0.002 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.262 * * * [progress]: [2/2] Setting up program. 0.268 * [progress]: [Phase 2 of 3] Improving. 0.268 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.269 * [simplify]: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 0.269 * * [simplify]: iters left: 6 (13 enodes) 0.276 * * [simplify]: iters left: 5 (57 enodes) 0.287 * * [simplify]: iters left: 4 (96 enodes) 0.303 * * [simplify]: iters left: 3 (172 enodes) 0.351 * * [simplify]: iters left: 2 (338 enodes) 0.466 * * [simplify]: Extracting #0: cost 1 inf + 0 0.466 * * [simplify]: Extracting #1: cost 41 inf + 0 0.467 * * [simplify]: Extracting #2: cost 120 inf + 1 0.468 * * [simplify]: Extracting #3: cost 166 inf + 127 0.470 * * [simplify]: Extracting #4: cost 163 inf + 676 0.473 * * [simplify]: Extracting #5: cost 119 inf + 8991 0.482 * * [simplify]: Extracting #6: cost 63 inf + 29786 0.503 * * [simplify]: Extracting #7: cost 6 inf + 73494 0.532 * * [simplify]: Extracting #8: cost 0 inf + 78104 0.556 * [simplify]: Simplified to (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 0.556 * [simplify]: Simplified (2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 0.562 * * [progress]: iteration 1 / 4 0.562 * * * [progress]: picking best candidate 0.568 * * * * [pick]: Picked # 0.568 * * * [progress]: localizing error 0.589 * * * [progress]: generating rewritten candidates 0.589 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.603 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.630 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.642 * * * [progress]: generating series expansions 0.642 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.643 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) 0.643 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0 0.643 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 0.643 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 0.643 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 0.643 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 0.643 * [taylor]: Taking taylor expansion of 1/2 in k 0.643 * [backup-simplify]: Simplify 1/2 into 1/2 0.643 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.643 * [taylor]: Taking taylor expansion of 1 in k 0.643 * [backup-simplify]: Simplify 1 into 1 0.643 * [taylor]: Taking taylor expansion of k in k 0.643 * [backup-simplify]: Simplify 0 into 0 0.643 * [backup-simplify]: Simplify 1 into 1 0.643 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 0.643 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 0.643 * [taylor]: Taking taylor expansion of 2 in k 0.643 * [backup-simplify]: Simplify 2 into 2 0.643 * [taylor]: Taking taylor expansion of (* n PI) in k 0.643 * [taylor]: Taking taylor expansion of n in k 0.643 * [backup-simplify]: Simplify n into n 0.643 * [taylor]: Taking taylor expansion of PI in k 0.643 * [backup-simplify]: Simplify PI into PI 0.643 * [backup-simplify]: Simplify (* n PI) into (* n PI) 0.643 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 0.643 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 0.643 * [backup-simplify]: Simplify (- 0) into 0 0.644 * [backup-simplify]: Simplify (+ 1 0) into 1 0.644 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.644 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 0.644 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 0.644 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.644 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.644 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.644 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.644 * [taylor]: Taking taylor expansion of 1/2 in n 0.644 * [backup-simplify]: Simplify 1/2 into 1/2 0.644 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.644 * [taylor]: Taking taylor expansion of 1 in n 0.644 * [backup-simplify]: Simplify 1 into 1 0.645 * [taylor]: Taking taylor expansion of k in n 0.645 * [backup-simplify]: Simplify k into k 0.645 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.645 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.645 * [taylor]: Taking taylor expansion of 2 in n 0.645 * [backup-simplify]: Simplify 2 into 2 0.645 * [taylor]: Taking taylor expansion of (* n PI) in n 0.645 * [taylor]: Taking taylor expansion of n in n 0.645 * [backup-simplify]: Simplify 0 into 0 0.645 * [backup-simplify]: Simplify 1 into 1 0.645 * [taylor]: Taking taylor expansion of PI in n 0.645 * [backup-simplify]: Simplify PI into PI 0.645 * [backup-simplify]: Simplify (* 0 PI) into 0 0.645 * [backup-simplify]: Simplify (* 2 0) into 0 0.646 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.647 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.648 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.648 * [backup-simplify]: Simplify (- k) into (- k) 0.648 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.648 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 0.649 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.649 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 0.650 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0.650 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.650 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.650 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.650 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.650 * [taylor]: Taking taylor expansion of 1/2 in n 0.650 * [backup-simplify]: Simplify 1/2 into 1/2 0.650 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.650 * [taylor]: Taking taylor expansion of 1 in n 0.650 * [backup-simplify]: Simplify 1 into 1 0.650 * [taylor]: Taking taylor expansion of k in n 0.650 * [backup-simplify]: Simplify k into k 0.650 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.650 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.650 * [taylor]: Taking taylor expansion of 2 in n 0.650 * [backup-simplify]: Simplify 2 into 2 0.650 * [taylor]: Taking taylor expansion of (* n PI) in n 0.650 * [taylor]: Taking taylor expansion of n in n 0.650 * [backup-simplify]: Simplify 0 into 0 0.650 * [backup-simplify]: Simplify 1 into 1 0.650 * [taylor]: Taking taylor expansion of PI in n 0.650 * [backup-simplify]: Simplify PI into PI 0.651 * [backup-simplify]: Simplify (* 0 PI) into 0 0.651 * [backup-simplify]: Simplify (* 2 0) into 0 0.652 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.653 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.653 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.653 * [backup-simplify]: Simplify (- k) into (- k) 0.653 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.653 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 0.654 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.655 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 0.655 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0.655 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 0.656 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 0.656 * [taylor]: Taking taylor expansion of 1/2 in k 0.656 * [backup-simplify]: Simplify 1/2 into 1/2 0.656 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 0.656 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.656 * [taylor]: Taking taylor expansion of 1 in k 0.656 * [backup-simplify]: Simplify 1 into 1 0.656 * [taylor]: Taking taylor expansion of k in k 0.656 * [backup-simplify]: Simplify 0 into 0 0.656 * [backup-simplify]: Simplify 1 into 1 0.656 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 0.656 * [taylor]: Taking taylor expansion of (log n) in k 0.656 * [taylor]: Taking taylor expansion of n in k 0.656 * [backup-simplify]: Simplify n into n 0.656 * [backup-simplify]: Simplify (log n) into (log n) 0.656 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.656 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.656 * [taylor]: Taking taylor expansion of 2 in k 0.656 * [backup-simplify]: Simplify 2 into 2 0.656 * [taylor]: Taking taylor expansion of PI in k 0.656 * [backup-simplify]: Simplify PI into PI 0.656 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.657 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.657 * [backup-simplify]: Simplify (- 0) into 0 0.657 * [backup-simplify]: Simplify (+ 1 0) into 1 0.658 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.659 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 0.660 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 0.661 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0.662 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0.663 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 0.664 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 0.666 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.666 * [backup-simplify]: Simplify (- 0) into 0 0.667 * [backup-simplify]: Simplify (+ 0 0) into 0 0.667 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 0.669 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.670 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 0.671 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.671 * [taylor]: Taking taylor expansion of 0 in k 0.671 * [backup-simplify]: Simplify 0 into 0 0.671 * [backup-simplify]: Simplify 0 into 0 0.672 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 0.673 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 0.675 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.675 * [backup-simplify]: Simplify (+ 0 0) into 0 0.675 * [backup-simplify]: Simplify (- 1) into -1 0.676 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.677 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 0.679 * [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))))) 0.682 * [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))))))) 0.684 * [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))))))) 0.687 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 0.688 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 0.691 * [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 0.691 * [backup-simplify]: Simplify (- 0) into 0 0.692 * [backup-simplify]: Simplify (+ 0 0) into 0 0.692 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 0.694 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.696 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.698 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.698 * [taylor]: Taking taylor expansion of 0 in k 0.698 * [backup-simplify]: Simplify 0 into 0 0.698 * [backup-simplify]: Simplify 0 into 0 0.698 * [backup-simplify]: Simplify 0 into 0 0.700 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 0.700 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 0.704 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 0.704 * [backup-simplify]: Simplify (+ 0 0) into 0 0.704 * [backup-simplify]: Simplify (- 0) into 0 0.705 * [backup-simplify]: Simplify (+ 0 0) into 0 0.706 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.709 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.711 * [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))))) 0.714 * [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))))) 0.722 * [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))))) 0.723 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) 0.723 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 0.723 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 0.723 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 0.723 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 0.723 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 0.723 * [taylor]: Taking taylor expansion of 1/2 in k 0.723 * [backup-simplify]: Simplify 1/2 into 1/2 0.723 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 0.723 * [taylor]: Taking taylor expansion of 1 in k 0.723 * [backup-simplify]: Simplify 1 into 1 0.723 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.723 * [taylor]: Taking taylor expansion of k in k 0.723 * [backup-simplify]: Simplify 0 into 0 0.723 * [backup-simplify]: Simplify 1 into 1 0.723 * [backup-simplify]: Simplify (/ 1 1) into 1 0.723 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 0.723 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 0.723 * [taylor]: Taking taylor expansion of 2 in k 0.723 * [backup-simplify]: Simplify 2 into 2 0.723 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.723 * [taylor]: Taking taylor expansion of PI in k 0.723 * [backup-simplify]: Simplify PI into PI 0.723 * [taylor]: Taking taylor expansion of n in k 0.723 * [backup-simplify]: Simplify n into n 0.723 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 0.723 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 0.723 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 0.724 * [backup-simplify]: Simplify (- 1) into -1 0.724 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.724 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 0.724 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 0.724 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 0.724 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 0.724 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 0.724 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 0.725 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 0.725 * [taylor]: Taking taylor expansion of 1/2 in n 0.725 * [backup-simplify]: Simplify 1/2 into 1/2 0.725 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 0.725 * [taylor]: Taking taylor expansion of 1 in n 0.725 * [backup-simplify]: Simplify 1 into 1 0.725 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.725 * [taylor]: Taking taylor expansion of k in n 0.725 * [backup-simplify]: Simplify k into k 0.725 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.725 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 0.725 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.725 * [taylor]: Taking taylor expansion of 2 in n 0.725 * [backup-simplify]: Simplify 2 into 2 0.725 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.725 * [taylor]: Taking taylor expansion of PI in n 0.725 * [backup-simplify]: Simplify PI into PI 0.725 * [taylor]: Taking taylor expansion of n in n 0.725 * [backup-simplify]: Simplify 0 into 0 0.725 * [backup-simplify]: Simplify 1 into 1 0.725 * [backup-simplify]: Simplify (/ PI 1) into PI 0.725 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.726 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.726 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 0.726 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 0.726 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 0.727 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.727 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 0.728 * [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))))) 0.728 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 0.728 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 0.728 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 0.728 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 0.728 * [taylor]: Taking taylor expansion of 1/2 in n 0.728 * [backup-simplify]: Simplify 1/2 into 1/2 0.728 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 0.728 * [taylor]: Taking taylor expansion of 1 in n 0.728 * [backup-simplify]: Simplify 1 into 1 0.728 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.728 * [taylor]: Taking taylor expansion of k in n 0.728 * [backup-simplify]: Simplify k into k 0.728 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.728 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 0.728 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.728 * [taylor]: Taking taylor expansion of 2 in n 0.728 * [backup-simplify]: Simplify 2 into 2 0.728 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.728 * [taylor]: Taking taylor expansion of PI in n 0.728 * [backup-simplify]: Simplify PI into PI 0.729 * [taylor]: Taking taylor expansion of n in n 0.729 * [backup-simplify]: Simplify 0 into 0 0.729 * [backup-simplify]: Simplify 1 into 1 0.729 * [backup-simplify]: Simplify (/ PI 1) into PI 0.729 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.730 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.730 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 0.730 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 0.730 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 0.731 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.731 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 0.732 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0.732 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 0.732 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 0.732 * [taylor]: Taking taylor expansion of 1/2 in k 0.732 * [backup-simplify]: Simplify 1/2 into 1/2 0.732 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 0.732 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 0.732 * [taylor]: Taking taylor expansion of 1 in k 0.732 * [backup-simplify]: Simplify 1 into 1 0.732 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.732 * [taylor]: Taking taylor expansion of k in k 0.732 * [backup-simplify]: Simplify 0 into 0 0.732 * [backup-simplify]: Simplify 1 into 1 0.732 * [backup-simplify]: Simplify (/ 1 1) into 1 0.732 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 0.732 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.732 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.732 * [taylor]: Taking taylor expansion of 2 in k 0.733 * [backup-simplify]: Simplify 2 into 2 0.733 * [taylor]: Taking taylor expansion of PI in k 0.733 * [backup-simplify]: Simplify PI into PI 0.733 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.733 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.733 * [taylor]: Taking taylor expansion of (log n) in k 0.733 * [taylor]: Taking taylor expansion of n in k 0.733 * [backup-simplify]: Simplify n into n 0.733 * [backup-simplify]: Simplify (log n) into (log n) 0.734 * [backup-simplify]: Simplify (- 1) into -1 0.734 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.734 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 0.735 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 0.735 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 0.736 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 0.737 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0.737 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0.738 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.738 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 0.739 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.740 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.740 * [backup-simplify]: Simplify (- 0) into 0 0.740 * [backup-simplify]: Simplify (+ 0 0) into 0 0.741 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 0.741 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.742 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 0.743 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.743 * [taylor]: Taking taylor expansion of 0 in k 0.743 * [backup-simplify]: Simplify 0 into 0 0.743 * [backup-simplify]: Simplify 0 into 0 0.743 * [backup-simplify]: Simplify 0 into 0 0.744 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.744 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 0.746 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 0.747 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.747 * [backup-simplify]: Simplify (- 0) into 0 0.747 * [backup-simplify]: Simplify (+ 0 0) into 0 0.748 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 0.748 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.749 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 0.751 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.751 * [taylor]: Taking taylor expansion of 0 in k 0.751 * [backup-simplify]: Simplify 0 into 0 0.751 * [backup-simplify]: Simplify 0 into 0 0.751 * [backup-simplify]: Simplify 0 into 0 0.751 * [backup-simplify]: Simplify 0 into 0 0.751 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.752 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.755 * [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 0.755 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.755 * [backup-simplify]: Simplify (- 0) into 0 0.756 * [backup-simplify]: Simplify (+ 0 0) into 0 0.756 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 0.757 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.758 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 0.760 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.760 * [taylor]: Taking taylor expansion of 0 in k 0.760 * [backup-simplify]: Simplify 0 into 0 0.760 * [backup-simplify]: Simplify 0 into 0 0.761 * [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)))))) 0.761 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) 0.761 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 0.761 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 0.761 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 0.761 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 0.761 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 0.761 * [taylor]: Taking taylor expansion of 1/2 in k 0.761 * [backup-simplify]: Simplify 1/2 into 1/2 0.761 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 0.761 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.761 * [taylor]: Taking taylor expansion of k in k 0.761 * [backup-simplify]: Simplify 0 into 0 0.761 * [backup-simplify]: Simplify 1 into 1 0.761 * [backup-simplify]: Simplify (/ 1 1) into 1 0.761 * [taylor]: Taking taylor expansion of 1 in k 0.761 * [backup-simplify]: Simplify 1 into 1 0.761 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 0.761 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 0.761 * [taylor]: Taking taylor expansion of -2 in k 0.761 * [backup-simplify]: Simplify -2 into -2 0.762 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.762 * [taylor]: Taking taylor expansion of PI in k 0.762 * [backup-simplify]: Simplify PI into PI 0.762 * [taylor]: Taking taylor expansion of n in k 0.762 * [backup-simplify]: Simplify n into n 0.762 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 0.762 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 0.762 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 0.762 * [backup-simplify]: Simplify (+ 1 0) into 1 0.763 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.763 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 0.763 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 0.763 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 0.763 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 0.763 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 0.763 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 0.763 * [taylor]: Taking taylor expansion of 1/2 in n 0.763 * [backup-simplify]: Simplify 1/2 into 1/2 0.763 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 0.763 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.763 * [taylor]: Taking taylor expansion of k in n 0.763 * [backup-simplify]: Simplify k into k 0.763 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.763 * [taylor]: Taking taylor expansion of 1 in n 0.763 * [backup-simplify]: Simplify 1 into 1 0.763 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 0.763 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.763 * [taylor]: Taking taylor expansion of -2 in n 0.763 * [backup-simplify]: Simplify -2 into -2 0.763 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.764 * [taylor]: Taking taylor expansion of PI in n 0.764 * [backup-simplify]: Simplify PI into PI 0.764 * [taylor]: Taking taylor expansion of n in n 0.764 * [backup-simplify]: Simplify 0 into 0 0.764 * [backup-simplify]: Simplify 1 into 1 0.764 * [backup-simplify]: Simplify (/ PI 1) into PI 0.765 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.766 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 0.766 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 0.766 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 0.767 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.768 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 0.769 * [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))))) 0.769 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 0.769 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 0.769 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 0.769 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 0.769 * [taylor]: Taking taylor expansion of 1/2 in n 0.770 * [backup-simplify]: Simplify 1/2 into 1/2 0.770 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 0.770 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.770 * [taylor]: Taking taylor expansion of k in n 0.770 * [backup-simplify]: Simplify k into k 0.770 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.770 * [taylor]: Taking taylor expansion of 1 in n 0.770 * [backup-simplify]: Simplify 1 into 1 0.770 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 0.770 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.770 * [taylor]: Taking taylor expansion of -2 in n 0.770 * [backup-simplify]: Simplify -2 into -2 0.770 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.770 * [taylor]: Taking taylor expansion of PI in n 0.770 * [backup-simplify]: Simplify PI into PI 0.770 * [taylor]: Taking taylor expansion of n in n 0.770 * [backup-simplify]: Simplify 0 into 0 0.770 * [backup-simplify]: Simplify 1 into 1 0.770 * [backup-simplify]: Simplify (/ PI 1) into PI 0.771 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.772 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 0.772 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 0.772 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 0.773 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.774 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 0.775 * [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))))) 0.775 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 0.775 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 0.775 * [taylor]: Taking taylor expansion of 1/2 in k 0.775 * [backup-simplify]: Simplify 1/2 into 1/2 0.775 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 0.775 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 0.775 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.775 * [taylor]: Taking taylor expansion of k in k 0.775 * [backup-simplify]: Simplify 0 into 0 0.775 * [backup-simplify]: Simplify 1 into 1 0.775 * [backup-simplify]: Simplify (/ 1 1) into 1 0.775 * [taylor]: Taking taylor expansion of 1 in k 0.775 * [backup-simplify]: Simplify 1 into 1 0.775 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 0.775 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 0.775 * [taylor]: Taking taylor expansion of (* -2 PI) in k 0.775 * [taylor]: Taking taylor expansion of -2 in k 0.775 * [backup-simplify]: Simplify -2 into -2 0.775 * [taylor]: Taking taylor expansion of PI in k 0.775 * [backup-simplify]: Simplify PI into PI 0.776 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.776 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 0.776 * [taylor]: Taking taylor expansion of (log n) in k 0.776 * [taylor]: Taking taylor expansion of n in k 0.776 * [backup-simplify]: Simplify n into n 0.776 * [backup-simplify]: Simplify (log n) into (log n) 0.777 * [backup-simplify]: Simplify (+ 1 0) into 1 0.777 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 0.777 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 0.778 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 0.778 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 0.779 * [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))))) 0.780 * [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))))) 0.780 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.781 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 0.781 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 0.782 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.782 * [backup-simplify]: Simplify (+ 0 0) into 0 0.782 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 0.783 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.784 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 0.785 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.785 * [taylor]: Taking taylor expansion of 0 in k 0.785 * [backup-simplify]: Simplify 0 into 0 0.785 * [backup-simplify]: Simplify 0 into 0 0.785 * [backup-simplify]: Simplify 0 into 0 0.785 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.786 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 0.788 * [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 0.788 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.788 * [backup-simplify]: Simplify (+ 0 0) into 0 0.789 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 0.789 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.790 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 0.792 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.792 * [taylor]: Taking taylor expansion of 0 in k 0.792 * [backup-simplify]: Simplify 0 into 0 0.792 * [backup-simplify]: Simplify 0 into 0 0.792 * [backup-simplify]: Simplify 0 into 0 0.792 * [backup-simplify]: Simplify 0 into 0 0.792 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.793 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.796 * [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 0.796 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.796 * [backup-simplify]: Simplify (+ 0 0) into 0 0.797 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 0.798 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.799 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 0.800 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.800 * [taylor]: Taking taylor expansion of 0 in k 0.801 * [backup-simplify]: Simplify 0 into 0 0.801 * [backup-simplify]: Simplify 0 into 0 0.801 * [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)))))) 0.801 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.802 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI)) 0.802 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 0.802 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.802 * [taylor]: Taking taylor expansion of 2 in n 0.802 * [backup-simplify]: Simplify 2 into 2 0.802 * [taylor]: Taking taylor expansion of (* n PI) in n 0.802 * [taylor]: Taking taylor expansion of n in n 0.802 * [backup-simplify]: Simplify 0 into 0 0.802 * [backup-simplify]: Simplify 1 into 1 0.802 * [taylor]: Taking taylor expansion of PI in n 0.802 * [backup-simplify]: Simplify PI into PI 0.802 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.802 * [taylor]: Taking taylor expansion of 2 in n 0.802 * [backup-simplify]: Simplify 2 into 2 0.802 * [taylor]: Taking taylor expansion of (* n PI) in n 0.802 * [taylor]: Taking taylor expansion of n in n 0.802 * [backup-simplify]: Simplify 0 into 0 0.802 * [backup-simplify]: Simplify 1 into 1 0.802 * [taylor]: Taking taylor expansion of PI in n 0.802 * [backup-simplify]: Simplify PI into PI 0.803 * [backup-simplify]: Simplify (* 0 PI) into 0 0.803 * [backup-simplify]: Simplify (* 2 0) into 0 0.803 * [backup-simplify]: Simplify 0 into 0 0.807 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.808 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.809 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.810 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 0.811 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 0.811 * [backup-simplify]: Simplify 0 into 0 0.812 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 0.813 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 0.813 * [backup-simplify]: Simplify 0 into 0 0.814 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.816 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 0.816 * [backup-simplify]: Simplify 0 into 0 0.817 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 0.819 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 0.819 * [backup-simplify]: Simplify 0 into 0 0.820 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 0.822 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 0.822 * [backup-simplify]: Simplify 0 into 0 0.824 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 0.825 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 0.825 * [backup-simplify]: Simplify 0 into 0 0.826 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 0.826 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n)) 0.826 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 0.826 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.826 * [taylor]: Taking taylor expansion of 2 in n 0.826 * [backup-simplify]: Simplify 2 into 2 0.826 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.826 * [taylor]: Taking taylor expansion of PI in n 0.826 * [backup-simplify]: Simplify PI into PI 0.826 * [taylor]: Taking taylor expansion of n in n 0.826 * [backup-simplify]: Simplify 0 into 0 0.826 * [backup-simplify]: Simplify 1 into 1 0.827 * [backup-simplify]: Simplify (/ PI 1) into PI 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 0.827 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.828 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.828 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.829 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 0.829 * [backup-simplify]: Simplify 0 into 0 0.829 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.830 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 0.830 * [backup-simplify]: Simplify 0 into 0 0.830 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.831 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.831 * [backup-simplify]: Simplify 0 into 0 0.832 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.832 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.832 * [backup-simplify]: Simplify 0 into 0 0.833 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.834 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 0.834 * [backup-simplify]: Simplify 0 into 0 0.834 * [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 0.835 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 0.835 * [backup-simplify]: Simplify 0 into 0 0.835 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 0.836 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n)) 0.836 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 0.836 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.836 * [taylor]: Taking taylor expansion of -2 in n 0.836 * [backup-simplify]: Simplify -2 into -2 0.836 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.836 * [taylor]: Taking taylor expansion of PI in n 0.836 * [backup-simplify]: Simplify PI into PI 0.836 * [taylor]: Taking taylor expansion of n in n 0.836 * [backup-simplify]: Simplify 0 into 0 0.836 * [backup-simplify]: Simplify 1 into 1 0.836 * [backup-simplify]: Simplify (/ PI 1) into PI 0.836 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.836 * [taylor]: Taking taylor expansion of -2 in n 0.836 * [backup-simplify]: Simplify -2 into -2 0.836 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.836 * [taylor]: Taking taylor expansion of PI in n 0.836 * [backup-simplify]: Simplify PI into PI 0.836 * [taylor]: Taking taylor expansion of n in n 0.836 * [backup-simplify]: Simplify 0 into 0 0.836 * [backup-simplify]: Simplify 1 into 1 0.837 * [backup-simplify]: Simplify (/ PI 1) into PI 0.837 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.837 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.838 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.838 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 0.838 * [backup-simplify]: Simplify 0 into 0 0.839 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.839 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 0.839 * [backup-simplify]: Simplify 0 into 0 0.840 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.840 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.840 * [backup-simplify]: Simplify 0 into 0 0.841 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.842 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.842 * [backup-simplify]: Simplify 0 into 0 0.842 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.843 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 0.843 * [backup-simplify]: Simplify 0 into 0 0.844 * [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 0.845 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 0.845 * [backup-simplify]: Simplify 0 into 0 0.845 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 0.845 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.845 * [backup-simplify]: Simplify (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) 0.845 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (n k) around 0 0.845 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 0.845 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 0.845 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 0.846 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 0.846 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 0.846 * [taylor]: Taking taylor expansion of 1/2 in k 0.846 * [backup-simplify]: Simplify 1/2 into 1/2 0.846 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.846 * [taylor]: Taking taylor expansion of 1 in k 0.846 * [backup-simplify]: Simplify 1 into 1 0.846 * [taylor]: Taking taylor expansion of k in k 0.846 * [backup-simplify]: Simplify 0 into 0 0.846 * [backup-simplify]: Simplify 1 into 1 0.846 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 0.846 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 0.846 * [taylor]: Taking taylor expansion of 2 in k 0.846 * [backup-simplify]: Simplify 2 into 2 0.846 * [taylor]: Taking taylor expansion of (* n PI) in k 0.846 * [taylor]: Taking taylor expansion of n in k 0.846 * [backup-simplify]: Simplify n into n 0.846 * [taylor]: Taking taylor expansion of PI in k 0.846 * [backup-simplify]: Simplify PI into PI 0.846 * [backup-simplify]: Simplify (* n PI) into (* n PI) 0.846 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 0.846 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 0.846 * [backup-simplify]: Simplify (- 0) into 0 0.847 * [backup-simplify]: Simplify (+ 1 0) into 1 0.847 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.847 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 0.848 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 0.848 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.848 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.848 * [taylor]: Taking taylor expansion of k in k 0.848 * [backup-simplify]: Simplify 0 into 0 0.848 * [backup-simplify]: Simplify 1 into 1 0.848 * [backup-simplify]: Simplify (/ 1 1) into 1 0.848 * [backup-simplify]: Simplify (sqrt 0) into 0 0.850 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.850 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 0.850 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.850 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.850 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.850 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.850 * [taylor]: Taking taylor expansion of 1/2 in n 0.851 * [backup-simplify]: Simplify 1/2 into 1/2 0.851 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.851 * [taylor]: Taking taylor expansion of 1 in n 0.851 * [backup-simplify]: Simplify 1 into 1 0.851 * [taylor]: Taking taylor expansion of k in n 0.851 * [backup-simplify]: Simplify k into k 0.851 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.851 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.851 * [taylor]: Taking taylor expansion of 2 in n 0.851 * [backup-simplify]: Simplify 2 into 2 0.851 * [taylor]: Taking taylor expansion of (* n PI) in n 0.851 * [taylor]: Taking taylor expansion of n in n 0.851 * [backup-simplify]: Simplify 0 into 0 0.851 * [backup-simplify]: Simplify 1 into 1 0.851 * [taylor]: Taking taylor expansion of PI in n 0.851 * [backup-simplify]: Simplify PI into PI 0.851 * [backup-simplify]: Simplify (* 0 PI) into 0 0.852 * [backup-simplify]: Simplify (* 2 0) into 0 0.853 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.854 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.855 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.855 * [backup-simplify]: Simplify (- k) into (- k) 0.855 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.855 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 0.856 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.856 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 0.857 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0.857 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.857 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.857 * [taylor]: Taking taylor expansion of k in n 0.857 * [backup-simplify]: Simplify k into k 0.857 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.857 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 0.857 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.857 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 0.857 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 0.857 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.857 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.857 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.857 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.857 * [taylor]: Taking taylor expansion of 1/2 in n 0.857 * [backup-simplify]: Simplify 1/2 into 1/2 0.857 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.857 * [taylor]: Taking taylor expansion of 1 in n 0.857 * [backup-simplify]: Simplify 1 into 1 0.857 * [taylor]: Taking taylor expansion of k in n 0.857 * [backup-simplify]: Simplify k into k 0.857 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.857 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.857 * [taylor]: Taking taylor expansion of 2 in n 0.857 * [backup-simplify]: Simplify 2 into 2 0.857 * [taylor]: Taking taylor expansion of (* n PI) in n 0.857 * [taylor]: Taking taylor expansion of n in n 0.858 * [backup-simplify]: Simplify 0 into 0 0.858 * [backup-simplify]: Simplify 1 into 1 0.858 * [taylor]: Taking taylor expansion of PI in n 0.858 * [backup-simplify]: Simplify PI into PI 0.858 * [backup-simplify]: Simplify (* 0 PI) into 0 0.858 * [backup-simplify]: Simplify (* 2 0) into 0 0.859 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.860 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.860 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.860 * [backup-simplify]: Simplify (- k) into (- k) 0.860 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.860 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 0.861 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.862 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 0.862 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0.862 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.863 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.863 * [taylor]: Taking taylor expansion of k in n 0.863 * [backup-simplify]: Simplify k into k 0.863 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.863 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 0.863 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.863 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 0.863 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) into (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) 0.863 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) in k 0.864 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 0.864 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 0.864 * [taylor]: Taking taylor expansion of 1/2 in k 0.864 * [backup-simplify]: Simplify 1/2 into 1/2 0.864 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 0.864 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.864 * [taylor]: Taking taylor expansion of 1 in k 0.864 * [backup-simplify]: Simplify 1 into 1 0.864 * [taylor]: Taking taylor expansion of k in k 0.864 * [backup-simplify]: Simplify 0 into 0 0.864 * [backup-simplify]: Simplify 1 into 1 0.864 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 0.864 * [taylor]: Taking taylor expansion of (log n) in k 0.864 * [taylor]: Taking taylor expansion of n in k 0.864 * [backup-simplify]: Simplify n into n 0.864 * [backup-simplify]: Simplify (log n) into (log n) 0.864 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.864 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.864 * [taylor]: Taking taylor expansion of 2 in k 0.864 * [backup-simplify]: Simplify 2 into 2 0.864 * [taylor]: Taking taylor expansion of PI in k 0.864 * [backup-simplify]: Simplify PI into PI 0.864 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.865 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.865 * [backup-simplify]: Simplify (- 0) into 0 0.865 * [backup-simplify]: Simplify (+ 1 0) into 1 0.866 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.867 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 0.867 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 0.868 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0.868 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.868 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.868 * [taylor]: Taking taylor expansion of k in k 0.868 * [backup-simplify]: Simplify 0 into 0 0.868 * [backup-simplify]: Simplify 1 into 1 0.868 * [backup-simplify]: Simplify (/ 1 1) into 1 0.868 * [backup-simplify]: Simplify (sqrt 0) into 0 0.869 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.870 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 0.870 * [backup-simplify]: Simplify 0 into 0 0.870 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 0.871 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 0.872 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.872 * [backup-simplify]: Simplify (- 0) into 0 0.872 * [backup-simplify]: Simplify (+ 0 0) into 0 0.873 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 0.873 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.874 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 0.875 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.876 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (* 0 (sqrt (/ 1 k)))) into 0 0.876 * [taylor]: Taking taylor expansion of 0 in k 0.876 * [backup-simplify]: Simplify 0 into 0 0.877 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 0.877 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 0.878 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.878 * [backup-simplify]: Simplify (+ 0 0) into 0 0.878 * [backup-simplify]: Simplify (- 1) into -1 0.879 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.879 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 0.881 * [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))))) 0.883 * [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))))))) 0.886 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0)) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0.888 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0.888 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.889 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 0.890 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 0.891 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 0.894 * [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 0.895 * [backup-simplify]: Simplify (- 0) into 0 0.895 * [backup-simplify]: Simplify (+ 0 0) into 0 0.896 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 0.897 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.899 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.901 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.902 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0 0.902 * [taylor]: Taking taylor expansion of 0 in k 0.902 * [backup-simplify]: Simplify 0 into 0 0.903 * [backup-simplify]: Simplify 0 into 0 0.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.906 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.910 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 0.911 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 0.915 * [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 0.915 * [backup-simplify]: Simplify (+ 0 0) into 0 0.916 * [backup-simplify]: Simplify (- 0) into 0 0.916 * [backup-simplify]: Simplify (+ 0 0) into 0 0.918 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.921 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.924 * [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))))) 0.933 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) +nan.0) (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) 0))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) 0.937 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) 0.938 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.938 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 0.940 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.941 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 0.947 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 0.948 * [backup-simplify]: Simplify (- 0) into 0 0.948 * [backup-simplify]: Simplify (+ 0 0) into 0 0.949 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 k))))) into 0 0.951 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.952 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 0.955 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.957 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0 0.957 * [taylor]: Taking taylor expansion of 0 in k 0.957 * [backup-simplify]: Simplify 0 into 0 0.957 * [backup-simplify]: Simplify 0 into 0 0.957 * [backup-simplify]: Simplify 0 into 0 0.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.962 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.965 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0 0.966 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.972 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 0.972 * [backup-simplify]: Simplify (+ 0 0) into 0 0.973 * [backup-simplify]: Simplify (- 0) into 0 0.973 * [backup-simplify]: Simplify (+ 0 0) into 0 0.975 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 0.978 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 0.984 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 3) 6)) (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (pow (log n) 2) (log (* 2 PI)))) (+ (* 1/16 (* (log n) (pow (log (* 2 PI)) 2))) (* 1/48 (pow (log (* 2 PI)) 3))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0.997 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) +nan.0) (+ (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) +nan.0) (* (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (pow (log n) 2) (log (* 2 PI)))) (+ (* 1/16 (* (log n) (pow (log (* 2 PI)) 2))) (* 1/48 (pow (log (* 2 PI)) 3))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0)))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) 1.004 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) 1.014 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) (* k 1)) (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))))) into (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))))))))))))))))))) 1.015 * [backup-simplify]: Simplify (/ (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) (sqrt (/ 1 k))) into (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) 1.015 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (n k) around 0 1.015 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 1.015 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 1.015 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1.015 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1.015 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 1.015 * [taylor]: Taking taylor expansion of 1/2 in k 1.015 * [backup-simplify]: Simplify 1/2 into 1/2 1.015 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 1.015 * [taylor]: Taking taylor expansion of 1 in k 1.015 * [backup-simplify]: Simplify 1 into 1 1.015 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.015 * [taylor]: Taking taylor expansion of k in k 1.016 * [backup-simplify]: Simplify 0 into 0 1.016 * [backup-simplify]: Simplify 1 into 1 1.016 * [backup-simplify]: Simplify (/ 1 1) into 1 1.016 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1.016 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 1.016 * [taylor]: Taking taylor expansion of 2 in k 1.016 * [backup-simplify]: Simplify 2 into 2 1.016 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.016 * [taylor]: Taking taylor expansion of PI in k 1.016 * [backup-simplify]: Simplify PI into PI 1.016 * [taylor]: Taking taylor expansion of n in k 1.016 * [backup-simplify]: Simplify n into n 1.016 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.016 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1.016 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1.017 * [backup-simplify]: Simplify (- 1) into -1 1.017 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.018 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 1.018 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1.018 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 1.018 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.018 * [taylor]: Taking taylor expansion of k in k 1.018 * [backup-simplify]: Simplify 0 into 0 1.018 * [backup-simplify]: Simplify 1 into 1 1.018 * [backup-simplify]: Simplify (sqrt 0) into 0 1.019 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.019 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 1.019 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 1.019 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1.019 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1.019 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 1.019 * [taylor]: Taking taylor expansion of 1/2 in n 1.019 * [backup-simplify]: Simplify 1/2 into 1/2 1.019 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 1.019 * [taylor]: Taking taylor expansion of 1 in n 1.019 * [backup-simplify]: Simplify 1 into 1 1.019 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.019 * [taylor]: Taking taylor expansion of k in n 1.019 * [backup-simplify]: Simplify k into k 1.019 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.019 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.019 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.019 * [taylor]: Taking taylor expansion of 2 in n 1.019 * [backup-simplify]: Simplify 2 into 2 1.019 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.019 * [taylor]: Taking taylor expansion of PI in n 1.019 * [backup-simplify]: Simplify PI into PI 1.019 * [taylor]: Taking taylor expansion of n in n 1.019 * [backup-simplify]: Simplify 0 into 0 1.019 * [backup-simplify]: Simplify 1 into 1 1.020 * [backup-simplify]: Simplify (/ PI 1) into PI 1.020 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.021 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.021 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.021 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1.021 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 1.022 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.022 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 1.025 * [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))))) 1.025 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.025 * [taylor]: Taking taylor expansion of k in n 1.025 * [backup-simplify]: Simplify k into k 1.025 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 1.025 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 1.025 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 1.025 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 1.025 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1.025 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1.025 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 1.025 * [taylor]: Taking taylor expansion of 1/2 in n 1.025 * [backup-simplify]: Simplify 1/2 into 1/2 1.025 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 1.025 * [taylor]: Taking taylor expansion of 1 in n 1.025 * [backup-simplify]: Simplify 1 into 1 1.025 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.025 * [taylor]: Taking taylor expansion of k in n 1.025 * [backup-simplify]: Simplify k into k 1.025 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.025 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.025 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.025 * [taylor]: Taking taylor expansion of 2 in n 1.025 * [backup-simplify]: Simplify 2 into 2 1.025 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.025 * [taylor]: Taking taylor expansion of PI in n 1.025 * [backup-simplify]: Simplify PI into PI 1.025 * [taylor]: Taking taylor expansion of n in n 1.025 * [backup-simplify]: Simplify 0 into 0 1.025 * [backup-simplify]: Simplify 1 into 1 1.026 * [backup-simplify]: Simplify (/ PI 1) into PI 1.026 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.026 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.026 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.027 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1.027 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 1.027 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.028 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 1.029 * [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))))) 1.029 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.029 * [taylor]: Taking taylor expansion of k in n 1.029 * [backup-simplify]: Simplify k into k 1.029 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 1.029 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 1.030 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) into (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) 1.030 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) in k 1.030 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 1.030 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 1.030 * [taylor]: Taking taylor expansion of 1/2 in k 1.030 * [backup-simplify]: Simplify 1/2 into 1/2 1.030 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 1.030 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 1.030 * [taylor]: Taking taylor expansion of 1 in k 1.030 * [backup-simplify]: Simplify 1 into 1 1.030 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.030 * [taylor]: Taking taylor expansion of k in k 1.030 * [backup-simplify]: Simplify 0 into 0 1.030 * [backup-simplify]: Simplify 1 into 1 1.030 * [backup-simplify]: Simplify (/ 1 1) into 1 1.030 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1.030 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 1.030 * [taylor]: Taking taylor expansion of (* 2 PI) in k 1.030 * [taylor]: Taking taylor expansion of 2 in k 1.030 * [backup-simplify]: Simplify 2 into 2 1.030 * [taylor]: Taking taylor expansion of PI in k 1.030 * [backup-simplify]: Simplify PI into PI 1.031 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.031 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.031 * [taylor]: Taking taylor expansion of (log n) in k 1.031 * [taylor]: Taking taylor expansion of n in k 1.031 * [backup-simplify]: Simplify n into n 1.031 * [backup-simplify]: Simplify (log n) into (log n) 1.032 * [backup-simplify]: Simplify (- 1) into -1 1.032 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.032 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 1.032 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1.033 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 1.034 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1.034 * [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))))) 1.034 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.034 * [taylor]: Taking taylor expansion of k in k 1.034 * [backup-simplify]: Simplify 0 into 0 1.034 * [backup-simplify]: Simplify 1 into 1 1.035 * [backup-simplify]: Simplify (sqrt 0) into 0 1.035 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.036 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) into 0 1.036 * [backup-simplify]: Simplify 0 into 0 1.037 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.037 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 1.038 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1.038 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.039 * [backup-simplify]: Simplify (- 0) into 0 1.039 * [backup-simplify]: Simplify (+ 0 0) into 0 1.039 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 1.040 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.041 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1.042 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.043 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (* 0 (sqrt k))) into 0 1.043 * [taylor]: Taking taylor expansion of 0 in k 1.043 * [backup-simplify]: Simplify 0 into 0 1.043 * [backup-simplify]: Simplify 0 into 0 1.044 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 1.044 * [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))))))) 1.045 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1.045 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.046 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1.047 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 1.048 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.048 * [backup-simplify]: Simplify (- 0) into 0 1.048 * [backup-simplify]: Simplify (+ 0 0) into 0 1.049 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 1.049 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.050 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1.052 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.053 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0 1.053 * [taylor]: Taking taylor expansion of 0 in k 1.053 * [backup-simplify]: Simplify 0 into 0 1.053 * [backup-simplify]: Simplify 0 into 0 1.053 * [backup-simplify]: Simplify 0 into 0 1.055 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.057 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 1.058 * [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))))))) 1.059 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1.060 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.061 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.067 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 1.067 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.068 * [backup-simplify]: Simplify (- 0) into 0 1.068 * [backup-simplify]: Simplify (+ 0 0) into 0 1.069 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 1.071 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.072 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1.075 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.077 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0 1.077 * [taylor]: Taking taylor expansion of 0 in k 1.077 * [backup-simplify]: Simplify 0 into 0 1.077 * [backup-simplify]: Simplify 0 into 0 1.077 * [backup-simplify]: Simplify 0 into 0 1.077 * [backup-simplify]: Simplify 0 into 0 1.081 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.083 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 1.084 * [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))))))) 1.088 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3)))))))) 1.089 * [backup-simplify]: Simplify (/ (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) (sqrt (/ 1 (- k)))) into (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) 1.089 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (n k) around 0 1.089 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 1.089 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 1.089 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 1.089 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 1.089 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 1.089 * [taylor]: Taking taylor expansion of 1/2 in k 1.089 * [backup-simplify]: Simplify 1/2 into 1/2 1.090 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 1.090 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.090 * [taylor]: Taking taylor expansion of k in k 1.090 * [backup-simplify]: Simplify 0 into 0 1.090 * [backup-simplify]: Simplify 1 into 1 1.090 * [backup-simplify]: Simplify (/ 1 1) into 1 1.090 * [taylor]: Taking taylor expansion of 1 in k 1.090 * [backup-simplify]: Simplify 1 into 1 1.090 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1.090 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 1.090 * [taylor]: Taking taylor expansion of -2 in k 1.090 * [backup-simplify]: Simplify -2 into -2 1.090 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.090 * [taylor]: Taking taylor expansion of PI in k 1.090 * [backup-simplify]: Simplify PI into PI 1.090 * [taylor]: Taking taylor expansion of n in k 1.090 * [backup-simplify]: Simplify n into n 1.090 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.090 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1.091 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1.091 * [backup-simplify]: Simplify (+ 1 0) into 1 1.091 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.092 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1.092 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 1.092 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.092 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.092 * [taylor]: Taking taylor expansion of -1 in k 1.092 * [backup-simplify]: Simplify -1 into -1 1.092 * [taylor]: Taking taylor expansion of k in k 1.092 * [backup-simplify]: Simplify 0 into 0 1.092 * [backup-simplify]: Simplify 1 into 1 1.092 * [backup-simplify]: Simplify (/ -1 1) into -1 1.093 * [backup-simplify]: Simplify (sqrt 0) into 0 1.094 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.095 * [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))))) 1.095 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 1.095 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 1.095 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 1.095 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 1.095 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 1.095 * [taylor]: Taking taylor expansion of 1/2 in n 1.095 * [backup-simplify]: Simplify 1/2 into 1/2 1.095 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 1.095 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.095 * [taylor]: Taking taylor expansion of k in n 1.095 * [backup-simplify]: Simplify k into k 1.095 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.095 * [taylor]: Taking taylor expansion of 1 in n 1.095 * [backup-simplify]: Simplify 1 into 1 1.095 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.095 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.095 * [taylor]: Taking taylor expansion of -2 in n 1.095 * [backup-simplify]: Simplify -2 into -2 1.095 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.095 * [taylor]: Taking taylor expansion of PI in n 1.095 * [backup-simplify]: Simplify PI into PI 1.095 * [taylor]: Taking taylor expansion of n in n 1.095 * [backup-simplify]: Simplify 0 into 0 1.095 * [backup-simplify]: Simplify 1 into 1 1.096 * [backup-simplify]: Simplify (/ PI 1) into PI 1.096 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.097 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.097 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1.097 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 1.099 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.100 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 1.101 * [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))))) 1.101 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.101 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.101 * [taylor]: Taking taylor expansion of -1 in n 1.101 * [backup-simplify]: Simplify -1 into -1 1.101 * [taylor]: Taking taylor expansion of k in n 1.101 * [backup-simplify]: Simplify k into k 1.101 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 1.101 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1.102 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1.102 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1.103 * [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))) 1.103 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 1.103 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 1.103 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 1.103 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 1.103 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 1.103 * [taylor]: Taking taylor expansion of 1/2 in n 1.103 * [backup-simplify]: Simplify 1/2 into 1/2 1.103 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 1.103 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.103 * [taylor]: Taking taylor expansion of k in n 1.103 * [backup-simplify]: Simplify k into k 1.103 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.103 * [taylor]: Taking taylor expansion of 1 in n 1.103 * [backup-simplify]: Simplify 1 into 1 1.103 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.103 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.103 * [taylor]: Taking taylor expansion of -2 in n 1.103 * [backup-simplify]: Simplify -2 into -2 1.103 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.103 * [taylor]: Taking taylor expansion of PI in n 1.104 * [backup-simplify]: Simplify PI into PI 1.104 * [taylor]: Taking taylor expansion of n in n 1.104 * [backup-simplify]: Simplify 0 into 0 1.104 * [backup-simplify]: Simplify 1 into 1 1.104 * [backup-simplify]: Simplify (/ PI 1) into PI 1.104 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.105 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.106 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1.106 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 1.107 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.108 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 1.109 * [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))))) 1.109 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.109 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.109 * [taylor]: Taking taylor expansion of -1 in n 1.109 * [backup-simplify]: Simplify -1 into -1 1.109 * [taylor]: Taking taylor expansion of k in n 1.109 * [backup-simplify]: Simplify k into k 1.110 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 1.110 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1.110 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1.110 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1.111 * [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))) 1.111 * [taylor]: Taking taylor expansion of (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) in k 1.111 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 1.111 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 1.111 * [taylor]: Taking taylor expansion of 1/2 in k 1.111 * [backup-simplify]: Simplify 1/2 into 1/2 1.111 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 1.111 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 1.111 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.111 * [taylor]: Taking taylor expansion of k in k 1.112 * [backup-simplify]: Simplify 0 into 0 1.112 * [backup-simplify]: Simplify 1 into 1 1.112 * [backup-simplify]: Simplify (/ 1 1) into 1 1.112 * [taylor]: Taking taylor expansion of 1 in k 1.112 * [backup-simplify]: Simplify 1 into 1 1.112 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1.112 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 1.112 * [taylor]: Taking taylor expansion of (* -2 PI) in k 1.112 * [taylor]: Taking taylor expansion of -2 in k 1.112 * [backup-simplify]: Simplify -2 into -2 1.112 * [taylor]: Taking taylor expansion of PI in k 1.112 * [backup-simplify]: Simplify PI into PI 1.113 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.114 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.114 * [taylor]: Taking taylor expansion of (log n) in k 1.114 * [taylor]: Taking taylor expansion of n in k 1.114 * [backup-simplify]: Simplify n into n 1.114 * [backup-simplify]: Simplify (log n) into (log n) 1.114 * [backup-simplify]: Simplify (+ 1 0) into 1 1.114 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 1.115 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1.116 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 1.117 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1.119 * [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))))) 1.119 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.119 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.119 * [taylor]: Taking taylor expansion of -1 in k 1.119 * [backup-simplify]: Simplify -1 into -1 1.119 * [taylor]: Taking taylor expansion of k in k 1.119 * [backup-simplify]: Simplify 0 into 0 1.119 * [backup-simplify]: Simplify 1 into 1 1.119 * [backup-simplify]: Simplify (/ -1 1) into -1 1.120 * [backup-simplify]: Simplify (sqrt 0) into 0 1.121 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.122 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) 1.123 * [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)))))) 1.124 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.125 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 1.127 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1.127 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.127 * [backup-simplify]: Simplify (+ 0 0) into 0 1.128 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 1.129 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.130 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1.132 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.133 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0 1.133 * [taylor]: Taking taylor expansion of 0 in k 1.133 * [backup-simplify]: Simplify 0 into 0 1.133 * [backup-simplify]: Simplify 0 into 0 1.134 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.137 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.139 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) 1.141 * [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))))))) 1.142 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.143 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1.147 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0 1.148 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.148 * [backup-simplify]: Simplify (+ 0 0) into 0 1.148 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 1.149 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.150 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1.151 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.152 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.152 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1.153 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0 1.153 * [taylor]: Taking taylor expansion of 0 in k 1.153 * [backup-simplify]: Simplify 0 into 0 1.153 * [backup-simplify]: Simplify 0 into 0 1.153 * [backup-simplify]: Simplify 0 into 0 1.153 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.156 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.158 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) 1.159 * [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))))))) 1.161 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))))))) 1.161 * * * [progress]: simplifying candidates 1.161 * * * * [progress]: [ 1 / 127 ] simplifiying candidate # 1.161 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) 1.161 * * [simplify]: iters left: 6 (13 enodes) 1.165 * * [simplify]: iters left: 5 (54 enodes) 1.174 * * [simplify]: iters left: 4 (97 enodes) 1.208 * * [simplify]: iters left: 3 (242 enodes) 1.275 * * [simplify]: Extracting #0: cost 1 inf + 0 1.275 * * [simplify]: Extracting #1: cost 28 inf + 0 1.275 * * [simplify]: Extracting #2: cost 93 inf + 2 1.275 * * [simplify]: Extracting #3: cost 139 inf + 75 1.276 * * [simplify]: Extracting #4: cost 102 inf + 5195 1.281 * * [simplify]: Extracting #5: cost 14 inf + 28777 1.289 * * [simplify]: Extracting #6: cost 0 inf + 33789 1.295 * [simplify]: Simplified to (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2) 1.295 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2)) (sqrt k))) 1.295 * * * * [progress]: [ 2 / 127 ] simplifiying candidate # 1.296 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) 1.296 * * [simplify]: iters left: 6 (12 enodes) 1.300 * * [simplify]: iters left: 5 (52 enodes) 1.309 * * [simplify]: iters left: 4 (90 enodes) 1.331 * * [simplify]: iters left: 3 (201 enodes) 1.424 * * [simplify]: iters left: 2 (496 enodes) 1.673 * * [simplify]: Extracting #0: cost 1 inf + 0 1.673 * * [simplify]: Extracting #1: cost 22 inf + 0 1.673 * * [simplify]: Extracting #2: cost 122 inf + 2 1.674 * * [simplify]: Extracting #3: cost 296 inf + 186 1.676 * * [simplify]: Extracting #4: cost 252 inf + 7310 1.693 * * [simplify]: Extracting #5: cost 66 inf + 59079 1.724 * * [simplify]: Extracting #6: cost 1 inf + 82178 1.740 * * [simplify]: Extracting #7: cost 0 inf + 82436 1.765 * [simplify]: Simplified to (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) 1.765 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2)) (sqrt k))) 1.765 * * * * [progress]: [ 3 / 127 ] simplifiying candidate # 1.766 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) 1.766 * * [simplify]: iters left: 6 (11 enodes) 1.769 * * [simplify]: iters left: 5 (51 enodes) 1.778 * * [simplify]: iters left: 4 (97 enodes) 1.796 * * [simplify]: iters left: 3 (197 enodes) 1.863 * * [simplify]: iters left: 2 (491 enodes) 2.216 * * [simplify]: Extracting #0: cost 1 inf + 0 2.217 * * [simplify]: Extracting #1: cost 27 inf + 0 2.217 * * [simplify]: Extracting #2: cost 139 inf + 2 2.219 * * [simplify]: Extracting #3: cost 300 inf + 382 2.224 * * [simplify]: Extracting #4: cost 242 inf + 10228 2.248 * * [simplify]: Extracting #5: cost 53 inf + 57829 2.278 * * [simplify]: Extracting #6: cost 2 inf + 73504 2.309 * * [simplify]: Extracting #7: cost 0 inf + 74187 2.340 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) 2.340 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) (sqrt k))) 2.340 * * * * [progress]: [ 4 / 127 ] simplifiying candidate # 2.341 * * * * [progress]: [ 5 / 127 ] simplifiying candidate # 2.341 * [simplify]: Simplifying (* n (* 2 PI)) 2.341 * * [simplify]: iters left: 4 (5 enodes) 2.344 * * [simplify]: iters left: 3 (19 enodes) 2.350 * * [simplify]: iters left: 2 (27 enodes) 2.358 * * [simplify]: iters left: 1 (32 enodes) 2.366 * * [simplify]: Extracting #0: cost 1 inf + 0 2.366 * * [simplify]: Extracting #1: cost 8 inf + 0 2.366 * * [simplify]: Extracting #2: cost 7 inf + 45 2.366 * * [simplify]: Extracting #3: cost 0 inf + 421 2.366 * [simplify]: Simplified to (* (* PI 2) n) 2.367 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (sqrt k))) 2.367 * * * * [progress]: [ 6 / 127 ] simplifiying candidate # 2.367 * [simplify]: Simplifying (* n (* 2 PI)) 2.367 * * [simplify]: iters left: 4 (5 enodes) 2.370 * * [simplify]: iters left: 3 (19 enodes) 2.378 * * [simplify]: iters left: 2 (27 enodes) 2.386 * * [simplify]: iters left: 1 (32 enodes) 2.393 * * [simplify]: Extracting #0: cost 1 inf + 0 2.394 * * [simplify]: Extracting #1: cost 8 inf + 0 2.394 * * [simplify]: Extracting #2: cost 7 inf + 45 2.394 * * [simplify]: Extracting #3: cost 0 inf + 421 2.394 * [simplify]: Simplified to (* (* PI 2) n) 2.394 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (sqrt k))) 2.394 * * * * [progress]: [ 7 / 127 ] simplifiying candidate # 2.395 * [simplify]: Simplifying (* n (* 2 PI)) 2.395 * * [simplify]: iters left: 4 (5 enodes) 2.398 * * [simplify]: iters left: 3 (19 enodes) 2.401 * * [simplify]: iters left: 2 (27 enodes) 2.405 * * [simplify]: iters left: 1 (32 enodes) 2.408 * * [simplify]: Extracting #0: cost 1 inf + 0 2.408 * * [simplify]: Extracting #1: cost 8 inf + 0 2.408 * * [simplify]: Extracting #2: cost 7 inf + 45 2.409 * * [simplify]: Extracting #3: cost 0 inf + 421 2.409 * [simplify]: Simplified to (* (* PI 2) n) 2.409 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (sqrt k))) 2.409 * * * * [progress]: [ 8 / 127 ] simplifiying candidate # 2.409 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ k 2)) 2.409 * * [simplify]: iters left: 5 (8 enodes) 2.411 * * [simplify]: iters left: 4 (31 enodes) 2.416 * * [simplify]: iters left: 3 (51 enodes) 2.424 * * [simplify]: iters left: 2 (85 enodes) 2.445 * * [simplify]: iters left: 1 (152 enodes) 2.502 * * [simplify]: Extracting #0: cost 1 inf + 0 2.502 * * [simplify]: Extracting #1: cost 13 inf + 0 2.502 * * [simplify]: Extracting #2: cost 59 inf + 1 2.503 * * [simplify]: Extracting #3: cost 76 inf + 9 2.504 * * [simplify]: Extracting #4: cost 41 inf + 3303 2.507 * * [simplify]: Extracting #5: cost 16 inf + 10676 2.512 * * [simplify]: Extracting #6: cost 0 inf + 21028 2.517 * * [simplify]: Extracting #7: cost 0 inf + 20456 2.523 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 2.523 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt k))) 2.523 * * * * [progress]: [ 9 / 127 ] simplifiying candidate # 2.523 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2)) 2.523 * * [simplify]: iters left: 5 (6 enodes) 2.527 * * [simplify]: iters left: 4 (26 enodes) 2.536 * * [simplify]: iters left: 3 (35 enodes) 2.546 * * [simplify]: Extracting #0: cost 1 inf + 0 2.546 * * [simplify]: Extracting #1: cost 3 inf + 0 2.547 * * [simplify]: Extracting #2: cost 8 inf + 0 2.547 * * [simplify]: Extracting #3: cost 11 inf + 2 2.547 * * [simplify]: Extracting #4: cost 8 inf + 87 2.547 * * [simplify]: Extracting #5: cost 2 inf + 500 2.547 * * [simplify]: Extracting #6: cost 0 inf + 746 2.548 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2)) 2.548 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))) (sqrt k))) 2.548 * * * * [progress]: [ 10 / 127 ] simplifiying candidate # 2.548 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2)) 2.548 * * [simplify]: iters left: 5 (6 enodes) 2.552 * * [simplify]: iters left: 4 (26 enodes) 2.560 * * [simplify]: iters left: 3 (35 enodes) 2.569 * * [simplify]: Extracting #0: cost 1 inf + 0 2.569 * * [simplify]: Extracting #1: cost 3 inf + 0 2.569 * * [simplify]: Extracting #2: cost 8 inf + 0 2.569 * * [simplify]: Extracting #3: cost 11 inf + 2 2.569 * * [simplify]: Extracting #4: cost 8 inf + 87 2.570 * * [simplify]: Extracting #5: cost 2 inf + 460 2.570 * * [simplify]: Extracting #6: cost 0 inf + 666 2.570 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2)) 2.570 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))) (sqrt k))) 2.570 * * * * [progress]: [ 11 / 127 ] simplifiying candidate # 2.571 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2)) 2.571 * * [simplify]: iters left: 5 (7 enodes) 2.574 * * [simplify]: iters left: 4 (25 enodes) 2.582 * * [simplify]: iters left: 3 (30 enodes) 2.591 * * [simplify]: Extracting #0: cost 1 inf + 0 2.591 * * [simplify]: Extracting #1: cost 4 inf + 0 2.591 * * [simplify]: Extracting #2: cost 8 inf + 0 2.591 * * [simplify]: Extracting #3: cost 10 inf + 82 2.591 * * [simplify]: Extracting #4: cost 7 inf + 206 2.592 * * [simplify]: Extracting #5: cost 2 inf + 575 2.592 * * [simplify]: Extracting #6: cost 1 inf + 818 2.592 * * [simplify]: Extracting #7: cost 0 inf + 1061 2.593 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2)) 2.593 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))) (sqrt k))) 2.593 * * * * [progress]: [ 12 / 127 ] simplifiying candidate # 2.593 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2)) 2.593 * * [simplify]: iters left: 5 (7 enodes) 2.597 * * [simplify]: iters left: 4 (25 enodes) 2.604 * * [simplify]: iters left: 3 (30 enodes) 2.609 * * [simplify]: Extracting #0: cost 1 inf + 0 2.609 * * [simplify]: Extracting #1: cost 4 inf + 0 2.609 * * [simplify]: Extracting #2: cost 8 inf + 0 2.609 * * [simplify]: Extracting #3: cost 10 inf + 42 2.609 * * [simplify]: Extracting #4: cost 7 inf + 126 2.609 * * [simplify]: Extracting #5: cost 2 inf + 495 2.609 * * [simplify]: Extracting #6: cost 1 inf + 698 2.609 * * [simplify]: Extracting #7: cost 0 inf + 901 2.610 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2)) 2.610 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2))) (sqrt k))) 2.610 * * * * [progress]: [ 13 / 127 ] simplifiying candidate # 2.610 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2) 2.610 * * [simplify]: iters left: 5 (6 enodes) 2.612 * * [simplify]: iters left: 4 (22 enodes) 2.615 * * [simplify]: iters left: 3 (27 enodes) 2.621 * * [simplify]: Extracting #0: cost 1 inf + 0 2.621 * * [simplify]: Extracting #1: cost 4 inf + 0 2.621 * * [simplify]: Extracting #2: cost 5 inf + 1 2.621 * * [simplify]: Extracting #3: cost 9 inf + 1 2.621 * * [simplify]: Extracting #4: cost 8 inf + 3 2.622 * * [simplify]: Extracting #5: cost 4 inf + 169 2.622 * * [simplify]: Extracting #6: cost 1 inf + 576 2.622 * * [simplify]: Extracting #7: cost 0 inf + 739 2.622 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 2.622 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2)) (sqrt k))) 2.622 * * * * [progress]: [ 14 / 127 ] simplifiying candidate # 2.622 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2)) 2.622 * * [simplify]: iters left: 5 (7 enodes) 2.624 * * [simplify]: iters left: 4 (25 enodes) 2.629 * * [simplify]: iters left: 3 (30 enodes) 2.633 * * [simplify]: Extracting #0: cost 1 inf + 0 2.633 * * [simplify]: Extracting #1: cost 4 inf + 0 2.633 * * [simplify]: Extracting #2: cost 8 inf + 0 2.633 * * [simplify]: Extracting #3: cost 10 inf + 82 2.633 * * [simplify]: Extracting #4: cost 7 inf + 206 2.633 * * [simplify]: Extracting #5: cost 2 inf + 495 2.634 * * [simplify]: Extracting #6: cost 1 inf + 698 2.634 * * [simplify]: Extracting #7: cost 0 inf + 901 2.634 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2)) 2.634 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2))) (sqrt k))) 2.634 * * * * [progress]: [ 15 / 127 ] simplifiying candidate # 2.634 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2)) 2.634 * * [simplify]: iters left: 5 (7 enodes) 2.636 * * [simplify]: iters left: 4 (25 enodes) 2.640 * * [simplify]: iters left: 3 (30 enodes) 2.645 * * [simplify]: Extracting #0: cost 1 inf + 0 2.645 * * [simplify]: Extracting #1: cost 4 inf + 0 2.645 * * [simplify]: Extracting #2: cost 8 inf + 0 2.645 * * [simplify]: Extracting #3: cost 10 inf + 42 2.645 * * [simplify]: Extracting #4: cost 7 inf + 126 2.645 * * [simplify]: Extracting #5: cost 2 inf + 415 2.645 * * [simplify]: Extracting #6: cost 1 inf + 578 2.646 * * [simplify]: Extracting #7: cost 0 inf + 741 2.646 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2)) 2.646 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))) (sqrt k))) 2.646 * * * * [progress]: [ 16 / 127 ] simplifiying candidate # 2.646 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2) 2.646 * * [simplify]: iters left: 5 (6 enodes) 2.648 * * [simplify]: iters left: 4 (22 enodes) 2.652 * * [simplify]: iters left: 3 (27 enodes) 2.656 * * [simplify]: Extracting #0: cost 1 inf + 0 2.656 * * [simplify]: Extracting #1: cost 4 inf + 0 2.656 * * [simplify]: Extracting #2: cost 5 inf + 1 2.656 * * [simplify]: Extracting #3: cost 9 inf + 1 2.656 * * [simplify]: Extracting #4: cost 8 inf + 3 2.656 * * [simplify]: Extracting #5: cost 4 inf + 169 2.656 * * [simplify]: Extracting #6: cost 1 inf + 456 2.657 * * [simplify]: Extracting #7: cost 0 inf + 579 2.657 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 2.657 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)) (sqrt k))) 2.657 * * * * [progress]: [ 17 / 127 ] simplifiying candidate # 2.657 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 2.657 * * [simplify]: iters left: 4 (6 enodes) 2.659 * * [simplify]: iters left: 3 (25 enodes) 2.663 * * [simplify]: iters left: 2 (36 enodes) 2.669 * * [simplify]: iters left: 1 (40 enodes) 2.675 * * [simplify]: Extracting #0: cost 1 inf + 0 2.675 * * [simplify]: Extracting #1: cost 7 inf + 0 2.675 * * [simplify]: Extracting #2: cost 16 inf + 0 2.675 * * [simplify]: Extracting #3: cost 13 inf + 44 2.675 * * [simplify]: Extracting #4: cost 3 inf + 1103 2.675 * * [simplify]: Extracting #5: cost 0 inf + 1469 2.676 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 2.676 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (sqrt k))) 2.676 * * * * [progress]: [ 18 / 127 ] simplifiying candidate # 2.676 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 2.676 * * [simplify]: iters left: 4 (6 enodes) 2.678 * * [simplify]: iters left: 3 (25 enodes) 2.683 * * [simplify]: iters left: 2 (36 enodes) 2.689 * * [simplify]: iters left: 1 (40 enodes) 2.697 * * [simplify]: Extracting #0: cost 1 inf + 0 2.697 * * [simplify]: Extracting #1: cost 7 inf + 0 2.697 * * [simplify]: Extracting #2: cost 16 inf + 0 2.697 * * [simplify]: Extracting #3: cost 13 inf + 44 2.697 * * [simplify]: Extracting #4: cost 3 inf + 823 2.698 * * [simplify]: Extracting #5: cost 0 inf + 1069 2.698 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 2.698 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt k))) 2.699 * * * * [progress]: [ 19 / 127 ] simplifiying candidate # 2.699 * [simplify]: Simplifying (/ (- 1 k) 2) 2.699 * * [simplify]: iters left: 4 (5 enodes) 2.703 * * [simplify]: iters left: 3 (23 enodes) 2.713 * * [simplify]: iters left: 2 (32 enodes) 2.722 * * [simplify]: Extracting #0: cost 1 inf + 0 2.722 * * [simplify]: Extracting #1: cost 6 inf + 0 2.722 * * [simplify]: Extracting #2: cost 9 inf + 2 2.723 * * [simplify]: Extracting #3: cost 6 inf + 87 2.723 * * [simplify]: Extracting #4: cost 0 inf + 420 2.723 * [simplify]: Simplified to (/ (- 1 k) 2) 2.723 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (sqrt k))) 2.723 * * * * [progress]: [ 20 / 127 ] simplifiying candidate # 2.724 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2.724 * * [simplify]: iters left: 5 (8 enodes) 2.729 * * [simplify]: iters left: 4 (31 enodes) 2.738 * * [simplify]: iters left: 3 (45 enodes) 2.750 * * [simplify]: iters left: 2 (51 enodes) 2.764 * * [simplify]: iters left: 1 (52 enodes) 2.777 * * [simplify]: Extracting #0: cost 1 inf + 0 2.777 * * [simplify]: Extracting #1: cost 8 inf + 0 2.777 * * [simplify]: Extracting #2: cost 18 inf + 0 2.777 * * [simplify]: Extracting #3: cost 19 inf + 2 2.778 * * [simplify]: Extracting #4: cost 9 inf + 977 2.778 * * [simplify]: Extracting #5: cost 2 inf + 1790 2.779 * * [simplify]: Extracting #6: cost 0 inf + 2195 2.779 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 2.779 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (sqrt k))) 2.780 * * * * [progress]: [ 21 / 127 ] simplifiying candidate # 2.780 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2.780 * * [simplify]: iters left: 5 (8 enodes) 2.784 * * [simplify]: iters left: 4 (31 enodes) 2.793 * * [simplify]: iters left: 3 (45 enodes) 2.799 * * [simplify]: iters left: 2 (51 enodes) 2.806 * * [simplify]: iters left: 1 (52 enodes) 2.813 * * [simplify]: Extracting #0: cost 1 inf + 0 2.813 * * [simplify]: Extracting #1: cost 8 inf + 0 2.813 * * [simplify]: Extracting #2: cost 18 inf + 0 2.813 * * [simplify]: Extracting #3: cost 19 inf + 2 2.814 * * [simplify]: Extracting #4: cost 9 inf + 697 2.814 * * [simplify]: Extracting #5: cost 2 inf + 1390 2.814 * * [simplify]: Extracting #6: cost 0 inf + 1715 2.815 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 2.815 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (sqrt k))) 2.815 * * * * [progress]: [ 22 / 127 ] simplifiying candidate # 2.815 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 2.815 * * [simplify]: iters left: 5 (7 enodes) 2.818 * * [simplify]: iters left: 4 (29 enodes) 2.823 * * [simplify]: iters left: 3 (43 enodes) 2.831 * * [simplify]: iters left: 2 (47 enodes) 2.837 * * [simplify]: Extracting #0: cost 1 inf + 0 2.837 * * [simplify]: Extracting #1: cost 7 inf + 0 2.837 * * [simplify]: Extracting #2: cost 11 inf + 2 2.837 * * [simplify]: Extracting #3: cost 13 inf + 3 2.837 * * [simplify]: Extracting #4: cost 11 inf + 45 2.837 * * [simplify]: Extracting #5: cost 0 inf + 1066 2.838 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 2.838 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 2.838 * * * * [progress]: [ 23 / 127 ] simplifiying candidate # 2.838 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 2.838 * * [simplify]: iters left: 5 (7 enodes) 2.840 * * [simplify]: iters left: 4 (28 enodes) 2.845 * * [simplify]: iters left: 3 (39 enodes) 2.857 * * [simplify]: iters left: 2 (43 enodes) 2.870 * * [simplify]: Extracting #0: cost 1 inf + 0 2.870 * * [simplify]: Extracting #1: cost 7 inf + 0 2.870 * * [simplify]: Extracting #2: cost 16 inf + 0 2.870 * * [simplify]: Extracting #3: cost 15 inf + 164 2.870 * * [simplify]: Extracting #4: cost 13 inf + 287 2.871 * * [simplify]: Extracting #5: cost 5 inf + 1180 2.871 * * [simplify]: Extracting #6: cost 0 inf + 1951 2.872 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 2.872 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (sqrt k))) 2.872 * * * * [progress]: [ 24 / 127 ] simplifiying candidate # 2.872 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 2.873 * * [simplify]: iters left: 5 (7 enodes) 2.876 * * [simplify]: iters left: 4 (28 enodes) 2.885 * * [simplify]: iters left: 3 (39 enodes) 2.895 * * [simplify]: iters left: 2 (43 enodes) 2.907 * * [simplify]: Extracting #0: cost 1 inf + 0 2.907 * * [simplify]: Extracting #1: cost 7 inf + 0 2.907 * * [simplify]: Extracting #2: cost 16 inf + 0 2.907 * * [simplify]: Extracting #3: cost 15 inf + 84 2.907 * * [simplify]: Extracting #4: cost 13 inf + 167 2.908 * * [simplify]: Extracting #5: cost 5 inf + 900 2.908 * * [simplify]: Extracting #6: cost 0 inf + 1551 2.909 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 2.909 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (sqrt k))) 2.909 * * * * [progress]: [ 25 / 127 ] simplifiying candidate # 2.909 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 2.909 * * [simplify]: iters left: 5 (6 enodes) 2.913 * * [simplify]: iters left: 4 (26 enodes) 2.921 * * [simplify]: iters left: 3 (35 enodes) 2.930 * * [simplify]: Extracting #0: cost 1 inf + 0 2.930 * * [simplify]: Extracting #1: cost 6 inf + 0 2.930 * * [simplify]: Extracting #2: cost 9 inf + 2 2.930 * * [simplify]: Extracting #3: cost 11 inf + 3 2.930 * * [simplify]: Extracting #4: cost 10 inf + 4 2.930 * * [simplify]: Extracting #5: cost 3 inf + 535 2.930 * * [simplify]: Extracting #6: cost 0 inf + 822 2.931 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 2.931 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 2.931 * * * * [progress]: [ 26 / 127 ] simplifiying candidate # 2.931 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 2.931 * * [simplify]: iters left: 4 (6 enodes) 2.935 * * [simplify]: iters left: 3 (25 enodes) 2.943 * * [simplify]: iters left: 2 (36 enodes) 2.952 * * [simplify]: iters left: 1 (40 enodes) 2.965 * * [simplify]: Extracting #0: cost 1 inf + 0 2.965 * * [simplify]: Extracting #1: cost 7 inf + 0 2.965 * * [simplify]: Extracting #2: cost 16 inf + 0 2.965 * * [simplify]: Extracting #3: cost 13 inf + 44 2.965 * * [simplify]: Extracting #4: cost 3 inf + 1103 2.966 * * [simplify]: Extracting #5: cost 0 inf + 1469 2.966 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 2.966 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (sqrt k))) 2.967 * * * * [progress]: [ 27 / 127 ] simplifiying candidate # 2.967 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 2.967 * * [simplify]: iters left: 4 (6 enodes) 2.970 * * [simplify]: iters left: 3 (25 enodes) 2.975 * * [simplify]: iters left: 2 (36 enodes) 2.981 * * [simplify]: iters left: 1 (40 enodes) 2.987 * * [simplify]: Extracting #0: cost 1 inf + 0 2.987 * * [simplify]: Extracting #1: cost 7 inf + 0 2.987 * * [simplify]: Extracting #2: cost 16 inf + 0 2.987 * * [simplify]: Extracting #3: cost 13 inf + 44 2.987 * * [simplify]: Extracting #4: cost 3 inf + 823 2.987 * * [simplify]: Extracting #5: cost 0 inf + 1069 2.988 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 2.988 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt k))) 2.988 * * * * [progress]: [ 28 / 127 ] simplifiying candidate # 2.988 * [simplify]: Simplifying (/ (- 1 k) 2) 2.988 * * [simplify]: iters left: 4 (5 enodes) 2.990 * * [simplify]: iters left: 3 (23 enodes) 2.994 * * [simplify]: iters left: 2 (32 enodes) 3.002 * * [simplify]: Extracting #0: cost 1 inf + 0 3.002 * * [simplify]: Extracting #1: cost 6 inf + 0 3.002 * * [simplify]: Extracting #2: cost 9 inf + 2 3.003 * * [simplify]: Extracting #3: cost 6 inf + 87 3.003 * * [simplify]: Extracting #4: cost 0 inf + 420 3.003 * [simplify]: Simplified to (/ (- 1 k) 2) 3.003 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (sqrt k))) 3.003 * * * * [progress]: [ 29 / 127 ] simplifiying candidate # 3.003 * [simplify]: Simplifying (/ (- 1 k) 2) 3.003 * * [simplify]: iters left: 4 (5 enodes) 3.007 * * [simplify]: iters left: 3 (23 enodes) 3.014 * * [simplify]: iters left: 2 (32 enodes) 3.023 * * [simplify]: Extracting #0: cost 1 inf + 0 3.023 * * [simplify]: Extracting #1: cost 6 inf + 0 3.023 * * [simplify]: Extracting #2: cost 9 inf + 2 3.023 * * [simplify]: Extracting #3: cost 6 inf + 87 3.023 * * [simplify]: Extracting #4: cost 0 inf + 420 3.023 * [simplify]: Simplified to (/ (- 1 k) 2) 3.024 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (sqrt k))) 3.024 * * * * [progress]: [ 30 / 127 ] simplifiying candidate # 3.024 * [simplify]: Simplifying (/ 1 2) 3.024 * * [simplify]: iters left: 2 (3 enodes) 3.027 * * [simplify]: iters left: 1 (12 enodes) 3.031 * * [simplify]: Extracting #0: cost 1 inf + 0 3.031 * * [simplify]: Extracting #1: cost 0 inf + 1 3.031 * [simplify]: Simplified to 1/2 3.031 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (- 1 k)) 1/2) (sqrt k))) 3.031 * * * * [progress]: [ 31 / 127 ] simplifiying candidate # 3.031 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 3.031 * * [simplify]: iters left: 5 (7 enodes) 3.036 * * [simplify]: iters left: 4 (32 enodes) 3.046 * * [simplify]: iters left: 3 (57 enodes) 3.064 * * [simplify]: iters left: 2 (88 enodes) 3.088 * * [simplify]: iters left: 1 (156 enodes) 3.126 * * [simplify]: Extracting #0: cost 1 inf + 0 3.126 * * [simplify]: Extracting #1: cost 13 inf + 0 3.127 * * [simplify]: Extracting #2: cost 49 inf + 2 3.127 * * [simplify]: Extracting #3: cost 80 inf + 6 3.128 * * [simplify]: Extracting #4: cost 58 inf + 1840 3.131 * * [simplify]: Extracting #5: cost 22 inf + 9206 3.135 * * [simplify]: Extracting #6: cost 1 inf + 20886 3.140 * * [simplify]: Extracting #7: cost 0 inf + 21301 3.145 * * [simplify]: Extracting #8: cost 0 inf + 21130 3.150 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 3.151 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 3.151 * * * * [progress]: [ 32 / 127 ] simplifiying candidate # 3.151 * * * * [progress]: [ 33 / 127 ] simplifiying candidate # 3.151 * * * * [progress]: [ 34 / 127 ] simplifiying candidate # 3.151 * * * * [progress]: [ 35 / 127 ] simplifiying candidate # 3.151 * * * * [progress]: [ 36 / 127 ] simplifiying candidate # 3.151 * * * * [progress]: [ 37 / 127 ] simplifiying candidate # 3.151 * * * * [progress]: [ 38 / 127 ] simplifiying candidate # 3.151 * * * * [progress]: [ 39 / 127 ] simplifiying candidate # 3.151 * * * * [progress]: [ 40 / 127 ] simplifiying candidate #real (real->posit16 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k)))> 3.151 * * * * [progress]: [ 41 / 127 ] simplifiying candidate # 3.152 * [simplify]: Simplifying (* n (* 2 PI)) 3.152 * * [simplify]: iters left: 4 (5 enodes) 3.154 * * [simplify]: iters left: 3 (19 enodes) 3.160 * * [simplify]: iters left: 2 (27 enodes) 3.165 * * [simplify]: iters left: 1 (32 enodes) 3.169 * * [simplify]: Extracting #0: cost 1 inf + 0 3.169 * * [simplify]: Extracting #1: cost 8 inf + 0 3.169 * * [simplify]: Extracting #2: cost 7 inf + 45 3.169 * * [simplify]: Extracting #3: cost 0 inf + 421 3.169 * [simplify]: Simplified to (* (* PI 2) n) 3.169 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (sqrt k))) 3.169 * * * * [progress]: [ 42 / 127 ] simplifiying candidate # 3.170 * [simplify]: Simplifying (* n (* 2 PI)) 3.170 * * [simplify]: iters left: 4 (5 enodes) 3.171 * * [simplify]: iters left: 3 (19 enodes) 3.175 * * [simplify]: iters left: 2 (27 enodes) 3.179 * * [simplify]: iters left: 1 (32 enodes) 3.185 * * [simplify]: Extracting #0: cost 1 inf + 0 3.185 * * [simplify]: Extracting #1: cost 8 inf + 0 3.186 * * [simplify]: Extracting #2: cost 7 inf + 45 3.186 * * [simplify]: Extracting #3: cost 0 inf + 421 3.186 * [simplify]: Simplified to (* (* PI 2) n) 3.186 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (sqrt k))) 3.186 * * * * [progress]: [ 43 / 127 ] simplifiying candidate # 3.186 * * * * [progress]: [ 44 / 127 ] simplifiying candidate # 3.186 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI))) 3.186 * * [simplify]: iters left: 5 (8 enodes) 3.189 * * [simplify]: iters left: 4 (28 enodes) 3.193 * * [simplify]: iters left: 3 (36 enodes) 3.201 * * [simplify]: iters left: 2 (42 enodes) 3.210 * * [simplify]: Extracting #0: cost 1 inf + 0 3.211 * * [simplify]: Extracting #1: cost 8 inf + 0 3.211 * * [simplify]: Extracting #2: cost 17 inf + 0 3.211 * * [simplify]: Extracting #3: cost 12 inf + 145 3.211 * * [simplify]: Extracting #4: cost 5 inf + 1197 3.211 * * [simplify]: Extracting #5: cost 1 inf + 1925 3.212 * * [simplify]: Extracting #6: cost 0 inf + 2107 3.212 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI))) 3.213 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (- 1 k) 2)) (sqrt k))) 3.213 * * * * [progress]: [ 45 / 127 ] simplifiying candidate # 3.213 * [simplify]: Simplifying (+ (log n) (log (* 2 PI))) 3.213 * * [simplify]: iters left: 5 (7 enodes) 3.216 * * [simplify]: iters left: 4 (26 enodes) 3.224 * * [simplify]: iters left: 3 (35 enodes) 3.234 * * [simplify]: iters left: 2 (44 enodes) 3.246 * * [simplify]: Extracting #0: cost 1 inf + 0 3.246 * * [simplify]: Extracting #1: cost 8 inf + 0 3.246 * * [simplify]: Extracting #2: cost 18 inf + 0 3.247 * * [simplify]: Extracting #3: cost 15 inf + 74 3.247 * * [simplify]: Extracting #4: cost 8 inf + 554 3.247 * * [simplify]: Extracting #5: cost 0 inf + 1911 3.248 * [simplify]: Simplified to (+ (log n) (log (* 2 PI))) 3.248 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (exp (+ (log n) (log (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k))) 3.248 * * * * [progress]: [ 46 / 127 ] simplifiying candidate # 3.248 * * * * [progress]: [ 47 / 127 ] simplifiying candidate # 3.248 * * * * [progress]: [ 48 / 127 ] simplifiying candidate # 3.249 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI))) 3.249 * * [simplify]: iters left: 6 (11 enodes) 3.256 * * [simplify]: iters left: 5 (48 enodes) 3.272 * * [simplify]: iters left: 4 (121 enodes) 3.324 * * [simplify]: iters left: 3 (348 enodes) 3.520 * * [simplify]: Extracting #0: cost 1 inf + 0 3.520 * * [simplify]: Extracting #1: cost 67 inf + 0 3.521 * * [simplify]: Extracting #2: cost 165 inf + 786 3.523 * * [simplify]: Extracting #3: cost 85 inf + 10177 3.529 * * [simplify]: Extracting #4: cost 9 inf + 26399 3.539 * * [simplify]: Extracting #5: cost 0 inf + 28546 3.545 * * [simplify]: Extracting #6: cost 0 inf + 28506 3.559 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI)) 3.559 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (cbrt (* (* (* (* n PI) (* n PI)) 8) (* n PI))) (/ (- 1 k) 2)) (sqrt k))) 3.559 * * * * [progress]: [ 49 / 127 ] simplifiying candidate # 3.559 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI))) 3.560 * * [simplify]: iters left: 6 (9 enodes) 3.564 * * [simplify]: iters left: 5 (45 enodes) 3.573 * * [simplify]: iters left: 4 (117 enodes) 3.610 * * [simplify]: iters left: 3 (374 enodes) 3.850 * * [simplify]: Extracting #0: cost 1 inf + 0 3.850 * * [simplify]: Extracting #1: cost 77 inf + 0 3.852 * * [simplify]: Extracting #2: cost 184 inf + 984 3.855 * * [simplify]: Extracting #3: cost 106 inf + 11690 3.867 * * [simplify]: Extracting #4: cost 6 inf + 30376 3.876 * * [simplify]: Extracting #5: cost 0 inf + 31644 3.888 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n)) 3.888 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (cbrt (* (* (* (* PI n) (* PI n)) 8) (* PI n))) (/ (- 1 k) 2)) (sqrt k))) 3.888 * * * * [progress]: [ 50 / 127 ] simplifiying candidate # 3.888 * * * * [progress]: [ 51 / 127 ] simplifiying candidate # 3.889 * * * * [progress]: [ 52 / 127 ] simplifiying candidate # 3.889 * * * * [progress]: [ 53 / 127 ] simplifiying candidate # 3.889 * * * * [progress]: [ 54 / 127 ] simplifiying candidate # 3.889 * * * * [progress]: [ 55 / 127 ] simplifiying candidate # 3.889 * [simplify]: Simplifying (* (cbrt n) (cbrt n)) 3.889 * * [simplify]: iters left: 3 (3 enodes) 3.890 * * [simplify]: iters left: 2 (9 enodes) 3.893 * * [simplify]: Extracting #0: cost 1 inf + 0 3.893 * * [simplify]: Extracting #1: cost 3 inf + 0 3.893 * * [simplify]: Extracting #2: cost 5 inf + 0 3.893 * * [simplify]: Extracting #3: cost 4 inf + 1 3.893 * * [simplify]: Extracting #4: cost 0 inf + 405 3.893 * [simplify]: Simplified to (* (cbrt n) (cbrt n)) 3.893 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (- 1 k) 2)) (sqrt k))) 3.893 * * * * [progress]: [ 56 / 127 ] simplifiying candidate # 3.893 * [simplify]: Simplifying (sqrt n) 3.893 * * [simplify]: iters left: 1 (2 enodes) 3.894 * * [simplify]: Extracting #0: cost 1 inf + 0 3.894 * * [simplify]: Extracting #1: cost 3 inf + 0 3.894 * * [simplify]: Extracting #2: cost 2 inf + 1 3.894 * * [simplify]: Extracting #3: cost 0 inf + 83 3.894 * [simplify]: Simplified to (sqrt n) 3.894 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (- 1 k) 2)) (sqrt k))) 3.895 * * * * [progress]: [ 57 / 127 ] simplifiying candidate # 3.895 * * * * [progress]: [ 58 / 127 ] simplifiying candidate #real (real->posit16 (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))> 3.895 * * * * [progress]: [ 59 / 127 ] simplifiying candidate # 3.895 * * * * [progress]: [ 60 / 127 ] simplifiying candidate # 3.895 * * * * [progress]: [ 61 / 127 ] simplifiying candidate # 3.895 * [simplify]: Simplifying (- (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (log (sqrt k))) 3.895 * * [simplify]: iters left: 6 (16 enodes) 3.903 * * [simplify]: iters left: 5 (65 enodes) 3.913 * * [simplify]: iters left: 4 (111 enodes) 3.940 * * [simplify]: iters left: 3 (294 enodes) 4.020 * * [simplify]: Extracting #0: cost 1 inf + 0 4.021 * * [simplify]: Extracting #1: cost 32 inf + 0 4.021 * * [simplify]: Extracting #2: cost 82 inf + 0 4.021 * * [simplify]: Extracting #3: cost 145 inf + 73 4.022 * * [simplify]: Extracting #4: cost 158 inf + 1797 4.026 * * [simplify]: Extracting #5: cost 56 inf + 27690 4.038 * * [simplify]: Extracting #6: cost 4 inf + 45043 4.047 * * [simplify]: Extracting #7: cost 0 inf + 46559 4.055 * [simplify]: Simplified to (- (/ (- (+ (log PI) (+ (log n) (log 2))) (* k (+ (log PI) (+ (log n) (log 2))))) 2) (log (sqrt k))) 4.055 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log PI) (+ (log n) (log 2))) (* k (+ (log PI) (+ (log n) (log 2))))) 2) (log (sqrt k))))) 4.056 * * * * [progress]: [ 62 / 127 ] simplifiying candidate # 4.056 * [simplify]: Simplifying (- (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k))) 4.056 * * [simplify]: iters left: 6 (15 enodes) 4.060 * * [simplify]: iters left: 5 (63 enodes) 4.078 * * [simplify]: iters left: 4 (104 enodes) 4.101 * * [simplify]: iters left: 3 (238 enodes) 4.188 * * [simplify]: Extracting #0: cost 1 inf + 0 4.188 * * [simplify]: Extracting #1: cost 30 inf + 0 4.188 * * [simplify]: Extracting #2: cost 78 inf + 0 4.189 * * [simplify]: Extracting #3: cost 131 inf + 73 4.189 * * [simplify]: Extracting #4: cost 147 inf + 821 4.192 * * [simplify]: Extracting #5: cost 71 inf + 15644 4.200 * * [simplify]: Extracting #6: cost 4 inf + 36895 4.209 * * [simplify]: Extracting #7: cost 0 inf + 38761 4.224 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))) 4.225 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))))) 4.225 * * * * [progress]: [ 63 / 127 ] simplifiying candidate # 4.225 * [simplify]: Simplifying (- (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k))) 4.225 * * [simplify]: iters left: 6 (14 enodes) 4.234 * * [simplify]: iters left: 5 (62 enodes) 4.248 * * [simplify]: iters left: 4 (111 enodes) 4.266 * * [simplify]: iters left: 3 (223 enodes) 4.336 * * [simplify]: Extracting #0: cost 1 inf + 0 4.336 * * [simplify]: Extracting #1: cost 19 inf + 0 4.336 * * [simplify]: Extracting #2: cost 67 inf + 0 4.337 * * [simplify]: Extracting #3: cost 123 inf + 2 4.338 * * [simplify]: Extracting #4: cost 139 inf + 1713 4.346 * * [simplify]: Extracting #5: cost 32 inf + 23885 4.358 * * [simplify]: Extracting #6: cost 0 inf + 31232 4.370 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 4.370 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 4.370 * * * * [progress]: [ 64 / 127 ] simplifiying candidate # 4.370 * [simplify]: Simplifying (- (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k))) 4.370 * * [simplify]: iters left: 6 (14 enodes) 4.379 * * [simplify]: iters left: 5 (62 enodes) 4.400 * * [simplify]: iters left: 4 (111 enodes) 4.442 * * [simplify]: iters left: 3 (223 enodes) 4.509 * * [simplify]: Extracting #0: cost 1 inf + 0 4.509 * * [simplify]: Extracting #1: cost 19 inf + 0 4.509 * * [simplify]: Extracting #2: cost 67 inf + 0 4.510 * * [simplify]: Extracting #3: cost 123 inf + 2 4.511 * * [simplify]: Extracting #4: cost 139 inf + 1713 4.522 * * [simplify]: Extracting #5: cost 32 inf + 23885 4.534 * * [simplify]: Extracting #6: cost 0 inf + 31232 4.540 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 4.540 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 4.540 * * * * [progress]: [ 65 / 127 ] simplifiying candidate # 4.541 * [simplify]: Simplifying (- (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (log (sqrt k))) 4.541 * * [simplify]: iters left: 6 (14 enodes) 4.545 * * [simplify]: iters left: 5 (61 enodes) 4.555 * * [simplify]: iters left: 4 (111 enodes) 4.574 * * [simplify]: iters left: 3 (218 enodes) 4.627 * * [simplify]: Extracting #0: cost 1 inf + 0 4.628 * * [simplify]: Extracting #1: cost 20 inf + 0 4.628 * * [simplify]: Extracting #2: cost 94 inf + 0 4.628 * * [simplify]: Extracting #3: cost 167 inf + 2 4.629 * * [simplify]: Extracting #4: cost 164 inf + 1228 4.631 * * [simplify]: Extracting #5: cost 76 inf + 17725 4.640 * * [simplify]: Extracting #6: cost 9 inf + 35809 4.646 * * [simplify]: Extracting #7: cost 0 inf + 40227 4.653 * [simplify]: Simplified to (- (/ (* (log (* (* PI 2) n)) (- 1 k)) 2) (log (sqrt k))) 4.653 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (* (log (* (* PI 2) n)) (- 1 k)) 2) (log (sqrt k))))) 4.653 * * * * [progress]: [ 66 / 127 ] simplifiying candidate # 4.653 * * * * [progress]: [ 67 / 127 ] simplifiying candidate # 4.653 * * * * [progress]: [ 68 / 127 ] simplifiying candidate # 4.653 * [simplify]: Simplifying (/ (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (* (sqrt k) (sqrt k)) (sqrt k))) 4.654 * * [simplify]: iters left: 6 (16 enodes) 4.658 * * [simplify]: iters left: 5 (72 enodes) 4.674 * * [simplify]: iters left: 4 (165 enodes) 4.732 * * [simplify]: iters left: 3 (474 enodes) 4.980 * * [simplify]: Extracting #0: cost 1 inf + 0 4.980 * * [simplify]: Extracting #1: cost 172 inf + 0 4.981 * * [simplify]: Extracting #2: cost 449 inf + 1 4.983 * * [simplify]: Extracting #3: cost 500 inf + 248 4.985 * * [simplify]: Extracting #4: cost 476 inf + 4785 4.997 * * [simplify]: Extracting #5: cost 302 inf + 101232 5.059 * * [simplify]: Extracting #6: cost 26 inf + 307299 5.109 * * [simplify]: Extracting #7: cost 0 inf + 323493 5.159 * * [simplify]: Extracting #8: cost 0 inf + 323103 5.217 * [simplify]: Simplified to (/ (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) (/ k (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 5.217 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (/ (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) (/ k (pow (* (* PI 2) n) (/ (- 1 k) 2)))))) 5.217 * * * * [progress]: [ 69 / 127 ] simplifiying candidate # 5.218 * * * * [progress]: [ 70 / 127 ] simplifiying candidate # 5.218 * * * * [progress]: [ 71 / 127 ] simplifiying candidate # 5.218 * * * * [progress]: [ 72 / 127 ] simplifiying candidate # 5.218 * * * * [progress]: [ 73 / 127 ] simplifiying candidate # 5.218 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 5.218 * * [simplify]: iters left: 6 (11 enodes) 5.221 * * [simplify]: iters left: 5 (46 enodes) 5.231 * * [simplify]: iters left: 4 (79 enodes) 5.253 * * [simplify]: iters left: 3 (135 enodes) 5.293 * * [simplify]: iters left: 2 (270 enodes) 5.364 * * [simplify]: Extracting #0: cost 1 inf + 0 5.364 * * [simplify]: Extracting #1: cost 56 inf + 0 5.364 * * [simplify]: Extracting #2: cost 151 inf + 0 5.365 * * [simplify]: Extracting #3: cost 211 inf + 3 5.366 * * [simplify]: Extracting #4: cost 182 inf + 8248 5.374 * * [simplify]: Extracting #5: cost 108 inf + 32321 5.383 * * [simplify]: Extracting #6: cost 40 inf + 73343 5.405 * * [simplify]: Extracting #7: cost 0 inf + 103841 5.423 * * [simplify]: Extracting #8: cost 0 inf + 103639 5.436 * * [simplify]: Extracting #9: cost 0 inf + 103517 5.452 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 5.452 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k))))) 5.453 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k))) 5.453 * * [simplify]: iters left: 6 (11 enodes) 5.456 * * [simplify]: iters left: 5 (45 enodes) 5.463 * * [simplify]: iters left: 4 (68 enodes) 5.476 * * [simplify]: iters left: 3 (110 enodes) 5.504 * * [simplify]: iters left: 2 (217 enodes) 5.574 * * [simplify]: iters left: 1 (456 enodes) 5.729 * * [simplify]: Extracting #0: cost 1 inf + 0 5.729 * * [simplify]: Extracting #1: cost 44 inf + 0 5.729 * * [simplify]: Extracting #2: cost 133 inf + 0 5.730 * * [simplify]: Extracting #3: cost 211 inf + 3 5.732 * * [simplify]: Extracting #4: cost 209 inf + 1047 5.736 * * [simplify]: Extracting #5: cost 156 inf + 8593 5.743 * * [simplify]: Extracting #6: cost 83 inf + 43654 5.757 * * [simplify]: Extracting #7: cost 10 inf + 107740 5.781 * * [simplify]: Extracting #8: cost 0 inf + 116394 5.815 * * [simplify]: Extracting #9: cost 0 inf + 115425 5.847 * * [simplify]: Extracting #10: cost 0 inf + 114468 5.872 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (cbrt (sqrt k))) 5.872 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (cbrt (sqrt k))))) 5.872 * * * * [progress]: [ 74 / 127 ] simplifiying candidate # 5.873 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (* (cbrt k) (cbrt k)))) 5.873 * * [simplify]: iters left: 6 (11 enodes) 5.876 * * [simplify]: iters left: 5 (45 enodes) 5.883 * * [simplify]: iters left: 4 (72 enodes) 5.899 * * [simplify]: iters left: 3 (113 enodes) 5.935 * * [simplify]: iters left: 2 (202 enodes) 5.976 * * [simplify]: iters left: 1 (423 enodes) 6.113 * * [simplify]: Extracting #0: cost 1 inf + 0 6.114 * * [simplify]: Extracting #1: cost 45 inf + 0 6.114 * * [simplify]: Extracting #2: cost 135 inf + 0 6.115 * * [simplify]: Extracting #3: cost 200 inf + 4 6.116 * * [simplify]: Extracting #4: cost 178 inf + 4405 6.121 * * [simplify]: Extracting #5: cost 89 inf + 41805 6.133 * * [simplify]: Extracting #6: cost 6 inf + 96015 6.149 * * [simplify]: Extracting #7: cost 0 inf + 93673 6.173 * * [simplify]: Extracting #8: cost 0 inf + 88687 6.209 * * [simplify]: Extracting #9: cost 0 inf + 87603 6.241 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) 6.241 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 6.242 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k))) 6.242 * * [simplify]: iters left: 6 (11 enodes) 6.247 * * [simplify]: iters left: 5 (45 enodes) 6.260 * * [simplify]: iters left: 4 (68 enodes) 6.281 * * [simplify]: iters left: 3 (110 enodes) 6.316 * * [simplify]: iters left: 2 (217 enodes) 6.395 * * [simplify]: iters left: 1 (456 enodes) 6.566 * * [simplify]: Extracting #0: cost 1 inf + 0 6.566 * * [simplify]: Extracting #1: cost 44 inf + 0 6.566 * * [simplify]: Extracting #2: cost 133 inf + 0 6.567 * * [simplify]: Extracting #3: cost 211 inf + 3 6.568 * * [simplify]: Extracting #4: cost 209 inf + 1127 6.571 * * [simplify]: Extracting #5: cost 156 inf + 8673 6.583 * * [simplify]: Extracting #6: cost 83 inf + 43734 6.611 * * [simplify]: Extracting #7: cost 10 inf + 107820 6.643 * * [simplify]: Extracting #8: cost 0 inf + 116474 6.661 * * [simplify]: Extracting #9: cost 0 inf + 115505 6.690 * * [simplify]: Extracting #10: cost 0 inf + 114548 6.709 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (cbrt k))) 6.709 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (cbrt k))))) 6.709 * * * * [progress]: [ 75 / 127 ] simplifiying candidate # 6.710 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 6.710 * * [simplify]: iters left: 6 (10 enodes) 6.713 * * [simplify]: iters left: 5 (41 enodes) 6.720 * * [simplify]: iters left: 4 (68 enodes) 6.742 * * [simplify]: iters left: 3 (109 enodes) 6.764 * * [simplify]: iters left: 2 (194 enodes) 6.817 * * [simplify]: iters left: 1 (414 enodes) 6.998 * * [simplify]: Extracting #0: cost 1 inf + 0 6.998 * * [simplify]: Extracting #1: cost 45 inf + 0 6.999 * * [simplify]: Extracting #2: cost 141 inf + 0 7.001 * * [simplify]: Extracting #3: cost 206 inf + 4 7.004 * * [simplify]: Extracting #4: cost 178 inf + 9345 7.021 * * [simplify]: Extracting #5: cost 101 inf + 32669 7.038 * * [simplify]: Extracting #6: cost 15 inf + 90305 7.054 * * [simplify]: Extracting #7: cost 0 inf + 100314 7.069 * * [simplify]: Extracting #8: cost 0 inf + 100143 7.101 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 7.101 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 7.101 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 7.101 * * [simplify]: iters left: 6 (11 enodes) 7.108 * * [simplify]: iters left: 5 (45 enodes) 7.122 * * [simplify]: iters left: 4 (68 enodes) 7.147 * * [simplify]: iters left: 3 (110 enodes) 7.186 * * [simplify]: iters left: 2 (217 enodes) 7.271 * * [simplify]: iters left: 1 (456 enodes) 7.505 * * [simplify]: Extracting #0: cost 1 inf + 0 7.506 * * [simplify]: Extracting #1: cost 44 inf + 0 7.506 * * [simplify]: Extracting #2: cost 133 inf + 0 7.508 * * [simplify]: Extracting #3: cost 211 inf + 3 7.510 * * [simplify]: Extracting #4: cost 209 inf + 967 7.512 * * [simplify]: Extracting #5: cost 156 inf + 8433 7.518 * * [simplify]: Extracting #6: cost 83 inf + 42774 7.533 * * [simplify]: Extracting #7: cost 10 inf + 105380 7.561 * * [simplify]: Extracting #8: cost 0 inf + 113674 7.594 * * [simplify]: Extracting #9: cost 0 inf + 112705 7.617 * * [simplify]: Extracting #10: cost 0 inf + 111748 7.636 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k))) 7.636 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k))))) 7.636 * * * * [progress]: [ 76 / 127 ] simplifiying candidate # 7.637 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) 7.637 * * [simplify]: iters left: 6 (9 enodes) 7.640 * * [simplify]: iters left: 5 (38 enodes) 7.646 * * [simplify]: iters left: 4 (63 enodes) 7.656 * * [simplify]: iters left: 3 (100 enodes) 7.677 * * [simplify]: iters left: 2 (175 enodes) 7.721 * * [simplify]: iters left: 1 (360 enodes) 7.884 * * [simplify]: Extracting #0: cost 1 inf + 0 7.884 * * [simplify]: Extracting #1: cost 52 inf + 0 7.885 * * [simplify]: Extracting #2: cost 150 inf + 3 7.886 * * [simplify]: Extracting #3: cost 190 inf + 8 7.887 * * [simplify]: Extracting #4: cost 167 inf + 1999 7.890 * * [simplify]: Extracting #5: cost 109 inf + 14534 7.908 * * [simplify]: Extracting #6: cost 11 inf + 80954 7.929 * * [simplify]: Extracting #7: cost 0 inf + 87093 7.943 * * [simplify]: Extracting #8: cost 0 inf + 85003 7.966 * * [simplify]: Extracting #9: cost 0 inf + 84872 7.981 * [simplify]: Simplified to (pow n (- 1/2 (/ k 2))) 7.981 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 7.981 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 7.981 * * [simplify]: iters left: 6 (10 enodes) 7.986 * * [simplify]: iters left: 5 (42 enodes) 7.994 * * [simplify]: iters left: 4 (65 enodes) 8.009 * * [simplify]: iters left: 3 (104 enodes) 8.048 * * [simplify]: iters left: 2 (206 enodes) 8.125 * * [simplify]: iters left: 1 (433 enodes) 8.311 * * [simplify]: Extracting #0: cost 1 inf + 0 8.312 * * [simplify]: Extracting #1: cost 45 inf + 0 8.313 * * [simplify]: Extracting #2: cost 143 inf + 0 8.314 * * [simplify]: Extracting #3: cost 213 inf + 45 8.316 * * [simplify]: Extracting #4: cost 203 inf + 1718 8.323 * * [simplify]: Extracting #5: cost 130 inf + 20716 8.338 * * [simplify]: Extracting #6: cost 18 inf + 99664 8.362 * * [simplify]: Extracting #7: cost 0 inf + 106929 8.401 * * [simplify]: Extracting #8: cost 0 inf + 106247 8.440 * * [simplify]: Extracting #9: cost 0 inf + 105867 8.471 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)) 8.472 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))) 8.472 * * * * [progress]: [ 77 / 127 ] simplifiying candidate # 8.472 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 8.472 * * [simplify]: iters left: 6 (10 enodes) 8.475 * * [simplify]: iters left: 5 (41 enodes) 8.483 * * [simplify]: iters left: 4 (68 enodes) 8.494 * * [simplify]: iters left: 3 (109 enodes) 8.519 * * [simplify]: iters left: 2 (194 enodes) 8.595 * * [simplify]: iters left: 1 (414 enodes) 8.793 * * [simplify]: Extracting #0: cost 1 inf + 0 8.793 * * [simplify]: Extracting #1: cost 45 inf + 0 8.794 * * [simplify]: Extracting #2: cost 141 inf + 0 8.795 * * [simplify]: Extracting #3: cost 206 inf + 4 8.796 * * [simplify]: Extracting #4: cost 178 inf + 9345 8.802 * * [simplify]: Extracting #5: cost 101 inf + 32669 8.814 * * [simplify]: Extracting #6: cost 15 inf + 90305 8.830 * * [simplify]: Extracting #7: cost 0 inf + 100314 8.858 * * [simplify]: Extracting #8: cost 0 inf + 100143 8.888 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 8.888 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 8.889 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 8.889 * * [simplify]: iters left: 6 (11 enodes) 8.892 * * [simplify]: iters left: 5 (45 enodes) 8.900 * * [simplify]: iters left: 4 (68 enodes) 8.912 * * [simplify]: iters left: 3 (110 enodes) 8.954 * * [simplify]: iters left: 2 (217 enodes) 9.011 * * [simplify]: iters left: 1 (456 enodes) 9.178 * * [simplify]: Extracting #0: cost 1 inf + 0 9.178 * * [simplify]: Extracting #1: cost 44 inf + 0 9.178 * * [simplify]: Extracting #2: cost 133 inf + 0 9.179 * * [simplify]: Extracting #3: cost 211 inf + 3 9.180 * * [simplify]: Extracting #4: cost 209 inf + 967 9.182 * * [simplify]: Extracting #5: cost 156 inf + 8433 9.188 * * [simplify]: Extracting #6: cost 83 inf + 42774 9.204 * * [simplify]: Extracting #7: cost 10 inf + 105380 9.220 * * [simplify]: Extracting #8: cost 0 inf + 113674 9.246 * * [simplify]: Extracting #9: cost 0 inf + 112705 9.281 * * [simplify]: Extracting #10: cost 0 inf + 111748 9.314 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k))) 9.314 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k))))) 9.314 * * * * [progress]: [ 78 / 127 ] simplifiying candidate # 9.314 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) 1) 9.314 * * [simplify]: iters left: 6 (8 enodes) 9.320 * * [simplify]: iters left: 5 (33 enodes) 9.331 * * [simplify]: iters left: 4 (56 enodes) 9.350 * * [simplify]: iters left: 3 (98 enodes) 9.390 * * [simplify]: iters left: 2 (203 enodes) 9.471 * * [simplify]: iters left: 1 (441 enodes) 9.705 * * [simplify]: Extracting #0: cost 1 inf + 0 9.705 * * [simplify]: Extracting #1: cost 49 inf + 0 9.705 * * [simplify]: Extracting #2: cost 157 inf + 3 9.706 * * [simplify]: Extracting #3: cost 212 inf + 8 9.707 * * [simplify]: Extracting #4: cost 198 inf + 1133 9.710 * * [simplify]: Extracting #5: cost 127 inf + 13703 9.726 * * [simplify]: Extracting #6: cost 35 inf + 74586 9.755 * * [simplify]: Extracting #7: cost 0 inf + 99668 9.773 * * [simplify]: Extracting #8: cost 0 inf + 99308 9.794 * [simplify]: Simplified to (pow n (- 1/2 (/ k 2))) 9.794 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 9.795 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 9.795 * * [simplify]: iters left: 6 (10 enodes) 9.800 * * [simplify]: iters left: 5 (42 enodes) 9.814 * * [simplify]: iters left: 4 (65 enodes) 9.828 * * [simplify]: iters left: 3 (104 enodes) 9.847 * * [simplify]: iters left: 2 (206 enodes) 9.891 * * [simplify]: iters left: 1 (433 enodes) 10.099 * * [simplify]: Extracting #0: cost 1 inf + 0 10.099 * * [simplify]: Extracting #1: cost 45 inf + 0 10.100 * * [simplify]: Extracting #2: cost 143 inf + 0 10.102 * * [simplify]: Extracting #3: cost 213 inf + 45 10.104 * * [simplify]: Extracting #4: cost 203 inf + 1718 10.111 * * [simplify]: Extracting #5: cost 130 inf + 20716 10.130 * * [simplify]: Extracting #6: cost 18 inf + 99664 10.152 * * [simplify]: Extracting #7: cost 0 inf + 106929 10.190 * * [simplify]: Extracting #8: cost 0 inf + 106247 10.228 * * [simplify]: Extracting #9: cost 0 inf + 105867 10.279 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)) 10.279 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) 1) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))) 10.279 * * * * [progress]: [ 79 / 127 ] simplifiying candidate # 10.280 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 10.280 * * [simplify]: iters left: 6 (16 enodes) 10.289 * * [simplify]: iters left: 5 (69 enodes) 10.308 * * [simplify]: iters left: 4 (117 enodes) 10.326 * * [simplify]: iters left: 3 (164 enodes) 10.364 * * [simplify]: iters left: 2 (236 enodes) 10.422 * * [simplify]: iters left: 1 (387 enodes) 10.572 * * [simplify]: Extracting #0: cost 1 inf + 0 10.572 * * [simplify]: Extracting #1: cost 11 inf + 0 10.572 * * [simplify]: Extracting #2: cost 22 inf + 0 10.573 * * [simplify]: Extracting #3: cost 48 inf + 0 10.573 * * [simplify]: Extracting #4: cost 120 inf + 2 10.574 * * [simplify]: Extracting #5: cost 145 inf + 1787 10.579 * * [simplify]: Extracting #6: cost 89 inf + 14823 10.588 * * [simplify]: Extracting #7: cost 35 inf + 37040 10.598 * * [simplify]: Extracting #8: cost 4 inf + 64421 10.610 * * [simplify]: Extracting #9: cost 0 inf + 66215 10.630 * * [simplify]: Extracting #10: cost 0 inf + 65834 10.643 * [simplify]: Simplified to (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 10.643 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k))))) 10.643 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k))) 10.643 * * [simplify]: iters left: 6 (14 enodes) 10.648 * * [simplify]: iters left: 5 (57 enodes) 10.661 * * [simplify]: iters left: 4 (90 enodes) 10.689 * * [simplify]: iters left: 3 (127 enodes) 10.728 * * [simplify]: iters left: 2 (195 enodes) 10.784 * * [simplify]: iters left: 1 (356 enodes) 10.906 * * [simplify]: Extracting #0: cost 1 inf + 0 10.906 * * [simplify]: Extracting #1: cost 4 inf + 0 10.906 * * [simplify]: Extracting #2: cost 8 inf + 0 10.906 * * [simplify]: Extracting #3: cost 34 inf + 0 10.907 * * [simplify]: Extracting #4: cost 107 inf + 164 10.908 * * [simplify]: Extracting #5: cost 148 inf + 585 10.911 * * [simplify]: Extracting #6: cost 104 inf + 6057 10.920 * * [simplify]: Extracting #7: cost 40 inf + 28932 10.938 * * [simplify]: Extracting #8: cost 3 inf + 60785 10.948 * * [simplify]: Extracting #9: cost 0 inf + 62323 10.958 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 10.958 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 10.958 * * * * [progress]: [ 80 / 127 ] simplifiying candidate # 10.958 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (* (cbrt k) (cbrt k)))) 10.958 * * [simplify]: iters left: 6 (16 enodes) 10.965 * * [simplify]: iters left: 5 (66 enodes) 10.986 * * [simplify]: iters left: 4 (103 enodes) 11.003 * * [simplify]: iters left: 3 (142 enodes) 11.029 * * [simplify]: iters left: 2 (210 enodes) 11.090 * * [simplify]: iters left: 1 (370 enodes) 11.200 * * [simplify]: Extracting #0: cost 1 inf + 0 11.200 * * [simplify]: Extracting #1: cost 7 inf + 0 11.200 * * [simplify]: Extracting #2: cost 15 inf + 0 11.200 * * [simplify]: Extracting #3: cost 43 inf + 0 11.201 * * [simplify]: Extracting #4: cost 113 inf + 204 11.201 * * [simplify]: Extracting #5: cost 144 inf + 990 11.203 * * [simplify]: Extracting #6: cost 110 inf + 4920 11.210 * * [simplify]: Extracting #7: cost 55 inf + 21303 11.224 * * [simplify]: Extracting #8: cost 13 inf + 52139 11.237 * * [simplify]: Extracting #9: cost 0 inf + 63233 11.247 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (fabs (cbrt k))) 11.247 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (fabs (cbrt k))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k))))) 11.247 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k))) 11.248 * * [simplify]: iters left: 6 (14 enodes) 11.252 * * [simplify]: iters left: 5 (57 enodes) 11.263 * * [simplify]: iters left: 4 (90 enodes) 11.289 * * [simplify]: iters left: 3 (127 enodes) 11.309 * * [simplify]: iters left: 2 (195 enodes) 11.365 * * [simplify]: iters left: 1 (356 enodes) 11.505 * * [simplify]: Extracting #0: cost 1 inf + 0 11.505 * * [simplify]: Extracting #1: cost 4 inf + 0 11.505 * * [simplify]: Extracting #2: cost 8 inf + 0 11.505 * * [simplify]: Extracting #3: cost 34 inf + 0 11.506 * * [simplify]: Extracting #4: cost 107 inf + 204 11.506 * * [simplify]: Extracting #5: cost 148 inf + 665 11.508 * * [simplify]: Extracting #6: cost 104 inf + 6137 11.515 * * [simplify]: Extracting #7: cost 40 inf + 29012 11.535 * * [simplify]: Extracting #8: cost 3 inf + 60865 11.548 * * [simplify]: Extracting #9: cost 0 inf + 62403 11.558 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (cbrt k))) 11.558 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (cbrt k))))) 11.559 * * * * [progress]: [ 81 / 127 ] simplifiying candidate # 11.559 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) 11.559 * * [simplify]: iters left: 6 (15 enodes) 11.563 * * [simplify]: iters left: 5 (62 enodes) 11.576 * * [simplify]: iters left: 4 (99 enodes) 11.607 * * [simplify]: iters left: 3 (142 enodes) 11.645 * * [simplify]: iters left: 2 (215 enodes) 11.684 * * [simplify]: iters left: 1 (364 enodes) 11.804 * * [simplify]: Extracting #0: cost 1 inf + 0 11.804 * * [simplify]: Extracting #1: cost 7 inf + 0 11.804 * * [simplify]: Extracting #2: cost 14 inf + 0 11.804 * * [simplify]: Extracting #3: cost 41 inf + 0 11.804 * * [simplify]: Extracting #4: cost 108 inf + 124 11.805 * * [simplify]: Extracting #5: cost 134 inf + 713 11.807 * * [simplify]: Extracting #6: cost 89 inf + 7865 11.818 * * [simplify]: Extracting #7: cost 23 inf + 42624 11.833 * * [simplify]: Extracting #8: cost 0 inf + 60960 11.842 * * [simplify]: Extracting #9: cost 0 inf + 60349 11.851 * * [simplify]: Extracting #10: cost 0 inf + 60309 11.859 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) 11.860 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 11.860 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 11.860 * * [simplify]: iters left: 6 (14 enodes) 11.864 * * [simplify]: iters left: 5 (57 enodes) 11.877 * * [simplify]: iters left: 4 (90 enodes) 11.904 * * [simplify]: iters left: 3 (127 enodes) 11.946 * * [simplify]: iters left: 2 (195 enodes) 11.989 * * [simplify]: iters left: 1 (356 enodes) 12.148 * * [simplify]: Extracting #0: cost 1 inf + 0 12.148 * * [simplify]: Extracting #1: cost 4 inf + 0 12.148 * * [simplify]: Extracting #2: cost 8 inf + 0 12.148 * * [simplify]: Extracting #3: cost 34 inf + 0 12.148 * * [simplify]: Extracting #4: cost 107 inf + 124 12.150 * * [simplify]: Extracting #5: cost 148 inf + 505 12.153 * * [simplify]: Extracting #6: cost 104 inf + 5977 12.159 * * [simplify]: Extracting #7: cost 40 inf + 28772 12.168 * * [simplify]: Extracting #8: cost 3 inf + 60625 12.178 * * [simplify]: Extracting #9: cost 0 inf + 62163 12.190 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 12.190 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 12.190 * * * * [progress]: [ 82 / 127 ] simplifiying candidate # 12.190 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt 1)) 12.191 * * [simplify]: iters left: 6 (14 enodes) 12.199 * * [simplify]: iters left: 5 (59 enodes) 12.218 * * [simplify]: iters left: 4 (96 enodes) 12.247 * * [simplify]: iters left: 3 (136 enodes) 12.271 * * [simplify]: iters left: 2 (205 enodes) 12.315 * * [simplify]: iters left: 1 (370 enodes) 12.474 * * [simplify]: Extracting #0: cost 1 inf + 0 12.474 * * [simplify]: Extracting #1: cost 5 inf + 0 12.474 * * [simplify]: Extracting #2: cost 7 inf + 1 12.474 * * [simplify]: Extracting #3: cost 31 inf + 1 12.475 * * [simplify]: Extracting #4: cost 103 inf + 2 12.476 * * [simplify]: Extracting #5: cost 150 inf + 218 12.477 * * [simplify]: Extracting #6: cost 145 inf + 809 12.482 * * [simplify]: Extracting #7: cost 87 inf + 10304 12.497 * * [simplify]: Extracting #8: cost 25 inf + 34558 12.513 * * [simplify]: Extracting #9: cost 0 inf + 51677 12.527 * * [simplify]: Extracting #10: cost 0 inf + 51597 12.546 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 12.547 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)))) 12.547 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 12.547 * * [simplify]: iters left: 6 (13 enodes) 12.554 * * [simplify]: iters left: 5 (54 enodes) 12.564 * * [simplify]: iters left: 4 (87 enodes) 12.580 * * [simplify]: iters left: 3 (128 enodes) 12.618 * * [simplify]: iters left: 2 (197 enodes) 12.689 * * [simplify]: iters left: 1 (354 enodes) 12.810 * * [simplify]: Extracting #0: cost 1 inf + 0 12.811 * * [simplify]: Extracting #1: cost 4 inf + 0 12.811 * * [simplify]: Extracting #2: cost 8 inf + 0 12.811 * * [simplify]: Extracting #3: cost 28 inf + 83 12.811 * * [simplify]: Extracting #4: cost 105 inf + 84 12.812 * * [simplify]: Extracting #5: cost 139 inf + 343 12.814 * * [simplify]: Extracting #6: cost 97 inf + 5103 12.819 * * [simplify]: Extracting #7: cost 34 inf + 36313 12.829 * * [simplify]: Extracting #8: cost 1 inf + 60074 12.838 * * [simplify]: Extracting #9: cost 0 inf + 60197 12.854 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)) 12.855 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt 1)) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)))) 12.855 * * * * [progress]: [ 83 / 127 ] simplifiying candidate # 12.855 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) 12.855 * * [simplify]: iters left: 6 (15 enodes) 12.864 * * [simplify]: iters left: 5 (62 enodes) 12.888 * * [simplify]: iters left: 4 (99 enodes) 12.917 * * [simplify]: iters left: 3 (142 enodes) 12.939 * * [simplify]: iters left: 2 (215 enodes) 13.011 * * [simplify]: iters left: 1 (364 enodes) 13.121 * * [simplify]: Extracting #0: cost 1 inf + 0 13.121 * * [simplify]: Extracting #1: cost 7 inf + 0 13.121 * * [simplify]: Extracting #2: cost 14 inf + 0 13.122 * * [simplify]: Extracting #3: cost 41 inf + 0 13.122 * * [simplify]: Extracting #4: cost 108 inf + 124 13.123 * * [simplify]: Extracting #5: cost 134 inf + 713 13.127 * * [simplify]: Extracting #6: cost 89 inf + 7865 13.139 * * [simplify]: Extracting #7: cost 23 inf + 42624 13.158 * * [simplify]: Extracting #8: cost 0 inf + 60960 13.176 * * [simplify]: Extracting #9: cost 0 inf + 60349 13.197 * * [simplify]: Extracting #10: cost 0 inf + 60309 13.214 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) 13.215 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 13.215 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 13.215 * * [simplify]: iters left: 6 (14 enodes) 13.219 * * [simplify]: iters left: 5 (57 enodes) 13.229 * * [simplify]: iters left: 4 (90 enodes) 13.243 * * [simplify]: iters left: 3 (127 enodes) 13.282 * * [simplify]: iters left: 2 (195 enodes) 13.343 * * [simplify]: iters left: 1 (356 enodes) 13.485 * * [simplify]: Extracting #0: cost 1 inf + 0 13.485 * * [simplify]: Extracting #1: cost 4 inf + 0 13.485 * * [simplify]: Extracting #2: cost 8 inf + 0 13.485 * * [simplify]: Extracting #3: cost 34 inf + 0 13.486 * * [simplify]: Extracting #4: cost 107 inf + 124 13.487 * * [simplify]: Extracting #5: cost 148 inf + 505 13.491 * * [simplify]: Extracting #6: cost 104 inf + 5977 13.499 * * [simplify]: Extracting #7: cost 40 inf + 28772 13.514 * * [simplify]: Extracting #8: cost 3 inf + 60625 13.524 * * [simplify]: Extracting #9: cost 0 inf + 62163 13.534 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 13.534 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 13.534 * * * * [progress]: [ 84 / 127 ] simplifiying candidate # 13.534 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 1) 13.535 * * [simplify]: iters left: 6 (13 enodes) 13.542 * * [simplify]: iters left: 5 (54 enodes) 13.555 * * [simplify]: iters left: 4 (95 enodes) 13.570 * * [simplify]: iters left: 3 (137 enodes) 13.599 * * [simplify]: iters left: 2 (206 enodes) 13.649 * * [simplify]: iters left: 1 (362 enodes) 13.777 * * [simplify]: Extracting #0: cost 1 inf + 0 13.777 * * [simplify]: Extracting #1: cost 5 inf + 0 13.777 * * [simplify]: Extracting #2: cost 7 inf + 1 13.777 * * [simplify]: Extracting #3: cost 32 inf + 1 13.778 * * [simplify]: Extracting #4: cost 110 inf + 2 13.778 * * [simplify]: Extracting #5: cost 158 inf + 176 13.779 * * [simplify]: Extracting #6: cost 152 inf + 519 13.781 * * [simplify]: Extracting #7: cost 101 inf + 8278 13.792 * * [simplify]: Extracting #8: cost 36 inf + 29809 13.810 * * [simplify]: Extracting #9: cost 0 inf + 59743 13.826 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 13.826 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)))) 13.826 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 13.826 * * [simplify]: iters left: 6 (13 enodes) 13.830 * * [simplify]: iters left: 5 (54 enodes) 13.839 * * [simplify]: iters left: 4 (87 enodes) 13.852 * * [simplify]: iters left: 3 (128 enodes) 13.873 * * [simplify]: iters left: 2 (197 enodes) 13.926 * * [simplify]: iters left: 1 (354 enodes) 14.062 * * [simplify]: Extracting #0: cost 1 inf + 0 14.063 * * [simplify]: Extracting #1: cost 4 inf + 0 14.063 * * [simplify]: Extracting #2: cost 8 inf + 0 14.063 * * [simplify]: Extracting #3: cost 28 inf + 83 14.063 * * [simplify]: Extracting #4: cost 105 inf + 84 14.064 * * [simplify]: Extracting #5: cost 139 inf + 343 14.065 * * [simplify]: Extracting #6: cost 97 inf + 5103 14.073 * * [simplify]: Extracting #7: cost 34 inf + 36313 14.086 * * [simplify]: Extracting #8: cost 1 inf + 60074 14.095 * * [simplify]: Extracting #9: cost 0 inf + 60197 14.107 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)) 14.107 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 1) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)))) 14.108 * * * * [progress]: [ 85 / 127 ] simplifiying candidate # 14.108 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 14.108 * * [simplify]: iters left: 6 (15 enodes) 14.115 * * [simplify]: iters left: 5 (62 enodes) 14.133 * * [simplify]: iters left: 4 (98 enodes) 14.147 * * [simplify]: iters left: 3 (134 enodes) 14.185 * * [simplify]: iters left: 2 (202 enodes) 14.239 * * [simplify]: iters left: 1 (362 enodes) 14.374 * * [simplify]: Extracting #0: cost 1 inf + 0 14.374 * * [simplify]: Extracting #1: cost 6 inf + 0 14.374 * * [simplify]: Extracting #2: cost 13 inf + 0 14.374 * * [simplify]: Extracting #3: cost 43 inf + 0 14.375 * * [simplify]: Extracting #4: cost 123 inf + 2 14.376 * * [simplify]: Extracting #5: cost 143 inf + 1737 14.382 * * [simplify]: Extracting #6: cost 78 inf + 14117 14.387 * * [simplify]: Extracting #7: cost 41 inf + 26321 14.398 * * [simplify]: Extracting #8: cost 0 inf + 58201 14.410 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 14.410 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k))))) 14.410 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k))) 14.411 * * [simplify]: iters left: 6 (14 enodes) 14.417 * * [simplify]: iters left: 5 (57 enodes) 14.435 * * [simplify]: iters left: 4 (91 enodes) 14.451 * * [simplify]: iters left: 3 (127 enodes) 14.477 * * [simplify]: iters left: 2 (195 enodes) 14.535 * * [simplify]: iters left: 1 (354 enodes) 14.683 * * [simplify]: Extracting #0: cost 1 inf + 0 14.683 * * [simplify]: Extracting #1: cost 4 inf + 0 14.683 * * [simplify]: Extracting #2: cost 9 inf + 0 14.683 * * [simplify]: Extracting #3: cost 36 inf + 0 14.684 * * [simplify]: Extracting #4: cost 113 inf + 164 14.685 * * [simplify]: Extracting #5: cost 137 inf + 711 14.694 * * [simplify]: Extracting #6: cost 71 inf + 16363 14.706 * * [simplify]: Extracting #7: cost 10 inf + 50147 14.715 * * [simplify]: Extracting #8: cost 0 inf + 57814 14.725 * * [simplify]: Extracting #9: cost 0 inf + 57305 14.735 * * [simplify]: Extracting #10: cost 0 inf + 57095 14.744 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k))) 14.745 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k))))) 14.745 * * * * [progress]: [ 86 / 127 ] simplifiying candidate # 14.745 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt k) (cbrt k)))) 14.745 * * [simplify]: iters left: 6 (15 enodes) 14.751 * * [simplify]: iters left: 5 (61 enodes) 14.760 * * [simplify]: iters left: 4 (95 enodes) 14.774 * * [simplify]: iters left: 3 (131 enodes) 14.800 * * [simplify]: iters left: 2 (199 enodes) 14.843 * * [simplify]: iters left: 1 (362 enodes) 14.951 * * [simplify]: Extracting #0: cost 1 inf + 0 14.951 * * [simplify]: Extracting #1: cost 4 inf + 0 14.951 * * [simplify]: Extracting #2: cost 10 inf + 0 14.951 * * [simplify]: Extracting #3: cost 41 inf + 0 14.951 * * [simplify]: Extracting #4: cost 124 inf + 325 14.952 * * [simplify]: Extracting #5: cost 146 inf + 2066 14.954 * * [simplify]: Extracting #6: cost 88 inf + 11216 14.958 * * [simplify]: Extracting #7: cost 59 inf + 18921 14.965 * * [simplify]: Extracting #8: cost 20 inf + 50076 14.974 * * [simplify]: Extracting #9: cost 0 inf + 68061 14.991 * * [simplify]: Extracting #10: cost 0 inf + 67850 15.002 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (fabs (cbrt k))) 15.002 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (fabs (cbrt k))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k))))) 15.002 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k))) 15.002 * * [simplify]: iters left: 6 (14 enodes) 15.006 * * [simplify]: iters left: 5 (57 enodes) 15.020 * * [simplify]: iters left: 4 (91 enodes) 15.035 * * [simplify]: iters left: 3 (127 enodes) 15.060 * * [simplify]: iters left: 2 (195 enodes) 15.095 * * [simplify]: iters left: 1 (354 enodes) 15.223 * * [simplify]: Extracting #0: cost 1 inf + 0 15.224 * * [simplify]: Extracting #1: cost 4 inf + 0 15.224 * * [simplify]: Extracting #2: cost 9 inf + 0 15.224 * * [simplify]: Extracting #3: cost 36 inf + 0 15.224 * * [simplify]: Extracting #4: cost 113 inf + 204 15.225 * * [simplify]: Extracting #5: cost 137 inf + 791 15.227 * * [simplify]: Extracting #6: cost 71 inf + 16443 15.235 * * [simplify]: Extracting #7: cost 10 inf + 50227 15.244 * * [simplify]: Extracting #8: cost 0 inf + 57894 15.257 * * [simplify]: Extracting #9: cost 0 inf + 57385 15.269 * * [simplify]: Extracting #10: cost 0 inf + 57175 15.279 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt k))) 15.279 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt k))))) 15.279 * * * * [progress]: [ 87 / 127 ] simplifiying candidate # 15.279 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 15.280 * * [simplify]: iters left: 6 (14 enodes) 15.284 * * [simplify]: iters left: 5 (57 enodes) 15.294 * * [simplify]: iters left: 4 (91 enodes) 15.308 * * [simplify]: iters left: 3 (127 enodes) 15.328 * * [simplify]: iters left: 2 (195 enodes) 15.374 * * [simplify]: iters left: 1 (354 enodes) 15.467 * * [simplify]: Extracting #0: cost 1 inf + 0 15.467 * * [simplify]: Extracting #1: cost 4 inf + 0 15.467 * * [simplify]: Extracting #2: cost 9 inf + 0 15.467 * * [simplify]: Extracting #3: cost 36 inf + 0 15.468 * * [simplify]: Extracting #4: cost 113 inf + 124 15.468 * * [simplify]: Extracting #5: cost 137 inf + 631 15.472 * * [simplify]: Extracting #6: cost 71 inf + 16283 15.485 * * [simplify]: Extracting #7: cost 10 inf + 49987 15.497 * * [simplify]: Extracting #8: cost 0 inf + 57654 15.507 * * [simplify]: Extracting #9: cost 0 inf + 57145 15.519 * * [simplify]: Extracting #10: cost 0 inf + 56935 15.532 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 15.532 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 15.532 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 15.532 * * [simplify]: iters left: 6 (14 enodes) 15.536 * * [simplify]: iters left: 5 (57 enodes) 15.545 * * [simplify]: iters left: 4 (91 enodes) 15.560 * * [simplify]: iters left: 3 (127 enodes) 15.592 * * [simplify]: iters left: 2 (195 enodes) 15.636 * * [simplify]: iters left: 1 (354 enodes) 15.750 * * [simplify]: Extracting #0: cost 1 inf + 0 15.750 * * [simplify]: Extracting #1: cost 4 inf + 0 15.750 * * [simplify]: Extracting #2: cost 9 inf + 0 15.750 * * [simplify]: Extracting #3: cost 36 inf + 0 15.751 * * [simplify]: Extracting #4: cost 113 inf + 124 15.752 * * [simplify]: Extracting #5: cost 137 inf + 631 15.756 * * [simplify]: Extracting #6: cost 71 inf + 16283 15.768 * * [simplify]: Extracting #7: cost 10 inf + 49987 15.778 * * [simplify]: Extracting #8: cost 0 inf + 57654 15.787 * * [simplify]: Extracting #9: cost 0 inf + 57145 15.803 * * [simplify]: Extracting #10: cost 0 inf + 56935 15.820 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 15.820 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 15.820 * * * * [progress]: [ 88 / 127 ] simplifiying candidate # 15.821 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) 15.821 * * [simplify]: iters left: 6 (13 enodes) 15.826 * * [simplify]: iters left: 5 (54 enodes) 15.835 * * [simplify]: iters left: 4 (88 enodes) 15.851 * * [simplify]: iters left: 3 (127 enodes) 15.875 * * [simplify]: iters left: 2 (196 enodes) 15.916 * * [simplify]: iters left: 1 (362 enodes) 16.026 * * [simplify]: Extracting #0: cost 1 inf + 0 16.026 * * [simplify]: Extracting #1: cost 5 inf + 0 16.026 * * [simplify]: Extracting #2: cost 27 inf + 1 16.026 * * [simplify]: Extracting #3: cost 103 inf + 2 16.027 * * [simplify]: Extracting #4: cost 147 inf + 177 16.027 * * [simplify]: Extracting #5: cost 138 inf + 727 16.029 * * [simplify]: Extracting #6: cost 92 inf + 5570 16.034 * * [simplify]: Extracting #7: cost 20 inf + 39855 16.045 * * [simplify]: Extracting #8: cost 0 inf + 56614 16.062 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) 16.062 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)))) 16.062 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 16.062 * * [simplify]: iters left: 6 (13 enodes) 16.069 * * [simplify]: iters left: 5 (54 enodes) 16.081 * * [simplify]: iters left: 4 (88 enodes) 16.097 * * [simplify]: iters left: 3 (125 enodes) 16.124 * * [simplify]: iters left: 2 (193 enodes) 16.171 * * [simplify]: iters left: 1 (356 enodes) 16.308 * * [simplify]: Extracting #0: cost 1 inf + 0 16.308 * * [simplify]: Extracting #1: cost 4 inf + 0 16.309 * * [simplify]: Extracting #2: cost 9 inf + 0 16.309 * * [simplify]: Extracting #3: cost 32 inf + 1 16.309 * * [simplify]: Extracting #4: cost 105 inf + 84 16.311 * * [simplify]: Extracting #5: cost 126 inf + 1591 16.316 * * [simplify]: Extracting #6: cost 68 inf + 14727 16.335 * * [simplify]: Extracting #7: cost 10 inf + 40855 16.360 * * [simplify]: Extracting #8: cost 0 inf + 47636 16.385 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)) 16.386 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)))) 16.386 * * * * [progress]: [ 89 / 127 ] simplifiying candidate # 16.386 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 16.387 * * [simplify]: iters left: 6 (14 enodes) 16.395 * * [simplify]: iters left: 5 (57 enodes) 16.406 * * [simplify]: iters left: 4 (91 enodes) 16.422 * * [simplify]: iters left: 3 (127 enodes) 16.451 * * [simplify]: iters left: 2 (195 enodes) 16.495 * * [simplify]: iters left: 1 (354 enodes) 16.635 * * [simplify]: Extracting #0: cost 1 inf + 0 16.635 * * [simplify]: Extracting #1: cost 4 inf + 0 16.635 * * [simplify]: Extracting #2: cost 9 inf + 0 16.635 * * [simplify]: Extracting #3: cost 36 inf + 0 16.636 * * [simplify]: Extracting #4: cost 113 inf + 124 16.636 * * [simplify]: Extracting #5: cost 137 inf + 631 16.639 * * [simplify]: Extracting #6: cost 71 inf + 16283 16.646 * * [simplify]: Extracting #7: cost 10 inf + 49987 16.659 * * [simplify]: Extracting #8: cost 0 inf + 57654 16.678 * * [simplify]: Extracting #9: cost 0 inf + 57145 16.698 * * [simplify]: Extracting #10: cost 0 inf + 56935 16.721 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 16.721 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 16.721 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 16.721 * * [simplify]: iters left: 6 (14 enodes) 16.729 * * [simplify]: iters left: 5 (57 enodes) 16.748 * * [simplify]: iters left: 4 (91 enodes) 16.775 * * [simplify]: iters left: 3 (127 enodes) 16.813 * * [simplify]: iters left: 2 (195 enodes) 16.873 * * [simplify]: iters left: 1 (354 enodes) 16.968 * * [simplify]: Extracting #0: cost 1 inf + 0 16.968 * * [simplify]: Extracting #1: cost 4 inf + 0 16.969 * * [simplify]: Extracting #2: cost 9 inf + 0 16.969 * * [simplify]: Extracting #3: cost 36 inf + 0 16.969 * * [simplify]: Extracting #4: cost 113 inf + 124 16.970 * * [simplify]: Extracting #5: cost 137 inf + 631 16.972 * * [simplify]: Extracting #6: cost 71 inf + 16283 16.980 * * [simplify]: Extracting #7: cost 10 inf + 49987 16.989 * * [simplify]: Extracting #8: cost 0 inf + 57654 17.012 * * [simplify]: Extracting #9: cost 0 inf + 57145 17.032 * * [simplify]: Extracting #10: cost 0 inf + 56935 17.042 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 17.043 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 17.043 * * * * [progress]: [ 90 / 127 ] simplifiying candidate # 17.043 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) 17.043 * * [simplify]: iters left: 6 (12 enodes) 17.047 * * [simplify]: iters left: 5 (49 enodes) 17.055 * * [simplify]: iters left: 4 (83 enodes) 17.068 * * [simplify]: iters left: 3 (124 enodes) 17.088 * * [simplify]: iters left: 2 (197 enodes) 17.145 * * [simplify]: iters left: 1 (352 enodes) 17.241 * * [simplify]: Extracting #0: cost 1 inf + 0 17.241 * * [simplify]: Extracting #1: cost 5 inf + 0 17.241 * * [simplify]: Extracting #2: cost 27 inf + 1 17.242 * * [simplify]: Extracting #3: cost 107 inf + 2 17.243 * * [simplify]: Extracting #4: cost 136 inf + 177 17.244 * * [simplify]: Extracting #5: cost 130 inf + 641 17.252 * * [simplify]: Extracting #6: cost 70 inf + 10495 17.259 * * [simplify]: Extracting #7: cost 39 inf + 22866 17.270 * * [simplify]: Extracting #8: cost 5 inf + 50330 17.279 * * [simplify]: Extracting #9: cost 0 inf + 54200 17.289 * * [simplify]: Extracting #10: cost 0 inf + 53889 17.300 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) 17.300 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)))) 17.301 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 17.301 * * [simplify]: iters left: 6 (13 enodes) 17.308 * * [simplify]: iters left: 5 (54 enodes) 17.326 * * [simplify]: iters left: 4 (88 enodes) 17.351 * * [simplify]: iters left: 3 (125 enodes) 17.373 * * [simplify]: iters left: 2 (193 enodes) 17.409 * * [simplify]: iters left: 1 (356 enodes) 17.528 * * [simplify]: Extracting #0: cost 1 inf + 0 17.528 * * [simplify]: Extracting #1: cost 4 inf + 0 17.528 * * [simplify]: Extracting #2: cost 9 inf + 0 17.528 * * [simplify]: Extracting #3: cost 32 inf + 1 17.529 * * [simplify]: Extracting #4: cost 105 inf + 84 17.530 * * [simplify]: Extracting #5: cost 126 inf + 1591 17.535 * * [simplify]: Extracting #6: cost 68 inf + 14727 17.551 * * [simplify]: Extracting #7: cost 10 inf + 40855 17.573 * * [simplify]: Extracting #8: cost 0 inf + 47636 17.596 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)) 17.596 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)))) 17.596 * * * * [progress]: [ 91 / 127 ] simplifiying candidate # 17.597 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 17.597 * * [simplify]: iters left: 6 (6 enodes) 17.599 * * [simplify]: iters left: 5 (22 enodes) 17.606 * * [simplify]: iters left: 4 (26 enodes) 17.612 * * [simplify]: Extracting #0: cost 1 inf + 0 17.612 * * [simplify]: Extracting #1: cost 6 inf + 0 17.612 * * [simplify]: Extracting #2: cost 9 inf + 1 17.613 * * [simplify]: Extracting #3: cost 11 inf + 1 17.613 * * [simplify]: Extracting #4: cost 8 inf + 84 17.613 * * [simplify]: Extracting #5: cost 2 inf + 1013 17.613 * * [simplify]: Extracting #6: cost 0 inf + 1376 17.614 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 17.614 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt k))))) 17.614 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt k))) 17.614 * * [simplify]: iters left: 6 (13 enodes) 17.621 * * [simplify]: iters left: 5 (54 enodes) 17.631 * * [simplify]: iters left: 4 (89 enodes) 17.648 * * [simplify]: iters left: 3 (136 enodes) 17.677 * * [simplify]: iters left: 2 (221 enodes) 17.736 * * [simplify]: iters left: 1 (444 enodes) 17.931 * * [simplify]: Extracting #0: cost 1 inf + 0 17.931 * * [simplify]: Extracting #1: cost 51 inf + 0 17.931 * * [simplify]: Extracting #2: cost 142 inf + 0 17.932 * * [simplify]: Extracting #3: cost 218 inf + 3 17.933 * * [simplify]: Extracting #4: cost 207 inf + 1337 17.936 * * [simplify]: Extracting #5: cost 133 inf + 19274 17.948 * * [simplify]: Extracting #6: cost 32 inf + 94866 17.969 * * [simplify]: Extracting #7: cost 0 inf + 124049 18.004 * * [simplify]: Extracting #8: cost 0 inf + 120814 18.025 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt k))) 18.025 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt k))))) 18.025 * * * * [progress]: [ 92 / 127 ] simplifiying candidate # 18.025 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt k) (cbrt k)))) 18.026 * * [simplify]: iters left: 6 (6 enodes) 18.027 * * [simplify]: iters left: 5 (21 enodes) 18.031 * * [simplify]: iters left: 4 (23 enodes) 18.034 * * [simplify]: Extracting #0: cost 1 inf + 0 18.034 * * [simplify]: Extracting #1: cost 4 inf + 0 18.034 * * [simplify]: Extracting #2: cost 6 inf + 1 18.035 * * [simplify]: Extracting #3: cost 9 inf + 1 18.035 * * [simplify]: Extracting #4: cost 8 inf + 2 18.035 * * [simplify]: Extracting #5: cost 1 inf + 810 18.035 * * [simplify]: Extracting #6: cost 0 inf + 972 18.035 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 18.035 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 18.036 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt k))) 18.036 * * [simplify]: iters left: 6 (13 enodes) 18.042 * * [simplify]: iters left: 5 (54 enodes) 18.060 * * [simplify]: iters left: 4 (89 enodes) 18.076 * * [simplify]: iters left: 3 (136 enodes) 18.098 * * [simplify]: iters left: 2 (221 enodes) 18.174 * * [simplify]: iters left: 1 (444 enodes) 18.384 * * [simplify]: Extracting #0: cost 1 inf + 0 18.385 * * [simplify]: Extracting #1: cost 51 inf + 0 18.385 * * [simplify]: Extracting #2: cost 142 inf + 0 18.386 * * [simplify]: Extracting #3: cost 218 inf + 3 18.387 * * [simplify]: Extracting #4: cost 207 inf + 1377 18.391 * * [simplify]: Extracting #5: cost 133 inf + 19354 18.403 * * [simplify]: Extracting #6: cost 32 inf + 94946 18.431 * * [simplify]: Extracting #7: cost 0 inf + 124129 18.448 * * [simplify]: Extracting #8: cost 0 inf + 120894 18.466 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt k))) 18.466 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 18.466 * * * * [progress]: [ 93 / 127 ] simplifiying candidate # 18.466 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 18.466 * * [simplify]: iters left: 4 (5 enodes) 18.468 * * [simplify]: iters left: 3 (17 enodes) 18.470 * * [simplify]: iters left: 2 (19 enodes) 18.473 * * [simplify]: Extracting #0: cost 1 inf + 0 18.473 * * [simplify]: Extracting #1: cost 4 inf + 0 18.473 * * [simplify]: Extracting #2: cost 5 inf + 1 18.473 * * [simplify]: Extracting #3: cost 7 inf + 1 18.473 * * [simplify]: Extracting #4: cost 0 inf + 490 18.473 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 18.473 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 18.473 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) 18.473 * * [simplify]: iters left: 6 (13 enodes) 18.477 * * [simplify]: iters left: 5 (54 enodes) 18.486 * * [simplify]: iters left: 4 (89 enodes) 18.506 * * [simplify]: iters left: 3 (136 enodes) 18.533 * * [simplify]: iters left: 2 (221 enodes) 18.577 * * [simplify]: iters left: 1 (444 enodes) 19.074 * * [simplify]: Extracting #0: cost 1 inf + 0 19.074 * * [simplify]: Extracting #1: cost 51 inf + 0 19.075 * * [simplify]: Extracting #2: cost 142 inf + 0 19.076 * * [simplify]: Extracting #3: cost 218 inf + 3 19.078 * * [simplify]: Extracting #4: cost 207 inf + 1257 19.084 * * [simplify]: Extracting #5: cost 133 inf + 18954 19.108 * * [simplify]: Extracting #6: cost 32 inf + 92706 19.134 * * [simplify]: Extracting #7: cost 0 inf + 121009 19.161 * * [simplify]: Extracting #8: cost 0 inf + 117774 19.197 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 19.197 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 19.197 * * * * [progress]: [ 94 / 127 ] simplifiying candidate # 19.198 * [simplify]: Simplifying (/ 1 (sqrt 1)) 19.198 * * [simplify]: iters left: 3 (3 enodes) 19.204 * * [simplify]: iters left: 2 (11 enodes) 19.207 * * [simplify]: iters left: 1 (13 enodes) 19.210 * * [simplify]: Extracting #0: cost 1 inf + 0 19.210 * * [simplify]: Extracting #1: cost 0 inf + 1 19.210 * [simplify]: Simplified to 1 19.210 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))) 19.210 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 19.210 * * [simplify]: iters left: 6 (12 enodes) 19.216 * * [simplify]: iters left: 5 (51 enodes) 19.225 * * [simplify]: iters left: 4 (86 enodes) 19.239 * * [simplify]: iters left: 3 (133 enodes) 19.280 * * [simplify]: iters left: 2 (218 enodes) 19.363 * * [simplify]: iters left: 1 (444 enodes) 19.545 * * [simplify]: Extracting #0: cost 1 inf + 0 19.545 * * [simplify]: Extracting #1: cost 39 inf + 0 19.545 * * [simplify]: Extracting #2: cost 126 inf + 0 19.546 * * [simplify]: Extracting #3: cost 201 inf + 4 19.547 * * [simplify]: Extracting #4: cost 189 inf + 1508 19.552 * * [simplify]: Extracting #5: cost 135 inf + 9951 19.568 * * [simplify]: Extracting #6: cost 51 inf + 62585 19.586 * * [simplify]: Extracting #7: cost 2 inf + 102691 19.602 * * [simplify]: Extracting #8: cost 0 inf + 104433 19.633 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) 19.633 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))) 19.634 * * * * [progress]: [ 95 / 127 ] simplifiying candidate # 19.634 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 19.634 * * [simplify]: iters left: 4 (5 enodes) 19.637 * * [simplify]: iters left: 3 (17 enodes) 19.642 * * [simplify]: iters left: 2 (19 enodes) 19.648 * * [simplify]: Extracting #0: cost 1 inf + 0 19.648 * * [simplify]: Extracting #1: cost 4 inf + 0 19.648 * * [simplify]: Extracting #2: cost 5 inf + 1 19.648 * * [simplify]: Extracting #3: cost 7 inf + 1 19.648 * * [simplify]: Extracting #4: cost 0 inf + 490 19.648 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 19.648 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 19.649 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) 19.649 * * [simplify]: iters left: 6 (13 enodes) 19.656 * * [simplify]: iters left: 5 (54 enodes) 19.666 * * [simplify]: iters left: 4 (89 enodes) 19.680 * * [simplify]: iters left: 3 (136 enodes) 19.705 * * [simplify]: iters left: 2 (221 enodes) 19.752 * * [simplify]: iters left: 1 (444 enodes) 20.019 * * [simplify]: Extracting #0: cost 1 inf + 0 20.019 * * [simplify]: Extracting #1: cost 51 inf + 0 20.020 * * [simplify]: Extracting #2: cost 142 inf + 0 20.022 * * [simplify]: Extracting #3: cost 218 inf + 3 20.024 * * [simplify]: Extracting #4: cost 207 inf + 1257 20.030 * * [simplify]: Extracting #5: cost 133 inf + 18954 20.046 * * [simplify]: Extracting #6: cost 32 inf + 92706 20.067 * * [simplify]: Extracting #7: cost 0 inf + 121009 20.101 * * [simplify]: Extracting #8: cost 0 inf + 117774 20.136 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 20.136 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 20.136 * * * * [progress]: [ 96 / 127 ] simplifiying candidate # 20.136 * [simplify]: Simplifying (/ 1 1) 20.137 * * [simplify]: iters left: 2 (2 enodes) 20.138 * * [simplify]: iters left: 1 (6 enodes) 20.140 * * [simplify]: Extracting #0: cost 1 inf + 0 20.141 * * [simplify]: Extracting #1: cost 0 inf + 1 20.141 * [simplify]: Simplified to 1 20.141 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))) 20.141 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 20.141 * * [simplify]: iters left: 6 (12 enodes) 20.148 * * [simplify]: iters left: 5 (51 enodes) 20.165 * * [simplify]: iters left: 4 (86 enodes) 20.191 * * [simplify]: iters left: 3 (133 enodes) 20.235 * * [simplify]: iters left: 2 (218 enodes) 20.316 * * [simplify]: iters left: 1 (444 enodes) 20.512 * * [simplify]: Extracting #0: cost 1 inf + 0 20.512 * * [simplify]: Extracting #1: cost 39 inf + 0 20.513 * * [simplify]: Extracting #2: cost 126 inf + 0 20.514 * * [simplify]: Extracting #3: cost 201 inf + 4 20.516 * * [simplify]: Extracting #4: cost 189 inf + 1508 20.521 * * [simplify]: Extracting #5: cost 135 inf + 9951 20.535 * * [simplify]: Extracting #6: cost 51 inf + 62585 20.550 * * [simplify]: Extracting #7: cost 2 inf + 102691 20.572 * * [simplify]: Extracting #8: cost 0 inf + 104433 20.588 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) 20.588 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))) 20.588 * * * * [progress]: [ 97 / 127 ] simplifiying candidate # 20.588 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 20.588 * * [simplify]: iters left: 6 (15 enodes) 20.593 * * [simplify]: iters left: 5 (65 enodes) 20.604 * * [simplify]: iters left: 4 (109 enodes) 20.626 * * [simplify]: iters left: 3 (185 enodes) 20.661 * * [simplify]: iters left: 2 (368 enodes) 20.754 * * [simplify]: Extracting #0: cost 1 inf + 0 20.754 * * [simplify]: Extracting #1: cost 54 inf + 0 20.754 * * [simplify]: Extracting #2: cost 144 inf + 0 20.755 * * [simplify]: Extracting #3: cost 223 inf + 2 20.756 * * [simplify]: Extracting #4: cost 217 inf + 1415 20.758 * * [simplify]: Extracting #5: cost 166 inf + 8610 20.771 * * [simplify]: Extracting #6: cost 63 inf + 69583 20.802 * * [simplify]: Extracting #7: cost 0 inf + 121597 20.819 * * [simplify]: Extracting #8: cost 0 inf + 120169 20.839 * * [simplify]: Extracting #9: cost 0 inf + 120168 20.864 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 20.864 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt k))))) 20.865 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt k))) 20.865 * * [simplify]: iters left: 6 (14 enodes) 20.869 * * [simplify]: iters left: 5 (60 enodes) 20.879 * * [simplify]: iters left: 4 (98 enodes) 20.906 * * [simplify]: iters left: 3 (157 enodes) 20.961 * * [simplify]: iters left: 2 (290 enodes) 21.045 * * [simplify]: Extracting #0: cost 1 inf + 0 21.046 * * [simplify]: Extracting #1: cost 30 inf + 0 21.046 * * [simplify]: Extracting #2: cost 72 inf + 0 21.047 * * [simplify]: Extracting #3: cost 138 inf + 2 21.048 * * [simplify]: Extracting #4: cost 142 inf + 932 21.053 * * [simplify]: Extracting #5: cost 72 inf + 18422 21.068 * * [simplify]: Extracting #6: cost 10 inf + 45090 21.077 * * [simplify]: Extracting #7: cost 0 inf + 51502 21.086 * * [simplify]: Extracting #8: cost 0 inf + 51262 21.094 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (cbrt (sqrt k))) 21.094 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (cbrt (sqrt k))))) 21.095 * * * * [progress]: [ 98 / 127 ] simplifiying candidate # 21.095 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt k) (cbrt k)))) 21.095 * * [simplify]: iters left: 6 (15 enodes) 21.099 * * [simplify]: iters left: 5 (64 enodes) 21.111 * * [simplify]: iters left: 4 (102 enodes) 21.130 * * [simplify]: iters left: 3 (161 enodes) 21.178 * * [simplify]: iters left: 2 (288 enodes) 21.237 * * [simplify]: Extracting #0: cost 1 inf + 0 21.237 * * [simplify]: Extracting #1: cost 30 inf + 0 21.237 * * [simplify]: Extracting #2: cost 73 inf + 0 21.238 * * [simplify]: Extracting #3: cost 138 inf + 2 21.238 * * [simplify]: Extracting #4: cost 144 inf + 347 21.240 * * [simplify]: Extracting #5: cost 101 inf + 5180 21.243 * * [simplify]: Extracting #6: cost 44 inf + 26188 21.249 * * [simplify]: Extracting #7: cost 7 inf + 54487 21.259 * * [simplify]: Extracting #8: cost 0 inf + 59312 21.266 * * [simplify]: Extracting #9: cost 0 inf + 58534 21.274 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (fabs (cbrt k))) 21.274 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (fabs (cbrt k))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt k))))) 21.274 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt k))) 21.274 * * [simplify]: iters left: 6 (14 enodes) 21.279 * * [simplify]: iters left: 5 (60 enodes) 21.304 * * [simplify]: iters left: 4 (98 enodes) 21.321 * * [simplify]: iters left: 3 (157 enodes) 21.361 * * [simplify]: iters left: 2 (290 enodes) 21.446 * * [simplify]: Extracting #0: cost 1 inf + 0 21.446 * * [simplify]: Extracting #1: cost 30 inf + 0 21.447 * * [simplify]: Extracting #2: cost 72 inf + 0 21.447 * * [simplify]: Extracting #3: cost 138 inf + 2 21.449 * * [simplify]: Extracting #4: cost 142 inf + 932 21.454 * * [simplify]: Extracting #5: cost 72 inf + 18502 21.468 * * [simplify]: Extracting #6: cost 10 inf + 45170 21.486 * * [simplify]: Extracting #7: cost 0 inf + 51582 21.503 * * [simplify]: Extracting #8: cost 0 inf + 51342 21.519 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (cbrt k))) 21.519 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (cbrt k))))) 21.520 * * * * [progress]: [ 99 / 127 ] simplifiying candidate # 21.520 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 21.520 * * [simplify]: iters left: 6 (14 enodes) 21.528 * * [simplify]: iters left: 5 (60 enodes) 21.552 * * [simplify]: iters left: 4 (98 enodes) 21.568 * * [simplify]: iters left: 3 (157 enodes) 21.615 * * [simplify]: iters left: 2 (290 enodes) 21.692 * * [simplify]: Extracting #0: cost 1 inf + 0 21.692 * * [simplify]: Extracting #1: cost 30 inf + 0 21.692 * * [simplify]: Extracting #2: cost 72 inf + 0 21.692 * * [simplify]: Extracting #3: cost 138 inf + 2 21.693 * * [simplify]: Extracting #4: cost 142 inf + 932 21.696 * * [simplify]: Extracting #5: cost 72 inf + 18102 21.703 * * [simplify]: Extracting #6: cost 10 inf + 44010 21.711 * * [simplify]: Extracting #7: cost 0 inf + 50022 21.726 * * [simplify]: Extracting #8: cost 0 inf + 49782 21.742 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 21.742 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))))) 21.742 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 21.742 * * [simplify]: iters left: 6 (14 enodes) 21.747 * * [simplify]: iters left: 5 (60 enodes) 21.759 * * [simplify]: iters left: 4 (98 enodes) 21.787 * * [simplify]: iters left: 3 (157 enodes) 21.818 * * [simplify]: iters left: 2 (290 enodes) 21.881 * * [simplify]: Extracting #0: cost 1 inf + 0 21.881 * * [simplify]: Extracting #1: cost 30 inf + 0 21.881 * * [simplify]: Extracting #2: cost 72 inf + 0 21.881 * * [simplify]: Extracting #3: cost 138 inf + 2 21.882 * * [simplify]: Extracting #4: cost 142 inf + 932 21.885 * * [simplify]: Extracting #5: cost 72 inf + 18102 21.892 * * [simplify]: Extracting #6: cost 10 inf + 44010 21.900 * * [simplify]: Extracting #7: cost 0 inf + 50022 21.913 * * [simplify]: Extracting #8: cost 0 inf + 49782 21.930 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 21.930 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))))) 21.930 * * * * [progress]: [ 100 / 127 ] simplifiying candidate # 21.930 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) 21.930 * * [simplify]: iters left: 6 (13 enodes) 21.938 * * [simplify]: iters left: 5 (57 enodes) 21.947 * * [simplify]: iters left: 4 (93 enodes) 21.962 * * [simplify]: iters left: 3 (148 enodes) 21.990 * * [simplify]: iters left: 2 (271 enodes) 22.053 * * [simplify]: iters left: 1 (495 enodes) 22.313 * * [simplify]: Extracting #0: cost 1 inf + 0 22.314 * * [simplify]: Extracting #1: cost 55 inf + 0 22.315 * * [simplify]: Extracting #2: cost 164 inf + 2 22.316 * * [simplify]: Extracting #3: cost 237 inf + 220 22.319 * * [simplify]: Extracting #4: cost 230 inf + 978 22.325 * * [simplify]: Extracting #5: cost 141 inf + 13550 22.339 * * [simplify]: Extracting #6: cost 75 inf + 38571 22.357 * * [simplify]: Extracting #7: cost 10 inf + 93049 22.372 * * [simplify]: Extracting #8: cost 0 inf + 100862 22.395 * * [simplify]: Extracting #9: cost 0 inf + 100439 22.420 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 4)) 22.420 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 22.421 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)) 22.421 * * [simplify]: iters left: 6 (13 enodes) 22.425 * * [simplify]: iters left: 5 (57 enodes) 22.434 * * [simplify]: iters left: 4 (95 enodes) 22.457 * * [simplify]: iters left: 3 (154 enodes) 22.488 * * [simplify]: iters left: 2 (287 enodes) 22.553 * * [simplify]: Extracting #0: cost 1 inf + 0 22.553 * * [simplify]: Extracting #1: cost 30 inf + 0 22.553 * * [simplify]: Extracting #2: cost 73 inf + 0 22.553 * * [simplify]: Extracting #3: cost 136 inf + 3 22.554 * * [simplify]: Extracting #4: cost 132 inf + 1178 22.556 * * [simplify]: Extracting #5: cost 90 inf + 6800 22.560 * * [simplify]: Extracting #6: cost 20 inf + 38881 22.571 * * [simplify]: Extracting #7: cost 0 inf + 54585 22.584 * * [simplify]: Extracting #8: cost 0 inf + 54374 22.600 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt k)) 22.601 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt k)))) 22.601 * * * * [progress]: [ 101 / 127 ] simplifiying candidate # 22.601 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 22.601 * * [simplify]: iters left: 6 (14 enodes) 22.608 * * [simplify]: iters left: 5 (60 enodes) 22.624 * * [simplify]: iters left: 4 (98 enodes) 22.641 * * [simplify]: iters left: 3 (157 enodes) 22.680 * * [simplify]: iters left: 2 (290 enodes) 22.762 * * [simplify]: Extracting #0: cost 1 inf + 0 22.762 * * [simplify]: Extracting #1: cost 30 inf + 0 22.762 * * [simplify]: Extracting #2: cost 72 inf + 0 22.763 * * [simplify]: Extracting #3: cost 138 inf + 2 22.764 * * [simplify]: Extracting #4: cost 142 inf + 932 22.770 * * [simplify]: Extracting #5: cost 72 inf + 18102 22.784 * * [simplify]: Extracting #6: cost 10 inf + 44010 22.802 * * [simplify]: Extracting #7: cost 0 inf + 50022 22.819 * * [simplify]: Extracting #8: cost 0 inf + 49782 22.840 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 22.840 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))))) 22.840 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 22.840 * * [simplify]: iters left: 6 (14 enodes) 22.849 * * [simplify]: iters left: 5 (60 enodes) 22.869 * * [simplify]: iters left: 4 (98 enodes) 22.901 * * [simplify]: iters left: 3 (157 enodes) 22.946 * * [simplify]: iters left: 2 (290 enodes) 23.022 * * [simplify]: Extracting #0: cost 1 inf + 0 23.023 * * [simplify]: Extracting #1: cost 30 inf + 0 23.023 * * [simplify]: Extracting #2: cost 72 inf + 0 23.024 * * [simplify]: Extracting #3: cost 138 inf + 2 23.025 * * [simplify]: Extracting #4: cost 142 inf + 932 23.030 * * [simplify]: Extracting #5: cost 72 inf + 18102 23.044 * * [simplify]: Extracting #6: cost 10 inf + 44010 23.062 * * [simplify]: Extracting #7: cost 0 inf + 50022 23.083 * * [simplify]: Extracting #8: cost 0 inf + 49782 23.100 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 23.100 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))))) 23.100 * * * * [progress]: [ 102 / 127 ] simplifiying candidate # 23.101 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) 23.101 * * [simplify]: iters left: 6 (12 enodes) 23.108 * * [simplify]: iters left: 5 (52 enodes) 23.124 * * [simplify]: iters left: 4 (90 enodes) 23.140 * * [simplify]: iters left: 3 (151 enodes) 23.168 * * [simplify]: iters left: 2 (287 enodes) 23.281 * * [simplify]: Extracting #0: cost 1 inf + 0 23.281 * * [simplify]: Extracting #1: cost 31 inf + 0 23.281 * * [simplify]: Extracting #2: cost 99 inf + 2 23.282 * * [simplify]: Extracting #3: cost 141 inf + 219 23.283 * * [simplify]: Extracting #4: cost 141 inf + 641 23.286 * * [simplify]: Extracting #5: cost 86 inf + 6314 23.294 * * [simplify]: Extracting #6: cost 34 inf + 26657 23.306 * * [simplify]: Extracting #7: cost 3 inf + 48037 23.315 * * [simplify]: Extracting #8: cost 0 inf + 50067 23.322 * [simplify]: Simplified to (pow (* (* PI 2) n) (- 1/4 (/ k 4))) 23.322 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 23.323 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)) 23.323 * * [simplify]: iters left: 6 (13 enodes) 23.327 * * [simplify]: iters left: 5 (57 enodes) 23.337 * * [simplify]: iters left: 4 (95 enodes) 23.367 * * [simplify]: iters left: 3 (154 enodes) 23.422 * * [simplify]: iters left: 2 (287 enodes) 23.527 * * [simplify]: Extracting #0: cost 1 inf + 0 23.527 * * [simplify]: Extracting #1: cost 30 inf + 0 23.527 * * [simplify]: Extracting #2: cost 73 inf + 0 23.528 * * [simplify]: Extracting #3: cost 136 inf + 3 23.528 * * [simplify]: Extracting #4: cost 132 inf + 1178 23.530 * * [simplify]: Extracting #5: cost 90 inf + 6800 23.535 * * [simplify]: Extracting #6: cost 20 inf + 38881 23.542 * * [simplify]: Extracting #7: cost 0 inf + 54585 23.557 * * [simplify]: Extracting #8: cost 0 inf + 54374 23.572 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt k)) 23.572 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt k)))) 23.572 * * * * [progress]: [ 103 / 127 ] simplifiying candidate # 23.572 * * * * [progress]: [ 104 / 127 ] simplifiying candidate # 23.572 * * * * [progress]: [ 105 / 127 ] simplifiying candidate # 23.573 * * * * [progress]: [ 106 / 127 ] simplifiying candidate # 23.573 * [simplify]: Simplifying (cbrt (sqrt k)) 23.573 * * [simplify]: iters left: 2 (3 enodes) 23.574 * * [simplify]: iters left: 1 (9 enodes) 23.576 * * [simplify]: Extracting #0: cost 1 inf + 0 23.576 * * [simplify]: Extracting #1: cost 3 inf + 0 23.577 * * [simplify]: Extracting #2: cost 5 inf + 0 23.577 * * [simplify]: Extracting #3: cost 4 inf + 1 23.577 * * [simplify]: Extracting #4: cost 0 inf + 325 23.577 * [simplify]: Simplified to (cbrt (sqrt k)) 23.577 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k)))) 23.577 * * * * [progress]: [ 107 / 127 ] simplifiying candidate # 23.577 * [simplify]: Simplifying (sqrt (cbrt k)) 23.577 * * [simplify]: iters left: 2 (3 enodes) 23.578 * * [simplify]: iters left: 1 (9 enodes) 23.581 * * [simplify]: Extracting #0: cost 1 inf + 0 23.581 * * [simplify]: Extracting #1: cost 3 inf + 0 23.581 * * [simplify]: Extracting #2: cost 5 inf + 0 23.581 * * [simplify]: Extracting #3: cost 4 inf + 1 23.581 * * [simplify]: Extracting #4: cost 0 inf + 405 23.581 * [simplify]: Simplified to (sqrt (cbrt k)) 23.581 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k)))) 23.581 * * * * [progress]: [ 108 / 127 ] simplifiying candidate # 23.581 * [simplify]: Simplifying (sqrt (sqrt k)) 23.582 * * [simplify]: iters left: 2 (3 enodes) 23.583 * * [simplify]: iters left: 1 (9 enodes) 23.585 * * [simplify]: Extracting #0: cost 1 inf + 0 23.585 * * [simplify]: Extracting #1: cost 3 inf + 0 23.585 * * [simplify]: Extracting #2: cost 5 inf + 0 23.585 * * [simplify]: Extracting #3: cost 4 inf + 1 23.585 * * [simplify]: Extracting #4: cost 0 inf + 245 23.585 * [simplify]: Simplified to (sqrt (sqrt k)) 23.585 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 23.585 * * * * [progress]: [ 109 / 127 ] simplifiying candidate # 23.586 * [simplify]: Simplifying (sqrt k) 23.586 * * [simplify]: iters left: 1 (2 enodes) 23.587 * * [simplify]: Extracting #0: cost 1 inf + 0 23.587 * * [simplify]: Extracting #1: cost 3 inf + 0 23.587 * * [simplify]: Extracting #2: cost 2 inf + 1 23.587 * * [simplify]: Extracting #3: cost 0 inf + 83 23.587 * [simplify]: Simplified to (sqrt k) 23.587 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt 1)) (sqrt k))) 23.587 * * * * [progress]: [ 110 / 127 ] simplifiying candidate # 23.587 * [simplify]: Simplifying (sqrt (sqrt k)) 23.587 * * [simplify]: iters left: 2 (3 enodes) 23.588 * * [simplify]: iters left: 1 (9 enodes) 23.591 * * [simplify]: Extracting #0: cost 1 inf + 0 23.591 * * [simplify]: Extracting #1: cost 3 inf + 0 23.591 * * [simplify]: Extracting #2: cost 5 inf + 0 23.591 * * [simplify]: Extracting #3: cost 4 inf + 1 23.591 * * [simplify]: Extracting #4: cost 0 inf + 245 23.591 * [simplify]: Simplified to (sqrt (sqrt k)) 23.591 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 23.592 * * * * [progress]: [ 111 / 127 ] simplifiying candidate # 23.592 * [simplify]: Simplifying (sqrt k) 23.592 * * [simplify]: iters left: 1 (2 enodes) 23.593 * * [simplify]: Extracting #0: cost 1 inf + 0 23.593 * * [simplify]: Extracting #1: cost 3 inf + 0 23.593 * * [simplify]: Extracting #2: cost 2 inf + 1 23.593 * * [simplify]: Extracting #3: cost 0 inf + 83 23.593 * [simplify]: Simplified to (sqrt k) 23.593 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) (sqrt k))) 23.593 * * * * [progress]: [ 112 / 127 ] simplifiying candidate # 23.593 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 23.594 * * [simplify]: iters left: 5 (7 enodes) 23.598 * * [simplify]: iters left: 4 (32 enodes) 23.610 * * [simplify]: iters left: 3 (57 enodes) 23.628 * * [simplify]: iters left: 2 (88 enodes) 23.657 * * [simplify]: iters left: 1 (156 enodes) 23.721 * * [simplify]: Extracting #0: cost 1 inf + 0 23.721 * * [simplify]: Extracting #1: cost 13 inf + 0 23.722 * * [simplify]: Extracting #2: cost 49 inf + 2 23.722 * * [simplify]: Extracting #3: cost 80 inf + 6 23.723 * * [simplify]: Extracting #4: cost 58 inf + 1840 23.726 * * [simplify]: Extracting #5: cost 22 inf + 9206 23.731 * * [simplify]: Extracting #6: cost 1 inf + 20886 23.738 * * [simplify]: Extracting #7: cost 0 inf + 21301 23.744 * * [simplify]: Extracting #8: cost 0 inf + 21130 23.750 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 23.750 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 23.751 * * * * [progress]: [ 113 / 127 ] simplifiying candidate # 23.751 * [simplify]: Simplifying (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 23.751 * * [simplify]: iters left: 6 (12 enodes) 23.758 * * [simplify]: iters left: 5 (51 enodes) 23.775 * * [simplify]: iters left: 4 (84 enodes) 23.801 * * [simplify]: iters left: 3 (125 enodes) 23.841 * * [simplify]: iters left: 2 (198 enodes) 23.897 * * [simplify]: iters left: 1 (353 enodes) 24.033 * * [simplify]: Extracting #0: cost 1 inf + 0 24.033 * * [simplify]: Extracting #1: cost 3 inf + 0 24.033 * * [simplify]: Extracting #2: cost 5 inf + 0 24.033 * * [simplify]: Extracting #3: cost 28 inf + 0 24.034 * * [simplify]: Extracting #4: cost 101 inf + 1 24.035 * * [simplify]: Extracting #5: cost 136 inf + 176 24.036 * * [simplify]: Extracting #6: cost 127 inf + 1730 24.041 * * [simplify]: Extracting #7: cost 68 inf + 14428 24.054 * * [simplify]: Extracting #8: cost 24 inf + 38979 24.075 * * [simplify]: Extracting #9: cost 0 inf + 59741 24.095 * * [simplify]: Extracting #10: cost 0 inf + 57850 24.107 * * [simplify]: Extracting #11: cost 0 inf + 57436 24.118 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 24.118 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 24.118 * * * * [progress]: [ 114 / 127 ] simplifiying candidate # 24.118 * [simplify]: Simplifying (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 24.119 * * [simplify]: iters left: 6 (11 enodes) 24.125 * * [simplify]: iters left: 5 (48 enodes) 24.141 * * [simplify]: iters left: 4 (78 enodes) 24.170 * * [simplify]: iters left: 3 (120 enodes) 24.212 * * [simplify]: iters left: 2 (211 enodes) 24.286 * * [simplify]: iters left: 1 (378 enodes) 24.423 * * [simplify]: Extracting #0: cost 1 inf + 0 24.423 * * [simplify]: Extracting #1: cost 4 inf + 0 24.423 * * [simplify]: Extracting #2: cost 28 inf + 0 24.423 * * [simplify]: Extracting #3: cost 111 inf + 1 24.424 * * [simplify]: Extracting #4: cost 151 inf + 220 24.425 * * [simplify]: Extracting #5: cost 149 inf + 601 24.426 * * [simplify]: Extracting #6: cost 109 inf + 5630 24.435 * * [simplify]: Extracting #7: cost 43 inf + 25793 24.453 * * [simplify]: Extracting #8: cost 5 inf + 52343 24.475 * * [simplify]: Extracting #9: cost 0 inf + 56629 24.496 * * [simplify]: Extracting #10: cost 0 inf + 55972 24.515 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 24.515 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 24.515 * * * * [progress]: [ 115 / 127 ] simplifiying candidate # 24.515 * * * * [progress]: [ 116 / 127 ] simplifiying candidate # 24.515 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 24.515 * * [simplify]: iters left: 6 (11 enodes) 24.519 * * [simplify]: iters left: 5 (51 enodes) 24.530 * * [simplify]: iters left: 4 (87 enodes) 24.545 * * [simplify]: iters left: 3 (143 enodes) 24.590 * * [simplify]: iters left: 2 (259 enodes) 24.672 * * [simplify]: iters left: 1 (467 enodes) 24.899 * * [simplify]: Extracting #0: cost 1 inf + 0 24.899 * * [simplify]: Extracting #1: cost 23 inf + 0 24.900 * * [simplify]: Extracting #2: cost 99 inf + 1 24.901 * * [simplify]: Extracting #3: cost 180 inf + 178 24.904 * * [simplify]: Extracting #4: cost 162 inf + 2505 24.910 * * [simplify]: Extracting #5: cost 78 inf + 12096 24.921 * * [simplify]: Extracting #6: cost 33 inf + 29460 24.937 * * [simplify]: Extracting #7: cost 1 inf + 56926 24.950 * * [simplify]: Extracting #8: cost 0 inf + 57804 24.960 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/4 (- 1 k))) 24.960 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 24.960 * * * * [progress]: [ 117 / 127 ] simplifiying candidate # 24.960 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 2)) 24.960 * * [simplify]: iters left: 5 (8 enodes) 24.964 * * [simplify]: iters left: 4 (35 enodes) 24.975 * * [simplify]: iters left: 3 (63 enodes) 24.998 * * [simplify]: iters left: 2 (108 enodes) 25.030 * * [simplify]: iters left: 1 (162 enodes) 25.059 * * [simplify]: Extracting #0: cost 1 inf + 0 25.060 * * [simplify]: Extracting #1: cost 12 inf + 0 25.060 * * [simplify]: Extracting #2: cost 40 inf + 2 25.060 * * [simplify]: Extracting #3: cost 40 inf + 9 25.060 * * [simplify]: Extracting #4: cost 25 inf + 2233 25.061 * * [simplify]: Extracting #5: cost 10 inf + 8991 25.063 * * [simplify]: Extracting #6: cost 0 inf + 14572 25.065 * [simplify]: Simplified to (sqrt (* (* PI 2) n)) 25.065 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* PI 2) n)) (* (sqrt k) (pow (* n (* 2 PI)) (/ k 2))))) 25.065 * * * * [progress]: [ 118 / 127 ] simplifiying candidate #real (real->posit16 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))> 25.065 * * * * [progress]: [ 119 / 127 ] simplifiying candidate # 25.065 * [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))))) 25.065 * * [simplify]: iters left: 6 (37 enodes) 25.076 * * [simplify]: iters left: 5 (187 enodes) 25.136 * * [simplify]: iters left: 4 (488 enodes) 25.383 * * [simplify]: Extracting #0: cost 1 inf + 0 25.383 * * [simplify]: Extracting #1: cost 57 inf + 0 25.385 * * [simplify]: Extracting #2: cost 294 inf + 0 25.388 * * [simplify]: Extracting #3: cost 524 inf + 199 25.393 * * [simplify]: Extracting #4: cost 512 inf + 6095 25.414 * * [simplify]: Extracting #5: cost 310 inf + 78036 25.479 * * [simplify]: Extracting #6: cost 40 inf + 220622 25.567 * * [simplify]: Extracting #7: cost 0 inf + 244981 25.646 * * [simplify]: Extracting #8: cost 0 inf + 243455 25.703 * * [simplify]: Extracting #9: cost 0 inf + 243454 25.771 * [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)))))))) 25.771 * [simplify]: Simplified (2 1) to (λ (k n) (/ (+ (* (* (* k k) 1/8) (+ (* (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (log (* PI 2))) (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) (+ (exp (* (+ (log n) (log (* PI 2))) 1/2)) (- (* (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (* k k) (* (log n) 1/4))) (* (* 1/2 k) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (+ (log n) (log (* PI 2)))))))) (sqrt k))) 25.771 * * * * [progress]: [ 120 / 127 ] simplifiying candidate # 25.771 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 25.772 * * [simplify]: iters left: 6 (15 enodes) 25.777 * * [simplify]: iters left: 5 (65 enodes) 25.799 * * [simplify]: iters left: 4 (123 enodes) 25.828 * * [simplify]: iters left: 3 (361 enodes) 25.963 * * [simplify]: Extracting #0: cost 1 inf + 0 25.964 * * [simplify]: Extracting #1: cost 37 inf + 0 25.964 * * [simplify]: Extracting #2: cost 213 inf + 72 25.967 * * [simplify]: Extracting #3: cost 350 inf + 1716 25.972 * * [simplify]: Extracting #4: cost 221 inf + 30028 25.984 * * [simplify]: Extracting #5: cost 33 inf + 78046 26.006 * * [simplify]: Extracting #6: cost 1 inf + 88785 26.030 * * [simplify]: Extracting #7: cost 0 inf + 88926 26.045 * * [simplify]: Extracting #8: cost 0 inf + 88841 26.074 * [simplify]: Simplified to (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) 26.074 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) (sqrt k))) 26.074 * * * * [progress]: [ 121 / 127 ] simplifiying candidate # 26.075 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 26.075 * * [simplify]: iters left: 6 (16 enodes) 26.085 * * [simplify]: iters left: 5 (67 enodes) 26.108 * * [simplify]: iters left: 4 (134 enodes) 26.170 * * [simplify]: iters left: 3 (407 enodes) 26.357 * * [simplify]: Extracting #0: cost 1 inf + 0 26.357 * * [simplify]: Extracting #1: cost 39 inf + 0 26.358 * * [simplify]: Extracting #2: cost 241 inf + 72 26.361 * * [simplify]: Extracting #3: cost 449 inf + 888 26.372 * * [simplify]: Extracting #4: cost 283 inf + 39678 26.399 * * [simplify]: Extracting #5: cost 24 inf + 116942 26.427 * * [simplify]: Extracting #6: cost 0 inf + 121984 26.470 * * [simplify]: Extracting #7: cost 0 inf + 121983 26.513 * [simplify]: Simplified to (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) 26.513 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) (sqrt k))) 26.513 * * * * [progress]: [ 122 / 127 ] simplifiying candidate # 26.513 * [simplify]: Simplifying (* 2 (* n PI)) 26.514 * * [simplify]: iters left: 4 (5 enodes) 26.517 * * [simplify]: iters left: 3 (19 enodes) 26.523 * * [simplify]: iters left: 2 (27 enodes) 26.530 * * [simplify]: iters left: 1 (32 enodes) 26.538 * * [simplify]: Extracting #0: cost 1 inf + 0 26.538 * * [simplify]: Extracting #1: cost 8 inf + 0 26.538 * * [simplify]: Extracting #2: cost 7 inf + 45 26.539 * * [simplify]: Extracting #3: cost 0 inf + 421 26.539 * [simplify]: Simplified to (* (* PI n) 2) 26.539 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k))) 26.539 * * * * [progress]: [ 123 / 127 ] simplifiying candidate # 26.539 * [simplify]: Simplifying (* 2 (* n PI)) 26.540 * * [simplify]: iters left: 4 (5 enodes) 26.542 * * [simplify]: iters left: 3 (19 enodes) 26.548 * * [simplify]: iters left: 2 (27 enodes) 26.556 * * [simplify]: iters left: 1 (32 enodes) 26.564 * * [simplify]: Extracting #0: cost 1 inf + 0 26.564 * * [simplify]: Extracting #1: cost 8 inf + 0 26.565 * * [simplify]: Extracting #2: cost 7 inf + 45 26.565 * * [simplify]: Extracting #3: cost 0 inf + 421 26.565 * [simplify]: Simplified to (* (* PI n) 2) 26.565 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k))) 26.565 * * * * [progress]: [ 124 / 127 ] simplifiying candidate # 26.565 * [simplify]: Simplifying (* 2 (* n PI)) 26.566 * * [simplify]: iters left: 4 (5 enodes) 26.568 * * [simplify]: iters left: 3 (19 enodes) 26.576 * * [simplify]: iters left: 2 (27 enodes) 26.580 * * [simplify]: iters left: 1 (32 enodes) 26.584 * * [simplify]: Extracting #0: cost 1 inf + 0 26.584 * * [simplify]: Extracting #1: cost 8 inf + 0 26.584 * * [simplify]: Extracting #2: cost 7 inf + 45 26.585 * * [simplify]: Extracting #3: cost 0 inf + 421 26.585 * [simplify]: Simplified to (* (* PI n) 2) 26.585 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k))) 26.585 * * * * [progress]: [ 125 / 127 ] simplifiying candidate # 26.585 * [simplify]: Simplifying (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))))))))))))))))))) 26.585 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 26.585 * * * * [progress]: [ 126 / 127 ] simplifiying candidate # 26.586 * [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)))))))) 26.586 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 26.586 * * * * [progress]: [ 127 / 127 ] simplifiying candidate # 26.586 * [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)))))))))))) 26.586 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 26.586 * * * [progress]: adding candidates to table 27.901 * * [progress]: iteration 2 / 4 27.901 * * * [progress]: picking best candidate 27.957 * * * * [pick]: Picked # 27.958 * * * [progress]: localizing error 27.996 * * * [progress]: generating rewritten candidates 27.996 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 28.017 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 28.028 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 28.045 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 28.063 * * * [progress]: generating series expansions 28.063 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 28.064 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) into (pow (* 2 (* n PI)) (+ (sqrt k) 1)) 28.064 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (+ (sqrt k) 1)) in (n k) around 0 28.064 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (+ (sqrt k) 1)) in k 28.064 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) 1) (log (* 2 (* n PI))))) in k 28.064 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (log (* 2 (* n PI)))) in k 28.064 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in k 28.064 * [taylor]: Taking taylor expansion of (sqrt k) in k 28.064 * [taylor]: Taking taylor expansion of k in k 28.064 * [backup-simplify]: Simplify 0 into 0 28.064 * [backup-simplify]: Simplify 1 into 1 28.064 * [backup-simplify]: Simplify (sqrt 0) into 0 28.065 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 28.066 * [taylor]: Taking taylor expansion of 1 in k 28.066 * [backup-simplify]: Simplify 1 into 1 28.066 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 28.066 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 28.066 * [taylor]: Taking taylor expansion of 2 in k 28.066 * [backup-simplify]: Simplify 2 into 2 28.066 * [taylor]: Taking taylor expansion of (* n PI) in k 28.066 * [taylor]: Taking taylor expansion of n in k 28.066 * [backup-simplify]: Simplify n into n 28.066 * [taylor]: Taking taylor expansion of PI in k 28.066 * [backup-simplify]: Simplify PI into PI 28.066 * [backup-simplify]: Simplify (* n PI) into (* n PI) 28.066 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 28.066 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 28.066 * [backup-simplify]: Simplify (+ 0 1) into 1 28.066 * [backup-simplify]: Simplify (* 1 (log (* 2 (* n PI)))) into (log (* 2 (* n PI))) 28.066 * [backup-simplify]: Simplify (exp (log (* 2 (* n PI)))) into (* 2 (* n PI)) 28.066 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (+ (sqrt k) 1)) in n 28.066 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) 1) (log (* 2 (* n PI))))) in n 28.066 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (log (* 2 (* n PI)))) in n 28.066 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in n 28.066 * [taylor]: Taking taylor expansion of (sqrt k) in n 28.066 * [taylor]: Taking taylor expansion of k in n 28.066 * [backup-simplify]: Simplify k into k 28.066 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 28.066 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 28.066 * [taylor]: Taking taylor expansion of 1 in n 28.066 * [backup-simplify]: Simplify 1 into 1 28.067 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 28.067 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 28.067 * [taylor]: Taking taylor expansion of 2 in n 28.067 * [backup-simplify]: Simplify 2 into 2 28.067 * [taylor]: Taking taylor expansion of (* n PI) in n 28.067 * [taylor]: Taking taylor expansion of n in n 28.067 * [backup-simplify]: Simplify 0 into 0 28.067 * [backup-simplify]: Simplify 1 into 1 28.067 * [taylor]: Taking taylor expansion of PI in n 28.067 * [backup-simplify]: Simplify PI into PI 28.067 * [backup-simplify]: Simplify (* 0 PI) into 0 28.067 * [backup-simplify]: Simplify (* 2 0) into 0 28.068 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 28.069 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 28.070 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 28.070 * [backup-simplify]: Simplify (+ (sqrt k) 1) into (+ (sqrt k) 1) 28.071 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 28.072 * [backup-simplify]: Simplify (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) into (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) 28.072 * [backup-simplify]: Simplify (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) into (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 28.072 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (+ (sqrt k) 1)) in n 28.072 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) 1) (log (* 2 (* n PI))))) in n 28.072 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (log (* 2 (* n PI)))) in n 28.072 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in n 28.072 * [taylor]: Taking taylor expansion of (sqrt k) in n 28.072 * [taylor]: Taking taylor expansion of k in n 28.072 * [backup-simplify]: Simplify k into k 28.072 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 28.072 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 28.072 * [taylor]: Taking taylor expansion of 1 in n 28.072 * [backup-simplify]: Simplify 1 into 1 28.072 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 28.072 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 28.072 * [taylor]: Taking taylor expansion of 2 in n 28.072 * [backup-simplify]: Simplify 2 into 2 28.073 * [taylor]: Taking taylor expansion of (* n PI) in n 28.073 * [taylor]: Taking taylor expansion of n in n 28.073 * [backup-simplify]: Simplify 0 into 0 28.073 * [backup-simplify]: Simplify 1 into 1 28.073 * [taylor]: Taking taylor expansion of PI in n 28.073 * [backup-simplify]: Simplify PI into PI 28.073 * [backup-simplify]: Simplify (* 0 PI) into 0 28.073 * [backup-simplify]: Simplify (* 2 0) into 0 28.074 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 28.075 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 28.075 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 28.076 * [backup-simplify]: Simplify (+ (sqrt k) 1) into (+ (sqrt k) 1) 28.076 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 28.077 * [backup-simplify]: Simplify (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) into (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) 28.078 * [backup-simplify]: Simplify (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) into (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 28.078 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) in k 28.078 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) in k 28.078 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in k 28.078 * [taylor]: Taking taylor expansion of (sqrt k) in k 28.078 * [taylor]: Taking taylor expansion of k in k 28.078 * [backup-simplify]: Simplify 0 into 0 28.078 * [backup-simplify]: Simplify 1 into 1 28.078 * [backup-simplify]: Simplify (sqrt 0) into 0 28.079 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 28.079 * [taylor]: Taking taylor expansion of 1 in k 28.079 * [backup-simplify]: Simplify 1 into 1 28.079 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 28.079 * [taylor]: Taking taylor expansion of (log n) in k 28.079 * [taylor]: Taking taylor expansion of n in k 28.079 * [backup-simplify]: Simplify n into n 28.079 * [backup-simplify]: Simplify (log n) into (log n) 28.079 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 28.079 * [taylor]: Taking taylor expansion of (* 2 PI) in k 28.079 * [taylor]: Taking taylor expansion of 2 in k 28.079 * [backup-simplify]: Simplify 2 into 2 28.079 * [taylor]: Taking taylor expansion of PI in k 28.079 * [backup-simplify]: Simplify PI into PI 28.079 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 28.080 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 28.080 * [backup-simplify]: Simplify (+ 0 1) into 1 28.081 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 28.081 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 28.082 * [backup-simplify]: Simplify (exp (+ (log n) (log (* 2 PI)))) into (exp (+ (log n) (log (* 2 PI)))) 28.083 * [backup-simplify]: Simplify (exp (+ (log n) (log (* 2 PI)))) into (exp (+ (log n) (log (* 2 PI)))) 28.083 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 28.084 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 28.085 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 28.085 * [backup-simplify]: Simplify (+ 0 0) into 0 28.086 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 28.087 * [backup-simplify]: Simplify (+ (* (+ (sqrt k) 1) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 28.088 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 28.088 * [taylor]: Taking taylor expansion of 0 in k 28.088 * [backup-simplify]: Simplify 0 into 0 28.088 * [backup-simplify]: Simplify 0 into 0 28.088 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 28.089 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 28.090 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 28.090 * [backup-simplify]: Simplify (+ 0 0) into 0 28.090 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 28.091 * [backup-simplify]: Simplify (+ (* 1 0) (* (- +nan.0) (+ (log n) (log (* 2 PI))))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 28.093 * [backup-simplify]: Simplify (* (exp (+ (log n) (log (* 2 PI)))) (+ (* (/ (pow (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (+ (log n) (log (* 2 PI)))))) 28.095 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (+ (log n) (log (* 2 PI)))))) into (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (+ (log n) (log (* 2 PI))))) 28.096 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 28.096 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 28.098 * [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 28.099 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 28.099 * [backup-simplify]: Simplify (+ 0 0) into 0 28.100 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 28.101 * [backup-simplify]: Simplify (+ (* (+ (sqrt k) 1) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 28.102 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 28.102 * [taylor]: Taking taylor expansion of 0 in k 28.102 * [backup-simplify]: Simplify 0 into 0 28.102 * [backup-simplify]: Simplify 0 into 0 28.102 * [backup-simplify]: Simplify 0 into 0 28.103 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 28.104 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 28.105 * [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 28.106 * [backup-simplify]: Simplify (+ 0 0) into 0 28.107 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 28.108 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 28.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (+ (log n) (log (* 2 PI)))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 28.118 * [backup-simplify]: Simplify (* (exp (+ (log n) (log (* 2 PI)))) (+ (* (/ (pow (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (+ (log n) (log (* 2 PI)))))) 28.122 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (+ (log n) (log (* 2 PI)))))) into (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log (* 2 PI))))))))))) (exp (+ (log n) (log (* 2 PI))))) 28.131 * [backup-simplify]: Simplify (+ (* (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log (* 2 PI))))))))))) (exp (+ (log n) (log (* 2 PI))))) (pow (* k 1) 2)) (+ (* (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (+ (log n) (log (* 2 PI))))) (* k 1)) (exp (+ (log n) (log (* 2 PI)))))) into (- (exp (+ (log n) (log (* 2 PI)))) (+ (* +nan.0 (* k (* (exp (+ (log n) (log (* 2 PI)))) (log (* 2 PI))))) (- (+ (* +nan.0 (* k (* (log n) (exp (+ (log n) (log (* 2 PI))))))) (- (+ (* +nan.0 (* (log n) (* (log (* 2 PI)) (* (exp (+ (log n) (log (* 2 PI)))) (pow k 2))))) (- (+ (* +nan.0 (* (exp (+ (log n) (log (* 2 PI)))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (+ (log n) (log (* 2 PI)))) (pow k 2)))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (+ (log n) (log (* 2 PI)))) (pow k 2)))) (- (* +nan.0 (* (exp (+ (log n) (log (* 2 PI)))) (* (pow (log n) 2) (pow k 2))))))))))))))))) 28.132 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (+ 1 (sqrt (/ 1 k))) 1)) into (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) 28.132 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) in (n k) around 0 28.132 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) in k 28.132 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n))))) in k 28.132 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n)))) in k 28.132 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in k 28.132 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 28.132 * [taylor]: Taking taylor expansion of (/ 1 k) in k 28.132 * [taylor]: Taking taylor expansion of k in k 28.132 * [backup-simplify]: Simplify 0 into 0 28.132 * [backup-simplify]: Simplify 1 into 1 28.132 * [backup-simplify]: Simplify (/ 1 1) into 1 28.133 * [backup-simplify]: Simplify (sqrt 0) into 0 28.134 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 28.134 * [taylor]: Taking taylor expansion of 1 in k 28.134 * [backup-simplify]: Simplify 1 into 1 28.134 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 28.134 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 28.134 * [taylor]: Taking taylor expansion of 2 in k 28.134 * [backup-simplify]: Simplify 2 into 2 28.134 * [taylor]: Taking taylor expansion of (/ PI n) in k 28.134 * [taylor]: Taking taylor expansion of PI in k 28.134 * [backup-simplify]: Simplify PI into PI 28.134 * [taylor]: Taking taylor expansion of n in k 28.134 * [backup-simplify]: Simplify n into n 28.134 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 28.134 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 28.134 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 28.134 * [backup-simplify]: Simplify (+ 0 0) into 0 28.134 * [backup-simplify]: Simplify (* 0 (log (* 2 (/ PI n)))) into 0 28.134 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 28.135 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ PI n))) into 0 28.135 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (/ PI n)) 1)))) 1) into 0 28.135 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 28.136 * [backup-simplify]: Simplify (+ (* 0 0) (* (- +nan.0) (log (* 2 (/ PI n))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 28.136 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 28.136 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) in n 28.136 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n))))) in n 28.136 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n)))) in n 28.136 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in n 28.136 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 28.136 * [taylor]: Taking taylor expansion of (/ 1 k) in n 28.136 * [taylor]: Taking taylor expansion of k in n 28.136 * [backup-simplify]: Simplify k into k 28.136 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 28.136 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 28.136 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 28.136 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 28.136 * [taylor]: Taking taylor expansion of 1 in n 28.136 * [backup-simplify]: Simplify 1 into 1 28.137 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 28.137 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 28.137 * [taylor]: Taking taylor expansion of 2 in n 28.137 * [backup-simplify]: Simplify 2 into 2 28.137 * [taylor]: Taking taylor expansion of (/ PI n) in n 28.137 * [taylor]: Taking taylor expansion of PI in n 28.137 * [backup-simplify]: Simplify PI into PI 28.137 * [taylor]: Taking taylor expansion of n in n 28.137 * [backup-simplify]: Simplify 0 into 0 28.137 * [backup-simplify]: Simplify 1 into 1 28.137 * [backup-simplify]: Simplify (/ PI 1) into PI 28.137 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 28.138 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 28.138 * [backup-simplify]: Simplify (+ (sqrt (/ 1 k)) 1) into (+ (sqrt (/ 1 k)) 1) 28.139 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 28.140 * [backup-simplify]: Simplify (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) into (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) 28.140 * [backup-simplify]: Simplify (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) into (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 28.140 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) in n 28.140 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n))))) in n 28.140 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n)))) in n 28.140 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in n 28.140 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 28.140 * [taylor]: Taking taylor expansion of (/ 1 k) in n 28.140 * [taylor]: Taking taylor expansion of k in n 28.140 * [backup-simplify]: Simplify k into k 28.140 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 28.140 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 28.141 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 28.141 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 28.141 * [taylor]: Taking taylor expansion of 1 in n 28.141 * [backup-simplify]: Simplify 1 into 1 28.141 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 28.141 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 28.141 * [taylor]: Taking taylor expansion of 2 in n 28.141 * [backup-simplify]: Simplify 2 into 2 28.141 * [taylor]: Taking taylor expansion of (/ PI n) in n 28.141 * [taylor]: Taking taylor expansion of PI in n 28.141 * [backup-simplify]: Simplify PI into PI 28.141 * [taylor]: Taking taylor expansion of n in n 28.141 * [backup-simplify]: Simplify 0 into 0 28.141 * [backup-simplify]: Simplify 1 into 1 28.141 * [backup-simplify]: Simplify (/ PI 1) into PI 28.141 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 28.142 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 28.142 * [backup-simplify]: Simplify (+ (sqrt (/ 1 k)) 1) into (+ (sqrt (/ 1 k)) 1) 28.143 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 28.144 * [backup-simplify]: Simplify (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) into (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) 28.144 * [backup-simplify]: Simplify (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) into (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 28.144 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) in k 28.144 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) in k 28.144 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in k 28.144 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 28.144 * [taylor]: Taking taylor expansion of (/ 1 k) in k 28.144 * [taylor]: Taking taylor expansion of k in k 28.144 * [backup-simplify]: Simplify 0 into 0 28.144 * [backup-simplify]: Simplify 1 into 1 28.145 * [backup-simplify]: Simplify (/ 1 1) into 1 28.145 * [backup-simplify]: Simplify (sqrt 0) into 0 28.146 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 28.146 * [taylor]: Taking taylor expansion of 1 in k 28.146 * [backup-simplify]: Simplify 1 into 1 28.146 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 28.146 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 28.146 * [taylor]: Taking taylor expansion of (* 2 PI) in k 28.146 * [taylor]: Taking taylor expansion of 2 in k 28.146 * [backup-simplify]: Simplify 2 into 2 28.146 * [taylor]: Taking taylor expansion of PI in k 28.146 * [backup-simplify]: Simplify PI into PI 28.146 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 28.147 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 28.147 * [taylor]: Taking taylor expansion of (log n) in k 28.147 * [taylor]: Taking taylor expansion of n in k 28.147 * [backup-simplify]: Simplify n into n 28.147 * [backup-simplify]: Simplify (log n) into (log n) 28.147 * [backup-simplify]: Simplify (+ 0 0) into 0 28.147 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 28.148 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 28.148 * [backup-simplify]: Simplify (* 0 (- (log (* 2 PI)) (log n))) into 0 28.149 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 28.150 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 28.150 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 28.151 * [backup-simplify]: Simplify (- 0) into 0 28.151 * [backup-simplify]: Simplify (+ 0 0) into 0 28.151 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 28.152 * [backup-simplify]: Simplify (+ (* 0 0) (* (- +nan.0) (- (log (* 2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 28.154 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) 28.156 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) 28.157 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 28.158 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 28.160 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 28.161 * [backup-simplify]: Simplify (+ 0 0) into 0 28.162 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 28.163 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ 1 k)) 1) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 28.165 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 28.165 * [taylor]: Taking taylor expansion of 0 in k 28.165 * [backup-simplify]: Simplify 0 into 0 28.165 * [backup-simplify]: Simplify 0 into 0 28.166 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 28.169 * [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 28.171 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 28.172 * [backup-simplify]: Simplify (- 0) into 0 28.172 * [backup-simplify]: Simplify (+ 0 0) into 0 28.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 28.176 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 28.176 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 28.179 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (- (log (* 2 PI)) (log n))))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 28.183 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) 28.189 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) into (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) 28.190 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.191 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 28.194 * [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 28.195 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 28.195 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 28.196 * [backup-simplify]: Simplify (+ 0 0) into 0 28.197 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 28.199 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ 1 k)) 1) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 28.200 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 28.200 * [taylor]: Taking taylor expansion of 0 in k 28.200 * [backup-simplify]: Simplify 0 into 0 28.200 * [backup-simplify]: Simplify 0 into 0 28.200 * [backup-simplify]: Simplify 0 into 0 28.201 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 28.204 * [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 28.206 * [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 28.206 * [backup-simplify]: Simplify (- 0) into 0 28.206 * [backup-simplify]: Simplify (+ 0 0) into 0 28.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.209 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 28.209 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 28.211 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (- (log (* 2 PI)) (log n)))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 28.216 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) 28.226 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) into (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log (* 2 PI))))))))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) 28.244 * [backup-simplify]: Simplify (+ (* (* (+ (* +nan.0 (pow (log (/ 1 n)) 2)) (- (+ (* +nan.0 (* (log (/ 1 n)) (log (* 2 PI)))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log (* 2 PI))))))))))) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI)))))))) (pow (* (/ 1 k) 1) 2)) (+ (* (* (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI)))))))) (* (/ 1 k) 1)) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))))) into (- (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (* (log (/ 1 n)) (log (* 2 PI)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (* 2 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (/ 1 n)) 2)) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n))) (pow k 2)))))))))))))))) 28.245 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (+ 1 (sqrt (/ 1 (- k)))) 1)) into (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) 28.245 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) in (n k) around 0 28.245 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) in k 28.245 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n))))) in k 28.245 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n)))) in k 28.245 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in k 28.245 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 28.245 * [taylor]: Taking taylor expansion of (/ -1 k) in k 28.245 * [taylor]: Taking taylor expansion of -1 in k 28.245 * [backup-simplify]: Simplify -1 into -1 28.245 * [taylor]: Taking taylor expansion of k in k 28.245 * [backup-simplify]: Simplify 0 into 0 28.245 * [backup-simplify]: Simplify 1 into 1 28.245 * [backup-simplify]: Simplify (/ -1 1) into -1 28.246 * [backup-simplify]: Simplify (sqrt 0) into 0 28.247 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 28.247 * [taylor]: Taking taylor expansion of 1 in k 28.247 * [backup-simplify]: Simplify 1 into 1 28.247 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 28.247 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 28.248 * [taylor]: Taking taylor expansion of -2 in k 28.248 * [backup-simplify]: Simplify -2 into -2 28.248 * [taylor]: Taking taylor expansion of (/ PI n) in k 28.248 * [taylor]: Taking taylor expansion of PI in k 28.248 * [backup-simplify]: Simplify PI into PI 28.248 * [taylor]: Taking taylor expansion of n in k 28.248 * [backup-simplify]: Simplify n into n 28.248 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 28.248 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 28.248 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 28.248 * [backup-simplify]: Simplify (+ 0 0) into 0 28.248 * [backup-simplify]: Simplify (* 0 (log (* -2 (/ PI n)))) into 0 28.249 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 28.249 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (/ PI n))) into 0 28.250 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 (/ PI n)) 1)))) 1) into 0 28.250 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 28.251 * [backup-simplify]: Simplify (+ (* 0 0) (* (- +nan.0) (log (* -2 (/ PI n))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 28.251 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) 28.251 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) in n 28.251 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n))))) in n 28.251 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n)))) in n 28.251 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in n 28.251 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 28.251 * [taylor]: Taking taylor expansion of (/ -1 k) in n 28.251 * [taylor]: Taking taylor expansion of -1 in n 28.252 * [backup-simplify]: Simplify -1 into -1 28.252 * [taylor]: Taking taylor expansion of k in n 28.252 * [backup-simplify]: Simplify k into k 28.252 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 28.252 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 28.252 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 28.252 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 28.252 * [taylor]: Taking taylor expansion of 1 in n 28.252 * [backup-simplify]: Simplify 1 into 1 28.252 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 28.252 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 28.252 * [taylor]: Taking taylor expansion of -2 in n 28.252 * [backup-simplify]: Simplify -2 into -2 28.252 * [taylor]: Taking taylor expansion of (/ PI n) in n 28.252 * [taylor]: Taking taylor expansion of PI in n 28.252 * [backup-simplify]: Simplify PI into PI 28.252 * [taylor]: Taking taylor expansion of n in n 28.252 * [backup-simplify]: Simplify 0 into 0 28.252 * [backup-simplify]: Simplify 1 into 1 28.253 * [backup-simplify]: Simplify (/ PI 1) into PI 28.253 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 28.254 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 28.254 * [backup-simplify]: Simplify (+ (sqrt (/ -1 k)) 1) into (+ (sqrt (/ -1 k)) 1) 28.256 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 28.257 * [backup-simplify]: Simplify (* (+ (sqrt (/ -1 k)) 1) (- (log (* -2 PI)) (log n))) into (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) 28.258 * [backup-simplify]: Simplify (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) into (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) 28.258 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) in n 28.258 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n))))) in n 28.258 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n)))) in n 28.258 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in n 28.258 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 28.258 * [taylor]: Taking taylor expansion of (/ -1 k) in n 28.258 * [taylor]: Taking taylor expansion of -1 in n 28.258 * [backup-simplify]: Simplify -1 into -1 28.258 * [taylor]: Taking taylor expansion of k in n 28.258 * [backup-simplify]: Simplify k into k 28.258 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 28.258 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 28.258 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 28.258 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 28.258 * [taylor]: Taking taylor expansion of 1 in n 28.258 * [backup-simplify]: Simplify 1 into 1 28.258 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 28.258 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 28.258 * [taylor]: Taking taylor expansion of -2 in n 28.258 * [backup-simplify]: Simplify -2 into -2 28.259 * [taylor]: Taking taylor expansion of (/ PI n) in n 28.259 * [taylor]: Taking taylor expansion of PI in n 28.259 * [backup-simplify]: Simplify PI into PI 28.259 * [taylor]: Taking taylor expansion of n in n 28.259 * [backup-simplify]: Simplify 0 into 0 28.259 * [backup-simplify]: Simplify 1 into 1 28.259 * [backup-simplify]: Simplify (/ PI 1) into PI 28.260 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 28.261 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 28.261 * [backup-simplify]: Simplify (+ (sqrt (/ -1 k)) 1) into (+ (sqrt (/ -1 k)) 1) 28.262 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 28.263 * [backup-simplify]: Simplify (* (+ (sqrt (/ -1 k)) 1) (- (log (* -2 PI)) (log n))) into (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) 28.264 * [backup-simplify]: Simplify (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) into (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) 28.264 * [taylor]: Taking taylor expansion of (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) in k 28.264 * [taylor]: Taking taylor expansion of (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) in k 28.264 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 28.264 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 28.264 * [taylor]: Taking taylor expansion of (* -2 PI) in k 28.264 * [taylor]: Taking taylor expansion of -2 in k 28.264 * [backup-simplify]: Simplify -2 into -2 28.264 * [taylor]: Taking taylor expansion of PI in k 28.264 * [backup-simplify]: Simplify PI into PI 28.265 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 28.266 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 28.266 * [taylor]: Taking taylor expansion of (log n) in k 28.266 * [taylor]: Taking taylor expansion of n in k 28.266 * [backup-simplify]: Simplify n into n 28.266 * [backup-simplify]: Simplify (log n) into (log n) 28.266 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in k 28.266 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 28.266 * [taylor]: Taking taylor expansion of (/ -1 k) in k 28.266 * [taylor]: Taking taylor expansion of -1 in k 28.266 * [backup-simplify]: Simplify -1 into -1 28.266 * [taylor]: Taking taylor expansion of k in k 28.266 * [backup-simplify]: Simplify 0 into 0 28.266 * [backup-simplify]: Simplify 1 into 1 28.267 * [backup-simplify]: Simplify (/ -1 1) into -1 28.267 * [backup-simplify]: Simplify (sqrt 0) into 0 28.268 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 28.268 * [taylor]: Taking taylor expansion of 1 in k 28.268 * [backup-simplify]: Simplify 1 into 1 28.268 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 28.269 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 28.270 * [backup-simplify]: Simplify (+ 0 0) into 0 28.271 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) 0) into 0 28.271 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 28.272 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 28.274 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 28.275 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 28.275 * [backup-simplify]: Simplify (- 0) into 0 28.275 * [backup-simplify]: Simplify (+ 0 0) into 0 28.277 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) (- +nan.0)) (* 0 0)) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 28.280 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) 28.283 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) 28.284 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 28.285 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 28.286 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 28.286 * [backup-simplify]: Simplify (+ 0 0) into 0 28.287 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 28.288 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ -1 k)) 1) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 28.289 * [backup-simplify]: Simplify (* (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) (+ (* (/ (pow 0 1) 1)))) into 0 28.289 * [taylor]: Taking taylor expansion of 0 in k 28.289 * [backup-simplify]: Simplify 0 into 0 28.289 * [backup-simplify]: Simplify 0 into 0 28.290 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 28.292 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 28.292 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 28.293 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 28.295 * [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 28.296 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 28.296 * [backup-simplify]: Simplify (- 0) into 0 28.296 * [backup-simplify]: Simplify (+ 0 0) into 0 28.298 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 28.301 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 1) 1)))) into (* -1 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) 28.304 * [backup-simplify]: Simplify (* -1 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) into (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 28.305 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.305 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 28.307 * [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 28.307 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 28.308 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 28.308 * [backup-simplify]: Simplify (+ 0 0) into 0 28.309 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 28.310 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ -1 k)) 1) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 28.311 * [backup-simplify]: Simplify (* (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 28.311 * [taylor]: Taking taylor expansion of 0 in k 28.311 * [backup-simplify]: Simplify 0 into 0 28.311 * [backup-simplify]: Simplify 0 into 0 28.311 * [backup-simplify]: Simplify 0 into 0 28.312 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.314 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 28.315 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 28.316 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 28.322 * [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 28.325 * [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 28.326 * [backup-simplify]: Simplify (- 0) into 0 28.326 * [backup-simplify]: Simplify (+ 0 0) into 0 28.328 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 28.337 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 1) 1)))) into (* -1 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (pow (log (* -2 PI)) 2)) (- (+ (* +nan.0 (* (log n) (log (* -2 PI)))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))))))) 28.353 * [backup-simplify]: Simplify (* -1 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (pow (log (* -2 PI)) 2)) (- (+ (* +nan.0 (* (log n) (log (* -2 PI)))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))))))) into (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* -2 PI)))) (- (+ (* +nan.0 (pow (log (* -2 PI)) 2)) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))))))) 28.371 * [backup-simplify]: Simplify (+ (* (* (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (pow (log (/ 1 (- n))) 2)) (- (+ (* +nan.0 (* (log (/ 1 (- n))) (log (* -2 PI)))) (- (+ (* +nan.0 (pow (log (* -2 PI)) 2)) (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI)))))))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (* (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI)))))) (* (/ 1 (- k)) 1)) (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))))) into (- (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (/ (* (pow (log (/ -1 n)) 2) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (pow (log (* -2 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI))) (pow k 2)))))))))))))))) 28.372 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 28.372 * [backup-simplify]: Simplify (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) into (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k)))) 28.372 * [approximate]: Taking taylor expansion of (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k)))) in (n k) around 0 28.372 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k)))) in k 28.372 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))))) in k 28.372 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1)))) in k 28.372 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt k))) in k 28.373 * [taylor]: Taking taylor expansion of 1/2 in k 28.373 * [backup-simplify]: Simplify 1/2 into 1/2 28.373 * [taylor]: Taking taylor expansion of (- 1 (sqrt k)) in k 28.373 * [taylor]: Taking taylor expansion of 1 in k 28.373 * [backup-simplify]: Simplify 1 into 1 28.373 * [taylor]: Taking taylor expansion of (sqrt k) in k 28.373 * [taylor]: Taking taylor expansion of k in k 28.373 * [backup-simplify]: Simplify 0 into 0 28.373 * [backup-simplify]: Simplify 1 into 1 28.373 * [backup-simplify]: Simplify (sqrt 0) into 0 28.375 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 28.375 * [taylor]: Taking taylor expansion of (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))) in k 28.375 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (+ (sqrt k) 1)) in k 28.375 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) 1) (log (* 2 (* n PI))))) in k 28.375 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (log (* 2 (* n PI)))) in k 28.375 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in k 28.375 * [taylor]: Taking taylor expansion of (sqrt k) in k 28.375 * [taylor]: Taking taylor expansion of k in k 28.375 * [backup-simplify]: Simplify 0 into 0 28.375 * [backup-simplify]: Simplify 1 into 1 28.375 * [backup-simplify]: Simplify (sqrt 0) into 0 28.377 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 28.377 * [taylor]: Taking taylor expansion of 1 in k 28.377 * [backup-simplify]: Simplify 1 into 1 28.377 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 28.377 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 28.377 * [taylor]: Taking taylor expansion of 2 in k 28.377 * [backup-simplify]: Simplify 2 into 2 28.377 * [taylor]: Taking taylor expansion of (* n PI) in k 28.377 * [taylor]: Taking taylor expansion of n in k 28.377 * [backup-simplify]: Simplify n into n 28.377 * [taylor]: Taking taylor expansion of PI in k 28.377 * [backup-simplify]: Simplify PI into PI 28.377 * [backup-simplify]: Simplify (* n PI) into (* n PI) 28.377 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 28.377 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 28.377 * [backup-simplify]: Simplify (+ 0 1) into 1 28.378 * [backup-simplify]: Simplify (* 1 (log (* 2 (* n PI)))) into (log (* 2 (* n PI))) 28.378 * [backup-simplify]: Simplify (exp (log (* 2 (* n PI)))) into (* 2 (* n PI)) 28.378 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 28.378 * [backup-simplify]: Simplify (- 0) into 0 28.379 * [backup-simplify]: Simplify (+ 1 0) into 1 28.379 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 28.379 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 28.379 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 28.379 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k)))) in n 28.379 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))))) in n 28.379 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1)))) in n 28.379 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt k))) in n 28.379 * [taylor]: Taking taylor expansion of 1/2 in n 28.379 * [backup-simplify]: Simplify 1/2 into 1/2 28.379 * [taylor]: Taking taylor expansion of (- 1 (sqrt k)) in n 28.379 * [taylor]: Taking taylor expansion of 1 in n 28.380 * [backup-simplify]: Simplify 1 into 1 28.380 * [taylor]: Taking taylor expansion of (sqrt k) in n 28.380 * [taylor]: Taking taylor expansion of k in n 28.380 * [backup-simplify]: Simplify k into k 28.380 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 28.380 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 28.380 * [taylor]: Taking taylor expansion of (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))) in n 28.380 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (+ (sqrt k) 1)) in n 28.380 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) 1) (log (* 2 (* n PI))))) in n 28.380 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (log (* 2 (* n PI)))) in n 28.380 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in n 28.380 * [taylor]: Taking taylor expansion of (sqrt k) in n 28.380 * [taylor]: Taking taylor expansion of k in n 28.380 * [backup-simplify]: Simplify k into k 28.380 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 28.380 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 28.380 * [taylor]: Taking taylor expansion of 1 in n 28.380 * [backup-simplify]: Simplify 1 into 1 28.380 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 28.380 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 28.380 * [taylor]: Taking taylor expansion of 2 in n 28.380 * [backup-simplify]: Simplify 2 into 2 28.380 * [taylor]: Taking taylor expansion of (* n PI) in n 28.380 * [taylor]: Taking taylor expansion of n in n 28.380 * [backup-simplify]: Simplify 0 into 0 28.380 * [backup-simplify]: Simplify 1 into 1 28.380 * [taylor]: Taking taylor expansion of PI in n 28.380 * [backup-simplify]: Simplify PI into PI 28.381 * [backup-simplify]: Simplify (* 0 PI) into 0 28.381 * [backup-simplify]: Simplify (* 2 0) into 0 28.383 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 28.384 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 28.385 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 28.385 * [backup-simplify]: Simplify (+ (sqrt k) 1) into (+ (sqrt k) 1) 28.387 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 28.388 * [backup-simplify]: Simplify (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) into (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) 28.389 * [backup-simplify]: Simplify (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) into (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 28.390 * [backup-simplify]: Simplify (log (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))))) into (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) 28.390 * [backup-simplify]: Simplify (- (sqrt k)) into (- (sqrt k)) 28.390 * [backup-simplify]: Simplify (+ 1 (- (sqrt k))) into (- 1 (sqrt k)) 28.390 * [backup-simplify]: Simplify (* 1/2 (- 1 (sqrt k))) into (* 1/2 (- 1 (sqrt k))) 28.391 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (sqrt k))) (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) into (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI)))))) 28.392 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) into (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) 28.392 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k)))) in n 28.392 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))))) in n 28.392 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1)))) in n 28.392 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt k))) in n 28.392 * [taylor]: Taking taylor expansion of 1/2 in n 28.392 * [backup-simplify]: Simplify 1/2 into 1/2 28.392 * [taylor]: Taking taylor expansion of (- 1 (sqrt k)) in n 28.392 * [taylor]: Taking taylor expansion of 1 in n 28.392 * [backup-simplify]: Simplify 1 into 1 28.392 * [taylor]: Taking taylor expansion of (sqrt k) in n 28.392 * [taylor]: Taking taylor expansion of k in n 28.392 * [backup-simplify]: Simplify k into k 28.392 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 28.392 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 28.392 * [taylor]: Taking taylor expansion of (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))) in n 28.392 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (+ (sqrt k) 1)) in n 28.392 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) 1) (log (* 2 (* n PI))))) in n 28.392 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (log (* 2 (* n PI)))) in n 28.392 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in n 28.393 * [taylor]: Taking taylor expansion of (sqrt k) in n 28.393 * [taylor]: Taking taylor expansion of k in n 28.393 * [backup-simplify]: Simplify k into k 28.393 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 28.393 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 28.393 * [taylor]: Taking taylor expansion of 1 in n 28.393 * [backup-simplify]: Simplify 1 into 1 28.393 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 28.393 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 28.393 * [taylor]: Taking taylor expansion of 2 in n 28.393 * [backup-simplify]: Simplify 2 into 2 28.393 * [taylor]: Taking taylor expansion of (* n PI) in n 28.393 * [taylor]: Taking taylor expansion of n in n 28.393 * [backup-simplify]: Simplify 0 into 0 28.393 * [backup-simplify]: Simplify 1 into 1 28.393 * [taylor]: Taking taylor expansion of PI in n 28.393 * [backup-simplify]: Simplify PI into PI 28.393 * [backup-simplify]: Simplify (* 0 PI) into 0 28.393 * [backup-simplify]: Simplify (* 2 0) into 0 28.394 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 28.395 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 28.396 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 28.396 * [backup-simplify]: Simplify (+ (sqrt k) 1) into (+ (sqrt k) 1) 28.397 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 28.398 * [backup-simplify]: Simplify (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) into (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) 28.398 * [backup-simplify]: Simplify (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) into (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 28.399 * [backup-simplify]: Simplify (log (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))))) into (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) 28.399 * [backup-simplify]: Simplify (- (sqrt k)) into (- (sqrt k)) 28.399 * [backup-simplify]: Simplify (+ 1 (- (sqrt k))) into (- 1 (sqrt k)) 28.399 * [backup-simplify]: Simplify (* 1/2 (- 1 (sqrt k))) into (* 1/2 (- 1 (sqrt k))) 28.400 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (sqrt k))) (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) into (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI)))))) 28.401 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) into (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) 28.401 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) in k 28.401 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI)))))) in k 28.401 * [taylor]: Taking taylor expansion of 1/2 in k 28.401 * [backup-simplify]: Simplify 1/2 into 1/2 28.401 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))) in k 28.401 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in k 28.401 * [taylor]: Taking taylor expansion of (sqrt k) in k 28.401 * [taylor]: Taking taylor expansion of k in k 28.401 * [backup-simplify]: Simplify 0 into 0 28.401 * [backup-simplify]: Simplify 1 into 1 28.401 * [backup-simplify]: Simplify (sqrt 0) into 0 28.402 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 28.402 * [taylor]: Taking taylor expansion of 1 in k 28.402 * [backup-simplify]: Simplify 1 into 1 28.402 * [taylor]: Taking taylor expansion of (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI)))) in k 28.402 * [taylor]: Taking taylor expansion of (- 1 (sqrt k)) in k 28.402 * [taylor]: Taking taylor expansion of 1 in k 28.402 * [backup-simplify]: Simplify 1 into 1 28.402 * [taylor]: Taking taylor expansion of (sqrt k) in k 28.402 * [taylor]: Taking taylor expansion of k in k 28.402 * [backup-simplify]: Simplify 0 into 0 28.402 * [backup-simplify]: Simplify 1 into 1 28.403 * [backup-simplify]: Simplify (sqrt 0) into 0 28.403 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 28.403 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 28.403 * [taylor]: Taking taylor expansion of (log n) in k 28.403 * [taylor]: Taking taylor expansion of n in k 28.403 * [backup-simplify]: Simplify n into n 28.404 * [backup-simplify]: Simplify (log n) into (log n) 28.404 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 28.404 * [taylor]: Taking taylor expansion of (* 2 PI) in k 28.404 * [taylor]: Taking taylor expansion of 2 in k 28.404 * [backup-simplify]: Simplify 2 into 2 28.404 * [taylor]: Taking taylor expansion of PI in k 28.404 * [backup-simplify]: Simplify PI into PI 28.404 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 28.404 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 28.405 * [backup-simplify]: Simplify (+ 0 1) into 1 28.405 * [backup-simplify]: Simplify (- 0) into 0 28.405 * [backup-simplify]: Simplify (+ 1 0) into 1 28.406 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 28.406 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 28.407 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 28.408 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 28.408 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 28.409 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 28.410 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 28.411 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 28.413 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 28.413 * [backup-simplify]: Simplify (+ 0 0) into 0 28.414 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 28.415 * [backup-simplify]: Simplify (+ (* (+ (sqrt k) 1) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 28.417 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 28.419 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 1)))) 1) into 0 28.419 * [backup-simplify]: Simplify (- 0) into 0 28.420 * [backup-simplify]: Simplify (+ 0 0) into 0 28.420 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (sqrt k)))) into 0 28.421 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (sqrt k))) 0) (* 0 (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))))) into 0 28.423 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) (+ (* (/ (pow 0 1) 1)))) into 0 28.423 * [taylor]: Taking taylor expansion of 0 in k 28.423 * [backup-simplify]: Simplify 0 into 0 28.423 * [backup-simplify]: Simplify 0 into 0 28.424 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 28.425 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 28.427 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 28.427 * [backup-simplify]: Simplify (+ 0 0) into 0 28.427 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 28.428 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 28.430 * [backup-simplify]: Simplify (+ (* 1 0) (* (- +nan.0) (+ (log n) (log (* 2 PI))))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 28.430 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 28.434 * [backup-simplify]: Simplify (+ (* 1 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (* (- +nan.0) (+ (log n) (log (* 2 PI))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 28.437 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 28.441 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 28.445 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) 28.446 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 28.447 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 28.450 * [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 28.451 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 28.452 * [backup-simplify]: Simplify (+ 0 0) into 0 28.453 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 28.454 * [backup-simplify]: Simplify (+ (* (+ (sqrt k) 1) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 28.457 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 28.461 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 1)))) 2) into 0 28.461 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 28.462 * [backup-simplify]: Simplify (- 0) into 0 28.462 * [backup-simplify]: Simplify (+ 0 0) into 0 28.462 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (sqrt k))))) into 0 28.463 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (sqrt k))) 0) (+ (* 0 0) (* 0 (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))))) into 0 28.465 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 28.465 * [taylor]: Taking taylor expansion of 0 in k 28.465 * [backup-simplify]: Simplify 0 into 0 28.465 * [backup-simplify]: Simplify 0 into 0 28.465 * [backup-simplify]: Simplify 0 into 0 28.466 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 28.471 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 28.474 * [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 28.474 * [backup-simplify]: Simplify (+ 0 0) into 0 28.476 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 28.476 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 28.477 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 28.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (+ (log n) (log (* 2 PI)))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 28.480 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 28.480 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 28.484 * [backup-simplify]: Simplify (+ (* 1 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (* (- +nan.0) (+ (log n) (log (* 2 PI)))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 28.488 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* 0 (+ (log n) (log (* 2 PI)))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 28.493 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 28.500 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log (* 2 PI))))))))))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) 28.516 * [backup-simplify]: Simplify (+ (* (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log (* 2 PI))))))))))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (pow (* k 1) 2)) (+ (* (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (* k 1)) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))))))))))))) 28.517 * [backup-simplify]: Simplify (pow (pow (* (/ 1 n) (* 2 PI)) (/ (+ 1 (sqrt (/ 1 k))) 1)) (/ (- 1 (sqrt (/ 1 k))) 2)) into (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k))))) 28.517 * [approximate]: Taking taylor expansion of (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k))))) in (n k) around 0 28.517 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k))))) in k 28.517 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))))) in k 28.517 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)))) in k 28.517 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ 1 k)))) in k 28.517 * [taylor]: Taking taylor expansion of 1/2 in k 28.517 * [backup-simplify]: Simplify 1/2 into 1/2 28.517 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ 1 k))) in k 28.517 * [taylor]: Taking taylor expansion of 1 in k 28.517 * [backup-simplify]: Simplify 1 into 1 28.517 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 28.517 * [taylor]: Taking taylor expansion of (/ 1 k) in k 28.517 * [taylor]: Taking taylor expansion of k in k 28.517 * [backup-simplify]: Simplify 0 into 0 28.517 * [backup-simplify]: Simplify 1 into 1 28.518 * [backup-simplify]: Simplify (/ 1 1) into 1 28.518 * [backup-simplify]: Simplify (sqrt 0) into 0 28.520 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 28.520 * [taylor]: Taking taylor expansion of (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))) in k 28.520 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) in k 28.520 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n))))) in k 28.520 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n)))) in k 28.520 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in k 28.520 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 28.520 * [taylor]: Taking taylor expansion of (/ 1 k) in k 28.520 * [taylor]: Taking taylor expansion of k in k 28.520 * [backup-simplify]: Simplify 0 into 0 28.520 * [backup-simplify]: Simplify 1 into 1 28.520 * [backup-simplify]: Simplify (/ 1 1) into 1 28.522 * [backup-simplify]: Simplify (sqrt 0) into 0 28.523 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 28.523 * [taylor]: Taking taylor expansion of 1 in k 28.523 * [backup-simplify]: Simplify 1 into 1 28.523 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 28.523 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 28.523 * [taylor]: Taking taylor expansion of 2 in k 28.523 * [backup-simplify]: Simplify 2 into 2 28.523 * [taylor]: Taking taylor expansion of (/ PI n) in k 28.523 * [taylor]: Taking taylor expansion of PI in k 28.523 * [backup-simplify]: Simplify PI into PI 28.523 * [taylor]: Taking taylor expansion of n in k 28.523 * [backup-simplify]: Simplify n into n 28.523 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 28.523 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 28.523 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 28.523 * [backup-simplify]: Simplify (+ 0 0) into 0 28.524 * [backup-simplify]: Simplify (* 0 (log (* 2 (/ PI n)))) into 0 28.524 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 28.524 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ PI n))) into 0 28.525 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (/ PI n)) 1)))) 1) into 0 28.525 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 28.525 * [backup-simplify]: Simplify (+ (* 0 0) (* (- +nan.0) (log (* 2 (/ PI n))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 28.525 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 28.526 * [backup-simplify]: Simplify (log (exp (- (* +nan.0 (log (* 2 (/ PI n))))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 28.526 * [backup-simplify]: Simplify (- 0) into 0 28.526 * [backup-simplify]: Simplify (+ 0 0) into 0 28.526 * [backup-simplify]: Simplify (* 1/2 0) into 0 28.526 * [backup-simplify]: Simplify (* 0 (- (* +nan.0 (log (* 2 (/ PI n)))))) into 0 28.527 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 28.527 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ PI n)))) into 0 28.528 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (/ PI n)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (/ PI n)) 1)))) 2) into 0 28.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 28.530 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 28.531 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 28.531 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (log (* 2 (/ PI n)))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 28.532 * [backup-simplify]: Simplify (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (+ (* (/ (pow (- (* +nan.0 (log (* 2 (/ PI n))))) 1) 1)))) into (* +nan.0 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (log (* 2 (/ PI n))))) 28.532 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* +nan.0 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (log (* 2 (/ PI n)))))) 1)) (pow (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 1)))) 1) into (* +nan.0 (log (* 2 (/ PI n)))) 28.532 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 28.533 * [backup-simplify]: Simplify (+ 1 (- +nan.0)) into (- +nan.0) 28.534 * [backup-simplify]: Simplify (+ (* 1/2 (- +nan.0)) (* 0 0)) into (- +nan.0) 28.535 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (log (* 2 (/ PI n))))) (* (- +nan.0) (- (* +nan.0 (log (* 2 (/ PI n))))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 28.535 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 28.535 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k))))) in n 28.535 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))))) in n 28.535 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)))) in n 28.535 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ 1 k)))) in n 28.535 * [taylor]: Taking taylor expansion of 1/2 in n 28.535 * [backup-simplify]: Simplify 1/2 into 1/2 28.535 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ 1 k))) in n 28.535 * [taylor]: Taking taylor expansion of 1 in n 28.535 * [backup-simplify]: Simplify 1 into 1 28.535 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 28.535 * [taylor]: Taking taylor expansion of (/ 1 k) in n 28.535 * [taylor]: Taking taylor expansion of k in n 28.535 * [backup-simplify]: Simplify k into k 28.535 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 28.535 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 28.536 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 28.536 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 28.536 * [taylor]: Taking taylor expansion of (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))) in n 28.536 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) in n 28.536 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n))))) in n 28.536 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n)))) in n 28.536 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in n 28.536 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 28.536 * [taylor]: Taking taylor expansion of (/ 1 k) in n 28.536 * [taylor]: Taking taylor expansion of k in n 28.536 * [backup-simplify]: Simplify k into k 28.536 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 28.536 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 28.536 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 28.536 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 28.536 * [taylor]: Taking taylor expansion of 1 in n 28.536 * [backup-simplify]: Simplify 1 into 1 28.536 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 28.536 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 28.536 * [taylor]: Taking taylor expansion of 2 in n 28.536 * [backup-simplify]: Simplify 2 into 2 28.536 * [taylor]: Taking taylor expansion of (/ PI n) in n 28.536 * [taylor]: Taking taylor expansion of PI in n 28.536 * [backup-simplify]: Simplify PI into PI 28.537 * [taylor]: Taking taylor expansion of n in n 28.537 * [backup-simplify]: Simplify 0 into 0 28.537 * [backup-simplify]: Simplify 1 into 1 28.537 * [backup-simplify]: Simplify (/ PI 1) into PI 28.538 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 28.539 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 28.539 * [backup-simplify]: Simplify (+ (sqrt (/ 1 k)) 1) into (+ (sqrt (/ 1 k)) 1) 28.540 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 28.541 * [backup-simplify]: Simplify (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) into (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) 28.542 * [backup-simplify]: Simplify (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) into (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 28.543 * [backup-simplify]: Simplify (log (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))))) into (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) 28.543 * [backup-simplify]: Simplify (- (sqrt (/ 1 k))) into (- (sqrt (/ 1 k))) 28.543 * [backup-simplify]: Simplify (+ 1 (- (sqrt (/ 1 k)))) into (- 1 (sqrt (/ 1 k))) 28.544 * [backup-simplify]: Simplify (* 1/2 (- 1 (sqrt (/ 1 k)))) into (* 1/2 (- 1 (sqrt (/ 1 k)))) 28.545 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n))))) 28.546 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) 28.546 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k))))) in n 28.546 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))))) in n 28.546 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)))) in n 28.546 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ 1 k)))) in n 28.546 * [taylor]: Taking taylor expansion of 1/2 in n 28.546 * [backup-simplify]: Simplify 1/2 into 1/2 28.546 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ 1 k))) in n 28.546 * [taylor]: Taking taylor expansion of 1 in n 28.546 * [backup-simplify]: Simplify 1 into 1 28.546 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 28.546 * [taylor]: Taking taylor expansion of (/ 1 k) in n 28.546 * [taylor]: Taking taylor expansion of k in n 28.546 * [backup-simplify]: Simplify k into k 28.546 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 28.546 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 28.547 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 28.547 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 28.547 * [taylor]: Taking taylor expansion of (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))) in n 28.547 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) in n 28.547 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n))))) in n 28.547 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n)))) in n 28.547 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in n 28.547 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 28.547 * [taylor]: Taking taylor expansion of (/ 1 k) in n 28.547 * [taylor]: Taking taylor expansion of k in n 28.547 * [backup-simplify]: Simplify k into k 28.547 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 28.547 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 28.547 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 28.547 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 28.547 * [taylor]: Taking taylor expansion of 1 in n 28.547 * [backup-simplify]: Simplify 1 into 1 28.547 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 28.547 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 28.547 * [taylor]: Taking taylor expansion of 2 in n 28.547 * [backup-simplify]: Simplify 2 into 2 28.547 * [taylor]: Taking taylor expansion of (/ PI n) in n 28.547 * [taylor]: Taking taylor expansion of PI in n 28.547 * [backup-simplify]: Simplify PI into PI 28.547 * [taylor]: Taking taylor expansion of n in n 28.547 * [backup-simplify]: Simplify 0 into 0 28.548 * [backup-simplify]: Simplify 1 into 1 28.548 * [backup-simplify]: Simplify (/ PI 1) into PI 28.548 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 28.549 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 28.550 * [backup-simplify]: Simplify (+ (sqrt (/ 1 k)) 1) into (+ (sqrt (/ 1 k)) 1) 28.551 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 28.552 * [backup-simplify]: Simplify (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) into (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) 28.554 * [backup-simplify]: Simplify (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) into (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 28.555 * [backup-simplify]: Simplify (log (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))))) into (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) 28.555 * [backup-simplify]: Simplify (- (sqrt (/ 1 k))) into (- (sqrt (/ 1 k))) 28.555 * [backup-simplify]: Simplify (+ 1 (- (sqrt (/ 1 k)))) into (- 1 (sqrt (/ 1 k))) 28.555 * [backup-simplify]: Simplify (* 1/2 (- 1 (sqrt (/ 1 k)))) into (* 1/2 (- 1 (sqrt (/ 1 k)))) 28.556 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n))))) 28.557 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) 28.558 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) in k 28.558 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n))))) in k 28.558 * [taylor]: Taking taylor expansion of 1/2 in k 28.558 * [backup-simplify]: Simplify 1/2 into 1/2 28.558 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 28.558 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in k 28.558 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 28.558 * [taylor]: Taking taylor expansion of (/ 1 k) in k 28.558 * [taylor]: Taking taylor expansion of k in k 28.558 * [backup-simplify]: Simplify 0 into 0 28.558 * [backup-simplify]: Simplify 1 into 1 28.558 * [backup-simplify]: Simplify (/ 1 1) into 1 28.559 * [backup-simplify]: Simplify (sqrt 0) into 0 28.560 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 28.560 * [taylor]: Taking taylor expansion of 1 in k 28.560 * [backup-simplify]: Simplify 1 into 1 28.561 * [taylor]: Taking taylor expansion of (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 28.561 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ 1 k))) in k 28.561 * [taylor]: Taking taylor expansion of 1 in k 28.561 * [backup-simplify]: Simplify 1 into 1 28.561 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 28.561 * [taylor]: Taking taylor expansion of (/ 1 k) in k 28.561 * [taylor]: Taking taylor expansion of k in k 28.561 * [backup-simplify]: Simplify 0 into 0 28.561 * [backup-simplify]: Simplify 1 into 1 28.561 * [backup-simplify]: Simplify (/ 1 1) into 1 28.561 * [backup-simplify]: Simplify (sqrt 0) into 0 28.563 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 28.563 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 28.563 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 28.563 * [taylor]: Taking taylor expansion of (* 2 PI) in k 28.563 * [taylor]: Taking taylor expansion of 2 in k 28.563 * [backup-simplify]: Simplify 2 into 2 28.563 * [taylor]: Taking taylor expansion of PI in k 28.563 * [backup-simplify]: Simplify PI into PI 28.563 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 28.564 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 28.564 * [taylor]: Taking taylor expansion of (log n) in k 28.564 * [taylor]: Taking taylor expansion of n in k 28.564 * [backup-simplify]: Simplify n into n 28.564 * [backup-simplify]: Simplify (log n) into (log n) 28.565 * [backup-simplify]: Simplify (+ 0 0) into 0 28.565 * [backup-simplify]: Simplify (- 0) into 0 28.566 * [backup-simplify]: Simplify (+ 0 0) into 0 28.566 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 28.566 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 28.567 * [backup-simplify]: Simplify (* 0 (- (log (* 2 PI)) (log n))) into 0 28.567 * [backup-simplify]: Simplify (* 0 0) into 0 28.567 * [backup-simplify]: Simplify (* 1/2 0) into 0 28.568 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 28.569 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 28.569 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 28.569 * [backup-simplify]: Simplify (- 0) into 0 28.570 * [backup-simplify]: Simplify (+ 0 0) into 0 28.570 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 28.570 * [backup-simplify]: Simplify (+ 1 (- +nan.0)) into (- +nan.0) 28.572 * [backup-simplify]: Simplify (+ (* 0 0) (* (- +nan.0) (- (log (* 2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 28.572 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 28.574 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* (- +nan.0) 0)) into 0 28.574 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 0)) into 0 28.575 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 28.576 * [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 28.577 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 28.578 * [backup-simplify]: Simplify (- 0) into 0 28.578 * [backup-simplify]: Simplify (+ 0 0) into 0 28.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 28.580 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 28.580 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 28.586 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 28.588 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (- (log (* 2 PI)) (log n))))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 28.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 28.592 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 28.593 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 28.597 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* (- +nan.0) 0))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 28.599 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 0) (* 0 0))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 28.602 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) 28.604 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) 28.605 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 28.606 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 28.608 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 28.608 * [backup-simplify]: Simplify (+ 0 0) into 0 28.609 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 28.610 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ 1 k)) 1) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 28.611 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 28.612 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 1)))) 1) into 0 28.613 * [backup-simplify]: Simplify (- 0) into 0 28.613 * [backup-simplify]: Simplify (+ 0 0) into 0 28.613 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (sqrt (/ 1 k))))) into 0 28.614 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (sqrt (/ 1 k)))) 0) (* 0 (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))))) into 0 28.615 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) (+ (* (/ (pow 0 1) 1)))) into 0 28.615 * [taylor]: Taking taylor expansion of 0 in k 28.615 * [backup-simplify]: Simplify 0 into 0 28.615 * [backup-simplify]: Simplify 0 into 0 28.616 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 28.619 * [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 28.621 * [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 28.621 * [backup-simplify]: Simplify (- 0) into 0 28.621 * [backup-simplify]: Simplify (+ 0 0) into 0 28.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.624 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 28.624 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 28.625 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 28.626 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (- (log (* 2 PI)) (log n)))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 28.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.629 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 28.630 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 28.635 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* (- +nan.0) 0)))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 28.637 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 0) (* 0 0)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 28.642 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) 28.645 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) into (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) 28.646 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.646 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 28.648 * [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 28.648 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 28.649 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 28.649 * [backup-simplify]: Simplify (+ 0 0) into 0 28.650 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 28.651 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ 1 k)) 1) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 28.652 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 28.654 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 1)))) 2) into 0 28.654 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 28.655 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 28.655 * [backup-simplify]: Simplify (- 0) into 0 28.655 * [backup-simplify]: Simplify (+ 0 0) into 0 28.656 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (sqrt (/ 1 k)))))) into 0 28.657 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (sqrt (/ 1 k)))) 0) (+ (* 0 0) (* 0 (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))))) into 0 28.658 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 28.658 * [taylor]: Taking taylor expansion of 0 in k 28.658 * [backup-simplify]: Simplify 0 into 0 28.658 * [backup-simplify]: Simplify 0 into 0 28.658 * [backup-simplify]: Simplify 0 into 0 28.659 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 28.666 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 2 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* 2 PI) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* 2 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* 2 PI) 1)))) 24) into 0 28.669 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow n 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow n 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow n 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow n 1)))) 24) into 0 28.669 * [backup-simplify]: Simplify (- 0) into 0 28.669 * [backup-simplify]: Simplify (+ 0 0) into 0 28.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.675 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 28.675 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 28.676 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 28.680 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (- (log (* 2 PI)) (log n))))))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 28.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.692 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 28.693 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 28.699 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* (- +nan.0) 0))))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 28.703 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 0) (* 0 0))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 28.709 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) 28.714 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) into (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log (* 2 PI))))))))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) 28.729 * [backup-simplify]: Simplify (+ (* (* (+ (* +nan.0 (pow (log (/ 1 n)) 2)) (- (+ (* +nan.0 (* (log (/ 1 n)) (log (* 2 PI)))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log (* 2 PI))))))))))) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI)))))))) (pow (* (/ 1 k) 1) 2)) (+ (* (* (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI)))))))) (* (/ 1 k) 1)) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))))) into (- (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (* (log (/ 1 n)) (log (* 2 PI)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (* 2 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (/ 1 n)) 2)) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n))) (pow k 2)))))))))))))))) 28.730 * [backup-simplify]: Simplify (pow (pow (* (/ 1 (- n)) (* 2 PI)) (/ (+ 1 (sqrt (/ 1 (- k)))) 1)) (/ (- 1 (sqrt (/ 1 (- k)))) 2)) into (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k))))) 28.730 * [approximate]: Taking taylor expansion of (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k))))) in (n k) around 0 28.730 * [taylor]: Taking taylor expansion of (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k))))) in k 28.730 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))))) in k 28.730 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)))) in k 28.730 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ -1 k)))) in k 28.730 * [taylor]: Taking taylor expansion of 1/2 in k 28.730 * [backup-simplify]: Simplify 1/2 into 1/2 28.730 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ -1 k))) in k 28.730 * [taylor]: Taking taylor expansion of 1 in k 28.730 * [backup-simplify]: Simplify 1 into 1 28.730 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 28.730 * [taylor]: Taking taylor expansion of (/ -1 k) in k 28.730 * [taylor]: Taking taylor expansion of -1 in k 28.730 * [backup-simplify]: Simplify -1 into -1 28.730 * [taylor]: Taking taylor expansion of k in k 28.730 * [backup-simplify]: Simplify 0 into 0 28.730 * [backup-simplify]: Simplify 1 into 1 28.731 * [backup-simplify]: Simplify (/ -1 1) into -1 28.731 * [backup-simplify]: Simplify (sqrt 0) into 0 28.733 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 28.733 * [taylor]: Taking taylor expansion of (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))) in k 28.733 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) in k 28.733 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n))))) in k 28.733 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n)))) in k 28.733 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in k 28.733 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 28.733 * [taylor]: Taking taylor expansion of (/ -1 k) in k 28.733 * [taylor]: Taking taylor expansion of -1 in k 28.733 * [backup-simplify]: Simplify -1 into -1 28.733 * [taylor]: Taking taylor expansion of k in k 28.733 * [backup-simplify]: Simplify 0 into 0 28.733 * [backup-simplify]: Simplify 1 into 1 28.734 * [backup-simplify]: Simplify (/ -1 1) into -1 28.734 * [backup-simplify]: Simplify (sqrt 0) into 0 28.735 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 28.735 * [taylor]: Taking taylor expansion of 1 in k 28.735 * [backup-simplify]: Simplify 1 into 1 28.735 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 28.735 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 28.735 * [taylor]: Taking taylor expansion of -2 in k 28.736 * [backup-simplify]: Simplify -2 into -2 28.736 * [taylor]: Taking taylor expansion of (/ PI n) in k 28.736 * [taylor]: Taking taylor expansion of PI in k 28.736 * [backup-simplify]: Simplify PI into PI 28.736 * [taylor]: Taking taylor expansion of n in k 28.736 * [backup-simplify]: Simplify n into n 28.736 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 28.736 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 28.736 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 28.736 * [backup-simplify]: Simplify (+ 0 0) into 0 28.736 * [backup-simplify]: Simplify (* 0 (log (* -2 (/ PI n)))) into 0 28.737 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 28.737 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (/ PI n))) into 0 28.738 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 (/ PI n)) 1)))) 1) into 0 28.738 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 28.739 * [backup-simplify]: Simplify (+ (* 0 0) (* (- +nan.0) (log (* -2 (/ PI n))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 28.739 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) 28.740 * [backup-simplify]: Simplify (log (exp (- (* +nan.0 (log (* -2 (/ PI n))))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 28.740 * [backup-simplify]: Simplify (- 0) into 0 28.740 * [backup-simplify]: Simplify (+ 0 0) into 0 28.741 * [backup-simplify]: Simplify (* 1/2 0) into 0 28.741 * [backup-simplify]: Simplify (* 0 (- (* +nan.0 (log (* -2 (/ PI n)))))) into 0 28.741 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 28.742 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (/ PI n)))) into 0 28.744 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 (/ PI n)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 (/ PI n)) 1)))) 2) into 0 28.745 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 28.748 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 28.748 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 28.749 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (log (* -2 (/ PI n)))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 28.750 * [backup-simplify]: Simplify (* (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) (+ (* (/ (pow (- (* +nan.0 (log (* -2 (/ PI n))))) 1) 1)))) into (* +nan.0 (* (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) 28.750 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* +nan.0 (* (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n))))))))) 1)) (pow (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) 1)))) 1) into (* +nan.0 (log (* -2 (/ PI n)))) 28.751 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 28.752 * [backup-simplify]: Simplify (+ 1 (- +nan.0)) into (- +nan.0) 28.754 * [backup-simplify]: Simplify (+ (* 1/2 (- +nan.0)) (* 0 0)) into (- +nan.0) 28.754 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (log (* -2 (/ PI n))))) (* (- +nan.0) (- (* +nan.0 (log (* -2 (/ PI n))))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 28.755 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) 28.755 * [taylor]: Taking taylor expansion of (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k))))) in n 28.755 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))))) in n 28.755 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)))) in n 28.755 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ -1 k)))) in n 28.755 * [taylor]: Taking taylor expansion of 1/2 in n 28.755 * [backup-simplify]: Simplify 1/2 into 1/2 28.755 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ -1 k))) in n 28.755 * [taylor]: Taking taylor expansion of 1 in n 28.755 * [backup-simplify]: Simplify 1 into 1 28.755 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 28.755 * [taylor]: Taking taylor expansion of (/ -1 k) in n 28.755 * [taylor]: Taking taylor expansion of -1 in n 28.755 * [backup-simplify]: Simplify -1 into -1 28.755 * [taylor]: Taking taylor expansion of k in n 28.755 * [backup-simplify]: Simplify k into k 28.755 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 28.755 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 28.755 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 28.755 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 28.755 * [taylor]: Taking taylor expansion of (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))) in n 28.755 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) in n 28.755 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n))))) in n 28.755 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n)))) in n 28.755 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in n 28.755 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 28.756 * [taylor]: Taking taylor expansion of (/ -1 k) in n 28.756 * [taylor]: Taking taylor expansion of -1 in n 28.756 * [backup-simplify]: Simplify -1 into -1 28.756 * [taylor]: Taking taylor expansion of k in n 28.756 * [backup-simplify]: Simplify k into k 28.756 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 28.756 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 28.756 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 28.756 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 28.756 * [taylor]: Taking taylor expansion of 1 in n 28.756 * [backup-simplify]: Simplify 1 into 1 28.756 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 28.756 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 28.756 * [taylor]: Taking taylor expansion of -2 in n 28.756 * [backup-simplify]: Simplify -2 into -2 28.756 * [taylor]: Taking taylor expansion of (/ PI n) in n 28.756 * [taylor]: Taking taylor expansion of PI in n 28.756 * [backup-simplify]: Simplify PI into PI 28.756 * [taylor]: Taking taylor expansion of n in n 28.756 * [backup-simplify]: Simplify 0 into 0 28.756 * [backup-simplify]: Simplify 1 into 1 28.757 * [backup-simplify]: Simplify (/ PI 1) into PI 28.757 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 28.758 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 28.758 * [backup-simplify]: Simplify (+ (sqrt (/ -1 k)) 1) into (+ (sqrt (/ -1 k)) 1) 28.760 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 28.761 * [backup-simplify]: Simplify (* (+ (sqrt (/ -1 k)) 1) (- (log (* -2 PI)) (log n))) into (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) 28.762 * [backup-simplify]: Simplify (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) into (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) 28.763 * [backup-simplify]: Simplify (log (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)))) into (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) 28.764 * [backup-simplify]: Simplify (- (sqrt (/ -1 k))) into (- (sqrt (/ -1 k))) 28.764 * [backup-simplify]: Simplify (+ 1 (- (sqrt (/ -1 k)))) into (- 1 (sqrt (/ -1 k))) 28.764 * [backup-simplify]: Simplify (* 1/2 (- 1 (sqrt (/ -1 k)))) into (* 1/2 (- 1 (sqrt (/ -1 k)))) 28.765 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) into (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)))) 28.766 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) into (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) 28.766 * [taylor]: Taking taylor expansion of (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k))))) in n 28.766 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))))) in n 28.766 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)))) in n 28.766 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ -1 k)))) in n 28.766 * [taylor]: Taking taylor expansion of 1/2 in n 28.766 * [backup-simplify]: Simplify 1/2 into 1/2 28.766 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ -1 k))) in n 28.766 * [taylor]: Taking taylor expansion of 1 in n 28.766 * [backup-simplify]: Simplify 1 into 1 28.766 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 28.766 * [taylor]: Taking taylor expansion of (/ -1 k) in n 28.767 * [taylor]: Taking taylor expansion of -1 in n 28.767 * [backup-simplify]: Simplify -1 into -1 28.767 * [taylor]: Taking taylor expansion of k in n 28.767 * [backup-simplify]: Simplify k into k 28.767 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 28.767 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 28.767 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 28.767 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 28.767 * [taylor]: Taking taylor expansion of (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))) in n 28.767 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) in n 28.767 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n))))) in n 28.767 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n)))) in n 28.767 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in n 28.767 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 28.767 * [taylor]: Taking taylor expansion of (/ -1 k) in n 28.767 * [taylor]: Taking taylor expansion of -1 in n 28.767 * [backup-simplify]: Simplify -1 into -1 28.767 * [taylor]: Taking taylor expansion of k in n 28.767 * [backup-simplify]: Simplify k into k 28.767 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 28.767 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 28.767 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 28.768 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 28.768 * [taylor]: Taking taylor expansion of 1 in n 28.768 * [backup-simplify]: Simplify 1 into 1 28.768 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 28.768 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 28.768 * [taylor]: Taking taylor expansion of -2 in n 28.768 * [backup-simplify]: Simplify -2 into -2 28.768 * [taylor]: Taking taylor expansion of (/ PI n) in n 28.768 * [taylor]: Taking taylor expansion of PI in n 28.768 * [backup-simplify]: Simplify PI into PI 28.768 * [taylor]: Taking taylor expansion of n in n 28.768 * [backup-simplify]: Simplify 0 into 0 28.768 * [backup-simplify]: Simplify 1 into 1 28.768 * [backup-simplify]: Simplify (/ PI 1) into PI 28.769 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 28.770 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 28.770 * [backup-simplify]: Simplify (+ (sqrt (/ -1 k)) 1) into (+ (sqrt (/ -1 k)) 1) 28.771 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 28.772 * [backup-simplify]: Simplify (* (+ (sqrt (/ -1 k)) 1) (- (log (* -2 PI)) (log n))) into (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) 28.773 * [backup-simplify]: Simplify (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) into (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) 28.775 * [backup-simplify]: Simplify (log (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)))) into (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) 28.775 * [backup-simplify]: Simplify (- (sqrt (/ -1 k))) into (- (sqrt (/ -1 k))) 28.775 * [backup-simplify]: Simplify (+ 1 (- (sqrt (/ -1 k)))) into (- 1 (sqrt (/ -1 k))) 28.775 * [backup-simplify]: Simplify (* 1/2 (- 1 (sqrt (/ -1 k)))) into (* 1/2 (- 1 (sqrt (/ -1 k)))) 28.776 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) into (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)))) 28.777 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) into (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) 28.777 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) in k 28.777 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)))) in k 28.777 * [taylor]: Taking taylor expansion of 1/2 in k 28.777 * [backup-simplify]: Simplify 1/2 into 1/2 28.777 * [taylor]: Taking taylor expansion of (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) in k 28.777 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ -1 k))) in k 28.777 * [taylor]: Taking taylor expansion of 1 in k 28.777 * [backup-simplify]: Simplify 1 into 1 28.777 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 28.777 * [taylor]: Taking taylor expansion of (/ -1 k) in k 28.777 * [taylor]: Taking taylor expansion of -1 in k 28.778 * [backup-simplify]: Simplify -1 into -1 28.778 * [taylor]: Taking taylor expansion of k in k 28.778 * [backup-simplify]: Simplify 0 into 0 28.778 * [backup-simplify]: Simplify 1 into 1 28.778 * [backup-simplify]: Simplify (/ -1 1) into -1 28.778 * [backup-simplify]: Simplify (sqrt 0) into 0 28.780 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 28.780 * [taylor]: Taking taylor expansion of (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) in k 28.780 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 28.780 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 28.780 * [taylor]: Taking taylor expansion of (* -2 PI) in k 28.780 * [taylor]: Taking taylor expansion of -2 in k 28.780 * [backup-simplify]: Simplify -2 into -2 28.780 * [taylor]: Taking taylor expansion of PI in k 28.780 * [backup-simplify]: Simplify PI into PI 28.781 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 28.781 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 28.781 * [taylor]: Taking taylor expansion of (log n) in k 28.781 * [taylor]: Taking taylor expansion of n in k 28.782 * [backup-simplify]: Simplify n into n 28.782 * [backup-simplify]: Simplify (log n) into (log n) 28.782 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in k 28.782 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 28.782 * [taylor]: Taking taylor expansion of (/ -1 k) in k 28.782 * [taylor]: Taking taylor expansion of -1 in k 28.782 * [backup-simplify]: Simplify -1 into -1 28.782 * [taylor]: Taking taylor expansion of k in k 28.782 * [backup-simplify]: Simplify 0 into 0 28.782 * [backup-simplify]: Simplify 1 into 1 28.782 * [backup-simplify]: Simplify (/ -1 1) into -1 28.783 * [backup-simplify]: Simplify (sqrt 0) into 0 28.784 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 28.784 * [taylor]: Taking taylor expansion of 1 in k 28.784 * [backup-simplify]: Simplify 1 into 1 28.784 * [backup-simplify]: Simplify (- 0) into 0 28.785 * [backup-simplify]: Simplify (+ 0 0) into 0 28.785 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 28.786 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 28.786 * [backup-simplify]: Simplify (+ 0 0) into 0 28.787 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) 0) into 0 28.788 * [backup-simplify]: Simplify (* 0 0) into 0 28.788 * [backup-simplify]: Simplify (* 1/2 0) into 0 28.789 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 28.789 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 28.791 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 28.792 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 28.792 * [backup-simplify]: Simplify (- 0) into 0 28.793 * [backup-simplify]: Simplify (+ 0 0) into 0 28.795 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) (- +nan.0)) (* 0 0)) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 28.795 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 28.796 * [backup-simplify]: Simplify (+ 1 (- +nan.0)) into (- +nan.0) 28.799 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (* (- +nan.0) 0)) into 0 28.800 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 0)) into 0 28.801 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 28.804 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 28.804 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 28.805 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 28.815 * [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 28.817 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 28.818 * [backup-simplify]: Simplify (- 0) into 0 28.818 * [backup-simplify]: Simplify (+ 0 0) into 0 28.820 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 28.821 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 28.825 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 28.825 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 28.826 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 28.832 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (* (- +nan.0) 0))) into (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n))))) 28.834 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 0) (* 0 0))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 28.837 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) 28.840 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) 28.841 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 28.842 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 28.844 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 28.844 * [backup-simplify]: Simplify (+ 0 0) into 0 28.845 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 28.847 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ -1 k)) 1) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 28.849 * [backup-simplify]: Simplify (* (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) (+ (* (/ (pow 0 1) 1)))) into 0 28.850 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) 1)))) 1) into 0 28.851 * [backup-simplify]: Simplify (- 0) into 0 28.851 * [backup-simplify]: Simplify (+ 0 0) into 0 28.852 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (sqrt (/ -1 k))))) into 0 28.853 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (sqrt (/ -1 k)))) 0) (* 0 (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)))) into 0 28.855 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) (+ (* (/ (pow 0 1) 1)))) into 0 28.855 * [taylor]: Taking taylor expansion of 0 in k 28.855 * [backup-simplify]: Simplify 0 into 0 28.855 * [backup-simplify]: Simplify 0 into 0 28.856 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.860 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 28.861 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 28.862 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 28.868 * [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 28.871 * [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 28.871 * [backup-simplify]: Simplify (- 0) into 0 28.872 * [backup-simplify]: Simplify (+ 0 0) into 0 28.874 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 28.875 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.880 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 28.880 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 28.881 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 28.891 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (* (- +nan.0) 0)))) into (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n))))) 28.895 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 0) (* 0 0)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 28.900 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 1) 1)))) into (* -1 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) 28.905 * [backup-simplify]: Simplify (* -1 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) into (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 28.906 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.908 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 28.912 * [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 28.912 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 28.913 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 28.913 * [backup-simplify]: Simplify (+ 0 0) into 0 28.915 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 28.916 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ -1 k)) 1) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 28.918 * [backup-simplify]: Simplify (* (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 28.920 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) 1)))) 2) into 0 28.921 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 28.921 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 28.921 * [backup-simplify]: Simplify (- 0) into 0 28.921 * [backup-simplify]: Simplify (+ 0 0) into 0 28.922 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (sqrt (/ -1 k)))))) into 0 28.923 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (sqrt (/ -1 k)))) 0) (+ (* 0 0) (* 0 (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) into 0 28.925 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 28.925 * [taylor]: Taking taylor expansion of 0 in k 28.925 * [backup-simplify]: Simplify 0 into 0 28.925 * [backup-simplify]: Simplify 0 into 0 28.925 * [backup-simplify]: Simplify 0 into 0 28.925 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.928 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 28.929 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 28.929 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 28.936 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* -2 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* -2 PI) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* -2 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* -2 PI) 1)))) 24) into 0 28.939 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow n 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow n 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow n 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow n 1)))) 24) into 0 28.939 * [backup-simplify]: Simplify (- 0) into 0 28.940 * [backup-simplify]: Simplify (+ 0 0) into 0 28.941 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 28.947 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.952 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 28.952 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 28.953 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 28.965 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (* (- +nan.0) 0))))) into (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n))))) 28.971 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 0) (* 0 0))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 28.980 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 1) 1)))) into (* -1 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (pow (log (* -2 PI)) 2)) (- (+ (* +nan.0 (* (log n) (log (* -2 PI)))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))))))) 28.990 * [backup-simplify]: Simplify (* -1 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (pow (log (* -2 PI)) 2)) (- (+ (* +nan.0 (* (log n) (log (* -2 PI)))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))))))) into (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* -2 PI)))) (- (+ (* +nan.0 (pow (log (* -2 PI)) 2)) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))))))) 29.008 * [backup-simplify]: Simplify (+ (* (* (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (pow (log (/ 1 (- n))) 2)) (- (+ (* +nan.0 (* (log (/ 1 (- n))) (log (* -2 PI)))) (- (+ (* +nan.0 (pow (log (* -2 PI)) 2)) (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI)))))))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (* (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI)))))) (* (/ 1 (- k)) 1)) (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))))) into (- (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (/ (* (pow (log (/ -1 n)) 2) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (pow (log (* -2 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI))) (pow k 2)))))))))))))))) 29.009 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 29.009 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI)) 29.009 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 29.009 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 29.009 * [taylor]: Taking taylor expansion of 2 in n 29.009 * [backup-simplify]: Simplify 2 into 2 29.009 * [taylor]: Taking taylor expansion of (* n PI) in n 29.009 * [taylor]: Taking taylor expansion of n in n 29.010 * [backup-simplify]: Simplify 0 into 0 29.010 * [backup-simplify]: Simplify 1 into 1 29.010 * [taylor]: Taking taylor expansion of PI in n 29.010 * [backup-simplify]: Simplify PI into PI 29.010 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 29.010 * [taylor]: Taking taylor expansion of 2 in n 29.010 * [backup-simplify]: Simplify 2 into 2 29.010 * [taylor]: Taking taylor expansion of (* n PI) in n 29.010 * [taylor]: Taking taylor expansion of n in n 29.010 * [backup-simplify]: Simplify 0 into 0 29.010 * [backup-simplify]: Simplify 1 into 1 29.010 * [taylor]: Taking taylor expansion of PI in n 29.010 * [backup-simplify]: Simplify PI into PI 29.010 * [backup-simplify]: Simplify (* 0 PI) into 0 29.011 * [backup-simplify]: Simplify (* 2 0) into 0 29.011 * [backup-simplify]: Simplify 0 into 0 29.013 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 29.014 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 29.014 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.015 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 29.015 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 29.015 * [backup-simplify]: Simplify 0 into 0 29.016 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 29.017 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 29.017 * [backup-simplify]: Simplify 0 into 0 29.017 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 29.018 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 29.018 * [backup-simplify]: Simplify 0 into 0 29.019 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 29.020 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 29.020 * [backup-simplify]: Simplify 0 into 0 29.021 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 29.022 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 29.022 * [backup-simplify]: Simplify 0 into 0 29.023 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 29.024 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 29.024 * [backup-simplify]: Simplify 0 into 0 29.024 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 29.025 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n)) 29.025 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 29.025 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 29.025 * [taylor]: Taking taylor expansion of 2 in n 29.025 * [backup-simplify]: Simplify 2 into 2 29.025 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.025 * [taylor]: Taking taylor expansion of PI in n 29.025 * [backup-simplify]: Simplify PI into PI 29.025 * [taylor]: Taking taylor expansion of n in n 29.025 * [backup-simplify]: Simplify 0 into 0 29.025 * [backup-simplify]: Simplify 1 into 1 29.025 * [backup-simplify]: Simplify (/ PI 1) into PI 29.025 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 29.025 * [taylor]: Taking taylor expansion of 2 in n 29.025 * [backup-simplify]: Simplify 2 into 2 29.025 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.025 * [taylor]: Taking taylor expansion of PI in n 29.025 * [backup-simplify]: Simplify PI into PI 29.025 * [taylor]: Taking taylor expansion of n in n 29.025 * [backup-simplify]: Simplify 0 into 0 29.025 * [backup-simplify]: Simplify 1 into 1 29.026 * [backup-simplify]: Simplify (/ PI 1) into PI 29.026 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.026 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.027 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 29.027 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 29.027 * [backup-simplify]: Simplify 0 into 0 29.028 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.028 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 29.028 * [backup-simplify]: Simplify 0 into 0 29.029 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.030 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 29.030 * [backup-simplify]: Simplify 0 into 0 29.030 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.031 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 29.031 * [backup-simplify]: Simplify 0 into 0 29.032 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.032 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 29.032 * [backup-simplify]: Simplify 0 into 0 29.033 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.034 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 29.034 * [backup-simplify]: Simplify 0 into 0 29.034 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 29.035 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n)) 29.035 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 29.035 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 29.035 * [taylor]: Taking taylor expansion of -2 in n 29.035 * [backup-simplify]: Simplify -2 into -2 29.035 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.035 * [taylor]: Taking taylor expansion of PI in n 29.035 * [backup-simplify]: Simplify PI into PI 29.035 * [taylor]: Taking taylor expansion of n in n 29.035 * [backup-simplify]: Simplify 0 into 0 29.035 * [backup-simplify]: Simplify 1 into 1 29.035 * [backup-simplify]: Simplify (/ PI 1) into PI 29.035 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 29.035 * [taylor]: Taking taylor expansion of -2 in n 29.035 * [backup-simplify]: Simplify -2 into -2 29.035 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.035 * [taylor]: Taking taylor expansion of PI in n 29.035 * [backup-simplify]: Simplify PI into PI 29.035 * [taylor]: Taking taylor expansion of n in n 29.035 * [backup-simplify]: Simplify 0 into 0 29.035 * [backup-simplify]: Simplify 1 into 1 29.035 * [backup-simplify]: Simplify (/ PI 1) into PI 29.036 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 29.036 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 29.037 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 29.037 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 29.037 * [backup-simplify]: Simplify 0 into 0 29.038 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.038 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 29.038 * [backup-simplify]: Simplify 0 into 0 29.039 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.039 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 29.039 * [backup-simplify]: Simplify 0 into 0 29.040 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.041 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 29.041 * [backup-simplify]: Simplify 0 into 0 29.041 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.042 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 29.042 * [backup-simplify]: Simplify 0 into 0 29.043 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.044 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 29.044 * [backup-simplify]: Simplify 0 into 0 29.044 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 29.044 * * * * [progress]: [ 4 / 4 ] generating series at (2) 29.045 * [backup-simplify]: Simplify (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k)) into (* (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k)))) (sqrt (/ 1 k))) 29.045 * [approximate]: Taking taylor expansion of (* (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k)))) (sqrt (/ 1 k))) in (n k) around 0 29.045 * [taylor]: Taking taylor expansion of (* (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k)))) (sqrt (/ 1 k))) in k 29.045 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k)))) in k 29.045 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))))) in k 29.045 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1)))) in k 29.045 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt k))) in k 29.045 * [taylor]: Taking taylor expansion of 1/2 in k 29.045 * [backup-simplify]: Simplify 1/2 into 1/2 29.045 * [taylor]: Taking taylor expansion of (- 1 (sqrt k)) in k 29.045 * [taylor]: Taking taylor expansion of 1 in k 29.045 * [backup-simplify]: Simplify 1 into 1 29.045 * [taylor]: Taking taylor expansion of (sqrt k) in k 29.045 * [taylor]: Taking taylor expansion of k in k 29.045 * [backup-simplify]: Simplify 0 into 0 29.045 * [backup-simplify]: Simplify 1 into 1 29.045 * [backup-simplify]: Simplify (sqrt 0) into 0 29.046 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 29.046 * [taylor]: Taking taylor expansion of (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))) in k 29.046 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (+ (sqrt k) 1)) in k 29.046 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) 1) (log (* 2 (* n PI))))) in k 29.046 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (log (* 2 (* n PI)))) in k 29.046 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in k 29.046 * [taylor]: Taking taylor expansion of (sqrt k) in k 29.046 * [taylor]: Taking taylor expansion of k in k 29.046 * [backup-simplify]: Simplify 0 into 0 29.046 * [backup-simplify]: Simplify 1 into 1 29.047 * [backup-simplify]: Simplify (sqrt 0) into 0 29.047 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 29.047 * [taylor]: Taking taylor expansion of 1 in k 29.047 * [backup-simplify]: Simplify 1 into 1 29.047 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 29.047 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 29.047 * [taylor]: Taking taylor expansion of 2 in k 29.047 * [backup-simplify]: Simplify 2 into 2 29.047 * [taylor]: Taking taylor expansion of (* n PI) in k 29.047 * [taylor]: Taking taylor expansion of n in k 29.047 * [backup-simplify]: Simplify n into n 29.047 * [taylor]: Taking taylor expansion of PI in k 29.047 * [backup-simplify]: Simplify PI into PI 29.048 * [backup-simplify]: Simplify (* n PI) into (* n PI) 29.048 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 29.048 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 29.048 * [backup-simplify]: Simplify (+ 0 1) into 1 29.048 * [backup-simplify]: Simplify (* 1 (log (* 2 (* n PI)))) into (log (* 2 (* n PI))) 29.048 * [backup-simplify]: Simplify (exp (log (* 2 (* n PI)))) into (* 2 (* n PI)) 29.048 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 29.048 * [backup-simplify]: Simplify (- 0) into 0 29.049 * [backup-simplify]: Simplify (+ 1 0) into 1 29.049 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 29.049 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 29.049 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 29.049 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 29.049 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.049 * [taylor]: Taking taylor expansion of k in k 29.049 * [backup-simplify]: Simplify 0 into 0 29.049 * [backup-simplify]: Simplify 1 into 1 29.049 * [backup-simplify]: Simplify (/ 1 1) into 1 29.050 * [backup-simplify]: Simplify (sqrt 0) into 0 29.050 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 29.050 * [taylor]: Taking taylor expansion of (* (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k)))) (sqrt (/ 1 k))) in n 29.050 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k)))) in n 29.050 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))))) in n 29.050 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1)))) in n 29.050 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt k))) in n 29.050 * [taylor]: Taking taylor expansion of 1/2 in n 29.050 * [backup-simplify]: Simplify 1/2 into 1/2 29.050 * [taylor]: Taking taylor expansion of (- 1 (sqrt k)) in n 29.050 * [taylor]: Taking taylor expansion of 1 in n 29.051 * [backup-simplify]: Simplify 1 into 1 29.051 * [taylor]: Taking taylor expansion of (sqrt k) in n 29.051 * [taylor]: Taking taylor expansion of k in n 29.051 * [backup-simplify]: Simplify k into k 29.051 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 29.051 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 29.051 * [taylor]: Taking taylor expansion of (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))) in n 29.051 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (+ (sqrt k) 1)) in n 29.051 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) 1) (log (* 2 (* n PI))))) in n 29.051 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (log (* 2 (* n PI)))) in n 29.051 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in n 29.051 * [taylor]: Taking taylor expansion of (sqrt k) in n 29.051 * [taylor]: Taking taylor expansion of k in n 29.051 * [backup-simplify]: Simplify k into k 29.051 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 29.051 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 29.051 * [taylor]: Taking taylor expansion of 1 in n 29.051 * [backup-simplify]: Simplify 1 into 1 29.051 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 29.051 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 29.051 * [taylor]: Taking taylor expansion of 2 in n 29.051 * [backup-simplify]: Simplify 2 into 2 29.051 * [taylor]: Taking taylor expansion of (* n PI) in n 29.051 * [taylor]: Taking taylor expansion of n in n 29.051 * [backup-simplify]: Simplify 0 into 0 29.051 * [backup-simplify]: Simplify 1 into 1 29.051 * [taylor]: Taking taylor expansion of PI in n 29.051 * [backup-simplify]: Simplify PI into PI 29.051 * [backup-simplify]: Simplify (* 0 PI) into 0 29.052 * [backup-simplify]: Simplify (* 2 0) into 0 29.052 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 29.053 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 29.054 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.054 * [backup-simplify]: Simplify (+ (sqrt k) 1) into (+ (sqrt k) 1) 29.055 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.055 * [backup-simplify]: Simplify (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) into (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) 29.056 * [backup-simplify]: Simplify (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) into (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 29.057 * [backup-simplify]: Simplify (log (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))))) into (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) 29.057 * [backup-simplify]: Simplify (- (sqrt k)) into (- (sqrt k)) 29.057 * [backup-simplify]: Simplify (+ 1 (- (sqrt k))) into (- 1 (sqrt k)) 29.057 * [backup-simplify]: Simplify (* 1/2 (- 1 (sqrt k))) into (* 1/2 (- 1 (sqrt k))) 29.063 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (sqrt k))) (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) into (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI)))))) 29.065 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) into (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) 29.065 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 29.065 * [taylor]: Taking taylor expansion of (/ 1 k) in n 29.065 * [taylor]: Taking taylor expansion of k in n 29.065 * [backup-simplify]: Simplify k into k 29.065 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 29.065 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 29.065 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 29.065 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 29.065 * [taylor]: Taking taylor expansion of (* (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k)))) (sqrt (/ 1 k))) in n 29.065 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k)))) in n 29.065 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))))) in n 29.065 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1)))) in n 29.065 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt k))) in n 29.065 * [taylor]: Taking taylor expansion of 1/2 in n 29.065 * [backup-simplify]: Simplify 1/2 into 1/2 29.066 * [taylor]: Taking taylor expansion of (- 1 (sqrt k)) in n 29.066 * [taylor]: Taking taylor expansion of 1 in n 29.066 * [backup-simplify]: Simplify 1 into 1 29.066 * [taylor]: Taking taylor expansion of (sqrt k) in n 29.066 * [taylor]: Taking taylor expansion of k in n 29.066 * [backup-simplify]: Simplify k into k 29.066 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 29.066 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 29.066 * [taylor]: Taking taylor expansion of (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))) in n 29.066 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (+ (sqrt k) 1)) in n 29.066 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) 1) (log (* 2 (* n PI))))) in n 29.066 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (log (* 2 (* n PI)))) in n 29.066 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in n 29.066 * [taylor]: Taking taylor expansion of (sqrt k) in n 29.066 * [taylor]: Taking taylor expansion of k in n 29.066 * [backup-simplify]: Simplify k into k 29.066 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 29.066 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 29.066 * [taylor]: Taking taylor expansion of 1 in n 29.066 * [backup-simplify]: Simplify 1 into 1 29.066 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 29.066 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 29.066 * [taylor]: Taking taylor expansion of 2 in n 29.066 * [backup-simplify]: Simplify 2 into 2 29.066 * [taylor]: Taking taylor expansion of (* n PI) in n 29.066 * [taylor]: Taking taylor expansion of n in n 29.066 * [backup-simplify]: Simplify 0 into 0 29.066 * [backup-simplify]: Simplify 1 into 1 29.067 * [taylor]: Taking taylor expansion of PI in n 29.067 * [backup-simplify]: Simplify PI into PI 29.067 * [backup-simplify]: Simplify (* 0 PI) into 0 29.068 * [backup-simplify]: Simplify (* 2 0) into 0 29.069 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 29.071 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 29.072 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.072 * [backup-simplify]: Simplify (+ (sqrt k) 1) into (+ (sqrt k) 1) 29.073 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.074 * [backup-simplify]: Simplify (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) into (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) 29.076 * [backup-simplify]: Simplify (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) into (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 29.077 * [backup-simplify]: Simplify (log (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))))) into (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) 29.077 * [backup-simplify]: Simplify (- (sqrt k)) into (- (sqrt k)) 29.077 * [backup-simplify]: Simplify (+ 1 (- (sqrt k))) into (- 1 (sqrt k)) 29.077 * [backup-simplify]: Simplify (* 1/2 (- 1 (sqrt k))) into (* 1/2 (- 1 (sqrt k))) 29.078 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (sqrt k))) (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) into (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI)))))) 29.079 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) into (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) 29.079 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 29.079 * [taylor]: Taking taylor expansion of (/ 1 k) in n 29.079 * [taylor]: Taking taylor expansion of k in n 29.079 * [backup-simplify]: Simplify k into k 29.079 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 29.079 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 29.079 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 29.080 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 29.081 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) (sqrt (/ 1 k))) into (* (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) (sqrt (/ 1 k))) 29.081 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) (sqrt (/ 1 k))) in k 29.081 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) in k 29.081 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI)))))) in k 29.081 * [taylor]: Taking taylor expansion of 1/2 in k 29.081 * [backup-simplify]: Simplify 1/2 into 1/2 29.081 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))) in k 29.081 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in k 29.081 * [taylor]: Taking taylor expansion of (sqrt k) in k 29.081 * [taylor]: Taking taylor expansion of k in k 29.081 * [backup-simplify]: Simplify 0 into 0 29.081 * [backup-simplify]: Simplify 1 into 1 29.082 * [backup-simplify]: Simplify (sqrt 0) into 0 29.083 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 29.083 * [taylor]: Taking taylor expansion of 1 in k 29.083 * [backup-simplify]: Simplify 1 into 1 29.083 * [taylor]: Taking taylor expansion of (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI)))) in k 29.083 * [taylor]: Taking taylor expansion of (- 1 (sqrt k)) in k 29.083 * [taylor]: Taking taylor expansion of 1 in k 29.083 * [backup-simplify]: Simplify 1 into 1 29.083 * [taylor]: Taking taylor expansion of (sqrt k) in k 29.083 * [taylor]: Taking taylor expansion of k in k 29.083 * [backup-simplify]: Simplify 0 into 0 29.083 * [backup-simplify]: Simplify 1 into 1 29.084 * [backup-simplify]: Simplify (sqrt 0) into 0 29.085 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 29.085 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 29.085 * [taylor]: Taking taylor expansion of (log n) in k 29.085 * [taylor]: Taking taylor expansion of n in k 29.085 * [backup-simplify]: Simplify n into n 29.085 * [backup-simplify]: Simplify (log n) into (log n) 29.085 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 29.085 * [taylor]: Taking taylor expansion of (* 2 PI) in k 29.085 * [taylor]: Taking taylor expansion of 2 in k 29.085 * [backup-simplify]: Simplify 2 into 2 29.085 * [taylor]: Taking taylor expansion of PI in k 29.085 * [backup-simplify]: Simplify PI into PI 29.086 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.087 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.087 * [backup-simplify]: Simplify (+ 0 1) into 1 29.088 * [backup-simplify]: Simplify (- 0) into 0 29.088 * [backup-simplify]: Simplify (+ 1 0) into 1 29.089 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.090 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 29.091 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 29.092 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 29.093 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 29.093 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 29.093 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.093 * [taylor]: Taking taylor expansion of k in k 29.093 * [backup-simplify]: Simplify 0 into 0 29.093 * [backup-simplify]: Simplify 1 into 1 29.094 * [backup-simplify]: Simplify (/ 1 1) into 1 29.094 * [backup-simplify]: Simplify (sqrt 0) into 0 29.095 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 29.096 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 29.096 * [backup-simplify]: Simplify 0 into 0 29.097 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 29.098 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 29.100 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 29.101 * [backup-simplify]: Simplify (+ 0 0) into 0 29.102 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.103 * [backup-simplify]: Simplify (+ (* (+ (sqrt k) 1) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 29.105 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 29.107 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 1)))) 1) into 0 29.107 * [backup-simplify]: Simplify (- 0) into 0 29.107 * [backup-simplify]: Simplify (+ 0 0) into 0 29.108 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (sqrt k)))) into 0 29.109 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (sqrt k))) 0) (* 0 (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))))) into 0 29.112 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) (+ (* (/ (pow 0 1) 1)))) into 0 29.113 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) 0) (* 0 (sqrt (/ 1 k)))) into 0 29.113 * [taylor]: Taking taylor expansion of 0 in k 29.113 * [backup-simplify]: Simplify 0 into 0 29.114 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 29.115 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 29.116 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 29.117 * [backup-simplify]: Simplify (+ 0 0) into 0 29.117 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 29.118 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 29.120 * [backup-simplify]: Simplify (+ (* 1 0) (* (- +nan.0) (+ (log n) (log (* 2 PI))))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 29.120 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 29.123 * [backup-simplify]: Simplify (+ (* 1 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (* (- +nan.0) (+ (log n) (log (* 2 PI))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 29.127 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 29.131 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 29.135 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (* (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0)) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 29.136 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 29.137 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 29.137 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 29.139 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 29.140 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 29.143 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 29.144 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 29.144 * [backup-simplify]: Simplify (+ 0 0) into 0 29.145 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.147 * [backup-simplify]: Simplify (+ (* (+ (sqrt k) 1) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 29.149 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 29.153 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 1)))) 2) into 0 29.154 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 29.154 * [backup-simplify]: Simplify (- 0) into 0 29.154 * [backup-simplify]: Simplify (+ 0 0) into 0 29.155 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (sqrt k))))) into 0 29.157 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (sqrt k))) 0) (+ (* 0 0) (* 0 (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))))) into 0 29.159 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 29.161 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0 29.161 * [taylor]: Taking taylor expansion of 0 in k 29.161 * [backup-simplify]: Simplify 0 into 0 29.161 * [backup-simplify]: Simplify 0 into 0 29.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 29.165 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 29.166 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 29.167 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 29.171 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 29.171 * [backup-simplify]: Simplify (+ 0 0) into 0 29.174 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 29.175 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 29.175 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 29.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (+ (log n) (log (* 2 PI)))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 29.180 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 29.180 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 29.184 * [backup-simplify]: Simplify (+ (* 1 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (* (- +nan.0) (+ (log n) (log (* 2 PI)))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 29.188 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* 0 (+ (log n) (log (* 2 PI)))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 29.197 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 29.204 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (+ (* (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) +nan.0) (* (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) 29.207 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) 29.207 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 29.208 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 29.208 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 29.209 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 29.212 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 29.213 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 29.213 * [backup-simplify]: Simplify (+ 0 0) into 0 29.214 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.215 * [backup-simplify]: Simplify (+ (* (+ (sqrt k) 1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 29.217 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 29.220 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 1)))) 6) into 0 29.221 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 29.221 * [backup-simplify]: Simplify (- 0) into 0 29.221 * [backup-simplify]: Simplify (+ 0 0) into 0 29.222 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (sqrt k)))))) into 0 29.223 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (sqrt k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))))))) into 0 29.224 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 29.226 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0 29.226 * [taylor]: Taking taylor expansion of 0 in k 29.226 * [backup-simplify]: Simplify 0 into 0 29.226 * [backup-simplify]: Simplify 0 into 0 29.226 * [backup-simplify]: Simplify 0 into 0 29.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.229 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 29.230 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0 29.231 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 29.234 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 29.234 * [backup-simplify]: Simplify (+ 0 0) into 0 29.237 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 29.237 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 29.238 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 29.240 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (+ (log n) (log (* 2 PI))))))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 29.242 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 29.242 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 29.247 * [backup-simplify]: Simplify (+ (* 1 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (* (- +nan.0) (+ (log n) (log (* 2 PI))))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 29.252 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* 0 (+ (log n) (log (* 2 PI))))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 29.260 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 3) 6)) (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 1) 1) (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 1) 1)) (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (pow (log n) 3)) (- (+ (* +nan.0 (* (pow (log n) 2) (log (* 2 PI)))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (+ (* +nan.0 (pow (log (* 2 PI)) 3)) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (* (log n) (pow (log (* 2 PI)) 2))))))))))))))))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 29.280 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (+ (* (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) +nan.0) (+ (* (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) +nan.0) (* (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (pow (log n) 3)) (- (+ (* +nan.0 (* (pow (log n) 2) (log (* 2 PI)))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (+ (* +nan.0 (pow (log (* 2 PI)) 3)) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (* (log n) (pow (log (* 2 PI)) 2))))))))))))))))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0)))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) 29.291 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) 29.310 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) (* k 1)) (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))))) into (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))))))))))))))))))) 29.311 * [backup-simplify]: Simplify (/ (pow (pow (* (/ 1 n) (* 2 PI)) (/ (+ 1 (sqrt (/ 1 k))) 1)) (/ (- 1 (sqrt (/ 1 k))) 2)) (sqrt (/ 1 k))) into (* (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k))))) (sqrt k)) 29.311 * [approximate]: Taking taylor expansion of (* (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k))))) (sqrt k)) in (n k) around 0 29.311 * [taylor]: Taking taylor expansion of (* (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k))))) (sqrt k)) in k 29.311 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k))))) in k 29.311 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))))) in k 29.311 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)))) in k 29.311 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ 1 k)))) in k 29.311 * [taylor]: Taking taylor expansion of 1/2 in k 29.311 * [backup-simplify]: Simplify 1/2 into 1/2 29.311 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ 1 k))) in k 29.311 * [taylor]: Taking taylor expansion of 1 in k 29.311 * [backup-simplify]: Simplify 1 into 1 29.311 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 29.311 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.311 * [taylor]: Taking taylor expansion of k in k 29.311 * [backup-simplify]: Simplify 0 into 0 29.311 * [backup-simplify]: Simplify 1 into 1 29.312 * [backup-simplify]: Simplify (/ 1 1) into 1 29.312 * [backup-simplify]: Simplify (sqrt 0) into 0 29.313 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 29.313 * [taylor]: Taking taylor expansion of (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))) in k 29.313 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) in k 29.313 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n))))) in k 29.313 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n)))) in k 29.313 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in k 29.313 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 29.314 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.314 * [taylor]: Taking taylor expansion of k in k 29.314 * [backup-simplify]: Simplify 0 into 0 29.314 * [backup-simplify]: Simplify 1 into 1 29.314 * [backup-simplify]: Simplify (/ 1 1) into 1 29.314 * [backup-simplify]: Simplify (sqrt 0) into 0 29.316 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 29.316 * [taylor]: Taking taylor expansion of 1 in k 29.316 * [backup-simplify]: Simplify 1 into 1 29.316 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 29.316 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 29.316 * [taylor]: Taking taylor expansion of 2 in k 29.316 * [backup-simplify]: Simplify 2 into 2 29.316 * [taylor]: Taking taylor expansion of (/ PI n) in k 29.316 * [taylor]: Taking taylor expansion of PI in k 29.316 * [backup-simplify]: Simplify PI into PI 29.316 * [taylor]: Taking taylor expansion of n in k 29.316 * [backup-simplify]: Simplify n into n 29.316 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 29.316 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 29.316 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 29.317 * [backup-simplify]: Simplify (+ 0 0) into 0 29.317 * [backup-simplify]: Simplify (* 0 (log (* 2 (/ PI n)))) into 0 29.317 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 29.318 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ PI n))) into 0 29.319 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (/ PI n)) 1)))) 1) into 0 29.319 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 29.320 * [backup-simplify]: Simplify (+ (* 0 0) (* (- +nan.0) (log (* 2 (/ PI n))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 29.320 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 29.320 * [backup-simplify]: Simplify (log (exp (- (* +nan.0 (log (* 2 (/ PI n))))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 29.321 * [backup-simplify]: Simplify (- 0) into 0 29.321 * [backup-simplify]: Simplify (+ 0 0) into 0 29.322 * [backup-simplify]: Simplify (* 1/2 0) into 0 29.322 * [backup-simplify]: Simplify (* 0 (- (* +nan.0 (log (* 2 (/ PI n)))))) into 0 29.322 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 29.323 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ PI n)))) into 0 29.324 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (/ PI n)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (/ PI n)) 1)))) 2) into 0 29.