Simplifying (* (* (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))) (* (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (* (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 249.781 * * [simplify]: iters left: 6 (22 enodes) 249.797 * * [simplify]: iters left: 5 (113 enodes) 249.845 * * [simplify]: iters left: 4 (330 enodes) 250.114 * * [simplify]: Extracting #0: cost 1 inf + 0 250.114 * * [simplify]: Extracting #1: cost 77 inf + 0 250.115 * * [simplify]: Extracting #2: cost 437 inf + 0 250.118 * * [simplify]: Extracting #3: cost 504 inf + 3 250.121 * * [simplify]: Extracting #4: cost 451 inf + 12901 250.145 * * [simplify]: Extracting #5: cost 211 inf + 208299 250.254 * * [simplify]: Extracting #6: cost 8 inf + 404306 250.353 * * [simplify]: Extracting #7: cost 0 inf + 398521 250.446 * * [simplify]: Extracting #8: cost 0 inf + 389686 250.542 * * [simplify]: Extracting #9: cost 0 inf + 386846 250.672 * * [simplify]: Extracting #10: cost 0 inf + 386675 250.755 * [simplify]: Simplified to (* (* (/ (* 1 (pow (* PI 2) (/ (/ (- 1 k) 2) 2))) (sqrt k)) (* (/ (* 1 (pow (* PI 2) (/ (/ (- 1 k) 2) 2))) (sqrt k)) (/ (* 1 (pow (* PI 2) (/ (/ (- 1 k) 2) 2))) (sqrt k)))) (* (* (pow (* PI 2) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))) (* (* (pow (* PI 2) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))) (* (pow (* PI 2) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2)))))) 250.755 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (* (/ (* 1 (pow (* PI 2) (/ (/ (- 1 k) 2) 2))) (sqrt k)) (* (/ (* 1 (pow (* PI 2) (/ (/ (- 1 k) 2) 2))) (sqrt k)) (/ (* 1 (pow (* PI 2) (/ (/ (- 1 k) 2) 2))) (sqrt k)))) (* (* (pow (* PI 2) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))) (* (* (pow (* PI 2) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))) (* (pow (* PI 2) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2)))))))) 250.755 * * * * [progress]: [ 314 / 417 ] simplifiying candidate # 250.756 * [simplify]: Simplifying (* (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (* (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (* (pow n (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))))) 250.756 * * [simplify]: iters left: 6 (22 enodes) 250.764 * * [simplify]: iters left: 5 (111 enodes) 250.795 * * [simplify]: iters left: 4 (342 enodes) 251.068 * * [simplify]: Extracting #0: cost 1 inf + 0 251.069 * * [simplify]: Extracting #1: cost 80 inf + 0 251.071 * * [simplify]: Extracting #2: cost 428 inf + 1 251.074 * * [simplify]: Extracting #3: cost 470 inf + 1404 251.092 * * [simplify]: Extracting #4: cost 333 inf + 85472 251.148 * * [simplify]: Extracting #5: cost 53 inf + 308552 251.258 * * [simplify]: Extracting #6: cost 4 inf + 337497 251.368 * * [simplify]: Extracting #7: cost 0 inf + 338380 251.479 * * [simplify]: Extracting #8: cost 0 inf + 338104 251.590 * [simplify]: Simplified to (* (* (* (* (* (pow n (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))) (* (/ (pow (* 2 PI) (/ (/ (- 1 k) 2) 1)) (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 1)))) (/ (pow (* 2 PI) (/ (/ (- 1 k) 2) 1)) (sqrt k))) (/ 1 (sqrt k))) 251.590 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (* (* (* (* (pow n (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))) (* (/ (pow (* 2 PI) (/ (/ (- 1 k) 2) 1)) (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 1)))) (/ (pow (* 2 PI) (/ (/ (- 1 k) 2) 1)) (sqrt k))) (/ 1 (sqrt k))))) 251.590 * * * * [progress]: [ 315 / 417 ] simplifiying candidate # 251.591 * [simplify]: Simplifying (* (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (* (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 251.591 * * [simplify]: iters left: 6 (20 enodes) 251.603 * * [simplify]: iters left: 5 (105 enodes) 251.633 * * [simplify]: iters left: 4 (340 enodes) 251.989 * * [simplify]: Extracting #0: cost 1 inf + 0 251.990 * * [simplify]: Extracting #1: cost 77 inf + 0 251.992 * * [simplify]: Extracting #2: cost 457 inf + 1 251.994 * * [simplify]: Extracting #3: cost 530 inf + 860 252.005 * * [simplify]: Extracting #4: cost 405 inf + 73606 252.074 * * [simplify]: Extracting #5: cost 149 inf + 272613 252.168 * * [simplify]: Extracting #6: cost 2 inf + 407109 252.294 * * [simplify]: Extracting #7: cost 0 inf + 403991 252.389 * * [simplify]: Extracting #8: cost 0 inf + 394470 252.513 * * [simplify]: Extracting #9: cost 0 inf + 393339 252.600 * * [simplify]: Extracting #10: cost 0 inf + 393300 252.711 * [simplify]: Simplified to (* (/ (* (* (pow n (/ (- 1 k) 4)) (pow (* 2 PI) (/ (- 1 k) 4))) (* (pow n (/ (- 1 k) 4)) (pow (* 2 PI) (/ (- 1 k) 4)))) (sqrt k)) (* (/ (* (* (pow n (/ (- 1 k) 4)) (pow (* 2 PI) (/ (- 1 k) 4))) (* (pow n (/ (- 1 k) 4)) (pow (* 2 PI) (/ (- 1 k) 4)))) (sqrt k)) (/ (* (* (pow n (/ (- 1 k) 4)) (pow (* 2 PI) (/ (- 1 k) 4))) (* (pow n (/ (- 1 k) 4)) (pow (* 2 PI) (/ (- 1 k) 4)))) (sqrt k)))) 252.711 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (/ (* (* (pow n (/ (- 1 k) 4)) (pow (* 2 PI) (/ (- 1 k) 4))) (* (pow n (/ (- 1 k) 4)) (pow (* 2 PI) (/ (- 1 k) 4)))) (sqrt k)) (* (/ (* (* (pow n (/ (- 1 k) 4)) (pow (* 2 PI) (/ (- 1 k) 4))) (* (pow n (/ (- 1 k) 4)) (pow (* 2 PI) (/ (- 1 k) 4)))) (sqrt k)) (/ (* (* (pow n (/ (- 1 k) 4)) (pow (* 2 PI) (/ (- 1 k) 4))) (* (pow n (/ (- 1 k) 4)) (pow (* 2 PI) (/ (- 1 k) 4)))) (sqrt k)))))) 252.712 * * * * [progress]: [ 316 / 417 ] simplifiying candidate # 252.712 * * * * [progress]: [ 317 / 417 ] simplifiying candidate # 252.712 * * * * [progress]: [ 318 / 417 ] simplifiying candidate # 252.712 * * * * [progress]: [ 319 / 417 ] simplifiying candidate # 252.712 * [simplify]: Simplifying (* (* 1 (pow (* 2 PI) (/ (/ 1 2) 2))) (* (pow (* 2 PI) (/ (/ 1 2) 2)) (pow n (/ 1 2)))) 252.713 * * [simplify]: iters left: 6 (12 enodes) 252.722 * * [simplify]: iters left: 5 (54 enodes) 252.750 * * [simplify]: iters left: 4 (129 enodes) 252.826 * * [simplify]: iters left: 3 (344 enodes) 253.096 * * [simplify]: Extracting #0: cost 1 inf + 0 253.096 * * [simplify]: Extracting #1: cost 39 inf + 0 253.097 * * [simplify]: Extracting #2: cost 185 inf + 1 253.099 * * [simplify]: Extracting #3: cost 188 inf + 261 253.103 * * [simplify]: Extracting #4: cost 142 inf + 18933 253.119 * * [simplify]: Extracting #5: cost 23 inf + 93116 253.140 * * [simplify]: Extracting #6: cost 0 inf + 109817 253.160 * * [simplify]: Extracting #7: cost 0 inf + 109778 253.177 * [simplify]: Simplified to (* (pow (* PI 2) 1/4) (* (sqrt n) (pow (* PI 2) 1/4))) 253.177 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (pow (* PI 2) 1/4) (* (sqrt n) (pow (* PI 2) 1/4))) (* (* (sqrt k) (pow (* 2 PI) (/ (/ k 2) 2))) (* (pow (* 2 PI) (/ (/ k 2) 2)) (pow n (/ k 2)))))) 253.177 * [simplify]: Simplifying (* (* (sqrt k) (pow (* 2 PI) (/ (/ k 2) 2))) (* (pow (* 2 PI) (/ (/ k 2) 2)) (pow n (/ k 2)))) 253.177 * * [simplify]: iters left: 6 (13 enodes) 253.181 * * [simplify]: iters left: 5 (55 enodes) 253.193 * * [simplify]: iters left: 4 (114 enodes) 253.229 * * [simplify]: iters left: 3 (369 enodes) 253.616 * * [simplify]: Extracting #0: cost 1 inf + 0 253.616 * * [simplify]: Extracting #1: cost 79 inf + 0 253.618 * * [simplify]: Extracting #2: cost 350 inf + 0 253.622 * * [simplify]: Extracting #3: cost 374 inf + 85 253.629 * * [simplify]: Extracting #4: cost 316 inf + 21955 253.658 * * [simplify]: Extracting #5: cost 164 inf + 131194 253.714 * * [simplify]: Extracting #6: cost 21 inf + 249352 253.753 * * [simplify]: Extracting #7: cost 0 inf + 253703 253.813 * * [simplify]: Extracting #8: cost 0 inf + 249637 253.848 * * [simplify]: Extracting #9: cost 0 inf + 249347 253.904 * [simplify]: Simplified to (* (sqrt k) (* (* (pow (* 2 PI) (/ k 4)) (pow n (/ k 4))) (* (pow (* 2 PI) (/ k 4)) (pow n (/ k 4))))) 253.904 * [simplify]: Simplified (2 2) to (λ (k n) (/ (* (pow (* PI 2) 1/4) (* (sqrt n) (pow (* PI 2) 1/4))) (* (sqrt k) (* (* (pow (* 2 PI) (/ k 4)) (pow n (/ k 4))) (* (pow (* 2 PI) (/ k 4)) (pow n (/ k 4))))))) 253.904 * * * * [progress]: [ 320 / 417 ] simplifiying candidate # 253.904 * [simplify]: Simplifying (* (* 1 (pow (* 2 PI) (/ (/ 1 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ 1 2)))) 253.904 * * [simplify]: iters left: 6 (17 enodes) 253.910 * * [simplify]: iters left: 5 (77 enodes) 253.928 * * [simplify]: iters left: 4 (168 enodes) 253.991 * * [simplify]: iters left: 3 (489 enodes) 254.394 * * [simplify]: Extracting #0: cost 1 inf + 0 254.394 * * [simplify]: Extracting #1: cost 57 inf + 0 254.396 * * [simplify]: Extracting #2: cost 339 inf + 1 254.400 * * [simplify]: Extracting #3: cost 390 inf + 89 254.404 * * [simplify]: Extracting #4: cost 378 inf + 6955 254.419 * * [simplify]: Extracting #5: cost 273 inf + 54465 254.440 * * [simplify]: Extracting #6: cost 91 inf + 181658 254.484 * * [simplify]: Extracting #7: cost 3 inf + 250298 254.541 * * [simplify]: Extracting #8: cost 0 inf + 251585 254.598 * [simplify]: Simplified to (* (* (pow (* PI 2) (/ (- 1 k) 4)) (sqrt n)) (pow (* PI 2) 1/4)) 254.599 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (* (pow (* PI 2) (/ (- 1 k) 4)) (sqrt n)) (pow (* PI 2) 1/4)) (* (* (sqrt k) (pow (* 2 PI) (/ (/ k 2) 2))) (pow n (/ k 2))))) 254.599 * [simplify]: Simplifying (* (* (sqrt k) (pow (* 2 PI) (/ (/ k 2) 2))) (pow n (/ k 2))) 254.599 * * [simplify]: iters left: 6 (12 enodes) 254.606 * * [simplify]: iters left: 5 (49 enodes) 254.621 * * [simplify]: iters left: 4 (89 enodes) 254.656 * * [simplify]: iters left: 3 (220 enodes) 254.797 * * [simplify]: Extracting #0: cost 1 inf + 0 254.797 * * [simplify]: Extracting #1: cost 49 inf + 0 254.798 * * [simplify]: Extracting #2: cost 179 inf + 0 254.800 * * [simplify]: Extracting #3: cost 204 inf + 85 254.806 * * [simplify]: Extracting #4: cost 176 inf + 10025 254.818 * * [simplify]: Extracting #5: cost 90 inf + 50900 254.839 * * [simplify]: Extracting #6: cost 7 inf + 109227 254.863 * * [simplify]: Extracting #7: cost 0 inf + 111250 254.887 * * [simplify]: Extracting #8: cost 0 inf + 111170 254.901 * [simplify]: Simplified to (* (* (sqrt k) (pow (* 2 PI) (/ (/ k 2) 2))) (pow n (/ k 2))) 254.901 * [simplify]: Simplified (2 2) to (λ (k n) (/ (* (* (pow (* PI 2) (/ (- 1 k) 4)) (sqrt n)) (pow (* PI 2) 1/4)) (* (* (sqrt k) (pow (* 2 PI) (/ (/ k 2) 2))) (pow n (/ k 2))))) 254.902 * * * * [progress]: [ 321 / 417 ] simplifiying candidate # 254.902 * [simplify]: Simplifying (* (* 1 (pow (* 2 PI) (/ (/ 1 2) 2))) (* (pow (* 2 PI) (/ (/ 1 2) 2)) (pow n (/ (- 1 k) 2)))) 254.902 * * [simplify]: iters left: 6 (15 enodes) 254.908 * * [simplify]: iters left: 5 (68 enodes) 254.922 * * [simplify]: iters left: 4 (144 enodes) 254.990 * * [simplify]: iters left: 3 (362 enodes) 255.277 * * [simplify]: Extracting #0: cost 1 inf + 0 255.277 * * [simplify]: Extracting #1: cost 40 inf + 0 255.278 * * [simplify]: Extracting #2: cost 198 inf + 1 255.280 * * [simplify]: Extracting #3: cost 223 inf + 8 255.283 * * [simplify]: Extracting #4: cost 217 inf + 3924 255.287 * * [simplify]: Extracting #5: cost 192 inf + 14016 255.294 * * [simplify]: Extracting #6: cost 158 inf + 25718 255.315 * * [simplify]: Extracting #7: cost 52 inf + 95289 255.346 * * [simplify]: Extracting #8: cost 0 inf + 134790 255.370 * * [simplify]: Extracting #9: cost 0 inf + 134251 255.388 * [simplify]: Simplified to (* (pow n (/ (- 1 k) 2)) (sqrt (* PI 2))) 255.388 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (sqrt (* PI 2))) (* (* (sqrt k) (pow (* 2 PI) (/ (/ k 2) 2))) (pow (* 2 PI) (/ (/ k 2) 2))))) 255.388 * [simplify]: Simplifying (* (* (sqrt k) (pow (* 2 PI) (/ (/ k 2) 2))) (pow (* 2 PI) (/ (/ k 2) 2))) 255.389 * * [simplify]: iters left: 6 (10 enodes) 255.392 * * [simplify]: iters left: 5 (41 enodes) 255.405 * * [simplify]: iters left: 4 (70 enodes) 255.432 * * [simplify]: iters left: 3 (159 enodes) 255.485 * * [simplify]: iters left: 2 (431 enodes) 255.716 * * [simplify]: Extracting #0: cost 1 inf + 0 255.716 * * [simplify]: Extracting #1: cost 47 inf + 0 255.722 * * [simplify]: Extracting #2: cost 255 inf + 0 255.725 * * [simplify]: Extracting #3: cost 298 inf + 210 255.730 * * [simplify]: Extracting #4: cost 248 inf + 14772 255.753 * * [simplify]: Extracting #5: cost 109 inf + 84198 255.803 * * [simplify]: Extracting #6: cost 2 inf + 162886 255.837 * * [simplify]: Extracting #7: cost 0 inf + 158792 255.867 * * [simplify]: Extracting #8: cost 0 inf + 158501 255.900 * [simplify]: Simplified to (* (sqrt k) (pow (* 2 PI) (* 1/2 k))) 255.900 * [simplify]: Simplified (2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (sqrt (* PI 2))) (* (sqrt k) (pow (* 2 PI) (* 1/2 k))))) 255.900 * * * * [progress]: [ 322 / 417 ] simplifiying candidate # 255.900 * [simplify]: Simplifying (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ 1 2) 2))) (* (pow (* 2 PI) (/ (/ 1 2) 2)) (pow n (/ 1 2)))) 255.900 * * [simplify]: iters left: 6 (15 enodes) 255.906 * * [simplify]: iters left: 5 (67 enodes) 255.923 * * [simplify]: iters left: 4 (153 enodes) 255.980 * * [simplify]: Extracting #0: cost 1 inf + 0 255.980 * * [simplify]: Extracting #1: cost 44 inf + 0 255.980 * * [simplify]: Extracting #2: cost 126 inf + 1 255.981 * * [simplify]: Extracting #3: cost 116 inf + 1125 255.981 * * [simplify]: Extracting #4: cost 101 inf + 4061 255.984 * * [simplify]: Extracting #5: cost 53 inf + 24288 255.988 * * [simplify]: Extracting #6: cost 5 inf + 50435 255.994 * * [simplify]: Extracting #7: cost 0 inf + 53524 256.000 * [simplify]: Simplified to (* (pow (* 2 PI) 1/4) (* (sqrt n) (/ (pow (* 2 PI) 1/4) (sqrt k)))) 256.000 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (pow (* 2 PI) 1/4) (* (sqrt n) (/ (pow (* 2 PI) 1/4) (sqrt k)))) (* (pow (* 2 PI) (/ (/ k 2) 2)) (* (pow (* 2 PI) (/ (/ k 2) 2)) (pow n (/ k 2)))))) 256.000 * [simplify]: Simplifying (* (pow (* 2 PI) (/ (/ k 2) 2)) (* (pow (* 2 PI) (/ (/ k 2) 2)) (pow n (/ k 2)))) 256.000 * * [simplify]: iters left: 6 (11 enodes) 256.004 * * [simplify]: iters left: 5 (46 enodes) 256.015 * * [simplify]: iters left: 4 (94 enodes) 256.050 * * [simplify]: iters left: 3 (276 enodes) 256.276 * * [simplify]: Extracting #0: cost 1 inf + 0 256.276 * * [simplify]: Extracting #1: cost 48 inf + 0 256.277 * * [simplify]: Extracting #2: cost 205 inf + 0 256.279 * * [simplify]: Extracting #3: cost 236 inf + 3 256.283 * * [simplify]: Extracting #4: cost 194 inf + 11744 256.303 * * [simplify]: Extracting #5: cost 59 inf + 96623 256.330 * * [simplify]: Extracting #6: cost 2 inf + 139039 256.350 * * [simplify]: Extracting #7: cost 0 inf + 134445 256.371 * * [simplify]: Extracting #8: cost 0 inf + 134022 256.398 * [simplify]: Simplified to (* (* (pow n (/ k 4)) (pow (* 2 PI) (/ k 4))) (* (pow n (/ k 4)) (pow (* 2 PI) (/ k 4)))) 256.399 * [simplify]: Simplified (2 2) to (λ (k n) (/ (* (pow (* 2 PI) 1/4) (* (sqrt n) (/ (pow (* 2 PI) 1/4) (sqrt k)))) (* (* (pow n (/ k 4)) (pow (* 2 PI) (/ k 4))) (* (pow n (/ k 4)) (pow (* 2 PI) (/ k 4)))))) 256.399 * * * * [progress]: [ 323 / 417 ] simplifiying candidate # 256.399 * [simplify]: Simplifying (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ 1 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ 1 2)))) 256.399 * * [simplify]: iters left: 6 (19 enodes) 256.412 * * [simplify]: iters left: 5 (87 enodes) 256.450 * * [simplify]: iters left: 4 (195 enodes) 256.561 * * [simplify]: Extracting #0: cost 1 inf + 0 256.562 * * [simplify]: Extracting #1: cost 53 inf + 0 256.562 * * [simplify]: Extracting #2: cost 171 inf + 1 256.563 * * [simplify]: Extracting #3: cost 184 inf + 415 256.564 * * [simplify]: Extracting #4: cost 162 inf + 6703 256.569 * * [simplify]: Extracting #5: cost 66 inf + 51106 256.580 * * [simplify]: Extracting #6: cost 4 inf + 85727 256.599 * * [simplify]: Extracting #7: cost 0 inf + 88141 256.618 * [simplify]: Simplified to (/ (* (pow (* 2 PI) (/ (- 1 k) 4)) (sqrt n)) (/ (sqrt k) (pow (* 2 PI) 1/4))) 256.618 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (* (pow (* 2 PI) (/ (- 1 k) 4)) (sqrt n)) (/ (sqrt k) (pow (* 2 PI) 1/4))) (* (pow (* 2 PI) (/ (/ k 2) 2)) (pow n (/ k 2))))) 256.618 * [simplify]: Simplifying (* (pow (* 2 PI) (/ (/ k 2) 2)) (pow n (/ k 2))) 256.618 * * [simplify]: iters left: 6 (10 enodes) 256.623 * * [simplify]: iters left: 5 (40 enodes) 256.631 * * [simplify]: iters left: 4 (73 enodes) 256.645 * * [simplify]: iters left: 3 (167 enodes) 256.705 * * [simplify]: Extracting #0: cost 1 inf + 0 256.706 * * [simplify]: Extracting #1: cost 27 inf + 0 256.706 * * [simplify]: Extracting #2: cost 111 inf + 0 256.707 * * [simplify]: Extracting #3: cost 138 inf + 2 256.708 * * [simplify]: Extracting #4: cost 124 inf + 1675 256.711 * * [simplify]: Extracting #5: cost 60 inf + 23565 256.717 * * [simplify]: Extracting #6: cost 2 inf + 62915 256.724 * * [simplify]: Extracting #7: cost 0 inf + 64109 256.732 * [simplify]: Simplified to (* (pow (* 2 PI) (/ (/ k 2) 2)) (pow n (/ k 2))) 256.732 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (* (pow (* 2 PI) (/ (- 1 k) 4)) (sqrt n)) (/ (sqrt k) (pow (* 2 PI) 1/4))) (* (pow (* 2 PI) (/ (/ k 2) 2)) (pow n (/ k 2))))) 256.732 * * * * [progress]: [ 324 / 417 ] simplifiying candidate # 256.732 * [simplify]: Simplifying (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ 1 2) 2))) (* (pow (* 2 PI) (/ (/ 1 2) 2)) (pow n (/ (- 1 k) 2)))) 256.732 * * [simplify]: iters left: 6 (17 enodes) 256.739 * * [simplify]: iters left: 5 (79 enodes) 256.768 * * [simplify]: iters left: 4 (169 enodes) 256.849 * * [simplify]: Extracting #0: cost 1 inf + 0 256.850 * * [simplify]: Extracting #1: cost 44 inf + 0 256.850 * * [simplify]: Extracting #2: cost 131 inf + 1 256.851 * * [simplify]: Extracting #3: cost 141 inf + 374 256.852 * * [simplify]: Extracting #4: cost 133 inf + 1679 256.857 * * [simplify]: Extracting #5: cost 71 inf + 28190 256.863 * * [simplify]: Extracting #6: cost 8 inf + 62839 256.870 * * [simplify]: Extracting #7: cost 0 inf + 68273 256.878 * [simplify]: Simplified to (* (pow n (/ (- 1 k) 2)) (/ (pow (* 2 PI) 1/2) (sqrt k))) 256.878 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (/ (pow (* 2 PI) 1/2) (sqrt k))) (* (pow (* 2 PI) (/ (/ k 2) 2)) (pow (* 2 PI) (/ (/ k 2) 2))))) 256.878 * [simplify]: Simplifying (* (pow (* 2 PI) (/ (/ k 2) 2)) (pow (* 2 PI) (/ (/ k 2) 2))) 256.878 * * [simplify]: iters left: 6 (8 enodes) 256.881 * * [simplify]: iters left: 5 (33 enodes) 256.894 * * [simplify]: iters left: 4 (62 enodes) 256.917 * * [simplify]: iters left: 3 (129 enodes) 256.944 * * [simplify]: iters left: 2 (268 enodes) 257.061 * * [simplify]: Extracting #0: cost 1 inf + 0 257.061 * * [simplify]: Extracting #1: cost 23 inf + 0 257.061 * * [simplify]: Extracting #2: cost 91 inf + 1 257.062 * * [simplify]: Extracting #3: cost 107 inf + 509 257.065 * * [simplify]: Extracting #4: cost 66 inf + 4639 257.072 * * [simplify]: Extracting #5: cost 26 inf + 22762 257.082 * * [simplify]: Extracting #6: cost 0 inf + 41564 257.097 * [simplify]: Simplified to (pow (* 2 PI) (* 1/2 k)) 257.097 * [simplify]: Simplified (2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (/ (pow (* 2 PI) 1/2) (sqrt k))) (pow (* 2 PI) (* 1/2 k)))) 257.097 * * * * [progress]: [ 325 / 417 ] simplifiying candidate # 257.098 * [simplify]: Simplifying (* (* 1 (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ 1 2) 2)) (pow n (/ 1 2)))) 257.098 * * [simplify]: iters left: 6 (17 enodes) 257.110 * * [simplify]: iters left: 5 (78 enodes) 257.146 * * [simplify]: iters left: 4 (178 enodes) 257.218 * * [simplify]: Extracting #0: cost 1 inf + 0 257.219 * * [simplify]: Extracting #1: cost 38 inf + 0 257.219 * * [simplify]: Extracting #2: cost 117 inf + 1 257.220 * * [simplify]: Extracting #3: cost 134 inf + 251 257.221 * * [simplify]: Extracting #4: cost 124 inf + 2622 257.222 * * [simplify]: Extracting #5: cost 89 inf + 15001 257.225 * * [simplify]: Extracting #6: cost 50 inf + 29300 257.230 * * [simplify]: Extracting #7: cost 10 inf + 52223 257.236 * * [simplify]: Extracting #8: cost 0 inf + 59156 257.242 * [simplify]: Simplified to (* (pow (* PI 2) (/ (- 1 k) 4)) (* (pow (* PI 2) 1/4) (sqrt n))) 257.242 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (pow (* PI 2) (/ (- 1 k) 4)) (* (pow (* PI 2) 1/4) (sqrt n))) (* (sqrt k) (* (pow (* 2 PI) (/ (/ k 2) 2)) (pow n (/ k 2)))))) 257.243 * [simplify]: Simplifying (* (sqrt k) (* (pow (* 2 PI) (/ (/ k 2) 2)) (pow n (/ k 2)))) 257.243 * * [simplify]: iters left: 6 (12 enodes) 257.246 * * [simplify]: iters left: 5 (49 enodes) 257.257 * * [simplify]: iters left: 4 (91 enodes) 257.288 * * [simplify]: iters left: 3 (229 enodes) 257.423 * * [simplify]: Extracting #0: cost 1 inf + 0 257.423 * * [simplify]: Extracting #1: cost 54 inf + 0 257.424 * * [simplify]: Extracting #2: cost 185 inf + 0 257.425 * * [simplify]: Extracting #3: cost 205 inf + 85 257.428 * * [simplify]: Extracting #4: cost 169 inf + 10610 257.445 * * [simplify]: Extracting #5: cost 47 inf + 85128 257.459 * * [simplify]: Extracting #6: cost 0 inf + 116072 257.472 * * [simplify]: Extracting #7: cost 0 inf + 113903 257.490 * * [simplify]: Extracting #8: cost 0 inf + 113730 257.505 * [simplify]: Simplified to (* (* (pow n (/ k 2)) (pow (* 2 PI) (/ (/ k 2) 2))) (sqrt k)) 257.505 * [simplify]: Simplified (2 2) to (λ (k n) (/ (* (pow (* PI 2) (/ (- 1 k) 4)) (* (pow (* PI 2) 1/4) (sqrt n))) (* (* (pow n (/ k 2)) (pow (* 2 PI) (/ (/ k 2) 2))) (sqrt k)))) 257.505 * * * * [progress]: [ 326 / 417 ] simplifiying candidate # 257.505 * [simplify]: Simplifying (* (* 1 (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ 1 2)))) 257.505 * * [simplify]: iters left: 6 (15 enodes) 257.510 * * [simplify]: iters left: 5 (68 enodes) 257.526 * * [simplify]: iters left: 4 (159 enodes) 257.571 * * [simplify]: iters left: 3 (414 enodes) 257.829 * * [simplify]: Extracting #0: cost 1 inf + 0 257.829 * * [simplify]: Extracting #1: cost 40 inf + 0 257.829 * * [simplify]: Extracting #2: cost 205 inf + 1 257.830 * * [simplify]: Extracting #3: cost 243 inf + 513 257.832 * * [simplify]: Extracting #4: cost 246 inf + 1956 257.834 * * [simplify]: Extracting #5: cost 203 inf + 16343 257.845 * * [simplify]: Extracting #6: cost 53 inf + 106153 257.872 * * [simplify]: Extracting #7: cost 1 inf + 142732 257.912 * * [simplify]: Extracting #8: cost 0 inf + 143148 257.940 * [simplify]: Simplified to (* (pow (* PI 2) (/ (- 1 k) 4)) (* (pow (* PI 2) (/ (- 1 k) 4)) (sqrt n))) 257.940 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (pow (* PI 2) (/ (- 1 k) 4)) (* (pow (* PI 2) (/ (- 1 k) 4)) (sqrt n))) (* (sqrt k) (pow n (/ k 2))))) 257.941 * [simplify]: Simplifying (* (sqrt k) (pow n (/ k 2))) 257.941 * * [simplify]: iters left: 5 (7 enodes) 257.943 * * [simplify]: iters left: 4 (25 enodes) 257.947 * * [simplify]: iters left: 3 (41 enodes) 257.955 * * [simplify]: iters left: 2 (79 enodes) 257.976 * * [simplify]: iters left: 1 (180 enodes) 258.034 * * [simplify]: Extracting #0: cost 1 inf + 0 258.035 * * [simplify]: Extracting #1: cost 23 inf + 0 258.036 * * [simplify]: Extracting #2: cost 86 inf + 0 258.036 * * [simplify]: Extracting #3: cost 107 inf + 45 258.037 * * [simplify]: Extracting #4: cost 97 inf + 1387 258.039 * * [simplify]: Extracting #5: cost 67 inf + 4932 258.044 * * [simplify]: Extracting #6: cost 24 inf + 26374 258.054 * * [simplify]: Extracting #7: cost 0 inf + 42198 258.064 * * [simplify]: Extracting #8: cost 0 inf + 41565 258.073 * [simplify]: Simplified to (* (pow n (/ k 2)) (sqrt k)) 258.074 * [simplify]: Simplified (2 2) to (λ (k n) (/ (* (pow (* PI 2) (/ (- 1 k) 4)) (* (pow (* PI 2) (/ (- 1 k) 4)) (sqrt n))) (* (pow n (/ k 2)) (sqrt k)))) 258.074 * * * * [progress]: [ 327 / 417 ] simplifiying candidate # 258.074 * [simplify]: Simplifying (* (* 1 (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ 1 2) 2)) (pow n (/ (- 1 k) 2)))) 258.074 * * [simplify]: iters left: 6 (17 enodes) 258.086 * * [simplify]: iters left: 5 (78 enodes) 258.111 * * [simplify]: iters left: 4 (169 enodes) 258.167 * * [simplify]: iters left: 3 (486 enodes) 258.533 * * [simplify]: Extracting #0: cost 1 inf + 0 258.534 * * [simplify]: Extracting #1: cost 59 inf + 0 258.536 * * [simplify]: Extracting #2: cost 334 inf + 1 258.539 * * [simplify]: Extracting #3: cost 399 inf + 6 258.542 * * [simplify]: Extracting #4: cost 396 inf + 2583 258.553 * * [simplify]: Extracting #5: cost 282 inf + 53874 258.600 * * [simplify]: Extracting #6: cost 70 inf + 215326 258.640 * * [simplify]: Extracting #7: cost 2 inf + 267954 258.687 * * [simplify]: Extracting #8: cost 0 inf + 268428 258.755 * * [simplify]: Extracting #9: cost 0 inf + 267924 258.795 * [simplify]: Simplified to (* (pow (* PI 2) (/ (- 1 k) 4)) (* (pow (* PI 2) 1/4) (pow n (/ (- 1 k) 2)))) 258.795 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (pow (* PI 2) (/ (- 1 k) 4)) (* (pow (* PI 2) 1/4) (pow n (/ (- 1 k) 2)))) (* (sqrt k) (pow (* 2 PI) (/ (/ k 2) 2))))) 258.796 * [simplify]: Simplifying (* (sqrt k) (pow (* 2 PI) (/ (/ k 2) 2))) 258.796 * * [simplify]: iters left: 6 (9 enodes) 258.801 * * [simplify]: iters left: 5 (35 enodes) 258.812 * * [simplify]: iters left: 4 (51 enodes) 258.821 * * [simplify]: iters left: 3 (92 enodes) 258.842 * * [simplify]: iters left: 2 (205 enodes) 258.931 * * [simplify]: Extracting #0: cost 1 inf + 0 258.931 * * [simplify]: Extracting #1: cost 28 inf + 0 258.931 * * [simplify]: Extracting #2: cost 97 inf + 0 258.932 * * [simplify]: Extracting #3: cost 125 inf + 86 258.933 * * [simplify]: Extracting #4: cost 114 inf + 2462 258.939 * * [simplify]: Extracting #5: cost 35 inf + 30951 258.945 * * [simplify]: Extracting #6: cost 2 inf + 51027 258.952 * * [simplify]: Extracting #7: cost 0 inf + 51554 258.959 * * [simplify]: Extracting #8: cost 0 inf + 51475 258.971 * [simplify]: Simplified to (* (sqrt k) (pow (* 2 PI) (/ k 4))) 258.972 * [simplify]: Simplified (2 2) to (λ (k n) (/ (* (pow (* PI 2) (/ (- 1 k) 4)) (* (pow (* PI 2) 1/4) (pow n (/ (- 1 k) 2)))) (* (sqrt k) (pow (* 2 PI) (/ k 4))))) 258.972 * * * * [progress]: [ 328 / 417 ] simplifiying candidate # 258.972 * * * * [progress]: [ 329 / 417 ] simplifiying candidate # 258.972 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 258.972 * * [simplify]: iters left: 5 (7 enodes) 258.975 * * [simplify]: iters left: 4 (32 enodes) 258.981 * * [simplify]: iters left: 3 (57 enodes) 258.991 * * [simplify]: iters left: 2 (88 enodes) 259.012 * * [simplify]: iters left: 1 (156 enodes) 259.050 * * [simplify]: Extracting #0: cost 1 inf + 0 259.050 * * [simplify]: Extracting #1: cost 13 inf + 0 259.050 * * [simplify]: Extracting #2: cost 49 inf + 2 259.051 * * [simplify]: Extracting #3: cost 80 inf + 6 259.052 * * [simplify]: Extracting #4: cost 58 inf + 1840 259.055 * * [simplify]: Extracting #5: cost 22 inf + 9206 259.060 * * [simplify]: Extracting #6: cost 1 inf + 20886 259.063 * * [simplify]: Extracting #7: cost 0 inf + 21301 259.066 * * [simplify]: Extracting #8: cost 0 inf + 21130 259.069 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 259.069 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 259.070 * * * * [progress]: [ 330 / 417 ] simplifiying candidate # 259.070 * [simplify]: Simplifying (/ 1 (sqrt k)) 259.070 * * [simplify]: iters left: 3 (4 enodes) 259.071 * * [simplify]: iters left: 2 (14 enodes) 259.074 * * [simplify]: iters left: 1 (16 enodes) 259.076 * * [simplify]: Extracting #0: cost 1 inf + 0 259.076 * * [simplify]: Extracting #1: cost 4 inf + 0 259.076 * * [simplify]: Extracting #2: cost 5 inf + 1 259.076 * * [simplify]: Extracting #3: cost 3 inf + 43 259.076 * * [simplify]: Extracting #4: cost 1 inf + 166 259.077 * * [simplify]: Extracting #5: cost 0 inf + 248 259.077 * [simplify]: Simplified to (/ 1 (sqrt k)) 259.077 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2)))))) 259.077 * * * * [progress]: [ 331 / 417 ] simplifiying