0.002 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.183 * * * [progress]: [2/2] Setting up program. 0.186 * [progress]: [Phase 2 of 3] Improving. 0.186 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.186 * [simplify]: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 0.186 * * [simplify]: iters left: 6 (13 enodes) 0.190 * * [simplify]: iters left: 5 (57 enodes) 0.206 * * [simplify]: iters left: 4 (96 enodes) 0.223 * * [simplify]: iters left: 3 (172 enodes) 0.278 * * [simplify]: iters left: 2 (338 enodes) 0.386 * * [simplify]: Extracting #0: cost 1 inf + 0 0.386 * * [simplify]: Extracting #1: cost 41 inf + 0 0.387 * * [simplify]: Extracting #2: cost 120 inf + 1 0.388 * * [simplify]: Extracting #3: cost 166 inf + 127 0.390 * * [simplify]: Extracting #4: cost 163 inf + 676 0.393 * * [simplify]: Extracting #5: cost 119 inf + 8991 0.403 * * [simplify]: Extracting #6: cost 63 inf + 29786 0.424 * * [simplify]: Extracting #7: cost 6 inf + 73494 0.449 * * [simplify]: Extracting #8: cost 0 inf + 78104 0.463 * [simplify]: Simplified to (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 0.463 * [simplify]: Simplified (2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 0.469 * * [progress]: iteration 1 / 4 0.469 * * * [progress]: picking best candidate 0.477 * * * * [pick]: Picked # 0.477 * * * [progress]: localizing error 0.522 * * * [progress]: generating rewritten candidates 0.522 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.550 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.580 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.604 * * * [progress]: generating series expansions 0.604 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.605 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) 0.605 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0 0.605 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 0.605 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 0.605 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 0.605 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 0.605 * [taylor]: Taking taylor expansion of 1/2 in k 0.605 * [backup-simplify]: Simplify 1/2 into 1/2 0.605 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.605 * [taylor]: Taking taylor expansion of 1 in k 0.605 * [backup-simplify]: Simplify 1 into 1 0.605 * [taylor]: Taking taylor expansion of k in k 0.606 * [backup-simplify]: Simplify 0 into 0 0.606 * [backup-simplify]: Simplify 1 into 1 0.606 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 0.606 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 0.606 * [taylor]: Taking taylor expansion of 2 in k 0.606 * [backup-simplify]: Simplify 2 into 2 0.606 * [taylor]: Taking taylor expansion of (* n PI) in k 0.606 * [taylor]: Taking taylor expansion of n in k 0.606 * [backup-simplify]: Simplify n into n 0.606 * [taylor]: Taking taylor expansion of PI in k 0.606 * [backup-simplify]: Simplify PI into PI 0.606 * [backup-simplify]: Simplify (* n PI) into (* n PI) 0.606 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 0.606 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 0.606 * [backup-simplify]: Simplify (- 0) into 0 0.607 * [backup-simplify]: Simplify (+ 1 0) into 1 0.607 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.607 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 0.607 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 0.608 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.608 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.608 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.608 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.608 * [taylor]: Taking taylor expansion of 1/2 in n 0.608 * [backup-simplify]: Simplify 1/2 into 1/2 0.608 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.608 * [taylor]: Taking taylor expansion of 1 in n 0.608 * [backup-simplify]: Simplify 1 into 1 0.608 * [taylor]: Taking taylor expansion of k in n 0.608 * [backup-simplify]: Simplify k into k 0.608 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.608 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.608 * [taylor]: Taking taylor expansion of 2 in n 0.608 * [backup-simplify]: Simplify 2 into 2 0.608 * [taylor]: Taking taylor expansion of (* n PI) in n 0.608 * [taylor]: Taking taylor expansion of n in n 0.608 * [backup-simplify]: Simplify 0 into 0 0.608 * [backup-simplify]: Simplify 1 into 1 0.608 * [taylor]: Taking taylor expansion of PI in n 0.608 * [backup-simplify]: Simplify PI into PI 0.608 * [backup-simplify]: Simplify (* 0 PI) into 0 0.609 * [backup-simplify]: Simplify (* 2 0) into 0 0.610 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.612 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.613 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.613 * [backup-simplify]: Simplify (- k) into (- k) 0.613 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.613 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 0.614 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.615 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 0.616 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0.616 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.617 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.617 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.617 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.617 * [taylor]: Taking taylor expansion of 1/2 in n 0.617 * [backup-simplify]: Simplify 1/2 into 1/2 0.617 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.617 * [taylor]: Taking taylor expansion of 1 in n 0.617 * [backup-simplify]: Simplify 1 into 1 0.617 * [taylor]: Taking taylor expansion of k in n 0.617 * [backup-simplify]: Simplify k into k 0.617 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.617 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.617 * [taylor]: Taking taylor expansion of 2 in n 0.617 * [backup-simplify]: Simplify 2 into 2 0.617 * [taylor]: Taking taylor expansion of (* n PI) in n 0.617 * [taylor]: Taking taylor expansion of n in n 0.617 * [backup-simplify]: Simplify 0 into 0 0.617 * [backup-simplify]: Simplify 1 into 1 0.617 * [taylor]: Taking taylor expansion of PI in n 0.617 * [backup-simplify]: Simplify PI into PI 0.617 * [backup-simplify]: Simplify (* 0 PI) into 0 0.618 * [backup-simplify]: Simplify (* 2 0) into 0 0.619 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.621 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.622 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.622 * [backup-simplify]: Simplify (- k) into (- k) 0.622 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.622 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 0.623 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.624 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 0.625 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0.625 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 0.625 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 0.625 * [taylor]: Taking taylor expansion of 1/2 in k 0.625 * [backup-simplify]: Simplify 1/2 into 1/2 0.625 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 0.626 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.626 * [taylor]: Taking taylor expansion of 1 in k 0.626 * [backup-simplify]: Simplify 1 into 1 0.626 * [taylor]: Taking taylor expansion of k in k 0.626 * [backup-simplify]: Simplify 0 into 0 0.626 * [backup-simplify]: Simplify 1 into 1 0.626 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 0.626 * [taylor]: Taking taylor expansion of (log n) in k 0.626 * [taylor]: Taking taylor expansion of n in k 0.626 * [backup-simplify]: Simplify n into n 0.626 * [backup-simplify]: Simplify (log n) into (log n) 0.626 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.626 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.626 * [taylor]: Taking taylor expansion of 2 in k 0.626 * [backup-simplify]: Simplify 2 into 2 0.626 * [taylor]: Taking taylor expansion of PI in k 0.626 * [backup-simplify]: Simplify PI into PI 0.626 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.627 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.628 * [backup-simplify]: Simplify (- 0) into 0 0.628 * [backup-simplify]: Simplify (+ 1 0) into 1 0.629 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.630 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 0.631 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 0.632 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0.633 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0.634 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 0.635 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 0.637 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.637 * [backup-simplify]: Simplify (- 0) into 0 0.637 * [backup-simplify]: Simplify (+ 0 0) into 0 0.638 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 0.639 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.640 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 0.642 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.642 * [taylor]: Taking taylor expansion of 0 in k 0.642 * [backup-simplify]: Simplify 0 into 0 0.642 * [backup-simplify]: Simplify 0 into 0 0.643 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 0.644 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 0.646 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.646 * [backup-simplify]: Simplify (+ 0 0) into 0 0.646 * [backup-simplify]: Simplify (- 1) into -1 0.647 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.648 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 0.650 * [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))))) 0.653 * [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))))))) 0.656 * [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))))))) 0.657 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 0.658 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 0.661 * [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 0.662 * [backup-simplify]: Simplify (- 0) into 0 0.662 * [backup-simplify]: Simplify (+ 0 0) into 0 0.663 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 0.665 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.666 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.668 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.668 * [taylor]: Taking taylor expansion of 0 in k 0.668 * [backup-simplify]: Simplify 0 into 0 0.668 * [backup-simplify]: Simplify 0 into 0 0.668 * [backup-simplify]: Simplify 0 into 0 0.670 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 0.671 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 0.674 * [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 0.675 * [backup-simplify]: Simplify (+ 0 0) into 0 0.675 * [backup-simplify]: Simplify (- 0) into 0 0.676 * [backup-simplify]: Simplify (+ 0 0) into 0 0.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.680 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.683 * [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))))) 0.688 * [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))))) 0.701 * [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))))) 0.702 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) 0.702 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 0.702 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 0.702 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 0.702 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 0.702 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 0.702 * [taylor]: Taking taylor expansion of 1/2 in k 0.703 * [backup-simplify]: Simplify 1/2 into 1/2 0.703 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 0.703 * [taylor]: Taking taylor expansion of 1 in k 0.703 * [backup-simplify]: Simplify 1 into 1 0.703 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.703 * [taylor]: Taking taylor expansion of k in k 0.703 * [backup-simplify]: Simplify 0 into 0 0.703 * [backup-simplify]: Simplify 1 into 1 0.703 * [backup-simplify]: Simplify (/ 1 1) into 1 0.703 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 0.703 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 0.703 * [taylor]: Taking taylor expansion of 2 in k 0.703 * [backup-simplify]: Simplify 2 into 2 0.703 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.703 * [taylor]: Taking taylor expansion of PI in k 0.703 * [backup-simplify]: Simplify PI into PI 0.703 * [taylor]: Taking taylor expansion of n in k 0.703 * [backup-simplify]: Simplify n into n 0.703 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 0.703 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 0.704 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 0.704 * [backup-simplify]: Simplify (- 1) into -1 0.704 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.705 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 0.705 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 0.705 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 0.705 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 0.705 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 0.705 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 0.705 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 0.705 * [taylor]: Taking taylor expansion of 1/2 in n 0.705 * [backup-simplify]: Simplify 1/2 into 1/2 0.705 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 0.705 * [taylor]: Taking taylor expansion of 1 in n 0.705 * [backup-simplify]: Simplify 1 into 1 0.705 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.705 * [taylor]: Taking taylor expansion of k in n 0.705 * [backup-simplify]: Simplify k into k 0.705 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.705 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 0.705 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.705 * [taylor]: Taking taylor expansion of 2 in n 0.706 * [backup-simplify]: Simplify 2 into 2 0.706 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.706 * [taylor]: Taking taylor expansion of PI in n 0.706 * [backup-simplify]: Simplify PI into PI 0.706 * [taylor]: Taking taylor expansion of n in n 0.706 * [backup-simplify]: Simplify 0 into 0 0.706 * [backup-simplify]: Simplify 1 into 1 0.706 * [backup-simplify]: Simplify (/ PI 1) into PI 0.707 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.708 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.708 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 0.708 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 0.708 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 0.709 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.710 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 0.711 * [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))))) 0.711 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 0.711 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 0.711 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 0.712 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 0.712 * [taylor]: Taking taylor expansion of 1/2 in n 0.712 * [backup-simplify]: Simplify 1/2 into 1/2 0.712 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 0.712 * [taylor]: Taking taylor expansion of 1 in n 0.712 * [backup-simplify]: Simplify 1 into 1 0.712 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.712 * [taylor]: Taking taylor expansion of k in n 0.712 * [backup-simplify]: Simplify k into k 0.712 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.712 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 0.712 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.712 * [taylor]: Taking taylor expansion of 2 in n 0.712 * [backup-simplify]: Simplify 2 into 2 0.712 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.712 * [taylor]: Taking taylor expansion of PI in n 0.712 * [backup-simplify]: Simplify PI into PI 0.712 * [taylor]: Taking taylor expansion of n in n 0.712 * [backup-simplify]: Simplify 0 into 0 0.712 * [backup-simplify]: Simplify 1 into 1 0.713 * [backup-simplify]: Simplify (/ PI 1) into PI 0.713 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.714 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.715 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 0.715 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 0.715 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 0.716 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.717 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 0.718 * [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))))) 0.719 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 0.719 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 0.719 * [taylor]: Taking taylor expansion of 1/2 in k 0.719 * [backup-simplify]: Simplify 1/2 into 1/2 0.719 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 0.719 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 0.719 * [taylor]: Taking taylor expansion of 1 in k 0.719 * [backup-simplify]: Simplify 1 into 1 0.719 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.719 * [taylor]: Taking taylor expansion of k in k 0.719 * [backup-simplify]: Simplify 0 into 0 0.719 * [backup-simplify]: Simplify 1 into 1 0.719 * [backup-simplify]: Simplify (/ 1 1) into 1 0.719 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 0.719 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.719 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.719 * [taylor]: Taking taylor expansion of 2 in k 0.719 * [backup-simplify]: Simplify 2 into 2 0.720 * [taylor]: Taking taylor expansion of PI in k 0.720 * [backup-simplify]: Simplify PI into PI 0.720 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.721 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.721 * [taylor]: Taking taylor expansion of (log n) in k 0.721 * [taylor]: Taking taylor expansion of n in k 0.721 * [backup-simplify]: Simplify n into n 0.721 * [backup-simplify]: Simplify (log n) into (log n) 0.722 * [backup-simplify]: Simplify (- 1) into -1 0.722 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.722 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 0.723 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 0.724 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 0.726 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 0.727 * [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 * [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))))) 0.729 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.730 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 0.731 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.732 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.732 * [backup-simplify]: Simplify (- 0) into 0 0.732 * [backup-simplify]: Simplify (+ 0 0) into 0 0.733 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 0.734 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.735 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 0.737 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.737 * [taylor]: Taking taylor expansion of 0 in k 0.737 * [backup-simplify]: Simplify 0 into 0 0.737 * [backup-simplify]: Simplify 0 into 0 0.737 * [backup-simplify]: Simplify 0 into 0 0.739 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.740 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 0.743 * [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 0.743 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.743 * [backup-simplify]: Simplify (- 0) into 0 0.744 * [backup-simplify]: Simplify (+ 0 0) into 0 0.745 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 0.746 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.748 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 0.750 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.750 * [taylor]: Taking taylor expansion of 0 in k 0.750 * [backup-simplify]: Simplify 0 into 0 0.750 * [backup-simplify]: Simplify 0 into 0 0.750 * [backup-simplify]: Simplify 0 into 0 0.750 * [backup-simplify]: Simplify 0 into 0 0.752 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.753 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.758 * [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 0.759 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.759 * [backup-simplify]: Simplify (- 0) into 0 0.760 * [backup-simplify]: Simplify (+ 0 0) into 0 0.761 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 0.762 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.764 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 0.767 * [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 0.767 * [taylor]: Taking taylor expansion of 0 in k 0.767 * [backup-simplify]: Simplify 0 into 0 0.767 * [backup-simplify]: Simplify 0 into 0 0.768 * [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)))))) 0.769 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) 0.769 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 0.769 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 0.769 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 0.769 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 0.769 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 0.769 * [taylor]: Taking taylor expansion of 1/2 in k 0.769 * [backup-simplify]: Simplify 1/2 into 1/2 0.769 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 0.769 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.769 * [taylor]: Taking taylor expansion of k in k 0.769 * [backup-simplify]: Simplify 0 into 0 0.769 * [backup-simplify]: Simplify 1 into 1 0.769 * [backup-simplify]: Simplify (/ 1 1) into 1 0.769 * [taylor]: Taking taylor expansion of 1 in k 0.769 * [backup-simplify]: Simplify 1 into 1 0.770 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 0.770 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 0.770 * [taylor]: Taking taylor expansion of -2 in k 0.770 * [backup-simplify]: Simplify -2 into -2 0.770 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.770 * [taylor]: Taking taylor expansion of PI in k 0.770 * [backup-simplify]: Simplify PI into PI 0.770 * [taylor]: Taking taylor expansion of n in k 0.770 * [backup-simplify]: Simplify n into n 0.770 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 0.770 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 0.770 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 0.770 * [backup-simplify]: Simplify (+ 1 0) into 1 0.771 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.771 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 0.771 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 0.771 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 0.771 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 0.771 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 0.771 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 0.771 * [taylor]: Taking taylor expansion of 1/2 in n 0.771 * [backup-simplify]: Simplify 1/2 into 1/2 0.771 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 0.771 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.771 * [taylor]: Taking taylor expansion of k in n 0.771 * [backup-simplify]: Simplify k into k 0.771 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.772 * [taylor]: Taking taylor expansion of 1 in n 0.772 * [backup-simplify]: Simplify 1 into 1 0.772 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 0.772 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.772 * [taylor]: Taking taylor expansion of -2 in n 0.772 * [backup-simplify]: Simplify -2 into -2 0.772 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.772 * [taylor]: Taking taylor expansion of PI in n 0.772 * [backup-simplify]: Simplify PI into PI 0.772 * [taylor]: Taking taylor expansion of n in n 0.772 * [backup-simplify]: Simplify 0 into 0 0.772 * [backup-simplify]: Simplify 1 into 1 0.772 * [backup-simplify]: Simplify (/ PI 1) into PI 0.773 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.774 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 0.774 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 0.774 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 0.775 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.776 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 0.778 * [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))))) 0.778 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 0.778 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 0.778 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 0.778 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 0.778 * [taylor]: Taking taylor expansion of 1/2 in n 0.778 * [backup-simplify]: Simplify 1/2 into 1/2 0.778 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 0.778 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.778 * [taylor]: Taking taylor expansion of k in n 0.778 * [backup-simplify]: Simplify k into k 0.778 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.778 * [taylor]: Taking taylor expansion of 1 in n 0.778 * [backup-simplify]: Simplify 1 into 1 0.778 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 0.778 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.778 * [taylor]: Taking taylor expansion of -2 in n 0.778 * [backup-simplify]: Simplify -2 into -2 0.778 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.778 * [taylor]: Taking taylor expansion of PI in n 0.778 * [backup-simplify]: Simplify PI into PI 0.778 * [taylor]: Taking taylor expansion of n in n 0.778 * [backup-simplify]: Simplify 0 into 0 0.778 * [backup-simplify]: Simplify 1 into 1 0.779 * [backup-simplify]: Simplify (/ PI 1) into PI 0.779 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.780 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 0.780 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 0.780 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 0.782 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.783 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 0.784 * [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))))) 0.784 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 0.784 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 0.784 * [taylor]: Taking taylor expansion of 1/2 in k 0.784 * [backup-simplify]: Simplify 1/2 into 1/2 0.784 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 0.784 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 0.784 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.784 * [taylor]: Taking taylor expansion of k in k 0.784 * [backup-simplify]: Simplify 0 into 0 0.784 * [backup-simplify]: Simplify 1 into 1 0.785 * [backup-simplify]: Simplify (/ 1 1) into 1 0.785 * [taylor]: Taking taylor expansion of 1 in k 0.785 * [backup-simplify]: Simplify 1 into 1 0.785 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 0.785 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 0.785 * [taylor]: Taking taylor expansion of (* -2 PI) in k 0.785 * [taylor]: Taking taylor expansion of -2 in k 0.785 * [backup-simplify]: Simplify -2 into -2 0.785 * [taylor]: Taking taylor expansion of PI in k 0.785 * [backup-simplify]: Simplify PI into PI 0.785 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.786 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 0.786 * [taylor]: Taking taylor expansion of (log n) in k 0.786 * [taylor]: Taking taylor expansion of n in k 0.786 * [backup-simplify]: Simplify n into n 0.786 * [backup-simplify]: Simplify (log n) into (log n) 0.787 * [backup-simplify]: Simplify (+ 1 0) into 1 0.787 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 0.788 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 0.789 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 0.790 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 0.791 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 0.792 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 0.793 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.794 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 0.796 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 0.796 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.796 * [backup-simplify]: Simplify (+ 0 0) into 0 0.797 * [backup-simplify]: Simplify (+ (* 1/2 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 (- (log (* -2 PI)) (log n)))) into 0 0.801 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.801 * [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 0 into 0 0.802 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.803 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 0.806 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0 0.806 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.806 * [backup-simplify]: Simplify (+ 0 0) into 0 0.807 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 0.808 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.808 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 0.810 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.810 * [taylor]: Taking taylor expansion of 0 in k 0.810 * [backup-simplify]: Simplify 0 into 0 0.810 * [backup-simplify]: Simplify 0 into 0 0.810 * [backup-simplify]: Simplify 0 into 0 0.810 * [backup-simplify]: Simplify 0 into 0 0.810 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.811 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.814 * [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 0.814 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.815 * [backup-simplify]: Simplify (+ 0 0) into 0 0.815 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 0.816 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.817 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 0.819 * [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 0.819 * [taylor]: Taking taylor expansion of 0 in k 0.819 * [backup-simplify]: Simplify 0 into 0 0.819 * [backup-simplify]: Simplify 0 into 0 0.820 * [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)))))) 0.820 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.820 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI)) 0.820 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 0.820 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.820 * [taylor]: Taking taylor expansion of 2 in n 0.820 * [backup-simplify]: Simplify 2 into 2 0.820 * [taylor]: Taking taylor expansion of (* n PI) in n 0.820 * [taylor]: Taking taylor expansion of n in n 0.820 * [backup-simplify]: Simplify 0 into 0 0.820 * [backup-simplify]: Simplify 1 into 1 0.820 * [taylor]: Taking taylor expansion of PI in n 0.820 * [backup-simplify]: Simplify PI into PI 0.820 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.820 * [taylor]: Taking taylor expansion of 2 in n 0.820 * [backup-simplify]: Simplify 2 into 2 0.820 * [taylor]: Taking taylor expansion of (* n PI) in n 0.820 * [taylor]: Taking taylor expansion of n in n 0.820 * [backup-simplify]: Simplify 0 into 0 0.820 * [backup-simplify]: Simplify 1 into 1 0.820 * [taylor]: Taking taylor expansion of PI in n 0.820 * [backup-simplify]: Simplify PI into PI 0.820 * [backup-simplify]: Simplify (* 0 PI) into 0 0.821 * [backup-simplify]: Simplify (* 2 0) into 0 0.821 * [backup-simplify]: Simplify 0 into 0 0.822 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.823 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.823 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.823 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 0.824 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 0.824 * [backup-simplify]: Simplify 0 into 0 0.827 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 0.828 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 0.828 * [backup-simplify]: Simplify 0 into 0 0.829 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.830 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 0.830 * [backup-simplify]: Simplify 0 into 0 0.831 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 0.832 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 0.832 * [backup-simplify]: Simplify 0 into 0 0.833 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 0.833 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 0.834 * [backup-simplify]: Simplify 0 into 0 0.835 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 0.836 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 0.836 * [backup-simplify]: Simplify 0 into 0 0.836 * [backup-simplify]: Simplify (* (* 2 PI) 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 0.837 * [backup-simplify]: Simplify (/ PI 1) into PI 0.837 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.837 * [taylor]: Taking taylor expansion of 2 in n 0.837 * [backup-simplify]: Simplify 2 into 2 0.837 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.837 * [taylor]: Taking taylor expansion of PI in n 0.837 * [backup-simplify]: Simplify PI into PI 0.837 * [taylor]: Taking taylor expansion of n in n 0.837 * [backup-simplify]: Simplify 0 into 0 0.837 * [backup-simplify]: Simplify 1 into 1 0.837 * [backup-simplify]: Simplify (/ PI 1) into PI 0.838 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.838 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.838 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.839 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 0.839 * [backup-simplify]: Simplify 0 into 0 0.839 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.840 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 0.840 * [backup-simplify]: Simplify 0 into 0 0.840 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.841 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.841 * [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)))) into 0 0.844 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.844 * [backup-simplify]: Simplify 0 into 0 0.845 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.846 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 0.846 * [backup-simplify]: Simplify 0 into 0 0.847 * [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 0.849 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 0.849 * [backup-simplify]: Simplify 0 into 0 0.850 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 0.850 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n)) 0.850 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 0.850 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.850 * [taylor]: Taking taylor expansion of -2 in n 0.850 * [backup-simplify]: Simplify -2 into -2 0.850 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.850 * [taylor]: Taking taylor expansion of PI in n 0.850 * [backup-simplify]: Simplify PI into PI 0.850 * [taylor]: Taking taylor expansion of n in n 0.850 * [backup-simplify]: Simplify 0 into 0 0.850 * [backup-simplify]: Simplify 1 into 1 0.851 * [backup-simplify]: Simplify (/ PI 1) into PI 0.851 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) 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 (/ PI n) in n 0.851 * [taylor]: Taking taylor expansion of PI in n 0.851 * [backup-simplify]: Simplify PI into PI 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 0.852 * [backup-simplify]: Simplify (/ PI 1) into PI 0.852 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.853 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.853 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.854 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 0.854 * [backup-simplify]: Simplify 0 into 0 0.855 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.856 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 0.856 * [backup-simplify]: Simplify 0 into 0 0.857 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.859 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.859 * [backup-simplify]: Simplify 0 into 0 0.860 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.861 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.861 * [backup-simplify]: Simplify 0 into 0 0.862 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.864 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 0.864 * [backup-simplify]: Simplify 0 into 0 0.865 * [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 0.867 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 0.867 * [backup-simplify]: Simplify 0 into 0 0.867 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 0.867 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.868 * [backup-simplify]: Simplify (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) 0.868 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (n k) around 0 0.868 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 0.868 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 0.868 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 0.868 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 0.868 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 0.868 * [taylor]: Taking taylor expansion of 1/2 in k 0.868 * [backup-simplify]: Simplify 1/2 into 1/2 0.868 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.868 * [taylor]: Taking taylor expansion of 1 in k 0.868 * [backup-simplify]: Simplify 1 into 1 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 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 0.868 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 0.868 * [taylor]: Taking taylor expansion of 2 in k 0.868 * [backup-simplify]: Simplify 2 into 2 0.868 * [taylor]: Taking taylor expansion of (* n PI) in k 0.868 * [taylor]: Taking taylor expansion of n in k 0.868 * [backup-simplify]: Simplify n into n 0.868 * [taylor]: Taking taylor expansion of PI in k 0.869 * [backup-simplify]: Simplify PI into PI 0.869 * [backup-simplify]: Simplify (* n PI) into (* n PI) 0.869 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 0.869 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 0.869 * [backup-simplify]: Simplify (- 0) into 0 0.870 * [backup-simplify]: Simplify (+ 1 0) into 1 0.870 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.870 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 0.870 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 0.870 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.870 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.870 * [taylor]: Taking taylor expansion of k in k 0.870 * [backup-simplify]: Simplify 0 into 0 0.870 * [backup-simplify]: Simplify 1 into 1 0.871 * [backup-simplify]: Simplify (/ 1 1) into 1 0.871 * [backup-simplify]: Simplify (sqrt 0) into 0 0.873 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.873 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 0.873 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.873 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.873 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.873 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.873 * [taylor]: Taking taylor expansion of 1/2 in n 0.873 * [backup-simplify]: Simplify 1/2 into 1/2 0.873 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.873 * [taylor]: Taking taylor expansion of 1 in n 0.873 * [backup-simplify]: Simplify 1 into 1 0.873 * [taylor]: Taking taylor expansion of k in n 0.873 * [backup-simplify]: Simplify k into k 0.873 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.873 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.873 * [taylor]: Taking taylor expansion of 2 in n 0.873 * [backup-simplify]: Simplify 2 into 2 0.873 * [taylor]: Taking taylor expansion of (* n PI) in n 0.873 * [taylor]: Taking taylor expansion of n in n 0.873 * [backup-simplify]: Simplify 0 into 0 0.873 * [backup-simplify]: Simplify 1 into 1 0.873 * [taylor]: Taking taylor expansion of PI in n 0.873 * [backup-simplify]: Simplify PI into PI 0.874 * [backup-simplify]: Simplify (* 0 PI) into 0 0.874 * [backup-simplify]: Simplify (* 2 0) into 0 0.876 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.877 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.879 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.879 * [backup-simplify]: Simplify (- k) into (- k) 0.879 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.879 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 0.880 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.882 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 0.883 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0.883 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.883 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.883 * [taylor]: Taking taylor expansion of k in n 0.883 * [backup-simplify]: Simplify k into k 0.883 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.883 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 0.883 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.883 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 0.883 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 0.883 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.883 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.883 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.883 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.883 * [taylor]: Taking taylor expansion of 1/2 in n 0.883 * [backup-simplify]: Simplify 1/2 into 1/2 0.883 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.883 * [taylor]: Taking taylor expansion of 1 in n 0.884 * [backup-simplify]: Simplify 1 into 1 0.884 * [taylor]: Taking taylor expansion of k in n 0.884 * [backup-simplify]: Simplify k into k 0.884 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.884 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.884 * [taylor]: Taking taylor expansion of 2 in n 0.884 * [backup-simplify]: Simplify 2 into 2 0.884 * [taylor]: Taking taylor expansion of (* n PI) in n 0.884 * [taylor]: Taking taylor expansion of n in n 0.884 * [backup-simplify]: Simplify 0 into 0 0.884 * [backup-simplify]: Simplify 1 into 1 0.884 * [taylor]: Taking taylor expansion of PI in n 0.884 * [backup-simplify]: Simplify PI into PI 0.884 * [backup-simplify]: Simplify (* 0 PI) into 0 0.885 * [backup-simplify]: Simplify (* 2 0) into 0 0.886 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.887 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.887 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.887 * [backup-simplify]: Simplify (- k) into (- k) 0.887 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.887 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 0.888 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.889 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 0.889 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0.889 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.889 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.890 * [taylor]: Taking taylor expansion of k in n 0.890 * [backup-simplify]: Simplify k into k 0.890 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.890 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 0.890 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.890 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 0.890 * [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))) 0.891 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) in k 0.891 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 0.891 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 0.891 * [taylor]: Taking taylor expansion of 1/2 in k 0.891 * [backup-simplify]: Simplify 1/2 into 1/2 0.891 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 0.891 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.891 * [taylor]: Taking taylor expansion of 1 in k 0.891 * [backup-simplify]: Simplify 1 into 1 0.891 * [taylor]: Taking taylor expansion of k in k 0.891 * [backup-simplify]: Simplify 0 into 0 0.891 * [backup-simplify]: Simplify 1 into 1 0.891 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 0.891 * [taylor]: Taking taylor expansion of (log n) in k 0.891 * [taylor]: Taking taylor expansion of n in k 0.891 * [backup-simplify]: Simplify n into n 0.891 * [backup-simplify]: Simplify (log n) into (log n) 0.891 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.891 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.891 * [taylor]: Taking taylor expansion of 2 in k 0.891 * [backup-simplify]: Simplify 2 into 2 0.891 * [taylor]: Taking taylor expansion of PI in k 0.891 * [backup-simplify]: Simplify PI into PI 0.891 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.892 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.892 * [backup-simplify]: Simplify (- 0) into 0 0.892 * [backup-simplify]: Simplify (+ 1 0) into 1 0.893 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.893 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 0.894 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 0.895 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0.895 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.895 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.895 * [taylor]: Taking taylor expansion of k in k 0.895 * [backup-simplify]: Simplify 0 into 0 0.895 * [backup-simplify]: Simplify 1 into 1 0.895 * [backup-simplify]: Simplify (/ 1 1) into 1 0.895 * [backup-simplify]: Simplify (sqrt 0) into 0 0.896 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.897 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 0.897 * [backup-simplify]: Simplify 0 into 0 0.897 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 0.898 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 0.899 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.899 * [backup-simplify]: Simplify (- 0) into 0 0.899 * [backup-simplify]: Simplify (+ 0 0) into 0 0.900 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 0.901 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.901 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 0.902 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.903 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (* 0 (sqrt (/ 1 k)))) into 0 0.903 * [taylor]: Taking taylor expansion of 0 in k 0.903 * [backup-simplify]: Simplify 0 into 0 0.904 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 0.904 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 0.905 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.906 * [backup-simplify]: Simplify (+ 0 0) into 0 0.906 * [backup-simplify]: Simplify (- 1) into -1 0.906 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.908 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 0.910 * [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))))) 0.913 * [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))))))) 0.917 * [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))))))) 0.918 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0.918 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.919 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 0.920 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 0.921 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 0.924 * [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 0.925 * [backup-simplify]: Simplify (- 0) into 0 0.925 * [backup-simplify]: Simplify (+ 0 0) into 0 0.926 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 0.928 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.929 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.932 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.933 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0 0.933 * [taylor]: Taking taylor expansion of 0 in k 0.933 * [backup-simplify]: Simplify 0 into 0 0.933 * [backup-simplify]: Simplify 0 into 0 0.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.937 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.939 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 0.940 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 0.943 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 0.944 * [backup-simplify]: Simplify (+ 0 0) into 0 0.944 * [backup-simplify]: Simplify (- 0) into 0 0.945 * [backup-simplify]: Simplify (+ 0 0) into 0 0.949 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.951 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.953 * [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))))) 0.958 * [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)))))))) 0.961 * [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)))))))) 0.961 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.962 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 0.962 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.963 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 0.966 * [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 0.967 * [backup-simplify]: Simplify (- 0) into 0 0.967 * [backup-simplify]: Simplify (+ 0 0) into 0 0.968 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 k))))) into 0 0.969 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.970 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 0.971 * [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 0.972 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0 0.972 * [taylor]: Taking taylor expansion of 0 in k 0.972 * [backup-simplify]: Simplify 0 into 0 0.972 * [backup-simplify]: Simplify 0 into 0 0.972 * [backup-simplify]: Simplify 0 into 0 0.