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 29.328 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 29.329 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 29.330 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (log (* 2 (/ PI n)))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 29.330 * [backup-simplify]: Simplify (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (+ (* (/ (pow (- (* +nan.0 (log (* 2 (/ PI n))))) 1) 1)))) into (* +nan.0 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (log (* 2 (/ PI n))))) 29.331 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* +nan.0 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (log (* 2 (/ PI n)))))) 1)) (pow (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 1)))) 1) into (* +nan.0 (log (* 2 (/ PI n)))) 29.331 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 29.332 * [backup-simplify]: Simplify (+ 1 (- +nan.0)) into (- +nan.0) 29.334 * [backup-simplify]: Simplify (+ (* 1/2 (- +nan.0)) (* 0 0)) into (- +nan.0) 29.335 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (log (* 2 (/ PI n))))) (* (- +nan.0) (- (* +nan.0 (log (* 2 (/ PI n))))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 29.335 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 29.335 * [taylor]: Taking taylor expansion of (sqrt k) in k 29.335 * [taylor]: Taking taylor expansion of k in k 29.335 * [backup-simplify]: Simplify 0 into 0 29.335 * [backup-simplify]: Simplify 1 into 1 29.336 * [backup-simplify]: Simplify (sqrt 0) into 0 29.337 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 29.337 * [taylor]: Taking taylor expansion of (* (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k))))) (sqrt k)) in n 29.337 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k))))) in n 29.337 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))))) in n 29.337 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)))) in n 29.337 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ 1 k)))) in n 29.337 * [taylor]: Taking taylor expansion of 1/2 in n 29.337 * [backup-simplify]: Simplify 1/2 into 1/2 29.337 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ 1 k))) in n 29.337 * [taylor]: Taking taylor expansion of 1 in n 29.337 * [backup-simplify]: Simplify 1 into 1 29.337 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 29.337 * [taylor]: Taking taylor expansion of (/ 1 k) in n 29.337 * [taylor]: Taking taylor expansion of k in n 29.337 * [backup-simplify]: Simplify k into k 29.337 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 29.338 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 29.338 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 29.338 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 29.338 * [taylor]: Taking taylor expansion of (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))) in n 29.338 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) in n 29.338 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n))))) in n 29.338 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n)))) in n 29.338 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in n 29.338 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 29.338 * [taylor]: Taking taylor expansion of (/ 1 k) in n 29.338 * [taylor]: Taking taylor expansion of k in n 29.338 * [backup-simplify]: Simplify k into k 29.338 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 29.338 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 29.338 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 29.338 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 29.338 * [taylor]: Taking taylor expansion of 1 in n 29.338 * [backup-simplify]: Simplify 1 into 1 29.338 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 29.338 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 29.338 * [taylor]: Taking taylor expansion of 2 in n 29.338 * [backup-simplify]: Simplify 2 into 2 29.338 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.338 * [taylor]: Taking taylor expansion of PI in n 29.339 * [backup-simplify]: Simplify PI into PI 29.339 * [taylor]: Taking taylor expansion of n in n 29.339 * [backup-simplify]: Simplify 0 into 0 29.339 * [backup-simplify]: Simplify 1 into 1 29.339 * [backup-simplify]: Simplify (/ PI 1) into PI 29.339 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.340 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.341 * [backup-simplify]: Simplify (+ (sqrt (/ 1 k)) 1) into (+ (sqrt (/ 1 k)) 1) 29.342 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 29.343 * [backup-simplify]: Simplify (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) into (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) 29.344 * [backup-simplify]: Simplify (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) into (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 29.345 * [backup-simplify]: Simplify (log (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))))) into (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) 29.345 * [backup-simplify]: Simplify (- (sqrt (/ 1 k))) into (- (sqrt (/ 1 k))) 29.345 * [backup-simplify]: Simplify (+ 1 (- (sqrt (/ 1 k)))) into (- 1 (sqrt (/ 1 k))) 29.345 * [backup-simplify]: Simplify (* 1/2 (- 1 (sqrt (/ 1 k)))) into (* 1/2 (- 1 (sqrt (/ 1 k)))) 29.347 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n))))) 29.348 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) 29.348 * [taylor]: Taking taylor expansion of (sqrt k) in n 29.348 * [taylor]: Taking taylor expansion of k in n 29.348 * [backup-simplify]: Simplify k into k 29.348 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 29.348 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 29.348 * [taylor]: Taking taylor expansion of (* (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k))))) (sqrt k)) in n 29.349 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k))))) in n 29.349 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))))) in n 29.349 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)))) in n 29.349 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ 1 k)))) in n 29.349 * [taylor]: Taking taylor expansion of 1/2 in n 29.349 * [backup-simplify]: Simplify 1/2 into 1/2 29.349 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ 1 k))) in n 29.349 * [taylor]: Taking taylor expansion of 1 in n 29.349 * [backup-simplify]: Simplify 1 into 1 29.349 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 29.349 * [taylor]: Taking taylor expansion of (/ 1 k) in n 29.349 * [taylor]: Taking taylor expansion of k in n 29.349 * [backup-simplify]: Simplify k into k 29.349 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 29.349 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 29.349 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 29.349 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 29.349 * [taylor]: Taking taylor expansion of (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))) in n 29.349 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) in n 29.349 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n))))) in n 29.349 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n)))) in n 29.349 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in n 29.349 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 29.349 * [taylor]: Taking taylor expansion of (/ 1 k) in n 29.349 * [taylor]: Taking taylor expansion of k in n 29.349 * [backup-simplify]: Simplify k into k 29.350 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 29.350 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 29.350 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 29.350 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 29.350 * [taylor]: Taking taylor expansion of 1 in n 29.350 * [backup-simplify]: Simplify 1 into 1 29.350 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 29.350 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 29.350 * [taylor]: Taking taylor expansion of 2 in n 29.350 * [backup-simplify]: Simplify 2 into 2 29.350 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.350 * [taylor]: Taking taylor expansion of PI in n 29.350 * [backup-simplify]: Simplify PI into PI 29.350 * [taylor]: Taking taylor expansion of n in n 29.350 * [backup-simplify]: Simplify 0 into 0 29.350 * [backup-simplify]: Simplify 1 into 1 29.351 * [backup-simplify]: Simplify (/ PI 1) into PI 29.351 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.352 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.352 * [backup-simplify]: Simplify (+ (sqrt (/ 1 k)) 1) into (+ (sqrt (/ 1 k)) 1) 29.353 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 29.355 * [backup-simplify]: Simplify (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) into (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) 29.356 * [backup-simplify]: Simplify (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) into (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 29.357 * [backup-simplify]: Simplify (log (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))))) into (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) 29.357 * [backup-simplify]: Simplify (- (sqrt (/ 1 k))) into (- (sqrt (/ 1 k))) 29.357 * [backup-simplify]: Simplify (+ 1 (- (sqrt (/ 1 k)))) into (- 1 (sqrt (/ 1 k))) 29.357 * [backup-simplify]: Simplify (* 1/2 (- 1 (sqrt (/ 1 k)))) into (* 1/2 (- 1 (sqrt (/ 1 k)))) 29.358 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n))))) 29.360 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) 29.360 * [taylor]: Taking taylor expansion of (sqrt k) in n 29.360 * [taylor]: Taking taylor expansion of k in n 29.360 * [backup-simplify]: Simplify k into k 29.360 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 29.360 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 29.361 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) (sqrt k)) into (* (sqrt k) (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n))))))) 29.361 * [taylor]: Taking taylor expansion of (* (sqrt k) (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n))))))) in k 29.361 * [taylor]: Taking taylor expansion of (sqrt k) in k 29.361 * [taylor]: Taking taylor expansion of k in k 29.361 * [backup-simplify]: Simplify 0 into 0 29.361 * [backup-simplify]: Simplify 1 into 1 29.362 * [backup-simplify]: Simplify (sqrt 0) into 0 29.363 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 29.363 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) in k 29.363 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n))))) in k 29.363 * [taylor]: Taking taylor expansion of 1/2 in k 29.363 * [backup-simplify]: Simplify 1/2 into 1/2 29.363 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 29.364 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in k 29.364 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 29.364 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.364 * [taylor]: Taking taylor expansion of k in k 29.364 * [backup-simplify]: Simplify 0 into 0 29.364 * [backup-simplify]: Simplify 1 into 1 29.364 * [backup-simplify]: Simplify (/ 1 1) into 1 29.364 * [backup-simplify]: Simplify (sqrt 0) into 0 29.366 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 29.366 * [taylor]: Taking taylor expansion of 1 in k 29.366 * [backup-simplify]: Simplify 1 into 1 29.366 * [taylor]: Taking taylor expansion of (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 29.366 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ 1 k))) in k 29.366 * [taylor]: Taking taylor expansion of 1 in k 29.366 * [backup-simplify]: Simplify 1 into 1 29.366 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 29.366 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.366 * [taylor]: Taking taylor expansion of k in k 29.366 * [backup-simplify]: Simplify 0 into 0 29.366 * [backup-simplify]: Simplify 1 into 1 29.366 * [backup-simplify]: Simplify (/ 1 1) into 1 29.367 * [backup-simplify]: Simplify (sqrt 0) into 0 29.368 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 29.368 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 29.368 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 29.368 * [taylor]: Taking taylor expansion of (* 2 PI) in k 29.368 * [taylor]: Taking taylor expansion of 2 in k 29.368 * [backup-simplify]: Simplify 2 into 2 29.368 * [taylor]: Taking taylor expansion of PI in k 29.368 * [backup-simplify]: Simplify PI into PI 29.369 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.370 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.370 * [taylor]: Taking taylor expansion of (log n) in k 29.370 * [taylor]: Taking taylor expansion of n in k 29.370 * [backup-simplify]: Simplify n into n 29.370 * [backup-simplify]: Simplify (log n) into (log n) 29.370 * [backup-simplify]: Simplify (+ 0 0) into 0 29.371 * [backup-simplify]: Simplify (- 0) into 0 29.371 * [backup-simplify]: Simplify (+ 0 0) into 0 29.371 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 29.372 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 29.373 * [backup-simplify]: Simplify (* 0 (- (log (* 2 PI)) (log n))) into 0 29.373 * [backup-simplify]: Simplify (* 0 0) into 0 29.374 * [backup-simplify]: Simplify (* 1/2 0) into 0 29.375 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 29.376 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 29.377 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 29.378 * [backup-simplify]: Simplify (- 0) into 0 29.378 * [backup-simplify]: Simplify (+ 0 0) into 0 29.378 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 29.379 * [backup-simplify]: Simplify (+ 1 (- +nan.0)) into (- +nan.0) 29.381 * [backup-simplify]: Simplify (+ (* 0 0) (* (- +nan.0) (- (log (* 2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 29.381 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 29.384 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* (- +nan.0) 0)) into 0 29.385 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 0)) into 0 29.386 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 29.390 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 29.392 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 29.392 * [backup-simplify]: Simplify (- 0) into 0 29.393 * [backup-simplify]: Simplify (+ 0 0) into 0 29.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 29.396 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 29.397 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 29.398 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 29.400 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (- (log (* 2 PI)) (log n))))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 29.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 29.403 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 29.404 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 29.410 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* (- +nan.0) 0))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 29.412 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 0) (* 0 0))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 29.415 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) 29.424 * [backup-simplify]: Simplify (* 0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) into 0 29.424 * [backup-simplify]: Simplify 0 into 0 29.425 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 29.425 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 29.427 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 29.428 * [backup-simplify]: Simplify (+ 0 0) into 0 29.429 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 29.430 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ 1 k)) 1) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 29.432 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 29.434 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 1)))) 1) into 0 29.435 * [backup-simplify]: Simplify (- 0) into 0 29.435 * [backup-simplify]: Simplify (+ 0 0) into 0 29.436 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (sqrt (/ 1 k))))) into 0 29.437 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (sqrt (/ 1 k)))) 0) (* 0 (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))))) into 0 29.439 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) (+ (* (/ (pow 0 1) 1)))) into 0 29.440 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) 0) (* 0 (sqrt k))) into 0 29.440 * [taylor]: Taking taylor expansion of 0 in k 29.440 * [backup-simplify]: Simplify 0 into 0 29.440 * [backup-simplify]: Simplify 0 into 0 29.441 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 29.446 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 29.448 * [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 29.448 * [backup-simplify]: Simplify (- 0) into 0 29.449 * [backup-simplify]: Simplify (+ 0 0) into 0 29.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.452 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 29.452 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 29.452 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 29.454 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (- (log (* 2 PI)) (log n)))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 29.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.457 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 29.457 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 29.462 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* (- +nan.0) 0)))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 29.465 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 0) (* 0 0)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 29.468 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) 29.473 * [backup-simplify]: Simplify (+ (* 0 (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))))) (* +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) into (- (* +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) 29.476 * [backup-simplify]: Simplify (- (* +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) into (- (* +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) 29.476 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 29.477 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.478 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 29.482 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 29.482 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 29.483 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 29.484 * [backup-simplify]: Simplify (+ 0 0) into 0 29.485 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 29.487 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ 1 k)) 1) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 29.489 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 29.493 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 1)))) 2) into 0 29.493 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 29.494 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 29.494 * [backup-simplify]: Simplify (- 0) into 0 29.495 * [backup-simplify]: Simplify (+ 0 0) into 0 29.496 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (sqrt (/ 1 k)))))) into 0 29.497 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (sqrt (/ 1 k)))) 0) (+ (* 0 0) (* 0 (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))))) into 0 29.500 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 29.502 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0 29.502 * [taylor]: Taking taylor expansion of 0 in k 29.502 * [backup-simplify]: Simplify 0 into 0 29.502 * [backup-simplify]: Simplify 0 into 0 29.502 * [backup-simplify]: Simplify 0 into 0 29.503 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 29.511 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 2 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* 2 PI) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* 2 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* 2 PI) 1)))) 24) into 0 29.514 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow n 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow n 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow n 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow n 1)))) 24) into 0 29.515 * [backup-simplify]: Simplify (- 0) into 0 29.515 * [backup-simplify]: Simplify (+ 0 0) into 0 29.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.519 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 29.519 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 29.520 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 29.522 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (- (log (* 2 PI)) (log n))))))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 29.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.525 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 29.525 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 29.536 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* (- +nan.0) 0))))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 29.540 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 0) (* 0 0))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 29.545 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) 29.546 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 29.556 * [backup-simplify]: Simplify (+ (* 0 (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))))) (+ (* +nan.0 (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))))) (* +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))))) into (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (log n))) (- (* +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))))))) 29.562 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (log n))) (- (* +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))))))) into (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (log n))) (- (* +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))))))) 29.562 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 29.563 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.564 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 29.567 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 29.567 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 29.568 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 29.568 * [backup-simplify]: Simplify (+ 0 0) into 0 29.569 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 29.571 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ 1 k)) 1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 29.572 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 29.576 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 1)))) 6) into 0 29.576 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 29.576 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 29.577 * [backup-simplify]: Simplify (- 0) into 0 29.577 * [backup-simplify]: Simplify (+ 0 0) into 0 29.578 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (sqrt (/ 1 k))))))) into 0 29.579 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (sqrt (/ 1 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))))))) into 0 29.580 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 29.582 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0 29.582 * [taylor]: Taking taylor expansion of 0 in k 29.582 * [backup-simplify]: Simplify 0 into 0 29.582 * [backup-simplify]: Simplify 0 into 0 29.582 * [backup-simplify]: Simplify 0 into 0 29.582 * [backup-simplify]: Simplify 0 into 0 29.583 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 29.592 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (* 2 PI) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (* 2 PI) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (* 2 PI) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (* 2 PI) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* 2 PI) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (* 2 PI) 1)))) 120) into 0 29.597 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow n 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow n 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow n 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow n 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow n 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow n 1)))) 120) into 0 29.598 * [backup-simplify]: Simplify (- 0) into 0 29.598 * [backup-simplify]: Simplify (+ 0 0) into 0 29.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.602 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)) (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 29.602 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 29.603 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 29.607 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (- (log (* 2 PI)) (log n)))))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 29.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.613 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)) (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 29.613 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 29.634 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* (- +nan.0) 0)))))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 29.642 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 0) (* 0 0)))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 29.657 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 3) 6)) (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 1) 1) (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 1) 1)) (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (pow (log n) 3)) (- (+ (* +nan.0 (* (pow (log n) 2) (log (* 2 PI)))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (+ (* +nan.0 (pow (log (* 2 PI)) 3)) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (* (log n) (pow (log (* 2 PI)) 2))))))))))))))))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) 29.661 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 29.696 * [backup-simplify]: Simplify (+ (* 0 (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (pow (log n) 3)) (- (+ (* +nan.0 (* (pow (log n) 2) (log (* 2 PI)))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (+ (* +nan.0 (pow (log (* 2 PI)) 3)) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (* (log n) (pow (log (* 2 PI)) 2))))))))))))))))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))))) (+ (* +nan.0 (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))))) (+ (* +nan.0 (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))))) (* +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))))) into (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (log n))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (pow (log n) 2))) (- (* +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))))))))))))) 29.718 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (log n))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (pow (log n) 2))) (- (* +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))))))))))))) into (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (log n))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (pow (log n) 2))) (- (* +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))))))))))))) 29.753 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n)))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (* (log (/ 1 n)) (log (* 2 PI))))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (/ 1 n)) 2))) (- (* +nan.0 (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))))))))))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n)))) (- (* +nan.0 (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) k)) (- (+ (* +nan.0 (/ (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI))) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n))) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (* (log (/ 1 n)) (log (* 2 PI)))) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (/ 1 n)) 2)) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (* 2 PI)) 2)) (pow k 3)))))))))))))))))))))) 29.755 * [backup-simplify]: Simplify (/ (pow (pow (* (/ 1 (- n)) (* 2 PI)) (/ (+ 1 (sqrt (/ 1 (- k)))) 1)) (/ (- 1 (sqrt (/ 1 (- k)))) 2)) (sqrt (/ 1 (- k)))) into (/ (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k))))) (sqrt (/ -1 k))) 29.755 * [approximate]: Taking taylor expansion of (/ (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k))))) (sqrt (/ -1 k))) in (n k) around 0 29.755 * [taylor]: Taking taylor expansion of (/ (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k))))) (sqrt (/ -1 k))) in k 29.755 * [taylor]: Taking taylor expansion of (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k))))) in k 29.755 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))))) in k 29.755 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)))) in k 29.755 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ -1 k)))) in k 29.755 * [taylor]: Taking taylor expansion of 1/2 in k 29.755 * [backup-simplify]: Simplify 1/2 into 1/2 29.755 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ -1 k))) in k 29.755 * [taylor]: Taking taylor expansion of 1 in k 29.755 * [backup-simplify]: Simplify 1 into 1 29.755 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 29.755 * [taylor]: Taking taylor expansion of (/ -1 k) in k 29.755 * [taylor]: Taking taylor expansion of -1 in k 29.755 * [backup-simplify]: Simplify -1 into -1 29.755 * [taylor]: Taking taylor expansion of k in k 29.755 * [backup-simplify]: Simplify 0 into 0 29.755 * [backup-simplify]: Simplify 1 into 1 29.756 * [backup-simplify]: Simplify (/ -1 1) into -1 29.756 * [backup-simplify]: Simplify (sqrt 0) into 0 29.758 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 29.758 * [taylor]: Taking taylor expansion of (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))) in k 29.758 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) in k 29.758 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n))))) in k 29.758 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n)))) in k 29.758 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in k 29.758 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 29.758 * [taylor]: Taking taylor expansion of (/ -1 k) in k 29.758 * [taylor]: Taking taylor expansion of -1 in k 29.758 * [backup-simplify]: Simplify -1 into -1 29.758 * [taylor]: Taking taylor expansion of k in k 29.758 * [backup-simplify]: Simplify 0 into 0 29.758 * [backup-simplify]: Simplify 1 into 1 29.758 * [backup-simplify]: Simplify (/ -1 1) into -1 29.759 * [backup-simplify]: Simplify (sqrt 0) into 0 29.760 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 29.760 * [taylor]: Taking taylor expansion of 1 in k 29.760 * [backup-simplify]: Simplify 1 into 1 29.760 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 29.760 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 29.760 * [taylor]: Taking taylor expansion of -2 in k 29.760 * [backup-simplify]: Simplify -2 into -2 29.760 * [taylor]: Taking taylor expansion of (/ PI n) in k 29.760 * [taylor]: Taking taylor expansion of PI in k 29.760 * [backup-simplify]: Simplify PI into PI 29.760 * [taylor]: Taking taylor expansion of n in k 29.760 * [backup-simplify]: Simplify n into n 29.761 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 29.761 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 29.761 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 29.761 * [backup-simplify]: Simplify (+ 0 0) into 0 29.761 * [backup-simplify]: Simplify (* 0 (log (* -2 (/ PI n)))) into 0 29.761 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 29.762 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (/ PI n))) into 0 29.763 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 (/ PI n)) 1)))) 1) into 0 29.763 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 29.764 * [backup-simplify]: Simplify (+ (* 0 0) (* (- +nan.0) (log (* -2 (/ PI n))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 29.764 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) 29.764 * [backup-simplify]: Simplify (log (exp (- (* +nan.0 (log (* -2 (/ PI n))))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 29.765 * [backup-simplify]: Simplify (- 0) into 0 29.765 * [backup-simplify]: Simplify (+ 0 0) into 0 29.772 * [backup-simplify]: Simplify (* 1/2 0) into 0 29.772 * [backup-simplify]: Simplify (* 0 (- (* +nan.0 (log (* -2 (/ PI n)))))) into 0 29.772 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 29.773 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (/ PI n)))) into 0 29.774 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 (/ PI n)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 (/ PI n)) 1)))) 2) into 0 29.774 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 29.776 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 29.777 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 29.777 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (log (* -2 (/ PI n)))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 29.778 * [backup-simplify]: Simplify (* (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) (+ (* (/ (pow (- (* +nan.0 (log (* -2 (/ PI n))))) 1) 1)))) into (* +nan.0 (* (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) 29.778 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* +nan.0 (* (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n))))))))) 1)) (pow (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) 1)))) 1) into (* +nan.0 (log (* -2 (/ PI n)))) 29.778 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 29.779 * [backup-simplify]: Simplify (+ 1 (- +nan.0)) into (- +nan.0) 29.780 * [backup-simplify]: Simplify (+ (* 1/2 (- +nan.0)) (* 0 0)) into (- +nan.0) 29.780 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (log (* -2 (/ PI n))))) (* (- +nan.0) (- (* +nan.0 (log (* -2 (/ PI n))))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 29.781 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) 29.781 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 29.781 * [taylor]: Taking taylor expansion of (/ -1 k) in k 29.781 * [taylor]: Taking taylor expansion of -1 in k 29.781 * [backup-simplify]: Simplify -1 into -1 29.781 * [taylor]: Taking taylor expansion of k in k 29.781 * [backup-simplify]: Simplify 0 into 0 29.781 * [backup-simplify]: Simplify 1 into 1 29.781 * [backup-simplify]: Simplify (/ -1 1) into -1 29.781 * [backup-simplify]: Simplify (sqrt 0) into 0 29.782 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 29.782 * [backup-simplify]: Simplify (/ (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) +nan.0) into (* +nan.0 (exp (- (* +nan.0 (log (* -2 (/ PI n))))))) 29.782 * [taylor]: Taking taylor expansion of (/ (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k))))) (sqrt (/ -1 k))) in n 29.782 * [taylor]: Taking taylor expansion of (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k))))) in n 29.782 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))))) in n 29.782 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)))) in n 29.782 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ -1 k)))) in n 29.782 * [taylor]: Taking taylor expansion of 1/2 in n 29.782 * [backup-simplify]: Simplify 1/2 into 1/2 29.782 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ -1 k))) in n 29.782 * [taylor]: Taking taylor expansion of 1 in n 29.782 * [backup-simplify]: Simplify 1 into 1 29.782 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 29.782 * [taylor]: Taking taylor expansion of (/ -1 k) in n 29.782 * [taylor]: Taking taylor expansion of -1 in n 29.782 * [backup-simplify]: Simplify -1 into -1 29.782 * [taylor]: Taking taylor expansion of k in n 29.783 * [backup-simplify]: Simplify k into k 29.783 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 29.783 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 29.783 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 29.783 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 29.783 * [taylor]: Taking taylor expansion of (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))) in n 29.783 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) in n 29.783 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n))))) in n 29.783 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n)))) in n 29.783 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in n 29.783 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 29.783 * [taylor]: Taking taylor expansion of (/ -1 k) in n 29.783 * [taylor]: Taking taylor expansion of -1 in n 29.783 * [backup-simplify]: Simplify -1 into -1 29.783 * [taylor]: Taking taylor expansion of k in n 29.783 * [backup-simplify]: Simplify k into k 29.783 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 29.783 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 29.783 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 29.783 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 29.783 * [taylor]: Taking taylor expansion of 1 in n 29.783 * [backup-simplify]: Simplify 1 into 1 29.783 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 29.783 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 29.783 * [taylor]: Taking taylor expansion of -2 in n 29.783 * [backup-simplify]: Simplify -2 into -2 29.783 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.783 * [taylor]: Taking taylor expansion of PI in n 29.783 * [backup-simplify]: Simplify PI into PI 29.783 * [taylor]: Taking taylor expansion of n in n 29.783 * [backup-simplify]: Simplify 0 into 0 29.783 * [backup-simplify]: Simplify 1 into 1 29.784 * [backup-simplify]: Simplify (/ PI 1) into PI 29.784 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 29.785 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 29.785 * [backup-simplify]: Simplify (+ (sqrt (/ -1 k)) 1) into (+ (sqrt (/ -1 k)) 1) 29.786 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 29.786 * [backup-simplify]: Simplify (* (+ (sqrt (/ -1 k)) 1) (- (log (* -2 PI)) (log n))) into (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) 29.787 * [backup-simplify]: Simplify (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) into (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) 29.788 * [backup-simplify]: Simplify (log (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)))) into (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) 29.788 * [backup-simplify]: Simplify (- (sqrt (/ -1 k))) into (- (sqrt (/ -1 k))) 29.788 * [backup-simplify]: Simplify (+ 1 (- (sqrt (/ -1 k)))) into (- 1 (sqrt (/ -1 k))) 29.788 * [backup-simplify]: Simplify (* 1/2 (- 1 (sqrt (/ -1 k)))) into (* 1/2 (- 1 (sqrt (/ -1 k)))) 29.789 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) into (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)))) 29.789 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) into (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) 29.789 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 29.790 * [taylor]: Taking taylor expansion of (/ -1 k) in n 29.790 * [taylor]: Taking taylor expansion of -1 in n 29.790 * [backup-simplify]: Simplify -1 into -1 29.790 * [taylor]: Taking taylor expansion of k in n 29.790 * [backup-simplify]: Simplify k into k 29.790 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 29.790 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 29.790 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 29.790 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 29.791 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) (sqrt (/ -1 k))) into (/ (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) (sqrt (/ -1 k))) 29.791 * [taylor]: Taking taylor expansion of (/ (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k))))) (sqrt (/ -1 k))) in n 29.791 * [taylor]: Taking taylor expansion of (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k))))) in n 29.791 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))))) in n 29.791 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)))) in n 29.791 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ -1 k)))) in n 29.791 * [taylor]: Taking taylor expansion of 1/2 in n 29.791 * [backup-simplify]: Simplify 1/2 into 1/2 29.791 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ -1 k))) in n 29.791 * [taylor]: Taking taylor expansion of 1 in n 29.791 * [backup-simplify]: Simplify 1 into 1 29.791 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 29.791 * [taylor]: Taking taylor expansion of (/ -1 k) in n 29.791 * [taylor]: Taking taylor expansion of -1 in n 29.791 * [backup-simplify]: Simplify -1 into -1 29.791 * [taylor]: Taking taylor expansion of k in n 29.791 * [backup-simplify]: Simplify k into k 29.791 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 29.791 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 29.791 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 29.791 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 29.791 * [taylor]: Taking taylor expansion of (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))) in n 29.791 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) in n 29.791 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n))))) in n 29.791 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n)))) in n 29.791 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in n 29.791 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 29.791 * [taylor]: Taking taylor expansion of (/ -1 k) in n 29.791 * [taylor]: Taking taylor expansion of -1 in n 29.791 * [backup-simplify]: Simplify -1 into -1 29.791 * [taylor]: Taking taylor expansion of k in n 29.791 * [backup-simplify]: Simplify k into k 29.791 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 29.791 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 29.791 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 29.791 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 29.791 * [taylor]: Taking taylor expansion of 1 in n 29.791 * [backup-simplify]: Simplify 1 into 1 29.791 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 29.791 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 29.791 * [taylor]: Taking taylor expansion of -2 in n 29.792 * [backup-simplify]: Simplify -2 into -2 29.792 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.792 * [taylor]: Taking taylor expansion of PI in n 29.792 * [backup-simplify]: Simplify PI into PI 29.792 * [taylor]: Taking taylor expansion of n in n 29.792 * [backup-simplify]: Simplify 0 into 0 29.792 * [backup-simplify]: Simplify 1 into 1 29.792 * [backup-simplify]: Simplify (/ PI 1) into PI 29.792 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 29.793 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 29.793 * [backup-simplify]: Simplify (+ (sqrt (/ -1 k)) 1) into (+ (sqrt (/ -1 k)) 1) 29.794 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 29.794 * [backup-simplify]: Simplify (* (+ (sqrt (/ -1 k)) 1) (- (log (* -2 PI)) (log n))) into (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) 29.795 * [backup-simplify]: Simplify (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) into (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) 29.796 * [backup-simplify]: Simplify (log (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)))) into (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) 29.796 * [backup-simplify]: Simplify (- (sqrt (/ -1 k))) into (- (sqrt (/ -1 k))) 29.796 * [backup-simplify]: Simplify (+ 1 (- (sqrt (/ -1 k)))) into (- 1 (sqrt (/ -1 k))) 29.796 * [backup-simplify]: Simplify (* 1/2 (- 1 (sqrt (/ -1 k)))) into (* 1/2 (- 1 (sqrt (/ -1 k)))) 29.796 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) into (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)))) 29.797 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) into (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) 29.797 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 29.797 * [taylor]: Taking taylor expansion of (/ -1 k) in n 29.797 * [taylor]: Taking taylor expansion of -1 in n 29.797 * [backup-simplify]: Simplify -1 into -1 29.797 * [taylor]: Taking taylor expansion of k in n 29.797 * [backup-simplify]: Simplify k into k 29.797 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 29.797 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 29.797 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 29.798 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 29.798 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) (sqrt (/ -1 k))) into (/ (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) (sqrt (/ -1 k))) 29.798 * [taylor]: Taking taylor expansion of (/ (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) (sqrt (/ -1 k))) in k 29.798 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) in k 29.798 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)))) in k 29.798 * [taylor]: Taking taylor expansion of 1/2 in k 29.798 * [backup-simplify]: Simplify 1/2 into 1/2 29.799 * [taylor]: Taking taylor expansion of (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) in k 29.799 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ -1 k))) in k 29.799 * [taylor]: Taking taylor expansion of 1 in k 29.799 * [backup-simplify]: Simplify 1 into 1 29.799 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 29.799 * [taylor]: Taking taylor expansion of (/ -1 k) in k 29.799 * [taylor]: Taking taylor expansion of -1 in k 29.799 * [backup-simplify]: Simplify -1 into -1 29.799 * [taylor]: Taking taylor expansion of k in k 29.799 * [backup-simplify]: Simplify 0 into 0 29.799 * [backup-simplify]: Simplify 1 into 1 29.799 * [backup-simplify]: Simplify (/ -1 1) into -1 29.799 * [backup-simplify]: Simplify (sqrt 0) into 0 29.800 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 29.800 * [taylor]: Taking taylor expansion of (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) in k 29.800 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 29.800 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 29.800 * [taylor]: Taking taylor expansion of (* -2 PI) in k 29.800 * [taylor]: Taking taylor expansion of -2 in k 29.800 * [backup-simplify]: Simplify -2 into -2 29.800 * [taylor]: Taking taylor expansion of PI in k 29.800 * [backup-simplify]: Simplify PI into PI 29.801 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 29.801 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 29.801 * [taylor]: Taking taylor expansion of (log n) in k 29.801 * [taylor]: Taking taylor expansion of n in k 29.801 * [backup-simplify]: Simplify n into n 29.801 * [backup-simplify]: Simplify (log n) into (log n) 29.801 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in k 29.801 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 29.801 * [taylor]: Taking taylor expansion of (/ -1 k) in k 29.802 * [taylor]: Taking taylor expansion of -1 in k 29.802 * [backup-simplify]: Simplify -1 into -1 29.802 * [taylor]: Taking taylor expansion of k in k 29.802 * [backup-simplify]: Simplify 0 into 0 29.802 * [backup-simplify]: Simplify 1 into 1 29.802 * [backup-simplify]: Simplify (/ -1 1) into -1 29.802 * [backup-simplify]: Simplify (sqrt 0) into 0 29.804 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 29.804 * [taylor]: Taking taylor expansion of 1 in k 29.804 * [backup-simplify]: Simplify 1 into 1 29.804 * [backup-simplify]: Simplify (- 0) into 0 29.805 * [backup-simplify]: Simplify (+ 0 0) into 0 29.805 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 29.806 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 29.806 * [backup-simplify]: Simplify (+ 0 0) into 0 29.807 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) 0) into 0 29.807 * [backup-simplify]: Simplify (* 0 0) into 0 29.808 * [backup-simplify]: Simplify (* 1/2 0) into 0 29.808 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 29.809 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 29.811 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 29.812 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 29.812 * [backup-simplify]: Simplify (- 0) into 0 29.812 * [backup-simplify]: Simplify (+ 0 0) into 0 29.814 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) (- +nan.0)) (* 0 0)) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 29.814 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 29.815 * [backup-simplify]: Simplify (+ 1 (- +nan.0)) into (- +nan.0) 29.819 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (* (- +nan.0) 0)) into 0 29.819 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 0)) into 0 29.820 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 29.823 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 29.824 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 29.825 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 29.828 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0 29.830 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 29.830 * [backup-simplify]: Simplify (- 0) into 0 29.831 * [backup-simplify]: Simplify (+ 0 0) into 0 29.833 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 29.834 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 29.837 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 29.837 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 29.839 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 29.845 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (* (- +nan.0) 0))) into (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n))))) 29.847 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 0) (* 0 0))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 29.850 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) 29.850 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 29.850 * [taylor]: Taking taylor expansion of (/ -1 k) in k 29.850 * [taylor]: Taking taylor expansion of -1 in k 29.850 * [backup-simplify]: Simplify -1 into -1 29.850 * [taylor]: Taking taylor expansion of k in k 29.850 * [backup-simplify]: Simplify 0 into 0 29.850 * [backup-simplify]: Simplify 1 into 1 29.851 * [backup-simplify]: Simplify (/ -1 1) into -1 29.851 * [backup-simplify]: Simplify (sqrt 0) into 0 29.852 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 29.855 * [backup-simplify]: Simplify (/ (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) +nan.0) into (* +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))) 29.858 * [backup-simplify]: Simplify (* +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))) into (* +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))) 29.859 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 29.859 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 29.861 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 29.861 * [backup-simplify]: Simplify (+ 0 0) into 0 29.863 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 29.864 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ -1 k)) 1) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 29.866 * [backup-simplify]: Simplify (* (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) (+ (* (/ (pow 0 1) 1)))) into 0 29.868 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) 1)))) 1) into 0 29.868 * [backup-simplify]: Simplify (- 0) into 0 29.869 * [backup-simplify]: Simplify (+ 0 0) into 0 29.869 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (sqrt (/ -1 k))))) into 0 29.870 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (sqrt (/ -1 k)))) 0) (* 0 (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)))) into 0 29.872 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) (+ (* (/ (pow 0 1) 1)))) into 0 29.873 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0 29.874 * [taylor]: Taking taylor expansion of 0 in k 29.874 * [backup-simplify]: Simplify 0 into 0 29.874 * [backup-simplify]: Simplify 0 into 0 29.875 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.878 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 29.879 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 29.880 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 29.886 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 PI) 1)))) 6) into 0 29.889 * [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 29.889 * [backup-simplify]: Simplify (- 0) into 0 29.890 * [backup-simplify]: Simplify (+ 0 0) into 0 29.892 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 29.898 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.902 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 29.903 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 29.904 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 29.913 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (* (- +nan.0) 0)))) into (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n))))) 29.917 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 0) (* 0 0)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 29.922 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 1) 1)))) into (* -1 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) 29.923 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 29.926 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 29.935 * [backup-simplify]: Simplify (- (/ (* -1 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) +nan.0) (+ (* (* +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))) (/ +nan.0 +nan.0)))) into (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (log n))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI)))) (- (* +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))))))) 29.945 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (log n))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI)))) (- (* +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))))))) into (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (log n))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI)))) (- (* +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))))))) 29.946 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.947 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 29.951 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0 29.951 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 29.952 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 29.953 * [backup-simplify]: Simplify (+ 0 0) into 0 29.954 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 29.955 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ -1 k)) 1) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 29.958 * [backup-simplify]: Simplify (* (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 29.962 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) 1)))) 2) into 0 29.962 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 29.963 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 29.963 * [backup-simplify]: Simplify (- 0) into 0 29.964 * [backup-simplify]: Simplify (+ 0 0) into 0 29.965 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (sqrt (/ -1 k)))))) into 0 29.966 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (sqrt (/ -1 k)))) 0) (+ (* 0 0) (* 0 (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) into 0 29.969 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 29.969 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 29.970 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 29.971 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0 29.971 * [taylor]: Taking taylor expansion of 0 in k 29.971 * [backup-simplify]: Simplify 0 into 0 29.971 * [backup-simplify]: Simplify 0 into 0 29.971 * [backup-simplify]: Simplify 0 into 0 29.971 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.974 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 29.975 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 29.975 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 29.982 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* -2 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* -2 PI) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* -2 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* -2 PI) 1)))) 24) into 0 29.985 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow n 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow n 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow n 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow n 1)))) 24) into 0 29.985 * [backup-simplify]: Simplify (- 0) into 0 29.985 * [backup-simplify]: Simplify (+ 0 0) into 0 29.987 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 29.987 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.990 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 29.990 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 29.991 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 29.998 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (* (- +nan.0) 0))))) into (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n))))) 30.001 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 0) (* 0 0))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 30.008 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 1) 1)))) into (* -1 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (pow (log (* -2 PI)) 2)) (- (+ (* +nan.0 (* (log n) (log (* -2 PI)))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))))))) 30.009 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.018 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 30.031 * [backup-simplify]: Simplify (- (/ (* -1 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (pow (log (* -2 PI)) 2)) (- (+ (* +nan.0 (* (log n) (log (* -2 PI)))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))))))) +nan.0) (+ (* (* +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))) (/ +nan.0 +nan.0)) (* (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (log n))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI)))) (- (* +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))))))) (/ +nan.0 +nan.0)))) into (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (pow (log (* -2 PI)) 2))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI)))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (log n))) (- (+ (* +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))) (- (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (* (log n) (log (* -2 PI)))))))))))))))) 30.044 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (pow (log (* -2 PI)) 2))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI)))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (log n))) (- (+ (* +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))) (- (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (* (log n) (log (* -2 PI)))))))))))))))) into (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (pow (log (* -2 PI)) 2))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI)))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (log n))) (- (+ (* +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))) (- (* +nan.0 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (* (log n) (log (* -2 PI)))))))))))))))) 30.078 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))) (pow (log (/ 1 (- n))) 2))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))) (pow (log (* -2 PI)) 2))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI)))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))) (log (/ 1 (- n))))) (- (+ (* +nan.0 (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI)))))))) (- (* +nan.0 (* (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))) (* (log (/ 1 (- n))) (log (* -2 PI)))))))))))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))) (log (/ 1 (- n))))) (- (+ (* +nan.0 (* (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI)))) (- (* +nan.0 (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI)))))))))) into (- (+ (* +nan.0 (/ (* (pow (log (/ -1 n)) 2) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI))) k)) (- (+ (* +nan.0 (/ (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (pow (log (* -2 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (pow k 2))) (- (+ (* +nan.0 (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (- (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI))) (pow k 2)))))))))))))))))))))) 30.078 * * * [progress]: simplifying candidates 30.078 * * * * [progress]: [ 1 / 209 ] simplifiying candidate # 30.079 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (+ 1 (sqrt k)) 1)) 30.079 * * [simplify]: iters left: 6 (14 enodes) 30.086 * * [simplify]: iters left: 5 (50 enodes) 30.102 * * [simplify]: iters left: 4 (84 enodes) 30.144 * * [simplify]: iters left: 3 (223 enodes) 30.220 * * [simplify]: iters left: 2 (417 enodes) 30.476 * * [simplify]: Extracting #0: cost 1 inf + 0 30.477 * * [simplify]: Extracting #1: cost 82 inf + 0 30.479 * * [simplify]: Extracting #2: cost 286 inf + 1 30.481 * * [simplify]: Extracting #3: cost 273 inf + 2455 30.484 * * [simplify]: Extracting #4: cost 237 inf + 11703 30.495 * * [simplify]: Extracting #5: cost 42 inf + 77895 30.512 * * [simplify]: Extracting #6: cost 0 inf + 92866 30.541 * * [simplify]: Extracting #7: cost 0 inf + 92863 30.575 * [simplify]: Simplified to (+ (* (+ (log n) (+ (log 2) (log PI))) (sqrt k)) (+ (log n) (+ (log 2) (log PI)))) 30.575 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (exp (+ (* (+ (log n) (+ (log 2) (log PI))) (sqrt k)) (+ (log n) (+ (log 2) (log PI))))) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 30.575 * * * * [progress]: [ 2 / 209 ] simplifiying candidate # 30.575 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (+ 1 (sqrt k)) 1)) 30.576 * * [simplify]: iters left: 6 (13 enodes) 30.579 * * [simplify]: iters left: 5 (48 enodes) 30.588 * * [simplify]: iters left: 4 (77 enodes) 30.603 * * [simplify]: iters left: 3 (175 enodes) 30.674 * * [simplify]: iters left: 2 (359 enodes) 30.896 * * [simplify]: Extracting #0: cost 1 inf + 0 30.896 * * [simplify]: Extracting #1: cost 77 inf + 0 30.897 * * [simplify]: Extracting #2: cost 249 inf + 1 30.898 * * [simplify]: Extracting #3: cost 238 inf + 1489 30.899 * * [simplify]: Extracting #4: cost 225 inf + 3319 30.902 * * [simplify]: Extracting #5: cost 184 inf + 14577 30.921 * * [simplify]: Extracting #6: cost 20 inf + 68948 30.949 * * [simplify]: Extracting #7: cost 0 inf + 76453 30.977 * * [simplify]: Extracting #8: cost 0 inf + 76372 31.006 * [simplify]: Simplified to (+ (* (sqrt k) (+ (log n) (log (* 2 PI)))) (+ (log n) (log (* 2 PI)))) 31.006 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (exp (+ (* (sqrt k) (+ (log n) (log (* 2 PI)))) (+ (log n) (log (* 2 PI))))) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 31.006 * * * * [progress]: [ 3 / 209 ] simplifiying candidate # 31.006 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (+ 1 (sqrt k)) 1)) 31.006 * * [simplify]: iters left: 6 (12 enodes) 31.010 * * [simplify]: iters left: 5 (47 enodes) 31.017 * * [simplify]: iters left: 4 (84 enodes) 31.033 * * [simplify]: iters left: 3 (178 enodes) 31.087 * * [simplify]: iters left: 2 (374 enodes) 31.308 * * [simplify]: Extracting #0: cost 1 inf + 0 31.308 * * [simplify]: Extracting #1: cost 80 inf + 0 31.310 * * [simplify]: Extracting #2: cost 245 inf + 1 31.312 * * [simplify]: Extracting #3: cost 238 inf + 986 31.315 * * [simplify]: Extracting #4: cost 201 inf + 6718 31.334 * * [simplify]: Extracting #5: cost 27 inf + 57296 31.357 * * [simplify]: Extracting #6: cost 0 inf + 66670 31.374 * [simplify]: Simplified to (+ (* (sqrt k) (log (* (* PI 2) n))) (log (* (* PI 2) n))) 31.374 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (exp (+ (* (sqrt k) (log (* (* PI 2) n))) (log (* (* PI 2) n)))) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 31.374 * * * * [progress]: [ 4 / 209 ] simplifiying candidate # 31.374 * * * * [progress]: [ 5 / 209 ] simplifiying candidate # 31.374 * [simplify]: Simplifying (* n (* 2 PI)) 31.374 * * [simplify]: iters left: 4 (5 enodes) 31.376 * * [simplify]: iters left: 3 (19 enodes) 31.379 * * [simplify]: iters left: 2 (27 enodes) 31.384 * * [simplify]: iters left: 1 (32 enodes) 31.392 * * [simplify]: Extracting #0: cost 1 inf + 0 31.392 * * [simplify]: Extracting #1: cost 8 inf + 0 31.392 * * [simplify]: Extracting #2: cost 7 inf + 45 31.393 * * [simplify]: Extracting #3: cost 0 inf + 421 31.393 * [simplify]: Simplified to (* (* PI 2) n) 31.393 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (* 1 (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 31.393 * * * * [progress]: [ 6 / 209 ] simplifiying candidate # 31.393 * [simplify]: Simplifying (* n (* 2 PI)) 31.393 * * [simplify]: iters left: 4 (5 enodes) 31.396 * * [simplify]: iters left: 3 (19 enodes) 31.402 * * [simplify]: iters left: 2 (27 enodes) 31.406 * * [simplify]: iters left: 1 (32 enodes) 31.410 * * [simplify]: Extracting #0: cost 1 inf + 0 31.410 * * [simplify]: Extracting #1: cost 8 inf + 0 31.410 * * [simplify]: Extracting #2: cost 7 inf + 45 31.410 * * [simplify]: Extracting #3: cost 0 inf + 421 31.410 * [simplify]: Simplified to (* (* PI 2) n) 31.410 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (* 1 (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 31.410 * * * * [progress]: [ 7 / 209 ] simplifiying candidate # 31.410 * [simplify]: Simplifying (* n (* 2 PI)) 31.410 * * [simplify]: iters left: 4 (5 enodes) 31.412 * * [simplify]: iters left: 3 (19 enodes) 31.414 * * [simplify]: iters left: 2 (27 enodes) 31.418 * * [simplify]: iters left: 1 (32 enodes) 31.422 * * [simplify]: Extracting #0: cost 1 inf + 0 31.422 * * [simplify]: Extracting #1: cost 8 inf + 0 31.422 * * [simplify]: Extracting #2: cost 7 inf + 45 31.422 * * [simplify]: Extracting #3: cost 0 inf + 421 31.422 * [simplify]: Simplified to (* (* PI 2) n) 31.422 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (* 1 (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 31.422 * * * * [progress]: [ 8 / 209 ] simplifiying candidate # 31.423 * [simplify]: Simplifying (cbrt (/ (+ 1 (sqrt k)) 1)) 31.423 * * [simplify]: iters left: 6 (6 enodes) 31.424 * * [simplify]: iters left: 5 (19 enodes) 31.427 * * [simplify]: iters left: 4 (21 enodes) 31.431 * * [simplify]: Extracting #0: cost 1 inf + 0 31.431 * * [simplify]: Extracting #1: cost 3 inf + 0 31.431 * * [simplify]: Extracting #2: cost 6 inf + 0 31.431 * * [simplify]: Extracting #3: cost 7 inf + 1 31.431 * * [simplify]: Extracting #4: cost 0 inf + 572 31.431 * [simplify]: Simplified to (cbrt (+ 1 (sqrt k))) 31.431 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (* (cbrt (/ (+ 1 (sqrt k)) 1)) (cbrt (/ (+ 1 (sqrt k)) 1)))) (cbrt (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 31.431 * * * * [progress]: [ 9 / 209 ] simplifiying candidate # 31.432 * [simplify]: Simplifying (sqrt (/ (+ 1 (sqrt k)) 1)) 31.432 * * [simplify]: iters left: 6 (6 enodes) 31.435 * * [simplify]: iters left: 5 (19 enodes) 31.440 * * [simplify]: iters left: 4 (21 enodes) 31.446 * * [simplify]: Extracting #0: cost 1 inf + 0 31.446 * * [simplify]: Extracting #1: cost 3 inf + 0 31.446 * * [simplify]: Extracting #2: cost 6 inf + 0 31.446 * * [simplify]: Extracting #3: cost 7 inf + 1 31.446 * * [simplify]: Extracting #4: cost 0 inf + 492 31.447 * [simplify]: Simplified to (sqrt (+ 1 (sqrt k))) 31.447 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (sqrt (/ (+ 1 (sqrt k)) 1))) (sqrt (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 31.447 * * * * [progress]: [ 10 / 209 ] simplifiying candidate # 31.447 * [simplify]: Simplifying (/ (cbrt (+ 1 (sqrt k))) (cbrt 1)) 31.447 * * [simplify]: iters left: 6 (7 enodes) 31.451 * * [simplify]: iters left: 5 (24 enodes) 31.458 * * [simplify]: iters left: 4 (26 enodes) 31.464 * * [simplify]: iters left: 3 (28 enodes) 31.467 * * [simplify]: Extracting #0: cost 1 inf + 0 31.467 * * [simplify]: Extracting #1: cost 4 inf + 0 31.467 * * [simplify]: Extracting #2: cost 5 inf + 1 31.467 * * [simplify]: Extracting #3: cost 7 inf + 1 31.470 * * [simplify]: Extracting #4: cost 0 inf + 572 31.470 * [simplify]: Simplified to (cbrt (+ 1 (sqrt k))) 31.470 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (* (cbrt (+ 1 (sqrt k))) (cbrt (+ 1 (sqrt k)))) (* (cbrt 1) (cbrt 1)))) (cbrt (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 31.470 * * * * [progress]: [ 11 / 209 ] simplifiying candidate # 31.470 * [simplify]: Simplifying (/ (cbrt (+ 1 (sqrt k))) (sqrt 1)) 31.471 * * [simplify]: iters left: 6 (7 enodes) 31.473 * * [simplify]: iters left: 5 (24 enodes) 31.477 * * [simplify]: iters left: 4 (26 enodes) 31.481 * * [simplify]: iters left: 3 (28 enodes) 31.484 * * [simplify]: Extracting #0: cost 1 inf + 0 31.484 * * [simplify]: Extracting #1: cost 4 inf + 0 31.484 * * [simplify]: Extracting #2: cost 5 inf + 1 31.484 * * [simplify]: Extracting #3: cost 7 inf + 1 31.484 * * [simplify]: Extracting #4: cost 0 inf + 572 31.484 * [simplify]: Simplified to (cbrt (+ 1 (sqrt k))) 31.484 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (* (cbrt (+ 1 (sqrt k))) (cbrt (+ 1 (sqrt k)))) (sqrt 1))) (cbrt (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 31.485 * * * * [progress]: [ 12 / 209 ] simplifiying candidate # 31.485 * [simplify]: Simplifying (/ (cbrt (+ 1 (sqrt k))) 1) 31.485 * * [simplify]: iters left: 6 (6 enodes) 31.486 * * [simplify]: iters left: 5 (19 enodes) 31.489 * * [simplify]: iters left: 4 (21 enodes) 31.492 * * [simplify]: Extracting #0: cost 1 inf + 0 31.492 * * [simplify]: Extracting #1: cost 4 inf + 0 31.492 * * [simplify]: Extracting #2: cost 5 inf + 1 31.492 * * [simplify]: Extracting #3: cost 7 inf + 1 31.492 * * [simplify]: Extracting #4: cost 0 inf + 572 31.492 * [simplify]: Simplified to (cbrt (+ 1 (sqrt k))) 31.492 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (* (cbrt (+ 1 (sqrt k))) (cbrt (+ 1 (sqrt k)))) 1)) (cbrt (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 31.493 * * * * [progress]: [ 13 / 209 ] simplifiying candidate # 31.493 * [simplify]: Simplifying (/ (sqrt (+ 1 (sqrt k))) (cbrt 1)) 31.493 * * [simplify]: iters left: 6 (7 enodes) 31.495 * * [simplify]: iters left: 5 (24 enodes) 31.499 * * [simplify]: iters left: 4 (26 enodes) 31.504 * * [simplify]: iters left: 3 (28 enodes) 31.510 * * [simplify]: Extracting #0: cost 1 inf + 0 31.510 * * [simplify]: Extracting #1: cost 4 inf + 0 31.510 * * [simplify]: Extracting #2: cost 5 inf + 1 31.510 * * [simplify]: Extracting #3: cost 7 inf + 1 31.511 * * [simplify]: Extracting #4: cost 0 inf + 492 31.511 * [simplify]: Simplified to (sqrt (+ 1 (sqrt k))) 31.511 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (sqrt (+ 1 (sqrt k))) (* (cbrt 1) (cbrt 1)))) (sqrt (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 31.511 * * * * [progress]: [ 14 / 209 ] simplifiying candidate # 31.511 * [simplify]: Simplifying (/ (sqrt (+ 1 (sqrt k))) (sqrt 1)) 31.512 * * [simplify]: iters left: 6 (7 enodes) 31.516 * * [simplify]: iters left: 5 (24 enodes) 31.522 * * [simplify]: iters left: 4 (26 enodes) 31.530 * * [simplify]: iters left: 3 (28 enodes) 31.537 * * [simplify]: Extracting #0: cost 1 inf + 0 31.537 * * [simplify]: Extracting #1: cost 4 inf + 0 31.537 * * [simplify]: Extracting #2: cost 5 inf + 1 31.537 * * [simplify]: Extracting #3: cost 7 inf + 1 31.537 * * [simplify]: Extracting #4: cost 0 inf + 492 31.537 * [simplify]: Simplified to (sqrt (+ 1 (sqrt k))) 31.537 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (sqrt (+ 1 (sqrt k))) (sqrt 1))) (sqrt (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 31.537 * * * * [progress]: [ 15 / 209 ] simplifiying candidate # 31.538 * [simplify]: Simplifying (/ (sqrt (+ 1 (sqrt k))) 1) 31.538 * * [simplify]: iters left: 6 (6 enodes) 31.541 * * [simplify]: iters left: 5 (19 enodes) 31.546 * * [simplify]: iters left: 4 (21 enodes) 31.552 * * [simplify]: Extracting #0: cost 1 inf + 0 31.552 * * [simplify]: Extracting #1: cost 4 inf + 0 31.552 * * [simplify]: Extracting #2: cost 5 inf + 1 31.552 * * [simplify]: Extracting #3: cost 7 inf + 1 31.552 * * [simplify]: Extracting #4: cost 0 inf + 492 31.553 * [simplify]: Simplified to (sqrt (+ 1 (sqrt k))) 31.553 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (sqrt (+ 1 (sqrt k))) 1)) (sqrt (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 31.553 * * * * [progress]: [ 16 / 209 ] simplifiying candidate # 31.553 * [simplify]: Simplifying (/ (+ 1 (sqrt k)) (cbrt 1)) 31.553 * * [simplify]: iters left: 5 (6 enodes) 31.558 * * [simplify]: iters left: 4 (21 enodes) 31.564 * * [simplify]: iters left: 3 (23 enodes) 31.570 * * [simplify]: iters left: 2 (25 enodes) 31.576 * * [simplify]: Extracting #0: cost 1 inf + 0 31.576 * * [simplify]: Extracting #1: cost 4 inf + 0 31.576 * * [simplify]: Extracting #2: cost 5 inf + 1 31.576 * * [simplify]: Extracting #3: cost 4 inf + 2 31.576 * * [simplify]: Extracting #4: cost 1 inf + 166 31.576 * * [simplify]: Extracting #5: cost 0 inf + 248 31.576 * [simplify]: Simplified to (+ 1 (sqrt k)) 31.576 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 1) (cbrt 1)))) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 31.577 * * * * [progress]: [ 17 / 209 ] simplifiying candidate # 31.577 * [simplify]: Simplifying (/ (+ 1 (sqrt k)) (sqrt 1)) 31.577 * * [simplify]: iters left: 5 (6 enodes) 31.582 * * [simplify]: iters left: 4 (21 enodes) 31.588 * * [simplify]: iters left: 3 (23 enodes) 31.594 * * [simplify]: iters left: 2 (25 enodes) 31.605 * * [simplify]: Extracting #0: cost 1 inf + 0 31.605 * * [simplify]: Extracting #1: cost 4 inf + 0 31.605 * * [simplify]: Extracting #2: cost 5 inf + 1 31.605 * * [simplify]: Extracting #3: cost 4 inf + 2 31.605 * * [simplify]: Extracting #4: cost 1 inf + 166 31.605 * * [simplify]: Extracting #5: cost 0 inf + 248 31.605 * [simplify]: Simplified to (+ 1 (sqrt k)) 31.605 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 1))) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 31.606 * * * * [progress]: [ 18 / 209 ] simplifiying candidate # 31.606 * [simplify]: Simplifying (/ (+ 1 (sqrt k)) 1) 31.606 * * [simplify]: iters left: 5 (5 enodes) 31.609 * * [simplify]: iters left: 4 (16 enodes) 31.612 * * [simplify]: iters left: 3 (18 enodes) 31.614 * * [simplify]: Extracting #0: cost 1 inf + 0 31.614 * * [simplify]: Extracting #1: cost 4 inf + 0 31.614 * * [simplify]: Extracting #2: cost 5 inf + 1 31.614 * * [simplify]: Extracting #3: cost 1 inf + 166 31.614 * * [simplify]: Extracting #4: cost 0 inf + 248 31.614 * [simplify]: Simplified to (+ 1 (sqrt k)) 31.615 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ 1 1)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 31.615 * * * * [progress]: [ 19 / 209 ] simplifiying candidate # 31.615 * [simplify]: Simplifying (/ (+ (sqrt 1) (sqrt k)) (cbrt 1)) 31.615 * * [simplify]: iters left: 5 (7 enodes) 31.618 * * [simplify]: iters left: 4 (24 enodes) 31.621 * * [simplify]: iters left: 3 (26 enodes) 31.625 * * [simplify]: iters left: 2 (28 enodes) 31.628 * * [simplify]: Extracting #0: cost 1 inf + 0 31.628 * * [simplify]: Extracting #1: cost 4 inf + 0 31.628 * * [simplify]: Extracting #2: cost 5 inf + 1 31.628 * * [simplify]: Extracting #3: cost 4 inf + 2 31.628 * * [simplify]: Extracting #4: cost 1 inf + 166 31.628 * * [simplify]: Extracting #5: cost 0 inf + 248 31.628 * [simplify]: Simplified to (+ (sqrt k) 1) 31.628 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (sqrt 1) (* (cbrt 1) (cbrt 1)))) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 31.628 * * * * [progress]: [ 20 / 209 ] simplifiying candidate # 31.628 * [simplify]: Simplifying (/ (+ (sqrt 1) (sqrt k)) (sqrt 1)) 31.628 * * [simplify]: iters left: 5 (6 enodes) 31.630 * * [simplify]: iters left: 4 (21 enodes) 31.633 * * [simplify]: iters left: 3 (23 enodes) 31.637 * * [simplify]: iters left: 2 (25 enodes) 31.640 * * [simplify]: Extracting #0: cost 1 inf + 0 31.640 * * [simplify]: Extracting #1: cost 4 inf + 0 31.640 * * [simplify]: Extracting #2: cost 5 inf + 1 31.640 * * [simplify]: Extracting #3: cost 1 inf + 166 31.640 * * [simplify]: Extracting #4: cost 0 inf + 248 31.640 * [simplify]: Simplified to (+ (sqrt k) 1) 31.640 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (sqrt 1) (sqrt 1))) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 31.640 * * * * [progress]: [ 21 / 209 ] simplifiying candidate # 31.640 * [simplify]: Simplifying (/ (+ (sqrt 1) (sqrt k)) 1) 31.640 * * [simplify]: iters left: 5 (6 enodes) 31.643 * * [simplify]: iters left: 4 (19 enodes) 31.648 * * [simplify]: iters left: 3 (21 enodes) 31.653 * * [simplify]: Extracting #0: cost 1 inf + 0 31.653 * * [simplify]: Extracting #1: cost 4 inf + 0 31.653 * * [simplify]: Extracting #2: cost 5 inf + 1 31.653 * * [simplify]: Extracting #3: cost 0 inf + 248 31.653 * [simplify]: Simplified to (+ (sqrt k) 1) 31.653 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (sqrt 1) 1)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 31.653 * * * * [progress]: [ 22 / 209 ] simplifiying candidate # 31.654 * [simplify]: Simplifying (/ (+ 1 (sqrt k)) (cbrt 1)) 31.654 * * [simplify]: iters left: 5 (6 enodes) 31.658 * * [simplify]: iters left: 4 (21 enodes) 31.665 * * [simplify]: iters left: 3 (23 enodes) 31.671 * * [simplify]: iters left: 2 (25 enodes) 31.676 * * [simplify]: Extracting #0: cost 1 inf + 0 31.676 * * [simplify]: Extracting #1: cost 4 inf + 0 31.676 * * [simplify]: Extracting #2: cost 5 inf + 1 31.676 * * [simplify]: Extracting #3: cost 4 inf + 2 31.676 * * [simplify]: Extracting #4: cost 1 inf + 166 31.677 * * [simplify]: Extracting #5: cost 0 inf + 248 31.677 * [simplify]: Simplified to (+ 1 (sqrt k)) 31.677 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 1) (cbrt 1)))) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 31.677 * * * * [progress]: [ 23 / 209 ] simplifiying candidate # 31.677 * [simplify]: Simplifying (/ (+ 1 (sqrt k)) (sqrt 1)) 31.677 * * [simplify]: iters left: 5 (6 enodes) 31.682 * * [simplify]: iters left: 4 (21 enodes) 31.688 * * [simplify]: iters left: 3 (23 enodes) 31.696 * * [simplify]: iters left: 2 (25 enodes) 31.702 * * [simplify]: Extracting #0: cost 1 inf + 0 31.702 * * [simplify]: Extracting #1: cost 4 inf + 0 31.702 * * [simplify]: Extracting #2: cost 5 inf + 1 31.702 * * [simplify]: Extracting #3: cost 4 inf + 2 31.702 * * [simplify]: Extracting #4: cost 1 inf + 166 31.702 * * [simplify]: Extracting #5: cost 0 inf + 248 31.702 * [simplify]: Simplified to (+ 1 (sqrt k)) 31.702 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 1))) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 31.703 * * * * [progress]: [ 24 / 209 ] simplifiying candidate # 31.703 * [simplify]: Simplifying (/ (+ 1 (sqrt k)) 1) 31.703 * * [simplify]: iters left: 5 (5 enodes) 31.705 * * [simplify]: iters left: 4 (16 enodes) 31.710 * * [simplify]: iters left: 3 (18 enodes) 31.716 * * [simplify]: Extracting #0: cost 1 inf + 0 31.716 * * [simplify]: Extracting #1: cost 4 inf + 0 31.716 * * [simplify]: Extracting #2: cost 5 inf + 1 31.716 * * [simplify]: Extracting #3: cost 1 inf + 166 31.716 * * [simplify]: Extracting #4: cost 0 inf + 248 31.716 * [simplify]: Simplified to (+ 1 (sqrt k)) 31.716 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ 1 1)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 31.717 * * * * [progress]: [ 25 / 209 ] simplifiying candidate # 31.717 * [simplify]: Simplifying (/ (+ 1 (sqrt k)) 1) 31.717 * * [simplify]: iters left: 5 (5 enodes) 31.720 * * [simplify]: iters left: 4 (16 enodes) 31.723 * * [simplify]: iters left: 3 (18 enodes) 31.729 * * [simplify]: Extracting #0: cost 1 inf + 0 31.729 * * [simplify]: Extracting #1: cost 4 inf + 0 31.729 * * [simplify]: Extracting #2: cost 5 inf + 1 31.729 * * [simplify]: Extracting #3: cost 1 inf + 166 31.729 * * [simplify]: Extracting #4: cost 0 inf + 248 31.729 * [simplify]: Simplified to (+ 1 (sqrt k)) 31.729 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) 1) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 31.729 * * * * [progress]: [ 26 / 209 ] simplifiying candidate # 31.729 * [simplify]: Simplifying (/ 1 1) 31.729 * * [simplify]: iters left: 2 (2 enodes) 31.730 * * [simplify]: iters left: 1 (6 enodes) 31.731 * * [simplify]: Extracting #0: cost 1 inf + 0 31.732 * * [simplify]: Extracting #1: cost 0 inf + 1 31.732 * [simplify]: Simplified to 1 31.732 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) 1) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 31.732 * * * * [progress]: [ 27 / 209 ] simplifiying candidate # 31.732 * [simplify]: Simplifying (pow n (/ (+ 1 (sqrt k)) 1)) 31.732 * * [simplify]: iters left: 6 (7 enodes) 31.734 * * [simplify]: iters left: 5 (26 enodes) 31.738 * * [simplify]: iters left: 4 (39 enodes) 31.745 * * [simplify]: iters left: 3 (65 enodes) 31.760 * * [simplify]: iters left: 2 (127 enodes) 31.792 * * [simplify]: iters left: 1 (256 enodes) 31.902 * * [simplify]: Extracting #0: cost 1 inf + 0 31.903 * * [simplify]: Extracting #1: cost 26 inf + 0 31.903 * * [simplify]: Extracting #2: cost 88 inf + 2 31.904 * * [simplify]: Extracting #3: cost 119 inf + 7 31.905 * * [simplify]: Extracting #4: cost 116 inf + 135 31.906 * * [simplify]: Extracting #5: cost 97 inf + 2803 31.913 * * [simplify]: Extracting #6: cost 40 inf + 25495 31.930 * * [simplify]: Extracting #7: cost 11 inf + 43817 31.943 * * [simplify]: Extracting #8: cost 0 inf + 52114 31.957 * [simplify]: Simplified to (pow n (+ 1 (sqrt k))) 31.957 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* (pow n (+ 1 (sqrt k))) (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 31.957 * * * * [progress]: [ 28 / 209 ] simplifiying candidate # 31.958 * * * * [progress]: [ 29 / 209 ] simplifiying candidate # 31.958 * * * * [progress]: [ 30 / 209 ] simplifiying candidate # 31.958 * * * * [progress]: [ 31 / 209 ] simplifiying candidate # 31.958 * * * * [progress]: [ 32 / 209 ] simplifiying candidate # 31.958 * * * * [progress]: [ 33 / 209 ] simplifiying candidate # 31.958 * * * * [progress]: [ 34 / 209 ] simplifiying candidate # 31.958 * * * * [progress]: [ 35 / 209 ] simplifiying candidate # 31.958 * * * * [progress]: [ 36 / 209 ] simplifiying candidate #real (real->posit16 (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2)) (sqrt k)))> 31.958 * * * * [progress]: [ 37 / 209 ] simplifiying candidate # 31.959 * [simplify]: Simplifying (* (* (+ (log n) (+ (log 2) (log PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) 31.959 * * [simplify]: iters left: 6 (17 enodes) 31.968 * * [simplify]: iters left: 5 (70 enodes) 31.991 * * [simplify]: iters left: 4 (136 enodes) 32.035 * * [simplify]: Extracting #0: cost 1 inf + 0 32.035 * * [simplify]: Extracting #1: cost 51 inf + 0 32.035 * * [simplify]: Extracting #2: cost 133 inf + 2 32.036 * * [simplify]: Extracting #3: cost 177 inf + 186 32.036 * * [simplify]: Extracting #4: cost 167 inf + 1031 32.038 * * [simplify]: Extracting #5: cost 114 inf + 10315 32.044 * * [simplify]: Extracting #6: cost 16 inf + 41953 32.052 * * [simplify]: Extracting #7: cost 0 inf + 47757 32.069 * [simplify]: Simplified to (* (+ (+ (log n) (+ (log 2) (log PI))) (* (+ (log n) (+ (log 2) (log PI))) (sqrt k))) (/ (- 1 (sqrt k)) 2)) 32.069 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (+ (+ (log n) (+ (log 2) (log PI))) (* (+ (log n) (+ (log 2) (log PI))) (sqrt k))) (/ (- 1 (sqrt k)) 2))) (sqrt k))) 32.069 * * * * [progress]: [ 38 / 209 ] simplifiying candidate # 32.069 * [simplify]: Simplifying (* (* (+ (log n) (log (* 2 PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) 32.070 * * [simplify]: iters left: 6 (16 enodes) 32.079 * * [simplify]: iters left: 5 (68 enodes) 32.102 * * [simplify]: iters left: 4 (129 enodes) 32.149 * * [simplify]: iters left: 3 (421 enodes) 32.442 * * [simplify]: Extracting #0: cost 1 inf + 0 32.442 * * [simplify]: Extracting #1: cost 67 inf + 0 32.443 * * [simplify]: Extracting #2: cost 263 inf + 2 32.445 * * [simplify]: Extracting #3: cost 375 inf + 74 32.451 * * [simplify]: Extracting #4: cost 228 inf + 37236 32.496 * * [simplify]: Extracting #5: cost 17 inf + 103523 32.524 * * [simplify]: Extracting #6: cost 0 inf + 111259 32.558 * * [simplify]: Extracting #7: cost 0 inf + 111252 32.606 * [simplify]: Simplified to (* (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) (/ (- 1 (sqrt k)) 2)) 32.606 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) (/ (- 1 (sqrt k)) 2))) (sqrt k))) 32.607 * * * * [progress]: [ 39 / 209 ] simplifiying candidate # 32.607 * [simplify]: Simplifying (* (* (log (* n (* 2 PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) 32.607 * * [simplify]: iters left: 6 (15 enodes) 32.616 * * [simplify]: iters left: 5 (67 enodes) 32.643 * * [simplify]: iters left: 4 (136 enodes) 32.705 * * [simplify]: iters left: 3 (395 enodes) 32.934 * * [simplify]: Extracting #0: cost 1 inf + 0 32.934 * * [simplify]: Extracting #1: cost 63 inf + 0 32.935 * * [simplify]: Extracting #2: cost 241 inf + 2 32.936 * * [simplify]: Extracting #3: cost 359 inf + 298 32.939 * * [simplify]: Extracting #4: cost 307 inf + 10117 32.948 * * [simplify]: Extracting #5: cost 143 inf + 53720 32.968 * * [simplify]: Extracting #6: cost 16 inf + 89644 32.993 * * [simplify]: Extracting #7: cost 0 inf + 95108 33.014 * [simplify]: Simplified to (* (* (log (* (* PI 2) n)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)) 33.014 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (* (log (* (* PI 2) n)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt k))) 33.015 * * * * [progress]: [ 40 / 209 ] simplifiying candidate # 33.015 * [simplify]: Simplifying (* (* (log (* n (* 2 PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) 33.015 * * [simplify]: iters left: 6 (15 enodes) 33.019 * * [simplify]: iters left: 5 (67 enodes) 33.040 * * [simplify]: iters left: 4 (136 enodes) 33.075 * * [simplify]: iters left: 3 (395 enodes) 33.322 * * [simplify]: Extracting #0: cost 1 inf + 0 33.322 * * [simplify]: Extracting #1: cost 63 inf + 0 33.323 * * [simplify]: Extracting #2: cost 241 inf + 2 33.326 * * [simplify]: Extracting #3: cost 359 inf + 298 33.332 * * [simplify]: Extracting #4: cost 307 inf + 10117 33.350 * * [simplify]: Extracting #5: cost 143 inf + 53720 33.387 * * [simplify]: Extracting #6: cost 16 inf + 89644 33.428 * * [simplify]: Extracting #7: cost 0 inf + 95108 33.458 * [simplify]: Simplified to (* (* (log (* (* PI 2) n)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)) 33.458 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (* (log (* (* PI 2) n)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt k))) 33.458 * * * * [progress]: [ 41 / 209 ] simplifiying candidate # 33.458 * [simplify]: Simplifying (* (log (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) 33.458 * * [simplify]: iters left: 6 (15 enodes) 33.463 * * [simplify]: iters left: 5 (64 enodes) 33.480 * * [simplify]: iters left: 4 (120 enodes) 33.512 * * [simplify]: iters left: 3 (293 enodes) 33.666 * * [simplify]: Extracting #0: cost 1 inf + 0 33.667 * * [simplify]: Extracting #1: cost 53 inf + 0 33.668 * * [simplify]: Extracting #2: cost 235 inf + 2 33.670 * * [simplify]: Extracting #3: cost 342 inf + 298 33.674 * * [simplify]: Extracting #4: cost 274 inf + 14535 33.685 * * [simplify]: Extracting #5: cost 61 inf + 69533 33.708 * * [simplify]: Extracting #6: cost 10 inf + 85983 33.742 * * [simplify]: Extracting #7: cost 0 inf + 90234 33.776 * * [simplify]: Extracting #8: cost 0 inf + 90025 33.805 * [simplify]: Simplified to (/ (- (+ (* (log (* (* PI 2) n)) (sqrt k)) (log (* (* PI 2) n))) (* (+ (* (log (* (* PI 2) n)) (sqrt k)) (log (* (* PI 2) n))) (sqrt k))) 2) 33.805 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- (+ (* (log (* (* PI 2) n)) (sqrt k)) (log (* (* PI 2) n))) (* (+ (* (log (* (* PI 2) n)) (sqrt k)) (log (* (* PI 2) n))) (sqrt k))) 2)) (sqrt k))) 33.805 * * * * [progress]: [ 42 / 209 ] simplifiying candidate # 33.805 * * * * [progress]: [ 43 / 209 ] simplifiying candidate # 33.805 * [simplify]: Simplifying (* n (* 2 PI)) 33.805 * * [simplify]: iters left: 4 (5 enodes) 33.807 * * [simplify]: iters left: 3 (19 enodes) 33.810 * * [simplify]: iters left: 2 (27 enodes) 33.814 * * [simplify]: iters left: 1 (32 enodes) 33.818 * * [simplify]: Extracting #0: cost 1 inf + 0 33.818 * * [simplify]: Extracting #1: cost 8 inf + 0 33.818 * * [simplify]: Extracting #2: cost 7 inf + 45 33.818 * * [simplify]: Extracting #3: cost 0 inf + 421 33.818 * [simplify]: Simplified to (* (* PI 2) n) 33.818 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* (/ (+ 1 (sqrt k)) 1) (/ (- 1 (sqrt k)) 2))) (sqrt k))) 33.818 * * * * [progress]: [ 44 / 209 ] simplifiying candidate # 33.819 * [simplify]: Simplifying (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (sqrt k) 2)) 33.819 * * [simplify]: iters left: 6 (13 enodes) 33.824 * * [simplify]: iters left: 5 (50 enodes) 33.838 * * [simplify]: iters left: 4 (81 enodes) 33.864 * * [simplify]: iters left: 3 (136 enodes) 33.911 * * [simplify]: iters left: 2 (257 enodes) 33.974 * * [simplify]: Extracting #0: cost 1 inf + 0 33.974 * * [simplify]: Extracting #1: cost 13 inf + 0 33.974 * * [simplify]: Extracting #2: cost 63 inf + 1 33.975 * * [simplify]: Extracting #3: cost 125 inf + 5 33.975 * * [simplify]: Extracting #4: cost 134 inf + 507 33.978 * * [simplify]: Extracting #5: cost 59 inf + 22010 33.989 * * [simplify]: Extracting #6: cost 3 inf + 53599 34.005 * * [simplify]: Extracting #7: cost 0 inf + 56180 34.022 * [simplify]: Simplified to (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (sqrt k) 2)) 34.022 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ 1 2)) (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (sqrt k) 2))) (sqrt k))) 34.022 * * * * [progress]: [ 45 / 209 ] simplifiying candidate # 34.022 * [simplify]: Simplifying (cbrt (/ (- 1 (sqrt k)) 2)) 34.022 * * [simplify]: iters left: 6 (7 enodes) 34.027 * * [simplify]: iters left: 5 (29 enodes) 34.037 * * [simplify]: iters left: 4 (38 enodes) 34.048 * * [simplify]: Extracting #0: cost 1 inf + 0 34.048 * * [simplify]: Extracting #1: cost 3 inf + 0 34.048 * * [simplify]: Extracting #2: cost 8 inf + 0 34.048 * * [simplify]: Extracting #3: cost 11 inf + 2 34.048 * * [simplify]: Extracting #4: cost 13 inf + 3 34.048 * * [simplify]: Extracting #5: cost 12 inf + 4 34.049 * * [simplify]: Extracting #6: cost 3 inf + 740 34.049 * * [simplify]: Extracting #7: cost 0 inf + 1228 34.049 * [simplify]: Simplified to (cbrt (- 1/2 (/ (sqrt k) 2))) 34.049 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (* (cbrt (/ (- 1 (sqrt k)) 2)) (cbrt (/ (- 1 (sqrt k)) 2)))) (cbrt (- 1/2 (/ (sqrt k) 2)))) (sqrt k))) 34.050 * * * * [progress]: [ 46 / 209 ] simplifiying candidate # 34.050 * [simplify]: Simplifying (sqrt (/ (- 1 (sqrt k)) 2)) 34.050 * * [simplify]: iters left: 6 (7 enodes) 34.054 * * [simplify]: iters left: 5 (29 enodes) 34.064 * * [simplify]: iters left: 4 (38 enodes) 34.076 * * [simplify]: Extracting #0: cost 1 inf + 0 34.076 * * [simplify]: Extracting #1: cost 3 inf + 0 34.076 * * [simplify]: Extracting #2: cost 8 inf + 0 34.076 * * [simplify]: Extracting #3: cost 11 inf + 2 34.076 * * [simplify]: Extracting #4: cost 13 inf + 3 34.076 * * [simplify]: Extracting #5: cost 12 inf + 4 34.076 * * [simplify]: Extracting #6: cost 3 inf + 740 34.076 * * [simplify]: Extracting #7: cost 0 inf + 1148 34.077 * [simplify]: Simplified to (sqrt (- 1/2 (/ (sqrt k) 2))) 34.077 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (sqrt (/ (- 1 (sqrt k)) 2))) (sqrt (- 1/2 (/ (sqrt k) 2)))) (sqrt k))) 34.077 * * * * [progress]: [ 47 / 209 ] simplifiying candidate # 34.077 * [simplify]: Simplifying (/ (cbrt (- 1 (sqrt k))) (cbrt 2)) 34.077 * * [simplify]: iters left: 6 (8 enodes) 34.079 * * [simplify]: iters left: 5 (28 enodes) 34.084 * * [simplify]: iters left: 4 (33 enodes) 34.090 * * [simplify]: Extracting #0: cost 1 inf + 0 34.090 * * [simplify]: Extracting #1: cost 4 inf + 0 34.090 * * [simplify]: Extracting #2: cost 8 inf + 0 34.090 * * [simplify]: Extracting #3: cost 9 inf + 163 34.090 * * [simplify]: Extracting #4: cost 11 inf + 164 34.090 * * [simplify]: Extracting #5: cost 10 inf + 165 34.090 * * [simplify]: Extracting #6: cost 5 inf + 491 34.090 * * [simplify]: Extracting #7: cost 0 inf + 1463 34.091 * [simplify]: Simplified to (/ (cbrt (- 1 (sqrt k))) (cbrt 2)) 34.091 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (* (cbrt (- 1 (sqrt k))) (cbrt (- 1 (sqrt k)))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 (sqrt k))) (cbrt 2))) (sqrt k))) 34.091 * * * * [progress]: [ 48 / 209 ] simplifiying candidate # 34.091 * [simplify]: Simplifying (/ (cbrt (- 1 (sqrt k))) (sqrt 2)) 34.091 * * [simplify]: iters left: 6 (8 enodes) 34.093 * * [simplify]: iters left: 5 (28 enodes) 34.098 * * [simplify]: iters left: 4 (33 enodes) 34.103 * * [simplify]: Extracting #0: cost 1 inf + 0 34.103 * * [simplify]: Extracting #1: cost 4 inf + 0 34.103 * * [simplify]: Extracting #2: cost 8 inf + 0 34.103 * * [simplify]: Extracting #3: cost 9 inf + 83 34.103 * * [simplify]: Extracting #4: cost 11 inf + 84 34.103 * * [simplify]: Extracting #5: cost 10 inf + 85 34.103 * * [simplify]: Extracting #6: cost 5 inf + 411 34.103 * * [simplify]: Extracting #7: cost 0 inf + 1303 34.104 * [simplify]: Simplified to (/ (cbrt (- 1 (sqrt k))) (sqrt 2)) 34.104 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (* (cbrt (- 1 (sqrt k))) (cbrt (- 1 (sqrt k)))) (sqrt 2))) (/ (cbrt (- 1 (sqrt k))) (sqrt 2))) (sqrt k))) 34.104 * * * * [progress]: [ 49 / 209 ] simplifiying candidate # 34.104 * [simplify]: Simplifying (/ (cbrt (- 1 (sqrt k))) 2) 34.104 * * [simplify]: iters left: 6 (7 enodes) 34.106 * * [simplify]: iters left: 5 (25 enodes) 34.110 * * [simplify]: iters left: 4 (30 enodes) 34.115 * * [simplify]: Extracting #0: cost 1 inf + 0 34.115 * * [simplify]: Extracting #1: cost 4 inf + 0 34.115 * * [simplify]: Extracting #2: cost 5 inf + 1 34.115 * * [simplify]: Extracting #3: cost 9 inf + 1 34.115 * * [simplify]: Extracting #4: cost 11 inf + 2 34.115 * * [simplify]: Extracting #5: cost 10 inf + 3 34.115 * * [simplify]: Extracting #6: cost 5 inf + 330 34.115 * * [simplify]: Extracting #7: cost 2 inf + 776 34.116 * * [simplify]: Extracting #8: cost 0 inf + 1141 34.116 * [simplify]: Simplified to (/ (cbrt (- 1 (sqrt k))) 2) 34.116 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (* (cbrt (- 1 (sqrt k))) (cbrt (- 1 (sqrt k)))) 1)) (/ (cbrt (- 1 (sqrt k))) 2)) (sqrt k))) 34.116 * * * * [progress]: [ 50 / 209 ] simplifiying candidate # 34.116 * [simplify]: Simplifying (/ (sqrt (- 1 (sqrt k))) (cbrt 2)) 34.116 * * [simplify]: iters left: 6 (8 enodes) 34.118 * * [simplify]: iters left: 5 (28 enodes) 34.123 * * [simplify]: iters left: 4 (33 enodes) 34.130 * * [simplify]: Extracting #0: cost 1 inf + 0 34.130 * * [simplify]: Extracting #1: cost 4 inf + 0 34.131 * * [simplify]: Extracting #2: cost 8 inf + 0 34.131 * * [simplify]: Extracting #3: cost 9 inf + 163 34.131 * * [simplify]: Extracting #4: cost 11 inf + 164 34.131 * * [simplify]: Extracting #5: cost 10 inf + 165 34.131 * * [simplify]: Extracting #6: cost 5 inf + 491 34.131 * * [simplify]: Extracting #7: cost 0 inf + 1303 34.132 * [simplify]: Simplified to (/ (sqrt (- 1 (sqrt k))) (cbrt 2)) 34.132 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (sqrt (- 1 (sqrt k))) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 (sqrt k))) (cbrt 2))) (sqrt k))) 34.132 * * * * [progress]: [ 51 / 209 ] simplifiying candidate # 34.132 * [simplify]: Simplifying (/ (sqrt (- 1 (sqrt k))) (sqrt 2)) 34.132 * * [simplify]: iters left: 6 (8 enodes) 34.137 * * [simplify]: iters left: 5 (28 enodes) 34.146 * * [simplify]: iters left: 4 (33 enodes) 34.155 * * [simplify]: Extracting #0: cost 1 inf + 0 34.155 * * [simplify]: Extracting #1: cost 4 inf + 0 34.155 * * [simplify]: Extracting #2: cost 8 inf + 0 34.155 * * [simplify]: Extracting #3: cost 9 inf + 83 34.155 * * [simplify]: Extracting #4: cost 11 inf + 84 34.155 * * [simplify]: Extracting #5: cost 10 inf + 85 34.155 * * [simplify]: Extracting #6: cost 5 inf + 411 34.155 * * [simplify]: Extracting #7: cost 0 inf + 1143 34.156 * [simplify]: Simplified to (/ (sqrt (- 1 (sqrt k))) (sqrt 2)) 34.156 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (sqrt (- 1 (sqrt k))) (sqrt 2))) (/ (sqrt (- 1 (sqrt k))) (sqrt 2))) (sqrt k))) 34.156 * * * * [progress]: [ 52 / 209 ] simplifiying candidate # 34.156 * [simplify]: Simplifying (/ (sqrt (- 1 (sqrt k))) 2) 34.156 * * [simplify]: iters left: 6 (7 enodes) 34.158 * * [simplify]: iters left: 5 (25 enodes) 34.162 * * [simplify]: iters left: 4 (30 enodes) 34.169 * * [simplify]: Extracting #0: cost 1 inf + 0 34.169 * * [simplify]: Extracting #1: cost 4 inf + 0 34.169 * * [simplify]: Extracting #2: cost 5 inf + 1 34.169 * * [simplify]: Extracting #3: cost 9 inf + 1 34.169 * * [simplify]: Extracting #4: cost 11 inf + 2 34.169 * * [simplify]: Extracting #5: cost 10 inf + 3 34.169 * * [simplify]: Extracting #6: cost 5 inf + 330 34.169 * * [simplify]: Extracting #7: cost 2 inf + 696 34.170 * * [simplify]: Extracting #8: cost 0 inf + 981 34.170 * [simplify]: Simplified to (/ (sqrt (- 1 (sqrt k))) 2) 34.170 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (sqrt (- 1 (sqrt k))) 1)) (/ (sqrt (- 1 (sqrt k))) 2)) (sqrt k))) 34.170 * * * * [progress]: [ 53 / 209 ] simplifiying candidate # 34.170 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 34.170 * * [simplify]: iters left: 5 (7 enodes) 34.172 * * [simplify]: iters left: 4 (28 enodes) 34.177 * * [simplify]: iters left: 3 (39 enodes) 34.184 * * [simplify]: iters left: 2 (43 enodes) 34.197 * * [simplify]: Extracting #0: cost 1 inf + 0 34.197 * * [simplify]: Extracting #1: cost 7 inf + 0 34.197 * * [simplify]: Extracting #2: cost 16 inf + 0 34.197 * * [simplify]: Extracting #3: cost 15 inf + 164 34.197 * * [simplify]: Extracting #4: cost 13 inf + 287 34.198 * * [simplify]: Extracting #5: cost 5 inf + 1180 34.198 * * [simplify]: Extracting #6: cost 0 inf + 1951 34.198 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 34.198 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (sqrt k))) 34.198 * * * * [progress]: [ 54 / 209 ] simplifiying candidate # 34.199 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 34.199 * * [simplify]: iters left: 5 (7 enodes) 34.201 * * [simplify]: iters left: 4 (28 enodes) 34.206 * * [simplify]: iters left: 3 (39 enodes) 34.212 * * [simplify]: iters left: 2 (43 enodes) 34.218 * * [simplify]: Extracting #0: cost 1 inf + 0 34.218 * * [simplify]: Extracting #1: cost 7 inf + 0 34.218 * * [simplify]: Extracting #2: cost 16 inf + 0 34.219 * * [simplify]: Extracting #3: cost 15 inf + 84 34.219 * * [simplify]: Extracting #4: cost 13 inf + 167 34.219 * * [simplify]: Extracting #5: cost 5 inf + 900 34.219 * * [simplify]: Extracting #6: cost 0 inf + 1551 34.219 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 34.219 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ 1 (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (sqrt k))) 34.220 * * * * [progress]: [ 55 / 209 ] simplifiying candidate # 34.220 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 34.220 * * [simplify]: iters left: 5 (6 enodes) 34.222 * * [simplify]: iters left: 4 (26 enodes) 34.226 * * [simplify]: iters left: 3 (35 enodes) 34.232 * * [simplify]: Extracting #0: cost 1 inf + 0 34.232 * * [simplify]: Extracting #1: cost 6 inf + 0 34.232 * * [simplify]: Extracting #2: cost 9 inf + 2 34.232 * * [simplify]: Extracting #3: cost 11 inf + 3 34.232 * * [simplify]: Extracting #4: cost 10 inf + 4 34.233 * * [simplify]: Extracting #5: cost 3 inf + 535 34.233 * * [simplify]: Extracting #6: cost 0 inf + 822 34.233 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 34.233 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ 1 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 34.233 * * * * [progress]: [ 56 / 209 ] simplifiying candidate # 34.234 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt (sqrt k))) (cbrt 2)) 34.234 * * [simplify]: iters left: 6 (9 enodes) 34.240 * * [simplify]: iters left: 5 (34 enodes) 34.246 * * [simplify]: iters left: 4 (48 enodes) 34.252 * * [simplify]: iters left: 3 (54 enodes) 34.260 * * [simplify]: iters left: 2 (55 enodes) 34.269 * * [simplify]: iters left: 1 (56 enodes) 34.279 * * [simplify]: Extracting #0: cost 1 inf + 0 34.279 * * [simplify]: Extracting #1: cost 8 inf + 0 34.279 * * [simplify]: Extracting #2: cost 18 inf + 0 34.279 * * [simplify]: Extracting #3: cost 17 inf + 164 34.279 * * [simplify]: Extracting #4: cost 16 inf + 530 34.280 * * [simplify]: Extracting #5: cost 12 inf + 735 34.280 * * [simplify]: Extracting #6: cost 4 inf + 1787 34.281 * * [simplify]: Extracting #7: cost 1 inf + 2515 34.282 * * [simplify]: Extracting #8: cost 0 inf + 2757 34.283 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) (cbrt 2)) 34.283 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ (sqrt 1) (sqrt (sqrt k))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt (sqrt k))) (cbrt 2))) (sqrt k))) 34.283 * * * * [progress]: [ 57 / 209 ] simplifiying candidate # 34.283 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt (sqrt k))) (sqrt 2)) 34.283 * * [simplify]: iters left: 6 (9 enodes) 34.289 * * [simplify]: iters left: 5 (34 enodes) 34.300 * * [simplify]: iters left: 4 (48 enodes) 34.314 * * [simplify]: iters left: 3 (54 enodes) 34.329 * * [simplify]: iters left: 2 (55 enodes) 34.343 * * [simplify]: iters left: 1 (56 enodes) 34.354 * * [simplify]: Extracting #0: cost 1 inf + 0 34.354 * * [simplify]: Extracting #1: cost 8 inf + 0 34.354 * * [simplify]: Extracting #2: cost 18 inf + 0 34.354 * * [simplify]: Extracting #3: cost 17 inf + 84 34.354 * * [simplify]: Extracting #4: cost 16 inf + 330 34.355 * * [simplify]: Extracting #5: cost 12 inf + 495 34.355 * * [simplify]: Extracting #6: cost 4 inf + 1467 34.355 * * [simplify]: Extracting #7: cost 1 inf + 2075 34.356 * * [simplify]: Extracting #8: cost 0 inf + 2277 34.356 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) (sqrt 2)) 34.356 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ (sqrt 1) (sqrt (sqrt k))) (sqrt 2))) (/ (- 1 (sqrt (sqrt k))) (sqrt 2))) (sqrt k))) 34.356 * * * * [progress]: [ 58 / 209 ] simplifiying candidate # 34.356 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt (sqrt k))) 2) 34.356 * * [simplify]: iters left: 6 (8 enodes) 34.359 * * [simplify]: iters left: 5 (31 enodes) 34.365 * * [simplify]: iters left: 4 (46 enodes) 34.371 * * [simplify]: iters left: 3 (49 enodes) 34.377 * * [simplify]: Extracting #0: cost 1 inf + 0 34.377 * * [simplify]: Extracting #1: cost 7 inf + 0 34.377 * * [simplify]: Extracting #2: cost 11 inf + 2 34.378 * * [simplify]: Extracting #3: cost 13 inf + 3 34.378 * * [simplify]: Extracting #4: cost 15 inf + 3 34.378 * * [simplify]: Extracting #5: cost 13 inf + 45 34.378 * * [simplify]: Extracting #6: cost 5 inf + 898 34.378 * * [simplify]: Extracting #7: cost 0 inf + 1628 34.378 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) 2) 34.378 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ (sqrt 1) (sqrt (sqrt k))) 1)) (/ (- 1 (sqrt (sqrt k))) 2)) (sqrt k))) 34.378 * * * * [progress]: [ 59 / 209 ] simplifiying candidate # 34.379 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt (sqrt k))) (cbrt 2)) 34.379 * * [simplify]: iters left: 6 (9 enodes) 34.385 * * [simplify]: iters left: 5 (34 enodes) 34.396 * * [simplify]: iters left: 4 (48 enodes) 34.409 * * [simplify]: iters left: 3 (54 enodes) 34.419 * * [simplify]: iters left: 2 (55 enodes) 34.427 * * [simplify]: iters left: 1 (56 enodes) 34.435 * * [simplify]: Extracting #0: cost 1 inf + 0 34.435 * * [simplify]: Extracting #1: cost 8 inf + 0 34.435 * * [simplify]: Extracting #2: cost 18 inf + 0 34.435 * * [simplify]: Extracting #3: cost 17 inf + 164 34.435 * * [simplify]: Extracting #4: cost 16 inf + 530 34.435 * * [simplify]: Extracting #5: cost 12 inf + 735 34.435 * * [simplify]: Extracting #6: cost 4 inf + 1787 34.436 * * [simplify]: Extracting #7: cost 1 inf + 2515 34.436 * * [simplify]: Extracting #8: cost 0 inf + 2757 34.437 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) (cbrt 2)) 34.437 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ (sqrt 1) (sqrt (sqrt k))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt (sqrt k))) (cbrt 2))) (sqrt k))) 34.437 * * * * [progress]: [ 60 / 209 ] simplifiying candidate # 34.437 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt (sqrt k))) (sqrt 2)) 34.437 * * [simplify]: iters left: 6 (9 enodes) 34.440 * * [simplify]: iters left: 5 (34 enodes) 34.446 * * [simplify]: iters left: 4 (48 enodes) 34.460 * * [simplify]: iters left: 3 (54 enodes) 34.474 * * [simplify]: iters left: 2 (55 enodes) 34.488 * * [simplify]: iters left: 1 (56 enodes) 34.503 * * [simplify]: Extracting #0: cost 1 inf + 0 34.503 * * [simplify]: Extracting #1: cost 8 inf + 0 34.503 * * [simplify]: Extracting #2: cost 18 inf + 0 34.503 * * [simplify]: Extracting #3: cost 17 inf + 84 34.503 * * [simplify]: Extracting #4: cost 16 inf + 330 34.504 * * [simplify]: Extracting #5: cost 12 inf + 495 34.504 * * [simplify]: Extracting #6: cost 4 inf + 1467 34.505 * * [simplify]: Extracting #7: cost 1 inf + 2075 34.506 * * [simplify]: Extracting #8: cost 0 inf + 2277 34.507 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) (sqrt 2)) 34.507 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ (sqrt 1) (sqrt (sqrt k))) (sqrt 2))) (/ (- 1 (sqrt (sqrt k))) (sqrt 2))) (sqrt k))) 34.507 * * * * [progress]: [ 61 / 209 ] simplifiying candidate # 34.511 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt (sqrt k))) 2) 34.511 * * [simplify]: iters left: 6 (8 enodes) 34.516 * * [simplify]: iters left: 5 (31 enodes) 34.527 * * [simplify]: iters left: 4 (46 enodes) 34.539 * * [simplify]: iters left: 3 (49 enodes) 34.552 * * [simplify]: Extracting #0: cost 1 inf + 0 34.552 * * [simplify]: Extracting #1: cost 7 inf + 0 34.552 * * [simplify]: Extracting #2: cost 11 inf + 2 34.552 * * [simplify]: Extracting #3: cost 13 inf + 3 34.552 * * [simplify]: Extracting #4: cost 15 inf + 3 34.552 * * [simplify]: Extracting #5: cost 13 inf + 45 34.553 * * [simplify]: Extracting #6: cost 5 inf + 898 34.553 * * [simplify]: Extracting #7: cost 0 inf + 1628 34.554 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) 2) 34.554 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ (sqrt 1) (sqrt (sqrt k))) 1)) (/ (- 1 (sqrt (sqrt k))) 2)) (sqrt k))) 34.554 * * * * [progress]: [ 62 / 209 ] simplifiying candidate # 34.554 * [simplify]: Simplifying (/ (- 1 (sqrt (sqrt k))) (cbrt 2)) 34.554 * * [simplify]: iters left: 6 (8 enodes) 34.559 * * [simplify]: iters left: 5 (31 enodes) 34.569 * * [simplify]: iters left: 4 (42 enodes) 34.583 * * [simplify]: iters left: 3 (46 enodes) 34.596 * * [simplify]: Extracting #0: cost 1 inf + 0 34.596 * * [simplify]: Extracting #1: cost 7 inf + 0 34.597 * * [simplify]: Extracting #2: cost 16 inf + 0 34.597 * * [simplify]: Extracting #3: cost 17 inf + 2 34.597 * * [simplify]: Extracting #4: cost 15 inf + 408 34.597 * * [simplify]: Extracting #5: cost 14 inf + 409 34.598 * * [simplify]: Extracting #6: cost 9 inf + 975 34.598 * * [simplify]: Extracting #7: cost 1 inf + 2270 34.599 * * [simplify]: Extracting #8: cost 0 inf + 2513 34.600 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) (cbrt 2)) 34.600 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ 1 (sqrt (sqrt k))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt (sqrt k))) (cbrt 2))) (sqrt k))) 34.600 * * * * [progress]: [ 63 / 209 ] simplifiying candidate # 34.600 * [simplify]: Simplifying (/ (- 1 (sqrt (sqrt k))) (sqrt 2)) 34.600 * * [simplify]: iters left: 6 (8 enodes) 34.605 * * [simplify]: iters left: 5 (31 enodes) 34.616 * * [simplify]: iters left: 4 (42 enodes) 34.628 * * [simplify]: iters left: 3 (46 enodes) 34.642 * * [simplify]: Extracting #0: cost 1 inf + 0 34.642 * * [simplify]: Extracting #1: cost 7 inf + 0 34.642 * * [simplify]: Extracting #2: cost 16 inf + 0 34.642 * * [simplify]: Extracting #3: cost 17 inf + 2 34.642 * * [simplify]: Extracting #4: cost 15 inf + 248 34.642 * * [simplify]: Extracting #5: cost 14 inf + 249 34.642 * * [simplify]: Extracting #6: cost 9 inf + 775 34.643 * * [simplify]: Extracting #7: cost 1 inf + 1910 34.644 * * [simplify]: Extracting #8: cost 0 inf + 2113 34.644 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) (sqrt 2)) 34.645 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ 1 (sqrt (sqrt k))) (sqrt 2))) (/ (- 1 (sqrt (sqrt k))) (sqrt 2))) (sqrt k))) 34.645 * * * * [progress]: [ 64 / 209 ] simplifiying candidate # 34.645 * [simplify]: Simplifying (/ (- 1 (sqrt (sqrt k))) 2) 34.645 * * [simplify]: iters left: 6 (7 enodes) 34.650 * * [simplify]: iters left: 5 (29 enodes) 34.659 * * [simplify]: iters left: 4 (38 enodes) 34.673 * * [simplify]: Extracting #0: cost 1 inf + 0 34.674 * * [simplify]: Extracting #1: cost 6 inf + 0 34.674 * * [simplify]: Extracting #2: cost 9 inf + 2 34.674 * * [simplify]: Extracting #3: cost 11 inf + 3 34.674 * * [simplify]: Extracting #4: cost 13 inf + 3 34.674 * * [simplify]: Extracting #5: cost 12 inf + 4 34.674 * * [simplify]: Extracting #6: cost 9 inf + 167 34.674 * * [simplify]: Extracting #7: cost 0 inf + 1304 34.675 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) 2) 34.675 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ 1 (sqrt (sqrt k))) 1)) (/ (- 1 (sqrt (sqrt k))) 2)) (sqrt k))) 34.675 * * * * [progress]: [ 65 / 209 ] simplifiying candidate # 34.675 * [simplify]: Simplifying (/ (- 1 (sqrt (sqrt k))) (cbrt 2)) 34.676 * * [simplify]: iters left: 6 (8 enodes) 34.680 * * [simplify]: iters left: 5 (31 enodes) 34.691 * * [simplify]: iters left: 4 (42 enodes) 34.703 * * [simplify]: iters left: 3 (46 enodes) 34.717 * * [simplify]: Extracting #0: cost 1 inf + 0 34.717 * * [simplify]: Extracting #1: cost 7 inf + 0 34.717 * * [simplify]: Extracting #2: cost 16 inf + 0 34.717 * * [simplify]: Extracting #3: cost 17 inf + 2 34.717 * * [simplify]: Extracting #4: cost 15 inf + 408 34.717 * * [simplify]: Extracting #5: cost 14 inf + 409 34.717 * * [simplify]: Extracting #6: cost 9 inf + 975 34.718 * * [simplify]: Extracting #7: cost 1 inf + 2270 34.719 * * [simplify]: Extracting #8: cost 0 inf + 2513 34.720 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) (cbrt 2)) 34.720 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ 1 (sqrt (sqrt k))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt (sqrt k))) (cbrt 2))) (sqrt k))) 34.720 * * * * [progress]: [ 66 / 209 ] simplifiying candidate # 34.720 * [simplify]: Simplifying (/ (- 1 (sqrt (sqrt k))) (sqrt 2)) 34.720 * * [simplify]: iters left: 6 (8 enodes) 34.725 * * [simplify]: iters left: 5 (31 enodes) 34.735 * * [simplify]: iters left: 4 (42 enodes) 34.748 * * [simplify]: iters left: 3 (46 enodes) 34.761 * * [simplify]: Extracting #0: cost 1 inf + 0 34.761 * * [simplify]: Extracting #1: cost 7 inf + 0 34.762 * * [simplify]: Extracting #2: cost 16 inf + 0 34.762 * * [simplify]: Extracting #3: cost 17 inf + 2 34.762 * * [simplify]: Extracting #4: cost 15 inf + 248 34.762 * * [simplify]: Extracting #5: cost 14 inf + 249 34.762 * * [simplify]: Extracting #6: cost 9 inf + 775 34.763 * * [simplify]: Extracting #7: cost 1 inf + 1910 34.764 * * [simplify]: Extracting #8: cost 0 inf + 2113 34.764 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) (sqrt 2)) 34.764 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ 1 (sqrt (sqrt k))) (sqrt 2))) (/ (- 1 (sqrt (sqrt k))) (sqrt 2))) (sqrt k))) 34.765 * * * * [progress]: [ 67 / 209 ] simplifiying candidate # 34.765 * [simplify]: Simplifying (/ (- 1 (sqrt (sqrt k))) 2) 34.765 * * [simplify]: iters left: 6 (7 enodes) 34.770 * * [simplify]: iters left: 5 (29 enodes) 34.779 * * [simplify]: iters left: 4 (38 enodes) 34.790 * * [simplify]: Extracting #0: cost 1 inf + 0 34.790 * * [simplify]: Extracting #1: cost 6 inf + 0 34.790 * * [simplify]: Extracting #2: cost 9 inf + 2 34.790 * * [simplify]: Extracting #3: cost 11 inf + 3 34.790 * * [simplify]: Extracting #4: cost 13 inf + 3 34.790 * * [simplify]: Extracting #5: cost 12 inf + 4 34.790 * * [simplify]: Extracting #6: cost 9 inf + 167 34.790 * * [simplify]: Extracting #7: cost 0 inf + 1304 34.791 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) 2) 34.791 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ 1 (sqrt (sqrt k))) 1)) (/ (- 1 (sqrt (sqrt k))) 2)) (sqrt k))) 34.791 * * * * [progress]: [ 68 / 209 ] simplifiying candidate # 34.791 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 34.792 * * [simplify]: iters left: 5 (8 enodes) 34.796 * * [simplify]: iters left: 4 (31 enodes) 34.807 * * [simplify]: iters left: 3 (45 enodes) 34.819 * * [simplify]: iters left: 2 (51 enodes) 34.829 * * [simplify]: iters left: 1 (52 enodes) 34.837 * * [simplify]: Extracting #0: cost 1 inf + 0 34.837 * * [simplify]: Extracting #1: cost 8 inf + 0 34.837 * * [simplify]: Extracting #2: cost 18 inf + 0 34.837 * * [simplify]: Extracting #3: cost 19 inf + 2 34.837 * * [simplify]: Extracting #4: cost 9 inf + 977 34.837 * * [simplify]: Extracting #5: cost 2 inf + 1790 34.838 * * [simplify]: Extracting #6: cost 0 inf + 2195 34.838 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 34.838 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (sqrt 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (sqrt k))) 34.838 * * * * [progress]: [ 69 / 209 ] simplifiying candidate # 34.838 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 34.838 * * [simplify]: iters left: 5 (8 enodes) 34.842 * * [simplify]: iters left: 4 (31 enodes) 34.847 * * [simplify]: iters left: 3 (45 enodes) 34.853 * * [simplify]: iters left: 2 (51 enodes) 34.862 * * [simplify]: iters left: 1 (52 enodes) 34.876 * * [simplify]: Extracting #0: cost 1 inf + 0 34.876 * * [simplify]: Extracting #1: cost 8 inf + 0 34.876 * * [simplify]: Extracting #2: cost 18 inf + 0 34.876 * * [simplify]: Extracting #3: cost 19 inf + 2 34.877 * * [simplify]: Extracting #4: cost 9 inf + 697 34.877 * * [simplify]: Extracting #5: cost 2 inf + 1390 34.878 * * [simplify]: Extracting #6: cost 0 inf + 1715 34.878 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 34.878 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (sqrt 1) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (sqrt k))) 34.878 * * * * [progress]: [ 70 / 209 ] simplifiying candidate # 34.879 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 34.879 * * [simplify]: iters left: 5 (7 enodes) 34.883 * * [simplify]: iters left: 4 (29 enodes) 34.892 * * [simplify]: iters left: 3 (43 enodes) 34.902 * * [simplify]: iters left: 2 (47 enodes) 34.913 * * [simplify]: Extracting #0: cost 1 inf + 0 34.914 * * [simplify]: Extracting #1: cost 7 inf + 0 34.914 * * [simplify]: Extracting #2: cost 11 inf + 2 34.914 * * [simplify]: Extracting #3: cost 13 inf + 3 34.914 * * [simplify]: Extracting #4: cost 11 inf + 45 34.914 * * [simplify]: Extracting #5: cost 0 inf + 1066 34.915 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 34.915 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (sqrt 1) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 34.915 * * * * [progress]: [ 71 / 209 ] simplifiying candidate # 34.915 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 34.915 * * [simplify]: iters left: 5 (7 enodes) 34.919 * * [simplify]: iters left: 4 (28 enodes) 34.928 * * [simplify]: iters left: 3 (39 enodes) 34.935 * * [simplify]: iters left: 2 (43 enodes) 34.945 * * [simplify]: Extracting #0: cost 1 inf + 0 34.945 * * [simplify]: Extracting #1: cost 7 inf + 0 34.945 * * [simplify]: Extracting #2: cost 16 inf + 0 34.945 * * [simplify]: Extracting #3: cost 15 inf + 164 34.945 * * [simplify]: Extracting #4: cost 13 inf + 287 34.945 * * [simplify]: Extracting #5: cost 5 inf + 1180 34.945 * * [simplify]: Extracting #6: cost 0 inf + 1951 34.946 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 34.946 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (sqrt k))) 34.946 * * * * [progress]: [ 72 / 209 ] simplifiying candidate # 34.946 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 34.946 * * [simplify]: iters left: 5 (7 enodes) 34.949 * * [simplify]: iters left: 4 (28 enodes) 34.953 * * [simplify]: iters left: 3 (39 enodes) 34.960 * * [simplify]: iters left: 2 (43 enodes) 34.972 * * [simplify]: Extracting #0: cost 1 inf + 0 34.972 * * [simplify]: Extracting #1: cost 7 inf + 0 34.972 * * [simplify]: Extracting #2: cost 16 inf + 0 34.972 * * [simplify]: Extracting #3: cost 15 inf + 84 34.972 * * [simplify]: Extracting #4: cost 13 inf + 167 34.972 * * [simplify]: Extracting #5: cost 5 inf + 900 34.973 * * [simplify]: Extracting #6: cost 0 inf + 1551 34.973 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 34.973 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ 1 (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (sqrt k))) 34.974 * * * * [progress]: [ 73 / 209 ] simplifiying candidate # 34.974 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 34.974 * * [simplify]: iters left: 5 (6 enodes) 34.978 * * [simplify]: iters left: 4 (26 enodes) 34.986 * * [simplify]: iters left: 3 (35 enodes) 34.994 * * [simplify]: Extracting #0: cost 1 inf + 0 34.994 * * [simplify]: Extracting #1: cost 6 inf + 0 34.994 * * [simplify]: Extracting #2: cost 9 inf + 2 34.994 * * [simplify]: Extracting #3: cost 11 inf + 3 34.994 * * [simplify]: Extracting #4: cost 10 inf + 4 34.994 * * [simplify]: Extracting #5: cost 3 inf + 535 34.994 * * [simplify]: Extracting #6: cost 0 inf + 822 34.994 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 34.994 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ 1 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 34.994 * * * * [progress]: [ 74 / 209 ] simplifiying candidate # 34.995 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 34.995 * * [simplify]: iters left: 5 (6 enodes) 34.997 * * [simplify]: iters left: 4 (26 enodes) 35.001 * * [simplify]: iters left: 3 (35 enodes) 35.006 * * [simplify]: Extracting #0: cost 1 inf + 0 35.006 * * [simplify]: Extracting #1: cost 6 inf + 0 35.006 * * [simplify]: Extracting #2: cost 9 inf + 2 35.007 * * [simplify]: Extracting #3: cost 11 inf + 3 35.007 * * [simplify]: Extracting #4: cost 10 inf + 4 35.007 * * [simplify]: Extracting #5: cost 3 inf + 535 35.007 * * [simplify]: Extracting #6: cost 0 inf + 822 35.007 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 35.007 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) 1) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 35.007 * * * * [progress]: [ 75 / 209 ] simplifiying candidate # 35.007 * [simplify]: Simplifying (/ 1 2) 35.007 * * [simplify]: iters left: 2 (3 enodes) 35.009 * * [simplify]: iters left: 1 (12 enodes) 35.011 * * [simplify]: Extracting #0: cost 1 inf + 0 35.011 * * [simplify]: Extracting #1: cost 0 inf + 1 35.011 * [simplify]: Simplified to 1/2 35.011 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (- 1 (sqrt k))) 1/2) (sqrt k))) 35.011 * * * * [progress]: [ 76 / 209 ] simplifiying candidate # 35.012 * [simplify]: Simplifying (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) 35.012 * * [simplify]: iters left: 6 (11 enodes) 35.015 * * [simplify]: iters left: 5 (46 enodes) 35.027 * * [simplify]: iters left: 4 (80 enodes) 35.049 * * [simplify]: iters left: 3 (135 enodes) 35.076 * * [simplify]: iters left: 2 (262 enodes) 35.139 * * [simplify]: Extracting #0: cost 1 inf + 0 35.139 * * [simplify]: Extracting #1: cost 14 inf + 0 35.140 * * [simplify]: Extracting #2: cost 66 inf + 1 35.140 * * [simplify]: Extracting #3: cost 127 inf + 6 35.141 * * [simplify]: Extracting #4: cost 147 inf + 11 35.142 * * [simplify]: Extracting #5: cost 134 inf + 1777 35.147 * * [simplify]: Extracting #6: cost 61 inf + 18363 35.156 * * [simplify]: Extracting #7: cost 19 inf + 39858 35.169 * * [simplify]: Extracting #8: cost 1 inf + 55694 35.183 * * [simplify]: Extracting #9: cost 0 inf + 56467 35.196 * [simplify]: Simplified to (pow (pow n (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) 35.196 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow (pow n (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt k))) 35.196 * * * * [progress]: [ 77 / 209 ] simplifiying candidate # 35.196 * [simplify]: Simplifying (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2)) 35.197 * * [simplify]: iters left: 6 (16 enodes) 35.205 * * [simplify]: iters left: 5 (65 enodes) 35.225 * * [simplify]: iters left: 4 (103 enodes) 35.258 * * [simplify]: iters left: 3 (168 enodes) 35.319 * * [simplify]: iters left: 2 (313 enodes) 35.413 * * [simplify]: Extracting #0: cost 1 inf + 0 35.413 * * [simplify]: Extracting #1: cost 13 inf + 0 35.414 * * [simplify]: Extracting #2: cost 57 inf + 1 35.414 * * [simplify]: Extracting #3: cost 91 inf + 6 35.415 * * [simplify]: Extracting #4: cost 108 inf + 10 35.415 * * [simplify]: Extracting #5: cost 145 inf + 52 35.418 * * [simplify]: Extracting #6: cost 119 inf + 5883 35.425 * * [simplify]: Extracting #7: cost 52 inf + 24618 35.440 * * [simplify]: Extracting #8: cost 11 inf + 59981 35.459 * * [simplify]: Extracting #9: cost 0 inf + 68869 35.469 * [simplify]: Simplified to (pow (* (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k))))) (/ (- 1 (sqrt k)) 2)) 35.469 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow (* (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k))))) (/ (- 1 (sqrt k)) 2)) (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) (sqrt k))) 35.469 * * * * [progress]: [ 78 / 209 ] simplifiying candidate # 35.469 * [simplify]: Simplifying (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) 35.469 * * [simplify]: iters left: 6 (15 enodes) 35.474 * * [simplify]: iters left: 5 (62 enodes) 35.484 * * [simplify]: iters left: 4 (101 enodes) 35.517 * * [simplify]: iters left: 3 (167 enodes) 35.547 * * [simplify]: iters left: 2 (315 enodes) 35.639 * * [simplify]: Extracting #0: cost 1 inf + 0 35.639 * * [simplify]: Extracting #1: cost 14 inf + 0 35.639 * * [simplify]: Extracting #2: cost 59 inf + 1 35.639 * * [simplify]: Extracting #3: cost 106 inf + 6 35.640 * * [simplify]: Extracting #4: cost 152 inf + 10 35.640 * * [simplify]: Extracting #5: cost 159 inf + 262 35.643 * * [simplify]: Extracting #6: cost 82 inf + 19132 35.651 * * [simplify]: Extracting #7: cost 9 inf + 56261 35.663 * * [simplify]: Extracting #8: cost 0 inf + 63185 35.682 * * [simplify]: Extracting #9: cost 0 inf + 62662 35.702 * * [simplify]: Extracting #10: cost 0 inf + 62532 35.721 * [simplify]: Simplified to (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) 35.721 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) (sqrt k))) 35.721 * * * * [progress]: [ 79 / 209 ] simplifiying candidate # 35.722 * [simplify]: Simplifying (pow 1 (/ (- 1 (sqrt k)) 2)) 35.722 * * [simplify]: iters left: 6 (7 enodes) 35.724 * * [simplify]: iters left: 5 (27 enodes) 35.729 * * [simplify]: iters left: 4 (36 enodes) 35.738 * * [simplify]: Extracting #0: cost 1 inf + 0 35.738 * * [simplify]: Extracting #1: cost 0 inf + 1 35.738 * [simplify]: Simplified to 1 35.738 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* 1 (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt k))) 35.739 * * * * [progress]: [ 80 / 209 ] simplifiying candidate # 35.739 * [simplify]: Simplifying (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) 35.739 * * [simplify]: iters left: 6 (15 enodes) 35.743 * * [simplify]: iters left: 5 (64 enodes) 35.754 * * [simplify]: iters left: 4 (107 enodes) 35.772 * * [simplify]: iters left: 3 (172 enodes) 35.802 * * [simplify]: iters left: 2 (308 enodes) 35.866 * * [simplify]: Extracting #0: cost 1 inf + 0 35.866 * * [simplify]: Extracting #1: cost 13 inf + 0 35.867 * * [simplify]: Extracting #2: cost 65 inf + 1 35.868 * * [simplify]: Extracting #3: cost 139 inf + 5 35.869 * * [simplify]: Extracting #4: cost 162 inf + 179 35.870 * * [simplify]: Extracting #5: cost 158 inf + 472 35.873 * * [simplify]: Extracting #6: cost 102 inf + 8559 35.883 * * [simplify]: Extracting #7: cost 44 inf + 34459 35.906 * * [simplify]: Extracting #8: cost 1 inf + 72965 35.926 * * [simplify]: Extracting #9: cost 0 inf + 71959 35.945 * * [simplify]: Extracting #10: cost 0 inf + 71828 35.965 * [simplify]: Simplified to (pow (pow (* (* PI 2) n) (* 1/2 (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) 35.965 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow (pow (* (* PI 2) n) (* 1/2 (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2))) (sqrt k))) 35.966 * * * * [progress]: [ 81 / 209 ] simplifiying candidate # 35.966 * * * * [progress]: [ 82 / 209 ] simplifiying candidate # 35.966 * * * * [progress]: [ 83 / 209 ] simplifiying candidate # 35.966 * * * * [progress]: [ 84 / 209 ] simplifiying candidate # 35.966 * * * * [progress]: [ 85 / 209 ] simplifiying candidate # 35.966 * * * * [progress]: [ 86 / 209 ] simplifiying candidate # 35.966 * * * * [progress]: [ 87 / 209 ] simplifiying candidate # 35.966 * * * * [progress]: [ 88 / 209 ] simplifiying candidate # 35.966 * * * * [progress]: [ 89 / 209 ] simplifiying candidate #real (real->posit16 (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) (sqrt k)))> 35.966 * * * * [progress]: [ 90 / 209 ] simplifiying candidate # 35.967 * [simplify]: Simplifying (* n (* 2 PI)) 35.967 * * [simplify]: iters left: 4 (5 enodes) 35.970 * * [simplify]: iters left: 3 (19 enodes) 35.976 * * [simplify]: iters left: 2 (27 enodes) 35.984 * * [simplify]: iters left: 1 (32 enodes) 35.991 * * [simplify]: Extracting #0: cost 1 inf + 0 35.991 * * [simplify]: Extracting #1: cost 8 inf + 0 35.992 * * [simplify]: Extracting #2: cost 7 inf + 45 35.992 * * [simplify]: Extracting #3: cost 0 inf + 421 35.992 * [simplify]: Simplified to (* (* PI 2) n) 35.992 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (/ (pow (pow (pow (* (* PI 2) n) 1) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 35.992 * * * * [progress]: [ 91 / 209 ] simplifiying candidate # 35.993 * [simplify]: Simplifying (* n (* 2 PI)) 35.993 * * [simplify]: iters left: 4 (5 enodes) 35.995 * * [simplify]: iters left: 3 (19 enodes) 36.001 * * [simplify]: iters left: 2 (27 enodes) 36.009 * * [simplify]: iters left: 1 (32 enodes) 36.017 * * [simplify]: Extracting #0: cost 1 inf + 0 36.017 * * [simplify]: Extracting #1: cost 8 inf + 0 36.017 * * [simplify]: Extracting #2: cost 7 inf + 45 36.018 * * [simplify]: Extracting #3: cost 0 inf + 421 36.018 * [simplify]: Simplified to (* (* PI 2) n) 36.018 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (/ (pow (pow (pow (* (* PI 2) n) 1) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 36.018 * * * * [progress]: [ 92 / 209 ] simplifiying candidate # 36.018 * * * * [progress]: [ 93 / 209 ] simplifiying candidate # 36.019 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI))) 36.019 * * [simplify]: iters left: 5 (8 enodes) 36.023 * * [simplify]: iters left: 4 (28 enodes) 36.032 * * [simplify]: iters left: 3 (36 enodes) 36.042 * * [simplify]: iters left: 2 (42 enodes) 36.053 * * [simplify]: Extracting #0: cost 1 inf + 0 36.053 * * [simplify]: Extracting #1: cost 8 inf + 0 36.053 * * [simplify]: Extracting #2: cost 17 inf + 0 36.054 * * [simplify]: Extracting #3: cost 12 inf + 145 36.054 * * [simplify]: Extracting #4: cost 5 inf + 1197 36.054 * * [simplify]: Extracting #5: cost 1 inf + 1925 36.055 * * [simplify]: Extracting #6: cost 0 inf + 2107 36.056 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI))) 36.056 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (/ (pow (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 36.056 * * * * [progress]: [ 94 / 209 ] simplifiying candidate # 36.056 * [simplify]: Simplifying (+ (log n) (log (* 2 PI))) 36.056 * * [simplify]: iters left: 5 (7 enodes) 36.060 * * [simplify]: iters left: 4 (26 enodes) 36.071 * * [simplify]: iters left: 3 (35 enodes) 36.076 * * [simplify]: iters left: 2 (44 enodes) 36.082 * * [simplify]: Extracting #0: cost 1 inf + 0 36.082 * * [simplify]: Extracting #1: cost 8 inf + 0 36.082 * * [simplify]: Extracting #2: cost 18 inf + 0 36.082 * * [simplify]: Extracting #3: cost 15 inf + 74 36.082 * * [simplify]: Extracting #4: cost 8 inf + 554 36.082 * * [simplify]: Extracting #5: cost 0 inf + 1911 36.083 * [simplify]: Simplified to (+ (log n) (log (* 2 PI))) 36.083 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (/ (pow (pow (exp (+ (log n) (log (* 2 PI)))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 36.083 * * * * [progress]: [ 95 / 209 ] simplifiying candidate # 36.083 * * * * [progress]: [ 96 / 209 ] simplifiying candidate # 36.083 * * * * [progress]: [ 97 / 209 ] simplifiying candidate # 36.083 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI))) 36.083 * * [simplify]: iters left: 6 (11 enodes) 36.087 * * [simplify]: iters left: 5 (48 enodes) 36.096 * * [simplify]: iters left: 4 (121 enodes) 36.133 * * [simplify]: iters left: 3 (348 enodes) 36.358 * * [simplify]: Extracting #0: cost 1 inf + 0 36.358 * * [simplify]: Extracting #1: cost 67 inf + 0 36.360 * * [simplify]: Extracting #2: cost 165 inf + 786 36.365 * * [simplify]: Extracting #3: cost 85 inf + 10177 36.377 * * [simplify]: Extracting #4: cost 9 inf + 26399 36.390 * * [simplify]: Extracting #5: cost 0 inf + 28546 36.403 * * [simplify]: Extracting #6: cost 0 inf + 28506 36.416 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI)) 36.416 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (/ (pow (pow (cbrt (* (* (* (* n PI) (* n PI)) 8) (* n PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 36.416 * * * * [progress]: [ 98 / 209 ] simplifiying candidate # 36.416 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI))) 36.417 * * [simplify]: iters left: 6 (9 enodes) 36.420 * * [simplify]: iters left: 5 (45 enodes) 36.433 * * [simplify]: iters left: 4 (117 enodes) 36.479 * * [simplify]: iters left: 3 (374 enodes) 36.814 * * [simplify]: Extracting #0: cost 1 inf + 0 36.814 * * [simplify]: Extracting #1: cost 77 inf + 0 36.816 * * [simplify]: Extracting #2: cost 184 inf + 984 36.823 * * [simplify]: Extracting #3: cost 106 inf + 11690 36.840 * * [simplify]: Extracting #4: cost 6 inf + 30376 36.858 * * [simplify]: Extracting #5: cost 0 inf + 31644 36.876 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n)) 36.876 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (/ (pow (pow (cbrt (* (* (* (* PI n) (* PI n)) 8) (* PI n))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 36.876 * * * * [progress]: [ 99 / 209 ] simplifiying candidate # 36.876 * * * * [progress]: [ 100 / 209 ] simplifiying candidate # 36.876 * * * * [progress]: [ 101 / 209 ] simplifiying candidate # 36.876 * * * * [progress]: [ 102 / 209 ] simplifiying candidate # 36.882 * * * * [progress]: [ 103 / 209 ] simplifiying candidate # 36.882 * * * * [progress]: [ 104 / 209 ] simplifiying candidate # 36.883 * [simplify]: Simplifying (* (cbrt n) (cbrt n)) 36.883 * * [simplify]: iters left: 3 (3 enodes) 36.884 * * [simplify]: iters left: 2 (9 enodes) 36.887 * * [simplify]: Extracting #0: cost 1 inf + 0 36.887 * * [simplify]: Extracting #1: cost 3 inf + 0 36.887 * * [simplify]: Extracting #2: cost 5 inf + 0 36.887 * * [simplify]: Extracting #3: cost 4 inf + 1 36.887 * * [simplify]: Extracting #4: cost 0 inf + 405 36.887 * [simplify]: Simplified to (* (cbrt n) (cbrt n)) 36.887 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (/ (pow (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 36.887 * * * * [progress]: [ 105 / 209 ] simplifiying candidate # 36.888 * [simplify]: Simplifying (sqrt n) 36.888 * * [simplify]: iters left: 1 (2 enodes) 36.889 * * [simplify]: Extracting #0: cost 1 inf + 0 36.889 * * [simplify]: Extracting #1: cost 3 inf + 0 36.889 * * [simplify]: Extracting #2: cost 2 inf + 1 36.889 * * [simplify]: Extracting #3: cost 0 inf + 83 36.889 * [simplify]: Simplified to (sqrt n) 36.889 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (/ (pow (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 36.889 * * * * [progress]: [ 106 / 209 ] simplifiying candidate # 36.889 * * * * [progress]: [ 107 / 209 ] simplifiying candidate #real (real->posit16 (* n (* 2 PI)))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k)))> 36.889 * * * * [progress]: [ 108 / 209 ] simplifiying candidate # 36.889 * * * * [progress]: [ 109 / 209 ] simplifiying candidate # 36.889 * * * * [progress]: [ 110 / 209 ] simplifiying candidate # 36.890 * [simplify]: Simplifying (- (* (* (+ (log n) (+ (log 2) (log PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (log (sqrt k))) 36.890 * * [simplify]: iters left: 6 (19 enodes) 36.900 * * [simplify]: iters left: 5 (78 enodes) 36.917 * * [simplify]: iters left: 4 (147 enodes) 36.983 * * [simplify]: Extracting #0: cost 1 inf + 0 36.983 * * [simplify]: Extracting #1: cost 5 inf + 0 36.984 * * [simplify]: Extracting #2: cost 50 inf + 0 36.984 * * [simplify]: Extracting #3: cost 135 inf + 2 36.990 * * [simplify]: Extracting #4: cost 177 inf + 187 36.993 * * [simplify]: Extracting #5: cost 130 inf + 6751 37.003 * * [simplify]: Extracting #6: cost 23 inf + 38494 37.019 * * [simplify]: Extracting #7: cost 1 inf + 47311 37.036 * * [simplify]: Extracting #8: cost 0 inf + 47803 37.053 * * [simplify]: Extracting #9: cost 0 inf + 47802 37.070 * [simplify]: Simplified to (- (/ (* (+ (sqrt k) 1) (+ (log n) (+ (log 2) (log PI)))) (/ 2 (- 1 (sqrt k)))) (log (sqrt k))) 37.070 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (* (+ (sqrt k) 1) (+ (log n) (+ (log 2) (log PI)))) (/ 2 (- 1 (sqrt k)))) (log (sqrt k))))) 37.070 * * * * [progress]: [ 111 / 209 ] simplifiying candidate # 37.071 * [simplify]: Simplifying (- (* (* (+ (log n) (log (* 2 PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (log (sqrt k))) 37.071 * * [simplify]: iters left: 6 (18 enodes) 37.081 * * [simplify]: iters left: 5 (76 enodes) 37.106 * * [simplify]: iters left: 4 (140 enodes) 37.179 * * [simplify]: iters left: 3 (427 enodes) 37.493 * * [simplify]: Extracting #0: cost 1 inf + 0 37.494 * * [simplify]: Extracting #1: cost 23 inf + 0 37.494 * * [simplify]: Extracting #2: cost 120 inf + 0 37.495 * * [simplify]: Extracting #3: cost 325 inf + 73 37.497 * * [simplify]: Extracting #4: cost 348 inf + 11074 37.512 * * [simplify]: Extracting #5: cost 185 inf + 59581 37.559 * * [simplify]: Extracting #6: cost 5 inf + 120203 37.610 * * [simplify]: Extracting #7: cost 0 inf + 122452 37.662 * [simplify]: Simplified to (- (* (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) (/ (- 1 (sqrt k)) 2)) (log (sqrt k))) 37.662 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) (/ (- 1 (sqrt k)) 2)) (log (sqrt k))))) 37.663 * * * * [progress]: [ 112 / 209 ] simplifiying candidate # 37.663 * [simplify]: Simplifying (- (* (* (log (* n (* 2 PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (log (sqrt k))) 37.663 * * [simplify]: iters left: 6 (17 enodes) 37.673 * * [simplify]: iters left: 5 (75 enodes) 37.699 * * [simplify]: iters left: 4 (147 enodes) 37.733 * * [simplify]: iters left: 3 (402 enodes) 38.042 * * [simplify]: Extracting #0: cost 1 inf + 0 38.042 * * [simplify]: Extracting #1: cost 18 inf + 0 38.042 * * [simplify]: Extracting #2: cost 102 inf + 0 38.044 * * [simplify]: Extracting #3: cost 292 inf + 2 38.047 * * [simplify]: Extracting #4: cost 357 inf + 1209 38.054 * * [simplify]: Extracting #5: cost 216 inf + 35466 38.077 * * [simplify]: Extracting #6: cost 11 inf + 93706 38.099 * * [simplify]: Extracting #7: cost 0 inf + 98605 38.121 * [simplify]: Simplified to (- (* (* (log (* (* PI 2) n)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)) (log (sqrt k))) 38.121 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (* (log (* (* PI 2) n)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)) (log (sqrt k))))) 38.121 * * * * [progress]: [ 113 / 209 ] simplifiying candidate # 38.121 * [simplify]: Simplifying (- (* (* (log (* n (* 2 PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (log (sqrt k))) 38.121 * * [simplify]: iters left: 6 (17 enodes) 38.126 * * [simplify]: iters left: 5 (75 enodes) 38.139 * * [simplify]: iters left: 4 (147 enodes) 38.179 * * [simplify]: iters left: 3 (402 enodes) 38.476 * * [simplify]: Extracting #0: cost 1 inf + 0 38.477 * * [simplify]: Extracting #1: cost 18 inf + 0 38.477 * * [simplify]: Extracting #2: cost 102 inf + 0 38.478 * * [simplify]: Extracting #3: cost 292 inf + 2 38.479 * * [simplify]: Extracting #4: cost 357 inf + 1209 38.485 * * [simplify]: Extracting #5: cost 216 inf + 35466 38.518 * * [simplify]: Extracting #6: cost 11 inf + 93706 38.568 * * [simplify]: Extracting #7: cost 0 inf + 98605 38.612 * [simplify]: Simplified to (- (* (* (log (* (* PI 2) n)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)) (log (sqrt k))) 38.612 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (* (log (* (* PI 2) n)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)) (log (sqrt k))))) 38.613 * * * * [progress]: [ 114 / 209 ] simplifiying candidate # 38.613 * [simplify]: Simplifying (- (* (log (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (log (sqrt k))) 38.613 * * [simplify]: iters left: 6 (17 enodes) 38.621 * * [simplify]: iters left: 5 (72 enodes) 38.646 * * [simplify]: iters left: 4 (131 enodes) 38.697 * * [simplify]: iters left: 3 (303 enodes) 38.936 * * [simplify]: Extracting #0: cost 1 inf + 0 38.936 * * [simplify]: Extracting #1: cost 22 inf + 0 38.937 * * [simplify]: Extracting #2: cost 104 inf + 0 38.938 * * [simplify]: Extracting #3: cost 275 inf + 2 38.941 * * [simplify]: Extracting #4: cost 303 inf + 11998 38.950 * * [simplify]: Extracting #5: cost 121 inf + 58803 38.974 * * [simplify]: Extracting #6: cost 9 inf + 96140 38.998 * * [simplify]: Extracting #7: cost 0 inf + 98126 39.026 * * [simplify]: Extracting #8: cost 0 inf + 97925 39.053 * * [simplify]: Extracting #9: cost 0 inf + 97685 39.080 * [simplify]: Simplified to (- (/ (- (+ (log (* (* PI 2) n)) (* (log (* (* PI 2) n)) (sqrt k))) (* (+ (log (* (* PI 2) n)) (* (log (* (* PI 2) n)) (sqrt k))) (sqrt k))) 2) (log (sqrt k))) 39.080 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log (* (* PI 2) n)) (* (log (* (* PI 2) n)) (sqrt k))) (* (+ (log (* (* PI 2) n)) (* (log (* (* PI 2) n)) (sqrt k))) (sqrt k))) 2) (log (sqrt k))))) 39.080 * * * * [progress]: [ 115 / 209 ] simplifiying candidate # 39.081 * [simplify]: Simplifying (- (* (log (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (log (sqrt k))) 39.081 * * [simplify]: iters left: 6 (17 enodes) 39.090 * * [simplify]: iters left: 5 (72 enodes) 39.112 * * [simplify]: iters left: 4 (131 enodes) 39.147 * * [simplify]: iters left: 3 (303 enodes) 39.325 * * [simplify]: Extracting #0: cost 1 inf + 0 39.326 * * [simplify]: Extracting #1: cost 22 inf + 0 39.327 * * [simplify]: Extracting #2: cost 104 inf + 0 39.328 * * [simplify]: Extracting #3: cost 275 inf + 2 39.333 * * [simplify]: Extracting #4: cost 303 inf + 11998 39.351 * * [simplify]: Extracting #5: cost 121 inf + 58803 39.390 * * [simplify]: Extracting #6: cost 9 inf + 96140 39.429 * * [simplify]: Extracting #7: cost 0 inf + 98126 39.469 * * [simplify]: Extracting #8: cost 0 inf + 97925 39.489 * * [simplify]: Extracting #9: cost 0 inf + 97685 39.519 * [simplify]: Simplified to (- (/ (- (+ (log (* (* PI 2) n)) (* (log (* (* PI 2) n)) (sqrt k))) (* (+ (log (* (* PI 2) n)) (* (log (* (* PI 2) n)) (sqrt k))) (sqrt k))) 2) (log (sqrt k))) 39.519 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log (* (* PI 2) n)) (* (log (* (* PI 2) n)) (sqrt k))) (* (+ (log (* (* PI 2) n)) (* (log (* (* PI 2) n)) (sqrt k))) (sqrt k))) 2) (log (sqrt k))))) 39.519 * * * * [progress]: [ 116 / 209 ] simplifiying candidate # 39.519 * [simplify]: Simplifying (- (log (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (log (sqrt k))) 39.519 * * [simplify]: iters left: 6 (17 enodes) 39.524 * * [simplify]: iters left: 5 (72 enodes) 39.535 * * [simplify]: iters left: 4 (128 enodes) 39.569 * * [simplify]: iters left: 3 (243 enodes) 39.674 * * [simplify]: Extracting #0: cost 1 inf + 0 39.675 * * [simplify]: Extracting #1: cost 13 inf + 0 39.675 * * [simplify]: Extracting #2: cost 84 inf + 0 39.676 * * [simplify]: Extracting #3: cost 221 inf + 3 39.678 * * [simplify]: Extracting #4: cost 236 inf + 3907 39.684 * * [simplify]: Extracting #5: cost 138 inf + 27562 39.699 * * [simplify]: Extracting #6: cost 23 inf + 72355 39.714 * * [simplify]: Extracting #7: cost 4 inf + 81802 39.740 * * [simplify]: Extracting #8: cost 0 inf + 84299 39.758 * [simplify]: Simplified to (- (/ (* (* (- 1 (sqrt k)) (+ 1 (sqrt k))) (log (* (* PI 2) n))) 2) (log (sqrt k))) 39.758 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (* (* (- 1 (sqrt k)) (+ 1 (sqrt k))) (log (* (* PI 2) n))) 2) (log (sqrt k))))) 39.758 * * * * [progress]: [ 117 / 209 ] simplifiying candidate # 39.758 * * * * [progress]: [ 118 / 209 ] simplifiying candidate # 39.758 * * * * [progress]: [ 119 / 209 ] simplifiying candidate # 39.759 * [simplify]: Simplifying (/ (* (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (* (* (sqrt k) (sqrt k)) (sqrt k))) 39.759 * * [simplify]: iters left: 6 (19 enodes) 39.764 * * [simplify]: iters left: 5 (83 enodes) 39.783 * * [simplify]: iters left: 4 (185 enodes) 39.846 * * [simplify]: Extracting #0: cost 1 inf + 0 39.846 * * [simplify]: Extracting #1: cost 48 inf + 0 39.846 * * [simplify]: Extracting #2: cost 107 inf + 123 39.847 * * [simplify]: Extracting #3: cost 135 inf + 246 39.848 * * [simplify]: Extracting #4: cost 151 inf + 498 39.850 * * [simplify]: Extracting #5: cost 126 inf + 3981 39.858 * * [simplify]: Extracting #6: cost 59 inf + 46520 39.878 * * [simplify]: Extracting #7: cost 3 inf + 93188 39.896 * * [simplify]: Extracting #8: cost 0 inf + 95799 39.913 * [simplify]: Simplified to (/ (* (* (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2))) (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2)))) (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2)))) (* (sqrt k) k)) 39.913 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (/ (* (* (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2))) (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2)))) (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2)))) (* (sqrt k) k)))) 39.913 * * * * [progress]: [ 120 / 209 ] simplifiying candidate # 39.914 * * * * [progress]: [ 121 / 209 ] simplifiying candidate # 39.914 * * * * [progress]: [ 122 / 209 ] simplifiying candidate # 39.914 * * * * [progress]: [ 123 / 209 ] simplifiying candidate # 39.914 * * * * [progress]: [ 124 / 209 ] simplifiying candidate # 39.914 * [simplify]: Simplifying (/ (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 39.914 * * [simplify]: iters left: 6 (14 enodes) 39.919 * * [simplify]: iters left: 5 (57 enodes) 39.939 * * [simplify]: iters left: 4 (99 enodes) 39.960 * * [simplify]: iters left: 3 (179 enodes) 39.995 * * [simplify]: iters left: 2 (369 enodes) 40.137 * * [simplify]: Extracting #0: cost 1 inf + 0 40.137 * * [simplify]: Extracting #1: cost 54 inf + 0 40.138 * * [simplify]: Extracting #2: cost 149 inf + 0 40.139 * * [simplify]: Extracting #3: cost 221 inf + 2 40.140 * * [simplify]: Extracting #4: cost 237 inf + 4701 40.147 * * [simplify]: Extracting #5: cost 151 inf + 58774 40.168 * * [simplify]: Extracting #6: cost 26 inf + 151775 40.200 * * [simplify]: Extracting #7: cost 0 inf + 167575 40.229 * * [simplify]: Extracting #8: cost 0 inf + 166460 40.260 * [simplify]: Simplified to (/ (pow (pow n (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 40.260 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (pow n (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (cbrt (sqrt k))))) 40.261 * [simplify]: Simplifying (/ (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (cbrt (sqrt k))) 40.261 * * [simplify]: iters left: 6 (14 enodes) 40.268 * * [simplify]: iters left: 5 (56 enodes) 40.286 * * [simplify]: iters left: 4 (88 enodes) 40.315 * * [simplify]: iters left: 3 (151 enodes) 40.371 * * [simplify]: iters left: 2 (310 enodes) 40.452 * * [simplify]: Extracting #0: cost 1 inf + 0 40.452 * * [simplify]: Extracting #1: cost 30 inf + 0 40.452 * * [simplify]: Extracting #2: cost 74 inf + 0 40.453 * * [simplify]: Extracting #3: cost 133 inf + 2 40.453 * * [simplify]: Extracting #4: cost 172 inf + 298 40.455 * * [simplify]: Extracting #5: cost 137 inf + 12099 40.463 * * [simplify]: Extracting #6: cost 66 inf + 44145 40.481 * * [simplify]: Extracting #7: cost 10 inf + 92479 40.493 * * [simplify]: Extracting #8: cost 0 inf + 99317 40.507 * [simplify]: Simplified to (/ (pow (pow (* 2 PI) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (cbrt (sqrt k))) 40.507 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (pow (* 2 PI) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (cbrt (sqrt k))))) 40.508 * * * * [progress]: [ 125 / 209 ] simplifiying candidate # 40.508 * [simplify]: Simplifying (/ (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (* (cbrt k) (cbrt k)))) 40.508 * * [simplify]: iters left: 6 (15 enodes) 40.517 * * [simplify]: iters left: 5 (59 enodes) 40.527 * * [simplify]: iters left: 4 (95 enodes) 40.543 * * [simplify]: iters left: 3 (160 enodes) 40.584 * * [simplify]: iters left: 2 (308 enodes) 40.662 * * [simplify]: Extracting #0: cost 1 inf + 0 40.663 * * [simplify]: Extracting #1: cost 30 inf + 0 40.666 * * [simplify]: Extracting #2: cost 78 inf + 0 40.667 * * [simplify]: Extracting #3: cost 139 inf + 2 40.667 * * [simplify]: Extracting #4: cost 182 inf + 12 40.669 * * [simplify]: Extracting #5: cost 165 inf + 5979 40.672 * * [simplify]: Extracting #6: cost 93 inf + 27113 40.686 * * [simplify]: Extracting #7: cost 13 inf + 89293 40.709 * * [simplify]: Extracting #8: cost 0 inf + 101096 40.731 * * [simplify]: Extracting #9: cost 0 inf + 100834 40.753 * [simplify]: Simplified to (/ (pow (pow n (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (fabs (cbrt k))) 40.753 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (pow n (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (fabs (cbrt k))) (/ (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (cbrt k))))) 40.754 * [simplify]: Simplifying (/ (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (cbrt k))) 40.754 * * [simplify]: iters left: 6 (15 enodes) 40.762 * * [simplify]: iters left: 5 (59 enodes) 40.783 * * [simplify]: iters left: 4 (91 enodes) 40.798 * * [simplify]: iters left: 3 (157 enodes) 40.842 * * [simplify]: iters left: 2 (318 enodes) 40.947 * * [simplify]: Extracting #0: cost 1 inf + 0 40.947 * * [simplify]: Extracting #1: cost 30 inf + 0 40.947 * * [simplify]: Extracting #2: cost 74 inf + 0 40.947 * * [simplify]: Extracting #3: cost 135 inf + 2 40.948 * * [simplify]: Extracting #4: cost 174 inf + 11 40.949 * * [simplify]: Extracting #5: cost 174 inf + 4186 40.954 * * [simplify]: Extracting #6: cost 86 inf + 36002 40.965 * * [simplify]: Extracting #7: cost 18 inf + 81925 40.988 * * [simplify]: Extracting #8: cost 0 inf + 97732 41.011 * * [simplify]: Extracting #9: cost 0 inf + 97601 41.028 * [simplify]: Simplified to (/ (pow (pow (* 2 PI) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2))) (sqrt (cbrt k))) 41.028 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (pow n (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (fabs (cbrt k))) (/ (pow (pow (* 2 PI) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2))) (sqrt (cbrt k))))) 41.028 * * * * [progress]: [ 126 / 209 ] simplifiying candidate # 41.028 * [simplify]: Simplifying (/ (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 41.029 * * [simplify]: iters left: 6 (13 enodes) 41.036 * * [simplify]: iters left: 5 (52 enodes) 41.045 * * [simplify]: iters left: 4 (88 enodes) 41.062 * * [simplify]: iters left: 3 (149 enodes) 41.110 * * [simplify]: iters left: 2 (292 enodes) 41.175 * * [simplify]: Extracting #0: cost 1 inf + 0 41.175 * * [simplify]: Extracting #1: cost 30 inf + 0 41.175 * * [simplify]: Extracting #2: cost 74 inf + 0 41.176 * * [simplify]: Extracting #3: cost 135 inf + 2 41.176 * * [simplify]: Extracting #4: cost 168 inf + 797 41.178 * * [simplify]: Extracting #5: cost 140 inf + 11887 41.189 * * [simplify]: Extracting #6: cost 39 inf + 69546 41.209 * * [simplify]: Extracting #7: cost 7 inf + 91265 41.231 * * [simplify]: Extracting #8: cost 0 inf + 95999 41.257 * [simplify]: Simplified to (/ (pow (pow n (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 41.258 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (pow n (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) (/ (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))))) 41.258 * [simplify]: Simplifying (/ (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 41.258 * * [simplify]: iters left: 6 (14 enodes) 41.262 * * [simplify]: iters left: 5 (56 enodes) 41.271 * * [simplify]: iters left: 4 (88 enodes) 41.286 * * [simplify]: iters left: 3 (151 enodes) 41.319 * * [simplify]: iters left: 2 (310 enodes) 41.396 * * [simplify]: Extracting #0: cost 1 inf + 0 41.396 * * [simplify]: Extracting #1: cost 30 inf + 0 41.397 * * [simplify]: Extracting #2: cost 74 inf + 0 41.397 * * [simplify]: Extracting #3: cost 133 inf + 2 41.398 * * [simplify]: Extracting #4: cost 172 inf + 298 41.402 * * [simplify]: Extracting #5: cost 137 inf + 11979 41.411 * * [simplify]: Extracting #6: cost 66 inf + 43665 41.421 * * [simplify]: Extracting #7: cost 10 inf + 91119 41.436 * * [simplify]: Extracting #8: cost 0 inf + 97837 41.447 * [simplify]: Simplified to (/ (pow (pow (* 2 PI) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 41.447 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) (/ (pow (pow (* 2 PI) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))))) 41.447 * * * * [progress]: [ 127 / 209 ] simplifiying candidate # 41.447 * [simplify]: Simplifying (/ (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt 1)) 41.448 * * [simplify]: iters left: 6 (13 enodes) 41.453 * * [simplify]: iters left: 5 (52 enodes) 41.469 * * [simplify]: iters left: 4 (86 enodes) 41.484 * * [simplify]: iters left: 3 (143 enodes) 41.512 * * [simplify]: iters left: 2 (276 enodes) 41.586 * * [simplify]: Extracting #0: cost 1 inf + 0 41.586 * * [simplify]: Extracting #1: cost 20 inf + 0 41.586 * * [simplify]: Extracting #2: cost 79 inf + 2 41.587 * * [simplify]: Extracting #3: cost 143 inf + 6 41.587 * * [simplify]: Extracting #4: cost 161 inf + 11 41.588 * * [simplify]: Extracting #5: cost 152 inf + 1248 41.590 * * [simplify]: Extracting #6: cost 85 inf + 15042 41.596 * * [simplify]: Extracting #7: cost 21 inf + 50731 41.607 * * [simplify]: Extracting #8: cost 0 inf + 67322 41.615 * * [simplify]: Extracting #9: cost 0 inf + 66888 41.628 * [simplify]: Simplified to (pow (pow n (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) 41.628 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (pow n (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (/ (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k)))) 41.628 * [simplify]: Simplifying (/ (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k)) 41.629 * * [simplify]: iters left: 6 (13 enodes) 41.636 * * [simplify]: iters left: 5 (53 enodes) 41.652 * * [simplify]: iters left: 4 (85 enodes) 41.680 * * [simplify]: iters left: 3 (151 enodes) 41.710 * * [simplify]: iters left: 2 (312 enodes) 41.815 * * [simplify]: Extracting #0: cost 1 inf + 0 41.815 * * [simplify]: Extracting #1: cost 30 inf + 0 41.816 * * [simplify]: Extracting #2: cost 74 inf + 0 41.816 * * [simplify]: Extracting #3: cost 132 inf + 44 41.817 * * [simplify]: Extracting #4: cost 167 inf + 748 41.819 * * [simplify]: Extracting #5: cost 138 inf + 9990 41.828 * * [simplify]: Extracting #6: cost 49 inf + 57979 41.848 * * [simplify]: Extracting #7: cost 1 inf + 97968 41.860 * * [simplify]: Extracting #8: cost 0 inf + 98300 41.871 * [simplify]: Simplified to (/ (pow (pow (* 2 PI) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (sqrt k)) 41.871 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (pow n (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (/ (pow (pow (* 2 PI) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (sqrt k)))) 41.871 * * * * [progress]: [ 128 / 209 ] simplifiying candidate # 41.872 * [simplify]: Simplifying (/ (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 41.872 * * [simplify]: iters left: 6 (13 enodes) 41.876 * * [simplify]: iters left: 5 (52 enodes) 41.891 * * [simplify]: iters left: 4 (88 enodes) 41.921 * * [simplify]: iters left: 3 (149 enodes) 41.966 * * [simplify]: iters left: 2 (292 enodes) 42.075 * * [simplify]: Extracting #0: cost 1 inf + 0 42.075 * * [simplify]: Extracting #1: cost 30 inf + 0 42.075 * * [simplify]: Extracting #2: cost 74 inf + 0 42.076 * * [simplify]: Extracting #3: cost 135 inf + 2 42.077 * * [simplify]: Extracting #4: cost 168 inf + 797 42.080 * * [simplify]: Extracting #5: cost 140 inf + 11887 42.094 * * [simplify]: Extracting #6: cost 39 inf + 69546 42.115 * * [simplify]: Extracting #7: cost 7 inf + 91265 42.137 * * [simplify]: Extracting #8: cost 0 inf + 95999 42.154 * [simplify]: Simplified to (/ (pow (pow n (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 42.154 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (pow n (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) (/ (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))))) 42.154 * [simplify]: Simplifying (/ (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 42.155 * * [simplify]: iters left: 6 (14 enodes) 42.158 * * [simplify]: iters left: 5 (56 enodes) 42.169 * * [simplify]: iters left: 4 (88 enodes) 42.199 * * [simplify]: iters left: 3 (151 enodes) 42.259 * * [simplify]: iters left: 2 (310 enodes) 42.336 * * [simplify]: Extracting #0: cost 1 inf + 0 42.336 * * [simplify]: Extracting #1: cost 30 inf + 0 42.336 * * [simplify]: Extracting #2: cost 74 inf + 0 42.336 * * [simplify]: Extracting #3: cost 133 inf + 2 42.337 * * [simplify]: Extracting #4: cost 172 inf + 298 42.339 * * [simplify]: Extracting #5: cost 137 inf + 11979 42.344 * * [simplify]: Extracting #6: cost 66 inf + 43665 42.354 * * [simplify]: Extracting #7: cost 10 inf + 91119 42.377 * * [simplify]: Extracting #8: cost 0 inf + 97837 42.400 * [simplify]: Simplified to (/ (pow (pow (* 2 PI) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 42.400 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) (/ (pow (pow (* 2 PI) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))))) 42.401 * * * * [progress]: [ 129 / 209 ] simplifiying candidate # 42.401 * [simplify]: Simplifying (/ (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) 1) 42.401 * * [simplify]: iters left: 6 (12 enodes) 42.408 * * [simplify]: iters left: 5 (47 enodes) 42.419 * * [simplify]: iters left: 4 (83 enodes) 42.437 * * [simplify]: iters left: 3 (144 enodes) 42.474 * * [simplify]: iters left: 2 (288 enodes) 42.563 * * [simplify]: Extracting #0: cost 1 inf + 0 42.563 * * [simplify]: Extracting #1: cost 31 inf + 0 42.563 * * [simplify]: Extracting #2: cost 97 inf + 2 42.563 * * [simplify]: Extracting #3: cost 166 inf + 6 42.564 * * [simplify]: Extracting #4: cost 184 inf + 11 42.565 * * [simplify]: Extracting #5: cost 159 inf + 3912 42.568 * * [simplify]: Extracting #6: cost 91 inf + 21105 42.575 * * [simplify]: Extracting #7: cost 24 inf + 68334 42.585 * * [simplify]: Extracting #8: cost 0 inf + 88528 42.596 * * [simplify]: Extracting #9: cost 0 inf + 88397 42.606 * [simplify]: Simplified to (pow (pow n (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) 42.606 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (pow n (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (/ (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k)))) 42.606 * [simplify]: Simplifying (/ (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k)) 42.607 * * [simplify]: iters left: 6 (13 enodes) 42.614 * * [simplify]: iters left: 5 (53 enodes) 42.638 * * [simplify]: iters left: 4 (85 enodes) 42.665 * * [simplify]: iters left: 3 (151 enodes) 42.703 * * [simplify]: iters left: 2 (312 enodes) 42.795 * * [simplify]: Extracting #0: cost 1 inf + 0 42.795 * * [simplify]: Extracting #1: cost 30 inf + 0 42.795 * * [simplify]: Extracting #2: cost 74 inf + 0 42.796 * * [simplify]: Extracting #3: cost 132 inf + 44 42.796 * * [simplify]: Extracting #4: cost 167 inf + 748 42.798 * * [simplify]: Extracting #5: cost 138 inf + 9990 42.804 * * [simplify]: Extracting #6: cost 49 inf + 57979 42.822 * * [simplify]: Extracting #7: cost 1 inf + 97968 42.841 * * [simplify]: Extracting #8: cost 0 inf + 98300 42.857 * [simplify]: Simplified to (/ (pow (pow (* 2 PI) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (sqrt k)) 42.857 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (pow n (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (/ (pow (pow (* 2 PI) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (sqrt k)))) 42.857 * * * * [progress]: [ 130 / 209 ] simplifiying candidate # 42.857 * [simplify]: Simplifying (/ (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 42.857 * * [simplify]: iters left: 6 (19 enodes) 42.862 * * [simplify]: iters left: 5 (76 enodes) 42.875 * * [simplify]: iters left: 4 (126 enodes) 42.897 * * [simplify]: iters left: 3 (207 enodes) 42.952 * * [simplify]: iters left: 2 (396 enodes) 43.054 * * [simplify]: Extracting #0: cost 1 inf + 0 43.054 * * [simplify]: Extracting #1: cost 55 inf + 0 43.054 * * [simplify]: Extracting #2: cost 148 inf + 0 43.055 * * [simplify]: Extracting #3: cost 212 inf + 2 43.056 * * [simplify]: Extracting #4: cost 206 inf + 1725 43.057 * * [simplify]: Extracting #5: cost 186 inf + 6257 43.060 * * [simplify]: Extracting #6: cost 213 inf + 7606 43.063 * * [simplify]: Extracting #7: cost 203 inf + 18019 43.075 * * [simplify]: Extracting #8: cost 97 inf + 106502 43.128 * * [simplify]: Extracting #9: cost 6 inf + 206999 43.164 * * [simplify]: Extracting #10: cost 0 inf + 210792 43.206 * * [simplify]: Extracting #11: cost 0 inf + 210188 43.272 * [simplify]: Simplified to (/ (pow (* (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k))))) (/ (- 1 (sqrt k)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 43.272 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k))))) (/ (- 1 (sqrt k)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (cbrt (sqrt k))))) 43.273 * [simplify]: Simplifying (/ (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (cbrt (sqrt k))) 43.273 * * [simplify]: iters left: 6 (17 enodes) 43.280 * * [simplify]: iters left: 5 (68 enodes) 43.294 * * [simplify]: iters left: 4 (108 enodes) 43.314 * * [simplify]: iters left: 3 (179 enodes) 43.368 * * [simplify]: iters left: 2 (343 enodes) 43.481 * * [simplify]: Extracting #0: cost 1 inf + 0 43.481 * * [simplify]: Extracting #1: cost 30 inf + 0 43.482 * * [simplify]: Extracting #2: cost 72 inf + 0 43.482 * * [simplify]: Extracting #3: cost 130 inf + 2 43.483 * * [simplify]: Extracting #4: cost 145 inf + 52 43.486 * * [simplify]: Extracting #5: cost 155 inf + 4103 43.491 * * [simplify]: Extracting #6: cost 124 inf + 15344 43.507 * * [simplify]: Extracting #7: cost 49 inf + 67608 43.524 * * [simplify]: Extracting #8: cost 7 inf + 107049 43.545 * * [simplify]: Extracting #9: cost 0 inf + 112358 43.573 * [simplify]: Simplified to (/ (pow (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (cbrt (sqrt k))) 43.573 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (cbrt (sqrt k))))) 43.574 * * * * [progress]: [ 131 / 209 ] simplifiying candidate # 43.574 * [simplify]: Simplifying (/ (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2)) (sqrt (* (cbrt k) (cbrt k)))) 43.574 * * [simplify]: iters left: 6 (20 enodes) 43.579 * * [simplify]: iters left: 5 (78 enodes) 43.591 * * [simplify]: iters left: 4 (122 enodes) 43.611 * * [simplify]: iters left: 3 (188 enodes) 43.673 * * [simplify]: iters left: 2 (331 enodes) 43.770 * * [simplify]: Extracting #0: cost 1 inf + 0 43.770 * * [simplify]: Extracting #1: cost 30 inf + 0 43.770 * * [simplify]: Extracting #2: cost 73 inf + 0 43.771 * * [simplify]: Extracting #3: cost 126 inf + 2 43.772 * * [simplify]: Extracting #4: cost 134 inf + 11 43.773 * * [simplify]: Extracting #5: cost 140 inf + 701 43.775 * * [simplify]: Extracting #6: cost 144 inf + 5277 43.780 * * [simplify]: Extracting #7: cost 132 inf + 12860 43.794 * * [simplify]: Extracting #8: cost 64 inf + 59466 43.822 * * [simplify]: Extracting #9: cost 10 inf + 106475 43.845 * * [simplify]: Extracting #10: cost 0 inf + 117557 43.861 * [simplify]: Simplified to (/ (pow (* (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k))))) (- 1/2 (/ (sqrt k) 2))) (fabs (cbrt k))) 43.862 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k))))) (- 1/2 (/ (sqrt k) 2))) (fabs (cbrt k))) (/ (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt (cbrt k))))) 43.862 * [simplify]: Simplifying (/ (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt (cbrt k))) 43.862 * * [simplify]: iters left: 6 (18 enodes) 43.874 * * [simplify]: iters left: 5 (71 enodes) 43.898 * * [simplify]: iters left: 4 (115 enodes) 43.933 * * [simplify]: iters left: 3 (181 enodes) 43.971 * * [simplify]: iters left: 2 (324 enodes) 44.519 * * [simplify]: Extracting #0: cost 1 inf + 0 44.519 * * [simplify]: Extracting #1: cost 30 inf + 0 44.520 * * [simplify]: Extracting #2: cost 74 inf + 0 44.520 * * [simplify]: Extracting #3: cost 125 inf + 2 44.521 * * [simplify]: Extracting #4: cost 143 inf + 11 44.522 * * [simplify]: Extracting #5: cost 182 inf + 254 44.525 * * [simplify]: Extracting #6: cost 169 inf + 6806 44.532 * * [simplify]: Extracting #7: cost 105 inf + 24289 44.548 * * [simplify]: Extracting #8: cost 10 inf + 108506 44.563 * * [simplify]: Extracting #9: cost 0 inf + 116041 44.592 * * [simplify]: Extracting #10: cost 0 inf + 115910 44.611 * [simplify]: Simplified to (/ (pow (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (sqrt (cbrt k))) 44.611 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (sqrt (cbrt k))))) 44.611 * * * * [progress]: [ 132 / 209 ] simplifiying candidate # 44.612 * [simplify]: Simplifying (/ (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 44.612 * * [simplify]: iters left: 6 (18 enodes) 44.617 * * [simplify]: iters left: 5 (71 enodes) 44.629 * * [simplify]: iters left: 4 (115 enodes) 44.650 * * [simplify]: iters left: 3 (181 enodes) 44.693 * * [simplify]: iters left: 2 (324 enodes) 44.802 * * [simplify]: Extracting #0: cost 1 inf + 0 44.802 * * [simplify]: Extracting #1: cost 30 inf + 0 44.803 * * [simplify]: Extracting #2: cost 74 inf + 0 44.803 * * [simplify]: Extracting #3: cost 124 inf + 2 44.803 * * [simplify]: Extracting #4: cost 130 inf + 52 44.804 * * [simplify]: Extracting #5: cost 116 inf + 3078 44.806 * * [simplify]: Extracting #6: cost 134 inf + 6307 44.809 * * [simplify]: Extracting #7: cost 123 inf + 16740 44.816 * * [simplify]: Extracting #8: cost 60 inf + 60836 44.839 * * [simplify]: Extracting #9: cost 4 inf + 115221 44.872 * * [simplify]: Extracting #10: cost 0 inf + 116492 44.907 * [simplify]: Simplified to (/ (pow (* (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k))))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 44.907 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k))))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) (/ (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))))) 44.907 * [simplify]: Simplifying (/ (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 44.907 * * [simplify]: iters left: 6 (17 enodes) 44.916 * * [simplify]: iters left: 5 (68 enodes) 44.934 * * [simplify]: iters left: 4 (108 enodes) 44.952 * * [simplify]: iters left: 3 (179 enodes) 44.984 * * [simplify]: iters left: 2 (343 enodes) 45.107 * * [simplify]: Extracting #0: cost 1 inf + 0 45.107 * * [simplify]: Extracting #1: cost 30 inf + 0 45.108 * * [simplify]: Extracting #2: cost 72 inf + 0 45.108 * * [simplify]: Extracting #3: cost 130 inf + 2 45.109 * * [simplify]: Extracting #4: cost 145 inf + 52 45.111 * * [simplify]: Extracting #5: cost 155 inf + 4063 45.115 * * [simplify]: Extracting #6: cost 124 inf + 15144 45.125 * * [simplify]: Extracting #7: cost 49 inf + 66608 45.139 * * [simplify]: Extracting #8: cost 7 inf + 105569 45.153 * * [simplify]: Extracting #9: cost 0 inf + 110878 45.169 * [simplify]: Simplified to (/ (pow (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 45.169 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) (/ (pow (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))))) 45.169 * * * * [progress]: [ 133 / 209 ] simplifiying candidate # 45.170 * [simplify]: Simplifying (/ (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2)) (sqrt 1)) 45.170 * * [simplify]: iters left: 6 (18 enodes) 45.180 * * [simplify]: iters left: 5 (71 enodes) 45.202 * * [simplify]: iters left: 4 (113 enodes) 45.237 * * [simplify]: iters left: 3 (175 enodes) 45.296 * * [simplify]: iters left: 2 (308 enodes) 45.415 * * [simplify]: Extracting #0: cost 1 inf + 0 45.415 * * [simplify]: Extracting #1: cost 20 inf + 0 45.416 * * [simplify]: Extracting #2: cost 65 inf + 2 45.416 * * [simplify]: Extracting #3: cost 99 inf + 5 45.417 * * [simplify]: Extracting #4: cost 111 inf + 10 45.418 * * [simplify]: Extracting #5: cost 147 inf + 52 45.421 * * [simplify]: Extracting #6: cost 124 inf + 5004 45.428 * * [simplify]: Extracting #7: cost 61 inf + 27080 45.445 * * [simplify]: Extracting #8: cost 7 inf + 71200 45.465 * * [simplify]: Extracting #9: cost 0 inf + 77180 45.477 * * [simplify]: Extracting #10: cost 0 inf + 77090 45.488 * [simplify]: Simplified to (pow (* (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k))))) (/ (- 1 (sqrt k)) 2)) 45.488 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k))))) (/ (- 1 (sqrt k)) 2)) (/ (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt k)))) 45.489 * [simplify]: Simplifying (/ (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt k)) 45.489 * * [simplify]: iters left: 6 (16 enodes) 45.497 * * [simplify]: iters left: 5 (65 enodes) 45.518 * * [simplify]: iters left: 4 (105 enodes) 45.535 * * [simplify]: iters left: 3 (176 enodes) 45.597 * * [simplify]: iters left: 2 (340 enodes) 45.733 * * [simplify]: Extracting #0: cost 1 inf + 0 45.733 * * [simplify]: Extracting #1: cost 30 inf + 0 45.734 * * [simplify]: Extracting #2: cost 73 inf + 0 45.734 * * [simplify]: Extracting #3: cost 124 inf + 44 45.735 * * [simplify]: Extracting #4: cost 137 inf + 461 45.737 * * [simplify]: Extracting #5: cost 142 inf + 5211 45.742 * * [simplify]: Extracting #6: cost 127 inf + 13340 45.756 * * [simplify]: Extracting #7: cost 40 inf + 71783 45.771 * * [simplify]: Extracting #8: cost 4 inf + 106771 45.785 * * [simplify]: Extracting #9: cost 0 inf + 109937 45.801 * [simplify]: Simplified to (/ (pow (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (* 1/2 (- 1 (sqrt k)))) (sqrt k)) 45.802 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2)) (sqrt 1)) (/ (pow (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (* 1/2 (- 1 (sqrt k)))) (sqrt k)))) 45.802 * * * * [progress]: [ 134 / 209 ] simplifiying candidate # 45.802 * [simplify]: Simplifying (/ (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 45.802 * * [simplify]: iters left: 6 (18 enodes) 45.812 * * [simplify]: iters left: 5 (71 enodes) 45.835 * * [simplify]: iters left: 4 (115 enodes) 45.868 * * [simplify]: iters left: 3 (181 enodes) 45.922 * * [simplify]: iters left: 2 (324 enodes) 46.045 * * [simplify]: Extracting #0: cost 1 inf + 0 46.045 * * [simplify]: Extracting #1: cost 30 inf + 0 46.045 * * [simplify]: Extracting #2: cost 74 inf + 0 46.046 * * [simplify]: Extracting #3: cost 124 inf + 2 46.047 * * [simplify]: Extracting #4: cost 130 inf + 52 46.049 * * [simplify]: Extracting #5: cost 116 inf + 3078 46.052 * * [simplify]: Extracting #6: cost 134 inf + 6307 46.059 * * [simplify]: Extracting #7: cost 123 inf + 16740 46.073 * * [simplify]: Extracting #8: cost 60 inf + 60836 46.102 * * [simplify]: Extracting #9: cost 4 inf + 115221 46.120 * * [simplify]: Extracting #10: cost 0 inf + 116492 46.141 * [simplify]: Simplified to (/ (pow (* (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k))))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 