candidate # 259.077 * [simplify]: Simplifying (* (pow (* 2 PI) (/ (/ k 2) 2)) (pow n (/ k 2))) 259.077 * * [simplify]: iters left: 6 (10 enodes) 259.080 * * [simplify]: iters left: 5 (40 enodes) 259.087 * * [simplify]: iters left: 4 (73 enodes) 259.108 * * [simplify]: iters left: 3 (167 enodes) 259.164 * * [simplify]: Extracting #0: cost 1 inf + 0 259.164 * * [simplify]: Extracting #1: cost 27 inf + 0 259.165 * * [simplify]: Extracting #2: cost 111 inf + 0 259.165 * * [simplify]: Extracting #3: cost 138 inf + 2 259.166 * * [simplify]: Extracting #4: cost 124 inf + 1675 259.168 * * [simplify]: Extracting #5: cost 60 inf + 23565 259.175 * * [simplify]: Extracting #6: cost 2 inf + 62915 259.183 * * [simplify]: Extracting #7: cost 0 inf + 64109 259.199 * [simplify]: Simplified to (* (pow (* 2 PI) (/ (/ k 2) 2)) (pow n (/ k 2))) 259.199 * [simplify]: Simplified (2 2) to (λ (k n) (/ (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ 1 2) 2)) (pow n (/ 1 2)))) (* (pow (* 2 PI) (/ (/ k 2) 2)) (pow n (/ k 2))))) 259.199 * * * * [progress]: [ 332 / 417 ] simplifiying candidate # 259.199 * [simplify]: Simplifying (pow n (/ k 2)) 259.199 * * [simplify]: iters left: 3 (5 enodes) 259.201 * * [simplify]: iters left: 2 (18 enodes) 259.204 * * [simplify]: iters left: 1 (30 enodes) 259.210 * * [simplify]: Extracting #0: cost 1 inf + 0 259.210 * * [simplify]: Extracting #1: cost 10 inf + 0 259.210 * * [simplify]: Extracting #2: cost 23 inf + 1 259.210 * * [simplify]: Extracting #3: cost 23 inf + 46 259.210 * * [simplify]: Extracting #4: cost 11 inf + 1346 259.211 * * [simplify]: Extracting #5: cost 1 inf + 3938 259.211 * * [simplify]: Extracting #6: cost 0 inf + 4111 259.211 * * [simplify]: Extracting #7: cost 0 inf + 4070 259.212 * [simplify]: Simplified to (pow n (/ k 2)) 259.212 * [simplify]: Simplified (2 2) to (λ (k n) (/ (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ 1 2)))) (pow n (/ k 2)))) 259.212 * * * * [progress]: [ 333 / 417 ] simplifiying candidate # 259.213 * [simplify]: Simplifying (pow (* 2 PI) (/ (/ k 2) 2)) 259.213 * * [simplify]: iters left: 5 (7 enodes) 259.215 * * [simplify]: iters left: 4 (28 enodes) 259.220 * * [simplify]: iters left: 3 (43 enodes) 259.228 * * [simplify]: iters left: 2 (74 enodes) 259.248 * * [simplify]: iters left: 1 (151 enodes) 259.289 * * [simplify]: Extracting #0: cost 1 inf + 0 259.290 * * [simplify]: Extracting #1: cost 12 inf + 0 259.290 * * [simplify]: Extracting #2: cost 54 inf + 1 259.290 * * [simplify]: Extracting #3: cost 71 inf + 135 259.295 * * [simplify]: Extracting #4: cost 32 inf + 4638 259.298 * * [simplify]: Extracting #5: cost 6 inf + 15744 259.303 * * [simplify]: Extracting #6: cost 0 inf + 18744 259.308 * * [simplify]: Extracting #7: cost 0 inf + 18624 259.314 * [simplify]: Simplified to (pow (* 2 PI) (/ k 4)) 259.314 * [simplify]: Simplified (2 2) to (λ (k n) (/ (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ 1 2) 2)) (pow n (/ (- 1 k) 2)))) (pow (* 2 PI) (/ k 4)))) 259.314 * * * * [progress]: [ 334 / 417 ] simplifiying candidate # 259.314 * [simplify]: Simplifying (* (* 1 (pow (* 2 PI) (/ (/ 1 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2)))) 259.315 * * [simplify]: iters left: 6 (17 enodes) 259.326 * * [simplify]: iters left: 5 (77 enodes) 259.341 * * [simplify]: iters left: 4 (158 enodes) 259.394 * * [simplify]: iters left: 3 (463 enodes) 259.775 * * [simplify]: Extracting #0: cost 1 inf + 0 259.776 * * [simplify]: Extracting #1: cost 66 inf + 0 259.778 * * [simplify]: Extracting #2: cost 408 inf + 1 259.782 * * [simplify]: Extracting #3: cost 514 inf + 6 259.786 * * [simplify]: Extracting #4: cost 515 inf + 1109 259.794 * * [simplify]: Extracting #5: cost 448 inf + 24649 259.827 * * [simplify]: Extracting #6: cost 279 inf + 134909 259.898 * * [simplify]: Extracting #7: cost 22 inf + 350893 259.953 * * [simplify]: Extracting #8: cost 0 inf + 366291 260.040 * [simplify]: Simplified to (* (* (pow (* PI 2) 1/4) (pow n (- 1/4 (/ k 4)))) (* (pow n (- 1/4 (/ k 4))) (pow (* PI 2) (- 1/4 (/ k 4))))) 260.041 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (* (pow (* PI 2) 1/4) (pow n (- 1/4 (/ k 4)))) (* (pow n (- 1/4 (/ k 4))) (pow (* PI 2) (- 1/4 (/ k 4))))) (* (sqrt k) (pow (* 2 PI) (/ (/ k 2) 2))))) 260.041 * * * * [progress]: [ 335 / 417 ] simplifiying candidate # 260.041 * [simplify]: Simplifying (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ 1 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2)))) 260.041 * * [simplify]: iters left: 6 (19 enodes) 260.049 * * [simplify]: iters left: 5 (87 enodes) 260.068 * * [simplify]: iters left: 4 (186 enodes) 260.161 * * [simplify]: Extracting #0: cost 1 inf + 0 260.161 * * [simplify]: Extracting #1: cost 53 inf + 0 260.162 * * [simplify]: Extracting #2: cost 173 inf + 1 260.162 * * [simplify]: Extracting #3: cost 191 inf + 332 260.163 * * [simplify]: Extracting #4: cost 165 inf + 6460 260.171 * * [simplify]: Extracting #5: cost 41 inf + 78400 260.189 * * [simplify]: Extracting #6: cost 1 inf + 103201 260.205 * * [simplify]: Extracting #7: cost 0 inf + 103223 260.216 * [simplify]: Simplified to (/ (* (pow (* 2 PI) 1/4) (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 260.217 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (* (pow (* 2 PI) 1/4) (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (pow (* 2 PI) (/ (/ k 2) 2)))) 260.217 * * * * [progress]: [ 336 / 417 ] simplifiying candidate # 260.217 * [simplify]: Simplifying (* (* 1 (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2)))) 260.217 * * [simplify]: iters left: 6 (14 enodes) 260.222 * * [simplify]: iters left: 5 (64 enodes) 260.248 * * [simplify]: iters left: 4 (145 enodes) 260.325 * * [simplify]: iters left: 3 (365 enodes) 260.594 * * [simplify]: Extracting #0: cost 1 inf + 0 260.594 * * [simplify]: Extracting #1: cost 41 inf + 0 260.596 * * [simplify]: Extracting #2: cost 204 inf + 1 260.599 * * [simplify]: Extracting #3: cost 253 inf + 4 260.601 * * [simplify]: Extracting #4: cost 255 inf + 97 260.605 * * [simplify]: Extracting #5: cost 216 inf + 10002 260.625 * * [simplify]: Extracting #6: cost 87 inf + 85580 260.670 * * [simplify]: Extracting #7: cost 2 inf + 148843 260.712 * * [simplify]: Extracting #8: cost 0 inf + 149340 260.753 * * [simplify]: Extracting #9: cost 0 inf + 149339 260.794 * [simplify]: Simplified to (* (* (pow n (/ (- 1 k) 4)) (pow (* PI 2) (/ (- 1 k) 4))) (* (pow n (/ (- 1 k) 4)) (pow (* PI 2) (/ (- 1 k) 4)))) 260.794 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (* (pow n (/ (- 1 k) 4)) (pow (* PI 2) (/ (- 1 k) 4))) (* (pow n (/ (- 1 k) 4)) (pow (* PI 2) (/ (- 1 k) 4)))) (sqrt k))) 260.794 * * * * [progress]: [ 337 / 417 ] simplifiying candidate #real (real->posit16 (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2)))))))> 260.795 * * * * [progress]: [ 338 / 417 ] simplifiying candidate # 260.795 * * * * [progress]: [ 339 / 417 ] simplifiying candidate # 260.795 * * * * [progress]: [ 340 / 417 ] simplifiying candidate # 260.795 * [simplify]: Simplifying (+ (- (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) 260.795 * * [simplify]: iters left: 6 (15 enodes) 260.806 * * [simplify]: iters left: 5 (61 enodes) 260.817 * * [simplify]: iters left: 4 (96 enodes) 260.835 * * [simplify]: iters left: 3 (178 enodes) 260.890 * * [simplify]: iters left: 2 (309 enodes) 260.969 * * [simplify]: Extracting #0: cost 1 inf + 0 260.969 * * [simplify]: Extracting #1: cost 20 inf + 0 260.969 * * [simplify]: Extracting #2: cost 99 inf + 0 260.969 * * [simplify]: Extracting #3: cost 150 inf + 339 260.970 * * [simplify]: Extracting #4: cost 141 inf + 2660 260.973 * * [simplify]: Extracting #5: cost 57 inf + 17388 260.980 * * [simplify]: Extracting #6: cost 4 inf + 30612 260.991 * * [simplify]: Extracting #7: cost 0 inf + 32188 261.007 * [simplify]: Simplified to (- (/ (- (+ (log 2) (log PI)) (* k (+ (log 2) (log PI)))) 4) (log (sqrt k))) 261.008 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (/ (- (+ (log 2) (log PI)) (* k (+ (log 2) (log PI)))) 4) (log (sqrt k)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 261.008 * * * * [progress]: [ 341 / 417 ] simplifiying candidate # 261.008 * [simplify]: Simplifying (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 261.008 * * [simplify]: iters left: 6 (14 enodes) 261.015 * * [simplify]: iters left: 5 (61 enodes) 261.026 * * [simplify]: iters left: 4 (99 enodes) 261.043 * * [simplify]: iters left: 3 (171 enodes) 261.078 * * [simplify]: iters left: 2 (290 enodes) 261.172 * * [simplify]: Extracting #0: cost 1 inf + 0 261.173 * * [simplify]: Extracting #1: cost 20 inf + 0 261.173 * * [simplify]: Extracting #2: cost 101 inf + 0 261.173 * * [simplify]: Extracting #3: cost 156 inf + 5 261.174 * * [simplify]: Extracting #4: cost 149 inf + 1330 261.177 * * [simplify]: Extracting #5: cost 45 inf + 17453 261.182 * * [simplify]: Extracting #6: cost 0 inf + 28980 261.189 * [simplify]: Simplified to (- (/ (- (log (* 2 PI)) (* (log (* 2 PI)) k)) 4) (log (sqrt k))) 261.189 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (/ (- (log (* 2 PI)) (* (log (* 2 PI)) k)) 4) (log (sqrt k)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 261.190 * * * * [progress]: [ 342 / 417 ] simplifiying candidate # 261.190 * [simplify]: Simplifying (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 261.190 * * [simplify]: iters left: 6 (14 enodes) 261.195 * * [simplify]: iters left: 5 (61 enodes) 261.208 * * [simplify]: iters left: 4 (99 enodes) 261.243 * * [simplify]: iters left: 3 (171 enodes) 261.292 * * [simplify]: iters left: 2 (290 enodes) 261.382 * * [simplify]: Extracting #0: cost 1 inf + 0 261.382 * * [simplify]: Extracting #1: cost 20 inf + 0 261.382 * * [simplify]: Extracting #2: cost 101 inf + 0 261.382 * * [simplify]: Extracting #3: cost 156 inf + 5 261.383 * * [simplify]: Extracting #4: cost 149 inf + 1330 261.386 * * [simplify]: Extracting #5: cost 45 inf + 17453 261.391 * * [simplify]: Extracting #6: cost 0 inf + 28980 261.397 * [simplify]: Simplified to (- (/ (- (log (* 2 PI)) (* (log (* 2 PI)) k)) 4) (log (sqrt k))) 261.397 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (/ (- (log (* 2 PI)) (* (log (* 2 PI)) k)) 4) (log (sqrt k)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 261.397 * * * * [progress]: [ 343 / 417 ] simplifiying candidate # 261.397 * [simplify]: Simplifying (+ (- (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 261.397 * * [simplify]: iters left: 6 (14 enodes) 261.405 * * [simplify]: iters left: 5 (60 enodes) 261.428 * * [simplify]: iters left: 4 (102 enodes) 261.447 * * [simplify]: iters left: 3 (199 enodes) 261.509 * * [simplify]: iters left: 2 (448 enodes) 261.658 * * [simplify]: Extracting #0: cost 1 inf + 0 261.658 * * [simplify]: Extracting #1: cost 40 inf + 0 261.658 * * [simplify]: Extracting #2: cost 206 inf + 0 261.659 * * [simplify]: Extracting #3: cost 286 inf + 8 261.661 * * [simplify]: Extracting #4: cost 269 inf + 6124 261.671 * * [simplify]: Extracting #5: cost 78 inf + 51852 261.700 * * [simplify]: Extracting #6: cost 2 inf + 80260 261.721 * * [simplify]: Extracting #7: cost 0 inf + 80791 261.739 * [simplify]: Simplified to (- (* (log (* 2 PI)) (- 1/4 (/ k 4))) (log (sqrt k))) 261.739 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (* (log (* 2 PI)) (- 1/4 (/ k 4))) (log (sqrt k)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 261.739 * * * * [progress]: [ 344 / 417 ] simplifiying candidate # 261.739 * [simplify]: Simplifying (+ (- 0 (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) 261.740 * * [simplify]: iters left: 6 (16 enodes) 261.750 * * [simplify]: iters left: 5 (67 enodes) 261.773 * * [simplify]: iters left: 4 (113 enodes) 261.797 * * [simplify]: iters left: 3 (245 enodes) 261.856 * * [simplify]: Extracting #0: cost 1 inf + 0 261.856 * * [simplify]: Extracting #1: cost 26 inf + 0 261.857 * * [simplify]: Extracting #2: cost 116 inf + 1 261.857 * * [simplify]: Extracting #3: cost 160 inf + 297 261.859 * * [simplify]: Extracting #4: cost 150 inf + 1319 261.864 * * [simplify]: Extracting #5: cost 51 inf + 22584 261.870 * * [simplify]: Extracting #6: cost 3 inf + 36526 261.877 * * [simplify]: Extracting #7: cost 0 inf + 37638 261.887 * [simplify]: Simplified to (- (* (+ (log PI) (log 2)) (/ (- 1 k) 4)) (log (sqrt k))) 261.887 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (* (+ (log PI) (log 2)) (/ (- 1 k) 4)) (log (sqrt k)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 261.887 * * * * [progress]: [ 345 / 417 ] simplifiying candidate # 261.887 * [simplify]: Simplifying (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 261.887 * * [simplify]: iters left: 6 (15 enodes) 261.893 * * [simplify]: iters left: 5 (67 enodes) 261.910 * * [simplify]: iters left: 4 (116 enodes) 261.947 * * [simplify]: iters left: 3 (228 enodes) 262.010 * * [simplify]: Extracting #0: cost 1 inf + 0 262.010 * * [simplify]: Extracting #1: cost 21 inf + 0 262.010 * * [simplify]: Extracting #2: cost 100 inf + 1 262.011 * * [simplify]: Extracting #3: cost 151 inf + 3 262.012 * * [simplify]: Extracting #4: cost 142 inf + 996 262.016 * * [simplify]: Extracting #5: cost 58 inf + 15277 262.021 * * [simplify]: Extracting #6: cost 1 inf + 29398 262.027 * * [simplify]: Extracting #7: cost 0 inf + 29742 262.033 * [simplify]: Simplified to (- (* (- 1/4 (/ k 4)) (log (* 2 PI))) (log (sqrt k))) 262.033 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (* (- 1/4 (/ k 4)) (log (* 2 PI))) (log (sqrt k)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 262.033 * * * * [progress]: [ 346 / 417 ] simplifiying candidate # 262.033 * [simplify]: Simplifying (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 262.033 * * [simplify]: iters left: 6 (15 enodes) 262.038 * * [simplify]: iters left: 5 (67 enodes) 262.055 * * [simplify]: iters left: 4 (116 enodes) 262.092 * * [simplify]: iters left: 3 (228 enodes) 262.152 * * [simplify]: Extracting #0: cost 1 inf + 0 262.152 * * [simplify]: Extracting #1: cost 21 inf + 0 262.152 * * [simplify]: Extracting #2: cost 100 inf + 1 262.153 * * [simplify]: Extracting #3: cost 151 inf + 3 262.153 * * [simplify]: Extracting #4: cost 142 inf + 996 262.155 * * [simplify]: Extracting #5: cost 58 inf + 15277 262.160 * * [simplify]: Extracting #6: cost 1 inf + 29398 262.166 * * [simplify]: Extracting #7: cost 0 inf + 29742 262.172 * [simplify]: Simplified to (- (* (- 1/4 (/ k 4)) (log (* 2 PI))) (log (sqrt k))) 262.172 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (* (- 1/4 (/ k 4)) (log (* 2 PI))) (log (sqrt k)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 262.172 * * * * [progress]: [ 347 / 417 ] simplifiying candidate # 262.172 * [simplify]: Simplifying (+ (- 0 (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 262.172 * * [simplify]: iters left: 6 (15 enodes) 262.177 * * [simplify]: iters left: 5 (66 enodes) 262.204 * * [simplify]: iters left: 4 (116 enodes) 262.226 * * [simplify]: iters left: 3 (241 enodes) 262.297 * * [simplify]: Extracting #0: cost 1 inf + 0 262.297 * * [simplify]: Extracting #1: cost 23 inf + 0 262.298 * * [simplify]: Extracting #2: cost 130 inf + 1 262.298 * * [simplify]: Extracting #3: cost 210 inf + 3 262.299 * * [simplify]: Extracting #4: cost 191 inf + 4569 262.304 * * [simplify]: Extracting #5: cost 53 inf + 32602 262.312 * * [simplify]: Extracting #6: cost 2 inf + 46728 262.320 * * [simplify]: Extracting #7: cost 0 inf + 47559 262.333 * [simplify]: Simplified to (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))) 262.333 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 262.333 * * * * [progress]: [ 348 / 417 ] simplifiying candidate # 262.333 * [simplify]: Simplifying (+ (- (log 1) (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) 262.334 * * [simplify]: iters left: 6 (16 enodes) 262.343 * * [simplify]: iters left: 5 (68 enodes) 262.365 * * [simplify]: iters left: 4 (108 enodes) 262.394 * * [simplify]: iters left: 3 (229 enodes) 262.443 * * [simplify]: Extracting #0: cost 1 inf + 0 262.443 * * [simplify]: Extracting #1: cost 21 inf + 0 262.443 * * [simplify]: Extracting #2: cost 111 inf + 1 262.444 * * [simplify]: Extracting #3: cost 156 inf + 185 262.444 * * [simplify]: Extracting #4: cost 143 inf + 1543 262.447 * * [simplify]: Extracting #5: cost 56 inf + 20559 262.460 * * [simplify]: Extracting #6: cost 1 inf + 35080 262.466 * * [simplify]: Extracting #7: cost 0 inf + 35274 262.472 * [simplify]: Simplified to (- (/ (+ (log PI) (log 2)) (/ 4 (- 1 k))) (log (sqrt k))) 262.472 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (/ (+ (log PI) (log 2)) (/ 4 (- 1 k))) (log (sqrt k)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 262.472 * * * * [progress]: [ 349 / 417 ] simplifiying candidate # 262.473 * [simplify]: Simplifying (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 262.473 * * [simplify]: iters left: 6 (15 enodes) 262.478 * * [simplify]: iters left: 5 (68 enodes) 262.489 * * [simplify]: iters left: 4 (111 enodes) 262.510 * * [simplify]: iters left: 3 (220 enodes) 262.556 * * [simplify]: iters left: 2 (477 enodes) 262.802 * * [simplify]: Extracting #0: cost 1 inf + 0 262.802 * * [simplify]: Extracting #1: cost 38 inf + 0 262.803 * * [simplify]: Extracting #2: cost 195 inf + 1 262.805 * * [simplify]: Extracting #3: cost 289 inf + 299 262.810 * * [simplify]: Extracting #4: cost 204 inf + 14258 262.830 * * [simplify]: Extracting #5: cost 21 inf + 54869 262.849 * * [simplify]: Extracting #6: cost 0 inf + 59662 262.865 * [simplify]: Simplified to (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k))) 262.865 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 262.865 * * * * [progress]: [ 350 / 417 ] simplifiying candidate # 262.865 * [simplify]: Simplifying (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 262.865 * * [simplify]: iters left: 6 (15 enodes) 262.871 * * [simplify]: iters left: 5 (68 enodes) 262.888 * * [simplify]: iters left: 4 (111 enodes) 262.908 * * [simplify]: iters left: 3 (220 enodes) 262.972 * * [simplify]: iters left: 2 (477 enodes) 263.156 * * [simplify]: Extracting #0: cost 1 inf + 0 263.156 * * [simplify]: Extracting #1: cost 38 inf + 0 263.157 * * [simplify]: Extracting #2: cost 195 inf + 1 263.158 * * [simplify]: Extracting #3: cost 289 inf + 299 263.161 * * [simplify]: Extracting #4: cost 204 inf + 14258 263.171 * * [simplify]: Extracting #5: cost 21 inf + 54869 263.183 * * [simplify]: Extracting #6: cost 0 inf + 59662 263.195 * [simplify]: Simplified to (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k))) 263.195 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 263.195 * * * * [progress]: [ 351 / 417 ] simplifiying candidate # 263.196 * [simplify]: Simplifying (+ (- (log 1) (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 263.196 * * [simplify]: iters left: 6 (15 enodes) 263.203 * * [simplify]: iters left: 5 (67 enodes) 263.216 * * [simplify]: iters left: 4 (111 enodes) 263.251 * * [simplify]: iters left: 3 (237 enodes) 263.311 * * [simplify]: Extracting #0: cost 1 inf + 0 263.311 * * [simplify]: Extracting #1: cost 23 inf + 0 263.312 * * [simplify]: Extracting #2: cost 128 inf + 1 263.313 * * [simplify]: Extracting #3: cost 207 inf + 3 263.315 * * [simplify]: Extracting #4: cost 175 inf + 6820 263.324 * * [simplify]: Extracting #5: cost 69 inf + 27027 263.336 * * [simplify]: Extracting #6: cost 2 inf + 46869 263.344 * * [simplify]: Extracting #7: cost 0 inf + 47298 263.351 * [simplify]: Simplified to (- (* (/ (- 1 k) 4) (log (* PI 2))) (log (sqrt k))) 263.351 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (* (/ (- 1 k) 4) (log (* PI 2))) (log (sqrt k)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 263.352 * * * * [progress]: [ 352 / 417 ] simplifiying candidate # 263.352 * [simplify]: Simplifying (+ (log (/ 1 (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) 263.352 * * [simplify]: iters left: 6 (15 enodes) 263.357 * * [simplify]: iters left: 5 (65 enodes) 263.370 * * [simplify]: iters left: 4 (102 enodes) 263.407 * * [simplify]: iters left: 3 (188 enodes) 263.443 * * [simplify]: iters left: 2 (333 enodes) 263.564 * * [simplify]: Extracting #0: cost 1 inf + 0 263.564 * * [simplify]: Extracting #1: cost 24 inf + 0 263.565 * * [simplify]: Extracting #2: cost 128 inf + 1 263.566 * * [simplify]: Extracting #3: cost 185 inf + 77 263.569 * * [simplify]: Extracting #4: cost 136 inf + 10161 263.582 * * [simplify]: Extracting #5: cost 21 inf + 34674 263.601 * * [simplify]: Extracting #6: cost 0 inf + 41265 263.616 * [simplify]: Simplified to (- (/ (- (+ (log PI) (log 2)) (* k (+ (log PI) (log 2)))) 4) (log (sqrt k))) 263.616 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (/ (- (+ (log PI) (log 2)) (* k (+ (log PI) (log 2)))) 4) (log (sqrt k)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 263.616 * * * * [progress]: [ 353 / 417 ] simplifiying candidate # 263.617 * [simplify]: Simplifying (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 263.617 * * [simplify]: iters left: 6 (14 enodes) 263.627 * * [simplify]: iters left: 5 (65 enodes) 263.641 * * [simplify]: iters left: 4 (105 enodes) 263.659 * * [simplify]: iters left: 3 (181 enodes) 263.697 * * [simplify]: iters left: 2 (316 enodes) 263.823 * * [simplify]: Extracting #0: cost 1 inf + 0 263.823 * * [simplify]: Extracting #1: cost 26 inf + 0 263.824 * * [simplify]: Extracting #2: cost 132 inf + 1 263.825 * * [simplify]: Extracting #3: cost 190 inf + 6 263.827 * * [simplify]: Extracting #4: cost 150 inf + 6375 263.839 * * [simplify]: Extracting #5: cost 19 inf + 31490 263.853 * * [simplify]: Extracting #6: cost 0 inf + 37652 263.868 * [simplify]: Simplified to (- (/ (- (log (* 2 PI)) (* (log (* 2 PI)) k)) 4) (log (sqrt k))) 263.868 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (/ (- (log (* 2 PI)) (* (log (* 2 PI)) k)) 4) (log (sqrt k)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 263.868 * * * * [progress]: [ 354 / 417 ] simplifiying candidate # 263.868 * [simplify]: Simplifying (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 263.868 * * [simplify]: iters left: 6 (14 enodes) 263.877 * * [simplify]: iters left: 5 (65 enodes) 263.892 * * [simplify]: iters left: 4 (105 enodes) 263.909 * * [simplify]: iters left: 3 (181 enodes) 263.965 * * [simplify]: iters left: 2 (316 enodes) 264.072 * * [simplify]: Extracting #0: cost 1 inf + 0 264.072 * * [simplify]: Extracting #1: cost 26 inf + 0 264.072 * * [simplify]: Extracting #2: cost 132 inf + 1 264.073 * * [simplify]: Extracting #3: cost 190 inf + 6 264.074 * * [simplify]: Extracting #4: cost 150 inf + 6375 264.080 * * [simplify]: Extracting #5: cost 19 inf + 31490 264.087 * * [simplify]: Extracting #6: cost 0 inf + 37652 264.094 * [simplify]: Simplified to (- (/ (- (log (* 2 PI)) (* (log (* 2 PI)) k)) 4) (log (sqrt k))) 264.094 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (/ (- (log (* 2 PI)) (* (log (* 2 PI)) k)) 4) (log (sqrt k)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 264.094 * * * * [progress]: [ 355 / 417 ] simplifiying candidate # 264.094 * [simplify]: Simplifying (+ (log (/ 1 (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 264.095 * * [simplify]: iters left: 6 (14 enodes) 264.101 * * [simplify]: iters left: 5 (64 enodes) 264.123 * * [simplify]: iters left: 4 (108 enodes) 264.166 * * [simplify]: iters left: 3 (209 enodes) 264.249 * * [simplify]: iters left: 2 (481 enodes) 264.446 * * [simplify]: Extracting #0: cost 1 inf + 0 264.446 * * [simplify]: Extracting #1: cost 42 inf + 0 264.447 * * [simplify]: Extracting #2: cost 263 inf + 1 264.448 * * [simplify]: Extracting #3: cost 354 inf + 9 264.450 * * [simplify]: Extracting #4: cost 329 inf + 7332 264.461 * * [simplify]: Extracting #5: cost 134 inf + 50237 264.478 * * [simplify]: Extracting #6: cost 16 inf + 92537 264.505 * * [simplify]: Extracting #7: cost 0 inf + 99460 264.541 * [simplify]: Simplified to (- (* (log (* 2 PI)) (/ (- 1 k) 4)) (log (sqrt k))) 264.541 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (* (log (* 2 PI)) (/ (- 1 k) 4)) (log (sqrt k)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 264.541 * * * * [progress]: [ 356 / 417 ] simplifiying candidate # 264.541 * * * * [progress]: [ 357 / 417 ] simplifiying candidate # 264.541 * * * * [progress]: [ 358 / 417 ] simplifiying candidate # 264.541 * [simplify]: Simplifying (* (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 264.542 * * [simplify]: iters left: 6 (18 enodes) 264.553 * * [simplify]: iters left: 5 (77 enodes) 264.570 * * [simplify]: iters left: 4 (182 enodes) 264.681 * * [simplify]: Extracting #0: cost 1 inf + 0 264.681 * * [simplify]: Extracting #1: cost 52 inf + 0 264.682 * * [simplify]: Extracting #2: cost 154 inf + 206 264.684 * * [simplify]: Extracting #3: cost 164 inf + 1763 264.688 * * [simplify]: Extracting #4: cost 133 inf + 12121 264.702 * * [simplify]: Extracting #5: cost 49 inf + 48821 264.726 * * [simplify]: Extracting #6: cost 0 inf + 75566 264.750 * * [simplify]: Extracting #7: cost 0 inf + 72389 264.772 * [simplify]: Simplified to (* (/ (* (pow (* PI 2) (- 1/4 (/ k 4))) (pow (* PI 2) (- 1/4 (/ k 4)))) (sqrt k)) (/ (pow (* PI 2) (- 1/4 (/ k 4))) k)) 264.772 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (cbrt (* (/ (* (pow (* PI 2) (- 1/4 (/ k 4))) (pow (* PI 2) (- 1/4 (/ k 4)))) (sqrt k)) (/ (pow (* PI 2) (- 1/4 (/ k 4))) k))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 264.773 * * * * [progress]: [ 359 / 417 ] simplifiying candidate # 264.773 * [simplify]: Simplifying (* (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))) (* (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 264.773 * * [simplify]: iters left: 6 (16 enodes) 264.783 * * [simplify]: iters left: 5 (78 enodes) 264.813 * * [simplify]: iters left: 4 (165 enodes) 264.884 * * [simplify]: iters left: 3 (487 enodes) 265.168 * * [simplify]: Extracting #0: cost 1 inf + 0 265.169 * * [simplify]: Extracting #1: cost 84 inf + 0 265.170 * * [simplify]: Extracting #2: cost 395 inf + 3 265.172 * * [simplify]: Extracting #3: cost 440 inf + 993 265.181 * * [simplify]: Extracting #4: cost 420 inf + 4156 265.190 * * [simplify]: Extracting #5: cost 294 inf + 65190 265.215 * * [simplify]: Extracting #6: cost 67 inf + 221190 265.279 * * [simplify]: Extracting #7: cost 0 inf + 271766 265.322 * * [simplify]: Extracting #8: cost 0 inf + 265450 265.393 * * [simplify]: Extracting #9: cost 0 inf + 258757 265.471 * * [simplify]: Extracting #10: cost 0 inf + 256176 265.516 * * [simplify]: Extracting #11: cost 0 inf + 256045 265.566 * [simplify]: Simplified to (* (* (/ (pow (* PI 2) (- 1/4 (/ k 4))) (sqrt k)) (/ (pow (* PI 2) (- 1/4 (/ k 4))) k)) (pow (* PI 2) (- 1/4 (/ k 4)))) 265.566 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (cbrt (* (* (/ (pow (* PI 2) (- 1/4 (/ k 4))) (sqrt k)) (/ (pow (* PI 2) (- 1/4 (/ k 4))) k)) (pow (* PI 2) (- 1/4 (/ k 4))))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 265.566 * * * * [progress]: [ 360 / 417 ] simplifiying candidate # 265.566 * * * * [progress]: [ 361 / 417 ] simplifiying candidate # 265.566 * * * * [progress]: [ 362 / 417 ] simplifiying candidate # 265.566 * * * * [progress]: [ 363 / 417 ] simplifiying candidate # 265.567 * [simplify]: Simplifying (* 1 (pow (* 2 PI) (/ (/ 1 2) 2))) 265.567 * * [simplify]: iters left: 6 (8 enodes) 265.571 * * [simplify]: iters left: 5 (34 enodes) 265.578 * * [simplify]: iters left: 4 (55 enodes) 265.591 * * [simplify]: iters left: 3 (80 enodes) 265.616 * * [simplify]: iters left: 2 (135 enodes) 265.640 * * [simplify]: iters left: 1 (220 enodes) 265.710 * * [simplify]: Extracting #0: cost 1 inf + 0 265.710 * * [simplify]: Extracting #1: cost 17 inf + 0 265.710 * * [simplify]: Extracting #2: cost 58 inf + 3 265.711 * * [simplify]: Extracting #3: cost 60 inf + 10 265.712 * * [simplify]: Extracting #4: cost 46 inf + 3934 265.716 * * [simplify]: Extracting #5: cost 10 inf + 24237 265.721 * * [simplify]: Extracting #6: cost 0 inf + 29950 265.727 * [simplify]: Simplified to (pow (* PI 2) 1/4) 265.727 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (/ (pow (* PI 2) 1/4) (* (sqrt k) (pow (* 2 PI) (/ (/ k 2) 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 265.728 * [simplify]: Simplifying (* (sqrt k) (pow (* 2 PI) (/ (/ k 2) 2))) 265.728 * * [simplify]: iters left: 6 (9 enodes) 265.733 * * [simplify]: iters left: 5 (35 enodes) 265.744 * * [simplify]: iters left: 4 (51 enodes) 265.753 * * [simplify]: iters left: 3 (92 enodes) 265.773 * * [simplify]: iters left: 2 (205 enodes) 265.850 * * [simplify]: Extracting #0: cost 1 inf + 0 265.850 * * [simplify]: Extracting #1: cost 28 inf + 0 265.850 * * [simplify]: Extracting #2: cost 97 inf + 0 265.851 * * [simplify]: Extracting #3: cost 125 inf + 86 265.851 * * [simplify]: Extracting #4: cost 114 inf + 2462 265.855 * * [simplify]: Extracting #5: cost 35 inf + 30951 265.863 * * [simplify]: Extracting #6: cost 2 inf + 51027 265.869 * * [simplify]: Extracting #7: cost 0 inf + 51554 265.875 * * [simplify]: Extracting #8: cost 0 inf + 51475 265.882 * [simplify]: Simplified to (* (sqrt k) (pow (* 2 PI) (/ k 4))) 265.882 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (pow (* PI 2) 1/4) (* (sqrt k) (pow (* 2 PI) (/ k 4)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 265.882 * * * * [progress]: [ 364 / 417 ] simplifiying candidate # 265.882 * * * * [progress]: [ 365 / 417 ] simplifiying candidate # 265.882 * [simplify]: Simplifying (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 265.882 * * [simplify]: iters left: 6 (14 enodes) 265.886 * * [simplify]: iters left: 5 (58 enodes) 265.905 * * [simplify]: iters left: 4 (90 enodes) 265.934 * * [simplify]: iters left: 3 (138 enodes) 265.966 * * [simplify]: iters left: 2 (233 enodes) 266.029 * * [simplify]: iters left: 1 (426 enodes) 266.206 * * [simplify]: Extracting #0: cost 1 inf + 0 266.206 * * [simplify]: Extracting #1: cost 4 inf + 0 266.206 * * [simplify]: Extracting #2: cost 9 inf + 0 266.206 * * [simplify]: Extracting #3: cost 37 inf + 0 266.207 * * [simplify]: Extracting #4: cost 121 inf + 2 266.208 * * [simplify]: Extracting #5: cost 173 inf + 672 266.210 * * [simplify]: Extracting #6: cost 105 inf + 9373 266.215 * * [simplify]: Extracting #7: cost 46 inf + 23375 266.226 * * [simplify]: Extracting #8: cost 4 inf + 55013 266.241 * * [simplify]: Extracting #9: cost 0 inf + 56783 266.259 * * [simplify]: Extracting #10: cost 0 inf + 56623 266.278 * [simplify]: Simplified to (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* 2 PI) (- 1/4 (/ k 4))))) 266.278 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* 2 PI) (- 1/4 (/ k 4))))) (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 266.278 * [simplify]: Simplifying (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 266.278 * * [simplify]: iters left: 6 (14 enodes) 266.286 * * [simplify]: iters left: 5 (58 enodes) 266.296 * * [simplify]: iters left: 4 (90 enodes) 266.312 * * [simplify]: iters left: 3 (138 enodes) 266.356 * * [simplify]: iters left: 2 (233 enodes) 266.442 * * [simplify]: iters left: 1 (426 enodes) 266.648 * * [simplify]: Extracting #0: cost 1 inf + 0 266.648 * * [simplify]: Extracting #1: cost 4 inf + 0 266.648 * * [simplify]: Extracting #2: cost 9 inf + 0 266.648 * * [simplify]: Extracting #3: cost 37 inf + 0 266.649 * * [simplify]: Extracting #4: cost 121 inf + 2 266.649 * * [simplify]: Extracting #5: cost 173 inf + 672 266.652 * * [simplify]: Extracting #6: cost 105 inf + 9373 266.656 * * [simplify]: Extracting #7: cost 46 inf + 23375 266.665 * * [simplify]: Extracting #8: cost 4 inf + 55013 266.675 * * [simplify]: Extracting #9: cost 0 inf + 56783 266.685 * * [simplify]: Extracting #10: cost 0 inf + 56623 266.694 * [simplify]: Simplified to (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* 2 PI) (- 1/4 (/ k 4))))) 266.694 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* 2 PI) (- 1/4 (/ k 4)))))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 266.694 * * * * [progress]: [ 366 / 417 ] simplifiying candidate # 266.695 * [simplify]: Simplifying (* (sqrt (/ 1 (sqrt k))) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2))) 266.695 * * [simplify]: iters left: 6 (14 enodes) 266.699 * * [simplify]: iters left: 5 (59 enodes) 266.711 * * [simplify]: iters left: 4 (100 enodes) 266.748 * * [simplify]: iters left: 3 (175 enodes) 266.780 * * [simplify]: iters left: 2 (324 enodes) 266.915 * * [simplify]: Extracting #0: cost 1 inf + 0 266.915 * * [simplify]: Extracting #1: cost 28 inf + 0 266.916 * * [simplify]: Extracting #2: cost 98 inf + 0 266.917 * * [simplify]: Extracting #3: cost 152 inf + 2 266.918 * * [simplify]: Extracting #4: cost 169 inf + 15 266.919 * * [simplify]: Extracting #5: cost 146 inf + 1919 266.924 * * [simplify]: Extracting #6: cost 82 inf + 9975 266.933 * * [simplify]: Extracting #7: cost 35 inf + 37381 266.941 * * [simplify]: Extracting #8: cost 3 inf + 62746 266.951 * * [simplify]: Extracting #9: cost 0 inf + 64992 266.971 * [simplify]: Simplified to (* (sqrt (/ 1 (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 8))) 266.971 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (* (sqrt (/ 1 (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 8))) (* (sqrt (/ 1 (sqrt k))) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 266.972 * [simplify]: Simplifying (* (sqrt (/ 1 (sqrt k))) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2))) 266.972 * * [simplify]: iters left: 6 (14 enodes) 266.981 * * [simplify]: iters left: 5 (59 enodes) 266.999 * * [simplify]: iters left: 4 (100 enodes) 267.018 * * [simplify]: iters left: 3 (175 enodes) 267.063 * * [simplify]: iters left: 2 (324 enodes) 267.189 * * [simplify]: Extracting #0: cost 1 inf + 0 267.190 * * [simplify]: Extracting #1: cost 28 inf + 0 267.190 * * [simplify]: Extracting #2: cost 98 inf + 0 267.191 * * [simplify]: Extracting #3: cost 152 inf + 2 267.192 * * [simplify]: Extracting #4: cost 169 inf + 15 267.194 * * [simplify]: Extracting #5: cost 146 inf + 1919 267.199 * * [simplify]: Extracting #6: cost 82 inf + 9975 267.208 * * [simplify]: Extracting #7: cost 35 inf + 37381 267.216 * * [simplify]: Extracting #8: cost 3 inf + 62746 267.226 * * [simplify]: Extracting #9: cost 0 inf + 64992 267.235 * [simplify]: Simplified to (* (sqrt (/ 1 (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 8))) 267.235 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (* (sqrt (/ 1 (sqrt k))) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2))) (* (sqrt (/ 1 (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 8)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 267.235 * * * * [progress]: [ 367 / 417 ] simplifiying candidate # 267.236 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 267.236 * * [simplify]: iters left: 6 (15 enodes) 267.242 * * [simplify]: iters left: 5 (63 enodes) 267.253 * * [simplify]: iters left: 4 (95 enodes) 267.270 * * [simplify]: iters left: 3 (147 enodes) 267.299 * * [simplify]: iters left: 2 (255 enodes) 267.385 * * [simplify]: iters left: 1 (471 enodes) 267.609 * * [simplify]: Extracting #0: cost 1 inf + 0 267.609 * * [simplify]: Extracting #1: cost 7 inf + 0 267.609 * * [simplify]: Extracting #2: cost 13 inf + 1 267.609 * * [simplify]: Extracting #3: cost 41 inf + 1 267.609 * * [simplify]: Extracting #4: cost 119 inf + 410 267.610 * * [simplify]: Extracting #5: cost 173 inf + 750 267.613 * * [simplify]: Extracting #6: cost 115 inf + 12074 267.629 * * [simplify]: Extracting #7: cost 31 inf + 34904 267.647 * * [simplify]: Extracting #8: cost 1 inf + 59007 267.666 * * [simplify]: Extracting #9: cost 0 inf + 59180 267.685 * [simplify]: Simplified to (/ (sqrt (pow (* PI 2) (- 1/4 (/ k 4)))) (sqrt (sqrt k))) 267.685 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ (sqrt (pow (* PI 2) (- 1/4 (/ k 4)))) (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 267.686 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 267.686 * * [simplify]: iters left: 6 (15 enodes) 267.696 * * [simplify]: iters left: 5 (63 enodes) 267.716 * * [simplify]: iters left: 4 (95 enodes) 267.747 * * [simplify]: iters left: 3 (147 enodes) 267.801 * * [simplify]: iters left: 2 (255 enodes) 267.868 * * [simplify]: iters left: 1 (471 enodes) 268.012 * * [simplify]: Extracting #0: cost 1 inf + 0 268.012 * * [simplify]: Extracting #1: cost 7 inf + 0 268.012 * * [simplify]: Extracting #2: cost 13 inf + 1 268.012 * * [simplify]: Extracting #3: cost 41 inf + 1 268.012 * * [simplify]: Extracting #4: cost 119 inf + 410 268.013 * * [simplify]: Extracting #5: cost 173 inf + 750 268.016 * * [simplify]: Extracting #6: cost 115 inf + 12074 268.025 * * [simplify]: Extracting #7: cost 31 inf + 34904 268.036 * * [simplify]: Extracting #8: cost 1 inf + 59007 268.055 * * [simplify]: Extracting #9: cost 0 inf + 59180 268.074 * [simplify]: Simplified to (/ (sqrt (pow (* PI 2) (- 1/4 (/ k 4)))) (sqrt (sqrt k))) 268.074 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt (pow (* PI 2) (- 1/4 (/ k 4)))) (sqrt (sqrt k)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 268.074 * * * * [progress]: [ 368 / 417 ] simplifiying candidate # 268.075 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2))) 268.075 * * [simplify]: iters left: 6 (15 enodes) 268.081 * * [simplify]: iters left: 5 (64 enodes) 268.093 * * [simplify]: iters left: 4 (100 enodes) 268.114 * * [simplify]: iters left: 3 (177 enodes) 268.189 * * [simplify]: iters left: 2 (379 enodes) 268.348 * * [simplify]: Extracting #0: cost 1 inf + 0 268.349 * * [simplify]: Extracting #1: cost 45 inf + 0 268.349 * * [simplify]: Extracting #2: cost 115 inf + 1 268.350 * * [simplify]: Extracting #3: cost 168 inf + 3 268.352 * * [simplify]: Extracting #4: cost 176 inf + 550 268.355 * * [simplify]: Extracting #5: cost 130 inf + 6470 268.364 * * [simplify]: Extracting #6: cost 64 inf + 25195 268.387 * * [simplify]: Extracting #7: cost 7 inf + 68871 268.409 * * [simplify]: Extracting #8: cost 0 inf + 75384 268.421 * [simplify]: Simplified to (/ (pow (* PI 2) (/ (- 1 k) 8)) (sqrt (sqrt k))) 268.421 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ (pow (* PI 2) (/ (- 1 k) 8)) (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 268.421 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2))) 268.421 * * [simplify]: iters left: 6 (15 enodes) 268.427 * * [simplify]: iters left: 5 (64 enodes) 268.439 * * [simplify]: iters left: 4 (100 enodes) 268.473 * * [simplify]: iters left: 3 (177 enodes) 268.548 * * [simplify]: iters left: 2 (379 enodes) 268.714 * * [simplify]: Extracting #0: cost 1 inf + 0 268.714 * * [simplify]: Extracting #1: cost 45 inf + 0 268.715 * * [simplify]: Extracting #2: cost 115 inf + 1 268.715 * * [simplify]: Extracting #3: cost 168 inf + 3 268.716 * * [simplify]: Extracting #4: cost 176 inf + 550 268.718 * * [simplify]: Extracting #5: cost 130 inf + 6470 268.723 * * [simplify]: Extracting #6: cost 64 inf + 25195 268.740 * * [simplify]: Extracting #7: cost 7 inf + 68871 268.752 * * [simplify]: Extracting #8: cost 0 inf + 75384 268.763 * [simplify]: Simplified to (/ (pow (* PI 2) (/ (- 1 k) 8)) (sqrt (sqrt k))) 268.763 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (pow (* PI 2) (/ (- 1 k) 8)) (sqrt (sqrt k)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 268.763 * * * * [progress]: [ 369 / 417 ] simplifiying candidate # 268.764 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 268.764 * * [simplify]: iters left: 6 (15 enodes) 268.771 * * [simplify]: iters left: 5 (63 enodes) 268.791 * * [simplify]: iters left: 4 (95 enodes) 268.822 * * [simplify]: iters left: 3 (147 enodes) 268.855 * * [simplify]: iters left: 2 (255 enodes) 268.953 * * [simplify]: iters left: 1 (471 enodes) 269.138 * * [simplify]: Extracting #0: cost 1 inf + 0 269.138 * * [simplify]: Extracting #1: cost 7 inf + 0 269.138 * * [simplify]: Extracting #2: cost 13 inf + 1 269.138 * * [simplify]: Extracting #3: cost 41 inf + 1 269.139 * * [simplify]: Extracting #4: cost 119 inf + 410 269.140 * * [simplify]: Extracting #5: cost 173 inf + 750 269.142 * * [simplify]: Extracting #6: cost 115 inf + 12074 269.148 * * [simplify]: Extracting #7: cost 31 inf + 34904 269.165 * * [simplify]: Extracting #8: cost 1 inf + 59007 269.184 * * [simplify]: Extracting #9: cost 0 inf + 59180 269.203 * [simplify]: Simplified to (/ (sqrt (pow (* PI 2) (- 1/4 (/ k 4)))) (sqrt (sqrt k))) 269.204 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ (sqrt (pow (* PI 2) (- 1/4 (/ k 4)))) (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 269.204 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 269.204 * * [simplify]: iters left: 6 (15 enodes) 269.215 * * [simplify]: iters left: 5 (63 enodes) 269.235 * * [simplify]: iters left: 4 (95 enodes) 269.254 * * [simplify]: iters left: 3 (147 enodes) 269.285 * * [simplify]: iters left: 2 (255 enodes) 269.352 * * [simplify]: iters left: 1 (471 enodes) 269.534 * * [simplify]: Extracting #0: cost 1 inf + 0 269.534 * * [simplify]: Extracting #1: cost 7 inf + 0 269.534 * * [simplify]: Extracting #2: cost 13 inf + 1 269.534 * * [simplify]: Extracting #3: cost 41 inf + 1 269.535 * * [simplify]: Extracting #4: cost 119 inf + 410 269.536 * * [simplify]: Extracting #5: cost 173 inf + 750 269.540 * * [simplify]: Extracting #6: cost 115 inf + 12074 269.551 * * [simplify]: Extracting #7: cost 31 inf + 34904 269.570 * * [simplify]: Extracting #8: cost 1 inf + 59007 269.579 * * [simplify]: Extracting #9: cost 0 inf + 59180 269.589 * [simplify]: Simplified to (/ (sqrt (pow (* PI 2) (- 1/4 (/ k 4)))) (sqrt (sqrt k))) 269.589 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt (pow (* PI 2) (- 1/4 (/ k 4)))) (sqrt (sqrt k)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 269.589 * * * * [progress]: [ 370 / 417 ] simplifiying candidate # 269.590 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2))) 269.590 * * [simplify]: iters left: 6 (15 enodes) 269.595 * * [simplify]: iters left: 5 (64 enodes) 269.615 * * [simplify]: iters left: 4 (100 enodes) 269.643 * * [simplify]: iters left: 3 (177 enodes) 269.692 * * [simplify]: iters left: 2 (379 enodes) 269.814 * * [simplify]: Extracting #0: cost 1 inf + 0 269.814 * * [simplify]: Extracting #1: cost 45 inf + 0 269.815 * * [simplify]: Extracting #2: cost 115 inf + 1 269.816 * * [simplify]: Extracting #3: cost 168 inf + 3 269.817 * * [simplify]: Extracting #4: cost 176 inf + 550 269.821 * * [simplify]: Extracting #5: cost 130 inf + 6470 269.830 * * [simplify]: Extracting #6: cost 64 inf + 25195 269.848 * * [simplify]: Extracting #7: cost 7 inf + 68871 269.860 * * [simplify]: Extracting #8: cost 0 inf + 75384 269.874 * [simplify]: Simplified to (/ (pow (* PI 2) (/ (- 1 k) 8)) (sqrt (sqrt k))) 269.874 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ (pow (* PI 2) (/ (- 1 k) 8)) (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 269.874 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2))) 269.875 * * [simplify]: iters left: 6 (15 enodes) 269.884 * * [simplify]: iters left: 5 (64 enodes) 269.896 * * [simplify]: iters left: 4 (100 enodes) 269.916 * * [simplify]: iters left: 3 (177 enodes) 269.963 * * [simplify]: iters left: 2 (379 enodes) 270.084 * * [simplify]: Extracting #0: cost 1 inf + 0 270.085 * * [simplify]: Extracting #1: cost 45 inf + 0 270.085 * * [simplify]: Extracting #2: cost 115 inf + 1 270.086 * * [simplify]: Extracting #3: cost 168 inf + 3 270.088 * * [simplify]: Extracting #4: cost 176 inf + 550 270.091 * * [simplify]: Extracting #5: cost 130 inf + 6470 270.101 * * [simplify]: Extracting #6: cost 64 inf + 25195 270.120 * * [simplify]: Extracting #7: cost 7 inf + 68871 270.131 * * [simplify]: Extracting #8: cost 0 inf + 75384 270.145 * [simplify]: Simplified to (/ (pow (* PI 2) (/ (- 1 k) 8)) (sqrt (sqrt k))) 270.145 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (pow (* PI 2) (/ (- 1 k) 8)) (sqrt (sqrt k)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 270.146 * * * * [progress]: [ 371 / 417 ] simplifiying candidate # 270.146 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 270.146 * * [simplify]: iters left: 6 (14 enodes) 270.155 * * [simplify]: iters left: 5 (60 enodes) 270.176 * * [simplify]: iters left: 4 (96 enodes) 270.209 * * [simplify]: iters left: 3 (158 enodes) 270.264 * * [simplify]: iters left: 2 (254 enodes) 270.354 * * [simplify]: iters left: 1 (444 enodes) 270.538 * * [simplify]: Extracting #0: cost 1 inf + 0 270.538 * * [simplify]: Extracting #1: cost 7 inf + 0 270.539 * * [simplify]: Extracting #2: cost 13 inf + 1 270.539 * * [simplify]: Extracting #3: cost 38 inf + 1 270.539 * * [simplify]: Extracting #4: cost 118 inf + 3 270.541 * * [simplify]: Extracting #5: cost 161 inf + 1001 270.546 * * [simplify]: Extracting #6: cost 89 inf + 11730 270.554 * * [simplify]: Extracting #7: cost 13 inf + 46397 270.563 * * [simplify]: Extracting #8: cost 0 inf + 56176 270.576 * * [simplify]: Extracting #9: cost 0 inf + 56096 270.594 * [simplify]: Simplified to (/ (sqrt (pow (* 2 PI) (- 1/4 (/ k 4)))) (sqrt (sqrt k))) 270.594 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ (sqrt (pow (* 2 PI) (- 1/4 (/ k 4)))) (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 270.595 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 270.595 * * [simplify]: iters left: 6 (14 enodes) 270.603 * * [simplify]: iters left: 5 (60 enodes) 270.624 * * [simplify]: iters left: 4 (96 enodes) 270.657 * * [simplify]: iters left: 3 (158 enodes) 270.688 * * [simplify]: iters left: 2 (254 enodes) 270.750 * * [simplify]: iters left: 1 (444 enodes) 271.371 * * [simplify]: Extracting #0: cost 1 inf + 0 271.371 * * [simplify]: Extracting #1: cost 7 inf + 0 271.371 * * [simplify]: Extracting #2: cost 13 inf + 1 271.371 * * [simplify]: Extracting #3: cost 38 inf + 1 271.372 * * [simplify]: Extracting #4: cost 118 inf + 3 271.373 * * [simplify]: Extracting #5: cost 161 inf + 1001 271.379 * * [simplify]: Extracting #6: cost 89 inf + 11730 271.393 * * [simplify]: Extracting #7: cost 13 inf + 46397 271.411 * * [simplify]: Extracting #8: cost 0 inf + 56176 271.434 * * [simplify]: Extracting #9: cost 0 inf + 56096 271.452 * [simplify]: Simplified to (/ (sqrt (pow (* 2 PI) (- 1/4 (/ k 4)))) (sqrt (sqrt k))) 271.452 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt (pow (* 2 PI) (- 1/4 (/ k 4)))) (sqrt (sqrt k)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 271.452 * * * * [progress]: [ 372 / 417 ] simplifiying candidate # 271.453 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2))) 271.453 * * [simplify]: iters left: 6 (14 enodes) 271.461 * * [simplify]: iters left: 5 (61 enodes) 271.483 * * [simplify]: iters left: 4 (108 enodes) 271.522 * * [simplify]: iters left: 3 (207 enodes) 271.604 * * [simplify]: iters left: 2 (388 enodes) 271.782 * * [simplify]: Extracting #0: cost 1 inf + 0 271.782 * * [simplify]: Extracting #1: cost 39 inf + 0 271.783 * * [simplify]: Extracting #2: cost 124 inf + 1 271.784 * * [simplify]: Extracting #3: cost 181 inf + 3 271.786 * * [simplify]: Extracting #4: cost 172 inf + 1626 271.795 * * [simplify]: Extracting #5: cost 110 inf + 14321 271.812 * * [simplify]: Extracting #6: cost 18 inf + 67331 271.832 * * [simplify]: Extracting #7: cost 0 inf + 79580 271.845 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/8 (/ k 8))) (sqrt (sqrt k))) 271.845 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ (pow (* 2 PI) (- 1/8 (/ k 8))) (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 271.845 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2))) 271.845 * * [simplify]: iters left: 6 (14 enodes) 271.850 * * [simplify]: iters left: 5 (61 enodes) 271.862 * * [simplify]: iters left: 4 (108 enodes) 271.885 * * [simplify]: iters left: 3 (207 enodes) 271.952 * * [simplify]: iters left: 2 (388 enodes) 272.110 * * [simplify]: Extracting #0: cost 1 inf + 0 272.110 * * [simplify]: Extracting #1: cost 39 inf + 0 272.111 * * [simplify]: Extracting #2: cost 124 inf + 1 272.112 * * [simplify]: Extracting #3: cost 181 inf + 3 272.114 * * [simplify]: Extracting #4: cost 172 inf + 1626 272.118 * * [simplify]: Extracting #5: cost 110 inf + 14321 272.126 * * [simplify]: Extracting #6: cost 18 inf + 67331 272.138 * * [simplify]: Extracting #7: cost 0 inf + 79580 272.150 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/8 (/ k 8))) (sqrt (sqrt k))) 272.150 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (* (/ 1 (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (pow (* 2 PI) (- 1/8 (/ k 8))) (sqrt (sqrt k)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 272.151 * * * * [progress]: [ 373 / 417 ] simplifiying candidate # 272.151 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 272.151 * * [simplify]: iters left: 6 (14 enodes) 272.155 * * [simplify]: iters left: 5 (60 enodes) 272.171 * * [simplify]: iters left: 4 (96 enodes) 272.208 * * [simplify]: iters left: 3 (158 enodes) 272.260 * * [simplify]: iters left: 2 (254 enodes) 272.353 * * [simplify]: iters left: 1 (444 enodes) 272.524 * * [simplify]: Extracting #0: cost 1 inf + 0 272.524 * * [simplify]: Extracting #1: cost 7 inf + 0 272.524 * * [simplify]: Extracting #2: cost 13 inf + 1 272.524 * * [simplify]: Extracting #3: cost 38 inf + 1 272.525 * * [simplify]: Extracting #4: cost 118 inf + 3 272.527 * * [simplify]: Extracting #5: cost 161 inf + 1001 272.532 * * [simplify]: Extracting #6: cost 89 inf + 11730 272.545 * * [simplify]: Extracting #7: cost 13 inf + 46397 272.564 * * [simplify]: Extracting #8: cost 0 inf + 56176 272.582 * * [simplify]: Extracting #9: cost 0 inf + 56096 272.598 * [simplify]: Simplified to (/ (sqrt (pow (* 2 PI) (- 1/4 (/ k 4)))) (sqrt (sqrt k))) 272.598 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ (sqrt (pow (* 2 PI) (- 1/4 (/ k 4)))) (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 272.598 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 272.599 * * [simplify]: iters left: 6 (14 enodes) 272.607 * * [simplify]: iters left: 5 (60 enodes) 272.627 * * [simplify]: iters left: 4 (96 enodes) 272.663 * * [simplify]: iters left: 3 (158 enodes) 272.717 * * [simplify]: iters left: 2 (254 enodes) 272.809 * * [simplify]: iters left: 1 (444 enodes) 272.992 * * [simplify]: Extracting #0: cost 1 inf + 0 272.992 * * [simplify]: Extracting #1: cost 7 inf + 0 272.992 * * [simplify]: Extracting #2: cost 13 inf + 1 272.992 * * [simplify]: Extracting #3: cost 38 inf + 1 272.993 * * [simplify]: Extracting #4: cost 118 inf + 3 272.994 * * [simplify]: Extracting #5: cost 161 inf + 1001 272.999 * * [simplify]: Extracting #6: cost 89 inf + 11730 273.013 * * [simplify]: Extracting #7: cost 13 inf + 46397 273.022 * * [simplify]: Extracting #8: cost 0 inf + 56176 273.032 * * [simplify]: Extracting #9: cost 0 inf + 56096 273.041 * [simplify]: Simplified to (/ (sqrt (pow (* 2 PI) (- 1/4 (/ k 4)))) (sqrt (sqrt k))) 273.041 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt (pow (* 2 PI) (- 1/4 (/ k 4)))) (sqrt (sqrt k)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 273.041 * * * * [progress]: [ 374 / 417 ] simplifiying candidate # 273.042 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2))) 273.042 * * [simplify]: iters left: 6 (14 enodes) 273.050 * * [simplify]: iters left: 5 (61 enodes) 273.073 * * [simplify]: iters left: 4 (108 enodes) 273.103 * * [simplify]: iters left: 3 (207 enodes) 273.174 * * [simplify]: iters left: 2 (388 enodes) 273.362 * * [simplify]: Extracting #0: cost 1 inf + 0 273.362 * * [simplify]: Extracting #1: cost 39 inf + 0 273.363 * * [simplify]: Extracting #2: cost 124 inf + 1 273.364 * * [simplify]: Extracting #3: cost 181 inf + 3 273.366 * * [simplify]: Extracting #4: cost 172 inf + 1626 273.371 * * [simplify]: Extracting #5: cost 110 inf + 14321 273.387 * * [simplify]: Extracting #6: cost 18 inf + 67331 273.412 * * [simplify]: Extracting #7: cost 0 inf + 79580 273.436 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/8 (/ k 8))) (sqrt (sqrt k))) 273.437 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ (pow (* 2 PI) (- 1/8 (/ k 8))) (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 273.437 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2))) 273.437 * * [simplify]: iters left: 6 (14 enodes) 273.445 * * [simplify]: iters left: 5 (61 enodes) 273.464 * * [simplify]: iters left: 4 (108 enodes) 273.485 * * [simplify]: iters left: 3 (207 enodes) 273.527 * * [simplify]: iters left: 2 (388 enodes) 273.664 * * [simplify]: Extracting #0: cost 1 inf + 0 273.664 * * [simplify]: Extracting #1: cost 39 inf + 0 273.665 * * [simplify]: Extracting #2: cost 124 inf + 1 273.665 * * [simplify]: Extracting #3: cost 181 inf + 3 273.666 * * [simplify]: Extracting #4: cost 172 inf + 1626 273.669 * * [simplify]: Extracting #5: cost 110 inf + 14321 273.677 * * [simplify]: Extracting #6: cost 18 inf + 67331 273.692 * * [simplify]: Extracting #7: cost 0 inf + 79580 273.712 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/8 (/ k 8))) (sqrt (sqrt k))) 273.712 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (* (/ 1 (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (pow (* 2 PI) (- 1/8 (/ k 8))) (sqrt (sqrt k)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 273.713 * * * * [progress]: [ 375 / 417 ] simplifiying candidate # 273.713 * [simplify]: Simplifying (pow PI (/ (/ (- 1 k) 2) 2)) 273.713 * * [simplify]: iters left: 6 (8 enodes) 273.719 * * [simplify]: iters left: 5 (38 enodes) 273.727 * * [simplify]: iters left: 4 (66 enodes) 273.740 * * [simplify]: iters left: 3 (110 enodes) 273.773 * * [simplify]: iters left: 2 (200 enodes) 273.858 * * [simplify]: iters left: 1 (403 enodes) 274.051 * * [simplify]: Extracting #0: cost 1 inf + 0 274.051 * * [simplify]: Extracting #1: cost 26 inf + 0 274.051 * * [simplify]: Extracting #2: cost 100 inf + 2 274.053 * * [simplify]: Extracting #3: cost 164 inf + 10 274.054 * * [simplify]: Extracting #4: cost 157 inf + 1472 274.061 * * [simplify]: Extracting #5: cost 64 inf + 19273 274.076 * * [simplify]: Extracting #6: cost 8 inf + 47461 274.084 * * [simplify]: Extracting #7: cost 0 inf + 52807 274.093 * [simplify]: Simplified to (pow PI (- 1/4 (/ k 4))) 274.093 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (* (/ 1 (sqrt k)) (pow 2 (/ (/ (- 1 k) 2) 2))) (pow PI (- 1/4 (/ k 4)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 274.093 * * * * [progress]: [ 376 / 417 ] simplifiying candidate # 274.093 * [simplify]: Simplifying (cbrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 274.093 * * [simplify]: iters left: 6 (10 enodes) 274.097 * * [simplify]: iters left: 5 (45 enodes) 274.105 * * [simplify]: iters left: 4 (70 enodes) 274.124 * * [simplify]: iters left: 3 (113 enodes) 274.164 * * [simplify]: iters left: 2 (216 enodes) 274.225 * * [simplify]: iters left: 1 (429 enodes) 274.460 * * [simplify]: Extracting #0: cost 1 inf + 0 274.460 * * [simplify]: Extracting #1: cost 3 inf + 0 274.460 * * [simplify]: Extracting #2: cost 27 inf + 0 274.461 * * [simplify]: Extracting #3: cost 103 inf + 1 274.462 * * [simplify]: Extracting #4: cost 160 inf + 52 274.464 * * [simplify]: Extracting #5: cost 168 inf + 554 274.471 * * [simplify]: Extracting #6: cost 81 inf + 18012 274.494 * * [simplify]: Extracting #7: cost 6 inf + 47272 274.518 * * [simplify]: Extracting #8: cost 0 inf + 49013 274.533 * * [simplify]: Extracting #9: cost 0 inf + 48334 274.549 * [simplify]: Simplified to (cbrt (pow (* 2 PI) (/ (- 1 k) 4))) 274.549 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (* (/ 