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.975 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.977 * [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 0.978 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.981 * [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 0.981 * [backup-simplify]: Simplify (+ 0 0) into 0 0.981 * [backup-simplify]: Simplify (- 0) into 0 0.982 * [backup-simplify]: Simplify (+ 0 0) into 0 0.984 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 0.987 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 0.993 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 3) 6)) (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (pow (log n) 2) (log (* 2 PI)))) (+ (* 1/16 (* (log n) (pow (log (* 2 PI)) 2))) (* 1/48 (pow (log (* 2 PI)) 3))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 1.009 * [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)))))))))))))) 1.020 * [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)))))))))))))) 1.038 * [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)))))))))))))))))))))) 1.039 * [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)) 1.039 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (n k) around 0 1.039 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 1.039 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 1.039 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1.039 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1.039 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 1.039 * [taylor]: Taking taylor expansion of 1/2 in k 1.039 * [backup-simplify]: Simplify 1/2 into 1/2 1.039 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 1.039 * [taylor]: Taking taylor expansion of 1 in k 1.039 * [backup-simplify]: Simplify 1 into 1 1.039 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.039 * [taylor]: Taking taylor expansion of k in k 1.039 * [backup-simplify]: Simplify 0 into 0 1.039 * [backup-simplify]: Simplify 1 into 1 1.040 * [backup-simplify]: Simplify (/ 1 1) into 1 1.040 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1.040 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 1.040 * [taylor]: Taking taylor expansion of 2 in k 1.040 * [backup-simplify]: Simplify 2 into 2 1.040 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.040 * [taylor]: Taking taylor expansion of PI in k 1.040 * [backup-simplify]: Simplify PI into PI 1.040 * [taylor]: Taking taylor expansion of n in k 1.040 * [backup-simplify]: Simplify n into n 1.040 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.040 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1.040 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1.040 * [backup-simplify]: Simplify (- 1) into -1 1.041 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.041 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 1.041 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1.042 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 1.042 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.042 * [taylor]: Taking taylor expansion of k in k 1.042 * [backup-simplify]: Simplify 0 into 0 1.042 * [backup-simplify]: Simplify 1 into 1 1.042 * [backup-simplify]: Simplify (sqrt 0) into 0 1.044 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.044 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 1.044 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 1.044 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1.044 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1.044 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 1.044 * [taylor]: Taking taylor expansion of 1/2 in n 1.044 * [backup-simplify]: Simplify 1/2 into 1/2 1.044 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 1.044 * [taylor]: Taking taylor expansion of 1 in n 1.044 * [backup-simplify]: Simplify 1 into 1 1.044 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.044 * [taylor]: Taking taylor expansion of k in n 1.044 * [backup-simplify]: Simplify k into k 1.044 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.044 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.044 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.044 * [taylor]: Taking taylor expansion of 2 in n 1.044 * [backup-simplify]: Simplify 2 into 2 1.044 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.044 * [taylor]: Taking taylor expansion of PI in n 1.044 * [backup-simplify]: Simplify PI into PI 1.044 * [taylor]: Taking taylor expansion of n in n 1.044 * [backup-simplify]: Simplify 0 into 0 1.044 * [backup-simplify]: Simplify 1 into 1 1.045 * [backup-simplify]: Simplify (/ PI 1) into PI 1.045 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.046 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.046 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.046 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1.046 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 1.047 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.048 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 1.048 * [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))))) 1.048 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.048 * [taylor]: Taking taylor expansion of k in n 1.048 * [backup-simplify]: Simplify k into k 1.048 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 1.048 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 1.048 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 1.048 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 1.049 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1.049 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1.049 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 1.049 * [taylor]: Taking taylor expansion of 1/2 in n 1.049 * [backup-simplify]: Simplify 1/2 into 1/2 1.049 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 1.049 * [taylor]: Taking taylor expansion of 1 in n 1.049 * [backup-simplify]: Simplify 1 into 1 1.049 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.049 * [taylor]: Taking taylor expansion of k in n 1.049 * [backup-simplify]: Simplify k into k 1.049 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.049 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.049 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.049 * [taylor]: Taking taylor expansion of 2 in n 1.049 * [backup-simplify]: Simplify 2 into 2 1.049 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.049 * [taylor]: Taking taylor expansion of PI in n 1.049 * [backup-simplify]: Simplify PI into PI 1.049 * [taylor]: Taking taylor expansion of n in n 1.049 * [backup-simplify]: Simplify 0 into 0 1.049 * [backup-simplify]: Simplify 1 into 1 1.049 * [backup-simplify]: Simplify (/ PI 1) into PI 1.049 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.050 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.050 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.050 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1.050 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 1.051 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.052 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 1.052 * [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))))) 1.052 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.052 * [taylor]: Taking taylor expansion of k in n 1.052 * [backup-simplify]: Simplify k into k 1.052 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 1.052 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 1.055 * [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)) 1.055 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) in k 1.055 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 1.055 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 1.055 * [taylor]: Taking taylor expansion of 1/2 in k 1.055 * [backup-simplify]: Simplify 1/2 into 1/2 1.055 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 1.055 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 1.055 * [taylor]: Taking taylor expansion of 1 in k 1.055 * [backup-simplify]: Simplify 1 into 1 1.055 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.055 * [taylor]: Taking taylor expansion of k in k 1.055 * [backup-simplify]: Simplify 0 into 0 1.055 * [backup-simplify]: Simplify 1 into 1 1.056 * [backup-simplify]: Simplify (/ 1 1) into 1 1.056 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1.056 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 1.056 * [taylor]: Taking taylor expansion of (* 2 PI) in k 1.056 * [taylor]: Taking taylor expansion of 2 in k 1.056 * [backup-simplify]: Simplify 2 into 2 1.056 * [taylor]: Taking taylor expansion of PI in k 1.056 * [backup-simplify]: Simplify PI into PI 1.056 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.057 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.057 * [taylor]: Taking taylor expansion of (log n) in k 1.057 * [taylor]: Taking taylor expansion of n in k 1.057 * [backup-simplify]: Simplify n into n 1.057 * [backup-simplify]: Simplify (log n) into (log n) 1.057 * [backup-simplify]: Simplify (- 1) into -1 1.057 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.057 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 1.058 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1.058 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 1.059 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1.060 * [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))))) 1.060 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.060 * [taylor]: Taking taylor expansion of k in k 1.060 * [backup-simplify]: Simplify 0 into 0 1.060 * [backup-simplify]: Simplify 1 into 1 1.060 * [backup-simplify]: Simplify (sqrt 0) into 0 1.061 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.061 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) into 0 1.061 * [backup-simplify]: Simplify 0 into 0 1.062 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.062 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 1.063 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1.063 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.064 * [backup-simplify]: Simplify (- 0) into 0 1.064 * [backup-simplify]: Simplify (+ 0 0) into 0 1.064 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 1.065 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.066 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1.067 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.067 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (* 0 (sqrt k))) into 0 1.067 * [taylor]: Taking taylor expansion of 0 in k 1.067 * [backup-simplify]: Simplify 0 into 0 1.067 * [backup-simplify]: Simplify 0 into 0 1.068 * [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))))))) 1.069 * [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))))))) 1.070 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1.070 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.071 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1.072 * [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 1.072 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.073 * [backup-simplify]: Simplify (- 0) into 0 1.073 * [backup-simplify]: Simplify (+ 0 0) into 0 1.073 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 1.074 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.075 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1.076 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.078 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0 1.078 * [taylor]: Taking taylor expansion of 0 in k 1.078 * [backup-simplify]: Simplify 0 into 0 1.078 * [backup-simplify]: Simplify 0 into 0 1.078 * [backup-simplify]: Simplify 0 into 0 1.081 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 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 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))))))) 1.085 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1.086 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.087 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.094 * [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 1.094 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.094 * [backup-simplify]: Simplify (- 0) into 0 1.095 * [backup-simplify]: Simplify (+ 0 0) into 0 1.096 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 1.098 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.100 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1.102 * [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 1.104 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0 1.105 * [taylor]: Taking taylor expansion of 0 in k 1.105 * [backup-simplify]: Simplify 0 into 0 1.105 * [backup-simplify]: Simplify 0 into 0 1.105 * [backup-simplify]: Simplify 0 into 0 1.105 * [backup-simplify]: Simplify 0 into 0 1.109 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.111 * [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))))))) 1.112 * [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))))))) 1.116 * [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)))))))) 1.117 * [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))) 1.117 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (n k) around 0 1.117 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 1.117 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 1.117 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 1.117 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 1.117 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 1.117 * [taylor]: Taking taylor expansion of 1/2 in k 1.117 * [backup-simplify]: Simplify 1/2 into 1/2 1.117 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 1.117 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.117 * [taylor]: Taking taylor expansion of k in k 1.117 * [backup-simplify]: Simplify 0 into 0 1.117 * [backup-simplify]: Simplify 1 into 1 1.118 * [backup-simplify]: Simplify (/ 1 1) into 1 1.118 * [taylor]: Taking taylor expansion of 1 in k 1.118 * [backup-simplify]: Simplify 1 into 1 1.118 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1.118 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 1.118 * [taylor]: Taking taylor expansion of -2 in k 1.118 * [backup-simplify]: Simplify -2 into -2 1.118 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.118 * [taylor]: Taking taylor expansion of PI in k 1.118 * [backup-simplify]: Simplify PI into PI 1.118 * [taylor]: Taking taylor expansion of n in k 1.118 * [backup-simplify]: Simplify n into n 1.118 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.118 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1.118 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1.119 * [backup-simplify]: Simplify (+ 1 0) into 1 1.119 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.119 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1.119 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 1.119 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.120 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.120 * [taylor]: Taking taylor expansion of -1 in k 1.120 * [backup-simplify]: Simplify -1 into -1 1.120 * [taylor]: Taking taylor expansion of k in k 1.120 * [backup-simplify]: Simplify 0 into 0 1.120 * [backup-simplify]: Simplify 1 into 1 1.120 * [backup-simplify]: Simplify (/ -1 1) into -1 1.120 * [backup-simplify]: Simplify (sqrt 0) into 0 1.122 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.122 * [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))))) 1.122 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 1.122 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 1.122 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 1.122 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 1.122 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 1.122 * [taylor]: Taking taylor expansion of 1/2 in n 1.122 * [backup-simplify]: Simplify 1/2 into 1/2 1.122 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 1.122 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.122 * [taylor]: Taking taylor expansion of k in n 1.122 * [backup-simplify]: Simplify k into k 1.122 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.123 * [taylor]: Taking taylor expansion of 1 in n 1.123 * [backup-simplify]: Simplify 1 into 1 1.123 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.123 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.123 * [taylor]: Taking taylor expansion of -2 in n 1.123 * [backup-simplify]: Simplify -2 into -2 1.123 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.123 * [taylor]: Taking taylor expansion of PI in n 1.123 * [backup-simplify]: Simplify PI into PI 1.123 * [taylor]: Taking taylor expansion of n in n 1.123 * [backup-simplify]: Simplify 0 into 0 1.123 * [backup-simplify]: Simplify 1 into 1 1.123 * [backup-simplify]: Simplify (/ PI 1) into PI 1.124 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.125 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.125 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1.125 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 1.126 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.127 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 1.128 * [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))))) 1.128 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.128 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.128 * [taylor]: Taking taylor expansion of -1 in n 1.129 * [backup-simplify]: Simplify -1 into -1 1.129 * [taylor]: Taking taylor expansion of k in n 1.129 * [backup-simplify]: Simplify k into k 1.129 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 1.129 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1.129 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1.129 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1.130 * [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))) 1.130 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 1.130 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 1.130 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 1.130 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 1.130 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 1.130 * [taylor]: Taking taylor expansion of 1/2 in n 1.130 * [backup-simplify]: Simplify 1/2 into 1/2 1.130 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 1.130 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.130 * [taylor]: Taking taylor expansion of k in n 1.130 * [backup-simplify]: Simplify k into k 1.130 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.130 * [taylor]: Taking taylor expansion of 1 in n 1.130 * [backup-simplify]: Simplify 1 into 1 1.131 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.131 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.131 * [taylor]: Taking taylor expansion of -2 in n 1.131 * [backup-simplify]: Simplify -2 into -2 1.131 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.131 * [taylor]: Taking taylor expansion of PI in n 1.131 * [backup-simplify]: Simplify PI into PI 1.131 * [taylor]: Taking taylor expansion of n in n 1.131 * [backup-simplify]: Simplify 0 into 0 1.131 * [backup-simplify]: Simplify 1 into 1 1.131 * [backup-simplify]: Simplify (/ PI 1) into PI 1.132 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.133 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.133 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1.133 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 1.134 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.135 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 1.136 * [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))))) 1.136 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.136 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.136 * [taylor]: Taking taylor expansion of -1 in n 1.136 * [backup-simplify]: Simplify -1 into -1 1.136 * [taylor]: Taking taylor expansion of k in n 1.136 * [backup-simplify]: Simplify k into k 1.136 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 1.137 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1.137 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1.137 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1.138 * [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))) 1.138 * [taylor]: Taking taylor expansion of (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) in k 1.138 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 1.138 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 1.138 * [taylor]: Taking taylor expansion of 1/2 in k 1.138 * [backup-simplify]: Simplify 1/2 into 1/2 1.138 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 1.138 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 1.138 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.139 * [taylor]: Taking taylor expansion of k in k 1.139 * [backup-simplify]: Simplify 0 into 0 1.139 * [backup-simplify]: Simplify 1 into 1 1.139 * [backup-simplify]: Simplify (/ 1 1) into 1 1.139 * [taylor]: Taking taylor expansion of 1 in k 1.139 * [backup-simplify]: Simplify 1 into 1 1.139 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1.139 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 1.139 * [taylor]: Taking taylor expansion of (* -2 PI) in k 1.139 * [taylor]: Taking taylor expansion of -2 in k 1.139 * [backup-simplify]: Simplify -2 into -2 1.139 * [taylor]: Taking taylor expansion of PI in k 1.139 * [backup-simplify]: Simplify PI into PI 1.140 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.141 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.141 * [taylor]: Taking taylor expansion of (log n) in k 1.141 * [taylor]: Taking taylor expansion of n in k 1.141 * [backup-simplify]: Simplify n into n 1.141 * [backup-simplify]: Simplify (log n) into (log n) 1.141 * [backup-simplify]: Simplify (+ 1 0) into 1 1.141 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 1.142 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1.143 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 1.144 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1.145 * [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))))) 1.145 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.145 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.145 * [taylor]: Taking taylor expansion of -1 in k 1.145 * [backup-simplify]: Simplify -1 into -1 1.145 * [taylor]: Taking taylor expansion of k in k 1.145 * [backup-simplify]: Simplify 0 into 0 1.145 * [backup-simplify]: Simplify 1 into 1 1.146 * [backup-simplify]: Simplify (/ -1 1) into -1 1.146 * [backup-simplify]: Simplify (sqrt 0) into 0 1.147 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.148 * [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)))))) 1.150 * [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)))))) 1.151 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.151 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 1.153 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1.153 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.154 * [backup-simplify]: Simplify (+ 0 0) into 0 1.154 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 1.155 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.157 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1.159 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.160 * [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 1.160 * [taylor]: Taking taylor expansion of 0 in k 1.160 * [backup-simplify]: Simplify 0 into 0 1.160 * [backup-simplify]: Simplify 0 into 0 1.161 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.164 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.166 * [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))))))) 1.167 * [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))))))) 1.168 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.169 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1.173 * [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 1.173 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.174 * [backup-simplify]: Simplify (+ 0 0) into 0 1.174 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 1.176 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.177 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1.182 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.183 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.184 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1.185 * [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 1.185 * [taylor]: Taking taylor expansion of 0 in k 1.185 * [backup-simplify]: Simplify 0 into 0 1.185 * [backup-simplify]: Simplify 0 into 0 1.185 * [backup-simplify]: Simplify 0 into 0 1.186 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.190 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.194 * [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))))))) 1.195 * [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))))))) 1.198 * [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)))))))))))) 1.199 * * * [progress]: simplifying candidates 1.199 * * * * [progress]: [ 1 / 127 ] simplifiying candidate # 1.199 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) 1.199 * * [simplify]: iters left: 6 (13 enodes) 1.203 * * [simplify]: iters left: 5 (54 enodes) 1.212 * * [simplify]: iters left: 4 (97 enodes) 1.239 * * [simplify]: iters left: 3 (242 enodes) 1.332 * * [simplify]: Extracting #0: cost 1 inf + 0 1.332 * * [simplify]: Extracting #1: cost 28 inf + 0 1.332 * * [simplify]: Extracting #2: cost 93 inf + 2 1.333 * * [simplify]: Extracting #3: cost 139 inf + 75 1.335 * * [simplify]: Extracting #4: cost 102 inf + 5195 1.344 * * [simplify]: Extracting #5: cost 14 inf + 28777 1.356 * * [simplify]: Extracting #6: cost 0 inf + 33789 1.370 * [simplify]: Simplified to (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2) 1.370 * [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))) 1.370 * * * * [progress]: [ 2 / 127 ] simplifiying candidate # 1.371 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) 1.371 * * [simplify]: iters left: 6 (12 enodes) 1.378 * * [simplify]: iters left: 5 (52 enodes) 1.396 * * [simplify]: iters left: 4 (90 enodes) 1.433 * * [simplify]: iters left: 3 (201 enodes) 1.499 * * [simplify]: iters left: 2 (496 enodes) 1.755 * * [simplify]: Extracting #0: cost 1 inf + 0 1.755 * * [simplify]: Extracting #1: cost 22 inf + 0 1.756 * * [simplify]: Extracting #2: cost 122 inf + 2 1.757 * * [simplify]: Extracting #3: cost 296 inf + 186 1.759 * * [simplify]: Extracting #4: cost 252 inf + 7310 1.768 * * [simplify]: Extracting #5: cost 66 inf + 59079 1.796 * * [simplify]: Extracting #6: cost 1 inf + 82178 1.830 * * [simplify]: Extracting #7: cost 0 inf + 82436 1.868 * [simplify]: Simplified to (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) 1.868 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2)) (sqrt k))) 1.868 * * * * [progress]: [ 3 / 127 ] simplifiying candidate # 1.868 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) 1.869 * * [simplify]: iters left: 6 (11 enodes) 1.876 * * [simplify]: iters left: 5 (51 enodes) 1.893 * * [simplify]: iters left: 4 (97 enodes) 1.927 * * [simplify]: iters left: 3 (197 enodes) 2.016 * * [simplify]: iters left: 2 (491 enodes) 2.289 * * [simplify]: Extracting #0: cost 1 inf + 0 2.289 * * [simplify]: Extracting #1: cost 27 inf + 0 2.289 * * [simplify]: Extracting #2: cost 139 inf + 2 2.290 * * [simplify]: Extracting #3: cost 300 inf + 382 2.293 * * [simplify]: Extracting #4: cost 242 inf + 10228 2.306 * * [simplify]: Extracting #5: cost 53 inf + 57829 2.328 * * [simplify]: Extracting #6: cost 2 inf + 73504 2.343 * * [simplify]: Extracting #7: cost 0 inf + 74187 2.366 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) 2.366 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) (sqrt k))) 2.366 * * * * [progress]: [ 4 / 127 ] simplifiying candidate # 2.366 * * * * [progress]: [ 5 / 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) 2.375 * * [simplify]: iters left: 2 (27 enodes) 2.379 * * [simplify]: iters left: 1 (32 enodes) 2.383 * * [simplify]: Extracting #0: cost 1 inf + 0 2.383 * * [simplify]: Extracting #1: cost 8 inf + 0 2.383 * * [simplify]: Extracting #2: cost 7 inf + 45 2.383 * * [simplify]: Extracting #3: cost 0 inf + 421 2.384 * [simplify]: Simplified to (* (* PI 2) n) 2.384 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (sqrt k))) 2.384 * * * * [progress]: [ 6 / 127 ] simplifiying candidate # 2.384 * [simplify]: Simplifying (* n (* 2 PI)) 2.384 * * [simplify]: iters left: 4 (5 enodes) 2.385 * * [simplify]: iters left: 3 (19 enodes) 2.389 * * [simplify]: iters left: 2 (27 enodes) 2.394 * * [simplify]: iters left: 1 (32 enodes) 2.399 * * [simplify]: Extracting #0: cost 1 inf + 0 2.399 * * [simplify]: Extracting #1: cost 8 inf + 0 2.399 * * [simplify]: Extracting #2: cost 7 inf + 45 2.399 * * [simplify]: Extracting #3: cost 0 inf + 421 2.400 * [simplify]: Simplified to (* (* PI 2) n) 2.400 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (sqrt k))) 2.400 * * * * [progress]: [ 7 / 127 ] simplifiying candidate # 2.400 * [simplify]: Simplifying (* n (* 2 PI)) 2.400 * * [simplify]: iters left: 4 (5 enodes) 2.403 * * [simplify]: iters left: 3 (19 enodes) 2.409 * * [simplify]: iters left: 2 (27 enodes) 2.418 * * [simplify]: iters left: 1 (32 enodes) 2.426 * * [simplify]: Extracting #0: cost 1 inf + 0 2.426 * * [simplify]: Extracting #1: cost 8 inf + 0 2.426 * * [simplify]: Extracting #2: cost 7 inf + 45 2.427 * * [simplify]: Extracting #3: cost 0 inf + 421 2.427 * [simplify]: Simplified to (* (* PI 2) n) 2.427 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (sqrt k))) 2.427 * * * * [progress]: [ 8 / 127 ] simplifiying candidate # 2.427 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ k 2)) 2.428 * * [simplify]: iters left: 5 (8 enodes) 2.432 * * [simplify]: iters left: 4 (31 enodes) 2.442 * * [simplify]: iters left: 3 (51 enodes) 2.458 * * [simplify]: iters left: 2 (85 enodes) 2.487 * * [simplify]: iters left: 1 (152 enodes) 2.533 * * [simplify]: Extracting #0: cost 1 inf + 0 2.533 * * [simplify]: Extracting #1: cost 13 inf + 0 2.533 * * [simplify]: Extracting #2: cost 59 inf + 1 2.533 * * [simplify]: Extracting #3: cost 76 inf + 9 2.534 * * [simplify]: Extracting #4: cost 41 inf + 3303 2.536 * * [simplify]: Extracting #5: cost 16 inf + 10676 2.538 * * [simplify]: Extracting #6: cost 0 inf + 21028 2.541 * * [simplify]: Extracting #7: cost 0 inf + 20456 2.544 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 2.544 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt k))) 2.544 * * * * [progress]: [ 9 / 127 ] simplifiying candidate # 2.544 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2)) 2.544 * * [simplify]: iters left: 5 (6 enodes) 2.546 * * [simplify]: iters left: 4 (26 enodes) 2.552 * * [simplify]: iters left: 3 (35 enodes) 2.558 * * [simplify]: Extracting #0: cost 1 inf + 0 2.558 * * [simplify]: Extracting #1: cost 3 inf + 0 2.558 * * [simplify]: Extracting #2: cost 8 inf + 0 2.558 * * [simplify]: Extracting #3: cost 11 inf + 2 2.558 * * [simplify]: Extracting #4: cost 8 inf + 87 2.558 * * [simplify]: Extracting #5: cost 2 inf + 500 2.558 * * [simplify]: Extracting #6: cost 0 inf + 746 2.558 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2)) 2.558 * [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))) 2.559 * * * * [progress]: [ 10 / 127 ] simplifiying candidate # 2.559 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2)) 2.559 * * [simplify]: iters left: 5 (6 enodes) 2.561 * * [simplify]: iters left: 4 (26 enodes) 2.565 * * [simplify]: iters left: 3 (35 enodes) 2.571 * * [simplify]: Extracting #0: cost 1 inf + 0 2.571 * * [simplify]: Extracting #1: cost 3 inf + 0 2.571 * * [simplify]: Extracting #2: cost 8 inf + 0 2.571 * * [simplify]: Extracting #3: cost 11 inf + 2 2.571 * * [simplify]: Extracting #4: cost 8 inf + 87 2.571 * * [simplify]: Extracting #5: cost 2 inf + 460 2.571 * * [simplify]: Extracting #6: cost 0 inf + 666 2.571 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2)) 2.571 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))) (sqrt k))) 2.571 * * * * [progress]: [ 11 / 127 ] simplifiying candidate # 2.572 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2)) 2.572 * * [simplify]: iters left: 5 (7 enodes) 2.575 * * [simplify]: iters left: 4 (25 enodes) 2.579 * * [simplify]: iters left: 3 (30 enodes) 2.584 * * [simplify]: Extracting #0: cost 1 inf + 0 2.584 * * [simplify]: Extracting #1: cost 4 inf + 0 2.584 * * [simplify]: Extracting #2: cost 8 inf + 0 2.584 * * [simplify]: Extracting #3: cost 10 inf + 82 2.584 * * [simplify]: Extracting #4: cost 7 inf + 206 2.584 * * [simplify]: Extracting #5: cost 2 inf + 575 2.584 * * [simplify]: Extracting #6: cost 1 inf + 818 2.584 * * [simplify]: Extracting #7: cost 0 inf + 1061 2.584 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2)) 2.584 * [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))) 2.584 * * * * [progress]: [ 12 / 127 ] simplifiying candidate # 2.585 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2)) 2.585 * * [simplify]: iters left: 5 (7 enodes) 2.587 * * [simplify]: iters left: 4 (25 enodes) 2.593 * * [simplify]: iters left: 3 (30 enodes) 2.602 * * [simplify]: Extracting #0: cost 1 inf + 0 2.602 * * [simplify]: Extracting #1: cost 4 inf + 0 2.602 * * [simplify]: Extracting #2: cost 8 inf + 0 2.602 * * [simplify]: Extracting #3: cost 10 inf + 42 2.602 * * [simplify]: Extracting #4: cost 7 inf + 126 2.603 * * [simplify]: Extracting #5: cost 2 inf + 495 2.603 * * [simplify]: Extracting #6: cost 1 inf + 698 2.603 * * [simplify]: Extracting #7: cost 0 inf + 901 2.604 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2)) 2.604 * [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))) 2.604 * * * * [progress]: [ 13 / 127 ] simplifiying candidate # 2.604 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2) 2.604 * * [simplify]: iters left: 5 (6 enodes) 2.607 * * [simplify]: iters left: 4 (22 enodes) 2.614 * * [simplify]: iters left: 3 (27 enodes) 2.623 * * [simplify]: Extracting #0: cost 1 inf + 0 2.623 * * [simplify]: Extracting #1: cost 4 inf + 0 2.623 * * [simplify]: Extracting #2: cost 5 inf + 1 2.623 * * [simplify]: Extracting #3: cost 9 inf + 1 2.623 * * [simplify]: Extracting #4: cost 8 inf + 3 2.623 * * [simplify]: Extracting #5: cost 4 inf + 169 2.624 * * [simplify]: Extracting #6: cost 1 inf + 576 2.624 * * [simplify]: Extracting #7: cost 0 inf + 739 2.624 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 2.624 * [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))) 2.624 * * * * [progress]: [ 14 / 127 ] simplifiying candidate # 2.625 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2)) 2.625 * * [simplify]: iters left: 5 (7 enodes) 2.631 * * [simplify]: iters left: 4 (25 enodes) 2.640 * * [simplify]: iters left: 3 (30 enodes) 2.649 * * [simplify]: Extracting #0: cost 1 inf + 0 2.649 * * [simplify]: Extracting #1: cost 4 inf + 0 2.649 * * [simplify]: Extracting #2: cost 8 inf + 0 2.649 * * [simplify]: Extracting #3: cost 10 inf + 82 2.649 * * [simplify]: Extracting #4: cost 7 inf + 206 2.650 * * [simplify]: Extracting #5: cost 2 inf + 495 2.650 * * [simplify]: Extracting #6: cost 1 inf + 698 2.650 * * [simplify]: Extracting #7: cost 0 inf + 901 2.650 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2)) 2.651 * [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))) 2.651 * * * * [progress]: [ 15 / 127 ] simplifiying candidate # 2.651 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2)) 2.651 * * [simplify]: iters left: 5 (7 enodes) 2.655 * * [simplify]: iters left: 4 (25 enodes) 2.664 * * [simplify]: iters left: 3 (30 enodes) 2.671 * * [simplify]: Extracting #0: cost 1 inf + 0 2.671 * * [simplify]: Extracting #1: cost 4 inf + 0 2.672 * * [simplify]: Extracting #2: cost 8 inf + 0 2.672 * * [simplify]: Extracting #3: cost 10 inf + 42 2.672 * * [simplify]: Extracting #4: cost 7 inf + 126 2.672 * * [simplify]: Extracting #5: cost 2 inf + 415 2.672 * * [simplify]: Extracting #6: cost 1 inf + 578 2.672 * * [simplify]: Extracting #7: cost 0 inf + 741 2.672 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2)) 2.672 * [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))) 2.672 * * * * [progress]: [ 16 / 127 ] simplifiying candidate # 2.673 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2) 2.673 * * [simplify]: iters left: 5 (6 enodes) 2.674 * * [simplify]: iters left: 4 (22 enodes) 2.678 * * [simplify]: iters left: 3 (27 enodes) 2.682 * * [simplify]: Extracting #0: cost 1 inf + 0 2.682 * * [simplify]: Extracting #1: cost 4 inf + 0 2.682 * * [simplify]: Extracting #2: cost 5 inf + 1 2.682 * * [simplify]: Extracting #3: cost 9 inf + 1 2.682 * * [simplify]: Extracting #4: cost 8 inf + 3 2.683 * * [simplify]: Extracting #5: cost 4 inf + 169 2.683 * * [simplify]: Extracting #6: cost 1 inf + 456 2.683 * * [simplify]: Extracting #7: cost 0 inf + 579 2.683 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 2.683 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)) (sqrt k))) 2.683 * * * * [progress]: [ 17 / 127 ] simplifiying candidate # 2.683 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 2.683 * * [simplify]: iters left: 4 (6 enodes) 2.686 * * [simplify]: iters left: 3 (25 enodes) 2.690 * * [simplify]: iters left: 2 (36 enodes) 2.696 * * [simplify]: iters left: 1 (40 enodes) 2.703 * * [simplify]: Extracting #0: cost 1 inf + 0 2.703 * * [simplify]: Extracting #1: cost 7 inf + 0 2.703 * * [simplify]: Extracting #2: cost 16 inf + 0 2.703 * * [simplify]: Extracting #3: cost 13 inf + 44 2.703 * * [simplify]: Extracting #4: cost 3 inf + 1103 2.704 * * [simplify]: Extracting #5: cost 0 inf + 1469 2.704 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 2.704 * [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))) 2.704 * * * * [progress]: [ 18 / 127 ] simplifiying candidate # 2.705 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 2.705 * * [simplify]: iters left: 4 (6 enodes) 2.709 * * [simplify]: iters left: 3 (25 enodes) 2.717 * * [simplify]: iters left: 2 (36 enodes) 2.728 * * [simplify]: iters left: 1 (40 enodes) 2.741 * * [simplify]: Extracting #0: cost 1 inf + 0 2.741 * * [simplify]: Extracting #1: cost 7 inf + 0 2.741 * * [simplify]: Extracting #2: cost 16 inf + 0 2.741 * * [simplify]: Extracting #3: cost 13 inf + 44 2.741 * * [simplify]: Extracting #4: cost 3 inf + 823 2.742 * * [simplify]: Extracting #5: cost 0 inf + 1069 2.742 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 2.742 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt k))) 2.743 * * * * [progress]: [ 19 / 127 ] simplifiying candidate # 2.743 * [simplify]: Simplifying (/ (- 1 k) 2) 2.743 * * [simplify]: iters left: 4 (5 enodes) 2.746 * * [simplify]: iters left: 3 (23 enodes) 2.754 * * [simplify]: iters left: 2 (32 enodes) 2.766 * * [simplify]: Extracting #0: cost 1 inf + 0 2.766 * * [simplify]: Extracting #1: cost 6 inf + 0 2.766 * * [simplify]: Extracting #2: cost 9 inf + 2 2.766 * * [simplify]: Extracting #3: cost 6 inf + 87 2.766 * * [simplify]: Extracting #4: cost 0 inf + 420 2.766 * [simplify]: Simplified to (/ (- 1 k) 2) 2.766 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (sqrt k))) 2.767 * * * * [progress]: [ 20 / 127 ] simplifiying candidate # 2.767 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2.767 * * [simplify]: iters left: 5 (8 enodes) 2.772 * * [simplify]: iters left: 4 (31 enodes) 2.782 * * [simplify]: iters left: 3 (45 enodes) 2.795 * * [simplify]: iters left: 2 (51 enodes) 2.809 * * [simplify]: iters left: 1 (52 enodes) 2.824 * * [simplify]: Extracting #0: cost 1 inf + 0 2.824 * * [simplify]: Extracting #1: cost 8 inf + 0 2.824 * * [simplify]: Extracting #2: cost 18 inf + 0 2.824 * * [simplify]: Extracting #3: cost 19 inf + 2 2.825 * * [simplify]: Extracting #4: cost 9 inf + 977 2.825 * * [simplify]: Extracting #5: cost 2 inf + 1790 2.826 * * [simplify]: Extracting #6: cost 0 inf + 2195 2.827 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 2.827 * [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))) 2.827 * * * * [progress]: [ 21 / 127 ] simplifiying candidate # 2.828 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2.828 * * [simplify]: iters left: 5 (8 enodes) 2.833 * * [simplify]: iters left: 4 (31 enodes) 2.843 * * [simplify]: iters left: 3 (45 enodes) 2.855 * * [simplify]: iters left: 2 (51 enodes) 2.869 * * [simplify]: iters left: 1 (52 enodes) 2.884 * * [simplify]: Extracting #0: cost 1 inf + 0 2.884 * * [simplify]: Extracting #1: cost 8 inf + 0 2.884 * * [simplify]: Extracting #2: cost 18 inf + 0 2.884 * * [simplify]: Extracting #3: cost 19 inf + 2 2.884 * * [simplify]: Extracting #4: cost 9 inf + 697 2.885 * * [simplify]: Extracting #5: cost 2 inf + 1390 2.886 * * [simplify]: Extracting #6: cost 0 inf + 1715 2.886 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 2.886 * [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))) 2.886 * * * * [progress]: [ 22 / 127 ] simplifiying candidate # 2.887 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 2.887 * * [simplify]: iters left: 5 (7 enodes) 2.892 * * [simplify]: iters left: 4 (29 enodes) 2.902 * * [simplify]: iters left: 3 (43 enodes) 2.914 * * [simplify]: iters left: 2 (47 enodes) 2.929 * * [simplify]: Extracting #0: cost 1 inf + 0 2.929 * * [simplify]: Extracting #1: cost 7 inf + 0 2.929 * * [simplify]: Extracting #2: cost 11 inf + 2 2.929 * * [simplify]: Extracting #3: cost 13 inf + 3 2.929 * * [simplify]: Extracting #4: cost 11 inf + 45 2.929 * * [simplify]: Extracting #5: cost 0 inf + 1066 2.930 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 2.930 * [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))) 2.930 * * * * [progress]: [ 23 / 127 ] simplifiying candidate # 2.930 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 2.930 * * [simplify]: iters left: 5 (7 enodes) 2.935 * * [simplify]: iters left: 4 (28 enodes) 2.944 * * [simplify]: iters left: 3 (39 enodes) 2.956 * * [simplify]: iters left: 2 (43 enodes) 2.966 * * [simplify]: Extracting #0: cost 1 inf + 0 2.966 * * [simplify]: Extracting #1: cost 7 inf + 0 2.966 * * [simplify]: Extracting #2: cost 16 inf + 0 2.966 * * [simplify]: Extracting #3: cost 15 inf + 164 2.966 * * [simplify]: Extracting #4: cost 13 inf + 287 2.966 * * [simplify]: Extracting #5: cost 5 inf + 1180 2.966 * * [simplify]: Extracting #6: cost 0 inf + 1951 2.967 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 2.967 * [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))) 2.967 * * * * [progress]: [ 24 / 127 ] simplifiying candidate # 2.967 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 2.967 * * [simplify]: iters left: 5 (7 enodes) 2.969 * * [simplify]: iters left: 4 (28 enodes) 2.974 * * [simplify]: iters left: 3 (39 enodes) 2.981 * * [simplify]: iters left: 2 (43 enodes) 2.988 * * [simplify]: Extracting #0: cost 1 inf + 0 2.988 * * [simplify]: Extracting #1: cost 7 inf + 0 2.988 * * [simplify]: Extracting #2: cost 16 inf + 0 2.988 * * [simplify]: Extracting #3: cost 15 inf + 84 2.988 * * [simplify]: Extracting #4: cost 13 inf + 167 2.988 * * [simplify]: Extracting #5: cost 5 inf + 900 2.989 * * [simplify]: Extracting #6: cost 0 inf + 1551 2.989 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 2.989 * [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))) 2.989 * * * * [progress]: [ 25 / 127 ] simplifiying candidate # 2.989 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 2.989 * * [simplify]: iters left: 5 (6 enodes) 2.992 * * [simplify]: iters left: 4 (26 enodes) 2.996 * * [simplify]: iters left: 3 (35 enodes) 3.006 * * [simplify]: Extracting #0: cost 1 inf + 0 3.006 * * [simplify]: Extracting #1: cost 6 inf + 0 3.006 * * [simplify]: Extracting #2: cost 9 inf + 2 3.006 * * [simplify]: Extracting #3: cost 11 inf + 3 3.006 * * [simplify]: Extracting #4: cost 10 inf + 4 3.006 * * [simplify]: Extracting #5: cost 3 inf + 535 3.007 * * [simplify]: Extracting #6: cost 0 inf + 822 3.007 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 3.007 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 3.007 * * * * [progress]: [ 26 / 127 ] simplifiying candidate # 3.008 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 3.008 * * [simplify]: iters left: 4 (6 enodes) 3.012 * * [simplify]: iters left: 3 (25 enodes) 3.021 * * [simplify]: iters left: 2 (36 enodes) 3.032 * * [simplify]: iters left: 1 (40 enodes) 3.044 * * [simplify]: Extracting #0: cost 1 inf + 0 3.044 * * [simplify]: Extracting #1: cost 7 inf + 0 3.044 * * [simplify]: Extracting #2: cost 16 inf + 0 3.044 * * [simplify]: Extracting #3: cost 13 inf + 44 3.045 * * [simplify]: Extracting #4: cost 3 inf + 1103 3.045 * * [simplify]: Extracting #5: cost 0 inf + 1469 3.046 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 3.046 * [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))) 3.046 * * * * [progress]: [ 27 / 127 ] simplifiying candidate # 3.046 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 3.046 * * [simplify]: iters left: 4 (6 enodes) 3.050 * * [simplify]: iters left: 3 (25 enodes) 3.061 * * [simplify]: iters left: 2 (36 enodes) 3.072 * * [simplify]: iters left: 1 (40 enodes) 3.084 * * [simplify]: Extracting #0: cost 1 inf + 0 3.084 * * [simplify]: Extracting #1: cost 7 inf + 0 3.084 * * [simplify]: Extracting #2: cost 16 inf + 0 3.084 * * [simplify]: Extracting #3: cost 13 inf + 44 3.085 * * [simplify]: Extracting #4: cost 3 inf + 823 3.085 * * [simplify]: Extracting #5: cost 0 inf + 1069 3.086 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 3.086 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt k))) 3.086 * * * * [progress]: [ 28 / 127 ] simplifiying candidate # 3.086 * [simplify]: Simplifying (/ (- 1 k) 2) 3.086 * * [simplify]: iters left: 4 (5 enodes) 3.090 * * [simplify]: iters left: 3 (23 enodes) 3.096 * * [simplify]: iters left: 2 (32 enodes) 3.101 * * [simplify]: Extracting #0: cost 1 inf + 0 3.101 * * [simplify]: Extracting #1: cost 6 inf + 0 3.102 * * [simplify]: Extracting #2: cost 9 inf + 2 3.102 * * [simplify]: Extracting #3: cost 6 inf + 87 3.102 * * [simplify]: Extracting #4: cost 0 inf + 420 3.102 * [simplify]: Simplified to (/ (- 1 k) 2) 3.102 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (sqrt k))) 3.102 * * * * [progress]: [ 29 / 127 ] simplifiying candidate # 3.102 * [simplify]: Simplifying (/ (- 1 k) 2) 3.102 * * [simplify]: iters left: 4 (5 enodes) 3.104 * * [simplify]: iters left: 3 (23 enodes) 3.108 * * [simplify]: iters left: 2 (32 enodes) 3.113 * * [simplify]: Extracting #0: cost 1 inf + 0 3.113 * * [simplify]: Extracting #1: cost 6 inf + 0 3.113 * * [simplify]: Extracting #2: cost 9 inf + 2 3.113 * * [simplify]: Extracting #3: cost 6 inf + 87 3.113 * * [simplify]: Extracting #4: cost 0 inf + 420 3.113 * [simplify]: Simplified to (/ (- 1 k) 2) 3.113 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (sqrt k))) 3.113 * * * * [progress]: [ 30 / 127 ] simplifiying candidate # 3.113 * [simplify]: Simplifying (/ 1 2) 3.114 * * [simplify]: iters left: 2 (3 enodes) 3.115 * * [simplify]: iters left: 1 (12 enodes) 3.117 * * [simplify]: Extracting #0: cost 1 inf + 0 3.118 * * [simplify]: Extracting #1: cost 0 inf + 1 3.118 * [simplify]: Simplified to 1/2 3.118 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (- 1 k)) 1/2) (sqrt k))) 3.118 * * * * [progress]: [ 31 / 127 ] simplifiying candidate # 3.118 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 3.118 * * [simplify]: iters left: 5 (7 enodes) 3.120 * * [simplify]: iters left: 4 (32 enodes) 3.131 * * [simplify]: iters left: 3 (57 enodes) 3.149 * * [simplify]: iters left: 2 (88 enodes) 3.177 * * [simplify]: iters left: 1 (156 enodes) 3.219 * * [simplify]: Extracting #0: cost 1 inf + 0 3.219 * * [simplify]: Extracting #1: cost 13 inf + 0 3.219 * * [simplify]: Extracting #2: cost 49 inf + 2 3.219 * * [simplify]: Extracting #3: cost 80 inf + 6 3.220 * * [simplify]: Extracting #4: cost 58 inf + 1840 3.221 * * [simplify]: Extracting #5: cost 22 inf + 9206 3.224 * * [simplify]: Extracting #6: cost 1 inf + 20886 3.227 * * [simplify]: Extracting #7: cost 0 inf + 21301 3.230 * * [simplify]: Extracting #8: cost 0 inf + 21130 3.233 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 3.233 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 3.233 * * * * [progress]: [ 32 / 127 ] simplifiying candidate # 3.233 * * * * [progress]: [ 33 / 127 ] simplifiying candidate # 3.233 * * * * [progress]: [ 34 / 127 ] simplifiying candidate # 3.233 * * * * [progress]: [ 35 / 127 ] simplifiying candidate # 3.233 * * * * [progress]: [ 36 / 127 ] simplifiying candidate # 3.233 * * * * [progress]: [ 37 / 127 ] simplifiying candidate # 3.233 * * * * [progress]: [ 38 / 127 ] simplifiying candidate # 3.233 * * * * [progress]: [ 39 / 127 ] simplifiying candidate # 3.233 * * * * [progress]: [ 40 / 127 ] simplifiying candidate #real (real->posit16 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k)))> 3.233 * * * * [progress]: [ 41 / 127 ] simplifiying candidate # 3.233 * [simplify]: Simplifying (* n (* 2 PI)) 3.234 * * [simplify]: iters left: 4 (5 enodes) 3.235 * * [simplify]: iters left: 3 (19 enodes) 3.238 * * [simplify]: iters left: 2 (27 enodes) 3.243 * * [simplify]: iters left: 1 (32 enodes) 3.247 * * [simplify]: Extracting #0: cost 1 inf + 0 3.247 * * [simplify]: Extracting #1: cost 8 inf + 0 3.247 * * [simplify]: Extracting #2: cost 7 inf + 45 3.247 * * [simplify]: Extracting #3: cost 0 inf + 421 3.247 * [simplify]: Simplified to (* (* PI 2) n) 3.247 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (sqrt k))) 3.247 * * * * [progress]: [ 42 / 127 ] simplifiying candidate # 3.247 * [simplify]: Simplifying (* n (* 2 PI)) 3.247 * * [simplify]: iters left: 4 (5 enodes) 3.249 * * [simplify]: iters left: 3 (19 enodes) 3.255 * * [simplify]: iters left: 2 (27 enodes) 3.263 * * [simplify]: iters left: 1 (32 enodes) 3.271 * * [simplify]: Extracting #0: cost 1 inf + 0 3.271 * * [simplify]: Extracting #1: cost 8 inf + 0 3.271 * * [simplify]: Extracting #2: cost 7 inf + 45 3.272 * * [simplify]: Extracting #3: cost 0 inf + 421 3.272 * [simplify]: Simplified to (* (* PI 2) n) 3.272 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (sqrt k))) 3.272 * * * * [progress]: [ 43 / 127 ] simplifiying candidate # 3.272 * * * * [progress]: [ 44 / 127 ] simplifiying candidate # 3.273 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI))) 3.273 * * [simplify]: iters left: 5 (8 enodes) 3.277 * * [simplify]: iters left: 4 (28 enodes) 3.288 * * [simplify]: iters left: 3 (36 enodes) 3.299 * * [simplify]: iters left: 2 (42 enodes) 3.308 * * [simplify]: Extracting #0: cost 1 inf + 0 3.308 * * [simplify]: Extracting #1: cost 8 inf + 0 3.308 * * [simplify]: Extracting #2: cost 17 inf + 0 3.308 * * [simplify]: Extracting #3: cost 12 inf + 145 3.308 * * [simplify]: Extracting #4: cost 5 inf + 1197 3.308 * * [simplify]: Extracting #5: cost 1 inf + 1925 3.309 * * [simplify]: Extracting #6: cost 0 inf + 2107 3.309 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI))) 3.309 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (- 1 k) 2)) (sqrt k))) 3.309 * * * * [progress]: [ 45 / 127 ] simplifiying candidate # 3.309 * [simplify]: Simplifying (+ (log n) (log (* 2 PI))) 3.309 * * [simplify]: iters left: 5 (7 enodes) 3.311 * * [simplify]: iters left: 4 (26 enodes) 3.316 * * [simplify]: iters left: 3 (35 enodes) 3.321 * * [simplify]: iters left: 2 (44 enodes) 3.327 * * [simplify]: Extracting #0: cost 1 inf + 0 3.327 * * [simplify]: Extracting #1: cost 8 inf + 0 3.327 * * [simplify]: Extracting #2: cost 18 inf + 0 3.327 * * [simplify]: Extracting #3: cost 15 inf + 74 3.327 * * [simplify]: Extracting #4: cost 8 inf + 554 3.328 * * [simplify]: Extracting #5: cost 0 inf + 1911 3.328 * [simplify]: Simplified to (+ (log n) (log (* 2 PI))) 3.328 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (exp (+ (log n) (log (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k))) 3.328 * * * * [progress]: [ 46 / 127 ] simplifiying candidate # 3.328 * * * * [progress]: [ 47 / 127 ] simplifiying candidate # 3.328 * * * * [progress]: [ 48 / 127 ] simplifiying candidate # 3.328 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI))) 3.328 * * [simplify]: iters left: 6 (11 enodes) 3.333 * * [simplify]: iters left: 5 (48 enodes) 3.347 * * [simplify]: iters left: 4 (121 enodes) 3.401 * * [simplify]: iters left: 3 (348 enodes) 3.569 * * [simplify]: Extracting #0: cost 1 inf + 0 3.569 * * [simplify]: Extracting #1: cost 67 inf + 0 3.571 * * [simplify]: Extracting #2: cost 165 inf + 786 3.577 * * [simplify]: Extracting #3: cost 85 inf + 10177 3.588 * * [simplify]: Extracting #4: cost 9 inf + 26399 3.601 * * [simplify]: Extracting #5: cost 0 inf + 28546 3.618 * * [simplify]: Extracting #6: cost 0 inf + 28506 3.626 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI)) 3.626 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (cbrt (* (* (* (* n PI) (* n PI)) 8) (* n PI))) (/ (- 1 k) 2)) (sqrt k))) 3.626 * * * * [progress]: [ 49 / 127 ] simplifiying candidate # 3.626 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI))) 3.626 * * [simplify]: iters left: 6 (9 enodes) 3.629 * * [simplify]: iters left: 5 (45 enodes) 3.638 * * [simplify]: iters left: 4 (117 enodes) 3.671 * * [simplify]: iters left: 3 (374 enodes) 3.952 * * [simplify]: Extracting #0: cost 1 inf + 0 3.952 * * [simplify]: Extracting #1: cost 77 inf + 0 3.953 * * [simplify]: Extracting #2: cost 184 inf + 984 3.957 * * [simplify]: Extracting #3: cost 106 inf + 11690 3.966 * * [simplify]: Extracting #4: cost 6 inf + 30376 3.984 * * [simplify]: Extracting #5: cost 0 inf + 31644 4.000 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n)) 4.000 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (cbrt (* (* (* (* PI n) (* PI n)) 8) (* PI n))) (/ (- 1 k) 2)) (sqrt k))) 4.001 * * * * [progress]: [ 50 / 127 ] simplifiying candidate # 4.001 * * * * [progress]: [ 51 / 127 ] simplifiying candidate # 4.001 * * * * [progress]: [ 52 / 127 ] simplifiying candidate # 4.001 * * * * [progress]: [ 53 / 127 ] simplifiying candidate # 4.001 * * * * [progress]: [ 54 / 127 ] simplifiying candidate # 4.001 * * * * [progress]: [ 55 / 127 ] simplifiying candidate # 4.001 * [simplify]: Simplifying (* (cbrt n) (cbrt n)) 4.001 * * [simplify]: iters left: 3 (3 enodes) 4.002 * * [simplify]: iters left: 2 (9 enodes) 4.003 * * [simplify]: Extracting #0: cost 1 inf + 0 4.003 * * [simplify]: Extracting #1: cost 3 inf + 0 4.003 * * [simplify]: Extracting #2: cost 5 inf + 0 4.003 * * [simplify]: Extracting #3: cost 4 inf + 1 4.003 * * [simplify]: Extracting #4: cost 0 inf + 405 4.003 * [simplify]: Simplified to (* (cbrt n) (cbrt n)) 4.003 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (- 1 k) 2)) (sqrt k))) 4.003 * * * * [progress]: [ 56 / 127 ] simplifiying candidate # 4.004 * [simplify]: Simplifying (sqrt n) 4.004 * * [simplify]: iters left: 1 (2 enodes) 4.004 * * [simplify]: Extracting #0: cost 1 inf + 0 4.004 * * [simplify]: Extracting #1: cost 3 inf + 0 4.004 * * [simplify]: Extracting #2: cost 2 inf + 1 4.004 * * [simplify]: Extracting #3: cost 0 inf + 83 4.004 * [simplify]: Simplified to (sqrt n) 4.004 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (- 1 k) 2)) (sqrt k))) 4.004 * * * * [progress]: [ 57 / 127 ] simplifiying candidate # 4.004 * * * * [progress]: [ 58 / 127 ] simplifiying candidate #real (real->posit16 (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))> 4.004 * * * * [progress]: [ 59 / 127 ] simplifiying candidate # 4.004 * * * * [progress]: [ 60 / 127 ] simplifiying candidate # 4.004 * * * * [progress]: [ 61 / 127 ] simplifiying candidate # 4.005 * [simplify]: Simplifying (- (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (log (sqrt k))) 4.005 * * [simplify]: iters left: 6 (16 enodes) 4.009 * * [simplify]: iters left: 5 (65 enodes) 4.020 * * [simplify]: iters left: 4 (111 enodes) 4.053 * * [simplify]: iters left: 3 (294 enodes) 4.198 * * [simplify]: Extracting #0: cost 1 inf + 0 4.199 * * [simplify]: Extracting #1: cost 32 inf + 0 4.199 * * [simplify]: Extracting #2: cost 82 inf + 0 4.204 * * [simplify]: Extracting #3: cost 145 inf + 73 4.205 * * [simplify]: Extracting #4: cost 158 inf + 1797 4.209 * * [simplify]: Extracting #5: cost 56 inf + 27690 4.217 * * [simplify]: Extracting #6: cost 4 inf + 45043 4.226 * * [simplify]: Extracting #7: cost 0 inf + 46559 4.236 * [simplify]: Simplified to (- (/ (- (+ (log PI) (+ (log n) (log 2))) (* k (+ (log PI) (+ (log n) (log 2))))) 2) (log (sqrt k))) 4.236 * [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))))) 4.237 * * * * [progress]: [ 62 / 127 ] simplifiying candidate # 4.237 * [simplify]: Simplifying (- (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k))) 4.237 * * [simplify]: iters left: 6 (15 enodes) 4.246 * * [simplify]: iters left: 5 (63 enodes) 4.267 * * [simplify]: iters left: 4 (104 enodes) 4.306 * * [simplify]: iters left: 3 (238 enodes) 4.396 * * [simplify]: Extracting #0: cost 1 inf + 0 4.396 * * [simplify]: Extracting #1: cost 30 inf + 0 4.397 * * [simplify]: Extracting #2: cost 78 inf + 0 4.397 * * [simplify]: Extracting #3: cost 131 inf + 73 4.398 * * [simplify]: Extracting #4: cost 147 inf + 821 4.403 * * [simplify]: Extracting #5: cost 71 inf + 15644 4.416 * * [simplify]: Extracting #6: cost 4 inf + 36895 4.430 * * [simplify]: Extracting #7: cost 0 inf + 38761 4.437 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))) 4.437 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))))) 4.438 * * * * [progress]: [ 63 / 127 ] simplifiying candidate # 4.438 * [simplify]: Simplifying (- (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k))) 4.438 * * [simplify]: iters left: 6 (14 enodes) 4.442 * * [simplify]: iters left: 5 (62 enodes) 4.457 * * [simplify]: iters left: 4 (111 enodes) 4.495 * * [simplify]: iters left: 3 (223 enodes) 4.577 * * [simplify]: Extracting #0: cost 1 inf + 0 4.577 * * [simplify]: Extracting #1: cost 19 inf + 0 4.578 * * [simplify]: Extracting #2: cost 67 inf + 0 4.578 * * [simplify]: Extracting #3: cost 123 inf + 2 4.579 * * [simplify]: Extracting #4: cost 139 inf + 1713 4.584 * * [simplify]: Extracting #5: cost 32 inf + 23885 4.597 * * [simplify]: Extracting #6: cost 0 inf + 31232 4.610 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 4.610 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 4.610 * * * * [progress]: [ 64 / 127 ] simplifiying candidate # 4.611 * [simplify]: Simplifying (- (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k))) 4.611 * * [simplify]: iters left: 6 (14 enodes) 4.619 * * [simplify]: iters left: 5 (62 enodes) 4.640 * * [simplify]: iters left: 4 (111 enodes) 4.684 * * [simplify]: iters left: 3 (223 enodes) 4.746 * * [simplify]: Extracting #0: cost 1 inf + 0 4.746 * * [simplify]: Extracting #1: cost 19 inf + 0 4.746 * * [simplify]: Extracting #2: cost 67 inf + 0 4.746 * * [simplify]: Extracting #3: cost 123 inf + 2 4.747 * * [simplify]: Extracting #4: cost 139 inf + 1713 4.751 * * [simplify]: Extracting #5: cost 32 inf + 23885 4.759 * * [simplify]: Extracting #6: cost 0 inf + 31232 4.765 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 4.765 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 4.765 * * * * [progress]: [ 65 / 127 ] simplifiying candidate # 4.766 * [simplify]: Simplifying (- (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (log (sqrt k))) 4.766 * * [simplify]: iters left: 6 (14 enodes) 4.770 * * [simplify]: iters left: 5 (61 enodes) 4.787 * * [simplify]: iters left: 4 (111 enodes) 4.826 * * [simplify]: iters left: 3 (218 enodes) 4.894 * * [simplify]: Extracting #0: cost 1 inf + 0 4.895 * * [simplify]: Extracting #1: cost 20 inf + 0 4.895 * * [simplify]: Extracting #2: cost 94 inf + 0 4.896 * * [simplify]: Extracting #3: cost 167 inf + 2 4.897 * * [simplify]: Extracting #4: cost 164 inf + 1228 4.903 * * [simplify]: Extracting #5: cost 76 inf + 17725 4.915 * * [simplify]: Extracting #6: cost 9 inf + 35809 4.925 * * [simplify]: Extracting #7: cost 0 inf + 40227 4.932 * [simplify]: Simplified to (- (/ (* (log (* (* PI 2) n)) (- 1 k)) 2) (log (sqrt k))) 4.932 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (* (log (* (* PI 2) n)) (- 1 k)) 2) (log (sqrt k))))) 4.932 * * * * [progress]: [ 66 / 127 ] simplifiying candidate # 4.932 * * * * [progress]: [ 67 / 127 ] simplifiying candidate # 4.932 * * * * [progress]: [ 68 / 127 ] simplifiying candidate # 4.932 * [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))) 4.932 * * [simplify]: iters left: 6 (16 enodes) 4.937 * * [simplify]: iters left: 5 (72 enodes) 4.950 * * [simplify]: iters left: 4 (165 enodes) 5.013 * * [simplify]: iters left: 3 (474 enodes) 5.327 * * [simplify]: Extracting #0: cost 1 inf + 0 5.327 * * [simplify]: Extracting #1: cost 172 inf + 0 5.336 * * [simplify]: Extracting #2: cost 449 inf + 1 5.340 * * [simplify]: Extracting #3: cost 500 inf + 248 5.345 * * [simplify]: Extracting #4: cost 476 inf + 4785 5.366 * * [simplify]: Extracting #5: cost 302 inf + 101232 5.406 * * [simplify]: Extracting #6: cost 26 inf + 307299 5.474 * * [simplify]: Extracting #7: cost 0 inf + 323493 5.539 * * [simplify]: Extracting #8: cost 0 inf + 323103 5.638 * [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)))) 5.638 * [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)))))) 5.639 * * * * [progress]: [ 69 / 127 ] simplifiying candidate # 5.639 * * * * [progress]: [ 70 / 127 ] simplifiying candidate # 5.639 * * * * [progress]: [ 71 / 127 ] simplifiying candidate # 5.639 * * * * [progress]: [ 72 / 127 ] simplifiying candidate # 5.639 * * * * [progress]: [ 73 / 127 ] simplifiying candidate # 5.639 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 5.639 * * [simplify]: iters left: 6 (11 enodes) 5.646 * * [simplify]: iters left: 5 (46 enodes) 5.662 * * [simplify]: iters left: 4 (79 enodes) 5.683 * * [simplify]: iters left: 3 (135 enodes) 5.708 * * [simplify]: iters left: 2 (270 enodes) 5.810 * * [simplify]: Extracting #0: cost 1 inf + 0 5.811 * * [simplify]: Extracting #1: cost 56 inf + 0 5.812 * * [simplify]: Extracting #2: cost 151 inf + 0 5.813 * * [simplify]: Extracting #3: cost 211 inf + 3 5.816 * * [simplify]: Extracting #4: cost 182 inf + 8248 5.821 * * [simplify]: Extracting #5: cost 108 inf + 32321 5.832 * * [simplify]: Extracting #6: cost 40 inf + 73343 5.845 * * [simplify]: Extracting #7: cost 0 inf + 103841 5.860 * * [simplify]: Extracting #8: cost 0 inf + 103639 5.873 * * [simplify]: Extracting #9: cost 0 inf + 103517 5.896 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 5.896 * [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))))) 5.896 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k))) 5.896 * * [simplify]: iters left: 6 (11 enodes) 5.903 * * [simplify]: iters left: 5 (45 enodes) 5.918 * * [simplify]: iters left: 4 (68 enodes) 5.941 * * [simplify]: iters left: 3 (110 enodes) 5.985 * * [simplify]: iters left: 2 (217 enodes) 6.062 * * [simplify]: iters left: 1 (456 enodes) 6.267 * * [simplify]: Extracting #0: cost 1 inf + 0 6.268 * * [simplify]: Extracting #1: cost 44 inf + 0 6.268 * * [simplify]: Extracting #2: cost 133 inf + 0 6.270 * * [simplify]: Extracting #3: cost 211 inf + 3 6.272 * * [simplify]: Extracting #4: cost 209 inf + 1047 6.282 * * [simplify]: Extracting #5: cost 156 inf + 8593 6.290 * * [simplify]: Extracting #6: cost 83 inf + 43654 6.304 * * [simplify]: Extracting #7: cost 10 inf + 107740 6.328 * * [simplify]: Extracting #8: cost 0 inf + 116394 6.362 * * [simplify]: Extracting #9: cost 0 inf + 115425 6.396 * * [simplify]: Extracting #10: cost 0 inf + 114468 6.416 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (cbrt (sqrt k))) 6.416 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (cbrt (sqrt k))))) 6.416 * * * * [progress]: [ 74 / 127 ] simplifiying candidate # 6.416 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (* (cbrt k) (cbrt k)))) 6.416 * * [simplify]: iters left: 6 (11 enodes) 6.420 * * [simplify]: iters left: 5 (45 enodes) 6.429 * * [simplify]: iters left: 4 (72 enodes) 6.454 * * [simplify]: iters left: 3 (113 enodes) 6.493 * * [simplify]: iters left: 2 (202 enodes) 6.567 * * [simplify]: iters left: 1 (423 enodes) 6.792 * * [simplify]: Extracting #0: cost 1 inf + 0 6.792 * * [simplify]: Extracting #1: cost 45 inf + 0 6.792 * * [simplify]: Extracting #2: cost 135 inf + 0 6.793 * * [simplify]: Extracting #3: cost 200 inf + 4 6.794 * * [simplify]: Extracting #4: cost 178 inf + 4405 6.799 * * [simplify]: Extracting #5: cost 89 inf + 41805 6.812 * * [simplify]: Extracting #6: cost 6 inf + 96015 6.842 * * [simplify]: Extracting #7: cost 0 inf + 93673 6.880 * * [simplify]: Extracting #8: cost 0 inf + 88687 6.921 * * [simplify]: Extracting #9: cost 0 inf + 87603 6.960 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) 6.960 * [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))))) 6.960 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k))) 6.960 * * [simplify]: iters left: 6 (11 enodes) 6.966 * * [simplify]: iters left: 5 (45 enodes) 6.982 * * [simplify]: iters left: 4 (68 enodes) 7.004 * * [simplify]: iters left: 3 (110 enodes) 7.047 * * [simplify]: iters left: 2 (217 enodes) 7.122 * * [simplify]: iters left: 1 (456 enodes) 7.321 * * [simplify]: Extracting #0: cost 1 inf + 0 7.322 * * [simplify]: Extracting #1: cost 44 inf + 0 7.322 * * [simplify]: Extracting #2: cost 133 inf + 0 7.324 * * [simplify]: Extracting #3: cost 211 inf + 3 7.326 * * [simplify]: Extracting #4: cost 209 inf + 1127 7.331 * * [simplify]: Extracting #5: cost 156 inf + 8673 7.342 * * [simplify]: Extracting #6: cost 83 inf + 43734 7.356 * * [simplify]: Extracting #7: cost 10 inf + 107820 7.379 * * [simplify]: Extracting #8: cost 0 inf + 116474 7.413 * * [simplify]: Extracting #9: cost 0 inf + 115505 7.447 * * [simplify]: Extracting #10: cost 0 inf + 114548 7.483 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (cbrt k))) 7.483 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (cbrt k))))) 7.483 * * * * [progress]: [ 75 / 127 ] simplifiying candidate # 7.483 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 7.483 * * [simplify]: iters left: 6 (10 enodes) 7.490 * * [simplify]: iters left: 5 (41 enodes) 7.505 * * [simplify]: iters left: 4 (68 enodes) 7.527 * * [simplify]: iters left: 3 (109 enodes) 7.567 * * [simplify]: iters left: 2 (194 enodes) 7.620 * * [simplify]: iters left: 1 (414 enodes) 7.807 * * [simplify]: Extracting #0: cost 1 inf + 0 7.808 * * [simplify]: Extracting #1: cost 45 inf + 0 7.808 * * [simplify]: Extracting #2: cost 141 inf + 0 7.810 * * [simplify]: Extracting #3: cost 206 inf + 4 7.813 * * [simplify]: Extracting #4: cost 178 inf + 9345 7.824 * * [simplify]: Extracting #5: cost 101 inf + 32669 7.855 * * [simplify]: Extracting #6: cost 15 inf + 90305 7.887 * * [simplify]: Extracting #7: cost 0 inf + 100314 7.914 * * [simplify]: Extracting #8: cost 0 inf + 100143 7.929 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 7.929 * [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))))) 7.929 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 7.930 * * [simplify]: iters left: 6 (11 enodes) 7.933 * * [simplify]: iters left: 5 (45 enodes) 7.941 * * [simplify]: iters left: 4 (68 enodes) 7.956 * * [simplify]: iters left: 3 (110 enodes) 7.995 * * [simplify]: iters left: 2 (217 enodes) 8.053 * * [simplify]: iters left: 1 (456 enodes) 8.243 * * [simplify]: Extracting #0: cost 1 inf + 0 8.243 * * [simplify]: Extracting #1: cost 44 inf + 0 8.244 * * [simplify]: Extracting #2: cost 133 inf + 0 8.244 * * [simplify]: Extracting #3: cost 211 inf + 3 8.246 * * [simplify]: Extracting #4: cost 209 inf + 967 8.251 * * [simplify]: Extracting #5: cost 156 inf + 8433 8.258 * * [simplify]: Extracting #6: cost 83 inf + 42774 8.272 * * [simplify]: Extracting #7: cost 10 inf + 105380 8.298 * * [simplify]: Extracting #8: cost 0 inf + 113674 8.332 * * [simplify]: Extracting #9: cost 0 inf + 112705 8.366 * * [simplify]: Extracting #10: cost 0 inf + 111748 8.384 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k))) 8.384 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k))))) 8.385 * * * * [progress]: [ 76 / 127 ] simplifiying candidate # 8.385 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) 8.385 * * [simplify]: iters left: 6 (9 enodes) 8.388 * * [simplify]: iters left: 5 (38 enodes) 8.395 * * [simplify]: iters left: 4 (63 enodes) 8.406 * * [simplify]: iters left: 3 (100 enodes) 8.424 * * [simplify]: iters left: 2 (175 enodes) 8.466 * * [simplify]: iters left: 1 (360 enodes) 8.687 * * [simplify]: Extracting #0: cost 1 inf + 0 8.687 * * [simplify]: Extracting #1: cost 52 inf + 0 8.687 * * [simplify]: Extracting #2: cost 150 inf + 3 8.688 * * [simplify]: Extracting #3: cost 190 inf + 8 8.689 * * [simplify]: Extracting #4: cost 167 inf + 1999 8.692 * * [simplify]: Extracting #5: cost 109 inf + 14534 8.702 * * [simplify]: Extracting #6: cost 11 inf + 80954 8.715 * * [simplify]: Extracting #7: cost 0 inf + 87093 8.728 * * [simplify]: Extracting #8: cost 0 inf + 85003 8.742 * * [simplify]: Extracting #9: cost 0 inf + 84872 8.755 * [simplify]: Simplified to (pow n (- 1/2 (/ k 2))) 8.755 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 8.755 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 8.755 * * [simplify]: iters left: 6 (10 enodes) 8.758 * * [simplify]: iters left: 5 (42 enodes) 8.767 * * [simplify]: iters left: 4 (65 enodes) 8.782 * * [simplify]: iters left: 3 (104 enodes) 8.822 * * [simplify]: iters left: 2 (206 enodes) 8.903 * * [simplify]: iters left: 1 (433 enodes) 9.120 * * [simplify]: Extracting #0: cost 1 inf + 0 9.120 * * [simplify]: Extracting #1: cost 45 inf + 0 9.121 * * [simplify]: Extracting #2: cost 143 inf + 0 9.122 * * [simplify]: Extracting #3: cost 213 inf + 45 9.127 * * [simplify]: Extracting #4: cost 203 inf + 1718 9.130 * * [simplify]: Extracting #5: cost 130 inf + 20716 9.144 * * [simplify]: Extracting #6: cost 18 inf + 99664 9.182 * * [simplify]: Extracting #7: cost 0 inf + 106929 9.219 * * [simplify]: Extracting #8: cost 0 inf + 106247 9.262 * * [simplify]: Extracting #9: cost 0 inf + 105867 9.290 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)) 9.290 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))) 9.291 * * * * [progress]: [ 77 / 127 ] simplifiying candidate # 9.291 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 9.291 * * [simplify]: iters left: 6 (10 enodes) 9.297 * * [simplify]: iters left: 5 (41 enodes) 9.312 * * [simplify]: iters left: 4 (68 enodes) 9.334 * * [simplify]: iters left: 3 (109 enodes) 9.354 * * [simplify]: iters left: 2 (194 enodes) 9.424 * * [simplify]: iters left: 1 (414 enodes) 9.581 * * [simplify]: Extracting #0: cost 1 inf + 0 9.581 * * [simplify]: Extracting #1: cost 45 inf + 0 9.582 * * [simplify]: Extracting #2: cost 141 inf + 0 9.583 * * [simplify]: Extracting #3: cost 206 inf + 4 9.584 * * [simplify]: Extracting #4: cost 178 inf + 9345 9.592 * * [simplify]: Extracting #5: cost 101 inf + 32669 9.605 * * [simplify]: Extracting #6: cost 15 inf + 90305 9.621 * * [simplify]: Extracting #7: cost 0 inf + 100314 9.652 * * [simplify]: Extracting #8: cost 0 inf + 100143 9.687 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 9.687 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 9.688 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 9.688 * * [simplify]: iters left: 6 (11 enodes) 9.694 * * [simplify]: iters left: 5 (45 enodes) 9.709 * * [simplify]: iters left: 4 (68 enodes) 9.732 * * [simplify]: iters left: 3 (110 enodes) 9.774 * * [simplify]: iters left: 2 (217 enodes) 9.846 * * [simplify]: iters left: 1 (456 enodes) 10.053 * * [simplify]: Extracting #0: cost 1 inf + 0 10.053 * * [simplify]: Extracting #1: cost 44 inf + 0 10.054 * * [simplify]: Extracting #2: cost 133 inf + 0 10.056 * * [simplify]: Extracting #3: cost 211 inf + 3 10.058 * * [simplify]: Extracting #4: cost 209 inf + 967 10.063 * * [simplify]: Extracting #5: cost 156 inf + 8433 10.075 * * [simplify]: Extracting #6: cost 83 inf + 42774 10.092 * * [simplify]: Extracting #7: cost 10 inf + 105380 10.109 * * [simplify]: Extracting #8: cost 0 inf + 113674 10.146 * * [simplify]: Extracting #9: cost 0 inf + 112705 10.179 * * [simplify]: Extracting #10: cost 0 inf + 111748 10.196 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k))) 10.196 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k))))) 10.196 * * * * [progress]: [ 78 / 127 ] simplifiying candidate # 10.196 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) 1) 10.196 * * [simplify]: iters left: 6 (8 enodes) 10.199 * * [simplify]: iters left: 5 (33 enodes) 10.206 * * [simplify]: iters left: 4 (56 enodes) 10.225 * * [simplify]: iters left: 3 (98 enodes) 10.265 * * [simplify]: iters left: 2 (203 enodes) 10.318 * * [simplify]: iters left: 1 (441 enodes) 10.574 * * [simplify]: Extracting #0: cost 1 inf + 0 10.574 * * [simplify]: Extracting #1: cost 49 inf + 0 10.575 * * [simplify]: Extracting #2: cost 157 inf + 3 10.576 * * [simplify]: Extracting #3: cost 212 inf + 8 10.579 * * [simplify]: Extracting #4: cost 198 inf + 1133 10.584 * * [simplify]: Extracting #5: cost 127 inf + 13703 10.605 * * [simplify]: Extracting #6: cost 35 inf + 74586 10.641 * * [simplify]: Extracting #7: cost 0 inf + 99668 10.675 * * [simplify]: Extracting #8: cost 0 inf + 99308 10.696 * [simplify]: Simplified to (pow n (- 1/2 (/ k 2))) 10.696 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 10.696 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 10.696 * * [simplify]: iters left: 6 (10 enodes) 10.699 * * [simplify]: iters left: 5 (42 enodes) 10.712 * * [simplify]: iters left: 4 (65 enodes) 10.723 * * [simplify]: iters left: 3 (104 enodes) 10.744 * * [simplify]: iters left: 2 (206 enodes) 10.818 * * [simplify]: iters left: 1 (433 enodes) 11.006 * * [simplify]: Extracting #0: cost 1 inf + 0 11.006 * * [simplify]: Extracting #1: cost 45 inf + 0 11.007 * * [simplify]: Extracting #2: cost 143 inf + 0 11.009 * * [simplify]: Extracting #3: cost 213 inf + 45 11.011 * * [simplify]: Extracting #4: cost 203 inf + 1718 11.018 * * [simplify]: Extracting #5: cost 130 inf + 20716 11.033 * * [simplify]: Extracting #6: cost 18 inf + 99664 11.062 * * [simplify]: Extracting #7: cost 0 inf + 106929 11.097 * * [simplify]: Extracting #8: cost 0 inf + 106247 11.141 * * [simplify]: Extracting #9: cost 0 inf + 105867 11.168 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)) 11.168 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) 1) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))) 11.168 * * * * [progress]: [ 79 / 127 ] simplifiying candidate # 11.169 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 11.169 * * [simplify]: iters left: 6 (16 enodes) 11.173 * * [simplify]: iters left: 5 (69 enodes) 11.186 * * [simplify]: iters left: 4 (117 enodes) 11.207 * * [simplify]: iters left: 3 (164 enodes) 11.258 * * [simplify]: iters left: 2 (236 enodes) 11.314 * * [simplify]: iters left: 1 (387 enodes) 11.440 * * [simplify]: Extracting #0: cost 1 inf + 0 11.440 * * [simplify]: Extracting #1: cost 11 inf + 0 11.440 * * [simplify]: Extracting #2: cost 22 inf + 0 11.440 * * [simplify]: Extracting #3: cost 48 inf + 0 11.441 * * [simplify]: Extracting #4: cost 120 inf + 2 11.441 * * [simplify]: Extracting #5: cost 145 inf + 1787 11.444 * * [simplify]: Extracting #6: cost 89 inf + 14823 11.450 * * [simplify]: Extracting #7: cost 35 inf + 37040 11.460 * * [simplify]: Extracting #8: cost 4 inf + 64421 11.473 * * [simplify]: Extracting #9: cost 0 inf + 66215 11.485 * * [simplify]: Extracting #10: cost 0 inf + 65834 11.497 * [simplify]: Simplified to (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 11.497 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k))))) 11.497 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k))) 11.498 * * [simplify]: iters left: 6 (14 enodes) 11.505 * * [simplify]: iters left: 5 (57 enodes) 11.524 * * [simplify]: iters left: 4 (90 enodes) 11.555 * * [simplify]: iters left: 3 (127 enodes) 11.596 * * [simplify]: iters left: 2 (195 enodes) 11.647 * * [simplify]: iters left: 1 (356 enodes) 11.776 * * [simplify]: Extracting #0: cost 1 inf + 0 11.776 * * [simplify]: Extracting #1: cost 4 inf + 0 11.776 * * [simplify]: Extracting #2: cost 8 inf + 0 11.776 * * [simplify]: Extracting #3: cost 34 inf + 0 11.777 * * [simplify]: Extracting #4: cost 107 inf + 164 11.778 * * [simplify]: Extracting #5: cost 148 inf + 585 11.781 * * [simplify]: Extracting #6: cost 104 inf + 6057 11.790 * * [simplify]: Extracting #7: cost 40 inf + 28932 11.808 * * [simplify]: Extracting #8: cost 3 inf + 60785 11.828 * * [simplify]: Extracting #9: cost 0 inf + 62323 11.849 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 11.849 * [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))))) 11.849 * * * * [progress]: [ 80 / 127 ] simplifiying candidate # 11.849 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (* (cbrt k) (cbrt k)))) 11.850 * * [simplify]: iters left: 6 (16 enodes) 11.858 * * [simplify]: iters left: 5 (66 enodes) 11.883 * * [simplify]: iters left: 4 (103 enodes) 11.909 * * [simplify]: iters left: 3 (142 enodes) 11.931 * * [simplify]: iters left: 2 (210 enodes) 11.990 * * [simplify]: iters left: 1 (370 enodes) 12.115 * * [simplify]: Extracting #0: cost 1 inf + 0 12.115 * * [simplify]: Extracting #1: cost 7 inf + 0 12.115 * * [simplify]: Extracting #2: cost 15 inf + 0 12.115 * * [simplify]: Extracting #3: cost 43 inf + 0 12.116 * * [simplify]: Extracting #4: cost 113 inf + 204 12.117 * * [simplify]: Extracting #5: cost 144 inf + 990 12.118 * * [simplify]: Extracting #6: cost 110 inf + 4920 12.122 * * [simplify]: Extracting #7: cost 55 inf + 21303 12.137 * * [simplify]: Extracting #8: cost 13 inf + 52139 12.156 * * [simplify]: Extracting #9: cost 0 inf + 63233 12.179 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (fabs (cbrt k))) 12.179 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (fabs (cbrt k))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k))))) 12.180 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k))) 12.180 * * [simplify]: iters left: 6 (14 enodes) 12.188 * * [simplify]: iters left: 5 (57 enodes) 12.207 * * [simplify]: iters left: 4 (90 enodes) 12.237 * * [simplify]: iters left: 3 (127 enodes) 12.277 * * [simplify]: iters left: 2 (195 enodes) 12.328 * * [simplify]: iters left: 1 (356 enodes) 12.450 * * [simplify]: Extracting #0: cost 1 inf + 0 12.450 * * [simplify]: Extracting #1: cost 4 inf + 0 12.450 * * [simplify]: Extracting #2: cost 8 inf + 0 12.450 * * [simplify]: Extracting #3: cost 34 inf + 0 12.450 * * [simplify]: Extracting #4: cost 107 inf + 204 12.451 * * [simplify]: Extracting #5: cost 148 inf + 665 12.452 * * [simplify]: Extracting #6: cost 104 inf + 6137 12.457 * * [simplify]: Extracting #7: cost 40 inf + 29012 12.466 * * [simplify]: Extracting #8: cost 3 inf + 60865 12.478 * * [simplify]: Extracting #9: cost 0 inf + 62403 12.495 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (cbrt k))) 12.495 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (cbrt k))))) 12.495 * * * * [progress]: [ 81 / 127 ] simplifiying candidate # 12.496 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) 12.496 * * [simplify]: iters left: 6 (15 enodes) 12.504 * * [simplify]: iters left: 5 (62 enodes) 12.525 * * [simplify]: iters left: 4 (99 enodes) 12.544 * * [simplify]: iters left: 3 (142 enodes) 12.573 * * [simplify]: iters left: 2 (215 enodes) 12.649 * * [simplify]: iters left: 1 (364 enodes) 12.777 * * [simplify]: Extracting #0: cost 1 inf + 0 12.777 * * [simplify]: Extracting #1: cost 7 inf + 0 12.777 * * [simplify]: Extracting #2: cost 14 inf + 0 12.777 * * [simplify]: Extracting #3: cost 41 inf + 0 12.778 * * [simplify]: Extracting #4: cost 108 inf + 124 12.779 * * [simplify]: Extracting #5: cost 134 inf + 713 12.782 * * [simplify]: Extracting #6: cost 89 inf + 7865 12.795 * * [simplify]: Extracting #7: cost 23 inf + 42624 12.817 * * [simplify]: Extracting #8: cost 0 inf + 60960 12.835 * * [simplify]: Extracting #9: cost 0 inf + 60349 12.854 * * [simplify]: Extracting #10: cost 0 inf + 60309 12.871 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) 12.872 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 12.872 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 12.872 * * [simplify]: iters left: 6 (14 enodes) 12.880 * * [simplify]: iters left: 5 (57 enodes) 12.900 * * [simplify]: iters left: 4 (90 enodes) 12.928 * * [simplify]: iters left: 3 (127 enodes) 12.971 * * [simplify]: iters left: 2 (195 enodes) 13.044 * * [simplify]: iters left: 1 (356 enodes) 13.206 * * [simplify]: Extracting #0: cost 1 inf + 0 13.206 * * [simplify]: Extracting #1: cost 4 inf + 0 13.206 * * [simplify]: Extracting #2: cost 8 inf + 0 13.207 * * [simplify]: Extracting #3: cost 34 inf + 0 13.207 * * [simplify]: Extracting #4: cost 107 inf + 124 13.207 * * [simplify]: Extracting #5: cost 148 inf + 505 13.209 * * [simplify]: Extracting #6: cost 104 inf + 5977 13.213 * * [simplify]: Extracting #7: cost 40 inf + 28772 13.222 * * [simplify]: Extracting #8: cost 3 inf + 60625 13.232 * * [simplify]: Extracting #9: cost 0 inf + 62163 13.242 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 13.242 * [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))))) 13.242 * * * * [progress]: [ 82 / 127 ] simplifiying candidate # 13.242 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt 1)) 13.242 * * [simplify]: iters left: 6 (14 enodes) 13.247 * * [simplify]: iters left: 5 (59 enodes) 13.257 * * [simplify]: iters left: 4 (96 enodes) 13.278 * * [simplify]: iters left: 3 (136 enodes) 13.315 * * [simplify]: iters left: 2 (205 enodes) 13.363 * * [simplify]: iters left: 1 (370 enodes) 13.519 * * [simplify]: Extracting #0: cost 1 inf + 0 13.519 * * [simplify]: Extracting #1: cost 5 inf + 0 13.519 * * [simplify]: Extracting #2: cost 7 inf + 1 13.519 * * [simplify]: Extracting #3: cost 31 inf + 1 13.520 * * [simplify]: Extracting #4: cost 103 inf + 2 13.520 * * [simplify]: Extracting #5: cost 150 inf + 218 13.521 * * [simplify]: Extracting #6: cost 145 inf + 809 13.523 * * [simplify]: Extracting #7: cost 87 inf + 10304 13.531 * * [simplify]: Extracting #8: cost 25 inf + 34558 13.550 * * [simplify]: Extracting #9: cost 0 inf + 51677 13.576 * * [simplify]: Extracting #10: cost 0 inf + 51597 13.602 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 13.602 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)))) 13.602 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 13.602 * * [simplify]: iters left: 6 (13 enodes) 13.610 * * [simplify]: iters left: 5 (54 enodes) 13.629 * * [simplify]: iters left: 4 (87 enodes) 13.661 * * [simplify]: iters left: 3 (128 enodes) 13.702 * * [simplify]: iters left: 2 (197 enodes) 13.747 * * [simplify]: iters left: 1 (354 enodes) 13.905 * * [simplify]: Extracting #0: cost 1 inf + 0 13.905 * * [simplify]: Extracting #1: cost 4 inf + 0 13.905 * * [simplify]: Extracting #2: cost 8 inf + 0 13.905 * * [simplify]: Extracting #3: cost 28 inf + 83 13.906 * * [simplify]: Extracting #4: cost 105 inf + 84 13.907 * * [simplify]: Extracting #5: cost 139 inf + 343 13.910 * * [simplify]: Extracting #6: cost 97 inf + 5103 13.920 * * [simplify]: Extracting #7: cost 34 inf + 36313 13.939 * * [simplify]: Extracting #8: cost 1 inf + 60074 13.954 * * [simplify]: Extracting #9: cost 0 inf + 60197 13.963 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)) 13.963 * [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)))) 13.964 * * * * [progress]: [ 83 / 127 ] simplifiying candidate # 13.964 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) 13.964 * * [simplify]: iters left: 6 (15 enodes) 13.968 * * [simplify]: iters left: 5 (62 enodes) 13.988 * * [simplify]: iters left: 4 (99 enodes) 14.009 * * [simplify]: iters left: 3 (142 enodes) 14.042 * * [simplify]: iters left: 2 (215 enodes) 14.095 * * [simplify]: iters left: 1 (364 enodes) 14.248 * * [simplify]: Extracting #0: cost 1 inf + 0 14.249 * * [simplify]: Extracting #1: cost 7 inf + 0 14.249 * * [simplify]: Extracting #2: cost 14 inf + 0 14.249 * * [simplify]: Extracting #3: cost 41 inf + 0 14.249 * * [simplify]: Extracting #4: cost 108 inf + 124 14.251 * * [simplify]: Extracting #5: cost 134 inf + 713 14.254 * * [simplify]: Extracting #6: cost 89 inf + 7865 14.266 * * [simplify]: Extracting #7: cost 23 inf + 42624 14.284 * * [simplify]: Extracting #8: cost 0 inf + 60960 14.302 * * [simplify]: Extracting #9: cost 0 inf + 60349 14.320 * * [simplify]: Extracting #10: cost 0 inf + 60309 14.343 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) 14.343 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 14.343 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 14.343 * * [simplify]: iters left: 6 (14 enodes) 14.351 * * [simplify]: iters left: 5 (57 enodes) 14.361 * * [simplify]: iters left: 4 (90 enodes) 14.376 * * [simplify]: iters left: 3 (127 enodes) 14.417 * * [simplify]: iters left: 2 (195 enodes) 14.459 * * [simplify]: iters left: 1 (356 enodes) 14.596 * * [simplify]: Extracting #0: cost 1 inf + 0 14.596 * * [simplify]: Extracting #1: cost 4 inf + 0 14.596 * * [simplify]: Extracting #2: cost 8 inf + 0 14.597 * * [simplify]: Extracting #3: cost 34 inf + 0 14.597 * * [simplify]: Extracting #4: cost 107 inf + 124 14.598 * * [simplify]: Extracting #5: cost 148 inf + 505 14.601 * * [simplify]: Extracting #6: cost 104 inf + 5977 14.610 * * [simplify]: Extracting #7: cost 40 inf + 28772 14.627 * * [simplify]: Extracting #8: cost 3 inf + 60625 14.651 * * [simplify]: Extracting #9: cost 0 inf + 62163 14.671 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 14.671 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 14.672 * * * * [progress]: [ 84 / 127 ] simplifiying candidate # 14.672 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 1) 14.672 * * [simplify]: iters left: 6 (13 enodes) 14.680 * * [simplify]: iters left: 5 (54 enodes) 14.699 * * [simplify]: iters left: 4 (95 enodes) 14.729 * * [simplify]: iters left: 3 (137 enodes) 14.771 * * [simplify]: iters left: 2 (206 enodes) 14.823 * * [simplify]: iters left: 1 (362 enodes) 14.961 * * [simplify]: Extracting #0: cost 1 inf + 0 14.962 * * [simplify]: Extracting #1: cost 5 inf + 0 14.962 * * [simplify]: Extracting #2: cost 7 inf + 1 14.962 * * [simplify]: Extracting #3: cost 32 inf + 1 14.962 * * [simplify]: Extracting #4: cost 110 inf + 2 14.963 * * [simplify]: Extracting #5: cost 158 inf + 176 14.963 * * [simplify]: Extracting #6: cost 152 inf + 519 14.966 * * [simplify]: Extracting #7: cost 101 inf + 8278 14.972 * * [simplify]: Extracting #8: cost 36 inf + 29809 14.985 * * [simplify]: Extracting #9: cost 0 inf + 59743 14.996 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 14.996 * [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)))) 14.997 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 14.997 * * [simplify]: iters left: 6 (13 enodes) 15.001 * * [simplify]: iters left: 5 (54 enodes) 15.014 * * [simplify]: iters left: 4 (87 enodes) 15.037 * * [simplify]: iters left: 3 (128 enodes) 15.059 * * [simplify]: iters left: 2 (197 enodes) 15.113 * * [simplify]: iters left: 1 (354 enodes) 15.247 * * [simplify]: Extracting #0: cost 1 inf + 0 15.247 * * [simplify]: Extracting #1: cost 4 inf + 0 15.247 * * [simplify]: Extracting #2: cost 8 inf + 0 15.247 * * [simplify]: Extracting #3: cost 28 inf + 83 15.247 * * [simplify]: Extracting #4: cost 105 inf + 84 15.248 * * [simplify]: Extracting #5: cost 139 inf + 343 15.249 * * [simplify]: Extracting #6: cost 97 inf + 5103 15.254 * * [simplify]: Extracting #7: cost 34 inf + 36313 15.267 * * [simplify]: Extracting #8: cost 1 inf + 60074 15.290 * * [simplify]: Extracting #9: cost 0 inf + 60197 15.309 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)) 15.309 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 1) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)))) 15.310 * * * * [progress]: [ 85 / 127 ] simplifiying candidate # 15.310 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 15.310 * * [simplify]: iters left: 6 (15 enodes) 15.319 * * [simplify]: iters left: 5 (62 enodes) 15.339 * * [simplify]: iters left: 4 (98 enodes) 15.355 * * [simplify]: iters left: 3 (134 enodes) 15.391 * * [simplify]: iters left: 2 (202 enodes) 15.447 * * [simplify]: iters left: 1 (362 enodes) 15.597 * * [simplify]: Extracting #0: cost 1 inf + 0 15.598 * * [simplify]: Extracting #1: cost 6 inf + 0 15.598 * * [simplify]: Extracting #2: cost 13 inf + 0 15.598 * * [simplify]: Extracting #3: cost 43 inf + 0 15.599 * * [simplify]: Extracting #4: cost 123 inf + 2 15.600 * * [simplify]: Extracting #5: cost 143 inf + 1737 15.605 * * [simplify]: Extracting #6: cost 78 inf + 14117 15.616 * * [simplify]: Extracting #7: cost 41 inf + 26321 15.639 * * [simplify]: Extracting #8: cost 0 inf + 58201 15.661 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 15.661 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k))))) 15.661 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k))) 15.661 * * [simplify]: iters left: 6 (14 enodes) 15.669 * * [simplify]: iters left: 5 (57 enodes) 15.688 * * [simplify]: iters left: 4 (91 enodes) 15.717 * * [simplify]: iters left: 3 (127 enodes) 15.744 * * [simplify]: iters left: 2 (195 enodes) 15.803 * * [simplify]: iters left: 1 (354 enodes) 15.971 * * [simplify]: Extracting #0: cost 1 inf + 0 15.971 * * [simplify]: Extracting #1: cost 4 inf + 0 15.971 * * [simplify]: Extracting #2: cost 9 inf + 0 15.972 * * [simplify]: Extracting #3: cost 36 inf + 0 15.972 * * [simplify]: Extracting #4: cost 113 inf + 164 15.973 * * [simplify]: Extracting #5: cost 137 inf + 711 15.975 * * [simplify]: Extracting #6: cost 71 inf + 16363 15.989 * * [simplify]: Extracting #7: cost 10 inf + 50147 16.009 * * [simplify]: Extracting #8: cost 0 inf + 57814 16.028 * * [simplify]: Extracting #9: cost 0 inf + 57305 16.047 * * [simplify]: Extracting #10: cost 0 inf + 57095 16.066 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k))) 16.066 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k))))) 16.067 * * * * [progress]: [ 86 / 127 ] simplifiying candidate # 16.067 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt k) (cbrt k)))) 16.067 * * [simplify]: iters left: 6 (15 enodes) 16.075 * * [simplify]: iters left: 5 (61 enodes) 16.096 * * [simplify]: iters left: 4 (95 enodes) 16.125 * * [simplify]: iters left: 3 (131 enodes) 16.168 * * [simplify]: iters left: 2 (199 enodes) 16.211 * * [simplify]: iters left: 1 (362 enodes) 16.336 * * [simplify]: Extracting #0: cost 1 inf + 0 16.336 * * [simplify]: Extracting #1: cost 4 inf + 0 16.336 * * [simplify]: Extracting #2: cost 10 inf + 0 16.337 * * [simplify]: Extracting #3: cost 41 inf + 0 16.337 * * [simplify]: Extracting #4: cost 124 inf + 325 16.338 * * [simplify]: Extracting #5: cost 146 inf + 2066 16.344 * * [simplify]: Extracting #6: cost 88 inf + 11216 16.351 * * [simplify]: Extracting #7: cost 59 inf + 18921 16.361 * * [simplify]: Extracting #8: cost 20 inf + 50076 16.371 * * [simplify]: Extracting #9: cost 0 inf + 68061 16.380 * * [simplify]: Extracting #10: cost 0 inf + 67850 16.395 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (fabs (cbrt k))) 16.395 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (fabs (cbrt k))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k))))) 16.396 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k))) 16.396 * * [simplify]: iters left: 6 (14 enodes) 16.403 * * [simplify]: iters left: 5 (57 enodes) 16.423 * * [simplify]: iters left: 4 (91 enodes) 16.453 * * [simplify]: iters left: 3 (127 enodes) 16.474 * * [simplify]: iters left: 2 (195 enodes) 16.531 * * [simplify]: iters left: 1 (354 enodes) 16.664 * * [simplify]: Extracting #0: cost 1 inf + 0 16.664 * * [simplify]: Extracting #1: cost 4 inf + 0 16.664 * * [simplify]: Extracting #2: cost 9 inf + 0 16.664 * * [simplify]: Extracting #3: cost 36 inf + 0 16.665 * * [simplify]: Extracting #4: cost 113 inf + 204 16.666 * * [simplify]: Extracting #5: cost 137 inf + 791 16.671 * * [simplify]: Extracting #6: cost 71 inf + 16443 16.687 * * [simplify]: Extracting #7: cost 10 inf + 50227 16.700 * * [simplify]: Extracting #8: cost 0 inf + 57894 16.710 * * [simplify]: Extracting #9: cost 0 inf + 57385 16.719 * * [simplify]: Extracting #10: cost 0 inf + 57175 16.737 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt k))) 16.737 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt k))))) 16.738 * * * * [progress]: [ 87 / 127 ] simplifiying candidate # 16.738 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 16.738 * * [simplify]: iters left: 6 (14 enodes) 16.746 * * [simplify]: iters left: 5 (57 enodes) 16.762 * * [simplify]: iters left: 4 (91 enodes) 16.777 * * [simplify]: iters left: 3 (127 enodes) 16.804 * * [simplify]: iters left: 2 (195 enodes) 16.854 * * [simplify]: iters left: 1 (354 enodes) 17.009 * * [simplify]: Extracting #0: cost 1 inf + 0 17.009 * * [simplify]: Extracting #1: cost 4 inf + 0 17.009 * * [simplify]: Extracting #2: cost 9 inf + 0 17.009 * * [simplify]: Extracting #3: cost 36 inf + 0 17.010 * * [simplify]: Extracting #4: cost 113 inf + 124 17.011 * * [simplify]: Extracting #5: cost 137 inf + 631 17.016 * * [simplify]: Extracting #6: cost 71 inf + 16283 17.031 * * [simplify]: Extracting #7: cost 10 inf + 49987 17.050 * * [simplify]: Extracting #8: cost 0 inf + 57654 17.074 * * [simplify]: Extracting #9: cost 0 inf + 57145 17.093 * * [simplify]: Extracting #10: cost 0 inf + 56935 17.111 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 17.111 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 17.111 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 17.111 * * [simplify]: iters left: 6 (14 enodes) 17.115 * * [simplify]: iters left: 5 (57 enodes) 17.125 * * [simplify]: iters left: 4 (91 enodes) 17.140 * * [simplify]: iters left: 3 (127 enodes) 17.180 * * [simplify]: iters left: 2 (195 enodes) 17.227 * * [simplify]: iters left: 1 (354 enodes) 17.386 * * [simplify]: Extracting #0: cost 1 inf + 0 17.386 * * [simplify]: Extracting #1: cost 4 inf + 0 17.386 * * [simplify]: Extracting #2: cost 9 inf + 0 17.386 * * [simplify]: Extracting #3: cost 36 inf + 0 17.387 * * [simplify]: Extracting #4: cost 113 inf + 124 17.388 * * [simplify]: Extracting #5: cost 137 inf + 631 17.397 * * [simplify]: Extracting #6: cost 71 inf + 16283 17.413 * * [simplify]: Extracting #7: cost 10 inf + 49987 17.433 * * [simplify]: Extracting #8: cost 0 inf + 57654 17.452 * * [simplify]: Extracting #9: cost 0 inf + 57145 17.471 * * [simplify]: Extracting #10: cost 0 inf + 56935 17.482 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 17.482 * [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))))) 17.482 * * * * [progress]: [ 88 / 127 ] simplifiying candidate # 17.482 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) 17.482 * * [simplify]: iters left: 6 (13 enodes) 17.487 * * [simplify]: iters left: 5 (54 enodes) 17.496 * * [simplify]: iters left: 4 (88 enodes) 17.516 * * [simplify]: iters left: 3 (127 enodes) 17.542 * * [simplify]: iters left: 2 (196 enodes) 17.598 * * [simplify]: iters left: 1 (362 enodes) 17.718 * * [simplify]: Extracting #0: cost 1 inf + 0 17.718 * * [simplify]: Extracting #1: cost 5 inf + 0 17.718 * * [simplify]: Extracting #2: cost 27 inf + 1 17.719 * * [simplify]: Extracting #3: cost 103 inf + 2 17.720 * * [simplify]: Extracting #4: cost 147 inf + 177 17.721 * * [simplify]: Extracting #5: cost 138 inf + 727 17.725 * * [simplify]: Extracting #6: cost 92 inf + 5570 17.736 * * [simplify]: Extracting #7: cost 20 inf + 39855 17.753 * * [simplify]: Extracting #8: cost 0 inf + 56614 17.771 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) 17.771 * [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)))) 17.771 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 17.771 * * [simplify]: iters left: 6 (13 enodes) 17.778 * * [simplify]: iters left: 5 (54 enodes) 17.796 * * [simplify]: iters left: 4 (88 enodes) 17.813 * * [simplify]: iters left: 3 (125 enodes) 17.836 * * [simplify]: iters left: 2 (193 enodes) 17.875 * * [simplify]: iters left: 1 (356 enodes) 18.044 * * [simplify]: Extracting #0: cost 1 inf + 0 18.044 * * [simplify]: Extracting #1: cost 4 inf + 0 18.044 * * [simplify]: Extracting #2: cost 9 inf + 0 18.044 * * [simplify]: Extracting #3: cost 32 inf + 1 18.044 * * [simplify]: Extracting #4: cost 105 inf + 84 18.045 * * [simplify]: Extracting #5: cost 126 inf + 1591 18.048 * * [simplify]: Extracting #6: cost 68 inf + 14727 18.057 * * [simplify]: Extracting #7: cost 10 inf + 40855 18.070 * * [simplify]: Extracting #8: cost 0 inf + 47636 18.094 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)) 18.094 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)))) 18.094 * * * * [progress]: [ 89 / 127 ] simplifiying candidate # 18.095 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 18.095 * * [simplify]: iters left: 6 (14 enodes) 18.102 * * [simplify]: iters left: 5 (57 enodes) 18.120 * * [simplify]: iters left: 4 (91 enodes) 18.134 * * [simplify]: iters left: 3 (127 enodes) 18.169 * * [simplify]: iters left: 2 (195 enodes) 18.241 * * [simplify]: iters left: 1 (354 enodes) 18.372 * * [simplify]: Extracting #0: cost 1 inf + 0 18.372 * * [simplify]: Extracting #1: cost 4 inf + 0 18.372 * * [simplify]: Extracting #2: cost 9 inf + 0 18.373 * * [simplify]: Extracting #3: cost 36 inf + 0 18.373 * * [simplify]: Extracting #4: cost 113 inf + 124 18.375 * * [simplify]: Extracting #5: cost 137 inf + 631 18.380 * * [simplify]: Extracting #6: cost 71 inf + 16283 18.396 * * [simplify]: Extracting #7: cost 10 inf + 49987 18.415 * * [simplify]: Extracting #8: cost 0 inf + 57654 18.434 * * [simplify]: Extracting #9: cost 0 inf + 57145 18.443 * * [simplify]: Extracting #10: cost 0 inf + 56935 18.453 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 18.453 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 18.453 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 18.453 * * [simplify]: iters left: 6 (14 enodes) 18.457 * * [simplify]: iters left: 5 (57 enodes) 18.473 * * [simplify]: iters left: 4 (91 enodes) 18.501 * * [simplify]: iters left: 3 (127 enodes) 18.524 * * [simplify]: iters left: 2 (195 enodes) 18.971 * * [simplify]: iters left: 1 (354 enodes) 19.093 * * [simplify]: Extracting #0: cost 1 inf + 0 19.093 * * [simplify]: Extracting #1: cost 4 inf + 0 19.093 * * [simplify]: Extracting #2: cost 9 inf + 0 19.093 * * [simplify]: Extracting #3: cost 36 inf + 0 19.094 * * [simplify]: Extracting #4: cost 113 inf + 124 19.094 * * [simplify]: Extracting #5: cost 137 inf + 631 19.097 * * [simplify]: Extracting #6: cost 71 inf + 16283 19.104 * * [simplify]: Extracting #7: cost 10 inf + 49987 19.123 * * [simplify]: Extracting #8: cost 0 inf + 57654 19.138 * * [simplify]: Extracting #9: cost 0 inf + 57145 19.150 * * [simplify]: Extracting #10: cost 0 inf + 56935 19.160 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 19.160 * [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))))) 19.160 * * * * [progress]: [ 90 / 127 ] simplifiying candidate # 19.160 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) 19.160 * * [simplify]: iters left: 6 (12 enodes) 19.166 * * [simplify]: iters left: 5 (49 enodes) 19.181 * * [simplify]: iters left: 4 (83 enodes) 19.194 * * [simplify]: iters left: 3 (124 enodes) 19.222 * * [simplify]: iters left: 2 (197 enodes) 19.294 * * [simplify]: iters left: 1 (352 enodes) 19.482 * * [simplify]: Extracting #0: cost 1 inf + 0 19.482 * * [simplify]: Extracting #1: cost 5 inf + 0 19.482 * * [simplify]: Extracting #2: cost 27 inf + 1 19.482 * * [simplify]: Extracting #3: cost 107 inf + 2 19.483 * * [simplify]: Extracting #4: cost 136 inf + 177 19.483 * * [simplify]: Extracting #5: cost 130 inf + 641 19.485 * * [simplify]: Extracting #6: cost 70 inf + 10495 19.489 * * [simplify]: Extracting #7: cost 39 inf + 22866 19.499 * * [simplify]: Extracting #8: cost 5 inf + 50330 19.512 * * [simplify]: Extracting #9: cost 0 inf + 54200 19.532 * * [simplify]: Extracting #10: cost 0 inf + 53889 19.552 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) 19.552 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)))) 19.553 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 19.553 * * [simplify]: iters left: 6 (13 enodes) 19.560 * * [simplify]: iters left: 5 (54 enodes) 19.579 * * [simplify]: iters left: 4 (88 enodes) 19.607 * * [simplify]: iters left: 3 (125 enodes) 19.650 * * [simplify]: iters left: 2 (193 enodes) 19.698 * * [simplify]: iters left: 1 (356 enodes) 19.842 * * [simplify]: Extracting #0: cost 1 inf + 0 19.842 * * [simplify]: Extracting #1: cost 4 inf + 0 19.842 * * [simplify]: Extracting #2: cost 9 inf + 0 19.843 * * [simplify]: Extracting #3: cost 32 inf + 1 19.843 * * [simplify]: Extracting #4: cost 105 inf + 84 19.845 * * [simplify]: Extracting #5: cost 126 inf + 1591 19.851 * * [simplify]: Extracting #6: cost 68 inf + 14727 19.868 * * [simplify]: Extracting #7: cost 10 inf + 40855 19.894 * * [simplify]: Extracting #8: cost 0 inf + 47636 19.921 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)) 19.921 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)))) 19.922 * * * * [progress]: [ 91 / 127 ] simplifiying candidate # 19.922 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 19.922 * * [simplify]: iters left: 6 (6 enodes) 19.925 * * [simplify]: iters left: 5 (22 enodes) 19.932 * * [simplify]: iters left: 4 (26 enodes) 19.937 * * [simplify]: Extracting #0: cost 1 inf + 0 19.937 * * [simplify]: Extracting #1: cost 6 inf + 0 19.937 * * [simplify]: Extracting #2: cost 9 inf + 1 19.937 * * [simplify]: Extracting #3: cost 11 inf + 1 19.937 * * [simplify]: Extracting #4: cost 8 inf + 84 19.937 * * [simplify]: Extracting #5: cost 2 inf + 1013 19.937 * * [simplify]: Extracting #6: cost 0 inf + 1376 19.937 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 19.937 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt k))))) 19.938 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt k))) 19.938 * * [simplify]: iters left: 6 (13 enodes) 19.942 * * [simplify]: iters left: 5 (54 enodes) 19.951 * * [simplify]: iters left: 4 (89 enodes) 19.969 * * [simplify]: iters left: 3 (136 enodes) 20.006 * * [simplify]: iters left: 2 (221 enodes) 20.059 * * [simplify]: iters left: 1 (444 enodes) 20.250 * * [simplify]: Extracting #0: cost 1 inf + 0 20.250 * * [simplify]: Extracting #1: cost 51 inf + 0 20.251 * * [simplify]: Extracting #2: cost 142 inf + 0 20.253 * * [simplify]: Extracting #3: cost 218 inf + 3 20.255 * * [simplify]: Extracting #4: cost 207 inf + 1337 20.262 * * [simplify]: Extracting #5: cost 133 inf + 19274 20.282 * * [simplify]: Extracting #6: cost 32 inf + 94866 20.299 * * [simplify]: Extracting #7: cost 0 inf + 124049 20.325 * * [simplify]: Extracting #8: cost 0 inf + 120814 20.351 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt k))) 20.351 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt k))))) 20.351 * * * * [progress]: [ 92 / 127 ] simplifiying candidate # 20.351 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt k) (cbrt k)))) 20.351 * * [simplify]: iters left: 6 (6 enodes) 20.353 * * [simplify]: iters left: 5 (21 enodes) 20.356 * * [simplify]: iters left: 4 (23 enodes) 20.360 * * [simplify]: Extracting #0: cost 1 inf + 0 20.360 * * [simplify]: Extracting #1: cost 4 inf + 0 20.360 * * [simplify]: Extracting #2: cost 6 inf + 1 20.360 * * [simplify]: Extracting #3: cost 9 inf + 1 20.360 * * [simplify]: Extracting #4: cost 8 inf + 2 20.360 * * [simplify]: Extracting #5: cost 1 inf + 810 20.360 * * [simplify]: Extracting #6: cost 0 inf + 972 20.361 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 20.361 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 20.361 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt k))) 20.362 * * [simplify]: iters left: 6 (13 enodes) 20.366 * * [simplify]: iters left: 5 (54 enodes) 20.381 * * [simplify]: iters left: 4 (89 enodes) 20.409 * * [simplify]: iters left: 3 (136 enodes) 20.454 * * [simplify]: iters left: 2 (221 enodes) 20.543 * * [simplify]: iters left: 1 (444 enodes) 20.759 * * [simplify]: Extracting #0: cost 1 inf + 0 20.759 * * [simplify]: Extracting #1: cost 51 inf + 0 20.760 * * [simplify]: Extracting #2: cost 142 inf + 0 20.761 * * [simplify]: Extracting #3: cost 218 inf + 3 20.762 * * [simplify]: Extracting #4: cost 207 inf + 1377 20.769 * * [simplify]: Extracting #5: cost 133 inf + 19354 20.794 * * [simplify]: Extracting #6: cost 32 inf + 94946 20.828 * * [simplify]: Extracting #7: cost 0 inf + 124129 20.856 * * [simplify]: Extracting #8: cost 0 inf + 120894 20.874 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt k))) 20.874 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 20.875 * * * * [progress]: [ 93 / 127 ] simplifiying candidate # 20.875 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 20.875 * * [simplify]: iters left: 4 (5 enodes) 20.878 * * [simplify]: iters left: 3 (17 enodes) 20.884 * * [simplify]: iters left: 2 (19 enodes) 20.888 * * [simplify]: Extracting #0: cost 1 inf + 0 20.888 * * [simplify]: Extracting #1: cost 4 inf + 0 20.888 * * [simplify]: Extracting #2: cost 5 inf + 1 20.888 * * [simplify]: Extracting #3: cost 7 inf + 1 20.888 * * [simplify]: Extracting #4: cost 0 inf + 490 20.888 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 20.888 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 20.888 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) 20.888 * * [simplify]: iters left: 6 (13 enodes) 20.892 * * [simplify]: iters left: 5 (54 enodes) 20.901 * * [simplify]: iters left: 4 (89 enodes) 20.919 * * [simplify]: iters left: 3 (136 enodes) 20.967 * * [simplify]: iters left: 2 (221 enodes) 21.025 * * [simplify]: iters left: 1 (444 enodes) 21.229 * * [simplify]: Extracting #0: cost 1 inf + 0 21.229 * * [simplify]: Extracting #1: cost 51 inf + 0 21.230 * * [simplify]: Extracting #2: cost 142 inf + 0 21.231 * * [simplify]: Extracting #3: cost 218 inf + 3 21.232 * * [simplify]: Extracting #4: cost 207 inf + 1257 21.237 * * [simplify]: Extracting #5: cost 133 inf + 18954 21.266 * * [simplify]: Extracting #6: cost 32 inf + 92706 21.295 * * [simplify]: Extracting #7: cost 0 inf + 121009 21.313 * * [simplify]: Extracting #8: cost 0 inf + 117774 21.341 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 21.341 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 21.341 * * * * [progress]: [ 94 / 127 ] simplifiying candidate # 21.342 * [simplify]: Simplifying (/ 1 (sqrt 1)) 21.342 * * [simplify]: iters left: 3 (3 enodes) 21.348 * * [simplify]: iters left: 2 (11 enodes) 21.351 * * [simplify]: iters left: 1 (13 enodes) 21.354 * * [simplify]: Extracting #0: cost 1 inf + 0 21.354 * * [simplify]: Extracting #1: cost 0 inf + 1 21.354 * [simplify]: Simplified to 1 21.354 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))) 21.355 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 21.355 * * [simplify]: iters left: 6 (12 enodes) 21.362 * * [simplify]: iters left: 5 (51 enodes) 21.382 * * [simplify]: iters left: 4 (86 enodes) 21.411 * * [simplify]: iters left: 3 (133 enodes) 21.448 * * [simplify]: iters left: 2 (218 enodes) 21.511 * * [simplify]: iters left: 1 (444 enodes) 21.720 * * [simplify]: Extracting #0: cost 1 inf + 0 21.721 * * [simplify]: Extracting #1: cost 39 inf + 0 21.722 * * [simplify]: Extracting #2: cost 126 inf + 0 21.723 * * [simplify]: Extracting #3: cost 201 inf + 4 21.725 * * [simplify]: Extracting #4: cost 189 inf + 1508 21.730 * * [simplify]: Extracting #5: cost 135 inf + 9951 21.740 * * [simplify]: Extracting #6: cost 51 inf + 62585 21.755 * * [simplify]: Extracting #7: cost 2 inf + 102691 21.779 * * [simplify]: Extracting #8: cost 0 inf + 104433 21.795 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) 21.795 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))) 21.795 * * * * [progress]: [ 95 / 127 ] simplifiying