46.141 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k))))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) (/ (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))))) 46.141 * [simplify]: Simplifying (/ (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 46.141 * * [simplify]: iters left: 6 (17 enodes) 46.151 * * [simplify]: iters left: 5 (68 enodes) 46.177 * * [simplify]: iters left: 4 (108 enodes) 46.206 * * [simplify]: iters left: 3 (179 enodes) 46.247 * * [simplify]: iters left: 2 (343 enodes) 46.357 * * [simplify]: Extracting #0: cost 1 inf + 0 46.357 * * [simplify]: Extracting #1: cost 30 inf + 0 46.357 * * [simplify]: Extracting #2: cost 72 inf + 0 46.358 * * [simplify]: Extracting #3: cost 130 inf + 2 46.359 * * [simplify]: Extracting #4: cost 145 inf + 52 46.361 * * [simplify]: Extracting #5: cost 155 inf + 4063 46.364 * * [simplify]: Extracting #6: cost 124 inf + 15144 46.372 * * [simplify]: Extracting #7: cost 49 inf + 66608 46.388 * * [simplify]: Extracting #8: cost 7 inf + 105569 46.418 * * [simplify]: Extracting #9: cost 0 inf + 110878 46.434 * [simplify]: Simplified to (/ (pow (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 46.434 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) (/ (pow (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))))) 46.435 * * * * [progress]: [ 135 / 209 ] simplifiying candidate # 46.435 * [simplify]: Simplifying (/ (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2)) 1) 46.435 * * [simplify]: iters left: 6 (17 enodes) 46.440 * * [simplify]: iters left: 5 (66 enodes) 46.452 * * [simplify]: iters left: 4 (106 enodes) 46.473 * * [simplify]: iters left: 3 (178 enodes) 46.523 * * [simplify]: iters left: 2 (343 enodes) 46.621 * * [simplify]: Extracting #0: cost 1 inf + 0 46.621 * * [simplify]: Extracting #1: cost 33 inf + 0 46.622 * * [simplify]: Extracting #2: cost 92 inf + 2 46.622 * * [simplify]: Extracting #3: cost 130 inf + 6 46.623 * * [simplify]: Extracting #4: cost 143 inf + 11 46.624 * * [simplify]: Extracting #5: cost 180 inf + 135 46.627 * * [simplify]: Extracting #6: cost 153 inf + 6710 46.634 * * [simplify]: Extracting #7: cost 99 inf + 18859 46.650 * * [simplify]: Extracting #8: cost 35 inf + 69560 46.669 * * [simplify]: Extracting #9: cost 1 inf + 107411 46.684 * * [simplify]: Extracting #10: cost 0 inf + 107782 46.708 * [simplify]: Simplified to (pow (* (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k))))) (/ (- 1 (sqrt k)) 2)) 46.708 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k))))) (/ (- 1 (sqrt k)) 2)) (/ (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt k)))) 46.708 * [simplify]: Simplifying (/ (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt k)) 46.708 * * [simplify]: iters left: 6 (16 enodes) 46.713 * * [simplify]: iters left: 5 (65 enodes) 46.727 * * [simplify]: iters left: 4 (105 enodes) 46.759 * * [simplify]: iters left: 3 (176 enodes) 46.796 * * [simplify]: iters left: 2 (340 enodes) 46.885 * * [simplify]: Extracting #0: cost 1 inf + 0 46.885 * * [simplify]: Extracting #1: cost 30 inf + 0 46.885 * * [simplify]: Extracting #2: cost 73 inf + 0 46.886 * * [simplify]: Extracting #3: cost 124 inf + 44 46.887 * * [simplify]: Extracting #4: cost 137 inf + 461 46.890 * * [simplify]: Extracting #5: cost 142 inf + 5211 46.895 * * [simplify]: Extracting #6: cost 127 inf + 13340 46.911 * * [simplify]: Extracting #7: cost 40 inf + 71783 46.928 * * [simplify]: Extracting #8: cost 4 inf + 106771 46.944 * * [simplify]: Extracting #9: cost 0 inf + 109937 46.957 * [simplify]: Simplified to (/ (pow (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (* 1/2 (- 1 (sqrt k)))) (sqrt k)) 46.958 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2)) 1) (/ (pow (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (* 1/2 (- 1 (sqrt k)))) (sqrt k)))) 46.958 * * * * [progress]: [ 136 / 209 ] simplifiying candidate # 46.958 * [simplify]: Simplifying (/ (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 46.958 * * [simplify]: iters left: 6 (18 enodes) 46.963 * * [simplify]: iters left: 5 (73 enodes) 46.976 * * [simplify]: iters left: 4 (124 enodes) 47.001 * * [simplify]: iters left: 3 (205 enodes) 47.050 * * [simplify]: iters left: 2 (394 enodes) 47.201 * * [simplify]: Extracting #0: cost 1 inf + 0 47.201 * * [simplify]: Extracting #1: cost 55 inf + 0 47.201 * * [simplify]: Extracting #2: cost 149 inf + 0 47.202 * * [simplify]: Extracting #3: cost 211 inf + 2 47.203 * * [simplify]: Extracting #4: cost 219 inf + 1599 47.205 * * [simplify]: Extracting #5: cost 224 inf + 6343 47.208 * * [simplify]: Extracting #6: cost 201 inf + 15095 47.230 * * [simplify]: Extracting #7: cost 82 inf + 110455 47.278 * * [simplify]: Extracting #8: cost 2 inf + 195853 47.328 * * [simplify]: Extracting #9: cost 0 inf + 195420 47.381 * * [simplify]: Extracting #10: cost 0 inf + 195289 47.425 * [simplify]: Simplified to (/ (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 47.425 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (cbrt (sqrt k))))) 47.425 * [simplify]: Simplifying (/ (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (cbrt (sqrt k))) 47.426 * * [simplify]: iters left: 6 (17 enodes) 47.430 * * [simplify]: iters left: 5 (68 enodes) 47.444 * * [simplify]: iters left: 4 (109 enodes) 47.479 * * [simplify]: iters left: 3 (180 enodes) 47.543 * * [simplify]: iters left: 2 (344 enodes) 47.626 * * [simplify]: Extracting #0: cost 1 inf + 0 47.626 * * [simplify]: Extracting #1: cost 30 inf + 0 47.627 * * [simplify]: Extracting #2: cost 72 inf + 0 47.627 * * [simplify]: Extracting #3: cost 130 inf + 2 47.630 * * [simplify]: Extracting #4: cost 150 inf + 52 47.631 * * [simplify]: Extracting #5: cost 163 inf + 4143 47.633 * * [simplify]: Extracting #6: cost 126 inf + 12647 47.640 * * [simplify]: Extracting #7: cost 51 inf + 65883 47.664 * * [simplify]: Extracting #8: cost 3 inf + 108038 47.694 * * [simplify]: Extracting #9: cost 0 inf + 109726 47.716 * * [simplify]: Extracting #10: cost 0 inf + 109596 47.730 * [simplify]: Simplified to (/ (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (cbrt (sqrt k))) 47.730 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (cbrt (sqrt k))))) 47.730 * * * * [progress]: [ 137 / 209 ] simplifiying candidate # 47.730 * [simplify]: Simplifying (/ (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt (* (cbrt k) (cbrt k)))) 47.730 * * [simplify]: iters left: 6 (19 enodes) 47.735 * * [simplify]: iters left: 5 (75 enodes) 47.750 * * [simplify]: iters left: 4 (120 enodes) 47.768 * * [simplify]: iters left: 3 (186 enodes) 47.799 * * [simplify]: iters left: 2 (329 enodes) 47.919 * * [simplify]: Extracting #0: cost 1 inf + 0 47.920 * * [simplify]: Extracting #1: cost 30 inf + 0 47.920 * * [simplify]: Extracting #2: cost 73 inf + 0 47.921 * * [simplify]: Extracting #3: cost 128 inf + 2 47.922 * * [simplify]: Extracting #4: cost 150 inf + 11 47.923 * * [simplify]: Extracting #5: cost 186 inf + 698 47.926 * * [simplify]: Extracting #6: cost 168 inf + 7171 47.935 * * [simplify]: Extracting #7: cost 82 inf + 41018 47.959 * * [simplify]: Extracting #8: cost 15 inf + 96848 47.985 * * [simplify]: Extracting #9: cost 0 inf + 108735 47.998 * [simplify]: Simplified to (/ (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (fabs (cbrt k))) 47.998 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (fabs (cbrt k))) (/ (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt (cbrt k))))) 47.999 * [simplify]: Simplifying (/ (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt (cbrt k))) 47.999 * * [simplify]: iters left: 6 (18 enodes) 48.004 * * [simplify]: iters left: 5 (71 enodes) 48.015 * * [simplify]: iters left: 4 (116 enodes) 48.034 * * [simplify]: iters left: 3 (182 enodes) 48.088 * * [simplify]: iters left: 2 (325 enodes) 48.198 * * [simplify]: Extracting #0: cost 1 inf + 0 48.198 * * [simplify]: Extracting #1: cost 30 inf + 0 48.199 * * [simplify]: Extracting #2: cost 74 inf + 0 48.199 * * [simplify]: Extracting #3: cost 126 inf + 2 48.200 * * [simplify]: Extracting #4: cost 148 inf + 11 48.201 * * [simplify]: Extracting #5: cost 189 inf + 336 48.204 * * [simplify]: Extracting #6: cost 158 inf + 9323 48.215 * * [simplify]: Extracting #7: cost 70 inf + 47963 48.240 * * [simplify]: Extracting #8: cost 3 inf + 111692 48.268 * * [simplify]: Extracting #9: cost 0 inf + 112978 48.296 * [simplify]: Simplified to (/ (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (sqrt (cbrt k))) 48.296 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (sqrt (cbrt k))))) 48.296 * * * * [progress]: [ 138 / 209 ] simplifiying candidate # 48.297 * [simplify]: Simplifying (/ (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 48.297 * * [simplify]: iters left: 6 (17 enodes) 48.306 * * [simplify]: iters left: 5 (68 enodes) 48.326 * * [simplify]: iters left: 4 (109 enodes) 48.364 * * [simplify]: iters left: 3 (180 enodes) 48.428 * * [simplify]: iters left: 2 (344 enodes) 48.532 * * [simplify]: Extracting #0: cost 1 inf + 0 48.533 * * [simplify]: Extracting #1: cost 30 inf + 0 48.533 * * [simplify]: Extracting #2: cost 72 inf + 0 48.533 * * [simplify]: Extracting #3: cost 130 inf + 2 48.534 * * [simplify]: Extracting #4: cost 150 inf + 52 48.536 * * [simplify]: Extracting #5: cost 163 inf + 4103 48.541 * * [simplify]: Extracting #6: cost 126 inf + 12527 48.556 * * [simplify]: Extracting #7: cost 51 inf + 64883 48.583 * * [simplify]: Extracting #8: cost 3 inf + 106558 48.615 * * [simplify]: Extracting #9: cost 0 inf + 108246 48.644 * * [simplify]: Extracting #10: cost 0 inf + 108116 48.671 * [simplify]: Simplified to (/ (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 48.671 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) (/ (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))))) 48.671 * [simplify]: Simplifying (/ (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 48.671 * * [simplify]: iters left: 6 (17 enodes) 48.676 * * [simplify]: iters left: 5 (68 enodes) 48.687 * * [simplify]: iters left: 4 (109 enodes) 48.710 * * [simplify]: iters left: 3 (180 enodes) 48.757 * * [simplify]: iters left: 2 (344 enodes) 48.856 * * [simplify]: Extracting #0: cost 1 inf + 0 48.856 * * [simplify]: Extracting #1: cost 30 inf + 0 48.856 * * [simplify]: Extracting #2: cost 72 inf + 0 48.856 * * [simplify]: Extracting #3: cost 130 inf + 2 48.857 * * [simplify]: Extracting #4: cost 150 inf + 52 48.858 * * [simplify]: Extracting #5: cost 163 inf + 4103 48.860 * * [simplify]: Extracting #6: cost 126 inf + 12527 48.867 * * [simplify]: Extracting #7: cost 51 inf + 64883 48.883 * * [simplify]: Extracting #8: cost 3 inf + 106558 48.910 * * [simplify]: Extracting #9: cost 0 inf + 108246 48.938 * * [simplify]: Extracting #10: cost 0 inf + 108116 48.955 * [simplify]: Simplified to (/ (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 48.955 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) (/ (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))))) 48.955 * * * * [progress]: [ 139 / 209 ] simplifiying candidate # 48.955 * [simplify]: Simplifying (/ (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt 1)) 48.955 * * [simplify]: iters left: 6 (17 enodes) 48.961 * * [simplify]: iters left: 5 (68 enodes) 48.977 * * [simplify]: iters left: 4 (107 enodes) 48.997 * * [simplify]: iters left: 3 (171 enodes) 49.035 * * [simplify]: iters left: 2 (320 enodes) 49.126 * * [simplify]: Extracting #0: cost 1 inf + 0 49.126 * * [simplify]: Extracting #1: cost 20 inf + 0 49.126 * * [simplify]: Extracting #2: cost 70 inf + 2 49.127 * * [simplify]: Extracting #3: cost 119 inf + 5 49.128 * * [simplify]: Extracting #4: cost 163 inf + 10 49.129 * * [simplify]: Extracting #5: cost 168 inf + 547 49.133 * * [simplify]: Extracting #6: cost 103 inf + 12082 49.143 * * [simplify]: Extracting #7: cost 46 inf + 34454 49.163 * * [simplify]: Extracting #8: cost 8 inf + 67928 49.173 * * [simplify]: Extracting #9: cost 0 inf + 75657 49.183 * * [simplify]: Extracting #10: cost 0 inf + 75485 49.193 * [simplify]: Simplified to (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) 49.193 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (/ (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt k)))) 49.193 * [simplify]: Simplifying (/ (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt k)) 49.193 * * [simplify]: iters left: 6 (16 enodes) 49.202 * * [simplify]: iters left: 5 (65 enodes) 49.224 * * [simplify]: iters left: 4 (106 enodes) 49.242 * * [simplify]: iters left: 3 (178 enodes) 49.294 * * [simplify]: iters left: 2 (339 enodes) 49.421 * * [simplify]: Extracting #0: cost 1 inf + 0 49.421 * * [simplify]: Extracting #1: cost 30 inf + 0 49.421 * * [simplify]: Extracting #2: cost 73 inf + 0 49.421 * * [simplify]: Extracting #3: cost 124 inf + 44 49.422 * * [simplify]: Extracting #4: cost 140 inf + 502 49.423 * * [simplify]: Extracting #5: cost 152 inf + 4758 49.426 * * [simplify]: Extracting #6: cost 119 inf + 15205 49.434 * * [simplify]: Extracting #7: cost 36 inf + 72570 49.448 * * [simplify]: Extracting #8: cost 0 inf + 107348 49.461 * * [simplify]: Extracting #9: cost 0 inf + 106695 49.475 * [simplify]: Simplified to (/ (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (* 1/2 (- 1 (sqrt k)))) (sqrt k)) 49.475 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt 1)) (/ (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (* 1/2 (- 1 (sqrt k)))) (sqrt k)))) 49.475 * * * * [progress]: [ 140 / 209 ] simplifiying candidate # 49.475 * [simplify]: Simplifying (/ (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 49.475 * * [simplify]: iters left: 6 (17 enodes) 49.480 * * [simplify]: iters left: 5 (68 enodes) 49.494 * * [simplify]: iters left: 4 (109 enodes) 49.517 * * [simplify]: iters left: 3 (180 enodes) 49.579 * * [simplify]: iters left: 2 (344 enodes) 49.669 * * [simplify]: Extracting #0: cost 1 inf + 0 49.669 * * [simplify]: Extracting #1: cost 30 inf + 0 49.669 * * [simplify]: Extracting #2: cost 72 inf + 0 49.669 * * [simplify]: Extracting #3: cost 130 inf + 2 49.670 * * [simplify]: Extracting #4: cost 150 inf + 52 49.671 * * [simplify]: Extracting #5: cost 163 inf + 4103 49.673 * * [simplify]: Extracting #6: cost 126 inf + 12527 49.681 * * [simplify]: Extracting #7: cost 51 inf + 64883 49.711 * * [simplify]: Extracting #8: cost 3 inf + 106558 49.739 * * [simplify]: Extracting #9: cost 0 inf + 108246 49.767 * * [simplify]: Extracting #10: cost 0 inf + 108116 49.795 * [simplify]: Simplified to (/ (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 49.795 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) (/ (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))))) 49.795 * [simplify]: Simplifying (/ (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 49.795 * * [simplify]: iters left: 6 (17 enodes) 49.804 * * [simplify]: iters left: 5 (68 enodes) 49.826 * * [simplify]: iters left: 4 (109 enodes) 49.848 * * [simplify]: iters left: 3 (180 enodes) 49.908 * * [simplify]: iters left: 2 (344 enodes) 49.999 * * [simplify]: Extracting #0: cost 1 inf + 0 49.999 * * [simplify]: Extracting #1: cost 30 inf + 0 50.000 * * [simplify]: Extracting #2: cost 72 inf + 0 50.000 * * [simplify]: Extracting #3: cost 130 inf + 2 50.001 * * [simplify]: Extracting #4: cost 150 inf + 52 50.004 * * [simplify]: Extracting #5: cost 163 inf + 4103 50.009 * * [simplify]: Extracting #6: cost 126 inf + 12527 50.023 * * [simplify]: Extracting #7: cost 51 inf + 64883 50.040 * * [simplify]: Extracting #8: cost 3 inf + 106558 50.054 * * [simplify]: Extracting #9: cost 0 inf + 108246 50.070 * * [simplify]: Extracting #10: cost 0 inf + 108116 50.085 * [simplify]: Simplified to (/ (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 50.085 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) (/ (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))))) 50.085 * * * * [progress]: [ 141 / 209 ] simplifiying candidate # 50.085 * [simplify]: Simplifying (/ (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) 1) 50.085 * * [simplify]: iters left: 6 (16 enodes) 50.090 * * [simplify]: iters left: 5 (63 enodes) 50.100 * * [simplify]: iters left: 4 (104 enodes) 50.118 * * [simplify]: iters left: 3 (175 enodes) 50.183 * * [simplify]: iters left: 2 (340 enodes) 50.284 * * [simplify]: Extracting #0: cost 1 inf + 0 50.285 * * [simplify]: Extracting #1: cost 32 inf + 0 50.285 * * [simplify]: Extracting #2: cost 92 inf + 2 50.285 * * [simplify]: Extracting #3: cost 146 inf + 6 50.286 * * [simplify]: Extracting #4: cost 188 inf + 11 50.287 * * [simplify]: Extracting #5: cost 165 inf + 5041 50.290 * * [simplify]: Extracting #6: cost 89 inf + 27580 50.300 * * [simplify]: Extracting #7: cost 11 inf + 90919 50.314 * * [simplify]: Extracting #8: cost 0 inf + 100859 50.326 * [simplify]: Simplified to (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) 50.327 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (/ (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt k)))) 50.327 * [simplify]: Simplifying (/ (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (sqrt k)) 50.327 * * [simplify]: iters left: 6 (16 enodes) 50.332 * * [simplify]: iters left: 5 (65 enodes) 50.343 * * [simplify]: iters left: 4 (106 enodes) 50.382 * * [simplify]: iters left: 3 (178 enodes) 50.422 * * [simplify]: iters left: 2 (339 enodes) 50.530 * * [simplify]: Extracting #0: cost 1 inf + 0 50.531 * * [simplify]: Extracting #1: cost 30 inf + 0 50.531 * * [simplify]: Extracting #2: cost 73 inf + 0 50.531 * * [simplify]: Extracting #3: cost 124 inf + 44 50.532 * * [simplify]: Extracting #4: cost 140 inf + 502 50.533 * * [simplify]: Extracting #5: cost 152 inf + 4758 50.536 * * [simplify]: Extracting #6: cost 119 inf + 15205 50.544 * * [simplify]: Extracting #7: cost 36 inf + 72570 50.564 * * [simplify]: Extracting #8: cost 0 inf + 107348 50.591 * * [simplify]: Extracting #9: cost 0 inf + 106695 50.623 * [simplify]: Simplified to (/ (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (* 1/2 (- 1 (sqrt k)))) (sqrt k)) 50.623 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) 1) (/ (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (* 1/2 (- 1 (sqrt k)))) (sqrt k)))) 50.623 * * * * [progress]: [ 142 / 209 ] simplifiying candidate # 50.624 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 (sqrt k)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 50.624 * * [simplify]: iters left: 6 (10 enodes) 50.630 * * [simplify]: iters left: 5 (38 enodes) 50.641 * * [simplify]: iters left: 4 (51 enodes) 50.655 * * [simplify]: iters left: 3 (53 enodes) 50.669 * * [simplify]: Extracting #0: cost 1 inf + 0 50.669 * * [simplify]: Extracting #1: cost 7 inf + 0 50.669 * * [simplify]: Extracting #2: cost 11 inf + 1 50.669 * * [simplify]: Extracting #3: cost 13 inf + 1 50.669 * * [simplify]: Extracting #4: cost 12 inf + 2 50.669 * * [simplify]: Extracting #5: cost 8 inf + 367 50.670 * * [simplify]: Extracting #6: cost 2 inf + 1336 50.670 * * [simplify]: Extracting #7: cost 0 inf + 1700 50.671 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 50.671 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (cbrt (sqrt k))))) 50.671 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (cbrt (sqrt k))) 50.671 * * [simplify]: iters left: 6 (16 enodes) 50.680 * * [simplify]: iters left: 5 (65 enodes) 50.700 * * [simplify]: iters left: 4 (105 enodes) 50.722 * * [simplify]: iters left: 3 (176 enodes) 50.769 * * [simplify]: iters left: 2 (340 enodes) 50.859 * * [simplify]: Extracting #0: cost 1 inf + 0 50.860 * * [simplify]: Extracting #1: cost 30 inf + 0 50.860 * * [simplify]: Extracting #2: cost 73 inf + 0 50.861 * * [simplify]: Extracting #3: cost 138 inf + 2 50.862 * * [simplify]: Extracting #4: cost 179 inf + 134 50.864 * * [simplify]: Extracting #5: cost 160 inf + 7475 50.874 * * [simplify]: Extracting #6: cost 70 inf + 42522 50.896 * * [simplify]: Extracting #7: cost 13 inf + 94602 50.917 * * [simplify]: Extracting #8: cost 0 inf + 106896 50.930 * * [simplify]: Extracting #9: cost 0 inf + 105685 50.961 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (cbrt (sqrt k))) 50.961 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (cbrt (sqrt k))))) 50.961 * * * * [progress]: [ 143 / 209 ] simplifiying candidate # 50.962 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 (sqrt k)) 2)) (sqrt (* (cbrt k) (cbrt k)))) 50.962 * * [simplify]: iters left: 6 (11 enodes) 50.965 * * [simplify]: iters left: 5 (40 enodes) 50.971 * * [simplify]: iters left: 4 (49 enodes) 50.978 * * [simplify]: Extracting #0: cost 1 inf + 0 50.978 * * [simplify]: Extracting #1: cost 4 inf + 0 50.978 * * [simplify]: Extracting #2: cost 6 inf + 1 50.978 * * [simplify]: Extracting #3: cost 9 inf + 1 50.978 * * [simplify]: Extracting #4: cost 2 inf + 689 50.979 * * [simplify]: Extracting #5: cost 0 inf + 972 50.979 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 50.979 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (cbrt k))))) 50.979 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (cbrt k))) 50.979 * * [simplify]: iters left: 6 (17 enodes) 50.983 * * [simplify]: iters left: 5 (68 enodes) 50.997 * * [simplify]: iters left: 4 (108 enodes) 51.029 * * [simplify]: iters left: 3 (179 enodes) 51.071 * * [simplify]: iters left: 2 (343 enodes) 51.166 * * [simplify]: Extracting #0: cost 1 inf + 0 51.166 * * [simplify]: Extracting #1: cost 30 inf + 0 51.166 * * [simplify]: Extracting #2: cost 72 inf + 0 51.166 * * [simplify]: Extracting #3: cost 139 inf + 2 51.167 * * [simplify]: Extracting #4: cost 184 inf + 11 51.168 * * [simplify]: Extracting #5: cost 178 inf + 3928 51.171 * * [simplify]: Extracting #6: cost 106 inf + 18913 51.181 * * [simplify]: Extracting #7: cost 34 inf + 72000 51.207 * * [simplify]: Extracting #8: cost 0 inf + 107491 51.222 * * [simplify]: Extracting #9: cost 0 inf + 106969 51.236 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (* 1/2 (- 1 (sqrt k)))) (sqrt (cbrt k))) 51.236 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (* 1/2 (- 1 (sqrt k)))) (sqrt (cbrt k))))) 51.236 * * * * [progress]: [ 144 / 209 ] simplifiying candidate # 51.236 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 51.236 * * [simplify]: iters left: 6 (9 enodes) 51.240 * * [simplify]: iters left: 5 (33 enodes) 51.251 * * [simplify]: iters left: 4 (42 enodes) 51.263 * * [simplify]: Extracting #0: cost 1 inf + 0 51.263 * * [simplify]: Extracting #1: cost 4 inf + 0 51.263 * * [simplify]: Extracting #2: cost 5 inf + 1 51.263 * * [simplify]: Extracting #3: cost 7 inf + 1 51.263 * * [simplify]: Extracting #4: cost 0 inf + 490 51.263 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 51.263 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))))) 51.264 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 51.264 * * [simplify]: iters left: 6 (16 enodes) 51.275 * * [simplify]: iters left: 5 (65 enodes) 51.295 * * [simplify]: iters left: 4 (105 enodes) 51.328 * * [simplify]: iters left: 3 (176 enodes) 51.363 * * [simplify]: iters left: 2 (340 enodes) 51.466 * * [simplify]: Extracting #0: cost 1 inf + 0 51.466 * * [simplify]: Extracting #1: cost 30 inf + 0 51.466 * * [simplify]: Extracting #2: cost 73 inf + 0 51.466 * * [simplify]: Extracting #3: cost 138 inf + 2 51.467 * * [simplify]: Extracting #4: cost 179 inf + 134 51.468 * * [simplify]: Extracting #5: cost 160 inf + 7395 51.473 * * [simplify]: Extracting #6: cost 70 inf + 42122 51.488 * * [simplify]: Extracting #7: cost 13 inf + 93402 51.509 * * [simplify]: Extracting #8: cost 0 inf + 105416 51.536 * * [simplify]: Extracting #9: cost 0 inf + 104205 51.563 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 51.563 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))))) 51.563 * * * * [progress]: [ 145 / 209 ] simplifiying candidate # 51.564 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 (sqrt k)) 2)) (sqrt 1)) 51.564 * * [simplify]: iters left: 6 (9 enodes) 51.572 * * [simplify]: iters left: 5 (33 enodes) 51.577 * * [simplify]: iters left: 4 (42 enodes) 51.583 * * [simplify]: Extracting #0: cost 1 inf + 0 51.583 * * [simplify]: Extracting #1: cost 0 inf + 1 51.583 * [simplify]: Simplified to 1 51.583 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k)))) 51.583 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k)) 51.583 * * [simplify]: iters left: 6 (15 enodes) 51.588 * * [simplify]: iters left: 5 (62 enodes) 51.598 * * [simplify]: iters left: 4 (102 enodes) 51.634 * * [simplify]: iters left: 3 (174 enodes) 51.668 * * [simplify]: iters left: 2 (338 enodes) 51.777 * * [simplify]: Extracting #0: cost 1 inf + 0 51.777 * * [simplify]: Extracting #1: cost 30 inf + 0 51.778 * * [simplify]: Extracting #2: cost 73 inf + 0 51.778 * * [simplify]: Extracting #3: cost 132 inf + 44 51.779 * * [simplify]: Extracting #4: cost 174 inf + 461 51.783 * * [simplify]: Extracting #5: cost 146 inf + 9585 51.794 * * [simplify]: Extracting #6: cost 70 inf + 42795 51.817 * * [simplify]: Extracting #7: cost 9 inf + 94296 51.834 * * [simplify]: Extracting #8: cost 1 inf + 101598 51.850 * * [simplify]: Extracting #9: cost 0 inf + 102507 51.872 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2))) (sqrt k)) 51.872 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2))) (sqrt k)))) 51.872 * * * * [progress]: [ 146 / 209 ] simplifiying candidate # 51.872 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 51.872 * * [simplify]: iters left: 6 (9 enodes) 51.875 * * [simplify]: iters left: 5 (33 enodes) 51.880 * * [simplify]: iters left: 4 (42 enodes) 51.887 * * [simplify]: Extracting #0: cost 1 inf + 0 51.887 * * [simplify]: Extracting #1: cost 4 inf + 0 51.887 * * [simplify]: Extracting #2: cost 5 inf + 1 51.887 * * [simplify]: Extracting #3: cost 7 inf + 1 51.887 * * [simplify]: Extracting #4: cost 0 inf + 490 51.888 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 51.888 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))))) 51.888 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 51.888 * * [simplify]: iters left: 6 (16 enodes) 51.897 * * [simplify]: iters left: 5 (65 enodes) 51.917 * * [simplify]: iters left: 4 (105 enodes) 51.950 * * [simplify]: iters left: 3 (176 enodes) 51.999 * * [simplify]: iters left: 2 (340 enodes) 52.102 * * [simplify]: Extracting #0: cost 1 inf + 0 52.102 * * [simplify]: Extracting #1: cost 30 inf + 0 52.102 * * [simplify]: Extracting #2: cost 73 inf + 0 52.103 * * [simplify]: Extracting #3: cost 138 inf + 2 52.103 * * [simplify]: Extracting #4: cost 179 inf + 134 52.105 * * [simplify]: Extracting #5: cost 160 inf + 7395 52.109 * * [simplify]: Extracting #6: cost 70 inf + 42122 52.123 * * [simplify]: Extracting #7: cost 13 inf + 93402 52.150 * * [simplify]: Extracting #8: cost 0 inf + 105416 52.177 * * [simplify]: Extracting #9: cost 0 inf + 104205 52.200 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 52.201 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))))) 52.201 * * * * [progress]: [ 147 / 209 ] simplifiying candidate # 52.201 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 (sqrt k)) 2)) 1) 52.201 * * [simplify]: iters left: 6 (8 enodes) 52.207 * * [simplify]: iters left: 5 (28 enodes) 52.211 * * [simplify]: iters left: 4 (37 enodes) 52.216 * * [simplify]: Extracting #0: cost 1 inf + 0 52.216 * * [simplify]: Extracting #1: cost 0 inf + 1 52.216 * [simplify]: Simplified to 1 52.217 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k)))) 52.217 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k)) 52.217 * * [simplify]: iters left: 6 (15 enodes) 52.221 * * [simplify]: iters left: 5 (62 enodes) 52.232 * * [simplify]: iters left: 4 (102 enodes) 52.265 * * [simplify]: iters left: 3 (174 enodes) 52.320 * * [simplify]: iters left: 2 (338 enodes) 52.408 * * [simplify]: Extracting #0: cost 1 inf + 0 52.408 * * [simplify]: Extracting #1: cost 30 inf + 0 52.408 * * [simplify]: Extracting #2: cost 73 inf + 0 52.409 * * [simplify]: Extracting #3: cost 132 inf + 44 52.409 * * [simplify]: Extracting #4: cost 174 inf + 461 52.414 * * [simplify]: Extracting #5: cost 146 inf + 9585 52.419 * * [simplify]: Extracting #6: cost 70 inf + 42795 52.438 * * [simplify]: Extracting #7: cost 9 inf + 94296 52.464 * * [simplify]: Extracting #8: cost 1 inf + 101598 52.477 * * [simplify]: Extracting #9: cost 0 inf + 102507 52.490 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2))) (sqrt k)) 52.490 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2))) (sqrt k)))) 52.490 * * * * [progress]: [ 148 / 209 ] simplifiying candidate # 52.491 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 52.491 * * [simplify]: iters left: 6 (18 enodes) 52.496 * * [simplify]: iters left: 5 (75 enodes) 52.507 * * [simplify]: iters left: 4 (122 enodes) 52.537 * * [simplify]: iters left: 3 (210 enodes) 52.589 * * [simplify]: iters left: 2 (428 enodes) 52.694 * * [simplify]: Extracting #0: cost 1 inf + 0 52.694 * * [simplify]: Extracting #1: cost 56 inf + 0 52.695 * * [simplify]: Extracting #2: cost 150 inf + 0 52.696 * * [simplify]: Extracting #3: cost 226 inf + 2 52.698 * * [simplify]: Extracting #4: cost 256 inf + 1560 52.702 * * [simplify]: Extracting #5: cost 241 inf + 6598 52.710 * * [simplify]: Extracting #6: cost 188 inf + 24291 52.734 * * [simplify]: Extracting #7: cost 57 inf + 140743 52.760 * * [simplify]: Extracting #8: cost 5 inf + 194214 52.792 * * [simplify]: Extracting #9: cost 0 inf + 199379 52.819 * [simplify]: Simplified to (/ (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) 2)) (/ (- 1 (sqrt k)) 2)) (cbrt (sqrt k))) (cbrt (sqrt k))) 52.819 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) 2)) (/ (- 1 (sqrt k)) 2)) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) (cbrt (sqrt k))))) 52.819 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) (cbrt (sqrt k))) 52.819 * * [simplify]: iters left: 6 (17 enodes) 52.824 * * [simplify]: iters left: 5 (70 enodes) 52.835 * * [simplify]: iters left: 4 (111 enodes) 52.853 * * [simplify]: iters left: 3 (186 enodes) 52.899 * * [simplify]: iters left: 2 (356 enodes) 52.995 * * [simplify]: Extracting #0: cost 1 inf + 0 52.996 * * [simplify]: Extracting #1: cost 30 inf + 0 52.996 * * [simplify]: Extracting #2: cost 75 inf + 0 52.996 * * [simplify]: Extracting #3: cost 137 inf + 2 52.997 * * [simplify]: Extracting #4: cost 183 inf + 52 52.998 * * [simplify]: Extracting #5: cost 180 inf + 3870 53.003 * * [simplify]: Extracting #6: cost 91 inf + 30120 53.014 * * [simplify]: Extracting #7: cost 27 inf + 81972 53.030 * * [simplify]: Extracting #8: cost 1 inf + 109201 53.058 * * [simplify]: Extracting #9: cost 0 inf + 109584 53.075 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (* 1/2 (+ 1 (sqrt k)))) (* 1/2 (- 1 (sqrt k)))) (cbrt (sqrt k))) 53.075 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (pow (* (* PI 2) n) (* 1/2 (+ 1 (sqrt k)))) (* 1/2 (- 1 (sqrt k)))) (cbrt (sqrt k))))) 53.075 * * * * [progress]: [ 149 / 209 ] simplifiying candidate # 53.076 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) (sqrt (* (cbrt k) (cbrt k)))) 53.076 * * [simplify]: iters left: 6 (19 enodes) 53.084 * * [simplify]: iters left: 5 (77 enodes) 53.096 * * [simplify]: iters left: 4 (118 enodes) 53.122 * * [simplify]: iters left: 3 (188 enodes) 53.184 * * [simplify]: iters left: 2 (355 enodes) 53.284 * * [simplify]: Extracting #0: cost 1 inf + 0 53.284 * * [simplify]: Extracting #1: cost 30 inf + 0 53.284 * * [simplify]: Extracting #2: cost 73 inf + 0 53.284 * * [simplify]: Extracting #3: cost 136 inf + 2 53.285 * * [simplify]: Extracting #4: cost 179 inf + 11 53.286 * * [simplify]: Extracting #5: cost 187 inf + 1655 53.288 * * [simplify]: Extracting #6: cost 129 inf + 13582 53.297 * * [simplify]: Extracting #7: cost 44 inf + 64558 53.316 * * [simplify]: Extracting #8: cost 0 inf + 108969 53.343 * * [simplify]: Extracting #9: cost 0 inf + 108181 53.368 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) 2)) (/ (- 1 (sqrt k)) 2)) (fabs (cbrt k))) 53.368 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) 2)) (/ (- 1 (sqrt k)) 2)) (fabs (cbrt k))) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) (sqrt (cbrt k))))) 53.368 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) (sqrt (cbrt k))) 53.369 * * [simplify]: iters left: 6 (18 enodes) 53.376 * * [simplify]: iters left: 5 (73 enodes) 53.387 * * [simplify]: iters left: 4 (114 enodes) 53.408 * * [simplify]: iters left: 3 (184 enodes) 53.450 * * [simplify]: iters left: 2 (351 enodes) 53.545 * * [simplify]: Extracting #0: cost 1 inf + 0 53.546 * * [simplify]: Extracting #1: cost 30 inf + 0 53.546 * * [simplify]: Extracting #2: cost 74 inf + 0 53.547 * * [simplify]: Extracting #3: cost 134 inf + 2 53.547 * * [simplify]: Extracting #4: cost 178 inf + 11 53.549 * * [simplify]: Extracting #5: cost 175 inf + 3248 53.555 * * [simplify]: Extracting #6: cost 117 inf + 16210 53.571 * * [simplify]: Extracting #7: cost 29 inf + 93541 53.594 * * [simplify]: Extracting #8: cost 0 inf + 118314 53.619 * * [simplify]: Extracting #9: cost 0 inf + 110000 53.643 * * [simplify]: Extracting #10: cost 0 inf + 109447 53.666 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (* 1/2 (+ 1 (sqrt k)))) (* 1/2 (- 1 (sqrt k)))) (sqrt (cbrt k))) 53.666 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (pow (* (* PI 2) n) (* 1/2 (+ 1 (sqrt k)))) (* 1/2 (- 1 (sqrt k)))) (sqrt (cbrt k))))) 53.666 * * * * [progress]: [ 150 / 209 ] simplifiying candidate # 53.666 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 53.666 * * [simplify]: iters left: 6 (17 enodes) 53.671 * * [simplify]: iters left: 5 (70 enodes) 53.681 * * [simplify]: iters left: 4 (111 enodes) 53.710 * * [simplify]: iters left: 3 (186 enodes) 53.766 * * [simplify]: iters left: 2 (356 enodes) 53.860 * * [simplify]: Extracting #0: cost 1 inf + 0 53.860 * * [simplify]: Extracting #1: cost 30 inf + 0 53.860 * * [simplify]: Extracting #2: cost 75 inf + 0 53.861 * * [simplify]: Extracting #3: cost 137 inf + 2 53.861 * * [simplify]: Extracting #4: cost 183 inf + 52 53.862 * * [simplify]: Extracting #5: cost 180 inf + 3830 53.867 * * [simplify]: Extracting #6: cost 91 inf + 30000 53.882 * * [simplify]: Extracting #7: cost 27 inf + 81212 53.905 * * [simplify]: Extracting #8: cost 1 inf + 107761 53.927 * * [simplify]: Extracting #9: cost 0 inf + 108104 53.955 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (* 1/2 (+ 1 (sqrt k)))) (* 1/2 (- 1 (sqrt k)))) (sqrt (sqrt k))) 53.955 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (* 1/2 (+ 1 (sqrt k)))) (* 1/2 (- 1 (sqrt k)))) (sqrt (sqrt k))) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))))) 53.955 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 53.956 * * [simplify]: iters left: 6 (17 enodes) 53.964 * * [simplify]: iters left: 5 (70 enodes) 53.982 * * [simplify]: iters left: 4 (111 enodes) 54.013 * * [simplify]: iters left: 3 (186 enodes) 54.057 * * [simplify]: iters left: 2 (356 enodes) 54.149 * * [simplify]: Extracting #0: cost 1 inf + 0 54.149 * * [simplify]: Extracting #1: cost 30 inf + 0 54.149 * * [simplify]: Extracting #2: cost 75 inf + 0 54.150 * * [simplify]: Extracting #3: cost 137 inf + 2 54.150 * * [simplify]: Extracting #4: cost 183 inf + 52 54.153 * * [simplify]: Extracting #5: cost 180 inf + 3830 54.158 * * [simplify]: Extracting #6: cost 91 inf + 30000 54.168 * * [simplify]: Extracting #7: cost 27 inf + 81212 54.186 * * [simplify]: Extracting #8: cost 1 inf + 107761 54.201 * * [simplify]: Extracting #9: cost 0 inf + 108104 54.219 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (* 1/2 (+ 1 (sqrt k)))) (* 1/2 (- 1 (sqrt k)))) (sqrt (sqrt k))) 54.219 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) (/ (pow (pow (* (* PI 2) n) (* 1/2 (+ 1 (sqrt k)))) (* 1/2 (- 1 (sqrt k)))) (sqrt (sqrt k))))) 54.220 * * * * [progress]: [ 151 / 209 ] simplifiying candidate # 54.220 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) (sqrt 1)) 54.220 * * [simplify]: iters left: 6 (17 enodes) 54.229 * * [simplify]: iters left: 5 (70 enodes) 54.245 * * [simplify]: iters left: 4 (109 enodes) 54.264 * * [simplify]: iters left: 3 (180 enodes) 54.311 * * [simplify]: iters left: 2 (343 enodes) 54.399 * * [simplify]: Extracting #0: cost 1 inf + 0 54.399 * * [simplify]: Extracting #1: cost 21 inf + 0 54.399 * * [simplify]: Extracting #2: cost 81 inf + 2 54.400 * * [simplify]: Extracting #3: cost 150 inf + 6 54.401 * * [simplify]: Extracting #4: cost 173 inf + 220 54.403 * * [simplify]: Extracting #5: cost 155 inf + 2233 54.407 * * [simplify]: Extracting #6: cost 106 inf + 8373 54.416 * * [simplify]: Extracting #7: cost 50 inf + 33706 54.435 * * [simplify]: Extracting #8: cost 7 inf + 69560 54.456 * * [simplify]: Extracting #9: cost 0 inf + 76892 54.470 * [simplify]: Simplified to (pow (pow (* (* PI 2) n) (* 1/2 (+ 1 (sqrt k)))) (* 1/2 (- 1 (sqrt k)))) 54.470 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) (* 1/2 (+ 1 (sqrt k)))) (* 1/2 (- 1 (sqrt k)))) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) (sqrt k)))) 54.471 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) (sqrt k)) 54.471 * * [simplify]: iters left: 6 (16 enodes) 54.476 * * [simplify]: iters left: 5 (67 enodes) 54.487 * * [simplify]: iters left: 4 (112 enodes) 54.518 * * [simplify]: iters left: 3 (187 enodes) 54.554 * * [simplify]: iters left: 2 (340 enodes) 54.661 * * [simplify]: Extracting #0: cost 1 inf + 0 54.661 * * [simplify]: Extracting #1: cost 30 inf + 0 54.661 * * [simplify]: Extracting #2: cost 74 inf + 0 54.662 * * [simplify]: Extracting #3: cost 129 inf + 85 54.663 * * [simplify]: Extracting #4: cost 171 inf + 625 54.665 * * [simplify]: Extracting #5: cost 172 inf + 3495 54.674 * * [simplify]: Extracting #6: cost 128 inf + 10516 54.681 * * [simplify]: Extracting #7: cost 91 inf + 25563 54.695 * * [simplify]: Extracting #8: cost 42 inf + 68008 54.708 * * [simplify]: Extracting #9: cost 2 inf + 109543 54.722 * * [simplify]: Extracting #10: cost 0 inf + 110497 54.751 * * [simplify]: Extracting #11: cost 0 inf + 110245 54.775 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (* 1/2 (+ 1 (sqrt k)))) (- 1/2 (/ (sqrt k) 2))) (sqrt k)) 54.775 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) (sqrt 1)) (/ (pow (pow (* (* PI 2) n) (* 1/2 (+ 1 (sqrt k)))) (- 1/2 (/ (sqrt k) 2))) (sqrt k)))) 54.775 * * * * [progress]: [ 152 / 209 ] simplifiying candidate # 54.775 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 54.775 * * [simplify]: iters left: 6 (17 enodes) 54.780 * * [simplify]: iters left: 5 (70 enodes) 54.793 * * [simplify]: iters left: 4 (111 enodes) 54.821 * * [simplify]: iters left: 3 (186 enodes) 54.877 * * [simplify]: iters left: 2 (356 enodes) 54.963 * * [simplify]: Extracting #0: cost 1 inf + 0 54.963 * * [simplify]: Extracting #1: cost 30 inf + 0 54.963 * * [simplify]: Extracting #2: cost 75 inf + 0 54.964 * * [simplify]: Extracting #3: cost 137 inf + 2 54.965 * * [simplify]: Extracting #4: cost 183 inf + 52 54.967 * * [simplify]: Extracting #5: cost 180 inf + 3830 54.976 * * [simplify]: Extracting #6: cost 91 inf + 30000 55.000 * * [simplify]: Extracting #7: cost 27 inf + 81212 55.028 * * [simplify]: Extracting #8: cost 1 inf + 107761 55.057 * * [simplify]: Extracting #9: cost 0 inf + 108104 55.074 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (* 1/2 (+ 1 (sqrt k)))) (* 1/2 (- 1 (sqrt k)))) (sqrt (sqrt k))) 55.074 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (* 1/2 (+ 1 (sqrt k)))) (* 1/2 (- 1 (sqrt k)))) (sqrt (sqrt k))) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))))) 55.074 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 55.075 * * [simplify]: iters left: 6 (17 enodes) 55.080 * * [simplify]: iters left: 5 (70 enodes) 55.091 * * [simplify]: iters left: 4 (111 enodes) 55.113 * * [simplify]: iters left: 3 (186 enodes) 55.167 * * [simplify]: iters left: 2 (356 enodes) 55.245 * * [simplify]: Extracting #0: cost 1 inf + 0 55.245 * * [simplify]: Extracting #1: cost 30 inf + 0 55.245 * * [simplify]: Extracting #2: cost 75 inf + 0 55.246 * * [simplify]: Extracting #3: cost 137 inf + 2 55.247 * * [simplify]: Extracting #4: cost 183 inf + 52 55.249 * * [simplify]: Extracting #5: cost 180 inf + 3830 55.258 * * [simplify]: Extracting #6: cost 91 inf + 30000 55.278 * * [simplify]: Extracting #7: cost 27 inf + 81212 55.307 * * [simplify]: Extracting #8: cost 1 inf + 107761 55.340 * * [simplify]: Extracting #9: cost 0 inf + 108104 55.356 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (* 1/2 (+ 1 (sqrt k)))) (* 1/2 (- 1 (sqrt k)))) (sqrt (sqrt k))) 55.356 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) (/ (pow (pow (* (* PI 2) n) (* 1/2 (+ 1 (sqrt k)))) (* 1/2 (- 1 (sqrt k)))) (sqrt (sqrt k))))) 55.356 * * * * [progress]: [ 153 / 209 ] simplifiying candidate # 55.357 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) 1) 55.357 * * [simplify]: iters left: 6 (16 enodes) 55.361 * * [simplify]: iters left: 5 (65 enodes) 55.372 * * [simplify]: iters left: 4 (110 enodes) 55.390 * * [simplify]: iters left: 3 (185 enodes) 55.425 * * [simplify]: iters left: 2 (346 enodes) 55.548 * * [simplify]: Extracting #0: cost 1 inf + 0 55.548 * * [simplify]: Extracting #1: cost 33 inf + 0 55.548 * * [simplify]: Extracting #2: cost 98 inf + 2 55.549 * * [simplify]: Extracting #3: cost 172 inf + 5 55.550 * * [simplify]: Extracting #4: cost 193 inf + 220 55.552 * * [simplify]: Extracting #5: cost 180 inf + 1697 55.556 * * [simplify]: Extracting #6: cost 129 inf + 8123 55.563 * * [simplify]: Extracting #7: cost 83 inf + 27033 55.574 * * [simplify]: Extracting #8: cost 21 inf + 81608 55.587 * * [simplify]: Extracting #9: cost 0 inf + 104743 55.601 * * [simplify]: Extracting #10: cost 0 inf + 104095 55.618 * [simplify]: Simplified to (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) 2)) (/ (- 1 (sqrt k)) 2)) 55.618 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) 2)) (/ (- 1 (sqrt k)) 2)) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) (sqrt k)))) 55.619 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) (sqrt k)) 55.619 * * [simplify]: iters left: 6 (16 enodes) 55.628 * * [simplify]: iters left: 5 (67 enodes) 55.651 * * [simplify]: iters left: 4 (112 enodes) 55.686 * * [simplify]: iters left: 3 (187 enodes) 55.743 * * [simplify]: iters left: 2 (340 enodes) 55.866 * * [simplify]: Extracting #0: cost 1 inf + 0 55.866 * * [simplify]: Extracting #1: cost 30 inf + 0 55.866 * * [simplify]: Extracting #2: cost 74 inf + 0 55.867 * * [simplify]: Extracting #3: cost 129 inf + 85 55.867 * * [simplify]: Extracting #4: cost 171 inf + 625 55.869 * * [simplify]: Extracting #5: cost 172 inf + 3495 55.871 * * [simplify]: Extracting #6: cost 128 inf + 10516 55.875 * * [simplify]: Extracting #7: cost 91 inf + 25563 55.883 * * [simplify]: Extracting #8: cost 42 inf + 68008 55.898 * * [simplify]: Extracting #9: cost 2 inf + 109543 55.918 * * [simplify]: Extracting #10: cost 0 inf + 110497 55.937 * * [simplify]: Extracting #11: cost 0 inf + 110245 55.962 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (* 1/2 (+ 1 (sqrt k)))) (- 1/2 (/ (sqrt k) 2))) (sqrt k)) 55.962 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) 1) (/ (pow (pow (* (* PI 2) n) (* 1/2 (+ 1 (sqrt k)))) (- 1/2 (/ (sqrt k) 2))) (sqrt k)))) 55.962 * * * * [progress]: [ 154 / 209 ] simplifiying candidate # 55.962 * [simplify]: Simplifying (/ (* (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 55.963 * * [simplify]: iters left: 6 (19 enodes) 55.970 * * [simplify]: iters left: 5 (80 enodes) 55.983 * * [simplify]: iters left: 4 (133 enodes) 56.007 * * [simplify]: iters left: 3 (202 enodes) 56.049 * * [simplify]: iters left: 2 (348 enodes) 56.117 * * [simplify]: Extracting #0: cost 1 inf + 0 56.117 * * [simplify]: Extracting #1: cost 11 inf + 0 56.118 * * [simplify]: Extracting #2: cost 22 inf + 0 56.118 * * [simplify]: Extracting #3: cost 36 inf + 0 56.118 * * [simplify]: Extracting #4: cost 84 inf + 205 56.118 * * [simplify]: Extracting #5: cost 154 inf + 573 56.120 * * [simplify]: Extracting #6: cost 134 inf + 5531 56.123 * * [simplify]: Extracting #7: cost 81 inf + 18923 56.129 * * [simplify]: Extracting #8: cost 32 inf + 51190 56.138 * * [simplify]: Extracting #9: cost 2 inf + 77571 56.150 * * [simplify]: Extracting #10: cost 0 inf + 79775 56.164 * [simplify]: Simplified to (* (/ (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (cbrt (sqrt k)))) 56.164 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (cbrt (sqrt k)))) (/ (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (sqrt k))))) 56.165 * [simplify]: Simplifying (/ (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (sqrt k))) 56.165 * * [simplify]: iters left: 6 (17 enodes) 56.169 * * [simplify]: iters left: 5 (68 enodes) 56.180 * * [simplify]: iters left: 4 (106 enodes) 56.210 * * [simplify]: iters left: 3 (171 enodes) 56.264 * * [simplify]: iters left: 2 (319 enodes) 56.356 * * [simplify]: Extracting #0: cost 1 inf + 0 56.356 * * [simplify]: Extracting #1: cost 4 inf + 0 56.356 * * [simplify]: Extracting #2: cost 8 inf + 0 56.356 * * [simplify]: Extracting #3: cost 23 inf + 0 56.356 * * [simplify]: Extracting #4: cost 73 inf + 164 56.357 * * [simplify]: Extracting #5: cost 139 inf + 331 56.359 * * [simplify]: Extracting #6: cost 126 inf + 4475 56.366 * * [simplify]: Extracting #7: cost 52 inf + 28397 56.379 * * [simplify]: Extracting #8: cost 15 inf + 53129 56.398 * * [simplify]: Extracting #9: cost 0 inf + 64230 56.416 * * [simplify]: Extracting #10: cost 0 inf + 64099 56.427 * [simplify]: Simplified to (/ (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (cbrt (sqrt k))) 56.427 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (cbrt (sqrt k))))) 56.427 * * * * [progress]: [ 155 / 209 ] simplifiying candidate # 56.428 * [simplify]: Simplifying (/ (* (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) (sqrt (* (cbrt k) (cbrt k)))) 56.428 * * [simplify]: iters left: 6 (20 enodes) 56.433 * * [simplify]: iters left: 5 (80 enodes) 56.446 * * [simplify]: iters left: 4 (122 enodes) 56.465 * * [simplify]: iters left: 3 (187 enodes) 56.505 * * [simplify]: iters left: 2 (330 enodes) 56.591 * * [simplify]: Extracting #0: cost 1 inf + 0 56.591 * * [simplify]: Extracting #1: cost 7 inf + 0 56.591 * * [simplify]: Extracting #2: cost 15 inf + 0 56.591 * * [simplify]: Extracting #3: cost 30 inf + 0 56.592 * * [simplify]: Extracting #4: cost 78 inf + 164 56.592 * * [simplify]: Extracting #5: cost 145 inf + 531 56.594 * * [simplify]: Extracting #6: cost 159 inf + 1031 56.598 * * [simplify]: Extracting #7: cost 95 inf + 15249 56.608 * * [simplify]: Extracting #8: cost 38 inf + 40469 56.625 * * [simplify]: Extracting #9: cost 1 inf + 67739 56.643 * * [simplify]: Extracting #10: cost 0 inf + 68476 56.660 * [simplify]: Simplified to (/ (* (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2)))) (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2))))) (fabs (cbrt k))) 56.661 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2)))) (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2))))) (fabs (cbrt k))) (/ (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt (cbrt k))))) 56.661 * [simplify]: Simplifying (/ (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt (cbrt k))) 56.661 * * [simplify]: iters left: 6 (18 enodes) 56.670 * * [simplify]: iters left: 5 (71 enodes) 56.693 * * [simplify]: iters left: 4 (113 enodes) 56.726 * * [simplify]: iters left: 3 (173 enodes) 56.757 * * [simplify]: iters left: 2 (300 enodes) 56.819 * * [simplify]: Extracting #0: cost 1 inf + 0 56.819 * * [simplify]: Extracting #1: cost 4 inf + 0 56.819 * * [simplify]: Extracting #2: cost 8 inf + 0 56.819 * * [simplify]: Extracting #3: cost 23 inf + 0 56.820 * * [simplify]: Extracting #4: cost 67 inf + 406 56.820 * * [simplify]: Extracting #5: cost 136 inf + 410 56.821 * * [simplify]: Extracting #6: cost 150 inf + 871 56.823 * * [simplify]: Extracting #7: cost 86 inf + 17348 56.828 * * [simplify]: Extracting #8: cost 31 inf + 40309 56.839 * * [simplify]: Extracting #9: cost 7 inf + 57953 56.853 * * [simplify]: Extracting #10: cost 0 inf + 64442 56.868 * [simplify]: Simplified to (/ (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (sqrt (cbrt k))) 56.868 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (sqrt (cbrt k))))) 56.868 * * * * [progress]: [ 156 / 209 ] simplifiying candidate # 56.868 * [simplify]: Simplifying (/ (* (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) (sqrt (sqrt k))) 56.868 * * [simplify]: iters left: 6 (18 enodes) 56.876 * * [simplify]: iters left: 5 (73 enodes) 56.897 * * [simplify]: iters left: 4 (119 enodes) 56.932 * * [simplify]: iters left: 3 (182 enodes) 56.970 * * [simplify]: iters left: 2 (309 enodes) 57.051 * * [simplify]: Extracting #0: cost 1 inf + 0 57.051 * * [simplify]: Extracting #1: cost 7 inf + 0 57.051 * * [simplify]: Extracting #2: cost 14 inf + 0 57.051 * * [simplify]: Extracting #3: cost 29 inf + 0 57.052 * * [simplify]: Extracting #4: cost 79 inf + 43 57.052 * * [simplify]: Extracting #5: cost 147 inf + 251 57.055 * * [simplify]: Extracting #6: cost 127 inf + 5883 57.064 * * [simplify]: Extracting #7: cost 42 inf + 42555 57.080 * * [simplify]: Extracting #8: cost 4 inf + 71560 57.098 * * [simplify]: Extracting #9: cost 0 inf + 74695 57.108 * [simplify]: Simplified to (/ (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt (sqrt k)) (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))))) 57.109 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt (sqrt k)) (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))))) (/ (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt (sqrt k))))) 57.109 * [simplify]: Simplifying (/ (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt (sqrt k))) 57.109 * * [simplify]: iters left: 6 (17 enodes) 57.117 * * [simplify]: iters left: 5 (68 enodes) 57.133 * * [simplify]: iters left: 4 (106 enodes) 57.155 * * [simplify]: iters left: 3 (171 enodes) 57.212 * * [simplify]: iters left: 2 (319 enodes) 57.314 * * [simplify]: Extracting #0: cost 1 inf + 0 57.314 * * [simplify]: Extracting #1: cost 4 inf + 0 57.314 * * [simplify]: Extracting #2: cost 8 inf + 0 57.314 * * [simplify]: Extracting #3: cost 23 inf + 0 57.315 * * [simplify]: Extracting #4: cost 73 inf + 124 57.315 * * [simplify]: Extracting #5: cost 139 inf + 251 57.316 * * [simplify]: Extracting #6: cost 126 inf + 4395 57.320 * * [simplify]: Extracting #7: cost 52 inf + 28237 57.326 * * [simplify]: Extracting #8: cost 15 inf + 52969 57.336 * * [simplify]: Extracting #9: cost 0 inf + 64070 57.347 * * [simplify]: Extracting #10: cost 0 inf + 63939 57.355 * [simplify]: Simplified to (/ (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (sqrt (sqrt k))) 57.355 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) (sqrt (sqrt k))) (/ (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (sqrt (sqrt k))))) 57.355 * * * * [progress]: [ 157 / 209 ] simplifiying candidate # 57.356 * [simplify]: Simplifying (/ (* (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) (sqrt 1)) 57.356 * * [simplify]: iters left: 6 (18 enodes) 57.361 * * [simplify]: iters left: 5 (73 enodes) 57.373 * * [simplify]: iters left: 4 (119 enodes) 57.391 * * [simplify]: iters left: 3 (183 enodes) 57.424 * * [simplify]: iters left: 2 (311 enodes) 57.486 * * [simplify]: Extracting #0: cost 1 inf + 0 57.486 * * [simplify]: Extracting #1: cost 5 inf + 0 57.486 * * [simplify]: Extracting #2: cost 7 inf + 1 57.486 * * [simplify]: Extracting #3: cost 20 inf + 1 57.486 * * [simplify]: Extracting #4: cost 71 inf + 2 57.486 * * [simplify]: Extracting #5: cost 144 inf + 5 57.487 * * [simplify]: Extracting #6: cost 162 inf + 179 57.488 * * [simplify]: Extracting #7: cost 156 inf + 677 57.490 * * [simplify]: Extracting #8: cost 96 inf + 15358 57.497 * * [simplify]: Extracting #9: cost 37 inf + 40131 57.508 * * [simplify]: Extracting #10: cost 0 inf + 71069 57.517 * * [simplify]: Extracting #11: cost 0 inf + 70819 57.526 * [simplify]: Simplified to (* (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))) 57.526 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))) (/ (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt k)))) 57.527 * [simplify]: Simplifying (/ (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt k)) 57.527 * * [simplify]: iters left: 6 (16 enodes) 57.531 * * [simplify]: iters left: 5 (65 enodes) 57.542 * * [simplify]: iters left: 4 (103 enodes) 57.567 * * [simplify]: iters left: 3 (168 enodes) 57.619 * * [simplify]: iters left: 2 (313 enodes) 57.682 * * [simplify]: Extracting #0: cost 1 inf + 0 57.682 * * [simplify]: Extracting #1: cost 4 inf + 0 57.682 * * [simplify]: Extracting #2: cost 8 inf + 0 57.682 * * [simplify]: Extracting #3: cost 18 inf + 42 57.682 * * [simplify]: Extracting #4: cost 70 inf + 84 57.682 * * [simplify]: Extracting #5: cost 139 inf + 89 57.683 * * [simplify]: Extracting #6: cost 128 inf + 3824 57.687 * * [simplify]: Extracting #7: cost 55 inf + 27480 57.694 * * [simplify]: Extracting #8: cost 10 inf + 58809 57.703 * * [simplify]: Extracting #9: cost 0 inf + 65195 57.712 * [simplify]: Simplified to (/ (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (sqrt k)) 57.712 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) (sqrt 1)) (/ (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (sqrt k)))) 57.712 * * * * [progress]: [ 158 / 209 ] simplifiying candidate # 57.712 * [simplify]: Simplifying (/ (* (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) (sqrt (sqrt k))) 57.712 * * [simplify]: iters left: 6 (18 enodes) 57.717 * * [simplify]: iters left: 5 (73 enodes) 57.729 * * [simplify]: iters left: 4 (119 enodes) 57.751 * * [simplify]: iters left: 3 (182 enodes) 57.784 * * [simplify]: iters left: 2 (309 enodes) 57.860 * * [simplify]: Extracting #0: cost 1 inf + 0 57.860 * * [simplify]: Extracting #1: cost 7 inf + 0 57.860 * * [simplify]: Extracting #2: cost 14 inf + 0 57.860 * * [simplify]: Extracting #3: cost 29 inf + 0 57.861 * * [simplify]: Extracting #4: cost 79 inf + 43 57.861 * * [simplify]: Extracting #5: cost 147 inf + 251 57.864 * * [simplify]: Extracting #6: cost 127 inf + 5883 57.874 * * [simplify]: Extracting #7: cost 42 inf + 42555 57.890 * * [simplify]: Extracting #8: cost 4 inf + 71560 57.903 * * [simplify]: Extracting #9: cost 0 inf + 74695 57.913 * [simplify]: Simplified to (/ (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt (sqrt k)) (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))))) 57.913 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt (sqrt k)) (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))))) (/ (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt (sqrt k))))) 57.913 * [simplify]: Simplifying (/ (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt (sqrt k))) 57.913 * * [simplify]: iters left: 6 (17 enodes) 57.918 * * [simplify]: iters left: 5 (68 enodes) 57.931 * * [simplify]: iters left: 4 (106 enodes) 57.968 * * [simplify]: iters left: 3 (171 enodes) 58.013 * * [simplify]: iters left: 2 (319 enodes) 58.111 * * [simplify]: Extracting #0: cost 1 inf + 0 58.111 * * [simplify]: Extracting #1: cost 4 inf + 0 58.111 * * [simplify]: Extracting #2: cost 8 inf + 0 58.111 * * [simplify]: Extracting #3: cost 23 inf + 0 58.112 * * [simplify]: Extracting #4: cost 73 inf + 124 58.113 * * [simplify]: Extracting #5: cost 139 inf + 251 58.115 * * [simplify]: Extracting #6: cost 126 inf + 4395 58.122 * * [simplify]: Extracting #7: cost 52 inf + 28237 58.135 * * [simplify]: Extracting #8: cost 15 inf + 52969 58.150 * * [simplify]: Extracting #9: cost 0 inf + 64070 58.167 * * [simplify]: Extracting #10: cost 0 inf + 63939 58.183 * [simplify]: Simplified to (/ (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (sqrt (sqrt k))) 58.183 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) (sqrt (sqrt k))) (/ (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (sqrt (sqrt k))))) 58.184 * * * * [progress]: [ 159 / 209 ] simplifiying candidate # 58.184 * [simplify]: Simplifying (/ (* (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 1) 58.184 * * [simplify]: iters left: 6 (17 enodes) 58.193 * * [simplify]: iters left: 5 (68 enodes) 58.219 * * [simplify]: iters left: 4 (114 enodes) 58.255 * * [simplify]: iters left: 3 (180 enodes) 58.310 * * [simplify]: iters left: 2 (325 enodes) 58.378 * * [simplify]: Extracting #0: cost 1 inf + 0 58.379 * * [simplify]: Extracting #1: cost 5 inf + 0 58.379 * * [simplify]: Extracting #2: cost 7 inf + 1 58.379 * * [simplify]: Extracting #3: cost 20 inf + 1 58.379 * * [simplify]: Extracting #4: cost 75 inf + 2 58.380 * * [simplify]: Extracting #5: cost 148 inf + 6 58.381 * * [simplify]: Extracting #6: cost 167 inf + 262 58.382 * * [simplify]: Extracting #7: cost 165 inf + 430 58.384 * * [simplify]: Extracting #8: cost 122 inf + 8832 58.392 * * [simplify]: Extracting #9: cost 49 inf + 35320 58.403 * * [simplify]: Extracting #10: cost 8 inf + 65386 58.414 * * [simplify]: Extracting #11: cost 0 inf + 71504 58.423 * [simplify]: Simplified to (* (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))) 58.423 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))) (/ (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt k)))) 58.423 * [simplify]: Simplifying (/ (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt k)) 58.424 * * [simplify]: iters left: 6 (16 enodes) 58.429 * * [simplify]: iters left: 5 (65 enodes) 58.449 * * [simplify]: iters left: 4 (103 enodes) 58.468 * * [simplify]: iters left: 3 (168 enodes) 58.506 * * [simplify]: iters left: 2 (313 enodes) 58.589 * * [simplify]: Extracting #0: cost 1 inf + 0 58.589 * * [simplify]: Extracting #1: cost 4 inf + 0 58.589 * * [simplify]: Extracting #2: cost 8 inf + 0 58.589 * * [simplify]: Extracting #3: cost 18 inf + 42 58.589 * * [simplify]: Extracting #4: cost 70 inf + 84 58.589 * * [simplify]: Extracting #5: cost 139 inf + 89 58.591 * * [simplify]: Extracting #6: cost 128 inf + 3824 58.594 * * [simplify]: Extracting #7: cost 55 inf + 27480 58.604 * * [simplify]: Extracting #8: cost 10 inf + 58809 58.613 * * [simplify]: Extracting #9: cost 0 inf + 65195 58.625 * [simplify]: Simplified to (/ (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (sqrt k)) 58.625 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 1) (/ (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (sqrt k)))) 58.625 * * * * [progress]: [ 160 / 209 ] simplifiying candidate # 58.626 * [simplify]: Simplifying (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 58.626 * * [simplify]: iters left: 6 (18 enodes) 58.631 * * [simplify]: iters left: 5 (73 enodes) 58.644 * * [simplify]: iters left: 4 (118 enodes) 58.668 * * [simplify]: iters left: 3 (178 enodes) 58.709 * * [simplify]: iters left: 2 (305 enodes) 58.795 * * [simplify]: Extracting #0: cost 1 inf + 0 58.795 * * [simplify]: Extracting #1: cost 6 inf + 0 58.795 * * [simplify]: Extracting #2: cost 13 inf + 0 58.795 * * [simplify]: Extracting #3: cost 32 inf + 0 58.796 * * [simplify]: Extracting #4: cost 84 inf + 285 58.797 * * [simplify]: Extracting #5: cost 138 inf + 657 58.803 * * [simplify]: Extracting #6: cost 119 inf + 5373 58.811 * * [simplify]: Extracting #7: cost 55 inf + 27516 58.826 * * [simplify]: Extracting #8: cost 6 inf + 62626 58.836 * * [simplify]: Extracting #9: cost 0 inf + 67456 58.845 * [simplify]: Simplified to (/ (/ (sqrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (cbrt (sqrt k))) (cbrt (sqrt k))) 58.845 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (sqrt k))))) 58.846 * [simplify]: Simplifying (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (sqrt k))) 58.846 * * [simplify]: iters left: 6 (17 enodes) 58.851 * * [simplify]: iters left: 5 (68 enodes) 58.861 * * [simplify]: iters left: 4 (107 enodes) 58.885 * * [simplify]: iters left: 3 (169 enodes) 58.920 * * [simplify]: iters left: 2 (312 enodes) 59.008 * * [simplify]: Extracting #0: cost 1 inf + 0 59.008 * * [simplify]: Extracting #1: cost 4 inf + 0 59.008 * * [simplify]: Extracting #2: cost 9 inf + 0 59.008 * * [simplify]: Extracting #3: cost 28 inf + 0 59.008 * * [simplify]: Extracting #4: cost 84 inf + 164 59.008 * * [simplify]: Extracting #5: cost 137 inf + 414 59.010 * * [simplify]: Extracting #6: cost 125 inf + 4150 59.013 * * [simplify]: Extracting #7: cost 56 inf + 27466 59.021 * * [simplify]: Extracting #8: cost 8 inf + 58581 59.033 * * [simplify]: Extracting #9: cost 0 inf + 64592 59.042 * * [simplify]: Extracting #10: cost 0 inf + 64420 59.050 * [simplify]: Simplified to (/ (sqrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (cbrt (sqrt k))) 59.050 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (cbrt (sqrt k))))) 59.050 * * * * [progress]: [ 161 / 209 ] simplifiying candidate # 59.051 * [simplify]: Simplifying (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt (* (cbrt k) (cbrt k)))) 59.051 * * [simplify]: iters left: 6 (19 enodes) 59.056 * * [simplify]: iters left: 5 (75 enodes) 59.067 * * [simplify]: iters left: 4 (114 enodes) 59.101 * * [simplify]: iters left: 3 (179 enodes) 59.133 * * [simplify]: iters left: 2 (324 enodes) 59.216 * * [simplify]: Extracting #0: cost 1 inf + 0 59.216 * * [simplify]: Extracting #1: cost 4 inf + 0 59.216 * * [simplify]: Extracting #2: cost 10 inf + 0 59.216 * * [simplify]: Extracting #3: cost 30 inf + 0 59.216 * * [simplify]: Extracting #4: cost 86 inf + 446 59.217 * * [simplify]: Extracting #5: cost 141 inf + 654 59.217 * * [simplify]: Extracting #6: cost 154 inf + 1114 59.219 * * [simplify]: Extracting #7: cost 88 inf + 15288 59.225 * * [simplify]: Extracting #8: cost 34 inf + 36655 59.235 * * [simplify]: Extracting #9: cost 5 inf + 61662 59.252 * * [simplify]: Extracting #10: cost 0 inf + 66860 59.264 * [simplify]: Simplified to (/ (sqrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (fabs (cbrt k))) 59.264 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (fabs (cbrt k))) (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt (cbrt k))))) 59.264 * [simplify]: Simplifying (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt (cbrt k))) 59.264 * * [simplify]: iters left: 6 (18 enodes) 59.269 * * [simplify]: iters left: 5 (71 enodes) 59.288 * * [simplify]: iters left: 4 (114 enodes) 59.316 * * [simplify]: iters left: 3 (174 enodes) 59.345 * * [simplify]: iters left: 2 (301 enodes) 59.414 * * [simplify]: Extracting #0: cost 1 inf + 0 59.414 * * [simplify]: Extracting #1: cost 4 inf + 0 59.414 * * [simplify]: Extracting #2: cost 9 inf + 0 59.415 * * [simplify]: Extracting #3: cost 28 inf + 0 59.415 * * [simplify]: Extracting #4: cost 79 inf + 406 59.415 * * [simplify]: Extracting #5: cost 137 inf + 412 59.416 * * [simplify]: Extracting #6: cost 151 inf + 748 59.417 * * [simplify]: Extracting #7: cost 92 inf + 13065 59.422 * * [simplify]: Extracting #8: cost 40 inf + 31894 59.428 * * [simplify]: Extracting #9: cost 13 inf + 51899 59.443 * * [simplify]: Extracting #10: cost 0 inf + 65415 59.478 * [simplify]: Simplified to (/ (sqrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (sqrt (cbrt k))) 59.478 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (sqrt (cbrt k))))) 59.478 * * * * [progress]: [ 162 / 209 ] simplifiying candidate # 59.478 * [simplify]: Simplifying (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt (sqrt k))) 59.478 * * [simplify]: iters left: 6 (17 enodes) 59.485 * * [simplify]: iters left: 5 (68 enodes) 59.496 * * [simplify]: iters left: 4 (107 enodes) 59.523 * * [simplify]: iters left: 3 (169 enodes) 59.578 * * [simplify]: iters left: 2 (312 enodes) 59.688 * * [simplify]: Extracting #0: cost 1 inf + 0 59.688 * * [simplify]: Extracting #1: cost 4 inf + 0 59.688 * * [simplify]: Extracting #2: cost 9 inf + 0 59.688 * * [simplify]: Extracting #3: cost 28 inf + 0 59.688 * * [simplify]: Extracting #4: cost 84 inf + 124 59.689 * * [simplify]: Extracting #5: cost 137 inf + 334 59.690 * * [simplify]: Extracting #6: cost 125 inf + 4070 59.693 * * [simplify]: Extracting #7: cost 56 inf + 27346 59.700 * * [simplify]: Extracting #8: cost 8 inf + 58421 59.709 * * [simplify]: Extracting #9: cost 0 inf + 64432 59.723 * * [simplify]: Extracting #10: cost 0 inf + 64260 59.738 * [simplify]: Simplified to (/ (sqrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (sqrt (sqrt k))) 59.738 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt (sqrt k))))) 59.739 * [simplify]: Simplifying (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt (sqrt k))) 59.739 * * [simplify]: iters left: 6 (17 enodes) 59.747 * * [simplify]: iters left: 5 (68 enodes) 59.766 * * [simplify]: iters left: 4 (107 enodes) 59.797 * * [simplify]: iters left: 3 (169 enodes) 59.853 * * [simplify]: iters left: 2 (312 enodes) 59.962 * * [simplify]: Extracting #0: cost 1 inf + 0 59.962 * * [simplify]: Extracting #1: cost 4 inf + 0 59.962 * * [simplify]: Extracting #2: cost 9 inf + 0 59.962 * * [simplify]: Extracting #3: cost 28 inf + 0 59.962 * * [simplify]: Extracting #4: cost 84 inf + 124 59.963 * * [simplify]: Extracting #5: cost 137 inf + 334 59.964 * * [simplify]: Extracting #6: cost 125 inf + 4070 59.967 * * [simplify]: Extracting #7: cost 56 inf + 27346 59.979 * * [simplify]: Extracting #8: cost 8 inf + 58421 59.988 * * [simplify]: Extracting #9: cost 0 inf + 64432 59.996 * * [simplify]: Extracting #10: cost 0 inf + 64260 60.009 * [simplify]: Simplified to (/ (sqrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (sqrt (sqrt k))) 60.009 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (sqrt (sqrt k))))) 60.009 * * * * [progress]: [ 163 / 209 ] simplifiying candidate # 60.009 * [simplify]: Simplifying (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt 1)) 60.010 * * [simplify]: iters left: 6 (17 enodes) 60.020 * * [simplify]: iters left: 5 (68 enodes) 60.040 * * [simplify]: iters left: 4 (107 enodes) 60.067 * * [simplify]: iters left: 3 (171 enodes) 60.098 * * [simplify]: iters left: 2 (315 enodes) 60.194 * * [simplify]: Extracting #0: cost 1 inf + 0 60.194 * * [simplify]: Extracting #1: cost 5 inf + 0 60.194 * * [simplify]: Extracting #2: cost 21 inf + 1 60.195 * * [simplify]: Extracting #3: cost 78 inf + 2 60.196 * * [simplify]: Extracting #4: cost 140 inf + 7 60.197 * * [simplify]: Extracting #5: cost 159 inf + 137 60.198 * * [simplify]: Extracting #6: cost 152 inf + 677 60.204 * * [simplify]: Extracting #7: cost 66 inf + 28718 60.220 * * [simplify]: Extracting #8: cost 5 inf + 59336 60.234 * * [simplify]: Extracting #9: cost 0 inf + 62677 60.243 * * [simplify]: Extracting #10: cost 0 inf + 62246 60.253 * [simplify]: Simplified to (sqrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) 60.253 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt k)))) 60.253 * [simplify]: Simplifying (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt k)) 60.253 * * [simplify]: iters left: 6 (16 enodes) 60.258 * * [simplify]: iters left: 5 (65 enodes) 60.268 * * [simplify]: iters left: 4 (104 enodes) 60.288 * * [simplify]: iters left: 3 (170 enodes) 60.320 * * [simplify]: iters left: 2 (315 enodes) 60.429 * * [simplify]: Extracting #0: cost 1 inf + 0 60.429 * * [simplify]: Extracting #1: cost 4 inf + 0 60.429 * * [simplify]: Extracting #2: cost 9 inf + 0 60.429 * * [simplify]: Extracting #3: cost 23 inf + 42 60.430 * * [simplify]: Extracting #4: cost 86 inf + 84 60.430 * * [simplify]: Extracting #5: cost 144 inf + 254 60.431 * * [simplify]: Extracting #6: cost 113 inf + 6986 60.435 * * [simplify]: Extracting #7: cost 62 inf + 23045 60.442 * * [simplify]: Extracting #8: cost 5 inf + 65307 60.451 * * [simplify]: Extracting #9: cost 0 inf + 69042 60.462 * [simplify]: Simplified to (/ (sqrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (sqrt k)) 60.462 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt 1)) (/ (sqrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (sqrt k)))) 60.463 * * * * [progress]: [ 164 / 209 ] simplifiying candidate # 60.463 * [simplify]: Simplifying (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt (sqrt k))) 60.463 * * [simplify]: iters left: 6 (17 enodes) 60.471 * * [simplify]: iters left: 5 (68 enodes) 60.482 * * [simplify]: iters left: 4 (107 enodes) 60.502 * * [simplify]: iters left: 3 (169 enodes) 60.560 * * [simplify]: iters left: 2 (312 enodes) 60.653 * * [simplify]: Extracting #0: cost 1 inf + 0 60.653 * * [simplify]: Extracting #1: cost 4 inf + 0 60.653 * * [simplify]: Extracting #2: cost 9 inf + 0 60.653 * * [simplify]: Extracting #3: cost 28 inf + 0 60.654 * * [simplify]: Extracting #4: cost 84 inf + 124 60.654 * * [simplify]: Extracting #5: cost 137 inf + 334 60.655 * * [simplify]: Extracting #6: cost 125 inf + 4070 60.658 * * [simplify]: Extracting #7: cost 56 inf + 27346 60.666 * * [simplify]: Extracting #8: cost 8 inf + 58421 60.674 * * [simplify]: Extracting #9: cost 0 inf + 64432 60.683 * * [simplify]: Extracting #10: cost 0 inf + 64260 60.691 * [simplify]: Simplified to (/ (sqrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (sqrt (sqrt k))) 60.692 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt (sqrt k))))) 60.692 * [simplify]: Simplifying (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt (sqrt k))) 60.692 * * [simplify]: iters left: 6 (17 enodes) 60.699 * * [simplify]: iters left: 5 (68 enodes) 60.713 * * [simplify]: iters left: 4 (107 enodes) 60.746 * * [simplify]: iters left: 3 (169 enodes) 60.802 * * [simplify]: iters left: 2 (312 enodes) 60.880 * * [simplify]: Extracting #0: cost 1 inf + 0 60.880 * * [simplify]: Extracting #1: cost 4 inf + 0 60.880 * * [simplify]: Extracting #2: cost 9 inf + 0 60.880 * * [simplify]: Extracting #3: cost 28 inf + 0 60.881 * * [simplify]: Extracting #4: cost 84 inf + 124 60.882 * * [simplify]: Extracting #5: cost 137 inf + 334 60.883 * * [simplify]: Extracting #6: cost 125 inf + 4070 60.890 * * [simplify]: Extracting #7: cost 56 inf + 27346 60.905 * * [simplify]: Extracting #8: cost 8 inf + 58421 60.916 * * [simplify]: Extracting #9: cost 0 inf + 64432 60.928 * * [simplify]: Extracting #10: cost 0 inf + 64260 60.936 * [simplify]: Simplified to (/ (sqrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (sqrt (sqrt k))) 60.936 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (sqrt (sqrt k))))) 60.936 * * * * [progress]: [ 165 / 209 ] simplifiying candidate # 60.937 * [simplify]: Simplifying (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 1) 60.937 * * [simplify]: iters left: 6 (16 enodes) 60.941 * * [simplify]: iters left: 5 (63 enodes) 60.961 * * [simplify]: iters left: 4 (102 enodes) 60.992 * * [simplify]: iters left: 3 (167 enodes) 61.023 * * [simplify]: iters left: 2 (315 enodes) 61.085 * * [simplify]: Extracting #0: cost 1 inf + 0 61.086 * * [simplify]: Extracting #1: cost 5 inf + 0 61.086 * * [simplify]: Extracting #2: cost 20 inf + 1 61.086 * * [simplify]: Extracting #3: cost 82 inf + 2 61.086 * * [simplify]: Extracting #4: cost 142 inf + 7 61.087 * * [simplify]: Extracting #5: cost 160 inf + 138 61.087 * * [simplify]: Extracting #6: cost 154 inf + 555 61.090 * * [simplify]: Extracting #7: cost 71 inf + 21386 61.100 * * [simplify]: Extracting #8: cost 7 inf + 57805 61.109 * * [simplify]: Extracting #9: cost 0 inf + 61897 61.118 * * [simplify]: Extracting #10: cost 0 inf + 61767 61.127 * [simplify]: Simplified to (sqrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) 61.127 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt k)))) 61.128 * [simplify]: Simplifying (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt k)) 61.128 * * [simplify]: iters left: 6 (16 enodes) 61.132 * * [simplify]: iters left: 5 (65 enodes) 61.151 * * [simplify]: iters left: 4 (104 enodes) 61.183 * * [simplify]: iters left: 3 (170 enodes) 61.222 * * [simplify]: iters left: 2 (315 enodes) 61.328 * * [simplify]: Extracting #0: cost 1 inf + 0 61.328 * * [simplify]: Extracting #1: cost 4 inf + 0 61.328 * * [simplify]: Extracting #2: cost 9 inf + 0 61.328 * * [simplify]: Extracting #3: cost 23 inf + 42 61.329 * * [simplify]: Extracting #4: cost 86 inf + 84 61.329 * * [simplify]: Extracting #5: cost 144 inf + 254 61.332 * * [simplify]: Extracting #6: cost 113 inf + 6986 61.339 * * [simplify]: Extracting #7: cost 62 inf + 23045 61.354 * * [simplify]: Extracting #8: cost 5 inf + 65307 61.371 * * [simplify]: Extracting #9: cost 0 inf + 69042 61.389 * [simplify]: Simplified to (/ (sqrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (sqrt k)) 61.389 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 1) (/ (sqrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (sqrt k)))) 61.389 * * * * [progress]: [ 166 / 209 ] simplifiying candidate # 61.390 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 61.390 * * [simplify]: iters left: 6 (6 enodes) 61.393 * * [simplify]: iters left: 5 (22 enodes) 61.400 * * [simplify]: iters left: 4 (26 enodes) 61.408 * * [simplify]: Extracting #0: cost 1 inf + 0 61.408 * * [simplify]: Extracting #1: cost 6 inf + 0 61.408 * * [simplify]: Extracting #2: cost 9 inf + 1 61.408 * * [simplify]: Extracting #3: cost 11 inf + 1 61.408 * * [simplify]: Extracting #4: cost 8 inf + 84 61.409 * * [simplify]: Extracting #5: cost 2 inf + 1013 61.409 * * [simplify]: Extracting #6: cost 0 inf + 1376 61.409 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 61.409 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (cbrt (sqrt k))))) 61.410 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (cbrt (sqrt k))) 61.410 * * [simplify]: iters left: 6 (16 enodes) 61.416 * * [simplify]: iters left: 5 (65 enodes) 61.427 * * [simplify]: iters left: 4 (105 enodes) 61.447 * * [simplify]: iters left: 3 (176 enodes) 61.509 * * [simplify]: iters left: 2 (340 enodes) 61.586 * * [simplify]: Extracting #0: cost 1 inf + 0 61.587 * * [simplify]: Extracting #1: cost 30 inf + 0 61.587 * * [simplify]: Extracting #2: cost 73 inf + 0 61.587 * * [simplify]: Extracting #3: cost 138 inf + 2 61.588 * * [simplify]: Extracting #4: cost 179 inf + 134 61.589 * * [simplify]: Extracting #5: cost 160 inf + 7475 61.595 * * [simplify]: Extracting #6: cost 70 inf + 42522 61.618 * * [simplify]: Extracting #7: cost 13 inf + 94602 61.645 * * [simplify]: Extracting #8: cost 0 inf + 106896 61.664 * * [simplify]: Extracting #9: cost 0 inf + 105685 61.678 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (cbrt (sqrt k))) 61.678 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (cbrt (sqrt k))))) 61.678 * * * * [progress]: [ 167 / 209 ] simplifiying candidate # 61.679 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt k) (cbrt k)))) 61.679 * * [simplify]: iters left: 6 (6 enodes) 61.681 * * [simplify]: iters left: 5 (21 enodes) 61.686 * * [simplify]: iters left: 4 (23 enodes) 61.692 * * [simplify]: Extracting #0: cost 1 inf + 0 61.692 * * [simplify]: Extracting #1: cost 4 inf + 0 61.692 * * [simplify]: Extracting #2: cost 6 inf + 1 61.692 * * [simplify]: Extracting #3: cost 9 inf + 1 61.692 * * [simplify]: Extracting #4: cost 8 inf + 2 61.693 * * [simplify]: Extracting #5: cost 1 inf + 810 61.693 * * [simplify]: Extracting #6: cost 0 inf + 972 61.693 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 61.693 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (cbrt k))))) 61.694 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (cbrt k))) 61.694 * * [simplify]: iters left: 6 (17 enodes) 61.702 * * [simplify]: iters left: 5 (68 enodes) 61.718 * * [simplify]: iters left: 4 (108 enodes) 61.735 * * [simplify]: iters left: 3 (179 enodes) 61.794 * * [simplify]: iters left: 2 (343 enodes) 61.867 * * [simplify]: Extracting #0: cost 1 inf + 0 61.867 * * [simplify]: Extracting #1: cost 30 inf + 0 61.868 * * [simplify]: Extracting #2: cost 72 inf + 0 61.868 * * [simplify]: Extracting #3: cost 139 inf + 2 61.869 * * [simplify]: Extracting #4: cost 184 inf + 11 61.870 * * [simplify]: Extracting #5: cost 178 inf + 3928 61.873 * * [simplify]: Extracting #6: cost 106 inf + 18913 61.881 * * [simplify]: Extracting #7: cost 34 inf + 72000 61.895 * * [simplify]: Extracting #8: cost 0 inf + 107491 61.914 * * [simplify]: Extracting #9: cost 0 inf + 106969 61.942 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (* 1/2 (- 1 (sqrt k)))) (sqrt (cbrt k))) 61.942 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (* 1/2 (- 1 (sqrt k)))) (sqrt (cbrt k))))) 61.943 * * * * [progress]: [ 168 / 209 ] simplifiying candidate # 61.943 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 61.943 * * [simplify]: iters left: 4 (5 enodes) 61.946 * * [simplify]: iters left: 3 (17 enodes) 61.951 * * [simplify]: iters left: 2 (19 enodes) 61.957 * * [simplify]: Extracting #0: cost 1 inf + 0 61.957 * * [simplify]: Extracting #1: cost 4 inf + 0 61.957 * * [simplify]: Extracting #2: cost 5 inf + 1 61.957 * * [simplify]: Extracting #3: cost 7 inf + 1 61.957 * * [simplify]: Extracting #4: cost 0 inf + 490 61.957 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 61.957 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))))) 61.958 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 61.958 * * [simplify]: iters left: 6 (16 enodes) 61.967 * * [simplify]: iters left: 5 (65 enodes) 61.991 * * [simplify]: iters left: 4 (105 enodes) 62.026 * * [simplify]: iters left: 3 (176 enodes) 62.067 * * [simplify]: iters left: 2 (340 enodes) 62.159 * * [simplify]: Extracting #0: cost 1 inf + 0 62.159 * * [simplify]: Extracting #1: cost 30 inf + 0 62.159 * * [simplify]: Extracting #2: cost 73 inf + 0 62.159 * * [simplify]: Extracting #3: cost 138 inf + 2 62.160 * * [simplify]: Extracting #4: cost 179 inf + 134 62.161 * * [simplify]: Extracting #5: cost 160 inf + 7395 62.166 * * [simplify]: Extracting #6: cost 70 inf + 42122 62.193 * * [simplify]: Extracting #7: cost 13 inf + 93402 62.211 * * [simplify]: Extracting #8: cost 0 inf + 105416 62.224 * * [simplify]: Extracting #9: cost 0 inf + 104205 62.249 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 62.250 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))))) 62.250 * * * * [progress]: [ 169 / 209 ] simplifiying candidate # 62.250 * [simplify]: Simplifying (/ 1 (sqrt 1)) 62.250 * * [simplify]: iters left: 3 (3 enodes) 62.256 * * [simplify]: iters left: 2 (11 enodes) 62.257 * * [simplify]: iters left: 1 (13 enodes) 62.259 * * [simplify]: Extracting #0: cost 1 inf + 0 62.259 * * [simplify]: Extracting #1: cost 0 inf + 1 62.259 * [simplify]: Simplified to 1 62.259 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k)))) 62.259 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k)) 62.260 * * [simplify]: iters left: 6 (15 enodes) 62.264 * * [simplify]: iters left: 5 (62 enodes) 62.274 * * [simplify]: iters left: 4 (102 enodes) 62.292 * * [simplify]: iters left: 3 (174 enodes) 62.337 * * [simplify]: iters left: 2 (338 enodes) 62.419 * * [simplify]: Extracting #0: cost 1 inf + 0 62.419 * * [simplify]: Extracting #1: cost 30 inf + 0 62.419 * * [simplify]: Extracting #2: cost 73 inf + 0 62.420 * * [simplify]: Extracting #3: cost 132 inf + 44 62.421 * * [simplify]: Extracting #4: cost 174 inf + 461 62.425 * * [simplify]: Extracting #5: cost 146 inf + 9585 62.435 * * [simplify]: Extracting #6: cost 70 inf + 42795 62.458 * * [simplify]: Extracting #7: cost 9 inf + 94296 62.483 * * [simplify]: Extracting #8: cost 1 inf + 101598 62.509 * * [simplify]: Extracting #9: cost 0 inf + 102507 62.540 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2))) (sqrt k)) 62.540 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2))) (sqrt k)))) 62.540 * * * * [progress]: [ 170 / 209 ] simplifiying candidate # 62.540 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 62.541 * * [simplify]: iters left: 4 (5 enodes) 62.543 * * [simplify]: iters left: 3 (17 enodes) 62.548 * * [simplify]: iters left: 2 (19 enodes) 62.552 * * [simplify]: Extracting #0: cost 1 inf + 0 62.552 * * [simplify]: Extracting #1: cost 4 inf + 0 62.552 * * [simplify]: Extracting #2: cost 5 inf + 1 62.552 * * [simplify]: Extracting #3: cost 7 inf + 1 62.552 * * [simplify]: Extracting #4: cost 0 inf + 490 62.552 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 62.552 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))))) 62.552 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 62.553 * * [simplify]: iters left: 6 (16 enodes) 62.557 * * [simplify]: iters left: 5 (65 enodes) 62.567 * * [simplify]: iters left: 4 (105 enodes) 62.589 * * [simplify]: iters left: 3 (176 enodes) 62.646 * * [simplify]: iters left: 2 (340 enodes) 62.755 * * [simplify]: Extracting #0: cost 1 inf + 0 62.755 * * [simplify]: Extracting #1: cost 30 inf + 0 62.756 * * [simplify]: Extracting #2: cost 73 inf + 0 62.756 * * [simplify]: Extracting #3: cost 138 inf + 2 62.757 * * [simplify]: Extracting #4: cost 179 inf + 134 62.758 * * [simplify]: Extracting #5: cost 160 inf + 7395 62.763 * * [simplify]: Extracting #6: cost 70 inf + 42122 62.775 * * [simplify]: Extracting #7: cost 13 inf + 93402 62.789 * * [simplify]: Extracting #8: cost 0 inf + 105416 62.810 * * [simplify]: Extracting #9: cost 0 inf + 104205 62.823 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) 62.823 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))))) 62.823 * * * * [progress]: [ 171 / 209 ] simplifiying candidate # 62.824 * [simplify]: Simplifying (/ 1 1) 62.824 * * [simplify]: iters left: 2 (2 enodes) 62.825 * * [simplify]: iters left: 1 (6 enodes) 62.826 * * [simplify]: Extracting #0: cost 1 inf + 0 62.826 * * [simplify]: Extracting #1: cost 0 inf + 1 62.826 * [simplify]: Simplified to 1 62.826 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k)))) 62.826 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k)) 62.826 * * [simplify]: iters left: 6 (15 enodes) 62.831 * * [simplify]: iters left: 5 (62 enodes) 62.848 * * [simplify]: iters left: 4 (102 enodes) 62.885 * * [simplify]: iters left: 3 (174 enodes) 62.946 * * [simplify]: iters left: 2 (338 enodes) 63.029 * * [simplify]: Extracting #0: cost 1 inf + 0 63.029 * * [simplify]: Extracting #1: cost 30 inf + 0 63.029 * * [simplify]: Extracting #2: cost 73 inf + 0 63.030 * * [simplify]: Extracting #3: cost 132 inf + 44 63.031 * * [simplify]: Extracting #4: cost 174 inf + 461 63.035 * * [simplify]: Extracting #5: cost 146 inf + 9585 63.046 * * [simplify]: Extracting #6: cost 70 inf + 42795 63.068 * * [simplify]: Extracting #7: cost 9 inf + 94296 63.087 * * [simplify]: Extracting #8: cost 1 inf + 101598 63.100 * * [simplify]: Extracting #9: cost 0 inf + 102507 63.125 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2))) (sqrt k)) 63.125 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2))) (sqrt k)))) 63.125 * * * * [progress]: [ 172 / 209 ] simplifiying candidate # 63.125 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 63.126 * * [simplify]: iters left: 6 (18 enodes) 63.136 * * [simplify]: iters left: 5 (76 enodes) 63.161 * * [simplify]: iters left: 4 (129 enodes) 63.202 * * [simplify]: iters left: 3 (226 enodes) 63.286 * * [simplify]: iters left: 2 (460 enodes) 63.453 * * [simplify]: Extracting #0: cost 1 inf + 0 63.453 * * [simplify]: Extracting #1: cost 55 inf + 0 63.454 * * [simplify]: Extracting #2: cost 146 inf + 0 63.454 * * [simplify]: Extracting #3: cost 228 inf + 2 63.460 * * [simplify]: Extracting #4: cost 259 inf + 2500 63.464 * * [simplify]: Extracting #5: cost 219 inf + 14825 63.475 * * [simplify]: Extracting #6: cost 90 inf + 102866 63.511 * * [simplify]: Extracting #7: cost 9 inf + 181684 63.542 * * [simplify]: Extracting #8: cost 0 inf + 190846 63.580 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/4 (/ (sqrt k) 4))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 63.580 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/4 (/ (sqrt k) 4))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) (cbrt (sqrt k))))) 63.580 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) (cbrt (sqrt k))) 63.580 * * [simplify]: iters left: 6 (17 enodes) 63.585 * * [simplify]: iters left: 5 (71 enodes) 63.599 * * [simplify]: iters left: 4 (115 enodes) 63.623 * * [simplify]: iters left: 3 (193 enodes) 63.673 * * [simplify]: iters left: 2 (371 enodes) 63.807 * * [simplify]: Extracting #0: cost 1 inf + 0 63.807 * * [simplify]: Extracting #1: cost 30 inf + 0 63.807 * * [simplify]: Extracting #2: cost 73 inf + 0 63.807 * * [simplify]: Extracting #3: cost 145 inf + 2 63.808 * * [simplify]: Extracting #4: cost 192 inf + 177 63.810 * * [simplify]: Extracting #5: cost 170 inf + 8501 63.815 * * [simplify]: Extracting #6: cost 71 inf + 45081 63.827 * * [simplify]: Extracting #7: cost 5 inf + 99842 63.840 * * [simplify]: Extracting #8: cost 0 inf + 104312 63.853 * * [simplify]: Extracting #9: cost 0 inf + 104181 63.866 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 4)) (cbrt (sqrt k))) 63.867 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 4)) (cbrt (sqrt k))))) 63.867 * * * * [progress]: [ 173 / 209 ] simplifiying candidate # 63.867 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) (sqrt (* (cbrt k) (cbrt k)))) 63.867 * * [simplify]: iters left: 6 (19 enodes) 63.872 * * [simplify]: iters left: 5 (78 enodes) 63.887 * * [simplify]: iters left: 4 (125 enodes) 63.913 * * [simplify]: iters left: 3 (207 enodes) 63.961 * * [simplify]: iters left: 2 (395 enodes) 64.082 * * [simplify]: Extracting #0: cost 1 inf + 0 64.083 * * [simplify]: Extracting #1: cost 30 inf + 0 64.083 * * [simplify]: Extracting #2: cost 72 inf + 0 64.083 * * [simplify]: Extracting #3: cost 146 inf + 2 64.084 * * [simplify]: Extracting #4: cost 196 inf + 13 64.085 * * [simplify]: Extracting #5: cost 188 inf + 4323 64.089 * * [simplify]: Extracting #6: cost 86 inf + 35766 64.102 * * [simplify]: Extracting #7: cost 20 inf + 86604 64.121 * * [simplify]: Extracting #8: cost 0 inf + 105957 64.135 * * [simplify]: Extracting #9: cost 0 inf + 105565 64.154 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 4)) (fabs (cbrt k))) 64.155 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 4)) (fabs (cbrt k))) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) (sqrt (cbrt k))))) 64.155 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) (sqrt (cbrt k))) 64.155 * * [simplify]: iters left: 6 (18 enodes) 64.161 * * [simplify]: iters left: 5 (74 enodes) 64.174 * * [simplify]: iters left: 4 (121 enodes) 64.198 * * [simplify]: iters left: 3 (203 enodes) 64.269 * * [simplify]: iters left: 2 (389 enodes) 64.392 * * [simplify]: Extracting #0: cost 1 inf + 0 64.392 * * [simplify]: Extracting #1: cost 30 inf + 0 64.392 * * [simplify]: Extracting #2: cost 72 inf + 0 64.393 * * [simplify]: Extracting #3: cost 146 inf + 2 64.394 * * [simplify]: Extracting #4: cost 198 inf + 13 64.395 * * [simplify]: Extracting #5: cost 193 inf + 5454 64.404 * * [simplify]: Extracting #6: cost 85 inf + 49546 64.417 * * [simplify]: Extracting #7: cost 6 inf + 106419 64.431 * * [simplify]: Extracting #8: cost 0 inf + 110176 64.450 * * [simplify]: Extracting #9: cost 0 inf + 109915 64.519 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/4 (/ (sqrt k) 4))) (sqrt (cbrt k))) 64.519 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/4 (/ (sqrt k) 4))) (sqrt (cbrt k))))) 64.520 * * * * [progress]: [ 174 / 209 ] simplifiying candidate # 64.520 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) (sqrt (sqrt k))) 64.520 * * [simplify]: iters left: 6 (17 enodes) 64.530 * * [simplify]: iters left: 5 (71 enodes) 64.553 * * [simplify]: iters left: 4 (115 enodes) 64.593 * * [simplify]: iters left: 3 (193 enodes) 64.661 * * [simplify]: iters left: 2 (371 enodes) 64.774 * * [simplify]: Extracting #0: cost 1 inf + 0 64.774 * * [simplify]: Extracting #1: cost 30 inf + 0 64.774 * * [simplify]: Extracting #2: cost 73 inf + 0 64.775 * * [simplify]: Extracting #3: cost 145 inf + 2 64.776 * * [simplify]: Extracting #4: cost 192 inf + 177 64.779 * * [simplify]: Extracting #5: cost 170 inf + 8421 64.788 * * [simplify]: Extracting #6: cost 71 inf + 44641 64.802 * * [simplify]: Extracting #7: cost 5 inf + 98562 64.816 * * [simplify]: Extracting #8: cost 0 inf + 102832 64.829 * * [simplify]: Extracting #9: cost 0 inf + 102701 64.842 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 4)) (sqrt (sqrt k))) 64.842 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 4)) (sqrt (sqrt k))) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) (sqrt (sqrt k))))) 64.842 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) (sqrt (sqrt k))) 64.842 * * [simplify]: iters left: 6 (17 enodes) 64.848 * * [simplify]: iters left: 5 (71 enodes) 64.860 * * [simplify]: iters left: 4 (115 enodes) 64.878 * * [simplify]: iters left: 3 (193 enodes) 64.915 * * [simplify]: iters left: 2 (371 enodes) 65.040 * * [simplify]: Extracting #0: cost 1 inf + 0 65.041 * * [simplify]: Extracting #1: cost 30 inf + 0 65.041 * * [simplify]: Extracting #2: cost 73 inf + 0 65.041 * * [simplify]: Extracting #3: cost 145 inf + 2 65.042 * * [simplify]: Extracting #4: cost 192 inf + 177 65.043 * * [simplify]: Extracting #5: cost 170 inf + 8421 65.049 * * [simplify]: Extracting #6: cost 71 inf + 44641 65.061 * * [simplify]: Extracting #7: cost 5 inf + 98562 65.075 * * [simplify]: Extracting #8: cost 0 inf + 102832 65.092 * * [simplify]: Extracting #9: cost 0 inf + 102701 65.105 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 4)) (sqrt (sqrt k))) 65.105 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) (sqrt (sqrt k))) (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 4)) (sqrt (sqrt k))))) 65.106 * * * * [progress]: [ 175 / 209 ] simplifiying candidate # 65.106 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) (sqrt 1)) 65.106 * * [simplify]: iters left: 6 (17 enodes) 65.111 * * [simplify]: iters left: 5 (71 enodes) 65.123 * * [simplify]: iters left: 4 (113 enodes) 65.158 * * [simplify]: iters left: 3 (187 enodes) 65.197 * * [simplify]: iters left: 2 (358 enodes) 65.283 * * [simplify]: Extracting #0: cost 1 inf + 0 65.283 * * [simplify]: Extracting #1: cost 22 inf + 0 65.284 * * [simplify]: Extracting #2: cost 91 inf + 2 65.284 * * [simplify]: Extracting #3: cost 169 inf + 7 65.286 * * [simplify]: Extracting #4: cost 190 inf + 264 65.288 * * [simplify]: Extracting #5: cost 156 inf + 6250 65.298 * * [simplify]: Extracting #6: cost 55 inf + 36100 65.317 * * [simplify]: Extracting #7: cost 6 inf + 72284 65.339 * * [simplify]: Extracting #8: cost 0 inf + 77196 65.360 * [simplify]: Simplified to (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/4 (/ (sqrt k) 4))) 65.360 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (- 1/4 (/ (sqrt k) 4))) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) (sqrt k)))) 65.361 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) (sqrt k)) 65.361 * * [simplify]: iters left: 6 (16 enodes) 65.370 * * [simplify]: iters left: 5 (68 enodes) 65.391 * * [simplify]: iters left: 4 (112 enodes) 65.432 * * [simplify]: iters left: 3 (190 enodes) 65.479 * * [simplify]: iters left: 2 (367 enodes) 65.582 * * [simplify]: Extracting #0: cost 1 inf + 0 65.583 * * [simplify]: Extracting #1: cost 30 inf + 0 65.583 * * [simplify]: Extracting #2: cost 75 inf + 0 65.584 * * [simplify]: Extracting #3: cost 139 inf + 85 65.585 * * [simplify]: Extracting #4: cost 186 inf + 586 65.589 * * [simplify]: Extracting #5: cost 158 inf + 10560 65.595 * * [simplify]: Extracting #6: cost 80 inf + 40036 65.606 * * [simplify]: Extracting #7: cost 9 inf + 98320 65.627 * * [simplify]: Extracting #8: cost 0 inf + 106436 65.655 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 4)) (sqrt k)) 65.655 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) (sqrt 1)) (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 4)) (sqrt k)))) 65.655 * * * * [progress]: [ 176 / 209 ] simplifiying candidate # 65.655 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) (sqrt (sqrt k))) 65.656 * * [simplify]: iters left: 6 (17 enodes) 65.665 * * [simplify]: iters left: 5 (71 enodes) 65.688 * * [simplify]: iters left: 4 (115 enodes) 65.726 * * [simplify]: iters left: 3 (193 enodes) 65.787 * * [simplify]: iters left: 2 (371 enodes) 65.897 * * [simplify]: Extracting #0: cost 1 inf + 0 65.897 * * [simplify]: Extracting #1: cost 30 inf + 0 65.898 * * [simplify]: Extracting #2: cost 73 inf + 0 65.898 * * [simplify]: Extracting #3: cost 145 inf + 2 65.899 * * [simplify]: Extracting #4: cost 192 inf + 177 65.900 * * [simplify]: Extracting #5: cost 170 inf + 8421 65.906 * * [simplify]: Extracting #6: cost 71 inf + 44641 65.921 * * [simplify]: Extracting #7: cost 5 inf + 98562 65.939 * * [simplify]: Extracting #8: cost 0 inf + 102832 65.952 * * [simplify]: Extracting #9: cost 0 inf + 102701 65.976 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 4)) (sqrt (sqrt k))) 65.976 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 4)) (sqrt (sqrt k))) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) (sqrt (sqrt k))))) 65.977 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) (sqrt (sqrt k))) 65.977 * * [simplify]: iters left: 6 (17 enodes) 65.987 * * [simplify]: iters left: 5 (71 enodes) 66.004 * * [simplify]: iters left: 4 (115 enodes) 66.023 * * [simplify]: iters left: 3 (193 enodes) 66.077 * * [simplify]: iters left: 2 (371 enodes) 66.182 * * [simplify]: Extracting #0: cost 1 inf + 0 66.182 * * [simplify]: Extracting #1: cost 30 inf + 0 66.182 * * [simplify]: Extracting #2: cost 73 inf + 0 66.182 * * [simplify]: Extracting #3: cost 145 inf + 2 66.183 * * [simplify]: Extracting #4: cost 192 inf + 177 66.185 * * [simplify]: Extracting #5: cost 170 inf + 8421 66.190 * * [simplify]: Extracting #6: cost 71 inf + 44641 66.202 * * [simplify]: Extracting #7: cost 5 inf + 98562 66.221 * * [simplify]: Extracting #8: cost 0 inf + 102832 66.233 * * [simplify]: Extracting #9: cost 0 inf + 102701 66.246 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 4)) (sqrt (sqrt k))) 66.247 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) (sqrt (sqrt k))) (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 4)) (sqrt (sqrt k))))) 66.247 * * * * [progress]: [ 177 / 209 ] simplifiying candidate # 66.247 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) 1) 66.247 * * [simplify]: iters left: 6 (16 enodes) 66.252 * * [simplify]: iters left: 5 (66 enodes) 66.265 * * [simplify]: iters left: 4 (110 enodes) 66.284 * * [simplify]: iters left: 3 (188 enodes) 66.325 * * [simplify]: iters left: 2 (367 enodes) 66.466 * * [simplify]: Extracting #0: cost 1 inf + 0 66.466 * * [simplify]: Extracting #1: cost 33 inf + 0 66.466 * * [simplify]: Extracting #2: cost 108 inf + 2 66.467 * * [simplify]: Extracting #3: cost 191 inf + 7 66.468 * * [simplify]: Extracting #4: cost 213 inf + 181 66.469 * * [simplify]: Extracting #5: cost 177 inf + 5165 66.476 * * [simplify]: Extracting #6: cost 97 inf + 27379 66.486 * * [simplify]: Extracting #7: cost 14 inf + 87918 66.508 * * [simplify]: Extracting #8: cost 0 inf + 100871 66.535 * [simplify]: Simplified to (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 4)) 66.535 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 4)) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) (sqrt k)))) 66.535 * [simplify]: Simplifying (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) (sqrt k)) 66.535 * * [simplify]: iters left: 6 (16 enodes) 66.544 * * [simplify]: iters left: 5 (68 enodes) 66.567 * * [simplify]: iters left: 4 (112 enodes) 66.602 * * [simplify]: iters left: 3 (190 enodes) 66.651 * * [simplify]: iters left: 2 (367 enodes) 66.769 * * [simplify]: Extracting #0: cost 1 inf + 0 66.769 * * [simplify]: Extracting #1: cost 30 inf + 0 66.769 * * [simplify]: Extracting #2: cost 75 inf + 0 66.769 * * [simplify]: Extracting #3: cost 139 inf + 85 66.770 * * [simplify]: Extracting #4: cost 186 inf + 586 66.772 * * [simplify]: Extracting #5: cost 158 inf + 10560 66.782 * * [simplify]: Extracting #6: cost 80 inf + 40036 66.804 * * [simplify]: Extracting #7: cost 9 inf + 98320 66.831 * * [simplify]: Extracting #8: cost 0 inf + 106436 66.862 * [simplify]: Simplified to (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 4)) (sqrt k)) 66.862 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 4)) (sqrt k)))) 66.862 * * * * [progress]: [ 178 / 209 ] simplifiying candidate # 66.863 * * * * [progress]: [ 179 / 209 ] simplifiying candidate # 66.863 * * * * [progress]: [ 180 / 209 ] simplifiying candidate # 66.863 * * * * [progress]: [ 181 / 209 ] simplifiying candidate # 66.863 * [simplify]: Simplifying (cbrt (sqrt k)) 66.863 * * [simplify]: iters left: 2 (3 enodes) 66.864 * * [simplify]: iters left: 1 (9 enodes) 66.867 * * [simplify]: Extracting #0: cost 1 inf + 0 66.867 * * [simplify]: Extracting #1: cost 3 inf + 0 66.867 * * [simplify]: Extracting #2: cost 5 inf + 0 66.867 * * [simplify]: Extracting #3: cost 4 inf + 1 66.867 * * [simplify]: Extracting #4: cost 0 inf + 325 66.867 * [simplify]: Simplified to (cbrt (sqrt k)) 66.867 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k)))) 66.867 * * * * [progress]: [ 182 / 209 ] simplifiying candidate # 66.868 * [simplify]: Simplifying (sqrt (cbrt k)) 66.868 * * [simplify]: iters left: 2 (3 enodes) 66.869 * * [simplify]: iters left: 1 (9 enodes) 66.871 * * [simplify]: Extracting #0: cost 1 inf + 0 66.871 * * [simplify]: Extracting #1: cost 3 inf + 0 66.871 * * [simplify]: Extracting #2: cost 5 inf + 0 66.871 * * [simplify]: Extracting #3: cost 4 inf + 1 66.871 * * [simplify]: Extracting #4: cost 0 inf + 405 66.871 * [simplify]: Simplified to (sqrt (cbrt k)) 66.871 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k)))) 66.872 * * * * [progress]: [ 183 / 209 ] simplifiying candidate # 66.872 * [simplify]: Simplifying (sqrt (sqrt k)) 66.872 * * [simplify]: iters left: 2 (3 enodes) 66.873 * * [simplify]: iters left: 1 (9 enodes) 66.876 * * [simplify]: Extracting #0: cost 1 inf + 0 66.876 * * [simplify]: Extracting #1: cost 3 inf + 0 66.876 * * [simplify]: Extracting #2: cost 5 inf + 0 66.876 * * [simplify]: Extracting #3: cost 4 inf + 1 66.876 * * [simplify]: Extracting #4: cost 0 inf + 245 66.876 * [simplify]: Simplified to (sqrt (sqrt k)) 66.876 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 66.876 * * * * [progress]: [ 184 / 209 ] simplifiying candidate # 66.876 * [simplify]: Simplifying (sqrt k) 66.876 * * [simplify]: iters left: 1 (2 enodes) 66.877 * * [simplify]: Extracting #0: cost 1 inf + 0 66.877 * * [simplify]: Extracting #1: cost 3 inf + 0 66.877 * * [simplify]: Extracting #2: cost 2 inf + 1 66.877 * * [simplify]: Extracting #3: cost 0 inf + 83 66.877 * [simplify]: Simplified to (sqrt k) 66.878 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt 1)) (sqrt k))) 66.878 * * * * [progress]: [ 185 / 209 ] simplifiying candidate # 66.878 * [simplify]: Simplifying (sqrt (sqrt k)) 66.878 * * [simplify]: iters left: 2 (3 enodes) 66.879 * * [simplify]: iters left: 1 (9 enodes) 66.881 * * [simplify]: Extracting #0: cost 1 inf + 0 66.881 * * [simplify]: Extracting #1: cost 3 inf + 0 66.881 * * [simplify]: Extracting #2: cost 5 inf + 0 66.881 * * [simplify]: Extracting #3: cost 4 inf + 1 66.882 * * [simplify]: Extracting #4: cost 0 inf + 245 66.882 * [simplify]: Simplified to (sqrt (sqrt k)) 66.882 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 66.882 * * * * [progress]: [ 186 / 209 ] simplifiying candidate # 66.882 * [simplify]: Simplifying (sqrt k) 66.882 * * [simplify]: iters left: 1 (2 enodes) 66.883 * * [simplify]: Extracting #0: cost 1 inf + 0 66.883 * * [simplify]: Extracting #1: cost 3 inf + 0 66.883 * * [simplify]: Extracting #2: cost 2 inf + 1 66.883 * * [simplify]: Extracting #3: cost 0 inf + 83 66.883 * [simplify]: Simplified to (sqrt k) 66.883 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) 1) (sqrt k))) 66.883 * * * * [progress]: [ 187 / 209 ] simplifiying candidate # 66.884 * [simplify]: Simplifying (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) 66.884 * * [simplify]: iters left: 6 (11 enodes) 66.890 * * [simplify]: iters left: 5 (46 enodes) 66.905 * * [simplify]: iters left: 4 (80 enodes) 66.930 * * [simplify]: iters left: 3 (135 enodes) 66.956 * * [simplify]: iters left: 2 (262 enodes) 67.024 * * [simplify]: Extracting #0: cost 1 inf + 0 67.024 * * [simplify]: Extracting #1: cost 14 inf + 0 67.024 * * [simplify]: Extracting #2: cost 66 inf + 1 67.025 * * [simplify]: Extracting #3: cost 127 inf + 6 67.025 * * [simplify]: Extracting #4: cost 147 inf + 11 67.026 * * [simplify]: Extracting #5: cost 134 inf + 1777 67.028 * * [simplify]: Extracting #6: cost 61 inf + 18363 67.033 * * [simplify]: Extracting #7: cost 19 inf + 39858 67.040 * * [simplify]: Extracting #8: cost 1 inf + 55694 67.046 * * [simplify]: Extracting #9: cost 0 inf + 56467 67.056 * [simplify]: Simplified to (pow (pow n (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) 67.056 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (pow n (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (/ (sqrt k) (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) 67.056 * * * * [progress]: [ 188 / 209 ] simplifiying candidate # 67.056 * [simplify]: Simplifying (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2)) 67.056 * * [simplify]: iters left: 6 (16 enodes) 67.061 * * [simplify]: iters left: 5 (65 enodes) 67.071 * * [simplify]: iters left: 4 (103 enodes) 67.089 * * [simplify]: iters left: 3 (168 enodes) 67.124 * * [simplify]: iters left: 2 (313 enodes) 67.216 * * [simplify]: Extracting #0: cost 1 inf + 0 67.216 * * [simplify]: Extracting #1: cost 13 inf + 0 67.216 * * [simplify]: Extracting #2: cost 57 inf + 1 67.217 * * [simplify]: Extracting #3: cost 91 inf + 6 67.217 * * [simplify]: Extracting #4: cost 108 inf + 10 67.218 * * [simplify]: Extracting #5: cost 145 inf + 52 67.221 * * [simplify]: Extracting #6: cost 119 inf + 5883 67.228 * * [simplify]: Extracting #7: cost 52 inf + 24618 67.244 * * [simplify]: Extracting #8: cost 11 inf + 59981 67.266 * * [simplify]: Extracting #9: cost 0 inf + 68869 67.282 * [simplify]: Simplified to (pow (* (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k))))) (/ (- 1 (sqrt k)) 2)) 67.283 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (* (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k))))) (/ (- 1 (sqrt k)) 2)) (/ (sqrt k) (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))))) 67.283 * * * * [progress]: [ 189 / 209 ] simplifiying candidate # 67.283 * [simplify]: Simplifying (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) 67.283 * * [simplify]: iters left: 6 (15 enodes) 67.287 * * [simplify]: iters left: 5 (62 enodes) 67.297 * * [simplify]: iters left: 4 (101 enodes) 67.319 * * [simplify]: iters left: 3 (167 enodes) 67.377 * * [simplify]: iters left: 2 (315 enodes) 67.464 * * [simplify]: Extracting #0: cost 1 inf + 0 67.464 * * [simplify]: Extracting #1: cost 14 inf + 0 67.465 * * [simplify]: Extracting #2: cost 59 inf + 1 67.465 * * [simplify]: Extracting #3: cost 106 inf + 6 67.466 * * [simplify]: Extracting #4: cost 152 inf + 10 67.467 * * [simplify]: Extracting #5: cost 159 inf + 262 67.472 * * [simplify]: Extracting #6: cost 82 inf + 19132 67.488 * * [simplify]: Extracting #7: cost 9 inf + 56261 67.511 * * [simplify]: Extracting #8: cost 0 inf + 63185 67.522 * * [simplify]: Extracting #9: cost 0 inf + 62662 67.531 * * [simplify]: Extracting #10: cost 0 inf + 62532 67.540 * [simplify]: Simplified to (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) 67.540 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (/ (sqrt k) (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))))) 67.540 * * * * [progress]: [ 190 / 209 ] simplifiying candidate # 67.541 * [simplify]: Simplifying (pow 1 (/ (- 1 (sqrt k)) 2)) 67.541 * * [simplify]: iters left: 6 (7 enodes) 67.544 * * [simplify]: iters left: 5 (27 enodes) 67.552 * * [simplify]: iters left: 4 (36 enodes) 67.562 * * [simplify]: Extracting #0: cost 1 inf + 0 67.562 * * [simplify]: Extracting #1: cost 0 inf + 1 67.562 * [simplify]: Simplified to 1 67.562 * [simplify]: Simplified (2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) 67.563 * * * * [progress]: [ 191 / 209 ] simplifiying candidate # 67.563 * [simplify]: Simplifying (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) 67.563 * * [simplify]: iters left: 6 (15 enodes) 67.572 * * [simplify]: iters left: 5 (64 enodes) 67.583 * * [simplify]: iters left: 4 (107 enodes) 67.603 * * [simplify]: iters left: 3 (172 enodes) 67.658 * * [simplify]: iters left: 2 (308 enodes) 67.751 * * [simplify]: Extracting #0: cost 1 inf + 0 67.751 * * [simplify]: Extracting #1: cost 13 inf + 0 67.752 * * [simplify]: Extracting #2: cost 65 inf + 1 67.752 * * [simplify]: Extracting #3: cost 139 inf + 5 67.753 * * [simplify]: Extracting #4: cost 162 inf + 179 67.753 * * [simplify]: Extracting #5: cost 158 inf + 472 67.755 * * [simplify]: Extracting #6: cost 102 inf + 8559 67.759 * * [simplify]: Extracting #7: cost 44 inf + 34459 67.769 * * [simplify]: Extracting #8: cost 1 inf + 72965 67.779 * * [simplify]: Extracting #9: cost 0 inf + 71959 67.799 * * [simplify]: Extracting #10: cost 0 inf + 71828 67.819 * [simplify]: Simplified to (pow (pow (* (* PI 2) n) (* 1/2 (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) 67.819 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (* 1/2 (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2))))) 67.819 * * * * [progress]: [ 192 / 209 ] simplifiying candidate # 67.820 * [simplify]: Simplifying (* (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 67.820 * * [simplify]: iters left: 6 (16 enodes) 67.828 * * [simplify]: iters left: 5 (65 enodes) 67.854 * * [simplify]: iters left: 4 (103 enodes) 67.881 * * [simplify]: iters left: 3 (168 enodes) 67.919 * * [simplify]: iters left: 2 (313 enodes) 68.009 * * [simplify]: Extracting #0: cost 1 inf + 0 68.009 * * [simplify]: Extracting #1: cost 3 inf + 0 68.009 * * [simplify]: Extracting #2: cost 5 inf + 0 68.009 * * [simplify]: Extracting #3: cost 17 inf + 0 68.009 * * [simplify]: Extracting #4: cost 70 inf + 1 68.009 * * [simplify]: Extracting #5: cost 140 inf + 6 68.010 * * [simplify]: Extracting #6: cost 161 inf + 137 68.010 * * [simplify]: Extracting #7: cost 157 inf + 431 68.011 * * [simplify]: Extracting #8: cost 153 inf + 677 68.013 * * [simplify]: Extracting #9: cost 85 inf + 14103 68.018 * * [simplify]: Extracting #10: cost 26 inf + 42695 68.026 * * [simplify]: Extracting #11: cost 0 inf + 65195 68.037 * [simplify]: Simplified to (* (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))) 68.037 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))) (/ (sqrt k) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))) 68.037 * * * * [progress]: [ 193 / 209 ] simplifiying candidate # 68.038 * [simplify]: Simplifying (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 68.038 * * [simplify]: iters left: 6 (15 enodes) 68.049 * * [simplify]: iters left: 5 (62 enodes) 68.068 * * [simplify]: iters left: 4 (101 enodes) 68.099 * * [simplify]: iters left: 3 (167 enodes) 68.158 * * [simplify]: iters left: 2 (315 enodes) 68.239 * * [simplify]: Extracting #0: cost 1 inf + 0 68.239 * * [simplify]: Extracting #1: cost 4 inf + 0 68.239 * * [simplify]: Extracting #2: cost 21 inf + 0 68.239 * * [simplify]: Extracting #3: cost 83 inf + 1 68.239 * * [simplify]: Extracting #4: cost 141 inf + 7 68.240 * * [simplify]: Extracting #5: cost 159 inf + 138 68.240 * * [simplify]: Extracting #6: cost 155 inf + 431 68.243 * * [simplify]: Extracting #7: cost 72 inf + 22328 68.250 * * [simplify]: Extracting #8: cost 9 inf + 59517 68.259 * * [simplify]: Extracting #9: cost 0 inf + 64941 68.280 * * [simplify]: Extracting #10: cost 0 inf + 64288 68.291 * [simplify]: Simplified to (sqrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) 68.291 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt k) (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))) 68.291 * * * * [progress]: [ 194 / 209 ] simplifiying candidate # 68.291 * * * * [progress]: [ 195 / 209 ] simplifiying candidate # 68.292 * [simplify]: Simplifying (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) 68.292 * * [simplify]: iters left: 6 (15 enodes) 68.296 * * [simplify]: iters left: 5 (65 enodes) 68.307 * * [simplify]: iters left: 4 (107 enodes) 68.330 * * [simplify]: iters left: 3 (179 enodes) 68.394 * * [simplify]: iters left: 2 (343 enodes) 68.499 * * [simplify]: Extracting #0: cost 1 inf + 0 68.499 * * [simplify]: Extracting #1: cost 13 inf + 0 68.499 * * [simplify]: Extracting #2: cost 73 inf + 1 68.500 * * [simplify]: Extracting #3: cost 153 inf + 7 68.501 * * [simplify]: Extracting #4: cost 178 inf + 139 68.504 * * [simplify]: Extracting #5: cost 135 inf + 6597 68.510 * * [simplify]: Extracting #6: cost 68 inf + 20653 68.524 * * [simplify]: Extracting #7: cost 12 inf + 56523 68.533 * * [simplify]: Extracting #8: cost 0 inf + 66990 68.542 * * [simplify]: Extracting #9: cost 0 inf + 66598 68.551 * [simplify]: Simplified to (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 4)) 68.551 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 4)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2))))) 68.551 * * * * [progress]: [ 196 / 209 ] simplifiying candidate # 68.551 * [simplify]: Simplifying (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ 1 2)) 68.551 * * [simplify]: iters left: 6 (13 enodes) 68.556 * * [simplify]: iters left: 5 (51 enodes) 68.575 * * [simplify]: iters left: 4 (87 enodes) 68.604 * * [simplify]: iters left: 3 (150 enodes) 68.645 * * [simplify]: iters left: 2 (282 enodes) 68.719 * * [simplify]: Extracting #0: cost 1 inf + 0 68.719 * * [simplify]: Extracting #1: cost 14 inf + 0 68.719 * * [simplify]: Extracting #2: cost 51 inf + 2 68.719 * * [simplify]: Extracting #3: cost 97 inf + 6 68.720 * * [simplify]: Extracting #4: cost 107 inf + 304 68.720 * * [simplify]: Extracting #5: cost 99 inf + 679 68.722 * * [simplify]: Extracting #6: cost 61 inf + 15971 68.726 * * [simplify]: Extracting #7: cost 16 inf + 39247 68.732 * * [simplify]: Extracting #8: cost 2 inf + 49106 68.738 * * [simplify]: Extracting #9: cost 0 inf + 50247 68.750 * * [simplify]: Extracting #10: cost 0 inf + 49986 68.758 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) 68.758 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (* (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (sqrt k) 2))))) 68.758 * * * * [progress]: [ 197 / 209 ] simplifiying candidate #real (real->posit16 (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k)))))> 68.758 * * * * [progress]: [ 198 / 209 ] simplifiying candidate # 68.759 * [simplify]: Simplifying (- (exp (+ (log n) (log (* 2 PI)))) (+ (* +nan.0 (* k (* (exp (+ (log n) (log (* 2 PI)))) (log (* 2 PI))))) (- (+ (* +nan.0 (* k (* (log n) (exp (+ (log n) (log (* 2 PI))))))) (- (+ (* +nan.0 (* (log n) (* (log (* 2 PI)) (* (exp (+ (log n) (log (* 2 PI)))) (pow k 2))))) (- (+ (* +nan.0 (* (exp (+ (log n) (log (* 2 PI)))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (+ (log n) (log (* 2 PI)))) (pow k 2)))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (+ (log n) (log (* 2 PI)))) (pow k 2)))) (- (* +nan.0 (* (exp (+ (log n) (log (* 2 PI)))) (* (pow (log n) 2) (pow k 2))))))))))))))))) 68.759 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow +nan.0 (/ (- 1 (sqrt k)) 2)) (sqrt k))) 68.759 * * * * [progress]: [ 199 / 209 ] simplifiying candidate # 68.759 * [simplify]: Simplifying (- (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (* (log (/ 1 n)) (log (* 2 PI)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (* 2 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (/ 1 n)) 2)) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n))) (pow k 2)))))))))))))))) 68.759 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow +nan.0 (/ (- 1 (sqrt k)) 2)) (sqrt k))) 68.760 * * * * [progress]: [ 200 / 209 ] simplifiying candidate # 68.760 * [simplify]: Simplifying (- (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (/ (* (pow (log (/ -1 n)) 2) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (pow (log (* -2 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI))) (pow k 2)))))))))))))))) 68.760 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow +nan.0 (/ (- 1 (sqrt k)) 2)) (sqrt k))) 68.760 * * * * [progress]: [ 201 / 209 ] simplifiying candidate # 68.760 * [simplify]: Simplifying (- (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))))))))))))) 68.760 * [simplify]: Simplified (2 1) to (λ (k n) (/ +nan.0 (sqrt k))) 68.761 * * * * [progress]: [ 202 / 209 ] simplifiying candidate # 68.761 * [simplify]: Simplifying (- (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (* (log (/ 1 n)) (log (* 2 PI)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (* 2 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (/ 1 n)) 2)) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n))) (pow k 2)))))))))))))))) 68.761 * [simplify]: Simplified (2 1) to (λ (k n) (/ +nan.0 (sqrt k))) 68.761 * * * * [progress]: [ 203 / 209 ] simplifiying candidate # 68.762 * [simplify]: Simplifying (- (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (/ (* (pow (log (/ -1 n)) 2) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (pow (log (* -2 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI))) (pow k 2)))))))))))))))) 68.762 * [simplify]: Simplified (2 1) to (λ (k n) (/ +nan.0 (sqrt k))) 68.762 * * * * [progress]: [ 204 / 209 ] simplifiying candidate # 68.762 * [simplify]: Simplifying (* 2 (* n PI)) 68.762 * * [simplify]: iters left: 4 (5 enodes) 68.764 * * [simplify]: iters left: 3 (19 enodes) 68.767 * * [simplify]: iters left: 2 (27 enodes) 68.771 * * [simplify]: iters left: 1 (32 enodes) 68.774 * * [simplify]: Extracting #0: cost 1 inf + 0 68.775 * * [simplify]: Extracting #1: cost 8 inf + 0 68.775 * * [simplify]: Extracting #2: cost 7 inf + 45 68.775 * * [simplify]: Extracting #3: cost 0 inf + 421 68.775 * [simplify]: Simplified to (* (* PI n) 2) 68.775 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (pow (* (* PI n) 2) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 68.775 * * * * [progress]: [ 205 / 209 ] simplifiying candidate # 68.775 * [simplify]: Simplifying (* 2 (* n PI)) 68.775 * * [simplify]: iters left: 4 (5 enodes) 68.777 * * [simplify]: iters left: 3 (19 enodes) 68.780 * * [simplify]: iters left: 2 (27 enodes) 68.785 * * [simplify]: iters left: 1 (32 enodes) 68.792 * * [simplify]: Extracting #0: cost 1 inf + 0 68.793 * * [simplify]: Extracting #1: cost 8 inf + 0 68.793 * * [simplify]: Extracting #2: cost 7 inf + 45 68.793 * * [simplify]: Extracting #3: cost 0 inf + 421 68.793 * [simplify]: Simplified to (* (* PI n) 2) 68.793 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (pow (* (* PI n) 2) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 68.793 * * * * [progress]: [ 206 / 209 ] simplifiying candidate # 68.794 * [simplify]: Simplifying (* 2 (* n PI)) 68.794 * * [simplify]: iters left: 4 (5 enodes) 68.797 * * [simplify]: iters left: 3 (19 enodes) 68.800 * * [simplify]: iters left: 2 (27 enodes) 68.804 * * [simplify]: iters left: 1 (32 enodes) 68.810 * * [simplify]: Extracting #0: cost 1 inf + 0 68.810 * * [simplify]: Extracting #1: cost 8 inf + 0 68.810 * * [simplify]: Extracting #2: cost 7 inf + 45 68.810 * * [simplify]: Extracting #3: cost 0 inf + 421 68.810 * [simplify]: Simplified to (* (* PI n) 2) 68.810 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (pow (* (* PI n) 2) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 68.810 * * * * [progress]: [ 207 / 209 ] simplifiying candidate # 68.810 * [simplify]: Simplifying (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))))))))))))))))))) 68.811 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 68.811 * * * * [progress]: [ 208 / 209 ] simplifiying candidate # 68.811 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) k)) (- (+ (* +nan.0 (/ (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI))) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n))) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (* (log (/ 1 n)) (log (* 2 PI)))) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (/ 1 n)) 2)) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (* 2 PI)) 2)) (pow k 3)))))))))))))))))))))) 68.811 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 68.812 * * * * [progress]: [ 209 / 209 ] simplifiying candidate # 68.812 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (* (pow (log (/ -1 n)) 2) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI))) k)) (- (+ (* +nan.0 (/ (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (pow (log (* -2 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (pow k 2))) (- (+ (* +nan.0 (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (- (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI))) (pow k 2)))))))))))))))))))))) 68.812 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 68.812 * * * [progress]: adding candidates to table 71.521 * * [progress]: iteration 3 / 4 71.521 * * * [progress]: picking best candidate 71.565 * * * * [pick]: Picked # 71.565 * * * [progress]: localizing error 71.630 * * * [progress]: generating rewritten candidates 71.630 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 71.644 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 71.663 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1) 71.675 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 71.699 * * * [progress]: generating series expansions 71.699 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 71.700 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) into (pow (* 2 (* n PI)) (+ (sqrt k) 1)) 71.700 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (+ (sqrt k) 1)) in (n k) around 0 71.700 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (+ (sqrt k) 1)) in k 71.700 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) 1) (log (* 2 (* n PI))))) in k 71.700 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (log (* 2 (* n PI)))) in k 71.700 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in k 71.700 * [taylor]: Taking taylor expansion of (sqrt k) in k 71.700 * [taylor]: Taking taylor expansion of k in k 71.700 * [backup-simplify]: Simplify 0 into 0 71.700 * [backup-simplify]: Simplify 1 into 1 71.701 * [backup-simplify]: Simplify (sqrt 0) into 0 71.703 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 71.703 * [taylor]: Taking taylor expansion of 1 in k 71.703 * [backup-simplify]: Simplify 1 into 1 71.703 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 71.703 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 71.703 * [taylor]: Taking taylor expansion of 2 in k 71.703 * [backup-simplify]: Simplify 2 into 2 71.703 * [taylor]: Taking taylor expansion of (* n PI) in k 71.703 * [taylor]: Taking taylor expansion of n in k 71.703 * [backup-simplify]: Simplify n into n 71.703 * [taylor]: Taking taylor expansion of PI in k 71.703 * [backup-simplify]: Simplify PI into PI 71.703 * [backup-simplify]: Simplify (* n PI) into (* n PI) 71.703 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 71.703 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 71.704 * [backup-simplify]: Simplify (+ 0 1) into 1 71.704 * [backup-simplify]: Simplify (* 1 (log (* 2 (* n PI)))) into (log (* 2 (* n PI))) 71.704 * [backup-simplify]: Simplify (exp (log (* 2 (* n PI)))) into (* 2 (* n PI)) 71.704 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (+ (sqrt k) 1)) in n 71.704 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) 1) (log (* 2 (* n PI))))) in n 71.704 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (log (* 2 (* n PI)))) in n 71.704 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in n 71.704 * [taylor]: Taking taylor expansion of (sqrt k) in n 71.704 * [taylor]: Taking taylor expansion of k in n 71.704 * [backup-simplify]: Simplify k into k 71.704 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 71.704 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 71.704 * [taylor]: Taking taylor expansion of 1 in n 71.704 * [backup-simplify]: Simplify 1 into 1 71.704 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 71.704 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 71.704 * [taylor]: Taking taylor expansion of 2 in n 71.704 * [backup-simplify]: Simplify 2 into 2 71.704 * [taylor]: Taking taylor expansion of (* n PI) in n 71.704 * [taylor]: Taking taylor expansion of n in n 71.704 * [backup-simplify]: Simplify 0 into 0 71.704 * [backup-simplify]: Simplify 1 into 1 71.704 * [taylor]: Taking taylor expansion of PI in n 71.704 * [backup-simplify]: Simplify PI into PI 71.705 * [backup-simplify]: Simplify (* 0 PI) into 0 71.705 * [backup-simplify]: Simplify (* 2 0) into 0 71.709 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 71.710 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 71.711 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 71.711 * [backup-simplify]: Simplify (+ (sqrt k) 1) into (+ (sqrt k) 1) 71.712 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 71.712 * [backup-simplify]: Simplify (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) into (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) 71.713 * [backup-simplify]: Simplify (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) into (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 71.713 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (+ (sqrt k) 1)) in n 71.713 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) 1) (log (* 2 (* n PI))))) in n 71.713 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (log (* 2 (* n PI)))) in n 71.713 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in n 71.713 * [taylor]: Taking taylor expansion of (sqrt k) in n 71.713 * [taylor]: Taking taylor expansion of k in n 71.713 * [backup-simplify]: Simplify k into k 71.713 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 71.713 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 71.713 * [taylor]: Taking taylor expansion of 1 in n 71.713 * [backup-simplify]: Simplify 1 into 1 71.713 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 71.713 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 71.713 * [taylor]: Taking taylor expansion of 2 in n 71.713 * [backup-simplify]: Simplify 2 into 2 71.713 * [taylor]: Taking taylor expansion of (* n PI) in n 71.713 * [taylor]: Taking taylor expansion of n in n 71.713 * [backup-simplify]: Simplify 0 into 0 71.713 * [backup-simplify]: Simplify 1 into 1 71.713 * [taylor]: Taking taylor expansion of PI in n 71.713 * [backup-simplify]: Simplify PI into PI 71.714 * [backup-simplify]: Simplify (* 0 PI) into 0 71.714 * [backup-simplify]: Simplify (* 2 0) into 0 71.715 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 71.716 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 71.717 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 71.717 * [backup-simplify]: Simplify (+ (sqrt k) 1) into (+ (sqrt k) 1) 71.717 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 71.718 * [backup-simplify]: Simplify (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) into (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) 71.719 * [backup-simplify]: Simplify (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) into (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 71.719 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) in k 71.719 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) in k 71.719 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in k 71.719 * [taylor]: Taking taylor expansion of (sqrt k) in k 71.719 * [taylor]: Taking taylor expansion of k in k 71.719 * [backup-simplify]: Simplify 0 into 0 71.719 * [backup-simplify]: Simplify 1 into 1 71.719 * [backup-simplify]: Simplify (sqrt 0) into 0 71.720 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 71.720 * [taylor]: Taking taylor expansion of 1 in k 71.720 * [backup-simplify]: Simplify 1 into 1 71.720 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 71.720 * [taylor]: Taking taylor expansion of (log n) in k 71.720 * [taylor]: Taking taylor expansion of n in k 71.720 * [backup-simplify]: Simplify n into n 71.720 * [backup-simplify]: Simplify (log n) into (log n) 71.720 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 71.720 * [taylor]: Taking taylor expansion of (* 2 PI) in k 71.720 * [taylor]: Taking taylor expansion of 2 in k 71.720 * [backup-simplify]: Simplify 2 into 2 71.720 * [taylor]: Taking taylor expansion of PI in k 71.720 * [backup-simplify]: Simplify PI into PI 71.721 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 71.721 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 71.722 * [backup-simplify]: Simplify (+ 0 1) into 1 71.722 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 71.723 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 71.723 * [backup-simplify]: Simplify (exp (+ (log n) (log (* 2 PI)))) into (exp (+ (log n) (log (* 2 PI)))) 71.724 * [backup-simplify]: Simplify (exp (+ (log n) (log (* 2 PI)))) into (exp (+ (log n) (log (* 2 PI)))) 71.725 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 71.725 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 71.726 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 71.727 * [backup-simplify]: Simplify (+ 0 0) into 0 71.727 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 71.728 * [backup-simplify]: Simplify (+ (* (+ (sqrt k) 1) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 71.729 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 71.729 * [taylor]: Taking taylor expansion of 0 in k 71.729 * [backup-simplify]: Simplify 0 into 0 71.729 * [backup-simplify]: Simplify 0 into 0 71.730 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 71.730 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 71.731 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 71.731 * [backup-simplify]: Simplify (+ 0 0) into 0 71.732 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 71.733 * [backup-simplify]: Simplify (+ (* 1 0) (* (- +nan.0) (+ (log n) (log (* 2 PI))))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 71.735 * [backup-simplify]: Simplify (* (exp (+ (log n) (log (* 2 PI)))) (+ (* (/ (pow (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (+ (log n) (log (* 2 PI)))))) 71.738 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (+ (log n) (log (* 2 PI)))))) into (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (+ (log n) (log (* 2 PI))))) 71.740 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 71.741 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 71.744 * [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 71.745 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 71.745 * [backup-simplify]: Simplify (+ 0 0) into 0 71.747 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 71.748 * [backup-simplify]: Simplify (+ (* (+ (sqrt k) 1) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 71.751 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 71.751 * [taylor]: Taking taylor expansion of 0 in k 71.751 * [backup-simplify]: Simplify 0 into 0 71.751 * [backup-simplify]: Simplify 0 into 0 71.751 * [backup-simplify]: Simplify 0 into 0 71.753 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 71.754 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 71.757 * [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 71.758 * [backup-simplify]: Simplify (+ 0 0) into 0 71.761 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 71.761 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 71.764 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (+ (log n) (log (* 2 PI)))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 71.770 * [backup-simplify]: Simplify (* (exp (+ (log n) (log (* 2 PI)))) (+ (* (/ (pow (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (+ (log n) (log (* 2 PI)))))) 71.776 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (+ (log n) (log (* 2 PI)))))) into (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log (* 2 PI))))))))))) (exp (+ (log n) (log (* 2 PI))))) 71.791 * [backup-simplify]: Simplify (+ (* (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log (* 2 PI))))))))))) (exp (+ (log n) (log (* 2 PI))))) (pow (* k 1) 2)) (+ (* (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (+ (log n) (log (* 2 PI))))) (* k 1)) (exp (+ (log n) (log (* 2 PI)))))) into (- (exp (+ (log n) (log (* 2 PI)))) (+ (* +nan.0 (* k (* (exp (+ (log n) (log (* 2 PI)))) (log (* 2 PI))))) (- (+ (* +nan.0 (* k (* (log n) (exp (+ (log n) (log (* 2 PI))))))) (- (+ (* +nan.0 (* (log n) (* (log (* 2 PI)) (* (exp (+ (log n) (log (* 2 PI)))) (pow k 2))))) (- (+ (* +nan.0 (* (exp (+ (log n) (log (* 2 PI)))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (+ (log n) (log (* 2 PI)))) (pow k 2)))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (+ (log n) (log (* 2 PI)))) (pow k 2)))) (- (* +nan.0 (* (exp (+ (log n) (log (* 2 PI)))) (* (pow (log n) 2) (pow k 2))))))))))))))))) 71.792 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (+ 1 (sqrt (/ 1 k))) 1)) into (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) 71.792 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) in (n k) around 0 71.792 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) in k 71.792 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n))))) in k 71.792 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n)))) in k 71.792 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in k 71.792 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 71.792 * [taylor]: Taking taylor expansion of (/ 1 k) in k 71.792 * [taylor]: Taking taylor expansion of k in k 71.792 * [backup-simplify]: Simplify 0 into 0 71.792 * [backup-simplify]: Simplify 1 into 1 71.792 * [backup-simplify]: Simplify (/ 1 1) into 1 71.792 * [backup-simplify]: Simplify (sqrt 0) into 0 71.793 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 71.793 * [taylor]: Taking taylor expansion of 1 in k 71.793 * [backup-simplify]: Simplify 1 into 1 71.793 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 71.793 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 71.793 * [taylor]: Taking taylor expansion of 2 in k 71.793 * [backup-simplify]: Simplify 2 into 2 71.793 * [taylor]: Taking taylor expansion of (/ PI n) in k 71.793 * [taylor]: Taking taylor expansion of PI in k 71.793 * [backup-simplify]: Simplify PI into PI 71.793 * [taylor]: Taking taylor expansion of n in k 71.793 * [backup-simplify]: Simplify n into n 71.793 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 71.793 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 71.794 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 71.794 * [backup-simplify]: Simplify (+ 0 0) into 0 71.794 * [backup-simplify]: Simplify (* 0 (log (* 2 (/ PI n)))) into 0 71.794 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 71.794 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ PI n))) into 0 71.795 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (/ PI n)) 1)))) 1) into 0 71.795 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 71.796 * [backup-simplify]: Simplify (+ (* 0 0) (* (- +nan.0) (log (* 2 (/ PI n))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 71.796 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 71.796 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) in n 71.796 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n))))) in n 71.796 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n)))) in n 71.796 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in n 71.796 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 71.796 * [taylor]: Taking taylor expansion of (/ 1 k) in n 71.796 * [taylor]: Taking taylor expansion of k in n 71.796 * [backup-simplify]: Simplify k into k 71.796 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 71.796 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 71.796 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 71.796 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 71.796 * [taylor]: Taking taylor expansion of 1 in n 71.796 * [backup-simplify]: Simplify 1 into 1 71.796 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 71.796 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 71.796 * [taylor]: Taking taylor expansion of 2 in n 71.796 * [backup-simplify]: Simplify 2 into 2 71.796 * [taylor]: Taking taylor expansion of (/ PI n) in n 71.796 * [taylor]: Taking taylor expansion of PI in n 71.796 * [backup-simplify]: Simplify PI into PI 71.796 * [taylor]: Taking taylor expansion of n in n 71.796 * [backup-simplify]: Simplify 0 into 0 71.796 * [backup-simplify]: Simplify 1 into 1 71.796 * [backup-simplify]: Simplify (/ PI 1) into PI 71.797 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 71.797 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 71.797 * [backup-simplify]: Simplify (+ (sqrt (/ 1 k)) 1) into (+ (sqrt (/ 1 k)) 1) 71.798 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 71.799 * [backup-simplify]: Simplify (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) into (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) 71.800 * [backup-simplify]: Simplify (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) into (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 71.800 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) in n 71.800 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n))))) in n 71.800 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n)))) in n 71.800 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in n 71.800 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 71.800 * [taylor]: Taking taylor expansion of (/ 1 k) in n 71.800 * [taylor]: Taking taylor expansion of k in n 71.800 * [backup-simplify]: Simplify k into k 71.800 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 71.800 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 71.800 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 71.800 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 71.800 * [taylor]: Taking taylor expansion of 1 in n 71.800 * [backup-simplify]: Simplify 1 into 1 71.800 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 71.800 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 71.800 * [taylor]: Taking taylor expansion of 2 in n 71.800 * [backup-simplify]: Simplify 2 into 2 71.800 * [taylor]: Taking taylor expansion of (/ PI n) in n 71.800 * [taylor]: Taking taylor expansion of PI in n 71.800 * [backup-simplify]: Simplify PI into PI 71.800 * [taylor]: Taking taylor expansion of n in n 71.800 * [backup-simplify]: Simplify 0 into 0 71.800 * [backup-simplify]: Simplify 1 into 1 71.800 * [backup-simplify]: Simplify (/ PI 1) into PI 71.801 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 71.801 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 71.801 * [backup-simplify]: Simplify (+ (sqrt (/ 1 k)) 1) into (+ (sqrt (/ 1 k)) 1) 71.802 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 71.803 * [backup-simplify]: Simplify (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) into (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) 71.804 * [backup-simplify]: Simplify (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) into (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 71.804 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) in k 71.804 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) in k 71.804 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in k 71.804 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 71.804 * [taylor]: Taking taylor expansion of (/ 1 k) in k 71.804 * [taylor]: Taking taylor expansion of k in k 71.804 * [backup-simplify]: Simplify 0 into 0 71.804 * [backup-simplify]: Simplify 1 into 1 71.804 * [backup-simplify]: Simplify (/ 1 1) into 1 71.804 * [backup-simplify]: Simplify (sqrt 0) into 0 71.805 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 71.805 * [taylor]: Taking taylor expansion of 1 in k 71.805 * [backup-simplify]: Simplify 1 into 1 71.805 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 71.805 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 71.805 * [taylor]: Taking taylor expansion of (* 2 PI) in k 71.805 * [taylor]: Taking taylor expansion of 2 in k 71.805 * [backup-simplify]: Simplify 2 into 2 71.805 * [taylor]: Taking taylor expansion of PI in k 71.805 * [backup-simplify]: Simplify PI into PI 71.806 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 71.806 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 71.806 * [taylor]: Taking taylor expansion of (log n) in k 71.806 * [taylor]: Taking taylor expansion of n in k 71.806 * [backup-simplify]: Simplify n into n 71.806 * [backup-simplify]: Simplify (log n) into (log n) 71.807 * [backup-simplify]: Simplify (+ 0 0) into 0 71.807 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 71.807 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 71.808 * [backup-simplify]: Simplify (* 0 (- (log (* 2 PI)) (log n))) into 0 71.808 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 71.809 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 71.810 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 71.810 * [backup-simplify]: Simplify (- 0) into 0 71.810 * [backup-simplify]: Simplify (+ 0 0) into 0 71.810 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 71.811 * [backup-simplify]: Simplify (+ (* 0 0) (* (- +nan.0) (- (log (* 2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 71.813 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) 71.819 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) 71.820 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 71.821 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 71.823 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 71.823 * [backup-simplify]: Simplify (+ 0 0) into 0 71.824 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 71.826 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ 1 k)) 1) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 71.828 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 71.828 * [taylor]: Taking taylor expansion of 0 in k 71.828 * [backup-simplify]: Simplify 0 into 0 71.828 * [backup-simplify]: Simplify 0 into 0 71.829 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 71.832 * [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 71.834 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 71.834 * [backup-simplify]: Simplify (- 0) into 0 71.835 * [backup-simplify]: Simplify (+ 0 0) into 0 71.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 71.838 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 71.839 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 71.841 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (- (log (* 2 PI)) (log n))))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 71.846 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) 71.852 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) into (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) 71.853 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 71.854 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 71.857 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 71.857 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 71.858 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 71.859 * [backup-simplify]: Simplify (+ 0 0) into 0 71.860 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 71.862 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ 1 k)) 1) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 71.863 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 71.863 * [taylor]: Taking taylor expansion of 0 in k 71.863 * [backup-simplify]: Simplify 0 into 0 71.863 * [backup-simplify]: Simplify 0 into 0 71.863 * [backup-simplify]: Simplify 0 into 0 71.864 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 71.868 * [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 71.871 * [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 71.871 * [backup-simplify]: Simplify (- 0) into 0 71.872 * [backup-simplify]: Simplify (+ 0 0) into 0 71.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 71.876 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 71.877 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 71.880 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (- (log (* 2 PI)) (log n)))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 71.887 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) 71.896 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) into (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log (* 2 PI))))))))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) 71.917 * [backup-simplify]: Simplify (+ (* (* (+ (* +nan.0 (pow (log (/ 1 n)) 2)) (- (+ (* +nan.0 (* (log (/ 1 n)) (log (* 2 PI)))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log (* 2 PI))))))))))) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI)))))))) (pow (* (/ 1 k) 1) 2)) (+ (* (* (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI)))))))) (* (/ 1 k) 1)) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))))) into (- (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (* (log (/ 1 n)) (log (* 2 PI)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (* 2 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (/ 1 n)) 2)) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n))) (pow k 2)))))))))))))))) 71.918 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (+ 1 (sqrt (/ 1 (- k)))) 1)) into (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) 71.918 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) in (n k) around 0 71.918 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) in k 71.918 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n))))) in k 71.918 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n)))) in k 71.918 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in k 71.918 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 71.918 * [taylor]: Taking taylor expansion of (/ -1 k) in k 71.918 * [taylor]: Taking taylor expansion of -1 in k 71.918 * [backup-simplify]: Simplify -1 into -1 71.918 * [taylor]: Taking taylor expansion of k in k 71.918 * [backup-simplify]: Simplify 0 into 0 71.918 * [backup-simplify]: Simplify 1 into 1 71.919 * [backup-simplify]: Simplify (/ -1 1) into -1 71.919 * [backup-simplify]: Simplify (sqrt 0) into 0 71.920 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 71.920 * [taylor]: Taking taylor expansion of 1 in k 71.921 * [backup-simplify]: Simplify 1 into 1 71.921 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 71.921 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 71.921 * [taylor]: Taking taylor expansion of -2 in k 71.921 * [backup-simplify]: Simplify -2 into -2 71.921 * [taylor]: Taking taylor expansion of (/ PI n) in k 71.921 * [taylor]: Taking taylor expansion of PI in k 71.921 * [backup-simplify]: Simplify PI into PI 71.921 * [taylor]: Taking taylor expansion of n in k 71.921 * [backup-simplify]: Simplify n into n 71.921 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 71.921 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 71.921 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 71.921 * [backup-simplify]: Simplify (+ 0 0) into 0 71.921 * [backup-simplify]: Simplify (* 0 (log (* -2 (/ PI n)))) into 0 71.922 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 71.922 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (/ PI n))) into 0 71.923 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 (/ PI n)) 1)))) 1) into 0 71.923 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 71.924 * [backup-simplify]: Simplify (+ (* 0 0) (* (- +nan.0) (log (* -2 (/ PI n))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 71.924 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) 71.924 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) in n 71.924 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n))))) in n 71.924 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n)))) in n 71.924 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in n 71.924 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 71.924 * [taylor]: Taking taylor expansion of (/ -1 k) in n 71.924 * [taylor]: Taking taylor expansion of -1 in n 71.925 * [backup-simplify]: Simplify -1 into -1 71.925 * [taylor]: Taking taylor expansion of k in n 71.925 * [backup-simplify]: Simplify k into k 71.925 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 71.925 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 71.925 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 71.925 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 71.925 * [taylor]: Taking taylor expansion of 1 in n 71.925 * [backup-simplify]: Simplify 1 into 1 71.925 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 71.925 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 71.925 * [taylor]: Taking taylor expansion of -2 in n 71.925 * [backup-simplify]: Simplify -2 into -2 71.925 * [taylor]: Taking taylor expansion of (/ PI n) in n 71.925 * [taylor]: Taking taylor expansion of PI in n 71.925 * [backup-simplify]: Simplify PI into PI 71.925 * [taylor]: Taking taylor expansion of n in n 71.925 * [backup-simplify]: Simplify 0 into 0 71.925 * [backup-simplify]: Simplify 1 into 1 71.926 * [backup-simplify]: Simplify (/ PI 1) into PI 71.926 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 71.927 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 71.927 * [backup-simplify]: Simplify (+ (sqrt (/ -1 k)) 1) into (+ (sqrt (/ -1 k)) 1) 71.929 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 71.930 * [backup-simplify]: Simplify (* (+ (sqrt (/ -1 k)) 1) (- (log (* -2 PI)) (log n))) into (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) 71.931 * [backup-simplify]: Simplify (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) into (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) 71.931 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) in n 71.931 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n))))) in n 71.931 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n)))) in n 71.931 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in n 71.931 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 71.931 * [taylor]: Taking taylor expansion of (/ -1 k) in n 71.931 * [taylor]: Taking taylor expansion of -1 in n 71.931 * [backup-simplify]: Simplify -1 into -1 71.932 * [taylor]: Taking taylor expansion of k in n 71.932 * [backup-simplify]: Simplify k into k 71.932 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 71.932 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 71.932 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 71.932 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 71.932 * [taylor]: Taking taylor expansion of 1 in n 71.932 * [backup-simplify]: Simplify 1 into 1 71.932 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 71.932 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 71.932 * [taylor]: Taking taylor expansion of -2 in n 71.932 * [backup-simplify]: Simplify -2 into -2 71.932 * [taylor]: Taking taylor expansion of (/ PI n) in n 71.932 * [taylor]: Taking taylor expansion of PI in n 71.932 * [backup-simplify]: Simplify PI into PI 71.932 * [taylor]: Taking taylor expansion of n in n 71.932 * [backup-simplify]: Simplify 0 into 0 71.932 * [backup-simplify]: Simplify 1 into 1 71.933 * [backup-simplify]: Simplify (/ PI 1) into PI 71.933 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 71.934 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 71.934 * [backup-simplify]: Simplify (+ (sqrt (/ -1 k)) 1) into (+ (sqrt (/ -1 k)) 1) 71.936 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 71.937 * [backup-simplify]: Simplify (* (+ (sqrt (/ -1 k)) 1) (- (log (* -2 PI)) (log n))) into (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) 71.938 * [backup-simplify]: Simplify (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) into (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) 71.938 * [taylor]: Taking taylor expansion of (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) in k 71.938 * [taylor]: Taking taylor expansion of (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) in k 71.938 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 71.938 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 71.938 * [taylor]: Taking taylor expansion of (* -2 PI) in k 71.938 * [taylor]: Taking taylor expansion of -2 in k 71.938 * [backup-simplify]: Simplify -2 into -2 71.938 * [taylor]: Taking taylor expansion of PI in k 71.938 * [backup-simplify]: Simplify PI into PI 71.939 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 71.940 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 71.940 * [taylor]: Taking taylor expansion of (log n) in k 71.940 * [taylor]: Taking taylor expansion of n in k 71.940 * [backup-simplify]: Simplify n into n 71.940 * [backup-simplify]: Simplify (log n) into (log n) 71.940 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in k 71.940 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 71.940 * [taylor]: Taking taylor expansion of (/ -1 k) in k 71.940 * [taylor]: Taking taylor expansion of -1 in k 71.940 * [backup-simplify]: Simplify -1 into -1 71.940 * [taylor]: Taking taylor expansion of k in k 71.940 * [backup-simplify]: Simplify 0 into 0 71.940 * [backup-simplify]: Simplify 1 into 1 71.940 * [backup-simplify]: Simplify (/ -1 1) into -1 71.941 * [backup-simplify]: Simplify (sqrt 0) into 0 71.942 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 71.942 * [taylor]: Taking taylor expansion of 1 in k 71.942 * [backup-simplify]: Simplify 1 into 1 71.942 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 71.943 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 71.944 * [backup-simplify]: Simplify (+ 0 0) into 0 71.945 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) 0) into 0 71.945 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 71.946 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 71.948 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 71.949 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 71.949 * [backup-simplify]: Simplify (- 0) into 0 71.949 * [backup-simplify]: Simplify (+ 0 0) into 0 71.951 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) (- +nan.0)) (* 0 0)) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 71.960 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) 71.962 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) 71.963 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 71.964 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 71.966 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 71.967 * [backup-simplify]: Simplify (+ 0 0) into 0 71.968 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 71.969 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ -1 k)) 1) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 71.971 * [backup-simplify]: Simplify (* (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) (+ (* (/ (pow 0 1) 1)))) into 0 71.971 * [taylor]: Taking taylor expansion of 0 in k 71.971 * [backup-simplify]: Simplify 0 into 0 71.971 * [backup-simplify]: Simplify 0 into 0 71.972 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 71.975 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 71.976 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 71.977 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 71.980 * [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 71.982 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 71.983 * [backup-simplify]: Simplify (- 0) into 0 71.983 * [backup-simplify]: Simplify (+ 0 0) into 0 71.985 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 71.989 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 1) 1)))) into (* -1 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) 71.992 * [backup-simplify]: Simplify (* -1 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) into (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 71.993 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 71.993 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 71.995 * [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 71.995 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 71.996 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 71.996 * [backup-simplify]: Simplify (+ 0 0) into 0 71.997 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 71.998 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ -1 k)) 1) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 71.999 * [backup-simplify]: Simplify (* (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 71.999 * [taylor]: Taking taylor expansion of 0 in k 71.999 * [backup-simplify]: Simplify 0 into 0 71.999 * [backup-simplify]: Simplify 0 into 0 71.999 * [backup-simplify]: Simplify 0 into 0 72.000 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 72.002 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 72.002 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 72.003 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 72.006 * [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 72.008 * [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 72.008 * [backup-simplify]: Simplify (- 0) into 0 72.008 * [backup-simplify]: Simplify (+ 0 0) into 0 72.010 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 72.014 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 1) 1)))) into (* -1 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (pow (log (* -2 PI)) 2)) (- (+ (* +nan.0 (* (log n) (log (* -2 PI)))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))))))) 72.020 * [backup-simplify]: Simplify (* -1 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (pow (log (* -2 PI)) 2)) (- (+ (* +nan.0 (* (log n) (log (* -2 PI)))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))))))) into (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* -2 PI)))) (- (+ (* +nan.0 (pow (log (* -2 PI)) 2)) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))))))) 72.030 * [backup-simplify]: Simplify (+ (* (* (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (pow (log (/ 1 (- n))) 2)) (- (+ (* +nan.0 (* (log (/ 1 (- n))) (log (* -2 PI)))) (- (+ (* +nan.0 (pow (log (* -2 PI)) 2)) (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI)))))))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (* (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI)))))) (* (/ 1 (- k)) 1)) (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))))) into (- (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (/ (* (pow (log (/ -1 n)) 2) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (pow (log (* -2 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI))) (pow k 2)))))))))))))))) 72.030 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 72.031 * [backup-simplify]: Simplify (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) into (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k)))) 72.031 * [approximate]: Taking taylor expansion of (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k)))) in (n k) around 0 72.031 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k)))) in k 72.031 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))))) in k 72.031 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1)))) in k 72.031 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt k))) in k 72.031 * [taylor]: Taking taylor expansion of 1/2 in k 72.031 * [backup-simplify]: Simplify 1/2 into 1/2 72.031 * [taylor]: Taking taylor expansion of (- 1 (sqrt k)) in k 72.031 * [taylor]: Taking taylor expansion of 1 in k 72.031 * [backup-simplify]: Simplify 1 into 1 72.031 * [taylor]: Taking taylor expansion of (sqrt k) in k 72.031 * [taylor]: Taking taylor expansion of k in k 72.031 * [backup-simplify]: Simplify 0 into 0 72.031 * [backup-simplify]: Simplify 1 into 1 72.031 * [backup-simplify]: Simplify (sqrt 0) into 0 72.032 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 72.032 * [taylor]: Taking taylor expansion of (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))) in k 72.032 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (+ (sqrt k) 1)) in k 72.032 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) 1) (log (* 2 (* n PI))))) in k 72.032 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (log (* 2 (* n PI)))) in k 72.032 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in k 72.032 * [taylor]: Taking taylor expansion of (sqrt k) in k 72.032 * [taylor]: Taking taylor expansion of k in k 72.032 * [backup-simplify]: Simplify 0 into 0 72.033 * [backup-simplify]: Simplify 1 into 1 72.033 * [backup-simplify]: Simplify (sqrt 0) into 0 72.033 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 72.034 * [taylor]: Taking taylor expansion of 1 in k 72.034 * [backup-simplify]: Simplify 1 into 1 72.034 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 72.034 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 72.034 * [taylor]: Taking taylor expansion of 2 in k 72.034 * [backup-simplify]: Simplify 2 into 2 72.034 * [taylor]: Taking taylor expansion of (* n PI) in k 72.034 * [taylor]: Taking taylor expansion of n in k 72.034 * [backup-simplify]: Simplify n into n 72.034 * [taylor]: Taking taylor expansion of PI in k 72.034 * [backup-simplify]: Simplify PI into PI 72.034 * [backup-simplify]: Simplify (* n PI) into (* n PI) 72.034 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 72.034 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 72.034 * [backup-simplify]: Simplify (+ 0 1) into 1 72.034 * [backup-simplify]: Simplify (* 1 (log (* 2 (* n PI)))) into (log (* 2 (* n PI))) 72.034 * [backup-simplify]: Simplify (exp (log (* 2 (* n PI)))) into (* 2 (* n PI)) 72.034 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 72.035 * [backup-simplify]: Simplify (- 0) into 0 72.035 * [backup-simplify]: Simplify (+ 1 0) into 1 72.035 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 72.035 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 72.035 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 72.035 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k)))) in n 72.035 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))))) in n 72.035 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1)))) in n 72.035 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt k))) in n 72.035 * [taylor]: Taking taylor expansion of 1/2 in n 72.035 * [backup-simplify]: Simplify 1/2 into 1/2 72.035 * [taylor]: Taking taylor expansion of (- 1 (sqrt k)) in n 72.035 * [taylor]: Taking taylor expansion of 1 in n 72.035 * [backup-simplify]: Simplify 1 into 1 72.035 * [taylor]: Taking taylor expansion of (sqrt k) in n 72.035 * [taylor]: Taking taylor expansion of k in n 72.035 * [backup-simplify]: Simplify k into k 72.035 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 72.035 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 72.035 * [taylor]: Taking taylor expansion of (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))) in n 72.036 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (+ (sqrt k) 1)) in n 72.036 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) 1) (log (* 2 (* n PI))))) in n 72.036 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (log (* 2 (* n PI)))) in n 72.036 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in n 72.036 * [taylor]: Taking taylor expansion of (sqrt k) in n 72.036 * [taylor]: Taking taylor expansion of k in n 72.036 * [backup-simplify]: Simplify k into k 72.036 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 72.036 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 72.036 * [taylor]: Taking taylor expansion of 1 in n 72.036 * [backup-simplify]: Simplify 1 into 1 72.036 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 72.036 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 72.036 * [taylor]: Taking taylor expansion of 2 in n 72.036 * [backup-simplify]: Simplify 2 into 2 72.036 * [taylor]: Taking taylor expansion of (* n PI) in n 72.036 * [taylor]: Taking taylor expansion of n in n 72.036 * [backup-simplify]: Simplify 0 into 0 72.036 * [backup-simplify]: Simplify 1 into 1 72.036 * [taylor]: Taking taylor expansion of PI in n 72.036 * [backup-simplify]: Simplify PI into PI 72.036 * [backup-simplify]: Simplify (* 0 PI) into 0 72.036 * [backup-simplify]: Simplify (* 2 0) into 0 72.037 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 72.038 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 72.039 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 72.039 * [backup-simplify]: Simplify (+ (sqrt k) 1) into (+ (sqrt k) 1) 72.040 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 72.040 * [backup-simplify]: Simplify (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) into (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) 72.041 * [backup-simplify]: Simplify (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) into (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 72.042 * [backup-simplify]: Simplify (log (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))))) into (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) 72.042 * [backup-simplify]: Simplify (- (sqrt k)) into (- (sqrt k)) 72.042 * [backup-simplify]: Simplify (+ 1 (- (sqrt k))) into (- 1 (sqrt k)) 72.042 * [backup-simplify]: Simplify (* 1/2 (- 1 (sqrt k))) into (* 1/2 (- 1 (sqrt k))) 72.043 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (sqrt k))) (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) into (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI)))))) 72.043 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) into (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) 72.043 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k)))) in n 72.043 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))))) in n 72.043 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1)))) in n 72.043 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt k))) in n 72.043 * [taylor]: Taking taylor expansion of 1/2 in n 72.043 * [backup-simplify]: Simplify 1/2 into 1/2 72.043 * [taylor]: Taking taylor expansion of (- 1 (sqrt k)) in n 72.043 * [taylor]: Taking taylor expansion of 1 in n 72.043 * [backup-simplify]: Simplify 1 into 1 72.043 * [taylor]: Taking taylor expansion of (sqrt k) in n 72.043 * [taylor]: Taking taylor expansion of k in n 72.043 * [backup-simplify]: Simplify k into k 72.043 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 72.044 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 72.044 * [taylor]: Taking taylor expansion of (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))) in n 72.044 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (+ (sqrt k) 1)) in n 72.044 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) 1) (log (* 2 (* n PI))))) in n 72.044 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (log (* 2 (* n PI)))) in n 72.044 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in n 72.044 * [taylor]: Taking taylor expansion of (sqrt k) in n 72.044 * [taylor]: Taking taylor expansion of k in n 72.044 * [backup-simplify]: Simplify k into k 72.044 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 72.044 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 72.044 * [taylor]: Taking taylor expansion of 1 in n 72.044 * [backup-simplify]: Simplify 1 into 1 72.044 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 72.044 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 72.044 * [taylor]: Taking taylor expansion of 2 in n 72.044 * [backup-simplify]: Simplify 2 into 2 72.044 * [taylor]: Taking taylor expansion of (* n PI) in n 72.044 * [taylor]: Taking taylor expansion of n in n 72.044 * [backup-simplify]: Simplify 0 into 0 72.044 * [backup-simplify]: Simplify 1 into 1 72.044 * [taylor]: Taking taylor expansion of PI in n 72.044 * [backup-simplify]: Simplify PI into PI 72.044 * [backup-simplify]: Simplify (* 0 PI) into 0 72.044 * [backup-simplify]: Simplify (* 2 0) into 0 72.045 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 72.046 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 72.047 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 72.047 * [backup-simplify]: Simplify (+ (sqrt k) 1) into (+ (sqrt k) 1) 72.048 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 72.048 * [backup-simplify]: Simplify (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) into (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) 72.049 * [backup-simplify]: Simplify (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) into (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 72.050 * [backup-simplify]: Simplify (log (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))))) into (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) 72.050 * [backup-simplify]: Simplify (- (sqrt k)) into (- (sqrt k)) 72.050 * [backup-simplify]: Simplify (+ 1 (- (sqrt k))) into (- 1 (sqrt k)) 72.050 * [backup-simplify]: Simplify (* 1/2 (- 1 (sqrt k))) into (* 1/2 (- 1 (sqrt k))) 72.058 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (sqrt k))) (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) into (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI)))))) 72.059 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) into (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) 72.059 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) in k 72.059 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI)))))) in k 72.059 * [taylor]: Taking taylor expansion of 1/2 in k 72.059 * [backup-simplify]: Simplify 1/2 into 1/2 72.059 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))) in k 72.059 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in k 72.059 * [taylor]: Taking taylor expansion of (sqrt k) in k 72.059 * [taylor]: Taking taylor expansion of k in k 72.059 * [backup-simplify]: Simplify 0 into 0 72.059 * [backup-simplify]: Simplify 1 into 1 72.060 * [backup-simplify]: Simplify (sqrt 0) into 0 72.061 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 72.061 * [taylor]: Taking taylor expansion of 1 in k 72.061 * [backup-simplify]: Simplify 1 into 1 72.061 * [taylor]: Taking taylor expansion of (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI)))) in k 72.062 * [taylor]: Taking taylor expansion of (- 1 (sqrt k)) in k 72.062 * [taylor]: Taking taylor expansion of 1 in k 72.062 * [backup-simplify]: Simplify 1 into 1 72.062 * [taylor]: Taking taylor expansion of (sqrt k) in k 72.062 * [taylor]: Taking taylor expansion of k in k 72.062 * [backup-simplify]: Simplify 0 into 0 72.062 * [backup-simplify]: Simplify 1 into 1 72.062 * [backup-simplify]: Simplify (sqrt 0) into 0 72.063 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 72.063 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 72.063 * [taylor]: Taking taylor expansion of (log n) in k 72.063 * [taylor]: Taking taylor expansion of n in k 72.064 * [backup-simplify]: Simplify n into n 72.064 * [backup-simplify]: Simplify (log n) into (log n) 72.064 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 72.064 * [taylor]: Taking taylor expansion of (* 2 PI) in k 72.064 * [taylor]: Taking taylor expansion of 2 in k 72.064 * [backup-simplify]: Simplify 2 into 2 72.064 * [taylor]: Taking taylor expansion of PI in k 72.064 * [backup-simplify]: Simplify PI into PI 72.064 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 72.065 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 72.066 * [backup-simplify]: Simplify (+ 0 1) into 1 72.066 * [backup-simplify]: Simplify (- 0) into 0 72.066 * [backup-simplify]: Simplify (+ 1 0) into 1 72.068 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 72.069 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 72.070 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 72.071 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 72.072 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 72.073 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 72.074 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 72.075 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 72.077 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 72.077 * [backup-simplify]: Simplify (+ 0 0) into 0 72.078 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 72.080 * [backup-simplify]: Simplify (+ (* (+ (sqrt k) 1) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 72.081 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 72.083 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 1)))) 1) into 0 72.084 * [backup-simplify]: Simplify (- 0) into 0 72.084 * [backup-simplify]: Simplify (+ 0 0) into 0 72.085 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (sqrt k)))) into 0 72.086 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (sqrt k))) 0) (* 0 (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))))) into 0 72.088 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) (+ (* (/ (pow 0 1) 1)))) into 0 72.088 * [taylor]: Taking taylor expansion of 0 in k 72.088 * [backup-simplify]: Simplify 0 into 0 72.088 * [backup-simplify]: Simplify 0 into 0 72.089 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 72.090 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 72.091 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 72.092 * [backup-simplify]: Simplify (+ 0 0) into 0 72.092 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 72.093 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 72.095 * [backup-simplify]: Simplify (+ (* 1 0) (* (- +nan.0) (+ (log n) (log (* 2 PI))))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 72.096 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 72.099 * [backup-simplify]: Simplify (+ (* 1 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (* (- +nan.0) (+ (log n) (log (* 2 PI))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 72.103 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 72.106 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 72.110 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) 72.112 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 72.113 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 72.116 * [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 72.117 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 72.117 * [backup-simplify]: Simplify (+ 0 0) into 0 72.118 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 72.120 * [backup-simplify]: Simplify (+ (* (+ (sqrt k) 1) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 72.122 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 72.126 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 1)))) 2) into 0 72.127 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 72.127 * [backup-simplify]: Simplify (- 0) into 0 72.127 * [backup-simplify]: Simplify (+ 0 0) into 0 72.128 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (sqrt k))))) into 0 72.130 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (sqrt k))) 0) (+ (* 0 0) (* 0 (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))))) into 0 72.132 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 72.132 * [taylor]: Taking taylor expansion of 0 in k 72.132 * [backup-simplify]: Simplify 0 into 0 72.132 * [backup-simplify]: Simplify 0 into 0 72.132 * [backup-simplify]: Simplify 0 into 0 72.134 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 72.135 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 72.138 * [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 72.139 * [backup-simplify]: Simplify (+ 0 0) into 0 72.142 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 72.142 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 72.143 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 72.