1 (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (cbrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))))) (cbrt (pow (* 2 PI) (/ (- 1 k) 4)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 274.549 * * * * [progress]: [ 377 / 417 ] simplifiying candidate # 274.549 * [simplify]: Simplifying (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 274.549 * * [simplify]: iters left: 6 (10 enodes) 274.553 * * [simplify]: iters left: 5 (45 enodes) 274.566 * * [simplify]: iters left: 4 (71 enodes) 274.582 * * [simplify]: iters left: 3 (114 enodes) 274.604 * * [simplify]: iters left: 2 (215 enodes) 274.652 * * [simplify]: iters left: 1 (432 enodes) 274.836 * * [simplify]: Extracting #0: cost 1 inf + 0 274.836 * * [simplify]: Extracting #1: cost 4 inf + 0 274.837 * * [simplify]: Extracting #2: cost 29 inf + 0 274.837 * * [simplify]: Extracting #3: cost 120 inf + 1 274.839 * * [simplify]: Extracting #4: cost 164 inf + 95 274.841 * * [simplify]: Extracting #5: cost 168 inf + 967 274.846 * * [simplify]: Extracting #6: cost 86 inf + 13163 274.862 * * [simplify]: Extracting #7: cost 11 inf + 50411 274.882 * * [simplify]: Extracting #8: cost 0 inf + 58844 274.901 * [simplify]: Simplified to (sqrt (pow (* 2 PI) (/ (- 1 k) 4))) 274.901 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (* (/ 1 (sqrt k)) (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (sqrt (pow (* 2 PI) (/ (- 1 k) 4)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 274.901 * * * * [progress]: [ 378 / 417 ] simplifiying candidate # 274.901 * [simplify]: Simplifying (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) 274.901 * * [simplify]: iters left: 6 (9 enodes) 274.908 * * [simplify]: iters left: 5 (42 enodes) 274.925 * * [simplify]: iters left: 4 (70 enodes) 274.938 * * [simplify]: iters left: 3 (117 enodes) 274.968 * * [simplify]: iters left: 2 (232 enodes) 275.045 * * [simplify]: iters left: 1 (452 enodes) 275.295 * * [simplify]: Extracting #0: cost 1 inf + 0 275.296 * * [simplify]: Extracting #1: cost 24 inf + 0 275.296 * * [simplify]: Extracting #2: cost 94 inf + 1 275.297 * * [simplify]: Extracting #3: cost 164 inf + 94 275.299 * * [simplify]: Extracting #4: cost 174 inf + 187 275.303 * * [simplify]: Extracting #5: cost 104 inf + 8023 275.309 * * [simplify]: Extracting #6: cost 33 inf + 28456 275.317 * * [simplify]: Extracting #7: cost 0 inf + 52800 275.327 * * [simplify]: Extracting #8: cost 0 inf + 51842 275.336 * [simplify]: Simplified to (pow (* 2 PI) (- 1/4 (/ k 4))) 275.336 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (* (/ 1 (sqrt k)) 1) (pow (* 2 PI) (- 1/4 (/ k 4)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 275.336 * * * * [progress]: [ 379 / 417 ] simplifiying candidate # 275.336 * [simplify]: Simplifying (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2)) 275.336 * * [simplify]: iters left: 6 (10 enodes) 275.348 * * [simplify]: iters left: 5 (46 enodes) 275.365 * * [simplify]: iters left: 4 (76 enodes) 275.392 * * [simplify]: iters left: 3 (137 enodes) 275.435 * * [simplify]: iters left: 2 (275 enodes) 275.518 * * [simplify]: Extracting #0: cost 1 inf + 0 275.518 * * [simplify]: Extracting #1: cost 12 inf + 0 275.519 * * [simplify]: Extracting #2: cost 63 inf + 1 275.519 * * [simplify]: Extracting #3: cost 110 inf + 10 275.521 * * [simplify]: Extracting #4: cost 99 inf + 1259 275.525 * * [simplify]: Extracting #5: cost 34 inf + 9762 275.531 * * [simplify]: Extracting #6: cost 6 inf + 22531 275.540 * * [simplify]: Extracting #7: cost 0 inf + 26696 275.544 * [simplify]: Simplified to (pow (* 2 PI) (/ (- 1 k) 8)) 275.544 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2))) (pow (* 2 PI) (/ (- 1 k) 8))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 275.544 * * * * [progress]: [ 380 / 417 ] simplifiying candidate # 275.545 * [simplify]: Simplifying (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) 275.545 * * [simplify]: iters left: 6 (6 enodes) 275.546 * * [simplify]: iters left: 5 (20 enodes) 275.550 * * [simplify]: iters left: 4 (22 enodes) 275.553 * * [simplify]: Extracting #0: cost 1 inf + 0 275.554 * * [simplify]: Extracting #1: cost 3 inf + 0 275.554 * * [simplify]: Extracting #2: cost 5 inf + 0 275.554 * * [simplify]: Extracting #3: cost 8 inf + 0 275.554 * * [simplify]: Extracting #4: cost 9 inf + 1 275.554 * * [simplify]: Extracting #5: cost 8 inf + 2 275.554 * * [simplify]: Extracting #6: cost 1 inf + 774 275.554 * * [simplify]: Extracting #7: cost 0 inf + 976 275.554 * [simplify]: Simplified to (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) 275.554 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (* (cbrt (/ 1 (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 275.554 * * * * [progress]: [ 381 / 417 ] simplifiying candidate # 275.554 * [simplify]: Simplifying (sqrt (/ 1 (sqrt k))) 275.555 * * [simplify]: iters left: 4 (5 enodes) 275.556 * * [simplify]: iters left: 3 (17 enodes) 275.559 * * [simplify]: iters left: 2 (19 enodes) 275.562 * * [simplify]: Extracting #0: cost 1 inf + 0 275.562 * * [simplify]: Extracting #1: cost 3 inf + 0 275.562 * * [simplify]: Extracting #2: cost 6 inf + 0 275.563 * * [simplify]: Extracting #3: cost 7 inf + 1 275.563 * * [simplify]: Extracting #4: cost 0 inf + 492 275.563 * [simplify]: Simplified to (sqrt (/ 1 (sqrt k))) 275.563 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 275.563 * * * * [progress]: [ 382 / 417 ] simplifiying candidate # 275.563 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 275.563 * * [simplify]: iters left: 6 (8 enodes) 275.566 * * [simplify]: iters left: 5 (32 enodes) 275.575 * * [simplify]: iters left: 4 (48 enodes) 275.591 * * [simplify]: iters left: 3 (76 enodes) 275.614 * * [simplify]: iters left: 2 (81 enodes) 275.625 * * [simplify]: Extracting #0: cost 1 inf + 0 275.626 * * [simplify]: Extracting #1: cost 6 inf + 0 275.626 * * [simplify]: Extracting #2: cost 9 inf + 1 275.626 * * [simplify]: Extracting #3: cost 11 inf + 1 275.626 * * [simplify]: Extracting #4: cost 2 inf + 1052 275.626 * * [simplify]: Extracting #5: cost 0 inf + 1376 275.626 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 275.626 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ (cbrt 1) (cbrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 275.627 * * * * [progress]: [ 383 / 417 ] simplifiying candidate # 275.627 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) 275.627 * * [simplify]: iters left: 6 (8 enodes) 275.630 * * [simplify]: iters left: 5 (29 enodes) 275.635 * * [simplify]: iters left: 4 (31 enodes) 275.639 * * [simplify]: Extracting #0: cost 1 inf + 0 275.639 * * [simplify]: Extracting #1: cost 4 inf + 0 275.639 * * [simplify]: Extracting #2: cost 6 inf + 1 275.639 * * [simplify]: Extracting #3: cost 9 inf + 1 275.639 * * [simplify]: Extracting #4: cost 8 inf + 2 275.639 * * [simplify]: Extracting #5: cost 2 inf + 729 275.639 * * [simplify]: Extracting #6: cost 0 inf + 972 275.639 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 275.639 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (* (/ (cbrt 1) (sqrt (cbrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 275.640 * * * * [progress]: [ 384 / 417 ] simplifiying candidate # 275.640 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 275.640 * * [simplify]: iters left: 5 (7 enodes) 275.642 * * [simplify]: iters left: 4 (25 enodes) 275.647 * * [simplify]: iters left: 3 (27 enodes) 275.650 * * [simplify]: Extracting #0: cost 1 inf + 0 275.650 * * [simplify]: Extracting #1: cost 4 inf + 0 275.650 * * [simplify]: Extracting #2: cost 5 inf + 1 275.650 * * [simplify]: Extracting #3: cost 7 inf + 1 275.650 * * [simplify]: Extracting #4: cost 6 inf + 2 275.650 * * [simplify]: Extracting #5: cost 2 inf + 368 275.651 * * [simplify]: Extracting #6: cost 0 inf + 490 275.651 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 275.651 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (* (/ (cbrt 1) (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 275.651 * * * * [progress]: [ 385 / 417 ] simplifiying candidate # 275.651 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) 275.651 * * [simplify]: iters left: 5 (5 enodes) 275.657 * * [simplify]: iters left: 4 (19 enodes) 275.661 * * [simplify]: iters left: 3 (21 enodes) 275.666 * * [simplify]: Extracting #0: cost 1 inf + 0 275.666 * * [simplify]: Extracting #1: cost 0 inf + 1 275.666 * [simplify]: Simplified to 1 275.666 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (* (/ (cbrt 1) (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 275.666 * * * * [progress]: [ 386 / 417 ] simplifiying candidate # 275.666 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 275.666 * * [simplify]: iters left: 5 (7 enodes) 275.671 * * [simplify]: iters left: 4 (25 enodes) 275.679 * * [simplify]: iters left: 3 (27 enodes) 275.686 * * [simplify]: Extracting #0: cost 1 inf + 0 275.686 * * [simplify]: Extracting #1: cost 4 inf + 0 275.686 * * [simplify]: Extracting #2: cost 5 inf + 1 275.686 * * [simplify]: Extracting #3: cost 7 inf + 1 275.686 * * [simplify]: Extracting #4: cost 6 inf + 2 275.687 * * [simplify]: Extracting #5: cost 2 inf + 368 275.687 * * [simplify]: Extracting #6: cost 0 inf + 490 275.687 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 275.687 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (* (/ (cbrt 1) (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 275.687 * * * * [progress]: [ 387 / 417 ] simplifiying candidate # 275.688 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) 1) 275.688 * * [simplify]: iters left: 5 (4 enodes) 275.698 * * [simplify]: iters left: 4 (14 enodes) 275.701 * * [simplify]: iters left: 3 (16 enodes) 275.704 * * [simplify]: Extracting #0: cost 1 inf + 0 275.704 * * [simplify]: Extracting #1: cost 0 inf + 1 275.704 * [simplify]: Simplified to 1 275.705 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (* (/ (cbrt 1) (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 275.705 * * * * [progress]: [ 388 / 417 ] simplifiying candidate # 275.705 * [simplify]: Simplifying (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 275.705 * * [simplify]: iters left: 6 (7 enodes) 275.710 * * [simplify]: iters left: 5 (25 enodes) 275.717 * * [simplify]: iters left: 4 (32 enodes) 275.727 * * [simplify]: iters left: 3 (34 enodes) 275.735 * * [simplify]: Extracting #0: cost 1 inf + 0 275.735 * * [simplify]: Extracting #1: cost 7 inf + 0 275.735 * * [simplify]: Extracting #2: cost 11 inf + 1 275.736 * * [simplify]: Extracting #3: cost 13 inf + 1 275.736 * * [simplify]: Extracting #4: cost 10 inf + 84 275.736 * * [simplify]: Extracting #5: cost 4 inf + 1014 275.736 * * [simplify]: Extracting #6: cost 1 inf + 1498 275.737 * * [simplify]: Extracting #7: cost 0 inf + 1700 275.737 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 275.737 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (* (/ (sqrt 1) (cbrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 275.737 * * * * [progress]: [ 389 / 417 ] simplifiying candidate # 275.737 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) 275.737 * * [simplify]: iters left: 6 (7 enodes) 275.740 * * [simplify]: iters left: 5 (24 enodes) 275.744 * * [simplify]: iters left: 4 (26 enodes) 275.747 * * [simplify]: Extracting #0: cost 1 inf + 0 275.747 * * [simplify]: Extracting #1: cost 4 inf + 0 275.747 * * [simplify]: Extracting #2: cost 6 inf + 1 275.747 * * [simplify]: Extracting #3: cost 9 inf + 1 275.747 * * [simplify]: Extracting #4: cost 8 inf + 2 275.747 * * [simplify]: Extracting #5: cost 2 inf + 730 275.748 * * [simplify]: Extracting #6: cost 0 inf + 972 275.748 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 275.748 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (* (/ (sqrt 1) (sqrt (cbrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 275.748 * * * * [progress]: [ 390 / 417 ] simplifiying candidate # 275.748 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 275.748 * * [simplify]: iters left: 4 (6 enodes) 275.750 * * [simplify]: iters left: 3 (20 enodes) 275.753 * * [simplify]: iters left: 2 (22 enodes) 275.756 * * [simplify]: Extracting #0: cost 1 inf + 0 275.756 * * [simplify]: Extracting #1: cost 4 inf + 0 275.756 * * [simplify]: Extracting #2: cost 5 inf + 1 275.756 * * [simplify]: Extracting #3: cost 7 inf + 1 275.756 * * [simplify]: Extracting #4: cost 1 inf + 368 275.756 * * [simplify]: Extracting #5: cost 0 inf + 490 275.757 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 275.757 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 275.757 * * * * [progress]: [ 391 / 417 ] simplifiying candidate # 275.757 * [simplify]: Simplifying (/ (sqrt 1) (sqrt 1)) 275.757 * * [simplify]: iters left: 3 (3 enodes) 275.759 * * [simplify]: iters left: 2 (9 enodes) 275.760 * * [simplify]: iters left: 1 (11 enodes) 275.763 * * [simplify]: Extracting #0: cost 1 inf + 0 275.763 * * [simplify]: Extracting #1: cost 0 inf + 1 275.763 * [simplify]: Simplified to 1 275.763 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (* (/ (sqrt 1) (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 275.763 * * * * [progress]: [ 392 / 417 ] simplifiying candidate # 275.763 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 275.763 * * [simplify]: iters left: 4 (6 enodes) 275.767 * * [simplify]: iters left: 3 (20 enodes) 275.773 * * [simplify]: iters left: 2 (22 enodes) 275.779 * * [simplify]: Extracting #0: cost 1 inf + 0 275.779 * * [simplify]: Extracting #1: cost 4 inf + 0 275.779 * * [simplify]: Extracting #2: cost 5 inf + 1 275.779 * * [simplify]: Extracting #3: cost 7 inf + 1 275.780 * * [simplify]: Extracting #4: cost 1 inf + 368 275.780 * * [simplify]: Extracting #5: cost 0 inf + 490 275.780 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 275.780 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 275.780 * * * * [progress]: [ 393 / 417 ] simplifiying candidate # 275.781 * [simplify]: Simplifying (/ (sqrt 1) 1) 275.781 * * [simplify]: iters left: 3 (3 enodes) 275.784 * * [simplify]: iters left: 2 (9 enodes) 275.786 * * [simplify]: iters left: 1 (11 enodes) 275.789 * * [simplify]: Extracting #0: cost 1 inf + 0 275.789 * * [simplify]: Extracting #1: cost 0 inf + 1 275.789 * [simplify]: Simplified to 1 275.789 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (* (/ (sqrt 1) (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 275.789 * * * * [progress]: [ 394 / 417 ] simplifiying candidate # 275.790 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 275.790 * * [simplify]: iters left: 6 (6 enodes) 275.793 * * [simplify]: iters left: 5 (22 enodes) 275.800 * * [simplify]: iters left: 4 (26 enodes) 275.807 * * [simplify]: Extracting #0: cost 1 inf + 0 275.807 * * [simplify]: Extracting #1: cost 6 inf + 0 275.808 * * [simplify]: Extracting #2: cost 9 inf + 1 275.808 * * [simplify]: Extracting #3: cost 11 inf + 1 275.808 * * [simplify]: Extracting #4: cost 8 inf + 84 275.808 * * [simplify]: Extracting #5: cost 2 inf + 1013 275.808 * * [simplify]: Extracting #6: cost 0 inf + 1376 275.809 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 275.809 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ 1 (cbrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 275.809 * * * * [progress]: [ 395 / 417 ] simplifiying candidate # 275.809 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt k) (cbrt k)))) 275.809 * * [simplify]: iters left: 6 (6 enodes) 275.812 * * [simplify]: iters left: 5 (21 enodes) 275.819 * * [simplify]: iters left: 4 (23 enodes) 275.825 * * [simplify]: Extracting #0: cost 1 inf + 0 275.825 * * [simplify]: Extracting #1: cost 4 inf + 0 275.825 * * [simplify]: Extracting #2: cost 6 inf + 1 275.825 * * [simplify]: Extracting #3: cost 9 inf + 1 275.825 * * [simplify]: Extracting #4: cost 8 inf + 2 275.825 * * [simplify]: Extracting #5: cost 1 inf + 810 275.825 * * [simplify]: Extracting #6: cost 0 inf + 972 275.826 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 275.826 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (* (/ 1 (sqrt (cbrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 275.826 * * * * [progress]: [ 396 / 417 ] simplifiying candidate # 275.826 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 275.826 * * [simplify]: iters left: 4 (5 enodes) 275.827 * * [simplify]: iters left: 3 (17 enodes) 275.832 * * [simplify]: iters left: 2 (19 enodes) 275.835 * * [simplify]: Extracting #0: cost 1 inf + 0 275.835 * * [simplify]: Extracting #1: cost 4 inf + 0 275.835 * * [simplify]: Extracting #2: cost 5 inf + 1 275.835 * * [simplify]: Extracting #3: cost 7 inf + 1 275.835 * * [simplify]: Extracting #4: cost 0 inf + 490 275.835 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 275.835 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 275.835 * * * * [progress]: [ 397 / 417 ] simplifiying candidate # 275.836 * [simplify]: Simplifying (/ 1 (sqrt 1)) 275.836 * * [simplify]: iters left: 3 (3 enodes) 275.839 * * [simplify]: iters left: 2 (11 enodes) 275.841 * * [simplify]: iters left: 1 (13 enodes) 275.843 * * [simplify]: Extracting #0: cost 1 inf + 0 275.843 * * [simplify]: Extracting #1: cost 0 inf + 1 275.843 * [simplify]: Simplified to 1 275.843 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 275.843 * * * * [progress]: [ 398 / 417 ] simplifiying candidate # 275.843 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 275.843 * * [simplify]: iters left: 4 (5 enodes) 275.844 * * [simplify]: iters left: 3 (17 enodes) 275.847 * * [simplify]: iters left: 2 (19 enodes) 275.850 * * [simplify]: Extracting #0: cost 1 inf + 0 275.850 * * [simplify]: Extracting #1: cost 4 inf + 0 275.850 * * [simplify]: Extracting #2: cost 5 inf + 1 275.850 * * [simplify]: Extracting #3: cost 7 inf + 1 275.851 * * [simplify]: Extracting #4: cost 0 inf + 490 275.851 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 275.851 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 275.851 * * * * [progress]: [ 399 / 417 ] simplifiying candidate # 275.851 * [simplify]: Simplifying (/ 1 1) 275.851 * * [simplify]: iters left: 2 (2 enodes) 275.852 * * [simplify]: iters left: 1 (6 enodes) 275.853 * * [simplify]: Extracting #0: cost 1 inf + 0 275.853 * * [simplify]: Extracting #1: cost 0 inf + 1 275.853 * [simplify]: Simplified to 1 275.853 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 275.853 * * * * [progress]: [ 400 / 417 ] simplifiying candidate # 275.853 * * * * [progress]: [ 401 / 417 ] simplifiying candidate # 275.853 * * * * [progress]: [ 402 / 417 ] simplifiying candidate # 275.853 * [simplify]: Simplifying (pow (* 2 PI) (/ (/ k 2) 2)) 275.853 * * [simplify]: iters left: 5 (7 enodes) 275.856 * * [simplify]: iters left: 4 (28 enodes) 275.860 * * [simplify]: iters left: 3 (43 enodes) 275.867 * * [simplify]: iters left: 2 (74 enodes) 275.882 * * [simplify]: iters left: 1 (151 enodes) 275.922 * * [simplify]: Extracting #0: cost 1 inf + 0 275.922 * * [simplify]: Extracting #1: cost 12 inf + 0 275.922 * * [simplify]: Extracting #2: cost 54 inf + 1 275.922 * * [simplify]: Extracting #3: cost 71 inf + 135 275.923 * * [simplify]: Extracting #4: cost 32 inf + 4638 275.925 * * [simplify]: Extracting #5: cost 6 inf + 15744 275.927 * * [simplify]: Extracting #6: cost 0 inf + 18744 275.930 * * [simplify]: Extracting #7: cost 0 inf + 18624 275.932 * [simplify]: Simplified to (pow (* 2 PI) (/ k 4)) 275.932 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ 1 2) 2))) (pow (* 2 PI) (/ k 4))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 275.932 * * * * [progress]: [ 403 / 417 ] simplifiying candidate # 275.933 * [simplify]: Simplifying (* 1 (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 275.933 * * [simplify]: iters left: 6 (10 enodes) 275.939 * * [simplify]: iters left: 5 (44 enodes) 275.955 * * [simplify]: iters left: 4 (75 enodes) 275.980 * * [simplify]: iters left: 3 (120 enodes) 276.025 * * [simplify]: iters left: 2 (223 enodes) 276.078 * * [simplify]: iters left: 1 (432 enodes) 276.271 * * [simplify]: Extracting #0: cost 1 inf + 0 276.271 * * [simplify]: Extracting #1: cost 20 inf + 0 276.272 * * [simplify]: Extracting #2: cost 88 inf + 2 276.273 * * [simplify]: Extracting #3: cost 154 inf + 9 276.274 * * [simplify]: Extracting #4: cost 149 inf + 3631 276.278 * * [simplify]: Extracting #5: cost 44 inf + 29461 276.287 * * [simplify]: Extracting #6: cost 0 inf + 45810 276.297 * * [simplify]: Extracting #7: cost 0 inf + 45271 276.307 * * [simplify]: Extracting #8: cost 0 inf + 45064 276.319 * * [simplify]: Extracting #9: cost 0 inf + 44940 276.336 * [simplify]: Simplified to (pow (* PI 2) (/ (- 1 k) 4)) 276.336 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (/ (pow (* PI 2) (/ (- 1 k) 4)) (sqrt k)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 276.337 * * * * [progress]: [ 404 / 417 ] simplifiying candidate #real (real->posit16 (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2)))))> 276.337 * * * * [progress]: [ 405 / 417 ] simplifiying candidate # 276.337 * * * * [progress]: [ 406 / 417 ] simplifiying candidate # 276.337 * [simplify]: Simplifying (- (+ (pow n 1/2) (* 1/8 (* (sqrt n) (* (pow (log n) 2) (pow k 2))))) (* 1/2 (* (sqrt n) (* (log n) k)))) 276.337 * * [simplify]: iters left: 6 (18 enodes) 276.347 * * [simplify]: iters left: 5 (83 enodes) 276.365 * * [simplify]: iters left: 4 (209 enodes) 276.442 * * [simplify]: Extracting #0: cost 1 inf + 0 276.442 * * [simplify]: Extracting #1: cost 10 inf + 0 276.442 * * [simplify]: Extracting #2: cost 88 inf + 0 276.443 * * [simplify]: Extracting #3: cost 161 inf + 5 276.444 * * [simplify]: Extracting #4: cost 138 inf + 3919 276.448 * * [simplify]: Extracting #5: cost 21 inf + 35430 276.459 * * [simplify]: Extracting #6: cost 0 inf + 39667 276.470 * * [simplify]: Extracting #7: cost 0 inf + 39427 276.482 * [simplify]: Simplified to (+ (sqrt n) (* (sqrt n) (- (* (* 1/8 (* k (log n))) (* k (log n))) (* 1/2 (* k (log n)))))) 276.482 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (+ (sqrt n) (* (sqrt n) (- (* (* 1/8 (* k (log n))) (* k (log n))) (* 1/2 (* k (log n))))))))) 276.482 * * * * [progress]: [ 407 / 417 ] simplifiying candidate # 276.482 * [simplify]: Simplifying (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) 276.483 * * [simplify]: iters left: 6 (10 enodes) 276.489 * * [simplify]: iters left: 5 (44 enodes) 276.505 * * [simplify]: iters left: 4 (87 enodes) 276.543 * * [simplify]: iters left: 3 (209 enodes) 276.628 * * [simplify]: Extracting #0: cost 1 inf + 0 276.629 * * [simplify]: Extracting #1: cost 32 inf + 0 276.629 * * [simplify]: Extracting #2: cost 114 inf + 73 276.629 * * [simplify]: Extracting #3: cost 146 inf + 1532 276.632 * * [simplify]: Extracting #4: cost 64 inf + 14982 276.636 * * [simplify]: Extracting #5: cost 4 inf + 29158 276.641 * * [simplify]: Extracting #6: cost 0 inf + 31027 276.652 * * [simplify]: Extracting #7: cost 0 inf + 30987 276.662 * [simplify]: Simplified to (exp (* (* (log n) 1/2) (- 1 k))) 276.662 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (exp (* (* (log n) 1/2) (- 1 k)))))) 276.662 * * * * [progress]: [ 408 / 417 ] simplifiying candidate # 276.663 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) 276.663 * * [simplify]: iters left: 6 (13 enodes) 276.671 * * [simplify]: iters left: 5 (53 enodes) 276.692 * * [simplify]: iters left: 4 (109 enodes) 276.735 * * [simplify]: iters left: 3 (305 enodes) 276.882 * * [simplify]: Extracting #0: cost 1 inf + 0 276.882 * * [simplify]: Extracting #1: cost 34 inf + 0 276.883 * * [simplify]: Extracting #2: cost 135 inf + 73 276.885 * * [simplify]: Extracting #3: cost 197 inf + 2363 276.894 * * [simplify]: Extracting #4: cost 91 inf + 20834 276.905 * * [simplify]: Extracting #5: cost 9 inf + 40850 276.918 * * [simplify]: Extracting #6: cost 0 inf + 43041 276.931 * * [simplify]: Extracting #7: cost 0 inf + 43035 276.944 * [simplify]: Simplified to (sqrt (exp (- (log n) (* k (log n))))) 276.944 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (sqrt (exp (- (log n) (* k (log n)))))))) 276.944 * * * * [progress]: [ 409 / 417 ] simplifiying candidate # 276.944 * [simplify]: Simplifying (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 276.944 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* +nan.0 (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 276.945 * * * * [progress]: [ 410 / 417 ] simplifiying candidate # 276.945 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 276.945 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* +nan.0 (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 276.945 * * * * [progress]: [ 411 / 417 ] simplifiying candidate # 276.945 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 276.946 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* +nan.0 (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 276.946 * * * * [progress]: [ 412 / 417 ] simplifiying candidate # 276.946 * [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))))))))))))) 276.946 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 276.946 * * * * [progress]: [ 413 / 417 ] simplifiying candidate # 276.947 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) 2)) k)) (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) 2)) (pow k 2))) (- (* +nan.0 (/ (* (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) 2)) (pow k 3)))))))) 276.947 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 276.947 * * * * [progress]: [ 414 / 417 ] simplifiying candidate # 276.947 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) (pow (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) (pow (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) 2)) k)) (- (* +nan.0 (* (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) (pow (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) 2)))))))) 276.947 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 276.947 * * * * [progress]: [ 415 / 417 ] simplifiying candidate # 276.948 * [simplify]: Simplifying (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) (* k (log (* 2 PI))))) (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) k)) (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) (pow k 2))) (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) (* (pow (log (* 2 PI)) 2) (pow k 2)))) (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) (* (log (* 2 PI)) (pow k 2)))) (- (* +nan.0 (pow (* PI 2) 1/4))))))))))))) 276.948 * [simplify]: Simplified (2 1) to (λ (k n) (* +nan.0 (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 276.948 * * * * [progress]: [ 416 / 417 ] simplifiying candidate # 276.948 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) k)) (- (* +nan.0 (/ (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) (pow k 2)))))))) 276.948 * [simplify]: Simplified (2 1) to (λ (k n) (* +nan.0 (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 276.948 * * * * [progress]: [ 417 / 417 ] simplifiying candidate # 276.949 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) (pow k 2))) (- (* +nan.0 (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))))))))) 276.949 * [simplify]: Simplified (2 1) to (λ (k n) (* +nan.0 (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 276.949 * * * [progress]: adding candidates to table 282.901 * [progress]: [Phase 3 of 3] Extracting. 282.901 * * [regime]: Finding splitpoints for: (# # # # # # #) 282.904 * * * [regime-changes]: Trying 3 branch expressions: (n (* (* 2 PI) n) k) 282.904 * * * * [regimes]: Trying to branch on n from (# # # # # # #) 282.959 * * * * [regimes]: Trying to branch on (* (* 2 PI) n) from (# # # # # # #) 283.038 * * * * [regimes]: Trying to branch on k from (# # # # # # #) 283.114 * * * [regime]: Found split indices: #