candidate # 21.795 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 21.795 * * [simplify]: iters left: 4 (5 enodes) 21.797 * * [simplify]: iters left: 3 (17 enodes) 21.800 * * [simplify]: iters left: 2 (19 enodes) 21.806 * * [simplify]: Extracting #0: cost 1 inf + 0 21.806 * * [simplify]: Extracting #1: cost 4 inf + 0 21.806 * * [simplify]: Extracting #2: cost 5 inf + 1 21.806 * * [simplify]: Extracting #3: cost 7 inf + 1 21.807 * * [simplify]: Extracting #4: cost 0 inf + 490 21.807 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 21.807 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 21.807 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) 21.807 * * [simplify]: iters left: 6 (13 enodes) 21.815 * * [simplify]: iters left: 5 (54 enodes) 21.828 * * [simplify]: iters left: 4 (89 enodes) 21.843 * * [simplify]: iters left: 3 (136 enodes) 21.881 * * [simplify]: iters left: 2 (221 enodes) 21.957 * * [simplify]: iters left: 1 (444 enodes) 22.147 * * [simplify]: Extracting #0: cost 1 inf + 0 22.147 * * [simplify]: Extracting #1: cost 51 inf + 0 22.148 * * [simplify]: Extracting #2: cost 142 inf + 0 22.148 * * [simplify]: Extracting #3: cost 218 inf + 3 22.149 * * [simplify]: Extracting #4: cost 207 inf + 1257 22.153 * * [simplify]: Extracting #5: cost 133 inf + 18954 22.177 * * [simplify]: Extracting #6: cost 32 inf + 92706 22.203 * * [simplify]: Extracting #7: cost 0 inf + 121009 22.224 * * [simplify]: Extracting #8: cost 0 inf + 117774 22.260 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 22.260 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 22.260 * * * * [progress]: [ 96 / 127 ] simplifiying candidate # 22.260 * [simplify]: Simplifying (/ 1 1) 22.260 * * [simplify]: iters left: 2 (2 enodes) 22.262 * * [simplify]: iters left: 1 (6 enodes) 22.265 * * [simplify]: Extracting #0: cost 1 inf + 0 22.265 * * [simplify]: Extracting #1: cost 0 inf + 1 22.265 * [simplify]: Simplified to 1 22.265 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))) 22.265 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 22.265 * * [simplify]: iters left: 6 (12 enodes) 22.272 * * [simplify]: iters left: 5 (51 enodes) 22.282 * * [simplify]: iters left: 4 (86 enodes) 22.297 * * [simplify]: iters left: 3 (133 enodes) 22.328 * * [simplify]: iters left: 2 (218 enodes) 22.384 * * [simplify]: iters left: 1 (444 enodes) 22.586 * * [simplify]: Extracting #0: cost 1 inf + 0 22.586 * * [simplify]: Extracting #1: cost 39 inf + 0 22.587 * * [simplify]: Extracting #2: cost 126 inf + 0 22.588 * * [simplify]: Extracting #3: cost 201 inf + 4 22.591 * * [simplify]: Extracting #4: cost 189 inf + 1508 22.596 * * [simplify]: Extracting #5: cost 135 inf + 9951 22.604 * * [simplify]: Extracting #6: cost 51 inf + 62585 22.623 * * [simplify]: Extracting #7: cost 2 inf + 102691 22.648 * * [simplify]: Extracting #8: cost 0 inf + 104433 22.679 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) 22.679 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))) 22.679 * * * * [progress]: [ 97 / 127 ] simplifiying candidate # 22.680 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 22.680 * * [simplify]: iters left: 6 (15 enodes) 22.689 * * [simplify]: iters left: 5 (65 enodes) 22.711 * * [simplify]: iters left: 4 (109 enodes) 22.748 * * [simplify]: iters left: 3 (185 enodes) 22.806 * * [simplify]: iters left: 2 (368 enodes) 22.918 * * [simplify]: Extracting #0: cost 1 inf + 0 22.919 * * [simplify]: Extracting #1: cost 54 inf + 0 22.919 * * [simplify]: Extracting #2: cost 144 inf + 0 22.920 * * [simplify]: Extracting #3: cost 223 inf + 2 22.921 * * [simplify]: Extracting #4: cost 217 inf + 1415 22.924 * * [simplify]: Extracting #5: cost 166 inf + 8610 22.937 * * [simplify]: Extracting #6: cost 63 inf + 69583 22.968 * * [simplify]: Extracting #7: cost 0 inf + 121597 22.997 * * [simplify]: Extracting #8: cost 0 inf + 120169 23.013 * * [simplify]: Extracting #9: cost 0 inf + 120168 23.037 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 23.037 * [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))))) 23.038 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt k))) 23.038 * * [simplify]: iters left: 6 (14 enodes) 23.045 * * [simplify]: iters left: 5 (60 enodes) 23.056 * * [simplify]: iters left: 4 (98 enodes) 23.072 * * [simplify]: iters left: 3 (157 enodes) 23.112 * * [simplify]: iters left: 2 (290 enodes) 23.181 * * [simplify]: Extracting #0: cost 1 inf + 0 23.181 * * [simplify]: Extracting #1: cost 30 inf + 0 23.181 * * [simplify]: Extracting #2: cost 72 inf + 0 23.182 * * [simplify]: Extracting #3: cost 138 inf + 2 23.182 * * [simplify]: Extracting #4: cost 142 inf + 932 23.185 * * [simplify]: Extracting #5: cost 72 inf + 18422 23.192 * * [simplify]: Extracting #6: cost 10 inf + 45090 23.209 * * [simplify]: Extracting #7: cost 0 inf + 51502 23.222 * * [simplify]: Extracting #8: cost 0 inf + 51262 23.230 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (cbrt (sqrt k))) 23.230 * [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))))) 23.231 * * * * [progress]: [ 98 / 127 ] simplifiying candidate # 23.231 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt k) (cbrt k)))) 23.231 * * [simplify]: iters left: 6 (15 enodes) 23.236 * * [simplify]: iters left: 5 (64 enodes) 23.247 * * [simplify]: iters left: 4 (102 enodes) 23.268 * * [simplify]: iters left: 3 (161 enodes) 23.306 * * [simplify]: iters left: 2 (288 enodes) 23.394 * * [simplify]: Extracting #0: cost 1 inf + 0 23.394 * * [simplify]: Extracting #1: cost 30 inf + 0 23.394 * * [simplify]: Extracting #2: cost 73 inf + 0 23.395 * * [simplify]: Extracting #3: cost 138 inf + 2 23.395 * * [simplify]: Extracting #4: cost 144 inf + 347 23.397 * * [simplify]: Extracting #5: cost 101 inf + 5180 23.403 * * [simplify]: Extracting #6: cost 44 inf + 26188 23.416 * * [simplify]: Extracting #7: cost 7 inf + 54487 23.432 * * [simplify]: Extracting #8: cost 0 inf + 59312 23.445 * * [simplify]: Extracting #9: cost 0 inf + 58534 23.452 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (fabs (cbrt k))) 23.452 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (fabs (cbrt k))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt k))))) 23.453 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt k))) 23.453 * * [simplify]: iters left: 6 (14 enodes) 23.457 * * [simplify]: iters left: 5 (60 enodes) 23.468 * * [simplify]: iters left: 4 (98 enodes) 23.490 * * [simplify]: iters left: 3 (157 enodes) 23.529 * * [simplify]: iters left: 2 (290 enodes) 23.634 * * [simplify]: Extracting #0: cost 1 inf + 0 23.634 * * [simplify]: Extracting #1: cost 30 inf + 0 23.635 * * [simplify]: Extracting #2: cost 72 inf + 0 23.635 * * [simplify]: Extracting #3: cost 138 inf + 2 23.637 * * [simplify]: Extracting #4: cost 142 inf + 932 23.642 * * [simplify]: Extracting #5: cost 72 inf + 18502 23.657 * * [simplify]: Extracting #6: cost 10 inf + 45170 23.674 * * [simplify]: Extracting #7: cost 0 inf + 51582 23.690 * * [simplify]: Extracting #8: cost 0 inf + 51342 23.698 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (cbrt k))) 23.699 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (cbrt k))))) 23.699 * * * * [progress]: [ 99 / 127 ] simplifiying candidate # 23.699 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 23.699 * * [simplify]: iters left: 6 (14 enodes) 23.703 * * [simplify]: iters left: 5 (60 enodes) 23.714 * * [simplify]: iters left: 4 (98 enodes) 23.739 * * [simplify]: iters left: 3 (157 enodes) 23.774 * * [simplify]: iters left: 2 (290 enodes) 23.853 * * [simplify]: Extracting #0: cost 1 inf + 0 23.853 * * [simplify]: Extracting #1: cost 30 inf + 0 23.853 * * [simplify]: Extracting #2: cost 72 inf + 0 23.854 * * [simplify]: Extracting #3: cost 138 inf + 2 23.854 * * [simplify]: Extracting #4: cost 142 inf + 932 23.857 * * [simplify]: Extracting #5: cost 72 inf + 18102 23.864 * * [simplify]: Extracting #6: cost 10 inf + 44010 23.873 * * [simplify]: Extracting #7: cost 0 inf + 50022 23.890 * * [simplify]: Extracting #8: cost 0 inf + 49782 23.906 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 23.906 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))))) 23.907 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 23.907 * * [simplify]: iters left: 6 (14 enodes) 23.915 * * [simplify]: iters left: 5 (60 enodes) 23.935 * * [simplify]: iters left: 4 (98 enodes) 23.971 * * [simplify]: iters left: 3 (157 enodes) 24.002 * * [simplify]: iters left: 2 (290 enodes) 24.116 * * [simplify]: Extracting #0: cost 1 inf + 0 24.116 * * [simplify]: Extracting #1: cost 30 inf + 0 24.116 * * [simplify]: Extracting #2: cost 72 inf + 0 24.117 * * [simplify]: Extracting #3: cost 138 inf + 2 24.118 * * [simplify]: Extracting #4: cost 142 inf + 932 24.121 * * [simplify]: Extracting #5: cost 72 inf + 18102 24.128 * * [simplify]: Extracting #6: cost 10 inf + 44010 24.136 * * [simplify]: Extracting #7: cost 0 inf + 50022 24.145 * * [simplify]: Extracting #8: cost 0 inf + 49782 24.153 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 24.154 * [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))))) 24.154 * * * * [progress]: [ 100 / 127 ] simplifiying candidate # 24.154 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) 24.154 * * [simplify]: iters left: 6 (13 enodes) 24.159 * * [simplify]: iters left: 5 (57 enodes) 24.175 * * [simplify]: iters left: 4 (93 enodes) 24.206 * * [simplify]: iters left: 3 (148 enodes) 24.258 * * [simplify]: iters left: 2 (271 enodes) 24.329 * * [simplify]: iters left: 1 (495 enodes) 24.538 * * [simplify]: Extracting #0: cost 1 inf + 0 24.539 * * [simplify]: Extracting #1: cost 55 inf + 0 24.539 * * [simplify]: Extracting #2: cost 164 inf + 2 24.540 * * [simplify]: Extracting #3: cost 237 inf + 220 24.545 * * [simplify]: Extracting #4: cost 230 inf + 978 24.548 * * [simplify]: Extracting #5: cost 141 inf + 13550 24.556 * * [simplify]: Extracting #6: cost 75 inf + 38571 24.582 * * [simplify]: Extracting #7: cost 10 inf + 93049 24.597 * * [simplify]: Extracting #8: cost 0 inf + 100862 24.612 * * [simplify]: Extracting #9: cost 0 inf + 100439 24.628 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 4)) 24.628 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 24.628 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)) 24.628 * * [simplify]: iters left: 6 (13 enodes) 24.632 * * [simplify]: iters left: 5 (57 enodes) 24.651 * * [simplify]: iters left: 4 (95 enodes) 24.683 * * [simplify]: iters left: 3 (154 enodes) 24.739 * * [simplify]: iters left: 2 (287 enodes) 24.813 * * [simplify]: Extracting #0: cost 1 inf + 0 24.813 * * [simplify]: Extracting #1: cost 30 inf + 0 24.813 * * [simplify]: Extracting #2: cost 73 inf + 0 24.814 * * [simplify]: Extracting #3: cost 136 inf + 3 24.814 * * [simplify]: Extracting #4: cost 132 inf + 1178 24.816 * * [simplify]: Extracting #5: cost 90 inf + 6800 24.821 * * [simplify]: Extracting #6: cost 20 inf + 38881 24.828 * * [simplify]: Extracting #7: cost 0 inf + 54585 24.838 * * [simplify]: Extracting #8: cost 0 inf + 54374 24.853 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt k)) 24.853 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt k)))) 24.853 * * * * [progress]: [ 101 / 127 ] simplifiying candidate # 24.853 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 24.854 * * [simplify]: iters left: 6 (14 enodes) 24.861 * * [simplify]: iters left: 5 (60 enodes) 24.884 * * [simplify]: iters left: 4 (98 enodes) 24.916 * * [simplify]: iters left: 3 (157 enodes) 24.972 * * [simplify]: iters left: 2 (290 enodes) 25.057 * * [simplify]: Extracting #0: cost 1 inf + 0 25.057 * * [simplify]: Extracting #1: cost 30 inf + 0 25.058 * * [simplify]: Extracting #2: cost 72 inf + 0 25.058 * * [simplify]: Extracting #3: cost 138 inf + 2 25.060 * * [simplify]: Extracting #4: cost 142 inf + 932 25.065 * * [simplify]: Extracting #5: cost 72 inf + 18102 25.078 * * [simplify]: Extracting #6: cost 10 inf + 44010 25.087 * * [simplify]: Extracting #7: cost 0 inf + 50022 25.096 * * [simplify]: Extracting #8: cost 0 inf + 49782 25.104 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 25.105 * [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))))) 25.105 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 25.105 * * [simplify]: iters left: 6 (14 enodes) 25.116 * * [simplify]: iters left: 5 (60 enodes) 25.137 * * [simplify]: iters left: 4 (98 enodes) 25.164 * * [simplify]: iters left: 3 (157 enodes) 25.198 * * [simplify]: iters left: 2 (290 enodes) 25.283 * * [simplify]: Extracting #0: cost 1 inf + 0 25.283 * * [simplify]: Extracting #1: cost 30 inf + 0 25.284 * * [simplify]: Extracting #2: cost 72 inf + 0 25.284 * * [simplify]: Extracting #3: cost 138 inf + 2 25.286 * * [simplify]: Extracting #4: cost 142 inf + 932 25.291 * * [simplify]: Extracting #5: cost 72 inf + 18102 25.306 * * [simplify]: Extracting #6: cost 10 inf + 44010 25.323 * * [simplify]: Extracting #7: cost 0 inf + 50022 25.336 * * [simplify]: Extracting #8: cost 0 inf + 49782 25.348 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 25.348 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))))) 25.348 * * * * [progress]: [ 102 / 127 ] simplifiying candidate # 25.348 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) 25.348 * * [simplify]: iters left: 6 (12 enodes) 25.352 * * [simplify]: iters left: 5 (52 enodes) 25.363 * * [simplify]: iters left: 4 (90 enodes) 25.393 * * [simplify]: iters left: 3 (151 enodes) 25.449 * * [simplify]: iters left: 2 (287 enodes) 25.545 * * [simplify]: Extracting #0: cost 1 inf + 0 25.545 * * [simplify]: Extracting #1: cost 31 inf + 0 25.545 * * [simplify]: Extracting #2: cost 99 inf + 2 25.545 * * [simplify]: Extracting #3: cost 141 inf + 219 25.546 * * [simplify]: Extracting #4: cost 141 inf + 641 25.547 * * [simplify]: Extracting #5: cost 86 inf + 6314 25.553 * * [simplify]: Extracting #6: cost 34 inf + 26657 25.566 * * [simplify]: Extracting #7: cost 3 inf + 48037 25.580 * * [simplify]: Extracting #8: cost 0 inf + 50067 25.598 * [simplify]: Simplified to (pow (* (* PI 2) n) (- 1/4 (/ k 4))) 25.598 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 25.598 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)) 25.598 * * [simplify]: iters left: 6 (13 enodes) 25.606 * * [simplify]: iters left: 5 (57 enodes) 25.616 * * [simplify]: iters left: 4 (95 enodes) 25.647 * * [simplify]: iters left: 3 (154 enodes) 25.703 * * [simplify]: iters left: 2 (287 enodes) 25.789 * * [simplify]: Extracting #0: cost 1 inf + 0 25.789 * * [simplify]: Extracting #1: cost 30 inf + 0 25.789 * * [simplify]: Extracting #2: cost 73 inf + 0 25.789 * * [simplify]: Extracting #3: cost 136 inf + 3 25.790 * * [simplify]: Extracting #4: cost 132 inf + 1178 25.792 * * [simplify]: Extracting #5: cost 90 inf + 6800 25.797 * * [simplify]: Extracting #6: cost 20 inf + 38881 25.804 * * [simplify]: Extracting #7: cost 0 inf + 54585 25.811 * * [simplify]: Extracting #8: cost 0 inf + 54374 25.823 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt k)) 25.823 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt k)))) 25.823 * * * * [progress]: [ 103 / 127 ] simplifiying candidate # 25.823 * * * * [progress]: [ 104 / 127 ] simplifiying candidate # 25.823 * * * * [progress]: [ 105 / 127 ] simplifiying candidate # 25.824 * * * * [progress]: [ 106 / 127 ] simplifiying candidate # 25.824 * [simplify]: Simplifying (cbrt (sqrt k)) 25.824 * * [simplify]: iters left: 2 (3 enodes) 25.824 * * [simplify]: iters left: 1 (9 enodes) 25.826 * * [simplify]: Extracting #0: cost 1 inf + 0 25.826 * * [simplify]: Extracting #1: cost 3 inf + 0 25.826 * * [simplify]: Extracting #2: cost 5 inf + 0 25.826 * * [simplify]: Extracting #3: cost 4 inf + 1 25.826 * * [simplify]: Extracting #4: cost 0 inf + 325 25.826 * [simplify]: Simplified to (cbrt (sqrt k)) 25.826 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k)))) 25.826 * * * * [progress]: [ 107 / 127 ] simplifiying candidate # 25.826 * [simplify]: Simplifying (sqrt (cbrt k)) 25.826 * * [simplify]: iters left: 2 (3 enodes) 25.827 * * [simplify]: iters left: 1 (9 enodes) 25.828 * * [simplify]: Extracting #0: cost 1 inf + 0 25.828 * * [simplify]: Extracting #1: cost 3 inf + 0 25.828 * * [simplify]: Extracting #2: cost 5 inf + 0 25.828 * * [simplify]: Extracting #3: cost 4 inf + 1 25.828 * * [simplify]: Extracting #4: cost 0 inf + 405 25.828 * [simplify]: Simplified to (sqrt (cbrt k)) 25.828 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k)))) 25.828 * * * * [progress]: [ 108 / 127 ] simplifiying candidate # 25.828 * [simplify]: Simplifying (sqrt (sqrt k)) 25.828 * * [simplify]: iters left: 2 (3 enodes) 25.829 * * [simplify]: iters left: 1 (9 enodes) 25.830 * * [simplify]: Extracting #0: cost 1 inf + 0 25.830 * * [simplify]: Extracting #1: cost 3 inf + 0 25.830 * * [simplify]: Extracting #2: cost 5 inf + 0 25.830 * * [simplify]: Extracting #3: cost 4 inf + 1 25.830 * * [simplify]: Extracting #4: cost 0 inf + 245 25.830 * [simplify]: Simplified to (sqrt (sqrt k)) 25.830 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 25.831 * * * * [progress]: [ 109 / 127 ] simplifiying candidate # 25.831 * [simplify]: Simplifying (sqrt k) 25.831 * * [simplify]: iters left: 1 (2 enodes) 25.831 * * [simplify]: Extracting #0: cost 1 inf + 0 25.831 * * [simplify]: Extracting #1: cost 3 inf + 0 25.831 * * [simplify]: Extracting #2: cost 2 inf + 1 25.831 * * [simplify]: Extracting #3: cost 0 inf + 83 25.831 * [simplify]: Simplified to (sqrt k) 25.831 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt 1)) (sqrt k))) 25.831 * * * * [progress]: [ 110 / 127 ] simplifiying candidate # 25.832 * [simplify]: Simplifying (sqrt (sqrt k)) 25.832 * * [simplify]: iters left: 2 (3 enodes) 25.832 * * [simplify]: iters left: 1 (9 enodes) 25.833 * * [simplify]: Extracting #0: cost 1 inf + 0 25.833 * * [simplify]: Extracting #1: cost 3 inf + 0 25.833 * * [simplify]: Extracting #2: cost 5 inf + 0 25.833 * * [simplify]: Extracting #3: cost 4 inf + 1 25.833 * * [simplify]: Extracting #4: cost 0 inf + 245 25.834 * [simplify]: Simplified to (sqrt (sqrt k)) 25.834 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 25.834 * * * * [progress]: [ 111 / 127 ] simplifiying candidate # 25.834 * [simplify]: Simplifying (sqrt k) 25.834 * * [simplify]: iters left: 1 (2 enodes) 25.834 * * [simplify]: Extracting #0: cost 1 inf + 0 25.834 * * [simplify]: Extracting #1: cost 3 inf + 0 25.834 * * [simplify]: Extracting #2: cost 2 inf + 1 25.834 * * [simplify]: Extracting #3: cost 0 inf + 83 25.834 * [simplify]: Simplified to (sqrt k) 25.834 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) (sqrt k))) 25.834 * * * * [progress]: [ 112 / 127 ] simplifiying candidate # 25.835 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 25.835 * * [simplify]: iters left: 5 (7 enodes) 25.838 * * [simplify]: iters left: 4 (32 enodes) 25.844 * * [simplify]: iters left: 3 (57 enodes) 25.855 * * [simplify]: iters left: 2 (88 enodes) 25.883 * * [simplify]: iters left: 1 (156 enodes) 25.921 * * [simplify]: Extracting #0: cost 1 inf + 0 25.921 * * [simplify]: Extracting #1: cost 13 inf + 0 25.921 * * [simplify]: Extracting #2: cost 49 inf + 2 25.921 * * [simplify]: Extracting #3: cost 80 inf + 6 25.922 * * [simplify]: Extracting #4: cost 58 inf + 1840 25.923 * * [simplify]: Extracting #5: cost 22 inf + 9206 25.927 * * [simplify]: Extracting #6: cost 1 inf + 20886 25.933 * * [simplify]: Extracting #7: cost 0 inf + 21301 25.939 * * [simplify]: Extracting #8: cost 0 inf + 21130 25.945 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 25.945 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 25.945 * * * * [progress]: [ 113 / 127 ] simplifiying candidate # 25.946 * [simplify]: Simplifying (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 25.946 * * [simplify]: iters left: 6 (12 enodes) 25.953 * * [simplify]: iters left: 5 (51 enodes) 25.970 * * [simplify]: iters left: 4 (84 enodes) 25.993 * * [simplify]: iters left: 3 (125 enodes) 26.014 * * [simplify]: iters left: 2 (198 enodes) 26.087 * * [simplify]: iters left: 1 (353 enodes) 26.245 * * [simplify]: Extracting #0: cost 1 inf + 0 26.245 * * [simplify]: Extracting #1: cost 3 inf + 0 26.245 * * [simplify]: Extracting #2: cost 5 inf + 0 26.245 * * [simplify]: Extracting #3: cost 28 inf + 0 26.246 * * [simplify]: Extracting #4: cost 101 inf + 1 26.246 * * [simplify]: Extracting #5: cost 136 inf + 176 26.247 * * [simplify]: Extracting #6: cost 127 inf + 1730 26.252 * * [simplify]: Extracting #7: cost 68 inf + 14428 26.259 * * [simplify]: Extracting #8: cost 24 inf + 38979 26.277 * * [simplify]: Extracting #9: cost 0 inf + 59741 26.299 * * [simplify]: Extracting #10: cost 0 inf + 57850 26.319 * * [simplify]: Extracting #11: cost 0 inf + 57436 26.340 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 26.340 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 26.341 * * * * [progress]: [ 114 / 127 ] simplifiying candidate # 26.341 * [simplify]: Simplifying (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 26.341 * * [simplify]: iters left: 6 (11 enodes) 26.348 * * [simplify]: iters left: 5 (48 enodes) 26.359 * * [simplify]: iters left: 4 (78 enodes) 26.373 * * [simplify]: iters left: 3 (120 enodes) 26.408 * * [simplify]: iters left: 2 (211 enodes) 26.454 * * [simplify]: iters left: 1 (378 enodes) 26.588 * * [simplify]: Extracting #0: cost 1 inf + 0 26.588 * * [simplify]: Extracting #1: cost 4 inf + 0 26.588 * * [simplify]: Extracting #2: cost 28 inf + 0 26.588 * * [simplify]: Extracting #3: cost 111 inf + 1 26.589 * * [simplify]: Extracting #4: cost 151 inf + 220 26.589 * * [simplify]: Extracting #5: cost 149 inf + 601 26.591 * * [simplify]: Extracting #6: cost 109 inf + 5630 26.596 * * [simplify]: Extracting #7: cost 43 inf + 25793 26.613 * * [simplify]: Extracting #8: cost 5 inf + 52343 26.635 * * [simplify]: Extracting #9: cost 0 inf + 56629 26.656 * * [simplify]: Extracting #10: cost 0 inf + 55972 26.677 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 26.677 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 26.678 * * * * [progress]: [ 115 / 127 ] simplifiying candidate # 26.678 * * * * [progress]: [ 116 / 127 ] simplifiying candidate # 26.678 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 26.678 * * [simplify]: iters left: 6 (11 enodes) 26.685 * * [simplify]: iters left: 5 (51 enodes) 26.702 * * [simplify]: iters left: 4 (87 enodes) 26.720 * * [simplify]: iters left: 3 (143 enodes) 26.748 * * [simplify]: iters left: 2 (259 enodes) 26.802 * * [simplify]: iters left: 1 (467 enodes) 27.024 * * [simplify]: Extracting #0: cost 1 inf + 0 27.024 * * [simplify]: Extracting #1: cost 23 inf + 0 27.024 * * [simplify]: Extracting #2: cost 99 inf + 1 27.026 * * [simplify]: Extracting #3: cost 180 inf + 178 27.028 * * [simplify]: Extracting #4: cost 162 inf + 2505 27.034 * * [simplify]: Extracting #5: cost 78 inf + 12096 27.045 * * [simplify]: Extracting #6: cost 33 inf + 29460 27.064 * * [simplify]: Extracting #7: cost 1 inf + 56926 27.085 * * [simplify]: Extracting #8: cost 0 inf + 57804 27.104 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/4 (- 1 k))) 27.108 * [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))))) 27.108 * * * * [progress]: [ 117 / 127 ] simplifiying candidate # 27.109 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 2)) 27.109 * * [simplify]: iters left: 5 (8 enodes) 27.112 * * [simplify]: iters left: 4 (35 enodes) 27.120 * * [simplify]: iters left: 3 (63 enodes) 27.133 * * [simplify]: iters left: 2 (108 enodes) 27.155 * * [simplify]: iters left: 1 (162 enodes) 27.185 * * [simplify]: Extracting #0: cost 1 inf + 0 27.185 * * [simplify]: Extracting #1: cost 12 inf + 0 27.186 * * [simplify]: Extracting #2: cost 40 inf + 2 27.186 * * [simplify]: Extracting #3: cost 40 inf + 9 27.186 * * [simplify]: Extracting #4: cost 25 inf + 2233 27.187 * * [simplify]: Extracting #5: cost 10 inf + 8991 27.189 * * [simplify]: Extracting #6: cost 0 inf + 14572 27.191 * [simplify]: Simplified to (sqrt (* (* PI 2) n)) 27.191 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* PI 2) n)) (* (sqrt k) (pow (* n (* 2 PI)) (/ k 2))))) 27.192 * * * * [progress]: [ 118 / 127 ] simplifiying candidate #real (real->posit16 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))> 27.192 * * * * [progress]: [ 119 / 127 ] simplifiying candidate # 27.192 * [simplify]: Simplifying (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))))) 27.193 * * [simplify]: iters left: 6 (37 enodes) 27.211 * * [simplify]: iters left: 5 (187 enodes) 27.263 * * [simplify]: iters left: 4 (488 enodes) 27.480 * * [simplify]: Extracting #0: cost 1 inf + 0 27.480 * * [simplify]: Extracting #1: cost 57 inf + 0 27.481 * * [simplify]: Extracting #2: cost 294 inf + 0 27.483 * * [simplify]: Extracting #3: cost 524 inf + 199 27.486 * * [simplify]: Extracting #4: cost 512 inf + 6095 27.504 * * [simplify]: Extracting #5: cost 310 inf + 78036 27.564 * * [simplify]: Extracting #6: cost 40 inf + 220622 27.645 * * [simplify]: Extracting #7: cost 0 inf + 244981 27.730 * * [simplify]: Extracting #8: cost 0 inf + 243455 27.824 * * [simplify]: Extracting #9: cost 0 inf + 243454 27.897 * [simplify]: Simplified to (+ (* (* (* k k) 1/8) (+ (* (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (log (* PI 2))) (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) (+ (exp (* (+ (log n) (log (* PI 2))) 1/2)) (- (* (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (* k k) (* (log n) 1/4))) (* (* 1/2 k) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (+ (log n) (log (* PI 2)))))))) 27.897 * [simplify]: Simplified (2 1) to (λ (k n) (/ (+ (* (* (* k k) 1/8) (+ (* (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (log (* PI 2))) (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) (+ (exp (* (+ (log n) (log (* PI 2))) 1/2)) (- (* (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (* k k) (* (log n) 1/4))) (* (* 1/2 k) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (+ (log n) (log (* PI 2)))))))) (sqrt k))) 27.897 * * * * [progress]: [ 120 / 127 ] simplifiying candidate # 27.898 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 27.898 * * [simplify]: iters left: 6 (15 enodes) 27.909 * * [simplify]: iters left: 5 (65 enodes) 27.931 * * [simplify]: iters left: 4 (123 enodes) 27.958 * * [simplify]: iters left: 3 (361 enodes) 28.091 * * [simplify]: Extracting #0: cost 1 inf + 0 28.092 * * [simplify]: Extracting #1: cost 37 inf + 0 28.093 * * [simplify]: Extracting #2: cost 213 inf + 72 28.095 * * [simplify]: Extracting #3: cost 350 inf + 1716 28.104 * * [simplify]: Extracting #4: cost 221 inf + 30028 28.123 * * [simplify]: Extracting #5: cost 33 inf + 78046 28.138 * * [simplify]: Extracting #6: cost 1 inf + 88785 28.161 * * [simplify]: Extracting #7: cost 0 inf + 88926 28.196 * * [simplify]: Extracting #8: cost 0 inf + 88841 28.227 * [simplify]: Simplified to (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) 28.227 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) (sqrt k))) 28.227 * * * * [progress]: [ 121 / 127 ] simplifiying candidate # 28.227 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 28.228 * * [simplify]: iters left: 6 (16 enodes) 28.238 * * [simplify]: iters left: 5 (67 enodes) 28.262 * * [simplify]: iters left: 4 (134 enodes) 28.316 * * [simplify]: iters left: 3 (407 enodes) 28.515 * * [simplify]: Extracting #0: cost 1 inf + 0 28.516 * * [simplify]: Extracting #1: cost 39 inf + 0 28.517 * * [simplify]: Extracting #2: cost 241 inf + 72 28.520 * * [simplify]: Extracting #3: cost 449 inf + 888 28.528 * * [simplify]: Extracting #4: cost 283 inf + 39678 28.547 * * [simplify]: Extracting #5: cost 24 inf + 116942 28.583 * * [simplify]: Extracting #6: cost 0 inf + 121984 28.609 * * [simplify]: Extracting #7: cost 0 inf + 121983 28.647 * [simplify]: Simplified to (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) 28.647 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) (sqrt k))) 28.647 * * * * [progress]: [ 122 / 127 ] simplifiying candidate # 28.647 * [simplify]: Simplifying (* 2 (* n PI)) 28.647 * * [simplify]: iters left: 4 (5 enodes) 28.649 * * [simplify]: iters left: 3 (19 enodes) 28.652 * * [simplify]: iters left: 2 (27 enodes) 28.656 * * [simplify]: iters left: 1 (32 enodes) 28.660 * * [simplify]: Extracting #0: cost 1 inf + 0 28.661 * * [simplify]: Extracting #1: cost 8 inf + 0 28.661 * * [simplify]: Extracting #2: cost 7 inf + 45 28.661 * * [simplify]: Extracting #3: cost 0 inf + 421 28.661 * [simplify]: Simplified to (* (* PI n) 2) 28.661 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k))) 28.661 * * * * [progress]: [ 123 / 127 ] simplifiying candidate # 28.661 * [simplify]: Simplifying (* 2 (* n PI)) 28.661 * * [simplify]: iters left: 4 (5 enodes) 28.663 * * [simplify]: iters left: 3 (19 enodes) 28.666 * * [simplify]: iters left: 2 (27 enodes) 28.670 * * [simplify]: iters left: 1 (32 enodes) 28.676 * * [simplify]: Extracting #0: cost 1 inf + 0 28.676 * * [simplify]: Extracting #1: cost 8 inf + 0 28.677 * * [simplify]: Extracting #2: cost 7 inf + 45 28.677 * * [simplify]: Extracting #3: cost 0 inf + 421 28.677 * [simplify]: Simplified to (* (* PI n) 2) 28.677 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k))) 28.677 * * * * [progress]: [ 124 / 127 ] simplifiying candidate # 28.678 * [simplify]: Simplifying (* 2 (* n PI)) 28.678 * * [simplify]: iters left: 4 (5 enodes) 28.681 * * [simplify]: iters left: 3 (19 enodes) 28.687 * * [simplify]: iters left: 2 (27 enodes) 28.695 * * [simplify]: iters left: 1 (32 enodes) 28.704 * * [simplify]: Extracting #0: cost 1 inf + 0 28.704 * * [simplify]: Extracting #1: cost 8 inf + 0 28.704 * * [simplify]: Extracting #2: cost 7 inf + 45 28.704 * * [simplify]: Extracting #3: cost 0 inf + 421 28.704 * [simplify]: Simplified to (* (* PI n) 2) 28.704 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k))) 28.704 * * * * [progress]: [ 125 / 127 ] simplifiying candidate # 28.705 * [simplify]: Simplifying (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))))))))))))))))))) 28.705 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 28.705 * * * * [progress]: [ 126 / 127 ] simplifiying candidate # 28.706 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3)))))))) 28.706 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 28.706 * * * * [progress]: [ 127 / 127 ] simplifiying candidate # 28.706 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))))))) 28.706 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 28.706 * * * [progress]: adding candidates to table 30.032 * * [progress]: iteration 2 / 4 30.032 * * * [progress]: picking best candidate 30.057 * * * * [pick]: Picked # 30.057 * * * [progress]: localizing error 30.096 * * * [progress]: generating rewritten candidates 30.096 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 30.127 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 30.137 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 30.163 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 30.202 * * * [progress]: generating series expansions 30.202 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 30.203 * [backup-simplify]: Simplify (pow (* (* 2 PI) n) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) 30.203 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0 30.203 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 30.203 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 30.203 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 30.203 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 30.203 * [taylor]: Taking taylor expansion of 1/2 in k 30.203 * [backup-simplify]: Simplify 1/2 into 1/2 30.203 * [taylor]: Taking taylor expansion of (- 1 k) in k 30.203 * [taylor]: Taking taylor expansion of 1 in k 30.203 * [backup-simplify]: Simplify 1 into 1 30.203 * [taylor]: Taking taylor expansion of k in k 30.203 * [backup-simplify]: Simplify 0 into 0 30.204 * [backup-simplify]: Simplify 1 into 1 30.204 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 30.204 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 30.204 * [taylor]: Taking taylor expansion of 2 in k 30.204 * [backup-simplify]: Simplify 2 into 2 30.204 * [taylor]: Taking taylor expansion of (* n PI) in k 30.204 * [taylor]: Taking taylor expansion of n in k 30.204 * [backup-simplify]: Simplify n into n 30.204 * [taylor]: Taking taylor expansion of PI in k 30.204 * [backup-simplify]: Simplify PI into PI 30.204 * [backup-simplify]: Simplify (* n PI) into (* n PI) 30.204 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 30.204 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 30.204 * [backup-simplify]: Simplify (- 0) into 0 30.205 * [backup-simplify]: Simplify (+ 1 0) into 1 30.205 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 30.205 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 30.206 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 30.206 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 30.206 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 30.206 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 30.206 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 30.206 * [taylor]: Taking taylor expansion of 1/2 in n 30.206 * [backup-simplify]: Simplify 1/2 into 1/2 30.206 * [taylor]: Taking taylor expansion of (- 1 k) in n 30.206 * [taylor]: Taking taylor expansion of 1 in n 30.206 * [backup-simplify]: Simplify 1 into 1 30.206 * [taylor]: Taking taylor expansion of k in n 30.206 * [backup-simplify]: Simplify k into k 30.206 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 30.206 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 30.206 * [taylor]: Taking taylor expansion of 2 in n 30.206 * [backup-simplify]: Simplify 2 into 2 30.206 * [taylor]: Taking taylor expansion of (* n PI) in n 30.206 * [taylor]: Taking taylor expansion of n in n 30.206 * [backup-simplify]: Simplify 0 into 0 30.206 * [backup-simplify]: Simplify 1 into 1 30.206 * [taylor]: Taking taylor expansion of PI in n 30.206 * [backup-simplify]: Simplify PI into PI 30.207 * [backup-simplify]: Simplify (* 0 PI) into 0 30.207 * [backup-simplify]: Simplify (* 2 0) into 0 30.208 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 30.210 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 30.211 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.211 * [backup-simplify]: Simplify (- k) into (- k) 30.211 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 30.211 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 30.212 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 30.213 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 30.214 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 30.214 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 30.214 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 30.214 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 30.215 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 30.215 * [taylor]: Taking taylor expansion of 1/2 in n 30.215 * [backup-simplify]: Simplify 1/2 into 1/2 30.215 * [taylor]: Taking taylor expansion of (- 1 k) in n 30.215 * [taylor]: Taking taylor expansion of 1 in n 30.215 * [backup-simplify]: Simplify 1 into 1 30.215 * [taylor]: Taking taylor expansion of k in n 30.215 * [backup-simplify]: Simplify k into k 30.215 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 30.215 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 30.215 * [taylor]: Taking taylor expansion of 2 in n 30.215 * [backup-simplify]: Simplify 2 into 2 30.215 * [taylor]: Taking taylor expansion of (* n PI) in n 30.215 * [taylor]: Taking taylor expansion of n in n 30.215 * [backup-simplify]: Simplify 0 into 0 30.215 * [backup-simplify]: Simplify 1 into 1 30.215 * [taylor]: Taking taylor expansion of PI in n 30.215 * [backup-simplify]: Simplify PI into PI 30.216 * [backup-simplify]: Simplify (* 0 PI) into 0 30.216 * [backup-simplify]: Simplify (* 2 0) into 0 30.218 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 30.220 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 30.221 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.221 * [backup-simplify]: Simplify (- k) into (- k) 30.221 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 30.221 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 30.222 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 30.223 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 30.225 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 30.225 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 30.225 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 30.225 * [taylor]: Taking taylor expansion of 1/2 in k 30.225 * [backup-simplify]: Simplify 1/2 into 1/2 30.225 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 30.225 * [taylor]: Taking taylor expansion of (- 1 k) in k 30.225 * [taylor]: Taking taylor expansion of 1 in k 30.225 * [backup-simplify]: Simplify 1 into 1 30.225 * [taylor]: Taking taylor expansion of k in k 30.225 * [backup-simplify]: Simplify 0 into 0 30.225 * [backup-simplify]: Simplify 1 into 1 30.225 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 30.225 * [taylor]: Taking taylor expansion of (log n) in k 30.225 * [taylor]: Taking taylor expansion of n in k 30.225 * [backup-simplify]: Simplify n into n 30.225 * [backup-simplify]: Simplify (log n) into (log n) 30.225 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 30.225 * [taylor]: Taking taylor expansion of (* 2 PI) in k 30.225 * [taylor]: Taking taylor expansion of 2 in k 30.225 * [backup-simplify]: Simplify 2 into 2 30.225 * [taylor]: Taking taylor expansion of PI in k 30.225 * [backup-simplify]: Simplify PI into PI 30.226 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.227 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.227 * [backup-simplify]: Simplify (- 0) into 0 30.228 * [backup-simplify]: Simplify (+ 1 0) into 1 30.228 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 30.229 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 30.230 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 30.232 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 30.233 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 30.234 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 30.235 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 30.236 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 30.237 * [backup-simplify]: Simplify (- 0) into 0 30.237 * [backup-simplify]: Simplify (+ 0 0) into 0 30.238 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 30.239 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 30.240 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 30.242 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 30.242 * [taylor]: Taking taylor expansion of 0 in k 30.242 * [backup-simplify]: Simplify 0 into 0 30.242 * [backup-simplify]: Simplify 0 into 0 30.243 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 30.244 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 30.245 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 30.246 * [backup-simplify]: Simplify (+ 0 0) into 0 30.246 * [backup-simplify]: Simplify (- 1) into -1 30.246 * [backup-simplify]: Simplify (+ 0 -1) into -1 30.248 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 30.250 * [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))))) 30.253 * [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))))))) 30.255 * [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))))))) 30.257 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 30.257 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 30.259 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 30.259 * [backup-simplify]: Simplify (- 0) into 0 30.260 * [backup-simplify]: Simplify (+ 0 0) into 0 30.260 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 30.261 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 30.262 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 30.263 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 30.264 * [taylor]: Taking taylor expansion of 0 in k 30.264 * [backup-simplify]: Simplify 0 into 0 30.264 * [backup-simplify]: Simplify 0 into 0 30.264 * [backup-simplify]: Simplify 0 into 0 30.265 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 30.265 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 30.267 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 30.267 * [backup-simplify]: Simplify (+ 0 0) into 0 30.268 * [backup-simplify]: Simplify (- 0) into 0 30.268 * [backup-simplify]: Simplify (+ 0 0) into 0 30.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 30.270 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 30.272 * [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))))) 30.275 * [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))))) 30.280 * [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))))) 30.281 * [backup-simplify]: Simplify (pow (* (* 2 PI) (/ 1 n)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) 30.281 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 30.281 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 30.281 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 30.281 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 30.281 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 30.281 * [taylor]: Taking taylor expansion of 1/2 in k 30.281 * [backup-simplify]: Simplify 1/2 into 1/2 30.281 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 30.281 * [taylor]: Taking taylor expansion of 1 in k 30.281 * [backup-simplify]: Simplify 1 into 1 30.281 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.281 * [taylor]: Taking taylor expansion of k in k 30.281 * [backup-simplify]: Simplify 0 into 0 30.281 * [backup-simplify]: Simplify 1 into 1 30.281 * [backup-simplify]: Simplify (/ 1 1) into 1 30.281 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 30.281 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 30.281 * [taylor]: Taking taylor expansion of 2 in k 30.281 * [backup-simplify]: Simplify 2 into 2 30.281 * [taylor]: Taking taylor expansion of (/ PI n) in k 30.281 * [taylor]: Taking taylor expansion of PI in k 30.281 * [backup-simplify]: Simplify PI into PI 30.281 * [taylor]: Taking taylor expansion of n in k 30.281 * [backup-simplify]: Simplify n into n 30.281 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 30.281 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 30.282 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 30.282 * [backup-simplify]: Simplify (- 1) into -1 30.282 * [backup-simplify]: Simplify (+ 0 -1) into -1 30.282 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 30.282 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 30.282 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 30.283 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 30.283 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 30.283 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 30.283 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 30.283 * [taylor]: Taking taylor expansion of 1/2 in n 30.283 * [backup-simplify]: Simplify 1/2 into 1/2 30.283 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 30.283 * [taylor]: Taking taylor expansion of 1 in n 30.283 * [backup-simplify]: Simplify 1 into 1 30.283 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.283 * [taylor]: Taking taylor expansion of k in n 30.283 * [backup-simplify]: Simplify k into k 30.283 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.283 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 30.283 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 30.283 * [taylor]: Taking taylor expansion of 2 in n 30.283 * [backup-simplify]: Simplify 2 into 2 30.283 * [taylor]: Taking taylor expansion of (/ PI n) in n 30.283 * [taylor]: Taking taylor expansion of PI in n 30.283 * [backup-simplify]: Simplify PI into PI 30.283 * [taylor]: Taking taylor expansion of n in n 30.283 * [backup-simplify]: Simplify 0 into 0 30.283 * [backup-simplify]: Simplify 1 into 1 30.283 * [backup-simplify]: Simplify (/ PI 1) into PI 30.283 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.284 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.284 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 30.284 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 30.284 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 30.285 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 30.286 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 30.287 * [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))))) 30.287 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 30.287 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 30.287 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 30.288 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 30.288 * [taylor]: Taking taylor expansion of 1/2 in n 30.288 * [backup-simplify]: Simplify 1/2 into 1/2 30.288 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 30.288 * [taylor]: Taking taylor expansion of 1 in n 30.288 * [backup-simplify]: Simplify 1 into 1 30.288 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.288 * [taylor]: Taking taylor expansion of k in n 30.288 * [backup-simplify]: Simplify k into k 30.288 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.288 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 30.288 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 30.288 * [taylor]: Taking taylor expansion of 2 in n 30.288 * [backup-simplify]: Simplify 2 into 2 30.288 * [taylor]: Taking taylor expansion of (/ PI n) in n 30.288 * [taylor]: Taking taylor expansion of PI in n 30.288 * [backup-simplify]: Simplify PI into PI 30.288 * [taylor]: Taking taylor expansion of n in n 30.288 * [backup-simplify]: Simplify 0 into 0 30.288 * [backup-simplify]: Simplify 1 into 1 30.288 * [backup-simplify]: Simplify (/ PI 1) into PI 30.289 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.290 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.290 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 30.290 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 30.290 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 30.291 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 30.292 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 30.294 * [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))))) 30.294 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 30.294 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 30.294 * [taylor]: Taking taylor expansion of 1/2 in k 30.294 * [backup-simplify]: Simplify 1/2 into 1/2 30.294 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 30.294 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 30.294 * [taylor]: Taking taylor expansion of 1 in k 30.294 * [backup-simplify]: Simplify 1 into 1 30.294 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.294 * [taylor]: Taking taylor expansion of k in k 30.294 * [backup-simplify]: Simplify 0 into 0 30.294 * [backup-simplify]: Simplify 1 into 1 30.294 * [backup-simplify]: Simplify (/ 1 1) into 1 30.294 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 30.295 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 30.295 * [taylor]: Taking taylor expansion of (* 2 PI) in k 30.295 * [taylor]: Taking taylor expansion of 2 in k 30.295 * [backup-simplify]: Simplify 2 into 2 30.295 * [taylor]: Taking taylor expansion of PI in k 30.295 * [backup-simplify]: Simplify PI into PI 30.295 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.296 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.296 * [taylor]: Taking taylor expansion of (log n) in k 30.296 * [taylor]: Taking taylor expansion of n in k 30.296 * [backup-simplify]: Simplify n into n 30.296 * [backup-simplify]: Simplify (log n) into (log n) 30.296 * [backup-simplify]: Simplify (- 1) into -1 30.297 * [backup-simplify]: Simplify (+ 0 -1) into -1 30.297 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 30.298 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 30.299 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 30.300 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 30.301 * [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))))) 30.302 * [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))))) 30.303 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 30.304 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 30.305 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 30.305 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 30.306 * [backup-simplify]: Simplify (- 0) into 0 30.306 * [backup-simplify]: Simplify (+ 0 0) into 0 30.307 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 30.308 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 30.309 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 30.311 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 30.311 * [taylor]: Taking taylor expansion of 0 in k 30.311 * [backup-simplify]: Simplify 0 into 0 30.311 * [backup-simplify]: Simplify 0 into 0 30.311 * [backup-simplify]: Simplify 0 into 0 30.312 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.313 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 30.316 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 30.316 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 30.317 * [backup-simplify]: Simplify (- 0) into 0 30.317 * [backup-simplify]: Simplify (+ 0 0) into 0 30.324 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 30.326 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 30.327 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 30.329 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 30.329 * [taylor]: Taking taylor expansion of 0 in k 30.330 * [backup-simplify]: Simplify 0 into 0 30.330 * [backup-simplify]: Simplify 0 into 0 30.330 * [backup-simplify]: Simplify 0 into 0 30.330 * [backup-simplify]: Simplify 0 into 0 30.330 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.331 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 30.334 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 30.334 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 30.334 * [backup-simplify]: Simplify (- 0) into 0 30.334 * [backup-simplify]: Simplify (+ 0 0) into 0 30.335 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 30.336 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 30.337 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 30.339 * [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 30.339 * [taylor]: Taking taylor expansion of 0 in k 30.339 * [backup-simplify]: Simplify 0 into 0 30.339 * [backup-simplify]: Simplify 0 into 0 30.339 * [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)))))) 30.340 * [backup-simplify]: Simplify (pow (* (* 2 PI) (/ 1 (- n))) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) 30.340 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 30.340 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 30.340 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 30.340 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 30.340 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 30.340 * [taylor]: Taking taylor expansion of 1/2 in k 30.340 * [backup-simplify]: Simplify 1/2 into 1/2 30.340 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 30.340 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.340 * [taylor]: Taking taylor expansion of k in k 30.340 * [backup-simplify]: Simplify 0 into 0 30.340 * [backup-simplify]: Simplify 1 into 1 30.340 * [backup-simplify]: Simplify (/ 1 1) into 1 30.340 * [taylor]: Taking taylor expansion of 1 in k 30.340 * [backup-simplify]: Simplify 1 into 1 30.340 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 30.340 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 30.340 * [taylor]: Taking taylor expansion of -2 in k 30.340 * [backup-simplify]: Simplify -2 into -2 30.340 * [taylor]: Taking taylor expansion of (/ PI n) in k 30.340 * [taylor]: Taking taylor expansion of PI in k 30.340 * [backup-simplify]: Simplify PI into PI 30.340 * [taylor]: Taking taylor expansion of n in k 30.340 * [backup-simplify]: Simplify n into n 30.340 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 30.340 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 30.341 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 