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (+ (log n) (log (* 2 PI)))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 72.149 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 72.150 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 72.156 * [backup-simplify]: Simplify (+ (* 1 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (* (- +nan.0) (+ (log n) (log (* 2 PI)))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 72.162 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* 0 (+ (log n) (log (* 2 PI)))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 72.167 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 72.172 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log (* 2 PI))))))))))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) 72.181 * [backup-simplify]: Simplify (+ (* (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log (* 2 PI))))))))))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (pow (* k 1) 2)) (+ (* (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (* k 1)) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))))))))))))) 72.181 * [backup-simplify]: Simplify (pow (pow (* (/ 1 n) (* 2 PI)) (/ (+ 1 (sqrt (/ 1 k))) 1)) (/ (- 1 (sqrt (/ 1 k))) 2)) into (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k))))) 72.181 * [approximate]: Taking taylor expansion of (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k))))) in (n k) around 0 72.181 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k))))) in k 72.181 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))))) in k 72.181 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)))) in k 72.181 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ 1 k)))) in k 72.181 * [taylor]: Taking taylor expansion of 1/2 in k 72.181 * [backup-simplify]: Simplify 1/2 into 1/2 72.181 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ 1 k))) in k 72.181 * [taylor]: Taking taylor expansion of 1 in k 72.181 * [backup-simplify]: Simplify 1 into 1 72.181 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 72.181 * [taylor]: Taking taylor expansion of (/ 1 k) in k 72.181 * [taylor]: Taking taylor expansion of k in k 72.181 * [backup-simplify]: Simplify 0 into 0 72.181 * [backup-simplify]: Simplify 1 into 1 72.186 * [backup-simplify]: Simplify (/ 1 1) into 1 72.186 * [backup-simplify]: Simplify (sqrt 0) into 0 72.187 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 72.187 * [taylor]: Taking taylor expansion of (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))) in k 72.187 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) in k 72.187 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n))))) in k 72.187 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n)))) in k 72.187 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in k 72.187 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 72.187 * [taylor]: Taking taylor expansion of (/ 1 k) in k 72.188 * [taylor]: Taking taylor expansion of k in k 72.188 * [backup-simplify]: Simplify 0 into 0 72.188 * [backup-simplify]: Simplify 1 into 1 72.188 * [backup-simplify]: Simplify (/ 1 1) into 1 72.188 * [backup-simplify]: Simplify (sqrt 0) into 0 72.189 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 72.189 * [taylor]: Taking taylor expansion of 1 in k 72.189 * [backup-simplify]: Simplify 1 into 1 72.189 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 72.189 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 72.189 * [taylor]: Taking taylor expansion of 2 in k 72.189 * [backup-simplify]: Simplify 2 into 2 72.189 * [taylor]: Taking taylor expansion of (/ PI n) in k 72.189 * [taylor]: Taking taylor expansion of PI in k 72.189 * [backup-simplify]: Simplify PI into PI 72.189 * [taylor]: Taking taylor expansion of n in k 72.189 * [backup-simplify]: Simplify n into n 72.189 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 72.189 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 72.189 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 72.189 * [backup-simplify]: Simplify (+ 0 0) into 0 72.190 * [backup-simplify]: Simplify (* 0 (log (* 2 (/ PI n)))) into 0 72.190 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 72.190 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ PI n))) into 0 72.190 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (/ PI n)) 1)))) 1) into 0 72.191 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 72.191 * [backup-simplify]: Simplify (+ (* 0 0) (* (- +nan.0) (log (* 2 (/ PI n))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 72.191 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 72.191 * [backup-simplify]: Simplify (log (exp (- (* +nan.0 (log (* 2 (/ PI n))))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 72.192 * [backup-simplify]: Simplify (- 0) into 0 72.192 * [backup-simplify]: Simplify (+ 0 0) into 0 72.192 * [backup-simplify]: Simplify (* 1/2 0) into 0 72.192 * [backup-simplify]: Simplify (* 0 (- (* +nan.0 (log (* 2 (/ PI n)))))) into 0 72.192 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 72.193 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ PI n)))) into 0 72.194 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (/ PI n)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (/ PI n)) 1)))) 2) into 0 72.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 72.196 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 72.196 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 72.197 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (log (* 2 (/ PI n)))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 72.197 * [backup-simplify]: Simplify (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (+ (* (/ (pow (- (* +nan.0 (log (* 2 (/ PI n))))) 1) 1)))) into (* +nan.0 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (log (* 2 (/ PI n))))) 72.198 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* +nan.0 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (log (* 2 (/ PI n)))))) 1)) (pow (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 1)))) 1) into (* +nan.0 (log (* 2 (/ PI n)))) 72.198 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 72.199 * [backup-simplify]: Simplify (+ 1 (- +nan.0)) into (- +nan.0) 72.201 * [backup-simplify]: Simplify (+ (* 1/2 (- +nan.0)) (* 0 0)) into (- +nan.0) 72.202 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (log (* 2 (/ PI n))))) (* (- +nan.0) (- (* +nan.0 (log (* 2 (/ PI n))))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 72.202 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 72.202 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k))))) in n 72.202 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))))) in n 72.202 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)))) in n 72.202 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ 1 k)))) in n 72.202 * [taylor]: Taking taylor expansion of 1/2 in n 72.202 * [backup-simplify]: Simplify 1/2 into 1/2 72.202 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ 1 k))) in n 72.202 * [taylor]: Taking taylor expansion of 1 in n 72.202 * [backup-simplify]: Simplify 1 into 1 72.202 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 72.202 * [taylor]: Taking taylor expansion of (/ 1 k) in n 72.202 * [taylor]: Taking taylor expansion of k in n 72.202 * [backup-simplify]: Simplify k into k 72.202 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 72.202 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 72.202 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 72.202 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 72.202 * [taylor]: Taking taylor expansion of (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))) in n 72.203 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) in n 72.203 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n))))) in n 72.203 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n)))) in n 72.203 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in n 72.203 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 72.203 * [taylor]: Taking taylor expansion of (/ 1 k) in n 72.203 * [taylor]: Taking taylor expansion of k in n 72.203 * [backup-simplify]: Simplify k into k 72.203 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 72.203 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 72.203 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 72.203 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 72.203 * [taylor]: Taking taylor expansion of 1 in n 72.203 * [backup-simplify]: Simplify 1 into 1 72.203 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 72.203 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 72.203 * [taylor]: Taking taylor expansion of 2 in n 72.203 * [backup-simplify]: Simplify 2 into 2 72.203 * [taylor]: Taking taylor expansion of (/ PI n) in n 72.203 * [taylor]: Taking taylor expansion of PI in n 72.203 * [backup-simplify]: Simplify PI into PI 72.203 * [taylor]: Taking taylor expansion of n in n 72.203 * [backup-simplify]: Simplify 0 into 0 72.203 * [backup-simplify]: Simplify 1 into 1 72.204 * [backup-simplify]: Simplify (/ PI 1) into PI 72.204 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 72.205 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 72.205 * [backup-simplify]: Simplify (+ (sqrt (/ 1 k)) 1) into (+ (sqrt (/ 1 k)) 1) 72.207 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 72.208 * [backup-simplify]: Simplify (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) into (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) 72.209 * [backup-simplify]: Simplify (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) into (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 72.211 * [backup-simplify]: Simplify (log (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))))) into (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) 72.211 * [backup-simplify]: Simplify (- (sqrt (/ 1 k))) into (- (sqrt (/ 1 k))) 72.211 * [backup-simplify]: Simplify (+ 1 (- (sqrt (/ 1 k)))) into (- 1 (sqrt (/ 1 k))) 72.211 * [backup-simplify]: Simplify (* 1/2 (- 1 (sqrt (/ 1 k)))) into (* 1/2 (- 1 (sqrt (/ 1 k)))) 72.212 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n))))) 72.213 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) 72.213 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k))))) in n 72.213 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))))) in n 72.213 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)))) in n 72.213 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ 1 k)))) in n 72.214 * [taylor]: Taking taylor expansion of 1/2 in n 72.214 * [backup-simplify]: Simplify 1/2 into 1/2 72.214 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ 1 k))) in n 72.214 * [taylor]: Taking taylor expansion of 1 in n 72.214 * [backup-simplify]: Simplify 1 into 1 72.214 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 72.214 * [taylor]: Taking taylor expansion of (/ 1 k) in n 72.214 * [taylor]: Taking taylor expansion of k in n 72.214 * [backup-simplify]: Simplify k into k 72.214 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 72.214 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 72.214 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 72.214 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 72.214 * [taylor]: Taking taylor expansion of (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))) in n 72.214 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) in n 72.214 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n))))) in n 72.214 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n)))) in n 72.214 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in n 72.214 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 72.214 * [taylor]: Taking taylor expansion of (/ 1 k) in n 72.214 * [taylor]: Taking taylor expansion of k in n 72.214 * [backup-simplify]: Simplify k into k 72.214 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 72.214 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 72.215 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 72.215 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 72.215 * [taylor]: Taking taylor expansion of 1 in n 72.215 * [backup-simplify]: Simplify 1 into 1 72.215 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 72.215 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 72.215 * [taylor]: Taking taylor expansion of 2 in n 72.215 * [backup-simplify]: Simplify 2 into 2 72.215 * [taylor]: Taking taylor expansion of (/ PI n) in n 72.215 * [taylor]: Taking taylor expansion of PI in n 72.215 * [backup-simplify]: Simplify PI into PI 72.215 * [taylor]: Taking taylor expansion of n in n 72.215 * [backup-simplify]: Simplify 0 into 0 72.215 * [backup-simplify]: Simplify 1 into 1 72.215 * [backup-simplify]: Simplify (/ PI 1) into PI 72.216 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 72.217 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 72.217 * [backup-simplify]: Simplify (+ (sqrt (/ 1 k)) 1) into (+ (sqrt (/ 1 k)) 1) 72.218 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 72.219 * [backup-simplify]: Simplify (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) into (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) 72.220 * [backup-simplify]: Simplify (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) into (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 72.221 * [backup-simplify]: Simplify (log (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))))) into (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) 72.222 * [backup-simplify]: Simplify (- (sqrt (/ 1 k))) into (- (sqrt (/ 1 k))) 72.222 * [backup-simplify]: Simplify (+ 1 (- (sqrt (/ 1 k)))) into (- 1 (sqrt (/ 1 k))) 72.222 * [backup-simplify]: Simplify (* 1/2 (- 1 (sqrt (/ 1 k)))) into (* 1/2 (- 1 (sqrt (/ 1 k)))) 72.223 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n))))) 72.224 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) 72.224 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) in k 72.224 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n))))) in k 72.224 * [taylor]: Taking taylor expansion of 1/2 in k 72.224 * [backup-simplify]: Simplify 1/2 into 1/2 72.224 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 72.224 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in k 72.224 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 72.224 * [taylor]: Taking taylor expansion of (/ 1 k) in k 72.224 * [taylor]: Taking taylor expansion of k in k 72.224 * [backup-simplify]: Simplify 0 into 0 72.225 * [backup-simplify]: Simplify 1 into 1 72.225 * [backup-simplify]: Simplify (/ 1 1) into 1 72.225 * [backup-simplify]: Simplify (sqrt 0) into 0 72.227 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 72.227 * [taylor]: Taking taylor expansion of 1 in k 72.227 * [backup-simplify]: Simplify 1 into 1 72.227 * [taylor]: Taking taylor expansion of (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 72.227 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ 1 k))) in k 72.227 * [taylor]: Taking taylor expansion of 1 in k 72.227 * [backup-simplify]: Simplify 1 into 1 72.227 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 72.227 * [taylor]: Taking taylor expansion of (/ 1 k) in k 72.227 * [taylor]: Taking taylor expansion of k in k 72.227 * [backup-simplify]: Simplify 0 into 0 72.227 * [backup-simplify]: Simplify 1 into 1 72.228 * [backup-simplify]: Simplify (/ 1 1) into 1 72.228 * [backup-simplify]: Simplify (sqrt 0) into 0 72.229 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 72.229 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 72.229 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 72.229 * [taylor]: Taking taylor expansion of (* 2 PI) in k 72.229 * [taylor]: Taking taylor expansion of 2 in k 72.230 * [backup-simplify]: Simplify 2 into 2 72.230 * [taylor]: Taking taylor expansion of PI in k 72.230 * [backup-simplify]: Simplify PI into PI 72.230 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 72.231 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 72.231 * [taylor]: Taking taylor expansion of (log n) in k 72.231 * [taylor]: Taking taylor expansion of n in k 72.231 * [backup-simplify]: Simplify n into n 72.231 * [backup-simplify]: Simplify (log n) into (log n) 72.232 * [backup-simplify]: Simplify (+ 0 0) into 0 72.232 * [backup-simplify]: Simplify (- 0) into 0 72.232 * [backup-simplify]: Simplify (+ 0 0) into 0 72.232 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 72.233 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 72.234 * [backup-simplify]: Simplify (* 0 (- (log (* 2 PI)) (log n))) into 0 72.235 * [backup-simplify]: Simplify (* 0 0) into 0 72.235 * [backup-simplify]: Simplify (* 1/2 0) into 0 72.236 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 72.238 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 72.239 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 72.239 * [backup-simplify]: Simplify (- 0) into 0 72.239 * [backup-simplify]: Simplify (+ 0 0) into 0 72.240 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 72.241 * [backup-simplify]: Simplify (+ 1 (- +nan.0)) into (- +nan.0) 72.242 * [backup-simplify]: Simplify (+ (* 0 0) (* (- +nan.0) (- (log (* 2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 72.243 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 72.246 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* (- +nan.0) 0)) into 0 72.247 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 0)) into 0 72.248 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 72.251 * [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 72.253 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 72.253 * [backup-simplify]: Simplify (- 0) into 0 72.254 * [backup-simplify]: Simplify (+ 0 0) into 0 72.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 72.257 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 72.258 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 72.258 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 72.260 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (- (log (* 2 PI)) (log n))))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 72.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 72.262 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 72.262 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 72.266 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* (- +nan.0) 0))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 72.267 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 0) (* 0 0))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 72.269 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) 72.270 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) 72.271 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 72.271 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 72.272 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 72.272 * [backup-simplify]: Simplify (+ 0 0) into 0 72.273 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 72.274 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ 1 k)) 1) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 72.275 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 72.276 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 1)))) 1) into 0 72.276 * [backup-simplify]: Simplify (- 0) into 0 72.277 * [backup-simplify]: Simplify (+ 0 0) into 0 72.277 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (sqrt (/ 1 k))))) into 0 72.278 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (sqrt (/ 1 k)))) 0) (* 0 (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))))) into 0 72.279 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) (+ (* (/ (pow 0 1) 1)))) into 0 72.279 * [taylor]: Taking taylor expansion of 0 in k 72.279 * [backup-simplify]: Simplify 0 into 0 72.279 * [backup-simplify]: Simplify 0 into 0 72.280 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 72.283 * [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 72.284 * [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 72.284 * [backup-simplify]: Simplify (- 0) into 0 72.285 * [backup-simplify]: Simplify (+ 0 0) into 0 72.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 72.288 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 72.288 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 72.288 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 72.290 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (- (log (* 2 PI)) (log n)))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 72.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 72.302 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 72.303 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 72.312 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* (- +nan.0) 0)))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 72.317 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 0) (* 0 0)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 72.322 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) 72.328 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) into (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) 72.329 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 72.330 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 72.333 * [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 72.333 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 72.334 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 72.335 * [backup-simplify]: Simplify (+ 0 0) into 0 72.336 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 72.338 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ 1 k)) 1) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 72.340 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 72.345 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 1)))) 2) into 0 72.345 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 72.346 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 72.346 * [backup-simplify]: Simplify (- 0) into 0 72.347 * [backup-simplify]: Simplify (+ 0 0) into 0 72.348 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (sqrt (/ 1 k)))))) into 0 72.349 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (sqrt (/ 1 k)))) 0) (+ (* 0 0) (* 0 (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))))) into 0 72.352 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 72.352 * [taylor]: Taking taylor expansion of 0 in k 72.352 * [backup-simplify]: Simplify 0 into 0 72.352 * [backup-simplify]: Simplify 0 into 0 72.352 * [backup-simplify]: Simplify 0 into 0 72.353 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 72.365 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 2 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* 2 PI) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* 2 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* 2 PI) 1)))) 24) into 0 72.371 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow n 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow n 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow n 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow n 1)))) 24) into 0 72.371 * [backup-simplify]: Simplify (- 0) into 0 72.372 * [backup-simplify]: Simplify (+ 0 0) into 0 72.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 72.378 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 72.378 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 72.379 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 72.383 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (- (log (* 2 PI)) (log n))))))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 72.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 72.387 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 72.388 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 72.395 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* (- +nan.0) 0))))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 72.398 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 0) (* 0 0))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 72.403 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) 72.408 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) into (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log (* 2 PI))))))))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) 72.426 * [backup-simplify]: Simplify (+ (* (* (+ (* +nan.0 (pow (log (/ 1 n)) 2)) (- (+ (* +nan.0 (* (log (/ 1 n)) (log (* 2 PI)))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log (* 2 PI))))))))))) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI)))))))) (pow (* (/ 1 k) 1) 2)) (+ (* (* (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI)))))))) (* (/ 1 k) 1)) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))))) into (- (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (* (log (/ 1 n)) (log (* 2 PI)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (* 2 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (/ 1 n)) 2)) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n))) (pow k 2)))))))))))))))) 72.426 * [backup-simplify]: Simplify (pow (pow (* (/ 1 (- n)) (* 2 PI)) (/ (+ 1 (sqrt (/ 1 (- k)))) 1)) (/ (- 1 (sqrt (/ 1 (- k)))) 2)) into (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k))))) 72.426 * [approximate]: Taking taylor expansion of (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k))))) in (n k) around 0 72.426 * [taylor]: Taking taylor expansion of (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k))))) in k 72.426 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))))) in k 72.426 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)))) in k 72.426 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ -1 k)))) in k 72.426 * [taylor]: Taking taylor expansion of 1/2 in k 72.426 * [backup-simplify]: Simplify 1/2 into 1/2 72.426 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ -1 k))) in k 72.426 * [taylor]: Taking taylor expansion of 1 in k 72.426 * [backup-simplify]: Simplify 1 into 1 72.426 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 72.426 * [taylor]: Taking taylor expansion of (/ -1 k) in k 72.426 * [taylor]: Taking taylor expansion of -1 in k 72.426 * [backup-simplify]: Simplify -1 into -1 72.426 * [taylor]: Taking taylor expansion of k in k 72.426 * [backup-simplify]: Simplify 0 into 0 72.426 * [backup-simplify]: Simplify 1 into 1 72.427 * [backup-simplify]: Simplify (/ -1 1) into -1 72.427 * [backup-simplify]: Simplify (sqrt 0) into 0 72.428 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 72.428 * [taylor]: Taking taylor expansion of (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))) in k 72.428 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) in k 72.428 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n))))) in k 72.428 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n)))) in k 72.428 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in k 72.428 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 72.428 * [taylor]: Taking taylor expansion of (/ -1 k) in k 72.428 * [taylor]: Taking taylor expansion of -1 in k 72.428 * [backup-simplify]: Simplify -1 into -1 72.428 * [taylor]: Taking taylor expansion of k in k 72.428 * [backup-simplify]: Simplify 0 into 0 72.428 * [backup-simplify]: Simplify 1 into 1 72.428 * [backup-simplify]: Simplify (/ -1 1) into -1 72.429 * [backup-simplify]: Simplify (sqrt 0) into 0 72.429 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 72.429 * [taylor]: Taking taylor expansion of 1 in k 72.430 * [backup-simplify]: Simplify 1 into 1 72.430 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 72.430 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 72.430 * [taylor]: Taking taylor expansion of -2 in k 72.430 * [backup-simplify]: Simplify -2 into -2 72.430 * [taylor]: Taking taylor expansion of (/ PI n) in k 72.430 * [taylor]: Taking taylor expansion of PI in k 72.430 * [backup-simplify]: Simplify PI into PI 72.430 * [taylor]: Taking taylor expansion of n in k 72.430 * [backup-simplify]: Simplify n into n 72.430 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 72.430 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 72.430 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 72.430 * [backup-simplify]: Simplify (+ 0 0) into 0 72.430 * [backup-simplify]: Simplify (* 0 (log (* -2 (/ PI n)))) into 0 72.430 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 72.431 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (/ PI n))) into 0 72.431 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 (/ PI n)) 1)))) 1) into 0 72.431 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 72.432 * [backup-simplify]: Simplify (+ (* 0 0) (* (- +nan.0) (log (* -2 (/ PI n))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 72.432 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) 72.432 * [backup-simplify]: Simplify (log (exp (- (* +nan.0 (log (* -2 (/ PI n))))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 72.432 * [backup-simplify]: Simplify (- 0) into 0 72.432 * [backup-simplify]: Simplify (+ 0 0) into 0 72.433 * [backup-simplify]: Simplify (* 1/2 0) into 0 72.433 * [backup-simplify]: Simplify (* 0 (- (* +nan.0 (log (* -2 (/ PI n)))))) into 0 72.433 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 72.433 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (/ PI n)))) into 0 72.435 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 (/ PI n)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 (/ PI n)) 1)))) 2) into 0 72.435 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 72.437 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 72.437 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 72.438 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (log (* -2 (/ PI n)))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 72.438 * [backup-simplify]: Simplify (* (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) (+ (* (/ (pow (- (* +nan.0 (log (* -2 (/ PI n))))) 1) 1)))) into (* +nan.0 (* (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) 72.438 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* +nan.0 (* (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n))))))))) 1)) (pow (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) 1)))) 1) into (* +nan.0 (log (* -2 (/ PI n)))) 72.439 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 72.439 * [backup-simplify]: Simplify (+ 1 (- +nan.0)) into (- +nan.0) 72.440 * [backup-simplify]: Simplify (+ (* 1/2 (- +nan.0)) (* 0 0)) into (- +nan.0) 72.441 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (log (* -2 (/ PI n))))) (* (- +nan.0) (- (* +nan.0 (log (* -2 (/ PI n))))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 72.441 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) 72.441 * [taylor]: Taking taylor expansion of (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k))))) in n 72.441 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))))) in n 72.441 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)))) in n 72.441 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ -1 k)))) in n 72.441 * [taylor]: Taking taylor expansion of 1/2 in n 72.441 * [backup-simplify]: Simplify 1/2 into 1/2 72.441 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ -1 k))) in n 72.441 * [taylor]: Taking taylor expansion of 1 in n 72.441 * [backup-simplify]: Simplify 1 into 1 72.441 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 72.441 * [taylor]: Taking taylor expansion of (/ -1 k) in n 72.441 * [taylor]: Taking taylor expansion of -1 in n 72.441 * [backup-simplify]: Simplify -1 into -1 72.441 * [taylor]: Taking taylor expansion of k in n 72.441 * [backup-simplify]: Simplify k into k 72.441 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 72.441 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 72.441 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 72.441 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 72.441 * [taylor]: Taking taylor expansion of (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))) in n 72.441 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) in n 72.441 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n))))) in n 72.441 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n)))) in n 72.441 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in n 72.441 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 72.441 * [taylor]: Taking taylor expansion of (/ -1 k) in n 72.441 * [taylor]: Taking taylor expansion of -1 in n 72.441 * [backup-simplify]: Simplify -1 into -1 72.441 * [taylor]: Taking taylor expansion of k in n 72.442 * [backup-simplify]: Simplify k into k 72.442 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 72.442 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 72.442 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 72.442 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 72.442 * [taylor]: Taking taylor expansion of 1 in n 72.442 * [backup-simplify]: Simplify 1 into 1 72.442 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 72.442 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 72.442 * [taylor]: Taking taylor expansion of -2 in n 72.442 * [backup-simplify]: Simplify -2 into -2 72.442 * [taylor]: Taking taylor expansion of (/ PI n) in n 72.442 * [taylor]: Taking taylor expansion of PI in n 72.442 * [backup-simplify]: Simplify PI into PI 72.442 * [taylor]: Taking taylor expansion of n in n 72.442 * [backup-simplify]: Simplify 0 into 0 72.442 * [backup-simplify]: Simplify 1 into 1 72.443 * [backup-simplify]: Simplify (/ PI 1) into PI 72.443 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 72.444 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 72.444 * [backup-simplify]: Simplify (+ (sqrt (/ -1 k)) 1) into (+ (sqrt (/ -1 k)) 1) 72.446 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 72.447 * [backup-simplify]: Simplify (* (+ (sqrt (/ -1 k)) 1) (- (log (* -2 PI)) (log n))) into (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) 72.448 * [backup-simplify]: Simplify (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) into (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) 72.449 * [backup-simplify]: Simplify (log (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)))) into (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) 72.449 * [backup-simplify]: Simplify (- (sqrt (/ -1 k))) into (- (sqrt (/ -1 k))) 72.449 * [backup-simplify]: Simplify (+ 1 (- (sqrt (/ -1 k)))) into (- 1 (sqrt (/ -1 k))) 72.449 * [backup-simplify]: Simplify (* 1/2 (- 1 (sqrt (/ -1 k)))) into (* 1/2 (- 1 (sqrt (/ -1 k)))) 72.451 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) into (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)))) 72.452 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) into (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) 72.452 * [taylor]: Taking taylor expansion of (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k))))) in n 72.452 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))))) in n 72.452 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)))) in n 72.452 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ -1 k)))) in n 72.452 * [taylor]: Taking taylor expansion of 1/2 in n 72.452 * [backup-simplify]: Simplify 1/2 into 1/2 72.452 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ -1 k))) in n 72.452 * [taylor]: Taking taylor expansion of 1 in n 72.452 * [backup-simplify]: Simplify 1 into 1 72.452 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 72.452 * [taylor]: Taking taylor expansion of (/ -1 k) in n 72.452 * [taylor]: Taking taylor expansion of -1 in n 72.452 * [backup-simplify]: Simplify -1 into -1 72.452 * [taylor]: Taking taylor expansion of k in n 72.452 * [backup-simplify]: Simplify k into k 72.452 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 72.453 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 72.453 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 72.453 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 72.453 * [taylor]: Taking taylor expansion of (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))) in n 72.453 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) in n 72.453 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n))))) in n 72.453 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n)))) in n 72.453 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in n 72.453 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 72.453 * [taylor]: Taking taylor expansion of (/ -1 k) in n 72.453 * [taylor]: Taking taylor expansion of -1 in n 72.453 * [backup-simplify]: Simplify -1 into -1 72.453 * [taylor]: Taking taylor expansion of k in n 72.453 * [backup-simplify]: Simplify k into k 72.453 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 72.453 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 72.453 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 72.453 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 72.453 * [taylor]: Taking taylor expansion of 1 in n 72.454 * [backup-simplify]: Simplify 1 into 1 72.454 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 72.454 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 72.454 * [taylor]: Taking taylor expansion of -2 in n 72.454 * [backup-simplify]: Simplify -2 into -2 72.454 * [taylor]: Taking taylor expansion of (/ PI n) in n 72.454 * [taylor]: Taking taylor expansion of PI in n 72.454 * [backup-simplify]: Simplify PI into PI 72.454 * [taylor]: Taking taylor expansion of n in n 72.454 * [backup-simplify]: Simplify 0 into 0 72.454 * [backup-simplify]: Simplify 1 into 1 72.454 * [backup-simplify]: Simplify (/ PI 1) into PI 72.455 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 72.456 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 72.456 * [backup-simplify]: Simplify (+ (sqrt (/ -1 k)) 1) into (+ (sqrt (/ -1 k)) 1) 72.457 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 72.458 * [backup-simplify]: Simplify (* (+ (sqrt (/ -1 k)) 1) (- (log (* -2 PI)) (log n))) into (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) 72.459 * [backup-simplify]: Simplify (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) into (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) 72.461 * [backup-simplify]: Simplify (log (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)))) into (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) 72.461 * [backup-simplify]: Simplify (- (sqrt (/ -1 k))) into (- (sqrt (/ -1 k))) 72.461 * [backup-simplify]: Simplify (+ 1 (- (sqrt (/ -1 k)))) into (- 1 (sqrt (/ -1 k))) 72.461 * [backup-simplify]: Simplify (* 1/2 (- 1 (sqrt (/ -1 k)))) into (* 1/2 (- 1 (sqrt (/ -1 k)))) 72.462 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) into (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)))) 72.463 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) into (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) 72.464 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) in k 72.464 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)))) in k 72.464 * [taylor]: Taking taylor expansion of 1/2 in k 72.464 * [backup-simplify]: Simplify 1/2 into 1/2 72.464 * [taylor]: Taking taylor expansion of (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) in k 72.464 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ -1 k))) in k 72.464 * [taylor]: Taking taylor expansion of 1 in k 72.464 * [backup-simplify]: Simplify 1 into 1 72.464 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 72.464 * [taylor]: Taking taylor expansion of (/ -1 k) in k 72.464 * [taylor]: Taking taylor expansion of -1 in k 72.464 * [backup-simplify]: Simplify -1 into -1 72.464 * [taylor]: Taking taylor expansion of k in k 72.464 * [backup-simplify]: Simplify 0 into 0 72.464 * [backup-simplify]: Simplify 1 into 1 72.464 * [backup-simplify]: Simplify (/ -1 1) into -1 72.465 * [backup-simplify]: Simplify (sqrt 0) into 0 72.466 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 72.466 * [taylor]: Taking taylor expansion of (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) in k 72.466 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 72.466 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 72.466 * [taylor]: Taking taylor expansion of (* -2 PI) in k 72.466 * [taylor]: Taking taylor expansion of -2 in k 72.466 * [backup-simplify]: Simplify -2 into -2 72.466 * [taylor]: Taking taylor expansion of PI in k 72.466 * [backup-simplify]: Simplify PI into PI 72.467 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 72.468 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 72.468 * [taylor]: Taking taylor expansion of (log n) in k 72.468 * [taylor]: Taking taylor expansion of n in k 72.468 * [backup-simplify]: Simplify n into n 72.468 * [backup-simplify]: Simplify (log n) into (log n) 72.468 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in k 72.468 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 72.468 * [taylor]: Taking taylor expansion of (/ -1 k) in k 72.468 * [taylor]: Taking taylor expansion of -1 in k 72.468 * [backup-simplify]: Simplify -1 into -1 72.468 * [taylor]: Taking taylor expansion of k in k 72.468 * [backup-simplify]: Simplify 0 into 0 72.468 * [backup-simplify]: Simplify 1 into 1 72.469 * [backup-simplify]: Simplify (/ -1 1) into -1 72.469 * [backup-simplify]: Simplify (sqrt 0) into 0 72.470 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 72.470 * [taylor]: Taking taylor expansion of 1 in k 72.470 * [backup-simplify]: Simplify 1 into 1 72.470 * [backup-simplify]: Simplify (- 0) into 0 72.471 * [backup-simplify]: Simplify (+ 0 0) into 0 72.471 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 72.471 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 72.472 * [backup-simplify]: Simplify (+ 0 0) into 0 72.472 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) 0) into 0 72.472 * [backup-simplify]: Simplify (* 0 0) into 0 72.473 * [backup-simplify]: Simplify (* 1/2 0) into 0 72.473 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 72.473 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 72.474 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 72.475 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 72.475 * [backup-simplify]: Simplify (- 0) into 0 72.475 * [backup-simplify]: Simplify (+ 0 0) into 0 72.476 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) (- +nan.0)) (* 0 0)) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 72.477 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 72.477 * [backup-simplify]: Simplify (+ 1 (- +nan.0)) into (- +nan.0) 72.479 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (* (- +nan.0) 0)) into 0 72.479 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 0)) into 0 72.480 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 72.482 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 72.482 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 72.483 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 72.485 * [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 72.486 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 72.486 * [backup-simplify]: Simplify (- 0) into 0 72.486 * [backup-simplify]: Simplify (+ 0 0) into 0 72.487 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 72.488 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 72.490 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 72.490 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 72.490 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 72.494 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (* (- +nan.0) 0))) into (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n))))) 72.495 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 0) (* 0 0))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 72.497 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) 72.499 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) 72.500 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 72.501 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 72.502 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 72.503 * [backup-simplify]: Simplify (+ 0 0) into 0 72.504 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 72.506 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ -1 k)) 1) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 72.507 * [backup-simplify]: Simplify (* (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) (+ (* (/ (pow 0 1) 1)))) into 0 72.509 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) 1)))) 1) into 0 72.510 * [backup-simplify]: Simplify (- 0) into 0 72.510 * [backup-simplify]: Simplify (+ 0 0) into 0 72.511 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (sqrt (/ -1 k))))) into 0 72.512 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (sqrt (/ -1 k)))) 0) (* 0 (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)))) into 0 72.514 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) (+ (* (/ (pow 0 1) 1)))) into 0 72.514 * [taylor]: Taking taylor expansion of 0 in k 72.514 * [backup-simplify]: Simplify 0 into 0 72.514 * [backup-simplify]: Simplify 0 into 0 72.515 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 72.519 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 72.520 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 72.521 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 72.527 * [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 72.530 * [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 72.537 * [backup-simplify]: Simplify (- 0) into 0 72.538 * [backup-simplify]: Simplify (+ 0 0) into 0 72.540 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 72.541 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 72.545 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 72.546 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 72.547 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 72.557 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (* (- +nan.0) 0)))) into (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n))))) 72.561 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 0) (* 0 0)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 72.566 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 1) 1)))) into (* -1 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) 72.569 * [backup-simplify]: Simplify (* -1 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) into (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 72.570 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 72.570 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 72.572 * [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 72.573 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 72.573 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 72.573 * [backup-simplify]: Simplify (+ 0 0) into 0 72.574 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 72.575 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ -1 k)) 1) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 72.576 * [backup-simplify]: Simplify (* (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 72.579 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) 1)))) 2) into 0 72.579 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 72.579 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 72.579 * [backup-simplify]: Simplify (- 0) into 0 72.580 * [backup-simplify]: Simplify (+ 0 0) into 0 72.580 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (sqrt (/ -1 k)))))) into 0 72.581 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (sqrt (/ -1 k)))) 0) (+ (* 0 0) (* 0 (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) into 0 72.582 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 72.582 * [taylor]: Taking taylor expansion of 0 in k 72.582 * [backup-simplify]: Simplify 0 into 0 72.583 * [backup-simplify]: Simplify 0 into 0 72.583 * [backup-simplify]: Simplify 0 into 0 72.583 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 72.586 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 72.586 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 72.587 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 72.594 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* -2 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* -2 PI) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* -2 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* -2 PI) 1)))) 24) into 0 72.596 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow n 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow n 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow n 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow n 1)))) 24) into 0 72.597 * [backup-simplify]: Simplify (- 0) into 0 72.597 * [backup-simplify]: Simplify (+ 0 0) into 0 72.599 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 72.600 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 72.605 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 72.605 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 72.606 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 72.618 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (* (- +nan.0) 0))))) into (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n))))) 72.624 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 0) (* 0 0))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 72.633 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 1) 1)))) into (* -1 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (pow (log (* -2 PI)) 2)) (- (+ (* +nan.0 (* (log n) (log (* -2 PI)))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))))))) 72.642 * [backup-simplify]: Simplify (* -1 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (pow (log (* -2 PI)) 2)) (- (+ (* +nan.0 (* (log n) (log (* -2 PI)))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))))))) into (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* -2 PI)))) (- (+ (* +nan.0 (pow (log (* -2 PI)) 2)) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))))))) 72.663 * [backup-simplify]: Simplify (+ (* (* (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (pow (log (/ 1 (- n))) 2)) (- (+ (* +nan.0 (* (log (/ 1 (- n))) (log (* -2 PI)))) (- (+ (* +nan.0 (pow (log (* -2 PI)) 2)) (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI)))))))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (* (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI)))))) (* (/ 1 (- k)) 1)) (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))))) into (- (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (/ (* (pow (log (/ -1 n)) 2) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (pow (log (* -2 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI))) (pow k 2)))))))))))))))) 72.663 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1) 72.663 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI)) 72.663 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 72.663 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 72.663 * [taylor]: Taking taylor expansion of 2 in n 72.663 * [backup-simplify]: Simplify 2 into 2 72.663 * [taylor]: Taking taylor expansion of (* n PI) in n 72.664 * [taylor]: Taking taylor expansion of n in n 72.664 * [backup-simplify]: Simplify 0 into 0 72.664 * [backup-simplify]: Simplify 1 into 1 72.664 * [taylor]: Taking taylor expansion of PI in n 72.664 * [backup-simplify]: Simplify PI into PI 72.664 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 72.664 * [taylor]: Taking taylor expansion of 2 in n 72.664 * [backup-simplify]: Simplify 2 into 2 72.664 * [taylor]: Taking taylor expansion of (* n PI) in n 72.664 * [taylor]: Taking taylor expansion of n in n 72.664 * [backup-simplify]: Simplify 0 into 0 72.664 * [backup-simplify]: Simplify 1 into 1 72.664 * [taylor]: Taking taylor expansion of PI in n 72.664 * [backup-simplify]: Simplify PI into PI 72.664 * [backup-simplify]: Simplify (* 0 PI) into 0 72.664 * [backup-simplify]: Simplify (* 2 0) into 0 72.664 * [backup-simplify]: Simplify 0 into 0 72.665 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 72.666 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 72.666 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 72.667 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 72.668 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 72.668 * [backup-simplify]: Simplify 0 into 0 72.668 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 72.669 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 72.669 * [backup-simplify]: Simplify 0 into 0 72.670 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 72.670 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 72.670 * [backup-simplify]: Simplify 0 into 0 72.671 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 72.672 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 72.672 * [backup-simplify]: Simplify 0 into 0 72.673 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 72.674 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 72.674 * [backup-simplify]: Simplify 0 into 0 72.675 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 72.676 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 72.676 * [backup-simplify]: Simplify 0 into 0 72.676 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 72.676 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n)) 72.677 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 72.677 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 72.677 * [taylor]: Taking taylor expansion of 2 in n 72.677 * [backup-simplify]: Simplify 2 into 2 72.677 * [taylor]: Taking taylor expansion of (/ PI n) in n 72.677 * [taylor]: Taking taylor expansion of PI in n 72.677 * [backup-simplify]: Simplify PI into PI 72.677 * [taylor]: Taking taylor expansion of n in n 72.677 * [backup-simplify]: Simplify 0 into 0 72.677 * [backup-simplify]: Simplify 1 into 1 72.677 * [backup-simplify]: Simplify (/ PI 1) into PI 72.677 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 72.677 * [taylor]: Taking taylor expansion of 2 in n 72.677 * [backup-simplify]: Simplify 2 into 2 72.677 * [taylor]: Taking taylor expansion of (/ PI n) in n 72.677 * [taylor]: Taking taylor expansion of PI in n 72.677 * [backup-simplify]: Simplify PI into PI 72.677 * [taylor]: Taking taylor expansion of n in n 72.677 * [backup-simplify]: Simplify 0 into 0 72.677 * [backup-simplify]: Simplify 1 into 1 72.677 * [backup-simplify]: Simplify (/ PI 1) into PI 72.678 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 72.678 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 72.678 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 72.679 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 72.679 * [backup-simplify]: Simplify 0 into 0 72.680 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 72.680 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 72.680 * [backup-simplify]: Simplify 0 into 0 72.681 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 72.681 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 72.681 * [backup-simplify]: Simplify 0 into 0 72.682 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 72.683 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 72.683 * [backup-simplify]: Simplify 0 into 0 72.683 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 72.684 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 72.684 * [backup-simplify]: Simplify 0 into 0 72.685 * [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 72.686 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 72.686 * [backup-simplify]: Simplify 0 into 0 72.686 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 72.686 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n)) 72.686 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 72.686 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 72.686 * [taylor]: Taking taylor expansion of -2 in n 72.686 * [backup-simplify]: Simplify -2 into -2 72.686 * [taylor]: Taking taylor expansion of (/ PI n) in n 72.686 * [taylor]: Taking taylor expansion of PI in n 72.687 * [backup-simplify]: Simplify PI into PI 72.687 * [taylor]: Taking taylor expansion of n in n 72.687 * [backup-simplify]: Simplify 0 into 0 72.687 * [backup-simplify]: Simplify 1 into 1 72.687 * [backup-simplify]: Simplify (/ PI 1) into PI 72.687 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 72.687 * [taylor]: Taking taylor expansion of -2 in n 72.687 * [backup-simplify]: Simplify -2 into -2 72.687 * [taylor]: Taking taylor expansion of (/ PI n) in n 72.687 * [taylor]: Taking taylor expansion of PI in n 72.687 * [backup-simplify]: Simplify PI into PI 72.687 * [taylor]: Taking taylor expansion of n in n 72.687 * [backup-simplify]: Simplify 0 into 0 72.687 * [backup-simplify]: Simplify 1 into 1 72.687 * [backup-simplify]: Simplify (/ PI 1) into PI 72.688 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 72.688 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 72.688 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 72.689 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 72.689 * [backup-simplify]: Simplify 0 into 0 72.689 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 72.690 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 72.690 * [backup-simplify]: Simplify 0 into 0 72.691 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 72.693 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 72.693 * [backup-simplify]: Simplify 0 into 0 72.694 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 72.695 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 72.695 * [backup-simplify]: Simplify 0 into 0 72.696 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 72.698 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 72.698 * [backup-simplify]: Simplify 0 into 0 72.699 * [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 72.700 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 72.701 * [backup-simplify]: Simplify 0 into 0 72.701 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 72.701 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 72.702 * [backup-simplify]: Simplify (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) into (* (/ 1 (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k))))) (sqrt k)) 72.702 * [approximate]: Taking taylor expansion of (* (/ 1 (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k))))) (sqrt k)) in (k n) around 0 72.702 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k))))) (sqrt k)) in n 72.702 * [taylor]: Taking taylor expansion of (/ 1 (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k))))) in n 72.702 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k)))) in n 72.702 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))))) in n 72.702 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1)))) in n 72.703 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt k))) in n 72.703 * [taylor]: Taking taylor expansion of 1/2 in n 72.703 * [backup-simplify]: Simplify 1/2 into 1/2 72.703 * [taylor]: Taking taylor expansion of (- 1 (sqrt k)) in n 72.703 * [taylor]: Taking taylor expansion of 1 in n 72.703 * [backup-simplify]: Simplify 1 into 1 72.703 * [taylor]: Taking taylor expansion of (sqrt k) in n 72.703 * [taylor]: Taking taylor expansion of k in n 72.703 * [backup-simplify]: Simplify k into k 72.703 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 72.703 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 72.703 * [taylor]: Taking taylor expansion of (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))) in n 72.703 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (+ (sqrt k) 1)) in n 72.703 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) 1) (log (* 2 (* n PI))))) in n 72.703 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (log (* 2 (* n PI)))) in n 72.703 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in n 72.703 * [taylor]: Taking taylor expansion of (sqrt k) in n 72.703 * [taylor]: Taking taylor expansion of k in n 72.703 * [backup-simplify]: Simplify k into k 72.703 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 72.703 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 72.703 * [taylor]: Taking taylor expansion of 1 in n 72.703 * [backup-simplify]: Simplify 1 into 1 72.703 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 72.703 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 72.703 * [taylor]: Taking taylor expansion of 2 in n 72.703 * [backup-simplify]: Simplify 2 into 2 72.703 * [taylor]: Taking taylor expansion of (* n PI) in n 72.703 * [taylor]: Taking taylor expansion of n in n 72.703 * [backup-simplify]: Simplify 0 into 0 72.703 * [backup-simplify]: Simplify 1 into 1 72.704 * [taylor]: Taking taylor expansion of PI in n 72.704 * [backup-simplify]: Simplify PI into PI 72.704 * [backup-simplify]: Simplify (* 0 PI) into 0 72.704 * [backup-simplify]: Simplify (* 2 0) into 0 72.706 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 72.708 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 72.709 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 72.709 * [backup-simplify]: Simplify (+ (sqrt k) 1) into (+ (sqrt k) 1) 72.710 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 72.711 * [backup-simplify]: Simplify (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) into (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) 72.712 * [backup-simplify]: Simplify (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) into (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 72.713 * [backup-simplify]: Simplify (log (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))))) into (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) 72.713 * [backup-simplify]: Simplify (- (sqrt k)) into (- (sqrt k)) 72.713 * [backup-simplify]: Simplify (+ 1 (- (sqrt k))) into (- 1 (sqrt k)) 72.714 * [backup-simplify]: Simplify (* 1/2 (- 1 (sqrt k))) into (* 1/2 (- 1 (sqrt k))) 72.715 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (sqrt k))) (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) into (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI)))))) 72.716 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) into (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) 72.717 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI)))))))) into (/ 1 (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI)))))))) 72.717 * [taylor]: Taking taylor expansion of (sqrt k) in n 72.717 * [taylor]: Taking taylor expansion of k in n 72.717 * [backup-simplify]: Simplify k into k 72.717 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 72.717 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 72.717 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k))))) (sqrt k)) in k 72.717 * [taylor]: Taking taylor expansion of (/ 1 (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k))))) in k 72.717 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k)))) in k 72.717 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))))) in k 72.717 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1)))) in k 72.717 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt k))) in k 72.718 * [taylor]: Taking taylor expansion of 1/2 in k 72.718 * [backup-simplify]: Simplify 1/2 into 1/2 72.718 * [taylor]: Taking taylor expansion of (- 1 (sqrt k)) in k 72.718 * [taylor]: Taking taylor expansion of 1 in k 72.718 * [backup-simplify]: Simplify 1 into 1 72.718 * [taylor]: Taking taylor expansion of (sqrt k) in k 72.718 * [taylor]: Taking taylor expansion of k in k 72.718 * [backup-simplify]: Simplify 0 into 0 72.718 * [backup-simplify]: Simplify 1 into 1 72.718 * [backup-simplify]: Simplify (sqrt 0) into 0 72.720 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 72.720 * [taylor]: Taking taylor expansion of (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))) in k 72.720 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (+ (sqrt k) 1)) in k 72.720 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) 1) (log (* 2 (* n PI))))) in k 72.720 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (log (* 2 (* n PI)))) in k 72.720 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in k 72.720 * [taylor]: Taking taylor expansion of (sqrt k) in k 72.720 * [taylor]: Taking taylor expansion of k in k 72.720 * [backup-simplify]: Simplify 0 into 0 72.720 * [backup-simplify]: Simplify 1 into 1 72.720 * [backup-simplify]: Simplify (sqrt 0) into 0 72.721 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 72.721 * [taylor]: Taking taylor expansion of 1 in k 72.722 * [backup-simplify]: Simplify 1 into 1 72.722 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 72.722 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 72.722 * [taylor]: Taking taylor expansion of 2 in k 72.722 * [backup-simplify]: Simplify 2 into 2 72.722 * [taylor]: Taking taylor expansion of (* n PI) in k 72.722 * [taylor]: Taking taylor expansion of n in k 72.722 * [backup-simplify]: Simplify n into n 72.722 * [taylor]: Taking taylor expansion of PI in k 72.722 * [backup-simplify]: Simplify PI into PI 72.722 * [backup-simplify]: Simplify (* n PI) into (* n PI) 72.722 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 72.722 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 72.722 * [backup-simplify]: Simplify (+ 0 1) into 1 72.723 * [backup-simplify]: Simplify (* 1 (log (* 2 (* n PI)))) into (log (* 2 (* n PI))) 72.723 * [backup-simplify]: Simplify (exp (log (* 2 (* n PI)))) into (* 2 (* n PI)) 72.723 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 72.723 * [backup-simplify]: Simplify (- 0) into 0 72.724 * [backup-simplify]: Simplify (+ 1 0) into 1 72.724 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 72.724 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 72.724 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 72.724 * [backup-simplify]: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2)))) 72.724 * [taylor]: Taking taylor expansion of (sqrt k) in k 72.724 * [taylor]: Taking taylor expansion of k in k 72.724 * [backup-simplify]: Simplify 0 into 0 72.724 * [backup-simplify]: Simplify 1 into 1 72.725 * [backup-simplify]: Simplify (sqrt 0) into 0 72.726 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 72.726 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k))))) (sqrt k)) in k 72.726 * [taylor]: Taking taylor expansion of (/ 1 (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k))))) in k 72.726 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k)))) in k 72.726 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))))) in k 72.726 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1)))) in k 72.726 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt k))) in k 72.726 * [taylor]: Taking taylor expansion of 1/2 in k 72.726 * [backup-simplify]: Simplify 1/2 into 1/2 72.726 * [taylor]: Taking taylor expansion of (- 1 (sqrt k)) in k 72.726 * [taylor]: Taking taylor expansion of 1 in k 72.726 * [backup-simplify]: Simplify 1 into 1 72.726 * [taylor]: Taking taylor expansion of (sqrt k) in k 72.727 * [taylor]: Taking taylor expansion of k in k 72.727 * [backup-simplify]: Simplify 0 into 0 72.727 * [backup-simplify]: Simplify 1 into 1 72.727 * [backup-simplify]: Simplify (sqrt 0) into 0 72.728 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 72.728 * [taylor]: Taking taylor expansion of (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))) in k 72.728 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (+ (sqrt k) 1)) in k 72.728 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) 1) (log (* 2 (* n PI))))) in k 72.729 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (log (* 2 (* n PI)))) in k 72.729 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in k 72.729 * [taylor]: Taking taylor expansion of (sqrt k) in k 72.729 * [taylor]: Taking taylor expansion of k in k 72.729 * [backup-simplify]: Simplify 0 into 0 72.729 * [backup-simplify]: Simplify 1 into 1 72.729 * [backup-simplify]: Simplify (sqrt 0) into 0 72.730 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 72.730 * [taylor]: Taking taylor expansion of 1 in k 72.730 * [backup-simplify]: Simplify 1 into 1 72.730 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 72.730 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 72.731 * [taylor]: Taking taylor expansion of 2 in k 72.731 * [backup-simplify]: Simplify 2 into 2 72.731 * [taylor]: Taking taylor expansion of (* n PI) in k 72.731 * [taylor]: Taking taylor expansion of n in k 72.731 * [backup-simplify]: Simplify n into n 72.731 * [taylor]: Taking taylor expansion of PI in k 72.731 * [backup-simplify]: Simplify PI into PI 72.731 * [backup-simplify]: Simplify (* n PI) into (* n PI) 72.731 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 72.731 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 72.731 * [backup-simplify]: Simplify (+ 0 1) into 1 72.731 * [backup-simplify]: Simplify (* 1 (log (* 2 (* n PI)))) into (log (* 2 (* n PI))) 72.732 * [backup-simplify]: Simplify (exp (log (* 2 (* n PI)))) into (* 2 (* n PI)) 72.732 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 72.732 * [backup-simplify]: Simplify (- 0) into 0 72.732 * [backup-simplify]: Simplify (+ 1 0) into 1 72.733 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 72.733 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 72.733 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 72.733 * [backup-simplify]: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2)))) 72.733 * [taylor]: Taking taylor expansion of (sqrt k) in k 72.733 * [taylor]: Taking taylor expansion of k in k 72.733 * [backup-simplify]: Simplify 0 into 0 72.733 * [backup-simplify]: Simplify 1 into 1 72.734 * [backup-simplify]: Simplify (sqrt 0) into 0 72.735 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 72.735 * [backup-simplify]: Simplify (* (sqrt (/ 1 (* PI (* n 2)))) 0) into 0 72.735 * [taylor]: Taking taylor expansion of 0 in n 72.735 * [backup-simplify]: Simplify 0 into 0 72.735 * [backup-simplify]: Simplify 0 into 0 72.736 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 72.736 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 72.737 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 72.738 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 72.739 * [backup-simplify]: Simplify (+ (* 1 0) (* (- +nan.0) (log (* 2 (* n PI))))) into (- (* +nan.0 (log (* 2 (* n PI))))) 72.739 * [backup-simplify]: Simplify (* (exp (log (* 2 (* n PI)))) (+ (* (/ (pow (- (* +nan.0 (log (* 2 (* n PI))))) 1) 1)))) into (* +nan.0 (* (log (* 2 (* n PI))) (* n PI))) 72.739 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* +nan.0 (* (log (* 2 (* n PI))) (* n PI)))) 1)) (pow (* 2 (* n PI)) 1)))) 1) into (* +nan.0 (log (* 2 (* n PI)))) 72.740 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 72.741 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 72.742 * [backup-simplify]: Simplify (+ (* 1/2 (- +nan.0)) (* 0 1)) into (- +nan.0) 72.743 * [backup-simplify]: Simplify (+ (* 1/2 (* +nan.0 (log (* 2 (* n PI))))) (* (- +nan.0) (log (* 2 (* n PI))))) into (- (* +nan.0 (log (* 2 (* n PI))))) 72.743 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* +nan.0 (log (* 2 (* n PI))))) 1) 1)))) into (* +nan.0 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) 72.744 * [backup-simplify]: Simplify (- (+ (* (sqrt (/ 1 (* PI (* n 2)))) (/ (* +nan.0 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) (pow (* 2 (* n PI)) 1/2))))) into (- (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))))) 72.746 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (* PI (* n 2)))) +nan.0) (* (- (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))))) 0)) into (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) 72.746 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n 72.746 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n 72.746 * [taylor]: Taking taylor expansion of +nan.0 in n 72.746 * [backup-simplify]: Simplify +nan.0 into +nan.0 72.746 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n 72.746 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 72.746 * [taylor]: Taking taylor expansion of (/ 1 (* n PI)) in n 72.746 * [taylor]: Taking taylor expansion of (* n PI) in n 72.746 * [taylor]: Taking taylor expansion of n in n 72.746 * [backup-simplify]: Simplify 0 into 0 72.746 * [backup-simplify]: Simplify 1 into 1 72.746 * [taylor]: Taking taylor expansion of PI in n 72.746 * [backup-simplify]: Simplify PI into PI 72.747 * [backup-simplify]: Simplify (* 0 PI) into 0 72.748 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 72.749 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI) 72.749 * [backup-simplify]: Simplify (sqrt 0) into 0 72.750 * [backup-simplify]: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 72.751 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n 72.751 * [taylor]: Taking taylor expansion of 1/2 in n 72.751 * [backup-simplify]: Simplify 1/2 into 1/2 72.751 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 72.751 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 72.753 * [backup-simplify]: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 72.753 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0 72.756 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 72.758 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 72.760 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 1/2) PI))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 72.760 * [backup-simplify]: Simplify 0 into 0 72.762 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 72.762 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 72.763 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 72.764 * [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 73.097 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 73.097 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 73.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (log (* 2 (* n PI)))))) into (- (* +nan.0 (log (* 2 (* n PI))))) 73.099 * [backup-simplify]: Simplify (* (exp (log (* 2 (* n PI)))) (+ (* (/ (pow (- (* +nan.0 (log (* 2 (* n PI))))) 2) 2)) (* (/ (pow (- (* +nan.0 (log (* 2 (* n PI))))) 1) 1)))) into (* -2 (* (+ (* +nan.0 (pow (log (* 2 (* n PI))) 2)) (- (* +nan.0 (log (* 2 (* n PI)))))) (* n PI))) 73.099 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* +nan.0 (* (log (* 2 (* n PI))) (* n PI)))) 2)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 (* -2 (* (+ (* +nan.0 (pow (log (* 2 (* n PI))) 2)) (- (* +nan.0 (log (* 2 (* n PI)))))) (* n PI)))) 1)) (pow (* 2 (* n PI)) 1)))) 2) into (* -1/2 (+ (* +nan.0 (pow (log (* 2 (* n PI))) 2)) (- (* +nan.0 (log (* 2 (* n PI))))))) 73.101 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 73.101 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 73.102 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 73.105 * [backup-simplify]: Simplify (+ (* 1/2 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 1))) into (- +nan.0) 73.107 * [backup-simplify]: Simplify (+ (* 1/2 (* -1/2 (+ (* +nan.0 (pow (log (* 2 (* n PI))) 2)) (- (* +nan.0 (log (* 2 (* n PI)))))))) (+ (* (- +nan.0) (* +nan.0 (log (* 2 (* n PI))))) (* (- +nan.0) (log (* 2 (* n PI)))))) into (- (+ (* +nan.0 (pow (log (* 2 (* n PI))) 2)) (- (* +nan.0 (log (* 2 (* n PI))))))) 73.108 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* +nan.0 (log (* 2 (* n PI))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (pow (log (* 2 (* n PI))) 2)) (- (* +nan.0 (log (* 2 (* n PI))))))) 1) 1)))) into (* -1 (* (sqrt (* PI (* n 2))) (+ (* +nan.0 (pow (log (* 2 (* n PI))) 2)) (- (* +nan.0 (log (* 2 (* n PI)))))))) 73.112 * [backup-simplify]: Simplify (- (+ (* (sqrt (/ 1 (* PI (* n 2)))) (/ (* -1 (* (sqrt (* PI (* n 2))) (+ (* +nan.0 (pow (log (* 2 (* n PI))) 2)) (- (* +nan.0 (log (* 2 (* n PI)))))))) (pow (* 2 (* n PI)) 1/2))) (* (- (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))))) (/ (* +nan.0 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) (pow (* 2 (* n PI)) 1/2))))) into (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (* n PI)))))))))) 73.121 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (* PI (* n 2)))) +nan.0) (+ (* (- (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))))) +nan.0) (* (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (* n PI)))))))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))))) 73.121 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))))) in n 73.121 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))))) in n 73.121 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) in n 73.121 * [taylor]: Taking taylor expansion of +nan.0 in n 73.121 * [backup-simplify]: Simplify +nan.0 into +nan.0 73.121 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))) in n 73.121 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) in n 73.121 * [taylor]: Taking taylor expansion of (sqrt 2) in n 73.121 * [taylor]: Taking taylor expansion of 2 in n 73.121 * [backup-simplify]: Simplify 2 into 2 73.122 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 73.123 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 73.123 * [taylor]: Taking taylor expansion of (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2)) in n 73.123 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 73.123 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 73.123 * [taylor]: Taking taylor expansion of 2 in n 73.123 * [backup-simplify]: Simplify 2 into 2 73.123 * [taylor]: Taking taylor expansion of (* n PI) in n 73.123 * [taylor]: Taking taylor expansion of n in n 73.123 * [backup-simplify]: Simplify 0 into 0 73.123 * [backup-simplify]: Simplify 1 into 1 73.123 * [taylor]: Taking taylor expansion of PI in n 73.123 * [backup-simplify]: Simplify PI into PI 73.123 * [backup-simplify]: Simplify (* 0 PI) into 0 73.124 * [backup-simplify]: Simplify (* 2 0) into 0 73.125 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 73.127 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 73.128 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 73.128 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in n 73.128 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n 73.128 * [taylor]: Taking taylor expansion of 1/2 in n 73.128 * [backup-simplify]: Simplify 1/2 into 1/2 73.128 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 73.129 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 73.129 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 73.129 * [taylor]: Taking taylor expansion of (/ 1 (* n PI)) in n 73.129 * [taylor]: Taking taylor expansion of (* n PI) in n 73.129 * [taylor]: Taking taylor expansion of n in n 73.129 * [backup-simplify]: Simplify 0 into 0 73.129 * [backup-simplify]: Simplify 1 into 1 73.129 * [taylor]: Taking taylor expansion of PI in n 73.129 * [backup-simplify]: Simplify PI into PI 73.130 * [backup-simplify]: Simplify (* 0 PI) into 0 73.131 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 73.132 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI) 73.132 * [backup-simplify]: Simplify (sqrt 0) into 0 73.134 * [backup-simplify]: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 73.134 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n 73.134 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n 73.134 * [taylor]: Taking taylor expansion of +nan.0 in n 73.134 * [backup-simplify]: Simplify +nan.0 into +nan.0 73.134 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n 73.134 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 73.134 * [taylor]: Taking taylor expansion of (/ 1 (* n PI)) in n 73.134 * [taylor]: Taking taylor expansion of (* n PI) in n 73.134 * [taylor]: Taking taylor expansion of n in n 73.134 * [backup-simplify]: Simplify 0 into 0 73.135 * [backup-simplify]: Simplify 1 into 1 73.135 * [taylor]: Taking taylor expansion of PI in n 73.135 * [backup-simplify]: Simplify PI into PI 73.135 * [backup-simplify]: Simplify (* 0 PI) into 0 73.136 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 73.137 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI) 73.137 * [backup-simplify]: Simplify (sqrt 0) into 0 73.139 * [backup-simplify]: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 73.139 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n 73.139 * [taylor]: Taking taylor expansion of 1/2 in n 73.139 * [backup-simplify]: Simplify 1/2 into 1/2 73.140 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 73.141 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 73.142 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 73.143 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 73.145 * [backup-simplify]: Simplify (* (+ (log n) (log (* 2 PI))) (pow (sqrt 1/2) 2)) into (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))) 73.148 * [backup-simplify]: Simplify (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) into (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) 73.150 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 73.150 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 73.151 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 73.152 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 73.154 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 73.156 * [backup-simplify]: Simplify (+ (* (+ (log n) (log (* 2 PI))) 0) (* 0 (pow (sqrt 1/2) 2))) into 0 73.158 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))))) into 0 73.162 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) (/ +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))) 73.164 * [backup-simplify]: Simplify (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) 0) into 0 73.176 * [backup-simplify]: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))) (* 0 0)) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))) 73.180 * [backup-simplify]: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 73.180 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0 73.186 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 73.189 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 73.203 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))) (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) 73.222 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) 73.236 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) 73.237 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 73.238 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 73.238 * [backup-simplify]: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 73.241 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 PI) 2) (+)) (* 2 0)) into (/ +nan.0 (pow PI 2)) 73.244 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (/ +nan.0 PI) 0) (* (/ +nan.0 (pow PI 2)) (sqrt 1/2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 73.249 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 73.252 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 73.255 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 73.281 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) (* n k)) (+ (* (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) (pow (* 1 k) 2)) (* (- (* +nan.0 (/ (sqrt 1/2) PI))) (* 1 k)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) PI)) (- (+ (* +nan.0 (/ (* (sqrt 1/2) (pow k 2)) PI)) (- (+ (* +nan.0 (/ (* n (* (sqrt 1/2) k)) (pow PI 2))) (- (+ (* +nan.0 (/ (* (log n) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2)))) PI)) (- (* +nan.0 (/ (* (sqrt 1/2) k) PI))))))))))) 73.282 * [backup-simplify]: Simplify (/ (sqrt (/ 1 k)) (pow (pow (* (/ 1 n) (* 2 PI)) (/ (+ 1 (sqrt (/ 1 k))) 1)) (/ (- 1 (sqrt (/ 1 k))) 2))) into (* (/ 1 (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k)))))) (sqrt (/ 1 k))) 73.282 * [approximate]: Taking taylor expansion of (* (/ 1 (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k)))))) (sqrt (/ 1 k))) in (k n) around 0 73.282 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k)))))) (sqrt (/ 1 k))) in n 73.282 * [taylor]: Taking taylor expansion of (/ 1 (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k)))))) in n 73.282 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k))))) in n 73.282 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))))) in n 73.282 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)))) in n 73.282 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ 1 k)))) in n 73.282 * [taylor]: Taking taylor expansion of 1/2 in n 73.282 * [backup-simplify]: Simplify 1/2 into 1/2 73.282 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ 1 k))) in n 73.282 * [taylor]: Taking taylor expansion of 1 in n 73.282 * [backup-simplify]: Simplify 1 into 1 73.282 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 73.283 * [taylor]: Taking taylor expansion of (/ 1 k) in n 73.283 * [taylor]: Taking taylor expansion of k in n 73.283 * [backup-simplify]: Simplify k into k 73.283 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 73.283 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 73.283 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 73.283 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 73.283 * [taylor]: Taking taylor expansion of (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))) in n 73.283 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) in n 73.283 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n))))) in n 73.283 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n)))) in n 73.283 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in n 73.283 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 73.283 * [taylor]: Taking taylor expansion of (/ 1 k) in n 73.283 * [taylor]: Taking taylor expansion of k in n 73.283 * [backup-simplify]: Simplify k into k 73.283 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 73.283 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 73.283 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 73.284 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 73.284 * [taylor]: Taking taylor expansion of 1 in n 73.284 * [backup-simplify]: Simplify 1 into 1 73.284 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 73.284 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 73.284 * [taylor]: Taking taylor expansion of 2 in n 73.284 * [backup-simplify]: Simplify 2 into 2 73.284 * [taylor]: Taking taylor expansion of (/ PI n) in n 73.284 * [taylor]: Taking taylor expansion of PI in n 73.284 * [backup-simplify]: Simplify PI into PI 73.284 * [taylor]: Taking taylor expansion of n in n 73.284 * [backup-simplify]: Simplify 0 into 0 73.284 * [backup-simplify]: Simplify 1 into 1 73.284 * [backup-simplify]: Simplify (/ PI 1) into PI 73.285 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 73.286 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 73.286 * [backup-simplify]: Simplify (+ (sqrt (/ 1 k)) 1) into (+ (sqrt (/ 1 k)) 1) 73.287 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 73.288 * [backup-simplify]: Simplify (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) into (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) 73.289 * [backup-simplify]: Simplify (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) into (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 73.290 * [backup-simplify]: Simplify (log (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))))) into (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) 73.290 * [backup-simplify]: Simplify (- (sqrt (/ 1 k))) into (- (sqrt (/ 1 k))) 73.290 * [backup-simplify]: Simplify (+ 1 (- (sqrt (/ 1 k)))) into (- 1 (sqrt (/ 1 k))) 73.290 * [backup-simplify]: Simplify (* 1/2 (- 1 (sqrt (/ 1 k)))) into (* 1/2 (- 1 (sqrt (/ 1 k)))) 73.291 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n))))) 73.292 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) 73.292 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into (/ 1 (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n))))))) 73.293 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 73.293 * [taylor]: Taking taylor expansion of (/ 1 k) in n 73.293 * [taylor]: Taking taylor expansion of k in n 73.293 * [backup-simplify]: Simplify k into k 73.293 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 73.293 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 73.293 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 73.293 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 73.293 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k)))))) (sqrt (/ 1 k))) in k 73.293 * [taylor]: Taking taylor expansion of (/ 1 (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k)))))) in k 73.293 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k))))) in k 73.293 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))))) in k 73.293 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)))) in k 73.293 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ 1 k)))) in k 73.293 * [taylor]: Taking taylor expansion of 1/2 in k 73.293 * [backup-simplify]: Simplify 1/2 into 1/2 73.293 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ 1 k))) in k 73.293 * [taylor]: Taking taylor expansion of 1 in k 73.293 * [backup-simplify]: Simplify 1 into 1 73.293 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 73.293 * [taylor]: Taking taylor expansion of (/ 1 k) in k 73.293 * [taylor]: Taking taylor expansion of k in k 73.293 * [backup-simplify]: Simplify 0 into 0 73.293 * [backup-simplify]: Simplify 1 into 1 73.293 * [backup-simplify]: Simplify (/ 1 1) into 1 73.294 * [backup-simplify]: Simplify (sqrt 0) into 0 73.295 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 73.295 * [taylor]: Taking taylor expansion of (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))) in k 73.295 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) in k 73.295 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n))))) in k 73.295 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n)))) in k 73.295 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in k 73.295 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 73.295 * [taylor]: Taking taylor expansion of (/ 1 k) in k 73.295 * [taylor]: Taking taylor expansion of k in k 73.295 * [backup-simplify]: Simplify 0 into 0 73.295 * [backup-simplify]: Simplify 1 into 1 73.295 * [backup-simplify]: Simplify (/ 1 1) into 1 73.295 * [backup-simplify]: Simplify (sqrt 0) into 0 73.296 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 73.296 * [taylor]: Taking taylor expansion of 1 in k 73.296 * [backup-simplify]: Simplify 1 into 1 73.296 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 73.296 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 73.296 * [taylor]: Taking taylor expansion of 2 in k 73.296 * [backup-simplify]: Simplify 2 into 2 73.296 * [taylor]: Taking taylor expansion of (/ PI n) in k 73.296 * [taylor]: Taking taylor expansion of PI in k 73.296 * [backup-simplify]: Simplify PI into PI 73.296 * [taylor]: Taking taylor expansion of n in k 73.296 * [backup-simplify]: Simplify n into n 73.296 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 73.296 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 73.296 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 73.297 * [backup-simplify]: Simplify (+ 0 0) into 0 73.297 * [backup-simplify]: Simplify (* 0 (log (* 2 (/ PI n)))) into 0 73.297 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 73.297 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ PI n))) into 0 73.297 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (/ PI n)) 1)))) 1) into 0 73.298 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 73.298 * [backup-simplify]: Simplify (+ (* 0 0) (* (- +nan.0) (log (* 2 (/ PI n))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 73.298 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 73.298 * [backup-simplify]: Simplify (log (exp (- (* +nan.0 (log (* 2 (/ PI n))))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 73.299 * [backup-simplify]: Simplify (- 0) into 0 73.299 * [backup-simplify]: Simplify (+ 0 0) into 0 73.299 * [backup-simplify]: Simplify (* 1/2 0) into 0 73.299 * [backup-simplify]: Simplify (* 0 (- (* +nan.0 (log (* 2 (/ PI n)))))) into 0 73.299 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 73.300 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ PI n)))) into 0 73.301 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (/ PI n)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (/ PI n)) 1)))) 2) into 0 73.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 73.303 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 73.303 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 73.304 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (log (* 2 (/ PI n)))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 73.305 * [backup-simplify]: Simplify (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (+ (* (/ (pow (- (* +nan.0 (log (* 2 (/ PI n))))) 1) 1)))) into (* +nan.0 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (log (* 2 (/ PI n))))) 73.305 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* +nan.0 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (log (* 2 (/ PI n)))))) 1)) (pow (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 1)))) 1) into (* +nan.0 (log (* 2 (/ PI n)))) 73.305 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 73.306 * [backup-simplify]: Simplify (+ 1 (- +nan.0)) into (- +nan.0) 73.307 * [backup-simplify]: Simplify (+ (* 1/2 (- +nan.0)) (* 0 0)) into (- +nan.0) 73.307 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (log (* 2 (/ PI n))))) (* (- +nan.0) (- (* +nan.0 (log (* 2 (/ PI n))))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 73.307 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 73.308 * [backup-simplify]: Simplify (/ 1 (exp (- (* +nan.0 (log (* 2 (/ PI n))))))) into (/ 1 (exp (- (* +nan.0 (log (* 2 (/ PI n))))))) 73.308 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 73.308 * [taylor]: Taking taylor expansion of (/ 1 k) in k 73.308 * [taylor]: Taking taylor expansion of k in k 73.308 * [backup-simplify]: Simplify 0 into 0 73.308 * [backup-simplify]: Simplify 1 into 1 73.308 * [backup-simplify]: Simplify (/ 1 1) into 1 73.308 * [backup-simplify]: Simplify (sqrt 0) into 0 73.309 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 73.309 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k)))))) (sqrt (/ 1 k))) in k 73.309 * [taylor]: Taking taylor expansion of (/ 1 (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k)))))) in k 73.309 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k))))) in k 73.309 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))))) in k 73.309 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)))) in k 73.309 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ 1 k)))) in k 73.309 * [taylor]: Taking taylor expansion of 1/2 in k 73.309 * [backup-simplify]: Simplify 1/2 into 1/2 73.309 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ 1 k))) in k 73.309 * [taylor]: Taking taylor expansion of 1 in k 73.309 * [backup-simplify]: Simplify 1 into 1 73.309 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 73.309 * [taylor]: Taking taylor expansion of (/ 1 k) in k 73.309 * [taylor]: Taking taylor expansion of k in k 73.309 * [backup-simplify]: Simplify 0 into 0 73.309 * [backup-simplify]: Simplify 1 into 1 73.310 * [backup-simplify]: Simplify (/ 1 1) into 1 73.310 * [backup-simplify]: Simplify (sqrt 0) into 0 73.311 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 73.311 * [taylor]: Taking taylor expansion of (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))) in k 73.311 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) in k 73.311 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n))))) in k 73.311 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n)))) in k 73.311 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in k 73.311 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 73.311 * [taylor]: Taking taylor expansion of (/ 1 k) in k 73.311 * [taylor]: Taking taylor expansion of k in k 73.311 * [backup-simplify]: Simplify 0 into 0 73.311 * [backup-simplify]: Simplify 1 into 1 73.311 * [backup-simplify]: Simplify (/ 1 1) into 1 73.311 * [backup-simplify]: Simplify (sqrt 0) into 0 73.312 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 73.312 * [taylor]: Taking taylor expansion of 1 in k 73.312 * [backup-simplify]: Simplify 1 into 1 73.312 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 73.312 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 73.312 * [taylor]: Taking taylor expansion of 2 in k 73.312 * [backup-simplify]: Simplify 2 into 2 73.312 * [taylor]: Taking taylor expansion of (/ PI n) in k 73.312 * [taylor]: Taking taylor expansion of PI in k 73.312 * [backup-simplify]: Simplify PI into PI 73.312 * [taylor]: Taking taylor expansion of n in k 73.312 * [backup-simplify]: Simplify n into n 73.312 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 73.312 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 73.313 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 73.313 * [backup-simplify]: Simplify (+ 0 0) into 0 73.313 * [backup-simplify]: Simplify (* 0 (log (* 2 (/ PI n)))) into 0 73.313 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 73.313 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ PI n))) into 0 73.314 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (/ PI n)) 1)))) 1) into 0 73.314 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 73.314 * [backup-simplify]: Simplify (+ (* 0 0) (* (- +nan.0) (log (* 2 (/ PI n))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 73.315 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 73.315 * [backup-simplify]: Simplify (log (exp (- (* +nan.0 (log (* 2 (/ PI n))))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 73.315 * [backup-simplify]: Simplify (- 0) into 0 73.315 * [backup-simplify]: Simplify (+ 0 0) into 0 73.315 * [backup-simplify]: Simplify (* 1/2 0) into 0 73.315 * [backup-simplify]: Simplify (* 0 (- (* +nan.0 (log (* 2 (/ PI n)))))) into 0 73.316 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 73.316 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ PI n)))) into 0 73.317 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (/ PI n)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (/ PI n)) 1)))) 2) into 0 73.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 73.320 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 73.320 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 73.321 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (log (* 2 (/ PI n)))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 73.321 * [backup-simplify]: Simplify (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (+ (* (/ (pow (- (* +nan.0 (log (* 2 (/ PI n))))) 1) 1)))) into (* +nan.0 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (log (* 2 (/ PI n))))) 73.321 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* +nan.0 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (log (* 2 (/ PI n)))))) 1)) (pow (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 1)))) 1) into (* +nan.0 (log (* 2 (/ PI n)))) 73.322 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 73.322 * [backup-simplify]: Simplify (+ 1 (- +nan.0)) into (- +nan.0) 73.323 * [backup-simplify]: Simplify (+ (* 1/2 (- +nan.0)) (* 0 0)) into (- +nan.0) 73.324 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (log (* 2 (/ PI n))))) (* (- +nan.0) (- (* +nan.0 (log (* 2 (/ PI n))))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 73.324 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 73.324 * [backup-simplify]: Simplify (/ 1 (exp (- (* +nan.0 (log (* 2 (/ PI n))))))) into (/ 1 (exp (- (* +nan.0 (log (* 2 (/ PI n))))))) 73.324 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 73.324 * [taylor]: Taking taylor expansion of (/ 1 k) in k 73.324 * [taylor]: Taking taylor expansion of k in k 73.324 * [backup-simplify]: Simplify 0 into 0 73.324 * [backup-simplify]: Simplify 1 into 1 73.324 * [backup-simplify]: Simplify (/ 1 1) into 1 73.324 * [backup-simplify]: Simplify (sqrt 0) into 0 73.325 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 73.325 * [backup-simplify]: Simplify (* (/ 1 (exp (- (* +nan.0 (log (* 2 (/ PI n))))))) 0) into 0 73.325 * [taylor]: Taking taylor expansion of 0 in n 73.325 * [backup-simplify]: Simplify 0 into 0 73.325 * [backup-simplify]: Simplify 0 into 0 73.326 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 73.327 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ PI n))))) into 0 73.330 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 (/ PI n)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 (/ PI n)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 (/ PI n)) 1)))) 6) into 0 73.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 73.335 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 73.335 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 73.336 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (log (* 2 (/ PI n))))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 73.337 * [backup-simplify]: Simplify (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (+ (* (/ (pow (- (* +nan.0 (log (* 2 (/ PI n))))) 2) 2)) (* (/ (pow (- (* +nan.0 (log (* 2 (/ PI n))))) 1) 1)))) into (* -1 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (+ (* +nan.0 (log (* 2 (/ PI n)))) (- (* +nan.0 (pow (log (* 2 (/ PI n))) 2)))))) 73.337 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* +nan.0 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (log (* 2 (/ PI n)))))) 2)) (pow (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 2))) (* 1 (/ (* 1 (pow (* 2 (* -1 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (+ (* +nan.0 (log (* 2 (/ PI n)))) (- (* +nan.0 (pow (log (* 2 (/ PI n))) 2))))))) 1)) (pow (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 1)))) 2) into (* -1/2 (+ (* +nan.0 (log (* 2 (/ PI n)))) (- (* +nan.0 (pow (log (* 2 (/ PI n))) 2))))) 73.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 73.340 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 73.340 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 73.341 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 73.342 * [backup-simplify]: Simplify (+ (* 1/2 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0))) into (- +nan.0) 73.343 * [backup-simplify]: Simplify (+ (* 0 (* -1/2 (+ (* +nan.0 (log (* 2 (/ PI n)))) (- (* +nan.0 (pow (log (* 2 (/ PI n))) 2)))))) (+ (* (- +nan.0) (* +nan.0 (log (* 2 (/ PI n))))) (* (- +nan.0) (- (* +nan.0 (log (* 2 (/ PI n)))))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 73.343 * [backup-simplify]: Simplify (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (+ (* (/ (pow (- (* +nan.0 (log (* 2 (/ PI n))))) 1) 1)))) into (* +nan.0 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (log (* 2 (/ PI n))))) 73.343 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (- (* +nan.0 (log (* 2 (/ PI n))))))) (/ (* +nan.0 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (log (* 2 (/ PI n))))) (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))))) into (- (* +nan.0 (/ (log (* 2 (/ PI n))) (exp (- (* +nan.0 (log (* 2 (/ PI n))))))))) 73.344 * [backup-simplify]: Simplify (+ (* (/ 1 (exp (- (* +nan.0 (log (* 2 (/ PI n))))))) +nan.0) (* (- (* +nan.0 (/ (log (* 2 (/ PI n))) (exp (- (* +nan.0 (log (* 2 (/ PI n))))))))) 0)) into (- (* +nan.0 (/ 1 (exp (- (* +nan.0 (log (* 2 (/ PI n))))))))) 73.344 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (- (* +nan.0 (log (* 2 (/ PI n))))))))) in n 73.344 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))) in n 73.344 * [taylor]: Taking taylor expansion of +nan.0 in n 73.344 * [backup-simplify]: Simplify +nan.0 into +nan.0 73.344 * [taylor]: Taking taylor expansion of (/ 1 (exp (- (* +nan.0 (log (* 2 (/ PI n))))))) in n 73.344 * [taylor]: Taking taylor expansion of (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) in n 73.344 * [taylor]: Taking taylor expansion of (- (* +nan.0 (log (* 2 (/ PI n))))) in n 73.344 * [taylor]: Taking taylor expansion of (* +nan.0 (log (* 2 (/ PI n)))) in n 73.344 * [taylor]: Taking taylor expansion of +nan.0 in n 73.344 * [backup-simplify]: Simplify +nan.0 into +nan.0 73.344 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 73.344 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 73.344 * [taylor]: Taking taylor expansion of 2 in n 73.344 * [backup-simplify]: Simplify 2 into 2 73.344 * [taylor]: Taking taylor expansion of (/ PI n) in n 73.344 * [taylor]: Taking taylor expansion of PI in n 73.344 * [backup-simplify]: Simplify PI into PI 73.344 * [taylor]: Taking taylor expansion of n in n 73.344 * [backup-simplify]: Simplify 0 into 0 73.344 * [backup-simplify]: Simplify 1 into 1 73.344 * [backup-simplify]: Simplify (/ PI 1) into PI 73.345 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 73.345 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 73.346 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 73.347 * [backup-simplify]: Simplify (* +nan.0 (- (log (* 2 PI)) (log n))) into (* +nan.0 (- (log (* 2 PI)) (log n))) 73.347 * [backup-simplify]: Simplify (- (* +nan.0 (- (log (* 2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 73.348 * [backup-simplify]: Simplify (- (* +nan.0 (- (log (* 2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 73.349 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) 73.351 * [backup-simplify]: Simplify (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) into (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) 73.353 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) into (/ +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) 73.354 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) into (- (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))))) 73.356 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))))) into (- (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))))) 73.356 * [backup-simplify]: Simplify 0 into 0 73.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 73.358 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 73.358 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 73.359 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ PI n)))))) into 0 73.362 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 2 (/ PI n)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* 2 (/ PI n)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* 2 (/ PI n)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 2 (/ PI n)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* 2 (/ PI n)) 1)))) 24) into 0 73.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 73.365 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 73.366 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 73.368 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (log (* 2 (/ PI n)))))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 73.369 * [backup-simplify]: Simplify (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (+ (* (/ (pow (- (* +nan.0 (log (* 2 (/ PI n))))) 3) 6)) (* (/ (pow (- (* +nan.0 (log (* 2 (/ PI n))))) 1) 1) (/ (pow (- (* +nan.0 (log (* 2 (/ PI n))))) 1) 1)) (* (/ (pow (- (* +nan.0 (log (* 2 (/ PI n))))) 1) 1)))) into (* -1 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (+ (* +nan.0 (pow (log (* 2 (/ PI n))) 3)) (- (+ (* +nan.0 (pow (log (* 2 (/ PI n))) 2)) (- (* +nan.0 (log (* 2 (/ PI n)))))))))) 73.372 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* +nan.0 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (log (* 2 (/ PI n)))))) 3)) (pow (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 3))) (* -3 (/ (* (pow (* 1 (* +nan.0 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (log (* 2 (/ PI n)))))) 1) (pow (* 2 (* -1 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (+ (* +nan.0 (log (* 2 (/ PI n)))) (- (* +nan.0 (pow (log (* 2 (/ PI n))) 2))))))) 1)) (pow (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* -1 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (+ (* +nan.0 (pow (log (* 2 (/ PI n))) 3)) (- (+ (* +nan.0 (pow (log (* 2 (/ PI n))) 2)) (- (* +nan.0 (log (* 2 (/ PI n))))))))))) 1)) (pow (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 1)))) 6) into (* -1/6 (+ (* +nan.0 (pow (log (* 2 (/ PI n))) 3)) (- (+ (* +nan.0 (pow (log (* 2 (/ PI n))) 2)) (- (* +nan.0 (log (* 2 (/ PI n))))))))) 73.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 73.378 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 73.378 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 73.379 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 73.382 * [backup-simplify]: Simplify (+ (* 1/2 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0)))) into (- +nan.0) 73.385 * [backup-simplify]: Simplify (+ (* 0 (* -1/6 (+ (* +nan.0 (pow (log (* 2 (/ PI n))) 3)) (- (+ (* +nan.0 (pow (log (* 2 (/ PI n))) 2)) (- (* +nan.0 (log (* 2 (/ PI n)))))))))) (+ (* (- +nan.0) (* -1/2 (+ (* +nan.0 (log (* 2 (/ PI n)))) (- (* +nan.0 (pow (log (* 2 (/ PI n))) 2)))))) (+ (* (- +nan.0) (* +nan.0 (log (* 2 (/ PI n))))) (* (- +nan.0) (- (* +nan.0 (log (* 2 (/ PI n))))))))) into (- (+ (* +nan.0 (log (* 2 (/ PI n)))) (- (* +nan.0 (pow (log (* 2 (/ PI n))) 2))))) 73.386 * [backup-simplify]: Simplify (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (+ (* (/ (pow (- (* +nan.0 (log (* 2 (/ PI n))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (log (* 2 (/ PI n)))) (- (* +nan.0 (pow (log (* 2 (/ PI n))) 2))))) 1) 1)))) into (* -1 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (+ (* +nan.0 (log (* 2 (/ PI n)))) (- (* +nan.0 (pow (log (* 2 (/ PI n))) 2)))))) 73.387 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (- (* +nan.0 (log (* 2 (/ PI n))))))) (/ (* -1 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (+ (* +nan.0 (log (* 2 (/ PI n)))) (- (* +nan.0 (pow (log (* 2 (/ PI n))) 2)))))) (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))) (* (- (* +nan.0 (/ (log (* 2 (/ PI n))) (exp (- (* +nan.0 (log (* 2 (/ PI n))))))))) (/ (* +nan.0 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (log (* 2 (/ PI n))))) (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))))) into (- (+ (* +nan.0 (/ (pow (log (* 2 (/ PI n))) 2) (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))) (- (* +nan.0 (/ (log (* 2 (/ PI n))) (exp (- (* +nan.0 (log (* 2 (/ PI n))))))))))) 73.389 * [backup-simplify]: Simplify (+ (* (/ 1 (exp (- (* +nan.0 (log (* 2 (/ PI n))))))) +nan.0) (+ (* (- (* +nan.0 (/ (log (* 2 (/ PI n))) (exp (- (* +nan.0 (log (* 2 (/ PI n))))))))) +nan.0) (* (- (+ (* +nan.0 (/ (pow (log (* 2 (/ PI n))) 2) (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))) (- (* +nan.0 (/ (log (* 2 (/ PI n))) (exp (- (* +nan.0 (log (* 2 (/ PI n))))))))))) 0))) into (- (+ (* +nan.0 (/ 1 (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))) (- (* +nan.0 (/ (log (* 2 (/ PI n))) (exp (- (* +nan.0 (log (* 2 (/ PI n))))))))))) 73.389 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))) (- (* +nan.0 (/ (log (* 2 (/ PI n))) (exp (- (* +nan.0 (log (* 2 (/ PI n))))))))))) in n 73.389 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))) (- (* +nan.0 (/ (log (* 2 (/ PI n))) (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))))) in n 73.389 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))) in n 73.389 * [taylor]: Taking taylor expansion of +nan.0 in n 73.389 * [backup-simplify]: Simplify +nan.0 into +nan.0 73.389 * [taylor]: Taking taylor expansion of (/ 1 (exp (- (* +nan.0 (log (* 2 (/ PI n))))))) in n 73.389 * [taylor]: Taking taylor expansion of (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) in n 73.389 * [taylor]: Taking taylor expansion of (- (* +nan.0 (log (* 2 (/ PI n))))) in n 73.389 * [taylor]: Taking taylor expansion of (* +nan.0 (log (* 2 (/ PI n)))) in n 73.389 * [taylor]: Taking taylor expansion of +nan.0 in n 73.389 * [backup-simplify]: Simplify +nan.0 into +nan.0 73.389 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 73.389 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 73.389 * [taylor]: Taking taylor expansion of 2 in n 73.389 * [backup-simplify]: Simplify 2 into 2 73.389 * [taylor]: Taking taylor expansion of (/ PI n) in n 73.389 * [taylor]: Taking taylor expansion of PI in n 73.389 * [backup-simplify]: Simplify PI into PI 73.389 * [taylor]: Taking taylor expansion of n in n 73.389 * [backup-simplify]: Simplify 0 into 0 73.389 * [backup-simplify]: Simplify 1 into 1 73.390 * [backup-simplify]: Simplify (/ PI 1) into PI 73.390 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 73.391 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 73.393 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 73.394 * [backup-simplify]: Simplify (* +nan.0 (- (log (* 2 PI)) (log n))) into (* +nan.0 (- (log (* 2 PI)) (log n))) 73.395 * [backup-simplify]: Simplify (- (* +nan.0 (- (log (* 2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 73.396 * [backup-simplify]: Simplify (- (* +nan.0 (- (log (* 2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 73.399 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) 73.402 * [backup-simplify]: Simplify (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) into (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) 73.402 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (log (* 2 (/ PI n))) (exp (- (* +nan.0 (log (* 2 (/ PI n))))))))) in n 73.402 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (log (* 2 (/ PI n))) (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))) in n 73.402 * [taylor]: Taking taylor expansion of +nan.0 in n 73.402 * [backup-simplify]: Simplify +nan.0 into +nan.0 73.402 * [taylor]: Taking taylor expansion of (/ (log (* 2 (/ PI n))) (exp (- (* +nan.0 (log (* 2 (/ PI n))))))) in n 73.402 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 73.402 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 73.402 * [taylor]: Taking taylor expansion of 2 in n 73.402 * [backup-simplify]: Simplify 2 into 2 73.402 * [taylor]: Taking taylor expansion of (/ PI n) in n 73.402 * [taylor]: Taking taylor expansion of PI in n 73.402 * [backup-simplify]: Simplify PI into PI 73.402 * [taylor]: Taking taylor expansion of n in n 73.402 * [backup-simplify]: Simplify 0 into 0 73.402 * [backup-simplify]: Simplify 1 into 1 73.402 * [backup-simplify]: Simplify (/ PI 1) into PI 73.403 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 73.404 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 73.404 * [taylor]: Taking taylor expansion of (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) in n 73.404 * [taylor]: Taking taylor expansion of (- (* +nan.0 (log (* 2 (/ PI n))))) in n 73.404 * [taylor]: Taking taylor expansion of (* +nan.0 (log (* 2 (/ PI n)))) in n 73.404 * [taylor]: Taking taylor expansion of +nan.0 in n 73.404 * [backup-simplify]: Simplify +nan.0 into +nan.0 73.404 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 73.404 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 73.404 * [taylor]: Taking taylor expansion of 2 in n 73.404 * [backup-simplify]: Simplify 2 into 2 73.404 * [taylor]: Taking taylor expansion of (/ PI n) in n 73.404 * [taylor]: Taking taylor expansion of PI in n 73.404 * [backup-simplify]: Simplify PI into PI 73.404 * [taylor]: Taking taylor expansion of n in n 73.404 * [backup-simplify]: Simplify 0 into 0 73.404 * [backup-simplify]: Simplify 1 into 1 73.405 * [backup-simplify]: Simplify (/ PI 1) into PI 73.405 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 73.406 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 73.407 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 73.408 * [backup-simplify]: Simplify (* +nan.0 (- (log (* 2 PI)) (log n))) into (* +nan.0 (- (log (* 2 PI)) (log n))) 73.409 * [backup-simplify]: Simplify (- (* +nan.0 (- (log (* 2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 73.411 * [backup-simplify]: Simplify (- (* +nan.0 (- (log (* 2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 73.413 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) 73.415 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 73.416 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 73.419 * [backup-simplify]: Simplify (/ (- (log (* 2 PI)) (log n)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) into (/ (- (log (* 2 PI)) (log n)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) 73.422 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) into (/ +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) 73.426 * [backup-simplify]: Simplify (* +nan.0 (/ (- (log (* 2 PI)) (log n)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) into (* +nan.0 (/ (- (log (* 2 PI)) (log n)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) 73.430 * [backup-simplify]: Simplify (- (* +nan.0 (/ (- (log (* 2 PI)) (log n)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))))) into (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (* +nan.0 (/ (log (* 2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))))))) 73.439 * [backup-simplify]: Simplify (+ (/ +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (* +nan.0 (/ (log (* 2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))))))) into (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (* +nan.0 (/ (log (* 2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))))))))) 73.451 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (* +nan.0 (/ (log (* 2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))))))))) into (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (* +nan.0 (/ (log (* 2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))))))))) 73.460 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (* +nan.0 (/ (log (* 2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))))))))) into (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (* +nan.0 (/ (log (* 2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))))))))) 73.462 * [backup-simplify]: Simplify (- (* +nan.0 (- (log (* 2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 73.463 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 73.463 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 73.465 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 73.467 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 73.468 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 73.468 * [backup-simplify]: Simplify (- 0) into 0 73.472 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (/ (pow 0 1) 1)))) into 0 73.478 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) (/ 0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))))) into 0 73.481 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))))) into 0 73.481 * [backup-simplify]: Simplify (- 0) into 0 73.481 * [backup-simplify]: Simplify 0 into 0 73.481 * [backup-simplify]: Simplify 0 into 0 73.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 73.486 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 73.487 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 73.489 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ PI n))))))) into 0 73.497 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (* 2 (/ PI n)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (* 2 (/ PI n)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (* 2 (/ PI n)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (* 2 (/ PI n)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* 2 (/ PI n)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (* 2 (/ PI n)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (* 2 (/ PI n)) 1)))) 120) into 0 73.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 73.503 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)) (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 73.503 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 73.506 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (log (* 2 (/ PI n))))))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 73.508 * [backup-simplify]: Simplify (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (+ (* (/ (pow (- (* +nan.0 (log (* 2 (/ PI n))))) 4) 24)) (* (/ (pow (- (* +nan.0 (log (* 2 (/ PI n))))) 2) 2) (/ (pow (- (* +nan.0 (log (* 2 (/ PI n))))) 1) 1)) (* (/ (pow (- (* +nan.0 (log (* 2 (/ PI n))))) 1) 1) (/ (pow (- (* +nan.0 (log (* 2 (/ PI n))))) 1) 1)) (* (/ (pow (- (* +nan.0 (log (* 2 (/ PI n))))) 2) 2)) (* (/ (pow (- (* +nan.0 (log (* 2 (/ PI n))))) 1) 1)))) into (* -1 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (+ (* +nan.0 (log (* 2 (/ PI n)))) (- (+ (* +nan.0 (pow (log (* 2 (/ PI n))) 3)) (- (+ (* +nan.0 (pow (log (* 2 (/ PI n))) 2)) (- (* +nan.0 (pow (log (* 2 (/ PI n))) 4)))))))))) 73.514 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 (* +nan.0 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (log (* 2 (/ PI n)))))) 4)) (pow (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 4))) (* 12 (/ (* (pow (* 1 (* +nan.0 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (log (* 2 (/ PI n)))))) 2) (pow (* 2 (* -1 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (+ (* +nan.0 (log (* 2 (/ PI n)))) (- (* +nan.0 (pow (log (* 2 (/ PI n))) 2))))))) 1)) (pow (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 3))) (* -3 (/ (* 1 (pow (* 2 (* -1 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (+ (* +nan.0 (log (* 2 (/ PI n)))) (- (* +nan.0 (pow (log (* 2 (/ PI n))) 2))))))) 2)) (pow (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 2))) (* -4 (/ (* (pow (* 1 (* +nan.0 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (log (* 2 (/ PI n)))))) 1) 1 (pow (* 6 (* -1 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (+ (* +nan.0 (pow (log (* 2 (/ PI n))) 3)) (- (+ (* +nan.0 (pow (log (* 2 (/ PI n))) 2)) (- (* +nan.0 (log (* 2 (/ PI n))))))))))) 1)) (pow (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* -1 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (+ (* +nan.0 (log (* 2 (/ PI n)))) (- (+ (* +nan.0 (pow (log (* 2 (/ PI n))) 3)) (- (+ (* +nan.0 (pow (log (* 2 (/ PI n))) 2)) (- (* +nan.0 (pow (log (* 2 (/ PI n))) 4))))))))))) 1)) (pow (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 1)))) 24) into (* -1/24 (+ (* +nan.0 (log (* 2 (/ PI n)))) (- (+ (* +nan.0 (pow (log (* 2 (/ PI n))) 3)) (- (+ (* +nan.0 (pow (log (* 2 (/ PI n))) 2)) (- (* +nan.0 (pow (log (* 2 (/ PI n))) 4))))))))) 73.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 73.521 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 73.521 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 73.522 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 73.525 * [backup-simplify]: Simplify (+ (* 1/2 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0))))) into (- +nan.0) 73.528 * [backup-simplify]: Simplify (+ (* 0 (* -1/24 (+ (* +nan.0 (log (* 2 (/ PI n)))) (- (+ (* +nan.0 (pow (log (* 2 (/ PI n))) 3)) (- (+ (* +nan.0 (pow (log (* 2 (/ PI n))) 2)) (- (* +nan.0 (pow (log (* 2 (/ PI n))) 4)))))))))) (+ (* (- +nan.0) (* -1/6 (+ (* +nan.0 (pow (log (* 2 (/ PI n))) 3)) (- (+ (* +nan.0 (pow (log (* 2 (/ PI n))) 2)) (- (* +nan.0 (log (* 2 (/ PI n)))))))))) (+ (* (- +nan.0) (* -1/2 (+ (* +nan.0 (log (* 2 (/ PI n)))) (- (* +nan.0 (pow (log (* 2 (/ PI n))) 2)))))) (+ (* (- +nan.0) (* +nan.0 (log (* 2 (/ PI n))))) (* (- +nan.0) (- (* +nan.0 (log (* 2 (/ PI n)))))))))) into (- (+ (* +nan.0 (pow (log (* 2 (/ PI n))) 3)) (- (+ (* +nan.0 (pow (log (* 2 (/ PI n))) 2)) (- (* +nan.0 (log (* 2 (/ PI n))))))))) 73.529 * [backup-simplify]: Simplify (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (+ (* (/ (pow (- (* +nan.0 (log (* 2 (/ PI n))))) 3) 6)) (* (/ (pow (- (* +nan.0 (log (* 2 (/ PI n))))) 1) 1) (/ (pow (- (+ (* +nan.0 (log (* 2 (/ PI n)))) (- (* +nan.0 (pow (log (* 2 (/ PI n))) 2))))) 1) 1)) (* (/ (pow (- (+ (* +nan.0 (pow (log (* 2 (/ PI n))) 3)) (- (+ (* +nan.0 (pow (log (* 2 (/ PI n))) 2)) (- (* +nan.0 (log (* 2 (/ PI n))))))))) 1) 1)))) into (* -1 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (+ (* +nan.0 (pow (log (* 2 (/ PI n))) 3)) (- (+ (* +nan.0 (pow (log (* 2 (/ PI n))) 2)) (- (* +nan.0 (log (* 2 (/ PI n)))))))))) 73.531 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (- (* +nan.0 (log (* 2 (/ PI n))))))) (/ (* -1 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (+ (* +nan.0 (pow (log (* 2 (/ PI n))) 3)) (- (+ (* +nan.0 (pow (log (* 2 (/ PI n))) 2)) (- (* +nan.0 (log (* 2 (/ PI n)))))))))) (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))) (* (- (* +nan.0 (/ (log (* 2 (/ PI n))) (exp (- (* +nan.0 (log (* 2 (/ PI n))))))))) (/ (* -1 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (+ (* +nan.0 (log (* 2 (/ PI n)))) (- (* +nan.0 (pow (log (* 2 (/ PI n))) 2)))))) (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))) (* (- (+ (* +nan.0 (/ (pow (log (* 2 (/ PI n))) 2) (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))) (- (* +nan.0 (/ (log (* 2 (/ PI n))) (exp (- (* +nan.0 (log (* 2 (/ PI n))))))))))) (/ (* +nan.0 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (log (* 2 (/ PI n))))) (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))))) into (- (+ (* +nan.0 (/ (log (* 2 (/ PI n))) (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))) (- (+ (* +nan.0 (/ (pow (log (* 2 (/ PI n))) 2) (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))) (- (* +nan.0 (/ (pow (log (* 2 (/ PI n))) 3) (exp (- (* +nan.0 (log (* 2 (/ PI n))))))))))))) 73.532 * [backup-simplify]: Simplify (+ (* (/ 1 (exp (- (* +nan.0 (log (* 2 (/ PI n))))))) +nan.0) (+ (* (- (* +nan.0 (/ (log (* 2 (/ PI n))) (exp (- (* +nan.0 (log (* 2 (/ PI n))))))))) +nan.0) (+ (* (- (+ (* +nan.0 (/ (pow (log (* 2 (/ PI n))) 2) (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))) (- (* +nan.0 (/ (log (* 2 (/ PI n))) (exp (- (* +nan.0 (log (* 2 (/ PI n))))))))))) +nan.0) (* (- (+ (* +nan.0 (/ (log (* 2 (/ PI n))) (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))) (- (+ (* +nan.0 (/ (pow (log (* 2 (/ PI n))) 2) (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))) (- (* +nan.0 (/ (pow (log (* 2 (/ PI n))) 3) (exp (- (* +nan.0 (log (* 2 (/ PI n))))))))))))) 0)))) into (- (+ (* +nan.0 (/ 1 (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))) (- (+ (* +nan.0 (/ (pow (log (* 2 (/ PI n))) 2) (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))) (- (* +nan.0 (/ (log (* 2 (/ PI n))) (exp (- (* +nan.0 (log (* 2 (/ PI n))))))))))))) 73.532 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))) (- (+ (* +nan.0 (/ (pow (log (* 2 (/ PI n))) 2) (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))) (- (* +nan.0 (/ (log (* 2 (/ PI n))) (exp (- (* +nan.0 (log (* 2 (/ PI n))))))))))))) in n 73.532 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))) (- (+ (* +nan.0 (/ (pow (log (* 2 (/ PI n))) 2) (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))) (- (* +nan.0 (/ (log (* 2 (/ PI n))) (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))))))) in n 73.532 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))) in n 73.533 * [taylor]: Taking taylor expansion of +nan.0 in n 73.533 * [backup-simplify]: Simplify +nan.0 into +nan.0 73.533 * [taylor]: Taking taylor expansion of (/ 1 (exp (- (* +nan.0 (log (* 2 (/ PI n))))))) in n 73.533 * [taylor]: Taking taylor expansion of (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) in n 73.533 * [taylor]: Taking taylor expansion of (- (* +nan.0 (log (* 2 (/ PI n))))) in n 73.533 * [taylor]: Taking taylor expansion of (* +nan.0 (log (* 2 (/ PI n)))) in n 73.533 * [taylor]: Taking taylor expansion of +nan.0 in n 73.533 * [backup-simplify]: Simplify +nan.0 into +nan.0 73.533 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 73.533 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 73.533 * [taylor]: Taking taylor expansion of 2 in n 73.533 * [backup-simplify]: Simplify 2 into 2 73.533 * [taylor]: Taking taylor expansion of (/ PI n) in n 73.533 * [taylor]: Taking taylor expansion of PI in n 73.533 * [backup-simplify]: Simplify PI into PI 73.533 * [taylor]: Taking taylor expansion of n in n 73.533 * [backup-simplify]: Simplify 0 into 0 73.533 * [backup-simplify]: Simplify 1 into 1 73.533 * [backup-simplify]: Simplify (/ PI 1) into PI 73.533 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 73.534 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 73.535 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 73.536 * [backup-simplify]: Simplify (* +nan.0 (- (log (* 2 PI)) (log n))) into (* +nan.0 (- (log (* 2 PI)) (log n))) 73.536 * [backup-simplify]: Simplify (- (* +nan.0 (- (log (* 2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 73.537 * [backup-simplify]: Simplify (- (* +nan.0 (- (log (* 2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 73.538 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) 73.540 * [backup-simplify]: Simplify (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) into (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) 73.540 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (pow (log (* 2 (/ PI n))) 2) (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))) (- (* +nan.0 (/ (log (* 2 (/ PI n))) (exp (- (* +nan.0 (log (* 2 (/ PI n))))))))))) in n 73.540 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (pow (log (* 2 (/ PI n))) 2) (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))) (- (* +nan.0 (/ (log (* 2 (/ PI n))) (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))))) in n 73.540 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (log (* 2 (/ PI n))) 2) (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))) in n 73.540 * [taylor]: Taking taylor expansion of +nan.0 in n 73.540 * [backup-simplify]: Simplify +nan.0 into +nan.0 73.540 * [taylor]: Taking taylor expansion of (/ (pow (log (* 2 (/ PI n))) 2) (exp (- (* +nan.0 (log (* 2 (/ PI n))))))) in n 73.540 * [taylor]: Taking taylor expansion of (pow (log (* 2 (/ PI n))) 2) in n 73.540 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 73.540 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 73.540 * [taylor]: Taking taylor expansion of 2 in n 73.540 * [backup-simplify]: Simplify 2 into 2 73.540 * [taylor]: Taking taylor expansion of (/ PI n) in n 73.540 * [taylor]: Taking taylor expansion of PI in n 73.540 * [backup-simplify]: Simplify PI into PI 73.540 * [taylor]: Taking taylor expansion of n in n 73.540 * [backup-simplify]: Simplify 0 into 0 73.540 * [backup-simplify]: Simplify 1 into 1 73.541 * [backup-simplify]: Simplify (/ PI 1) into PI 73.541 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 73.541 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 73.542 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 73.542 * [taylor]: Taking taylor expansion of (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) in n 73.542 * [taylor]: Taking taylor expansion of (- (* +nan.0 (log (* 2 (/ PI n))))) in n 73.542 * [taylor]: Taking taylor expansion of (* +nan.0 (log (* 2 (/ PI n)))) in n 73.542 * [taylor]: Taking taylor expansion of +nan.0 in n 73.542 * [backup-simplify]: Simplify +nan.0 into +nan.0 73.542 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 73.542 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 73.542 * [taylor]: Taking taylor expansion of 2 in n 73.542 * [backup-simplify]: Simplify 2 into 2 73.542 * [taylor]: Taking taylor expansion of (/ PI n) in n 73.542 * [taylor]: Taking taylor expansion of PI in n 73.542 * [backup-simplify]: Simplify PI into PI 73.542 * [taylor]: Taking taylor expansion of n in n 73.542 * [backup-simplify]: Simplify 0 into 0 73.542 * [backup-simplify]: Simplify 1 into 1 73.543 * [backup-simplify]: Simplify (/ PI 1) into PI 73.543 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 73.544 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 73.544 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 73.545 * [backup-simplify]: Simplify (* +nan.0 (- (log (* 2 PI)) (log n))) into (* +nan.0 (- (log (* 2 PI)) (log n))) 73.546 * [backup-simplify]: Simplify (- (* +nan.0 (- (log (* 2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 73.546 * [backup-simplify]: Simplify (- (* +nan.0 (- (log (* 2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 73.548 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) 73.549 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 73.550 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 73.551 * [backup-simplify]: Simplify (* (- (log (* 2 PI)) (log n)) (- (log (* 2 PI)) (log n))) into (pow (- (log (* 2 PI)) (log n)) 2) 73.553 * [backup-simplify]: Simplify (/ (pow (- (log (* 2 PI)) (log n)) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) into (/ (pow (- (log (* 2 PI)) (log n)) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) 73.553 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (log (* 2 (/ PI n))) (exp (- (* +nan.0 (log (* 2 (/ PI n))))))))) in n 73.553 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (log (* 2 (/ PI n))) (exp (- (* +nan.0 (log (* 2 (/ PI n)))))))) in n 73.553 * [taylor]: Taking taylor expansion of +nan.0 in n 73.553 * [backup-simplify]: Simplify +nan.0 into +nan.0 73.553 * [taylor]: Taking taylor expansion of (/ (log (* 2 (/ PI n))) (exp (- (* +nan.0 (log (* 2 (/ PI n))))))) in n 73.553 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 73.553 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 73.553 * [taylor]: Taking taylor expansion of 2 in n 73.553 * [backup-simplify]: Simplify 2 into 2 73.553 * [taylor]: Taking taylor expansion of (/ PI n) in n 73.553 * [taylor]: Taking taylor expansion of PI in n 73.553 * [backup-simplify]: Simplify PI into PI 73.553 * [taylor]: Taking taylor expansion of n in n 73.553 * [backup-simplify]: Simplify 0 into 0 73.553 * [backup-simplify]: Simplify 1 into 1 73.554 * [backup-simplify]: Simplify (/ PI 1) into PI 73.554 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 73.554 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 73.555 * [taylor]: Taking taylor expansion of (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) in n 73.555 * [taylor]: Taking taylor expansion of (- (* +nan.0 (log (* 2 (/ PI n))))) in n 73.555 * [taylor]: Taking taylor expansion of (* +nan.0 (log (* 2 (/ PI n)))) in n 73.555 * [taylor]: Taking taylor expansion of +nan.0 in n 73.555 * [backup-simplify]: Simplify +nan.0 into +nan.0 73.555 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 73.555 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 73.555 * [taylor]: Taking taylor expansion of 2 in n 73.555 * [backup-simplify]: Simplify 2 into 2 73.555 * [taylor]: Taking taylor expansion of (/ PI n) in n 73.555 * [taylor]: Taking taylor expansion of PI in n 73.555 * [backup-simplify]: Simplify PI into PI 73.555 * [taylor]: Taking taylor expansion of n in n 73.555 * [backup-simplify]: Simplify 0 into 0 73.555 * [backup-simplify]: Simplify 1 into 1 73.555 * [backup-simplify]: Simplify (/ PI 1) into PI 73.555 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 73.556 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 73.559 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 73.560 * [backup-simplify]: Simplify (* +nan.0 (- (log (* 2 PI)) (log n))) into (* +nan.0 (- (log (* 2 PI)) (log n))) 73.561 * [backup-simplify]: Simplify (- (* +nan.0 (- (log (* 2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 73.562 * [backup-simplify]: Simplify (- (* +nan.0 (- (log (* 2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 73.565 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) 73.566 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 73.568 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 73.571 * [backup-simplify]: Simplify (/ (- (log (* 2 PI)) (log n)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) into (/ (- (log (* 2 PI)) (log n)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) 73.574 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) into (/ +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) 73.578 * [backup-simplify]: Simplify (* +nan.0 (/ (pow (- (log (* 2 PI)) (log n)) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) into (* +nan.0 (/ (pow (- (log (* 2 PI)) (log n)) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) 73.581 * [backup-simplify]: Simplify (* +nan.0 (/ (- (log (* 2 PI)) (log n)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) into (* +nan.0 (/ (- (log (* 2 PI)) (log n)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) 73.585 * [backup-simplify]: Simplify (- (* +nan.0 (/ (- (log (* 2 PI)) (log n)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))))) into (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (* +nan.0 (/ (log (* 2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))))))) 73.596 * [backup-simplify]: Simplify (+ (* +nan.0 (/ (pow (- (log (* 2 PI)) (log n)) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (* +nan.0 (/ (log (* 2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))))))) into (- (+ (* +nan.0 (/ (pow (log n) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (* (log n) (log (* 2 PI))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (pow (log (* 2 PI)) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (* +nan.0 (/ (log (* 2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))))))))))))) 73.615 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (/ (pow (log n) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (* (log n) (log (* 2 PI))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (pow (log (* 2 PI)) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (* +nan.0 (/ (log (* 2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))))))))))))) into (- (+ (* +nan.0 (/ (pow (log n) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (* (log n) (log (* 2 PI))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (pow (log (* 2 PI)) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (* +nan.0 (/ (log (* 2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))))))))))))) 73.637 * [backup-simplify]: Simplify (+ (/ +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) (- (+ (* +nan.0 (/ (pow (log n) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (* (log n) (log (* 2 PI))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (pow (log (* 2 PI)) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (* +nan.0 (/ (log (* 2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))))))))))))) into (- (+ (* +nan.0 (/ (pow (log n) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (* (log n) (log (* 2 PI))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (pow (log (* 2 PI)) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (* +nan.0 (/ (log (* 2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))))))))))))))) 73.658 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (/ (pow (log n) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (* (log n) (log (* 2 PI))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (pow (log (* 2 PI)) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (* +nan.0 (/ (log (* 2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))))))))))))))) into (- (+ (* +nan.0 (/ (pow (log n) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (pow (log (* 2 PI)) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (* (log n) (log (* 2 PI))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (* +nan.0 (/ (log (* 2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))))))))))))))) 73.679 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (pow (log n) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (pow (log (* 2 PI)) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (* (log n) (log (* 2 PI))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (* +nan.0 (/ (log (* 2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))))))))))))))) into (- (+ (* +nan.0 (/ (pow (log n) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (pow (log (* 2 PI)) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (* (log n) (log (* 2 PI))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) (- (* +nan.0 (/ (log (* 2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))))))))))))))) 73.701 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (/ (pow (log (/ 1 n)) 2) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (pow (log (* 2 PI)) 2) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (* (log (/ 1 n)) (log (* 2 PI))) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (log (/ 1 n)) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))))) (- (* +nan.0 (/ (log (* 2 PI)) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI)))))))))))))))))))) (pow (* 1 (/ 1 k)) 2)) (+ (* (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))))) (- (+ (* +nan.0 (/ (log (/ 1 n)) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))))) (- (* +nan.0 (/ (log (* 2 PI)) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI)))))))))))))) (* 1 (/ 1 k))) (- (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI)))))))))))) into (- (+ (* +nan.0 (/ (log (* 2 PI)) (* (pow k 2) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI)))))))))) (- (+ (* +nan.0 (/ (log (/ 1 n)) (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow k 2)))) (- (+ (* +nan.0 (/ (* (log (/ 1 n)) (log (* 2 PI))) (* (pow k 2) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI)))))))))) (- (+ (* +nan.0 (/ (log (/ 1 n)) (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) k))) (- (+ (* +nan.0 (/ (pow (log (* 2 PI)) 2) (* (pow k 2) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI)))))))))) (- (+ (* +nan.0 (/ 1 (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow k 2)))) (- (+ (* +nan.0 (/ (log (* 2 PI)) (* k (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI)))))))))) (- (+ (* +nan.0 (/ 1 (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) k))) (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))))) (- (* +nan.0 (/ (pow (log (/ 1 n)) 2) (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow k 2))))))))))))))))))))))) 73.702 * [backup-simplify]: Simplify (/ (sqrt (/ 1 (- k))) (pow (pow (* (/ 1 (- n)) (* 2 PI)) (/ (+ 1 (sqrt (/ 1 (- k)))) 1)) (/ (- 1 (sqrt (/ 1 (- k)))) 2))) into (/ (sqrt (/ -1 k)) (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k)))))) 73.702 * [approximate]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k)))))) in (k n) around 0 73.702 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k)))))) in n 73.702 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 73.702 * [taylor]: Taking taylor expansion of (/ -1 k) in n 73.702 * [taylor]: Taking taylor expansion of -1 in n 73.702 * [backup-simplify]: Simplify -1 into -1 73.702 * [taylor]: Taking taylor expansion of k in n 73.702 * [backup-simplify]: Simplify k into k 73.702 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 73.702 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 73.702 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 73.702 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 73.702 * [taylor]: Taking taylor expansion of (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k))))) in n 73.702 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))))) in n 73.702 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)))) in n 73.702 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ -1 k)))) in n 73.702 * [taylor]: Taking taylor expansion of 1/2 in n 73.702 * [backup-simplify]: Simplify 1/2 into 1/2 73.702 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ -1 k))) in n 73.702 * [taylor]: Taking taylor expansion of 1 in n 73.702 * [backup-simplify]: Simplify 1 into 1 73.702 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 73.702 * [taylor]: Taking taylor expansion of (/ -1 k) in n 73.702 * [taylor]: Taking taylor expansion of -1 in n 73.702 * [backup-simplify]: Simplify -1 into -1 73.702 * [taylor]: Taking taylor expansion of k in n 73.702 * [backup-simplify]: Simplify k into k 73.702 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 73.702 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 73.702 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 73.703 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 73.703 * [taylor]: Taking taylor expansion of (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))) in n 73.703 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) in n 73.703 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n))))) in n 73.703 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n)))) in n 73.703 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in n 73.703 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 73.703 * [taylor]: Taking taylor expansion of (/ -1 k) in n 73.703 * [taylor]: Taking taylor expansion of -1 in n 73.703 * [backup-simplify]: Simplify -1 into -1 73.703 * [taylor]: Taking taylor expansion of k in n 73.703 * [backup-simplify]: Simplify k into k 73.703 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 73.703 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 73.703 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 73.703 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 73.703 * [taylor]: Taking taylor expansion of 1 in n 73.703 * [backup-simplify]: Simplify 1 into 1 73.703 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 73.703 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 73.703 * [taylor]: Taking taylor expansion of -2 in n 73.703 * [backup-simplify]: Simplify -2 into -2 73.703 * [taylor]: Taking taylor expansion of (/ PI n) in n 73.703 * [taylor]: Taking taylor expansion of PI in n 73.703 * [backup-simplify]: Simplify PI into PI 73.703 * [taylor]: Taking taylor expansion of n in n 73.703 * [backup-simplify]: Simplify 0 into 0 73.703 * [backup-simplify]: Simplify 1 into 1 73.704 * [backup-simplify]: Simplify (/ PI 1) into PI 73.704 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 73.704 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 73.705 * [backup-simplify]: Simplify (+ (sqrt (/ -1 k)) 1) into (+ (sqrt (/ -1 k)) 1) 73.705 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 73.706 * [backup-simplify]: Simplify (* (+ (sqrt (/ -1 k)) 1) (- (log (* -2 PI)) (log n))) into (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) 73.708 * [backup-simplify]: Simplify (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) into (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) 73.709 * [backup-simplify]: Simplify (log (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)))) into (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) 73.709 * [backup-simplify]: Simplify (- (sqrt (/ -1 k))) into (- (sqrt (/ -1 k))) 73.709 * [backup-simplify]: Simplify (+ 1 (- (sqrt (/ -1 k)))) into (- 1 (sqrt (/ -1 k))) 73.709 * [backup-simplify]: Simplify (* 1/2 (- 1 (sqrt (/ -1 k)))) into (* 1/2 (- 1 (sqrt (/ -1 k)))) 73.710 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) into (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)))) 73.712 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) into (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) 73.713 * [backup-simplify]: Simplify (/ (sqrt (/ -1 k)) (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)))))) into (/ (sqrt (/ -1 k)) (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)))))) 73.713 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k)))))) in k 73.713 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 73.713 * [taylor]: Taking taylor expansion of (/ -1 k) in k 73.713 * [taylor]: Taking taylor expansion of -1 in k 73.713 * [backup-simplify]: Simplify -1 into -1 73.713 * [taylor]: Taking taylor expansion of k in k 73.713 * [backup-simplify]: Simplify 0 into 0 73.713 * [backup-simplify]: Simplify 1 into 1 73.714 * [backup-simplify]: Simplify (/ -1 1) into -1 73.714 * [backup-simplify]: Simplify (sqrt 0) into 0 73.716 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 73.716 * [taylor]: Taking taylor expansion of (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k))))) in k 73.716 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))))) in k 73.716 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)))) in k 73.716 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ -1 k)))) in k 73.716 * [taylor]: Taking taylor expansion of 1/2 in k 73.716 * [backup-simplify]: Simplify 1/2 into 1/2 73.716 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ -1 k))) in k 73.716 * [taylor]: Taking taylor expansion of 1 in k 73.716 * [backup-simplify]: Simplify 1 into 1 73.716 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 73.716 * [taylor]: Taking taylor expansion of (/ -1 k) in k 73.716 * [taylor]: Taking taylor expansion of -1 in k 73.716 * [backup-simplify]: Simplify -1 into -1 73.716 * [taylor]: Taking taylor expansion of k in k 73.716 * [backup-simplify]: Simplify 0 into 0 73.716 * [backup-simplify]: Simplify 1 into 1 73.716 * [backup-simplify]: Simplify (/ -1 1) into -1 73.717 * [backup-simplify]: Simplify (sqrt 0) into 0 73.718 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 73.718 * [taylor]: Taking taylor expansion of (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))) in k 73.718 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) in k 73.718 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n))))) in k 73.718 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n)))) in k 73.718 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in k 73.718 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 73.718 * [taylor]: Taking taylor expansion of (/ -1 k) in k 73.718 * [taylor]: Taking taylor expansion of -1 in k 73.718 * [backup-simplify]: Simplify -1 into -1 73.719 * [taylor]: Taking taylor expansion of k in k 73.719 * [backup-simplify]: Simplify 0 into 0 73.719 * [backup-simplify]: Simplify 1 into 1 73.719 * [backup-simplify]: Simplify (/ -1 1) into -1 73.719 * [backup-simplify]: Simplify (sqrt 0) into 0 73.721 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 73.721 * [taylor]: Taking taylor expansion of 1 in k 73.721 * [backup-simplify]: Simplify 1 into 1 73.721 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 73.721 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 73.721 * [taylor]: Taking taylor expansion of -2 in k 73.721 * [backup-simplify]: Simplify -2 into -2 73.721 * [taylor]: Taking taylor expansion of (/ PI n) in k 73.721 * [taylor]: Taking taylor expansion of PI in k 73.721 * [backup-simplify]: Simplify PI into PI 73.721 * [taylor]: Taking taylor expansion of n in k 73.721 * [backup-simplify]: Simplify n into n 73.721 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 73.721 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 73.721 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 73.722 * [backup-simplify]: Simplify (+ 0 0) into 0 73.722 * [backup-simplify]: Simplify (* 0 (log (* -2 (/ PI n)))) into 0 73.722 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 73.722 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (/ PI n))) into 0 73.723 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 (/ PI n)) 1)))) 1) into 0 73.723 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 73.723 * [backup-simplify]: Simplify (+ (* 0 0) (* (- +nan.0) (log (* -2 (/ PI n))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 73.724 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) 73.724 * [backup-simplify]: Simplify (log (exp (- (* +nan.0 (log (* -2 (/ PI n))))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 73.724 * [backup-simplify]: Simplify (- 0) into 0 73.724 * [backup-simplify]: Simplify (+ 0 0) into 0 73.724 * [backup-simplify]: Simplify (* 1/2 0) into 0 73.724 * [backup-simplify]: Simplify (* 0 (- (* +nan.0 (log (* -2 (/ PI n)))))) into 0 73.725 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 73.725 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (/ PI n)))) into 0 73.726 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 (/ PI n)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 (/ PI n)) 1)))) 2) into 0 73.727 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 73.728 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 73.729 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 73.729 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (log (* -2 (/ PI n)))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 73.730 * [backup-simplify]: Simplify (* (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) (+ (* (/ (pow (- (* +nan.0 (log (* -2 (/ PI n))))) 1) 1)))) into (* +nan.0 (* (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) 73.730 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* +nan.0 (* (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n))))))))) 1)) (pow (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) 1)))) 1) into (* +nan.0 (log (* -2 (/ PI n)))) 73.730 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 73.731 * [backup-simplify]: Simplify (+ 1 (- +nan.0)) into (- +nan.0) 73.732 * [backup-simplify]: Simplify (+ (* 1/2 (- +nan.0)) (* 0 0)) into (- +nan.0) 73.732 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (log (* -2 (/ PI n))))) (* (- +nan.0) (- (* +nan.0 (log (* -2 (/ PI n))))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 73.732 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) 73.733 * [backup-simplify]: Simplify (/ +nan.0 (exp (- (* +nan.0 (log (* -2 (/ PI n))))))) into (/ +nan.0 (exp (- (* +nan.0 (log (* -2 (/ PI n))))))) 73.733 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k)))))) in k 73.733 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 73.733 * [taylor]: Taking taylor expansion of (/ -1 k) in k 73.733 * [taylor]: Taking taylor expansion of -1 in k 73.733 * [backup-simplify]: Simplify -1 into -1 73.733 * [taylor]: Taking taylor expansion of k in k 73.733 * [backup-simplify]: Simplify 0 into 0 73.733 * [backup-simplify]: Simplify 1 into 1 73.733 * [backup-simplify]: Simplify (/ -1 1) into -1 73.733 * [backup-simplify]: Simplify (sqrt 0) into 0 73.734 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 73.734 * [taylor]: Taking taylor expansion of (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k))))) in k 73.734 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))))) in k 73.734 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)))) in k 73.734 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ -1 k)))) in k 73.734 * [taylor]: Taking taylor expansion of 1/2 in k 73.734 * [backup-simplify]: Simplify 1/2 into 1/2 73.734 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ -1 k))) in k 73.734 * [taylor]: Taking taylor expansion of 1 in k 73.734 * [backup-simplify]: Simplify 1 into 1 73.734 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 73.734 * [taylor]: Taking taylor expansion of (/ -1 k) in k 73.734 * [taylor]: Taking taylor expansion of -1 in k 73.734 * [backup-simplify]: Simplify -1 into -1 73.734 * [taylor]: Taking taylor expansion of k in k 73.734 * [backup-simplify]: Simplify 0 into 0 73.734 * [backup-simplify]: Simplify 1 into 1 73.734 * [backup-simplify]: Simplify (/ -1 1) into -1 73.735 * [backup-simplify]: Simplify (sqrt 0) into 0 73.736 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 73.736 * [taylor]: Taking taylor expansion of (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))) in k 73.736 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) in k 73.736 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n))))) in k 73.736 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n)))) in k 73.736 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in k 73.736 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 73.736 * [taylor]: Taking taylor expansion of (/ -1 k) in k 73.736 * [taylor]: Taking taylor expansion of -1 in k 73.736 * [backup-simplify]: Simplify -1 into -1 73.736 * [taylor]: Taking taylor expansion of k in k 73.736 * [backup-simplify]: Simplify 0 into 0 73.736 * [backup-simplify]: Simplify 1 into 1 73.736 * [backup-simplify]: Simplify (/ -1 1) into -1 73.736 * [backup-simplify]: Simplify (sqrt 0) into 0 73.737 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 73.737 * [taylor]: Taking taylor expansion of 1 in k 73.737 * [backup-simplify]: Simplify 1 into 1 73.737 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 73.737 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 73.737 * [taylor]: Taking taylor expansion of -2 in k 73.737 * [backup-simplify]: Simplify -2 into -2 73.737 * [taylor]: Taking taylor expansion of (/ PI n) in k 73.737 * [taylor]: Taking taylor expansion of PI in k 73.737 * [backup-simplify]: Simplify PI into PI 73.737 * [taylor]: Taking taylor expansion of n in k 73.737 * [backup-simplify]: Simplify n into n 73.737 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 73.737 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 73.737 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 73.738 * [backup-simplify]: Simplify (+ 0 0) into 0 73.738 * [backup-simplify]: Simplify (* 0 (log (* -2 (/ PI n)))) into 0 73.738 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 73.738 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (/ PI n))) into 0 73.738 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 (/ PI n)) 1)))) 1) into 0 73.739 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 73.739 * [backup-simplify]: Simplify (+ (* 0 0) (* (- +nan.0) (log (* -2 (/ PI n))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 73.739 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) 73.739 * [backup-simplify]: Simplify (log (exp (- (* +nan.0 (log (* -2 (/ PI n))))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 73.740 * [backup-simplify]: Simplify (- 0) into 0 73.740 * [backup-simplify]: Simplify (+ 0 0) into 0 73.740 * [backup-simplify]: Simplify (* 1/2 0) into 0 73.740 * [backup-simplify]: Simplify (* 0 (- (* +nan.0 (log (* -2 (/ PI n)))))) into 0 73.740 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 73.741 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (/ PI n)))) into 0 73.742 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 (/ PI n)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 (/ PI n)) 1)))) 2) into 0 73.742 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 73.744 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 73.744 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 73.745 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (log (* -2 (/ PI n)))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 73.745 * [backup-simplify]: Simplify (* (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) (+ (* (/ (pow (- (* +nan.0 (log (* -2 (/ PI n))))) 1) 1)))) into (* +nan.0 (* (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) 73.746 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* +nan.0 (* (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n))))))))) 1)) (pow (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) 1)))) 1) into (* +nan.0 (log (* -2 (/ PI n)))) 73.746 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 73.747 * [backup-simplify]: Simplify (+ 1 (- +nan.0)) into (- +nan.0) 73.748 * [backup-simplify]: Simplify (+ (* 1/2 (- +nan.0)) (* 0 0)) into (- +nan.0) 73.748 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (log (* -2 (/ PI n))))) (* (- +nan.0) (- (* +nan.0 (log (* -2 (/ PI n))))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 73.748 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) 73.748 * [backup-simplify]: Simplify (/ +nan.0 (exp (- (* +nan.0 (log (* -2 (/ PI n))))))) into (/ +nan.0 (exp (- (* +nan.0 (log (* -2 (/ PI n))))))) 73.748 * [taylor]: Taking taylor expansion of (/ +nan.0 (exp (- (* +nan.0 (log (* -2 (/ PI n))))))) in n 73.748 * [taylor]: Taking taylor expansion of +nan.0 in n 73.748 * [backup-simplify]: Simplify +nan.0 into +nan.0 73.748 * [taylor]: Taking taylor expansion of (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) in n 73.748 * [taylor]: Taking taylor expansion of (- (* +nan.0 (log (* -2 (/ PI n))))) in n 73.748 * [taylor]: Taking taylor expansion of (* +nan.0 (log (* -2 (/ PI n)))) in n 73.748 * [taylor]: Taking taylor expansion of +nan.0 in n 73.748 * [backup-simplify]: Simplify +nan.0 into +nan.0 73.748 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 73.748 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 73.748 * [taylor]: Taking taylor expansion of -2 in n 73.749 * [backup-simplify]: Simplify -2 into -2 73.749 * [taylor]: Taking taylor expansion of (/ PI n) in n 73.749 * [taylor]: Taking taylor expansion of PI in n 73.749 * [backup-simplify]: Simplify PI into PI 73.749 * [taylor]: Taking taylor expansion of n in n 73.749 * [backup-simplify]: Simplify 0 into 0 73.749 * [backup-simplify]: Simplify 1 into 1 73.749 * [backup-simplify]: Simplify (/ PI 1) into PI 73.749 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 73.750 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 73.751 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 73.751 * [backup-simplify]: Simplify (* +nan.0 (- (log (* -2 PI)) (log n))) into (* +nan.0 (- (log (* -2 PI)) (log n))) 73.752 * [backup-simplify]: Simplify (- (* +nan.0 (- (log (* -2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 73.753 * [backup-simplify]: Simplify (- (* +nan.0 (- (log (* -2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 73.754 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) 73.756 * [backup-simplify]: Simplify (/ +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))) into (/ +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))) 73.758 * [backup-simplify]: Simplify (/ +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))) into (/ +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))) 73.758 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 73.760 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 73.760 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 73.761 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ PI n))))) into 0 73.763 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 (/ PI n)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 (/ PI n)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 (/ PI n)) 1)))) 6) into 0 73.763 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 73.765 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 73.766 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 73.767 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (log (* -2 (/ PI n))))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 73.767 * [backup-simplify]: Simplify (* (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) (+ (* (/ (pow (- (* +nan.0 (log (* -2 (/ PI n))))) 2) 2)) (* (/ (pow (- (* +nan.0 (log (* -2 (/ PI n))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (log (* -2 (/ PI n)))) (- (* +nan.0 (pow (log (* -2 (/ PI n))) 2)))) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) 73.768 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* +nan.0 (* (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n))))))))) 2)) (pow (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) 2))) (* 1 (/ (* 1 (pow (* 2 (* -1 (* (+ (* +nan.0 (log (* -2 (/ PI n)))) (- (* +nan.0 (pow (log (* -2 (/ PI n))) 2)))) (exp (- (* +nan.0 (log (* -2 (/ PI n))))))))) 1)) (pow (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) 1)))) 2) into (* -1/2 (+ (* +nan.0 (log (* -2 (/ PI n)))) (- (* +nan.0 (pow (log (* -2 (/ PI n))) 2))))) 73.769 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 73.771 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 73.771 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 73.771 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 73.776 * [backup-simplify]: Simplify (+ (* 1/2 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0))) into (- +nan.0) 73.777 * [backup-simplify]: Simplify (+ (* 0 (* -1/2 (+ (* +nan.0 (log (* -2 (/ PI n)))) (- (* +nan.0 (pow (log (* -2 (/ PI n))) 2)))))) (+ (* (- +nan.0) (* +nan.0 (log (* -2 (/ PI n))))) (* (- +nan.0) (- (* +nan.0 (log (* -2 (/ PI n)))))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 73.778 * [backup-simplify]: Simplify (* (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) (+ (* (/ (pow (- (* +nan.0 (log (* -2 (/ PI n))))) 1) 1)))) into (* +nan.0 (* (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) 73.778 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (- (* +nan.0 (log (* -2 (/ PI n))))))) (+ (* (/ +nan.0 (exp (- (* +nan.0 (log (* -2 (/ PI n))))))) (/ (* +nan.0 (* (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))))) into (- (+ (* +nan.0 (/ (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) (- (* +nan.0 (/ 1 (exp (- (* +nan.0 (log (* -2 (/ PI n))))))))))) 73.778 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) (- (* +nan.0 (/ 1 (exp (- (* +nan.0 (log (* -2 (/ PI n))))))))))) in n 73.778 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) (- (* +nan.0 (/ 1 (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))))) in n 73.779 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) in n 73.779 * [taylor]: Taking taylor expansion of +nan.0 in n 73.779 * [backup-simplify]: Simplify +nan.0 into +nan.0 73.779 * [taylor]: Taking taylor expansion of (/ (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n))))))) in n 73.779 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 73.779 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 73.779 * [taylor]: Taking taylor expansion of -2 in n 73.779 * [backup-simplify]: Simplify -2 into -2 73.779 * [taylor]: Taking taylor expansion of (/ PI n) in n 73.779 * [taylor]: Taking taylor expansion of PI in n 73.779 * [backup-simplify]: Simplify PI into PI 73.779 * [taylor]: Taking taylor expansion of n in n 73.779 * [backup-simplify]: Simplify 0 into 0 73.779 * [backup-simplify]: Simplify 1 into 1 73.779 * [backup-simplify]: Simplify (/ PI 1) into PI 73.780 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 73.781 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 73.781 * [taylor]: Taking taylor expansion of (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) in n 73.781 * [taylor]: Taking taylor expansion of (- (* +nan.0 (log (* -2 (/ PI n))))) in n 73.781 * [taylor]: Taking taylor expansion of (* +nan.0 (log (* -2 (/ PI n)))) in n 73.781 * [taylor]: Taking taylor expansion of +nan.0 in n 73.781 * [backup-simplify]: Simplify +nan.0 into +nan.0 73.781 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 73.781 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 73.781 * [taylor]: Taking taylor expansion of -2 in n 73.781 * [backup-simplify]: Simplify -2 into -2 73.781 * [taylor]: Taking taylor expansion of (/ PI n) in n 73.781 * [taylor]: Taking taylor expansion of PI in n 73.781 * [backup-simplify]: Simplify PI into PI 73.781 * [taylor]: Taking taylor expansion of n in n 73.781 * [backup-simplify]: Simplify 0 into 0 73.781 * [backup-simplify]: Simplify 1 into 1 73.782 * [backup-simplify]: Simplify (/ PI 1) into PI 73.782 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 73.783 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 73.784 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 73.785 * [backup-simplify]: Simplify (* +nan.0 (- (log (* -2 PI)) (log n))) into (* +nan.0 (- (log (* -2 PI)) (log n))) 73.786 * [backup-simplify]: Simplify (- (* +nan.0 (- (log (* -2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 73.787 * [backup-simplify]: Simplify (- (* +nan.0 (- (log (* -2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 73.790 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) 73.792 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 73.793 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 73.796 * [backup-simplify]: Simplify (/ (- (log (* -2 PI)) (log n)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))) into (/ (- (log (* -2 PI)) (log n)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))) 73.796 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (- (* +nan.0 (log (* -2 (/ PI n))))))))) in n 73.796 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) in n 73.797 * [taylor]: Taking taylor expansion of +nan.0 in n 73.797 * [backup-simplify]: Simplify +nan.0 into +nan.0 73.797 * [taylor]: Taking taylor expansion of (/ 1 (exp (- (* +nan.0 (log (* -2 (/ PI n))))))) in n 73.797 * [taylor]: Taking taylor expansion of (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) in n 73.797 * [taylor]: Taking taylor expansion of (- (* +nan.0 (log (* -2 (/ PI n))))) in n 73.797 * [taylor]: Taking taylor expansion of (* +nan.0 (log (* -2 (/ PI n)))) in n 73.797 * [taylor]: Taking taylor expansion of +nan.0 in n 73.797 * [backup-simplify]: Simplify +nan.0 into +nan.0 73.797 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 73.797 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 73.797 * [taylor]: Taking taylor expansion of -2 in n 73.797 * [backup-simplify]: Simplify -2 into -2 73.797 * [taylor]: Taking taylor expansion of (/ PI n) in n 73.797 * [taylor]: Taking taylor expansion of PI in n 73.797 * [backup-simplify]: Simplify PI into PI 73.797 * [taylor]: Taking taylor expansion of n in n 73.797 * [backup-simplify]: Simplify 0 into 0 73.797 * [backup-simplify]: Simplify 1 into 1 73.797 * [backup-simplify]: Simplify (/ PI 1) into PI 73.798 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 73.799 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 73.800 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 73.801 * [backup-simplify]: Simplify (* +nan.0 (- (log (* -2 PI)) (log n))) into (* +nan.0 (- (log (* -2 PI)) (log n))) 73.802 * [backup-simplify]: Simplify (- (* +nan.0 (- (log (* -2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 73.803 * [backup-simplify]: Simplify (- (* +nan.0 (- (log (* -2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 73.806 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) 73.808 * [backup-simplify]: Simplify (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))) into (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))) 73.812 * [backup-simplify]: Simplify (* +nan.0 (/ (- (log (* -2 PI)) (log n)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) into (* +nan.0 (/ (- (log (* -2 PI)) (log n)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) 73.815 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) into (/ +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))) 73.817 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) into (- (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))))) 73.824 * [backup-simplify]: Simplify (+ (* +nan.0 (/ (- (log (* -2 PI)) (log n)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))))) into (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (* +nan.0 (/ (log (* -2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))))))))) 73.834 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (* +nan.0 (/ (log (* -2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))))))))) into (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (* +nan.0 (/ (log (* -2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))))))))) 73.843 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (* +nan.0 (/ (log (* -2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))))))))) into (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (* +nan.0 (/ (log (* -2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))))))))) 73.844 * [backup-simplify]: Simplify (- (* +nan.0 (- (log (* -2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 73.845 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 73.846 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 73.848 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 73.849 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 73.851 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 73.851 * [backup-simplify]: Simplify (- 0) into 0 73.854 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (/ (pow 0 1) 1)))) into 0 73.862 * [backup-simplify]: Simplify (- (/ 0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))) (+ (* (/ +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))) (/ 0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))))) into 0 73.862 * [backup-simplify]: Simplify 0 into 0 73.863 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 73.868 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 73.868 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 73.869 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ PI n)))))) into 0 73.874 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* -2 (/ PI n)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* -2 (/ PI n)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* -2 (/ PI n)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* -2 (/ PI n)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* -2 (/ PI n)) 1)))) 24) into 0 73.875 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 73.880 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 73.881 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 73.883 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (log (* -2 (/ PI n)))))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 73.884 * [backup-simplify]: Simplify (* (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) (+ (* (/ (pow (- (* +nan.0 (log (* -2 (/ PI n))))) 3) 6)) (* (/ (pow (- (* +nan.0 (log (* -2 (/ PI n))))) 1) 1) (/ (pow (- (* +nan.0 (log (* -2 (/ PI n))))) 1) 1)) (* (/ (pow (- (* +nan.0 (log (* -2 (/ PI n))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (log (* -2 (/ PI n)))) (- (+ (* +nan.0 (pow (log (* -2 (/ PI n))) 3)) (- (* +nan.0 (pow (log (* -2 (/ PI n))) 2)))))) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) 73.888 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* +nan.0 (* (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n))))))))) 3)) (pow (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) 3))) (* -3 (/ (* (pow (* 1 (* +nan.0 (* (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n))))))))) 1) (pow (* 2 (* -1 (* (+ (* +nan.0 (log (* -2 (/ PI n)))) (- (* +nan.0 (pow (log (* -2 (/ PI n))) 2)))) (exp (- (* +nan.0 (log (* -2 (/ PI n))))))))) 1)) (pow (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* -1 (* (+ (* +nan.0 (log (* -2 (/ PI n)))) (- (+ (* +nan.0 (pow (log (* -2 (/ PI n))) 3)) (- (* +nan.0 (pow (log (* -2 (/ PI n))) 2)))))) (exp (- (* +nan.0 (log (* -2 (/ PI n))))))))) 1)) (pow (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) 1)))) 6) into (* -1/6 (+ (* +nan.0 (log (* -2 (/ PI n)))) (- (+ (* +nan.0 (pow (log (* -2 (/ PI n))) 3)) (- (* +nan.0 (pow (log (* -2 (/ PI n))) 2))))))) 73.889 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 73.893 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 73.894 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 73.895 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 73.898 * [backup-simplify]: Simplify (+ (* 1/2 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0)))) into (- +nan.0) 73.900 * [backup-simplify]: Simplify (+ (* 0 (* -1/6 (+ (* +nan.0 (log (* -2 (/ PI n)))) (- (+ (* +nan.0 (pow (log (* -2 (/ PI n))) 3)) (- (* +nan.0 (pow (log (* -2 (/ PI n))) 2)))))))) (+ (* (- +nan.0) (* -1/2 (+ (* +nan.0 (log (* -2 (/ PI n)))) (- (* +nan.0 (pow (log (* -2 (/ PI n))) 2)))))) (+ (* (- +nan.0) (* +nan.0 (log (* -2 (/ PI n))))) (* (- +nan.0) (- (* +nan.0 (log (* -2 (/ PI n))))))))) into (- (+ (* +nan.0 (log (* -2 (/ PI n)))) (- (* +nan.0 (pow (log (* -2 (/ PI n))) 2))))) 73.901 * [backup-simplify]: Simplify (* (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) (+ (* (/ (pow (- (* +nan.0 (log (* -2 (/ PI n))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (log (* -2 (/ PI n)))) (- (* +nan.0 (pow (log (* -2 (/ PI n))) 2))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (log (* -2 (/ PI n)))) (- (* +nan.0 (pow (log (* -2 (/ PI n))) 2)))) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) 73.903 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (- (* +nan.0 (log (* -2 (/ PI n))))))) (+ (* (/ +nan.0 (exp (- (* +nan.0 (log (* -2 (/ PI n))))))) (/ (* -1 (* (+ (* +nan.0 (log (* -2 (/ PI n)))) (- (* +nan.0 (pow (log (* -2 (/ PI n))) 2)))) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) (* (- (+ (* +nan.0 (/ (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) (- (* +nan.0 (/ 1 (exp (- (* +nan.0 (log (* -2 (/ PI n))))))))))) (/ (* +nan.0 (* (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))))) into (- (+ (* +nan.0 (/ (pow (log (* -2 (/ PI n))) 2) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) (- (+ (* +nan.0 (/ (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) (- (* +nan.0 (/ 1 (exp (- (* +nan.0 (log (* -2 (/ PI n))))))))))))) 73.903 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (pow (log (* -2 (/ PI n))) 2) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) (- (+ (* +nan.0 (/ (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) (- (* +nan.0 (/ 1 (exp (- (* +nan.0 (log (* -2 (/ PI n))))))))))))) in n 73.903 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (pow (log (* -2 (/ PI n))) 2) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) (- (+ (* +nan.0 (/ (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) (- (* +nan.0 (/ 1 (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))))))) in n 73.904 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (log (* -2 (/ PI n))) 2) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) in n 73.904 * [taylor]: Taking taylor expansion of +nan.0 in n 73.904 * [backup-simplify]: Simplify +nan.0 into +nan.0 73.904 * [taylor]: Taking taylor expansion of (/ (pow (log (* -2 (/ PI n))) 2) (exp (- (* +nan.0 (log (* -2 (/ PI n))))))) in n 73.904 * [taylor]: Taking taylor expansion of (pow (log (* -2 (/ PI n))) 2) in n 73.904 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 73.904 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 73.904 * [taylor]: Taking taylor expansion of -2 in n 73.904 * [backup-simplify]: Simplify -2 into -2 73.904 * [taylor]: Taking taylor expansion of (/ PI n) in n 73.904 * [taylor]: Taking taylor expansion of PI in n 73.904 * [backup-simplify]: Simplify PI into PI 73.904 * [taylor]: Taking taylor expansion of n in n 73.904 * [backup-simplify]: Simplify 0 into 0 73.904 * [backup-simplify]: Simplify 1 into 1 73.904 * [backup-simplify]: Simplify (/ PI 1) into PI 73.905 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 73.909 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 73.911 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 73.911 * [taylor]: Taking taylor expansion of (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) in n 73.911 * [taylor]: Taking taylor expansion of (- (* +nan.0 (log (* -2 (/ PI n))))) in n 73.911 * [taylor]: Taking taylor expansion of (* +nan.0 (log (* -2 (/ PI n)))) in n 73.911 * [taylor]: Taking taylor expansion of +nan.0 in n 73.911 * [backup-simplify]: Simplify +nan.0 into +nan.0 73.911 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 73.911 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 73.911 * [taylor]: Taking taylor expansion of -2 in n 73.911 * [backup-simplify]: Simplify -2 into -2 73.911 * [taylor]: Taking taylor expansion of (/ PI n) in n 73.911 * [taylor]: Taking taylor expansion of PI in n 73.911 * [backup-simplify]: Simplify PI into PI 73.911 * [taylor]: Taking taylor expansion of n in n 73.911 * [backup-simplify]: Simplify 0 into 0 73.911 * [backup-simplify]: Simplify 1 into 1 73.912 * [backup-simplify]: Simplify (/ PI 1) into PI 73.912 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 73.913 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 73.915 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 73.916 * [backup-simplify]: Simplify (* +nan.0 (- (log (* -2 PI)) (log n))) into (* +nan.0 (- (log (* -2 PI)) (log n))) 73.917 * [backup-simplify]: Simplify (- (* +nan.0 (- (log (* -2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 73.918 * [backup-simplify]: Simplify (- (* +nan.0 (- (log (* -2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 73.920 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) 73.922 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 73.923 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 73.925 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (- (log (* -2 PI)) (log n))) into (pow (- (log (* -2 PI)) (log n)) 2) 73.929 * [backup-simplify]: Simplify (/ (pow (- (log (* -2 PI)) (log n)) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))) into (/ (pow (- (log (* -2 PI)) (log n)) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))) 73.929 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) (- (* +nan.0 (/ 1 (exp (- (* +nan.0 (log (* -2 (/ PI n))))))))))) in n 73.929 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) (- (* +nan.0 (/ 1 (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))))) in n 73.929 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) in n 73.929 * [taylor]: Taking taylor expansion of +nan.0 in n 73.929 * [backup-simplify]: Simplify +nan.0 into +nan.0 73.929 * [taylor]: Taking taylor expansion of (/ (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n))))))) in n 73.929 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 73.929 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 73.929 * [taylor]: Taking taylor expansion of -2 in n 73.929 * [backup-simplify]: Simplify -2 into -2 73.929 * [taylor]: Taking taylor expansion of (/ PI n) in n 73.929 * [taylor]: Taking taylor expansion of PI in n 73.929 * [backup-simplify]: Simplify PI into PI 73.929 * [taylor]: Taking taylor expansion of n in n 73.930 * [backup-simplify]: Simplify 0 into 0 73.930 * [backup-simplify]: Simplify 1 into 1 73.930 * [backup-simplify]: Simplify (/ PI 1) into PI 73.930 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 73.932 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 73.932 * [taylor]: Taking taylor expansion of (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) in n 73.932 * [taylor]: Taking taylor expansion of (- (* +nan.0 (log (* -2 (/ PI n))))) in n 73.932 * [taylor]: Taking taylor expansion of (* +nan.0 (log (* -2 (/ PI n)))) in n 73.932 * [taylor]: Taking taylor expansion of +nan.0 in n 73.932 * [backup-simplify]: Simplify +nan.0 into +nan.0 73.932 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 73.932 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 73.932 * [taylor]: Taking taylor expansion of -2 in n 73.932 * [backup-simplify]: Simplify -2 into -2 73.932 * [taylor]: Taking taylor expansion of (/ PI n) in n 73.932 * [taylor]: Taking taylor expansion of PI in n 73.932 * [backup-simplify]: Simplify PI into PI 73.932 * [taylor]: Taking taylor expansion of n in n 73.932 * [backup-simplify]: Simplify 0 into 0 73.932 * [backup-simplify]: Simplify 1 into 1 73.933 * [backup-simplify]: Simplify (/ PI 1) into PI 73.933 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 73.934 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 73.935 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 73.936 * [backup-simplify]: Simplify (* +nan.0 (- (log (* -2 PI)) (log n))) into (* +nan.0 (- (log (* -2 PI)) (log n))) 73.937 * [backup-simplify]: Simplify (- (* +nan.0 (- (log (* -2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 73.938 * [backup-simplify]: Simplify (- (* +nan.0 (- (log (* -2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 73.941 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) 73.942 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 73.944 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 73.947 * [backup-simplify]: Simplify (/ (- (log (* -2 PI)) (log n)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))) into (/ (- (log (* -2 PI)) (log n)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))) 73.947 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (- (* +nan.0 (log (* -2 (/ PI n))))))))) in n 73.947 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) in n 73.947 * [taylor]: Taking taylor expansion of +nan.0 in n 73.947 * [backup-simplify]: Simplify +nan.0 into +nan.0 73.947 * [taylor]: Taking taylor expansion of (/ 1 (exp (- (* +nan.0 (log (* -2 (/ PI n))))))) in n 73.947 * [taylor]: Taking taylor expansion of (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) in n 73.947 * [taylor]: Taking taylor expansion of (- (* +nan.0 (log (* -2 (/ PI n))))) in n 73.948 * [taylor]: Taking taylor expansion of (* +nan.0 (log (* -2 (/ PI n)))) in n 73.948 * [taylor]: Taking taylor expansion of +nan.0 in n 73.948 * [backup-simplify]: Simplify +nan.0 into +nan.0 73.948 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 73.948 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 73.948 * [taylor]: Taking taylor expansion of -2 in n 73.948 * [backup-simplify]: Simplify -2 into -2 73.948 * [taylor]: Taking taylor expansion of (/ PI n) in n 73.948 * [taylor]: Taking taylor expansion of PI in n 73.948 * [backup-simplify]: Simplify PI into PI 73.948 * [taylor]: Taking taylor expansion of n in n 73.948 * [backup-simplify]: Simplify 0 into 0 73.948 * [backup-simplify]: Simplify 1 into 1 73.948 * [backup-simplify]: Simplify (/ PI 1) into PI 73.949 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 73.950 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 73.951 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 73.952 * [backup-simplify]: Simplify (* +nan.0 (- (log (* -2 PI)) (log n))) into (* +nan.0 (- (log (* -2 PI)) (log n))) 73.953 * [backup-simplify]: Simplify (- (* +nan.0 (- (log (* -2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 73.954 * [backup-simplify]: Simplify (- (* +nan.0 (- (log (* -2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 73.957 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) 73.959 * [backup-simplify]: Simplify (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))) into (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))) 73.963 * [backup-simplify]: Simplify (* +nan.0 (/ (pow (- (log (* -2 PI)) (log n)) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) into (* +nan.0 (/ (pow (- (log (* -2 PI)) (log n)) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) 73.967 * [backup-simplify]: Simplify (* +nan.0 (/ (- (log (* -2 PI)) (log n)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) into (* +nan.0 (/ (- (log (* -2 PI)) (log n)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) 73.970 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) into (/ +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))) 73.973 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) into (- (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))))) 73.979 * [backup-simplify]: Simplify (+ (* +nan.0 (/ (- (log (* -2 PI)) (log n)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))))) into (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (* +nan.0 (/ (log (* -2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))))))))) 73.988 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (* +nan.0 (/ (log (* -2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))))))))) into (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (* +nan.0 (/ (log (* -2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))))))))) 74.002 * [backup-simplify]: Simplify (+ (* +nan.0 (/ (pow (- (log (* -2 PI)) (log n)) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (* +nan.0 (/ (log (* -2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))))))))) into (- (+ (* +nan.0 (/ (pow (log n) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ (* (log n) (log (* -2 PI))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ (log (* -2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (* +nan.0 (/ (pow (log (* -2 PI)) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))))))))))))))) 74.024 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (/ (pow (log n) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ (* (log n) (log (* -2 PI))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ (log (* -2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (* +nan.0 (/ (pow (log (* -2 PI)) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))))))))))))))) into (- (+ (* +nan.0 (/ (pow (log n) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ (* (log n) (log (* -2 PI))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ (pow (log (* -2 PI)) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (* +nan.0 (/ (log (* -2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))))))))))))))) 74.050 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (pow (log n) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ (* (log n) (log (* -2 PI))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ (pow (log (* -2 PI)) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (* +nan.0 (/ (log (* -2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))))))))))))))) into (- (+ (* +nan.0 (/ (pow (log n) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ (log n) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ (* (log n) (log (* -2 PI))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ (pow (log (* -2 PI)) 2) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))) (- (* +nan.0 (/ (log (* -2 PI)) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))))))))))))))) 74.086 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (/ (pow (log (/ 1 (- n))) 2) (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ (log (/ 1 (- n))) (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ (* (log (/ 1 (- n))) (log (* -2 PI))) (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ (pow (log (* -2 PI)) 2) (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))))) (- (* +nan.0 (/ (log (* -2 PI)) (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI)))))))))))))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (+ (* +nan.0 (/ (log (/ 1 (- n))) (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))))) (- (* +nan.0 (/ (log (* -2 PI)) (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI)))))))))))))) (* 1 (/ 1 (- k)))) (/ +nan.0 (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI)))))))))) into (- (+ (* +nan.0 (/ (log (* -2 PI)) (* (pow k 2) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))))) (- (+ (* +nan.0 (/ (log (/ -1 n)) (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (pow k 2)))) (- (+ (* +nan.0 (/ (pow (log (* -2 PI)) 2) (* (pow k 2) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))))) (- (+ (* +nan.0 (/ (log (* -2 PI)) (* k (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))))) (- (+ (* +nan.0 (/ 1 (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) k))) (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (log (* -2 PI))) (* (pow k 2) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))))) (- (+ (* +nan.0 (/ (pow (log (/ -1 n)) 2) (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (pow k 2)))) (- (* +nan.0 (/ (log (/ -1 n)) (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) k)))))))))))))))))))))) 74.086 * * * [progress]: simplifying candidates 74.086 * * * * [progress]: [ 1 / 209 ] simplifiying candidate # 74.087 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (+ 1 (sqrt k)) 1)) 74.087 * * [simplify]: iters left: 6 (14 enodes) 74.094 * * [simplify]: iters left: 5 (50 enodes) 74.110 * * [simplify]: iters left: 4 (84 enodes) 74.147 * * [simplify]: iters left: 3 (223 enodes) 74.258 * * [simplify]: iters left: 2 (417 enodes) 74.553 * * [simplify]: Extracting #0: cost 1 inf + 0 74.553 * * [simplify]: Extracting #1: cost 82 inf + 0 74.555 * * [simplify]: Extracting #2: cost 286 inf + 1 74.558 * * [simplify]: Extracting #3: cost 273 inf + 2455 74.566 * * [simplify]: Extracting #4: cost 237 inf + 11703 74.588 * * [simplify]: Extracting #5: cost 42 inf + 77895 74.626 * * [simplify]: Extracting #6: cost 0 inf + 92866 74.662 * * [simplify]: Extracting #7: cost 0 inf + 92863 74.698 * [simplify]: Simplified to (+ (* (+ (log n) (+ (log 2) (log PI))) (sqrt k)) (+ (log n) (+ (log 2) (log PI)))) 74.698 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (exp (+ (* (+ (log n) (+ (log 2) (log PI))) (sqrt k)) (+ (log n) (+ (log 2) (log PI))))) (/ (- 1 (sqrt k)) 2))))) 74.699 * * * * [progress]: [ 2 / 209 ] simplifiying candidate # 74.699 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (+ 1 (sqrt k)) 1)) 74.699 * * [simplify]: iters left: 6 (13 enodes) 74.706 * * [simplify]: iters left: 5 (48 enodes) 74.722 * * [simplify]: iters left: 4 (77 enodes) 74.738 * * [simplify]: iters left: 3 (175 enodes) 74.799 * * [simplify]: iters left: 2 (359 enodes) 74.996 * * [simplify]: Extracting #0: cost 1 inf + 0 74.997 * * [simplify]: Extracting #1: cost 77 inf + 0 74.997 * * [simplify]: Extracting #2: cost 249 inf + 1 74.999 * * [simplify]: Extracting #3: cost 238 inf + 1489 75.000 * * [simplify]: Extracting #4: cost 225 inf + 3319 75.003 * * [simplify]: Extracting #5: cost 184 inf + 14577 75.019 * * [simplify]: Extracting #6: cost 20 inf + 68948 75.034 * * [simplify]: Extracting #7: cost 0 inf + 76453 75.057 * * [simplify]: Extracting #8: cost 0 inf + 76372 75.084 * [simplify]: Simplified to (+ (* (sqrt k) (+ (log n) (log (* 2 PI)))) (+ (log n) (log (* 2 PI)))) 75.085 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (exp (+ (* (sqrt k) (+ (log n) (log (* 2 PI)))) (+ (log n) (log (* 2 PI))))) (/ (- 1 (sqrt k)) 2))))) 75.085 * * * * [progress]: [ 3 / 209 ] simplifiying candidate # 75.085 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (+ 1 (sqrt k)) 1)) 75.085 * * [simplify]: iters left: 6 (12 enodes) 75.091 * * [simplify]: iters left: 5 (47 enodes) 75.107 * * [simplify]: iters left: 4 (84 enodes) 75.137 * * [simplify]: iters left: 3 (178 enodes) 75.216 * * [simplify]: iters left: 2 (374 enodes) 75.450 * * [simplify]: Extracting #0: cost 1 inf + 0 75.450 * * [simplify]: Extracting #1: cost 80 inf + 0 75.452 * * [simplify]: Extracting #2: cost 245 inf + 1 75.454 * * [simplify]: Extracting #3: cost 238 inf + 986 75.457 * * [simplify]: Extracting #4: cost 201 inf + 6718 75.476 * * [simplify]: Extracting #5: cost 27 inf + 57296 75.502 * * [simplify]: Extracting #6: cost 0 inf + 66670 75.529 * [simplify]: Simplified to (+ (* (sqrt k) (log (* (* PI 2) n))) (log (* (* PI 2) n))) 75.529 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (exp (+ (* (sqrt k) (log (* (* PI 2) n))) (log (* (* PI 2) n)))) (/ (- 1 (sqrt k)) 2))))) 75.529 * * * * [progress]: [ 4 / 209 ] simplifiying candidate # 75.530 * * * * [progress]: [ 5 / 209 ] simplifiying candidate # 75.530 * [simplify]: Simplifying (* n (* 2 PI)) 75.530 * * [simplify]: iters left: 4 (5 enodes) 75.533 * * [simplify]: iters left: 3 (19 enodes) 75.539 * * [simplify]: iters left: 2 (27 enodes) 75.547 * * [simplify]: iters left: 1 (32 enodes) 75.559 * * [simplify]: Extracting #0: cost 1 inf + 0 75.559 * * [simplify]: Extracting #1: cost 8 inf + 0 75.559 * * [simplify]: Extracting #2: cost 7 inf + 45 75.559 * * [simplify]: Extracting #3: cost 0 inf + 421 75.559 * [simplify]: Simplified to (* (* PI 2) n) 75.559 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* PI 2) n) (* 1 (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))))) 75.560 * * * * [progress]: [ 6 / 209 ] simplifiying candidate # 75.560 * [simplify]: Simplifying (* n (* 2 PI)) 75.560 * * [simplify]: iters left: 4 (5 enodes) 75.563 * * [simplify]: iters left: 3 (19 enodes) 75.569 * * [simplify]: iters left: 2 (27 enodes) 75.577 * * [simplify]: iters left: 1 (32 enodes) 75.584 * * [simplify]: Extracting #0: cost 1 inf + 0 75.585 * * [simplify]: Extracting #1: cost 8 inf + 0 75.585 * * [simplify]: Extracting #2: cost 7 inf + 45 75.585 * * [simplify]: Extracting #3: cost 0 inf + 421 75.585 * [simplify]: Simplified to (* (* PI 2) n) 75.585 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* PI 2) n) (* 1 (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))))) 75.585 * * * * [progress]: [ 7 / 209 ] simplifiying candidate # 75.586 * [simplify]: Simplifying (* n (* 2 PI)) 75.586 * * [simplify]: iters left: 4 (5 enodes) 75.588 * * [simplify]: iters left: 3 (19 enodes) 75.594 * * [simplify]: iters left: 2 (27 enodes) 75.602 * * [simplify]: iters left: 1 (32 enodes) 75.609 * * [simplify]: Extracting #0: cost 1 inf + 0 75.609 * * [simplify]: Extracting #1: cost 8 inf + 0 75.610 * * [simplify]: Extracting #2: cost 7 inf + 45 75.610 * * [simplify]: Extracting #3: cost 0 inf + 421 75.610 * [simplify]: Simplified to (* (* PI 2) n) 75.610 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* PI 2) n) (* 1 (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))))) 75.610 * * * * [progress]: [ 8 / 209 ] simplifiying candidate # 75.611 * [simplify]: Simplifying (cbrt (/ (+ 1 (sqrt k)) 1)) 75.611 * * [simplify]: iters left: 6 (6 enodes) 75.614 * * [simplify]: iters left: 5 (19 enodes) 75.619 * * [simplify]: iters left: 4 (21 enodes) 75.625 * * [simplify]: Extracting #0: cost 1 inf + 0 75.625 * * [simplify]: Extracting #1: cost 3 inf + 0 75.625 * * [simplify]: Extracting #2: cost 6 inf + 0 75.625 * * [simplify]: Extracting #3: cost 7 inf + 1 75.625 * * [simplify]: Extracting #4: cost 0 inf + 572 75.625 * [simplify]: Simplified to (cbrt (+ 1 (sqrt k))) 75.625 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (* (cbrt (/ (+ 1 (sqrt k)) 1)) (cbrt (/ (+ 1 (sqrt k)) 1)))) (cbrt (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2))))) 75.626 * * * * [progress]: [ 9 / 209 ] simplifiying candidate # 75.626 * [simplify]: Simplifying (sqrt (/ (+ 1 (sqrt k)) 1)) 75.626 * * [simplify]: iters left: 6 (6 enodes) 75.629 * * [simplify]: iters left: 5 (19 enodes) 75.634 * * [simplify]: iters left: 4 (21 enodes) 75.640 * * [simplify]: Extracting #0: cost 1 inf + 0 75.640 * * [simplify]: Extracting #1: cost 3 inf + 0 75.640 * * [simplify]: Extracting #2: cost 6 inf + 0 75.640 * * [simplify]: Extracting #3: cost 7 inf + 1 75.640 * * [simplify]: Extracting #4: cost 0 inf + 492 75.640 * [simplify]: Simplified to (sqrt (+ 1 (sqrt k))) 75.640 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (sqrt (/ (+ 1 (sqrt k)) 1))) (sqrt (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2))))) 75.640 * * * * [progress]: [ 10 / 209 ] simplifiying candidate # 75.641 * [simplify]: Simplifying (/ (cbrt (+ 1 (sqrt k))) (cbrt 1)) 75.641 * * [simplify]: iters left: 6 (7 enodes) 75.645 * * [simplify]: iters left: 5 (24 enodes) 75.652 * * [simplify]: iters left: 4 (26 enodes) 75.659 * * [simplify]: iters left: 3 (28 enodes) 75.666 * * [simplify]: Extracting #0: cost 1 inf + 0 75.666 * * [simplify]: Extracting #1: cost 4 inf + 0 75.666 * * [simplify]: Extracting #2: cost 5 inf + 1 75.666 * * [simplify]: Extracting #3: cost 7 inf + 1 75.666 * * [simplify]: Extracting #4: cost 0 inf + 572 75.666 * [simplify]: Simplified to (cbrt (+ 1 (sqrt k))) 75.666 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (* (cbrt (+ 1 (sqrt k))) (cbrt (+ 1 (sqrt k)))) (* (cbrt 1) (cbrt 1)))) (cbrt (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2))))) 75.666 * * * * [progress]: [ 11 / 209 ] simplifiying candidate # 75.667 * [simplify]: Simplifying (/ (cbrt (+ 1 (sqrt k))) (sqrt 1)) 75.667 * * [simplify]: iters left: 6 (7 enodes) 75.671 * * [simplify]: iters left: 5 (24 enodes) 75.678 * * [simplify]: iters left: 4 (26 enodes) 75.681 * * [simplify]: iters left: 3 (28 enodes) 75.685 * * [simplify]: Extracting #0: cost 1 inf + 0 75.685 * * [simplify]: Extracting #1: cost 4 inf + 0 75.685 * * [simplify]: Extracting #2: cost 5 inf + 1 75.685 * * [simplify]: Extracting #3: cost 7 inf + 1 75.685 * * [simplify]: Extracting #4: cost 0 inf + 572 75.685 * [simplify]: Simplified to (cbrt (+ 1 (sqrt k))) 75.685 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (* (cbrt (+ 1 (sqrt k))) (cbrt (+ 1 (sqrt k)))) (sqrt 1))) (cbrt (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2))))) 75.685 * * * * [progress]: [ 12 / 209 ] simplifiying candidate # 75.685 * [simplify]: Simplifying (/ (cbrt (+ 1 (sqrt k))) 1) 75.685 * * [simplify]: iters left: 6 (6 enodes) 75.687 * * [simplify]: iters left: 5 (19 enodes) 75.690 * * [simplify]: iters left: 4 (21 enodes) 75.693 * * [simplify]: Extracting #0: cost 1 inf + 0 75.693 * * [simplify]: Extracting #1: cost 4 inf + 0 75.693 * * [simplify]: Extracting #2: cost 5 inf + 1 75.693 * * [simplify]: Extracting #3: cost 7 inf + 1 75.693 * * [simplify]: Extracting #4: cost 0 inf + 572 75.693 * [simplify]: Simplified to (cbrt (+ 1 (sqrt k))) 75.693 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (* (cbrt (+ 1 (sqrt k))) (cbrt (+ 1 (sqrt k)))) 1)) (cbrt (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2))))) 75.693 * * * * [progress]: [ 13 / 209 ] simplifiying candidate # 75.693 * [simplify]: Simplifying (/ (sqrt (+ 1 (sqrt k))) (cbrt 1)) 75.693 * * [simplify]: iters left: 6 (7 enodes) 75.697 * * [simplify]: iters left: 5 (24 enodes) 75.700 * * [simplify]: iters left: 4 (26 enodes) 75.704 * * [simplify]: iters left: 3 (28 enodes) 75.707 * * [simplify]: Extracting #0: cost 1 inf + 0 75.707 * * [simplify]: Extracting #1: cost 4 inf + 0 75.707 * * [simplify]: Extracting #2: cost 5 inf + 1 75.707 * * [simplify]: Extracting #3: cost 7 inf + 1 75.707 * * [simplify]: Extracting #4: cost 0 inf + 492 75.707 * [simplify]: Simplified to (sqrt (+ 1 (sqrt k))) 75.708 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (sqrt (+ 1 (sqrt k))) (* (cbrt 1) (cbrt 1)))) (sqrt (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2))))) 75.708 * * * * [progress]: [ 14 / 209 ] simplifiying candidate # 75.708 * [simplify]: Simplifying (/ (sqrt (+ 1 (sqrt k))) (sqrt 1)) 75.708 * * [simplify]: iters left: 6 (7 enodes) 75.710 * * [simplify]: iters left: 5 (24 enodes) 75.717 * * [simplify]: iters left: 4 (26 enodes) 75.724 * * [simplify]: iters left: 3 (28 enodes) 75.730 * * [simplify]: Extracting #0: cost 1 inf + 0 75.731 * * [simplify]: Extracting #1: cost 4 inf + 0 75.731 * * [simplify]: Extracting #2: cost 5 inf + 1 75.731 * * [simplify]: Extracting #3: cost 7 inf + 1 75.731 * * [simplify]: Extracting #4: cost 0 inf + 492 75.731 * [simplify]: Simplified to (sqrt (+ 1 (sqrt k))) 75.731 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (sqrt (+ 1 (sqrt k))) (sqrt 1))) (sqrt (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2))))) 75.731 * * * * [progress]: [ 15 / 209 ] simplifiying candidate # 75.732 * [simplify]: Simplifying (/ (sqrt (+ 1 (sqrt k))) 1) 75.732 * * [simplify]: iters left: 6 (6 enodes) 75.735 * * [simplify]: iters left: 5 (19 enodes) 75.740 * * [simplify]: iters left: 4 (21 enodes) 75.746 * * [simplify]: Extracting #0: cost 1 inf + 0 75.746 * * [simplify]: Extracting #1: cost 4 inf + 0 75.746 * * [simplify]: Extracting #2: cost 5 inf + 1 75.746 * * [simplify]: Extracting #3: cost 7 inf + 1 75.746 * * [simplify]: Extracting #4: cost 0 inf + 492 75.746 * [simplify]: Simplified to (sqrt (+ 1 (sqrt k))) 75.747 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (sqrt (+ 1 (sqrt k))) 1)) (sqrt (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2))))) 75.747 * * * * [progress]: [ 16 / 209 ] simplifiying candidate # 75.747 * [simplify]: Simplifying (/ (+ 1 (sqrt k)) (cbrt 1)) 75.747 * * [simplify]: iters left: 5 (6 enodes) 75.752 * * [simplify]: iters left: 4 (21 enodes) 75.758 * * [simplify]: iters left: 3 (23 enodes) 75.764 * * [simplify]: iters left: 2 (25 enodes) 75.770 * * [simplify]: Extracting #0: cost 1 inf + 0 75.770 * * [simplify]: Extracting #1: cost 4 inf + 0 75.770 * * [simplify]: Extracting #2: cost 5 inf + 1 75.770 * * [simplify]: Extracting #3: cost 4 inf + 2 75.770 * * [simplify]: Extracting #4: cost 1 inf + 166 75.770 * * [simplify]: Extracting #5: cost 0 inf + 248 75.770 * [simplify]: Simplified to (+ 1 (sqrt k)) 75.770 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 1) (cbrt 1)))) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))))) 75.771 * * * * [progress]: [ 17 / 209 ] simplifiying candidate # 75.771 * [simplify]: Simplifying (/ (+ 1 (sqrt k)) (sqrt 1)) 75.771 * * [simplify]: iters left: 5 (6 enodes) 75.776 * * [simplify]: iters left: 4 (21 enodes) 75.782 * * [simplify]: iters left: 3 (23 enodes) 75.788 * * [simplify]: iters left: 2 (25 enodes) 75.793 * * [simplify]: Extracting #0: cost 1 inf + 0 75.793 * * [simplify]: Extracting #1: cost 4 inf + 0 75.794 * * [simplify]: Extracting #2: cost 5 inf + 1 75.794 * * [simplify]: Extracting #3: cost 4 inf + 2 75.794 * * [simplify]: Extracting #4: cost 1 inf + 166 75.794 * * [simplify]: Extracting #5: cost 0 inf + 248 75.794 * [simplify]: Simplified to (+ 1 (sqrt k)) 75.794 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 1))) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))))) 75.794 * * * * [progress]: [ 18 / 209 ] simplifiying candidate # 75.795 * [simplify]: Simplifying (/ (+ 1 (sqrt k)) 1) 75.795 * * [simplify]: iters left: 5 (5 enodes) 75.797 * * [simplify]: iters left: 4 (16 enodes) 75.800 * * [simplify]: iters left: 3 (18 enodes) 75.802 * * [simplify]: Extracting #0: cost 1 inf + 0 75.802 * * [simplify]: Extracting #1: cost 4 inf + 0 75.803 * * [simplify]: Extracting #2: cost 5 inf + 1 75.803 * * [simplify]: Extracting #3: cost 1 inf + 166 75.803 * * [simplify]: Extracting #4: cost 0 inf + 248 75.803 * [simplify]: Simplified to (+ 1 (sqrt k)) 75.803 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ 1 1)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))))) 75.803 * * * * [progress]: [ 19 / 209 ] simplifiying candidate # 75.803 * [simplify]: Simplifying (/ (+ (sqrt 1) (sqrt k)) (cbrt 1)) 75.803 * * [simplify]: iters left: 5 (7 enodes) 75.806 * * [simplify]: iters left: 4 (24 enodes) 75.810 * * [simplify]: iters left: 3 (26 enodes) 75.813 * * [simplify]: iters left: 2 (28 enodes) 75.816 * * [simplify]: Extracting #0: cost 1 inf + 0 75.816 * * [simplify]: Extracting #1: cost 4 inf + 0 75.816 * * [simplify]: Extracting #2: cost 5 inf + 1 75.816 * * [simplify]: Extracting #3: cost 4 inf + 2 75.816 * * [simplify]: Extracting #4: cost 1 inf + 166 75.817 * * [simplify]: Extracting #5: cost 0 inf + 248 75.817 * [simplify]: Simplified to (+ (sqrt k) 1) 75.817 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (sqrt 1) (* (cbrt 1) (cbrt 1)))) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))))) 75.817 * * * * [progress]: [ 20 / 209 ] simplifiying candidate # 75.817 * [simplify]: Simplifying (/ (+ (sqrt 1) (sqrt k)) (sqrt 1)) 75.817 * * [simplify]: iters left: 5 (6 enodes) 75.821 * * [simplify]: iters left: 4 (21 enodes) 75.824 * * [simplify]: iters left: 3 (23 enodes) 75.827 * * [simplify]: iters left: 2 (25 enodes) 75.831 * * [simplify]: Extracting #0: cost 1 inf + 0 75.831 * * [simplify]: Extracting #1: cost 4 inf + 0 75.831 * * [simplify]: Extracting #2: cost 5 inf + 1 75.831 * * [simplify]: Extracting #3: cost 1 inf + 166 75.831 * * [simplify]: Extracting #4: cost 0 inf + 248 75.831 * [simplify]: Simplified to (+ (sqrt k) 1) 75.831 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (sqrt 1) (sqrt 1))) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))))) 75.832 * * * * [progress]: [ 21 / 209 ] simplifiying candidate # 75.832 * [simplify]: Simplifying (/ (+ (sqrt 1) (sqrt k)) 1) 75.832 * * [simplify]: iters left: 5 (6 enodes) 75.836 * * [simplify]: iters left: 4 (19 enodes) 75.841 * * [simplify]: iters left: 3 (21 enodes) 75.846 * * [simplify]: Extracting #0: cost 1 inf + 0 75.846 * * [simplify]: Extracting #1: cost 4 inf + 0 75.846 * * [simplify]: Extracting #2: cost 5 inf + 1 75.846 * * [simplify]: Extracting #3: cost 0 inf + 248 75.846 * [simplify]: Simplified to (+ (sqrt k) 1) 75.847 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (sqrt 1) 1)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))))) 75.847 * * * * [progress]: [ 22 / 209 ] simplifiying candidate # 75.847 * [simplify]: Simplifying (/ (+ 1 (sqrt k)) (cbrt 1)) 75.847 * * [simplify]: iters left: 5 (6 enodes) 75.849 * * [simplify]: iters left: 4 (21 enodes) 75.852 * * [simplify]: iters left: 3 (23 enodes) 75.855 * * [simplify]: iters left: 2 (25 enodes) 75.858 * * [simplify]: Extracting #0: cost 1 inf + 0 75.858 * * [simplify]: Extracting #1: cost 4 inf + 0 75.858 * * [simplify]: Extracting #2: cost 5 inf + 1 75.858 * * [simplify]: Extracting #3: cost 4 inf + 2 75.858 * * [simplify]: Extracting #4: cost 1 inf + 166 75.858 * * [simplify]: Extracting #5: cost 0 inf + 248 75.858 * [simplify]: Simplified to (+ 1 (sqrt k)) 75.858 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 1) (cbrt 1)))) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))))) 75.859 * * * * [progress]: [ 23 / 209 ] simplifiying candidate # 75.859 * [simplify]: Simplifying (/ (+ 1 (sqrt k)) (sqrt 1)) 75.859 * * [simplify]: iters left: 5 (6 enodes) 75.861 * * [simplify]: iters left: 4 (21 enodes) 75.864 * * [simplify]: iters left: 3 (23 enodes) 75.868 * * [simplify]: iters left: 2 (25 enodes) 75.871 * * [simplify]: Extracting #0: cost 1 inf + 0 75.871 * * [simplify]: Extracting #1: cost 4 inf + 0 75.871 * * [simplify]: Extracting #2: cost 5 inf + 1 75.871 * * [simplify]: Extracting #3: cost 4 inf + 2 75.871 * * [simplify]: Extracting #4: cost 1 inf + 166 75.871 * * [simplify]: Extracting #5: cost 0 inf + 248 75.871 * [simplify]: Simplified to (+ 1 (sqrt k)) 75.871 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 1))) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))))) 75.871 * * * * [progress]: [ 24 / 209 ] simplifiying candidate # 75.871 * [simplify]: Simplifying (/ (+ 1 (sqrt k)) 1) 75.871 * * [simplify]: iters left: 5 (5 enodes) 75.873 * * [simplify]: iters left: 4 (16 enodes) 75.875 * * [simplify]: iters left: 3 (18 enodes) 75.878 * * [simplify]: Extracting #0: cost 1 inf + 0 75.878 * * [simplify]: Extracting #1: cost 4 inf + 0 75.878 * * [simplify]: Extracting #2: cost 5 inf + 1 75.878 * * [simplify]: Extracting #3: cost 1 inf + 166 75.878 * * [simplify]: Extracting #4: cost 0 inf + 248 75.878 * [simplify]: Simplified to (+ 1 (sqrt k)) 75.878 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ 1 1)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))))) 75.878 * * * * [progress]: [ 25 / 209 ] simplifiying candidate # 75.879 * [simplify]: Simplifying (/ (+ 1 (sqrt k)) 1) 75.879 * * [simplify]: iters left: 5 (5 enodes) 75.881 * * [simplify]: iters left: 4 (16 enodes) 75.886 * * [simplify]: iters left: 3 (18 enodes) 75.891 * * [simplify]: Extracting #0: cost 1 inf + 0 75.892 * * [simplify]: Extracting #1: cost 4 inf + 0 75.892 * * [simplify]: Extracting #2: cost 5 inf + 1 75.892 * * [simplify]: Extracting #3: cost 1 inf + 166 75.892 * * [simplify]: Extracting #4: cost 0 inf + 248 75.892 * [simplify]: Simplified to (+ 1 (sqrt k)) 75.892 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) 1) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))))) 75.892 * * * * [progress]: [ 26 / 209 ] simplifiying candidate # 75.893 * [simplify]: Simplifying (/ 1 1) 75.893 * * [simplify]: iters left: 2 (2 enodes) 75.894 * * [simplify]: iters left: 1 (6 enodes) 75.896 * * [simplify]: Extracting #0: cost 1 inf + 0 75.896 * * [simplify]: Extracting #1: cost 0 inf + 1 75.896 * [simplify]: Simplified to 1 75.896 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) 1) (/ (- 1 (sqrt k)) 2))))) 75.896 * * * * [progress]: [ 27 / 209 ] simplifiying candidate # 75.897 * [simplify]: Simplifying (pow n (/ (+ 1 (sqrt k)) 1)) 75.897 * * [simplify]: iters left: 6 (7 enodes) 75.900 * * [simplify]: iters left: 5 (26 enodes) 75.909 * * [simplify]: iters left: 4 (39 enodes) 75.922 * * [simplify]: iters left: 3 (65 enodes) 75.946 * * [simplify]: iters left: 2 (127 enodes) 75.971 * * [simplify]: iters left: 1 (256 enodes) 76.074 * * [simplify]: Extracting #0: cost 1 inf + 0 76.075 * * [simplify]: Extracting #1: cost 26 inf + 0 76.075 * * [simplify]: Extracting #2: cost 88 inf + 2 76.076 * * [simplify]: Extracting #3: cost 119 inf + 7 76.077 * * [simplify]: Extracting #4: cost 116 inf + 135 76.079 * * [simplify]: Extracting #5: cost 97 inf + 2803 76.085 * * [simplify]: Extracting #6: cost 40 inf + 25495 76.098 * * [simplify]: Extracting #7: cost 11 inf + 43817 76.111 * * [simplify]: Extracting #8: cost 0 inf + 52114 76.125 * [simplify]: Simplified to (pow n (+ 1 (sqrt k))) 76.125 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (pow n (+ 1 (sqrt k))) (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))))) 76.125 * * * * [progress]: [ 28 / 209 ] simplifiying candidate # 76.125 * * * * [progress]: [ 29 / 209 ] simplifiying candidate # 76.125 * * * * [progress]: [ 30 / 209 ] simplifiying candidate # 76.126 * * * * [progress]: [ 31 / 209 ] simplifiying candidate # 76.126 * * * * [progress]: [ 32 / 209 ] simplifiying candidate # 76.126 * * * * [progress]: [ 33 / 209 ] simplifiying candidate # 76.126 * * * * [progress]: [ 34 / 209 ] simplifiying candidate # 76.126 * * * * [progress]: [ 35 / 209 ] simplifiying candidate # 76.126 * * * * [progress]: [ 36 / 209 ] simplifiying candidate #real (real->posit16 (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2)))))> 76.126 * * * * [progress]: [ 37 / 209 ] simplifiying candidate # 76.126 * [simplify]: Simplifying (* (* (+ (log n) (+ (log 2) (log PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) 76.126 * * [simplify]: iters left: 6 (17 enodes) 76.135 * * [simplify]: iters left: 5 (70 enodes) 76.162 * * [simplify]: iters left: 4 (136 enodes) 76.242 * * [simplify]: Extracting #0: cost 1 inf + 0 76.242 * * [simplify]: Extracting #1: cost 51 inf + 0 76.243 * * [simplify]: Extracting #2: cost 133 inf + 2 76.244 * * [simplify]: Extracting #3: cost 177 inf + 186 76.245 * * [simplify]: Extracting #4: cost 167 inf + 1031 76.248 * * [simplify]: Extracting #5: cost 114 inf + 10315 76.260 * * [simplify]: Extracting #6: cost 16 inf + 41953 76.279 * * [simplify]: Extracting #7: cost 0 inf + 47757 76.295 * [simplify]: Simplified to (* (+ (+ (log n) (+ (log 2) (log PI))) (* (+ (log n) (+ (log 2) (log PI))) (sqrt k))) (/ (- 1 (sqrt k)) 2)) 76.296 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (exp (* (+ (+ (log n) (+ (log 2) (log PI))) (* (+ (log n) (+ (log 2) (log PI))) (sqrt k))) (/ (- 1 (sqrt k)) 2)))))) 76.296 * * * * [progress]: [ 38 / 209 ] simplifiying candidate # 76.296 * [simplify]: Simplifying (* (* (+ (log n) (log (* 2 PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) 76.296 * * [simplify]: iters left: 6 (16 enodes) 76.305 * * [simplify]: iters left: 5 (68 enodes) 76.327 * * [simplify]: iters left: 4 (129 enodes) 76.363 * * [simplify]: iters left: 3 (421 enodes) 76.663 * * [simplify]: Extracting #0: cost 1 inf + 0 76.663 * * [simplify]: Extracting #1: cost 67 inf + 0 76.664 * * [simplify]: Extracting #2: cost 263 inf + 2 76.667 * * [simplify]: Extracting #3: cost 375 inf + 74 76.678 * * [simplify]: Extracting #4: cost 228 inf + 37236 76.717 * * [simplify]: Extracting #5: cost 17 inf + 103523 76.770 * * [simplify]: Extracting #6: cost 0 inf + 111259 76.818 * * [simplify]: Extracting #7: cost 0 inf + 111252 76.866 * [simplify]: Simplified to (* (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) (/ (- 1 (sqrt k)) 2)) 76.866 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (exp (* (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) (/ (- 1 (sqrt k)) 2)))))) 76.866 * * * * [progress]: [ 39 / 209 ] simplifiying candidate # 76.866 * [simplify]: Simplifying (* (* (log (* n (* 2 PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) 76.866 * * [simplify]: iters left: 6 (15 enodes) 76.875 * * [simplify]: iters left: 5 (67 enodes) 76.898 * * [simplify]: iters left: 4 (136 enodes) 76.964 * * [simplify]: iters left: 3 (395 enodes) 77.247 * * [simplify]: Extracting #0: cost 1 inf + 0 77.247 * * [simplify]: Extracting #1: cost 63 inf + 0 77.248 * * [simplify]: Extracting #2: cost 241 inf + 2 77.251 * * [simplify]: Extracting #3: cost 359 inf + 298 77.256 * * [simplify]: Extracting #4: cost 307 inf + 10117 77.266 * * [simplify]: Extracting #5: cost 143 inf + 53720 77.284 * * [simplify]: Extracting #6: cost 16 inf + 89644 77.315 * * [simplify]: Extracting #7: cost 0 inf + 95108 77.345 * [simplify]: Simplified to (* (* (log (* (* PI 2) n)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)) 77.345 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (exp (* (* (log (* (* PI 2) n)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))))) 77.345 * * * * [progress]: [ 40 / 209 ] simplifiying candidate # 77.346 * [simplify]: Simplifying (* (* (log (* n (* 2 PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) 77.346 * * [simplify]: iters left: 6 (15 enodes) 77.354 * * [simplify]: iters left: 5 (67 enodes) 77.376 * * [simplify]: iters left: 4 (136 enodes) 77.426 * * [simplify]: iters left: 3 (395 enodes) 77.706 * * [simplify]: Extracting #0: cost 1 inf + 0 77.706 * * [simplify]: Extracting #1: cost 63 inf + 0 77.707 * * [simplify]: Extracting #2: cost 241 inf + 2 77.710 * * [simplify]: Extracting #3: cost 359 inf + 298 77.714 * * [simplify]: Extracting #4: cost 307 inf + 10117 77.738 * * [simplify]: Extracting #5: cost 143 inf + 53720 77.762 * * [simplify]: Extracting #6: cost 16 inf + 89644 77.788 * * [simplify]: Extracting #7: cost 0 inf + 95108 77.830 * [simplify]: Simplified to (* (* (log (* (* PI 2) n)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)) 77.831 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (exp (* (* (log (* (* PI 2) n)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))))) 77.831 * * * * [progress]: [ 41 / 209 ] simplifiying candidate # 77.831 * [simplify]: Simplifying (* (log (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) 77.831 * * [simplify]: iters left: 6 (15 enodes) 77.840 * * [simplify]: iters left: 5 (64 enodes) 77.862 * * [simplify]: iters left: 4 (120 enodes) 77.905 * * [simplify]: iters left: 3 (293 enodes) 78.085 * * [simplify]: Extracting #0: cost 1 inf + 0 78.085 * * [simplify]: Extracting #1: cost 53 inf + 0 78.086 * * [simplify]: Extracting #2: cost 235 inf + 2 78.087 * * [simplify]: Extracting #3: cost 342 inf + 298 78.090 * * [simplify]: Extracting #4: cost 274 inf + 14535 78.100 * * [simplify]: Extracting #5: cost 61 inf + 69533 78.116 * * [simplify]: Extracting #6: cost 10 inf + 85983 78.136 * * [simplify]: Extracting #7: cost 0 inf + 90234 78.166 * * [simplify]: Extracting #8: cost 0 inf + 90025 78.186 * [simplify]: Simplified to (/ (- (+ (* (log (* (* PI 2) n)) (sqrt k)) (log (* (* PI 2) n))) (* (+ (* (log (* (* PI 2) n)) (sqrt k)) (log (* (* PI 2) n))) (sqrt k))) 2) 78.186 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (exp (/ (- (+ (* (log (* (* PI 2) n)) (sqrt k)) (log (* (* PI 2) n))) (* (+ (* (log (* (* PI 2) n)) (sqrt k)) (log (* (* PI 2) n))) (sqrt k))) 2))))) 78.186 * * * * [progress]: [ 42 / 209 ] simplifiying candidate # 78.186 * * * * [progress]: [ 43 / 209 ] simplifiying candidate # 78.186 * [simplify]: Simplifying (* n (* 2 PI)) 78.186 * * [simplify]: iters left: 4 (5 enodes) 78.188 * * [simplify]: iters left: 3 (19 enodes) 78.191 * * [simplify]: iters left: 2 (27 enodes) 78.195 * * [simplify]: iters left: 1 (32 enodes) 78.199 * * [simplify]: Extracting #0: cost 1 inf + 0 78.199 * * [simplify]: Extracting #1: cost 8 inf + 0 78.199 * * [simplify]: Extracting #2: cost 7 inf + 45 78.199 * * [simplify]: Extracting #3: cost 0 inf + 421 78.199 * [simplify]: Simplified to (* (* PI 2) n) 78.199 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI 2) n) (* (/ (+ 1 (sqrt k)) 1) (/ (- 1 (sqrt k)) 2)))))) 78.199 * * * * [progress]: [ 44 / 209 ] simplifiying candidate # 78.199 * [simplify]: Simplifying (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (sqrt k) 2)) 78.200 * * [simplify]: iters left: 6 (13 enodes) 78.203 * * [simplify]: iters left: 5 (50 enodes) 78.211 * * [simplify]: iters left: 4 (81 enodes) 78.231 * * [simplify]: iters left: 3 (136 enodes) 78.278 * * [simplify]: iters left: 2 (257 enodes) 78.376 * * [simplify]: Extracting #0: cost 1 inf + 0 78.376 * * [simplify]: Extracting #1: cost 13 inf + 0 78.376 * * [simplify]: Extracting #2: cost 63 inf + 1 78.377 * * [simplify]: Extracting #3: cost 125 inf + 5 78.378 * * [simplify]: Extracting #4: cost 134 inf + 507 78.383 * * [simplify]: Extracting #5: cost 59 inf + 22010 78.397 * * [simplify]: Extracting #6: cost 3 inf + 53599 78.414 * * [simplify]: Extracting #7: cost 0 inf + 56180 78.426 * [simplify]: Simplified to (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (sqrt k) 2)) 78.426 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ 1 2)) (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (sqrt k) 2)))))) 78.426 * * * * [progress]: [ 45 / 209 ] simplifiying candidate # 78.426 * [simplify]: Simplifying (cbrt (/ (- 1 (sqrt k)) 2)) 78.426 * * [simplify]: iters left: 6 (7 enodes) 78.429 * * [simplify]: iters left: 5 (29 enodes) 78.434 * * [simplify]: iters left: 4 (38 enodes) 78.439 * * [simplify]: Extracting #0: cost 1 inf + 0 78.439 * * [simplify]: Extracting #1: cost 3 inf + 0 78.440 * * [simplify]: Extracting #2: cost 8 inf + 0 78.440 * * [simplify]: Extracting #3: cost 11 inf + 2 78.440 * * [simplify]: Extracting #4: cost 13 inf + 3 78.440 * * [simplify]: Extracting #5: cost 12 inf + 4 78.440 * * [simplify]: Extracting #6: cost 3 inf + 740 78.440 * * [simplify]: Extracting #7: cost 0 inf + 1228 78.440 * [simplify]: Simplified to (cbrt (- 1/2 (/ (sqrt k) 2))) 78.440 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (* (cbrt (/ (- 1 (sqrt k)) 2)) (cbrt (/ (- 1 (sqrt k)) 2)))) (cbrt (- 1/2 (/ (sqrt k) 2))))))) 78.440 * * * * [progress]: [ 46 / 209 ] simplifiying candidate # 78.441 * [simplify]: Simplifying (sqrt (/ (- 1 (sqrt k)) 2)) 78.441 * * [simplify]: iters left: 6 (7 enodes) 78.443 * * [simplify]: iters left: 5 (29 enodes) 78.447 * * [simplify]: iters left: 4 (38 enodes) 78.455 * * [simplify]: Extracting #0: cost 1 inf + 0 78.456 * * [simplify]: Extracting #1: cost 3 inf + 0 78.456 * * [simplify]: Extracting #2: cost 8 inf + 0 78.456 * * [simplify]: Extracting #3: cost 11 inf + 2 78.456 * * [simplify]: Extracting #4: cost 13 inf + 3 78.456 * * [simplify]: Extracting #5: cost 12 inf + 4 78.456 * * [simplify]: Extracting #6: cost 3 inf + 740 78.456 * * [simplify]: Extracting #7: cost 0 inf + 1148 78.457 * [simplify]: Simplified to (sqrt (- 1/2 (/ (sqrt k) 2))) 78.457 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (sqrt (/ (- 1 (sqrt k)) 2))) (sqrt (- 1/2 (/ (sqrt k) 2))))))) 78.457 * * * * [progress]: [ 47 / 209 ] simplifiying candidate # 78.457 * [simplify]: Simplifying (/ (cbrt (- 1 (sqrt k))) (cbrt 2)) 78.458 * * [simplify]: iters left: 6 (8 enodes) 78.462 * * [simplify]: iters left: 5 (28 enodes) 78.470 * * [simplify]: iters left: 4 (33 enodes) 78.480 * * [simplify]: Extracting #0: cost 1 inf + 0 78.480 * * [simplify]: Extracting #1: cost 4 inf + 0 78.480 * * [simplify]: Extracting #2: cost 8 inf + 0 78.480 * * [simplify]: Extracting #3: cost 9 inf + 163 78.480 * * [simplify]: Extracting #4: cost 11 inf + 164 78.480 * * [simplify]: Extracting #5: cost 10 inf + 165 78.481 * * [simplify]: Extracting #6: cost 5 inf + 491 78.481 * * [simplify]: Extracting #7: cost 0 inf + 1463 78.481 * [simplify]: Simplified to (/ (cbrt (- 1 (sqrt k))) (cbrt 2)) 78.481 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (* (cbrt (- 1 (sqrt k))) (cbrt (- 1 (sqrt k)))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 (sqrt k))) (cbrt 2)))))) 78.482 * * * * [progress]: [ 48 / 209 ] simplifiying candidate # 78.482 * [simplify]: Simplifying (/ (cbrt (- 1 (sqrt k))) (sqrt 2)) 78.482 * * [simplify]: iters left: 6 (8 enodes) 78.487 * * [simplify]: iters left: 5 (28 enodes) 78.499 * * [simplify]: iters left: 4 (33 enodes) 78.507 * * [simplify]: Extracting #0: cost 1 inf + 0 78.507 * * [simplify]: Extracting #1: cost 4 inf + 0 78.507 * * [simplify]: Extracting #2: cost 8 inf + 0 78.507 * * [simplify]: Extracting #3: cost 9 inf + 83 78.508 * * [simplify]: Extracting #4: cost 11 inf + 84 78.508 * * [simplify]: Extracting #5: cost 10 inf + 85 78.508 * * [simplify]: Extracting #6: cost 5 inf + 411 78.508 * * [simplify]: Extracting #7: cost 0 inf + 1303 78.508 * [simplify]: Simplified to (/ (cbrt (- 1 (sqrt k))) (sqrt 2)) 78.508 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (* (cbrt (- 1 (sqrt k))) (cbrt (- 1 (sqrt k)))) (sqrt 2))) (/ (cbrt (- 1 (sqrt k))) (sqrt 2)))))) 78.508 * * * * [progress]: [ 49 / 209 ] simplifiying candidate # 78.508 * [simplify]: Simplifying (/ (cbrt (- 1 (sqrt k))) 2) 78.508 * * [simplify]: iters left: 6 (7 enodes) 78.510 * * [simplify]: iters left: 5 (25 enodes) 78.514 * * [simplify]: iters left: 4 (30 enodes) 78.518 * * [simplify]: Extracting #0: cost 1 inf + 0 78.518 * * [simplify]: Extracting #1: cost 4 inf + 0 78.519 * * [simplify]: Extracting #2: cost 5 inf + 1 78.519 * * [simplify]: Extracting #3: cost 9 inf + 1 78.519 * * [simplify]: Extracting #4: cost 11 inf + 2 78.519 * * [simplify]: Extracting #5: cost 10 inf + 3 78.519 * * [simplify]: Extracting #6: cost 5 inf + 330 78.519 * * [simplify]: Extracting #7: cost 2 inf + 776 78.519 * * [simplify]: Extracting #8: cost 0 inf + 1141 78.519 * [simplify]: Simplified to (/ (cbrt (- 1 (sqrt k))) 2) 78.519 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (* (cbrt (- 1 (sqrt k))) (cbrt (- 1 (sqrt k)))) 1)) (/ (cbrt (- 1 (sqrt k))) 2))))) 78.519 * * * * [progress]: [ 50 / 209 ] simplifiying candidate # 78.520 * [simplify]: Simplifying (/ (sqrt (- 1 (sqrt k))) (cbrt 2)) 78.520 * * [simplify]: iters left: 6 (8 enodes) 78.522 * * [simplify]: iters left: 5 (28 enodes) 78.527 * * [simplify]: iters left: 4 (33 enodes) 78.532 * * [simplify]: Extracting #0: cost 1 inf + 0 78.532 * * [simplify]: Extracting #1: cost 4 inf + 0 78.532 * * [simplify]: Extracting #2: cost 8 inf + 0 78.532 * * [simplify]: Extracting #3: cost 9 inf + 163 78.532 * * [simplify]: Extracting #4: cost 11 inf + 164 78.532 * * [simplify]: Extracting #5: cost 10 inf + 165 78.532 * * [simplify]: Extracting #6: cost 5 inf + 491 78.532 * * [simplify]: Extracting #7: cost 0 inf + 1303 78.532 * [simplify]: Simplified to (/ (sqrt (- 1 (sqrt k))) (cbrt 2)) 78.532 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (sqrt (- 1 (sqrt k))) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 (sqrt k))) (cbrt 2)))))) 78.532 * * * * [progress]: [ 51 / 209 ] simplifiying candidate # 78.533 * [simplify]: Simplifying (/ (sqrt (- 1 (sqrt k))) (sqrt 2)) 78.533 * * [simplify]: iters left: 6 (8 enodes) 78.536 * * [simplify]: iters left: 5 (28 enodes) 78.545 * * [simplify]: iters left: 4 (33 enodes) 78.555 * * [simplify]: Extracting #0: cost 1 inf + 0 78.555 * * [simplify]: Extracting #1: cost 4 inf + 0 78.555 * * [simplify]: Extracting #2: cost 8 inf + 0 78.555 * * [simplify]: Extracting #3: cost 9 inf + 83 78.555 * * [simplify]: Extracting #4: cost 11 inf + 84 78.555 * * [simplify]: Extracting #5: cost 10 inf + 85 78.555 * * [simplify]: Extracting #6: cost 5 inf + 411 78.556 * * [simplify]: Extracting #7: cost 0 inf + 1143 78.556 * [simplify]: Simplified to (/ (sqrt (- 1 (sqrt k))) (sqrt 2)) 78.556 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (sqrt (- 1 (sqrt k))) (sqrt 2))) (/ (sqrt (- 1 (sqrt k))) (sqrt 2)))))) 78.556 * * * * [progress]: [ 52 / 209 ] simplifiying candidate # 78.557 * [simplify]: Simplifying (/ (sqrt (- 1 (sqrt k))) 2) 78.557 * * [simplify]: iters left: 6 (7 enodes) 78.560 * * [simplify]: iters left: 5 (25 enodes) 78.568 * * [simplify]: iters left: 4 (30 enodes) 78.577 * * [simplify]: Extracting #0: cost 1 inf + 0 78.577 * * [simplify]: Extracting #1: cost 4 inf + 0 78.577 * * [simplify]: Extracting #2: cost 5 inf + 1 78.577 * * [simplify]: Extracting #3: cost 9 inf + 1 78.577 * * [simplify]: Extracting #4: cost 11 inf + 2 78.577 * * [simplify]: Extracting #5: cost 10 inf + 3 78.577 * * [simplify]: Extracting #6: cost 5 inf + 330 78.577 * * [simplify]: Extracting #7: cost 2 inf + 696 78.578 * * [simplify]: Extracting #8: cost 0 inf + 981 78.578 * [simplify]: Simplified to (/ (sqrt (- 1 (sqrt k))) 2) 78.578 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (sqrt (- 1 (sqrt k))) 1)) (/ (sqrt (- 1 (sqrt k))) 2))))) 78.578 * * * * [progress]: [ 53 / 209 ] simplifiying candidate # 78.579 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 78.579 * * [simplify]: iters left: 5 (7 enodes) 78.583 * * [simplify]: iters left: 4 (28 enodes) 78.593 * * [simplify]: iters left: 3 (39 enodes) 78.604 * * [simplify]: iters left: 2 (43 enodes) 78.617 * * [simplify]: Extracting #0: cost 1 inf + 0 78.617 * * [simplify]: Extracting #1: cost 7 inf + 0 78.617 * * [simplify]: Extracting #2: cost 16 inf + 0 78.617 * * [simplify]: Extracting #3: cost 15 inf + 164 78.617 * * [simplify]: Extracting #4: cost 13 inf + 287 78.618 * * [simplify]: Extracting #5: cost 5 inf + 1180 78.618 * * [simplify]: Extracting #6: cost 0 inf + 1951 78.619 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 78.619 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2)))))) 78.619 * * * * [progress]: [ 54 / 209 ] simplifiying candidate # 78.619 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 78.619 * * [simplify]: iters left: 5 (7 enodes) 78.624 * * [simplify]: iters left: 4 (28 enodes) 78.636 * * [simplify]: iters left: 3 (39 enodes) 78.648 * * [simplify]: iters left: 2 (43 enodes) 78.660 * * [simplify]: Extracting #0: cost 1 inf + 0 78.660 * * [simplify]: Extracting #1: cost 7 inf + 0 78.660 * * [simplify]: Extracting #2: cost 16 inf + 0 78.660 * * [simplify]: Extracting #3: cost 15 inf + 84 78.660 * * [simplify]: Extracting #4: cost 13 inf + 167 78.661 * * [simplify]: Extracting #5: cost 5 inf + 900 78.661 * * [simplify]: Extracting #6: cost 0 inf + 1551 78.662 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 78.662 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ 1 (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2)))))) 78.662 * * * * [progress]: [ 55 / 209 ] simplifiying candidate # 78.662 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 78.662 * * [simplify]: iters left: 5 (6 enodes) 78.666 * * [simplify]: iters left: 4 (26 enodes) 78.675 * * [simplify]: iters left: 3 (35 enodes) 78.685 * * [simplify]: Extracting #0: cost 1 inf + 0 78.685 * * [simplify]: Extracting #1: cost 6 inf + 0 78.685 * * [simplify]: Extracting #2: cost 9 inf + 2 78.685 * * [simplify]: Extracting #3: cost 11 inf + 3 78.685 * * [simplify]: Extracting #4: cost 10 inf + 4 78.686 * * [simplify]: Extracting #5: cost 3 inf + 535 78.686 * * [simplify]: Extracting #6: cost 0 inf + 822 78.686 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 78.686 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ 1 1)) (/ (- 1 (sqrt k)) 2))))) 78.687 * * * * [progress]: [ 56 / 209 ] simplifiying candidate # 78.687 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt (sqrt k))) (cbrt 2)) 78.687 * * [simplify]: iters left: 6 (9 enodes) 78.693 * * [simplify]: iters left: 5 (34 enodes) 78.704 * * [simplify]: iters left: 4 (48 enodes) 78.717 * * [simplify]: iters left: 3 (54 enodes) 78.732 * * [simplify]: iters left: 2 (55 enodes) 78.741 * * [simplify]: iters left: 1 (56 enodes) 78.748 * * [simplify]: Extracting #0: cost 1 inf + 0 78.749 * * [simplify]: Extracting #1: cost 8 inf + 0 78.749 * * [simplify]: Extracting #2: cost 18 inf + 0 78.749 * * [simplify]: Extracting #3: cost 17 inf + 164 78.749 * * [simplify]: Extracting #4: cost 16 inf + 530 78.749 * * [simplify]: Extracting #5: cost 12 inf + 735 78.749 * * [simplify]: Extracting #6: cost 4 inf + 1787 78.750 * * [simplify]: Extracting #7: cost 1 inf + 2515 78.750 * * [simplify]: Extracting #8: cost 0 inf + 2757 78.751 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) (cbrt 2)) 78.751 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ (sqrt 1) (sqrt (sqrt k))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt (sqrt k))) (cbrt 2)))))) 78.751 * * * * [progress]: [ 57 / 209 ] simplifiying candidate # 78.751 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt (sqrt k))) (sqrt 2)) 78.751 * * [simplify]: iters left: 6 (9 enodes) 78.755 * * [simplify]: iters left: 5 (34 enodes) 78.760 * * [simplify]: iters left: 4 (48 enodes) 78.774 * * [simplify]: iters left: 3 (54 enodes) 78.788 * * [simplify]: iters left: 2 (55 enodes) 78.803 * * [simplify]: iters left: 1 (56 enodes) 78.817 * * [simplify]: Extracting #0: cost 1 inf + 0 78.817 * * [simplify]: Extracting #1: cost 8 inf + 0 78.817 * * [simplify]: Extracting #2: cost 18 inf + 0 78.817 * * [simplify]: Extracting #3: cost 17 inf + 84 78.817 * * [simplify]: Extracting #4: cost 16 inf + 330 78.818 * * [simplify]: Extracting #5: cost 12 inf + 495 78.818 * * [simplify]: Extracting #6: cost 4 inf + 1467 78.819 * * [simplify]: Extracting #7: cost 1 inf + 2075 78.820 * * [simplify]: Extracting #8: cost 0 inf + 2277 78.820 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) (sqrt 2)) 78.821 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ (sqrt 1) (sqrt (sqrt k))) (sqrt 2))) (/ (- 1 (sqrt (sqrt k))) (sqrt 2)))))) 78.821 * * * * [progress]: [ 58 / 209 ] simplifiying candidate # 78.821 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt (sqrt k))) 2) 78.821 * * [simplify]: iters left: 6 (8 enodes) 78.826 * * [simplify]: iters left: 5 (31 enodes) 78.837 * * [simplify]: iters left: 4 (46 enodes) 78.848 * * [simplify]: iters left: 3 (49 enodes) 78.861 * * [simplify]: Extracting #0: cost 1 inf + 0 78.861 * * [simplify]: Extracting #1: cost 7 inf + 0 78.861 * * [simplify]: Extracting #2: cost 11 inf + 2 78.861 * * [simplify]: Extracting #3: cost 13 inf + 3 78.861 * * [simplify]: Extracting #4: cost 15 inf + 3 78.861 * * [simplify]: Extracting #5: cost 13 inf + 45 78.862 * * [simplify]: Extracting #6: cost 5 inf + 898 78.862 * * [simplify]: Extracting #7: cost 0 inf + 1628 78.863 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) 2) 78.863 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ (sqrt 1) (sqrt (sqrt k))) 1)) (/ (- 1 (sqrt (sqrt k))) 2))))) 78.863 * * * * [progress]: [ 59 / 209 ] simplifiying candidate # 78.863 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt (sqrt k))) (cbrt 2)) 78.863 * * [simplify]: iters left: 6 (9 enodes) 78.869 * * [simplify]: iters left: 5 (34 enodes) 78.875 * * [simplify]: iters left: 4 (48 enodes) 78.881 * * [simplify]: iters left: 3 (54 enodes) 78.889 * * [simplify]: iters left: 2 (55 enodes) 78.906 * * [simplify]: iters left: 1 (56 enodes) 78.920 * * [simplify]: Extracting #0: cost 1 inf + 0 78.921 * * [simplify]: Extracting #1: cost 8 inf + 0 78.921 * * [simplify]: Extracting #2: cost 18 inf + 0 78.921 * * [simplify]: Extracting #3: cost 17 inf + 164 78.921 * * [simplify]: Extracting #4: cost 16 inf + 530 78.921 * * [simplify]: Extracting #5: cost 12 inf + 735 78.922 * * [simplify]: Extracting #6: cost 4 inf + 1787 78.922 * * [simplify]: Extracting #7: cost 1 inf + 2515 78.923 * * [simplify]: Extracting #8: cost 0 inf + 2757 78.924 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) (cbrt 2)) 78.924 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ (sqrt 1) (sqrt (sqrt k))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt (sqrt k))) (cbrt 2)))))) 78.924 * * * * [progress]: [ 60 / 209 ] simplifiying candidate # 78.925 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt (sqrt k))) (sqrt 2)) 78.925 * * [simplify]: iters left: 6 (9 enodes) 78.931 * * [simplify]: iters left: 5 (34 enodes) 78.941 * * [simplify]: iters left: 4 (48 enodes) 78.955 * * [simplify]: iters left: 3 (54 enodes) 78.970 * * [simplify]: iters left: 2 (55 enodes) 78.984 * * [simplify]: iters left: 1 (56 enodes) 78.999 * * [simplify]: Extracting #0: cost 1 inf + 0 78.999 * * [simplify]: Extracting #1: cost 8 inf + 0 78.999 * * [simplify]: Extracting #2: cost 18 inf + 0 78.999 * * [simplify]: Extracting #3: cost 17 inf + 84 79.000 * * [simplify]: Extracting #4: cost 16 inf + 330 79.000 * * [simplify]: Extracting #5: cost 12 inf + 495 79.001 * * [simplify]: Extracting #6: cost 4 inf + 1467 79.001 * * [simplify]: Extracting #7: cost 1 inf + 2075 79.002 * * [simplify]: Extracting #8: cost 0 inf + 2277 79.003 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) (sqrt 2)) 79.003 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ (sqrt 1) (sqrt (sqrt k))) (sqrt 2))) (/ (- 1 (sqrt (sqrt k))) (sqrt 2)))))) 79.003 * * * * [progress]: [ 61 / 209 ] simplifiying candidate # 79.004 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt (sqrt k))) 2) 79.004 * * [simplify]: iters left: 6 (8 enodes) 79.009 * * [simplify]: iters left: 5 (31 enodes) 79.020 * * [simplify]: iters left: 4 (46 enodes) 79.031 * * [simplify]: iters left: 3 (49 enodes) 79.045 * * [simplify]: Extracting #0: cost 1 inf + 0 79.045 * * [simplify]: Extracting #1: cost 7 inf + 0 79.045 * * [simplify]: Extracting #2: cost 11 inf + 2 79.045 * * [simplify]: Extracting #3: cost 13 inf + 3 79.045 * * [simplify]: Extracting #4: cost 15 inf + 3 79.045 * * [simplify]: Extracting #5: cost 13 inf + 45 79.046 * * [simplify]: Extracting #6: cost 5 inf + 898 79.046 * * [simplify]: Extracting #7: cost 0 inf + 1628 79.046 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) 2) 79.046 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ (sqrt 1) (sqrt (sqrt k))) 1)) (/ (- 1 (sqrt (sqrt k))) 2))))) 79.046 * * * * [progress]: [ 62 / 209 ] simplifiying candidate # 79.046 * [simplify]: Simplifying (/ (- 1 (sqrt (sqrt k))) (cbrt 2)) 79.047 * * [simplify]: iters left: 6 (8 enodes) 79.049 * * [simplify]: iters left: 5 (31 enodes) 79.056 * * [simplify]: iters left: 4 (42 enodes) 79.063 * * [simplify]: iters left: 3 (46 enodes) 79.069 * * [simplify]: Extracting #0: cost 1 inf + 0 79.069 * * [simplify]: Extracting #1: cost 7 inf + 0 79.069 * * [simplify]: Extracting #2: cost 16 inf + 0 79.069 * * [simplify]: Extracting #3: cost 17 inf + 2 79.069 * * [simplify]: Extracting #4: cost 15 inf + 408 79.070 * * [simplify]: Extracting #5: cost 14 inf + 409 79.070 * * [simplify]: Extracting #6: cost 9 inf + 975 79.070 * * [simplify]: Extracting #7: cost 1 inf + 2270 79.070 * * [simplify]: Extracting #8: cost 0 inf + 2513 79.071 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) (cbrt 2)) 79.071 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ 1 (sqrt (sqrt k))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt (sqrt k))) (cbrt 2)))))) 79.071 * * * * [progress]: [ 63 / 209 ] simplifiying candidate # 79.071 * [simplify]: Simplifying (/ (- 1 (sqrt (sqrt k))) (sqrt 2)) 79.071 * * [simplify]: iters left: 6 (8 enodes) 79.074 * * [simplify]: iters left: 5 (31 enodes) 79.078 * * [simplify]: iters left: 4 (42 enodes) 79.084 * * [simplify]: iters left: 3 (46 enodes) 79.091 * * [simplify]: Extracting #0: cost 1 inf + 0 79.091 * * [simplify]: Extracting #1: cost 7 inf + 0 79.091 * * [simplify]: Extracting #2: cost 16 inf + 0 79.091 * * [simplify]: Extracting #3: cost 17 inf + 2 79.091 * * [simplify]: Extracting #4: cost 15 inf + 248 79.091 * * [simplify]: Extracting #5: cost 14 inf + 249 79.091 * * [simplify]: Extracting #6: cost 9 inf + 775 79.092 * * [simplify]: Extracting #7: cost 1 inf + 1910 79.092 * * [simplify]: Extracting #8: cost 0 inf + 2113 79.092 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) (sqrt 2)) 79.092 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ 1 (sqrt (sqrt k))) (sqrt 2))) (/ (- 1 (sqrt (sqrt k))) (sqrt 2)))))) 79.093 * * * * [progress]: [ 64 / 209 ] simplifiying candidate # 79.093 * [simplify]: Simplifying (/ (- 1 (sqrt (sqrt k))) 2) 79.093 * * [simplify]: iters left: 6 (7 enodes) 79.095 * * [simplify]: iters left: 5 (29 enodes) 79.101 * * [simplify]: iters left: 4 (38 enodes) 79.109 * * [simplify]: Extracting #0: cost 1 inf + 0 79.109 * * [simplify]: Extracting #1: cost 6 inf + 0 79.109 * * [simplify]: Extracting #2: cost 9 inf + 2 79.109 * * [simplify]: Extracting #3: cost 11 inf + 3 79.109 * * [simplify]: Extracting #4: cost 13 inf + 3 79.109 * * [simplify]: Extracting #5: cost 12 inf + 4 79.109 * * [simplify]: Extracting #6: cost 9 inf + 167 79.109 * * [simplify]: Extracting #7: cost 0 inf + 1304 79.110 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) 2) 79.110 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ 1 (sqrt (sqrt k))) 1)) (/ (- 1 (sqrt (sqrt k))) 2))))) 79.110 * * * * [progress]: [ 65 / 209 ] simplifiying candidate # 79.110 * [simplify]: Simplifying (/ (- 1 (sqrt (sqrt k))) (cbrt 2)) 79.110 * * [simplify]: iters left: 6 (8 enodes) 79.112 * * [simplify]: iters left: 5 (31 enodes) 79.117 * * [simplify]: iters left: 4 (42 enodes) 79.124 * * [simplify]: iters left: 3 (46 enodes) 79.130 * * [simplify]: Extracting #0: cost 1 inf + 0 79.130 * * [simplify]: Extracting #1: cost 7 inf + 0 79.130 * * [simplify]: Extracting #2: cost 16 inf + 0 79.130 * * [simplify]: Extracting #3: cost 17 inf + 2 79.131 * * [simplify]: Extracting #4: cost 15 inf + 408 79.131 * * [simplify]: Extracting #5: cost 14 inf + 409 79.131 * * [simplify]: Extracting #6: cost 9 inf + 975 79.131 * * [simplify]: Extracting #7: cost 1 inf + 2270 79.131 * * [simplify]: Extracting #8: cost 0 inf + 2513 79.132 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) (cbrt 2)) 79.132 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ 1 (sqrt (sqrt k))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt (sqrt k))) (cbrt 2)))))) 79.132 * * * * [progress]: [ 66 / 209 ] simplifiying candidate # 79.132 * [simplify]: Simplifying (/ (- 1 (sqrt (sqrt k))) (sqrt 2)) 79.132 * * [simplify]: iters left: 6 (8 enodes) 79.138 * * [simplify]: iters left: 5 (31 enodes) 79.147 * * [simplify]: iters left: 4 (42 enodes) 79.155 * * [simplify]: iters left: 3 (46 enodes) 79.161 * * [simplify]: Extracting #0: cost 1 inf + 0 79.161 * * [simplify]: Extracting #1: cost 7 inf + 0 79.161 * * [simplify]: Extracting #2: cost 16 inf + 0 79.161 * * [simplify]: Extracting #3: cost 17 inf + 2 79.161 * * [simplify]: Extracting #4: cost 15 inf + 248 79.162 * * [simplify]: Extracting #5: cost 14 inf + 249 79.162 * * [simplify]: Extracting #6: cost 9 inf + 775 79.162 * * [simplify]: Extracting #7: cost 1 inf + 1910 79.162 * * [simplify]: Extracting #8: cost 0 inf + 2113 79.163 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) (sqrt 2)) 79.163 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ 1 (sqrt (sqrt k))) (sqrt 2))) (/ (- 1 (sqrt (sqrt k))) (sqrt 2)))))) 79.163 * * * * [progress]: [ 67 / 209 ] simplifiying candidate # 79.163 * [simplify]: Simplifying (/ (- 1 (sqrt (sqrt k))) 2) 79.163 * * [simplify]: iters left: 6 (7 enodes) 79.165 * * [simplify]: iters left: 5 (29 enodes) 79.170 * * [simplify]: iters left: 4 (38 enodes) 79.175 * * [simplify]: Extracting #0: cost 1 inf + 0 79.176 * * [simplify]: Extracting #1: cost 6 inf + 0 79.176 * * [simplify]: Extracting #2: cost 9 inf + 2 79.176 * * [simplify]: Extracting #3: cost 11 inf + 3 79.176 * * [simplify]: Extracting #4: cost 13 inf + 3 79.176 * * [simplify]: Extracting #5: cost 12 inf + 4 79.176 * * [simplify]: Extracting #6: cost 9 inf + 167 79.176 * * [simplify]: Extracting #7: cost 0 inf + 1304 79.176 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) 2) 79.176 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ 1 (sqrt (sqrt k))) 1)) (/ (- 1 (sqrt (sqrt k))) 2))))) 79.177 * * * * [progress]: [ 68 / 209 ] simplifiying candidate # 79.177 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 79.177 * * [simplify]: iters left: 5 (8 enodes) 79.182 * * [simplify]: iters left: 4 (31 enodes) 79.191 * * [simplify]: iters left: 3 (45 enodes) 79.204 * * [simplify]: iters left: 2 (51 enodes) 79.214 * * [simplify]: iters left: 1 (52 enodes) 79.221 * * [simplify]: Extracting #0: cost 1 inf + 0 79.221 * * [simplify]: Extracting #1: cost 8 inf + 0 79.221 * * [simplify]: Extracting #2: cost 18 inf + 0 79.221 * * [simplify]: Extracting #3: cost 19 inf + 2 79.221 * * [simplify]: Extracting #4: cost 9 inf + 977 79.221 * * [simplify]: Extracting #5: cost 2 inf + 1790 79.222 * * [simplify]: Extracting #6: cost 0 inf + 2195 79.222 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 79.222 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (sqrt 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2)))))) 79.222 * * * * [progress]: [ 69 / 209 ] simplifiying candidate # 79.222 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 79.222 * * [simplify]: iters left: 5 (8 enodes) 79.225 * * [simplify]: iters left: 4 (31 enodes) 79.230 * * [simplify]: iters left: 3 (45 enodes) 79.238 * * [simplify]: iters left: 2 (51 enodes) 79.251 * * [simplify]: iters left: 1 (52 enodes) 79.259 * * [simplify]: Extracting #0: cost 1 inf + 0 79.259 * * [simplify]: Extracting #1: cost 8 inf + 0 79.259 * * [simplify]: Extracting #2: cost 18 inf + 0 79.259 * * [simplify]: Extracting #3: cost 19 inf + 2 79.260 * * [simplify]: Extracting #4: cost 9 inf + 697 79.260 * * [simplify]: Extracting #5: cost 2 inf + 1390 79.260 * * [simplify]: Extracting #6: cost 0 inf + 1715 79.261 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 79.261 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (sqrt 1) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2)))))) 79.261 * * * * [progress]: [ 70 / 209 ] simplifiying candidate # 79.261 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 79.261 * * [simplify]: iters left: 5 (7 enodes) 79.264 * * [simplify]: iters left: 4 (29 enodes) 79.268 * * [simplify]: iters left: 3 (43 enodes) 79.274 * * [simplify]: iters left: 2 (47 enodes) 79.280 * * [simplify]: Extracting #0: cost 1 inf + 0 79.280 * * [simplify]: Extracting #1: cost 7 inf + 0 79.280 * * [simplify]: Extracting #2: cost 11 inf + 2 79.281 * * [simplify]: Extracting #3: cost 13 inf + 3 79.281 * * [simplify]: Extracting #4: cost 11 inf + 45 79.281 * * [simplify]: Extracting #5: cost 0 inf + 1066 79.281 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 79.281 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (sqrt 1) 1)) (/ (- 1 (sqrt k)) 2))))) 79.281 * * * * [progress]: [ 71 / 209 ] simplifiying candidate # 79.281 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 79.281 * * [simplify]: iters left: 5 (7 enodes) 79.284 * * [simplify]: iters left: 4 (28 enodes) 79.290 * * [simplify]: iters left: 3 (39 enodes) 79.300 * * [simplify]: iters left: 2 (43 enodes) 79.307 * * [simplify]: Extracting #0: cost 1 inf + 0 79.307 * * [simplify]: Extracting #1: cost 7 inf + 0 79.307 * * [simplify]: Extracting #2: cost 16 inf + 0 79.307 * * [simplify]: Extracting #3: cost 15 inf + 164 79.307 * * [simplify]: Extracting #4: cost 13 inf + 287 79.308 * * [simplify]: Extracting #5: cost 5 inf + 1180 79.308 * * [simplify]: Extracting #6: cost 0 inf + 1951 79.308 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 79.308 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2)))))) 79.308 * * * * [progress]: [ 72 / 209 ] simplifiying candidate # 79.308 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 79.308 * * [simplify]: iters left: 5 (7 enodes) 79.311 * * [simplify]: iters left: 4 (28 enodes) 79.315 * * [simplify]: iters left: 3 (39 enodes) 79.321 * * [simplify]: iters left: 2 (43 enodes) 79.328 * * [simplify]: Extracting #0: cost 1 inf + 0 79.328 * * [simplify]: Extracting #1: cost 7 inf + 0 79.328 * * [simplify]: Extracting #2: cost 16 inf + 0 79.328 * * [simplify]: Extracting #3: cost 15 inf + 84 79.329 * * [simplify]: Extracting #4: cost 13 inf + 167 79.329 * * [simplify]: Extracting #5: cost 5 inf + 900 79.329 * * [simplify]: Extracting #6: cost 0 inf + 1551 79.330 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 79.330 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ 1 (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2)))))) 79.330 * * * * [progress]: [ 73 / 209 ] simplifiying candidate # 79.331 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 79.331 * * [simplify]: iters left: 5 (6 enodes) 79.334 * * [simplify]: iters left: 4 (26 enodes) 79.345 * * [simplify]: iters left: 3 (35 enodes) 79.354 * * [simplify]: Extracting #0: cost 1 inf + 0 79.355 * * [simplify]: Extracting #1: cost 6 inf + 0 79.355 * * [simplify]: Extracting #2: cost 9 inf + 2 79.355 * * [simplify]: Extracting #3: cost 11 inf + 3 79.355 * * [simplify]: Extracting #4: cost 10 inf + 4 79.355 * * [simplify]: Extracting #5: cost 3 inf + 535 79.356 * * [simplify]: Extracting #6: cost 0 inf + 822 79.356 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 79.356 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ 1 1)) (/ (- 1 (sqrt k)) 2))))) 79.356 * * * * [progress]: [ 74 / 209 ] simplifiying candidate # 79.356 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 79.357 * * [simplify]: iters left: 5 (6 enodes) 79.361 * * [simplify]: iters left: 4 (26 enodes) 79.369 * * [simplify]: iters left: 3 (35 enodes) 79.379 * * [simplify]: Extracting #0: cost 1 inf + 0 79.379 * * [simplify]: Extracting #1: cost 6 inf + 0 79.379 * * [simplify]: Extracting #2: cost 9 inf + 2 79.379 * * [simplify]: Extracting #3: cost 11 inf + 3 79.379 * * [simplify]: Extracting #4: cost 10 inf + 4 79.379 * * [simplify]: Extracting #5: cost 3 inf + 535 79.379 * * [simplify]: Extracting #6: cost 0 inf + 822 79.380 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 79.380 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) 1) (/ (- 1 (sqrt k)) 2))))) 79.380 * * * * [progress]: [ 75 / 209 ] simplifiying candidate # 79.380 * [simplify]: Simplifying (/ 1 2) 79.380 * * [simplify]: iters left: 2 (3 enodes) 79.383 * * [simplify]: iters left: 1 (12 enodes) 79.387 * * [simplify]: Extracting #0: cost 1 inf + 0 79.387 * * [simplify]: Extracting #1: cost 0 inf + 1 79.387 * [simplify]: Simplified to 1/2 79.387 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (- 1 (sqrt k))) 1/2)))) 79.388 * * * * [progress]: [ 76 / 209 ] simplifiying candidate # 79.388 * [simplify]: Simplifying (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) 79.388 * * [simplify]: iters left: 6 (11 enodes) 79.394 * * [simplify]: iters left: 5 (46 enodes) 79.408 * * [simplify]: iters left: 4 (80 enodes) 79.421 * * [simplify]: iters left: 3 (135 enodes) 79.446 * * [simplify]: iters left: 2 (262 enodes) 79.519 * * [simplify]: Extracting #0: cost 1 inf + 0 79.519 * * [simplify]: Extracting #1: cost 14 inf + 0 79.519 * * [simplify]: Extracting #2: cost 66 inf + 1 79.519 * * [simplify]: Extracting #3: cost 127 inf + 6 79.520 * * [simplify]: Extracting #4: cost 147 inf + 11 79.520 * * [simplify]: Extracting #5: cost 134 inf + 1777 79.523 * * [simplify]: Extracting #6: cost 61 inf + 18363 79.528 * * [simplify]: Extracting #7: cost 19 inf + 39858 79.535 * * [simplify]: Extracting #8: cost 1 inf + 55694 79.544 * * [simplify]: Extracting #9: cost 0 inf + 56467 79.555 * [simplify]: Simplified to (pow (pow n (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) 79.556 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow n (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))) 79.556 * * * * [progress]: [ 77 / 209 ] simplifiying candidate # 79.556 * [simplify]: Simplifying (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2)) 79.556 * * [simplify]: iters left: 6 (16 enodes) 79.565 * * [simplify]: iters left: 5 (65 enodes) 79.583 * * [simplify]: iters left: 4 (103 enodes) 79.600 * * [simplify]: iters left: 3 (168 enodes) 79.652 * * [simplify]: iters left: 2 (313 enodes) 79.746 * * [simplify]: Extracting #0: cost 1 inf + 0 79.746 * * [simplify]: Extracting #1: cost 13 inf + 0 79.746 * * [simplify]: Extracting #2: cost 57 inf + 1 79.747 * * [simplify]: Extracting #3: cost 91 inf + 6 79.747 * * [simplify]: Extracting #4: cost 108 inf + 10 79.748 * * [simplify]: Extracting #5: cost 145 inf + 52 79.751 * * [simplify]: Extracting #6: cost 119 inf + 5883 79.758 * * [simplify]: Extracting #7: cost 52 inf + 24618 79.776 * * [simplify]: Extracting #8: cost 11 inf + 59981 79.796 * * [simplify]: Extracting #9: cost 0 inf + 68869 79.815 * [simplify]: Simplified to (pow (* (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k))))) (/ (- 1 (sqrt k)) 2)) 79.815 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k))))) (/ (- 1 (sqrt k)) 2)) (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)))))) 79.816 * * * * [progress]: [ 78 / 209 ] simplifiying candidate # 79.816 * [simplify]: Simplifying (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) 79.816 * * [simplify]: iters left: 6 (15 enodes) 79.825 * * [simplify]: iters left: 5 (62 enodes) 79.845 * * [simplify]: iters left: 4 (101 enodes) 79.877 * * [simplify]: iters left: 3 (167 enodes) 79.924 * * [simplify]: iters left: 2 (315 enodes) 79.998 * * [simplify]: Extracting #0: cost 1 inf + 0 79.998 * * [simplify]: Extracting #1: cost 14 inf + 0 79.999 * * [simplify]: Extracting #2: cost 59 inf + 1 79.999 * * [simplify]: Extracting #3: cost 106 inf + 6 80.000 * * [simplify]: Extracting #4: cost 152 inf + 10 80.004 * * [simplify]: Extracting #5: cost 159 inf + 262 80.009 * * [simplify]: Extracting #6: cost 82 inf + 19132 80.026 * * [simplify]: Extracting #7: cost 9 inf + 56261 80.035 * * [simplify]: Extracting #8: cost 0 inf + 63185 80.045 * * [simplify]: Extracting #9: cost 0 inf + 62662 80.055 * * [simplify]: Extracting #10: cost 0 inf + 62532 80.064 * [simplify]: Simplified to (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) 80.064 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)))))) 80.064 * * * * [progress]: [ 79 / 209 ] simplifiying candidate # 80.065 * [simplify]: Simplifying (pow 1 (/ (- 1 (sqrt k)) 2)) 80.065 * * [simplify]: iters left: 6 (7 enodes) 80.067 * * [simplify]: iters left: 5 (27 enodes) 80.072 * * [simplify]: iters left: 4 (36 enodes) 80.077 * * [simplify]: Extracting #0: cost 1 inf + 0 80.077 * * [simplify]: Extracting #1: cost 0 inf + 1 80.077 * [simplify]: Simplified to 1 80.077 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* 1 (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))) 80.077 * * * * [progress]: [ 80 / 209 ] simplifiying candidate # 80.078 * [simplify]: Simplifying (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) 80.078 * * [simplify]: iters left: 6 (15 enodes) 80.082 * * [simplify]: iters left: 5 (64 enodes) 80.093 * * [simplify]: iters left: 4 (107 enodes) 80.113 * * [simplify]: iters left: 3 (172 enodes) 80.170 * * [simplify]: iters left: 2 (308 enodes) 80.289 * * [simplify]: Extracting #0: cost 1 inf + 0 80.289 * * [simplify]: Extracting #1: cost 13 inf + 0 80.290 * * [simplify]: Extracting #2: cost 65 inf + 1 80.290 * * [simplify]: Extracting #3: cost 139 inf + 5 80.291 * * [simplify]: Extracting #4: cost 162 inf + 179 80.291 * * [simplify]: Extracting #5: cost 158 inf + 472 80.293 * * [simplify]: Extracting #6: cost 102 inf + 8559 80.297 * * [simplify]: Extracting #7: cost 44 inf + 34459 80.307 * * [simplify]: Extracting #8: cost 1 inf + 72965 80.327 * * [simplify]: Extracting #9: cost 0 inf + 71959 80.347 * * [simplify]: Extracting #10: cost 0 inf + 71828 80.365 * [simplify]: Simplified to (pow (pow (* (* PI 2) n) (* 1/2 (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) 80.365 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow (* (* PI 2) n) (* 1/2 (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)))))) 80.365 * * * * [progress]: [ 81 / 209 ] simplifiying candidate # 80.366 * * * * [progress]: [ 82 / 209 ] simplifiying candidate # 80.366 * * * * [progress]: [ 83 / 209 ] simplifiying candidate # 80.366 * * * * [progress]: [ 84 / 209 ] simplifiying candidate # 80.366 * * * * [progress]: [ 85 / 209 ] simplifiying candidate # 80.366 * * * * [progress]: [ 86 / 209 ] simplifiying candidate # 80.366 * * * * [progress]: [ 87 / 209 ] simplifiying candidate # 80.366 * * * * [progress]: [ 88 / 209 ] simplifiying candidate # 80.366 * * * * [progress]: [ 89 / 209 ] simplifiying candidate #real (real->posit16 (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))))> 80.366 * * * * [progress]: [ 90 / 209 ] simplifiying candidate # 80.366 * [simplify]: Simplifying (* n (* 2 PI)) 80.366 * * [simplify]: iters left: 4 (5 enodes) 80.368 * * [simplify]: iters left: 3 (19 enodes) 80.371 * * [simplify]: iters left: 2 (27 enodes) 80.375 * * [simplify]: iters left: 1 (32 enodes) 80.379 * * [simplify]: Extracting #0: cost 1 inf + 0 80.379 * * [simplify]: Extracting #1: cost 8 inf + 0 80.379 * * [simplify]: Extracting #2: cost 7 inf + 45 80.379 * * [simplify]: Extracting #3: cost 0 inf + 421 80.379 * [simplify]: Simplified to (* (* PI 2) n) 80.380 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* (* PI 2) n) 1) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) 80.380 * * * * [progress]: [ 91 / 209 ] simplifiying candidate # 80.380 * [simplify]: Simplifying (* n (* 2 PI)) 80.380 * * [simplify]: iters left: 4 (5 enodes) 80.381 * * [simplify]: iters left: 3 (19 enodes) 80.384 * * [simplify]: iters left: 2 (27 enodes) 80.390 * * [simplify]: iters left: 1 (32 enodes) 80.399 * * [simplify]: Extracting #0: cost 1 inf + 0 80.399 * * [simplify]: Extracting #1: cost 8 inf + 0 80.399 * * [simplify]: Extracting #2: cost 7 inf + 45 80.399 * * [simplify]: Extracting #3: cost 0 inf + 421 80.399 * [simplify]: Simplified to (* (* PI 2) n) 80.399 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (pow (* (* PI 2) n) 1) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) 80.399 * * * * [progress]: [ 92 / 209 ] simplifiying candidate # 80.400 * * * * [progress]: [ 93 / 209 ] simplifiying candidate # 80.400 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI))) 80.400 * * [simplify]: iters left: 5 (8 enodes) 80.404 * * [simplify]: iters left: 4 (28 enodes) 80.413 * * [simplify]: iters left: 3 (36 enodes) 80.424 * * [simplify]: iters left: 2 (42 enodes) 80.435 * * [simplify]: Extracting #0: cost 1 inf + 0 80.435 * * [simplify]: Extracting #1: cost 8 inf + 0 80.435 * * [simplify]: Extracting #2: cost 17 inf + 0 80.435 * * [simplify]: Extracting #3: cost 12 inf + 145 80.435 * * [simplify]: Extracting #4: cost 5 inf + 1197 80.436 * * [simplify]: Extracting #5: cost 1 inf + 1925 80.436 * * [simplify]: Extracting #6: cost 0 inf + 2107 80.437 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI))) 80.437 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) 80.437 * * * * [progress]: [ 94 / 209 ] simplifiying candidate # 80.438 * [simplify]: Simplifying (+ (log n) (log (* 2 PI))) 80.438 * * [simplify]: iters left: 5 (7 enodes) 80.442 * * [simplify]: iters left: 4 (26 enodes) 80.450 * * [simplify]: iters left: 3 (35 enodes) 80.460 * * [simplify]: iters left: 2 (44 enodes) 80.467 * * [simplify]: Extracting #0: cost 1 inf + 0 80.467 * * [simplify]: Extracting #1: cost 8 inf + 0 80.467 * * [simplify]: Extracting #2: cost 18 inf + 0 80.467 * * [simplify]: Extracting #3: cost 15 inf + 74 80.467 * * [simplify]: Extracting #4: cost 8 inf + 554 80.467 * * [simplify]: Extracting #5: cost 0 inf + 1911 80.468 * [simplify]: Simplified to (+ (log n) (log (* 2 PI))) 80.468 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (exp (+ (log n) (log (* 2 PI)))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) 80.468 * * * * [progress]: [ 95 / 209 ] simplifiying candidate # 80.468 * * * * [progress]: [ 96 / 209 ] simplifiying candidate # 80.468 * * * * [progress]: [ 97 / 209 ] simplifiying candidate # 80.468 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI))) 80.468 * * [simplify]: iters left: 6 (11 enodes) 80.472 * * [simplify]: iters left: 5 (48 enodes) 80.484 * * [simplify]: iters left: 4 (121 enodes) 80.523 * * [simplify]: iters left: 3 (348 enodes) 80.721 * * [simplify]: Extracting #0: cost 1 inf + 0 80.721 * * [simplify]: Extracting #1: cost 67 inf + 0 80.722 * * [simplify]: Extracting #2: cost 165 inf + 786 80.728 * * [simplify]: Extracting #3: cost 85 inf + 10177 80.739 * * [simplify]: Extracting #4: cost 9 inf + 26399 80.752 * * [simplify]: Extracting #5: cost 0 inf + 28546 80.764 * * [simplify]: Extracting #6: cost 0 inf + 28506 80.776 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI)) 80.776 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (cbrt (* (* (* (* n PI) (* n PI)) 8) (* n PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) 80.776 * * * * [progress]: [ 98 / 209 ] simplifiying candidate # 80.776 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI))) 80.776 * * [simplify]: iters left: 6 (9 enodes) 80.782 * * [simplify]: iters left: 5 (45 enodes) 80.797 * * [simplify]: iters left: 4 (117 enodes) 80.857 * * [simplify]: iters left: 3 (374 enodes) 81.186 * * [simplify]: Extracting #0: cost 1 inf + 0 81.186 * * [simplify]: Extracting #1: cost 77 inf + 0 81.189 * * [simplify]: Extracting #2: cost 184 inf + 984 81.196 * * [simplify]: Extracting #3: cost 106 inf + 11690 81.205 * * [simplify]: Extracting #4: cost 6 inf + 30376 81.215 * * [simplify]: Extracting #5: cost 0 inf + 31644 81.224 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n)) 81.224 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (cbrt (* (* (* (* PI n) (* PI n)) 8) (* PI n))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) 81.224 * * * * [progress]: [ 99 / 209 ] simplifiying candidate # 81.224 * * * * [progress]: [ 100 / 209 ] simplifiying candidate # 81.224 * * * * [progress]: [ 101 / 209 ] simplifiying candidate # 81.224 * * * * [progress]: [ 102 / 209 ] simplifiying candidate # 81.224 * * * * [progress]: [ 103 / 209 ] simplifiying candidate # 81.224 * * * * [progress]: [ 104 / 209 ] simplifiying candidate # 81.225 * [simplify]: Simplifying (* (cbrt n) (cbrt n)) 81.225 * * [simplify]: iters left: 3 (3 enodes) 81.225 * * [simplify]: iters left: 2 (9 enodes) 81.226 * * [simplify]: Extracting #0: cost 1 inf + 0 81.226 * * [simplify]: Extracting #1: cost 3 inf + 0 81.227 * * [simplify]: Extracting #2: cost 5 inf + 0 81.227 * * [simplify]: Extracting #3: cost 4 inf + 1 81.227 * * [simplify]: Extracting #4: cost 0 inf + 405 81.227 * [simplify]: Simplified to (* (cbrt n) (cbrt n)) 81.227 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) 81.227 * * * * [progress]: [ 105 / 209 ] simplifiying candidate # 81.227 * [simplify]: Simplifying (sqrt n) 81.227 * * [simplify]: iters left: 1 (2 enodes) 81.227 * * [simplify]: Extracting #0: cost 1 inf + 0 81.228 * * [simplify]: Extracting #1: cost 3 inf + 0 81.228 * * [simplify]: Extracting #2: cost 2 inf + 1 81.228 * * [simplify]: Extracting #3: cost 0 inf + 83 81.228 * [simplify]: Simplified to (sqrt n) 81.228 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) 81.228 * * * * [progress]: [ 106 / 209 ] simplifiying candidate # 81.228 * * * * [progress]: [ 107 / 209 ] simplifiying candidate #real (real->posit16 (* n (* 2 PI)))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))> 81.228 * * * * [progress]: [ 108 / 209 ] simplifiying candidate # 81.228 * * * * [progress]: [ 109 / 209 ] simplifiying candidate # 81.228 * * * * [progress]: [ 110 / 209 ] simplifiying candidate # 81.228 * [simplify]: Simplifying (- (log (sqrt k)) (* (* (+ (log n) (+ (log 2) (log PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 81.228 * * [simplify]: iters left: 6 (19 enodes) 81.234 * * [simplify]: iters left: 5 (78 enodes) 81.248 * * [simplify]: iters left: 4 (159 enodes) 81.303 * * [simplify]: Extracting #0: cost 1 inf + 0 81.303 * * [simplify]: Extracting #1: cost 5 inf + 0 81.303 * * [simplify]: Extracting #2: cost 66 inf + 0 81.303 * * [simplify]: Extracting #3: cost 170 inf + 2 81.304 * * [simplify]: Extracting #4: cost 209 inf + 532 81.306 * * [simplify]: Extracting #5: cost 167 inf + 8179 81.313 * * [simplify]: Extracting #6: cost 30 inf + 50835 81.328 * * [simplify]: Extracting #7: cost 0 inf + 60785 81.351 * [simplify]: Simplified to (- (log (sqrt k)) (* (+ (* (+ (log n) (+ (log PI) (log 2))) (sqrt k)) (+ (log n) (+ (log PI) (log 2)))) (- 1/2 (/ (sqrt k) 2)))) 81.352 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (+ (* (+ (log n) (+ (log PI) (log 2))) (sqrt k)) (+ (log n) (+ (log PI) (log 2)))) (- 1/2 (/ (sqrt k) 2))))))) 81.352 * * * * [progress]: [ 111 / 209 ] simplifiying candidate # 81.352 * [simplify]: Simplifying (- (log (sqrt k)) (* (* (+ (log n) (log (* 2 PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 81.352 * * [simplify]: iters left: 6 (18 enodes) 81.362 * * [simplify]: iters left: 5 (76 enodes) 81.388 * * [simplify]: iters left: 4 (152 enodes) 81.471 * * [simplify]: Extracting #0: cost 1 inf + 0 81.471 * * [simplify]: Extracting #1: cost 5 inf + 0 81.471 * * [simplify]: Extracting #2: cost 58 inf + 0 81.472 * * [simplify]: Extracting #3: cost 150 inf + 2 81.473 * * [simplify]: Extracting #4: cost 177 inf + 877 81.476 * * [simplify]: Extracting #5: cost 120 inf + 11106 81.490 * * [simplify]: Extracting #6: cost 12 inf + 42589 81.507 * * [simplify]: Extracting #7: cost 0 inf + 46593 81.524 * * [simplify]: Extracting #8: cost 0 inf + 46591 81.541 * [simplify]: Simplified to (- (log (sqrt k)) (/ (+ (+ (log (* 2 PI)) (log n)) (* (sqrt k) (+ (log (* 2 PI)) (log n)))) (/ 2 (- 1 (sqrt k))))) 81.541 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (/ (+ (+ (log (* 2 PI)) (log n)) (* (sqrt k) (+ (log (* 2 PI)) (log n)))) (/ 2 (- 1 (sqrt k)))))))) 81.541 * * * * [progress]: [ 112 / 209 ] simplifiying candidate # 81.542 * [simplify]: Simplifying (- (log (sqrt k)) (* (* (log (* n (* 2 PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 81.542 * * [simplify]: iters left: 6 (17 enodes) 81.551 * * [simplify]: iters left: 5 (75 enodes) 81.578 * * [simplify]: iters left: 4 (159 enodes) 81.655 * * [simplify]: iters left: 3 (497 enodes) 82.037 * * [simplify]: Extracting #0: cost 1 inf + 0 82.037 * * [simplify]: Extracting #1: cost 15 inf + 0 82.038 * * [simplify]: Extracting #2: cost 184 inf + 0 82.040 * * [simplify]: Extracting #3: cost 453 inf + 2 82.051 * * [simplify]: Extracting #4: cost 413 inf + 33428 82.110 * * [simplify]: Extracting #5: cost 27 inf + 148922 82.177 * * [simplify]: Extracting #6: cost 0 inf + 156614 82.223 * * [simplify]: Extracting #7: cost 0 inf + 154374 82.269 * [simplify]: Simplified to (- (log (sqrt k)) (* (+ (log (* n (* 2 PI))) (* (log (* n (* 2 PI))) (sqrt k))) (/ (- 1 (sqrt k)) 2))) 82.269 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (+ (log (* n (* 2 PI))) (* (log (* n (* 2 PI))) (sqrt k))) (/ (- 1 (sqrt k)) 2)))))) 82.269 * * * * [progress]: [ 113 / 209 ] simplifiying candidate # 82.270 * [simplify]: Simplifying (- (log (sqrt k)) (* (* (log (* n (* 2 PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 82.270 * * [simplify]: iters left: 6 (17 enodes) 82.275 * * [simplify]: iters left: 5 (75 enodes) 82.288 * * [simplify]: iters left: 4 (159 enodes) 82.347 * * [simplify]: iters left: 3 (497 enodes) 82.663 * * [simplify]: Extracting #0: cost 1 inf + 0 82.663 * * [simplify]: Extracting #1: cost 15 inf + 0 82.663 * * [simplify]: Extracting #2: cost 184 inf + 0 82.665 * * [simplify]: Extracting #3: cost 453 inf + 2 82.671 * * [simplify]: Extracting #4: cost 413 inf + 33428 82.715 * * [simplify]: Extracting #5: cost 27 inf + 148922 82.773 * * [simplify]: Extracting #6: cost 0 inf + 156614 82.810 * * [simplify]: Extracting #7: cost 0 inf + 154374 82.877 * [simplify]: Simplified to (- (log (sqrt k)) (* (+ (log (* n (* 2 PI))) (* (log (* n (* 2 PI))) (sqrt k))) (/ (- 1 (sqrt k)) 2))) 82.878 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (+ (log (* n (* 2 PI))) (* (log (* n (* 2 PI))) (sqrt k))) (/ (- 1 (sqrt k)) 2)))))) 82.878 * * * * [progress]: [ 114 / 209 ] simplifiying candidate # 82.878 * [simplify]: Simplifying (- (log (sqrt k)) (* (log (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) 82.878 * * [simplify]: iters left: 6 (17 enodes) 82.888 * * [simplify]: iters left: 5 (72 enodes) 82.903 * * [simplify]: iters left: 4 (139 enodes) 82.936 * * [simplify]: iters left: 3 (361 enodes) 83.114 * * [simplify]: Extracting #0: cost 1 inf + 0 83.114 * * [simplify]: Extracting #1: cost 16 inf + 0 83.115 * * [simplify]: Extracting #2: cost 138 inf + 0 83.116 * * [simplify]: Extracting #3: cost 385 inf + 2 83.120 * * [simplify]: Extracting #4: cost 364 inf + 29333 83.156 * * [simplify]: Extracting #5: cost 67 inf + 114340 83.199 * * [simplify]: Extracting #6: cost 20 inf + 124957 83.226 * * [simplify]: Extracting #7: cost 3 inf + 130476 83.264 * * [simplify]: Extracting #8: cost 0 inf + 132414 83.318 * [simplify]: Simplified to (- (log (sqrt k)) (* (* (/ (- 1 (sqrt k)) 2) (log (* n (* 2 PI)))) (+ (sqrt k) 1))) 83.319 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (* (/ (- 1 (sqrt k)) 2) (log (* n (* 2 PI)))) (+ (sqrt k) 1)))))) 83.319 * * * * [progress]: [ 115 / 209 ] simplifiying candidate # 83.319 * [simplify]: Simplifying (- (log (sqrt k)) (* (log (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) 83.319 * * [simplify]: iters left: 6 (17 enodes) 83.329 * * [simplify]: iters left: 5 (72 enodes) 83.350 * * [simplify]: iters left: 4 (139 enodes) 83.377 * * [simplify]: iters left: 3 (361 enodes) 83.641 * * [simplify]: Extracting #0: cost 1 inf + 0 83.641 * * [simplify]: Extracting #1: cost 16 inf + 0 83.642 * * [simplify]: Extracting #2: cost 138 inf + 0 83.643 * * [simplify]: Extracting #3: cost 385 inf + 2 83.647 * * [simplify]: Extracting #4: cost 364 inf + 29333 83.675 * * [simplify]: Extracting #5: cost 67 inf + 114340 83.709 * * [simplify]: Extracting #6: cost 20 inf + 124957 83.747 * * [simplify]: Extracting #7: cost 3 inf + 130476 83.773 * * [simplify]: Extracting #8: cost 0 inf + 132414 83.824 * [simplify]: Simplified to (- (log (sqrt k)) (* (* (/ (- 1 (sqrt k)) 2) (log (* n (* 2 PI)))) (+ (sqrt k) 1))) 83.824 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (* (/ (- 1 (sqrt k)) 2) (log (* n (* 2 PI)))) (+ (sqrt k) 1)))))) 83.824 * * * * [progress]: [ 116 / 209 ] simplifiying candidate # 83.825 * [simplify]: Simplifying (- (log (sqrt k)) (log (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 83.825 * * [simplify]: iters left: 6 (17 enodes) 83.834 * * [simplify]: iters left: 5 (72 enodes) 83.856 * * [simplify]: iters left: 4 (128 enodes) 83.882 * * [simplify]: iters left: 3 (270 enodes) 83.989 * * [simplify]: Extracting #0: cost 1 inf + 0 83.989 * * [simplify]: Extracting #1: cost 12 inf + 0 83.989 * * [simplify]: Extracting #2: cost 114 inf + 0 83.991 * * [simplify]: Extracting #3: cost 285 inf + 3 83.994 * * [simplify]: Extracting #4: cost 319 inf + 3695 84.002 * * [simplify]: Extracting #5: cost 217 inf + 26012 84.023 * * [simplify]: Extracting #6: cost 66 inf + 76050 84.058 * * [simplify]: Extracting #7: cost 5 inf + 104731 84.075 * * [simplify]: Extracting #8: cost 0 inf + 107326 84.094 * [simplify]: Simplified to (- (log (sqrt k)) (* (* (+ (sqrt k) 1) (/ (- 1 (sqrt k)) 2)) (log (* (* n PI) 2)))) 84.094 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (* (+ (sqrt k) 1) (/ (- 1 (sqrt k)) 2)) (log (* (* n PI) 2))))))) 84.094 * * * * [progress]: [ 117 / 209 ] simplifiying candidate # 84.094 * * * * [progress]: [ 118 / 209 ] simplifiying candidate # 84.094 * * * * [progress]: [ 119 / 209 ] simplifiying candidate # 84.094 * [simplify]: Simplifying (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 84.094 * * [simplify]: iters left: 6 (19 enodes) 84.100 * * [simplify]: iters left: 5 (83 enodes) 84.115 * * [simplify]: iters left: 4 (183 enodes) 84.198 * * [simplify]: iters left: 3 (468 enodes) 84.419 * * [simplify]: Extracting #0: cost 1 inf + 0 84.419 * * [simplify]: Extracting #1: cost 114 inf + 0 84.420 * * [simplify]: Extracting #2: cost 308 inf + 123 84.421 * * [simplify]: Extracting #3: cost 379 inf + 248 84.423 * * [simplify]: Extracting #4: cost 386 inf + 2668 84.442 * * [simplify]: Extracting #5: cost 243 inf + 114874 84.509 * * [simplify]: Extracting #6: cost 21 inf + 319286 84.558 * * [simplify]: Extracting #7: cost 0 inf + 334810 84.632 * * [simplify]: Extracting #8: cost 0 inf + 333348 84.708 * [simplify]: Simplified to (* (/ (sqrt k) (pow (pow (* (* 2 PI) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (/ (/ k (pow (pow (* (* 2 PI) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (pow (pow (* (* 2 PI) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))) 84.708 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (cbrt (* (/ (sqrt k) (pow (pow (* (* 2 PI) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (/ (/ k (pow (pow (* (* 2 PI) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (pow (pow (* (* 2 PI) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))))))) 84.708 * * * * [progress]: [ 120 / 209 ] simplifiying candidate # 84.708 * * * * [progress]: [ 121 / 209 ] simplifiying candidate # 84.708 * * * * [progress]: [ 122 / 209 ] simplifiying candidate # 84.708 * * * * [progress]: [ 123 / 209 ] simplifiying candidate # 84.708 * * * * [progress]: [ 124 / 209 ] simplifiying candidate # 84.709 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 84.709 * * [simplify]: iters left: 6 (14 enodes) 84.716 * * [simplify]: iters left: 5 (57 enodes) 84.726 * * [simplify]: iters left: 4 (96 enodes) 84.745 * * [simplify]: iters left: 3 (180 enodes) 84.808 * * [simplify]: iters left: 2 (393 enodes) 84.960 * * [simplify]: Extracting #0: cost 1 inf + 0 84.960 * * [simplify]: Extracting #1: cost 43 inf + 0 84.961 * * [simplify]: Extracting #2: cost 139 inf + 0 84.962 * * [simplify]: Extracting #3: cost 210 inf + 2 84.965 * * [simplify]: Extracting #4: cost 215 inf + 6319 84.975 * * [simplify]: Extracting #5: cost 152 inf + 43505 85.005 * * [simplify]: Extracting #6: cost 40 inf + 132516 85.052 * * [simplify]: Extracting #7: cost 5 inf + 159528 85.093 * * [simplify]: Extracting #8: cost 0 inf + 159908 85.122 * * [simplify]: Extracting #9: cost 0 inf + 159044 85.148 * [simplify]: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (pow n (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))) 85.148 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (pow n (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))) (/ (cbrt (sqrt k)) (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))) 85.149 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 85.149 * * [simplify]: iters left: 6 (14 enodes) 85.158 * * [simplify]: iters left: 5 (56 enodes) 85.176 * * [simplify]: iters left: 4 (92 enodes) 85.204 * * [simplify]: iters left: 3 (151 enodes) 85.235 * * [simplify]: iters left: 2 (284 enodes) 85.331 * * [simplify]: Extracting #0: cost 1 inf + 0 85.332 * * [simplify]: Extracting #1: cost 6 inf + 0 85.332 * * [simplify]: Extracting #2: cost 27 inf + 0 85.332 * * [simplify]: Extracting #3: cost 92 inf + 1 85.332 * * [simplify]: Extracting #4: cost 143 inf + 293 85.334 * * [simplify]: Extracting #5: cost 114 inf + 6284 85.337 * * [simplify]: Extracting #6: cost 60 inf + 25320 85.345 * * [simplify]: Extracting #7: cost 6 inf + 68943 85.353 * * [simplify]: Extracting #8: cost 0 inf + 72787 85.371 * * [simplify]: Extracting #9: cost 0 inf + 72223 85.388 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (pow (* 2 PI) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))) 85.388 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (/ (cbrt (sqrt k)) (pow (pow (* 2 PI) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))))) 85.389 * * * * [progress]: [ 125 / 209 ] simplifiying candidate # 85.389 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2))) 85.389 * * [simplify]: iters left: 6 (19 enodes) 85.400 * * [simplify]: iters left: 5 (76 enodes) 85.428 * * [simplify]: iters left: 4 (123 enodes) 85.458 * * [simplify]: iters left: 3 (212 enodes) 85.510 * * [simplify]: iters left: 2 (422 enodes) 85.654 * * [simplify]: Extracting #0: cost 1 inf + 0 85.655 * * [simplify]: Extracting #1: cost 42 inf + 0 85.655 * * [simplify]: Extracting #2: cost 137 inf + 0 85.657 * * [simplify]: Extracting #3: cost 195 inf + 2 85.659 * * [simplify]: Extracting #4: cost 179 inf + 2499 85.663 * * [simplify]: Extracting #5: cost 162 inf + 6955 85.665 * * [simplify]: Extracting #6: cost 198 inf + 7693 85.668 * * [simplify]: Extracting #7: cost 185 inf + 19143 85.681 * * [simplify]: Extracting #8: cost 85 inf + 103826 85.709 * * [simplify]: Extracting #9: cost 6 inf + 186818 85.745 * * [simplify]: Extracting #10: cost 0 inf + 193682 85.777 * [simplify]: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (cbrt (pow (* (* 2 PI) n) (+ 1 (sqrt k)))) (cbrt (pow (* (* 2 PI) n) (+ 1 (sqrt k))))) (/ (- 1 (sqrt k)) 2))) 85.777 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (cbrt (pow (* (* 2 PI) n) (+ 1 (sqrt k)))) (cbrt (pow (* (* 2 PI) n) (+ 1 (sqrt k))))) (/ (- 1 (sqrt k)) 2))) (/ (cbrt (sqrt k)) (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)))))) 85.778 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) 85.778 * * [simplify]: iters left: 6 (17 enodes) 85.783 * * [simplify]: iters left: 5 (68 enodes) 85.794 * * [simplify]: iters left: 4 (108 enodes) 85.811 * * [simplify]: iters left: 3 (177 enodes) 85.846 * * [simplify]: iters left: 2 (331 enodes) 85.913 * * [simplify]: Extracting #0: cost 1 inf + 0 85.913 * * [simplify]: Extracting #1: cost 6 inf + 0 85.913 * * [simplify]: Extracting #2: cost 27 inf + 0 85.913 * * [simplify]: Extracting #3: cost 88 inf + 1 85.913 * * [simplify]: Extracting #4: cost 119 inf + 49 85.914 * * [simplify]: Extracting #5: cost 138 inf + 2383 85.916 * * [simplify]: Extracting #6: cost 107 inf + 8930 85.919 * * [simplify]: Extracting #7: cost 75 inf + 18836 85.926 * * [simplify]: Extracting #8: cost 26 inf + 56354 85.936 * * [simplify]: Extracting #9: cost 0 inf + 80172 85.946 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (cbrt (pow (* n (* 2 PI)) (+ (sqrt k) 1))) (/ (- 1 (sqrt k)) 2))) 85.946 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2))) (/ (cbrt (sqrt k)) (pow (cbrt (pow (* n (* 2 PI)) (+ (sqrt k) 1))) (/ (- 1 (sqrt k)) 2)))))) 85.946 * * * * [progress]: [ 126 / 209 ] simplifiying candidate # 85.947 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) 85.947 * * [simplify]: iters left: 6 (18 enodes) 85.952 * * [simplify]: iters left: 5 (73 enodes) 85.964 * * [simplify]: iters left: 4 (125 enodes) 85.987 * * [simplify]: iters left: 3 (209 enodes) 86.025 * * [simplify]: iters left: 2 (401 enodes) 86.129 * * [simplify]: Extracting #0: cost 1 inf + 0 86.129 * * [simplify]: Extracting #1: cost 44 inf + 0 86.130 * * [simplify]: Extracting #2: cost 141 inf + 0 86.131 * * [simplify]: Extracting #3: cost 198 inf + 2 86.133 * * [simplify]: Extracting #4: cost 201 inf + 1844 86.136 * * [simplify]: Extracting #5: cost 207 inf + 6872 86.142 * * [simplify]: Extracting #6: cost 193 inf + 13189 86.153 * * [simplify]: Extracting #7: cost 78 inf + 109641 86.189 * * [simplify]: Extracting #8: cost 3 inf + 186551 86.217 * * [simplify]: Extracting #9: cost 0 inf + 186064 86.264 * * [simplify]: Extracting #10: cost 0 inf + 185933 86.308 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (/ (pow (sqrt (pow (* (* 2 PI) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (cbrt (sqrt k)))) 86.308 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (cbrt (sqrt k)) (/ (pow (sqrt (pow (* (* 2 PI) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (cbrt (sqrt k)))) (/ (cbrt (sqrt k)) (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)))))) 86.309 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) 86.309 * * [simplify]: iters left: 6 (17 enodes) 86.317 * * [simplify]: iters left: 5 (68 enodes) 86.338 * * [simplify]: iters left: 4 (109 enodes) 86.370 * * [simplify]: iters left: 3 (178 enodes) 86.415 * * [simplify]: iters left: 2 (332 enodes) 86.504 * * [simplify]: Extracting #0: cost 1 inf + 0 86.504 * * [simplify]: Extracting #1: cost 6 inf + 0 86.504 * * [simplify]: Extracting #2: cost 27 inf + 0 86.505 * * [simplify]: Extracting #3: cost 89 inf + 1 86.505 * * [simplify]: Extracting #4: cost 125 inf + 49 86.507 * * [simplify]: Extracting #5: cost 140 inf + 3326 86.512 * * [simplify]: Extracting #6: cost 104 inf + 9828 86.518 * * [simplify]: Extracting #7: cost 73 inf + 17804 86.531 * * [simplify]: Extracting #8: cost 19 inf + 60563 86.541 * * [simplify]: Extracting #9: cost 0 inf + 79477 86.550 * * [simplify]: Extracting #10: cost 0 inf + 79257 86.563 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (sqrt (pow (* n (* 2 PI)) (+ (sqrt k) 1))) (/ (- 1 (sqrt k)) 2))) 86.563 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) (/ (cbrt (sqrt k)) (pow (sqrt (pow (* n (* 2 PI)) (+ (sqrt k) 1))) (/ (- 1 (sqrt k)) 2)))))) 86.563 * * * * [progress]: [ 127 / 209 ] simplifiying candidate # 86.563 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 1 (/ (- 1 (sqrt k)) 2))) 86.564 * * [simplify]: iters left: 6 (10 enodes) 86.570 * * [simplify]: iters left: 5 (38 enodes) 86.582 * * [simplify]: iters left: 4 (51 enodes) 86.596 * * [simplify]: iters left: 3 (55 enodes) 86.614 * * [simplify]: iters left: 2 (56 enodes) 86.627 * * [simplify]: Extracting #0: cost 1 inf + 0 86.627 * * [simplify]: Extracting #1: cost 5 inf + 0 86.627 * * [simplify]: Extracting #2: cost 7 inf + 1 86.628 * * [simplify]: Extracting #3: cost 9 inf + 1 86.628 * * [simplify]: Extracting #4: cost 8 inf + 2 86.628 * * [simplify]: Extracting #5: cost 2 inf + 649 86.628 * * [simplify]: Extracting #6: cost 0 inf + 972 86.628 * [simplify]: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 86.629 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))) 86.629 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 86.629 * * [simplify]: iters left: 6 (16 enodes) 86.637 * * [simplify]: iters left: 5 (65 enodes) 86.659 * * [simplify]: iters left: 4 (109 enodes) 86.677 * * [simplify]: iters left: 3 (177 enodes) 86.727 * * [simplify]: iters left: 2 (315 enodes) 86.813 * * [simplify]: Extracting #0: cost 1 inf + 0 86.813 * * [simplify]: Extracting #1: cost 6 inf + 0 86.813 * * [simplify]: Extracting #2: cost 29 inf + 0 86.813 * * [simplify]: Extracting #3: cost 95 inf + 1 86.814 * * [simplify]: Extracting #4: cost 149 inf + 539 86.815 * * [simplify]: Extracting #5: cost 117 inf + 7530 86.819 * * [simplify]: Extracting #6: cost 58 inf + 28264 86.828 * * [simplify]: Extracting #7: cost 19 inf + 57409 86.837 * * [simplify]: Extracting #8: cost 1 inf + 74127 86.851 * * [simplify]: Extracting #9: cost 0 inf + 75204 86.869 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (pow (* n (* 2 PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))) 86.869 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (pow (* n (* 2 PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))))) 86.869 * * * * [progress]: [ 128 / 209 ] simplifiying candidate # 86.870 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2))) 86.870 * * [simplify]: iters left: 6 (18 enodes) 86.880 * * [simplify]: iters left: 5 (75 enodes) 86.901 * * [simplify]: iters left: 4 (127 enodes) 86.920 * * [simplify]: iters left: 3 (217 enodes) 86.991 * * [simplify]: iters left: 2 (421 enodes) 87.154 * * [simplify]: Extracting #0: cost 1 inf + 0 87.155 * * [simplify]: Extracting #1: cost 45 inf + 0 87.155 * * [simplify]: Extracting #2: cost 144 inf + 0 87.156 * * [simplify]: Extracting #3: cost 207 inf + 2 87.156 * * [simplify]: Extracting #4: cost 237 inf + 1271 87.158 * * [simplify]: Extracting #5: cost 224 inf + 5899 87.162 * * [simplify]: Extracting #6: cost 167 inf + 24418 87.185 * * [simplify]: Extracting #7: cost 76 inf + 102725 87.228 * * [simplify]: Extracting #8: cost 8 inf + 179599 87.263 * * [simplify]: Extracting #9: cost 0 inf + 188077 87.302 * * [simplify]: Extracting #10: cost 0 inf + 187626 87.344 * * [simplify]: Extracting #11: cost 0 inf + 187462 87.380 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (/ (pow (pow (* (* 2 PI) n) (* 1/2 (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (cbrt (sqrt k)))) 87.380 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (cbrt (sqrt k)) (/ (pow (pow (* (* 2 PI) n) (* 1/2 (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (cbrt (sqrt k)))) (/ (cbrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)))))) 87.380 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2))) 87.381 * * [simplify]: iters left: 6 (17 enodes) 87.390 * * [simplify]: iters left: 5 (70 enodes) 87.412 * * [simplify]: iters left: 4 (111 enodes) 87.435 * * [simplify]: iters left: 3 (184 enodes) 87.482 * * [simplify]: iters left: 2 (344 enodes) 87.579 * * [simplify]: Extracting #0: cost 1 inf + 0 87.579 * * [simplify]: Extracting #1: cost 6 inf + 0 87.579 * * [simplify]: Extracting #2: cost 27 inf + 0 87.579 * * [simplify]: Extracting #3: cost 97 inf + 1 87.580 * * [simplify]: Extracting #4: cost 149 inf + 661 87.583 * * [simplify]: Extracting #5: cost 139 inf + 4558 87.588 * * [simplify]: Extracting #6: cost 96 inf + 11375 87.598 * * [simplify]: Extracting #7: cost 46 inf + 36400 87.612 * * [simplify]: Extracting #8: cost 16 inf + 63355 87.621 * * [simplify]: Extracting #9: cost 1 inf + 78851 87.632 * * [simplify]: Extracting #10: cost 0 inf + 79595 87.645 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (pow (* 2 (* n PI)) (/ (+ (sqrt k) 1) 2)) (/ (- 1 (sqrt k)) 2))) 87.646 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2))) (/ (cbrt (sqrt k)) (pow (pow (* 2 (* n PI)) (/ (+ (sqrt k) 1) 2)) (/ (- 1 (sqrt k)) 2)))))) 87.646 * * * * [progress]: [ 129 / 209 ] simplifiying candidate # 87.646 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) 87.646 * * [simplify]: iters left: 6 (19 enodes) 87.651 * * [simplify]: iters left: 5 (80 enodes) 87.667 * * [simplify]: iters left: 4 (137 enodes) 87.709 * * [simplify]: iters left: 3 (204 enodes) 87.778 * * [simplify]: iters left: 2 (334 enodes) 87.870 * * [simplify]: Extracting #0: cost 1 inf + 0 87.870 * * [simplify]: Extracting #1: cost 11 inf + 0 87.870 * * [simplify]: Extracting #2: cost 22 inf + 0 87.870 * * [simplify]: Extracting #3: cost 37 inf + 0 87.871 * * [simplify]: Extracting #4: cost 85 inf + 43 87.872 * * [simplify]: Extracting #5: cost 146 inf + 734 87.874 * * [simplify]: Extracting #6: cost 127 inf + 5407 87.884 * * [simplify]: Extracting #7: cost 71 inf + 20401 87.893 * * [simplify]: Extracting #8: cost 23 inf + 53772 87.902 * * [simplify]: Extracting #9: cost 3 inf + 71480 87.912 * * [simplify]: Extracting #10: cost 0 inf + 74340 87.922 * [simplify]: Simplified to (* (/ (cbrt (sqrt k)) (cbrt (pow (pow (* (* 2 PI) n) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (pow (* (* 2 PI) n) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2)))))) 87.922 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (/ (cbrt (sqrt k)) (cbrt (pow (pow (* (* 2 PI) n) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (pow (* (* 2 PI) n) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))))) 87.922 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 87.923 * * [simplify]: iters left: 6 (17 enodes) 87.927 * * [simplify]: iters left: 5 (68 enodes) 87.941 * * [simplify]: iters left: 4 (106 enodes) 87.975 * * [simplify]: iters left: 3 (171 enodes) 88.017 * * [simplify]: iters left: 2 (316 enodes) 88.111 * * [simplify]: Extracting #0: cost 1 inf + 0 88.112 * * [simplify]: Extracting #1: cost 4 inf + 0 88.112 * * [simplify]: Extracting #2: cost 8 inf + 0 88.112 * * [simplify]: Extracting #3: cost 23 inf + 0 88.112 * * [simplify]: Extracting #4: cost 73 inf + 2 88.113 * * [simplify]: Extracting #5: cost 143 inf + 48 88.115 * * [simplify]: Extracting #6: cost 125 inf + 4640 88.123 * * [simplify]: Extracting #7: cost 44 inf + 32799 88.137 * * [simplify]: Extracting #8: cost 2 inf + 63793 88.153 * * [simplify]: Extracting #9: cost 0 inf + 65272 88.168 * * [simplify]: Extracting #10: cost 0 inf + 65141 88.177 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (pow (* n (* 2 PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))) 88.177 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (pow (* n (* 2 PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))))))) 88.177 * * * * [progress]: [ 130 / 209 ] simplifiying candidate # 88.177 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 88.177 * * [simplify]: iters left: 6 (18 enodes) 88.182 * * [simplify]: iters left: 5 (73 enodes) 88.195 * * [simplify]: iters left: 4 (120 enodes) 88.232 * * [simplify]: iters left: 3 (183 enodes) 88.270 * * [simplify]: iters left: 2 (310 enodes) 88.357 * * [simplify]: Extracting #0: cost 1 inf + 0 88.357 * * [simplify]: Extracting #1: cost 7 inf + 0 88.357 * * [simplify]: Extracting #2: cost 15 inf + 0 88.357 * * [simplify]: Extracting #3: cost 33 inf + 0 88.358 * * [simplify]: Extracting #4: cost 88 inf + 43 88.358 * * [simplify]: Extracting #5: cost 142 inf + 736 88.361 * * [simplify]: Extracting #6: cost 129 inf + 4588 88.363 * * [simplify]: Extracting #7: cost 86 inf + 10438 88.367 * * [simplify]: Extracting #8: cost 56 inf + 25168 88.374 * * [simplify]: Extracting #9: cost 2 inf + 69336 88.383 * * [simplify]: Extracting #10: cost 0 inf + 70646 88.392 * * [simplify]: Extracting #11: cost 0 inf + 70515 88.413 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (/ (sqrt (pow (pow (* (* 2 PI) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (cbrt (sqrt k)))) 88.413 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (cbrt (sqrt k)) (/ (sqrt (pow (pow (* (* 2 PI) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (cbrt (sqrt k)))) (/ (cbrt (sqrt k)) (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))))) 88.413 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 88.413 * * [simplify]: iters left: 6 (17 enodes) 88.422 * * [simplify]: iters left: 5 (68 enodes) 88.444 * * [simplify]: iters left: 4 (107 enodes) 88.463 * * [simplify]: iters left: 3 (172 enodes) 88.506 * * [simplify]: iters left: 2 (317 enodes) 88.583 * * [simplify]: Extracting #0: cost 1 inf + 0 88.583 * * [simplify]: Extracting #1: cost 4 inf + 0 88.583 * * [simplify]: Extracting #2: cost 9 inf + 0 88.583 * * [simplify]: Extracting #3: cost 28 inf + 0 88.583 * * [simplify]: Extracting #4: cost 86 inf + 43 88.583 * * [simplify]: Extracting #5: cost 135 inf + 783 88.585 * * [simplify]: Extracting #6: cost 109 inf + 6690 88.589 * * [simplify]: Extracting #7: cost 45 inf + 30813 88.597 * * [simplify]: Extracting #8: cost 5 inf + 59820 88.608 * * [simplify]: Extracting #9: cost 0 inf + 63783 88.616 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (pow (* (* n PI) 2) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))) 88.616 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (pow (* (* n PI) 2) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))))))) 88.616 * * * * [progress]: [ 131 / 209 ] simplifiying candidate # 88.617 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 88.617 * * [simplify]: iters left: 6 (6 enodes) 88.619 * * [simplify]: iters left: 5 (20 enodes) 88.623 * * [simplify]: iters left: 4 (30 enodes) 88.631 * * [simplify]: iters left: 3 (31 enodes) 88.639 * * [simplify]: Extracting #0: cost 1 inf + 0 88.639 * * [simplify]: Extracting #1: cost 5 inf + 0 88.639 * * [simplify]: Extracting #2: cost 7 inf + 1 88.639 * * [simplify]: Extracting #3: cost 9 inf + 1 88.639 * * [simplify]: Extracting #4: cost 8 inf + 2 88.639 * * [simplify]: Extracting #5: cost 0 inf + 972 88.639 * [simplify]: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 88.639 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))) 88.640 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 88.640 * * [simplify]: iters left: 6 (16 enodes) 88.648 * * [simplify]: iters left: 5 (65 enodes) 88.669 * * [simplify]: iters left: 4 (109 enodes) 88.687 * * [simplify]: iters left: 3 (177 enodes) 88.720 * * [simplify]: iters left: 2 (315 enodes) 88.808 * * [simplify]: Extracting #0: cost 1 inf + 0 88.808 * * [simplify]: Extracting #1: cost 6 inf + 0 88.808 * * [simplify]: Extracting #2: cost 29 inf + 0 88.809 * * [simplify]: Extracting #3: cost 95 inf + 1 88.810 * * [simplify]: Extracting #4: cost 149 inf + 539 88.813 * * [simplify]: Extracting #5: cost 117 inf + 7530 88.821 * * [simplify]: Extracting #6: cost 58 inf + 28264 88.832 * * [simplify]: Extracting #7: cost 19 inf + 57409 88.841 * * [simplify]: Extracting #8: cost 1 inf + 74127 88.850 * * [simplify]: Extracting #9: cost 0 inf + 75204 88.860 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (pow (* n (* 2 PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))) 88.860 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (pow (* n (* 2 PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))))) 88.860 * * * * [progress]: [ 132 / 209 ] simplifiying candidate # 88.860 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2))) 88.860 * * [simplify]: iters left: 6 (18 enodes) 88.865 * * [simplify]: iters left: 5 (76 enodes) 88.878 * * [simplify]: iters left: 4 (130 enodes) 88.908 * * [simplify]: iters left: 3 (230 enodes) 88.952 * * [simplify]: iters left: 2 (465 enodes) 89.101 * * [simplify]: Extracting #0: cost 1 inf + 0 89.102 * * [simplify]: Extracting #1: cost 44 inf + 0 89.102 * * [simplify]: Extracting #2: cost 141 inf + 0 89.103 * * [simplify]: Extracting #3: cost 214 inf + 2 89.104 * * [simplify]: Extracting #4: cost 243 inf + 2295 89.107 * * [simplify]: Extracting #5: cost 208 inf + 12459 89.123 * * [simplify]: Extracting #6: cost 105 inf + 78436 89.164 * * [simplify]: Extracting #7: cost 15 inf + 170323 89.200 * * [simplify]: Extracting #8: cost 0 inf + 180793 89.227 * * [simplify]: Extracting #9: cost 0 inf + 180531 89.264 * [simplify]: Simplified to (* (/ (cbrt (sqrt k)) (pow (pow (* (* 2 PI) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 8))) (/ (cbrt (sqrt k)) (pow (pow (* (* 2 PI) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 8)))) 89.264 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (/ (cbrt (sqrt k)) (pow (pow (* (* 2 PI) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 8))) (/ (cbrt (sqrt k)) (pow (pow (* (* 2 PI) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 8)))) (/ (cbrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)))))) 89.265 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2))) 89.265 * * [simplify]: iters left: 6 (17 enodes) 89.274 * * [simplify]: iters left: 5 (71 enodes) 89.296 * * [simplify]: iters left: 4 (115 enodes) 89.333 * * [simplify]: iters left: 3 (191 enodes) 89.401 * * [simplify]: iters left: 2 (360 enodes) 89.521 * * [simplify]: Extracting #0: cost 1 inf + 0 89.521 * * [simplify]: Extracting #1: cost 6 inf + 0 89.521 * * [simplify]: Extracting #2: cost 28 inf + 0 89.521 * * [simplify]: Extracting #3: cost 103 inf + 1 89.522 * * [simplify]: Extracting #4: cost 166 inf + 213 89.523 * * [simplify]: Extracting #5: cost 136 inf + 6839 89.527 * * [simplify]: Extracting #6: cost 77 inf + 20391 89.536 * * [simplify]: Extracting #7: cost 32 inf + 48506 89.550 * * [simplify]: Extracting #8: cost 3 inf + 73052 89.560 * * [simplify]: Extracting #9: cost 0 inf + 74991 89.573 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 4))) 89.573 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2))) (/ (cbrt (sqrt k)) (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 4)))))) 89.574 * * * * [progress]: [ 133 / 209 ] simplifiying candidate # 89.574 * [simplify]: Simplifying (/ (sqrt (* (cbrt k) (cbrt k))) (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 89.574 * * [simplify]: iters left: 6 (15 enodes) 89.578 * * [simplify]: iters left: 5 (59 enodes) 89.597 * * [simplify]: iters left: 4 (91 enodes) 89.626 * * [simplify]: iters left: 3 (155 enodes) 89.671 * * [simplify]: iters left: 2 (306 enodes) 89.750 * * [simplify]: Extracting #0: cost 1 inf + 0 89.750 * * [simplify]: Extracting #1: cost 6 inf + 0 89.750 * * [simplify]: Extracting #2: cost 29 inf + 0 89.751 * * [simplify]: Extracting #3: cost 98 inf + 1 89.752 * * [simplify]: Extracting #4: cost 149 inf + 332 89.753 * * [simplify]: Extracting #5: cost 159 inf + 1361 89.758 * * [simplify]: Extracting #6: cost 89 inf + 17818 89.770 * * [simplify]: Extracting #7: cost 22 inf + 54377 89.787 * * [simplify]: Extracting #8: cost 1 inf + 68420 89.808 * * [simplify]: Extracting #9: cost 0 inf + 68994 89.825 * * [simplify]: Extracting #10: cost 0 inf + 68863 89.842 * [simplify]: Simplified to (/ (fabs (cbrt k)) (pow (pow n (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) 89.843 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (fabs (cbrt k)) (pow (pow n (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt (cbrt k)) (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))) 89.843 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 89.843 * * [simplify]: iters left: 6 (15 enodes) 89.851 * * [simplify]: iters left: 5 (59 enodes) 89.868 * * [simplify]: iters left: 4 (91 enodes) 89.883 * * [simplify]: iters left: 3 (155 enodes) 89.922 * * [simplify]: iters left: 2 (306 enodes) 90.001 * * [simplify]: Extracting #0: cost 1 inf + 0 90.002 * * [simplify]: Extracting #1: cost 6 inf + 0 90.002 * * [simplify]: Extracting #2: cost 28 inf + 0 90.002 * * [simplify]: Extracting #3: cost 97 inf + 1 90.003 * * [simplify]: Extracting #4: cost 151 inf + 210 90.004 * * [simplify]: Extracting #5: cost 164 inf + 581 90.009 * * [simplify]: Extracting #6: cost 81 inf + 24210 90.020 * * [simplify]: Extracting #7: cost 37 inf + 42333 90.029 * * [simplify]: Extracting #8: cost 0 inf + 72453 90.039 * * [simplify]: Extracting #9: cost 0 inf + 72284 90.054 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (pow (pow (* 2 PI) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))) 90.054 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (fabs (cbrt k)) (pow (pow n (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt (cbrt k)) (pow (pow (* 2 PI) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))))) 90.055 * * * * [progress]: [ 134 / 209 ] simplifiying candidate # 90.055 * [simplify]: Simplifying (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2))) 90.055 * * [simplify]: iters left: 6 (20 enodes) 90.062 * * [simplify]: iters left: 5 (78 enodes) 90.074 * * [simplify]: iters left: 4 (122 enodes) 90.096 * * [simplify]: iters left: 3 (186 enodes) 90.162 * * [simplify]: iters left: 2 (319 enodes) 90.253 * * [simplify]: Extracting #0: cost 1 inf + 0 90.253 * * [simplify]: Extracting #1: cost 6 inf + 0 90.253 * * [simplify]: Extracting #2: cost 28 inf + 0 90.254 * * [simplify]: Extracting #3: cost 84 inf + 1 90.254 * * [simplify]: Extracting #4: cost 107 inf + 89 90.256 * * [simplify]: Extracting #5: cost 94 inf + 2785 90.259 * * [simplify]: Extracting #6: cost 104 inf + 6997 90.263 * * [simplify]: Extracting #7: cost 108 inf + 9014 90.269 * * [simplify]: Extracting #8: cost 73 inf + 19390 90.280 * * [simplify]: Extracting #9: cost 25 inf + 57656 90.291 * * [simplify]: Extracting #10: cost 3 inf + 80351 90.303 * * [simplify]: Extracting #11: cost 0 inf + 83333 90.319 * * [simplify]: Extracting #12: cost 0 inf + 83292 90.342 * [simplify]: Simplified to (/ (fabs (cbrt k)) (pow (* (cbrt (pow (* (* 2 PI) n) (+ (sqrt k) 1))) (cbrt (pow (* (* 2 PI) n) (+ (sqrt k) 1)))) (- 1/2 (/ (sqrt k) 2)))) 90.342 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (fabs (cbrt k)) (pow (* (cbrt (pow (* (* 2 PI) n) (+ (sqrt k) 1))) (cbrt (pow (* (* 2 PI) n) (+ (sqrt k) 1)))) (- 1/2 (/ (sqrt k) 2)))) (/ (sqrt (cbrt k)) (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)))))) 90.343 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) 90.343 * * [simplify]: iters left: 6 (18 enodes) 90.353 * * [simplify]: iters left: 5 (71 enodes) 90.379 * * [simplify]: iters left: 4 (115 enodes) 90.415 * * [simplify]: iters left: 3 (179 enodes) 90.475 * * [simplify]: iters left: 2 (312 enodes) 90.574 * * [simplify]: Extracting #0: cost 1 inf + 0 90.574 * * [simplify]: Extracting #1: cost 6 inf + 0 90.574 * * [simplify]: Extracting #2: cost 27 inf + 0 90.574 * * [simplify]: Extracting #3: cost 82 inf + 1 90.575 * * [simplify]: Extracting #4: cost 115 inf + 89 90.577 * * [simplify]: Extracting #5: cost 126 inf + 3195 90.580 * * [simplify]: Extracting #6: cost 111 inf + 7989 90.587 * * [simplify]: Extracting #7: cost 72 inf + 20824 90.601 * * [simplify]: Extracting #8: cost 22 inf + 58870 90.619 * * [simplify]: Extracting #9: cost 0 inf + 81335 90.632 * * [simplify]: Extracting #10: cost 0 inf + 80800 90.641 * * [simplify]: Extracting #11: cost 0 inf + 80456 90.656 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (pow (cbrt (pow (* n (* 2 PI)) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2))) 90.656 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt (cbrt k)) (pow (cbrt (pow (* n (* 2 PI)) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)))))) 90.657 * * * * [progress]: [ 135 / 209 ] simplifiying candidate # 90.657 * [simplify]: Simplifying (/ (sqrt (* (cbrt k) (cbrt k))) (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) 90.657 * * [simplify]: iters left: 6 (19 enodes) 90.667 * * [simplify]: iters left: 5 (75 enodes) 90.690 * * [simplify]: iters left: 4 (120 enodes) 90.728 * * [simplify]: iters left: 3 (188 enodes) 90.786 * * [simplify]: iters left: 2 (322 enodes) 90.857 * * [simplify]: Extracting #0: cost 1 inf + 0 90.857 * * [simplify]: Extracting #1: cost 6 inf + 0 90.857 * * [simplify]: Extracting #2: cost 28 inf + 0 90.857 * * [simplify]: Extracting #3: cost 86 inf + 1 90.857 * * [simplify]: Extracting #4: cost 120 inf + 170 90.858 * * [simplify]: Extracting #5: cost 135 inf + 3197 90.860 * * [simplify]: Extracting #6: cost 100 inf + 9872 90.864 * * [simplify]: Extracting #7: cost 60 inf + 25205 90.870 * * [simplify]: Extracting #8: cost 26 inf + 51876 90.888 * * [simplify]: Extracting #9: cost 4 inf + 73769 90.899 * * [simplify]: Extracting #10: cost 0 inf + 77416 90.909 * [simplify]: Simplified to (/ (fabs (cbrt k)) (pow (sqrt (pow (* (* 2 PI) n) (+ (sqrt k) 1))) (/ (- 1 (sqrt k)) 2))) 90.909 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (fabs (cbrt k)) (pow (sqrt (pow (* (* 2 PI) n) (+ (sqrt k) 1))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt (cbrt k)) (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)))))) 90.909 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) 90.909 * * [simplify]: iters left: 6 (18 enodes) 90.915 * * [simplify]: iters left: 5 (71 enodes) 90.927 * * [simplify]: iters left: 4 (116 enodes) 90.967 * * [simplify]: iters left: 3 (180 enodes) 91.025 * * [simplify]: iters left: 2 (313 enodes) 91.104 * * [simplify]: Extracting #0: cost 1 inf + 0 91.104 * * [simplify]: Extracting #1: cost 6 inf + 0 91.104 * * [simplify]: Extracting #2: cost 28 inf + 0 91.104 * * [simplify]: Extracting #3: cost 84 inf + 1 91.105 * * [simplify]: Extracting #4: cost 120 inf + 89 91.106 * * [simplify]: Extracting #5: cost 134 inf + 3278 91.108 * * [simplify]: Extracting #6: cost 109 inf + 8513 91.111 * * [simplify]: Extracting #7: cost 83 inf + 13209 91.116 * * [simplify]: Extracting #8: cost 29 inf + 52933 91.131 * * [simplify]: Extracting #9: cost 1 inf + 79390 91.150 * * [simplify]: Extracting #10: cost 0 inf + 79691 91.160 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (pow (sqrt (pow (* (* n PI) 2) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2))) 91.160 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (* (cbrt k) (cbrt k))) (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt (cbrt k)) (pow (sqrt (pow (* (* n PI) 2) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)))))) 91.161 * * * * [progress]: [ 136 / 209 ] simplifiying candidate # 91.163 * [simplify]: Simplifying (/ (sqrt (* (cbrt k) (cbrt k))) (pow 1 (/ (- 1 (sqrt k)) 2))) 91.164 * * [simplify]: iters left: 6 (11 enodes) 91.167 * * [simplify]: iters left: 5 (40 enodes) 91.174 * * [simplify]: iters left: 4 (49 enodes) 91.180 * * [simplify]: iters left: 3 (51 enodes) 91.188 * * [simplify]: Extracting #0: cost 1 inf + 0 91.188 * * [simplify]: Extracting #1: cost 5 inf + 0 91.188 * * [simplify]: Extracting #2: cost 7 inf + 1 91.188 * * [simplify]: Extracting #3: cost 6 inf + 2 91.188 * * [simplify]: Extracting #4: cost 1 inf + 527 91.188 * * [simplify]: Extracting #5: cost 0 inf + 648 91.189 * [simplify]: Simplified to (fabs (cbrt k)) 91.189 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (fabs (cbrt k)) (/ (sqrt (cbrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))) 91.189 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 91.189 * * [simplify]: iters left: 6 (17 enodes) 91.198 * * [simplify]: iters left: 5 (68 enodes) 91.219 * * [simplify]: iters left: 4 (108 enodes) 91.245 * * [simplify]: iters left: 3 (177 enodes) 91.300 * * [simplify]: iters left: 2 (331 enodes) 91.397 * * [simplify]: Extracting #0: cost 1 inf + 0 91.397 * * [simplify]: Extracting #1: cost 6 inf + 0 91.397 * * [simplify]: Extracting #2: cost 28 inf + 0 91.398 * * [simplify]: Extracting #3: cost 98 inf + 1 91.399 * * [simplify]: Extracting #4: cost 157 inf + 210 91.400 * * [simplify]: Extracting #5: cost 173 inf + 500 91.402 * * [simplify]: Extracting #6: cost 137 inf + 8427 91.410 * * [simplify]: Extracting #7: cost 61 inf + 32955 91.421 * * [simplify]: Extracting #8: cost 13 inf + 65402 91.431 * * [simplify]: Extracting #9: cost 0 inf + 76635 91.441 * * [simplify]: Extracting #10: cost 0 inf + 76553 91.450 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (pow (pow (* PI (* n 2)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) 91.450 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (fabs (cbrt k)) (/ (sqrt (cbrt k)) (pow (pow (* PI (* n 2)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))))) 91.450 * * * * [progress]: [ 137 / 209 ] simplifiying candidate # 91.451 * [simplify]: Simplifying (/ (sqrt (* (cbrt k) (cbrt k))) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2))) 91.451 * * [simplify]: iters left: 6 (19 enodes) 91.461 * * [simplify]: iters left: 5 (77 enodes) 91.485 * * [simplify]: iters left: 4 (122 enodes) 91.525 * * [simplify]: iters left: 3 (192 enodes) 91.558 * * [simplify]: iters left: 2 (338 enodes) 91.626 * * [simplify]: Extracting #0: cost 1 inf + 0 91.626 * * [simplify]: Extracting #1: cost 6 inf + 0 91.626 * * [simplify]: Extracting #2: cost 29 inf + 0 91.626 * * [simplify]: Extracting #3: cost 97 inf + 1 91.627 * * [simplify]: Extracting #4: cost 151 inf + 654 91.628 * * [simplify]: Extracting #5: cost 148 inf + 3649 91.631 * * [simplify]: Extracting #6: cost 78 inf + 21345 91.638 * * [simplify]: Extracting #7: cost 21 inf + 61407 91.657 * * [simplify]: Extracting #8: cost 0 inf + 82402 91.679 * * [simplify]: Extracting #9: cost 0 inf + 82050 91.702 * [simplify]: Simplified to (/ (fabs (cbrt k)) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt k) 1) 2)) (/ (- 1 (sqrt k)) 2))) 91.703 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (fabs (cbrt k)) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt k) 1) 2)) (/ (- 1 (sqrt k)) 2))) (/ (sqrt (cbrt k)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)))))) 91.703 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2))) 91.703 * * [simplify]: iters left: 6 (18 enodes) 91.712 * * [simplify]: iters left: 5 (73 enodes) 91.733 * * [simplify]: iters left: 4 (118 enodes) 91.769 * * [simplify]: iters left: 3 (188 enodes) 91.820 * * [simplify]: iters left: 2 (330 enodes) 91.927 * * [simplify]: Extracting #0: cost 1 inf + 0 91.927 * * [simplify]: Extracting #1: cost 6 inf + 0 91.927 * * [simplify]: Extracting #2: cost 27 inf + 0 91.927 * * [simplify]: Extracting #3: cost 92 inf + 1 91.928 * * [simplify]: Extracting #4: cost 150 inf + 331 91.928 * * [simplify]: Extracting #5: cost 169 inf + 583 91.929 * * [simplify]: Extracting #6: cost 145 inf + 3423 91.935 * * [simplify]: Extracting #7: cost 76 inf + 22593 91.943 * * [simplify]: Extracting #8: cost 19 inf + 62584 91.953 * * [simplify]: Extracting #9: cost 0 inf + 82410 91.964 * * [simplify]: Extracting #10: cost 0 inf + 82287 91.975 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (pow (pow (* n (* 2 PI)) (* 1/2 (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2))) 91.975 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (* (cbrt k) (cbrt k))) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2))) (/ (sqrt (cbrt k)) (pow (pow (* n (* 2 PI)) (* 1/2 (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)))))) 91.976 * * * * [progress]: [ 138 / 209 ] simplifiying candidate # 91.976 * [simplify]: Simplifying (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) 91.976 * * [simplify]: iters left: 6 (20 enodes) 91.982 * * [simplify]: iters left: 5 (80 enodes) 91.995 * * [simplify]: iters left: 4 (124 enodes) 92.037 * * [simplify]: iters left: 3 (184 enodes) 92.099 * * [simplify]: iters left: 2 (311 enodes) 92.193 * * [simplify]: Extracting #0: cost 1 inf + 0 92.193 * * [simplify]: Extracting #1: cost 6 inf + 0 92.193 * * [simplify]: Extracting #2: cost 13 inf + 0 92.193 * * [simplify]: Extracting #3: cost 28 inf + 0 92.193 * * [simplify]: Extracting #4: cost 75 inf + 164 92.194 * * [simplify]: Extracting #5: cost 141 inf + 652 92.195 * * [simplify]: Extracting #6: cost 128 inf + 4752 92.198 * * [simplify]: Extracting #7: cost 62 inf + 24495 92.206 * * [simplify]: Extracting #8: cost 5 inf + 65463 92.223 * * [simplify]: Extracting #9: cost 0 inf + 68254 92.233 * * [simplify]: Extracting #10: cost 0 inf + 68215 92.243 * [simplify]: Simplified to (/ (/ (fabs (cbrt k)) (cbrt (pow (pow (* (* 2 PI) n) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))) (cbrt (pow (pow (* (* 2 PI) n) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))) 92.243 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (/ (fabs (cbrt k)) (cbrt (pow (pow (* (* 2 PI) n) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))) (cbrt (pow (pow (* (* 2 PI) n) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))) (/ (sqrt (cbrt k)) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))))) 92.243 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 92.244 * * [simplify]: iters left: 6 (18 enodes) 92.248 * * [simplify]: iters left: 5 (71 enodes) 92.273 * * [simplify]: iters left: 4 (113 enodes) 92.309 * * [simplify]: iters left: 3 (173 enodes) 92.367 * * [simplify]: iters left: 2 (300 enodes) 92.474 * * [simplify]: Extracting #0: cost 1 inf + 0 92.474 * * [simplify]: Extracting #1: cost 4 inf + 0 92.474 * * [simplify]: Extracting #2: cost 8 inf + 0 92.474 * * [simplify]: Extracting #3: cost 23 inf + 0 92.474 * * [simplify]: Extracting #4: cost 70 inf + 2 92.474 * * [simplify]: Extracting #5: cost 138 inf + 87 92.475 * * [simplify]: Extracting #6: cost 153 inf + 462 92.476 * * [simplify]: Extracting #7: cost 104 inf + 10608 92.482 * * [simplify]: Extracting #8: cost 27 inf + 44722 92.489 * * [simplify]: Extracting #9: cost 2 inf + 61881 92.503 * * [simplify]: Extracting #10: cost 0 inf + 63351 92.512 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (cbrt (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))) 92.512 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) (/ (sqrt (cbrt k)) (cbrt (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))))))) 92.512 * * * * [progress]: [ 139 / 209 ] simplifiying candidate # 92.512 * [simplify]: Simplifying (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 92.512 * * [simplify]: iters left: 6 (19 enodes) 92.520 * * [simplify]: iters left: 5 (75 enodes) 92.532 * * [simplify]: iters left: 4 (114 enodes) 92.565 * * [simplify]: iters left: 3 (176 enodes) 92.623 * * [simplify]: iters left: 2 (319 enodes) 92.733 * * [simplify]: Extracting #0: cost 1 inf + 0 92.733 * * [simplify]: Extracting #1: cost 4 inf + 0 92.733 * * [simplify]: Extracting #2: cost 10 inf + 0 92.733 * * [simplify]: Extracting #3: cost 29 inf + 0 92.733 * * [simplify]: Extracting #4: cost 89 inf + 83 92.734 * * [simplify]: Extracting #5: cost 143 inf + 533 92.735 * * [simplify]: Extracting #6: cost 133 inf + 3813 92.738 * * [simplify]: Extracting #7: cost 66 inf + 18208 92.744 * * [simplify]: Extracting #8: cost 14 inf + 56347 92.757 * * [simplify]: Extracting #9: cost 0 inf + 68779 92.775 * [simplify]: Simplified to (/ (fabs (cbrt k)) (sqrt (pow (pow (* (* 2 PI) n) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))) 92.775 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (fabs (cbrt k)) (sqrt (pow (pow (* (* 2 PI) n) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))) (/ (sqrt (cbrt k)) (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))))) 92.776 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 92.776 * * [simplify]: iters left: 6 (18 enodes) 92.785 * * [simplify]: iters left: 5 (71 enodes) 92.807 * * [simplify]: iters left: 4 (114 enodes) 92.839 * * [simplify]: iters left: 3 (174 enodes) 92.894 * * [simplify]: iters left: 2 (301 enodes) 92.977 * * [simplify]: Extracting #0: cost 1 inf + 0 92.977 * * [simplify]: Extracting #1: cost 4 inf + 0 92.977 * * [simplify]: Extracting #2: cost 9 inf + 0 92.977 * * [simplify]: Extracting #3: cost 28 inf + 0 92.977 * * [simplify]: Extracting #4: cost 82 inf + 83 92.978 * * [simplify]: Extracting #5: cost 137 inf + 412 92.979 * * [simplify]: Extracting #6: cost 152 inf + 666 92.982 * * [simplify]: Extracting #7: cost 103 inf + 9782 92.990 * * [simplify]: Extracting #8: cost 41 inf + 32035 93.007 * * [simplify]: Extracting #9: cost 11 inf + 53129 93.023 * * [simplify]: Extracting #10: cost 0 inf + 64356 93.033 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (sqrt (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))) 93.033 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) (/ (sqrt (cbrt k)) (sqrt (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))))))) 93.033 * * * * [progress]: [ 140 / 209 ] simplifiying candidate # 93.033 * [simplify]: Simplifying (/ (sqrt (* (cbrt k) (cbrt k))) 1) 93.033 * * [simplify]: iters left: 6 (6 enodes) 93.035 * * [simplify]: iters left: 5 (19 enodes) 93.038 * * [simplify]: iters left: 4 (23 enodes) 93.041 * * [simplify]: Extracting #0: cost 1 inf + 0 93.041 * * [simplify]: Extracting #1: cost 5 inf + 0 93.041 * * [simplify]: Extracting #2: cost 7 inf + 1 93.041 * * [simplify]: Extracting #3: cost 6 inf + 2 93.042 * * [simplify]: Extracting #4: cost 0 inf + 648 93.042 * [simplify]: Simplified to (fabs (cbrt k)) 93.042 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (fabs (cbrt k)) (/ (sqrt (cbrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))) 93.042 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 93.042 * * [simplify]: iters left: 6 (17 enodes) 93.047 * * [simplify]: iters left: 5 (68 enodes) 93.059 * * [simplify]: iters left: 4 (108 enodes) 93.091 * * [simplify]: iters left: 3 (177 enodes) 93.131 * * [simplify]: iters left: 2 (331 enodes) 93.234 * * [simplify]: Extracting #0: cost 1 inf + 0 93.234 * * [simplify]: Extracting #1: cost 6 inf + 0 93.234 * * [simplify]: Extracting #2: cost 28 inf + 0 93.235 * * [simplify]: Extracting #3: cost 98 inf + 1 93.235 * * [simplify]: Extracting #4: cost 157 inf + 210 93.236 * * [simplify]: Extracting #5: cost 173 inf + 500 93.237 * * [simplify]: Extracting #6: cost 137 inf + 8427 93.244 * * [simplify]: Extracting #7: cost 61 inf + 32955 93.259 * * [simplify]: Extracting #8: cost 13 inf + 65402 93.278 * * [simplify]: Extracting #9: cost 0 inf + 76635 93.297 * * [simplify]: Extracting #10: cost 0 inf + 76553 93.316 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (pow (pow (* PI (* n 2)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) 93.316 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (fabs (cbrt k)) (/ (sqrt (cbrt k)) (pow (pow (* PI (* n 2)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))))) 93.317 * * * * [progress]: [ 141 / 209 ] simplifiying candidate # 93.317 * [simplify]: Simplifying (/ (sqrt (* (cbrt k) (cbrt k))) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2))) 93.317 * * [simplify]: iters left: 6 (19 enodes) 93.327 * * [simplify]: iters left: 5 (78 enodes) 93.341 * * [simplify]: iters left: 4 (125 enodes) 93.369 * * [simplify]: iters left: 3 (208 enodes) 93.416 * * [simplify]: iters left: 2 (389 enodes) 93.509 * * [simplify]: Extracting #0: cost 1 inf + 0 93.509 * * [simplify]: Extracting #1: cost 6 inf + 0 93.509 * * [simplify]: Extracting #2: cost 28 inf + 0 93.510 * * [simplify]: Extracting #3: cost 103 inf + 1 93.511 * * [simplify]: Extracting #4: cost 162 inf + 656 93.514 * * [simplify]: Extracting #5: cost 146 inf + 5534 93.520 * * [simplify]: Extracting #6: cost 82 inf + 17505 93.530 * * [simplify]: Extracting #7: cost 21 inf + 58769 93.540 * * [simplify]: Extracting #8: cost 0 inf + 76782 93.550 * * [simplify]: Extracting #9: cost 0 inf + 76260 93.570 * [simplify]: Simplified to (/ (fabs (cbrt k)) (pow (pow (* (* 2 PI) n) (+ (sqrt k) 1)) (* 1/4 (- 1 (sqrt k))))) 93.570 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (fabs (cbrt k)) (pow (pow (* (* 2 PI) n) (+ (sqrt k) 1)) (* 1/4 (- 1 (sqrt k))))) (/ (sqrt (cbrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)))))) 93.570 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2))) 93.571 * * [simplify]: iters left: 6 (18 enodes) 93.580 * * [simplify]: iters left: 5 (74 enodes) 93.604 * * [simplify]: iters left: 4 (121 enodes) 93.644 * * [simplify]: iters left: 3 (201 enodes) 93.691 * * [simplify]: iters left: 2 (379 enodes) 93.812 * * [simplify]: Extracting #0: cost 1 inf + 0 93.812 * * [simplify]: Extracting #1: cost 6 inf + 0 93.812 * * [simplify]: Extracting #2: cost 26 inf + 0 93.813 * * [simplify]: Extracting #3: cost 101 inf + 1 93.814 * * [simplify]: Extracting #4: cost 167 inf + 333 93.815 * * [simplify]: Extracting #5: cost 187 inf + 585 93.818 * * [simplify]: Extracting #6: cost 136 inf + 11790 93.823 * * [simplify]: Extracting #7: cost 61 inf + 32852 93.832 * * [simplify]: Extracting #8: cost 13 inf + 66880 93.843 * * [simplify]: Extracting #9: cost 0 inf + 79096 93.857 * * [simplify]: Extracting #10: cost 0 inf + 78966 93.867 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (- 1/4 (/ (sqrt k) 4)))) 93.867 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (* (cbrt k) (cbrt k))) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2))) (/ (sqrt (cbrt k)) (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (- 1/4 (/ (sqrt k) 4))))))) 93.868 * * * * [progress]: [ 142 / 209 ] simplifiying candidate # 93.868 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 93.868 * * [simplify]: iters left: 6 (13 enodes) 93.872 * * [simplify]: iters left: 5 (52 enodes) 93.887 * * [simplify]: iters left: 4 (84 enodes) 93.909 * * [simplify]: iters left: 3 (145 enodes) 93.938 * * [simplify]: iters left: 2 (294 enodes) 94.044 * * [simplify]: Extracting #0: cost 1 inf + 0 94.045 * * [simplify]: Extracting #1: cost 6 inf + 0 94.045 * * [simplify]: Extracting #2: cost 27 inf + 0 94.045 * * [simplify]: Extracting #3: cost 96 inf + 1 94.046 * * [simplify]: Extracting #4: cost 146 inf + 629 94.051 * * [simplify]: Extracting #5: cost 99 inf + 20197 94.064 * * [simplify]: Extracting #6: cost 27 inf + 55249 94.081 * * [simplify]: Extracting #7: cost 1 inf + 69643 94.101 * * [simplify]: Extracting #8: cost 0 inf + 70018 94.116 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (pow n (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))) 94.116 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (pow n (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))) (/ (sqrt (sqrt k)) (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))) 94.116 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 94.116 * * [simplify]: iters left: 6 (14 enodes) 94.121 * * [simplify]: iters left: 5 (56 enodes) 94.131 * * [simplify]: iters left: 4 (92 enodes) 94.146 * * [simplify]: iters left: 3 (151 enodes) 94.189 * * [simplify]: iters left: 2 (284 enodes) 94.302 * * [simplify]: Extracting #0: cost 1 inf + 0 94.302 * * [simplify]: Extracting #1: cost 6 inf + 0 94.302 * * [simplify]: Extracting #2: cost 27 inf + 0 94.303 * * [simplify]: Extracting #3: cost 92 inf + 1 94.303 * * [simplify]: Extracting #4: cost 143 inf + 253 94.306 * * [simplify]: Extracting #5: cost 114 inf + 6204 94.313 * * [simplify]: Extracting #6: cost 60 inf + 25120 94.329 * * [simplify]: Extracting #7: cost 6 inf + 68423 94.349 * * [simplify]: Extracting #8: cost 0 inf + 72187 94.358 * * [simplify]: Extracting #9: cost 0 inf + 71623 94.368 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (pow (* 2 PI) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))) 94.368 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (/ (sqrt (sqrt k)) (pow (pow (* 2 PI) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))))) 94.368 * * * * [progress]: [ 143 / 209 ] simplifiying candidate # 94.368 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2))) 94.369 * * [simplify]: iters left: 6 (18 enodes) 94.374 * * [simplify]: iters left: 5 (71 enodes) 94.385 * * [simplify]: iters left: 4 (115 enodes) 94.411 * * [simplify]: iters left: 3 (179 enodes) 94.450 * * [simplify]: iters left: 2 (312 enodes) 94.527 * * [simplify]: Extracting #0: cost 1 inf + 0 94.527 * * [simplify]: Extracting #1: cost 6 inf + 0 94.531 * * [simplify]: Extracting #2: cost 27 inf + 0 94.531 * * [simplify]: Extracting #3: cost 83 inf + 1 94.532 * * [simplify]: Extracting #4: cost 105 inf + 49 94.533 * * [simplify]: Extracting #5: cost 86 inf + 3892 94.536 * * [simplify]: Extracting #6: cost 105 inf + 6268 94.540 * * [simplify]: Extracting #7: cost 108 inf + 8569 94.548 * * [simplify]: Extracting #8: cost 60 inf + 29688 94.557 * * [simplify]: Extracting #9: cost 14 inf + 69872 94.569 * * [simplify]: Extracting #10: cost 0 inf + 84212 94.591 * * [simplify]: Extracting #11: cost 0 inf + 83606 94.605 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* (cbrt (pow (* n (* 2 PI)) (+ (sqrt k) 1))) (cbrt (pow (* n (* 2 PI)) (+ (sqrt k) 1)))) (/ (- 1 (sqrt k)) 2))) 94.605 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (* (cbrt (pow (* n (* 2 PI)) (+ (sqrt k) 1))) (cbrt (pow (* n (* 2 PI)) (+ (sqrt k) 1)))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt (sqrt k)) (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)))))) 94.605 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) 94.606 * * [simplify]: iters left: 6 (17 enodes) 94.610 * * [simplify]: iters left: 5 (68 enodes) 94.621 * * [simplify]: iters left: 4 (108 enodes) 94.655 * * [simplify]: iters left: 3 (177 enodes) 94.706 * * [simplify]: iters left: 2 (331 enodes) 94.795 * * [simplify]: Extracting #0: cost 1 inf + 0 94.795 * * [simplify]: Extracting #1: cost 6 inf + 0 94.795 * * [simplify]: Extracting #2: cost 27 inf + 0 94.796 * * [simplify]: Extracting #3: cost 88 inf + 1 94.796 * * [simplify]: Extracting #4: cost 119 inf + 49 94.798 * * [simplify]: Extracting #5: cost 138 inf + 2343 94.802 * * [simplify]: Extracting #6: cost 107 inf + 8850 94.808 * * [simplify]: Extracting #7: cost 75 inf + 18676 94.821 * * [simplify]: Extracting #8: cost 26 inf + 55794 94.840 * * [simplify]: Extracting #9: cost 0 inf + 79572 94.859 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (cbrt (pow (* n (* 2 PI)) (+ (sqrt k) 1))) (/ (- 1 (sqrt k)) 2))) 94.859 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt (sqrt k)) (pow (cbrt (pow (* n (* 2 PI)) (+ (sqrt k) 1))) (/ (- 1 (sqrt k)) 2)))))) 94.860 * * * * [progress]: [ 144 / 209 ] simplifiying candidate # 94.860 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) 94.860 * * [simplify]: iters left: 6 (17 enodes) 94.869 * * [simplify]: iters left: 5 (68 enodes) 94.885 * * [simplify]: iters left: 4 (109 enodes) 94.903 * * [simplify]: iters left: 3 (178 enodes) 94.946 * * [simplify]: iters left: 2 (332 enodes) 95.051 * * [simplify]: Extracting #0: cost 1 inf + 0 95.051 * * [simplify]: Extracting #1: cost 6 inf + 0 95.051 * * [simplify]: Extracting #2: cost 27 inf + 0 95.051 * * [simplify]: Extracting #3: cost 89 inf + 1 95.052 * * [simplify]: Extracting #4: cost 125 inf + 49 95.053 * * [simplify]: Extracting #5: cost 140 inf + 3286 95.055 * * [simplify]: Extracting #6: cost 104 inf + 9748 95.058 * * [simplify]: Extracting #7: cost 73 inf + 17684 95.065 * * [simplify]: Extracting #8: cost 19 inf + 60163 95.087 * * [simplify]: Extracting #9: cost 0 inf + 78877 95.105 * * [simplify]: Extracting #10: cost 0 inf + 78657 95.114 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (sqrt (pow (* n (* 2 PI)) (+ (sqrt k) 1))) (/ (- 1 (sqrt k)) 2))) 95.114 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (sqrt (pow (* n (* 2 PI)) (+ (sqrt k) 1))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt (sqrt k)) (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)))))) 95.115 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) 95.115 * * [simplify]: iters left: 6 (17 enodes) 95.120 * * [simplify]: iters left: 5 (68 enodes) 95.130 * * [simplify]: iters left: 4 (109 enodes) 95.159 * * [simplify]: iters left: 3 (178 enodes) 95.200 * * [simplify]: iters left: 2 (332 enodes) 95.298 * * [simplify]: Extracting #0: cost 1 inf + 0 95.298 * * [simplify]: Extracting #1: cost 6 inf + 0 95.298 * * [simplify]: Extracting #2: cost 27 inf + 0 95.298 * * [simplify]: Extracting #3: cost 89 inf + 1 95.298 * * [simplify]: Extracting #4: cost 125 inf + 49 95.299 * * [simplify]: Extracting #5: cost 140 inf + 3286 95.301 * * [simplify]: Extracting #6: cost 104 inf + 9748 95.304 * * [simplify]: Extracting #7: cost 73 inf + 17684 95.311 * * [simplify]: Extracting #8: cost 19 inf + 60163 95.320 * * [simplify]: Extracting #9: cost 0 inf + 78877 95.336 * * [simplify]: Extracting #10: cost 0 inf + 78657 95.357 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (sqrt (pow (* n (* 2 PI)) (+ (sqrt k) 1))) (/ (- 1 (sqrt k)) 2))) 95.357 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt (sqrt k)) (pow (sqrt (pow (* n (* 2 PI)) (+ (sqrt k) 1))) (/ (- 1 (sqrt k)) 2)))))) 95.357 * * * * [progress]: [ 145 / 209 ] simplifiying candidate # 95.357 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow 1 (/ (- 1 (sqrt k)) 2))) 95.357 * * [simplify]: iters left: 6 (9 enodes) 95.363 * * [simplify]: iters left: 5 (33 enodes) 95.373 * * [simplify]: iters left: 4 (42 enodes) 95.384 * * [simplify]: iters left: 3 (44 enodes) 95.395 * * [simplify]: Extracting #0: cost 1 inf + 0 95.395 * * [simplify]: Extracting #1: cost 4 inf + 0 95.395 * * [simplify]: Extracting #2: cost 5 inf + 1 95.395 * * [simplify]: Extracting #3: cost 4 inf + 2 95.395 * * [simplify]: Extracting #4: cost 1 inf + 165 95.395 * * [simplify]: Extracting #5: cost 0 inf + 246 95.395 * [simplify]: Simplified to (sqrt (sqrt k)) 95.395 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))) 95.396 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 95.396 * * [simplify]: iters left: 6 (16 enodes) 95.404 * * [simplify]: iters left: 5 (65 enodes) 95.430 * * [simplify]: iters left: 4 (109 enodes) 95.465 * * [simplify]: iters left: 3 (177 enodes) 95.512 * * [simplify]: iters left: 2 (315 enodes) 95.614 * * [simplify]: Extracting #0: cost 1 inf + 0 95.615 * * [simplify]: Extracting #1: cost 6 inf + 0 95.615 * * [simplify]: Extracting #2: cost 29 inf + 0 95.615 * * [simplify]: Extracting #3: cost 95 inf + 1 95.615 * * [simplify]: Extracting #4: cost 149 inf + 499 95.617 * * [simplify]: Extracting #5: cost 117 inf + 7450 95.621 * * [simplify]: Extracting #6: cost 58 inf + 28144 95.634 * * [simplify]: Extracting #7: cost 19 inf + 57089 95.651 * * [simplify]: Extracting #8: cost 1 inf + 73567 95.673 * * [simplify]: Extracting #9: cost 0 inf + 74604 95.690 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))) 95.690 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))))) 95.690 * * * * [progress]: [ 146 / 209 ] simplifiying candidate # 95.691 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2))) 95.691 * * [simplify]: iters left: 6 (17 enodes) 95.696 * * [simplify]: iters left: 5 (70 enodes) 95.707 * * [simplify]: iters left: 4 (111 enodes) 95.727 * * [simplify]: iters left: 3 (184 enodes) 95.792 * * [simplify]: iters left: 2 (344 enodes) 95.892 * * [simplify]: Extracting #0: cost 1 inf + 0 95.892 * * [simplify]: Extracting #1: cost 6 inf + 0 95.893 * * [simplify]: Extracting #2: cost 27 inf + 0 95.893 * * [simplify]: Extracting #3: cost 97 inf + 1 95.894 * * [simplify]: Extracting #4: cost 149 inf + 621 95.897 * * [simplify]: Extracting #5: cost 139 inf + 4478 95.901 * * [simplify]: Extracting #6: cost 96 inf + 11295 95.911 * * [simplify]: Extracting #7: cost 46 inf + 36240 95.926 * * [simplify]: Extracting #8: cost 16 inf + 62835 95.940 * * [simplify]: Extracting #9: cost 1 inf + 78251 95.951 * * [simplify]: Extracting #10: cost 0 inf + 78995 95.962 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (pow (* 2 (* n PI)) (/ (+ (sqrt k) 1) 2)) (/ (- 1 (sqrt k)) 2))) 95.962 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (pow (* 2 (* n PI)) (/ (+ (sqrt k) 1) 2)) (/ (- 1 (sqrt k)) 2))) (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)))))) 95.962 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2))) 95.962 * * [simplify]: iters left: 6 (17 enodes) 95.967 * * [simplify]: iters left: 5 (70 enodes) 95.978 * * [simplify]: iters left: 4 (111 enodes) 95.998 * * [simplify]: iters left: 3 (184 enodes) 96.029 * * [simplify]: iters left: 2 (344 enodes) 96.124 * * [simplify]: Extracting #0: cost 1 inf + 0 96.124 * * [simplify]: Extracting #1: cost 6 inf + 0 96.125 * * [simplify]: Extracting #2: cost 27 inf + 0 96.125 * * [simplify]: Extracting #3: cost 97 inf + 1 96.125 * * [simplify]: Extracting #4: cost 149 inf + 621 96.127 * * [simplify]: Extracting #5: cost 139 inf + 4478 96.132 * * [simplify]: Extracting #6: cost 96 inf + 11295 96.142 * * [simplify]: Extracting #7: cost 46 inf + 36240 96.157 * * [simplify]: Extracting #8: cost 16 inf + 62835 96.177 * * [simplify]: Extracting #9: cost 1 inf + 78251 96.197 * * [simplify]: Extracting #10: cost 0 inf + 78995 96.207 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (pow (* 2 (* n PI)) (/ (+ (sqrt k) 1) 2)) (/ (- 1 (sqrt k)) 2))) 96.207 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2))) (/ (sqrt (sqrt k)) (pow (pow (* 2 (* n PI)) (/ (+ (sqrt k) 1) 2)) (/ (- 1 (sqrt k)) 2)))))) 96.208 * * * * [progress]: [ 147 / 209 ] simplifiying candidate # 96.208 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) 96.208 * * [simplify]: iters left: 6 (18 enodes) 96.213 * * [simplify]: iters left: 5 (73 enodes) 96.225 * * [simplify]: iters left: 4 (113 enodes) 96.257 * * [simplify]: iters left: 3 (175 enodes) 96.294 * * [simplify]: iters left: 2 (318 enodes) 96.363 * * [simplify]: Extracting #0: cost 1 inf + 0 96.363 * * [simplify]: Extracting #1: cost 6 inf + 0 96.363 * * [simplify]: Extracting #2: cost 12 inf + 0 96.364 * * [simplify]: Extracting #3: cost 27 inf + 0 96.364 * * [simplify]: Extracting #4: cost 78 inf + 43 96.364 * * [simplify]: Extracting #5: cost 141 inf + 578 96.365 * * [simplify]: Extracting #6: cost 125 inf + 5167 96.370 * * [simplify]: Extracting #7: cost 82 inf + 11312 96.374 * * [simplify]: Extracting #8: cost 55 inf + 25472 96.387 * * [simplify]: Extracting #9: cost 13 inf + 59451 96.397 * * [simplify]: Extracting #10: cost 0 inf + 72554 96.406 * [simplify]: Simplified to (/ (/ (sqrt (sqrt k)) (cbrt (pow (pow (* (* n PI) 2) (+ (sqrt k) 1)) (- 1/2 (/ (sqrt k) 2))))) (cbrt (pow (pow (* (* n PI) 2) (+ (sqrt k) 1)) (- 1/2 (/ (sqrt k) 2))))) 96.407 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (/ (sqrt (sqrt k)) (cbrt (pow (pow (* (* n PI) 2) (+ (sqrt k) 1)) (- 1/2 (/ (sqrt k) 2))))) (cbrt (pow (pow (* (* n PI) 2) (+ (sqrt k) 1)) (- 1/2 (/ (sqrt k) 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))))) 96.408 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 96.408 * * [simplify]: iters left: 6 (17 enodes) 96.412 * * [simplify]: iters left: 5 (68 enodes) 96.423 * * [simplify]: iters left: 4 (106 enodes) 96.448 * * [simplify]: iters left: 3 (171 enodes) 96.481 * * [simplify]: iters left: 2 (316 enodes) 96.559 * * [simplify]: Extracting #0: cost 1 inf + 0 96.559 * * [simplify]: Extracting #1: cost 4 inf + 0 96.559 * * [simplify]: Extracting #2: cost 8 inf + 0 96.559 * * [simplify]: Extracting #3: cost 23 inf + 0 96.559 * * [simplify]: Extracting #4: cost 73 inf + 2 96.559 * * [simplify]: Extracting #5: cost 143 inf + 48 96.560 * * [simplify]: Extracting #6: cost 125 inf + 4600 96.564 * * [simplify]: Extracting #7: cost 44 inf + 32679 96.577 * * [simplify]: Extracting #8: cost 2 inf + 63633 96.594 * * [simplify]: Extracting #9: cost 0 inf + 65112 96.611 * * [simplify]: Extracting #10: cost 0 inf + 64981 96.628 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (pow (* n (* 2 PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))) 96.628 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (* (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (pow (* n (* 2 PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))))))) 96.628 * * * * [progress]: [ 148 / 209 ] simplifiying candidate # 96.629 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 96.629 * * [simplify]: iters left: 6 (17 enodes) 96.638 * * [simplify]: iters left: 5 (68 enodes) 96.659 * * [simplify]: iters left: 4 (107 enodes) 96.697 * * [simplify]: iters left: 3 (172 enodes) 96.729 * * [simplify]: iters left: 2 (317 enodes) 96.842 * * [simplify]: Extracting #0: cost 1 inf + 0 96.842 * * [simplify]: Extracting #1: cost 4 inf + 0 96.842 * * [simplify]: Extracting #2: cost 9 inf + 0 96.842 * * [simplify]: Extracting #3: cost 28 inf + 0 96.842 * * [simplify]: Extracting #4: cost 86 inf + 43 96.843 * * [simplify]: Extracting #5: cost 135 inf + 703 96.846 * * [simplify]: Extracting #6: cost 109 inf + 6610 96.854 * * [simplify]: Extracting #7: cost 45 inf + 30693 96.865 * * [simplify]: Extracting #8: cost 5 inf + 59660 96.874 * * [simplify]: Extracting #9: cost 0 inf + 63623 96.882 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (pow (* (* n PI) 2) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))) 96.883 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (pow (* (* n PI) 2) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))))) 96.883 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 96.883 * * [simplify]: iters left: 6 (17 enodes) 96.888 * * [simplify]: iters left: 5 (68 enodes) 96.908 * * [simplify]: iters left: 4 (107 enodes) 96.944 * * [simplify]: iters left: 3 (172 enodes) 96.975 * * [simplify]: iters left: 2 (317 enodes) 97.054 * * [simplify]: Extracting #0: cost 1 inf + 0 97.054 * * [simplify]: Extracting #1: cost 4 inf + 0 97.054 * * [simplify]: Extracting #2: cost 9 inf + 0 97.054 * * [simplify]: Extracting #3: cost 28 inf + 0 97.054 * * [simplify]: Extracting #4: cost 86 inf + 43 97.055 * * [simplify]: Extracting #5: cost 135 inf + 703 97.058 * * [simplify]: Extracting #6: cost 109 inf + 6610 97.066 * * [simplify]: Extracting #7: cost 45 inf + 30693 97.075 * * [simplify]: Extracting #8: cost 5 inf + 59660 97.084 * * [simplify]: Extracting #9: cost 0 inf + 63623 97.093 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (pow (* (* n PI) 2) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))) 97.093 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (pow (* (* n PI) 2) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))))))) 97.093 * * * * [progress]: [ 149 / 209 ] simplifiying candidate # 97.093 * [simplify]: Simplifying (/ (sqrt (sqrt k)) 1) 97.093 * * [simplify]: iters left: 4 (5 enodes) 97.095 * * [simplify]: iters left: 3 (15 enodes) 97.098 * * [simplify]: iters left: 2 (17 enodes) 97.103 * * [simplify]: Extracting #0: cost 1 inf + 0 97.103 * * [simplify]: Extracting #1: cost 4 inf + 0 97.103 * * [simplify]: Extracting #2: cost 5 inf + 1 97.103 * * [simplify]: Extracting #3: cost 4 inf + 2 97.103 * * [simplify]: Extracting #4: cost 1 inf + 165 97.104 * * [simplify]: Extracting #5: cost 0 inf + 246 97.104 * [simplify]: Simplified to (sqrt (sqrt k)) 97.104 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))) 97.104 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 97.104 * * [simplify]: iters left: 6 (16 enodes) 97.108 * * [simplify]: iters left: 5 (65 enodes) 97.129 * * [simplify]: iters left: 4 (109 enodes) 97.150 * * [simplify]: iters left: 3 (177 enodes) 97.196 * * [simplify]: iters left: 2 (315 enodes) 97.270 * * [simplify]: Extracting #0: cost 1 inf + 0 97.271 * * [simplify]: Extracting #1: cost 6 inf + 0 97.271 * * [simplify]: Extracting #2: cost 29 inf + 0 97.271 * * [simplify]: Extracting #3: cost 95 inf + 1 97.271 * * [simplify]: Extracting #4: cost 149 inf + 499 97.273 * * [simplify]: Extracting #5: cost 117 inf + 7450 97.277 * * [simplify]: Extracting #6: cost 58 inf + 28144 97.285 * * [simplify]: Extracting #7: cost 19 inf + 57089 97.305 * * [simplify]: Extracting #8: cost 1 inf + 73567 97.323 * * [simplify]: Extracting #9: cost 0 inf + 74604 97.338 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))) 97.338 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))))) 97.338 * * * * [progress]: [ 150 / 209 ] simplifiying candidate # 97.338 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2))) 97.338 * * [simplify]: iters left: 6 (17 enodes) 97.344 * * [simplify]: iters left: 5 (71 enodes) 97.356 * * [simplify]: iters left: 4 (115 enodes) 97.387 * * [simplify]: iters left: 3 (191 enodes) 97.459 * * [simplify]: iters left: 2 (360 enodes) 97.597 * * [simplify]: Extracting #0: cost 1 inf + 0 97.597 * * [simplify]: Extracting #1: cost 6 inf + 0 97.597 * * [simplify]: Extracting #2: cost 28 inf + 0 97.598 * * [simplify]: Extracting #3: cost 103 inf + 1 97.599 * * [simplify]: Extracting #4: cost 166 inf + 173 97.602 * * [simplify]: Extracting #5: cost 136 inf + 6759 97.609 * * [simplify]: Extracting #6: cost 77 inf + 20191 97.622 * * [simplify]: Extracting #7: cost 32 inf + 48106 97.641 * * [simplify]: Extracting #8: cost 3 inf + 72492 97.660 * * [simplify]: Extracting #9: cost 0 inf + 74391 97.680 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 4))) 97.680 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 4))) (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)))))) 97.681 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2))) 97.681 * * [simplify]: iters left: 6 (17 enodes) 97.690 * * [simplify]: iters left: 5 (71 enodes) 97.715 * * [simplify]: iters left: 4 (115 enodes) 97.733 * * [simplify]: iters left: 3 (191 enodes) 97.794 * * [simplify]: iters left: 2 (360 enodes) 97.906 * * [simplify]: Extracting #0: cost 1 inf + 0 97.907 * * [simplify]: Extracting #1: cost 6 inf + 0 97.907 * * [simplify]: Extracting #2: cost 28 inf + 0 97.907 * * [simplify]: Extracting #3: cost 103 inf + 1 97.908 * * [simplify]: Extracting #4: cost 166 inf + 173 97.911 * * [simplify]: Extracting #5: cost 136 inf + 6759 97.918 * * [simplify]: Extracting #6: cost 77 inf + 20191 97.925 * * [simplify]: Extracting #7: cost 32 inf + 48106 97.937 * * [simplify]: Extracting #8: cost 3 inf + 72492 97.957 * * [simplify]: Extracting #9: cost 0 inf + 74391 97.969 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 4))) 97.969 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2))) (/ (sqrt (sqrt k)) (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 4)))))) 97.969 * * * * [progress]: [ 151 / 209 ] simplifiying candidate # 97.970 * [simplify]: Simplifying (/ (sqrt 1) (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 97.970 * * [simplify]: iters left: 6 (13 enodes) 97.974 * * [simplify]: iters left: 5 (52 enodes) 97.982 * * [simplify]: iters left: 4 (84 enodes) 98.000 * * [simplify]: iters left: 3 (145 enodes) 98.030 * * [simplify]: iters left: 2 (294 enodes) 98.097 * * [simplify]: Extracting #0: cost 1 inf + 0 98.097 * * [simplify]: Extracting #1: cost 6 inf + 0 98.097 * * [simplify]: Extracting #2: cost 24 inf + 1 98.098 * * [simplify]: Extracting #3: cost 90 inf + 2 98.098 * * [simplify]: Extracting #4: cost 149 inf + 8 98.099 * * [simplify]: Extracting #5: cost 169 inf + 11 98.100 * * [simplify]: Extracting #6: cost 166 inf + 591 98.105 * * [simplify]: Extracting #7: cost 79 inf + 23822 98.123 * * [simplify]: Extracting #8: cost 8 inf + 65437 98.140 * * [simplify]: Extracting #9: cost 0 inf + 69336 98.157 * [simplify]: Simplified to (/ 1 (pow (pow n (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) 98.157 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow (pow n (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt k) (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))) 98.158 * [simplify]: Simplifying (/ (sqrt k) (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 98.158 * * [simplify]: iters left: 6 (13 enodes) 98.165 * * [simplify]: iters left: 5 (53 enodes) 98.182 * * [simplify]: iters left: 4 (85 enodes) 98.210 * * [simplify]: iters left: 3 (149 enodes) 98.248 * * [simplify]: iters left: 2 (300 enodes) 98.351 * * [simplify]: Extracting #0: cost 1 inf + 0 98.351 * * [simplify]: Extracting #1: cost 6 inf + 0 98.351 * * [simplify]: Extracting #2: cost 27 inf + 0 98.352 * * [simplify]: Extracting #3: cost 93 inf + 43 98.353 * * [simplify]: Extracting #4: cost 146 inf + 336 98.355 * * [simplify]: Extracting #5: cost 115 inf + 7517 98.361 * * [simplify]: Extracting #6: cost 59 inf + 30828 98.371 * * [simplify]: Extracting #7: cost 12 inf + 65740 98.380 * * [simplify]: Extracting #8: cost 0 inf + 73063 98.391 * [simplify]: Simplified to (/ (sqrt k) (pow (pow (* 2 PI) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))) 98.391 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow (pow n (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt k) (pow (pow (* 2 PI) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))))) 98.391 * * * * [progress]: [ 152 / 209 ] simplifiying candidate # 98.391 * [simplify]: Simplifying (/ (sqrt 1) (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2))) 98.392 * * [simplify]: iters left: 6 (18 enodes) 98.402 * * [simplify]: iters left: 5 (71 enodes) 98.413 * * [simplify]: iters left: 4 (115 enodes) 98.430 * * [simplify]: iters left: 3 (179 enodes) 98.484 * * [simplify]: iters left: 2 (312 enodes) 98.555 * * [simplify]: Extracting #0: cost 1 inf + 0 98.555 * * [simplify]: Extracting #1: cost 6 inf + 0 98.555 * * [simplify]: Extracting #2: cost 24 inf + 1 98.555 * * [simplify]: Extracting #3: cost 77 inf + 2 98.556 * * [simplify]: Extracting #4: cost 103 inf + 7 98.556 * * [simplify]: Extracting #5: cost 116 inf + 10 98.557 * * [simplify]: Extracting #6: cost 152 inf + 52 98.559 * * [simplify]: Extracting #7: cost 128 inf + 5544 98.566 * * [simplify]: Extracting #8: cost 66 inf + 27681 98.583 * * [simplify]: Extracting #9: cost 17 inf + 65173 98.606 * * [simplify]: Extracting #10: cost 0 inf + 82859 98.627 * [simplify]: Simplified to (/ 1 (pow (* (cbrt (pow (* n (* 2 PI)) (+ 1 (sqrt k)))) (cbrt (pow (* n (* 2 PI)) (+ 1 (sqrt k))))) (/ (- 1 (sqrt k)) 2))) 98.627 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow (* (cbrt (pow (* n (* 2 PI)) (+ 1 (sqrt k)))) (cbrt (pow (* n (* 2 PI)) (+ 1 (sqrt k))))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt k) (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)))))) 98.628 * [simplify]: Simplifying (/ (sqrt k) (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) 98.628 * * [simplify]: iters left: 6 (16 enodes) 98.632 * * [simplify]: iters left: 5 (65 enodes) 98.643 * * [simplify]: iters left: 4 (105 enodes) 98.664 * * [simplify]: iters left: 3 (175 enodes) 98.706 * * [simplify]: iters left: 2 (329 enodes) 98.805 * * [simplify]: Extracting #0: cost 1 inf + 0 98.805 * * [simplify]: Extracting #1: cost 6 inf + 0 98.805 * * [simplify]: Extracting #2: cost 27 inf + 0 98.805 * * [simplify]: Extracting #3: cost 81 inf + 84 98.806 * * [simplify]: Extracting #4: cost 114 inf + 172 98.808 * * [simplify]: Extracting #5: cost 121 inf + 4225 98.812 * * [simplify]: Extracting #6: cost 109 inf + 8408 98.819 * * [simplify]: Extracting #7: cost 65 inf + 24355 98.828 * * [simplify]: Extracting #8: cost 18 inf + 60309 98.837 * * [simplify]: Extracting #9: cost 1 inf + 77610 98.847 * * [simplify]: Extracting #10: cost 0 inf + 78597 98.860 * [simplify]: Simplified to (/ (sqrt k) (pow (cbrt (pow (* n (* 2 PI)) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2))) 98.860 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt 1) (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt k) (pow (cbrt (pow (* n (* 2 PI)) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)))))) 98.860 * * * * [progress]: [ 153 / 209 ] simplifiying candidate # 98.861 * [simplify]: Simplifying (/ (sqrt 1) (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) 98.861 * * [simplify]: iters left: 6 (17 enodes) 98.869 * * [simplify]: iters left: 5 (68 enodes) 98.883 * * [simplify]: iters left: 4 (109 enodes) 98.902 * * [simplify]: iters left: 3 (178 enodes) 98.946 * * [simplify]: iters left: 2 (332 enodes) 99.043 * * [simplify]: Extracting #0: cost 1 inf + 0 99.043 * * [simplify]: Extracting #1: cost 6 inf + 0 99.043 * * [simplify]: Extracting #2: cost 24 inf + 1 99.044 * * [simplify]: Extracting #3: cost 83 inf + 2 99.044 * * [simplify]: Extracting #4: cost 123 inf + 7 99.044 * * [simplify]: Extracting #5: cost 168 inf + 10 99.045 * * [simplify]: Extracting #6: cost 177 inf + 179 99.046 * * [simplify]: Extracting #7: cost 134 inf + 6478 99.050 * * [simplify]: Extracting #8: cost 62 inf + 34177 99.060 * * [simplify]: Extracting #9: cost 4 inf + 74945 99.076 * * [simplify]: Extracting #10: cost 0 inf + 77368 99.093 * [simplify]: Simplified to (/ 1 (pow (sqrt (pow (* n (* 2 PI)) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2))) 99.093 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow (sqrt (pow (* n (* 2 PI)) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt k) (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)))))) 99.093 * [simplify]: Simplifying (/ (sqrt k) (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) 99.093 * * [simplify]: iters left: 6 (16 enodes) 99.098 * * [simplify]: iters left: 5 (65 enodes) 99.109 * * [simplify]: iters left: 4 (106 enodes) 99.129 * * [simplify]: iters left: 3 (175 enodes) 99.162 * * [simplify]: iters left: 2 (326 enodes) 99.248 * * [simplify]: Extracting #0: cost 1 inf + 0 99.248 * * [simplify]: Extracting #1: cost 6 inf + 0 99.248 * * [simplify]: Extracting #2: cost 27 inf + 0 99.249 * * [simplify]: Extracting #3: cost 84 inf + 84 99.249 * * [simplify]: Extracting #4: cost 117 inf + 295 99.252 * * [simplify]: Extracting #5: cost 127 inf + 4351 99.257 * * [simplify]: Extracting #6: cost 103 inf + 9715 99.265 * * [simplify]: Extracting #7: cost 54 inf + 29809 99.281 * * [simplify]: Extracting #8: cost 13 inf + 65201 99.291 * * [simplify]: Extracting #9: cost 0 inf + 78888 99.301 * * [simplify]: Extracting #10: cost 0 inf + 78847 99.315 * [simplify]: Simplified to (/ (sqrt k) (pow (sqrt (pow (* n (* 2 PI)) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2))) 99.315 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt 1) (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt k) (pow (sqrt (pow (* n (* 2 PI)) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)))))) 99.315 * * * * [progress]: [ 154 / 209 ] simplifiying candidate # 99.316 * [simplify]: Simplifying (/ (sqrt 1) (pow 1 (/ (- 1 (sqrt k)) 2))) 99.316 * * [simplify]: iters left: 6 (9 enodes) 99.322 * * [simplify]: iters left: 5 (33 enodes) 99.329 * * [simplify]: iters left: 4 (42 enodes) 99.335 * * [simplify]: Extracting #0: cost 1 inf + 0 99.335 * * [simplify]: Extracting #1: cost 0 inf + 1 99.335 * [simplify]: Simplified to 1 99.335 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))) 99.335 * [simplify]: Simplifying (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 99.335 * * [simplify]: iters left: 6 (15 enodes) 99.339 * * [simplify]: iters left: 5 (62 enodes) 99.349 * * [simplify]: iters left: 4 (102 enodes) 99.371 * * [simplify]: iters left: 3 (171 enodes) 99.410 * * [simplify]: iters left: 2 (325 enodes) 99.529 * * [simplify]: Extracting #0: cost 1 inf + 0 99.529 * * [simplify]: Extracting #1: cost 6 inf + 0 99.530 * * [simplify]: Extracting #2: cost 27 inf + 0 99.530 * * [simplify]: Extracting #3: cost 92 inf + 43 99.531 * * [simplify]: Extracting #4: cost 150 inf + 254 99.534 * * [simplify]: Extracting #5: cost 123 inf + 6029 99.540 * * [simplify]: Extracting #6: cost 76 inf + 16466 99.553 * * [simplify]: Extracting #7: cost 19 inf + 56560 99.571 * * [simplify]: Extracting #8: cost 0 inf + 73844 99.590 * [simplify]: Simplified to (/ (sqrt k) (pow (pow (* PI (* n 2)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) 99.590 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))))) 99.590 * * * * [progress]: [ 155 / 209 ] simplifiying candidate # 99.591 * [simplify]: Simplifying (/ (sqrt 1) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2))) 99.591 * * [simplify]: iters left: 6 (17 enodes) 99.602 * * [simplify]: iters left: 5 (70 enodes) 99.620 * * [simplify]: iters left: 4 (111 enodes) 99.654 * * [simplify]: iters left: 3 (184 enodes) 99.716 * * [simplify]: iters left: 2 (344 enodes) 99.815 * * [simplify]: Extracting #0: cost 1 inf + 0 99.815 * * [simplify]: Extracting #1: cost 6 inf + 0 99.815 * * [simplify]: Extracting #2: cost 25 inf + 1 99.815 * * [simplify]: Extracting #3: cost 91 inf + 2 99.816 * * [simplify]: Extracting #4: cost 152 inf + 7 99.817 * * [simplify]: Extracting #5: cost 174 inf + 179 99.819 * * [simplify]: Extracting #6: cost 153 inf + 2479 99.823 * * [simplify]: Extracting #7: cost 102 inf + 9812 99.831 * * [simplify]: Extracting #8: cost 46 inf + 35575 99.839 * * [simplify]: Extracting #9: cost 10 inf + 67335 99.854 * * [simplify]: Extracting #10: cost 0 inf + 77758 99.864 * * [simplify]: Extracting #11: cost 0 inf + 77406 99.875 * [simplify]: Simplified to (/ 1 (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 2)) (/ (- 1 (sqrt k)) 2))) 99.875 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 2)) (/ (- 1 (sqrt k)) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)))))) 99.875 * [simplify]: Simplifying (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2))) 99.875 * * [simplify]: iters left: 6 (16 enodes) 99.881 * * [simplify]: iters left: 5 (67 enodes) 99.901 * * [simplify]: iters left: 4 (112 enodes) 99.937 * * [simplify]: iters left: 3 (185 enodes) 99.982 * * [simplify]: iters left: 2 (328 enodes) 100.445 * * [simplify]: Extracting #0: cost 1 inf + 0 100.445 * * [simplify]: Extracting #1: cost 6 inf + 0 100.445 * * [simplify]: Extracting #2: cost 28 inf + 0 100.446 * * [simplify]: Extracting #3: cost 89 inf + 43 100.447 * * [simplify]: Extracting #4: cost 147 inf + 418 100.449 * * [simplify]: Extracting #5: cost 135 inf + 5087 100.454 * * [simplify]: Extracting #6: cost 96 inf + 10504 100.463 * * [simplify]: Extracting #7: cost 51 inf + 35360 100.480 * * [simplify]: Extracting #8: cost 16 inf + 65151 100.501 * * [simplify]: Extracting #9: cost 0 inf + 81452 100.522 * * [simplify]: Extracting #10: cost 0 inf + 81059 100.543 * [simplify]: Simplified to (/ (sqrt k) (pow (pow (* (* n 2) PI) (* 1/2 (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2))) 100.543 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt 1) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2))) (/ (sqrt k) (pow (pow (* (* n 2) PI) (* 1/2 (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)))))) 100.544 * * * * [progress]: [ 156 / 209 ] simplifiying candidate # 100.544 * [simplify]: Simplifying (/ (sqrt 1) (* (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) 100.544 * * [simplify]: iters left: 6 (18 enodes) 100.554 * * [simplify]: iters left: 5 (73 enodes) 100.570 * * [simplify]: iters left: 4 (116 enodes) 100.590 * * [simplify]: iters left: 3 (180 enodes) 100.639 * * [simplify]: iters left: 2 (323 enodes) 100.715 * * [simplify]: Extracting #0: cost 1 inf + 0 100.715 * * [simplify]: Extracting #1: cost 7 inf + 0 100.715 * * [simplify]: Extracting #2: cost 11 inf + 1 100.715 * * [simplify]: Extracting #3: cost 24 inf + 1 100.716 * * [simplify]: Extracting #4: cost 72 inf + 2 100.716 * * [simplify]: Extracting #5: cost 144 inf + 5 100.716 * * [simplify]: Extracting #6: cost 164 inf + 137 100.717 * * [simplify]: Extracting #7: cost 160 inf + 429 100.719 * * [simplify]: Extracting #8: cost 104 inf + 12981 100.727 * * [simplify]: Extracting #9: cost 28 inf + 47699 100.744 * * [simplify]: Extracting #10: cost 0 inf + 70762 100.762 * * [simplify]: Extracting #11: cost 0 inf + 70371 100.780 * [simplify]: Simplified to (/ (/ 1 (cbrt (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))) (cbrt (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))) 100.780 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (/ 1 (cbrt (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))) (cbrt (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))) (/ (sqrt k) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))))) 100.781 * [simplify]: Simplifying (/ (sqrt k) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 100.781 * * [simplify]: iters left: 6 (16 enodes) 100.792 * * [simplify]: iters left: 5 (65 enodes) 100.813 * * [simplify]: iters left: 4 (103 enodes) 100.846 * * [simplify]: iters left: 3 (169 enodes) 100.906 * * [simplify]: iters left: 2 (314 enodes) 101.005 * * [simplify]: Extracting #0: cost 1 inf + 0 101.005 * * [simplify]: Extracting #1: cost 4 inf + 0 101.005 * * [simplify]: Extracting #2: cost 8 inf + 0 101.005 * * [simplify]: Extracting #3: cost 19 inf + 1 101.005 * * [simplify]: Extracting #4: cost 71 inf + 84 101.005 * * [simplify]: Extracting #5: cost 138 inf + 171 101.007 * * [simplify]: Extracting #6: cost 112 inf + 7374 101.011 * * [simplify]: Extracting #7: cost 41 inf + 34695 101.024 * * [simplify]: Extracting #8: cost 3 inf + 64864 101.042 * * [simplify]: Extracting #9: cost 0 inf + 66972 101.053 * [simplify]: Simplified to (/ (sqrt k) (cbrt (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))) 101.053 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt 1) (* (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) (/ (sqrt k) (cbrt (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))))))) 101.054 * * * * [progress]: [ 157 / 209 ] simplifiying candidate # 101.054 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 101.054 * * [simplify]: iters left: 6 (17 enodes) 101.059 * * [simplify]: iters left: 5 (68 enodes) 101.071 * * [simplify]: iters left: 4 (107 enodes) 101.106 * * [simplify]: iters left: 3 (172 enodes) 101.167 * * [simplify]: iters left: 2 (317 enodes) 101.251 * * [simplify]: Extracting #0: cost 1 inf + 0 101.251 * * [simplify]: Extracting #1: cost 4 inf + 0 101.251 * * [simplify]: Extracting #2: cost 6 inf + 1 101.251 * * [simplify]: Extracting #3: cost 23 inf + 1 101.251 * * [simplify]: Extracting #4: cost 83 inf + 2 101.252 * * [simplify]: Extracting #5: cost 141 inf + 7 101.253 * * [simplify]: Extracting #6: cost 160 inf + 137 101.254 * * [simplify]: Extracting #7: cost 154 inf + 554 101.258 * * [simplify]: Extracting #8: cost 99 inf + 10224 101.268 * * [simplify]: Extracting #9: cost 27 inf + 40920 101.283 * * [simplify]: Extracting #10: cost 2 inf + 62725 101.292 * * [simplify]: Extracting #11: cost 0 inf + 64549 101.301 * [simplify]: Simplified to (/ 1 (sqrt (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))) 101.301 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))) (/ (sqrt k) (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))))) 101.301 * [simplify]: Simplifying (/ (sqrt k) (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 101.301 * * [simplify]: iters left: 6 (16 enodes) 101.306 * * [simplify]: iters left: 5 (65 enodes) 101.327 * * [simplify]: iters left: 4 (104 enodes) 101.360 * * [simplify]: iters left: 3 (169 enodes) 101.422 * * [simplify]: iters left: 2 (314 enodes) 101.481 * * [simplify]: Extracting #0: cost 1 inf + 0 101.481 * * [simplify]: Extracting #1: cost 4 inf + 0 101.482 * * [simplify]: Extracting #2: cost 9 inf + 0 101.482 * * [simplify]: Extracting #3: cost 24 inf + 1 101.484 * * [simplify]: Extracting #4: cost 85 inf + 84 101.485 * * [simplify]: Extracting #5: cost 133 inf + 1237 101.486 * * [simplify]: Extracting #6: cost 108 inf + 7852 101.491 * * [simplify]: Extracting #7: cost 35 inf + 40114 101.499 * * [simplify]: Extracting #8: cost 4 inf + 65087 101.508 * * [simplify]: Extracting #9: cost 0 inf + 68233 101.517 * [simplify]: Simplified to (/ (sqrt k) (sqrt (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2))))) 101.517 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt 1) (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) (/ (sqrt k) (sqrt (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2)))))))) 101.517 * * * * [progress]: [ 158 / 209 ] simplifiying candidate # 101.517 * [simplify]: Simplifying (/ (sqrt 1) 1) 101.517 * * [simplify]: iters left: 3 (3 enodes) 101.520 * * [simplify]: iters left: 2 (9 enodes) 101.521 * * [simplify]: iters left: 1 (11 enodes) 101.523 * * [simplify]: Extracting #0: cost 1 inf + 0 101.523 * * [simplify]: Extracting #1: cost 0 inf + 1 101.523 * [simplify]: Simplified to 1 101.523 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))) 101.523 * [simplify]: Simplifying (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 101.523 * * [simplify]: iters left: 6 (15 enodes) 101.529 * * [simplify]: iters left: 5 (62 enodes) 101.548 * * [simplify]: iters left: 4 (102 enodes) 101.581 * * [simplify]: iters left: 3 (171 enodes) 101.643 * * [simplify]: iters left: 2 (325 enodes) 101.758 * * [simplify]: Extracting #0: cost 1 inf + 0 101.758 * * [simplify]: Extracting #1: cost 6 inf + 0 101.758 * * [simplify]: Extracting #2: cost 27 inf + 0 101.759 * * [simplify]: Extracting #3: cost 92 inf + 43 101.759 * * [simplify]: Extracting #4: cost 150 inf + 254 101.760 * * [simplify]: Extracting #5: cost 123 inf + 6029 101.763 * * [simplify]: Extracting #6: cost 76 inf + 16466 101.770 * * [simplify]: Extracting #7: cost 19 inf + 56560 101.778 * * [simplify]: Extracting #8: cost 0 inf + 73844 101.787 * [simplify]: Simplified to (/ (sqrt k) (pow (pow (* PI (* n 2)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) 101.788 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))))) 101.788 * * * * [progress]: [ 159 / 209 ] simplifiying candidate # 101.788 * [simplify]: Simplifying (/ (sqrt 1) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2))) 101.788 * * [simplify]: iters left: 6 (17 enodes) 101.794 * * [simplify]: iters left: 5 (71 enodes) 101.805 * * [simplify]: iters left: 4 (115 enodes) 101.828 * * [simplify]: iters left: 3 (191 enodes) 101.894 * * [simplify]: iters left: 2 (359 enodes) 102.028 * * [simplify]: Extracting #0: cost 1 inf + 0 102.028 * * [simplify]: Extracting #1: cost 6 inf + 0 102.028 * * [simplify]: Extracting #2: cost 25 inf + 1 102.028 * * [simplify]: Extracting #3: cost 99 inf + 2 102.029 * * [simplify]: Extracting #4: cost 168 inf + 9 102.030 * * [simplify]: Extracting #5: cost 190 inf + 139 102.031 * * [simplify]: Extracting #6: cost 151 inf + 8191 102.037 * * [simplify]: Extracting #7: cost 46 inf + 47147 102.046 * * [simplify]: Extracting #8: cost 15 inf + 63952 102.057 * * [simplify]: Extracting #9: cost 0 inf + 74447 102.070 * * [simplify]: Extracting #10: cost 0 inf + 74014 102.081 * [simplify]: Simplified to (/ 1 (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 4))) 102.081 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 4))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)))))) 102.081 * [simplify]: Simplifying (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2))) 102.081 * * [simplify]: iters left: 6 (16 enodes) 102.086 * * [simplify]: iters left: 5 (68 enodes) 102.097 * * [simplify]: iters left: 4 (112 enodes) 102.116 * * [simplify]: iters left: 3 (188 enodes) 102.165 * * [simplify]: iters left: 2 (356 enodes) 102.264 * * [simplify]: Extracting #0: cost 1 inf + 0 102.264 * * [simplify]: Extracting #1: cost 6 inf + 0 102.264 * * [simplify]: Extracting #2: cost 28 inf + 0 102.265 * * [simplify]: Extracting #3: cost 101 inf + 43 102.266 * * [simplify]: Extracting #4: cost 163 inf + 338 102.269 * * [simplify]: Extracting #5: cost 130 inf + 7670 102.278 * * [simplify]: Extracting #6: cost 69 inf + 24327 102.293 * * [simplify]: Extracting #7: cost 19 inf + 60063 102.303 * * [simplify]: Extracting #8: cost 0 inf + 76950 102.314 * * [simplify]: Extracting #9: cost 0 inf + 76598 102.324 * [simplify]: Simplified to (/ (sqrt k) (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 4))) 102.324 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt 1) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 4)))))) 102.324 * * * * [progress]: [ 160 / 209 ] simplifiying candidate # 102.324 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 102.325 * * [simplify]: iters left: 6 (13 enodes) 102.328 * * [simplify]: iters left: 5 (52 enodes) 102.339 * * [simplify]: iters left: 4 (84 enodes) 102.369 * * [simplify]: iters left: 3 (145 enodes) 102.422 * * [simplify]: iters left: 2 (294 enodes) 102.535 * * [simplify]: Extracting #0: cost 1 inf + 0 102.535 * * [simplify]: Extracting #1: cost 6 inf + 0 102.536 * * [simplify]: Extracting #2: cost 27 inf + 0 102.536 * * [simplify]: Extracting #3: cost 96 inf + 1 102.537 * * [simplify]: Extracting #4: cost 146 inf + 629 102.541 * * [simplify]: Extracting #5: cost 99 inf + 20197 102.555 * * [simplify]: Extracting #6: cost 27 inf + 55249 102.571 * * [simplify]: Extracting #7: cost 1 inf + 69643 102.588 * * [simplify]: Extracting #8: cost 0 inf + 70018 102.605 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (pow n (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))) 102.606 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (pow n (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))) (/ (sqrt (sqrt k)) (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))) 102.606 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 102.606 * * [simplify]: iters left: 6 (14 enodes) 102.614 * * [simplify]: iters left: 5 (56 enodes) 102.633 * * [simplify]: iters left: 4 (92 enodes) 102.658 * * [simplify]: iters left: 3 (151 enodes) 102.689 * * [simplify]: iters left: 2 (284 enodes) 102.773 * * [simplify]: Extracting #0: cost 1 inf + 0 102.773 * * [simplify]: Extracting #1: cost 6 inf + 0 102.773 * * [simplify]: Extracting #2: cost 27 inf + 0 102.773 * * [simplify]: Extracting #3: cost 92 inf + 1 102.774 * * [simplify]: Extracting #4: cost 143 inf + 253 102.775 * * [simplify]: Extracting #5: cost 114 inf + 6204 102.778 * * [simplify]: Extracting #6: cost 60 inf + 25120 102.785 * * [simplify]: Extracting #7: cost 6 inf + 68423 102.794 * * [simplify]: Extracting #8: cost 0 inf + 72187 102.808 * * [simplify]: Extracting #9: cost 0 inf + 71623 102.826 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (pow (* 2 PI) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))) 102.826 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (/ (sqrt (sqrt k)) (pow (pow (* 2 PI) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))))) 102.827 * * * * [progress]: [ 161 / 209 ] simplifiying candidate # 102.827 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2))) 102.827 * * [simplify]: iters left: 6 (18 enodes) 102.835 * * [simplify]: iters left: 5 (71 enodes) 102.849 * * [simplify]: iters left: 4 (115 enodes) 102.871 * * [simplify]: iters left: 3 (179 enodes) 102.929 * * [simplify]: iters left: 2 (312 enodes) 103.007 * * [simplify]: Extracting #0: cost 1 inf + 0 103.007 * * [simplify]: Extracting #1: cost 6 inf + 0 103.007 * * [simplify]: Extracting #2: cost 27 inf + 0 103.008 * * [simplify]: Extracting #3: cost 83 inf + 1 103.008 * * [simplify]: Extracting #4: cost 105 inf + 49 103.010 * * [simplify]: Extracting #5: cost 86 inf + 3892 103.013 * * [simplify]: Extracting #6: cost 105 inf + 6268 103.017 * * [simplify]: Extracting #7: cost 108 inf + 8569 103.026 * * [simplify]: Extracting #8: cost 60 inf + 29688 103.042 * * [simplify]: Extracting #9: cost 14 inf + 69872 103.063 * * [simplify]: Extracting #10: cost 0 inf + 84212 103.089 * * [simplify]: Extracting #11: cost 0 inf + 83606 103.111 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* (cbrt (pow (* n (* 2 PI)) (+ (sqrt k) 1))) (cbrt (pow (* n (* 2 PI)) (+ (sqrt k) 1)))) (/ (- 1 (sqrt k)) 2))) 103.111 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (* (cbrt (pow (* n (* 2 PI)) (+ (sqrt k) 1))) (cbrt (pow (* n (* 2 PI)) (+ (sqrt k) 1)))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt (sqrt k)) (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)))))) 103.112 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) 103.112 * * [simplify]: iters left: 6 (17 enodes) 103.121 * * [simplify]: iters left: 5 (68 enodes) 103.143 * * [simplify]: iters left: 4 (108 enodes) 103.177 * * [simplify]: iters left: 3 (177 enodes) 103.242 * * [simplify]: iters left: 2 (331 enodes) 103.371 * * [simplify]: Extracting #0: cost 1 inf + 0 103.371 * * [simplify]: Extracting #1: cost 6 inf + 0 103.371 * * [simplify]: Extracting #2: cost 27 inf + 0 103.372 * * [simplify]: Extracting #3: cost 88 inf + 1 103.372 * * [simplify]: Extracting #4: cost 119 inf + 49 103.374 * * [simplify]: Extracting #5: cost 138 inf + 2343 103.378 * * [simplify]: Extracting #6: cost 107 inf + 8850 103.384 * * [simplify]: Extracting #7: cost 75 inf + 18676 103.398 * * [simplify]: Extracting #8: cost 26 inf + 55794 103.417 * * [simplify]: Extracting #9: cost 0 inf + 79572 103.437 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (cbrt (pow (* n (* 2 PI)) (+ (sqrt k) 1))) (/ (- 1 (sqrt k)) 2))) 103.437 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt (sqrt k)) (pow (cbrt (pow (* n (* 2 PI)) (+ (sqrt k) 1))) (/ (- 1 (sqrt k)) 2)))))) 103.437 * * * * [progress]: [ 162 / 209 ] simplifiying candidate # 103.438 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) 103.438 * * [simplify]: iters left: 6 (17 enodes) 103.447 * * [simplify]: iters left: 5 (68 enodes) 103.468 * * [simplify]: iters left: 4 (109 enodes) 103.503 * * [simplify]: iters left: 3 (178 enodes) 103.564 * * [simplify]: iters left: 2 (332 enodes) 103.652 * * [simplify]: Extracting #0: cost 1 inf + 0 103.652 * * [simplify]: Extracting #1: cost 6 inf + 0 103.652 * * [simplify]: Extracting #2: cost 27 inf + 0 103.652 * * [simplify]: Extracting #3: cost 89 inf + 1 103.653 * * [simplify]: Extracting #4: cost 125 inf + 49 103.654 * * [simplify]: Extracting #5: cost 140 inf + 3286 103.658 * * [simplify]: Extracting #6: cost 104 inf + 9748 103.664 * * [simplify]: Extracting #7: cost 73 inf + 17684 103.678 * * [simplify]: Extracting #8: cost 19 inf + 60163 103.697 * * [simplify]: Extracting #9: cost 0 inf + 78877 103.717 * * [simplify]: Extracting #10: cost 0 inf + 78657 103.736 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (sqrt (pow (* n (* 2 PI)) (+ (sqrt k) 1))) (/ (- 1 (sqrt k)) 2))) 103.736 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (sqrt (pow (* n (* 2 PI)) (+ (sqrt k) 1))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt (sqrt k)) (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)))))) 103.737 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) 103.737 * * [simplify]: iters left: 6 (17 enodes) 103.745 * * [simplify]: iters left: 5 (68 enodes) 103.771 * * [simplify]: iters left: 4 (109 enodes) 103.805 * * [simplify]: iters left: 3 (178 enodes) 103.867 * * [simplify]: iters left: 2 (332 enodes) 103.969 * * [simplify]: Extracting #0: cost 1 inf + 0 103.969 * * [simplify]: Extracting #1: cost 6 inf + 0 103.969 * * [simplify]: Extracting #2: cost 27 inf + 0 103.969 * * [simplify]: Extracting #3: cost 89 inf + 1 103.970 * * [simplify]: Extracting #4: cost 125 inf + 49 103.972 * * [simplify]: Extracting #5: cost 140 inf + 3286 103.976 * * [simplify]: Extracting #6: cost 104 inf + 9748 103.982 * * [simplify]: Extracting #7: cost 73 inf + 17684 103.991 * * [simplify]: Extracting #8: cost 19 inf + 60163 104.000 * * [simplify]: Extracting #9: cost 0 inf + 78877 104.012 * * [simplify]: Extracting #10: cost 0 inf + 78657 104.026 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (sqrt (pow (* n (* 2 PI)) (+ (sqrt k) 1))) (/ (- 1 (sqrt k)) 2))) 104.026 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt (sqrt k)) (pow (sqrt (pow (* n (* 2 PI)) (+ (sqrt k) 1))) (/ (- 1 (sqrt k)) 2)))))) 104.026 * * * * [progress]: [ 163 / 209 ] simplifiying candidate # 104.027 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow 1 (/ (- 1 (sqrt k)) 2))) 104.027 * * [simplify]: iters left: 6 (9 enodes) 104.032 * * [simplify]: iters left: 5 (33 enodes) 104.043 * * [simplify]: iters left: 4 (42 enodes) 104.054 * * [simplify]: iters left: 3 (44 enodes) 104.065 * * [simplify]: Extracting #0: cost 1 inf + 0 104.065 * * [simplify]: Extracting #1: cost 4 inf + 0 104.065 * * [simplify]: Extracting #2: cost 5 inf + 1 104.065 * * [simplify]: Extracting #3: cost 4 inf + 2 104.065 * * [simplify]: Extracting #4: cost 1 inf + 165 104.065 * * [simplify]: Extracting #5: cost 0 inf + 246 104.065 * [simplify]: Simplified to (sqrt (sqrt k)) 104.065 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))) 104.066 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 104.066 * * [simplify]: iters left: 6 (16 enodes) 104.074 * * [simplify]: iters left: 5 (65 enodes) 104.094 * * [simplify]: iters left: 4 (109 enodes) 104.118 * * [simplify]: iters left: 3 (177 enodes) 104.154 * * [simplify]: iters left: 2 (315 enodes) 104.272 * * [simplify]: Extracting #0: cost 1 inf + 0 104.273 * * [simplify]: Extracting #1: cost 6 inf + 0 104.273 * * [simplify]: Extracting #2: cost 29 inf + 0 104.273 * * [simplify]: Extracting #3: cost 95 inf + 1 104.274 * * [simplify]: Extracting #4: cost 149 inf + 499 104.277 * * [simplify]: Extracting #5: cost 117 inf + 7450 104.285 * * [simplify]: Extracting #6: cost 58 inf + 28144 104.299 * * [simplify]: Extracting #7: cost 19 inf + 57089 104.316 * * [simplify]: Extracting #8: cost 1 inf + 73567 104.332 * * [simplify]: Extracting #9: cost 0 inf + 74604 104.341 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))) 104.342 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))))) 104.342 * * * * [progress]: [ 164 / 209 ] simplifiying candidate # 104.342 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2))) 104.342 * * [simplify]: iters left: 6 (17 enodes) 104.347 * * [simplify]: iters left: 5 (70 enodes) 104.359 * * [simplify]: iters left: 4 (111 enodes) 104.380 * * [simplify]: iters left: 3 (184 enodes) 104.427 * * [simplify]: iters left: 2 (344 enodes) 104.513 * * [simplify]: Extracting #0: cost 1 inf + 0 104.513 * * [simplify]: Extracting #1: cost 6 inf + 0 104.513 * * [simplify]: Extracting #2: cost 27 inf + 0 104.513 * * [simplify]: Extracting #3: cost 97 inf + 1 104.513 * * [simplify]: Extracting #4: cost 149 inf + 621 104.516 * * [simplify]: Extracting #5: cost 139 inf + 4478 104.520 * * [simplify]: Extracting #6: cost 96 inf + 11295 104.529 * * [simplify]: Extracting #7: cost 46 inf + 36240 104.539 * * [simplify]: Extracting #8: cost 16 inf + 62835 104.549 * * [simplify]: Extracting #9: cost 1 inf + 78251 104.564 * * [simplify]: Extracting #10: cost 0 inf + 78995 104.574 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (pow (* 2 (* n PI)) (/ (+ (sqrt k) 1) 2)) (/ (- 1 (sqrt k)) 2))) 104.574 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (pow (* 2 (* n PI)) (/ (+ (sqrt k) 1) 2)) (/ (- 1 (sqrt k)) 2))) (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)))))) 104.575 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2))) 104.575 * * [simplify]: iters left: 6 (17 enodes) 104.580 * * [simplify]: iters left: 5 (70 enodes) 104.600 * * [simplify]: iters left: 4 (111 enodes) 104.635 * * [simplify]: iters left: 3 (184 enodes) 104.703 * * [simplify]: iters left: 2 (344 enodes) 104.819 * * [simplify]: Extracting #0: cost 1 inf + 0 104.819 * * [simplify]: Extracting #1: cost 6 inf + 0 104.820 * * [simplify]: Extracting #2: cost 27 inf + 0 104.820 * * [simplify]: Extracting #3: cost 97 inf + 1 104.820 * * [simplify]: Extracting #4: cost 149 inf + 621 104.822 * * [simplify]: Extracting #5: cost 139 inf + 4478 104.824 * * [simplify]: Extracting #6: cost 96 inf + 11295 104.829 * * [simplify]: Extracting #7: cost 46 inf + 36240 104.839 * * [simplify]: Extracting #8: cost 16 inf + 62835 104.859 * * [simplify]: Extracting #9: cost 1 inf + 78251 104.877 * * [simplify]: Extracting #10: cost 0 inf + 78995 104.888 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (pow (* 2 (* n PI)) (/ (+ (sqrt k) 1) 2)) (/ (- 1 (sqrt k)) 2))) 104.888 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2))) (/ (sqrt (sqrt k)) (pow (pow (* 2 (* n PI)) (/ (+ (sqrt k) 1) 2)) (/ (- 1 (sqrt k)) 2)))))) 104.888 * * * * [progress]: [ 165 / 209 ] simplifiying candidate # 104.889 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) 104.889 * * [simplify]: iters left: 6 (18 enodes) 104.894 * * [simplify]: iters left: 5 (73 enodes) 104.907 * * [simplify]: iters left: 4 (113 enodes) 104.945 * * [simplify]: iters left: 3 (175 enodes) 105.005 * * [simplify]: iters left: 2 (318 enodes) 105.124 * * [simplify]: Extracting #0: cost 1 inf + 0 105.124 * * [simplify]: Extracting #1: cost 6 inf + 0 105.124 * * [simplify]: Extracting #2: cost 12 inf + 0 105.124 * * [simplify]: Extracting #3: cost 27 inf + 0 105.124 * * [simplify]: Extracting #4: cost 78 inf + 43 105.125 * * [simplify]: Extracting #5: cost 141 inf + 578 105.127 * * [simplify]: Extracting #6: cost 125 inf + 5167 105.132 * * [simplify]: Extracting #7: cost 82 inf + 11312 105.140 * * [simplify]: Extracting #8: cost 55 inf + 25472 105.154 * * [simplify]: Extracting #9: cost 13 inf + 59451 105.169 * * [simplify]: Extracting #10: cost 0 inf + 72554 105.184 * [simplify]: Simplified to (/ (/ (sqrt (sqrt k)) (cbrt (pow (pow (* (* n PI) 2) (+ (sqrt k) 1)) (- 1/2 (/ (sqrt k) 2))))) (cbrt (pow (pow (* (* n PI) 2) (+ (sqrt k) 1)) (- 1/2 (/ (sqrt k) 2))))) 105.184 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (/ (sqrt (sqrt k)) (cbrt (pow (pow (* (* n PI) 2) (+ (sqrt k) 1)) (- 1/2 (/ (sqrt k) 2))))) (cbrt (pow (pow (* (* n PI) 2) (+ (sqrt k) 1)) (- 1/2 (/ (sqrt k) 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))))) 105.184 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 105.184 * * [simplify]: iters left: 6 (17 enodes) 105.192 * * [simplify]: iters left: 5 (68 enodes) 105.203 * * [simplify]: iters left: 4 (106 enodes) 105.221 * * [simplify]: iters left: 3 (171 enodes) 105.265 * * [simplify]: iters left: 2 (316 enodes) 105.335 * * [simplify]: Extracting #0: cost 1 inf + 0 105.336 * * [simplify]: Extracting #1: cost 4 inf + 0 105.336 * * [simplify]: Extracting #2: cost 8 inf + 0 105.336 * * [simplify]: Extracting #3: cost 23 inf + 0 105.336 * * [simplify]: Extracting #4: cost 73 inf + 2 105.336 * * [simplify]: Extracting #5: cost 143 inf + 48 105.337 * * [simplify]: Extracting #6: cost 125 inf + 4600 105.341 * * [simplify]: Extracting #7: cost 44 inf + 32679 105.349 * * [simplify]: Extracting #8: cost 2 inf + 63633 105.359 * * [simplify]: Extracting #9: cost 0 inf + 65112 105.368 * * [simplify]: Extracting #10: cost 0 inf + 64981 105.376 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (pow (* n (* 2 PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))) 105.377 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (* (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (pow (* n (* 2 PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))))))) 105.377 * * * * [progress]: [ 166 / 209 ] simplifiying candidate # 105.377 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 105.377 * * [simplify]: iters left: 6 (17 enodes) 105.382 * * [simplify]: iters left: 5 (68 enodes) 105.393 * * [simplify]: iters left: 4 (107 enodes) 105.417 * * [simplify]: iters left: 3 (172 enodes) 105.480 * * [simplify]: iters left: 2 (317 enodes) 105.552 * * [simplify]: Extracting #0: cost 1 inf + 0 105.552 * * [simplify]: Extracting #1: cost 4 inf + 0 105.552 * * [simplify]: Extracting #2: cost 9 inf + 0 105.553 * * [simplify]: Extracting #3: cost 28 inf + 0 105.553 * * [simplify]: Extracting #4: cost 86 inf + 43 105.553 * * [simplify]: Extracting #5: cost 135 inf + 703 105.555 * * [simplify]: Extracting #6: cost 109 inf + 6610 105.561 * * [simplify]: Extracting #7: cost 45 inf + 30693 105.571 * * [simplify]: Extracting #8: cost 5 inf + 59660 105.589 * * [simplify]: Extracting #9: cost 0 inf + 63623 105.606 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (pow (* (* n PI) 2) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))) 105.606 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (pow (* (* n PI) 2) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))))) 105.606 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 105.607 * * [simplify]: iters left: 6 (17 enodes) 105.615 * * [simplify]: iters left: 5 (68 enodes) 105.634 * * [simplify]: iters left: 4 (107 enodes) 105.651 * * [simplify]: iters left: 3 (172 enodes) 105.688 * * [simplify]: iters left: 2 (317 enodes) 105.780 * * [simplify]: Extracting #0: cost 1 inf + 0 105.780 * * [simplify]: Extracting #1: cost 4 inf + 0 105.780 * * [simplify]: Extracting #2: cost 9 inf + 0 105.780 * * [simplify]: Extracting #3: cost 28 inf + 0 105.781 * * [simplify]: Extracting #4: cost 86 inf + 43 105.781 * * [simplify]: Extracting #5: cost 135 inf + 703 105.782 * * [simplify]: Extracting #6: cost 109 inf + 6610 105.787 * * [simplify]: Extracting #7: cost 45 inf + 30693 105.794 * * [simplify]: Extracting #8: cost 5 inf + 59660 105.803 * * [simplify]: Extracting #9: cost 0 inf + 63623 105.812 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (pow (* (* n PI) 2) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))) 105.812 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (pow (* (* n PI) 2) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))))))) 105.812 * * * * [progress]: [ 167 / 209 ] simplifiying candidate # 105.812 * [simplify]: Simplifying (/ (sqrt (sqrt k)) 1) 105.812 * * [simplify]: iters left: 4 (5 enodes) 105.814 * * [simplify]: iters left: 3 (15 enodes) 105.816 * * [simplify]: iters left: 2 (17 enodes) 105.819 * * [simplify]: Extracting #0: cost 1 inf + 0 105.819 * * [simplify]: Extracting #1: cost 4 inf + 0 105.819 * * [simplify]: Extracting #2: cost 5 inf + 1 105.819 * * [simplify]: Extracting #3: cost 4 inf + 2 105.819 * * [simplify]: Extracting #4: cost 1 inf + 165 105.819 * * [simplify]: Extracting #5: cost 0 inf + 246 105.819 * [simplify]: Simplified to (sqrt (sqrt k)) 105.819 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))) 105.819 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 105.819 * * [simplify]: iters left: 6 (16 enodes) 105.824 * * [simplify]: iters left: 5 (65 enodes) 105.834 * * [simplify]: iters left: 4 (109 enodes) 105.857 * * [simplify]: iters left: 3 (177 enodes) 105.897 * * [simplify]: iters left: 2 (315 enodes) 106.007 * * [simplify]: Extracting #0: cost 1 inf + 0 106.007 * * [simplify]: Extracting #1: cost 6 inf + 0 106.007 * * [simplify]: Extracting #2: cost 29 inf + 0 106.008 * * [simplify]: Extracting #3: cost 95 inf + 1 106.008 * * [simplify]: Extracting #4: cost 149 inf + 499 106.012 * * [simplify]: Extracting #5: cost 117 inf + 7450 106.019 * * [simplify]: Extracting #6: cost 58 inf + 28144 106.033 * * [simplify]: Extracting #7: cost 19 inf + 57089 106.050 * * [simplify]: Extracting #8: cost 1 inf + 73567 106.068 * * [simplify]: Extracting #9: cost 0 inf + 74604 106.086 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))) 106.086 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))))) 106.086 * * * * [progress]: [ 168 / 209 ] simplifiying candidate # 106.087 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2))) 106.087 * * [simplify]: iters left: 6 (17 enodes) 106.096 * * [simplify]: iters left: 5 (71 enodes) 106.123 * * [simplify]: iters left: 4 (115 enodes) 106.151 * * [simplify]: iters left: 3 (191 enodes) 106.195 * * [simplify]: iters left: 2 (360 enodes) 106.331 * * [simplify]: Extracting #0: cost 1 inf + 0 106.331 * * [simplify]: Extracting #1: cost 6 inf + 0 106.331 * * [simplify]: Extracting #2: cost 28 inf + 0 106.332 * * [simplify]: Extracting #3: cost 103 inf + 1 106.333 * * [simplify]: Extracting #4: cost 166 inf + 173 106.336 * * [simplify]: Extracting #5: cost 136 inf + 6759 106.343 * * [simplify]: Extracting #6: cost 77 inf + 20191 106.360 * * [simplify]: Extracting #7: cost 32 inf + 48106 106.379 * * [simplify]: Extracting #8: cost 3 inf + 72492 106.392 * * [simplify]: Extracting #9: cost 0 inf + 74391 106.402 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 4))) 106.402 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 4))) (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)))))) 106.402 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2))) 106.403 * * [simplify]: iters left: 6 (17 enodes) 106.408 * * [simplify]: iters left: 5 (71 enodes) 106.423 * * [simplify]: iters left: 4 (115 enodes) 106.459 * * [simplify]: iters left: 3 (191 enodes) 106.529 * * [simplify]: iters left: 2 (360 enodes) 106.620 * * [simplify]: Extracting #0: cost 1 inf + 0 106.621 * * [simplify]: Extracting #1: cost 6 inf + 0 106.621 * * [simplify]: Extracting #2: cost 28 inf + 0 106.621 * * [simplify]: Extracting #3: cost 103 inf + 1 106.621 * * [simplify]: Extracting #4: cost 166 inf + 173 106.623 * * [simplify]: Extracting #5: cost 136 inf + 6759 106.626 * * [simplify]: Extracting #6: cost 77 inf + 20191 106.632 * * [simplify]: Extracting #7: cost 32 inf + 48106 106.646 * * [simplify]: Extracting #8: cost 3 inf + 72492 106.663 * * [simplify]: Extracting #9: cost 0 inf + 74391 106.673 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 4))) 106.673 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2))) (/ (sqrt (sqrt k)) (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 4)))))) 106.674 * * * * [progress]: [ 169 / 209 ] simplifiying candidate # 106.674 * [simplify]: Simplifying (/ 1 (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 106.674 * * [simplify]: iters left: 6 (12 enodes) 106.677 * * [simplify]: iters left: 5 (49 enodes) 106.688 * * [simplify]: iters left: 4 (85 enodes) 106.702 * * [simplify]: iters left: 3 (148 enodes) 106.734 * * [simplify]: iters left: 2 (286 enodes) 106.811 * * [simplify]: Extracting #0: cost 1 inf + 0 106.811 * * [simplify]: Extracting #1: cost 6 inf + 0 106.812 * * [simplify]: Extracting #2: cost 26 inf + 1 106.812 * * [simplify]: Extracting #3: cost 93 inf + 2 106.813 * * [simplify]: Extracting #4: cost 148 inf + 8 106.814 * * [simplify]: Extracting #5: cost 168 inf + 11 106.815 * * [simplify]: Extracting #6: cost 160 inf + 1164 106.820 * * [simplify]: Extracting #7: cost 89 inf + 16167 106.832 * * [simplify]: Extracting #8: cost 13 inf + 59273 106.848 * * [simplify]: Extracting #9: cost 0 inf + 70607 106.864 * [simplify]: Simplified to (/ 1 (pow (pow n (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))) 106.864 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow (pow n (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))) (/ (sqrt k) (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))) 106.865 * [simplify]: Simplifying (/ (sqrt k) (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 106.865 * * [simplify]: iters left: 6 (13 enodes) 106.873 * * [simplify]: iters left: 5 (53 enodes) 106.882 * * [simplify]: iters left: 4 (85 enodes) 106.900 * * [simplify]: iters left: 3 (149 enodes) 106.947 * * [simplify]: iters left: 2 (300 enodes) 107.036 * * [simplify]: Extracting #0: cost 1 inf + 0 107.036 * * [simplify]: Extracting #1: cost 6 inf + 0 107.036 * * [simplify]: Extracting #2: cost 27 inf + 0 107.037 * * [simplify]: Extracting #3: cost 93 inf + 43 107.037 * * [simplify]: Extracting #4: cost 146 inf + 336 107.039 * * [simplify]: Extracting #5: cost 115 inf + 7517 107.043 * * [simplify]: Extracting #6: cost 59 inf + 30828 107.050 * * [simplify]: Extracting #7: cost 12 inf + 65740 107.064 * * [simplify]: Extracting #8: cost 0 inf + 73063 107.081 * [simplify]: Simplified to (/ (sqrt k) (pow (pow (* 2 PI) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))) 107.081 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (/ (sqrt k) (pow (pow (* 2 PI) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))))) 107.082 * * * * [progress]: [ 170 / 209 ] simplifiying candidate # 107.082 * [simplify]: Simplifying (/ 1 (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2))) 107.082 * * [simplify]: iters left: 6 (17 enodes) 107.088 * * [simplify]: iters left: 5 (68 enodes) 107.103 * * [simplify]: iters left: 4 (108 enodes) 107.121 * * [simplify]: iters left: 3 (177 enodes) 107.154 * * [simplify]: iters left: 2 (331 enodes) 107.246 * * [simplify]: Extracting #0: cost 1 inf + 0 107.246 * * [simplify]: Extracting #1: cost 6 inf + 0 107.246 * * [simplify]: Extracting #2: cost 24 inf + 1 107.246 * * [simplify]: Extracting #3: cost 82 inf + 2 107.247 * * [simplify]: Extracting #4: cost 108 inf + 7 107.247 * * [simplify]: Extracting #5: cost 122 inf + 10 107.247 * * [simplify]: Extracting #6: cost 160 inf + 52 107.249 * * [simplify]: Extracting #7: cost 138 inf + 4394 107.251 * * [simplify]: Extracting #8: cost 81 inf + 18059 107.261 * * [simplify]: Extracting #9: cost 22 inf + 60205 107.283 * * [simplify]: Extracting #10: cost 0 inf + 82470 107.308 * * [simplify]: Extracting #11: cost 0 inf + 82347 107.320 * [simplify]: Simplified to (/ 1 (pow (* (cbrt (pow (* 2 (* PI n)) (+ 1 (sqrt k)))) (cbrt (pow (* 2 (* PI n)) (+ 1 (sqrt k))))) (/ (- 1 (sqrt k)) 2))) 107.320 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow (* (cbrt (pow (* 2 (* PI n)) (+ 1 (sqrt k)))) (cbrt (pow (* 2 (* PI n)) (+ 1 (sqrt k))))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt k) (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)))))) 107.320 * [simplify]: Simplifying (/ (sqrt k) (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) 107.320 * * [simplify]: iters left: 6 (16 enodes) 107.325 * * [simplify]: iters left: 5 (65 enodes) 107.336 * * [simplify]: iters left: 4 (105 enodes) 107.361 * * [simplify]: iters left: 3 (175 enodes) 107.394 * * [simplify]: iters left: 2 (329 enodes) 107.471 * * [simplify]: Extracting #0: cost 1 inf + 0 107.471 * * [simplify]: Extracting #1: cost 6 inf + 0 107.471 * * [simplify]: Extracting #2: cost 27 inf + 0 107.472 * * [simplify]: Extracting #3: cost 81 inf + 84 107.472 * * [simplify]: Extracting #4: cost 114 inf + 172 107.474 * * [simplify]: Extracting #5: cost 121 inf + 4225 107.478 * * [simplify]: Extracting #6: cost 109 inf + 8408 107.486 * * [simplify]: Extracting #7: cost 65 inf + 24355 107.496 * * [simplify]: Extracting #8: cost 18 inf + 60309 107.506 * * [simplify]: Extracting #9: cost 1 inf + 77610 107.516 * * [simplify]: Extracting #10: cost 0 inf + 78597 107.529 * [simplify]: Simplified to (/ (sqrt k) (pow (cbrt (pow (* n (* 2 PI)) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2))) 107.529 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt k) (pow (cbrt (pow (* n (* 2 PI)) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)))))) 107.530 * * * * [progress]: [ 171 / 209 ] simplifiying candidate # 107.530 * [simplify]: Simplifying (/ 1 (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) 107.530 * * [simplify]: iters left: 6 (16 enodes) 107.538 * * [simplify]: iters left: 5 (65 enodes) 107.549 * * [simplify]: iters left: 4 (106 enodes) 107.568 * * [simplify]: iters left: 3 (175 enodes) 107.620 * * [simplify]: iters left: 2 (326 enodes) 107.701 * * [simplify]: Extracting #0: cost 1 inf + 0 107.701 * * [simplify]: Extracting #1: cost 6 inf + 0 107.701 * * [simplify]: Extracting #2: cost 24 inf + 1 107.701 * * [simplify]: Extracting #3: cost 84 inf + 2 107.701 * * [simplify]: Extracting #4: cost 121 inf + 7 107.702 * * [simplify]: Extracting #5: cost 166 inf + 10 107.702 * * [simplify]: Extracting #6: cost 170 inf + 710 107.705 * * [simplify]: Extracting #7: cost 97 inf + 14078 107.711 * * [simplify]: Extracting #8: cost 21 inf + 61656 107.725 * * [simplify]: Extracting #9: cost 0 inf + 80277 107.746 * * [simplify]: Extracting #10: cost 0 inf + 79382 107.765 * * [simplify]: Extracting #11: cost 0 inf + 79300 107.775 * [simplify]: Simplified to (/ 1 (pow (sqrt (pow (* PI (* 2 n)) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2))) 107.775 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow (sqrt (pow (* PI (* 2 n)) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt k) (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)))))) 107.775 * [simplify]: Simplifying (/ (sqrt k) (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) 107.776 * * [simplify]: iters left: 6 (16 enodes) 107.782 * * [simplify]: iters left: 5 (65 enodes) 107.793 * * [simplify]: iters left: 4 (106 enodes) 107.824 * * [simplify]: iters left: 3 (175 enodes) 107.861 * * [simplify]: iters left: 2 (326 enodes) 107.939 * * [simplify]: Extracting #0: cost 1 inf + 0 107.939 * * [simplify]: Extracting #1: cost 6 inf + 0 107.939 * * [simplify]: Extracting #2: cost 27 inf + 0 107.940 * * [simplify]: Extracting #3: cost 84 inf + 84 107.940 * * [simplify]: Extracting #4: cost 117 inf + 295 107.941 * * [simplify]: Extracting #5: cost 127 inf + 4351 107.943 * * [simplify]: Extracting #6: cost 103 inf + 9715 107.947 * * [simplify]: Extracting #7: cost 54 inf + 29809 107.955 * * [simplify]: Extracting #8: cost 13 inf + 65201 107.976 * * [simplify]: Extracting #9: cost 0 inf + 78888 107.991 * * [simplify]: Extracting #10: cost 0 inf + 78847 108.001 * [simplify]: Simplified to (/ (sqrt k) (pow (sqrt (pow (* n (* 2 PI)) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2))) 108.002 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) (/ (sqrt k) (pow (sqrt (pow (* n (* 2 PI)) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)))))) 108.002 * * * * [progress]: [ 172 / 209 ] simplifiying candidate # 108.002 * [simplify]: Simplifying (/ 1 (pow 1 (/ (- 1 (sqrt k)) 2))) 108.002 * * [simplify]: iters left: 6 (8 enodes) 108.006 * * [simplify]: iters left: 5 (30 enodes) 108.010 * * [simplify]: iters left: 4 (39 enodes) 108.017 * * [simplify]: Extracting #0: cost 1 inf + 0 108.017 * * [simplify]: Extracting #1: cost 0 inf + 1 108.017 * [simplify]: Simplified to 1 108.017 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))) 108.018 * [simplify]: Simplifying (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 108.018 * * [simplify]: iters left: 6 (15 enodes) 108.026 * * [simplify]: iters left: 5 (62 enodes) 108.045 * * [simplify]: iters left: 4 (102 enodes) 108.063 * * [simplify]: iters left: 3 (171 enodes) 108.111 * * [simplify]: iters left: 2 (325 enodes) 108.208 * * [simplify]: Extracting #0: cost 1 inf + 0 108.208 * * [simplify]: Extracting #1: cost 6 inf + 0 108.208 * * [simplify]: Extracting #2: cost 27 inf + 0 108.209 * * [simplify]: Extracting #3: cost 92 inf + 43 108.210 * * [simplify]: Extracting #4: cost 150 inf + 254 108.212 * * [simplify]: Extracting #5: cost 123 inf + 6029 108.218 * * [simplify]: Extracting #6: cost 76 inf + 16466 108.229 * * [simplify]: Extracting #7: cost 19 inf + 56560 108.238 * * [simplify]: Extracting #8: cost 0 inf + 73844 108.247 * [simplify]: Simplified to (/ (sqrt k) (pow (pow (* PI (* n 2)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) 108.247 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))))) 108.247 * * * * [progress]: [ 173 / 209 ] simplifiying candidate # 108.248 * [simplify]: Simplifying (/ 1 (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2))) 108.248 * * [simplify]: iters left: 6 (16 enodes) 108.252 * * [simplify]: iters left: 5 (67 enodes) 108.272 * * [simplify]: iters left: 4 (112 enodes) 108.308 * * [simplify]: iters left: 3 (185 enodes) 108.361 * * [simplify]: iters left: 2 (328 enodes) 108.436 * * [simplify]: Extracting #0: cost 1 inf + 0 108.436 * * [simplify]: Extracting #1: cost 6 inf + 0 108.437 * * [simplify]: Extracting #2: cost 25 inf + 1 108.437 * * [simplify]: Extracting #3: cost 87 inf + 2 108.437 * * [simplify]: Extracting #4: cost 151 inf + 7 108.438 * * [simplify]: Extracting #5: cost 173 inf + 137 108.438 * * [simplify]: Extracting #6: cost 160 inf + 1331 108.441 * * [simplify]: Extracting #7: cost 88 inf + 16179 108.448 * * [simplify]: Extracting #8: cost 15 inf + 69722 108.459 * * [simplify]: Extracting #9: cost 0 inf + 81496 108.477 * * [simplify]: Extracting #10: cost 0 inf + 80841 108.502 * [simplify]: Simplified to (/ 1 (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 2)) (/ (- 1 (sqrt k)) 2))) 108.502 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 2)) (/ (- 1 (sqrt k)) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)))))) 108.503 * [simplify]: Simplifying (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2))) 108.503 * * [simplify]: iters left: 6 (16 enodes) 108.512 * * [simplify]: iters left: 5 (67 enodes) 108.534 * * [simplify]: iters left: 4 (112 enodes) 108.570 * * [simplify]: iters left: 3 (185 enodes) 108.629 * * [simplify]: iters left: 2 (328 enodes) 108.748 * * [simplify]: Extracting #0: cost 1 inf + 0 108.748 * * [simplify]: Extracting #1: cost 6 inf + 0 108.748 * * [simplify]: Extracting #2: cost 28 inf + 0 108.749 * * [simplify]: Extracting #3: cost 89 inf + 43 108.749 * * [simplify]: Extracting #4: cost 147 inf + 418 108.751 * * [simplify]: Extracting #5: cost 135 inf + 5087 108.753 * * [simplify]: Extracting #6: cost 96 inf + 10504 108.758 * * [simplify]: Extracting #7: cost 51 inf + 35360 108.769 * * [simplify]: Extracting #8: cost 16 inf + 65151 108.780 * * [simplify]: Extracting #9: cost 0 inf + 81452 108.791 * * [simplify]: Extracting #10: cost 0 inf + 81059 108.801 * [simplify]: Simplified to (/ (sqrt k) (pow (pow (* (* n 2) PI) (* 1/2 (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2))) 108.801 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2))) (/ (sqrt k) (pow (pow (* (* n 2) PI) (* 1/2 (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)))))) 108.802 * * * * [progress]: [ 174 / 209 ] simplifiying candidate # 108.802 * [simplify]: Simplifying (/ 1 (* (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) 108.802 * * [simplify]: iters left: 6 (17 enodes) 108.807 * * [simplify]: iters left: 5 (70 enodes) 108.819 * * [simplify]: iters left: 4 (110 enodes) 108.837 * * [simplify]: iters left: 3 (175 enodes) 108.892 * * [simplify]: iters left: 2 (323 enodes) 108.965 * * [simplify]: Extracting #0: cost 1 inf + 0 108.965 * * [simplify]: Extracting #1: cost 6 inf + 0 108.965 * * [simplify]: Extracting #2: cost 9 inf + 1 108.965 * * [simplify]: Extracting #3: cost 22 inf + 1 108.966 * * [simplify]: Extracting #4: cost 76 inf + 2 108.966 * * [simplify]: Extracting #5: cost 150 inf + 6 108.968 * * [simplify]: Extracting #6: cost 170 inf + 179 108.970 * * [simplify]: Extracting #7: cost 142 inf + 6617 108.977 * * [simplify]: Extracting #8: cost 57 inf + 30633 108.992 * * [simplify]: Extracting #9: cost 5 inf + 69652 109.009 * * [simplify]: Extracting #10: cost 0 inf + 72789 109.027 * * [simplify]: Extracting #11: cost 0 inf + 72658 109.036 * [simplify]: Simplified to (/ 1 (* (cbrt (pow (pow (* (* PI n) 2) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* (* PI n) 2) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))))) 109.036 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (* (cbrt (pow (pow (* (* PI n) 2) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* (* PI n) 2) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))))) (/ (sqrt k) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))))) 109.036 * [simplify]: Simplifying (/ (sqrt k) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 109.036 * * [simplify]: iters left: 6 (16 enodes) 109.041 * * [simplify]: iters left: 5 (65 enodes) 109.051 * * [simplify]: iters left: 4 (103 enodes) 109.077 * * [simplify]: iters left: 3 (169 enodes) 109.114 * * [simplify]: iters left: 2 (314 enodes) 109.221 * * [simplify]: Extracting #0: cost 1 inf + 0 109.221 * * [simplify]: Extracting #1: cost 4 inf + 0 109.221 * * [simplify]: Extracting #2: cost 8 inf + 0 109.221 * * [simplify]: Extracting #3: cost 19 inf + 1 109.222 * * [simplify]: Extracting #4: cost 71 inf + 84 109.222 * * [simplify]: Extracting #5: cost 138 inf + 171 109.223 * * [simplify]: Extracting #6: cost 112 inf + 7374 109.228 * * [simplify]: Extracting #7: cost 41 inf + 34695 109.235 * * [simplify]: Extracting #8: cost 3 inf + 64864 109.246 * * [simplify]: Extracting #9: cost 0 inf + 66972 109.263 * [simplify]: Simplified to (/ (sqrt k) (cbrt (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))) 109.263 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (* (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) (/ (sqrt k) (cbrt (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))))))) 109.264 * * * * [progress]: [ 175 / 209 ] simplifiying candidate # 109.264 * [simplify]: Simplifying (/ 1 (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 109.264 * * [simplify]: iters left: 6 (16 enodes) 109.273 * * [simplify]: iters left: 5 (65 enodes) 109.296 * * [simplify]: iters left: 4 (104 enodes) 109.314 * * [simplify]: iters left: 3 (169 enodes) 109.344 * * [simplify]: iters left: 2 (314 enodes) 109.452 * * [simplify]: Extracting #0: cost 1 inf + 0 109.452 * * [simplify]: Extracting #1: cost 4 inf + 0 109.452 * * [simplify]: Extracting #2: cost 6 inf + 1 109.452 * * [simplify]: Extracting #3: cost 22 inf + 1 109.453 * * [simplify]: Extracting #4: cost 84 inf + 2 109.453 * * [simplify]: Extracting #5: cost 145 inf + 7 109.454 * * [simplify]: Extracting #6: cost 164 inf + 137 109.456 * * [simplify]: Extracting #7: cost 156 inf + 718 109.460 * * [simplify]: Extracting #8: cost 93 inf + 16707 109.473 * * [simplify]: Extracting #9: cost 12 inf + 57787 109.491 * * [simplify]: Extracting #10: cost 0 inf + 67989 109.513 * [simplify]: Simplified to (/ 1 (sqrt (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))) 109.513 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))) (/ (sqrt k) (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))))) 109.513 * [simplify]: Simplifying (/ (sqrt k) (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 109.514 * * [simplify]: iters left: 6 (16 enodes) 109.522 * * [simplify]: iters left: 5 (65 enodes) 109.543 * * [simplify]: iters left: 4 (104 enodes) 109.576 * * [simplify]: iters left: 3 (169 enodes) 109.634 * * [simplify]: iters left: 2 (314 enodes) 109.751 * * [simplify]: Extracting #0: cost 1 inf + 0 109.752 * * [simplify]: Extracting #1: cost 4 inf + 0 109.752 * * [simplify]: Extracting #2: cost 9 inf + 0 109.752 * * [simplify]: Extracting #3: cost 24 inf + 1 109.752 * * [simplify]: Extracting #4: cost 85 inf + 84 109.753 * * [simplify]: Extracting #5: cost 133 inf + 1237 109.757 * * [simplify]: Extracting #6: cost 108 inf + 7852 109.765 * * [simplify]: Extracting #7: cost 35 inf + 40114 109.781 * * [simplify]: Extracting #8: cost 4 inf + 65087 109.802 * * [simplify]: Extracting #9: cost 0 inf + 68233 109.812 * [simplify]: Simplified to (/ (sqrt k) (sqrt (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2))))) 109.813 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) (/ (sqrt k) (sqrt (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (- 1/2 (/ (sqrt k) 2)))))))) 109.813 * * * * [progress]: [ 176 / 209 ] simplifiying candidate # 109.813 * [simplify]: Simplifying (/ 1 1) 109.813 * * [simplify]: iters left: 2 (2 enodes) 109.814 * * [simplify]: iters left: 1 (6 enodes) 109.815 * * [simplify]: Extracting #0: cost 1 inf + 0 109.815 * * [simplify]: Extracting #1: cost 0 inf + 1 109.815 * [simplify]: Simplified to 1 109.815 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))) 109.816 * [simplify]: Simplifying (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 109.816 * * [simplify]: iters left: 6 (15 enodes) 109.820 * * [simplify]: iters left: 5 (62 enodes) 109.829 * * [simplify]: iters left: 4 (102 enodes) 109.852 * * [simplify]: iters left: 3 (171 enodes) 109.905 * * [simplify]: iters left: 2 (325 enodes) 109.991 * * [simplify]: Extracting #0: cost 1 inf + 0 109.991 * * [simplify]: Extracting #1: cost 6 inf + 0 109.991 * * [simplify]: Extracting #2: cost 27 inf + 0 109.991 * * [simplify]: Extracting #3: cost 92 inf + 43 109.992 * * [simplify]: Extracting #4: cost 150 inf + 254 109.993 * * [simplify]: Extracting #5: cost 123 inf + 6029 109.998 * * [simplify]: Extracting #6: cost 76 inf + 16466 110.004 * * [simplify]: Extracting #7: cost 19 inf + 56560 110.017 * * [simplify]: Extracting #8: cost 0 inf + 73844 110.035 * [simplify]: Simplified to (/ (sqrt k) (pow (pow (* PI (* n 2)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) 110.035 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))))) 110.036 * * * * [progress]: [ 177 / 209 ] simplifiying candidate # 110.036 * [simplify]: Simplifying (/ 1 (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2))) 110.036 * * [simplify]: iters left: 6 (16 enodes) 110.045 * * [simplify]: iters left: 5 (68 enodes) 110.062 * * [simplify]: iters left: 4 (112 enodes) 110.081 * * [simplify]: iters left: 3 (188 enodes) 110.145 * * [simplify]: iters left: 2 (357 enodes) 110.261 * * [simplify]: Extracting #0: cost 1 inf + 0 110.261 * * [simplify]: Extracting #1: cost 6 inf + 0 110.261 * * [simplify]: Extracting #2: cost 24 inf + 1 110.261 * * [simplify]: Extracting #3: cost 98 inf + 2 110.262 * * [simplify]: Extracting #4: cost 166 inf + 9 110.263 * * [simplify]: Extracting #5: cost 187 inf + 181 110.266 * * [simplify]: Extracting #6: cost 151 inf + 5160 110.274 * * [simplify]: Extracting #7: cost 73 inf + 24791 110.289 * * [simplify]: Extracting #8: cost 20 inf + 56751 110.309 * * [simplify]: Extracting #9: cost 0 inf + 75088 110.323 * [simplify]: Simplified to (/ 1 (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 4))) 110.323 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 4))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)))))) 110.324 * [simplify]: Simplifying (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2))) 110.324 * * [simplify]: iters left: 6 (16 enodes) 110.328 * * [simplify]: iters left: 5 (68 enodes) 110.340 * * [simplify]: iters left: 4 (112 enodes) 110.375 * * [simplify]: iters left: 3 (188 enodes) 110.410 * * [simplify]: iters left: 2 (356 enodes) 110.514 * * [simplify]: Extracting #0: cost 1 inf + 0 110.514 * * [simplify]: Extracting #1: cost 6 inf + 0 110.514 * * [simplify]: Extracting #2: cost 28 inf + 0 110.515 * * [simplify]: Extracting #3: cost 101 inf + 43 110.516 * * [simplify]: Extracting #4: cost 163 inf + 338 110.519 * * [simplify]: Extracting #5: cost 130 inf + 7670 110.527 * * [simplify]: Extracting #6: cost 69 inf + 24327 110.543 * * [simplify]: Extracting #7: cost 19 inf + 60063 110.565 * * [simplify]: Extracting #8: cost 0 inf + 76950 110.576 * * [simplify]: Extracting #9: cost 0 inf + 76598 110.590 * [simplify]: Simplified to (/ (sqrt k) (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 4))) 110.591 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 4)))))) 110.591 * * * * [progress]: [ 178 / 209 ] simplifiying candidate # 110.591 * * * * [progress]: [ 179 / 209 ] simplifiying candidate # 110.591 * * * * [progress]: [ 180 / 209 ] simplifiying candidate # 110.591 * * * * [progress]: [ 181 / 209 ] simplifiying candidate # 110.591 * [simplify]: Simplifying (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) 110.592 * * [simplify]: iters left: 6 (12 enodes) 110.598 * * [simplify]: iters left: 5 (50 enodes) 110.614 * * [simplify]: iters left: 4 (80 enodes) 110.640 * * [simplify]: iters left: 3 (137 enodes) 110.683 * * [simplify]: iters left: 2 (280 enodes) 110.762 * * [simplify]: Extracting #0: cost 1 inf + 0 110.762 * * [simplify]: Extracting #1: cost 14 inf + 0 110.763 * * [simplify]: Extracting #2: cost 67 inf + 1 110.763 * * [simplify]: Extracting #3: cost 138 inf + 5 110.763 * * [simplify]: Extracting #4: cost 157 inf + 53 110.764 * * [simplify]: Extracting #5: cost 158 inf + 96 110.764 * * [simplify]: Extracting #6: cost 151 inf + 921 110.766 * * [simplify]: Extracting #7: cost 82 inf + 16330 110.773 * * [simplify]: Extracting #8: cost 8 inf + 59114 110.783 * * [simplify]: Extracting #9: cost 0 inf + 64901 110.791 * [simplify]: Simplified to (pow (pow (* 2 PI) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) 110.791 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (pow (pow (* 2 PI) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))))) 110.791 * * * * [progress]: [ 182 / 209 ] simplifiying candidate # 110.792 * [simplify]: Simplifying (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) 110.792 * * [simplify]: iters left: 6 (15 enodes) 110.796 * * [simplify]: iters left: 5 (62 enodes) 110.806 * * [simplify]: iters left: 4 (100 enodes) 110.833 * * [simplify]: iters left: 3 (166 enodes) 110.882 * * [simplify]: iters left: 2 (311 enodes) 110.982 * * [simplify]: Extracting #0: cost 1 inf + 0 110.983 * * [simplify]: Extracting #1: cost 14 inf + 0 110.983 * * [simplify]: Extracting #2: cost 56 inf + 1 110.983 * * [simplify]: Extracting #3: cost 98 inf + 6 110.983 * * [simplify]: Extracting #4: cost 140 inf + 10 110.984 * * [simplify]: Extracting #5: cost 154 inf + 261 110.985 * * [simplify]: Extracting #6: cost 93 inf + 11515 110.991 * * [simplify]: Extracting #7: cost 21 inf + 45152 111.002 * * [simplify]: Extracting #8: cost 1 inf + 64230 111.010 * * [simplify]: Extracting #9: cost 0 inf + 64905 111.019 * [simplify]: Simplified to (pow (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) 111.019 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2))) (pow (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2))))) 111.019 * * * * [progress]: [ 183 / 209 ] simplifiying candidate # 111.020 * [simplify]: Simplifying (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) 111.020 * * [simplify]: iters left: 6 (15 enodes) 111.024 * * [simplify]: iters left: 5 (62 enodes) 111.034 * * [simplify]: iters left: 4 (101 enodes) 111.054 * * [simplify]: iters left: 3 (167 enodes) 111.116 * * [simplify]: iters left: 2 (315 enodes) 111.195 * * [simplify]: Extracting #0: cost 1 inf + 0 111.195 * * [simplify]: Extracting #1: cost 14 inf + 0 111.195 * * [simplify]: Extracting #2: cost 59 inf + 1 111.195 * * [simplify]: Extracting #3: cost 106 inf + 6 111.196 * * [simplify]: Extracting #4: cost 152 inf + 10 111.196 * * [simplify]: Extracting #5: cost 159 inf + 262 111.201 * * [simplify]: Extracting #6: cost 82 inf + 19132 111.210 * * [simplify]: Extracting #7: cost 9 inf + 56261 111.219 * * [simplify]: Extracting #8: cost 0 inf + 63185 111.228 * * [simplify]: Extracting #9: cost 0 inf + 62662 111.238 * * [simplify]: Extracting #10: cost 0 inf + 62532 111.247 * [simplify]: Simplified to (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) 111.247 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2))))) 111.247 * * * * [progress]: [ 184 / 209 ] simplifiying candidate # 111.248 * [simplify]: Simplifying (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) 111.248 * * [simplify]: iters left: 6 (14 enodes) 111.252 * * [simplify]: iters left: 5 (59 enodes) 111.262 * * [simplify]: iters left: 4 (97 enodes) 111.284 * * [simplify]: iters left: 3 (163 enodes) 111.344 * * [simplify]: iters left: 2 (311 enodes) 111.418 * * [simplify]: Extracting #0: cost 1 inf + 0 111.418 * * [simplify]: Extracting #1: cost 14 inf + 0 111.418 * * [simplify]: Extracting #2: cost 66 inf + 1 111.419 * * [simplify]: Extracting #3: cost 136 inf + 6 111.419 * * [simplify]: Extracting #4: cost 156 inf + 179 111.420 * * [simplify]: Extracting #5: cost 148 inf + 881 111.423 * * [simplify]: Extracting #6: cost 70 inf + 22990 111.430 * * [simplify]: Extracting #7: cost 7 inf + 56563 111.444 * * [simplify]: Extracting #8: cost 0 inf + 61717 111.452 * * [simplify]: Extracting #9: cost 0 inf + 61677 111.460 * [simplify]: Simplified to (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) 111.461 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow 1 (/ (- 1 (sqrt k)) 2))) (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))))) 111.461 * * * * [progress]: [ 185 / 209 ] simplifiying candidate # 111.461 * [simplify]: Simplifying (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) 111.461 * * [simplify]: iters left: 6 (15 enodes) 111.466 * * [simplify]: iters left: 5 (64 enodes) 111.476 * * [simplify]: iters left: 4 (107 enodes) 111.513 * * [simplify]: iters left: 3 (172 enodes) 111.570 * * [simplify]: iters left: 2 (308 enodes) 111.661 * * [simplify]: Extracting #0: cost 1 inf + 0 111.661 * * [simplify]: Extracting #1: cost 13 inf + 0 111.661 * * [simplify]: Extracting #2: cost 65 inf + 1 111.662 * * [simplify]: Extracting #3: cost 139 inf + 5 111.662 * * [simplify]: Extracting #4: cost 162 inf + 179 111.663 * * [simplify]: Extracting #5: cost 158 inf + 472 111.665 * * [simplify]: Extracting #6: cost 102 inf + 8559 111.669 * * [simplify]: Extracting #7: cost 44 inf + 34459 111.678 * * [simplify]: Extracting #8: cost 1 inf + 72965 111.694 * * [simplify]: Extracting #9: cost 0 inf + 71959 111.711 * * [simplify]: Extracting #10: cost 0 inf + 71828 111.724 * [simplify]: Simplified to (pow (pow (* (* PI 2) n) (* 1/2 (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) 111.724 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2))) (pow (pow (* (* PI 2) n) (* 1/2 (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2))))) 111.724 * * * * [progress]: [ 186 / 209 ] simplifiying candidate # 111.725 * [simplify]: Simplifying (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 111.725 * * [simplify]: iters left: 6 (15 enodes) 111.729 * * [simplify]: iters left: 5 (62 enodes) 111.739 * * [simplify]: iters left: 4 (100 enodes) 111.764 * * [simplify]: iters left: 3 (166 enodes) 111.821 * * [simplify]: iters left: 2 (314 enodes) 111.902 * * [simplify]: Extracting #0: cost 1 inf + 0 111.902 * * [simplify]: Extracting #1: cost 3 inf + 0 111.902 * * [simplify]: Extracting #2: cost 16 inf + 0 111.903 * * [simplify]: Extracting #3: cost 68 inf + 1 111.903 * * [simplify]: Extracting #4: cost 136 inf + 6 111.905 * * [simplify]: Extracting #5: cost 158 inf + 137 111.906 * * [simplify]: Extracting #6: cost 150 inf + 637 111.910 * * [simplify]: Extracting #7: cost 81 inf + 14790 111.921 * * [simplify]: Extracting #8: cost 24 inf + 42009 111.938 * * [simplify]: Extracting #9: cost 0 inf + 60489 111.959 * * [simplify]: Extracting #10: cost 0 inf + 60148 111.969 * [simplify]: Simplified to (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) 111.969 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (* (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (cbrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) (cbrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))))) 111.969 * * * * [progress]: [ 187 / 209 ] simplifiying candidate # 111.970 * [simplify]: Simplifying (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) 111.970 * * [simplify]: iters left: 6 (15 enodes) 111.974 * * [simplify]: iters left: 5 (62 enodes) 111.984 * * [simplify]: iters left: 4 (101 enodes) 112.000 * * [simplify]: iters left: 3 (167 enodes) 112.047 * * [simplify]: iters left: 2 (315 enodes) 112.118 * * [simplify]: Extracting #0: cost 1 inf + 0 112.118 * * [simplify]: Extracting #1: cost 4 inf + 0 112.119 * * [simplify]: Extracting #2: cost 21 inf + 0 112.119 * * [simplify]: Extracting #3: cost 83 inf + 1 112.120 * * [simplify]: Extracting #4: cost 141 inf + 7 112.121 * * [simplify]: Extracting #5: cost 159 inf + 138 112.122 * * [simplify]: Extracting #6: cost 155 inf + 431 112.127 * * [simplify]: Extracting #7: cost 72 inf + 22328 112.145 * * [simplify]: Extracting #8: cost 9 inf + 59517 112.162 * * [simplify]: Extracting #9: cost 0 inf + 64941 112.179 * * [simplify]: Extracting #10: cost 0 inf + 64288 112.197 * [simplify]: Simplified to (sqrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))) 112.197 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) (sqrt (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)))))) 112.197 * * * * [progress]: [ 188 / 209 ] simplifiying candidate # 112.198 * [simplify]: Simplifying (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) 112.198 * * [simplify]: iters left: 6 (14 enodes) 112.205 * * [simplify]: iters left: 5 (59 enodes) 112.223 * * [simplify]: iters left: 4 (97 enodes) 112.238 * * [simplify]: iters left: 3 (163 enodes) 112.282 * * [simplify]: iters left: 2 (311 enodes) 112.346 * * [simplify]: Extracting #0: cost 1 inf + 0 112.346 * * [simplify]: Extracting #1: cost 14 inf + 0 112.346 * * [simplify]: Extracting #2: cost 66 inf + 1 112.346 * * [simplify]: Extracting #3: cost 136 inf + 6 112.347 * * [simplify]: Extracting #4: cost 156 inf + 179 112.348 * * [simplify]: Extracting #5: cost 148 inf + 881 112.350 * * [simplify]: Extracting #6: cost 70 inf + 22990 112.357 * * [simplify]: Extracting #7: cost 7 inf + 56563 112.369 * * [simplify]: Extracting #8: cost 0 inf + 61717 112.385 * * [simplify]: Extracting #9: cost 0 inf + 61677 112.403 * [simplify]: Simplified to (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) 112.403 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) 1) (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))))) 112.403 * * * * [progress]: [ 189 / 209 ] simplifiying candidate # 112.403 * [simplify]: Simplifying (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) 112.404 * * [simplify]: iters left: 6 (15 enodes) 112.412 * * [simplify]: iters left: 5 (65 enodes) 112.432 * * [simplify]: iters left: 4 (107 enodes) 112.451 * * [simplify]: iters left: 3 (179 enodes) 112.502 * * [simplify]: iters left: 2 (343 enodes) 112.574 * * [simplify]: Extracting #0: cost 1 inf + 0 112.574 * * [simplify]: Extracting #1: cost 13 inf + 0 112.575 * * [simplify]: Extracting #2: cost 73 inf + 1 112.575 * * [simplify]: Extracting #3: cost 153 inf + 7 112.576 * * [simplify]: Extracting #4: cost 178 inf + 139 112.577 * * [simplify]: Extracting #5: cost 135 inf + 6597 112.581 * * [simplify]: Extracting #6: cost 68 inf + 20653 112.591 * * [simplify]: Extracting #7: cost 12 inf + 56523 112.608 * * [simplify]: Extracting #8: cost 0 inf + 66990 112.626 * * [simplify]: Extracting #9: cost 0 inf + 66598 112.639 * [simplify]: Simplified to (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 4)) 112.639 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (/ (- 1 (sqrt k)) 2) 2))) (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 4))))) 112.639 * * * * [progress]: [ 190 / 209 ] simplifiying candidate # 112.639 * [simplify]: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 112.640 * * [simplify]: iters left: 4 (4 enodes) 112.640 * * [simplify]: iters left: 3 (12 enodes) 112.645 * * [simplify]: Extracting #0: cost 1 inf + 0 112.645 * * [simplify]: Extracting #1: cost 3 inf + 0 112.645 * * [simplify]: Extracting #2: cost 5 inf + 0 112.645 * * [simplify]: Extracting #3: cost 7 inf + 0 112.645 * * [simplify]: Extracting #4: cost 6 inf + 1 112.645 * * [simplify]: Extracting #5: cost 0 inf + 647 112.645 * [simplify]: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 112.645 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (cbrt (sqrt k)))))) 112.645 * * * * [progress]: [ 191 / 209 ] simplifiying candidate # 112.646 * [simplify]: Simplifying (sqrt (* (cbrt k) (cbrt k))) 112.646 * * [simplify]: iters left: 4 (4 enodes) 112.646 * * [simplify]: iters left: 3 (13 enodes) 112.648 * * [simplify]: Extracting #0: cost 1 inf + 0 112.648 * * [simplify]: Extracting #1: cost 4 inf + 0 112.648 * * [simplify]: Extracting #2: cost 7 inf + 0 112.648 * * [simplify]: Extracting #3: cost 6 inf + 1 112.648 * * [simplify]: Extracting #4: cost 0 inf + 647 112.648 * [simplify]: Simplified to (fabs (cbrt k)) 112.648 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (fabs (cbrt k)) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (cbrt k)))))) 112.648 * * * * [progress]: [ 192 / 209 ] simplifiying candidate # 112.649 * [simplify]: Simplifying (sqrt (sqrt k)) 112.649 * * [simplify]: iters left: 2 (3 enodes) 112.649 * * [simplify]: iters left: 1 (9 enodes) 112.650 * * [simplify]: Extracting #0: cost 1 inf + 0 112.650 * * [simplify]: Extracting #1: cost 3 inf + 0 112.650 * * [simplify]: Extracting #2: cost 5 inf + 0 112.650 * * [simplify]: Extracting #3: cost 4 inf + 1 112.651 * * [simplify]: Extracting #4: cost 0 inf + 245 112.651 * [simplify]: Simplified to (sqrt (sqrt k)) 112.651 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (sqrt (sqrt k)) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k)))))) 112.651 * * * * [progress]: [ 193 / 209 ] simplifiying candidate # 112.651 * [simplify]: Simplifying (sqrt 1) 112.651 * * [simplify]: iters left: 1 (2 enodes) 112.653 * * [simplify]: Extracting #0: cost 1 inf + 0 112.653 * * [simplify]: Extracting #1: cost 0 inf + 1 112.653 * [simplify]: Simplified to 1 112.653 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (/ 1 (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k))))) 112.653 * * * * [progress]: [ 194 / 209 ] simplifiying candidate # 112.654 * [simplify]: Simplifying (sqrt (sqrt k)) 112.654 * * [simplify]: iters left: 2 (3 enodes) 112.654 * * [simplify]: iters left: 1 (9 enodes) 112.655 * * [simplify]: Extracting #0: cost 1 inf + 0 112.655 * * [simplify]: Extracting #1: cost 3 inf + 0 112.655 * * [simplify]: Extracting #2: cost 5 inf + 0 112.655 * * [simplify]: Extracting #3: cost 4 inf + 1 112.655 * * [simplify]: Extracting #4: cost 0 inf + 245 112.656 * [simplify]: Simplified to (sqrt (sqrt k)) 112.656 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (sqrt (sqrt k)) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt (sqrt k)))))) 112.656 * * * * [progress]: [ 195 / 209 ] simplifiying candidate # 112.656 * * * * [progress]: [ 196 / 209 ] simplifiying candidate # 112.656 * [simplify]: Simplifying (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (sqrt k) 2)) 112.656 * * [simplify]: iters left: 6 (13 enodes) 112.659 * * [simplify]: iters left: 5 (50 enodes) 112.669 * * [simplify]: iters left: 4 (81 enodes) 112.695 * * [simplify]: iters left: 3 (136 enodes) 112.742 * * [simplify]: iters left: 2 (257 enodes) 112.811 * * [simplify]: Extracting #0: cost 1 inf + 0 112.811 * * [simplify]: Extracting #1: cost 13 inf + 0 112.812 * * [simplify]: Extracting #2: cost 63 inf + 1 112.812 * * [simplify]: Extracting #3: cost 125 inf + 5 112.813 * * [simplify]: Extracting #4: cost 134 inf + 507 112.819 * * [simplify]: Extracting #5: cost 59 inf + 22010 112.833 * * [simplify]: Extracting #6: cost 3 inf + 53599 112.850 * * [simplify]: Extracting #7: cost 0 inf + 56180 112.867 * [simplify]: Simplified to (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (sqrt k) 2)) 112.867 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ 1 2))) (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (sqrt k) 2))))) 112.867 * * * * [progress]: [ 197 / 209 ] simplifiying candidate #real (real->posit16 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))))> 112.867 * * * * [progress]: [ 198 / 209 ] simplifiying candidate # 112.868 * [simplify]: Simplifying (- (exp (+ (log n) (log (* 2 PI)))) (+ (* +nan.0 (* k (* (exp (+ (log n) (log (* 2 PI)))) (log (* 2 PI))))) (- (+ (* +nan.0 (* k (* (log n) (exp (+ (log n) (log (* 2 PI))))))) (- (+ (* +nan.0 (* (log n) (* (log (* 2 PI)) (* (exp (+ (log n) (log (* 2 PI)))) (pow k 2))))) (- (+ (* +nan.0 (* (exp (+ (log n) (log (* 2 PI)))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (+ (log n) (log (* 2 PI)))) (pow k 2)))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (+ (log n) (log (* 2 PI)))) (pow k 2)))) (- (* +nan.0 (* (exp (+ (log n) (log (* 2 PI)))) (* (pow (log n) 2) (pow k 2))))))))))))))))) 112.868 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow +nan.0 (/ (- 1 (sqrt k)) 2))))) 112.869 * * * * [progress]: [ 199 / 209 ] simplifiying candidate # 112.869 * [simplify]: Simplifying (- (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (* (log (/ 1 n)) (log (* 2 PI)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (* 2 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (/ 1 n)) 2)) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n))) (pow k 2)))))))))))))))) 112.869 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow +nan.0 (/ (- 1 (sqrt k)) 2))))) 112.870 * * * * [progress]: [ 200 / 209 ] simplifiying candidate # 112.870 * [simplify]: Simplifying (- (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (/ (* (pow (log (/ -1 n)) 2) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (pow (log (* -2 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI))) (pow k 2)))))))))))))))) 112.870 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow +nan.0 (/ (- 1 (sqrt k)) 2))))) 112.871 * * * * [progress]: [ 201 / 209 ] simplifiying candidate # 112.871 * [simplify]: Simplifying (- (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))))))))))))) 112.871 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) +nan.0))) 112.872 * * * * [progress]: [ 202 / 209 ] simplifiying candidate # 112.872 * [simplify]: Simplifying (- (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (* (log (/ 1 n)) (log (* 2 PI)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (* 2 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (/ 1 n)) 2)) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n))) (pow k 2)))))))))))))))) 112.873 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) +nan.0))) 112.873 * * * * [progress]: [ 203 / 209 ] simplifiying candidate # 112.874 * [simplify]: Simplifying (- (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (/ (* (pow (log (/ -1 n)) 2) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (pow (log (* -2 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI))) (pow k 2)))))))))))))))) 112.874 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) +nan.0))) 112.874 * * * * [progress]: [ 204 / 209 ] simplifiying candidate # 112.875 * [simplify]: Simplifying (* 2 (* n PI)) 112.875 * * [simplify]: iters left: 4 (5 enodes) 112.878 * * [simplify]: iters left: 3 (19 enodes) 112.883 * * [simplify]: iters left: 2 (27 enodes) 112.895 * * [simplify]: iters left: 1 (32 enodes) 112.903 * * [simplify]: Extracting #0: cost 1 inf + 0 112.903 * * [simplify]: Extracting #1: cost 8 inf + 0 112.903 * * [simplify]: Extracting #2: cost 7 inf + 45 112.903 * * [simplify]: Extracting #3: cost 0 inf + 421 112.904 * [simplify]: Simplified to (* (* PI n) 2) 112.904 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* PI n) 2) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) 112.904 * * * * [progress]: [ 205 / 209 ] simplifiying candidate # 112.904 * [simplify]: Simplifying (* 2 (* n PI)) 112.904 * * [simplify]: iters left: 4 (5 enodes) 112.907 * * [simplify]: iters left: 3 (19 enodes) 112.913 * * [simplify]: iters left: 2 (27 enodes) 112.921 * * [simplify]: iters left: 1 (32 enodes) 112.929 * * [simplify]: Extracting #0: cost 1 inf + 0 112.929 * * [simplify]: Extracting #1: cost 8 inf + 0 112.929 * * [simplify]: Extracting #2: cost 7 inf + 45 112.930 * * [simplify]: Extracting #3: cost 0 inf + 421 112.930 * [simplify]: Simplified to (* (* PI n) 2) 112.930 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* PI n) 2) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) 112.930 * * * * [progress]: [ 206 / 209 ] simplifiying candidate # 112.930 * [simplify]: Simplifying (* 2 (* n PI)) 112.931 * * [simplify]: iters left: 4 (5 enodes) 112.933 * * [simplify]: iters left: 3 (19 enodes) 112.939 * * [simplify]: iters left: 2 (27 enodes) 112.948 * * [simplify]: iters left: 1 (32 enodes) 112.955 * * [simplify]: Extracting #0: cost 1 inf + 0 112.955 * * [simplify]: Extracting #1: cost 8 inf + 0 112.955 * * [simplify]: Extracting #2: cost 7 inf + 45 112.956 * * [simplify]: Extracting #3: cost 0 inf + 421 112.956 * [simplify]: Simplified to (* (* PI n) 2) 112.956 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* PI n) 2) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) 112.956 * * * * [progress]: [ 207 / 209 ] simplifiying candidate # 112.957 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) PI)) (- (+ (* +nan.0 (/ (* (sqrt 1/2) (pow k 2)) PI)) (- (+ (* +nan.0 (/ (* n (* (sqrt 1/2) k)) (pow PI 2))) (- (+ (* +nan.0 (/ (* (log n) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2)))) PI)) (- (* +nan.0 (/ (* (sqrt 1/2) k) PI))))))))))) 112.957 * [simplify]: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 112.957 * * * * [progress]: [ 208 / 209 ] simplifiying candidate # 112.957 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (log (* 2 PI)) (* (pow k 2) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI)))))))))) (- (+ (* +nan.0 (/ (log (/ 1 n)) (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow k 2)))) (- (+ (* +nan.0 (/ (* (log (/ 1 n)) (log (* 2 PI))) (* (pow k 2) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI)))))))))) (- (+ (* +nan.0 (/ (log (/ 1 n)) (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) k))) (- (+ (* +nan.0 (/ (pow (log (* 2 PI)) 2) (* (pow k 2) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI)))))))))) (- (+ (* +nan.0 (/ 1 (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow k 2)))) (- (+ (* +nan.0 (/ (log (* 2 PI)) (* k (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI)))))))))) (- (+ (* +nan.0 (/ 1 (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) k))) (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))))) (- (* +nan.0 (/ (pow (log (/ 1 n)) 2) (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow k 2))))))))))))))))))))))) 112.957 * [simplify]: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 112.958 * * * * [progress]: [ 209 / 209 ] simplifiying candidate # 112.959 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (log (* -2 PI)) (* (pow k 2) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))))) (- (+ (* +nan.0 (/ (log (/ -1 n)) (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (pow k 2)))) (- (+ (* +nan.0 (/ (pow (log (* -2 PI)) 2) (* (pow k 2) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))))) (- (+ (* +nan.0 (/ (log (* -2 PI)) (* k (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))))) (- (+ (* +nan.0 (/ 1 (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) k))) (- (+ (* +nan.0 (/ 1 (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (log (* -2 PI))) (* (pow k 2) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))))) (- (+ (* +nan.0 (/ (pow (log (/ -1 n)) 2) (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (pow k 2)))) (- (* +nan.0 (/ (log (/ -1 n)) (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) k)))))))))))))))))))))) 112.959 * [simplify]: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 112.960 * * * [progress]: adding candidates to table 115.822 * * [progress]: iteration 4 / 4 115.822 * * * [progress]: picking best candidate 115.848 * * * * [pick]: Picked # 115.848 * * * [progress]: localizing error 115.901 * * * [progress]: generating rewritten candidates 115.901 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 115.920 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 115.932 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 115.957 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 115.970 * * * [progress]: generating series expansions 115.970 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 115.971 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) into (pow (* 2 (* n PI)) (+ (sqrt k) 1)) 115.971 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (+ (sqrt k) 1)) in (n k) around 0 115.971 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (+ (sqrt k) 1)) in k 115.971 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) 1) (log (* 2 (* n PI))))) in k 115.971 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (log (* 2 (* n PI)))) in k 115.971 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in k 115.971 * [taylor]: Taking taylor expansion of (sqrt k) in k 115.971 * [taylor]: Taking taylor expansion of k in k 115.971 * [backup-simplify]: Simplify 0 into 0 115.971 * [backup-simplify]: Simplify 1 into 1 115.972 * [backup-simplify]: Simplify (sqrt 0) into 0 115.973 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 115.973 * [taylor]: Taking taylor expansion of 1 in k 115.973 * [backup-simplify]: Simplify 1 into 1 115.973 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 115.973 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 115.973 * [taylor]: Taking taylor expansion of 2 in k 115.973 * [backup-simplify]: Simplify 2 into 2 115.973 * [taylor]: Taking taylor expansion of (* n PI) in k 115.973 * [taylor]: Taking taylor expansion of n in k 115.974 * [backup-simplify]: Simplify n into n 115.974 * [taylor]: Taking taylor expansion of PI in k 115.974 * [backup-simplify]: Simplify PI into PI 115.974 * [backup-simplify]: Simplify (* n PI) into (* n PI) 115.974 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 115.974 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 115.974 * [backup-simplify]: Simplify (+ 0 1) into 1 115.974 * [backup-simplify]: Simplify (* 1 (log (* 2 (* n PI)))) into (log (* 2 (* n PI))) 115.974 * [backup-simplify]: Simplify (exp (log (* 2 (* n PI)))) into (* 2 (* n PI)) 115.974 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (+ (sqrt k) 1)) in n 115.975 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) 1) (log (* 2 (* n PI))))) in n 115.975 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (log (* 2 (* n PI)))) in n 115.975 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in n 115.975 * [taylor]: Taking taylor expansion of (sqrt k) in n 115.975 * [taylor]: Taking taylor expansion of k in n 115.975 * [backup-simplify]: Simplify k into k 115.975 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 115.975 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 115.975 * [taylor]: Taking taylor expansion of 1 in n 115.975 * [backup-simplify]: Simplify 1 into 1 115.975 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 115.975 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 115.975 * [taylor]: Taking taylor expansion of 2 in n 115.975 * [backup-simplify]: Simplify 2 into 2 115.975 * [taylor]: Taking taylor expansion of (* n PI) in n 115.975 * [taylor]: Taking taylor expansion of n in n 115.975 * [backup-simplify]: Simplify 0 into 0 115.975 * [backup-simplify]: Simplify 1 into 1 115.975 * [taylor]: Taking taylor expansion of PI in n 115.975 * [backup-simplify]: Simplify PI into PI 115.976 * [backup-simplify]: Simplify (* 0 PI) into 0 115.976 * [backup-simplify]: Simplify (* 2 0) into 0 115.977 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 115.979 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 115.980 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 115.980 * [backup-simplify]: Simplify (+ (sqrt k) 1) into (+ (sqrt k) 1) 115.981 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 115.982 * [backup-simplify]: Simplify (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) into (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) 115.984 * [backup-simplify]: Simplify (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) into (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 115.984 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (+ (sqrt k) 1)) in n 115.984 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) 1) (log (* 2 (* n PI))))) in n 115.984 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (log (* 2 (* n PI)))) in n 115.984 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in n 115.984 * [taylor]: Taking taylor expansion of (sqrt k) in n 115.984 * [taylor]: Taking taylor expansion of k in n 115.984 * [backup-simplify]: Simplify k into k 115.984 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 115.984 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 115.984 * [taylor]: Taking taylor expansion of 1 in n 115.984 * [backup-simplify]: Simplify 1 into 1 115.984 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 115.984 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 115.984 * [taylor]: Taking taylor expansion of 2 in n 115.984 * [backup-simplify]: Simplify 2 into 2 115.984 * [taylor]: Taking taylor expansion of (* n PI) in n 115.984 * [taylor]: Taking taylor expansion of n in n 115.984 * [backup-simplify]: Simplify 0 into 0 115.984 * [backup-simplify]: Simplify 1 into 1 115.984 * [taylor]: Taking taylor expansion of PI in n 115.984 * [backup-simplify]: Simplify PI into PI 115.985 * [backup-simplify]: Simplify (* 0 PI) into 0 115.985 * [backup-simplify]: Simplify (* 2 0) into 0 115.987 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 115.988 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 115.989 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 115.989 * [backup-simplify]: Simplify (+ (sqrt k) 1) into (+ (sqrt k) 1) 115.990 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 115.991 * [backup-simplify]: Simplify (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) into (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) 115.992 * [backup-simplify]: Simplify (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) into (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 115.993 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) in k 115.993 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) in k 115.993 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in k 115.993 * [taylor]: Taking taylor expansion of (sqrt k) in k 115.993 * [taylor]: Taking taylor expansion of k in k 115.993 * [backup-simplify]: Simplify 0 into 0 115.993 * [backup-simplify]: Simplify 1 into 1 115.993 * [backup-simplify]: Simplify (sqrt 0) into 0 115.994 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 115.994 * [taylor]: Taking taylor expansion of 1 in k 115.994 * [backup-simplify]: Simplify 1 into 1 115.994 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 115.994 * [taylor]: Taking taylor expansion of (log n) in k 115.994 * [taylor]: Taking taylor expansion of n in k 115.995 * [backup-simplify]: Simplify n into n 115.995 * [backup-simplify]: Simplify (log n) into (log n) 115.995 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 115.995 * [taylor]: Taking taylor expansion of (* 2 PI) in k 115.995 * [taylor]: Taking taylor expansion of 2 in k 115.995 * [backup-simplify]: Simplify 2 into 2 115.995 * [taylor]: Taking taylor expansion of PI in k 115.995 * [backup-simplify]: Simplify PI into PI 115.995 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 115.996 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 115.996 * [backup-simplify]: Simplify (+ 0 1) into 1 115.997 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 115.998 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 115.999 * [backup-simplify]: Simplify (exp (+ (log n) (log (* 2 PI)))) into (exp (+ (log n) (log (* 2 PI)))) 116.000 * [backup-simplify]: Simplify (exp (+ (log n) (log (* 2 PI)))) into (exp (+ (log n) (log (* 2 PI)))) 116.001 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 116.002 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 116.004 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 116.005 * [backup-simplify]: Simplify (+ 0 0) into 0 116.006 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 116.007 * [backup-simplify]: Simplify (+ (* (+ (sqrt k) 1) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 116.014 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 116.014 * [taylor]: Taking taylor expansion of 0 in k 116.014 * [backup-simplify]: Simplify 0 into 0 116.014 * [backup-simplify]: Simplify 0 into 0 116.015 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 116.016 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 116.018 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 116.018 * [backup-simplify]: Simplify (+ 0 0) into 0 116.019 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 116.020 * [backup-simplify]: Simplify (+ (* 1 0) (* (- +nan.0) (+ (log n) (log (* 2 PI))))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 116.023 * [backup-simplify]: Simplify (* (exp (+ (log n) (log (* 2 PI)))) (+ (* (/ (pow (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (+ (log n) (log (* 2 PI)))))) 116.027 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (+ (log n) (log (* 2 PI)))))) into (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (+ (log n) (log (* 2 PI))))) 116.028 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 116.029 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 116.032 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 116.033 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 116.033 * [backup-simplify]: Simplify (+ 0 0) into 0 116.035 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 116.036 * [backup-simplify]: Simplify (+ (* (+ (sqrt k) 1) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 116.038 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 116.039 * [taylor]: Taking taylor expansion of 0 in k 116.039 * [backup-simplify]: Simplify 0 into 0 116.039 * [backup-simplify]: Simplify 0 into 0 116.039 * [backup-simplify]: Simplify 0 into 0 116.040 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 116.041 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 116.044 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 116.045 * [backup-simplify]: Simplify (+ 0 0) into 0 116.048 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 116.048 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 116.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (+ (log n) (log (* 2 PI)))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 116.057 * [backup-simplify]: Simplify (* (exp (+ (log n) (log (* 2 PI)))) (+ (* (/ (pow (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (+ (log n) (log (* 2 PI)))))) 116.063 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (+ (log n) (log (* 2 PI)))))) into (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log (* 2 PI))))))))))) (exp (+ (log n) (log (* 2 PI))))) 116.079 * [backup-simplify]: Simplify (+ (* (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log (* 2 PI))))))))))) (exp (+ (log n) (log (* 2 PI))))) (pow (* k 1) 2)) (+ (* (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (+ (log n) (log (* 2 PI))))) (* k 1)) (exp (+ (log n) (log (* 2 PI)))))) into (- (exp (+ (log n) (log (* 2 PI)))) (+ (* +nan.0 (* k (* (exp (+ (log n) (log (* 2 PI)))) (log (* 2 PI))))) (- (+ (* +nan.0 (* k (* (log n) (exp (+ (log n) (log (* 2 PI))))))) (- (+ (* +nan.0 (* (log n) (* (log (* 2 PI)) (* (exp (+ (log n) (log (* 2 PI)))) (pow k 2))))) (- (+ (* +nan.0 (* (exp (+ (log n) (log (* 2 PI)))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (+ (log n) (log (* 2 PI)))) (pow k 2)))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (+ (log n) (log (* 2 PI)))) (pow k 2)))) (- (* +nan.0 (* (exp (+ (log n) (log (* 2 PI)))) (* (pow (log n) 2) (pow k 2))))))))))))))))) 116.080 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (+ 1 (sqrt (/ 1 k))) 1)) into (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) 116.080 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) in (n k) around 0 116.080 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) in k 116.080 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n))))) in k 116.080 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n)))) in k 116.080 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in k 116.080 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 116.080 * [taylor]: Taking taylor expansion of (/ 1 k) in k 116.080 * [taylor]: Taking taylor expansion of k in k 116.080 * [backup-simplify]: Simplify 0 into 0 116.080 * [backup-simplify]: Simplify 1 into 1 116.081 * [backup-simplify]: Simplify (/ 1 1) into 1 116.081 * [backup-simplify]: Simplify (sqrt 0) into 0 116.082 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 116.082 * [taylor]: Taking taylor expansion of 1 in k 116.082 * [backup-simplify]: Simplify 1 into 1 116.082 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 116.082 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 116.082 * [taylor]: Taking taylor expansion of 2 in k 116.083 * [backup-simplify]: Simplify 2 into 2 116.083 * [taylor]: Taking taylor expansion of (/ PI n) in k 116.083 * [taylor]: Taking taylor expansion of PI in k 116.083 * [backup-simplify]: Simplify PI into PI 116.083 * [taylor]: Taking taylor expansion of n in k 116.083 * [backup-simplify]: Simplify n into n 116.083 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 116.083 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 116.083 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 116.083 * [backup-simplify]: Simplify (+ 0 0) into 0 116.083 * [backup-simplify]: Simplify (* 0 (log (* 2 (/ PI n)))) into 0 116.083 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 116.084 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ PI n))) into 0 116.084 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (/ PI n)) 1)))) 1) into 0 116.084 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 116.085 * [backup-simplify]: Simplify (+ (* 0 0) (* (- +nan.0) (log (* 2 (/ PI n))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 116.085 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 116.085 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) in n 116.085 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n))))) in n 116.085 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n)))) in n 116.085 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in n 116.085 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 116.085 * [taylor]: Taking taylor expansion of (/ 1 k) in n 116.085 * [taylor]: Taking taylor expansion of k in n 116.085 * [backup-simplify]: Simplify k into k 116.085 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 116.085 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 116.085 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 116.085 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 116.085 * [taylor]: Taking taylor expansion of 1 in n 116.085 * [backup-simplify]: Simplify 1 into 1 116.085 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 116.085 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 116.085 * [taylor]: Taking taylor expansion of 2 in n 116.085 * [backup-simplify]: Simplify 2 into 2 116.085 * [taylor]: Taking taylor expansion of (/ PI n) in n 116.085 * [taylor]: Taking taylor expansion of PI in n 116.086 * [backup-simplify]: Simplify PI into PI 116.086 * [taylor]: Taking taylor expansion of n in n 116.086 * [backup-simplify]: Simplify 0 into 0 116.086 * [backup-simplify]: Simplify 1 into 1 116.086 * [backup-simplify]: Simplify (/ PI 1) into PI 116.086 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 116.087 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 116.087 * [backup-simplify]: Simplify (+ (sqrt (/ 1 k)) 1) into (+ (sqrt (/ 1 k)) 1) 116.088 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 116.088 * [backup-simplify]: Simplify (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) into (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) 116.089 * [backup-simplify]: Simplify (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) into (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 116.089 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) in n 116.089 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n))))) in n 116.089 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n)))) in n 116.089 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in n 116.089 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 116.089 * [taylor]: Taking taylor expansion of (/ 1 k) in n 116.089 * [taylor]: Taking taylor expansion of k in n 116.089 * [backup-simplify]: Simplify k into k 116.089 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 116.089 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 116.089 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 116.089 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 116.089 * [taylor]: Taking taylor expansion of 1 in n 116.089 * [backup-simplify]: Simplify 1 into 1 116.089 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 116.089 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 116.089 * [taylor]: Taking taylor expansion of 2 in n 116.089 * [backup-simplify]: Simplify 2 into 2 116.089 * [taylor]: Taking taylor expansion of (/ PI n) in n 116.089 * [taylor]: Taking taylor expansion of PI in n 116.089 * [backup-simplify]: Simplify PI into PI 116.089 * [taylor]: Taking taylor expansion of n in n 116.089 * [backup-simplify]: Simplify 0 into 0 116.089 * [backup-simplify]: Simplify 1 into 1 116.090 * [backup-simplify]: Simplify (/ PI 1) into PI 116.090 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 116.091 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 116.091 * [backup-simplify]: Simplify (+ (sqrt (/ 1 k)) 1) into (+ (sqrt (/ 1 k)) 1) 116.092 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 116.092 * [backup-simplify]: Simplify (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) into (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) 116.093 * [backup-simplify]: Simplify (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) into (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 116.093 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) in k 116.093 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) in k 116.093 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in k 116.093 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 116.093 * [taylor]: Taking taylor expansion of (/ 1 k) in k 116.093 * [taylor]: Taking taylor expansion of k in k 116.093 * [backup-simplify]: Simplify 0 into 0 116.093 * [backup-simplify]: Simplify 1 into 1 116.093 * [backup-simplify]: Simplify (/ 1 1) into 1 116.093 * [backup-simplify]: Simplify (sqrt 0) into 0 116.094 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 116.094 * [taylor]: Taking taylor expansion of 1 in k 116.094 * [backup-simplify]: Simplify 1 into 1 116.094 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 116.094 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 116.094 * [taylor]: Taking taylor expansion of (* 2 PI) in k 116.094 * [taylor]: Taking taylor expansion of 2 in k 116.094 * [backup-simplify]: Simplify 2 into 2 116.094 * [taylor]: Taking taylor expansion of PI in k 116.094 * [backup-simplify]: Simplify PI into PI 116.095 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 116.095 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 116.095 * [taylor]: Taking taylor expansion of (log n) in k 116.095 * [taylor]: Taking taylor expansion of n in k 116.095 * [backup-simplify]: Simplify n into n 116.095 * [backup-simplify]: Simplify (log n) into (log n) 116.096 * [backup-simplify]: Simplify (+ 0 0) into 0 116.096 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 116.096 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 116.097 * [backup-simplify]: Simplify (* 0 (- (log (* 2 PI)) (log n))) into 0 116.097 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 116.098 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 116.099 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 116.099 * [backup-simplify]: Simplify (- 0) into 0 116.099 * [backup-simplify]: Simplify (+ 0 0) into 0 116.099 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 116.101 * [backup-simplify]: Simplify (+ (* 0 0) (* (- +nan.0) (- (log (* 2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 116.102 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) 116.104 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) 116.104 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 116.105 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 116.105 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 116.106 * [backup-simplify]: Simplify (+ 0 0) into 0 116.107 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 116.107 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ 1 k)) 1) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 116.108 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 116.108 * [taylor]: Taking taylor expansion of 0 in k 116.108 * [backup-simplify]: Simplify 0 into 0 116.108 * [backup-simplify]: Simplify 0 into 0 116.109 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 116.112 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 116.113 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 116.114 * [backup-simplify]: Simplify (- 0) into 0 116.114 * [backup-simplify]: Simplify (+ 0 0) into 0 116.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 116.118 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 116.119 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 116.121 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (- (log (* 2 PI)) (log n))))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 116.126 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) 116.136 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) into (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) 116.137 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 116.137 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 116.139 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 116.139 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 116.140 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 116.140 * [backup-simplify]: Simplify (+ 0 0) into 0 116.141 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 116.141 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ 1 k)) 1) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 116.143 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 116.143 * [taylor]: Taking taylor expansion of 0 in k 116.143 * [backup-simplify]: Simplify 0 into 0 116.143 * [backup-simplify]: Simplify 0 into 0 116.143 * [backup-simplify]: Simplify 0 into 0 116.144 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 116.147 * [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 0 116.148 * [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 0 116.148 * [backup-simplify]: Simplify (- 0) into 0 116.149 * [backup-simplify]: Simplify (+ 0 0) into 0 116.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 116.151 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 116.152 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 116.153 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (- (log (* 2 PI)) (log n)))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 116.157 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) 116.163 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) into (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log (* 2 PI))))))))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) 116.181 * [backup-simplify]: Simplify (+ (* (* (+ (* +nan.0 (pow (log (/ 1 n)) 2)) (- (+ (* +nan.0 (* (log (/ 1 n)) (log (* 2 PI)))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log (* 2 PI))))))))))) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI)))))))) (pow (* (/ 1 k) 1) 2)) (+ (* (* (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI)))))))) (* (/ 1 k) 1)) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))))) into (- (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (* (log (/ 1 n)) (log (* 2 PI)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (* 2 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (/ 1 n)) 2)) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n))) (pow k 2)))))))))))))))) 116.182 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (+ 1 (sqrt (/ 1 (- k)))) 1)) into (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) 116.182 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) in (n k) around 0 116.182 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) in k 116.182 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n))))) in k 116.182 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n)))) in k 116.182 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in k 116.182 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 116.182 * [taylor]: Taking taylor expansion of (/ -1 k) in k 116.182 * [taylor]: Taking taylor expansion of -1 in k 116.182 * [backup-simplify]: Simplify -1 into -1 116.182 * [taylor]: Taking taylor expansion of k in k 116.182 * [backup-simplify]: Simplify 0 into 0 116.182 * [backup-simplify]: Simplify 1 into 1 116.182 * [backup-simplify]: Simplify (/ -1 1) into -1 116.183 * [backup-simplify]: Simplify (sqrt 0) into 0 116.184 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 116.184 * [taylor]: Taking taylor expansion of 1 in k 116.184 * [backup-simplify]: Simplify 1 into 1 116.184 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 116.184 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 116.184 * [taylor]: Taking taylor expansion of -2 in k 116.184 * [backup-simplify]: Simplify -2 into -2 116.184 * [taylor]: Taking taylor expansion of (/ PI n) in k 116.184 * [taylor]: Taking taylor expansion of PI in k 116.184 * [backup-simplify]: Simplify PI into PI 116.184 * [taylor]: Taking taylor expansion of n in k 116.184 * [backup-simplify]: Simplify n into n 116.184 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 116.184 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 116.184 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 116.184 * [backup-simplify]: Simplify (+ 0 0) into 0 116.184 * [backup-simplify]: Simplify (* 0 (log (* -2 (/ PI n)))) into 0 116.184 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 116.185 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (/ PI n))) into 0 116.185 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 (/ PI n)) 1)))) 1) into 0 116.185 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 116.186 * [backup-simplify]: Simplify (+ (* 0 0) (* (- +nan.0) (log (* -2 (/ PI n))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 116.186 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) 116.186 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) in n 116.186 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n))))) in n 116.186 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n)))) in n 116.186 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in n 116.186 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 116.186 * [taylor]: Taking taylor expansion of (/ -1 k) in n 116.186 * [taylor]: Taking taylor expansion of -1 in n 116.186 * [backup-simplify]: Simplify -1 into -1 116.186 * [taylor]: Taking taylor expansion of k in n 116.186 * [backup-simplify]: Simplify k into k 116.186 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 116.186 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 116.186 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 116.186 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 116.186 * [taylor]: Taking taylor expansion of 1 in n 116.186 * [backup-simplify]: Simplify 1 into 1 116.186 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 116.186 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 116.186 * [taylor]: Taking taylor expansion of -2 in n 116.186 * [backup-simplify]: Simplify -2 into -2 116.186 * [taylor]: Taking taylor expansion of (/ PI n) in n 116.186 * [taylor]: Taking taylor expansion of PI in n 116.186 * [backup-simplify]: Simplify PI into PI 116.187 * [taylor]: Taking taylor expansion of n in n 116.187 * [backup-simplify]: Simplify 0 into 0 116.187 * [backup-simplify]: Simplify 1 into 1 116.187 * [backup-simplify]: Simplify (/ PI 1) into PI 116.187 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 116.188 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 116.188 * [backup-simplify]: Simplify (+ (sqrt (/ -1 k)) 1) into (+ (sqrt (/ -1 k)) 1) 116.189 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 116.189 * [backup-simplify]: Simplify (* (+ (sqrt (/ -1 k)) 1) (- (log (* -2 PI)) (log n))) into (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) 116.190 * [backup-simplify]: Simplify (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) into (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) 116.190 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) in n 116.190 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n))))) in n 116.190 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n)))) in n 116.190 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in n 116.190 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 116.190 * [taylor]: Taking taylor expansion of (/ -1 k) in n 116.190 * [taylor]: Taking taylor expansion of -1 in n 116.190 * [backup-simplify]: Simplify -1 into -1 116.190 * [taylor]: Taking taylor expansion of k in n 116.190 * [backup-simplify]: Simplify k into k 116.190 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 116.190 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 116.190 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 116.190 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 116.190 * [taylor]: Taking taylor expansion of 1 in n 116.190 * [backup-simplify]: Simplify 1 into 1 116.190 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 116.191 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 116.191 * [taylor]: Taking taylor expansion of -2 in n 116.191 * [backup-simplify]: Simplify -2 into -2 116.191 * [taylor]: Taking taylor expansion of (/ PI n) in n 116.191 * [taylor]: Taking taylor expansion of PI in n 116.191 * [backup-simplify]: Simplify PI into PI 116.191 * [taylor]: Taking taylor expansion of n in n 116.191 * [backup-simplify]: Simplify 0 into 0 116.191 * [backup-simplify]: Simplify 1 into 1 116.191 * [backup-simplify]: Simplify (/ PI 1) into PI 116.191 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 116.192 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 116.192 * [backup-simplify]: Simplify (+ (sqrt (/ -1 k)) 1) into (+ (sqrt (/ -1 k)) 1) 116.193 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 116.193 * [backup-simplify]: Simplify (* (+ (sqrt (/ -1 k)) 1) (- (log (* -2 PI)) (log n))) into (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) 116.194 * [backup-simplify]: Simplify (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) into (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) 116.194 * [taylor]: Taking taylor expansion of (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) in k 116.194 * [taylor]: Taking taylor expansion of (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) in k 116.194 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 116.194 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 116.194 * [taylor]: Taking taylor expansion of (* -2 PI) in k 116.194 * [taylor]: Taking taylor expansion of -2 in k 116.194 * [backup-simplify]: Simplify -2 into -2 116.194 * [taylor]: Taking taylor expansion of PI in k 116.194 * [backup-simplify]: Simplify PI into PI 116.194 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 116.195 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 116.195 * [taylor]: Taking taylor expansion of (log n) in k 116.195 * [taylor]: Taking taylor expansion of n in k 116.195 * [backup-simplify]: Simplify n into n 116.195 * [backup-simplify]: Simplify (log n) into (log n) 116.195 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in k 116.195 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 116.195 * [taylor]: Taking taylor expansion of (/ -1 k) in k 116.195 * [taylor]: Taking taylor expansion of -1 in k 116.195 * [backup-simplify]: Simplify -1 into -1 116.195 * [taylor]: Taking taylor expansion of k in k 116.195 * [backup-simplify]: Simplify 0 into 0 116.195 * [backup-simplify]: Simplify 1 into 1 116.195 * [backup-simplify]: Simplify (/ -1 1) into -1 116.196 * [backup-simplify]: Simplify (sqrt 0) into 0 116.196 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 116.197 * [taylor]: Taking taylor expansion of 1 in k 116.197 * [backup-simplify]: Simplify 1 into 1 116.197 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 116.197 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 116.197 * [backup-simplify]: Simplify (+ 0 0) into 0 116.198 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) 0) into 0 116.198 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 116.199 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 116.200 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 116.200 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 116.200 * [backup-simplify]: Simplify (- 0) into 0 116.201 * [backup-simplify]: Simplify (+ 0 0) into 0 116.202 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) (- +nan.0)) (* 0 0)) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 116.203 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) 116.205 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) 116.205 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 116.206 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 116.207 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 116.208 * [backup-simplify]: Simplify (+ 0 0) into 0 116.209 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 116.210 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ -1 k)) 1) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 116.212 * [backup-simplify]: Simplify (* (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) (+ (* (/ (pow 0 1) 1)))) into 0 116.212 * [taylor]: Taking taylor expansion of 0 in k 116.212 * [backup-simplify]: Simplify 0 into 0 116.212 * [backup-simplify]: Simplify 0 into 0 116.213 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 116.216 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 116.217 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 116.218 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 116.221 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0 116.223 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 116.224 * [backup-simplify]: Simplify (- 0) into 0 116.224 * [backup-simplify]: Simplify (+ 0 0) into 0 116.226 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 116.232 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 1) 1)))) into (* -1 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) 116.243 * [backup-simplify]: Simplify (* -1 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) into (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 116.244 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 116.244 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 116.246 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0 116.246 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 116.247 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 116.247 * [backup-simplify]: Simplify (+ 0 0) into 0 116.248 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 116.249 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ -1 k)) 1) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 116.250 * [backup-simplify]: Simplify (* (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 116.250 * [taylor]: Taking taylor expansion of 0 in k 116.250 * [backup-simplify]: Simplify 0 into 0 116.250 * [backup-simplify]: Simplify 0 into 0 116.250 * [backup-simplify]: Simplify 0 into 0 116.251 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 116.253 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 116.254 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 116.254 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 116.257 * [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 0 116.259 * [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 0 116.259 * [backup-simplify]: Simplify (- 0) into 0 116.259 * [backup-simplify]: Simplify (+ 0 0) into 0 116.261 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 116.265 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 1) 1)))) into (* -1 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (pow (log (* -2 PI)) 2)) (- (+ (* +nan.0 (* (log n) (log (* -2 PI)))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))))))) 116.271 * [backup-simplify]: Simplify (* -1 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (pow (log (* -2 PI)) 2)) (- (+ (* +nan.0 (* (log n) (log (* -2 PI)))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))))))) into (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* -2 PI)))) (- (+ (* +nan.0 (pow (log (* -2 PI)) 2)) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))))))) 116.282 * [backup-simplify]: Simplify (+ (* (* (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (pow (log (/ 1 (- n))) 2)) (- (+ (* +nan.0 (* (log (/ 1 (- n))) (log (* -2 PI)))) (- (+ (* +nan.0 (pow (log (* -2 PI)) 2)) (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI)))))))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (* (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI)))))) (* (/ 1 (- k)) 1)) (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))))) into (- (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (/ (* (pow (log (/ -1 n)) 2) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (pow (log (* -2 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI))) (pow k 2)))))))))))))))) 116.282 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 116.283 * [backup-simplify]: Simplify (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) into (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k)))) 116.283 * [approximate]: Taking taylor expansion of (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k)))) in (n k) around 0 116.283 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k)))) in k 116.283 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))))) in k 116.283 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1)))) in k 116.283 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt k))) in k 116.283 * [taylor]: Taking taylor expansion of 1/2 in k 116.283 * [backup-simplify]: Simplify 1/2 into 1/2 116.283 * [taylor]: Taking taylor expansion of (- 1 (sqrt k)) in k 116.283 * [taylor]: Taking taylor expansion of 1 in k 116.283 * [backup-simplify]: Simplify 1 into 1 116.283 * [taylor]: Taking taylor expansion of (sqrt k) in k 116.283 * [taylor]: Taking taylor expansion of k in k 116.283 * [backup-simplify]: Simplify 0 into 0 116.283 * [backup-simplify]: Simplify 1 into 1 116.283 * [backup-simplify]: Simplify (sqrt 0) into 0 116.284 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 116.284 * [taylor]: Taking taylor expansion of (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))) in k 116.284 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (+ (sqrt k) 1)) in k 116.284 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) 1) (log (* 2 (* n PI))))) in k 116.284 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (log (* 2 (* n PI)))) in k 116.284 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in k 116.284 * [taylor]: Taking taylor expansion of (sqrt k) in k 116.284 * [taylor]: Taking taylor expansion of k in k 116.284 * [backup-simplify]: Simplify 0 into 0 116.284 * [backup-simplify]: Simplify 1 into 1 116.284 * [backup-simplify]: Simplify (sqrt 0) into 0 116.285 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 116.285 * [taylor]: Taking taylor expansion of 1 in k 116.285 * [backup-simplify]: Simplify 1 into 1 116.285 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 116.285 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 116.285 * [taylor]: Taking taylor expansion of 2 in k 116.285 * [backup-simplify]: Simplify 2 into 2 116.285 * [taylor]: Taking taylor expansion of (* n PI) in k 116.285 * [taylor]: Taking taylor expansion of n in k 116.285 * [backup-simplify]: Simplify n into n 116.285 * [taylor]: Taking taylor expansion of PI in k 116.285 * [backup-simplify]: Simplify PI into PI 116.285 * [backup-simplify]: Simplify (* n PI) into (* n PI) 116.285 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 116.285 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 116.286 * [backup-simplify]: Simplify (+ 0 1) into 1 116.286 * [backup-simplify]: Simplify (* 1 (log (* 2 (* n PI)))) into (log (* 2 (* n PI))) 116.286 * [backup-simplify]: Simplify (exp (log (* 2 (* n PI)))) into (* 2 (* n PI)) 116.286 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 116.286 * [backup-simplify]: Simplify (- 0) into 0 116.287 * [backup-simplify]: Simplify (+ 1 0) into 1 116.287 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 116.287 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 116.287 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 116.287 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k)))) in n 116.287 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))))) in n 116.287 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1)))) in n 116.287 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt k))) in n 116.287 * [taylor]: Taking taylor expansion of 1/2 in n 116.287 * [backup-simplify]: Simplify 1/2 into 1/2 116.287 * [taylor]: Taking taylor expansion of (- 1 (sqrt k)) in n 116.287 * [taylor]: Taking taylor expansion of 1 in n 116.287 * [backup-simplify]: Simplify 1 into 1 116.287 * [taylor]: Taking taylor expansion of (sqrt k) in n 116.287 * [taylor]: Taking taylor expansion of k in n 116.287 * [backup-simplify]: Simplify k into k 116.287 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 116.287 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 116.287 * [taylor]: Taking taylor expansion of (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))) in n 116.287 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (+ (sqrt k) 1)) in n 116.287 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) 1) (log (* 2 (* n PI))))) in n 116.287 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (log (* 2 (* n PI)))) in n 116.287 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in n 116.287 * [taylor]: Taking taylor expansion of (sqrt k) in n 116.287 * [taylor]: Taking taylor expansion of k in n 116.287 * [backup-simplify]: Simplify k into k 116.287 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 116.287 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 116.287 * [taylor]: Taking taylor expansion of 1 in n 116.287 * [backup-simplify]: Simplify 1 into 1 116.287 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 116.288 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 116.288 * [taylor]: Taking taylor expansion of 2 in n 116.288 * [backup-simplify]: Simplify 2 into 2 116.288 * [taylor]: Taking taylor expansion of (* n PI) in n 116.288 * [taylor]: Taking taylor expansion of n in n 116.288 * [backup-simplify]: Simplify 0 into 0 116.288 * [backup-simplify]: Simplify 1 into 1 116.288 * [taylor]: Taking taylor expansion of PI in n 116.288 * [backup-simplify]: Simplify PI into PI 116.288 * [backup-simplify]: Simplify (* 0 PI) into 0 116.288 * [backup-simplify]: Simplify (* 2 0) into 0 116.289 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 116.290 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 116.291 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 116.291 * [backup-simplify]: Simplify (+ (sqrt k) 1) into (+ (sqrt k) 1) 116.293 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 116.294 * [backup-simplify]: Simplify (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) into (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) 116.295 * [backup-simplify]: Simplify (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) into (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 116.296 * [backup-simplify]: Simplify (log (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))))) into (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) 116.296 * [backup-simplify]: Simplify (- (sqrt k)) into (- (sqrt k)) 116.296 * [backup-simplify]: Simplify (+ 1 (- (sqrt k))) into (- 1 (sqrt k)) 116.296 * [backup-simplify]: Simplify (* 1/2 (- 1 (sqrt k))) into (* 1/2 (- 1 (sqrt k))) 116.297 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (sqrt k))) (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) into (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI)))))) 116.298 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) into (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) 116.298 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (* 1/2 (- 1 (sqrt k)))) in n 116.298 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))))) in n 116.298 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt k))) (log (pow (* 2 (* n PI)) (+ (sqrt k) 1)))) in n 116.299 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt k))) in n 116.299 * [taylor]: Taking taylor expansion of 1/2 in n 116.299 * [backup-simplify]: Simplify 1/2 into 1/2 116.299 * [taylor]: Taking taylor expansion of (- 1 (sqrt k)) in n 116.299 * [taylor]: Taking taylor expansion of 1 in n 116.299 * [backup-simplify]: Simplify 1 into 1 116.299 * [taylor]: Taking taylor expansion of (sqrt k) in n 116.299 * [taylor]: Taking taylor expansion of k in n 116.299 * [backup-simplify]: Simplify k into k 116.299 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 116.299 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 116.299 * [taylor]: Taking taylor expansion of (log (pow (* 2 (* n PI)) (+ (sqrt k) 1))) in n 116.299 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (+ (sqrt k) 1)) in n 116.299 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) 1) (log (* 2 (* n PI))))) in n 116.299 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (log (* 2 (* n PI)))) in n 116.299 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in n 116.299 * [taylor]: Taking taylor expansion of (sqrt k) in n 116.299 * [taylor]: Taking taylor expansion of k in n 116.299 * [backup-simplify]: Simplify k into k 116.299 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 116.299 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 116.299 * [taylor]: Taking taylor expansion of 1 in n 116.299 * [backup-simplify]: Simplify 1 into 1 116.299 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 116.299 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 116.299 * [taylor]: Taking taylor expansion of 2 in n 116.299 * [backup-simplify]: Simplify 2 into 2 116.299 * [taylor]: Taking taylor expansion of (* n PI) in n 116.299 * [taylor]: Taking taylor expansion of n in n 116.299 * [backup-simplify]: Simplify 0 into 0 116.299 * [backup-simplify]: Simplify 1 into 1 116.299 * [taylor]: Taking taylor expansion of PI in n 116.299 * [backup-simplify]: Simplify PI into PI 116.300 * [backup-simplify]: Simplify (* 0 PI) into 0 116.300 * [backup-simplify]: Simplify (* 2 0) into 0 116.302 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 116.303 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 116.304 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 116.304 * [backup-simplify]: Simplify (+ (sqrt k) 1) into (+ (sqrt k) 1) 116.306 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 116.307 * [backup-simplify]: Simplify (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) into (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) 116.308 * [backup-simplify]: Simplify (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) into (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 116.309 * [backup-simplify]: Simplify (log (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))))) into (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) 116.309 * [backup-simplify]: Simplify (- (sqrt k)) into (- (sqrt k)) 116.310 * [backup-simplify]: Simplify (+ 1 (- (sqrt k))) into (- 1 (sqrt k)) 116.310 * [backup-simplify]: Simplify (* 1/2 (- 1 (sqrt k))) into (* 1/2 (- 1 (sqrt k))) 116.311 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (sqrt k))) (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) into (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI)))))) 116.312 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) into (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) 116.312 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) in k 116.312 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI)))))) in k 116.312 * [taylor]: Taking taylor expansion of 1/2 in k 116.312 * [backup-simplify]: Simplify 1/2 into 1/2 116.312 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))) in k 116.312 * [taylor]: Taking taylor expansion of (+ (sqrt k) 1) in k 116.312 * [taylor]: Taking taylor expansion of (sqrt k) in k 116.312 * [taylor]: Taking taylor expansion of k in k 116.312 * [backup-simplify]: Simplify 0 into 0 116.312 * [backup-simplify]: Simplify 1 into 1 116.313 * [backup-simplify]: Simplify (sqrt 0) into 0 116.314 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 116.314 * [taylor]: Taking taylor expansion of 1 in k 116.314 * [backup-simplify]: Simplify 1 into 1 116.314 * [taylor]: Taking taylor expansion of (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI)))) in k 116.314 * [taylor]: Taking taylor expansion of (- 1 (sqrt k)) in k 116.314 * [taylor]: Taking taylor expansion of 1 in k 116.314 * [backup-simplify]: Simplify 1 into 1 116.314 * [taylor]: Taking taylor expansion of (sqrt k) in k 116.314 * [taylor]: Taking taylor expansion of k in k 116.314 * [backup-simplify]: Simplify 0 into 0 116.314 * [backup-simplify]: Simplify 1 into 1 116.314 * [backup-simplify]: Simplify (sqrt 0) into 0 116.315 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 116.315 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 116.315 * [taylor]: Taking taylor expansion of (log n) in k 116.315 * [taylor]: Taking taylor expansion of n in k 116.315 * [backup-simplify]: Simplify n into n 116.315 * [backup-simplify]: Simplify (log n) into (log n) 116.315 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 116.315 * [taylor]: Taking taylor expansion of (* 2 PI) in k 116.315 * [taylor]: Taking taylor expansion of 2 in k 116.315 * [backup-simplify]: Simplify 2 into 2 116.315 * [taylor]: Taking taylor expansion of PI in k 116.315 * [backup-simplify]: Simplify PI into PI 116.316 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 116.316 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 116.317 * [backup-simplify]: Simplify (+ 0 1) into 1 116.317 * [backup-simplify]: Simplify (- 0) into 0 116.317 * [backup-simplify]: Simplify (+ 1 0) into 1 116.318 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 116.318 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 116.319 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 116.320 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 116.320 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 116.321 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 116.321 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 116.322 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 116.324 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 116.324 * [backup-simplify]: Simplify (+ 0 0) into 0 116.326 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 116.327 * [backup-simplify]: Simplify (+ (* (+ (sqrt k) 1) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 116.329 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 116.331 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 1)))) 1) into 0 116.331 * [backup-simplify]: Simplify (- 0) into 0 116.331 * [backup-simplify]: Simplify (+ 0 0) into 0 116.332 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (sqrt k)))) into 0 116.333 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (sqrt k))) 0) (* 0 (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))))) into 0 116.335 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) (+ (* (/ (pow 0 1) 1)))) into 0 116.335 * [taylor]: Taking taylor expansion of 0 in k 116.335 * [backup-simplify]: Simplify 0 into 0 116.335 * [backup-simplify]: Simplify 0 into 0 116.336 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 116.337 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 116.339 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 116.344 * [backup-simplify]: Simplify (+ 0 0) into 0 116.345 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 116.346 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 116.348 * [backup-simplify]: Simplify (+ (* 1 0) (* (- +nan.0) (+ (log n) (log (* 2 PI))))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 116.348 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 116.352 * [backup-simplify]: Simplify (+ (* 1 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (* (- +nan.0) (+ (log n) (log (* 2 PI))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 116.355 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 116.359 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 116.362 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) 116.364 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 116.365 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 116.368 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 116.369 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 116.369 * [backup-simplify]: Simplify (+ 0 0) into 0 116.371 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 116.372 * [backup-simplify]: Simplify (+ (* (+ (sqrt k) 1) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 116.374 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 116.378 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))) 1)))) 2) into 0 116.379 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 116.379 * [backup-simplify]: Simplify (- 0) into 0 116.379 * [backup-simplify]: Simplify (+ 0 0) into 0 116.380 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (sqrt k))))) into 0 116.382 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (sqrt k))) 0) (+ (* 0 0) (* 0 (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI))))))) into 0 116.384 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (sqrt k) 1) (* (- 1 (sqrt k)) (+ (log n) (log (* 2 PI))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 116.384 * [taylor]: Taking taylor expansion of 0 in k 116.384 * [backup-simplify]: Simplify 0 into 0 116.384 * [backup-simplify]: Simplify 0 into 0 116.384 * [backup-simplify]: Simplify 0 into 0 116.386 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 116.387 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 116.390 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 116.390 * [backup-simplify]: Simplify (+ 0 0) into 0 116.393 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 116.394 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 116.395 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 116.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (+ (log n) (log (* 2 PI)))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 116.400 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 116.401 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 116.407 * [backup-simplify]: Simplify (+ (* 1 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (* (- +nan.0) (+ (log n) (log (* 2 PI)))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 116.413 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* 0 (+ (log n) (log (* 2 PI)))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 116.420 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 116.426 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log (* 2 PI))))))))))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) 116.442 * [backup-simplify]: Simplify (+ (* (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log (* 2 PI))))))))))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (pow (* k 1) 2)) (+ (* (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (* k 1)) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))))))))))))) 116.443 * [backup-simplify]: Simplify (pow (pow (* (/ 1 n) (* 2 PI)) (/ (+ 1 (sqrt (/ 1 k))) 1)) (/ (- 1 (sqrt (/ 1 k))) 2)) into (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k))))) 116.443 * [approximate]: Taking taylor expansion of (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k))))) in (n k) around 0 116.443 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k))))) in k 116.443 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))))) in k 116.443 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)))) in k 116.443 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ 1 k)))) in k 116.443 * [taylor]: Taking taylor expansion of 1/2 in k 116.443 * [backup-simplify]: Simplify 1/2 into 1/2 116.443 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ 1 k))) in k 116.443 * [taylor]: Taking taylor expansion of 1 in k 116.443 * [backup-simplify]: Simplify 1 into 1 116.443 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 116.443 * [taylor]: Taking taylor expansion of (/ 1 k) in k 116.443 * [taylor]: Taking taylor expansion of k in k 116.443 * [backup-simplify]: Simplify 0 into 0 116.443 * [backup-simplify]: Simplify 1 into 1 116.443 * [backup-simplify]: Simplify (/ 1 1) into 1 116.443 * [backup-simplify]: Simplify (sqrt 0) into 0 116.444 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 116.444 * [taylor]: Taking taylor expansion of (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))) in k 116.444 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) in k 116.444 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n))))) in k 116.444 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n)))) in k 116.444 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in k 116.444 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 116.444 * [taylor]: Taking taylor expansion of (/ 1 k) in k 116.444 * [taylor]: Taking taylor expansion of k in k 116.444 * [backup-simplify]: Simplify 0 into 0 116.444 * [backup-simplify]: Simplify 1 into 1 116.444 * [backup-simplify]: Simplify (/ 1 1) into 1 116.445 * [backup-simplify]: Simplify (sqrt 0) into 0 116.445 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 116.445 * [taylor]: Taking taylor expansion of 1 in k 116.445 * [backup-simplify]: Simplify 1 into 1 116.446 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 116.446 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 116.446 * [taylor]: Taking taylor expansion of 2 in k 116.446 * [backup-simplify]: Simplify 2 into 2 116.446 * [taylor]: Taking taylor expansion of (/ PI n) in k 116.446 * [taylor]: Taking taylor expansion of PI in k 116.446 * [backup-simplify]: Simplify PI into PI 116.446 * [taylor]: Taking taylor expansion of n in k 116.446 * [backup-simplify]: Simplify n into n 116.446 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 116.446 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 116.446 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 116.446 * [backup-simplify]: Simplify (+ 0 0) into 0 116.446 * [backup-simplify]: Simplify (* 0 (log (* 2 (/ PI n)))) into 0 116.446 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 116.446 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ PI n))) into 0 116.447 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (/ PI n)) 1)))) 1) into 0 116.447 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 116.448 * [backup-simplify]: Simplify (+ (* 0 0) (* (- +nan.0) (log (* 2 (/ PI n))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 116.448 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 116.448 * [backup-simplify]: Simplify (log (exp (- (* +nan.0 (log (* 2 (/ PI n))))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 116.448 * [backup-simplify]: Simplify (- 0) into 0 116.448 * [backup-simplify]: Simplify (+ 0 0) into 0 116.449 * [backup-simplify]: Simplify (* 1/2 0) into 0 116.449 * [backup-simplify]: Simplify (* 0 (- (* +nan.0 (log (* 2 (/ PI n)))))) into 0 116.449 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 116.449 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ PI n)))) into 0 116.450 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (/ PI n)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (/ PI n)) 1)))) 2) into 0 116.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 116.453 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 116.453 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 116.454 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (log (* 2 (/ PI n)))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 116.454 * [backup-simplify]: Simplify (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (+ (* (/ (pow (- (* +nan.0 (log (* 2 (/ PI n))))) 1) 1)))) into (* +nan.0 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (log (* 2 (/ PI n))))) 116.454 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* +nan.0 (* (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) (log (* 2 (/ PI n)))))) 1)) (pow (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 1)))) 1) into (* +nan.0 (log (* 2 (/ PI n)))) 116.455 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 116.455 * [backup-simplify]: Simplify (+ 1 (- +nan.0)) into (- +nan.0) 116.456 * [backup-simplify]: Simplify (+ (* 1/2 (- +nan.0)) (* 0 0)) into (- +nan.0) 116.457 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (log (* 2 (/ PI n))))) (* (- +nan.0) (- (* +nan.0 (log (* 2 (/ PI n))))))) into (- (* +nan.0 (log (* 2 (/ PI n))))) 116.457 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* 2 (/ PI n)))))) 116.457 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k))))) in n 116.457 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))))) in n 116.457 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)))) in n 116.457 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ 1 k)))) in n 116.457 * [taylor]: Taking taylor expansion of 1/2 in n 116.457 * [backup-simplify]: Simplify 1/2 into 1/2 116.457 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ 1 k))) in n 116.457 * [taylor]: Taking taylor expansion of 1 in n 116.457 * [backup-simplify]: Simplify 1 into 1 116.457 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 116.457 * [taylor]: Taking taylor expansion of (/ 1 k) in n 116.457 * [taylor]: Taking taylor expansion of k in n 116.457 * [backup-simplify]: Simplify k into k 116.457 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 116.457 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 116.457 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 116.457 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 116.457 * [taylor]: Taking taylor expansion of (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))) in n 116.457 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) in n 116.457 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n))))) in n 116.458 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n)))) in n 116.458 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in n 116.458 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 116.458 * [taylor]: Taking taylor expansion of (/ 1 k) in n 116.458 * [taylor]: Taking taylor expansion of k in n 116.458 * [backup-simplify]: Simplify k into k 116.458 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 116.458 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 116.458 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 116.458 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 116.458 * [taylor]: Taking taylor expansion of 1 in n 116.458 * [backup-simplify]: Simplify 1 into 1 116.458 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 116.458 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 116.458 * [taylor]: Taking taylor expansion of 2 in n 116.458 * [backup-simplify]: Simplify 2 into 2 116.458 * [taylor]: Taking taylor expansion of (/ PI n) in n 116.458 * [taylor]: Taking taylor expansion of PI in n 116.458 * [backup-simplify]: Simplify PI into PI 116.458 * [taylor]: Taking taylor expansion of n in n 116.458 * [backup-simplify]: Simplify 0 into 0 116.458 * [backup-simplify]: Simplify 1 into 1 116.458 * [backup-simplify]: Simplify (/ PI 1) into PI 116.459 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 116.459 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 116.459 * [backup-simplify]: Simplify (+ (sqrt (/ 1 k)) 1) into (+ (sqrt (/ 1 k)) 1) 116.460 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 116.461 * [backup-simplify]: Simplify (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) into (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) 116.461 * [backup-simplify]: Simplify (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) into (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 116.462 * [backup-simplify]: Simplify (log (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))))) into (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) 116.462 * [backup-simplify]: Simplify (- (sqrt (/ 1 k))) into (- (sqrt (/ 1 k))) 116.462 * [backup-simplify]: Simplify (+ 1 (- (sqrt (/ 1 k)))) into (- 1 (sqrt (/ 1 k))) 116.462 * [backup-simplify]: Simplify (* 1/2 (- 1 (sqrt (/ 1 k)))) into (* 1/2 (- 1 (sqrt (/ 1 k)))) 116.463 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n))))) 116.468 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) 116.468 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) (* 1/2 (- 1 (sqrt (/ 1 k))))) in n 116.468 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))))) in n 116.468 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)))) in n 116.468 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ 1 k)))) in n 116.468 * [taylor]: Taking taylor expansion of 1/2 in n 116.468 * [backup-simplify]: Simplify 1/2 into 1/2 116.468 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ 1 k))) in n 116.468 * [taylor]: Taking taylor expansion of 1 in n 116.468 * [backup-simplify]: Simplify 1 into 1 116.468 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 116.468 * [taylor]: Taking taylor expansion of (/ 1 k) in n 116.468 * [taylor]: Taking taylor expansion of k in n 116.468 * [backup-simplify]: Simplify k into k 116.468 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 116.468 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 116.468 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 116.468 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 116.468 * [taylor]: Taking taylor expansion of (log (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1))) in n 116.468 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (+ (sqrt (/ 1 k)) 1)) in n 116.468 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n))))) in n 116.468 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (log (* 2 (/ PI n)))) in n 116.468 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in n 116.468 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 116.468 * [taylor]: Taking taylor expansion of (/ 1 k) in n 116.468 * [taylor]: Taking taylor expansion of k in n 116.468 * [backup-simplify]: Simplify k into k 116.468 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 116.468 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 116.468 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 116.468 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 116.468 * [taylor]: Taking taylor expansion of 1 in n 116.468 * [backup-simplify]: Simplify 1 into 1 116.468 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 116.468 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 116.468 * [taylor]: Taking taylor expansion of 2 in n 116.468 * [backup-simplify]: Simplify 2 into 2 116.468 * [taylor]: Taking taylor expansion of (/ PI n) in n 116.468 * [taylor]: Taking taylor expansion of PI in n 116.468 * [backup-simplify]: Simplify PI into PI 116.468 * [taylor]: Taking taylor expansion of n in n 116.469 * [backup-simplify]: Simplify 0 into 0 116.469 * [backup-simplify]: Simplify 1 into 1 116.469 * [backup-simplify]: Simplify (/ PI 1) into PI 116.469 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 116.470 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 116.470 * [backup-simplify]: Simplify (+ (sqrt (/ 1 k)) 1) into (+ (sqrt (/ 1 k)) 1) 116.471 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 116.471 * [backup-simplify]: Simplify (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) into (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) 116.472 * [backup-simplify]: Simplify (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) into (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 116.472 * [backup-simplify]: Simplify (log (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))))) into (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))) 116.473 * [backup-simplify]: Simplify (- (sqrt (/ 1 k))) into (- (sqrt (/ 1 k))) 116.473 * [backup-simplify]: Simplify (+ 1 (- (sqrt (/ 1 k)))) into (- 1 (sqrt (/ 1 k))) 116.473 * [backup-simplify]: Simplify (* 1/2 (- 1 (sqrt (/ 1 k)))) into (* 1/2 (- 1 (sqrt (/ 1 k)))) 116.473 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (sqrt (/ 1 k)))) (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n))))) 116.474 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) 116.475 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) in k 116.475 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n))))) in k 116.475 * [taylor]: Taking taylor expansion of 1/2 in k 116.475 * [backup-simplify]: Simplify 1/2 into 1/2 116.475 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 116.475 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 k)) 1) in k 116.475 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 116.475 * [taylor]: Taking taylor expansion of (/ 1 k) in k 116.475 * [taylor]: Taking taylor expansion of k in k 116.475 * [backup-simplify]: Simplify 0 into 0 116.475 * [backup-simplify]: Simplify 1 into 1 116.475 * [backup-simplify]: Simplify (/ 1 1) into 1 116.476 * [backup-simplify]: Simplify (sqrt 0) into 0 116.477 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 116.477 * [taylor]: Taking taylor expansion of 1 in k 116.477 * [backup-simplify]: Simplify 1 into 1 116.477 * [taylor]: Taking taylor expansion of (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 116.477 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ 1 k))) in k 116.477 * [taylor]: Taking taylor expansion of 1 in k 116.477 * [backup-simplify]: Simplify 1 into 1 116.477 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 116.477 * [taylor]: Taking taylor expansion of (/ 1 k) in k 116.477 * [taylor]: Taking taylor expansion of k in k 116.477 * [backup-simplify]: Simplify 0 into 0 116.477 * [backup-simplify]: Simplify 1 into 1 116.478 * [backup-simplify]: Simplify (/ 1 1) into 1 116.478 * [backup-simplify]: Simplify (sqrt 0) into 0 116.479 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 116.479 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 116.479 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 116.479 * [taylor]: Taking taylor expansion of (* 2 PI) in k 116.479 * [taylor]: Taking taylor expansion of 2 in k 116.479 * [backup-simplify]: Simplify 2 into 2 116.479 * [taylor]: Taking taylor expansion of PI in k 116.480 * [backup-simplify]: Simplify PI into PI 116.480 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 116.481 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 116.481 * [taylor]: Taking taylor expansion of (log n) in k 116.481 * [taylor]: Taking taylor expansion of n in k 116.481 * [backup-simplify]: Simplify n into n 116.481 * [backup-simplify]: Simplify (log n) into (log n) 116.481 * [backup-simplify]: Simplify (+ 0 0) into 0 116.482 * [backup-simplify]: Simplify (- 0) into 0 116.482 * [backup-simplify]: Simplify (+ 0 0) into 0 116.482 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 116.483 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 116.484 * [backup-simplify]: Simplify (* 0 (- (log (* 2 PI)) (log n))) into 0 116.485 * [backup-simplify]: Simplify (* 0 0) into 0 116.485 * [backup-simplify]: Simplify (* 1/2 0) into 0 116.486 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 116.488 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 116.488 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 116.489 * [backup-simplify]: Simplify (- 0) into 0 116.489 * [backup-simplify]: Simplify (+ 0 0) into 0 116.490 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 116.490 * [backup-simplify]: Simplify (+ 1 (- +nan.0)) into (- +nan.0) 116.492 * [backup-simplify]: Simplify (+ (* 0 0) (* (- +nan.0) (- (log (* 2 PI)) (log n)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 116.493 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 116.496 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* (- +nan.0) 0)) into 0 116.496 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 0)) into 0 116.497 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 116.500 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 116.502 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 116.502 * [backup-simplify]: Simplify (- 0) into 0 116.503 * [backup-simplify]: Simplify (+ 0 0) into 0 116.