30.341 * [backup-simplify]: Simplify (+ 1 0) into 1 30.341 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 30.341 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 30.341 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 30.341 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 30.341 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 30.341 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 30.341 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 30.341 * [taylor]: Taking taylor expansion of 1/2 in n 30.341 * [backup-simplify]: Simplify 1/2 into 1/2 30.341 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 30.341 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.341 * [taylor]: Taking taylor expansion of k in n 30.341 * [backup-simplify]: Simplify k into k 30.341 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.341 * [taylor]: Taking taylor expansion of 1 in n 30.342 * [backup-simplify]: Simplify 1 into 1 30.342 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 30.342 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 30.342 * [taylor]: Taking taylor expansion of -2 in n 30.342 * [backup-simplify]: Simplify -2 into -2 30.342 * [taylor]: Taking taylor expansion of (/ PI n) in n 30.342 * [taylor]: Taking taylor expansion of PI in n 30.342 * [backup-simplify]: Simplify PI into PI 30.342 * [taylor]: Taking taylor expansion of n in n 30.342 * [backup-simplify]: Simplify 0 into 0 30.342 * [backup-simplify]: Simplify 1 into 1 30.342 * [backup-simplify]: Simplify (/ PI 1) into PI 30.342 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 30.343 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 30.343 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 30.343 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 30.344 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 30.344 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 30.345 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 30.345 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 30.345 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 30.345 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 30.345 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 30.345 * [taylor]: Taking taylor expansion of 1/2 in n 30.345 * [backup-simplify]: Simplify 1/2 into 1/2 30.345 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 30.345 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.345 * [taylor]: Taking taylor expansion of k in n 30.345 * [backup-simplify]: Simplify k into k 30.345 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.345 * [taylor]: Taking taylor expansion of 1 in n 30.345 * [backup-simplify]: Simplify 1 into 1 30.345 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 30.345 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 30.345 * [taylor]: Taking taylor expansion of -2 in n 30.345 * [backup-simplify]: Simplify -2 into -2 30.345 * [taylor]: Taking taylor expansion of (/ PI n) in n 30.345 * [taylor]: Taking taylor expansion of PI in n 30.345 * [backup-simplify]: Simplify PI into PI 30.345 * [taylor]: Taking taylor expansion of n in n 30.345 * [backup-simplify]: Simplify 0 into 0 30.345 * [backup-simplify]: Simplify 1 into 1 30.346 * [backup-simplify]: Simplify (/ PI 1) into PI 30.346 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 30.347 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 30.347 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 30.347 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 30.347 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 30.348 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 30.349 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 30.349 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 30.349 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 30.349 * [taylor]: Taking taylor expansion of 1/2 in k 30.349 * [backup-simplify]: Simplify 1/2 into 1/2 30.349 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 30.349 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 30.349 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.349 * [taylor]: Taking taylor expansion of k in k 30.349 * [backup-simplify]: Simplify 0 into 0 30.349 * [backup-simplify]: Simplify 1 into 1 30.349 * [backup-simplify]: Simplify (/ 1 1) into 1 30.349 * [taylor]: Taking taylor expansion of 1 in k 30.349 * [backup-simplify]: Simplify 1 into 1 30.349 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 30.349 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 30.349 * [taylor]: Taking taylor expansion of (* -2 PI) in k 30.349 * [taylor]: Taking taylor expansion of -2 in k 30.349 * [backup-simplify]: Simplify -2 into -2 30.349 * [taylor]: Taking taylor expansion of PI in k 30.349 * [backup-simplify]: Simplify PI into PI 30.350 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 30.350 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 30.350 * [taylor]: Taking taylor expansion of (log n) in k 30.350 * [taylor]: Taking taylor expansion of n in k 30.350 * [backup-simplify]: Simplify n into n 30.350 * [backup-simplify]: Simplify (log n) into (log n) 30.351 * [backup-simplify]: Simplify (+ 1 0) into 1 30.351 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 30.351 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 30.352 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 30.352 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 30.353 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 30.354 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 30.354 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 30.355 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 30.356 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 30.356 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 30.356 * [backup-simplify]: Simplify (+ 0 0) into 0 30.356 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 30.357 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 30.358 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 30.360 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 30.360 * [taylor]: Taking taylor expansion of 0 in k 30.360 * [backup-simplify]: Simplify 0 into 0 30.360 * [backup-simplify]: Simplify 0 into 0 30.360 * [backup-simplify]: Simplify 0 into 0 30.362 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.362 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 30.366 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0 30.366 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 30.367 * [backup-simplify]: Simplify (+ 0 0) into 0 30.368 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 30.369 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 30.371 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 30.373 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 30.373 * [taylor]: Taking taylor expansion of 0 in k 30.373 * [backup-simplify]: Simplify 0 into 0 30.373 * [backup-simplify]: Simplify 0 into 0 30.374 * [backup-simplify]: Simplify 0 into 0 30.374 * [backup-simplify]: Simplify 0 into 0 30.375 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.376 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 30.382 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 PI) 1)))) 6) into 0 30.382 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 30.383 * [backup-simplify]: Simplify (+ 0 0) into 0 30.384 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 30.385 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 30.387 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 30.390 * [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 30.390 * [taylor]: Taking taylor expansion of 0 in k 30.390 * [backup-simplify]: Simplify 0 into 0 30.390 * [backup-simplify]: Simplify 0 into 0 30.391 * [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)))))) 30.391 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 30.391 * [backup-simplify]: Simplify (/ 1 (sqrt k)) into (sqrt (/ 1 k)) 30.391 * [approximate]: Taking taylor expansion of (sqrt (/ 1 k)) in (k) around 0 30.392 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 30.392 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.392 * [taylor]: Taking taylor expansion of k in k 30.392 * [backup-simplify]: Simplify 0 into 0 30.392 * [backup-simplify]: Simplify 1 into 1 30.392 * [backup-simplify]: Simplify (/ 1 1) into 1 30.392 * [backup-simplify]: Simplify (sqrt 0) into 0 30.394 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 30.394 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 30.394 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.394 * [taylor]: Taking taylor expansion of k in k 30.394 * [backup-simplify]: Simplify 0 into 0 30.394 * [backup-simplify]: Simplify 1 into 1 30.394 * [backup-simplify]: Simplify (/ 1 1) into 1 30.395 * [backup-simplify]: Simplify (sqrt 0) into 0 30.396 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 30.396 * [backup-simplify]: Simplify 0 into 0 30.396 * [backup-simplify]: Simplify +nan.0 into +nan.0 30.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 30.400 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 30.400 * [backup-simplify]: Simplify +nan.0 into +nan.0 30.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.405 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 30.405 * [backup-simplify]: Simplify +nan.0 into +nan.0 30.405 * [backup-simplify]: Simplify (+ (* +nan.0 (pow k 2)) (+ (* +nan.0 k) +nan.0)) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 30.405 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 k))) into (sqrt k) 30.405 * [approximate]: Taking taylor expansion of (sqrt k) in (k) around 0 30.405 * [taylor]: Taking taylor expansion of (sqrt k) in k 30.405 * [taylor]: Taking taylor expansion of k in k 30.405 * [backup-simplify]: Simplify 0 into 0 30.405 * [backup-simplify]: Simplify 1 into 1 30.405 * [backup-simplify]: Simplify (sqrt 0) into 0 30.406 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 30.406 * [taylor]: Taking taylor expansion of (sqrt k) in k 30.406 * [taylor]: Taking taylor expansion of k in k 30.406 * [backup-simplify]: Simplify 0 into 0 30.406 * [backup-simplify]: Simplify 1 into 1 30.407 * [backup-simplify]: Simplify (sqrt 0) into 0 30.407 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 30.407 * [backup-simplify]: Simplify 0 into 0 30.407 * [backup-simplify]: Simplify +nan.0 into +nan.0 30.409 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 30.409 * [backup-simplify]: Simplify +nan.0 into +nan.0 30.411 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 30.411 * [backup-simplify]: Simplify +nan.0 into +nan.0 30.412 * [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)))))))) 30.412 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 (- k)))) into (/ 1 (sqrt (/ -1 k))) 30.412 * [approximate]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in (k) around 0 30.412 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 30.412 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 30.412 * [taylor]: Taking taylor expansion of (/ -1 k) in k 30.412 * [taylor]: Taking taylor expansion of -1 in k 30.412 * [backup-simplify]: Simplify -1 into -1 30.412 * [taylor]: Taking taylor expansion of k in k 30.412 * [backup-simplify]: Simplify 0 into 0 30.412 * [backup-simplify]: Simplify 1 into 1 30.412 * [backup-simplify]: Simplify (/ -1 1) into -1 30.412 * [backup-simplify]: Simplify (sqrt 0) into 0 30.413 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 30.413 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 30.413 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 30.413 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 30.413 * [taylor]: Taking taylor expansion of (/ -1 k) in k 30.413 * [taylor]: Taking taylor expansion of -1 in k 30.414 * [backup-simplify]: Simplify -1 into -1 30.414 * [taylor]: Taking taylor expansion of k in k 30.414 * [backup-simplify]: Simplify 0 into 0 30.414 * [backup-simplify]: Simplify 1 into 1 30.414 * [backup-simplify]: Simplify (/ -1 1) into -1 30.414 * [backup-simplify]: Simplify (sqrt 0) into 0 30.415 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 30.415 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 30.415 * [backup-simplify]: Simplify +nan.0 into +nan.0 30.416 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 30.418 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 30.419 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 30.419 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 30.419 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.422 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 30.424 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 30.424 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 30.425 * [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))))) 30.425 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 30.425 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 30.425 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 30.425 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 30.425 * [taylor]: Taking taylor expansion of 2 in n 30.425 * [backup-simplify]: Simplify 2 into 2 30.425 * [taylor]: Taking taylor expansion of (* n PI) in n 30.425 * [taylor]: Taking taylor expansion of n in n 30.425 * [backup-simplify]: Simplify 0 into 0 30.425 * [backup-simplify]: Simplify 1 into 1 30.425 * [taylor]: Taking taylor expansion of PI in n 30.425 * [backup-simplify]: Simplify PI into PI 30.425 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 30.425 * [taylor]: Taking taylor expansion of 2 in n 30.425 * [backup-simplify]: Simplify 2 into 2 30.425 * [taylor]: Taking taylor expansion of (* n PI) in n 30.425 * [taylor]: Taking taylor expansion of n in n 30.425 * [backup-simplify]: Simplify 0 into 0 30.425 * [backup-simplify]: Simplify 1 into 1 30.425 * [taylor]: Taking taylor expansion of PI in n 30.425 * [backup-simplify]: Simplify PI into PI 30.426 * [backup-simplify]: Simplify (* 0 PI) into 0 30.426 * [backup-simplify]: Simplify (* 2 0) into 0 30.426 * [backup-simplify]: Simplify 0 into 0 30.427 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 30.428 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 30.428 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.433 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 30.434 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 30.435 * [backup-simplify]: Simplify 0 into 0 30.436 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 30.437 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 30.437 * [backup-simplify]: Simplify 0 into 0 30.438 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 30.440 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 30.440 * [backup-simplify]: Simplify 0 into 0 30.441 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 30.443 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 30.443 * [backup-simplify]: Simplify 0 into 0 30.444 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 30.446 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 30.446 * [backup-simplify]: Simplify 0 into 0 30.448 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 30.450 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 30.450 * [backup-simplify]: Simplify 0 into 0 30.450 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 30.451 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 n)) into (* 2 (/ PI n)) 30.451 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 30.451 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 30.451 * [taylor]: Taking taylor expansion of 2 in n 30.451 * [backup-simplify]: Simplify 2 into 2 30.451 * [taylor]: Taking taylor expansion of (/ PI n) in n 30.451 * [taylor]: Taking taylor expansion of PI in n 30.451 * [backup-simplify]: Simplify PI into PI 30.451 * [taylor]: Taking taylor expansion of n in n 30.451 * [backup-simplify]: Simplify 0 into 0 30.451 * [backup-simplify]: Simplify 1 into 1 30.452 * [backup-simplify]: Simplify (/ PI 1) into PI 30.452 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 30.452 * [taylor]: Taking taylor expansion of 2 in n 30.452 * [backup-simplify]: Simplify 2 into 2 30.452 * [taylor]: Taking taylor expansion of (/ PI n) in n 30.452 * [taylor]: Taking taylor expansion of PI in n 30.452 * [backup-simplify]: Simplify PI into PI 30.452 * [taylor]: Taking taylor expansion of n in n 30.452 * [backup-simplify]: Simplify 0 into 0 30.452 * [backup-simplify]: Simplify 1 into 1 30.452 * [backup-simplify]: Simplify (/ PI 1) into PI 30.453 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.453 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.454 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 30.455 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 30.455 * [backup-simplify]: Simplify 0 into 0 30.456 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.457 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 30.457 * [backup-simplify]: Simplify 0 into 0 30.458 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.459 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 30.459 * [backup-simplify]: Simplify 0 into 0 30.461 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.462 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 30.462 * [backup-simplify]: Simplify 0 into 0 30.463 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.464 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 30.464 * [backup-simplify]: Simplify 0 into 0 30.465 * [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 30.467 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 30.467 * [backup-simplify]: Simplify 0 into 0 30.468 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 30.468 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (- n))) into (* -2 (/ PI n)) 30.469 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 30.469 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 30.469 * [taylor]: Taking taylor expansion of -2 in n 30.469 * [backup-simplify]: Simplify -2 into -2 30.469 * [taylor]: Taking taylor expansion of (/ PI n) in n 30.469 * [taylor]: Taking taylor expansion of PI in n 30.469 * [backup-simplify]: Simplify PI into PI 30.469 * [taylor]: Taking taylor expansion of n in n 30.469 * [backup-simplify]: Simplify 0 into 0 30.469 * [backup-simplify]: Simplify 1 into 1 30.469 * [backup-simplify]: Simplify (/ PI 1) into PI 30.469 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 30.469 * [taylor]: Taking taylor expansion of -2 in n 30.469 * [backup-simplify]: Simplify -2 into -2 30.469 * [taylor]: Taking taylor expansion of (/ PI n) in n 30.469 * [taylor]: Taking taylor expansion of PI in n 30.469 * [backup-simplify]: Simplify PI into PI 30.469 * [taylor]: Taking taylor expansion of n in n 30.469 * [backup-simplify]: Simplify 0 into 0 30.469 * [backup-simplify]: Simplify 1 into 1 30.470 * [backup-simplify]: Simplify (/ PI 1) into PI 30.470 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 30.471 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 30.472 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 30.473 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 30.473 * [backup-simplify]: Simplify 0 into 0 30.474 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.475 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 30.475 * [backup-simplify]: Simplify 0 into 0 30.476 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.477 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 30.477 * [backup-simplify]: Simplify 0 into 0 30.477 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.478 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 30.478 * [backup-simplify]: Simplify 0 into 0 30.479 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.479 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 30.480 * [backup-simplify]: Simplify 0 into 0 30.480 * [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 30.481 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 30.481 * [backup-simplify]: Simplify 0 into 0 30.482 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 30.482 * * * * [progress]: [ 4 / 4 ] generating series at (2) 30.482 * [backup-simplify]: Simplify (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) 30.482 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (k n) around 0 30.482 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 30.482 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 30.482 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 30.482 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 30.482 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 30.482 * [taylor]: Taking taylor expansion of 1/2 in n 30.482 * [backup-simplify]: Simplify 1/2 into 1/2 30.482 * [taylor]: Taking taylor expansion of (- 1 k) in n 30.482 * [taylor]: Taking taylor expansion of 1 in n 30.482 * [backup-simplify]: Simplify 1 into 1 30.482 * [taylor]: Taking taylor expansion of k in n 30.482 * [backup-simplify]: Simplify k into k 30.482 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 30.482 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 30.482 * [taylor]: Taking taylor expansion of 2 in n 30.482 * [backup-simplify]: Simplify 2 into 2 30.482 * [taylor]: Taking taylor expansion of (* n PI) in n 30.482 * [taylor]: Taking taylor expansion of n in n 30.482 * [backup-simplify]: Simplify 0 into 0 30.482 * [backup-simplify]: Simplify 1 into 1 30.482 * [taylor]: Taking taylor expansion of PI in n 30.482 * [backup-simplify]: Simplify PI into PI 30.483 * [backup-simplify]: Simplify (* 0 PI) into 0 30.483 * [backup-simplify]: Simplify (* 2 0) into 0 30.484 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 30.485 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 30.485 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.485 * [backup-simplify]: Simplify (- k) into (- k) 30.485 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 30.485 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 30.486 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 30.487 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 30.487 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 30.487 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 30.487 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.487 * [taylor]: Taking taylor expansion of k in n 30.487 * [backup-simplify]: Simplify k into k 30.487 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.487 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 30.488 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 30.488 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 30.488 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 30.488 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 30.488 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 30.488 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 30.488 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 30.488 * [taylor]: Taking taylor expansion of 1/2 in k 30.488 * [backup-simplify]: Simplify 1/2 into 1/2 30.488 * [taylor]: Taking taylor expansion of (- 1 k) in k 30.488 * [taylor]: Taking taylor expansion of 1 in k 30.488 * [backup-simplify]: Simplify 1 into 1 30.488 * [taylor]: Taking taylor expansion of k in k 30.488 * [backup-simplify]: Simplify 0 into 0 30.488 * [backup-simplify]: Simplify 1 into 1 30.488 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 30.488 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 30.488 * [taylor]: Taking taylor expansion of 2 in k 30.488 * [backup-simplify]: Simplify 2 into 2 30.488 * [taylor]: Taking taylor expansion of (* n PI) in k 30.488 * [taylor]: Taking taylor expansion of n in k 30.488 * [backup-simplify]: Simplify n into n 30.488 * [taylor]: Taking taylor expansion of PI in k 30.488 * [backup-simplify]: Simplify PI into PI 30.488 * [backup-simplify]: Simplify (* n PI) into (* n PI) 30.488 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 30.488 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 30.488 * [backup-simplify]: Simplify (- 0) into 0 30.489 * [backup-simplify]: Simplify (+ 1 0) into 1 30.489 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 30.489 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 30.489 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 30.489 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 30.489 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.489 * [taylor]: Taking taylor expansion of k in k 30.489 * [backup-simplify]: Simplify 0 into 0 30.489 * [backup-simplify]: Simplify 1 into 1 30.489 * [backup-simplify]: Simplify (/ 1 1) into 1 30.489 * [backup-simplify]: Simplify (sqrt 0) into 0 30.490 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 30.490 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 30.490 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 30.490 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 30.490 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 30.490 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 30.490 * [taylor]: Taking taylor expansion of 1/2 in k 30.490 * [backup-simplify]: Simplify 1/2 into 1/2 30.491 * [taylor]: Taking taylor expansion of (- 1 k) in k 30.491 * [taylor]: Taking taylor expansion of 1 in k 30.491 * [backup-simplify]: Simplify 1 into 1 30.491 * [taylor]: Taking taylor expansion of k in k 30.491 * [backup-simplify]: Simplify 0 into 0 30.491 * [backup-simplify]: Simplify 1 into 1 30.491 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 30.491 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 30.491 * [taylor]: Taking taylor expansion of 2 in k 30.491 * [backup-simplify]: Simplify 2 into 2 30.491 * [taylor]: Taking taylor expansion of (* n PI) in k 30.491 * [taylor]: Taking taylor expansion of n in k 30.491 * [backup-simplify]: Simplify n into n 30.491 * [taylor]: Taking taylor expansion of PI in k 30.491 * [backup-simplify]: Simplify PI into PI 30.491 * [backup-simplify]: Simplify (* n PI) into (* n PI) 30.491 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 30.491 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 30.491 * [backup-simplify]: Simplify (- 0) into 0 30.491 * [backup-simplify]: Simplify (+ 1 0) into 1 30.492 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 30.492 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 30.492 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 30.492 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 30.492 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.492 * [taylor]: Taking taylor expansion of k in k 30.492 * [backup-simplify]: Simplify 0 into 0 30.492 * [backup-simplify]: Simplify 1 into 1 30.492 * [backup-simplify]: Simplify (/ 1 1) into 1 30.492 * [backup-simplify]: Simplify (sqrt 0) into 0 30.493 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 30.493 * [backup-simplify]: Simplify (* (pow (* 2 (* n PI)) 1/2) 0) into 0 30.493 * [taylor]: Taking taylor expansion of 0 in n 30.493 * [backup-simplify]: Simplify 0 into 0 30.493 * [backup-simplify]: Simplify 0 into 0 30.494 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 30.494 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 30.494 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 30.495 * [backup-simplify]: Simplify (- 1) into -1 30.495 * [backup-simplify]: Simplify (+ 0 -1) into -1 30.495 * [backup-simplify]: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2 30.496 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 30.496 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1)))) into (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) 30.496 * [backup-simplify]: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) 30.496 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 30.496 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 30.496 * [taylor]: Taking taylor expansion of +nan.0 in n 30.496 * [backup-simplify]: Simplify +nan.0 into +nan.0 30.496 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 30.496 * [taylor]: Taking taylor expansion of (sqrt 2) in n 30.496 * [taylor]: Taking taylor expansion of 2 in n 30.496 * [backup-simplify]: Simplify 2 into 2 30.496 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 30.497 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 30.497 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 30.497 * [taylor]: Taking taylor expansion of (* n PI) in n 30.497 * [taylor]: Taking taylor expansion of n in n 30.497 * [backup-simplify]: Simplify 0 into 0 30.497 * [backup-simplify]: Simplify 1 into 1 30.497 * [taylor]: Taking taylor expansion of PI in n 30.497 * [backup-simplify]: Simplify PI into PI 30.497 * [backup-simplify]: Simplify (* 0 PI) into 0 30.498 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 30.498 * [backup-simplify]: Simplify (sqrt 0) into 0 30.499 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 30.499 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 30.500 * [backup-simplify]: Simplify (* +nan.0 0) into 0 30.500 * [backup-simplify]: Simplify (- 0) into 0 30.500 * [backup-simplify]: Simplify 0 into 0 30.500 * [backup-simplify]: Simplify 0 into 0 30.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 30.502 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 30.502 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 30.503 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 30.504 * [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 30.504 * [backup-simplify]: Simplify (- 0) into 0 30.504 * [backup-simplify]: Simplify (+ 0 0) into 0 30.505 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0 30.506 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 30.507 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) 30.507 * [backup-simplify]: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (+ (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) +nan.0) (* (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) 30.508 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) in n 30.508 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))) in n 30.508 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 30.508 * [taylor]: Taking taylor expansion of +nan.0 in n 30.508 * [backup-simplify]: Simplify +nan.0 into +nan.0 30.508 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 30.508 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 30.508 * [taylor]: Taking taylor expansion of (sqrt 2) in n 30.508 * [taylor]: Taking taylor expansion of 2 in n 30.508 * [backup-simplify]: Simplify 2 into 2 30.508 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 30.509 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 30.509 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 30.509 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 30.509 * [taylor]: Taking taylor expansion of 2 in n 30.509 * [backup-simplify]: Simplify 2 into 2 30.509 * [taylor]: Taking taylor expansion of (* n PI) in n 30.509 * [taylor]: Taking taylor expansion of n in n 30.509 * [backup-simplify]: Simplify 0 into 0 30.509 * [backup-simplify]: Simplify 1 into 1 30.509 * [taylor]: Taking taylor expansion of PI in n 30.509 * [backup-simplify]: Simplify PI into PI 30.509 * [backup-simplify]: Simplify (* 0 PI) into 0 30.510 * [backup-simplify]: Simplify (* 2 0) into 0 30.511 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 30.513 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 30.514 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.514 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 30.514 * [taylor]: Taking taylor expansion of (* n PI) in n 30.514 * [taylor]: Taking taylor expansion of n in n 30.514 * [backup-simplify]: Simplify 0 into 0 30.514 * [backup-simplify]: Simplify 1 into 1 30.514 * [taylor]: Taking taylor expansion of PI in n 30.514 * [backup-simplify]: Simplify PI into PI 30.514 * [backup-simplify]: Simplify (* 0 PI) into 0 30.516 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 30.516 * [backup-simplify]: Simplify (sqrt 0) into 0 30.517 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 30.517 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 30.517 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 30.517 * [taylor]: Taking taylor expansion of +nan.0 in n 30.518 * [backup-simplify]: Simplify +nan.0 into +nan.0 30.518 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 30.518 * [taylor]: Taking taylor expansion of (sqrt 2) in n 30.518 * [taylor]: Taking taylor expansion of 2 in n 30.518 * [backup-simplify]: Simplify 2 into 2 30.518 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 30.519 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 30.519 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 30.519 * [taylor]: Taking taylor expansion of (* n PI) in n 30.519 * [taylor]: Taking taylor expansion of n in n 30.519 * [backup-simplify]: Simplify 0 into 0 30.519 * [backup-simplify]: Simplify 1 into 1 30.519 * [taylor]: Taking taylor expansion of PI in n 30.519 * [backup-simplify]: Simplify PI into PI 30.519 * [backup-simplify]: Simplify (* 0 PI) into 0 30.521 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 30.521 * [backup-simplify]: Simplify (sqrt 0) into 0 30.522 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 30.523 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 30.524 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 30.525 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 30.525 * [backup-simplify]: Simplify (* +nan.0 0) into 0 30.525 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 30.525 * [backup-simplify]: Simplify (* +nan.0 0) into 0 30.526 * [backup-simplify]: Simplify (- 0) into 0 30.526 * [backup-simplify]: Simplify (+ 0 0) into 0 30.526 * [backup-simplify]: Simplify (- 0) into 0 30.526 * [backup-simplify]: Simplify 0 into 0 30.528 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 30.531 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 30.533 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 30.534 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 30.534 * [backup-simplify]: Simplify 0 into 0 30.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.537 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 30.538 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 30.538 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 30.545 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 (* n PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 (* n PI)) 1)))) 6) into 0 30.545 * [backup-simplify]: Simplify (- 0) into 0 30.546 * [backup-simplify]: Simplify (+ 0 0) into 0 30.546 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))) into 0 30.547 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0 30.548 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3))) 30.549 * [backup-simplify]: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (+ (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) +nan.0) (+ (* (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) +nan.0) (* (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3))) 0)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))))))) 30.549 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))))))) in n 30.549 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))))))) in n 30.549 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 30.549 * [taylor]: Taking taylor expansion of +nan.0 in n 30.549 * [backup-simplify]: Simplify +nan.0 into +nan.0 30.549 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 30.549 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 30.549 * [taylor]: Taking taylor expansion of (sqrt 2) in n 30.549 * [taylor]: Taking taylor expansion of 2 in n 30.549 * [backup-simplify]: Simplify 2 into 2 30.549 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 30.550 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 30.550 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 30.550 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 30.550 * [taylor]: Taking taylor expansion of 2 in n 30.550 * [backup-simplify]: Simplify 2 into 2 30.550 * [taylor]: Taking taylor expansion of (* n PI) in n 30.550 * [taylor]: Taking taylor expansion of n in n 30.550 * [backup-simplify]: Simplify 0 into 0 30.550 * [backup-simplify]: Simplify 1 into 1 30.550 * [taylor]: Taking taylor expansion of PI in n 30.550 * [backup-simplify]: Simplify PI into PI 30.551 * [backup-simplify]: Simplify (* 0 PI) into 0 30.551 * [backup-simplify]: Simplify (* 2 0) into 0 30.553 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 30.554 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 30.555 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.555 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 30.555 * [taylor]: Taking taylor expansion of (* n PI) in n 30.555 * [taylor]: Taking taylor expansion of n in n 30.555 * [backup-simplify]: Simplify 0 into 0 30.555 * [backup-simplify]: Simplify 1 into 1 30.555 * [taylor]: Taking taylor expansion of PI in n 30.555 * [backup-simplify]: Simplify PI into PI 30.556 * [backup-simplify]: Simplify (* 0 PI) into 0 30.557 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 30.558 * [backup-simplify]: Simplify (sqrt 0) into 0 30.559 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 30.559 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))))) in n 30.559 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))))) in n 30.559 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 30.559 * [taylor]: Taking taylor expansion of +nan.0 in n 30.559 * [backup-simplify]: Simplify +nan.0 into +nan.0 30.559 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 30.559 * [taylor]: Taking taylor expansion of (sqrt 2) in n 30.559 * [taylor]: Taking taylor expansion of 2 in n 30.559 * [backup-simplify]: Simplify 2 into 2 30.560 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 30.560 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 30.560 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 30.560 * [taylor]: Taking taylor expansion of (* n PI) in n 30.560 * [taylor]: Taking taylor expansion of n in n 30.560 * [backup-simplify]: Simplify 0 into 0 30.561 * [backup-simplify]: Simplify 1 into 1 30.561 * [taylor]: Taking taylor expansion of PI in n 30.561 * [backup-simplify]: Simplify PI into PI 30.561 * [backup-simplify]: Simplify (* 0 PI) into 0 30.562 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 30.563 * [backup-simplify]: Simplify (sqrt 0) into 0 30.564 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 30.564 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))) in n 30.564 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n 30.564 * [taylor]: Taking taylor expansion of +nan.0 in n 30.564 * [backup-simplify]: Simplify +nan.0 into +nan.0 30.564 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n 30.564 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n 30.564 * [taylor]: Taking taylor expansion of (sqrt 2) in n 30.564 * [taylor]: Taking taylor expansion of 2 in n 30.564 * [backup-simplify]: Simplify 2 into 2 30.565 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 30.565 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 30.565 * [taylor]: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n 30.565 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 30.565 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 30.565 * [taylor]: Taking taylor expansion of 2 in n 30.565 * [backup-simplify]: Simplify 2 into 2 30.565 * [taylor]: Taking taylor expansion of (* n PI) in n 30.565 * [taylor]: Taking taylor expansion of n in n 30.565 * [backup-simplify]: Simplify 0 into 0 30.565 * [backup-simplify]: Simplify 1 into 1 30.565 * [taylor]: Taking taylor expansion of PI in n 30.565 * [backup-simplify]: Simplify PI into PI 30.566 * [backup-simplify]: Simplify (* 0 PI) into 0 30.566 * [backup-simplify]: Simplify (* 2 0) into 0 30.567 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 30.568 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 30.568 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.569 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 30.569 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 30.569 * [taylor]: Taking taylor expansion of (* n PI) in n 30.569 * [taylor]: Taking taylor expansion of n in n 30.569 * [backup-simplify]: Simplify 0 into 0 30.569 * [backup-simplify]: Simplify 1 into 1 30.569 * [taylor]: Taking taylor expansion of PI in n 30.569 * [backup-simplify]: Simplify PI into PI 30.569 * [backup-simplify]: Simplify (* 0 PI) into 0 30.570 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 30.571 * [backup-simplify]: Simplify (sqrt 0) into 0 30.571 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 30.572 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 30.573 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 30.574 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 30.574 * [backup-simplify]: Simplify (* +nan.0 0) into 0 30.574 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 30.575 * [backup-simplify]: Simplify (* +nan.0 0) into 0 30.576 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 30.576 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 30.578 * [backup-simplify]: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2) 30.579 * [backup-simplify]: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 30.580 * [backup-simplify]: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0 30.580 * [backup-simplify]: Simplify (* +nan.0 0) into 0 30.580 * [backup-simplify]: Simplify (- 0) into 0 30.581 * [backup-simplify]: Simplify (+ 0 0) into 0 30.581 * [backup-simplify]: Simplify (- 0) into 0 30.581 * [backup-simplify]: Simplify (+ 0 0) into 0 30.581 * [backup-simplify]: Simplify (- 0) into 0 30.581 * [backup-simplify]: Simplify 0 into 0 30.582 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 30.583 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 30.584 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 30.584 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 30.585 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 30.587 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) (* +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 30.590 * [backup-simplify]: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 30.592 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 30.596 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 30.599 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 30.608 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) (- (* +nan.0 (* (sqrt 2) PI)))) into (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))))) 30.615 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) 30.622 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) 30.623 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 30.628 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 30.629 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 30.634 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 30.643 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 30.647 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 30.650 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 30.670 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) (* n k)) (* (- (* +nan.0 (* (sqrt 2) PI))) (* n 1)))) into (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))) 30.671 * [backup-simplify]: Simplify (* (/ 1 (sqrt (/ 1 k))) (pow (* (* 2 PI) (/ 1 n)) (/ (- 1 (/ 1 k)) 2))) into (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) 30.671 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (k n) around 0 30.671 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 30.671 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 30.671 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 30.671 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 30.671 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 30.671 * [taylor]: Taking taylor expansion of 1/2 in n 30.671 * [backup-simplify]: Simplify 1/2 into 1/2 30.671 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 30.671 * [taylor]: Taking taylor expansion of 1 in n 30.671 * [backup-simplify]: Simplify 1 into 1 30.671 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.671 * [taylor]: Taking taylor expansion of k in n 30.671 * [backup-simplify]: Simplify k into k 30.671 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.671 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 30.671 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 30.671 * [taylor]: Taking taylor expansion of 2 in n 30.671 * [backup-simplify]: Simplify 2 into 2 30.671 * [taylor]: Taking taylor expansion of (/ PI n) in n 30.671 * [taylor]: Taking taylor expansion of PI in n 30.672 * [backup-simplify]: Simplify PI into PI 30.672 * [taylor]: Taking taylor expansion of n in n 30.672 * [backup-simplify]: Simplify 0 into 0 30.672 * [backup-simplify]: Simplify 1 into 1 30.672 * [backup-simplify]: Simplify (/ PI 1) into PI 30.673 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.673 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.674 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 30.674 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 30.674 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 30.675 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 30.676 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 30.677 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 30.677 * [taylor]: Taking taylor expansion of (sqrt k) in n 30.677 * [taylor]: Taking taylor expansion of k in n 30.677 * [backup-simplify]: Simplify k into k 30.677 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 30.677 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 30.678 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 30.678 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 30.678 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 30.678 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 30.678 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 30.678 * [taylor]: Taking taylor expansion of 1/2 in k 30.678 * [backup-simplify]: Simplify 1/2 into 1/2 30.678 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 30.678 * [taylor]: Taking taylor expansion of 1 in k 30.678 * [backup-simplify]: Simplify 1 into 1 30.678 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.678 * [taylor]: Taking taylor expansion of k in k 30.678 * [backup-simplify]: Simplify 0 into 0 30.678 * [backup-simplify]: Simplify 1 into 1 30.678 * [backup-simplify]: Simplify (/ 1 1) into 1 30.678 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 30.678 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 30.678 * [taylor]: Taking taylor expansion of 2 in k 30.678 * [backup-simplify]: Simplify 2 into 2 30.678 * [taylor]: Taking taylor expansion of (/ PI n) in k 30.678 * [taylor]: Taking taylor expansion of PI in k 30.678 * [backup-simplify]: Simplify PI into PI 30.678 * [taylor]: Taking taylor expansion of n in k 30.678 * [backup-simplify]: Simplify n into n 30.679 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 30.679 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 30.679 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 30.679 * [backup-simplify]: Simplify (- 1) into -1 30.679 * [backup-simplify]: Simplify (+ 0 -1) into -1 30.680 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 30.680 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 30.680 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 30.680 * [taylor]: Taking taylor expansion of (sqrt k) in k 30.680 * [taylor]: Taking taylor expansion of k in k 30.680 * [backup-simplify]: Simplify 0 into 0 30.680 * [backup-simplify]: Simplify 1 into 1 30.681 * [backup-simplify]: Simplify (sqrt 0) into 0 30.682 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 30.682 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 30.682 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 30.682 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 30.682 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 30.682 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 30.682 * [taylor]: Taking taylor expansion of 1/2 in k 30.683 * [backup-simplify]: Simplify 1/2 into 1/2 30.683 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 30.683 * [taylor]: Taking taylor expansion of 1 in k 30.683 * [backup-simplify]: Simplify 1 into 1 30.683 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.683 * [taylor]: Taking taylor expansion of k in k 30.683 * [backup-simplify]: Simplify 0 into 0 30.683 * [backup-simplify]: Simplify 1 into 1 30.683 * [backup-simplify]: Simplify (/ 1 1) into 1 30.683 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 30.683 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 30.683 * [taylor]: Taking taylor expansion of 2 in k 30.683 * [backup-simplify]: Simplify 2 into 2 30.683 * [taylor]: Taking taylor expansion of (/ PI n) in k 30.683 * [taylor]: Taking taylor expansion of PI in k 30.683 * [backup-simplify]: Simplify PI into PI 30.683 * [taylor]: Taking taylor expansion of n in k 30.683 * [backup-simplify]: Simplify n into n 30.683 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 30.683 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 30.684 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 30.684 * [backup-simplify]: Simplify (- 1) into -1 30.684 * [backup-simplify]: Simplify (+ 0 -1) into -1 30.685 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 30.685 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 30.685 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 30.685 * [taylor]: Taking taylor expansion of (sqrt k) in k 30.685 * [taylor]: Taking taylor expansion of k in k 30.685 * [backup-simplify]: Simplify 0 into 0 30.685 * [backup-simplify]: Simplify 1 into 1 30.686 * [backup-simplify]: Simplify (sqrt 0) into 0 30.687 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 30.687 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 0) into 0 30.687 * [taylor]: Taking taylor expansion of 0 in n 30.687 * [backup-simplify]: Simplify 0 into 0 30.687 * [backup-simplify]: Simplify 0 into 0 30.688 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) 30.688 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 30.688 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 30.688 * [taylor]: Taking taylor expansion of +nan.0 in n 30.688 * [backup-simplify]: Simplify +nan.0 into +nan.0 30.688 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 30.688 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 30.688 * [taylor]: Taking taylor expansion of 1/2 in n 30.688 * [backup-simplify]: Simplify 1/2 into 1/2 30.688 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 30.688 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 30.688 * [taylor]: Taking taylor expansion of 1 in n 30.688 * [backup-simplify]: Simplify 1 into 1 30.688 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.688 * [taylor]: Taking taylor expansion of k in n 30.688 * [backup-simplify]: Simplify k into k 30.688 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.688 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 30.688 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 30.688 * [taylor]: Taking taylor expansion of 2 in n 30.688 * [backup-simplify]: Simplify 2 into 2 30.688 * [taylor]: Taking taylor expansion of (/ PI n) in n 30.688 * [taylor]: Taking taylor expansion of PI in n 30.688 * [backup-simplify]: Simplify PI into PI 30.689 * [taylor]: Taking taylor expansion of n in n 30.689 * [backup-simplify]: Simplify 0 into 0 30.689 * [backup-simplify]: Simplify 1 into 1 30.689 * [backup-simplify]: Simplify (/ PI 1) into PI 30.689 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.690 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.690 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 30.691 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 30.692 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 30.693 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 30.694 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 30.695 * [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))))) 30.697 * [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)))))) 30.698 * [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))))))) 30.699 * [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))))))) 30.699 * [backup-simplify]: Simplify 0 into 0 30.702 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 30.703 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) 30.703 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 30.703 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 30.703 * [taylor]: Taking taylor expansion of +nan.0 in n 30.704 * [backup-simplify]: Simplify +nan.0 into +nan.0 30.704 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 30.704 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 30.704 * [taylor]: Taking taylor expansion of 1/2 in n 30.704 * [backup-simplify]: Simplify 1/2 into 1/2 30.704 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 30.704 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 30.704 * [taylor]: Taking taylor expansion of 1 in n 30.704 * [backup-simplify]: Simplify 1 into 1 30.704 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.704 * [taylor]: Taking taylor expansion of k in n 30.704 * [backup-simplify]: Simplify k into k 30.704 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.704 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 30.704 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 30.704 * [taylor]: Taking taylor expansion of 2 in n 30.704 * [backup-simplify]: Simplify 2 into 2 30.704 * [taylor]: Taking taylor expansion of (/ PI n) in n 30.704 * [taylor]: Taking taylor expansion of PI in n 30.704 * [backup-simplify]: Simplify PI into PI 30.704 * [taylor]: Taking taylor expansion of n in n 30.704 * [backup-simplify]: Simplify 0 into 0 30.704 * [backup-simplify]: Simplify 1 into 1 30.705 * [backup-simplify]: Simplify (/ PI 1) into PI 30.705 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.706 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.706 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 30.706 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 30.707 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 30.709 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 30.709 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 30.710 * [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))))) 30.711 * [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)))))) 30.711 * [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))))))) 30.712 * [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))))))) 30.713 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 30.713 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 30.714 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 30.714 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 30.714 * [backup-simplify]: Simplify (- 0) into 0 30.715 * [backup-simplify]: Simplify (+ 0 0) into 0 30.715 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 30.716 * [backup-simplify]: Simplify (+ (* (- 1 (/ 1 k)) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 30.717 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into 0 30.718 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 30.719 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into 0 30.719 * [backup-simplify]: Simplify (- 0) into 0 30.719 * [backup-simplify]: Simplify 0 into 0 30.719 * [backup-simplify]: Simplify 0 into 0 30.721 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 30.722 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) 30.722 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 30.722 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 30.722 * [taylor]: Taking taylor expansion of +nan.0 in n 30.722 * [backup-simplify]: Simplify +nan.0 into +nan.0 30.722 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 30.722 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 30.722 * [taylor]: Taking taylor expansion of 1/2 in n 30.722 * [backup-simplify]: Simplify 1/2 into 1/2 30.722 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 30.722 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 30.722 * [taylor]: Taking taylor expansion of 1 in n 30.722 * [backup-simplify]: Simplify 1 into 1 30.722 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.722 * [taylor]: Taking taylor expansion of k in n 30.722 * [backup-simplify]: Simplify k into k 30.722 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.722 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 30.722 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 30.722 * [taylor]: Taking taylor expansion of 2 in n 30.722 * [backup-simplify]: Simplify 2 into 2 30.722 * [taylor]: Taking taylor expansion of (/ PI n) in n 30.722 * [taylor]: Taking taylor expansion of PI in n 30.722 * [backup-simplify]: Simplify PI into PI 30.722 * [taylor]: Taking taylor expansion of n in n 30.722 * [backup-simplify]: Simplify 0 into 0 30.722 * [backup-simplify]: Simplify 1 into 1 30.723 * [backup-simplify]: Simplify (/ PI 1) into PI 30.723 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.723 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.724 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 30.724 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 30.724 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 30.725 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 30.726 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 30.726 * [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))))) 30.727 * [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)))))) 30.728 * [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))))))) 30.728 * [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))))))) 30.731 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3)))))))) 30.731 * [backup-simplify]: Simplify (* (/ 1 (sqrt (/ 1 (- k)))) (pow (* (* 2 PI) (/ 1 (- n))) (/ (- 1 (/ 1 (- k))) 2))) into (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) 30.731 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (k n) around 0 30.731 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 30.731 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 30.731 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 30.731 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 30.731 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 30.731 * [taylor]: Taking taylor expansion of 1/2 in n 30.731 * [backup-simplify]: Simplify 1/2 into 1/2 30.731 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 30.731 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.731 * [taylor]: Taking taylor expansion of k in n 30.731 * [backup-simplify]: Simplify k into k 30.731 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.731 * [taylor]: Taking taylor expansion of 1 in n 30.731 * [backup-simplify]: Simplify 1 into 1 30.731 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 30.731 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 30.731 * [taylor]: Taking taylor expansion of -2 in n 30.731 * [backup-simplify]: Simplify -2 into -2 30.731 * [taylor]: Taking taylor expansion of (/ PI n) in n 30.731 * [taylor]: Taking taylor expansion of PI in n 30.732 * [backup-simplify]: Simplify PI into PI 30.732 * [taylor]: Taking taylor expansion of n in n 30.732 * [backup-simplify]: Simplify 0 into 0 30.732 * [backup-simplify]: Simplify 1 into 1 30.732 * [backup-simplify]: Simplify (/ PI 1) into PI 30.732 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 30.733 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 30.733 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 30.733 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 30.734 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 30.734 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 30.735 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 30.735 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 30.735 * [taylor]: Taking taylor expansion of (/ -1 k) in n 30.735 * [taylor]: Taking taylor expansion of -1 in n 30.735 * [backup-simplify]: Simplify -1 into -1 30.735 * [taylor]: Taking taylor expansion of k in n 30.735 * [backup-simplify]: Simplify k into k 30.735 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 30.735 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 30.735 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 30.735 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 30.736 * [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))) 30.736 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 30.736 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 30.736 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 30.736 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 30.736 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 30.736 * [taylor]: Taking taylor expansion of 1/2 in k 30.736 * [backup-simplify]: Simplify 1/2 into 1/2 30.736 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 30.736 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.736 * [taylor]: Taking taylor expansion of k in k 30.736 * [backup-simplify]: Simplify 0 into 0 30.736 * [backup-simplify]: Simplify 1 into 1 30.737 * [backup-simplify]: Simplify (/ 1 1) into 1 30.737 * [taylor]: Taking taylor expansion of 1 in k 30.737 * [backup-simplify]: Simplify 1 into 1 30.737 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 30.737 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 30.737 * [taylor]: Taking taylor expansion of -2 in k 30.737 * [backup-simplify]: Simplify -2 into -2 30.737 * [taylor]: Taking taylor expansion of (/ PI n) in k 30.737 * [taylor]: Taking taylor expansion of PI in k 30.737 * [backup-simplify]: Simplify PI into PI 30.737 * [taylor]: Taking taylor expansion of n in k 30.737 * [backup-simplify]: Simplify n into n 30.737 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 30.737 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 30.737 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 30.737 * [backup-simplify]: Simplify (+ 1 0) into 1 30.738 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 30.738 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 30.738 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 30.738 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 30.738 * [taylor]: Taking taylor expansion of (/ -1 k) in k 30.738 * [taylor]: Taking taylor expansion of -1 in k 30.738 * [backup-simplify]: Simplify -1 into -1 30.738 * [taylor]: Taking taylor expansion of k in k 30.738 * [backup-simplify]: Simplify 0 into 0 30.738 * [backup-simplify]: Simplify 1 into 1 30.739 * [backup-simplify]: Simplify (/ -1 1) into -1 30.739 * [backup-simplify]: Simplify (sqrt 0) into 0 30.741 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 30.741 * [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))))) 30.741 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 30.741 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 30.741 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 30.741 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 30.741 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 30.741 * [taylor]: Taking taylor expansion of 1/2 in k 30.741 * [backup-simplify]: Simplify 1/2 into 1/2 30.741 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 30.741 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.741 * [taylor]: Taking taylor expansion of k in k 30.741 * [backup-simplify]: Simplify 0 into 0 30.741 * [backup-simplify]: Simplify 1 into 1 30.741 * [backup-simplify]: Simplify (/ 1 1) into 1 30.742 * [taylor]: Taking taylor expansion of 1 in k 30.742 * [backup-simplify]: Simplify 1 into 1 30.742 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 30.742 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 30.742 * [taylor]: Taking taylor expansion of -2 in k 30.742 * [backup-simplify]: Simplify -2 into -2 30.742 * [taylor]: Taking taylor expansion of (/ PI n) in k 30.742 * [taylor]: Taking taylor expansion of PI in k 30.742 * [backup-simplify]: Simplify PI into PI 30.742 * [taylor]: Taking taylor expansion of n in k 30.742 * [backup-simplify]: Simplify n into n 30.742 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 30.742 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 30.742 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 30.743 * [backup-simplify]: Simplify (+ 1 0) into 1 30.743 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 30.743 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 30.743 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 30.743 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 30.743 * [taylor]: Taking taylor expansion of (/ -1 k) in k 30.743 * [taylor]: Taking taylor expansion of -1 in k 30.743 * [backup-simplify]: Simplify -1 into -1 30.744 * [taylor]: Taking taylor expansion of k in k 30.744 * [backup-simplify]: Simplify 0 into 0 30.744 * [backup-simplify]: Simplify 1 into 1 30.744 * [backup-simplify]: Simplify (/ -1 1) into -1 30.744 * [backup-simplify]: Simplify (sqrt 0) into 0 30.746 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 30.746 * [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))))) 30.746 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 30.746 * [taylor]: Taking taylor expansion of +nan.0 in n 30.746 * [backup-simplify]: Simplify +nan.0 into +nan.0 30.746 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 30.746 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 30.746 * [taylor]: Taking taylor expansion of 1/2 in n 30.746 * [backup-simplify]: Simplify 1/2 into 1/2 30.746 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 30.746 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 30.746 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 30.746 * [taylor]: Taking taylor expansion of -2 in n 30.747 * [backup-simplify]: Simplify -2 into -2 30.747 * [taylor]: Taking taylor expansion of (/ PI n) in n 30.747 * [taylor]: Taking taylor expansion of PI in n 30.747 * [backup-simplify]: Simplify PI into PI 30.747 * [taylor]: Taking taylor expansion of n in n 30.747 * [backup-simplify]: Simplify 0 into 0 30.747 * [backup-simplify]: Simplify 1 into 1 30.747 * [backup-simplify]: Simplify (/ PI 1) into PI 30.748 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 30.749 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 30.749 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 30.749 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.749 * [taylor]: Taking taylor expansion of k in n 30.749 * [backup-simplify]: Simplify k into k 30.749 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.749 * [taylor]: Taking taylor expansion of 1 in n 30.749 * [backup-simplify]: Simplify 1 into 1 30.750 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 30.750 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 30.751 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 30.752 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 30.754 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 30.755 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) 30.756 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) 30.757 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 30.760 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 30.761 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) 30.761 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n 30.761 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 30.761 * [taylor]: Taking taylor expansion of +nan.0 in n 30.761 * [backup-simplify]: Simplify +nan.0 into +nan.0 30.761 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 30.761 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 30.761 * [taylor]: Taking taylor expansion of 1/2 in n 30.761 * [backup-simplify]: Simplify 1/2 into 1/2 30.761 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 30.761 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 30.761 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 30.761 * [taylor]: Taking taylor expansion of -2 in n 30.761 * [backup-simplify]: Simplify -2 into -2 30.761 * [taylor]: Taking taylor expansion of (/ PI n) in n 30.761 * [taylor]: Taking taylor expansion of PI in n 30.761 * [backup-simplify]: Simplify PI into PI 30.761 * [taylor]: Taking taylor expansion of n in n 30.762 * [backup-simplify]: Simplify 0 into 0 30.762 * [backup-simplify]: Simplify 1 into 1 30.762 * [backup-simplify]: Simplify (/ PI 1) into PI 30.762 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 30.763 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 30.763 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 30.763 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.763 * [taylor]: Taking taylor expansion of k in n 30.764 * [backup-simplify]: Simplify k into k 30.764 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.764 * [taylor]: Taking taylor expansion of 1 in n 30.764 * [backup-simplify]: Simplify 1 into 1 30.765 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 30.765 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 30.766 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 30.767 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 30.768 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 30.769 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) 30.770 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) 30.772 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) 30.773 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 30.773 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 30.773 * [backup-simplify]: Simplify (+ 0 0) into 0 30.774 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 30.775 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 30.777 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 30.778 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (/ 1 k) 1))) into 0 30.779 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into 0 30.781 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 30.782 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into 0 30.783 * [backup-simplify]: Simplify 0 into 0 30.790 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.794 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 30.796 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) 30.796 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n 30.796 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 30.796 * [taylor]: Taking taylor expansion of +nan.0 in n 30.796 * [backup-simplify]: Simplify +nan.0 into +nan.0 30.796 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 30.796 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 30.796 * [taylor]: Taking taylor expansion of 1/2 in n 30.796 * [backup-simplify]: Simplify 1/2 into 1/2 30.796 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 30.796 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 30.797 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 30.797 * [taylor]: Taking taylor expansion of -2 in n 30.797 * [backup-simplify]: Simplify -2 into -2 30.797 * [taylor]: Taking taylor expansion of (/ PI n) in n 30.797 * [taylor]: Taking taylor expansion of PI in n 30.797 * [backup-simplify]: Simplify PI into PI 30.797 * [taylor]: Taking taylor expansion of n in n 30.797 * [backup-simplify]: Simplify 0 into 0 30.797 * [backup-simplify]: Simplify 1 into 1 30.797 * [backup-simplify]: Simplify (/ PI 1) into PI 30.798 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 30.799 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 30.799 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 30.799 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.799 * [taylor]: Taking taylor expansion of k in n 30.799 * [backup-simplify]: Simplify k into k 30.799 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.799 * [taylor]: Taking taylor expansion of 1 in n 30.799 * [backup-simplify]: Simplify 1 into 1 30.800 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 30.800 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 30.801 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 30.802 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 30.803 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 30.805 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) 30.806 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) 30.807 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) 30.811 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))))))) 30.811 * * * [progress]: simplifying candidates 30.812 * * * * [progress]: [ 1 / 188 ] simplifiying candidate # 30.812 * [simplify]: Simplifying (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)) 30.812 * * [simplify]: iters left: 6 (13 enodes) 30.820 * * [simplify]: iters left: 5 (54 enodes) 30.837 * * [simplify]: iters left: 4 (97 enodes) 30.866 * * [simplify]: iters left: 3 (246 enodes) 30.942 * * [simplify]: Extracting #0: cost 1 inf + 0 30.942 * * [simplify]: Extracting #1: cost 28 inf + 0 30.942 * * [simplify]: Extracting #2: cost 93 inf + 2 30.943 * * [simplify]: Extracting #3: cost 138 inf + 186 30.944 * * [simplify]: Extracting #4: cost 108 inf + 3370 30.948 * * [simplify]: Extracting #5: cost 33 inf + 22278 30.954 * * [simplify]: Extracting #6: cost 2 inf + 32881 30.960 * * [simplify]: Extracting #7: cost 0 inf + 33789 30.972 * [simplify]: Simplified to (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2) 30.972 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (exp (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2)))) 30.972 * * * * [progress]: [ 2 / 188 ] simplifiying candidate # 30.972 * [simplify]: Simplifying (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)) 30.972 * * [simplify]: iters left: 6 (12 enodes) 30.977 * * [simplify]: iters left: 5 (52 enodes) 30.988 * * [simplify]: iters left: 4 (90 enodes) 31.008 * * [simplify]: iters left: 3 (201 enodes) 31.103 * * [simplify]: iters left: 2 (496 enodes) 31.363 * * [simplify]: Extracting #0: cost 1 inf + 0 31.363 * * [simplify]: Extracting #1: cost 22 inf + 0 31.363 * * [simplify]: Extracting #2: cost 123 inf + 2 31.364 * * [simplify]: Extracting #3: cost 296 inf + 186 31.366 * * [simplify]: Extracting #4: cost 244 inf + 9812 31.375 * * [simplify]: Extracting #5: cost 93 inf + 50654 31.395 * * [simplify]: Extracting #6: cost 0 inf + 82473 31.423 * * [simplify]: Extracting #7: cost 0 inf + 82467 31.443 * [simplify]: Simplified to (/ (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)) 2) 31.443 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (exp (/ (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)) 2)))) 31.443 * * * * [progress]: [ 3 / 188 ] simplifiying candidate # 31.443 * [simplify]: Simplifying (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)) 31.443 * * [simplify]: iters left: 6 (11 enodes) 31.447 * * [simplify]: iters left: 5 (51 enodes) 31.457 * * [simplify]: iters left: 4 (97 enodes) 31.491 * * [simplify]: iters left: 3 (198 enodes) 31.559 * * [simplify]: iters left: 2 (492 enodes) 31.863 * * [simplify]: Extracting #0: cost 1 inf + 0 31.863 * * [simplify]: Extracting #1: cost 27 inf + 0 31.863 * * [simplify]: Extracting #2: cost 138 inf + 2 31.865 * * [simplify]: Extracting #3: cost 300 inf + 352 31.870 * * [simplify]: Extracting #4: cost 251 inf + 8938 31.881 * * [simplify]: Extracting #5: cost 48 inf + 62855 31.899 * * [simplify]: Extracting #6: cost 0 inf + 74672 31.930 * * [simplify]: Extracting #7: cost 0 inf + 74341 31.959 * [simplify]: Simplified to (/ (- (log (* (* 2 PI) n)) (* k (log (* (* 2 PI) n)))) 2) 31.960 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (exp (/ (- (log (* (* 2 PI) n)) (* k (log (* (* 2 PI) n)))) 2)))) 31.960 * * * * [progress]: [ 4 / 188 ] simplifiying candidate # 31.960 * * * * [progress]: [ 5 / 188 ] simplifiying candidate # 31.960 * [simplify]: Simplifying (* (* 2 PI) n) 31.960 * * [simplify]: iters left: 4 (5 enodes) 31.963 * * [simplify]: iters left: 3 (19 enodes) 31.969 * * [simplify]: iters left: 2 (27 enodes) 31.978 * * [simplify]: iters left: 1 (32 enodes) 31.986 * * [simplify]: Extracting #0: cost 1 inf + 0 31.986 * * [simplify]: Extracting #1: cost 8 inf + 0 31.986 * * [simplify]: Extracting #2: cost 7 inf + 45 31.986 * * [simplify]: Extracting #3: cost 0 inf + 421 31.986 * [simplify]: Simplified to (* (* 2 PI) n) 31.986 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2))))) 31.986 * * * * [progress]: [ 6 / 188 ] simplifiying candidate # 31.986 * [simplify]: Simplifying (* (* 2 PI) n) 31.987 * * [simplify]: iters left: 4 (5 enodes) 31.988 * * [simplify]: iters left: 3 (19 enodes) 31.991 * * [simplify]: iters left: 2 (27 enodes) 31.997 * * [simplify]: iters left: 1 (32 enodes) 32.005 * * [simplify]: Extracting #0: cost 1 inf + 0 32.006 * * [simplify]: Extracting #1: cost 8 inf + 0 32.006 * * [simplify]: Extracting #2: cost 7 inf + 45 32.006 * * [simplify]: Extracting #3: cost 0 inf + 421 32.006 * [simplify]: Simplified to (* (* 2 PI) n) 32.006 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2))))) 32.006 * * * * [progress]: [ 7 / 188 ] simplifiying candidate # 32.007 * [simplify]: Simplifying (* (* 2 PI) n) 32.007 * * [simplify]: iters left: 4 (5 enodes) 32.010 * * [simplify]: iters left: 3 (19 enodes) 32.016 * * [simplify]: iters left: 2 (27 enodes) 32.024 * * [simplify]: iters left: 1 (32 enodes) 32.032 * * [simplify]: Extracting #0: cost 1 inf + 0 32.032 * * [simplify]: Extracting #1: cost 8 inf + 0 32.032 * * [simplify]: Extracting #2: cost 7 inf + 45 32.033 * * [simplify]: Extracting #3: cost 0 inf + 421 32.033 * [simplify]: Simplified to (* (* 2 PI) n) 32.033 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2))))) 32.033 * * * * [progress]: [ 8 / 188 ] simplifiying candidate # 32.034 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ k 2)) 32.034 * * [simplify]: iters left: 5 (8 enodes) 32.038 * * [simplify]: iters left: 4 (31 enodes) 32.048 * * [simplify]: iters left: 3 (51 enodes) 32.064 * * [simplify]: iters left: 2 (85 enodes) 32.083 * * [simplify]: iters left: 1 (152 enodes) 32.144 * * [simplify]: Extracting #0: cost 1 inf + 0 32.144 * * [simplify]: Extracting #1: cost 13 inf + 0 32.144 * * [simplify]: Extracting #2: cost 60 inf + 1 32.145 * * [simplify]: Extracting #3: cost 76 inf + 51 32.146 * * [simplify]: Extracting #4: cost 44 inf + 2846 32.149 * * [simplify]: Extracting #5: cost 21 inf + 7590 32.154 * * [simplify]: Extracting #6: cost 1 inf + 20687 32.159 * * [simplify]: Extracting #7: cost 0 inf + 20539 32.165 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 32.165 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (/ (pow (* (* 2 PI) n) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))))) 32.165 * * * * [progress]: [ 9 / 188 ] simplifiying candidate # 32.166 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2)) 32.166 * * [simplify]: iters left: 5 (6 enodes) 32.170 * * [simplify]: iters left: 4 (26 enodes) 32.179 * * [simplify]: iters left: 3 (35 enodes) 32.190 * * [simplify]: Extracting #0: cost 1 inf + 0 32.190 * * [simplify]: Extracting #1: cost 3 inf + 0 32.190 * * [simplify]: Extracting #2: cost 8 inf + 0 32.190 * * [simplify]: Extracting #3: cost 11 inf + 2 32.190 * * [simplify]: Extracting #4: cost 8 inf + 87 32.190 * * [simplify]: Extracting #5: cost 2 inf + 500 32.190 * * [simplify]: Extracting #6: cost 0 inf + 746 32.190 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2)) 32.190 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))))) 32.190 * * * * [progress]: [ 10 / 188 ] simplifiying candidate # 32.191 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2)) 32.191 * * [simplify]: iters left: 5 (6 enodes) 32.193 * * [simplify]: iters left: 4 (26 enodes) 32.198 * * [simplify]: iters left: 3 (35 enodes) 32.203 * * [simplify]: Extracting #0: cost 1 inf + 0 32.203 * * [simplify]: Extracting #1: cost 3 inf + 0 32.203 * * [simplify]: Extracting #2: cost 8 inf + 0 32.203 * * [simplify]: Extracting #3: cost 11 inf + 2 32.203 * * [simplify]: Extracting #4: cost 8 inf + 87 32.204 * * [simplify]: Extracting #5: cost 2 inf + 460 32.204 * * [simplify]: Extracting #6: cost 0 inf + 666 32.204 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2)) 32.204 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))))) 32.204 * * * * [progress]: [ 11 / 188 ] simplifiying candidate # 32.204 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2)) 32.204 * * [simplify]: iters left: 5 (7 enodes) 32.207 * * [simplify]: iters left: 4 (25 enodes) 32.213 * * [simplify]: iters left: 3 (30 enodes) 32.222 * * [simplify]: Extracting #0: cost 1 inf + 0 32.222 * * [simplify]: Extracting #1: cost 4 inf + 0 32.223 * * [simplify]: Extracting #2: cost 8 inf + 0 32.223 * * [simplify]: Extracting #3: cost 10 inf + 82 32.223 * * [simplify]: Extracting #4: cost 7 inf + 206 32.223 * * [simplify]: Extracting #5: cost 2 inf + 575 32.223 * * [simplify]: Extracting #6: cost 1 inf + 818 32.224 * * [simplify]: Extracting #7: cost 0 inf + 1061 32.224 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2)) 32.224 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))))) 32.224 * * * * [progress]: [ 12 / 188 ] simplifiying candidate # 32.224 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2)) 32.225 * * [simplify]: iters left: 5 (7 enodes) 32.227 * * [simplify]: iters left: 4 (25 enodes) 32.231 * * [simplify]: iters left: 3 (30 enodes) 32.236 * * [simplify]: Extracting #0: cost 1 inf + 0 32.236 * * [simplify]: Extracting #1: cost 4 inf + 0 32.236 * * [simplify]: Extracting #2: cost 8 inf + 0 32.236 * * [simplify]: Extracting #3: cost 10 inf + 42 32.236 * * [simplify]: Extracting #4: cost 7 inf + 126 32.237 * * [simplify]: Extracting #5: cost 2 inf + 495 32.237 * * [simplify]: Extracting #6: cost 1 inf + 698 32.237 * * [simplify]: Extracting #7: cost 0 inf + 901 32.237 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2)) 32.237 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2))))) 32.237 * * * * [progress]: [ 13 / 188 ] simplifiying candidate # 32.237 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2) 32.237 * * [simplify]: iters left: 5 (6 enodes) 32.239 * * [simplify]: iters left: 4 (22 enodes) 32.246 * * [simplify]: iters left: 3 (27 enodes) 32.250 * * [simplify]: Extracting #0: cost 1 inf + 0 32.251 * * [simplify]: Extracting #1: cost 4 inf + 0 32.251 * * [simplify]: Extracting #2: cost 5 inf + 1 32.251 * * [simplify]: Extracting #3: cost 9 inf + 1 32.251 * * [simplify]: Extracting #4: cost 8 inf + 3 32.251 * * [simplify]: Extracting #5: cost 4 inf + 169 32.251 * * [simplify]: Extracting #6: cost 1 inf + 576 32.251 * * [simplify]: Extracting #7: cost 0 inf + 739 32.251 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 32.251 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2)))) 32.251 * * * * [progress]: [ 14 / 188 ] simplifiying candidate # 32.252 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2)) 32.252 * * [simplify]: iters left: 5 (7 enodes) 32.254 * * [simplify]: iters left: 4 (25 enodes) 32.263 * * [simplify]: iters left: 3 (30 enodes) 32.271 * * [simplify]: Extracting #0: cost 1 inf + 0 32.271 * * [simplify]: Extracting #1: cost 4 inf + 0 32.271 * * [simplify]: Extracting #2: cost 8 inf + 0 32.271 * * [simplify]: Extracting #3: cost 10 inf + 82 32.271 * * [simplify]: Extracting #4: cost 7 inf + 206 32.271 * * [simplify]: Extracting #5: cost 2 inf + 495 32.272 * * [simplify]: Extracting #6: cost 1 inf + 698 32.272 * * [simplify]: Extracting #7: cost 0 inf + 901 32.272 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2)) 32.272 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2))))) 32.272 * * * * [progress]: [ 15 / 188 ] simplifiying candidate # 32.272 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2)) 32.272 * * [simplify]: iters left: 5 (7 enodes) 32.274 * * [simplify]: iters left: 4 (25 enodes) 32.279 * * [simplify]: iters left: 3 (30 enodes) 32.283 * * [simplify]: Extracting #0: cost 1 inf + 0 32.283 * * [simplify]: Extracting #1: cost 4 inf + 0 32.283 * * [simplify]: Extracting #2: cost 8 inf + 0 32.283 * * [simplify]: Extracting #3: cost 10 inf + 42 32.283 * * [simplify]: Extracting #4: cost 7 inf + 126 32.283 * * [simplify]: Extracting #5: cost 2 inf + 415 32.284 * * [simplify]: Extracting #6: cost 1 inf + 578 32.284 * * [simplify]: Extracting #7: cost 0 inf + 741 32.284 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2)) 32.284 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))))) 32.284 * * * * [progress]: [ 16 / 188 ] simplifiying candidate # 32.284 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2) 32.284 * * [simplify]: iters left: 5 (6 enodes) 32.286 * * [simplify]: iters left: 4 (22 enodes) 32.290 * * [simplify]: iters left: 3 (27 enodes) 32.295 * * [simplify]: Extracting #0: cost 1 inf + 0 32.295 * * [simplify]: Extracting #1: cost 4 inf + 0 32.295 * * [simplify]: Extracting #2: cost 5 inf + 1 32.295 * * [simplify]: Extracting #3: cost 9 inf + 1 32.295 * * [simplify]: Extracting #4: cost 8 inf + 3 32.295 * * [simplify]: Extracting #5: cost 4 inf + 169 32.295 * * [simplify]: Extracting #6: cost 1 inf + 456 32.295 * * [simplify]: Extracting #7: cost 0 inf + 579 32.295 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 32.295 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)))) 32.295 * * * * [progress]: [ 17 / 188 ] simplifiying candidate # 32.296 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 32.296 * * [simplify]: iters left: 4 (6 enodes) 32.298 * * [simplify]: iters left: 3 (25 enodes) 32.307 * * [simplify]: iters left: 2 (36 enodes) 32.319 * * [simplify]: iters left: 1 (40 enodes) 32.331 * * [simplify]: Extracting #0: cost 1 inf + 0 32.331 * * [simplify]: Extracting #1: cost 7 inf + 0 32.331 * * [simplify]: Extracting #2: cost 16 inf + 0 32.331 * * [simplify]: Extracting #3: cost 13 inf + 44 32.331 * * [simplify]: Extracting #4: cost 3 inf + 1103 32.332 * * [simplify]: Extracting #5: cost 0 inf + 1469 32.332 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 32.332 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))))) 32.332 * * * * [progress]: [ 18 / 188 ] simplifiying candidate # 32.333 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 32.333 * * [simplify]: iters left: 4 (6 enodes) 32.336 * * [simplify]: iters left: 3 (25 enodes) 32.345 * * [simplify]: iters left: 2 (36 enodes) 32.356 * * [simplify]: iters left: 1 (40 enodes) 32.369 * * [simplify]: Extracting #0: cost 1 inf + 0 32.369 * * [simplify]: Extracting #1: cost 7 inf + 0 32.369 * * [simplify]: Extracting #2: cost 16 inf + 0 32.369 * * [simplify]: Extracting #3: cost 13 inf + 44 32.370 * * [simplify]: Extracting #4: cost 3 inf + 823 32.370 * * [simplify]: Extracting #5: cost 0 inf + 1069 32.371 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 32.371 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))))) 32.371 * * * * [progress]: [ 19 / 188 ] simplifiying candidate # 32.371 * [simplify]: Simplifying (/ (- 1 k) 2) 32.371 * * [simplify]: iters left: 4 (5 enodes) 32.377 * * [simplify]: iters left: 3 (23 enodes) 32.386 * * [simplify]: iters left: 2 (32 enodes) 32.397 * * [simplify]: Extracting #0: cost 1 inf + 0 32.397 * * [simplify]: Extracting #1: cost 6 inf + 0 32.397 * * [simplify]: Extracting #2: cost 9 inf + 2 32.397 * * [simplify]: Extracting #3: cost 6 inf + 87 32.397 * * [simplify]: Extracting #4: cost 0 inf + 420 32.397 * [simplify]: Simplified to (/ (- 1 k) 2) 32.397 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 1)) (/ (- 1 k) 2)))) 32.398 * * * * [progress]: [ 20 / 188 ] simplifiying candidate # 32.398 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 32.398 * * [simplify]: iters left: 5 (8 enodes) 32.403 * * [simplify]: iters left: 4 (31 enodes) 32.414 * * [simplify]: iters left: 3 (45 enodes) 32.427 * * [simplify]: iters left: 2 (51 enodes) 32.436 * * [simplify]: iters left: 1 (52 enodes) 32.443 * * [simplify]: Extracting #0: cost 1 inf + 0 32.443 * * [simplify]: Extracting #1: cost 8 inf + 0 32.444 * * [simplify]: Extracting #2: cost 18 inf + 0 32.444 * * [simplify]: Extracting #3: cost 19 inf + 2 32.444 * * [simplify]: Extracting #4: cost 9 inf + 977 32.444 * * [simplify]: Extracting #5: cost 2 inf + 1790 32.444 * * [simplify]: Extracting #6: cost 0 inf + 2195 32.445 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 32.445 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))))) 32.445 * * * * [progress]: [ 21 / 188 ] simplifiying candidate # 32.445 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 32.445 * * [simplify]: iters left: 5 (8 enodes) 32.448 * * [simplify]: iters left: 4 (31 enodes) 32.454 * * [simplify]: iters left: 3 (45 enodes) 32.461 * * [simplify]: iters left: 2 (51 enodes) 32.470 * * [simplify]: iters left: 1 (52 enodes) 32.478 * * [simplify]: Extracting #0: cost 1 inf + 0 32.478 * * [simplify]: Extracting #1: cost 8 inf + 0 32.478 * * [simplify]: Extracting #2: cost 18 inf + 0 32.478 * * [simplify]: Extracting #3: cost 19 inf + 2 32.478 * * [simplify]: Extracting #4: cost 9 inf + 697 32.479 * * [simplify]: Extracting #5: cost 2 inf + 1390 32.479 * * [simplify]: Extracting #6: cost 0 inf + 1715 32.479 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 32.479 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))))) 32.479 * * * * [progress]: [ 22 / 188 ] simplifiying candidate # 32.480 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 32.480 * * [simplify]: iters left: 5 (7 enodes) 32.482 * * [simplify]: iters left: 4 (29 enodes) 32.488 * * [simplify]: iters left: 3 (43 enodes) 32.498 * * [simplify]: iters left: 2 (47 enodes) 32.505 * * [simplify]: Extracting #0: cost 1 inf + 0 32.505 * * [simplify]: Extracting #1: cost 7 inf + 0 32.505 * * [simplify]: Extracting #2: cost 11 inf + 2 32.505 * * [simplify]: Extracting #3: cost 13 inf + 3 32.505 * * [simplify]: Extracting #4: cost 11 inf + 45 32.505 * * [simplify]: Extracting #5: cost 0 inf + 1066 32.505 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 32.506 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 32.506 * * * * [progress]: [ 23 / 188 ] simplifiying candidate # 32.506 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 32.506 * * [simplify]: iters left: 5 (7 enodes) 32.510 * * [simplify]: iters left: 4 (28 enodes) 32.520 * * [simplify]: iters left: 3 (39 enodes) 32.527 * * [simplify]: iters left: 2 (43 enodes) 32.533 * * [simplify]: Extracting #0: cost 1 inf + 0 32.533 * * [simplify]: Extracting #1: cost 7 inf + 0 32.533 * * [simplify]: Extracting #2: cost 16 inf + 0 32.533 * * [simplify]: Extracting #3: cost 15 inf + 164 32.533 * * [simplify]: Extracting #4: cost 13 inf + 287 32.534 * * [simplify]: Extracting #5: cost 5 inf + 1180 32.534 * * [simplify]: Extracting #6: cost 0 inf + 1951 32.534 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 32.534 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))))) 32.534 * * * * [progress]: [ 24 / 188 ] simplifiying candidate # 32.534 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 32.534 * * [simplify]: iters left: 5 (7 enodes) 32.537 * * [simplify]: iters left: 4 (28 enodes) 32.541 * * [simplify]: iters left: 3 (39 enodes) 32.548 * * [simplify]: iters left: 2 (43 enodes) 32.560 * * [simplify]: Extracting #0: cost 1 inf + 0 32.560 * * [simplify]: Extracting #1: cost 7 inf + 0 32.560 * * [simplify]: Extracting #2: cost 16 inf + 0 32.561 * * [simplify]: Extracting #3: cost 15 inf + 84 32.561 * * [simplify]: Extracting #4: cost 13 inf + 167 32.561 * * [simplify]: Extracting #5: cost 5 inf + 900 32.562 * * [simplify]: Extracting #6: cost 0 inf + 1551 32.562 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 32.563 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))))) 32.563 * * * * [progress]: [ 25 / 188 ] simplifiying candidate # 32.563 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 32.563 * * [simplify]: iters left: 5 (6 enodes) 32.567 * * [simplify]: iters left: 4 (26 enodes) 32.573 * * [simplify]: iters left: 3 (35 enodes) 32.578 * * [simplify]: Extracting #0: cost 1 inf + 0 32.578 * * [simplify]: Extracting #1: cost 6 inf + 0 32.578 * * [simplify]: Extracting #2: cost 9 inf + 2 32.578 * * [simplify]: Extracting #3: cost 11 inf + 3 32.578 * * [simplify]: Extracting #4: cost 10 inf + 4 32.578 * * [simplify]: Extracting #5: cost 3 inf + 535 32.579 * * [simplify]: Extracting #6: cost 0 inf + 822 32.579 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 32.579 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 32.579 * * * * [progress]: [ 26 / 188 ] simplifiying candidate # 32.579 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 32.579 * * [simplify]: iters left: 4 (6 enodes) 32.581 * * [simplify]: iters left: 3 (25 enodes) 32.586 * * [simplify]: iters left: 2 (36 enodes) 32.591 * * [simplify]: iters left: 1 (40 enodes) 32.600 * * [simplify]: Extracting #0: cost 1 inf + 0 32.600 * * [simplify]: Extracting #1: cost 7 inf + 0 32.600 * * [simplify]: Extracting #2: cost 16 inf + 0 32.600 * * [simplify]: Extracting #3: cost 13 inf + 44 32.600 * * [simplify]: Extracting #4: cost 3 inf + 1103 32.601 * * [simplify]: Extracting #5: cost 0 inf + 1469 32.601 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 32.601 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))))) 32.601 * * * * [progress]: [ 27 / 188 ] simplifiying candidate # 32.601 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 32.601 * * [simplify]: iters left: 4 (6 enodes) 32.605 * * [simplify]: iters left: 3 (25 enodes) 32.614 * * [simplify]: iters left: 2 (36 enodes) 32.626 * * [simplify]: iters left: 1 (40 enodes) 32.634 * * [simplify]: Extracting #0: cost 1 inf + 0 32.634 * * [simplify]: Extracting #1: cost 7 inf + 0 32.634 * * [simplify]: Extracting #2: cost 16 inf + 0 32.634 * * [simplify]: Extracting #3: cost 13 inf + 44 32.635 * * [simplify]: Extracting #4: cost 3 inf + 823 32.635 * * [simplify]: Extracting #5: cost 0 inf + 1069 32.635 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 32.635 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))))) 32.635 * * * * [progress]: [ 28 / 188 ] simplifiying candidate # 32.635 * [simplify]: Simplifying (/ (- 1 k) 2) 32.635 * * [simplify]: iters left: 4 (5 enodes) 32.638 * * [simplify]: iters left: 3 (23 enodes) 32.642 * * [simplify]: iters left: 2 (32 enodes) 32.647 * * [simplify]: Extracting #0: cost 1 inf + 0 32.647 * * [simplify]: Extracting #1: cost 6 inf + 0 32.647 * * [simplify]: Extracting #2: cost 9 inf + 2 32.647 * * [simplify]: Extracting #3: cost 6 inf + 87 32.647 * * [simplify]: Extracting #4: cost 0 inf + 420 32.647 * [simplify]: Simplified to (/ (- 1 k) 2) 32.647 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 1)) (/ (- 1 k) 2)))) 32.647 * * * * [progress]: [ 29 / 188 ] simplifiying candidate # 32.647 * [simplify]: Simplifying (/ (- 1 k) 2) 32.647 * * [simplify]: iters left: 4 (5 enodes) 32.650 * * [simplify]: iters left: 3 (23 enodes) 32.654 * * [simplify]: iters left: 2 (32 enodes) 32.661 * * [simplify]: Extracting #0: cost 1 inf + 0 32.661 * * [simplify]: Extracting #1: cost 6 inf + 0 32.661 * * [simplify]: Extracting #2: cost 9 inf + 2 32.661 * * [simplify]: Extracting #3: cost 6 inf + 87 32.662 * * [simplify]: Extracting #4: cost 0 inf + 420 32.662 * [simplify]: Simplified to (/ (- 1 k) 2) 32.662 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2)))) 32.662 * * * * [progress]: [ 30 / 188 ] simplifiying candidate # 32.662 * [simplify]: Simplifying (/ 1 2) 32.663 * * [simplify]: iters left: 2 (3 enodes) 32.666 * * [simplify]: iters left: 1 (12 enodes) 32.670 * * [simplify]: Extracting #0: cost 1 inf + 0 32.670 * * [simplify]: Extracting #1: cost 0 inf + 1 32.670 * [simplify]: Simplified to 1/2 32.670 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (- 1 k)) 1/2))) 32.670 * * * * [progress]: [ 31 / 188 ] simplifiying candidate # 32.671 * [simplify]: Simplifying (pow (* 2 PI) (/ (- 1 k) 2)) 32.671 * * [simplify]: iters left: 5 (8 enodes) 32.676 * * [simplify]: iters left: 4 (36 enodes) 32.688 * * [simplify]: iters left: 3 (57 enodes) 32.705 * * [simplify]: iters left: 2 (90 enodes) 32.724 * * [simplify]: iters left: 1 (176 enodes) 32.786 * * [simplify]: Extracting #0: cost 1 inf + 0 32.786 * * [simplify]: Extracting #1: cost 13 inf + 0 32.786 * * [simplify]: Extracting #2: cost 55 inf + 1 32.787 * * [simplify]: Extracting #3: cost 86 inf + 6 32.788 * * [simplify]: Extracting #4: cost 68 inf + 2553 32.791 * * [simplify]: Extracting #5: cost 24 inf + 10048 32.797 * * [simplify]: Extracting #6: cost 3 inf + 21580 32.804 * * [simplify]: Extracting #7: cost 0 inf + 23439 32.811 * [simplify]: Simplified to (pow (* 2 PI) (/ (- 1 k) 2)) 32.811 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))))) 32.811 * * * * [progress]: [ 32 / 188 ] simplifiying candidate # 32.811 * * * * [progress]: [ 33 / 188 ] simplifiying candidate # 32.811 * * * * [progress]: [ 34 / 188 ] simplifiying candidate # 32.811 * * * * [progress]: [ 35 / 188 ] simplifiying candidate # 32.811 * * * * [progress]: [ 36 / 188 ] simplifiying candidate # 32.811 * * * * [progress]: [ 37 / 188 ] simplifiying candidate # 32.811 * * * * [progress]: [ 38 / 188 ] simplifiying candidate # 32.811 * * * * [progress]: [ 39 / 188 ] simplifiying candidate # 32.811 * * * * [progress]: [ 40 / 188 ] simplifiying candidate #real (real->posit16 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))> 32.812 * * * * [progress]: [ 41 / 188 ] simplifiying candidate # 32.812 * * * * [progress]: [ 42 / 188 ] simplifiying candidate # 32.812 * [simplify]: Simplifying (- 1/2) 32.812 * * [simplify]: iters left: 2 (2 enodes) 32.814 * * [simplify]: iters left: 1 (7 enodes) 32.817 * * [simplify]: Extracting #0: cost 1 inf + 0 32.817 * * [simplify]: Extracting #1: cost 0 inf + 1 32.817 * [simplify]: Simplified to -1/2 32.817 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 32.817 * * * * [progress]: [ 43 / 188 ] simplifiying candidate # 32.817 * [simplify]: Simplifying (- 1) 32.817 * * [simplify]: iters left: 2 (2 enodes) 32.819 * * [simplify]: iters left: 1 (9 enodes) 32.823 * * [simplify]: Extracting #0: cost 1 inf + 0 32.823 * * [simplify]: Extracting #1: cost 0 inf + 1 32.823 * [simplify]: Simplified to -1 32.823 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (sqrt k) -1) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 32.823 * * * * [progress]: [ 44 / 188 ] simplifiying candidate # 32.823 * [simplify]: Simplifying (- (/ 1 2)) 32.823 * * [simplify]: iters left: 4 (4 enodes) 32.828 * * [simplify]: iters left: 3 (19 enodes) 32.834 * * [simplify]: iters left: 2 (23 enodes) 32.841 * * [simplify]: Extracting #0: cost 1 inf + 0 32.841 * * [simplify]: Extracting #1: cost 0 inf + 1 32.841 * [simplify]: Simplified to -1/2 32.841 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 32.841 * * * * [progress]: [ 45 / 188 ] simplifiying candidate # 32.842 * * * * [progress]: [ 46 / 188 ] simplifiying candidate # 32.842 * * * * [progress]: [ 47 / 188 ] simplifiying candidate # 32.842 * [simplify]: Simplifying (- 0 (log (sqrt k))) 32.842 * * [simplify]: iters left: 4 (5 enodes) 32.845 * * [simplify]: iters left: 3 (17 enodes) 32.854 * * [simplify]: iters left: 2 (21 enodes) 32.857 * * [simplify]: iters left: 1 (23 enodes) 32.861 * * [simplify]: Extracting #0: cost 1 inf + 0 32.861 * * [simplify]: Extracting #1: cost 4 inf + 0 32.861 * * [simplify]: Extracting #2: cost 5 inf + 1 32.861 * * [simplify]: Extracting #3: cost 7 inf + 1 32.861 * * [simplify]: Extracting #4: cost 0 inf + 608 32.861 * [simplify]: Simplified to (- (log (sqrt k))) 32.861 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (log (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 32.861 * * * * [progress]: [ 48 / 188 ] simplifiying candidate # 32.862 * [simplify]: Simplifying (- (log 1) (log (sqrt k))) 32.862 * * [simplify]: iters left: 4 (6 enodes) 32.864 * * [simplify]: iters left: 3 (22 enodes) 32.867 * * [simplify]: Extracting #0: cost 1 inf + 0 32.867 * * [simplify]: Extracting #1: cost 4 inf + 0 32.867 * * [simplify]: Extracting #2: cost 5 inf + 1 32.867 * * [simplify]: Extracting #3: cost 7 inf + 1 32.867 * * [simplify]: Extracting #4: cost 6 inf + 2 32.867 * * [simplify]: Extracting #5: cost 1 inf + 457 32.867 * * [simplify]: Extracting #6: cost 0 inf + 608 32.867 * [simplify]: Simplified to (- (log (sqrt k))) 32.867 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (log (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 32.868 * * * * [progress]: [ 49 / 188 ] simplifiying candidate # 32.868 * * * * [progress]: [ 50 / 188 ] simplifiying candidate # 32.868 * * * * [progress]: [ 51 / 188 ] simplifiying candidate # 32.868 * [simplify]: Simplifying (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))) 32.868 * * [simplify]: iters left: 6 (8 enodes) 32.870 * * [simplify]: iters left: 5 (26 enodes) 32.874 * * [simplify]: iters left: 4 (43 enodes) 32.881 * * [simplify]: iters left: 3 (59 enodes) 32.889 * * [simplify]: iters left: 2 (67 enodes) 32.898 * * [simplify]: iters left: 1 (69 enodes) 32.907 * * [simplify]: Extracting #0: cost 1 inf + 0 32.907 * * [simplify]: Extracting #1: cost 14 inf + 0 32.907 * * [simplify]: Extracting #2: cost 18 inf + 2 32.907 * * [simplify]: Extracting #3: cost 7 inf + 701 32.907 * * [simplify]: Extracting #4: cost 0 inf + 1234 32.908 * [simplify]: Simplified to (/ (/ 1 k) (sqrt k)) 32.908 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (cbrt (/ (/ 1 k) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 32.908 * * * * [progress]: [ 52 / 188 ] simplifiying candidate # 32.908 * * * * [progress]: [ 53 / 188 ] simplifiying candidate # 32.908 * * * * [progress]: [ 54 / 188 ] simplifiying candidate # 32.908 * * * * [progress]: [ 55 / 188 ] simplifiying candidate # 32.908 * * * * [progress]: [ 56 / 188 ] simplifiying candidate # 32.908 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 32.908 * * [simplify]: iters left: 6 (8 enodes) 32.911 * * [simplify]: iters left: 5 (32 enodes) 32.916 * * [simplify]: iters left: 4 (48 enodes) 32.924 * * [simplify]: iters left: 3 (76 enodes) 32.937 * * [simplify]: iters left: 2 (81 enodes) 32.944 * * [simplify]: Extracting #0: cost 1 inf + 0 32.944 * * [simplify]: Extracting #1: cost 6 inf + 0 32.944 * * [simplify]: Extracting #2: cost 9 inf + 1 32.944 * * [simplify]: Extracting #3: cost 11 inf + 1 32.944 * * [simplify]: Extracting #4: cost 2 inf + 1052 32.944 * * [simplify]: Extracting #5: cost 0 inf + 1376 32.945 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 32.945 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1) (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 32.945 * [simplify]: Simplifying (/ (cbrt 1) (cbrt (sqrt k))) 32.945 * * [simplify]: iters left: 4 (6 enodes) 32.947 * * [simplify]: iters left: 3 (20 enodes) 32.950 * * [simplify]: iters left: 2 (22 enodes) 32.953 * * [simplify]: Extracting #0: cost 1 inf + 0 32.953 * * [simplify]: Extracting #1: cost 4 inf + 0 32.953 * * [simplify]: Extracting #2: cost 5 inf + 1 32.953 * * [simplify]: Extracting #3: cost 7 inf + 1 32.953 * * [simplify]: Extracting #4: cost 1 inf + 488 32.953 * * [simplify]: Extracting #5: cost 0 inf + 650 32.953 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 32.953 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 32.953 * * * * [progress]: [ 57 / 188 ] simplifiying candidate # 32.954 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) 32.954 * * [simplify]: iters left: 6 (8 enodes) 32.956 * * [simplify]: iters left: 5 (29 enodes) 32.965 * * [simplify]: iters left: 4 (31 enodes) 32.971 * * [simplify]: Extracting #0: cost 1 inf + 0 32.971 * * [simplify]: Extracting #1: cost 4 inf + 0 32.971 * * [simplify]: Extracting #2: cost 6 inf + 1 32.971 * * [simplify]: Extracting #3: cost 9 inf + 1 32.971 * * [simplify]: Extracting #4: cost 8 inf + 2 32.971 * * [simplify]: Extracting #5: cost 2 inf + 729 32.971 * * [simplify]: Extracting #6: cost 0 inf + 972 32.972 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 32.972 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (/ (cbrt 1) (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 32.972 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (cbrt k))) 32.972 * * [simplify]: iters left: 4 (6 enodes) 32.974 * * [simplify]: iters left: 3 (20 enodes) 32.977 * * [simplify]: iters left: 2 (22 enodes) 32.980 * * [simplify]: Extracting #0: cost 1 inf + 0 32.980 * * [simplify]: Extracting #1: cost 4 inf + 0 32.980 * * [simplify]: Extracting #2: cost 5 inf + 1 32.980 * * [simplify]: Extracting #3: cost 7 inf + 1 32.980 * * [simplify]: Extracting #4: cost 1 inf + 568 32.980 * * [simplify]: Extracting #5: cost 0 inf + 730 32.980 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 32.980 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 32.981 * * * * [progress]: [ 58 / 188 ] simplifiying candidate # 32.981 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 32.981 * * [simplify]: iters left: 5 (7 enodes) 32.983 * * [simplify]: iters left: 4 (25 enodes) 32.987 * * [simplify]: iters left: 3 (27 enodes) 32.991 * * [simplify]: Extracting #0: cost 1 inf + 0 32.991 * * [simplify]: Extracting #1: cost 4 inf + 0 32.991 * * [simplify]: Extracting #2: cost 5 inf + 1 32.991 * * [simplify]: Extracting #3: cost 7 inf + 1 32.991 * * [simplify]: Extracting #4: cost 6 inf + 2 32.991 * * [simplify]: Extracting #5: cost 2 inf + 368 32.991 * * [simplify]: Extracting #6: cost 0 inf + 490 32.991 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 32.991 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 32.992 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt k))) 32.992 * * [simplify]: iters left: 4 (6 enodes) 32.994 * * [simplify]: iters left: 3 (20 enodes) 32.997 * * [simplify]: iters left: 2 (22 enodes) 33.000 * * [simplify]: Extracting #0: cost 1 inf + 0 33.000 * * [simplify]: Extracting #1: cost 4 inf + 0 33.000 * * [simplify]: Extracting #2: cost 5 inf + 1 33.000 * * [simplify]: Extracting #3: cost 7 inf + 1 33.000 * * [simplify]: Extracting #4: cost 1 inf + 368 33.000 * * [simplify]: Extracting #5: cost 0 inf + 490 33.000 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 33.000 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.000 * * * * [progress]: [ 59 / 188 ] simplifiying candidate # 33.000 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) 33.000 * * [simplify]: iters left: 5 (5 enodes) 33.008 * * [simplify]: iters left: 4 (19 enodes) 33.013 * * [simplify]: iters left: 3 (21 enodes) 33.017 * * [simplify]: Extracting #0: cost 1 inf + 0 33.017 * * [simplify]: Extracting #1: cost 0 inf + 1 33.017 * [simplify]: Simplified to 1 33.017 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (/ (cbrt 1) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.017 * [simplify]: Simplifying (/ (cbrt 1) (sqrt k)) 33.017 * * [simplify]: iters left: 3 (5 enodes) 33.021 * * [simplify]: iters left: 2 (17 enodes) 33.027 * * [simplify]: iters left: 1 (19 enodes) 33.032 * * [simplify]: Extracting #0: cost 1 inf + 0 33.032 * * [simplify]: Extracting #1: cost 4 inf + 0 33.032 * * [simplify]: Extracting #2: cost 5 inf + 1 33.032 * * [simplify]: Extracting #3: cost 0 inf + 248 33.033 * [simplify]: Simplified to (/ 1 (sqrt k)) 33.033 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.033 * * * * [progress]: [ 60 / 188 ] simplifiying candidate # 33.033 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 33.033 * * [simplify]: iters left: 5 (7 enodes) 33.042 * * [simplify]: iters left: 4 (25 enodes) 33.050 * * [simplify]: iters left: 3 (27 enodes) 33.057 * * [simplify]: Extracting #0: cost 1 inf + 0 33.057 * * [simplify]: Extracting #1: cost 4 inf + 0 33.057 * * [simplify]: Extracting #2: cost 5 inf + 1 33.057 * * [simplify]: Extracting #3: cost 7 inf + 1 33.057 * * [simplify]: Extracting #4: cost 6 inf + 2 33.057 * * [simplify]: Extracting #5: cost 2 inf + 368 33.058 * * [simplify]: Extracting #6: cost 0 inf + 490 33.058 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 33.058 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.058 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt k))) 33.059 * * [simplify]: iters left: 4 (6 enodes) 33.063 * * [simplify]: iters left: 3 (20 enodes) 33.069 * * [simplify]: iters left: 2 (22 enodes) 33.075 * * [simplify]: Extracting #0: cost 1 inf + 0 33.075 * * [simplify]: Extracting #1: cost 4 inf + 0 33.075 * * [simplify]: Extracting #2: cost 5 inf + 1 33.075 * * [simplify]: Extracting #3: cost 7 inf + 1 33.075 * * [simplify]: Extracting #4: cost 1 inf + 368 33.075 * * [simplify]: Extracting #5: cost 0 inf + 490 33.076 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 33.076 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.076 * * * * [progress]: [ 61 / 188 ] simplifiying candidate # 33.076 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) 1) 33.076 * * [simplify]: iters left: 5 (4 enodes) 33.084 * * [simplify]: iters left: 4 (14 enodes) 33.086 * * [simplify]: iters left: 3 (16 enodes) 33.090 * * [simplify]: Extracting #0: cost 1 inf + 0 33.090 * * [simplify]: Extracting #1: cost 0 inf + 1 33.090 * [simplify]: Simplified to 1 33.090 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (/ (cbrt 1) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.090 * [simplify]: Simplifying (/ (cbrt 1) (sqrt k)) 33.090 * * [simplify]: iters left: 3 (5 enodes) 33.094 * * [simplify]: iters left: 2 (17 enodes) 33.099 * * [simplify]: iters left: 1 (19 enodes) 33.104 * * [simplify]: Extracting #0: cost 1 inf + 0 33.104 * * [simplify]: Extracting #1: cost 4 inf + 0 33.104 * * [simplify]: Extracting #2: cost 5 inf + 1 33.104 * * [simplify]: Extracting #3: cost 0 inf + 248 33.104 * [simplify]: Simplified to (/ 1 (sqrt k)) 33.104 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.104 * * * * [progress]: [ 62 / 188 ] simplifiying candidate # 33.105 * [simplify]: Simplifying (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 33.105 * * [simplify]: iters left: 6 (7 enodes) 33.109 * * [simplify]: iters left: 5 (25 enodes) 33.115 * * [simplify]: iters left: 4 (32 enodes) 33.120 * * [simplify]: iters left: 3 (34 enodes) 33.125 * * [simplify]: Extracting #0: cost 1 inf + 0 33.125 * * [simplify]: Extracting #1: cost 7 inf + 0 33.125 * * [simplify]: Extracting #2: cost 11 inf + 1 33.125 * * [simplify]: Extracting #3: cost 13 inf + 1 33.125 * * [simplify]: Extracting #4: cost 10 inf + 84 33.125 * * [simplify]: Extracting #5: cost 4 inf + 1014 33.126 * * [simplify]: Extracting #6: cost 1 inf + 1498 33.126 * * [simplify]: Extracting #7: cost 0 inf + 1700 33.126 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 33.126 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (sqrt 1) (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.126 * [simplify]: Simplifying (/ (sqrt 1) (cbrt (sqrt k))) 33.126 * * [simplify]: iters left: 4 (6 enodes) 33.128 * * [simplify]: iters left: 3 (20 enodes) 33.132 * * [simplify]: iters left: 2 (22 enodes) 33.135 * * [simplify]: Extracting #0: cost 1 inf + 0 33.135 * * [simplify]: Extracting #1: cost 4 inf + 0 33.135 * * [simplify]: Extracting #2: cost 5 inf + 1 33.135 * * [simplify]: Extracting #3: cost 7 inf + 1 33.135 * * [simplify]: Extracting #4: cost 1 inf + 488 33.135 * * [simplify]: Extracting #5: cost 0 inf + 650 33.135 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 33.135 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.136 * * * * [progress]: [ 63 / 188 ] simplifiying candidate # 33.136 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) 33.136 * * [simplify]: iters left: 6 (7 enodes) 33.138 * * [simplify]: iters left: 5 (24 enodes) 33.142 * * [simplify]: iters left: 4 (26 enodes) 33.150 * * [simplify]: Extracting #0: cost 1 inf + 0 33.150 * * [simplify]: Extracting #1: cost 4 inf + 0 33.150 * * [simplify]: Extracting #2: cost 6 inf + 1 33.150 * * [simplify]: Extracting #3: cost 9 inf + 1 33.150 * * [simplify]: Extracting #4: cost 8 inf + 2 33.151 * * [simplify]: Extracting #5: cost 2 inf + 730 33.151 * * [simplify]: Extracting #6: cost 0 inf + 972 33.151 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 33.151 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (/ (sqrt 1) (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.152 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (cbrt k))) 33.152 * * [simplify]: iters left: 4 (6 enodes) 33.156 * * [simplify]: iters left: 3 (20 enodes) 33.162 * * [simplify]: iters left: 2 (22 enodes) 33.169 * * [simplify]: Extracting #0: cost 1 inf + 0 33.169 * * [simplify]: Extracting #1: cost 4 inf + 0 33.169 * * [simplify]: Extracting #2: cost 5 inf + 1 33.169 * * [simplify]: Extracting #3: cost 7 inf + 1 33.169 * * [simplify]: Extracting #4: cost 1 inf + 568 33.169 * * [simplify]: Extracting #5: cost 0 inf + 730 33.169 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 33.169 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.170 * * * * [progress]: [ 64 / 188 ] simplifiying candidate # 33.170 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 33.170 * * [simplify]: iters left: 4 (6 enodes) 33.174 * * [simplify]: iters left: 3 (20 enodes) 33.184 * * [simplify]: iters left: 2 (22 enodes) 33.188 * * [simplify]: Extracting #0: cost 1 inf + 0 33.188 * * [simplify]: Extracting #1: cost 4 inf + 0 33.188 * * [simplify]: Extracting #2: cost 5 inf + 1 33.188 * * [simplify]: Extracting #3: cost 7 inf + 1 33.188 * * [simplify]: Extracting #4: cost 1 inf + 368 33.188 * * [simplify]: Extracting #5: cost 0 inf + 490 33.188 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 33.189 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.189 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 33.189 * * [simplify]: iters left: 4 (6 enodes) 33.191 * * [simplify]: iters left: 3 (20 enodes) 33.194 * * [simplify]: iters left: 2 (22 enodes) 33.197 * * [simplify]: Extracting #0: cost 1 inf + 0 33.197 * * [simplify]: Extracting #1: cost 4 inf + 0 33.197 * * [simplify]: Extracting #2: cost 5 inf + 1 33.197 * * [simplify]: Extracting #3: cost 7 inf + 1 33.197 * * [simplify]: Extracting #4: cost 1 inf + 368 33.198 * * [simplify]: Extracting #5: cost 0 inf + 490 33.198 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 33.198 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.198 * * * * [progress]: [ 65 / 188 ] simplifiying candidate # 33.198 * [simplify]: Simplifying (/ (sqrt 1) (sqrt 1)) 33.198 * * [simplify]: iters left: 3 (3 enodes) 33.200 * * [simplify]: iters left: 2 (9 enodes) 33.201 * * [simplify]: iters left: 1 (11 enodes) 33.203 * * [simplify]: Extracting #0: cost 1 inf + 0 33.203 * * [simplify]: Extracting #1: cost 0 inf + 1 33.203 * [simplify]: Simplified to 1 33.203 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (/ (sqrt 1) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.203 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k)) 33.203 * * [simplify]: iters left: 3 (5 enodes) 33.206 * * [simplify]: iters left: 2 (17 enodes) 33.208 * * [simplify]: iters left: 1 (19 enodes) 33.211 * * [simplify]: Extracting #0: cost 1 inf + 0 33.211 * * [simplify]: Extracting #1: cost 4 inf + 0 33.211 * * [simplify]: Extracting #2: cost 5 inf + 1 33.211 * * [simplify]: Extracting #3: cost 0 inf + 248 33.211 * [simplify]: Simplified to (/ 1 (sqrt k)) 33.211 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.211 * * * * [progress]: [ 66 / 188 ] simplifiying candidate # 33.211 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 33.212 * * [simplify]: iters left: 4 (6 enodes) 33.214 * * [simplify]: iters left: 3 (20 enodes) 33.220 * * [simplify]: iters left: 2 (22 enodes) 33.227 * * [simplify]: Extracting #0: cost 1 inf + 0 33.227 * * [simplify]: Extracting #1: cost 4 inf + 0 33.227 * * [simplify]: Extracting #2: cost 5 inf + 1 33.227 * * [simplify]: Extracting #3: cost 7 inf + 1 33.227 * * [simplify]: Extracting #4: cost 1 inf + 368 33.227 * * [simplify]: Extracting #5: cost 0 inf + 490 33.228 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 33.228 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.228 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 33.228 * * [simplify]: iters left: 4 (6 enodes) 33.232 * * [simplify]: iters left: 3 (20 enodes) 33.238 * * [simplify]: iters left: 2 (22 enodes) 33.244 * * [simplify]: Extracting #0: cost 1 inf + 0 33.244 * * [simplify]: Extracting #1: cost 4 inf + 0 33.244 * * [simplify]: Extracting #2: cost 5 inf + 1 33.244 * * [simplify]: Extracting #3: cost 7 inf + 1 33.245 * * [simplify]: Extracting #4: cost 1 inf + 368 33.245 * * [simplify]: Extracting #5: cost 0 inf + 490 33.245 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 33.245 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.245 * * * * [progress]: [ 67 / 188 ] simplifiying candidate # 33.246 * [simplify]: Simplifying (/ (sqrt 1) 1) 33.246 * * [simplify]: iters left: 3 (3 enodes) 33.249 * * [simplify]: iters left: 2 (9 enodes) 33.252 * * [simplify]: iters left: 1 (11 enodes) 33.255 * * [simplify]: Extracting #0: cost 1 inf + 0 33.255 * * [simplify]: Extracting #1: cost 0 inf + 1 33.255 * [simplify]: Simplified to 1 33.255 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (/ (sqrt 1) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.255 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k)) 33.255 * * [simplify]: iters left: 3 (5 enodes) 33.260 * * [simplify]: iters left: 2 (17 enodes) 33.266 * * [simplify]: iters left: 1 (19 enodes) 33.272 * * [simplify]: Extracting #0: cost 1 inf + 0 33.272 * * [simplify]: Extracting #1: cost 4 inf + 0 33.272 * * [simplify]: Extracting #2: cost 5 inf + 1 33.272 * * [simplify]: Extracting #3: cost 0 inf + 248 33.272 * [simplify]: Simplified to (/ 1 (sqrt k)) 33.272 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.273 * * * * [progress]: [ 68 / 188 ] simplifiying candidate # 33.273 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 33.273 * * [simplify]: iters left: 6 (6 enodes) 33.276 * * [simplify]: iters left: 5 (22 enodes) 33.284 * * [simplify]: iters left: 4 (26 enodes) 33.292 * * [simplify]: Extracting #0: cost 1 inf + 0 33.292 * * [simplify]: Extracting #1: cost 6 inf + 0 33.292 * * [simplify]: Extracting #2: cost 9 inf + 1 33.292 * * [simplify]: Extracting #3: cost 11 inf + 1 33.292 * * [simplify]: Extracting #4: cost 8 inf + 84 33.293 * * [simplify]: Extracting #5: cost 2 inf + 1013 33.293 * * [simplify]: Extracting #6: cost 0 inf + 1376 33.293 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 33.293 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.294 * [simplify]: Simplifying (/ 1 (cbrt (sqrt k))) 33.294 * * [simplify]: iters left: 4 (5 enodes) 33.297 * * [simplify]: iters left: 3 (17 enodes) 33.303 * * [simplify]: iters left: 2 (19 enodes) 33.309 * * [simplify]: Extracting #0: cost 1 inf + 0 33.309 * * [simplify]: Extracting #1: cost 4 inf + 0 33.309 * * [simplify]: Extracting #2: cost 5 inf + 1 33.309 * * [simplify]: Extracting #3: cost 7 inf + 1 33.309 * * [simplify]: Extracting #4: cost 0 inf + 650 33.309 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 33.309 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.310 * * * * [progress]: [ 69 / 188 ] simplifiying candidate # 33.310 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt k) (cbrt k)))) 33.310 * * [simplify]: iters left: 6 (6 enodes) 33.313 * * [simplify]: iters left: 5 (21 enodes) 33.319 * * [simplify]: iters left: 4 (23 enodes) 33.325 * * [simplify]: Extracting #0: cost 1 inf + 0 33.326 * * [simplify]: Extracting #1: cost 4 inf + 0 33.326 * * [simplify]: Extracting #2: cost 6 inf + 1 33.326 * * [simplify]: Extracting #3: cost 9 inf + 1 33.326 * * [simplify]: Extracting #4: cost 8 inf + 2 33.326 * * [simplify]: Extracting #5: cost 1 inf + 810 33.326 * * [simplify]: Extracting #6: cost 0 inf + 972 33.326 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 33.326 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.326 * [simplify]: Simplifying (/ 1 (sqrt (cbrt k))) 33.326 * * [simplify]: iters left: 4 (5 enodes) 33.328 * * [simplify]: iters left: 3 (17 enodes) 33.331 * * [simplify]: iters left: 2 (19 enodes) 33.334 * * [simplify]: Extracting #0: cost 1 inf + 0 33.334 * * [simplify]: Extracting #1: cost 4 inf + 0 33.334 * * [simplify]: Extracting #2: cost 5 inf + 1 33.334 * * [simplify]: Extracting #3: cost 7 inf + 1 33.334 * * [simplify]: Extracting #4: cost 0 inf + 730 33.334 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 33.334 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.334 * * * * [progress]: [ 70 / 188 ] simplifiying candidate # 33.334 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 33.334 * * [simplify]: iters left: 4 (5 enodes) 33.336 * * [simplify]: iters left: 3 (17 enodes) 33.338 * * [simplify]: iters left: 2 (19 enodes) 33.341 * * [simplify]: Extracting #0: cost 1 inf + 0 33.341 * * [simplify]: Extracting #1: cost 4 inf + 0 33.342 * * [simplify]: Extracting #2: cost 5 inf + 1 33.342 * * [simplify]: Extracting #3: cost 7 inf + 1 33.342 * * [simplify]: Extracting #4: cost 0 inf + 490 33.342 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 33.342 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.342 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 33.342 * * [simplify]: iters left: 4 (5 enodes) 33.343 * * [simplify]: iters left: 3 (17 enodes) 33.347 * * [simplify]: iters left: 2 (19 enodes) 33.353 * * [simplify]: Extracting #0: cost 1 inf + 0 33.353 * * [simplify]: Extracting #1: cost 4 inf + 0 33.353 * * [simplify]: Extracting #2: cost 5 inf + 1 33.353 * * [simplify]: Extracting #3: cost 7 inf + 1 33.353 * * [simplify]: Extracting #4: cost 0 inf + 490 33.354 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 33.354 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.354 * * * * [progress]: [ 71 / 188 ] simplifiying candidate # 33.354 * [simplify]: Simplifying (/ 1 (sqrt 1)) 33.354 * * [simplify]: iters left: 3 (3 enodes) 33.360 * * [simplify]: iters left: 2 (11 enodes) 33.363 * * [simplify]: iters left: 1 (13 enodes) 33.366 * * [simplify]: Extracting #0: cost 1 inf + 0 33.366 * * [simplify]: Extracting #1: cost 0 inf + 1 33.366 * [simplify]: Simplified to 1 33.366 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.366 * [simplify]: Simplifying (/ 1 (sqrt k)) 33.366 * * [simplify]: iters left: 3 (4 enodes) 33.368 * * [simplify]: iters left: 2 (14 enodes) 33.373 * * [simplify]: iters left: 1 (16 enodes) 33.375 * * [simplify]: Extracting #0: cost 1 inf + 0 33.375 * * [simplify]: Extracting #1: cost 4 inf + 0 33.375 * * [simplify]: Extracting #2: cost 5 inf + 1 33.376 * * [simplify]: Extracting #3: cost 3 inf + 43 33.376 * * [simplify]: Extracting #4: cost 1 inf + 166 33.376 * * [simplify]: Extracting #5: cost 0 inf + 248 33.376 * [simplify]: Simplified to (/ 1 (sqrt k)) 33.376 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.376 * * * * [progress]: [ 72 / 188 ] simplifiying candidate # 33.376 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 33.376 * * [simplify]: iters left: 4 (5 enodes) 33.377 * * [simplify]: iters left: 3 (17 enodes) 33.380 * * [simplify]: iters left: 2 (19 enodes) 33.383 * * [simplify]: Extracting #0: cost 1 inf + 0 33.383 * * [simplify]: Extracting #1: cost 4 inf + 0 33.383 * * [simplify]: Extracting #2: cost 5 inf + 1 33.383 * * [simplify]: Extracting #3: cost 7 inf + 1 33.383 * * [simplify]: Extracting #4: cost 0 inf + 490 33.383 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 33.383 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.384 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 33.384 * * [simplify]: iters left: 4 (5 enodes) 33.385 * * [simplify]: iters left: 3 (17 enodes) 33.388 * * [simplify]: iters left: 2 (19 enodes) 33.391 * * [simplify]: Extracting #0: cost 1 inf + 0 33.391 * * [simplify]: Extracting #1: cost 4 inf + 0 33.391 * * [simplify]: Extracting #2: cost 5 inf + 1 33.391 * * [simplify]: Extracting #3: cost 7 inf + 1 33.391 * * [simplify]: Extracting #4: cost 0 inf + 490 33.391 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 33.391 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.391 * * * * [progress]: [ 73 / 188 ] simplifiying candidate # 33.391 * [simplify]: Simplifying (/ 1 1) 33.391 * * [simplify]: iters left: 2 (2 enodes) 33.392 * * [simplify]: iters left: 1 (6 enodes) 33.393 * * [simplify]: Extracting #0: cost 1 inf + 0 33.393 * * [simplify]: Extracting #1: cost 0 inf + 1 33.393 * [simplify]: Simplified to 1 33.393 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.393 * [simplify]: Simplifying (/ 1 (sqrt k)) 33.393 * * [simplify]: iters left: 3 (4 enodes) 33.394 * * [simplify]: iters left: 2 (14 enodes) 33.397 * * [simplify]: iters left: 1 (16 enodes) 33.400 * * [simplify]: Extracting #0: cost 1 inf + 0 33.400 * * [simplify]: Extracting #1: cost 4 inf + 0 33.400 * * [simplify]: Extracting #2: cost 5 inf + 1 33.400 * * [simplify]: Extracting #3: cost 3 inf + 43 33.400 * * [simplify]: Extracting #4: cost 1 inf + 166 33.400 * * [simplify]: Extracting #5: cost 0 inf + 248 33.400 * [simplify]: Simplified to (/ 1 (sqrt k)) 33.400 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.400 * * * * [progress]: [ 74 / 188 ] simplifiying candidate # 33.400 * * * * [progress]: [ 75 / 188 ] simplifiying candidate # 33.400 * * * * [progress]: [ 76 / 188 ] simplifiying candidate # 33.400 * * * * [progress]: [ 77 / 188 ] simplifiying candidate # 33.400 * [simplify]: Simplifying (cbrt (sqrt k)) 33.400 * * [simplify]: iters left: 2 (3 enodes) 33.401 * * [simplify]: iters left: 1 (9 enodes) 33.402 * * [simplify]: Extracting #0: cost 1 inf + 0 33.402 * * [simplify]: Extracting #1: cost 3 inf + 0 33.402 * * [simplify]: Extracting #2: cost 5 inf + 0 33.402 * * [simplify]: Extracting #3: cost 4 inf + 1 33.402 * * [simplify]: Extracting #4: cost 0 inf + 325 33.402 * [simplify]: Simplified to (cbrt (sqrt k)) 33.402 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.402 * * * * [progress]: [ 78 / 188 ] simplifiying candidate # 33.403 * [simplify]: Simplifying (sqrt (cbrt k)) 33.403 * * [simplify]: iters left: 2 (3 enodes) 33.403 * * [simplify]: iters left: 1 (9 enodes) 33.404 * * [simplify]: Extracting #0: cost 1 inf + 0 33.404 * * [simplify]: Extracting #1: cost 3 inf + 0 33.405 * * [simplify]: Extracting #2: cost 5 inf + 0 33.405 * * [simplify]: Extracting #3: cost 4 inf + 1 33.405 * * [simplify]: Extracting #4: cost 0 inf + 405 33.405 * [simplify]: Simplified to (sqrt (cbrt k)) 33.405 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.405 * * * * [progress]: [ 79 / 188 ] simplifiying candidate # 33.405 * [simplify]: Simplifying (sqrt (sqrt k)) 33.405 * * [simplify]: iters left: 2 (3 enodes) 33.406 * * [simplify]: iters left: 1 (9 enodes) 33.408 * * [simplify]: Extracting #0: cost 1 inf + 0 33.409 * * [simplify]: Extracting #1: cost 3 inf + 0 33.409 * * [simplify]: Extracting #2: cost 5 inf + 0 33.409 * * [simplify]: Extracting #3: cost 4 inf + 1 33.409 * * [simplify]: Extracting #4: cost 0 inf + 245 33.409 * [simplify]: Simplified to (sqrt (sqrt k)) 33.409 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.409 * * * * [progress]: [ 80 / 188 ] simplifiying candidate # 33.409 * [simplify]: Simplifying (sqrt k) 33.409 * * [simplify]: iters left: 1 (2 enodes) 33.410 * * [simplify]: Extracting #0: cost 1 inf + 0 33.410 * * [simplify]: Extracting #1: cost 3 inf + 0 33.410 * * [simplify]: Extracting #2: cost 2 inf + 1 33.410 * * [simplify]: Extracting #3: cost 0 inf + 83 33.410 * [simplify]: Simplified to (sqrt k) 33.410 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (/ 1 (sqrt 1)) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.411 * * * * [progress]: [ 81 / 188 ] simplifiying candidate # 33.411 * [simplify]: Simplifying (sqrt (sqrt k)) 33.411 * * [simplify]: iters left: 2 (3 enodes) 33.412 * * [simplify]: iters left: 1 (9 enodes) 33.415 * * [simplify]: Extracting #0: cost 1 inf + 0 33.415 * * [simplify]: Extracting #1: cost 3 inf + 0 33.415 * * [simplify]: Extracting #2: cost 5 inf + 0 33.415 * * [simplify]: Extracting #3: cost 4 inf + 1 33.415 * * [simplify]: Extracting #4: cost 0 inf + 245 33.415 * [simplify]: Simplified to (sqrt (sqrt k)) 33.415 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.415 * * * * [progress]: [ 82 / 188 ] simplifiying candidate # 33.415 * [simplify]: Simplifying (sqrt k) 33.415 * * [simplify]: iters left: 1 (2 enodes) 33.416 * * [simplify]: Extracting #0: cost 1 inf + 0 33.416 * * [simplify]: Extracting #1: cost 3 inf + 0 33.416 * * [simplify]: Extracting #2: cost 2 inf + 1 33.416 * * [simplify]: Extracting #3: cost 0 inf + 83 33.416 * [simplify]: Simplified to (sqrt k) 33.416 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (/ 1 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.417 * * * * [progress]: [ 83 / 188 ] simplifiying candidate # 33.417 * [simplify]: Simplifying (* (cbrt 1) (cbrt 1)) 33.417 * * [simplify]: iters left: 3 (3 enodes) 33.422 * * [simplify]: iters left: 2 (11 enodes) 33.424 * * [simplify]: iters left: 1 (13 enodes) 33.427 * * [simplify]: Extracting #0: cost 1 inf + 0 33.427 * * [simplify]: Extracting #1: cost 0 inf + 1 33.427 * [simplify]: Simplified to 1 33.427 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (/ 1 (/ (sqrt k) (cbrt 1))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.427 * * * * [progress]: [ 84 / 188 ] simplifiying candidate # 33.427 * [simplify]: Simplifying (sqrt 1) 33.427 * * [simplify]: iters left: 1 (2 enodes) 33.429 * * [simplify]: Extracting #0: cost 1 inf + 0 33.429 * * [simplify]: Extracting #1: cost 0 inf + 1 33.429 * [simplify]: Simplified to 1 33.429 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (/ 1 (/ (sqrt k) (sqrt 1))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.429 * * * * [progress]: [ 85 / 188 ] simplifiying candidate # 33.429 * * * * [progress]: [ 86 / 188 ] simplifiying candidate #real (real->posit16 (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))> 33.430 * * * * [progress]: [ 87 / 188 ] simplifiying candidate # 33.430 * [simplify]: Simplifying (* (* 2 PI) n) 33.430 * * [simplify]: iters left: 4 (5 enodes) 33.431 * * [simplify]: iters left: 3 (19 enodes) 33.437 * * [simplify]: iters left: 2 (27 enodes) 33.441 * * [simplify]: iters left: 1 (32 enodes) 33.445 * * [simplify]: Extracting #0: cost 1 inf + 0 33.445 * * [simplify]: Extracting #1: cost 8 inf + 0 33.445 * * [simplify]: Extracting #2: cost 7 inf + 45 33.445 * * [simplify]: Extracting #3: cost 0 inf + 421 33.445 * [simplify]: Simplified to (* (* 2 PI) n) 33.445 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2)))) 33.446 * * * * [progress]: [ 88 / 188 ] simplifiying candidate # 33.446 * [simplify]: Simplifying (* (* 2 PI) n) 33.446 * * [simplify]: iters left: 4 (5 enodes) 33.447 * * [simplify]: iters left: 3 (19 enodes) 33.451 * * [simplify]: iters left: 2 (27 enodes) 33.459 * * [simplify]: iters left: 1 (32 enodes) 33.467 * * [simplify]: Extracting #0: cost 1 inf + 0 33.467 * * [simplify]: Extracting #1: cost 8 inf + 0 33.468 * * [simplify]: Extracting #2: cost 7 inf + 45 33.468 * * [simplify]: Extracting #3: cost 0 inf + 421 33.468 * [simplify]: Simplified to (* (* 2 PI) n) 33.468 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2)))) 33.468 * * * * [progress]: [ 89 / 188 ] simplifiying candidate # 33.468 * * * * [progress]: [ 90 / 188 ] simplifiying candidate # 33.469 * [simplify]: Simplifying (+ (+ (log 2) (log PI)) (log n)) 33.469 * * [simplify]: iters left: 5 (8 enodes) 33.473 * * [simplify]: iters left: 4 (28 enodes) 33.482 * * [simplify]: iters left: 3 (36 enodes) 33.492 * * [simplify]: iters left: 2 (42 enodes) 33.502 * * [simplify]: Extracting #0: cost 1 inf + 0 33.503 * * [simplify]: Extracting #1: cost 8 inf + 0 33.503 * * [simplify]: Extracting #2: cost 17 inf + 0 33.503 * * [simplify]: Extracting #3: cost 13 inf + 74 33.503 * * [simplify]: Extracting #4: cost 6 inf + 1015 33.503 * * [simplify]: Extracting #5: cost 0 inf + 2107 33.503 * [simplify]: Simplified to (+ (log 2) (+ (log PI) (log n))) 33.503 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (exp (+ (log 2) (+ (log PI) (log n)))) (/ (- 1 k) 2)))) 33.504 * * * * [progress]: [ 91 / 188 ] simplifiying candidate # 33.504 * [simplify]: Simplifying (+ (log (* 2 PI)) (log n)) 33.504 * * [simplify]: iters left: 5 (7 enodes) 33.506 * * [simplify]: iters left: 4 (26 enodes) 33.510 * * [simplify]: iters left: 3 (35 enodes) 33.515 * * [simplify]: iters left: 2 (44 enodes) 33.521 * * [simplify]: Extracting #0: cost 1 inf + 0 33.521 * * [simplify]: Extracting #1: cost 8 inf + 0 33.521 * * [simplify]: Extracting #2: cost 18 inf + 0 33.521 * * [simplify]: Extracting #3: cost 15 inf + 74 33.521 * * [simplify]: Extracting #4: cost 6 inf + 918 33.521 * * [simplify]: Extracting #5: cost 0 inf + 1911 33.521 * [simplify]: Simplified to (+ (log (* 2 PI)) (log n)) 33.521 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (exp (+ (log (* 2 PI)) (log n))) (/ (- 1 k) 2)))) 33.522 * * * * [progress]: [ 92 / 188 ] simplifiying candidate # 33.522 * * * * [progress]: [ 93 / 188 ] simplifiying candidate # 33.522 * * * * [progress]: [ 94 / 188 ] simplifiying candidate # 33.522 * [simplify]: Simplifying (* (* (* (* 2 2) 2) (* (* PI PI) PI)) (* (* n n) n)) 33.522 * * [simplify]: iters left: 6 (11 enodes) 33.525 * * [simplify]: iters left: 5 (47 enodes) 33.547 * * [simplify]: iters left: 4 (115 enodes) 33.601 * * [simplify]: iters left: 3 (384 enodes) 33.891 * * [simplify]: Extracting #0: cost 1 inf + 0 33.892 * * [simplify]: Extracting #1: cost 102 inf + 0 33.894 * * [simplify]: Extracting #2: cost 263 inf + 1026 33.901 * * [simplify]: Extracting #3: cost 88 inf + 24284 33.911 * * [simplify]: Extracting #4: cost 2 inf + 40704 33.920 * * [simplify]: Extracting #5: cost 0 inf + 41008 33.933 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n)) 33.933 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (cbrt (* (* (* (* PI n) (* PI n)) 8) (* PI n))) (/ (- 1 k) 2)))) 33.933 * * * * [progress]: [ 95 / 188 ] simplifiying candidate # 33.933 * [simplify]: Simplifying (* (* (* (* 2 PI) (* 2 PI)) (* 2 PI)) (* (* n n) n)) 33.934 * * [simplify]: iters left: 6 (9 enodes) 33.937 * * [simplify]: iters left: 5 (45 enodes) 33.946 * * [simplify]: iters left: 4 (116 enodes) 33.995 * * [simplify]: iters left: 3 (371 enodes) 34.298 * * [simplify]: Extracting #0: cost 1 inf + 0 34.299 * * [simplify]: Extracting #1: cost 82 inf + 0 34.300 * * [simplify]: Extracting #2: cost 200 inf + 498 34.306 * * [simplify]: Extracting #3: cost 121 inf + 10421 34.324 * * [simplify]: Extracting #4: cost 5 inf + 33505 34.348 * * [simplify]: Extracting #5: cost 0 inf + 33849 34.364 * * [simplify]: Extracting #6: cost 0 inf + 33809 34.373 * [simplify]: Simplified to (* (* n PI) (* 8 (* (* n PI) (* n PI)))) 34.374 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (cbrt (* (* n PI) (* 8 (* (* n PI) (* n PI))))) (/ (- 1 k) 2)))) 34.374 * * * * [progress]: [ 96 / 188 ] simplifiying candidate # 34.374 * * * * [progress]: [ 97 / 188 ] simplifiying candidate # 34.374 * * * * [progress]: [ 98 / 188 ] simplifiying candidate # 34.374 * * * * [progress]: [ 99 / 188 ] simplifiying candidate # 34.374 * * * * [progress]: [ 100 / 188 ] simplifiying candidate # 34.374 * [simplify]: Simplifying (cbrt n) 34.374 * * [simplify]: iters left: 1 (2 enodes) 34.375 * * [simplify]: Extracting #0: cost 1 inf + 0 34.375 * * [simplify]: Extracting #1: cost 3 inf + 0 34.375 * * [simplify]: Extracting #2: cost 2 inf + 1 34.375 * * [simplify]: Extracting #3: cost 0 inf + 163 34.375 * [simplify]: Simplified to (cbrt n) 34.375 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* (* 2 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (- 1 k) 2)))) 34.375 * * * * [progress]: [ 101 / 188 ] simplifiying candidate # 34.375 * [simplify]: Simplifying (sqrt n) 34.375 * * [simplify]: iters left: 1 (2 enodes) 34.375 * * [simplify]: Extracting #0: cost 1 inf + 0 34.375 * * [simplify]: Extracting #1: cost 3 inf + 0 34.375 * * [simplify]: Extracting #2: cost 2 inf + 1 34.375 * * [simplify]: Extracting #3: cost 0 inf + 83 34.375 * [simplify]: Simplified to (sqrt n) 34.375 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* (* 2 PI) (sqrt n)) (sqrt n)) (/ (- 1 k) 2)))) 34.376 * * * * [progress]: [ 102 / 188 ] simplifiying candidate # 34.376 * * * * [progress]: [ 103 / 188 ] simplifiying candidate # 34.376 * * * * [progress]: [ 104 / 188 ] simplifiying candidate #real (real->posit16 (* (* 2 PI) n))) (/ (- 1 k) 2))))> 34.376 * * * * [progress]: [ 105 / 188 ] simplifiying candidate # 34.376 * * * * [progress]: [ 106 / 188 ] simplifiying candidate # 34.376 * * * * [progress]: [ 107 / 188 ] simplifiying candidate # 34.376 * [simplify]: Simplifying (+ (- (log (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2))) 34.376 * * [simplify]: iters left: 6 (17 enodes) 34.381 * * [simplify]: iters left: 5 (67 enodes) 34.392 * * [simplify]: iters left: 4 (111 enodes) 34.438 * * [simplify]: iters left: 3 (297 enodes) 34.551 * * [simplify]: Extracting #0: cost 1 inf + 0 34.551 * * [simplify]: Extracting #1: cost 33 inf + 0 34.551 * * [simplify]: Extracting #2: cost 87 inf + 0 34.552 * * [simplify]: Extracting #3: cost 150 inf + 73 34.553 * * [simplify]: Extracting #4: cost 166 inf + 857 34.559 * * [simplify]: Extracting #5: cost 94 inf + 17702 34.575 * * [simplify]: Extracting #6: cost 6 inf + 46007 34.592 * * [simplify]: Extracting #7: cost 0 inf + 48738 34.610 * [simplify]: Simplified to (- (/ (- (+ (log n) (+ (log 2) (log PI))) (* (+ (log n) (+ (log 2) (log PI))) k)) 2) (log (sqrt k))) 34.610 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (+ (log 2) (log PI))) (* (+ (log n) (+ (log 2) (log PI))) k)) 2) (log (sqrt k))))) 34.610 * * * * [progress]: [ 108 / 188 ] simplifiying candidate # 34.611 * [simplify]: Simplifying (+ (- (log (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))) 34.611 * * [simplify]: iters left: 6 (16 enodes) 34.620 * * [simplify]: iters left: 5 (65 enodes) 34.641 * * [simplify]: iters left: 4 (104 enodes) 34.680 * * [simplify]: iters left: 3 (239 enodes) 34.773 * * [simplify]: Extracting #0: cost 1 inf + 0 34.773 * * [simplify]: Extracting #1: cost 27 inf + 0 34.774 * * [simplify]: Extracting #2: cost 74 inf + 0 34.774 * * [simplify]: Extracting #3: cost 128 inf + 2 34.776 * * [simplify]: Extracting #4: cost 142 inf + 759 34.780 * * [simplify]: Extracting #5: cost 73 inf + 12705 34.788 * * [simplify]: Extracting #6: cost 11 inf + 32489 34.797 * * [simplify]: Extracting #7: cost 1 inf + 36150 34.804 * * [simplify]: Extracting #8: cost 0 inf + 36684 34.811 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* k (+ (log n) (log (* 2 PI))))) 2) (log (sqrt k))) 34.811 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* k (+ (log n) (log (* 2 PI))))) 2) (log (sqrt k))))) 34.811 * * * * [progress]: [ 109 / 188 ] simplifiying candidate # 34.812 * [simplify]: Simplifying (+ (- (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 34.812 * * [simplify]: iters left: 6 (15 enodes) 34.816 * * [simplify]: iters left: 5 (64 enodes) 34.835 * * [simplify]: iters left: 4 (111 enodes) 34.855 * * [simplify]: iters left: 3 (223 enodes) 34.932 * * [simplify]: Extracting #0: cost 1 inf + 0 34.932 * * [simplify]: Extracting #1: cost 19 inf + 0 34.932 * * [simplify]: Extracting #2: cost 65 inf + 0 34.933 * * [simplify]: Extracting #3: cost 121 inf + 2 34.933 * * [simplify]: Extracting #4: cost 142 inf + 741 34.935 * * [simplify]: Extracting #5: cost 72 inf + 12707 34.940 * * [simplify]: Extracting #6: cost 6 inf + 29228 34.947 * * [simplify]: Extracting #7: cost 1 inf + 30319 34.957 * * [simplify]: Extracting #8: cost 0 inf + 30744 34.970 * [simplify]: Simplified to (- (/ (- (log (* n (* 2 PI))) (* (log (* n (* 2 PI))) k)) 2) (log (sqrt k))) 34.970 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* n (* 2 PI))) (* (log (* n (* 2 PI))) k)) 2) (log (sqrt k))))) 34.970 * * * * [progress]: [ 110 / 188 ] simplifiying candidate # 34.970 * [simplify]: Simplifying (+ (- (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 34.971 * * [simplify]: iters left: 6 (15 enodes) 34.978 * * [simplify]: iters left: 5 (64 enodes) 34.991 * * [simplify]: iters left: 4 (111 enodes) 35.011 * * [simplify]: iters left: 3 (223 enodes) 35.107 * * [simplify]: Extracting #0: cost 1 inf + 0 35.107 * * [simplify]: Extracting #1: cost 19 inf + 0 35.107 * * [simplify]: Extracting #2: cost 65 inf + 0 35.108 * * [simplify]: Extracting #3: cost 121 inf + 2 35.109 * * [simplify]: Extracting #4: cost 142 inf + 741 35.113 * * [simplify]: Extracting #5: cost 72 inf + 12707 35.124 * * [simplify]: Extracting #6: cost 6 inf + 29228 35.136 * * [simplify]: Extracting #7: cost 1 inf + 30319 35.148 * * [simplify]: Extracting #8: cost 0 inf + 30744 35.161 * [simplify]: Simplified to (- (/ (- (log (* n (* 2 PI))) (* (log (* n (* 2 PI))) k)) 2) (log (sqrt k))) 35.161 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* n (* 2 PI))) (* (log (* n (* 2 PI))) k)) 2) (log (sqrt k))))) 35.161 * * * * [progress]: [ 111 / 188 ] simplifiying candidate # 35.161 * [simplify]: Simplifying (+ (- (log (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 35.162 * * [simplify]: iters left: 6 (15 enodes) 35.166 * * [simplify]: iters left: 5 (63 enodes) 35.177 * * [simplify]: iters left: 4 (107 enodes) 35.201 * * [simplify]: iters left: 3 (215 enodes) 35.276 * * [simplify]: Extracting #0: cost 1 inf + 0 35.276 * * [simplify]: Extracting #1: cost 20 inf + 0 35.277 * * [simplify]: Extracting #2: cost 95 inf + 0 35.277 * * [simplify]: Extracting #3: cost 169 inf + 2 35.278 * * [simplify]: Extracting #4: cost 176 inf + 579 35.279 * * [simplify]: Extracting #5: cost 115 inf + 10248 35.288 * * [simplify]: Extracting #6: cost 21 inf + 33876 35.301 * * [simplify]: Extracting #7: cost 0 inf + 40717 35.315 * * [simplify]: Extracting #8: cost 0 inf + 40597 35.332 * [simplify]: Simplified to (- (/ (- 1 k) (/ 2 (log (* n (* 2 PI))))) (log (sqrt k))) 35.332 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- 1 k) (/ 2 (log (* n (* 2 PI))))) (log (sqrt k))))) 35.333 * * * * [progress]: [ 112 / 188 ] simplifiying candidate # 35.333 * [simplify]: Simplifying (+ (- 0 (log (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2))) 35.333 * * [simplify]: iters left: 6 (18 enodes) 35.342 * * [simplify]: iters left: 5 (73 enodes) 35.355 * * [simplify]: iters left: 4 (128 enodes) 35.384 * * [simplify]: iters left: 3 (376 enodes) 35.578 * * [simplify]: Extracting #0: cost 1 inf + 0 35.578 * * [simplify]: Extracting #1: cost 46 inf + 0 35.579 * * [simplify]: Extracting #2: cost 174 inf + 1 35.580 * * [simplify]: Extracting #3: cost 249 inf + 74 35.584 * * [simplify]: Extracting #4: cost 230 inf + 8323 35.602 * * [simplify]: Extracting #5: cost 63 inf + 59342 35.620 * * [simplify]: Extracting #6: cost 1 inf + 81574 35.639 * * [simplify]: Extracting #7: cost 0 inf + 82024 35.654 * * [simplify]: Extracting #8: cost 0 inf + 82023 35.682 * [simplify]: Simplified to (- (/ (- (+ (log n) (+ (log PI) (log 2))) (* k (+ (log n) (+ (log PI) (log 2))))) 2) (log (sqrt k))) 35.682 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (+ (log PI) (log 2))) (* k (+ (log n) (+ (log PI) (log 2))))) 2) (log (sqrt k))))) 35.682 * * * * [progress]: [ 113 / 188 ] simplifiying candidate # 35.683 * [simplify]: Simplifying (+ (- 0 (log (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))) 35.683 * * [simplify]: iters left: 6 (17 enodes) 35.693 * * [simplify]: iters left: 5 (71 enodes) 35.717 * * [simplify]: iters left: 4 (121 enodes) 35.753 * * [simplify]: iters left: 3 (302 enodes) 35.871 * * [simplify]: Extracting #0: cost 1 inf + 0 35.871 * * [simplify]: Extracting #1: cost 37 inf + 0 35.871 * * [simplify]: Extracting #2: cost 145 inf + 1 35.872 * * [simplify]: Extracting #3: cost 215 inf + 3 35.874 * * [simplify]: Extracting #4: cost 201 inf + 6020 35.881 * * [simplify]: Extracting #5: cost 35 inf + 50552 35.894 * * [simplify]: Extracting #6: cost 0 inf + 62673 35.920 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))) 35.920 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))))) 35.920 * * * * [progress]: [ 114 / 188 ] simplifiying candidate # 35.921 * [simplify]: Simplifying (+ (- 0 (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 35.921 * * [simplify]: iters left: 6 (16 enodes) 35.928 * * [simplify]: iters left: 5 (70 enodes) 35.940 * * [simplify]: iters left: 4 (128 enodes) 35.973 * * [simplify]: iters left: 3 (276 enodes) 36.067 * * [simplify]: Extracting #0: cost 1 inf + 0 36.067 * * [simplify]: Extracting #1: cost 27 inf + 0 36.068 * * [simplify]: Extracting #2: cost 116 inf + 1 36.069 * * [simplify]: Extracting #3: cost 190 inf + 3 36.071 * * [simplify]: Extracting #4: cost 184 inf + 4125 36.081 * * [simplify]: Extracting #5: cost 63 inf + 31414 36.104 * * [simplify]: Extracting #6: cost 4 inf + 47655 36.124 * * [simplify]: Extracting #7: cost 0 inf + 48696 36.144 * * [simplify]: Extracting #8: cost 0 inf + 48688 36.165 * * [simplify]: Extracting #9: cost 0 inf + 48686 36.185 * [simplify]: Simplified to (- (/ (- (log (* (* 2 PI) n)) (* (log (* (* 2 PI) n)) k)) 2) (log (sqrt k))) 36.185 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* 2 PI) n)) (* (log (* (* 2 PI) n)) k)) 2) (log (sqrt k))))) 36.185 * * * * [progress]: [ 115 / 188 ] simplifiying candidate # 36.185 * [simplify]: Simplifying (+ (- 0 (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 36.185 * * [simplify]: iters left: 6 (16 enodes) 36.195 * * [simplify]: iters left: 5 (70 enodes) 36.219 * * [simplify]: iters left: 4 (128 enodes) 36.270 * * [simplify]: iters left: 3 (276 enodes) 36.391 * * [simplify]: Extracting #0: cost 1 inf + 0 36.391 * * [simplify]: Extracting #1: cost 27 inf + 0 36.391 * * [simplify]: Extracting #2: cost 116 inf + 1 36.393 * * [simplify]: Extracting #3: cost 190 inf + 3 36.395 * * [simplify]: Extracting #4: cost 184 inf + 4125 36.405 * * [simplify]: Extracting #5: cost 63 inf + 31414 36.418 * * [simplify]: Extracting #6: cost 4 inf + 47655 36.428 * * [simplify]: Extracting #7: cost 0 inf + 48696 36.438 * * [simplify]: Extracting #8: cost 0 inf + 48688 36.448 * * [simplify]: Extracting #9: cost 0 inf + 48686 36.461 * [simplify]: Simplified to (- (/ (- (log (* (* 2 PI) n)) (* (log (* (* 2 PI) n)) k)) 2) (log (sqrt k))) 36.461 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* 2 PI) n)) (* (log (* (* 2 PI) n)) k)) 2) (log (sqrt k))))) 36.461 * * * * [progress]: [ 116 / 188 ] simplifiying candidate # 36.461 * [simplify]: Simplifying (+ (- 0 (log (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 36.461 * * [simplify]: iters left: 6 (16 enodes) 36.466 * * [simplify]: iters left: 5 (69 enodes) 36.480 * * [simplify]: iters left: 4 (124 enodes) 36.509 * * [simplify]: iters left: 3 (259 enodes) 36.626 * * [simplify]: Extracting #0: cost 1 inf + 0 36.626 * * [simplify]: Extracting #1: cost 27 inf + 0 36.627 * * [simplify]: Extracting #2: cost 145 inf + 1 36.628 * * [simplify]: Extracting #3: cost 234 inf + 3 36.631 * * [simplify]: Extracting #4: cost 227 inf + 2046 36.636 * * [simplify]: Extracting #5: cost 143 inf + 17826 36.649 * * [simplify]: Extracting #6: cost 50 inf + 43416 36.669 * * [simplify]: Extracting #7: cost 0 inf + 57654 36.690 * * [simplify]: Extracting #8: cost 0 inf + 57614 36.701 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (log (* (* n 2) PI))) (log (sqrt k))) 36.701 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log (* (* n 2) PI))) (log (sqrt k))))) 36.701 * * * * [progress]: [ 117 / 188 ] simplifiying candidate # 36.701 * [simplify]: Simplifying (+ (- (log 1) (log (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2))) 36.701 * * [simplify]: iters left: 6 (18 enodes) 36.707 * * [simplify]: iters left: 5 (74 enodes) 36.719 * * [simplify]: iters left: 4 (123 enodes) 36.770 * * [simplify]: iters left: 3 (352 enodes) 36.936 * * [simplify]: Extracting #0: cost 1 inf + 0 36.936 * * [simplify]: Extracting #1: cost 44 inf + 0 36.936 * * [simplify]: Extracting #2: cost 169 inf + 1 36.937 * * [simplify]: Extracting #3: cost 243 inf + 74 36.938 * * [simplify]: Extracting #4: cost 252 inf + 1557 36.941 * * [simplify]: Extracting #5: cost 186 inf + 15412 36.951 * * [simplify]: Extracting #6: cost 49 inf + 60900 36.965 * * [simplify]: Extracting #7: cost 4 inf + 78429 36.983 * * [simplify]: Extracting #8: cost 0 inf + 80185 37.011 * [simplify]: Simplified to (- (/ (- (+ (log n) (+ (log PI) (log 2))) (* k (+ (log n) (+ (log PI) (log 2))))) 2) (log (sqrt k))) 37.011 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (+ (log PI) (log 2))) (* k (+ (log n) (+ (log PI) (log 2))))) 2) (log (sqrt k))))) 37.011 * * * * [progress]: [ 118 / 188 ] simplifiying candidate # 37.012 * [simplify]: Simplifying (+ (- (log 1) (log (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))) 37.012 * * [simplify]: iters left: 6 (17 enodes) 37.020 * * [simplify]: iters left: 5 (72 enodes) 37.031 * * [simplify]: iters left: 4 (116 enodes) 37.054 * * [simplify]: iters left: 3 (286 enodes) 37.198 * * [simplify]: Extracting #0: cost 1 inf + 0 37.199 * * [simplify]: Extracting #1: cost 36 inf + 0 37.199 * * [simplify]: Extracting #2: cost 139 inf + 1 37.200 * * [simplify]: Extracting #3: cost 209 inf + 3 37.204 * * [simplify]: Extracting #4: cost 196 inf + 6399 37.218 * * [simplify]: Extracting #5: cost 54 inf + 42664 37.240 * * [simplify]: Extracting #6: cost 1 inf + 60164 37.264 * * [simplify]: Extracting #7: cost 0 inf + 60309 37.288 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* PI 2))) (* k (+ (log n) (log (* PI 2))))) 2) (log (sqrt k))) 37.288 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* PI 2))) (* k (+ (log n) (log (* PI 2))))) 2) (log (sqrt k))))) 37.288 * * * * [progress]: [ 119 / 188 ] simplifiying candidate # 37.288 * [simplify]: Simplifying (+ (- (log 1) (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 37.288 * * [simplify]: iters left: 6 (16 enodes) 37.298 * * [simplify]: iters left: 5 (71 enodes) 37.321 * * [simplify]: iters left: 4 (123 enodes) 37.360 * * [simplify]: iters left: 3 (269 enodes) 37.452 * * [simplify]: Extracting #0: cost 1 inf + 0 37.452 * * [simplify]: Extracting #1: cost 27 inf + 0 37.452 * * [simplify]: Extracting #2: cost 116 inf + 1 37.453 * * [simplify]: Extracting #3: cost 190 inf + 3 37.454 * * [simplify]: Extracting #4: cost 179 inf + 5800 37.461 * * [simplify]: Extracting #5: cost 40 inf + 37465 37.471 * * [simplify]: Extracting #6: cost 0 inf + 48625 37.484 * [simplify]: Simplified to (- (/ (- (log (* n (* PI 2))) (* (log (* n (* PI 2))) k)) 2) (log (sqrt k))) 37.484 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* n (* PI 2))) (* (log (* n (* PI 2))) k)) 2) (log (sqrt k))))) 37.484 * * * * [progress]: [ 120 / 188 ] simplifiying candidate # 37.485 * [simplify]: Simplifying (+ (- (log 1) (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 37.485 * * [simplify]: iters left: 6 (16 enodes) 37.494 * * [simplify]: iters left: 5 (71 enodes) 37.516 * * [simplify]: iters left: 4 (123 enodes) 37.566 * * [simplify]: iters left: 3 (269 enodes) 37.661 * * [simplify]: Extracting #0: cost 1 inf + 0 37.661 * * [simplify]: Extracting #1: cost 27 inf + 0 37.661 * * [simplify]: Extracting #2: cost 116 inf + 1 37.662 * * [simplify]: Extracting #3: cost 190 inf + 3 37.663 * * [simplify]: Extracting #4: cost 179 inf + 5800 37.670 * * [simplify]: Extracting #5: cost 40 inf + 37465 37.680 * * [simplify]: Extracting #6: cost 0 inf + 48625 37.690 * [simplify]: Simplified to (- (/ (- (log (* n (* PI 2))) (* (log (* n (* PI 2))) k)) 2) (log (sqrt k))) 37.690 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* n (* PI 2))) (* (log (* n (* PI 2))) k)) 2) (log (sqrt k))))) 37.690 * * * * [progress]: [ 121 / 188 ] simplifiying candidate # 37.690 * [simplify]: Simplifying (+ (- (log 1) (log (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 37.690 * * [simplify]: iters left: 6 (16 enodes) 37.695 * * [simplify]: iters left: 5 (70 enodes) 37.716 * * [simplify]: iters left: 4 (119 enodes) 37.764 * * [simplify]: iters left: 3 (255 enodes) 37.869 * * [simplify]: Extracting #0: cost 1 inf + 0 37.869 * * [simplify]: Extracting #1: cost 28 inf + 0 37.870 * * [simplify]: Extracting #2: cost 145 inf + 1 37.871 * * [simplify]: Extracting #3: cost 234 inf + 3 37.873 * * [simplify]: Extracting #4: cost 225 inf + 2146 37.879 * * [simplify]: Extracting #5: cost 134 inf + 19971 37.893 * * [simplify]: Extracting #6: cost 36 inf + 44913 37.914 * * [simplify]: Extracting #7: cost 0 inf + 58023 37.931 * * [simplify]: Extracting #8: cost 0 inf + 57823 37.941 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (log (* PI (* n 2)))) (log (sqrt k))) 37.941 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log (* PI (* n 2)))) (log (sqrt k))))) 37.941 * * * * [progress]: [ 122 / 188 ] simplifiying candidate # 37.942 * [simplify]: Simplifying (+ (log (/ 1 (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2))) 37.942 * * [simplify]: iters left: 6 (17 enodes) 37.947 * * [simplify]: iters left: 5 (71 enodes) 37.959 * * [simplify]: iters left: 4 (117 enodes) 38.000 * * [simplify]: iters left: 3 (308 enodes) 38.125 * * [simplify]: Extracting #0: cost 1 inf + 0 38.125 * * [simplify]: Extracting #1: cost 36 inf + 0 38.126 * * [simplify]: Extracting #2: cost 109 inf + 1 38.127 * * [simplify]: Extracting #3: cost 168 inf + 74 38.129 * * [simplify]: Extracting #4: cost 180 inf + 1235 38.135 * * [simplify]: Extracting #5: cost 98 inf + 21050 38.154 * * [simplify]: Extracting #6: cost 6 inf + 53801 38.175 * * [simplify]: Extracting #7: cost 0 inf + 55704 38.191 * [simplify]: Simplified to (- (/ (- (+ (+ (log PI) (log n)) (log 2)) (* k (+ (+ (log PI) (log n)) (log 2)))) 2) (log (sqrt k))) 38.191 * [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))))) 38.191 * * * * [progress]: [ 123 / 188 ] simplifiying candidate # 38.191 * [simplify]: Simplifying (+ (log (/ 1 (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))) 38.191 * * [simplify]: iters left: 6 (16 enodes) 38.199 * * [simplify]: iters left: 5 (69 enodes) 38.219 * * [simplify]: iters left: 4 (110 enodes) 38.259 * * [simplify]: iters left: 3 (249 enodes) 38.368 * * [simplify]: Extracting #0: cost 1 inf + 0 38.368 * * [simplify]: Extracting #1: cost 29 inf + 0 38.368 * * [simplify]: Extracting #2: cost 89 inf + 1 38.369 * * [simplify]: Extracting #3: cost 144 inf + 3 38.369 * * [simplify]: Extracting #4: cost 163 inf + 464 38.371 * * [simplify]: Extracting #5: cost 105 inf + 8181 38.377 * * [simplify]: Extracting #6: cost 14 inf + 37863 38.389 * * [simplify]: Extracting #7: cost 1 inf + 41636 38.405 * * [simplify]: Extracting #8: cost 0 inf + 41977 38.414 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))) 38.414 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))))) 38.414 * * * * [progress]: [ 124 / 188 ] simplifiying candidate # 38.414 * [simplify]: Simplifying (+ (log (/ 1 (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 38.415 * * [simplify]: iters left: 6 (15 enodes) 38.419 * * [simplify]: iters left: 5 (68 enodes) 38.441 * * [simplify]: iters left: 4 (117 enodes) 38.480 * * [simplify]: iters left: 3 (233 enodes) 38.586 * * [simplify]: Extracting #0: cost 1 inf + 0 38.587 * * [simplify]: Extracting #1: cost 21 inf + 0 38.587 * * [simplify]: Extracting #2: cost 77 inf + 1 38.588 * * [simplify]: Extracting #3: cost 133 inf + 74 38.589 * * [simplify]: Extracting #4: cost 151 inf + 995 38.591 * * [simplify]: Extracting #5: cost 77 inf + 13831 38.596 * * [simplify]: Extracting #6: cost 6 inf + 31822 38.603 * * [simplify]: Extracting #7: cost 0 inf + 34387 38.610 * [simplify]: Simplified to (- (/ (- (log (* (* 2 PI) n)) (* (log (* (* 2 PI) n)) k)) 2) (log (sqrt k))) 38.610 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* 2 PI) n)) (* (log (* (* 2 PI) n)) k)) 2) (log (sqrt k))))) 38.610 * * * * [progress]: [ 125 / 188 ] simplifiying candidate # 38.611 * [simplify]: Simplifying (+ (log (/ 1 (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 38.611 * * [simplify]: iters left: 6 (15 enodes) 38.615 * * [simplify]: iters left: 5 (68 enodes) 38.636 * * [simplify]: iters left: 4 (117 enodes) 38.674 * * [simplify]: iters left: 3 (233 enodes) 38.743 * * [simplify]: Extracting #0: cost 1 inf + 0 38.743 * * [simplify]: Extracting #1: cost 21 inf + 0 38.743 * * [simplify]: Extracting #2: cost 77 inf + 1 38.744 * * [simplify]: Extracting #3: cost 133 inf + 74 38.744 * * [simplify]: Extracting #4: cost 151 inf + 995 38.747 * * [simplify]: Extracting #5: cost 77 inf + 13831 38.752 * * [simplify]: Extracting #6: cost 6 inf + 31822 38.768 * * [simplify]: Extracting #7: cost 0 inf + 34387 38.782 * [simplify]: Simplified to (- (/ (- (log (* (* 2 PI) n)) (* (log (* (* 2 PI) n)) k)) 2) (log (sqrt k))) 