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 116.506 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 116.507 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 116.508 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 116.510 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (- (log (* 2 PI)) (log n))))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 116.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 116.514 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 116.515 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 116.520 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* (- +nan.0) 0))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 116.522 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 0) (* 0 0))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 116.525 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) 116.527 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) 116.528 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 116.529 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 116.530 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 116.531 * [backup-simplify]: Simplify (+ 0 0) into 0 116.531 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 116.532 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ 1 k)) 1) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 116.533 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 116.534 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 1)))) 1) into 0 116.535 * [backup-simplify]: Simplify (- 0) into 0 116.535 * [backup-simplify]: Simplify (+ 0 0) into 0 116.535 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (sqrt (/ 1 k))))) into 0 116.536 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (sqrt (/ 1 k)))) 0) (* 0 (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n))))) into 0 116.537 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) (+ (* (/ (pow 0 1) 1)))) into 0 116.537 * [taylor]: Taking taylor expansion of 0 in k 116.537 * [backup-simplify]: Simplify 0 into 0 116.537 * [backup-simplify]: Simplify 0 into 0 116.538 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 116.541 * [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 0 116.542 * [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 0 116.542 * [backup-simplify]: Simplify (- 0) into 0 116.543 * [backup-simplify]: Simplify (+ 0 0) into 0 116.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 116.546 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 116.546 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 116.546 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 116.548 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (- (log (* 2 PI)) (log n)))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 116.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 116.551 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 116.551 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 116.556 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* (- +nan.0) 0)))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 116.559 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 0) (* 0 0)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 116.564 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) 116.569 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) into (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) 116.570 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 116.571 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 116.575 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 116.575 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 116.576 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 116.577 * [backup-simplify]: Simplify (+ 0 0) into 0 116.584 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 116.586 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ 1 k)) 1) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 116.588 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 116.592 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))) 1)))) 2) into 0 116.592 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 116.593 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 116.593 * [backup-simplify]: Simplify (- 0) into 0 116.594 * [backup-simplify]: Simplify (+ 0 0) into 0 116.594 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (sqrt (/ 1 k)))))) into 0 116.596 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (sqrt (/ 1 k)))) 0) (+ (* 0 0) (* 0 (* (+ (sqrt (/ 1 k)) 1) (- (log (* 2 PI)) (log n)))))) into 0 116.598 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (sqrt (/ 1 k)) 1) (* (- 1 (sqrt (/ 1 k))) (- (log (* 2 PI)) (log n)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 116.598 * [taylor]: Taking taylor expansion of 0 in k 116.598 * [backup-simplify]: Simplify 0 into 0 116.598 * [backup-simplify]: Simplify 0 into 0 116.598 * [backup-simplify]: Simplify 0 into 0 116.600 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 116.612 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 2 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* 2 PI) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* 2 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* 2 PI) 1)))) 24) into 0 116.616 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow n 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow n 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow n 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow n 1)))) 24) into 0 116.617 * [backup-simplify]: Simplify (- 0) into 0 116.617 * [backup-simplify]: Simplify (+ 0 0) into 0 116.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 116.623 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 116.623 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 116.624 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 116.627 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (- (log (* 2 PI)) (log n))))))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 116.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 116.632 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 116.633 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 116.643 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (* (- +nan.0) 0))))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n))))) 116.648 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 (- (+ (* +nan.0 (log (* 2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 0) (* 0 0))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 116.656 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) 116.664 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI))))))))) into (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log (* 2 PI))))))))))) (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* 2 PI)))))))) 116.684 * [backup-simplify]: Simplify (+ (* (* (+ (* +nan.0 (pow (log (/ 1 n)) 2)) (- (+ (* +nan.0 (* (log (/ 1 n)) (log (* 2 PI)))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (* +nan.0 (log (* 2 PI))))))))))) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI)))))))) (pow (* (/ 1 k) 1) 2)) (+ (* (* (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI)))))))) (* (/ 1 k) 1)) (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))))) into (- (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (* (log (/ 1 n)) (log (* 2 PI)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (* 2 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (/ 1 n)) 2)) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n))) (pow k 2)))))))))))))))) 116.685 * [backup-simplify]: Simplify (pow (pow (* (/ 1 (- n)) (* 2 PI)) (/ (+ 1 (sqrt (/ 1 (- k)))) 1)) (/ (- 1 (sqrt (/ 1 (- k)))) 2)) into (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k))))) 116.685 * [approximate]: Taking taylor expansion of (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k))))) in (n k) around 0 116.685 * [taylor]: Taking taylor expansion of (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k))))) in k 116.685 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))))) in k 116.685 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)))) in k 116.685 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ -1 k)))) in k 116.685 * [taylor]: Taking taylor expansion of 1/2 in k 116.685 * [backup-simplify]: Simplify 1/2 into 1/2 116.686 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ -1 k))) in k 116.686 * [taylor]: Taking taylor expansion of 1 in k 116.686 * [backup-simplify]: Simplify 1 into 1 116.686 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 116.686 * [taylor]: Taking taylor expansion of (/ -1 k) in k 116.686 * [taylor]: Taking taylor expansion of -1 in k 116.686 * [backup-simplify]: Simplify -1 into -1 116.686 * [taylor]: Taking taylor expansion of k in k 116.686 * [backup-simplify]: Simplify 0 into 0 116.686 * [backup-simplify]: Simplify 1 into 1 116.686 * [backup-simplify]: Simplify (/ -1 1) into -1 116.687 * [backup-simplify]: Simplify (sqrt 0) into 0 116.688 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 116.688 * [taylor]: Taking taylor expansion of (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))) in k 116.688 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) in k 116.688 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n))))) in k 116.688 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n)))) in k 116.688 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in k 116.688 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 116.688 * [taylor]: Taking taylor expansion of (/ -1 k) in k 116.688 * [taylor]: Taking taylor expansion of -1 in k 116.688 * [backup-simplify]: Simplify -1 into -1 116.688 * [taylor]: Taking taylor expansion of k in k 116.688 * [backup-simplify]: Simplify 0 into 0 116.688 * [backup-simplify]: Simplify 1 into 1 116.689 * [backup-simplify]: Simplify (/ -1 1) into -1 116.689 * [backup-simplify]: Simplify (sqrt 0) into 0 116.690 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 116.690 * [taylor]: Taking taylor expansion of 1 in k 116.690 * [backup-simplify]: Simplify 1 into 1 116.690 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 116.690 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 116.690 * [taylor]: Taking taylor expansion of -2 in k 116.690 * [backup-simplify]: Simplify -2 into -2 116.691 * [taylor]: Taking taylor expansion of (/ PI n) in k 116.691 * [taylor]: Taking taylor expansion of PI in k 116.691 * [backup-simplify]: Simplify PI into PI 116.691 * [taylor]: Taking taylor expansion of n in k 116.691 * [backup-simplify]: Simplify n into n 116.691 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 116.691 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 116.691 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 116.691 * [backup-simplify]: Simplify (+ 0 0) into 0 116.691 * [backup-simplify]: Simplify (* 0 (log (* -2 (/ PI n)))) into 0 116.691 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 116.692 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (/ PI n))) into 0 116.693 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 (/ PI n)) 1)))) 1) into 0 116.693 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 116.694 * [backup-simplify]: Simplify (+ (* 0 0) (* (- +nan.0) (log (* -2 (/ PI n))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 116.694 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) 116.694 * [backup-simplify]: Simplify (log (exp (- (* +nan.0 (log (* -2 (/ PI n))))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 116.695 * [backup-simplify]: Simplify (- 0) into 0 116.695 * [backup-simplify]: Simplify (+ 0 0) into 0 116.695 * [backup-simplify]: Simplify (* 1/2 0) into 0 116.696 * [backup-simplify]: Simplify (* 0 (- (* +nan.0 (log (* -2 (/ PI n)))))) into 0 116.696 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 116.697 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (/ PI n)))) into 0 116.698 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 (/ PI n)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 (/ PI n)) 1)))) 2) into 0 116.699 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 116.702 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 116.703 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 116.704 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (log (* -2 (/ PI n)))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 116.704 * [backup-simplify]: Simplify (* (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) (+ (* (/ (pow (- (* +nan.0 (log (* -2 (/ PI n))))) 1) 1)))) into (* +nan.0 (* (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n)))))))) 116.705 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* +nan.0 (* (log (* -2 (/ PI n))) (exp (- (* +nan.0 (log (* -2 (/ PI n))))))))) 1)) (pow (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) 1)))) 1) into (* +nan.0 (log (* -2 (/ PI n)))) 116.705 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 116.706 * [backup-simplify]: Simplify (+ 1 (- +nan.0)) into (- +nan.0) 116.708 * [backup-simplify]: Simplify (+ (* 1/2 (- +nan.0)) (* 0 0)) into (- +nan.0) 116.709 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (log (* -2 (/ PI n))))) (* (- +nan.0) (- (* +nan.0 (log (* -2 (/ PI n))))))) into (- (* +nan.0 (log (* -2 (/ PI n))))) 116.709 * [backup-simplify]: Simplify (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) into (exp (- (* +nan.0 (log (* -2 (/ PI n)))))) 116.709 * [taylor]: Taking taylor expansion of (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k))))) in n 116.709 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))))) in n 116.709 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)))) in n 116.709 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ -1 k)))) in n 116.709 * [taylor]: Taking taylor expansion of 1/2 in n 116.709 * [backup-simplify]: Simplify 1/2 into 1/2 116.709 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ -1 k))) in n 116.709 * [taylor]: Taking taylor expansion of 1 in n 116.709 * [backup-simplify]: Simplify 1 into 1 116.709 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 116.709 * [taylor]: Taking taylor expansion of (/ -1 k) in n 116.709 * [taylor]: Taking taylor expansion of -1 in n 116.709 * [backup-simplify]: Simplify -1 into -1 116.709 * [taylor]: Taking taylor expansion of k in n 116.709 * [backup-simplify]: Simplify k into k 116.709 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 116.709 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 116.710 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 116.710 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 116.710 * [taylor]: Taking taylor expansion of (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))) in n 116.710 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) in n 116.710 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n))))) in n 116.710 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n)))) in n 116.710 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in n 116.710 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 116.710 * [taylor]: Taking taylor expansion of (/ -1 k) in n 116.710 * [taylor]: Taking taylor expansion of -1 in n 116.710 * [backup-simplify]: Simplify -1 into -1 116.710 * [taylor]: Taking taylor expansion of k in n 116.710 * [backup-simplify]: Simplify k into k 116.710 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 116.710 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 116.710 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 116.710 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 116.710 * [taylor]: Taking taylor expansion of 1 in n 116.710 * [backup-simplify]: Simplify 1 into 1 116.710 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 116.710 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 116.710 * [taylor]: Taking taylor expansion of -2 in n 116.710 * [backup-simplify]: Simplify -2 into -2 116.710 * [taylor]: Taking taylor expansion of (/ PI n) in n 116.711 * [taylor]: Taking taylor expansion of PI in n 116.711 * [backup-simplify]: Simplify PI into PI 116.711 * [taylor]: Taking taylor expansion of n in n 116.711 * [backup-simplify]: Simplify 0 into 0 116.711 * [backup-simplify]: Simplify 1 into 1 116.711 * [backup-simplify]: Simplify (/ PI 1) into PI 116.712 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 116.718 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 116.718 * [backup-simplify]: Simplify (+ (sqrt (/ -1 k)) 1) into (+ (sqrt (/ -1 k)) 1) 116.720 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 116.721 * [backup-simplify]: Simplify (* (+ (sqrt (/ -1 k)) 1) (- (log (* -2 PI)) (log n))) into (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) 116.722 * [backup-simplify]: Simplify (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) into (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) 116.723 * [backup-simplify]: Simplify (log (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)))) into (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) 116.723 * [backup-simplify]: Simplify (- (sqrt (/ -1 k))) into (- (sqrt (/ -1 k))) 116.723 * [backup-simplify]: Simplify (+ 1 (- (sqrt (/ -1 k)))) into (- 1 (sqrt (/ -1 k))) 116.724 * [backup-simplify]: Simplify (* 1/2 (- 1 (sqrt (/ -1 k)))) into (* 1/2 (- 1 (sqrt (/ -1 k)))) 116.725 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) into (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)))) 116.726 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) into (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) 116.726 * [taylor]: Taking taylor expansion of (pow (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) (* 1/2 (- 1 (sqrt (/ -1 k))))) in n 116.726 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))))) in n 116.726 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)))) in n 116.726 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (sqrt (/ -1 k)))) in n 116.726 * [taylor]: Taking taylor expansion of 1/2 in n 116.726 * [backup-simplify]: Simplify 1/2 into 1/2 116.726 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ -1 k))) in n 116.726 * [taylor]: Taking taylor expansion of 1 in n 116.726 * [backup-simplify]: Simplify 1 into 1 116.726 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 116.726 * [taylor]: Taking taylor expansion of (/ -1 k) in n 116.726 * [taylor]: Taking taylor expansion of -1 in n 116.726 * [backup-simplify]: Simplify -1 into -1 116.727 * [taylor]: Taking taylor expansion of k in n 116.727 * [backup-simplify]: Simplify k into k 116.727 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 116.727 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 116.727 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 116.727 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 116.727 * [taylor]: Taking taylor expansion of (log (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1))) in n 116.727 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (sqrt (/ -1 k)) 1)) in n 116.727 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n))))) in n 116.727 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) 1) (log (* -2 (/ PI n)))) in n 116.727 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in n 116.727 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 116.727 * [taylor]: Taking taylor expansion of (/ -1 k) in n 116.727 * [taylor]: Taking taylor expansion of -1 in n 116.727 * [backup-simplify]: Simplify -1 into -1 116.727 * [taylor]: Taking taylor expansion of k in n 116.727 * [backup-simplify]: Simplify k into k 116.727 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 116.727 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 116.727 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 116.728 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 116.728 * [taylor]: Taking taylor expansion of 1 in n 116.728 * [backup-simplify]: Simplify 1 into 1 116.728 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 116.728 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 116.728 * [taylor]: Taking taylor expansion of -2 in n 116.728 * [backup-simplify]: Simplify -2 into -2 116.728 * [taylor]: Taking taylor expansion of (/ PI n) in n 116.728 * [taylor]: Taking taylor expansion of PI in n 116.728 * [backup-simplify]: Simplify PI into PI 116.728 * [taylor]: Taking taylor expansion of n in n 116.728 * [backup-simplify]: Simplify 0 into 0 116.728 * [backup-simplify]: Simplify 1 into 1 116.728 * [backup-simplify]: Simplify (/ PI 1) into PI 116.729 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 116.730 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 116.730 * [backup-simplify]: Simplify (+ (sqrt (/ -1 k)) 1) into (+ (sqrt (/ -1 k)) 1) 116.732 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 116.733 * [backup-simplify]: Simplify (* (+ (sqrt (/ -1 k)) 1) (- (log (* -2 PI)) (log n))) into (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) 116.734 * [backup-simplify]: Simplify (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) into (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) 116.735 * [backup-simplify]: Simplify (log (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)))) into (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) 116.735 * [backup-simplify]: Simplify (- (sqrt (/ -1 k))) into (- (sqrt (/ -1 k))) 116.735 * [backup-simplify]: Simplify (+ 1 (- (sqrt (/ -1 k)))) into (- 1 (sqrt (/ -1 k))) 116.735 * [backup-simplify]: Simplify (* 1/2 (- 1 (sqrt (/ -1 k)))) into (* 1/2 (- 1 (sqrt (/ -1 k)))) 116.736 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (sqrt (/ -1 k)))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) into (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)))) 116.737 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) into (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) 116.737 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) in k 116.738 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)))) in k 116.738 * [taylor]: Taking taylor expansion of 1/2 in k 116.738 * [backup-simplify]: Simplify 1/2 into 1/2 116.738 * [taylor]: Taking taylor expansion of (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) in k 116.738 * [taylor]: Taking taylor expansion of (- 1 (sqrt (/ -1 k))) in k 116.738 * [taylor]: Taking taylor expansion of 1 in k 116.738 * [backup-simplify]: Simplify 1 into 1 116.738 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 116.738 * [taylor]: Taking taylor expansion of (/ -1 k) in k 116.738 * [taylor]: Taking taylor expansion of -1 in k 116.738 * [backup-simplify]: Simplify -1 into -1 116.738 * [taylor]: Taking taylor expansion of k in k 116.738 * [backup-simplify]: Simplify 0 into 0 116.738 * [backup-simplify]: Simplify 1 into 1 116.738 * [backup-simplify]: Simplify (/ -1 1) into -1 116.739 * [backup-simplify]: Simplify (sqrt 0) into 0 116.740 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 116.740 * [taylor]: Taking taylor expansion of (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)) in k 116.740 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 116.740 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 116.740 * [taylor]: Taking taylor expansion of (* -2 PI) in k 116.740 * [taylor]: Taking taylor expansion of -2 in k 116.740 * [backup-simplify]: Simplify -2 into -2 116.740 * [taylor]: Taking taylor expansion of PI in k 116.740 * [backup-simplify]: Simplify PI into PI 116.741 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 116.742 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 116.742 * [taylor]: Taking taylor expansion of (log n) in k 116.742 * [taylor]: Taking taylor expansion of n in k 116.742 * [backup-simplify]: Simplify n into n 116.742 * [backup-simplify]: Simplify (log n) into (log n) 116.742 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) 1) in k 116.742 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 116.742 * [taylor]: Taking taylor expansion of (/ -1 k) in k 116.742 * [taylor]: Taking taylor expansion of -1 in k 116.742 * [backup-simplify]: Simplify -1 into -1 116.742 * [taylor]: Taking taylor expansion of k in k 116.742 * [backup-simplify]: Simplify 0 into 0 116.742 * [backup-simplify]: Simplify 1 into 1 116.742 * [backup-simplify]: Simplify (/ -1 1) into -1 116.743 * [backup-simplify]: Simplify (sqrt 0) into 0 116.743 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 116.743 * [taylor]: Taking taylor expansion of 1 in k 116.743 * [backup-simplify]: Simplify 1 into 1 116.744 * [backup-simplify]: Simplify (- 0) into 0 116.744 * [backup-simplify]: Simplify (+ 0 0) into 0 116.744 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 116.744 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 116.745 * [backup-simplify]: Simplify (+ 0 0) into 0 116.745 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) 0) into 0 116.746 * [backup-simplify]: Simplify (* 0 0) into 0 116.746 * [backup-simplify]: Simplify (* 1/2 0) into 0 116.746 * [backup-simplify]: Simplify (+ +nan.0 1) into (- +nan.0) 116.746 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 116.747 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 116.748 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 116.748 * [backup-simplify]: Simplify (- 0) into 0 116.748 * [backup-simplify]: Simplify (+ 0 0) into 0 116.749 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) (- +nan.0)) (* 0 0)) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 116.750 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 116.750 * [backup-simplify]: Simplify (+ 1 (- +nan.0)) into (- +nan.0) 116.752 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (* (- +nan.0) 0)) into 0 116.752 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 0)) into 0 116.753 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 116.754 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 116.755 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 116.755 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 116.757 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0 116.758 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 116.758 * [backup-simplify]: Simplify (- 0) into 0 116.759 * [backup-simplify]: Simplify (+ 0 0) into 0 116.760 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 116.760 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 116.762 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 116.762 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 116.763 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 116.766 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (* (- +nan.0) 0))) into (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n))))) 116.768 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 0) (* 0 0))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 116.769 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) 116.771 * [backup-simplify]: Simplify (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) into (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) 116.771 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 116.772 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 116.773 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 116.773 * [backup-simplify]: Simplify (+ 0 0) into 0 116.774 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 116.775 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ -1 k)) 1) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 116.776 * [backup-simplify]: Simplify (* (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) (+ (* (/ (pow 0 1) 1)))) into 0 116.777 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) 1)))) 1) into 0 116.777 * [backup-simplify]: Simplify (- 0) into 0 116.777 * [backup-simplify]: Simplify (+ 0 0) into 0 116.778 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (sqrt (/ -1 k))))) into 0 116.778 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (sqrt (/ -1 k)))) 0) (* 0 (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1)))) into 0 116.780 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) (+ (* (/ (pow 0 1) 1)))) into 0 116.780 * [taylor]: Taking taylor expansion of 0 in k 116.780 * [backup-simplify]: Simplify 0 into 0 116.780 * [backup-simplify]: Simplify 0 into 0 116.780 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 116.782 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 116.783 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 116.783 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 116.786 * [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 0 116.788 * [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 0 116.788 * [backup-simplify]: Simplify (- 0) into 0 116.788 * [backup-simplify]: Simplify (+ 0 0) into 0 116.790 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 116.791 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 116.793 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 116.793 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 116.794 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 116.799 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (* (- +nan.0) 0)))) into (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n))))) 116.801 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 0) (* 0 0)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 116.806 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 1) 1)))) into (* -1 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) 116.819 * [backup-simplify]: Simplify (* -1 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) into (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 116.820 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 116.821 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 116.823 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0 116.823 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 116.824 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 116.824 * [backup-simplify]: Simplify (+ 0 0) into 0 116.825 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 116.826 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ -1 k)) 1) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 116.827 * [backup-simplify]: Simplify (* (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 116.829 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))) 1)))) 2) into 0 116.829 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 116.830 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 116.830 * [backup-simplify]: Simplify (- 0) into 0 116.830 * [backup-simplify]: Simplify (+ 0 0) into 0 116.831 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (sqrt (/ -1 k)))))) into 0 116.832 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (sqrt (/ -1 k)))) 0) (+ (* 0 0) (* 0 (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) into 0 116.833 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (sqrt (/ -1 k))) (* (- (log (* -2 PI)) (log n)) (+ (sqrt (/ -1 k)) 1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 116.833 * [taylor]: Taking taylor expansion of 0 in k 116.833 * [backup-simplify]: Simplify 0 into 0 116.833 * [backup-simplify]: Simplify 0 into 0 116.833 * [backup-simplify]: Simplify 0 into 0 116.834 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 116.836 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 116.837 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 116.838 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 116.844 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* -2 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* -2 PI) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* -2 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* -2 PI) 1)))) 24) into 0 116.847 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow n 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow n 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow n 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow n 1)))) 24) into 0 116.847 * [backup-simplify]: Simplify (- 0) into 0 116.848 * [backup-simplify]: Simplify (+ 0 0) into 0 116.849 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 116.850 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 116.852 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 116.853 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 116.853 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 116.865 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (* (- +nan.0) 0))))) into (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n))))) 116.871 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 (- (+ (* +nan.0 (log (* -2 PI))) (- (* +nan.0 (log n)))))) (+ (* 0 0) (* 0 0))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 116.879 * [backup-simplify]: Simplify (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))) 1) 1)))) into (* -1 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (pow (log (* -2 PI)) 2)) (- (+ (* +nan.0 (* (log n) (log (* -2 PI)))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))))))) 116.889 * [backup-simplify]: Simplify (* -1 (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (pow (log (* -2 PI)) 2)) (- (+ (* +nan.0 (* (log n) (log (* -2 PI)))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))))))))) into (* (exp (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* -2 PI)))) (- (+ (* +nan.0 (pow (log (* -2 PI)) 2)) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2 PI)))))))))))) 116.908 * [backup-simplify]: Simplify (+ (* (* (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (pow (log (/ 1 (- n))) 2)) (- (+ (* +nan.0 (* (log (/ 1 (- n))) (log (* -2 PI)))) (- (+ (* +nan.0 (pow (log (* -2 PI)) 2)) (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI)))))))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (* (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI)))))) (* (/ 1 (- k)) 1)) (exp (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2 PI))))))))) into (- (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (/ (* (pow (log (/ -1 n)) 2) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (pow (log (* -2 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI))) (pow k 2)))))))))))))))) 116.908 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 116.908 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI)) 116.909 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 116.909 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 116.909 * [taylor]: Taking taylor expansion of 2 in n 116.909 * [backup-simplify]: Simplify 2 into 2 116.909 * [taylor]: Taking taylor expansion of (* n PI) in n 116.909 * [taylor]: Taking taylor expansion of n in n 116.909 * [backup-simplify]: Simplify 0 into 0 116.909 * [backup-simplify]: Simplify 1 into 1 116.909 * [taylor]: Taking taylor expansion of PI in n 116.909 * [backup-simplify]: Simplify PI into PI 116.909 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 116.909 * [taylor]: Taking taylor expansion of 2 in n 116.909 * [backup-simplify]: Simplify 2 into 2 116.909 * [taylor]: Taking taylor expansion of (* n PI) in n 116.909 * [taylor]: Taking taylor expansion of n in n 116.909 * [backup-simplify]: Simplify 0 into 0 116.909 * [backup-simplify]: Simplify 1 into 1 116.909 * [taylor]: Taking taylor expansion of PI in n 116.909 * [backup-simplify]: Simplify PI into PI 116.910 * [backup-simplify]: Simplify (* 0 PI) into 0 116.910 * [backup-simplify]: Simplify (* 2 0) into 0 116.910 * [backup-simplify]: Simplify 0 into 0 116.912 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 116.913 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 116.914 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 116.915 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 116.916 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 116.916 * [backup-simplify]: Simplify 0 into 0 116.917 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 116.919 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 116.919 * [backup-simplify]: Simplify 0 into 0 116.920 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 116.921 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 116.921 * [backup-simplify]: Simplify 0 into 0 116.923 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 116.924 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 116.924 * [backup-simplify]: Simplify 0 into 0 116.926 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 116.928 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 116.928 * [backup-simplify]: Simplify 0 into 0 116.929 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 116.938 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 116.938 * [backup-simplify]: Simplify 0 into 0 116.939 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 116.940 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n)) 116.940 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 116.940 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 116.940 * [taylor]: Taking taylor expansion of 2 in n 116.940 * [backup-simplify]: Simplify 2 into 2 116.940 * [taylor]: Taking taylor expansion of (/ PI n) in n 116.940 * [taylor]: Taking taylor expansion of PI in n 116.940 * [backup-simplify]: Simplify PI into PI 116.940 * [taylor]: Taking taylor expansion of n in n 116.940 * [backup-simplify]: Simplify 0 into 0 116.940 * [backup-simplify]: Simplify 1 into 1 116.941 * [backup-simplify]: Simplify (/ PI 1) into PI 116.941 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 116.941 * [taylor]: Taking taylor expansion of 2 in n 116.941 * [backup-simplify]: Simplify 2 into 2 116.941 * [taylor]: Taking taylor expansion of (/ PI n) in n 116.941 * [taylor]: Taking taylor expansion of PI in n 116.941 * [backup-simplify]: Simplify PI into PI 116.941 * [taylor]: Taking taylor expansion of n in n 116.941 * [backup-simplify]: Simplify 0 into 0 116.941 * [backup-simplify]: Simplify 1 into 1 116.941 * [backup-simplify]: Simplify (/ PI 1) into PI 116.942 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 116.942 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 116.943 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 116.944 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 116.944 * [backup-simplify]: Simplify 0 into 0 116.945 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 116.946 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 116.946 * [backup-simplify]: Simplify 0 into 0 116.947 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 116.948 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 116.948 * [backup-simplify]: Simplify 0 into 0 116.949 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 116.951 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 116.951 * [backup-simplify]: Simplify 0 into 0 116.952 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 116.953 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 116.953 * [backup-simplify]: Simplify 0 into 0 116.954 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 116.956 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 116.956 * [backup-simplify]: Simplify 0 into 0 116.957 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 116.957 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n)) 116.957 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 116.957 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 116.957 * [taylor]: Taking taylor expansion of -2 in n 116.957 * [backup-simplify]: Simplify -2 into -2 116.957 * [taylor]: Taking taylor expansion of (/ PI n) in n 116.958 * [taylor]: Taking taylor expansion of PI in n 116.958 * [backup-simplify]: Simplify PI into PI 116.958 * [taylor]: Taking taylor expansion of n in n 116.958 * [backup-simplify]: Simplify 0 into 0 116.958 * [backup-simplify]: Simplify 1 into 1 116.958 * [backup-simplify]: Simplify (/ PI 1) into PI 116.958 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 116.958 * [taylor]: Taking taylor expansion of -2 in n 116.958 * [backup-simplify]: Simplify -2 into -2 116.958 * [taylor]: Taking taylor expansion of (/ PI n) in n 116.958 * [taylor]: Taking taylor expansion of PI in n 116.958 * [backup-simplify]: Simplify PI into PI 116.958 * [taylor]: Taking taylor expansion of n in n 116.958 * [backup-simplify]: Simplify 0 into 0 116.958 * [backup-simplify]: Simplify 1 into 1 116.959 * [backup-simplify]: Simplify (/ PI 1) into PI 116.959 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 116.960 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 116.961 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 116.961 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 116.961 * [backup-simplify]: Simplify 0 into 0 116.962 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 116.964 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 116.964 * [backup-simplify]: Simplify 0 into 0 116.965 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 116.966 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 116.966 * [backup-simplify]: Simplify 0 into 0 116.967 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 116.968 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 116.968 * [backup-simplify]: Simplify 0 into 0 116.969 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 116.971 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 116.971 * [backup-simplify]: Simplify 0 into 0 116.972 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 116.974 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 116.974 * [backup-simplify]: Simplify 0 into 0 116.974 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 116.974 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 116.974 * [backup-simplify]: Simplify (/ 1 (sqrt k)) into (sqrt (/ 1 k)) 116.974 * [approximate]: Taking taylor expansion of (sqrt (/ 1 k)) in (k) around 0 116.974 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 116.974 * [taylor]: Taking taylor expansion of (/ 1 k) in k 116.975 * [taylor]: Taking taylor expansion of k in k 116.975 * [backup-simplify]: Simplify 0 into 0 116.975 * [backup-simplify]: Simplify 1 into 1 116.975 * [backup-simplify]: Simplify (/ 1 1) into 1 116.975 * [backup-simplify]: Simplify (sqrt 0) into 0 116.977 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 116.977 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 116.977 * [taylor]: Taking taylor expansion of (/ 1 k) in k 116.977 * [taylor]: Taking taylor expansion of k in k 116.977 * [backup-simplify]: Simplify 0 into 0 116.977 * [backup-simplify]: Simplify 1 into 1 116.977 * [backup-simplify]: Simplify (/ 1 1) into 1 116.978 * [backup-simplify]: Simplify (sqrt 0) into 0 116.979 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 116.979 * [backup-simplify]: Simplify 0 into 0 116.979 * [backup-simplify]: Simplify +nan.0 into +nan.0 116.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 116.983 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 116.983 * [backup-simplify]: Simplify +nan.0 into +nan.0 116.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 116.988 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 116.988 * [backup-simplify]: Simplify +nan.0 into +nan.0 116.989 * [backup-simplify]: Simplify (+ (* +nan.0 (pow k 2)) (+ (* +nan.0 k) +nan.0)) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 116.989 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 k))) into (sqrt k) 116.989 * [approximate]: Taking taylor expansion of (sqrt k) in (k) around 0 116.989 * [taylor]: Taking taylor expansion of (sqrt k) in k 116.989 * [taylor]: Taking taylor expansion of k in k 116.989 * [backup-simplify]: Simplify 0 into 0 116.989 * [backup-simplify]: Simplify 1 into 1 116.989 * [backup-simplify]: Simplify (sqrt 0) into 0 116.991 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 116.991 * [taylor]: Taking taylor expansion of (sqrt k) in k 116.991 * [taylor]: Taking taylor expansion of k in k 116.991 * [backup-simplify]: Simplify 0 into 0 116.991 * [backup-simplify]: Simplify 1 into 1 116.991 * [backup-simplify]: Simplify (sqrt 0) into 0 116.993 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 116.993 * [backup-simplify]: Simplify 0 into 0 116.993 * [backup-simplify]: Simplify +nan.0 into +nan.0 116.996 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 116.996 * [backup-simplify]: Simplify +nan.0 into +nan.0 117.000 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 117.000 * [backup-simplify]: Simplify +nan.0 into +nan.0 117.001 * [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)))))))) 117.001 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 (- k)))) into (/ 1 (sqrt (/ -1 k))) 117.001 * [approximate]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in (k) around 0 117.001 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 117.001 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 117.001 * [taylor]: Taking taylor expansion of (/ -1 k) in k 117.001 * [taylor]: Taking taylor expansion of -1 in k 117.001 * [backup-simplify]: Simplify -1 into -1 117.001 * [taylor]: Taking taylor expansion of k in k 117.001 * [backup-simplify]: Simplify 0 into 0 117.001 * [backup-simplify]: Simplify 1 into 1 117.002 * [backup-simplify]: Simplify (/ -1 1) into -1 117.002 * [backup-simplify]: Simplify (sqrt 0) into 0 117.003 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 117.004 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 117.004 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 117.004 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 117.004 * [taylor]: Taking taylor expansion of (/ -1 k) in k 117.004 * [taylor]: Taking taylor expansion of -1 in k 117.004 * [backup-simplify]: Simplify -1 into -1 117.004 * [taylor]: Taking taylor expansion of k in k 117.004 * [backup-simplify]: Simplify 0 into 0 117.004 * [backup-simplify]: Simplify 1 into 1 117.005 * [backup-simplify]: Simplify (/ -1 1) into -1 117.005 * [backup-simplify]: Simplify (sqrt 0) into 0 117.006 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 117.007 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 117.007 * [backup-simplify]: Simplify +nan.0 into +nan.0 117.008 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 117.011 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 117.013 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 117.013 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 117.014 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 117.018 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 117.022 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 117.022 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 117.023 * [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))))) 117.023 * * * [progress]: simplifying candidates 117.023 * * * * [progress]: [ 1 / 166 ] simplifiying candidate # 117.024 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (+ 1 (sqrt k)) 1)) 117.024 * * [simplify]: iters left: 6 (14 enodes) 117.031 * * [simplify]: iters left: 5 (50 enodes) 117.047 * * [simplify]: iters left: 4 (84 enodes) 117.066 * * [simplify]: iters left: 3 (223 enodes) 117.150 * * [simplify]: iters left: 2 (417 enodes) 117.352 * * [simplify]: Extracting #0: cost 1 inf + 0 117.352 * * [simplify]: Extracting #1: cost 82 inf + 0 117.354 * * [simplify]: Extracting #2: cost 286 inf + 1 117.356 * * [simplify]: Extracting #3: cost 273 inf + 2455 117.361 * * [simplify]: Extracting #4: cost 237 inf + 11703 117.384 * * [simplify]: Extracting #5: cost 42 inf + 77895 117.402 * * [simplify]: Extracting #6: cost 0 inf + 92866 117.426 * * [simplify]: Extracting #7: cost 0 inf + 92863 117.465 * [simplify]: Simplified to (+ (* (+ (log n) (+ (log 2) (log PI))) (sqrt k)) (+ (log n) (+ (log 2) (log PI)))) 117.465 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (exp (+ (* (+ (log n) (+ (log 2) (log PI))) (sqrt k)) (+ (log n) (+ (log 2) (log PI))))) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 117.465 * * * * [progress]: [ 2 / 166 ] simplifiying candidate # 117.466 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (+ 1 (sqrt k)) 1)) 117.466 * * [simplify]: iters left: 6 (13 enodes) 117.473 * * [simplify]: iters left: 5 (48 enodes) 117.488 * * [simplify]: iters left: 4 (77 enodes) 117.515 * * [simplify]: iters left: 3 (175 enodes) 117.572 * * [simplify]: iters left: 2 (359 enodes) 117.760 * * [simplify]: Extracting #0: cost 1 inf + 0 117.760 * * [simplify]: Extracting #1: cost 77 inf + 0 117.761 * * [simplify]: Extracting #2: cost 249 inf + 1 117.762 * * [simplify]: Extracting #3: cost 238 inf + 1489 117.763 * * [simplify]: Extracting #4: cost 225 inf + 3319 117.766 * * [simplify]: Extracting #5: cost 184 inf + 14577 117.776 * * [simplify]: Extracting #6: cost 20 inf + 68948 117.793 * * [simplify]: Extracting #7: cost 0 inf + 76453 117.807 * * [simplify]: Extracting #8: cost 0 inf + 76372 117.821 * [simplify]: Simplified to (+ (* (sqrt k) (+ (log n) (log (* 2 PI)))) (+ (log n) (log (* 2 PI)))) 117.821 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (exp (+ (* (sqrt k) (+ (log n) (log (* 2 PI)))) (+ (log n) (log (* 2 PI))))) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 117.822 * * * * [progress]: [ 3 / 166 ] simplifiying candidate # 117.822 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (+ 1 (sqrt k)) 1)) 117.822 * * [simplify]: iters left: 6 (12 enodes) 117.828 * * [simplify]: iters left: 5 (47 enodes) 117.844 * * [simplify]: iters left: 4 (84 enodes) 117.873 * * [simplify]: iters left: 3 (178 enodes) 117.953 * * [simplify]: iters left: 2 (374 enodes) 118.201 * * [simplify]: Extracting #0: cost 1 inf + 0 118.202 * * [simplify]: Extracting #1: cost 80 inf + 0 118.203 * * [simplify]: Extracting #2: cost 245 inf + 1 118.205 * * [simplify]: Extracting #3: cost 238 inf + 986 118.209 * * [simplify]: Extracting #4: cost 201 inf + 6718 118.227 * * [simplify]: Extracting #5: cost 27 inf + 57296 118.254 * * [simplify]: Extracting #6: cost 0 inf + 66670 118.281 * [simplify]: Simplified to (+ (* (sqrt k) (log (* (* PI 2) n))) (log (* (* PI 2) n))) 118.281 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (exp (+ (* (sqrt k) (log (* (* PI 2) n))) (log (* (* PI 2) n)))) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 118.281 * * * * [progress]: [ 4 / 166 ] simplifiying candidate # 118.281 * * * * [progress]: [ 5 / 166 ] simplifiying candidate # 118.282 * [simplify]: Simplifying (* n (* 2 PI)) 118.282 * * [simplify]: iters left: 4 (5 enodes) 118.283 * * [simplify]: iters left: 3 (19 enodes) 118.286 * * [simplify]: iters left: 2 (27 enodes) 118.290 * * [simplify]: iters left: 1 (32 enodes) 118.294 * * [simplify]: Extracting #0: cost 1 inf + 0 118.294 * * [simplify]: Extracting #1: cost 8 inf + 0 118.294 * * [simplify]: Extracting #2: cost 7 inf + 45 118.294 * * [simplify]: Extracting #3: cost 0 inf + 421 118.294 * [simplify]: Simplified to (* (* PI 2) n) 118.295 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) (* 1 (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 118.295 * * * * [progress]: [ 6 / 166 ] simplifiying candidate # 118.295 * [simplify]: Simplifying (* n (* 2 PI)) 118.295 * * [simplify]: iters left: 4 (5 enodes) 118.296 * * [simplify]: iters left: 3 (19 enodes) 118.301 * * [simplify]: iters left: 2 (27 enodes) 118.308 * * [simplify]: iters left: 1 (32 enodes) 118.316 * * [simplify]: Extracting #0: cost 1 inf + 0 118.316 * * [simplify]: Extracting #1: cost 8 inf + 0 118.316 * * [simplify]: Extracting #2: cost 7 inf + 45 118.316 * * [simplify]: Extracting #3: cost 0 inf + 421 118.316 * [simplify]: Simplified to (* (* PI 2) n) 118.316 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) (* 1 (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 118.317 * * * * [progress]: [ 7 / 166 ] simplifiying candidate # 118.317 * [simplify]: Simplifying (* n (* 2 PI)) 118.317 * * [simplify]: iters left: 4 (5 enodes) 118.320 * * [simplify]: iters left: 3 (19 enodes) 118.325 * * [simplify]: iters left: 2 (27 enodes) 118.333 * * [simplify]: iters left: 1 (32 enodes) 118.340 * * [simplify]: Extracting #0: cost 1 inf + 0 118.341 * * [simplify]: Extracting #1: cost 8 inf + 0 118.341 * * [simplify]: Extracting #2: cost 7 inf + 45 118.341 * * [simplify]: Extracting #3: cost 0 inf + 421 118.342 * [simplify]: Simplified to (* (* PI 2) n) 118.342 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) (* 1 (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 118.342 * * * * [progress]: [ 8 / 166 ] simplifiying candidate # 118.342 * [simplify]: Simplifying (cbrt (/ (+ 1 (sqrt k)) 1)) 118.342 * * [simplify]: iters left: 6 (6 enodes) 118.345 * * [simplify]: iters left: 5 (19 enodes) 118.348 * * [simplify]: iters left: 4 (21 enodes) 118.351 * * [simplify]: Extracting #0: cost 1 inf + 0 118.351 * * [simplify]: Extracting #1: cost 3 inf + 0 118.351 * * [simplify]: Extracting #2: cost 6 inf + 0 118.351 * * [simplify]: Extracting #3: cost 7 inf + 1 118.352 * * [simplify]: Extracting #4: cost 0 inf + 572 118.352 * [simplify]: Simplified to (cbrt (+ 1 (sqrt k))) 118.352 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (* (cbrt (/ (+ 1 (sqrt k)) 1)) (cbrt (/ (+ 1 (sqrt k)) 1)))) (cbrt (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 118.352 * * * * [progress]: [ 9 / 166 ] simplifiying candidate # 118.352 * [simplify]: Simplifying (sqrt (/ (+ 1 (sqrt k)) 1)) 118.352 * * [simplify]: iters left: 6 (6 enodes) 118.354 * * [simplify]: iters left: 5 (19 enodes) 118.356 * * [simplify]: iters left: 4 (21 enodes) 118.359 * * [simplify]: Extracting #0: cost 1 inf + 0 118.359 * * [simplify]: Extracting #1: cost 3 inf + 0 118.359 * * [simplify]: Extracting #2: cost 6 inf + 0 118.360 * * [simplify]: Extracting #3: cost 7 inf + 1 118.360 * * [simplify]: Extracting #4: cost 0 inf + 492 118.360 * [simplify]: Simplified to (sqrt (+ 1 (sqrt k))) 118.360 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (sqrt (/ (+ 1 (sqrt k)) 1))) (sqrt (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 118.360 * * * * [progress]: [ 10 / 166 ] simplifiying candidate # 118.360 * [simplify]: Simplifying (/ (cbrt (+ 1 (sqrt k))) (cbrt 1)) 118.360 * * [simplify]: iters left: 6 (7 enodes) 118.362 * * [simplify]: iters left: 5 (24 enodes) 118.366 * * [simplify]: iters left: 4 (26 enodes) 118.370 * * [simplify]: iters left: 3 (28 enodes) 118.373 * * [simplify]: Extracting #0: cost 1 inf + 0 118.373 * * [simplify]: Extracting #1: cost 4 inf + 0 118.373 * * [simplify]: Extracting #2: cost 5 inf + 1 118.373 * * [simplify]: Extracting #3: cost 7 inf + 1 118.373 * * [simplify]: Extracting #4: cost 0 inf + 572 118.373 * [simplify]: Simplified to (cbrt (+ 1 (sqrt k))) 118.373 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (* (cbrt (+ 1 (sqrt k))) (cbrt (+ 1 (sqrt k)))) (* (cbrt 1) (cbrt 1)))) (cbrt (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 118.373 * * * * [progress]: [ 11 / 166 ] simplifiying candidate # 118.374 * [simplify]: Simplifying (/ (cbrt (+ 1 (sqrt k))) (sqrt 1)) 118.374 * * [simplify]: iters left: 6 (7 enodes) 118.378 * * [simplify]: iters left: 5 (24 enodes) 118.389 * * [simplify]: iters left: 4 (26 enodes) 118.396 * * [simplify]: iters left: 3 (28 enodes) 118.402 * * [simplify]: Extracting #0: cost 1 inf + 0 118.402 * * [simplify]: Extracting #1: cost 4 inf + 0 118.403 * * [simplify]: Extracting #2: cost 5 inf + 1 118.403 * * [simplify]: Extracting #3: cost 7 inf + 1 118.403 * * [simplify]: Extracting #4: cost 0 inf + 572 118.403 * [simplify]: Simplified to (cbrt (+ 1 (sqrt k))) 118.403 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (* (cbrt (+ 1 (sqrt k))) (cbrt (+ 1 (sqrt k)))) (sqrt 1))) (cbrt (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 118.403 * * * * [progress]: [ 12 / 166 ] simplifiying candidate # 118.404 * [simplify]: Simplifying (/ (cbrt (+ 1 (sqrt k))) 1) 118.404 * * [simplify]: iters left: 6 (6 enodes) 118.406 * * [simplify]: iters left: 5 (19 enodes) 118.409 * * [simplify]: iters left: 4 (21 enodes) 118.412 * * [simplify]: Extracting #0: cost 1 inf + 0 118.412 * * [simplify]: Extracting #1: cost 4 inf + 0 118.412 * * [simplify]: Extracting #2: cost 5 inf + 1 118.412 * * [simplify]: Extracting #3: cost 7 inf + 1 118.412 * * [simplify]: Extracting #4: cost 0 inf + 572 118.412 * [simplify]: Simplified to (cbrt (+ 1 (sqrt k))) 118.412 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (* (cbrt (+ 1 (sqrt k))) (cbrt (+ 1 (sqrt k)))) 1)) (cbrt (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 118.412 * * * * [progress]: [ 13 / 166 ] simplifiying candidate # 118.412 * [simplify]: Simplifying (/ (sqrt (+ 1 (sqrt k))) (cbrt 1)) 118.412 * * [simplify]: iters left: 6 (7 enodes) 118.414 * * [simplify]: iters left: 5 (24 enodes) 118.418 * * [simplify]: iters left: 4 (26 enodes) 118.421 * * [simplify]: iters left: 3 (28 enodes) 118.424 * * [simplify]: Extracting #0: cost 1 inf + 0 118.424 * * [simplify]: Extracting #1: cost 4 inf + 0 118.424 * * [simplify]: Extracting #2: cost 5 inf + 1 118.424 * * [simplify]: Extracting #3: cost 7 inf + 1 118.424 * * [simplify]: Extracting #4: cost 0 inf + 492 118.425 * [simplify]: Simplified to (sqrt (+ 1 (sqrt k))) 118.425 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (sqrt (+ 1 (sqrt k))) (* (cbrt 1) (cbrt 1)))) (sqrt (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 118.425 * * * * [progress]: [ 14 / 166 ] simplifiying candidate # 118.425 * [simplify]: Simplifying (/ (sqrt (+ 1 (sqrt k))) (sqrt 1)) 118.425 * * [simplify]: iters left: 6 (7 enodes) 118.427 * * [simplify]: iters left: 5 (24 enodes) 118.430 * * [simplify]: iters left: 4 (26 enodes) 118.434 * * [simplify]: iters left: 3 (28 enodes) 118.440 * * [simplify]: Extracting #0: cost 1 inf + 0 118.440 * * [simplify]: Extracting #1: cost 4 inf + 0 118.440 * * [simplify]: Extracting #2: cost 5 inf + 1 118.440 * * [simplify]: Extracting #3: cost 7 inf + 1 118.441 * * [simplify]: Extracting #4: cost 0 inf + 492 118.441 * [simplify]: Simplified to (sqrt (+ 1 (sqrt k))) 118.441 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (sqrt (+ 1 (sqrt k))) (sqrt 1))) (sqrt (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 118.441 * * * * [progress]: [ 15 / 166 ] simplifiying candidate # 118.441 * [simplify]: Simplifying (/ (sqrt (+ 1 (sqrt k))) 1) 118.441 * * [simplify]: iters left: 6 (6 enodes) 118.444 * * [simplify]: iters left: 5 (19 enodes) 118.450 * * [simplify]: iters left: 4 (21 enodes) 118.455 * * [simplify]: Extracting #0: cost 1 inf + 0 118.456 * * [simplify]: Extracting #1: cost 4 inf + 0 118.456 * * [simplify]: Extracting #2: cost 5 inf + 1 118.456 * * [simplify]: Extracting #3: cost 7 inf + 1 118.456 * * [simplify]: Extracting #4: cost 0 inf + 492 118.456 * [simplify]: Simplified to (sqrt (+ 1 (sqrt k))) 118.456 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (sqrt (+ 1 (sqrt k))) 1)) (sqrt (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 118.456 * * * * [progress]: [ 16 / 166 ] simplifiying candidate # 118.457 * [simplify]: Simplifying (/ (+ 1 (sqrt k)) (cbrt 1)) 118.457 * * [simplify]: iters left: 5 (6 enodes) 118.461 * * [simplify]: iters left: 4 (21 enodes) 118.467 * * [simplify]: iters left: 3 (23 enodes) 118.474 * * [simplify]: iters left: 2 (25 enodes) 118.479 * * [simplify]: Extracting #0: cost 1 inf + 0 118.479 * * [simplify]: Extracting #1: cost 4 inf + 0 118.479 * * [simplify]: Extracting #2: cost 5 inf + 1 118.480 * * [simplify]: Extracting #3: cost 4 inf + 2 118.480 * * [simplify]: Extracting #4: cost 1 inf + 166 118.480 * * [simplify]: Extracting #5: cost 0 inf + 248 118.480 * [simplify]: Simplified to (+ 1 (sqrt k)) 118.480 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 1) (cbrt 1)))) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 118.480 * * * * [progress]: [ 17 / 166 ] simplifiying candidate # 118.480 * [simplify]: Simplifying (/ (+ 1 (sqrt k)) (sqrt 1)) 118.481 * * [simplify]: iters left: 5 (6 enodes) 118.485 * * [simplify]: iters left: 4 (21 enodes) 118.491 * * [simplify]: iters left: 3 (23 enodes) 118.497 * * [simplify]: iters left: 2 (25 enodes) 118.503 * * [simplify]: Extracting #0: cost 1 inf + 0 118.503 * * [simplify]: Extracting #1: cost 4 inf + 0 118.503 * * [simplify]: Extracting #2: cost 5 inf + 1 118.503 * * [simplify]: Extracting #3: cost 4 inf + 2 118.503 * * [simplify]: Extracting #4: cost 1 inf + 166 118.504 * * [simplify]: Extracting #5: cost 0 inf + 248 118.504 * [simplify]: Simplified to (+ 1 (sqrt k)) 118.504 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 1))) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 118.504 * * * * [progress]: [ 18 / 166 ] simplifiying candidate # 118.504 * [simplify]: Simplifying (/ (+ 1 (sqrt k)) 1) 118.504 * * [simplify]: iters left: 5 (5 enodes) 118.507 * * [simplify]: iters left: 4 (16 enodes) 118.515 * * [simplify]: iters left: 3 (18 enodes) 118.521 * * [simplify]: Extracting #0: cost 1 inf + 0 118.521 * * [simplify]: Extracting #1: cost 4 inf + 0 118.521 * * [simplify]: Extracting #2: cost 5 inf + 1 118.521 * * [simplify]: Extracting #3: cost 1 inf + 166 118.521 * * [simplify]: Extracting #4: cost 0 inf + 248 118.521 * [simplify]: Simplified to (+ 1 (sqrt k)) 118.521 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ 1 1)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 118.522 * * * * [progress]: [ 19 / 166 ] simplifiying candidate # 118.522 * [simplify]: Simplifying (/ (+ (sqrt 1) (sqrt k)) (cbrt 1)) 118.522 * * [simplify]: iters left: 5 (7 enodes) 118.527 * * [simplify]: iters left: 4 (24 enodes) 118.530 * * [simplify]: iters left: 3 (26 enodes) 118.533 * * [simplify]: iters left: 2 (28 enodes) 118.537 * * [simplify]: Extracting #0: cost 1 inf + 0 118.537 * * [simplify]: Extracting #1: cost 4 inf + 0 118.537 * * [simplify]: Extracting #2: cost 5 inf + 1 118.537 * * [simplify]: Extracting #3: cost 4 inf + 2 118.537 * * [simplify]: Extracting #4: cost 1 inf + 166 118.537 * * [simplify]: Extracting #5: cost 0 inf + 248 118.537 * [simplify]: Simplified to (+ (sqrt k) 1) 118.537 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (sqrt 1) (* (cbrt 1) (cbrt 1)))) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 118.537 * * * * [progress]: [ 20 / 166 ] simplifiying candidate # 118.537 * [simplify]: Simplifying (/ (+ (sqrt 1) (sqrt k)) (sqrt 1)) 118.537 * * [simplify]: iters left: 5 (6 enodes) 118.539 * * [simplify]: iters left: 4 (21 enodes) 118.543 * * [simplify]: iters left: 3 (23 enodes) 118.546 * * [simplify]: iters left: 2 (25 enodes) 118.549 * * [simplify]: Extracting #0: cost 1 inf + 0 118.549 * * [simplify]: Extracting #1: cost 4 inf + 0 118.549 * * [simplify]: Extracting #2: cost 5 inf + 1 118.549 * * [simplify]: Extracting #3: cost 1 inf + 166 118.549 * * [simplify]: Extracting #4: cost 0 inf + 248 118.549 * [simplify]: Simplified to (+ (sqrt k) 1) 118.549 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (sqrt 1) (sqrt 1))) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 118.549 * * * * [progress]: [ 21 / 166 ] simplifiying candidate # 118.549 * [simplify]: Simplifying (/ (+ (sqrt 1) (sqrt k)) 1) 118.549 * * [simplify]: iters left: 5 (6 enodes) 118.551 * * [simplify]: iters left: 4 (19 enodes) 118.554 * * [simplify]: iters left: 3 (21 enodes) 118.557 * * [simplify]: Extracting #0: cost 1 inf + 0 118.557 * * [simplify]: Extracting #1: cost 4 inf + 0 118.557 * * [simplify]: Extracting #2: cost 5 inf + 1 118.557 * * [simplify]: Extracting #3: cost 0 inf + 248 118.557 * [simplify]: Simplified to (+ (sqrt k) 1) 118.557 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (sqrt 1) 1)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 118.557 * * * * [progress]: [ 22 / 166 ] simplifiying candidate # 118.557 * [simplify]: Simplifying (/ (+ 1 (sqrt k)) (cbrt 1)) 118.557 * * [simplify]: iters left: 5 (6 enodes) 118.560 * * [simplify]: iters left: 4 (21 enodes) 118.563 * * [simplify]: iters left: 3 (23 enodes) 118.566 * * [simplify]: iters left: 2 (25 enodes) 118.569 * * [simplify]: Extracting #0: cost 1 inf + 0 118.569 * * [simplify]: Extracting #1: cost 4 inf + 0 118.569 * * [simplify]: Extracting #2: cost 5 inf + 1 118.569 * * [simplify]: Extracting #3: cost 4 inf + 2 118.569 * * [simplify]: Extracting #4: cost 1 inf + 166 118.569 * * [simplify]: Extracting #5: cost 0 inf + 248 118.570 * [simplify]: Simplified to (+ 1 (sqrt k)) 118.570 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 1) (cbrt 1)))) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 118.570 * * * * [progress]: [ 23 / 166 ] simplifiying candidate # 118.570 * [simplify]: Simplifying (/ (+ 1 (sqrt k)) (sqrt 1)) 118.570 * * [simplify]: iters left: 5 (6 enodes) 118.575 * * [simplify]: iters left: 4 (21 enodes) 118.581 * * [simplify]: iters left: 3 (23 enodes) 118.588 * * [simplify]: iters left: 2 (25 enodes) 118.594 * * [simplify]: Extracting #0: cost 1 inf + 0 118.594 * * [simplify]: Extracting #1: cost 4 inf + 0 118.594 * * [simplify]: Extracting #2: cost 5 inf + 1 118.594 * * [simplify]: Extracting #3: cost 4 inf + 2 118.594 * * [simplify]: Extracting #4: cost 1 inf + 166 118.594 * * [simplify]: Extracting #5: cost 0 inf + 248 118.594 * [simplify]: Simplified to (+ 1 (sqrt k)) 118.594 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 1))) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 118.595 * * * * [progress]: [ 24 / 166 ] simplifiying candidate # 118.595 * [simplify]: Simplifying (/ (+ 1 (sqrt k)) 1) 118.595 * * [simplify]: iters left: 5 (5 enodes) 118.598 * * [simplify]: iters left: 4 (16 enodes) 118.603 * * [simplify]: iters left: 3 (18 enodes) 118.608 * * [simplify]: Extracting #0: cost 1 inf + 0 118.608 * * [simplify]: Extracting #1: cost 4 inf + 0 118.608 * * [simplify]: Extracting #2: cost 5 inf + 1 118.608 * * [simplify]: Extracting #3: cost 1 inf + 166 118.608 * * [simplify]: Extracting #4: cost 0 inf + 248 118.608 * [simplify]: Simplified to (+ 1 (sqrt k)) 118.608 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ 1 1)) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 118.608 * * * * [progress]: [ 25 / 166 ] simplifiying candidate # 118.609 * [simplify]: Simplifying (/ (+ 1 (sqrt k)) 1) 118.609 * * [simplify]: iters left: 5 (5 enodes) 118.611 * * [simplify]: iters left: 4 (16 enodes) 118.616 * * [simplify]: iters left: 3 (18 enodes) 118.621 * * [simplify]: Extracting #0: cost 1 inf + 0 118.621 * * [simplify]: Extracting #1: cost 4 inf + 0 118.621 * * [simplify]: Extracting #2: cost 5 inf + 1 118.622 * * [simplify]: Extracting #3: cost 1 inf + 166 118.622 * * [simplify]: Extracting #4: cost 0 inf + 248 118.622 * [simplify]: Simplified to (+ 1 (sqrt k)) 118.622 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) 1) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 118.622 * * * * [progress]: [ 26 / 166 ] simplifiying candidate # 118.622 * [simplify]: Simplifying (/ 1 1) 118.622 * * [simplify]: iters left: 2 (2 enodes) 118.624 * * [simplify]: iters left: 1 (6 enodes) 118.626 * * [simplify]: Extracting #0: cost 1 inf + 0 118.626 * * [simplify]: Extracting #1: cost 0 inf + 1 118.626 * [simplify]: Simplified to 1 118.626 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (+ 1 (sqrt k))) 1) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 118.626 * * * * [progress]: [ 27 / 166 ] simplifiying candidate # 118.626 * [simplify]: Simplifying (pow n (/ (+ 1 (sqrt k)) 1)) 118.626 * * [simplify]: iters left: 6 (7 enodes) 118.630 * * [simplify]: iters left: 5 (26 enodes) 118.642 * * [simplify]: iters left: 4 (39 enodes) 118.655 * * [simplify]: iters left: 3 (65 enodes) 118.679 * * [simplify]: iters left: 2 (127 enodes) 118.719 * * [simplify]: iters left: 1 (256 enodes) 118.835 * * [simplify]: Extracting #0: cost 1 inf + 0 118.835 * * [simplify]: Extracting #1: cost 26 inf + 0 118.835 * * [simplify]: Extracting #2: cost 88 inf + 2 118.835 * * [simplify]: Extracting #3: cost 119 inf + 7 118.836 * * [simplify]: Extracting #4: cost 116 inf + 135 118.836 * * [simplify]: Extracting #5: cost 97 inf + 2803 118.840 * * [simplify]: Extracting #6: cost 40 inf + 25495 118.845 * * [simplify]: Extracting #7: cost 11 inf + 43817 118.856 * * [simplify]: Extracting #8: cost 0 inf + 52114 118.863 * [simplify]: Simplified to (pow n (+ 1 (sqrt k))) 118.863 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (* (pow n (+ 1 (sqrt k))) (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 118.863 * * * * [progress]: [ 28 / 166 ] simplifiying candidate # 118.863 * * * * [progress]: [ 29 / 166 ] simplifiying candidate # 118.863 * * * * [progress]: [ 30 / 166 ] simplifiying candidate # 118.863 * * * * [progress]: [ 31 / 166 ] simplifiying candidate # 118.863 * * * * [progress]: [ 32 / 166 ] simplifiying candidate # 118.863 * * * * [progress]: [ 33 / 166 ] simplifiying candidate # 118.863 * * * * [progress]: [ 34 / 166 ] simplifiying candidate # 118.863 * * * * [progress]: [ 35 / 166 ] simplifiying candidate # 118.863 * * * * [progress]: [ 36 / 166 ] simplifiying candidate #real (real->posit16 (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k))))> 118.863 * * * * [progress]: [ 37 / 166 ] simplifiying candidate # 118.864 * [simplify]: Simplifying (* (* (+ (log n) (+ (log 2) (log PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) 118.864 * * [simplify]: iters left: 6 (17 enodes) 118.869 * * [simplify]: iters left: 5 (70 enodes) 118.888 * * [simplify]: iters left: 4 (136 enodes) 118.943 * * [simplify]: Extracting #0: cost 1 inf + 0 118.944 * * [simplify]: Extracting #1: cost 51 inf + 0 118.944 * * [simplify]: Extracting #2: cost 133 inf + 2 118.948 * * [simplify]: Extracting #3: cost 177 inf + 186 118.949 * * [simplify]: Extracting #4: cost 167 inf + 1031 118.951 * * [simplify]: Extracting #5: cost 114 inf + 10315 118.959 * * [simplify]: Extracting #6: cost 16 inf + 41953 118.976 * * [simplify]: Extracting #7: cost 0 inf + 47757 118.994 * [simplify]: Simplified to (* (+ (+ (log n) (+ (log 2) (log PI))) (* (+ (log n) (+ (log 2) (log PI))) (sqrt k))) (/ (- 1 (sqrt k)) 2)) 118.994 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (* (+ (+ (log n) (+ (log 2) (log PI))) (* (+ (log n) (+ (log 2) (log PI))) (sqrt k))) (/ (- 1 (sqrt k)) 2))) (/ 1 (sqrt k)))) 118.994 * * * * [progress]: [ 38 / 166 ] simplifiying candidate # 118.994 * [simplify]: Simplifying (* (* (+ (log n) (log (* 2 PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) 118.994 * * [simplify]: iters left: 6 (16 enodes) 119.001 * * [simplify]: iters left: 5 (68 enodes) 119.012 * * [simplify]: iters left: 4 (129 enodes) 119.062 * * [simplify]: iters left: 3 (421 enodes) 119.302 * * [simplify]: Extracting #0: cost 1 inf + 0 119.302 * * [simplify]: Extracting #1: cost 67 inf + 0 119.303 * * [simplify]: Extracting #2: cost 263 inf + 2 119.304 * * [simplify]: Extracting #3: cost 375 inf + 74 119.310 * * [simplify]: Extracting #4: cost 228 inf + 37236 119.329 * * [simplify]: Extracting #5: cost 17 inf + 103523 119.369 * * [simplify]: Extracting #6: cost 0 inf + 111259 119.393 * * [simplify]: Extracting #7: cost 0 inf + 111252 119.439 * [simplify]: Simplified to (* (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) (/ (- 1 (sqrt k)) 2)) 119.439 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (* (* (+ (sqrt k) 1) (+ (log n) (log (* 2 PI)))) (/ (- 1 (sqrt k)) 2))) (/ 1 (sqrt k)))) 119.440 * * * * [progress]: [ 39 / 166 ] simplifiying candidate # 119.440 * [simplify]: Simplifying (* (* (log (* n (* 2 PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) 119.440 * * [simplify]: iters left: 6 (15 enodes) 119.449 * * [simplify]: iters left: 5 (67 enodes) 119.475 * * [simplify]: iters left: 4 (136 enodes) 119.505 * * [simplify]: iters left: 3 (395 enodes) 119.727 * * [simplify]: Extracting #0: cost 1 inf + 0 119.728 * * [simplify]: Extracting #1: cost 63 inf + 0 119.728 * * [simplify]: Extracting #2: cost 241 inf + 2 119.730 * * [simplify]: Extracting #3: cost 359 inf + 298 119.732 * * [simplify]: Extracting #4: cost 307 inf + 10117 119.745 * * [simplify]: Extracting #5: cost 143 inf + 53720 119.782 * * [simplify]: Extracting #6: cost 16 inf + 89644 119.822 * * [simplify]: Extracting #7: cost 0 inf + 95108 119.842 * [simplify]: Simplified to (* (* (log (* (* PI 2) n)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)) 119.842 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (* (* (log (* (* PI 2) n)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))) (/ 1 (sqrt k)))) 119.843 * * * * [progress]: [ 40 / 166 ] simplifiying candidate # 119.843 * [simplify]: Simplifying (* (* (log (* n (* 2 PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) 119.843 * * [simplify]: iters left: 6 (15 enodes) 119.847 * * [simplify]: iters left: 5 (67 enodes) 119.859 * * [simplify]: iters left: 4 (136 enodes) 119.892 * * [simplify]: iters left: 3 (395 enodes) 120.174 * * [simplify]: Extracting #0: cost 1 inf + 0 120.174 * * [simplify]: Extracting #1: cost 63 inf + 0 120.175 * * [simplify]: Extracting #2: cost 241 inf + 2 120.176 * * [simplify]: Extracting #3: cost 359 inf + 298 120.179 * * [simplify]: Extracting #4: cost 307 inf + 10117 120.194 * * [simplify]: Extracting #5: cost 143 inf + 53720 120.231 * * [simplify]: Extracting #6: cost 16 inf + 89644 120.271 * * [simplify]: Extracting #7: cost 0 inf + 95108 120.294 * [simplify]: Simplified to (* (* (log (* (* PI 2) n)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)) 120.294 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (* (* (log (* (* PI 2) n)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))) (/ 1 (sqrt k)))) 120.294 * * * * [progress]: [ 41 / 166 ] simplifiying candidate # 120.294 * [simplify]: Simplifying (* (log (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) 120.294 * * [simplify]: iters left: 6 (15 enodes) 120.299 * * [simplify]: iters left: 5 (64 enodes) 120.320 * * [simplify]: iters left: 4 (120 enodes) 120.358 * * [simplify]: iters left: 3 (293 enodes) 120.564 * * [simplify]: Extracting #0: cost 1 inf + 0 120.564 * * [simplify]: Extracting #1: cost 53 inf + 0 120.565 * * [simplify]: Extracting #2: cost 235 inf + 2 120.568 * * [simplify]: Extracting #3: cost 342 inf + 298 120.572 * * [simplify]: Extracting #4: cost 274 inf + 14535 120.593 * * [simplify]: Extracting #5: cost 61 inf + 69533 120.630 * * [simplify]: Extracting #6: cost 10 inf + 85983 120.657 * * [simplify]: Extracting #7: cost 0 inf + 90234 120.675 * * [simplify]: Extracting #8: cost 0 inf + 90025 120.700 * [simplify]: Simplified to (/ (- (+ (* (log (* (* PI 2) n)) (sqrt k)) (log (* (* PI 2) n))) (* (+ (* (log (* (* PI 2) n)) (sqrt k)) (log (* (* PI 2) n))) (sqrt k))) 2) 120.700 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (/ (- (+ (* (log (* (* PI 2) n)) (sqrt k)) (log (* (* PI 2) n))) (* (+ (* (log (* (* PI 2) n)) (sqrt k)) (log (* (* PI 2) n))) (sqrt k))) 2)) (/ 1 (sqrt k)))) 120.700 * * * * [progress]: [ 42 / 166 ] simplifiying candidate # 120.701 * * * * [progress]: [ 43 / 166 ] simplifiying candidate # 120.701 * [simplify]: Simplifying (* n (* 2 PI)) 120.701 * * [simplify]: iters left: 4 (5 enodes) 120.703 * * [simplify]: iters left: 3 (19 enodes) 120.705 * * [simplify]: iters left: 2 (27 enodes) 120.709 * * [simplify]: iters left: 1 (32 enodes) 120.713 * * [simplify]: Extracting #0: cost 1 inf + 0 120.713 * * [simplify]: Extracting #1: cost 8 inf + 0 120.713 * * [simplify]: Extracting #2: cost 7 inf + 45 120.713 * * [simplify]: Extracting #3: cost 0 inf + 421 120.713 * [simplify]: Simplified to (* (* PI 2) n) 120.713 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI 2) n) (* (/ (+ 1 (sqrt k)) 1) (/ (- 1 (sqrt k)) 2))) (/ 1 (sqrt k)))) 120.714 * * * * [progress]: [ 44 / 166 ] simplifiying candidate # 120.714 * [simplify]: Simplifying (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (sqrt k) 2)) 120.714 * * [simplify]: iters left: 6 (13 enodes) 120.717 * * [simplify]: iters left: 5 (50 enodes) 120.727 * * [simplify]: iters left: 4 (81 enodes) 120.751 * * [simplify]: iters left: 3 (136 enodes) 120.792 * * [simplify]: iters left: 2 (257 enodes) 120.868 * * [simplify]: Extracting #0: cost 1 inf + 0 120.868 * * [simplify]: Extracting #1: cost 13 inf + 0 120.868 * * [simplify]: Extracting #2: cost 63 inf + 1 120.869 * * [simplify]: Extracting #3: cost 125 inf + 5 120.869 * * [simplify]: Extracting #4: cost 134 inf + 507 120.872 * * [simplify]: Extracting #5: cost 59 inf + 22010 120.879 * * [simplify]: Extracting #6: cost 3 inf + 53599 120.887 * * [simplify]: Extracting #7: cost 0 inf + 56180 120.902 * [simplify]: Simplified to (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (sqrt k) 2)) 120.902 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ 1 2)) (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (sqrt k) 2))) (/ 1 (sqrt k)))) 120.902 * * * * [progress]: [ 45 / 166 ] simplifiying candidate # 120.902 * [simplify]: Simplifying (cbrt (/ (- 1 (sqrt k)) 2)) 120.903 * * [simplify]: iters left: 6 (7 enodes) 120.907 * * [simplify]: iters left: 5 (29 enodes) 120.917 * * [simplify]: iters left: 4 (38 enodes) 120.927 * * [simplify]: Extracting #0: cost 1 inf + 0 120.927 * * [simplify]: Extracting #1: cost 3 inf + 0 120.927 * * [simplify]: Extracting #2: cost 8 inf + 0 120.927 * * [simplify]: Extracting #3: cost 11 inf + 2 120.927 * * [simplify]: Extracting #4: cost 13 inf + 3 120.927 * * [simplify]: Extracting #5: cost 12 inf + 4 120.928 * * [simplify]: Extracting #6: cost 3 inf + 740 120.928 * * [simplify]: Extracting #7: cost 0 inf + 1228 120.928 * [simplify]: Simplified to (cbrt (- 1/2 (/ (sqrt k) 2))) 120.928 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (* (cbrt (/ (- 1 (sqrt k)) 2)) (cbrt (/ (- 1 (sqrt k)) 2)))) (cbrt (- 1/2 (/ (sqrt k) 2)))) (/ 1 (sqrt k)))) 120.928 * * * * [progress]: [ 46 / 166 ] simplifiying candidate # 120.928 * [simplify]: Simplifying (sqrt (/ (- 1 (sqrt k)) 2)) 120.928 * * [simplify]: iters left: 6 (7 enodes) 120.931 * * [simplify]: iters left: 5 (29 enodes) 120.935 * * [simplify]: iters left: 4 (38 enodes) 120.941 * * [simplify]: Extracting #0: cost 1 inf + 0 120.941 * * [simplify]: Extracting #1: cost 3 inf + 0 120.941 * * [simplify]: Extracting #2: cost 8 inf + 0 120.941 * * [simplify]: Extracting #3: cost 11 inf + 2 120.941 * * [simplify]: Extracting #4: cost 13 inf + 3 120.941 * * [simplify]: Extracting #5: cost 12 inf + 4 120.942 * * [simplify]: Extracting #6: cost 3 inf + 740 120.942 * * [simplify]: Extracting #7: cost 0 inf + 1148 120.942 * [simplify]: Simplified to (sqrt (- 1/2 (/ (sqrt k) 2))) 120.942 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (sqrt (/ (- 1 (sqrt k)) 2))) (sqrt (- 1/2 (/ (sqrt k) 2)))) (/ 1 (sqrt k)))) 120.942 * * * * [progress]: [ 47 / 166 ] simplifiying candidate # 120.942 * [simplify]: Simplifying (/ (cbrt (- 1 (sqrt k))) (cbrt 2)) 120.942 * * [simplify]: iters left: 6 (8 enodes) 120.948 * * [simplify]: iters left: 5 (28 enodes) 120.953 * * [simplify]: iters left: 4 (33 enodes) 120.958 * * [simplify]: Extracting #0: cost 1 inf + 0 120.958 * * [simplify]: Extracting #1: cost 4 inf + 0 120.958 * * [simplify]: Extracting #2: cost 8 inf + 0 120.959 * * [simplify]: Extracting #3: cost 9 inf + 163 120.959 * * [simplify]: Extracting #4: cost 11 inf + 164 120.959 * * [simplify]: Extracting #5: cost 10 inf + 165 120.959 * * [simplify]: Extracting #6: cost 5 inf + 491 120.959 * * [simplify]: Extracting #7: cost 0 inf + 1463 120.959 * [simplify]: Simplified to (/ (cbrt (- 1 (sqrt k))) (cbrt 2)) 120.959 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (* (cbrt (- 1 (sqrt k))) (cbrt (- 1 (sqrt k)))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 (sqrt k))) (cbrt 2))) (/ 1 (sqrt k)))) 120.959 * * * * [progress]: [ 48 / 166 ] simplifiying candidate # 120.960 * [simplify]: Simplifying (/ (cbrt (- 1 (sqrt k))) (sqrt 2)) 120.960 * * [simplify]: iters left: 6 (8 enodes) 120.962 * * [simplify]: iters left: 5 (28 enodes) 120.971 * * [simplify]: iters left: 4 (33 enodes) 120.981 * * [simplify]: Extracting #0: cost 1 inf + 0 120.981 * * [simplify]: Extracting #1: cost 4 inf + 0 120.981 * * [simplify]: Extracting #2: cost 8 inf + 0 120.981 * * [simplify]: Extracting #3: cost 9 inf + 83 120.981 * * [simplify]: Extracting #4: cost 11 inf + 84 120.981 * * [simplify]: Extracting #5: cost 10 inf + 85 120.982 * * [simplify]: Extracting #6: cost 5 inf + 411 120.982 * * [simplify]: Extracting #7: cost 0 inf + 1303 120.982 * [simplify]: Simplified to (/ (cbrt (- 1 (sqrt k))) (sqrt 2)) 120.982 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (* (cbrt (- 1 (sqrt k))) (cbrt (- 1 (sqrt k)))) (sqrt 2))) (/ (cbrt (- 1 (sqrt k))) (sqrt 2))) (/ 1 (sqrt k)))) 120.983 * * * * [progress]: [ 49 / 166 ] simplifiying candidate # 120.983 * [simplify]: Simplifying (/ (cbrt (- 1 (sqrt k))) 2) 120.983 * * [simplify]: iters left: 6 (7 enodes) 120.987 * * [simplify]: iters left: 5 (25 enodes) 120.995 * * [simplify]: iters left: 4 (30 enodes) 121.004 * * [simplify]: Extracting #0: cost 1 inf + 0 121.005 * * [simplify]: Extracting #1: cost 4 inf + 0 121.005 * * [simplify]: Extracting #2: cost 5 inf + 1 121.005 * * [simplify]: Extracting #3: cost 9 inf + 1 121.005 * * [simplify]: Extracting #4: cost 11 inf + 2 121.005 * * [simplify]: Extracting #5: cost 10 inf + 3 121.005 * * [simplify]: Extracting #6: cost 5 inf + 330 121.005 * * [simplify]: Extracting #7: cost 2 inf + 776 121.006 * * [simplify]: Extracting #8: cost 0 inf + 1141 121.006 * [simplify]: Simplified to (/ (cbrt (- 1 (sqrt k))) 2) 121.006 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (* (cbrt (- 1 (sqrt k))) (cbrt (- 1 (sqrt k)))) 1)) (/ (cbrt (- 1 (sqrt k))) 2)) (/ 1 (sqrt k)))) 121.006 * * * * [progress]: [ 50 / 166 ] simplifiying candidate # 121.007 * [simplify]: Simplifying (/ (sqrt (- 1 (sqrt k))) (cbrt 2)) 121.007 * * [simplify]: iters left: 6 (8 enodes) 121.011 * * [simplify]: iters left: 5 (28 enodes) 121.021 * * [simplify]: iters left: 4 (33 enodes) 121.031 * * [simplify]: Extracting #0: cost 1 inf + 0 121.031 * * [simplify]: Extracting #1: cost 4 inf + 0 121.031 * * [simplify]: Extracting #2: cost 8 inf + 0 121.031 * * [simplify]: Extracting #3: cost 9 inf + 163 121.031 * * [simplify]: Extracting #4: cost 11 inf + 164 121.031 * * [simplify]: Extracting #5: cost 10 inf + 165 121.032 * * [simplify]: Extracting #6: cost 5 inf + 491 121.032 * * [simplify]: Extracting #7: cost 0 inf + 1303 121.032 * [simplify]: Simplified to (/ (sqrt (- 1 (sqrt k))) (cbrt 2)) 121.032 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (sqrt (- 1 (sqrt k))) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 (sqrt k))) (cbrt 2))) (/ 1 (sqrt k)))) 121.033 * * * * [progress]: [ 51 / 166 ] simplifiying candidate # 121.033 * [simplify]: Simplifying (/ (sqrt (- 1 (sqrt k))) (sqrt 2)) 121.033 * * [simplify]: iters left: 6 (8 enodes) 121.037 * * [simplify]: iters left: 5 (28 enodes) 121.046 * * [simplify]: iters left: 4 (33 enodes) 121.056 * * [simplify]: Extracting #0: cost 1 inf + 0 121.056 * * [simplify]: Extracting #1: cost 4 inf + 0 121.056 * * [simplify]: Extracting #2: cost 8 inf + 0 121.056 * * [simplify]: Extracting #3: cost 9 inf + 83 121.057 * * [simplify]: Extracting #4: cost 11 inf + 84 121.057 * * [simplify]: Extracting #5: cost 10 inf + 85 121.057 * * [simplify]: Extracting #6: cost 5 inf + 411 121.057 * * [simplify]: Extracting #7: cost 0 inf + 1143 121.058 * [simplify]: Simplified to (/ (sqrt (- 1 (sqrt k))) (sqrt 2)) 121.058 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (sqrt (- 1 (sqrt k))) (sqrt 2))) (/ (sqrt (- 1 (sqrt k))) (sqrt 2))) (/ 1 (sqrt k)))) 121.058 * * * * [progress]: [ 52 / 166 ] simplifiying candidate # 121.058 * [simplify]: Simplifying (/ (sqrt (- 1 (sqrt k))) 2) 121.058 * * [simplify]: iters left: 6 (7 enodes) 121.062 * * [simplify]: iters left: 5 (25 enodes) 121.070 * * [simplify]: iters left: 4 (30 enodes) 121.078 * * [simplify]: Extracting #0: cost 1 inf + 0 121.079 * * [simplify]: Extracting #1: cost 4 inf + 0 121.079 * * [simplify]: Extracting #2: cost 5 inf + 1 121.079 * * [simplify]: Extracting #3: cost 9 inf + 1 121.079 * * [simplify]: Extracting #4: cost 11 inf + 2 121.079 * * [simplify]: Extracting #5: cost 10 inf + 3 121.079 * * [simplify]: Extracting #6: cost 5 inf + 330 121.079 * * [simplify]: Extracting #7: cost 2 inf + 696 121.080 * * [simplify]: Extracting #8: cost 0 inf + 981 121.080 * [simplify]: Simplified to (/ (sqrt (- 1 (sqrt k))) 2) 121.080 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (sqrt (- 1 (sqrt k))) 1)) (/ (sqrt (- 1 (sqrt k))) 2)) (/ 1 (sqrt k)))) 121.080 * * * * [progress]: [ 53 / 166 ] simplifiying candidate # 121.080 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 121.081 * * [simplify]: iters left: 5 (7 enodes) 121.085 * * [simplify]: iters left: 4 (28 enodes) 121.097 * * [simplify]: iters left: 3 (39 enodes) 121.109 * * [simplify]: iters left: 2 (43 enodes) 121.117 * * [simplify]: Extracting #0: cost 1 inf + 0 121.117 * * [simplify]: Extracting #1: cost 7 inf + 0 121.117 * * [simplify]: Extracting #2: cost 16 inf + 0 121.118 * * [simplify]: Extracting #3: cost 15 inf + 164 121.118 * * [simplify]: Extracting #4: cost 13 inf + 287 121.118 * * [simplify]: Extracting #5: cost 5 inf + 1180 121.118 * * [simplify]: Extracting #6: cost 0 inf + 1951 121.118 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 121.118 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (/ 1 (sqrt k)))) 121.118 * * * * [progress]: [ 54 / 166 ] simplifiying candidate # 121.119 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 121.119 * * [simplify]: iters left: 5 (7 enodes) 121.121 * * [simplify]: iters left: 4 (28 enodes) 121.126 * * [simplify]: iters left: 3 (39 enodes) 121.131 * * [simplify]: iters left: 2 (43 enodes) 121.138 * * [simplify]: Extracting #0: cost 1 inf + 0 121.138 * * [simplify]: Extracting #1: cost 7 inf + 0 121.138 * * [simplify]: Extracting #2: cost 16 inf + 0 121.138 * * [simplify]: Extracting #3: cost 15 inf + 84 121.138 * * [simplify]: Extracting #4: cost 13 inf + 167 121.138 * * [simplify]: Extracting #5: cost 5 inf + 900 121.138 * * [simplify]: Extracting #6: cost 0 inf + 1551 121.139 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 121.139 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ 1 (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (/ 1 (sqrt k)))) 121.139 * * * * [progress]: [ 55 / 166 ] simplifiying candidate # 121.139 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 121.139 * * [simplify]: iters left: 5 (6 enodes) 121.141 * * [simplify]: iters left: 4 (26 enodes) 121.145 * * [simplify]: iters left: 3 (35 enodes) 121.155 * * [simplify]: Extracting #0: cost 1 inf + 0 121.155 * * [simplify]: Extracting #1: cost 6 inf + 0 121.155 * * [simplify]: Extracting #2: cost 9 inf + 2 121.155 * * [simplify]: Extracting #3: cost 11 inf + 3 121.155 * * [simplify]: Extracting #4: cost 10 inf + 4 121.156 * * [simplify]: Extracting #5: cost 3 inf + 535 121.156 * * [simplify]: Extracting #6: cost 0 inf + 822 121.156 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 121.156 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ 1 1)) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 121.156 * * * * [progress]: [ 56 / 166 ] simplifiying candidate # 121.157 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt (sqrt k))) (cbrt 2)) 121.157 * * [simplify]: iters left: 6 (9 enodes) 121.163 * * [simplify]: iters left: 5 (34 enodes) 121.173 * * [simplify]: iters left: 4 (48 enodes) 121.182 * * [simplify]: iters left: 3 (54 enodes) 121.189 * * [simplify]: iters left: 2 (55 enodes) 121.196 * * [simplify]: iters left: 1 (56 enodes) 121.213 * * [simplify]: Extracting #0: cost 1 inf + 0 121.213 * * [simplify]: Extracting #1: cost 8 inf + 0 121.213 * * [simplify]: Extracting #2: cost 18 inf + 0 121.213 * * [simplify]: Extracting #3: cost 17 inf + 164 121.213 * * [simplify]: Extracting #4: cost 16 inf + 530 121.214 * * [simplify]: Extracting #5: cost 12 inf + 735 121.214 * * [simplify]: Extracting #6: cost 4 inf + 1787 121.214 * * [simplify]: Extracting #7: cost 1 inf + 2515 121.215 * * [simplify]: Extracting #8: cost 0 inf + 2757 121.215 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) (cbrt 2)) 121.215 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ (sqrt 1) (sqrt (sqrt k))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt (sqrt k))) (cbrt 2))) (/ 1 (sqrt k)))) 121.215 * * * * [progress]: [ 57 / 166 ] simplifiying candidate # 121.215 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt (sqrt k))) (sqrt 2)) 121.215 * * [simplify]: iters left: 6 (9 enodes) 121.218 * * [simplify]: iters left: 5 (34 enodes) 121.224 * * [simplify]: iters left: 4 (48 enodes) 121.230 * * [simplify]: iters left: 3 (54 enodes) 121.237 * * [simplify]: iters left: 2 (55 enodes) 121.247 * * [simplify]: iters left: 1 (56 enodes) 121.261 * * [simplify]: Extracting #0: cost 1 inf + 0 121.261 * * [simplify]: Extracting #1: cost 8 inf + 0 121.261 * * [simplify]: Extracting #2: cost 18 inf + 0 121.261 * * [simplify]: Extracting #3: cost 17 inf + 84 121.262 * * [simplify]: Extracting #4: cost 16 inf + 330 121.262 * * [simplify]: Extracting #5: cost 12 inf + 495 121.262 * * [simplify]: Extracting #6: cost 4 inf + 1467 121.263 * * [simplify]: Extracting #7: cost 1 inf + 2075 121.264 * * [simplify]: Extracting #8: cost 0 inf + 2277 121.265 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) (sqrt 2)) 121.265 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ (sqrt 1) (sqrt (sqrt k))) (sqrt 2))) (/ (- 1 (sqrt (sqrt k))) (sqrt 2))) (/ 1 (sqrt k)))) 121.265 * * * * [progress]: [ 58 / 166 ] simplifiying candidate # 121.265 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt (sqrt k))) 2) 121.265 * * [simplify]: iters left: 6 (8 enodes) 121.270 * * [simplify]: iters left: 5 (31 enodes) 121.280 * * [simplify]: iters left: 4 (46 enodes) 121.292 * * [simplify]: iters left: 3 (49 enodes) 121.304 * * [simplify]: Extracting #0: cost 1 inf + 0 121.304 * * [simplify]: Extracting #1: cost 7 inf + 0 121.304 * * [simplify]: Extracting #2: cost 11 inf + 2 121.305 * * [simplify]: Extracting #3: cost 13 inf + 3 121.305 * * [simplify]: Extracting #4: cost 15 inf + 3 121.305 * * [simplify]: Extracting #5: cost 13 inf + 45 121.305 * * [simplify]: Extracting #6: cost 5 inf + 898 121.306 * * [simplify]: Extracting #7: cost 0 inf + 1628 121.306 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) 2) 121.306 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ (sqrt 1) (sqrt (sqrt k))) 1)) (/ (- 1 (sqrt (sqrt k))) 2)) (/ 1 (sqrt k)))) 121.307 * * * * [progress]: [ 59 / 166 ] simplifiying candidate # 121.307 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt (sqrt k))) (cbrt 2)) 121.307 * * [simplify]: iters left: 6 (9 enodes) 121.313 * * [simplify]: iters left: 5 (34 enodes) 121.327 * * [simplify]: iters left: 4 (48 enodes) 121.341 * * [simplify]: iters left: 3 (54 enodes) 121.355 * * [simplify]: iters left: 2 (55 enodes) 121.369 * * [simplify]: iters left: 1 (56 enodes) 121.383 * * [simplify]: Extracting #0: cost 1 inf + 0 121.383 * * [simplify]: Extracting #1: cost 8 inf + 0 121.384 * * [simplify]: Extracting #2: cost 18 inf + 0 121.384 * * [simplify]: Extracting #3: cost 17 inf + 164 121.384 * * [simplify]: Extracting #4: cost 16 inf + 530 121.384 * * [simplify]: Extracting #5: cost 12 inf + 735 121.385 * * [simplify]: Extracting #6: cost 4 inf + 1787 121.385 * * [simplify]: Extracting #7: cost 1 inf + 2515 121.386 * * [simplify]: Extracting #8: cost 0 inf + 2757 121.386 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) (cbrt 2)) 121.386 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ (sqrt 1) (sqrt (sqrt k))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt (sqrt k))) (cbrt 2))) (/ 1 (sqrt k)))) 121.387 * * * * [progress]: [ 60 / 166 ] simplifiying candidate # 121.387 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt (sqrt k))) (sqrt 2)) 121.387 * * [simplify]: iters left: 6 (9 enodes) 121.390 * * [simplify]: iters left: 5 (34 enodes) 121.395 * * [simplify]: iters left: 4 (48 enodes) 121.402 * * [simplify]: iters left: 3 (54 enodes) 121.410 * * [simplify]: iters left: 2 (55 enodes) 121.420 * * [simplify]: iters left: 1 (56 enodes) 121.435 * * [simplify]: Extracting #0: cost 1 inf + 0 121.435 * * [simplify]: Extracting #1: cost 8 inf + 0 121.435 * * [simplify]: Extracting #2: cost 18 inf + 0 121.435 * * [simplify]: Extracting #3: cost 17 inf + 84 121.435 * * [simplify]: Extracting #4: cost 16 inf + 330 121.435 * * [simplify]: Extracting #5: cost 12 inf + 495 121.436 * * [simplify]: Extracting #6: cost 4 inf + 1467 121.437 * * [simplify]: Extracting #7: cost 1 inf + 2075 121.437 * * [simplify]: Extracting #8: cost 0 inf + 2277 121.438 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) (sqrt 2)) 121.439 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ (sqrt 1) (sqrt (sqrt k))) (sqrt 2))) (/ (- 1 (sqrt (sqrt k))) (sqrt 2))) (/ 1 (sqrt k)))) 121.439 * * * * [progress]: [ 61 / 166 ] simplifiying candidate # 121.439 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt (sqrt k))) 2) 121.439 * * [simplify]: iters left: 6 (8 enodes) 121.444 * * [simplify]: iters left: 5 (31 enodes) 121.455 * * [simplify]: iters left: 4 (46 enodes) 121.462 * * [simplify]: iters left: 3 (49 enodes) 121.468 * * [simplify]: Extracting #0: cost 1 inf + 0 121.468 * * [simplify]: Extracting #1: cost 7 inf + 0 121.468 * * [simplify]: Extracting #2: cost 11 inf + 2 121.468 * * [simplify]: Extracting #3: cost 13 inf + 3 121.468 * * [simplify]: Extracting #4: cost 15 inf + 3 121.468 * * [simplify]: Extracting #5: cost 13 inf + 45 121.468 * * [simplify]: Extracting #6: cost 5 inf + 898 121.469 * * [simplify]: Extracting #7: cost 0 inf + 1628 121.469 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) 2) 121.469 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ (sqrt 1) (sqrt (sqrt k))) 1)) (/ (- 1 (sqrt (sqrt k))) 2)) (/ 1 (sqrt k)))) 121.469 * * * * [progress]: [ 62 / 166 ] simplifiying candidate # 121.469 * [simplify]: Simplifying (/ (- 1 (sqrt (sqrt k))) (cbrt 2)) 121.469 * * [simplify]: iters left: 6 (8 enodes) 121.472 * * [simplify]: iters left: 5 (31 enodes) 121.477 * * [simplify]: iters left: 4 (42 enodes) 121.489 * * [simplify]: iters left: 3 (46 enodes) 121.502 * * [simplify]: Extracting #0: cost 1 inf + 0 121.502 * * [simplify]: Extracting #1: cost 7 inf + 0 121.502 * * [simplify]: Extracting #2: cost 16 inf + 0 121.502 * * [simplify]: Extracting #3: cost 17 inf + 2 121.503 * * [simplify]: Extracting #4: cost 15 inf + 408 121.503 * * [simplify]: Extracting #5: cost 14 inf + 409 121.503 * * [simplify]: Extracting #6: cost 9 inf + 975 121.504 * * [simplify]: Extracting #7: cost 1 inf + 2270 121.504 * * [simplify]: Extracting #8: cost 0 inf + 2513 121.505 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) (cbrt 2)) 121.505 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ 1 (sqrt (sqrt k))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt (sqrt k))) (cbrt 2))) (/ 1 (sqrt k)))) 121.505 * * * * [progress]: [ 63 / 166 ] simplifiying candidate # 121.506 * [simplify]: Simplifying (/ (- 1 (sqrt (sqrt k))) (sqrt 2)) 121.506 * * [simplify]: iters left: 6 (8 enodes) 121.510 * * [simplify]: iters left: 5 (31 enodes) 121.521 * * [simplify]: iters left: 4 (42 enodes) 121.533 * * [simplify]: iters left: 3 (46 enodes) 121.546 * * [simplify]: Extracting #0: cost 1 inf + 0 121.546 * * [simplify]: Extracting #1: cost 7 inf + 0 121.546 * * [simplify]: Extracting #2: cost 16 inf + 0 121.546 * * [simplify]: Extracting #3: cost 17 inf + 2 121.546 * * [simplify]: Extracting #4: cost 15 inf + 248 121.546 * * [simplify]: Extracting #5: cost 14 inf + 249 121.547 * * [simplify]: Extracting #6: cost 9 inf + 775 121.547 * * [simplify]: Extracting #7: cost 1 inf + 1910 121.548 * * [simplify]: Extracting #8: cost 0 inf + 2113 121.549 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) (sqrt 2)) 121.549 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ 1 (sqrt (sqrt k))) (sqrt 2))) (/ (- 1 (sqrt (sqrt k))) (sqrt 2))) (/ 1 (sqrt k)))) 121.549 * * * * [progress]: [ 64 / 166 ] simplifiying candidate # 121.550 * [simplify]: Simplifying (/ (- 1 (sqrt (sqrt k))) 2) 121.550 * * [simplify]: iters left: 6 (7 enodes) 121.554 * * [simplify]: iters left: 5 (29 enodes) 121.561 * * [simplify]: iters left: 4 (38 enodes) 121.567 * * [simplify]: Extracting #0: cost 1 inf + 0 121.567 * * [simplify]: Extracting #1: cost 6 inf + 0 121.567 * * [simplify]: Extracting #2: cost 9 inf + 2 121.567 * * [simplify]: Extracting #3: cost 11 inf + 3 121.567 * * [simplify]: Extracting #4: cost 13 inf + 3 121.567 * * [simplify]: Extracting #5: cost 12 inf + 4 121.567 * * [simplify]: Extracting #6: cost 9 inf + 167 121.567 * * [simplify]: Extracting #7: cost 0 inf + 1304 121.567 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) 2) 121.568 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ 1 (sqrt (sqrt k))) 1)) (/ (- 1 (sqrt (sqrt k))) 2)) (/ 1 (sqrt k)))) 121.568 * * * * [progress]: [ 65 / 166 ] simplifiying candidate # 121.568 * [simplify]: Simplifying (/ (- 1 (sqrt (sqrt k))) (cbrt 2)) 121.568 * * [simplify]: iters left: 6 (8 enodes) 121.570 * * [simplify]: iters left: 5 (31 enodes) 121.579 * * [simplify]: iters left: 4 (42 enodes) 121.586 * * [simplify]: iters left: 3 (46 enodes) 121.594 * * [simplify]: Extracting #0: cost 1 inf + 0 121.594 * * [simplify]: Extracting #1: cost 7 inf + 0 121.595 * * [simplify]: Extracting #2: cost 16 inf + 0 121.595 * * [simplify]: Extracting #3: cost 17 inf + 2 121.595 * * [simplify]: Extracting #4: cost 15 inf + 408 121.595 * * [simplify]: Extracting #5: cost 14 inf + 409 121.595 * * [simplify]: Extracting #6: cost 9 inf + 975 121.596 * * [simplify]: Extracting #7: cost 1 inf + 2270 121.597 * * [simplify]: Extracting #8: cost 0 inf + 2513 121.598 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) (cbrt 2)) 121.598 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ 1 (sqrt (sqrt k))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt (sqrt k))) (cbrt 2))) (/ 1 (sqrt k)))) 121.598 * * * * [progress]: [ 66 / 166 ] simplifiying candidate # 121.598 * [simplify]: Simplifying (/ (- 1 (sqrt (sqrt k))) (sqrt 2)) 121.598 * * [simplify]: iters left: 6 (8 enodes) 121.603 * * [simplify]: iters left: 5 (31 enodes) 121.613 * * [simplify]: iters left: 4 (42 enodes) 121.625 * * [simplify]: iters left: 3 (46 enodes) 121.639 * * [simplify]: Extracting #0: cost 1 inf + 0 121.639 * * [simplify]: Extracting #1: cost 7 inf + 0 121.639 * * [simplify]: Extracting #2: cost 16 inf + 0 121.639 * * [simplify]: Extracting #3: cost 17 inf + 2 121.639 * * [simplify]: Extracting #4: cost 15 inf + 248 121.639 * * [simplify]: Extracting #5: cost 14 inf + 249 121.639 * * [simplify]: Extracting #6: cost 9 inf + 775 121.640 * * [simplify]: Extracting #7: cost 1 inf + 1910 121.641 * * [simplify]: Extracting #8: cost 0 inf + 2113 121.641 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) (sqrt 2)) 121.641 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ 1 (sqrt (sqrt k))) (sqrt 2))) (/ (- 1 (sqrt (sqrt k))) (sqrt 2))) (/ 1 (sqrt k)))) 121.642 * * * * [progress]: [ 67 / 166 ] simplifiying candidate # 121.642 * [simplify]: Simplifying (/ (- 1 (sqrt (sqrt k))) 2) 121.642 * * [simplify]: iters left: 6 (7 enodes) 121.646 * * [simplify]: iters left: 5 (29 enodes) 121.651 * * [simplify]: iters left: 4 (38 enodes) 121.657 * * [simplify]: Extracting #0: cost 1 inf + 0 121.657 * * [simplify]: Extracting #1: cost 6 inf + 0 121.657 * * [simplify]: Extracting #2: cost 9 inf + 2 121.657 * * [simplify]: Extracting #3: cost 11 inf + 3 121.657 * * [simplify]: Extracting #4: cost 13 inf + 3 121.657 * * [simplify]: Extracting #5: cost 12 inf + 4 121.657 * * [simplify]: Extracting #6: cost 9 inf + 167 121.657 * * [simplify]: Extracting #7: cost 0 inf + 1304 121.657 * [simplify]: Simplified to (/ (- 1 (sqrt (sqrt k))) 2) 121.657 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (+ 1 (sqrt (sqrt k))) 1)) (/ (- 1 (sqrt (sqrt k))) 2)) (/ 1 (sqrt k)))) 121.658 * * * * [progress]: [ 68 / 166 ] simplifiying candidate # 121.658 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 121.658 * * [simplify]: iters left: 5 (8 enodes) 121.660 * * [simplify]: iters left: 4 (31 enodes) 121.666 * * [simplify]: iters left: 3 (45 enodes) 121.674 * * [simplify]: iters left: 2 (51 enodes) 121.688 * * [simplify]: iters left: 1 (52 enodes) 121.705 * * [simplify]: Extracting #0: cost 1 inf + 0 121.705 * * [simplify]: Extracting #1: cost 8 inf + 0 121.705 * * [simplify]: Extracting #2: cost 18 inf + 0 121.706 * * [simplify]: Extracting #3: cost 19 inf + 2 121.706 * * [simplify]: Extracting #4: cost 9 inf + 977 121.706 * * [simplify]: Extracting #5: cost 2 inf + 1790 121.707 * * [simplify]: Extracting #6: cost 0 inf + 2195 121.708 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 121.708 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (sqrt 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (/ 1 (sqrt k)))) 121.708 * * * * [progress]: [ 69 / 166 ] simplifiying candidate # 121.708 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 121.708 * * [simplify]: iters left: 5 (8 enodes) 121.714 * * [simplify]: iters left: 4 (31 enodes) 121.724 * * [simplify]: iters left: 3 (45 enodes) 121.731 * * [simplify]: iters left: 2 (51 enodes) 121.738 * * [simplify]: iters left: 1 (52 enodes) 121.745 * * [simplify]: Extracting #0: cost 1 inf + 0 121.745 * * [simplify]: Extracting #1: cost 8 inf + 0 121.745 * * [simplify]: Extracting #2: cost 18 inf + 0 121.746 * * [simplify]: Extracting #3: cost 19 inf + 2 121.746 * * [simplify]: Extracting #4: cost 9 inf + 697 121.746 * * [simplify]: Extracting #5: cost 2 inf + 1390 121.746 * * [simplify]: Extracting #6: cost 0 inf + 1715 121.747 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 121.747 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (sqrt 1) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (/ 1 (sqrt k)))) 121.747 * * * * [progress]: [ 70 / 166 ] simplifiying candidate # 121.747 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 121.747 * * [simplify]: iters left: 5 (7 enodes) 121.750 * * [simplify]: iters left: 4 (29 enodes) 121.755 * * [simplify]: iters left: 3 (43 enodes) 121.763 * * [simplify]: iters left: 2 (47 enodes) 121.775 * * [simplify]: Extracting #0: cost 1 inf + 0 121.775 * * [simplify]: Extracting #1: cost 7 inf + 0 121.775 * * [simplify]: Extracting #2: cost 11 inf + 2 121.775 * * [simplify]: Extracting #3: cost 13 inf + 3 121.775 * * [simplify]: Extracting #4: cost 11 inf + 45 121.776 * * [simplify]: Extracting #5: cost 0 inf + 1066 121.776 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 121.776 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (sqrt 1) 1)) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 121.776 * * * * [progress]: [ 71 / 166 ] simplifiying candidate # 121.777 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 121.777 * * [simplify]: iters left: 5 (7 enodes) 121.781 * * [simplify]: iters left: 4 (28 enodes) 121.790 * * [simplify]: iters left: 3 (39 enodes) 121.798 * * [simplify]: iters left: 2 (43 enodes) 121.804 * * [simplify]: Extracting #0: cost 1 inf + 0 121.804 * * [simplify]: Extracting #1: cost 7 inf + 0 121.804 * * [simplify]: Extracting #2: cost 16 inf + 0 121.804 * * [simplify]: Extracting #3: cost 15 inf + 164 121.804 * * [simplify]: Extracting #4: cost 13 inf + 287 121.804 * * [simplify]: Extracting #5: cost 5 inf + 1180 121.805 * * [simplify]: Extracting #6: cost 0 inf + 1951 121.805 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 121.805 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (/ 1 (sqrt k)))) 121.805 * * * * [progress]: [ 72 / 166 ] simplifiying candidate # 121.805 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 121.805 * * [simplify]: iters left: 5 (7 enodes) 121.808 * * [simplify]: iters left: 4 (28 enodes) 121.816 * * [simplify]: iters left: 3 (39 enodes) 121.823 * * [simplify]: iters left: 2 (43 enodes) 121.830 * * [simplify]: Extracting #0: cost 1 inf + 0 121.830 * * [simplify]: Extracting #1: cost 7 inf + 0 121.830 * * [simplify]: Extracting #2: cost 16 inf + 0 121.830 * * [simplify]: Extracting #3: cost 15 inf + 84 121.830 * * [simplify]: Extracting #4: cost 13 inf + 167 121.831 * * [simplify]: Extracting #5: cost 5 inf + 900 121.831 * * [simplify]: Extracting #6: cost 0 inf + 1551 121.831 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 121.831 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ 1 (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (/ 1 (sqrt k)))) 121.831 * * * * [progress]: [ 73 / 166 ] simplifiying candidate # 121.832 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 121.832 * * [simplify]: iters left: 5 (6 enodes) 121.834 * * [simplify]: iters left: 4 (26 enodes) 121.838 * * [simplify]: iters left: 3 (35 enodes) 121.843 * * [simplify]: Extracting #0: cost 1 inf + 0 121.843 * * [simplify]: Extracting #1: cost 6 inf + 0 121.844 * * [simplify]: Extracting #2: cost 9 inf + 2 121.844 * * [simplify]: Extracting #3: cost 11 inf + 3 121.844 * * [simplify]: Extracting #4: cost 10 inf + 4 121.844 * * [simplify]: Extracting #5: cost 3 inf + 535 121.844 * * [simplify]: Extracting #6: cost 0 inf + 822 121.844 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 121.844 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ 1 1)) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 121.844 * * * * [progress]: [ 74 / 166 ] simplifiying candidate # 121.844 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 121.844 * * [simplify]: iters left: 5 (6 enodes) 121.847 * * [simplify]: iters left: 4 (26 enodes) 121.852 * * [simplify]: iters left: 3 (35 enodes) 121.861 * * [simplify]: Extracting #0: cost 1 inf + 0 121.861 * * [simplify]: Extracting #1: cost 6 inf + 0 121.861 * * [simplify]: Extracting #2: cost 9 inf + 2 121.861 * * [simplify]: Extracting #3: cost 11 inf + 3 121.861 * * [simplify]: Extracting #4: cost 10 inf + 4 121.862 * * [simplify]: Extracting #5: cost 3 inf + 535 121.862 * * [simplify]: Extracting #6: cost 0 inf + 822 121.862 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 121.862 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) 1) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 121.863 * * * * [progress]: [ 75 / 166 ] simplifiying candidate # 121.863 * [simplify]: Simplifying (/ 1 2) 121.863 * * [simplify]: iters left: 2 (3 enodes) 121.866 * * [simplify]: iters left: 1 (12 enodes) 121.870 * * [simplify]: Extracting #0: cost 1 inf + 0 121.870 * * [simplify]: Extracting #1: cost 0 inf + 1 121.870 * [simplify]: Simplified to 1/2 121.870 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (- 1 (sqrt k))) 1/2) (/ 1 (sqrt k)))) 121.870 * * * * [progress]: [ 76 / 166 ] simplifiying candidate # 121.871 * [simplify]: Simplifying (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) 121.871 * * [simplify]: iters left: 6 (11 enodes) 121.877 * * [simplify]: iters left: 5 (46 enodes) 121.886 * * [simplify]: iters left: 4 (80 enodes) 121.899 * * [simplify]: iters left: 3 (135 enodes) 121.941 * * [simplify]: iters left: 2 (262 enodes) 122.018 * * [simplify]: Extracting #0: cost 1 inf + 0 122.018 * * [simplify]: Extracting #1: cost 14 inf + 0 122.019 * * [simplify]: Extracting #2: cost 66 inf + 1 122.019 * * [simplify]: Extracting #3: cost 127 inf + 6 122.019 * * [simplify]: Extracting #4: cost 147 inf + 11 122.023 * * [simplify]: Extracting #5: cost 134 inf + 1777 122.025 * * [simplify]: Extracting #6: cost 61 inf + 18363 122.030 * * [simplify]: Extracting #7: cost 19 inf + 39858 122.040 * * [simplify]: Extracting #8: cost 1 inf + 55694 122.054 * * [simplify]: Extracting #9: cost 0 inf + 56467 122.067 * [simplify]: Simplified to (pow (pow n (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) 122.067 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (pow (pow n (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (/ 1 (sqrt k)))) 122.068 * * * * [progress]: [ 77 / 166 ] simplifiying candidate # 122.068 * [simplify]: Simplifying (pow (* (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)))) (/ (- 1 (sqrt k)) 2)) 122.068 * * [simplify]: iters left: 6 (16 enodes) 122.076 * * [simplify]: iters left: 5 (65 enodes) 122.086 * * [simplify]: iters left: 4 (103 enodes) 122.104 * * [simplify]: iters left: 3 (168 enodes) 122.166 * * [simplify]: iters left: 2 (313 enodes) 122.258 * * [simplify]: Extracting #0: cost 1 inf + 0 122.258 * * [simplify]: Extracting #1: cost 13 inf + 0 122.258 * * [simplify]: Extracting #2: cost 57 inf + 1 122.258 * * [simplify]: Extracting #3: cost 91 inf + 6 122.259 * * [simplify]: Extracting #4: cost 108 inf + 10 122.260 * * [simplify]: Extracting #5: cost 145 inf + 52 122.262 * * [simplify]: Extracting #6: cost 119 inf + 5883 122.269 * * [simplify]: Extracting #7: cost 52 inf + 24618 122.285 * * [simplify]: Extracting #8: cost 11 inf + 59981 122.295 * * [simplify]: Extracting #9: cost 0 inf + 68869 122.307 * [simplify]: Simplified to (pow (* (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k))))) (/ (- 1 (sqrt k)) 2)) 122.307 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (pow (* (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (cbrt (pow (* (* PI 2) n) (+ 1 (sqrt k))))) (/ (- 1 (sqrt k)) 2)) (pow (cbrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) (/ 1 (sqrt k)))) 122.307 * * * * [progress]: [ 78 / 166 ] simplifiying candidate # 122.307 * [simplify]: Simplifying (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2)) 122.307 * * [simplify]: iters left: 6 (15 enodes) 122.311 * * [simplify]: iters left: 5 (62 enodes) 122.323 * * [simplify]: iters left: 4 (101 enodes) 122.343 * * [simplify]: iters left: 3 (167 enodes) 122.382 * * [simplify]: iters left: 2 (315 enodes) 122.465 * * [simplify]: Extracting #0: cost 1 inf + 0 122.465 * * [simplify]: Extracting #1: cost 14 inf + 0 122.466 * * [simplify]: Extracting #2: cost 59 inf + 1 122.466 * * [simplify]: Extracting #3: cost 106 inf + 6 122.466 * * [simplify]: Extracting #4: cost 152 inf + 10 122.467 * * [simplify]: Extracting #5: cost 159 inf + 262 122.469 * * [simplify]: Extracting #6: cost 82 inf + 19132 122.477 * * [simplify]: Extracting #7: cost 9 inf + 56261 122.494 * * [simplify]: Extracting #8: cost 0 inf + 63185 122.504 * * [simplify]: Extracting #9: cost 0 inf + 62662 122.514 * * [simplify]: Extracting #10: cost 0 inf + 62532 122.525 * [simplify]: Simplified to (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) 122.525 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (pow (sqrt (pow (* (* PI 2) n) (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (pow (sqrt (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))) (/ (- 1 (sqrt k)) 2))) (/ 1 (sqrt k)))) 122.525 * * * * [progress]: [ 79 / 166 ] simplifiying candidate # 122.526 * [simplify]: Simplifying (pow 1 (/ (- 1 (sqrt k)) 2)) 122.526 * * [simplify]: iters left: 6 (7 enodes) 122.530 * * [simplify]: iters left: 5 (27 enodes) 122.539 * * [simplify]: iters left: 4 (36 enodes) 122.549 * * [simplify]: Extracting #0: cost 1 inf + 0 122.549 * * [simplify]: Extracting #1: cost 0 inf + 1 122.549 * [simplify]: Simplified to 1 122.549 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (/ 1 (sqrt k)))) 122.549 * * * * [progress]: [ 80 / 166 ] simplifiying candidate # 122.550 * [simplify]: Simplifying (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2)) 122.550 * * [simplify]: iters left: 6 (15 enodes) 122.563 * * [simplify]: iters left: 5 (64 enodes) 122.575 * * [simplify]: iters left: 4 (107 enodes) 122.591 * * [simplify]: iters left: 3 (172 enodes) 122.624 * * [simplify]: iters left: 2 (308 enodes) 122.701 * * [simplify]: Extracting #0: cost 1 inf + 0 122.701 * * [simplify]: Extracting #1: cost 13 inf + 0 122.701 * * [simplify]: Extracting #2: cost 65 inf + 1 122.702 * * [simplify]: Extracting #3: cost 139 inf + 5 122.702 * * [simplify]: Extracting #4: cost 162 inf + 179 122.703 * * [simplify]: Extracting #5: cost 158 inf + 472 122.704 * * [simplify]: Extracting #6: cost 102 inf + 8559 122.709 * * [simplify]: Extracting #7: cost 44 inf + 34459 122.718 * * [simplify]: Extracting #8: cost 1 inf + 72965 122.731 * * [simplify]: Extracting #9: cost 0 inf + 71959 122.748 * * [simplify]: Extracting #10: cost 0 inf + 71828 122.768 * [simplify]: Simplified to (pow (pow (* (* PI 2) n) (* 1/2 (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) 122.769 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (pow (pow (* (* PI 2) n) (* 1/2 (+ 1 (sqrt k)))) (/ (- 1 (sqrt k)) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 2)) (/ (- 1 (sqrt k)) 2))) (/ 1 (sqrt k)))) 122.769 * * * * [progress]: [ 81 / 166 ] simplifiying candidate # 122.769 * * * * [progress]: [ 82 / 166 ] simplifiying candidate # 122.769 * * * * [progress]: [ 83 / 166 ] simplifiying candidate # 122.769 * * * * [progress]: [ 84 / 166 ] simplifiying candidate # 122.769 * * * * [progress]: [ 85 / 166 ] simplifiying candidate # 122.769 * * * * [progress]: [ 86 / 166 ] simplifiying candidate # 122.769 * * * * [progress]: [ 87 / 166 ] simplifiying candidate # 122.769 * * * * [progress]: [ 88 / 166 ] simplifiying candidate # 122.769 * * * * [progress]: [ 89 / 166 ] simplifiying candidate #real (real->posit16 (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) (/ 1 (sqrt k))))> 122.770 * * * * [progress]: [ 90 / 166 ] simplifiying candidate # 122.770 * [simplify]: Simplifying (* n (* 2 PI)) 122.770 * * [simplify]: iters left: 4 (5 enodes) 122.773 * * [simplify]: iters left: 3 (19 enodes) 122.779 * * [simplify]: iters left: 2 (27 enodes) 122.786 * * [simplify]: iters left: 1 (32 enodes) 122.794 * * [simplify]: Extracting #0: cost 1 inf + 0 122.794 * * [simplify]: Extracting #1: cost 8 inf + 0 122.795 * * [simplify]: Extracting #2: cost 7 inf + 45 122.795 * * [simplify]: Extracting #3: cost 0 inf + 421 122.795 * [simplify]: Simplified to (* (* PI 2) n) 122.795 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (pow (pow (pow (* (* PI 2) n) 1) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 122.795 * * * * [progress]: [ 91 / 166 ] simplifiying candidate # 122.796 * [simplify]: Simplifying (* n (* 2 PI)) 122.796 * * [simplify]: iters left: 4 (5 enodes) 122.799 * * [simplify]: iters left: 3 (19 enodes) 122.804 * * [simplify]: iters left: 2 (27 enodes) 122.812 * * [simplify]: iters left: 1 (32 enodes) 122.820 * * [simplify]: Extracting #0: cost 1 inf + 0 122.820 * * [simplify]: Extracting #1: cost 8 inf + 0 122.820 * * [simplify]: Extracting #2: cost 7 inf + 45 122.821 * * [simplify]: Extracting #3: cost 0 inf + 421 122.821 * [simplify]: Simplified to (* (* PI 2) n) 122.821 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (pow (pow (pow (* (* PI 2) n) 1) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 122.821 * * * * [progress]: [ 92 / 166 ] simplifiying candidate # 122.821 * * * * [progress]: [ 93 / 166 ] simplifiying candidate # 122.821 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI))) 122.822 * * [simplify]: iters left: 5 (8 enodes) 122.826 * * [simplify]: iters left: 4 (28 enodes) 122.834 * * [simplify]: iters left: 3 (36 enodes) 122.845 * * [simplify]: iters left: 2 (42 enodes) 122.856 * * [simplify]: Extracting #0: cost 1 inf + 0 122.856 * * [simplify]: Extracting #1: cost 8 inf + 0 122.856 * * [simplify]: Extracting #2: cost 17 inf + 0 122.856 * * [simplify]: Extracting #3: cost 12 inf + 145 122.856 * * [simplify]: Extracting #4: cost 5 inf + 1197 122.857 * * [simplify]: Extracting #5: cost 1 inf + 1925 122.858 * * [simplify]: Extracting #6: cost 0 inf + 2107 122.858 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI))) 122.858 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (pow (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 122.859 * * * * [progress]: [ 94 / 166 ] simplifiying candidate # 122.859 * [simplify]: Simplifying (+ (log n) (log (* 2 PI))) 122.859 * * [simplify]: iters left: 5 (7 enodes) 122.863 * * [simplify]: iters left: 4 (26 enodes) 122.871 * * [simplify]: iters left: 3 (35 enodes) 122.884 * * [simplify]: iters left: 2 (44 enodes) 122.896 * * [simplify]: Extracting #0: cost 1 inf + 0 122.896 * * [simplify]: Extracting #1: cost 8 inf + 0 122.896 * * [simplify]: Extracting #2: cost 18 inf + 0 122.896 * * [simplify]: Extracting #3: cost 15 inf + 74 122.896 * * [simplify]: Extracting #4: cost 8 inf + 554 122.897 * * [simplify]: Extracting #5: cost 0 inf + 1911 122.898 * [simplify]: Simplified to (+ (log n) (log (* 2 PI))) 122.898 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (pow (pow (exp (+ (log n) (log (* 2 PI)))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 122.898 * * * * [progress]: [ 95 / 166 ] simplifiying candidate # 122.898 * * * * [progress]: [ 96 / 166 ] simplifiying candidate # 122.898 * * * * [progress]: [ 97 / 166 ] simplifiying candidate # 122.898 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI))) 122.899 * * [simplify]: iters left: 6 (11 enodes) 122.907 * * [simplify]: iters left: 5 (48 enodes) 122.925 * * [simplify]: iters left: 4 (121 enodes) 122.972 * * [simplify]: iters left: 3 (348 enodes) 123.149 * * [simplify]: Extracting #0: cost 1 inf + 0 123.149 * * [simplify]: Extracting #1: cost 67 inf + 0 123.151 * * [simplify]: Extracting #2: cost 165 inf + 786 123.156 * * [simplify]: Extracting #3: cost 85 inf + 10177 123.168 * * [simplify]: Extracting #4: cost 9 inf + 26399 123.181 * * [simplify]: Extracting #5: cost 0 inf + 28546 123.194 * * [simplify]: Extracting #6: cost 0 inf + 28506 123.206 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI)) 123.207 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (pow (pow (cbrt (* (* (* (* n PI) (* n PI)) 8) (* n PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 123.207 * * * * [progress]: [ 98 / 166 ] simplifiying candidate # 123.207 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI))) 123.207 * * [simplify]: iters left: 6 (9 enodes) 123.214 * * [simplify]: iters left: 5 (45 enodes) 123.230 * * [simplify]: iters left: 4 (117 enodes) 123.272 * * [simplify]: iters left: 3 (374 enodes) 123.529 * * [simplify]: Extracting #0: cost 1 inf + 0 123.530 * * [simplify]: Extracting #1: cost 77 inf + 0 123.531 * * [simplify]: Extracting #2: cost 184 inf + 984 123.534 * * [simplify]: Extracting #3: cost 106 inf + 11690 123.542 * * [simplify]: Extracting #4: cost 6 inf + 30376 123.558 * * [simplify]: Extracting #5: cost 0 inf + 31644 123.575 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n)) 123.575 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (pow (pow (cbrt (* (* (* (* PI n) (* PI n)) 8) (* PI n))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 123.575 * * * * [progress]: [ 99 / 166 ] simplifiying candidate # 123.575 * * * * [progress]: [ 100 / 166 ] simplifiying candidate # 123.575 * * * * [progress]: [ 101 / 166 ] simplifiying candidate # 123.575 * * * * [progress]: [ 102 / 166 ] simplifiying candidate # 123.575 * * * * [progress]: [ 103 / 166 ] simplifiying candidate # 123.575 * * * * [progress]: [ 104 / 166 ] simplifiying candidate # 123.576 * [simplify]: Simplifying (* (cbrt n) (cbrt n)) 123.576 * * [simplify]: iters left: 3 (3 enodes) 123.576 * * [simplify]: iters left: 2 (9 enodes) 123.577 * * [simplify]: Extracting #0: cost 1 inf + 0 123.578 * * [simplify]: Extracting #1: cost 3 inf + 0 123.578 * * [simplify]: Extracting #2: cost 5 inf + 0 123.578 * * [simplify]: Extracting #3: cost 4 inf + 1 123.578 * * [simplify]: Extracting #4: cost 0 inf + 405 123.578 * [simplify]: Simplified to (* (cbrt n) (cbrt n)) 123.578 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (pow (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 123.578 * * * * [progress]: [ 105 / 166 ] simplifiying candidate # 123.578 * [simplify]: Simplifying (sqrt n) 123.578 * * [simplify]: iters left: 1 (2 enodes) 123.578 * * [simplify]: Extracting #0: cost 1 inf + 0 123.578 * * [simplify]: Extracting #1: cost 3 inf + 0 123.579 * * [simplify]: Extracting #2: cost 2 inf + 1 123.579 * * [simplify]: Extracting #3: cost 0 inf + 83 123.579 * [simplify]: Simplified to (sqrt n) 123.579 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (pow (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 123.579 * * * * [progress]: [ 106 / 166 ] simplifiying candidate # 123.579 * * * * [progress]: [ 107 / 166 ] simplifiying candidate #real (real->posit16 (* n (* 2 PI)))) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k))))> 123.579 * * * * [progress]: [ 108 / 166 ] simplifiying candidate # 123.579 * * * * [progress]: [ 109 / 166 ] simplifiying candidate # 123.579 * * * * [progress]: [ 110 / 166 ] simplifiying candidate # 123.579 * [simplify]: Simplifying (- 1/2) 123.579 * * [simplify]: iters left: 2 (2 enodes) 123.580 * * [simplify]: iters left: 1 (7 enodes) 123.582 * * [simplify]: Extracting #0: cost 1 inf + 0 123.582 * * [simplify]: Extracting #1: cost 0 inf + 1 123.582 * [simplify]: Simplified to -1/2 123.582 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (pow k -1/2))) 123.582 * * * * [progress]: [ 111 / 166 ] simplifiying candidate # 123.582 * [simplify]: Simplifying (- 1) 123.582 * * [simplify]: iters left: 2 (2 enodes) 123.583 * * [simplify]: iters left: 1 (9 enodes) 123.589 * * [simplify]: Extracting #0: cost 1 inf + 0 123.589 * * [simplify]: Extracting #1: cost 0 inf + 1 123.589 * [simplify]: Simplified to -1 123.589 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (pow (sqrt k) -1))) 123.589 * * * * [progress]: [ 112 / 166 ] simplifiying candidate # 123.589 * [simplify]: Simplifying (- (/ 1 2)) 123.589 * * [simplify]: iters left: 4 (4 enodes) 123.592 * * [simplify]: iters left: 3 (19 enodes) 123.595 * * [simplify]: iters left: 2 (23 enodes) 123.599 * * [simplify]: Extracting #0: cost 1 inf + 0 123.599 * * [simplify]: Extracting #1: cost 0 inf + 1 123.599 * [simplify]: Simplified to -1/2 123.599 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (pow k -1/2))) 123.599 * * * * [progress]: [ 113 / 166 ] simplifiying candidate # 123.599 * * * * [progress]: [ 114 / 166 ] simplifiying candidate # 123.599 * * * * [progress]: [ 115 / 166 ] simplifiying candidate # 123.599 * [simplify]: Simplifying (- 0 (log (sqrt k))) 123.599 * * [simplify]: iters left: 4 (5 enodes) 123.601 * * [simplify]: iters left: 3 (17 enodes) 123.603 * * [simplify]: iters left: 2 (21 enodes) 123.606 * * [simplify]: iters left: 1 (23 enodes) 123.609 * * [simplify]: Extracting #0: cost 1 inf + 0 123.609 * * [simplify]: Extracting #1: cost 4 inf + 0 123.609 * * [simplify]: Extracting #2: cost 5 inf + 1 123.609 * * [simplify]: Extracting #3: cost 7 inf + 1 123.609 * * [simplify]: Extracting #4: cost 0 inf + 608 123.609 * [simplify]: Simplified to (- (log (sqrt k))) 123.609 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (exp (- (log (sqrt k)))))) 123.610 * * * * [progress]: [ 116 / 166 ] simplifiying candidate # 123.610 * [simplify]: Simplifying (- (log 1) (log (sqrt k))) 123.610 * * [simplify]: iters left: 4 (6 enodes) 123.612 * * [simplify]: iters left: 3 (22 enodes) 123.615 * * [simplify]: Extracting #0: cost 1 inf + 0 123.615 * * [simplify]: Extracting #1: cost 4 inf + 0 123.615 * * [simplify]: Extracting #2: cost 5 inf + 1 123.615 * * [simplify]: Extracting #3: cost 7 inf + 1 123.615 * * [simplify]: Extracting #4: cost 6 inf + 2 123.615 * * [simplify]: Extracting #5: cost 1 inf + 457 123.615 * * [simplify]: Extracting #6: cost 0 inf + 608 123.615 * [simplify]: Simplified to (- (log (sqrt k))) 123.615 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (exp (- (log (sqrt k)))))) 123.615 * * * * [progress]: [ 117 / 166 ] simplifiying candidate # 123.615 * * * * [progress]: [ 118 / 166 ] simplifiying candidate # 123.615 * * * * [progress]: [ 119 / 166 ] simplifiying candidate # 123.616 * [simplify]: Simplifying (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))) 123.616 * * [simplify]: iters left: 6 (8 enodes) 123.618 * * [simplify]: iters left: 5 (26 enodes) 123.622 * * [simplify]: iters left: 4 (43 enodes) 123.630 * * [simplify]: iters left: 3 (59 enodes) 123.646 * * [simplify]: iters left: 2 (67 enodes) 123.662 * * [simplify]: iters left: 1 (69 enodes) 123.678 * * [simplify]: Extracting #0: cost 1 inf + 0 123.678 * * [simplify]: Extracting #1: cost 14 inf + 0 123.678 * * [simplify]: Extracting #2: cost 18 inf + 2 123.679 * * [simplify]: Extracting #3: cost 7 inf + 701 123.679 * * [simplify]: Extracting #4: cost 0 inf + 1234 123.680 * [simplify]: Simplified to (/ (/ 1 k) (sqrt k)) 123.680 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (cbrt (/ (/ 1 k) (sqrt k))))) 123.680 * * * * [progress]: [ 120 / 166 ] simplifiying candidate # 123.680 * * * * [progress]: [ 121 / 166 ] simplifiying candidate # 123.680 * * * * [progress]: [ 122 / 166 ] simplifiying candidate # 123.680 * * * * [progress]: [ 123 / 166 ] simplifiying candidate # 123.680 * * * * [progress]: [ 124 / 166 ] simplifiying candidate # 123.681 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 123.681 * * [simplify]: iters left: 6 (8 enodes) 123.685 * * [simplify]: iters left: 5 (32 enodes) 123.697 * * [simplify]: iters left: 4 (48 enodes) 123.717 * * [simplify]: iters left: 3 (76 enodes) 123.739 * * [simplify]: iters left: 2 (81 enodes) 123.751 * * [simplify]: Extracting #0: cost 1 inf + 0 123.751 * * [simplify]: Extracting #1: cost 6 inf + 0 123.752 * * [simplify]: Extracting #2: cost 9 inf + 1 123.752 * * [simplify]: Extracting #3: cost 11 inf + 1 123.752 * * [simplify]: Extracting #4: cost 2 inf + 1052 123.752 * * [simplify]: Extracting #5: cost 0 inf + 1376 123.753 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 123.753 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1) (cbrt (sqrt k)))))) 123.753 * [simplify]: Simplifying (/ (cbrt 1) (cbrt (sqrt k))) 123.754 * * [simplify]: iters left: 4 (6 enodes) 123.757 * * [simplify]: iters left: 3 (20 enodes) 123.763 * * [simplify]: iters left: 2 (22 enodes) 123.769 * * [simplify]: Extracting #0: cost 1 inf + 0 123.769 * * [simplify]: Extracting #1: cost 4 inf + 0 123.769 * * [simplify]: Extracting #2: cost 5 inf + 1 123.769 * * [simplify]: Extracting #3: cost 7 inf + 1 123.770 * * [simplify]: Extracting #4: cost 1 inf + 488 123.770 * * [simplify]: Extracting #5: cost 0 inf + 650 123.770 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 123.770 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))))) 123.770 * * * * [progress]: [ 125 / 166 ] simplifiying candidate # 123.771 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) 123.771 * * [simplify]: iters left: 6 (8 enodes) 123.776 * * [simplify]: iters left: 5 (29 enodes) 123.786 * * [simplify]: iters left: 4 (31 enodes) 123.794 * * [simplify]: Extracting #0: cost 1 inf + 0 123.794 * * [simplify]: Extracting #1: cost 4 inf + 0 123.794 * * [simplify]: Extracting #2: cost 6 inf + 1 123.794 * * [simplify]: Extracting #3: cost 9 inf + 1 123.794 * * [simplify]: Extracting #4: cost 8 inf + 2 123.794 * * [simplify]: Extracting #5: cost 2 inf + 729 123.795 * * [simplify]: Extracting #6: cost 0 inf + 972 123.795 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 123.795 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* (/ 1 (fabs (cbrt k))) (/ (cbrt 1) (sqrt (cbrt k)))))) 123.795 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (cbrt k))) 123.795 * * [simplify]: iters left: 4 (6 enodes) 123.799 * * [simplify]: iters left: 3 (20 enodes) 123.805 * * [simplify]: iters left: 2 (22 enodes) 123.811 * * [simplify]: Extracting #0: cost 1 inf + 0 123.811 * * [simplify]: Extracting #1: cost 4 inf + 0 123.811 * * [simplify]: Extracting #2: cost 5 inf + 1 123.811 * * [simplify]: Extracting #3: cost 7 inf + 1 123.811 * * [simplify]: Extracting #4: cost 1 inf + 568 123.812 * * [simplify]: Extracting #5: cost 0 inf + 730 123.812 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 123.812 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))))) 123.812 * * * * [progress]: [ 126 / 166 ] simplifiying candidate # 123.812 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 123.813 * * [simplify]: iters left: 5 (7 enodes) 123.817 * * [simplify]: iters left: 4 (25 enodes) 123.826 * * [simplify]: iters left: 3 (27 enodes) 123.832 * * [simplify]: Extracting #0: cost 1 inf + 0 123.832 * * [simplify]: Extracting #1: cost 4 inf + 0 123.832 * * [simplify]: Extracting #2: cost 5 inf + 1 123.833 * * [simplify]: Extracting #3: cost 7 inf + 1 123.833 * * [simplify]: Extracting #4: cost 6 inf + 2 123.833 * * [simplify]: Extracting #5: cost 2 inf + 368 123.833 * * [simplify]: Extracting #6: cost 0 inf + 490 123.833 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 123.833 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k)))))) 123.834 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt k))) 123.834 * * [simplify]: iters left: 4 (6 enodes) 123.837 * * [simplify]: iters left: 3 (20 enodes) 123.843 * * [simplify]: iters left: 2 (22 enodes) 123.849 * * [simplify]: Extracting #0: cost 1 inf + 0 123.849 * * [simplify]: Extracting #1: cost 4 inf + 0 123.849 * * [simplify]: Extracting #2: cost 5 inf + 1 123.850 * * [simplify]: Extracting #3: cost 7 inf + 1 123.850 * * [simplify]: Extracting #4: cost 1 inf + 368 123.850 * * [simplify]: Extracting #5: cost 0 inf + 490 123.850 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 123.850 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 123.850 * * * * [progress]: [ 127 / 166 ] simplifiying candidate # 123.851 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) 123.851 * * [simplify]: iters left: 5 (5 enodes) 123.863 * * [simplify]: iters left: 4 (19 enodes) 123.868 * * [simplify]: iters left: 3 (21 enodes) 123.872 * * [simplify]: Extracting #0: cost 1 inf + 0 123.872 * * [simplify]: Extracting #1: cost 0 inf + 1 123.872 * [simplify]: Simplified to 1 123.872 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* 1 (/ (cbrt 1) (sqrt k))))) 123.873 * [simplify]: Simplifying (/ (cbrt 1) (sqrt k)) 123.873 * * [simplify]: iters left: 3 (5 enodes) 123.877 * * [simplify]: iters left: 2 (17 enodes) 123.882 * * [simplify]: iters left: 1 (19 enodes) 123.886 * * [simplify]: Extracting #0: cost 1 inf + 0 123.887 * * [simplify]: Extracting #1: cost 4 inf + 0 123.887 * * [simplify]: Extracting #2: cost 5 inf + 1 123.887 * * [simplify]: Extracting #3: cost 0 inf + 248 123.887 * [simplify]: Simplified to (/ 1 (sqrt k)) 123.887 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* 1 (/ 1 (sqrt k))))) 123.887 * * * * [progress]: [ 128 / 166 ] simplifiying candidate # 123.887 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 123.887 * * [simplify]: iters left: 5 (7 enodes) 123.890 * * [simplify]: iters left: 4 (25 enodes) 123.894 * * [simplify]: iters left: 3 (27 enodes) 123.898 * * [simplify]: Extracting #0: cost 1 inf + 0 123.898 * * [simplify]: Extracting #1: cost 4 inf + 0 123.898 * * [simplify]: Extracting #2: cost 5 inf + 1 123.898 * * [simplify]: Extracting #3: cost 7 inf + 1 123.898 * * [simplify]: Extracting #4: cost 6 inf + 2 123.898 * * [simplify]: Extracting #5: cost 2 inf + 368 123.898 * * [simplify]: Extracting #6: cost 0 inf + 490 123.898 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 123.898 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k)))))) 123.898 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt k))) 123.898 * * [simplify]: iters left: 4 (6 enodes) 123.900 * * [simplify]: iters left: 3 (20 enodes) 123.903 * * [simplify]: iters left: 2 (22 enodes) 123.907 * * [simplify]: Extracting #0: cost 1 inf + 0 123.907 * * [simplify]: Extracting #1: cost 4 inf + 0 123.907 * * [simplify]: Extracting #2: cost 5 inf + 1 123.907 * * [simplify]: Extracting #3: cost 7 inf + 1 123.907 * * [simplify]: Extracting #4: cost 1 inf + 368 123.907 * * [simplify]: Extracting #5: cost 0 inf + 490 123.907 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 123.907 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 123.907 * * * * [progress]: [ 129 / 166 ] simplifiying candidate # 123.908 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) 1) 123.908 * * [simplify]: iters left: 5 (4 enodes) 123.912 * * [simplify]: iters left: 4 (14 enodes) 123.914 * * [simplify]: iters left: 3 (16 enodes) 123.916 * * [simplify]: Extracting #0: cost 1 inf + 0 123.916 * * [simplify]: Extracting #1: cost 0 inf + 1 123.916 * [simplify]: Simplified to 1 123.916 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* 1 (/ (cbrt 1) (sqrt k))))) 123.916 * [simplify]: Simplifying (/ (cbrt 1) (sqrt k)) 123.916 * * [simplify]: iters left: 3 (5 enodes) 123.919 * * [simplify]: iters left: 2 (17 enodes) 123.921 * * [simplify]: iters left: 1 (19 enodes) 123.926 * * [simplify]: Extracting #0: cost 1 inf + 0 123.926 * * [simplify]: Extracting #1: cost 4 inf + 0 123.926 * * [simplify]: Extracting #2: cost 5 inf + 1 123.926 * * [simplify]: Extracting #3: cost 0 inf + 248 123.926 * [simplify]: Simplified to (/ 1 (sqrt k)) 123.926 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* 1 (/ 1 (sqrt k))))) 123.926 * * * * [progress]: [ 130 / 166 ] simplifiying candidate # 123.926 * [simplify]: Simplifying (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 123.927 * * [simplify]: iters left: 6 (7 enodes) 123.931 * * [simplify]: iters left: 5 (25 enodes) 123.938 * * [simplify]: iters left: 4 (32 enodes) 123.946 * * [simplify]: iters left: 3 (34 enodes) 123.955 * * [simplify]: Extracting #0: cost 1 inf + 0 123.955 * * [simplify]: Extracting #1: cost 7 inf + 0 123.955 * * [simplify]: Extracting #2: cost 11 inf + 1 123.955 * * [simplify]: Extracting #3: cost 13 inf + 1 123.955 * * [simplify]: Extracting #4: cost 10 inf + 84 123.955 * * [simplify]: Extracting #5: cost 4 inf + 1014 123.956 * * [simplify]: Extracting #6: cost 1 inf + 1498 123.956 * * [simplify]: Extracting #7: cost 0 inf + 1700 123.956 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 123.957 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (sqrt 1) (cbrt (sqrt k)))))) 123.957 * [simplify]: Simplifying (/ (sqrt 1) (cbrt (sqrt k))) 123.957 * * [simplify]: iters left: 4 (6 enodes) 123.961 * * [simplify]: iters left: 3 (20 enodes) 123.966 * * [simplify]: iters left: 2 (22 enodes) 123.972 * * [simplify]: Extracting #0: cost 1 inf + 0 123.973 * * [simplify]: Extracting #1: cost 4 inf + 0 123.973 * * [simplify]: Extracting #2: cost 5 inf + 1 123.973 * * [simplify]: Extracting #3: cost 7 inf + 1 123.973 * * [simplify]: Extracting #4: cost 1 inf + 488 123.973 * * [simplify]: Extracting #5: cost 0 inf + 650 123.973 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 123.973 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))))) 123.973 * * * * [progress]: [ 131 / 166 ] simplifiying candidate # 123.974 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) 123.974 * * [simplify]: iters left: 6 (7 enodes) 123.978 * * [simplify]: iters left: 5 (24 enodes) 123.987 * * [simplify]: iters left: 4 (26 enodes) 123.994 * * [simplify]: Extracting #0: cost 1 inf + 0 123.994 * * [simplify]: Extracting #1: cost 4 inf + 0 123.995 * * [simplify]: Extracting #2: cost 6 inf + 1 123.995 * * [simplify]: Extracting #3: cost 9 inf + 1 123.995 * * [simplify]: Extracting #4: cost 8 inf + 2 123.995 * * [simplify]: Extracting #5: cost 2 inf + 730 123.995 * * [simplify]: Extracting #6: cost 0 inf + 972 123.995 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 123.995 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* (/ 1 (fabs (cbrt k))) (/ (sqrt 1) (sqrt (cbrt k)))))) 123.996 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (cbrt k))) 123.996 * * [simplify]: iters left: 4 (6 enodes) 123.999 * * [simplify]: iters left: 3 (20 enodes) 124.005 * * [simplify]: iters left: 2 (22 enodes) 124.012 * * [simplify]: Extracting #0: cost 1 inf + 0 124.012 * * [simplify]: Extracting #1: cost 4 inf + 0 124.012 * * [simplify]: Extracting #2: cost 5 inf + 1 124.012 * * [simplify]: Extracting #3: cost 7 inf + 1 124.012 * * [simplify]: Extracting #4: cost 1 inf + 568 124.012 * * [simplify]: Extracting #5: cost 0 inf + 730 124.013 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 124.013 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))))) 124.013 * * * * [progress]: [ 132 / 166 ] simplifiying candidate # 124.013 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 124.013 * * [simplify]: iters left: 4 (6 enodes) 124.017 * * [simplify]: iters left: 3 (20 enodes) 124.020 * * [simplify]: iters left: 2 (22 enodes) 124.024 * * [simplify]: Extracting #0: cost 1 inf + 0 124.024 * * [simplify]: Extracting #1: cost 4 inf + 0 124.024 * * [simplify]: Extracting #2: cost 5 inf + 1 124.024 * * [simplify]: Extracting #3: cost 7 inf + 1 124.024 * * [simplify]: Extracting #4: cost 1 inf + 368 124.024 * * [simplify]: Extracting #5: cost 0 inf + 490 124.024 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 124.024 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k)))))) 124.024 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 124.024 * * [simplify]: iters left: 4 (6 enodes) 124.026 * * [simplify]: iters left: 3 (20 enodes) 124.029 * * [simplify]: iters left: 2 (22 enodes) 124.032 * * [simplify]: Extracting #0: cost 1 inf + 0 124.032 * * [simplify]: Extracting #1: cost 4 inf + 0 124.032 * * [simplify]: Extracting #2: cost 5 inf + 1 124.032 * * [simplify]: Extracting #3: cost 7 inf + 1 124.033 * * [simplify]: Extracting #4: cost 1 inf + 368 124.033 * * [simplify]: Extracting #5: cost 0 inf + 490 124.033 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 124.033 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 124.033 * * * * [progress]: [ 133 / 166 ] simplifiying candidate # 124.033 * [simplify]: Simplifying (/ (sqrt 1) (sqrt 1)) 124.033 * * [simplify]: iters left: 3 (3 enodes) 124.035 * * [simplify]: iters left: 2 (9 enodes) 124.036 * * [simplify]: iters left: 1 (11 enodes) 124.038 * * [simplify]: Extracting #0: cost 1 inf + 0 124.038 * * [simplify]: Extracting #1: cost 0 inf + 1 124.038 * [simplify]: Simplified to 1 124.038 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* 1 (/ (sqrt 1) (sqrt k))))) 124.038 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k)) 124.039 * * [simplify]: iters left: 3 (5 enodes) 124.041 * * [simplify]: iters left: 2 (17 enodes) 124.044 * * [simplify]: iters left: 1 (19 enodes) 124.047 * * [simplify]: Extracting #0: cost 1 inf + 0 124.047 * * [simplify]: Extracting #1: cost 4 inf + 0 124.047 * * [simplify]: Extracting #2: cost 5 inf + 1 124.047 * * [simplify]: Extracting #3: cost 0 inf + 248 124.047 * [simplify]: Simplified to (/ 1 (sqrt k)) 124.047 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* 1 (/ 1 (sqrt k))))) 124.047 * * * * [progress]: [ 134 / 166 ] simplifiying candidate # 124.048 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 124.048 * * [simplify]: iters left: 4 (6 enodes) 124.051 * * [simplify]: iters left: 3 (20 enodes) 124.057 * * [simplify]: iters left: 2 (22 enodes) 124.063 * * [simplify]: Extracting #0: cost 1 inf + 0 124.063 * * [simplify]: Extracting #1: cost 4 inf + 0 124.063 * * [simplify]: Extracting #2: cost 5 inf + 1 124.063 * * [simplify]: Extracting #3: cost 7 inf + 1 124.063 * * [simplify]: Extracting #4: cost 1 inf + 368 124.064 * * [simplify]: Extracting #5: cost 0 inf + 490 124.064 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 124.064 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k)))))) 124.064 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 124.065 * * [simplify]: iters left: 4 (6 enodes) 124.068 * * [simplify]: iters left: 3 (20 enodes) 124.074 * * [simplify]: iters left: 2 (22 enodes) 124.080 * * [simplify]: Extracting #0: cost 1 inf + 0 124.080 * * [simplify]: Extracting #1: cost 4 inf + 0 124.080 * * [simplify]: Extracting #2: cost 5 inf + 1 124.080 * * [simplify]: Extracting #3: cost 7 inf + 1 124.080 * * [simplify]: Extracting #4: cost 1 inf + 368 124.080 * * [simplify]: Extracting #5: cost 0 inf + 490 124.081 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 124.081 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 124.081 * * * * [progress]: [ 135 / 166 ] simplifiying candidate # 124.081 * [simplify]: Simplifying (/ (sqrt 1) 1) 124.081 * * [simplify]: iters left: 3 (3 enodes) 124.084 * * [simplify]: iters left: 2 (9 enodes) 124.087 * * [simplify]: iters left: 1 (11 enodes) 124.089 * * [simplify]: Extracting #0: cost 1 inf + 0 124.089 * * [simplify]: Extracting #1: cost 0 inf + 1 124.089 * [simplify]: Simplified to 1 124.090 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* 1 (/ (sqrt 1) (sqrt k))))) 124.090 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k)) 124.090 * * [simplify]: iters left: 3 (5 enodes) 124.094 * * [simplify]: iters left: 2 (17 enodes) 124.098 * * [simplify]: iters left: 1 (19 enodes) 124.104 * * [simplify]: Extracting #0: cost 1 inf + 0 124.104 * * [simplify]: Extracting #1: cost 4 inf + 0 124.104 * * [simplify]: Extracting #2: cost 5 inf + 1 124.104 * * [simplify]: Extracting #3: cost 0 inf + 248 124.104 * [simplify]: Simplified to (/ 1 (sqrt k)) 124.104 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* 1 (/ 1 (sqrt k))))) 124.104 * * * * [progress]: [ 136 / 166 ] simplifiying candidate # 124.105 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 124.105 * * [simplify]: iters left: 6 (6 enodes) 124.108 * * [simplify]: iters left: 5 (22 enodes) 124.115 * * [simplify]: iters left: 4 (26 enodes) 124.125 * * [simplify]: Extracting #0: cost 1 inf + 0 124.125 * * [simplify]: Extracting #1: cost 6 inf + 0 124.125 * * [simplify]: Extracting #2: cost 9 inf + 1 124.126 * * [simplify]: Extracting #3: cost 11 inf + 1 124.126 * * [simplify]: Extracting #4: cost 8 inf + 84 124.126 * * [simplify]: Extracting #5: cost 2 inf + 1013 124.126 * * [simplify]: Extracting #6: cost 0 inf + 1376 124.127 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 124.127 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))))) 124.127 * [simplify]: Simplifying (/ 1 (cbrt (sqrt k))) 124.127 * * [simplify]: iters left: 4 (5 enodes) 124.130 * * [simplify]: iters left: 3 (17 enodes) 124.135 * * [simplify]: iters left: 2 (19 enodes) 124.141 * * [simplify]: Extracting #0: cost 1 inf + 0 124.141 * * [simplify]: Extracting #1: cost 4 inf + 0 124.141 * * [simplify]: Extracting #2: cost 5 inf + 1 124.141 * * [simplify]: Extracting #3: cost 7 inf + 1 124.141 * * [simplify]: Extracting #4: cost 0 inf + 650 124.142 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 124.142 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))))) 124.142 * * * * [progress]: [ 137 / 166 ] simplifiying candidate # 124.142 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt k) (cbrt k)))) 124.142 * * [simplify]: iters left: 6 (6 enodes) 124.146 * * [simplify]: iters left: 5 (21 enodes) 124.152 * * [simplify]: iters left: 4 (23 enodes) 124.158 * * [simplify]: Extracting #0: cost 1 inf + 0 124.158 * * [simplify]: Extracting #1: cost 4 inf + 0 124.158 * * [simplify]: Extracting #2: cost 6 inf + 1 124.158 * * [simplify]: Extracting #3: cost 9 inf + 1 124.158 * * [simplify]: Extracting #4: cost 8 inf + 2 124.158 * * [simplify]: Extracting #5: cost 1 inf + 810 124.159 * * [simplify]: Extracting #6: cost 0 inf + 972 124.159 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 124.159 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))))) 124.159 * [simplify]: Simplifying (/ 1 (sqrt (cbrt k))) 124.159 * * [simplify]: iters left: 4 (5 enodes) 124.160 * * [simplify]: iters left: 3 (17 enodes) 124.163 * * [simplify]: iters left: 2 (19 enodes) 124.166 * * [simplify]: Extracting #0: cost 1 inf + 0 124.166 * * [simplify]: Extracting #1: cost 4 inf + 0 124.166 * * [simplify]: Extracting #2: cost 5 inf + 1 124.166 * * [simplify]: Extracting #3: cost 7 inf + 1 124.166 * * [simplify]: Extracting #4: cost 0 inf + 730 124.166 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 124.167 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))))) 124.167 * * * * [progress]: [ 138 / 166 ] simplifiying candidate # 124.167 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 124.167 * * [simplify]: iters left: 4 (5 enodes) 124.168 * * [simplify]: iters left: 3 (17 enodes) 124.171 * * [simplify]: iters left: 2 (19 enodes) 124.174 * * [simplify]: Extracting #0: cost 1 inf + 0 124.174 * * [simplify]: Extracting #1: cost 4 inf + 0 124.174 * * [simplify]: Extracting #2: cost 5 inf + 1 124.174 * * [simplify]: Extracting #3: cost 7 inf + 1 124.174 * * [simplify]: Extracting #4: cost 0 inf + 490 124.174 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 124.174 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 124.174 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 124.174 * * [simplify]: iters left: 4 (5 enodes) 124.176 * * [simplify]: iters left: 3 (17 enodes) 124.178 * * [simplify]: iters left: 2 (19 enodes) 124.181 * * [simplify]: Extracting #0: cost 1 inf + 0 124.181 * * [simplify]: Extracting #1: cost 4 inf + 0 124.181 * * [simplify]: Extracting #2: cost 5 inf + 1 124.181 * * [simplify]: Extracting #3: cost 7 inf + 1 124.181 * * [simplify]: Extracting #4: cost 0 inf + 490 124.182 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 124.182 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 124.182 * * * * [progress]: [ 139 / 166 ] simplifiying candidate # 124.182 * [simplify]: Simplifying (/ 1 (sqrt 1)) 124.182 * * [simplify]: iters left: 3 (3 enodes) 124.185 * * [simplify]: iters left: 2 (11 enodes) 124.188 * * [simplify]: iters left: 1 (13 enodes) 124.191 * * [simplify]: Extracting #0: cost 1 inf + 0 124.191 * * [simplify]: Extracting #1: cost 0 inf + 1 124.191 * [simplify]: Simplified to 1 124.191 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* 1 (/ 1 (sqrt k))))) 124.192 * [simplify]: Simplifying (/ 1 (sqrt k)) 124.192 * * [simplify]: iters left: 3 (4 enodes) 124.194 * * [simplify]: iters left: 2 (14 enodes) 124.198 * * [simplify]: iters left: 1 (16 enodes) 124.203 * * [simplify]: Extracting #0: cost 1 inf + 0 124.203 * * [simplify]: Extracting #1: cost 4 inf + 0 124.203 * * [simplify]: Extracting #2: cost 5 inf + 1 124.203 * * [simplify]: Extracting #3: cost 3 inf + 43 124.203 * * [simplify]: Extracting #4: cost 1 inf + 166 124.203 * * [simplify]: Extracting #5: cost 0 inf + 248 124.203 * [simplify]: Simplified to (/ 1 (sqrt k)) 124.203 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* 1 (/ 1 (sqrt k))))) 124.203 * * * * [progress]: [ 140 / 166 ] simplifiying candidate # 124.204 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 124.204 * * [simplify]: iters left: 4 (5 enodes) 124.206 * * [simplify]: iters left: 3 (17 enodes) 124.211 * * [simplify]: iters left: 2 (19 enodes) 124.218 * * [simplify]: Extracting #0: cost 1 inf + 0 124.218 * * [simplify]: Extracting #1: cost 4 inf + 0 124.218 * * [simplify]: Extracting #2: cost 5 inf + 1 124.218 * * [simplify]: Extracting #3: cost 7 inf + 1 124.218 * * [simplify]: Extracting #4: cost 0 inf + 490 124.218 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 124.218 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 124.219 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 124.219 * * [simplify]: iters left: 4 (5 enodes) 124.221 * * [simplify]: iters left: 3 (17 enodes) 124.226 * * [simplify]: iters left: 2 (19 enodes) 124.232 * * [simplify]: Extracting #0: cost 1 inf + 0 124.232 * * [simplify]: Extracting #1: cost 4 inf + 0 124.232 * * [simplify]: Extracting #2: cost 5 inf + 1 124.232 * * [simplify]: Extracting #3: cost 7 inf + 1 124.232 * * [simplify]: Extracting #4: cost 0 inf + 490 124.232 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 124.232 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 124.233 * * * * [progress]: [ 141 / 166 ] simplifiying candidate # 124.233 * [simplify]: Simplifying (/ 1 1) 124.233 * * [simplify]: iters left: 2 (2 enodes) 124.234 * * [simplify]: iters left: 1 (6 enodes) 124.236 * * [simplify]: Extracting #0: cost 1 inf + 0 124.236 * * [simplify]: Extracting #1: cost 0 inf + 1 124.236 * [simplify]: Simplified to 1 124.236 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* 1 (/ 1 (sqrt k))))) 124.237 * [simplify]: Simplifying (/ 1 (sqrt k)) 124.237 * * [simplify]: iters left: 3 (4 enodes) 124.239 * * [simplify]: iters left: 2 (14 enodes) 124.243 * * [simplify]: iters left: 1 (16 enodes) 124.247 * * [simplify]: Extracting #0: cost 1 inf + 0 124.248 * * [simplify]: Extracting #1: cost 4 inf + 0 124.248 * * [simplify]: Extracting #2: cost 5 inf + 1 124.248 * * [simplify]: Extracting #3: cost 3 inf + 43 124.248 * * [simplify]: Extracting #4: cost 1 inf + 166 124.248 * * [simplify]: Extracting #5: cost 0 inf + 248 124.248 * [simplify]: Simplified to (/ 1 (sqrt k)) 124.248 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* 1 (/ 1 (sqrt k))))) 124.248 * * * * [progress]: [ 142 / 166 ] simplifiying candidate # 124.248 * * * * [progress]: [ 143 / 166 ] simplifiying candidate # 124.248 * * * * [progress]: [ 144 / 166 ] simplifiying candidate # 124.249 * * * * [progress]: [ 145 / 166 ] simplifiying candidate # 124.249 * [simplify]: Simplifying (cbrt (sqrt k)) 124.249 * * [simplify]: iters left: 2 (3 enodes) 124.250 * * [simplify]: iters left: 1 (9 enodes) 124.253 * * [simplify]: Extracting #0: cost 1 inf + 0 124.253 * * [simplify]: Extracting #1: cost 3 inf + 0 124.253 * * [simplify]: Extracting #2: cost 5 inf + 0 124.253 * * [simplify]: Extracting #3: cost 4 inf + 1 124.253 * * [simplify]: Extracting #4: cost 0 inf + 325 124.253 * [simplify]: Simplified to (cbrt (sqrt k)) 124.253 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))))) 124.254 * * * * [progress]: [ 146 / 166 ] simplifiying candidate # 124.254 * [simplify]: Simplifying (sqrt (cbrt k)) 124.254 * * [simplify]: iters left: 2 (3 enodes) 124.255 * * [simplify]: iters left: 1 (9 enodes) 124.257 * * [simplify]: Extracting #0: cost 1 inf + 0 124.257 * * [simplify]: Extracting #1: cost 3 inf + 0 124.257 * * [simplify]: Extracting #2: cost 5 inf + 0 124.257 * * [simplify]: Extracting #3: cost 4 inf + 1 124.258 * * [simplify]: Extracting #4: cost 0 inf + 405 124.258 * [simplify]: Simplified to (sqrt (cbrt k)) 124.258 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k))))) 124.258 * * * * [progress]: [ 147 / 166 ] simplifiying candidate # 124.258 * [simplify]: Simplifying (sqrt (sqrt k)) 124.258 * * [simplify]: iters left: 2 (3 enodes) 124.259 * * [simplify]: iters left: 1 (9 enodes) 124.265 * * [simplify]: Extracting #0: cost 1 inf + 0 124.265 * * [simplify]: Extracting #1: cost 3 inf + 0 124.265 * * [simplify]: Extracting #2: cost 5 inf + 0 124.265 * * [simplify]: Extracting #3: cost 4 inf + 1 124.265 * * [simplify]: Extracting #4: cost 0 inf + 245 124.265 * [simplify]: Simplified to (sqrt (sqrt k)) 124.266 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))))) 124.266 * * * * [progress]: [ 148 / 166 ] simplifiying candidate # 124.266 * [simplify]: Simplifying (sqrt k) 124.266 * * [simplify]: iters left: 1 (2 enodes) 124.267 * * [simplify]: Extracting #0: cost 1 inf + 0 124.267 * * [simplify]: Extracting #1: cost 3 inf + 0 124.267 * * [simplify]: Extracting #2: cost 2 inf + 1 124.267 * * [simplify]: Extracting #3: cost 0 inf + 83 124.267 * [simplify]: Simplified to (sqrt k) 124.267 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ (/ 1 (sqrt 1)) (sqrt k)))) 124.267 * * * * [progress]: [ 149 / 166 ] simplifiying candidate # 124.268 * [simplify]: Simplifying (sqrt (sqrt k)) 124.268 * * [simplify]: iters left: 2 (3 enodes) 124.269 * * [simplify]: iters left: 1 (9 enodes) 124.271 * * [simplify]: Extracting #0: cost 1 inf + 0 124.271 * * [simplify]: Extracting #1: cost 3 inf + 0 124.271 * * [simplify]: Extracting #2: cost 5 inf + 0 124.271 * * [simplify]: Extracting #3: cost 4 inf + 1 124.271 * * [simplify]: Extracting #4: cost 0 inf + 245 124.271 * [simplify]: Simplified to (sqrt (sqrt k)) 124.271 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))))) 124.272 * * * * [progress]: [ 150 / 166 ] simplifiying candidate # 124.272 * [simplify]: Simplifying (sqrt k) 124.272 * * [simplify]: iters left: 1 (2 enodes) 124.273 * * [simplify]: Extracting #0: cost 1 inf + 0 124.273 * * [simplify]: Extracting #1: cost 3 inf + 0 124.273 * * [simplify]: Extracting #2: cost 2 inf + 1 124.273 * * [simplify]: Extracting #3: cost 0 inf + 83 124.273 * [simplify]: Simplified to (sqrt k) 124.273 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ (/ 1 1) (sqrt k)))) 124.273 * * * * [progress]: [ 151 / 166 ] simplifiying candidate # 124.273 * [simplify]: Simplifying (* (cbrt 1) (cbrt 1)) 124.273 * * [simplify]: iters left: 3 (3 enodes) 124.280 * * [simplify]: iters left: 2 (11 enodes) 124.282 * * [simplify]: iters left: 1 (13 enodes) 124.286 * * [simplify]: Extracting #0: cost 1 inf + 0 124.286 * * [simplify]: Extracting #1: cost 0 inf + 1 124.286 * [simplify]: Simplified to 1 124.286 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ 1 (/ (sqrt k) (cbrt 1))))) 124.286 * * * * [progress]: [ 152 / 166 ] simplifiying candidate # 124.286 * [simplify]: Simplifying (sqrt 1) 124.286 * * [simplify]: iters left: 1 (2 enodes) 124.288 * * [simplify]: Extracting #0: cost 1 inf + 0 124.288 * * [simplify]: Extracting #1: cost 0 inf + 1 124.288 * [simplify]: Simplified to 1 124.288 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ 1 (/ (sqrt k) (sqrt 1))))) 124.288 * * * * [progress]: [ 153 / 166 ] simplifiying candidate # 124.288 * * * * [progress]: [ 154 / 166 ] simplifiying candidate #real (real->posit16 (/ 1 (sqrt k))))))> 124.288 * * * * [progress]: [ 155 / 166 ] simplifiying candidate # 124.288 * [simplify]: Simplifying (- (exp (+ (log n) (log (* 2 PI)))) (+ (* +nan.0 (* k (* (exp (+ (log n) (log (* 2 PI)))) (log (* 2 PI))))) (- (+ (* +nan.0 (* k (* (log n) (exp (+ (log n) (log (* 2 PI))))))) (- (+ (* +nan.0 (* (log n) (* (log (* 2 PI)) (* (exp (+ (log n) (log (* 2 PI)))) (pow k 2))))) (- (+ (* +nan.0 (* (exp (+ (log n) (log (* 2 PI)))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (+ (log n) (log (* 2 PI)))) (pow k 2)))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (+ (log n) (log (* 2 PI)))) (pow k 2)))) (- (* +nan.0 (* (exp (+ (log n) (log (* 2 PI)))) (* (pow (log n) 2) (pow k 2))))))))))))))))) 124.288 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow +nan.0 (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 124.289 * * * * [progress]: [ 156 / 166 ] simplifiying candidate # 124.289 * [simplify]: Simplifying (- (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (* (log (/ 1 n)) (log (* 2 PI)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (* 2 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (/ 1 n)) 2)) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n))) (pow k 2)))))))))))))))) 124.289 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow +nan.0 (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 124.289 * * * * [progress]: [ 157 / 166 ] simplifiying candidate # 124.290 * [simplify]: Simplifying (- (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (/ (* (pow (log (/ -1 n)) 2) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (pow (log (* -2 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI))) (pow k 2)))))))))))))))) 124.290 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow +nan.0 (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 124.290 * * * * [progress]: [ 158 / 166 ] simplifiying candidate # 124.290 * [simplify]: Simplifying (- (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))))))))))))) 124.290 * [simplify]: Simplified (2 1) to (λ (k n) (* +nan.0 (/ 1 (sqrt k)))) 124.291 * * * * [progress]: [ 159 / 166 ] simplifiying candidate # 124.291 * [simplify]: Simplifying (- (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (* (log (/ 1 n)) (log (* 2 PI)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (* 2 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (* 2 PI))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (pow (log (/ 1 n)) 2)) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ 1 n))) (- (* +nan.0 (log (* 2 PI))))))) (log (/ 1 n))) (pow k 2)))))))))))))))) 124.291 * [simplify]: Simplified (2 1) to (λ (k n) (* +nan.0 (/ 1 (sqrt k)))) 124.291 * * * * [progress]: [ 160 / 166 ] simplifiying candidate # 124.291 * [simplify]: Simplifying (- (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (+ (* +nan.0 (/ (* (pow (log (/ -1 n)) 2) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI))) k)) (- (+ (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (pow (log (* -2 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ -1 n)) (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI)))))))) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2 PI))))))) (log (* -2 PI))) (pow k 2)))))))))))))))) 124.291 * [simplify]: Simplified (2 1) to (λ (k n) (* +nan.0 (/ 1 (sqrt k)))) 124.292 * * * * [progress]: [ 161 / 166 ] simplifiying candidate # 124.292 * [simplify]: Simplifying (* 2 (* n PI)) 124.292 * * [simplify]: iters left: 4 (5 enodes) 124.294 * * [simplify]: iters left: 3 (19 enodes) 124.297 * * [simplify]: iters left: 2 (27 enodes) 124.301 * * [simplify]: iters left: 1 (32 enodes) 124.305 * * [simplify]: Extracting #0: cost 1 inf + 0 124.305 * * [simplify]: Extracting #1: cost 8 inf + 0 124.305 * * [simplify]: Extracting #2: cost 7 inf + 45 124.305 * * [simplify]: Extracting #3: cost 0 inf + 421 124.305 * [simplify]: Simplified to (* (* PI n) 2) 124.305 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (pow (* (* PI n) 2) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 124.305 * * * * [progress]: [ 162 / 166 ] simplifiying candidate # 124.306 * [simplify]: Simplifying (* 2 (* n PI)) 124.306 * * [simplify]: iters left: 4 (5 enodes) 124.307 * * [simplify]: iters left: 3 (19 enodes) 124.310 * * [simplify]: iters left: 2 (27 enodes) 124.314 * * [simplify]: iters left: 1 (32 enodes) 124.322 * * [simplify]: Extracting #0: cost 1 inf + 0 124.322 * * [simplify]: Extracting #1: cost 8 inf + 0 124.322 * * [simplify]: Extracting #2: cost 7 inf + 45 124.322 * * [simplify]: Extracting #3: cost 0 inf + 421 124.322 * [simplify]: Simplified to (* (* PI n) 2) 124.322 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (pow (* (* PI n) 2) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 124.322 * * * * [progress]: [ 163 / 166 ] simplifiying candidate # 124.323 * [simplify]: Simplifying (* 2 (* n PI)) 124.323 * * [simplify]: iters left: 4 (5 enodes) 124.326 * * [simplify]: iters left: 3 (19 enodes) 124.332 * * [simplify]: iters left: 2 (27 enodes) 124.339 * * [simplify]: iters left: 1 (32 enodes) 124.347 * * [simplify]: Extracting #0: cost 1 inf + 0 124.347 * * [simplify]: Extracting #1: cost 8 inf + 0 124.347 * * [simplify]: Extracting #2: cost 7 inf + 45 124.348 * * [simplify]: Extracting #3: cost 0 inf + 421 124.348 * [simplify]: Simplified to (* (* PI n) 2) 124.348 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (pow (* (* PI n) 2) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 124.348 * * * * [progress]: [ 164 / 166 ] simplifiying candidate # 124.348 * [simplify]: Simplifying (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 124.349 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) +nan.0)) 124.349 * * * * [progress]: [ 165 / 166 ] simplifiying candidate # 124.349 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 124.349 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) +nan.0)) 124.349 * * * * [progress]: [ 166 / 166 ] simplifiying candidate # 124.350 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 124.350 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) +nan.0)) 124.350 * * * [progress]: adding candidates to table 126.431 * [progress]: [Phase 3 of 3] Extracting. 126.431 * * [regime]: Finding splitpoints for: (# # # # # # #) 126.438 * * * [regime-changes]: Trying 2 branch expressions: (n k) 126.438 * * * * [regimes]: Trying to branch on n from (# # # # # # #) 126.514 * * * * [regimes]: Trying to branch on k from (# # # # # # #) 126.565 * * * [regime]: Found split indices: #