38.782 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* 2 PI) n)) (* (log (* (* 2 PI) n)) k)) 2) (log (sqrt k))))) 38.783 * * * * [progress]: [ 126 / 188 ] simplifiying candidate # 38.783 * [simplify]: Simplifying (+ (log (/ 1 (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 38.783 * * [simplify]: iters left: 6 (15 enodes) 38.791 * * [simplify]: iters left: 5 (67 enodes) 38.814 * * [simplify]: iters left: 4 (117 enodes) 38.853 * * [simplify]: iters left: 3 (224 enodes) 38.943 * * [simplify]: Extracting #0: cost 1 inf + 0 38.943 * * [simplify]: Extracting #1: cost 22 inf + 0 38.943 * * [simplify]: Extracting #2: cost 106 inf + 1 38.944 * * [simplify]: Extracting #3: cost 179 inf + 74 38.944 * * [simplify]: Extracting #4: cost 179 inf + 1141 38.946 * * [simplify]: Extracting #5: cost 125 inf + 10759 38.951 * * [simplify]: Extracting #6: cost 29 inf + 38783 38.960 * * [simplify]: Extracting #7: cost 1 inf + 44007 38.975 * * [simplify]: Extracting #8: cost 0 inf + 44283 38.986 * [simplify]: Simplified to (- (* (log (* PI (* n 2))) (/ (- 1 k) 2)) (log (sqrt k))) 38.986 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (log (* PI (* n 2))) (/ (- 1 k) 2)) (log (sqrt k))))) 38.986 * * * * [progress]: [ 127 / 188 ] simplifiying candidate # 38.986 * * * * [progress]: [ 128 / 188 ] simplifiying candidate # 38.986 * * * * [progress]: [ 129 / 188 ] simplifiying candidate # 38.986 * [simplify]: Simplifying (* (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 38.987 * * [simplify]: iters left: 6 (19 enodes) 38.992 * * [simplify]: iters left: 5 (80 enodes) 39.012 * * [simplify]: iters left: 4 (188 enodes) 39.111 * * [simplify]: Extracting #0: cost 1 inf + 0 39.111 * * [simplify]: Extracting #1: cost 52 inf + 0 39.111 * * [simplify]: Extracting #2: cost 152 inf + 248 39.112 * * [simplify]: Extracting #3: cost 161 inf + 1681 39.113 * * [simplify]: Extracting #4: cost 148 inf + 2885 39.116 * * [simplify]: Extracting #5: cost 100 inf + 19336 39.127 * * [simplify]: Extracting #6: cost 2 inf + 75093 39.142 * * [simplify]: Extracting #7: cost 0 inf + 75063 39.168 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (/ (/ (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (pow (* (* PI 2) n) (/ (- 1 k) 2))) k) (sqrt k))) 39.168 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (/ (/ (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (pow (* (* PI 2) n) (/ (- 1 k) 2))) k) (sqrt k))))) 39.169 * * * * [progress]: [ 130 / 188 ] simplifiying candidate # 39.169 * [simplify]: Simplifying (* (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))) (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 39.169 * * [simplify]: iters left: 6 (17 enodes) 39.177 * * [simplify]: iters left: 5 (81 enodes) 39.193 * * [simplify]: iters left: 4 (170 enodes) 39.280 * * [simplify]: iters left: 3 (476 enodes) 39.672 * * [simplify]: Extracting #0: cost 1 inf + 0 39.672 * * [simplify]: Extracting #1: cost 91 inf + 0 39.675 * * [simplify]: Extracting #2: cost 417 inf + 3 39.678 * * [simplify]: Extracting #3: cost 448 inf + 952 39.683 * * [simplify]: Extracting #4: cost 416 inf + 4772 39.693 * * [simplify]: Extracting #5: cost 331 inf + 49541 39.727 * * [simplify]: Extracting #6: cost 64 inf + 238599 39.812 * * [simplify]: Extracting #7: cost 0 inf + 283122 39.882 * * [simplify]: Extracting #8: cost 0 inf + 280464 39.943 * * [simplify]: Extracting #9: cost 0 inf + 280424 40.024 * [simplify]: Simplified to (* (/ (* (* (pow (* n (* PI 2)) (/ (- 1 k) 4)) (pow (* n (* PI 2)) (/ (- 1 k) 4))) (pow (* n (* PI 2)) (/ (- 1 k) 4))) (* k (sqrt k))) (* (* (pow (* n (* PI 2)) (/ (- 1 k) 4)) (pow (* n (* PI 2)) (/ (- 1 k) 4))) (pow (* n (* PI 2)) (/ (- 1 k) 4)))) 40.024 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (/ (* (* (pow (* n (* PI 2)) (/ (- 1 k) 4)) (pow (* n (* PI 2)) (/ (- 1 k) 4))) (pow (* n (* PI 2)) (/ (- 1 k) 4))) (* k (sqrt k))) (* (* (pow (* n (* PI 2)) (/ (- 1 k) 4)) (pow (* n (* PI 2)) (/ (- 1 k) 4))) (pow (* n (* PI 2)) (/ (- 1 k) 4)))))) 40.024 * * * * [progress]: [ 131 / 188 ] simplifiying candidate # 40.024 * * * * [progress]: [ 132 / 188 ] simplifiying candidate # 40.024 * * * * [progress]: [ 133 / 188 ] simplifiying candidate # 40.024 * * * * [progress]: [ 134 / 188 ] simplifiying candidate # 40.025 * [simplify]: Simplifying (* 1 (pow (* (* 2 PI) n) (/ 1 2))) 40.025 * * [simplify]: iters left: 6 (9 enodes) 40.029 * * [simplify]: iters left: 5 (37 enodes) 40.036 * * [simplify]: iters left: 4 (66 enodes) 40.056 * * [simplify]: iters left: 3 (105 enodes) 40.095 * * [simplify]: iters left: 2 (164 enodes) 40.153 * * [simplify]: iters left: 1 (292 enodes) 40.302 * * [simplify]: Extracting #0: cost 1 inf + 0 40.302 * * [simplify]: Extracting #1: cost 18 inf + 0 40.303 * * [simplify]: Extracting #2: cost 64 inf + 3 40.304 * * [simplify]: Extracting #3: cost 68 inf + 53 40.305 * * [simplify]: Extracting #4: cost 55 inf + 2111 40.308 * * [simplify]: Extracting #5: cost 21 inf + 17969 40.316 * * [simplify]: Extracting #6: cost 0 inf + 32739 40.321 * * [simplify]: Extracting #7: cost 0 inf + 32659 40.325 * [simplify]: Simplified to (sqrt (* PI (* 2 n))) 40.325 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (* PI (* 2 n))) (* (sqrt k) (pow (* (* 2 PI) n) (/ k 2))))) 40.325 * [simplify]: Simplifying (* (sqrt k) (pow (* (* 2 PI) n) (/ k 2))) 40.325 * * [simplify]: iters left: 6 (10 enodes) 40.328 * * [simplify]: iters left: 5 (38 enodes) 40.339 * * [simplify]: iters left: 4 (62 enodes) 40.350 * * [simplify]: iters left: 3 (104 enodes) 40.384 * * [simplify]: iters left: 2 (205 enodes) 40.443 * * [simplify]: iters left: 1 (464 enodes) 40.750 * * [simplify]: Extracting #0: cost 1 inf + 0 40.750 * * [simplify]: Extracting #1: cost 47 inf + 0 40.752 * * [simplify]: Extracting #2: cost 169 inf + 0 40.754 * * [simplify]: Extracting #3: cost 207 inf + 87 40.758 * * [simplify]: Extracting #4: cost 170 inf + 6541 40.766 * * [simplify]: Extracting #5: cost 78 inf + 60938 40.789 * * [simplify]: Extracting #6: cost 4 inf + 129528 40.819 * * [simplify]: Extracting #7: cost 0 inf + 129330 40.839 * * [simplify]: Extracting #8: cost 0 inf + 127557 40.881 * * [simplify]: Extracting #9: cost 0 inf + 127427 40.904 * [simplify]: Simplified to (* (pow (* (* 2 PI) n) (/ k 2)) (sqrt k)) 40.904 * [simplify]: Simplified (2 2) to (λ (k n) (/ (sqrt (* PI (* 2 n))) (* (pow (* (* 2 PI) n) (/ k 2)) (sqrt k)))) 40.904 * * * * [progress]: [ 135 / 188 ] simplifiying candidate # 40.904 * * * * [progress]: [ 136 / 188 ] simplifiying candidate # 40.904 * [simplify]: Simplifying (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 40.904 * * [simplify]: iters left: 6 (15 enodes) 40.908 * * [simplify]: iters left: 5 (61 enodes) 40.923 * * [simplify]: iters left: 4 (91 enodes) 40.952 * * [simplify]: iters left: 3 (129 enodes) 40.997 * * [simplify]: iters left: 2 (215 enodes) 41.057 * * [simplify]: iters left: 1 (375 enodes) 41.208 * * [simplify]: Extracting #0: cost 1 inf + 0 41.208 * * [simplify]: Extracting #1: cost 4 inf + 0 41.208 * * [simplify]: Extracting #2: cost 9 inf + 0 41.208 * * [simplify]: Extracting #3: cost 39 inf + 0 41.208 * * [simplify]: Extracting #4: cost 118 inf + 2 41.209 * * [simplify]: Extracting #5: cost 138 inf + 713 41.214 * * [simplify]: Extracting #6: cost 87 inf + 9065 41.220 * * [simplify]: Extracting #7: cost 12 inf + 46205 41.234 * * [simplify]: Extracting #8: cost 0 inf + 55733 41.254 * * [simplify]: Extracting #9: cost 0 inf + 54639 41.265 * * [simplify]: Extracting #10: cost 0 inf + 54558 41.276 * [simplify]: Simplified to (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) 41.276 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 41.276 * [simplify]: Simplifying (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 41.276 * * [simplify]: iters left: 6 (15 enodes) 41.281 * * [simplify]: iters left: 5 (61 enodes) 41.293 * * [simplify]: iters left: 4 (91 enodes) 41.322 * * [simplify]: iters left: 3 (129 enodes) 41.349 * * [simplify]: iters left: 2 (215 enodes) 41.398 * * [simplify]: iters left: 1 (375 enodes) 41.519 * * [simplify]: Extracting #0: cost 1 inf + 0 41.519 * * [simplify]: Extracting #1: cost 4 inf + 0 41.519 * * [simplify]: Extracting #2: cost 9 inf + 0 41.520 * * [simplify]: Extracting #3: cost 39 inf + 0 41.520 * * [simplify]: Extracting #4: cost 118 inf + 2 41.521 * * [simplify]: Extracting #5: cost 138 inf + 713 41.522 * * [simplify]: Extracting #6: cost 87 inf + 9065 41.528 * * [simplify]: Extracting #7: cost 12 inf + 46205 41.543 * * [simplify]: Extracting #8: cost 0 inf + 55733 41.563 * * [simplify]: Extracting #9: cost 0 inf + 54639 41.583 * * [simplify]: Extracting #10: cost 0 inf + 54558 41.604 * [simplify]: Simplified to (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) 41.604 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))))) 41.604 * * * * [progress]: [ 137 / 188 ] simplifiying candidate # 41.604 * [simplify]: Simplifying (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 41.604 * * [simplify]: iters left: 6 (15 enodes) 41.613 * * [simplify]: iters left: 5 (64 enodes) 41.631 * * [simplify]: iters left: 4 (101 enodes) 41.648 * * [simplify]: iters left: 3 (160 enodes) 41.685 * * [simplify]: iters left: 2 (299 enodes) 41.796 * * [simplify]: Extracting #0: cost 1 inf + 0 41.796 * * [simplify]: Extracting #1: cost 34 inf + 0 41.797 * * [simplify]: Extracting #2: cost 102 inf + 0 41.797 * * [simplify]: Extracting #3: cost 155 inf + 2 41.798 * * [simplify]: Extracting #4: cost 168 inf + 139 41.799 * * [simplify]: Extracting #5: cost 136 inf + 4159 41.802 * * [simplify]: Extracting #6: cost 78 inf + 13897 41.810 * * [simplify]: Extracting #7: cost 16 inf + 59233 41.821 * * [simplify]: Extracting #8: cost 0 inf + 73111 41.837 * * [simplify]: Extracting #9: cost 0 inf + 73021 41.858 * [simplify]: Simplified to (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))) 41.858 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))) 41.858 * [simplify]: Simplifying (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 41.859 * * [simplify]: iters left: 6 (15 enodes) 41.863 * * [simplify]: iters left: 5 (64 enodes) 41.874 * * [simplify]: iters left: 4 (101 enodes) 41.896 * * [simplify]: iters left: 3 (160 enodes) 41.955 * * [simplify]: iters left: 2 (299 enodes) 42.040 * * [simplify]: Extracting #0: cost 1 inf + 0 42.040 * * [simplify]: Extracting #1: cost 34 inf + 0 42.040 * * [simplify]: Extracting #2: cost 102 inf + 0 42.041 * * [simplify]: Extracting #3: cost 155 inf + 2 42.043 * * [simplify]: Extracting #4: cost 168 inf + 139 42.049 * * [simplify]: Extracting #5: cost 136 inf + 4159 42.054 * * [simplify]: Extracting #6: cost 78 inf + 13897 42.062 * * [simplify]: Extracting #7: cost 16 inf + 59233 42.072 * * [simplify]: Extracting #8: cost 0 inf + 73111 42.083 * * [simplify]: Extracting #9: cost 0 inf + 73021 42.104 * [simplify]: Simplified to (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))) 42.104 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))))) 42.104 * * * * [progress]: [ 138 / 188 ] simplifiying candidate # 42.105 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 42.105 * * [simplify]: iters left: 6 (16 enodes) 42.114 * * [simplify]: iters left: 5 (66 enodes) 42.133 * * [simplify]: iters left: 4 (106 enodes) 42.150 * * [simplify]: iters left: 3 (156 enodes) 42.179 * * [simplify]: iters left: 2 (230 enodes) 42.239 * * [simplify]: iters left: 1 (385 enodes) 42.396 * * [simplify]: Extracting #0: cost 1 inf + 0 42.396 * * [simplify]: Extracting #1: cost 7 inf + 0 42.396 * * [simplify]: Extracting #2: cost 13 inf + 1 42.396 * * [simplify]: Extracting #3: cost 39 inf + 1 42.396 * * [simplify]: Extracting #4: cost 111 inf + 288 42.397 * * [simplify]: Extracting #5: cost 135 inf + 1697 42.400 * * [simplify]: Extracting #6: cost 69 inf + 16537 42.408 * * [simplify]: Extracting #7: cost 2 inf + 58558 42.417 * * [simplify]: Extracting #8: cost 0 inf + 59911 42.430 * * [simplify]: Extracting #9: cost 0 inf + 59711 42.449 * [simplify]: Simplified to (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 42.449 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 42.450 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 42.450 * * [simplify]: iters left: 6 (16 enodes) 42.459 * * [simplify]: iters left: 5 (66 enodes) 42.485 * * [simplify]: iters left: 4 (106 enodes) 42.508 * * [simplify]: iters left: 3 (156 enodes) 42.539 * * [simplify]: iters left: 2 (230 enodes) 42.597 * * [simplify]: iters left: 1 (385 enodes) 42.789 * * [simplify]: Extracting #0: cost 1 inf + 0 42.789 * * [simplify]: Extracting #1: cost 7 inf + 0 42.790 * * [simplify]: Extracting #2: cost 13 inf + 1 42.790 * * [simplify]: Extracting #3: cost 39 inf + 1 42.791 * * [simplify]: Extracting #4: cost 111 inf + 288 42.793 * * [simplify]: Extracting #5: cost 135 inf + 1697 42.798 * * [simplify]: Extracting #6: cost 69 inf + 16537 42.814 * * [simplify]: Extracting #7: cost 2 inf + 58558 42.836 * * [simplify]: Extracting #8: cost 0 inf + 59911 42.854 * * [simplify]: Extracting #9: cost 0 inf + 59711 42.872 * [simplify]: Simplified to (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 42.872 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 42.872 * * * * [progress]: [ 139 / 188 ] simplifiying candidate # 42.873 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 42.873 * * [simplify]: iters left: 6 (16 enodes) 42.883 * * [simplify]: iters left: 5 (69 enodes) 42.906 * * [simplify]: iters left: 4 (113 enodes) 42.945 * * [simplify]: iters left: 3 (192 enodes) 43.022 * * [simplify]: iters left: 2 (378 enodes) 43.152 * * [simplify]: Extracting #0: cost 1 inf + 0 43.152 * * [simplify]: Extracting #1: cost 45 inf + 0 43.153 * * [simplify]: Extracting #2: cost 112 inf + 1 43.153 * * [simplify]: Extracting #3: cost 167 inf + 3 43.154 * * [simplify]: Extracting #4: cost 176 inf + 259 43.155 * * [simplify]: Extracting #5: cost 141 inf + 5103 43.159 * * [simplify]: Extracting #6: cost 76 inf + 19730 43.169 * * [simplify]: Extracting #7: cost 10 inf + 66527 43.194 * * [simplify]: Extracting #8: cost 0 inf + 76629 43.210 * [simplify]: Simplified to (/ (pow (* (* n 2) PI) (* 1/4 (- 1 k))) (sqrt (sqrt k))) 43.210 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* n 2) PI) (* 1/4 (- 1 k))) (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))) 43.210 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 43.210 * * [simplify]: iters left: 6 (16 enodes) 43.216 * * [simplify]: iters left: 5 (69 enodes) 43.228 * * [simplify]: iters left: 4 (113 enodes) 43.255 * * [simplify]: iters left: 3 (192 enodes) 43.315 * * [simplify]: iters left: 2 (378 enodes) 43.430 * * [simplify]: Extracting #0: cost 1 inf + 0 43.430 * * [simplify]: Extracting #1: cost 45 inf + 0 43.430 * * [simplify]: Extracting #2: cost 112 inf + 1 43.431 * * [simplify]: Extracting #3: cost 167 inf + 3 43.432 * * [simplify]: Extracting #4: cost 176 inf + 259 43.433 * * [simplify]: Extracting #5: cost 141 inf + 5103 43.437 * * [simplify]: Extracting #6: cost 76 inf + 19730 43.447 * * [simplify]: Extracting #7: cost 10 inf + 66527 43.462 * * [simplify]: Extracting #8: cost 0 inf + 76629 43.480 * [simplify]: Simplified to (/ (pow (* (* n 2) PI) (* 1/4 (- 1 k))) (sqrt (sqrt k))) 43.480 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (/ (pow (* (* n 2) PI) (* 1/4 (- 1 k))) (sqrt (sqrt k))))) 43.480 * * * * [progress]: [ 140 / 188 ] simplifiying candidate # 43.480 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 43.481 * * [simplify]: iters left: 6 (16 enodes) 43.490 * * [simplify]: iters left: 5 (66 enodes) 43.505 * * [simplify]: iters left: 4 (106 enodes) 43.523 * * [simplify]: iters left: 3 (156 enodes) 43.564 * * [simplify]: iters left: 2 (230 enodes) 43.608 * * [simplify]: iters left: 1 (385 enodes) 43.732 * * [simplify]: Extracting #0: cost 1 inf + 0 43.732 * * [simplify]: Extracting #1: cost 7 inf + 0 43.733 * * [simplify]: Extracting #2: cost 13 inf + 1 43.733 * * [simplify]: Extracting #3: cost 39 inf + 1 43.733 * * [simplify]: Extracting #4: cost 111 inf + 288 43.734 * * [simplify]: Extracting #5: cost 135 inf + 1697 43.737 * * [simplify]: Extracting #6: cost 69 inf + 16537 43.745 * * [simplify]: Extracting #7: cost 2 inf + 58558 43.753 * * [simplify]: Extracting #8: cost 0 inf + 59911 43.763 * * [simplify]: Extracting #9: cost 0 inf + 59711 43.781 * [simplify]: Simplified to (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 43.782 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 43.782 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 43.782 * * [simplify]: iters left: 6 (16 enodes) 43.792 * * [simplify]: iters left: 5 (66 enodes) 43.806 * * [simplify]: iters left: 4 (106 enodes) 43.828 * * [simplify]: iters left: 3 (156 enodes) 43.871 * * [simplify]: iters left: 2 (230 enodes) 43.928 * * [simplify]: iters left: 1 (385 enodes) 44.074 * * [simplify]: Extracting #0: cost 1 inf + 0 44.074 * * [simplify]: Extracting #1: cost 7 inf + 0 44.074 * * [simplify]: Extracting #2: cost 13 inf + 1 44.074 * * [simplify]: Extracting #3: cost 39 inf + 1 44.074 * * [simplify]: Extracting #4: cost 111 inf + 288 44.075 * * [simplify]: Extracting #5: cost 135 inf + 1697 44.078 * * [simplify]: Extracting #6: cost 69 inf + 16537 44.091 * * [simplify]: Extracting #7: cost 2 inf + 58558 44.105 * * [simplify]: Extracting #8: cost 0 inf + 59911 44.115 * * [simplify]: Extracting #9: cost 0 inf + 59711 44.123 * [simplify]: Simplified to (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 44.124 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 44.124 * * * * [progress]: [ 141 / 188 ] simplifiying candidate # 44.124 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 44.124 * * [simplify]: iters left: 6 (16 enodes) 44.132 * * [simplify]: iters left: 5 (69 enodes) 44.143 * * [simplify]: iters left: 4 (113 enodes) 44.177 * * [simplify]: iters left: 3 (192 enodes) 44.252 * * [simplify]: iters left: 2 (378 enodes) 44.408 * * [simplify]: Extracting #0: cost 1 inf + 0 44.409 * * [simplify]: Extracting #1: cost 45 inf + 0 44.409 * * [simplify]: Extracting #2: cost 112 inf + 1 44.410 * * [simplify]: Extracting #3: cost 167 inf + 3 44.412 * * [simplify]: Extracting #4: cost 176 inf + 259 44.415 * * [simplify]: Extracting #5: cost 141 inf + 5103 44.422 * * [simplify]: Extracting #6: cost 76 inf + 19730 44.442 * * [simplify]: Extracting #7: cost 10 inf + 66527 44.467 * * [simplify]: Extracting #8: cost 0 inf + 76629 44.493 * [simplify]: Simplified to (/ (pow (* (* n 2) PI) (* 1/4 (- 1 k))) (sqrt (sqrt k))) 44.493 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* n 2) PI) (* 1/4 (- 1 k))) (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))) 44.493 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 44.493 * * [simplify]: iters left: 6 (16 enodes) 44.507 * * [simplify]: iters left: 5 (69 enodes) 44.519 * * [simplify]: iters left: 4 (113 enodes) 44.541 * * [simplify]: iters left: 3 (192 enodes) 44.593 * * [simplify]: iters left: 2 (378 enodes) 44.718 * * [simplify]: Extracting #0: cost 1 inf + 0 44.718 * * [simplify]: Extracting #1: cost 45 inf + 0 44.719 * * [simplify]: Extracting #2: cost 112 inf + 1 44.720 * * [simplify]: Extracting #3: cost 167 inf + 3 44.720 * * [simplify]: Extracting #4: cost 176 inf + 259 44.722 * * [simplify]: Extracting #5: cost 141 inf + 5103 44.726 * * [simplify]: Extracting #6: cost 76 inf + 19730 44.747 * * [simplify]: Extracting #7: cost 10 inf + 66527 44.762 * * [simplify]: Extracting #8: cost 0 inf + 76629 44.775 * [simplify]: Simplified to (/ (pow (* (* n 2) PI) (* 1/4 (- 1 k))) (sqrt (sqrt k))) 44.775 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (/ (pow (* (* n 2) PI) (* 1/4 (- 1 k))) (sqrt (sqrt k))))) 44.775 * * * * [progress]: [ 142 / 188 ] simplifiying candidate # 44.775 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 44.776 * * [simplify]: iters left: 6 (15 enodes) 44.780 * * [simplify]: iters left: 5 (63 enodes) 44.794 * * [simplify]: iters left: 4 (97 enodes) 44.824 * * [simplify]: iters left: 3 (152 enodes) 44.851 * * [simplify]: iters left: 2 (244 enodes) 44.907 * * [simplify]: iters left: 1 (400 enodes) 45.044 * * [simplify]: Extracting #0: cost 1 inf + 0 45.044 * * [simplify]: Extracting #1: cost 7 inf + 0 45.045 * * [simplify]: Extracting #2: cost 13 inf + 1 45.045 * * [simplify]: Extracting #3: cost 39 inf + 1 45.045 * * [simplify]: Extracting #4: cost 113 inf + 3 45.046 * * [simplify]: Extracting #5: cost 147 inf + 1541 45.049 * * [simplify]: Extracting #6: cost 70 inf + 15032 45.055 * * [simplify]: Extracting #7: cost 17 inf + 41663 45.064 * * [simplify]: Extracting #8: cost 0 inf + 55513 45.425 * * [simplify]: Extracting #9: cost 0 inf + 55313 45.440 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))) 45.440 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 45.440 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 45.440 * * [simplify]: iters left: 6 (15 enodes) 45.444 * * [simplify]: iters left: 5 (63 enodes) 45.455 * * [simplify]: iters left: 4 (97 enodes) 45.472 * * [simplify]: iters left: 3 (152 enodes) 45.501 * * [simplify]: iters left: 2 (244 enodes) 45.582 * * [simplify]: iters left: 1 (400 enodes) 45.719 * * [simplify]: Extracting #0: cost 1 inf + 0 45.719 * * [simplify]: Extracting #1: cost 7 inf + 0 45.719 * * [simplify]: Extracting #2: cost 13 inf + 1 45.719 * * [simplify]: Extracting #3: cost 39 inf + 1 45.720 * * [simplify]: Extracting #4: cost 113 inf + 3 45.723 * * [simplify]: Extracting #5: cost 147 inf + 1541 45.726 * * [simplify]: Extracting #6: cost 70 inf + 15032 45.733 * * [simplify]: Extracting #7: cost 17 inf + 41663 45.741 * * [simplify]: Extracting #8: cost 0 inf + 55513 45.758 * * [simplify]: Extracting #9: cost 0 inf + 55313 45.766 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))) 45.766 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))))) 45.766 * * * * [progress]: [ 143 / 188 ] simplifiying candidate # 45.767 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 45.767 * * [simplify]: iters left: 6 (15 enodes) 45.771 * * [simplify]: iters left: 5 (66 enodes) 45.783 * * [simplify]: iters left: 4 (109 enodes) 45.821 * * [simplify]: iters left: 3 (192 enodes) 45.898 * * [simplify]: iters left: 2 (371 enodes) 46.075 * * [simplify]: Extracting #0: cost 1 inf + 0 46.075 * * [simplify]: Extracting #1: cost 40 inf + 0 46.076 * * [simplify]: Extracting #2: cost 127 inf + 1 46.077 * * [simplify]: Extracting #3: cost 186 inf + 3 46.079 * * [simplify]: Extracting #4: cost 180 inf + 1500 46.084 * * [simplify]: Extracting #5: cost 115 inf + 12508 46.103 * * [simplify]: Extracting #6: cost 18 inf + 70745 46.128 * * [simplify]: Extracting #7: cost 0 inf + 85905 46.142 * [simplify]: Simplified to (/ (pow (* (* PI n) 2) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 46.142 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI n) 2) (- 1/4 (/ k 4))) (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))) 46.142 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 46.142 * * [simplify]: iters left: 6 (15 enodes) 46.147 * * [simplify]: iters left: 5 (66 enodes) 46.162 * * [simplify]: iters left: 4 (109 enodes) 46.204 * * [simplify]: iters left: 3 (192 enodes) 46.282 * * [simplify]: iters left: 2 (371 enodes) 46.430 * * [simplify]: Extracting #0: cost 1 inf + 0 46.430 * * [simplify]: Extracting #1: cost 40 inf + 0 46.431 * * [simplify]: Extracting #2: cost 127 inf + 1 46.431 * * [simplify]: Extracting #3: cost 186 inf + 3 46.432 * * [simplify]: Extracting #4: cost 180 inf + 1500 46.435 * * [simplify]: Extracting #5: cost 115 inf + 12508 46.448 * * [simplify]: Extracting #6: cost 18 inf + 70745 46.472 * * [simplify]: Extracting #7: cost 0 inf + 85905 46.486 * [simplify]: Simplified to (/ (pow (* (* PI n) 2) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 46.486 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (/ (pow (* (* PI n) 2) (- 1/4 (/ k 4))) (sqrt (sqrt k))))) 46.486 * * * * [progress]: [ 144 / 188 ] simplifiying candidate # 46.486 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 46.486 * * [simplify]: iters left: 6 (15 enodes) 46.490 * * [simplify]: iters left: 5 (63 enodes) 46.509 * * [simplify]: iters left: 4 (97 enodes) 46.540 * * [simplify]: iters left: 3 (152 enodes) 46.568 * * [simplify]: iters left: 2 (244 enodes) 46.645 * * [simplify]: iters left: 1 (400 enodes) 46.787 * * [simplify]: Extracting #0: cost 1 inf + 0 46.787 * * [simplify]: Extracting #1: cost 7 inf + 0 46.787 * * [simplify]: Extracting #2: cost 13 inf + 1 46.787 * * [simplify]: Extracting #3: cost 39 inf + 1 46.788 * * [simplify]: Extracting #4: cost 113 inf + 3 46.788 * * [simplify]: Extracting #5: cost 147 inf + 1541 46.791 * * [simplify]: Extracting #6: cost 70 inf + 15032 46.798 * * [simplify]: Extracting #7: cost 17 inf + 41663 46.807 * * [simplify]: Extracting #8: cost 0 inf + 55513 46.817 * * [simplify]: Extracting #9: cost 0 inf + 55313 46.826 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))) 46.826 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 46.826 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 46.826 * * [simplify]: iters left: 6 (15 enodes) 46.832 * * [simplify]: iters left: 5 (63 enodes) 46.851 * * [simplify]: iters left: 4 (97 enodes) 46.873 * * [simplify]: iters left: 3 (152 enodes) 46.903 * * [simplify]: iters left: 2 (244 enodes) 46.948 * * [simplify]: iters left: 1 (400 enodes) 47.107 * * [simplify]: Extracting #0: cost 1 inf + 0 47.107 * * [simplify]: Extracting #1: cost 7 inf + 0 47.107 * * [simplify]: Extracting #2: cost 13 inf + 1 47.107 * * [simplify]: Extracting #3: cost 39 inf + 1 47.108 * * [simplify]: Extracting #4: cost 113 inf + 3 47.109 * * [simplify]: Extracting #5: cost 147 inf + 1541 47.119 * * [simplify]: Extracting #6: cost 70 inf + 15032 47.132 * * [simplify]: Extracting #7: cost 17 inf + 41663 47.150 * * [simplify]: Extracting #8: cost 0 inf + 55513 47.165 * * [simplify]: Extracting #9: cost 0 inf + 55313 47.173 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))) 47.173 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))))) 47.173 * * * * [progress]: [ 145 / 188 ] simplifiying candidate # 47.174 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 47.174 * * [simplify]: iters left: 6 (15 enodes) 47.179 * * [simplify]: iters left: 5 (66 enodes) 47.190 * * [simplify]: iters left: 4 (109 enodes) 47.222 * * [simplify]: iters left: 3 (192 enodes) 47.276 * * [simplify]: iters left: 2 (371 enodes) 47.416 * * [simplify]: Extracting #0: cost 1 inf + 0 47.416 * * [simplify]: Extracting #1: cost 40 inf + 0 47.417 * * [simplify]: Extracting #2: cost 127 inf + 1 47.418 * * [simplify]: Extracting #3: cost 186 inf + 3 47.421 * * [simplify]: Extracting #4: cost 180 inf + 1500 47.426 * * [simplify]: Extracting #5: cost 115 inf + 12508 47.445 * * [simplify]: Extracting #6: cost 18 inf + 70745 47.466 * * [simplify]: Extracting #7: cost 0 inf + 85905 47.480 * [simplify]: Simplified to (/ (pow (* (* PI n) 2) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 47.480 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI n) 2) (- 1/4 (/ k 4))) (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))) 47.480 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 47.480 * * [simplify]: iters left: 6 (15 enodes) 47.485 * * [simplify]: iters left: 5 (66 enodes) 47.502 * * [simplify]: iters left: 4 (109 enodes) 47.524 * * [simplify]: iters left: 3 (192 enodes) 47.569 * * [simplify]: iters left: 2 (371 enodes) 47.704 * * [simplify]: Extracting #0: cost 1 inf + 0 47.705 * * [simplify]: Extracting #1: cost 40 inf + 0 47.705 * * [simplify]: Extracting #2: cost 127 inf + 1 47.707 * * [simplify]: Extracting #3: cost 186 inf + 3 47.709 * * [simplify]: Extracting #4: cost 180 inf + 1500 47.711 * * [simplify]: Extracting #5: cost 115 inf + 12508 47.721 * * [simplify]: Extracting #6: cost 18 inf + 70745 47.734 * * [simplify]: Extracting #7: cost 0 inf + 85905 47.760 * [simplify]: Simplified to (/ (pow (* (* PI n) 2) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 47.760 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (/ (pow (* (* PI n) 2) (- 1/4 (/ k 4))) (sqrt (sqrt k))))) 47.760 * * * * [progress]: [ 146 / 188 ] simplifiying candidate # 47.760 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 47.760 * * [simplify]: iters left: 5 (7 enodes) 47.765 * * [simplify]: iters left: 4 (32 enodes) 47.774 * * [simplify]: iters left: 3 (57 enodes) 47.786 * * [simplify]: iters left: 2 (88 enodes) 47.802 * * [simplify]: iters left: 1 (156 enodes) 47.847 * * [simplify]: Extracting #0: cost 1 inf + 0 47.847 * * [simplify]: Extracting #1: cost 13 inf + 0 47.847 * * [simplify]: Extracting #2: cost 49 inf + 2 47.848 * * [simplify]: Extracting #3: cost 80 inf + 6 47.849 * * [simplify]: Extracting #4: cost 58 inf + 1840 47.852 * * [simplify]: Extracting #5: cost 22 inf + 9206 47.858 * * [simplify]: Extracting #6: cost 1 inf + 20886 47.864 * * [simplify]: Extracting #7: cost 0 inf + 21301 47.870 * * [simplify]: Extracting #8: cost 0 inf + 21130 47.876 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 47.876 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 47.876 * * * * [progress]: [ 147 / 188 ] simplifiying candidate # 47.876 * [simplify]: Simplifying (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 47.876 * * [simplify]: iters left: 6 (11 enodes) 47.883 * * [simplify]: iters left: 5 (48 enodes) 47.902 * * [simplify]: iters left: 4 (77 enodes) 47.927 * * [simplify]: iters left: 3 (118 enodes) 47.969 * * [simplify]: iters left: 2 (206 enodes) 48.047 * * [simplify]: iters left: 1 (370 enodes) 48.187 * * [simplify]: Extracting #0: cost 1 inf + 0 48.187 * * [simplify]: Extracting #1: cost 3 inf + 0 48.187 * * [simplify]: Extracting #2: cost 27 inf + 0 48.187 * * [simplify]: Extracting #3: cost 102 inf + 1 48.188 * * [simplify]: Extracting #4: cost 162 inf + 134 48.189 * * [simplify]: Extracting #5: cost 156 inf + 519 48.191 * * [simplify]: Extracting #6: cost 94 inf + 9125 48.198 * * [simplify]: Extracting #7: cost 36 inf + 32718 48.218 * * [simplify]: Extracting #8: cost 2 inf + 60006 48.235 * * [simplify]: Extracting #9: cost 0 inf + 59623 48.246 * [simplify]: Simplified to (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) 48.246 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))))) 48.246 * * * * [progress]: [ 148 / 188 ] simplifiying candidate # 48.246 * [simplify]: Simplifying (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 48.247 * * [simplify]: iters left: 6 (11 enodes) 48.250 * * [simplify]: iters left: 5 (48 enodes) 48.259 * * [simplify]: iters left: 4 (78 enodes) 48.285 * * [simplify]: iters left: 3 (119 enodes) 48.307 * * [simplify]: iters left: 2 (210 enodes) 48.375 * * [simplify]: iters left: 1 (383 enodes) 48.515 * * [simplify]: Extracting #0: cost 1 inf + 0 48.515 * * [simplify]: Extracting #1: cost 4 inf + 0 48.515 * * [simplify]: Extracting #2: cost 28 inf + 0 48.515 * * [simplify]: Extracting #3: cost 110 inf + 1 48.516 * * [simplify]: Extracting #4: cost 152 inf + 178 48.517 * * [simplify]: Extracting #5: cost 142 inf + 935 48.519 * * [simplify]: Extracting #6: cost 87 inf + 7703 48.528 * * [simplify]: Extracting #7: cost 23 inf + 38047 48.537 * * [simplify]: Extracting #8: cost 1 inf + 56893 48.546 * * [simplify]: Extracting #9: cost 0 inf + 58062 48.555 * [simplify]: Simplified to (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 48.555 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 48.555 * * * * [progress]: [ 149 / 188 ] simplifiying candidate # 48.555 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ (- 1 k) 2)) 48.555 * * [simplify]: iters left: 5 (10 enodes) 48.558 * * [simplify]: iters left: 4 (45 enodes) 48.567 * * [simplify]: iters left: 3 (78 enodes) 48.582 * * [simplify]: iters left: 2 (118 enodes) 48.620 * * [simplify]: iters left: 1 (191 enodes) 48.673 * * [simplify]: Extracting #0: cost 1 inf + 0 48.673 * * [simplify]: Extracting #1: cost 13 inf + 0 48.673 * * [simplify]: Extracting #2: cost 59 inf + 1 48.673 * * [simplify]: Extracting #3: cost 91 inf + 7 48.674 * * [simplify]: Extracting #4: cost 83 inf + 556 48.675 * * [simplify]: Extracting #5: cost 33 inf + 11764 48.679 * * [simplify]: Extracting #6: cost 0 inf + 23469 48.684 * * [simplify]: Extracting #7: cost 0 inf + 23146 48.691 * [simplify]: Simplified to (pow (* (* 2 PI) n) (/ (- 1 k) 2)) 48.691 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) 1) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 48.691 * * * * [progress]: [ 150 / 188 ] simplifiying candidate # 48.692 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) 48.692 * * [simplify]: iters left: 6 (11 enodes) 48.699 * * [simplify]: iters left: 5 (51 enodes) 48.717 * * [simplify]: iters left: 4 (87 enodes) 48.748 * * [simplify]: iters left: 3 (143 enodes) 48.799 * * [simplify]: iters left: 2 (259 enodes) 48.852 * * [simplify]: iters left: 1 (469 enodes) 49.069 * * [simplify]: Extracting #0: cost 1 inf + 0 49.069 * * [simplify]: Extracting #1: cost 23 inf + 0 49.070 * * [simplify]: Extracting #2: cost 109 inf + 1 49.071 * * [simplify]: Extracting #3: cost 194 inf + 137 49.073 * * [simplify]: Extracting #4: cost 176 inf + 2344 49.081 * * [simplify]: Extracting #5: cost 80 inf + 17283 49.099 * * [simplify]: Extracting #6: cost 12 inf + 52046 49.120 * * [simplify]: Extracting #7: cost 0 inf + 61992 49.142 * [simplify]: Simplified to (pow (* (* 2 PI) n) (* 1/4 (- 1 k))) 49.142 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (* (* 2 PI) n) (* 1/4 (- 1 k))))) 49.142 * * * * [progress]: [ 151 / 188 ] simplifiying candidate # 49.143 * [simplify]: Simplifying (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) 49.143 * * [simplify]: iters left: 6 (6 enodes) 49.146 * * [simplify]: iters left: 5 (20 enodes) 49.151 * * [simplify]: iters left: 4 (22 enodes) 49.157 * * [simplify]: Extracting #0: cost 1 inf + 0 49.157 * * [simplify]: Extracting #1: cost 3 inf + 0 49.157 * * [simplify]: Extracting #2: cost 5 inf + 0 49.157 * * [simplify]: Extracting #3: cost 8 inf + 0 49.157 * * [simplify]: Extracting #4: cost 9 inf + 1 49.157 * * [simplify]: Extracting #5: cost 8 inf + 2 49.157 * * [simplify]: Extracting #6: cost 1 inf + 774 49.158 * * [simplify]: Extracting #7: cost 0 inf + 976 49.158 * [simplify]: Simplified to (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) 49.158 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (* (cbrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 49.158 * * * * [progress]: [ 152 / 188 ] simplifiying candidate # 49.158 * [simplify]: Simplifying (sqrt (/ 1 (sqrt k))) 49.158 * * [simplify]: iters left: 4 (5 enodes) 49.159 * * [simplify]: iters left: 3 (17 enodes) 49.162 * * [simplify]: iters left: 2 (19 enodes) 49.165 * * [simplify]: Extracting #0: cost 1 inf + 0 49.165 * * [simplify]: Extracting #1: cost 3 inf + 0 49.165 * * [simplify]: Extracting #2: cost 6 inf + 0 49.165 * * [simplify]: Extracting #3: cost 7 inf + 1 49.165 * * [simplify]: Extracting #4: cost 0 inf + 492 49.165 * [simplify]: Simplified to (sqrt (/ 1 (sqrt k))) 49.165 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 49.165 * * * * [progress]: [ 153 / 188 ] simplifiying candidate # 49.165 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 49.165 * * [simplify]: iters left: 6 (8 enodes) 49.168 * * [simplify]: iters left: 5 (32 enodes) 49.174 * * [simplify]: iters left: 4 (48 enodes) 49.182 * * [simplify]: iters left: 3 (76 enodes) 49.202 * * [simplify]: iters left: 2 (81 enodes) 49.214 * * [simplify]: Extracting #0: cost 1 inf + 0 49.214 * * [simplify]: Extracting #1: cost 6 inf + 0 49.214 * * [simplify]: Extracting #2: cost 9 inf + 1 49.215 * * [simplify]: Extracting #3: cost 11 inf + 1 49.215 * * [simplify]: Extracting #4: cost 2 inf + 1052 49.215 * * [simplify]: Extracting #5: cost 0 inf + 1376 49.216 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 49.216 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ (cbrt 1) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 49.216 * * * * [progress]: [ 154 / 188 ] simplifiying candidate # 49.217 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) 49.217 * * [simplify]: iters left: 6 (8 enodes) 49.222 * * [simplify]: iters left: 5 (29 enodes) 49.231 * * [simplify]: iters left: 4 (31 enodes) 49.235 * * [simplify]: Extracting #0: cost 1 inf + 0 49.235 * * [simplify]: Extracting #1: cost 4 inf + 0 49.235 * * [simplify]: Extracting #2: cost 6 inf + 1 49.236 * * [simplify]: Extracting #3: cost 9 inf + 1 49.236 * * [simplify]: Extracting #4: cost 8 inf + 2 49.236 * * [simplify]: Extracting #5: cost 2 inf + 729 49.236 * * [simplify]: Extracting #6: cost 0 inf + 972 49.236 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 49.236 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (* (/ (cbrt 1) (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 49.236 * * * * [progress]: [ 155 / 188 ] simplifiying candidate # 49.236 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 49.236 * * [simplify]: iters left: 5 (7 enodes) 49.239 * * [simplify]: iters left: 4 (25 enodes) 49.243 * * [simplify]: iters left: 3 (27 enodes) 49.247 * * [simplify]: Extracting #0: cost 1 inf + 0 49.247 * * [simplify]: Extracting #1: cost 4 inf + 0 49.248 * * [simplify]: Extracting #2: cost 5 inf + 1 49.248 * * [simplify]: Extracting #3: cost 7 inf + 1 49.248 * * [simplify]: Extracting #4: cost 6 inf + 2 49.248 * * [simplify]: Extracting #5: cost 2 inf + 368 49.248 * * [simplify]: Extracting #6: cost 0 inf + 490 49.248 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 49.248 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ (cbrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 49.248 * * * * [progress]: [ 156 / 188 ] simplifiying candidate # 49.248 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) 49.248 * * [simplify]: iters left: 5 (5 enodes) 49.254 * * [simplify]: iters left: 4 (19 enodes) 49.258 * * [simplify]: iters left: 3 (21 enodes) 49.260 * * [simplify]: Extracting #0: cost 1 inf + 0 49.260 * * [simplify]: Extracting #1: cost 0 inf + 1 49.261 * [simplify]: Simplified to 1 49.261 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (* (/ (cbrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 49.261 * * * * [progress]: [ 157 / 188 ] simplifiying candidate # 49.261 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 49.261 * * [simplify]: iters left: 5 (7 enodes) 49.265 * * [simplify]: iters left: 4 (25 enodes) 49.273 * * [simplify]: iters left: 3 (27 enodes) 49.277 * * [simplify]: Extracting #0: cost 1 inf + 0 49.277 * * [simplify]: Extracting #1: cost 4 inf + 0 49.277 * * [simplify]: Extracting #2: cost 5 inf + 1 49.277 * * [simplify]: Extracting #3: cost 7 inf + 1 49.277 * * [simplify]: Extracting #4: cost 6 inf + 2 49.277 * * [simplify]: Extracting #5: cost 2 inf + 368 49.277 * * [simplify]: Extracting #6: cost 0 inf + 490 49.277 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 49.277 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ (cbrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 49.278 * * * * [progress]: [ 158 / 188 ] simplifiying candidate # 49.278 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) 1) 49.278 * * [simplify]: iters left: 5 (4 enodes) 49.282 * * [simplify]: iters left: 4 (14 enodes) 49.283 * * [simplify]: iters left: 3 (16 enodes) 49.285 * * [simplify]: Extracting #0: cost 1 inf + 0 49.285 * * [simplify]: Extracting #1: cost 0 inf + 1 49.285 * [simplify]: Simplified to 1 49.285 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (* (/ (cbrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 49.285 * * * * [progress]: [ 159 / 188 ] simplifiying candidate # 49.286 * [simplify]: Simplifying (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 49.286 * * [simplify]: iters left: 6 (7 enodes) 49.288 * * [simplify]: iters left: 5 (25 enodes) 49.293 * * [simplify]: iters left: 4 (32 enodes) 49.297 * * [simplify]: iters left: 3 (34 enodes) 49.302 * * [simplify]: Extracting #0: cost 1 inf + 0 49.302 * * [simplify]: Extracting #1: cost 7 inf + 0 49.302 * * [simplify]: Extracting #2: cost 11 inf + 1 49.302 * * [simplify]: Extracting #3: cost 13 inf + 1 49.302 * * [simplify]: Extracting #4: cost 10 inf + 84 49.302 * * [simplify]: Extracting #5: cost 4 inf + 1014 49.302 * * [simplify]: Extracting #6: cost 1 inf + 1498 49.302 * * [simplify]: Extracting #7: cost 0 inf + 1700 49.303 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 49.303 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (* (/ (sqrt 1) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 49.303 * * * * [progress]: [ 160 / 188 ] simplifiying candidate # 49.303 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) 49.303 * * [simplify]: iters left: 6 (7 enodes) 49.305 * * [simplify]: iters left: 5 (24 enodes) 49.313 * * [simplify]: iters left: 4 (26 enodes) 49.320 * * [simplify]: Extracting #0: cost 1 inf + 0 49.320 * * [simplify]: Extracting #1: cost 4 inf + 0 49.320 * * [simplify]: Extracting #2: cost 6 inf + 1 49.320 * * [simplify]: Extracting #3: cost 9 inf + 1 49.320 * * [simplify]: Extracting #4: cost 8 inf + 2 49.320 * * [simplify]: Extracting #5: cost 2 inf + 730 49.321 * * [simplify]: Extracting #6: cost 0 inf + 972 49.321 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 49.321 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (* (/ (sqrt 1) (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 49.321 * * * * [progress]: [ 161 / 188 ] simplifiying candidate # 49.321 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 49.321 * * [simplify]: iters left: 4 (6 enodes) 49.325 * * [simplify]: iters left: 3 (20 enodes) 49.328 * * [simplify]: iters left: 2 (22 enodes) 49.331 * * [simplify]: Extracting #0: cost 1 inf + 0 49.332 * * [simplify]: Extracting #1: cost 4 inf + 0 49.332 * * [simplify]: Extracting #2: cost 5 inf + 1 49.332 * * [simplify]: Extracting #3: cost 7 inf + 1 49.332 * * [simplify]: Extracting #4: cost 1 inf + 368 49.332 * * [simplify]: Extracting #5: cost 0 inf + 490 49.332 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 49.332 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 49.332 * * * * [progress]: [ 162 / 188 ] simplifiying candidate # 49.332 * [simplify]: Simplifying (/ (sqrt 1) (sqrt 1)) 49.332 * * [simplify]: iters left: 3 (3 enodes) 49.334 * * [simplify]: iters left: 2 (9 enodes) 49.336 * * [simplify]: iters left: 1 (11 enodes) 49.337 * * [simplify]: Extracting #0: cost 1 inf + 0 49.337 * * [simplify]: Extracting #1: cost 0 inf + 1 49.337 * [simplify]: Simplified to 1 49.337 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (* (/ (sqrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 49.337 * * * * [progress]: [ 163 / 188 ] simplifiying candidate # 49.337 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 49.337 * * [simplify]: iters left: 4 (6 enodes) 49.339 * * [simplify]: iters left: 3 (20 enodes) 49.342 * * [simplify]: iters left: 2 (22 enodes) 49.346 * * [simplify]: Extracting #0: cost 1 inf + 0 49.346 * * [simplify]: Extracting #1: cost 4 inf + 0 49.346 * * [simplify]: Extracting #2: cost 5 inf + 1 49.346 * * [simplify]: Extracting #3: cost 7 inf + 1 49.346 * * [simplify]: Extracting #4: cost 1 inf + 368 49.346 * * [simplify]: Extracting #5: cost 0 inf + 490 49.346 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 49.346 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 49.346 * * * * [progress]: [ 164 / 188 ] simplifiying candidate # 49.346 * [simplify]: Simplifying (/ (sqrt 1) 1) 49.346 * * [simplify]: iters left: 3 (3 enodes) 49.348 * * [simplify]: iters left: 2 (9 enodes) 49.350 * * [simplify]: iters left: 1 (11 enodes) 49.353 * * [simplify]: Extracting #0: cost 1 inf + 0 49.353 * * [simplify]: Extracting #1: cost 0 inf + 1 49.353 * [simplify]: Simplified to 1 49.353 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (* (/ (sqrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 49.353 * * * * [progress]: [ 165 / 188 ] simplifiying candidate # 49.354 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 49.354 * * [simplify]: iters left: 6 (6 enodes) 49.357 * * [simplify]: iters left: 5 (22 enodes) 49.364 * * [simplify]: iters left: 4 (26 enodes) 49.374 * * [simplify]: Extracting #0: cost 1 inf + 0 49.375 * * [simplify]: Extracting #1: cost 6 inf + 0 49.375 * * [simplify]: Extracting #2: cost 9 inf + 1 49.375 * * [simplify]: Extracting #3: cost 11 inf + 1 49.375 * * [simplify]: Extracting #4: cost 8 inf + 84 49.375 * * [simplify]: Extracting #5: cost 2 inf + 1013 49.376 * * [simplify]: Extracting #6: cost 0 inf + 1376 49.376 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 49.376 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ 1 (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 49.377 * * * * [progress]: [ 166 / 188 ] simplifiying candidate # 49.377 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt k) (cbrt k)))) 49.377 * * [simplify]: iters left: 6 (6 enodes) 49.380 * * [simplify]: iters left: 5 (21 enodes) 49.384 * * [simplify]: iters left: 4 (23 enodes) 49.387 * * [simplify]: Extracting #0: cost 1 inf + 0 49.387 * * [simplify]: Extracting #1: cost 4 inf + 0 49.388 * * [simplify]: Extracting #2: cost 6 inf + 1 49.388 * * [simplify]: Extracting #3: cost 9 inf + 1 49.388 * * [simplify]: Extracting #4: cost 8 inf + 2 49.388 * * [simplify]: Extracting #5: cost 1 inf + 810 49.388 * * [simplify]: Extracting #6: cost 0 inf + 972 49.388 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 49.388 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (* (/ 1 (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 49.388 * * * * [progress]: [ 167 / 188 ] simplifiying candidate # 49.388 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 49.388 * * [simplify]: iters left: 4 (5 enodes) 49.390 * * [simplify]: iters left: 3 (17 enodes) 49.393 * * [simplify]: iters left: 2 (19 enodes) 49.396 * * [simplify]: Extracting #0: cost 1 inf + 0 49.396 * * [simplify]: Extracting #1: cost 4 inf + 0 49.396 * * [simplify]: Extracting #2: cost 5 inf + 1 49.396 * * [simplify]: Extracting #3: cost 7 inf + 1 49.396 * * [simplify]: Extracting #4: cost 0 inf + 490 49.396 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 49.396 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 49.396 * * * * [progress]: [ 168 / 188 ] simplifiying candidate # 49.396 * [simplify]: Simplifying (/ 1 (sqrt 1)) 49.396 * * [simplify]: iters left: 3 (3 enodes) 49.400 * * [simplify]: iters left: 2 (11 enodes) 49.402 * * [simplify]: iters left: 1 (13 enodes) 49.404 * * [simplify]: Extracting #0: cost 1 inf + 0 49.404 * * [simplify]: Extracting #1: cost 0 inf + 1 49.404 * [simplify]: Simplified to 1 49.404 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 49.404 * * * * [progress]: [ 169 / 188 ] simplifiying candidate # 49.404 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 49.404 * * [simplify]: iters left: 4 (5 enodes) 49.406 * * [simplify]: iters left: 3 (17 enodes) 49.408 * * [simplify]: iters left: 2 (19 enodes) 49.411 * * [simplify]: Extracting #0: cost 1 inf + 0 49.411 * * [simplify]: Extracting #1: cost 4 inf + 0 49.411 * * [simplify]: Extracting #2: cost 5 inf + 1 49.412 * * [simplify]: Extracting #3: cost 7 inf + 1 49.412 * * [simplify]: Extracting #4: cost 0 inf + 490 49.412 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 49.412 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 49.412 * * * * [progress]: [ 170 / 188 ] simplifiying candidate # 49.412 * [simplify]: Simplifying (/ 1 1) 49.412 * * [simplify]: iters left: 2 (2 enodes) 49.413 * * [simplify]: iters left: 1 (6 enodes) 49.415 * * [simplify]: Extracting #0: cost 1 inf + 0 49.415 * * [simplify]: Extracting #1: cost 0 inf + 1 49.415 * [simplify]: Simplified to 1 49.415 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 49.415 * * * * [progress]: [ 171 / 188 ] simplifiying candidate # 49.415 * * * * [progress]: [ 172 / 188 ] simplifiying candidate # 49.415 * * * * [progress]: [ 173 / 188 ] simplifiying candidate # 49.415 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ k 2)) 49.415 * * [simplify]: iters left: 5 (8 enodes) 49.419 * * [simplify]: iters left: 4 (31 enodes) 49.430 * * [simplify]: iters left: 3 (51 enodes) 49.438 * * [simplify]: iters left: 2 (85 enodes) 49.453 * * [simplify]: iters left: 1 (152 enodes) 49.509 * * [simplify]: Extracting #0: cost 1 inf + 0 49.509 * * [simplify]: Extracting #1: cost 13 inf + 0 49.510 * * [simplify]: Extracting #2: cost 60 inf + 1 49.510 * * [simplify]: Extracting #3: cost 76 inf + 51 49.511 * * [simplify]: Extracting #4: cost 44 inf + 2846 49.514 * * [simplify]: Extracting #5: cost 21 inf + 7590 49.519 * * [simplify]: Extracting #6: cost 1 inf + 20687 49.525 * * [simplify]: Extracting #7: cost 0 inf + 20539 49.531 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 49.531 * [simplify]: Simplified (2 2) to (λ (k n) (/ (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ 1 2))) (pow (* (* n 2) PI) (/ k 2)))) 49.531 * * * * [progress]: [ 174 / 188 ] simplifiying candidate # 49.531 * [simplify]: Simplifying (* 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 49.531 * * [simplify]: iters left: 6 (11 enodes) 49.538 * * [simplify]: iters left: 5 (47 enodes) 49.554 * * [simplify]: iters left: 4 (82 enodes) 49.582 * * [simplify]: iters left: 3 (126 enodes) 49.623 * * [simplify]: iters left: 2 (214 enodes) 49.673 * * [simplify]: iters left: 1 (360 enodes) 49.784 * * [simplify]: Extracting #0: cost 1 inf + 0 49.784 * * [simplify]: Extracting #1: cost 19 inf + 0 49.784 * * [simplify]: Extracting #2: cost 84 inf + 2 49.785 * * [simplify]: Extracting #3: cost 140 inf + 50 49.787 * * [simplify]: Extracting #4: cost 152 inf + 350 49.789 * * [simplify]: Extracting #5: cost 121 inf + 2516 49.794 * * [simplify]: Extracting #6: cost 59 inf + 11721 49.804 * * [simplify]: Extracting #7: cost 15 inf + 36647 49.820 * * [simplify]: Extracting #8: cost 0 inf + 48718 49.837 * * [simplify]: Extracting #9: cost 0 inf + 48296 49.845 * [simplify]: Simplified to (pow (* (* n PI) 2) (/ (- 1 k) 2)) 49.846 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (* (* n PI) 2) (/ (- 1 k) 2)) (sqrt k))) 49.846 * * * * [progress]: [ 175 / 188 ] simplifiying candidate #real (real->posit16 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))> 49.846 * * * * [progress]: [ 176 / 188 ] simplifiying candidate # 49.846 * * * * [progress]: [ 177 / 188 ] simplifiying candidate # 49.846 * [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))))) 49.846 * * [simplify]: iters left: 6 (37 enodes) 49.857 * * [simplify]: iters left: 5 (187 enodes) 49.921 * * [simplify]: iters left: 4 (488 enodes) 50.148 * * [simplify]: Extracting #0: cost 1 inf + 0 50.148 * * [simplify]: Extracting #1: cost 57 inf + 0 50.150 * * [simplify]: Extracting #2: cost 294 inf + 0 50.153 * * [simplify]: Extracting #3: cost 524 inf + 199 50.158 * * [simplify]: Extracting #4: cost 512 inf + 6095 50.182 * * [simplify]: Extracting #5: cost 310 inf + 78036 50.250 * * [simplify]: Extracting #6: cost 40 inf + 220622 50.330 * * [simplify]: Extracting #7: cost 0 inf + 244981 50.432 * * [simplify]: Extracting #8: cost 0 inf + 243455 50.491 * * [simplify]: Extracting #9: cost 0 inf + 243454 50.552 * [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)))))))) 50.552 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (+ (* (* (* k k) 1/8) (+ (* (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (log (* PI 2))) (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) (+ (exp (* (+ (log n) (log (* PI 2))) 1/2)) (- (* (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (* k k) (* (log n) 1/4))) (* (* 1/2 k) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (+ (log n) (log (* PI 2)))))))))) 50.552 * * * * [progress]: [ 178 / 188 ] simplifiying candidate # 50.553 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 50.553 * * [simplify]: iters left: 6 (15 enodes) 50.562 * * [simplify]: iters left: 5 (65 enodes) 50.582 * * [simplify]: iters left: 4 (123 enodes) 50.618 * * [simplify]: iters left: 3 (361 enodes) 50.796 * * [simplify]: Extracting #0: cost 1 inf + 0 50.796 * * [simplify]: Extracting #1: cost 37 inf + 0 50.797 * * [simplify]: Extracting #2: cost 213 inf + 72 50.798 * * [simplify]: Extracting #3: cost 350 inf + 1716 50.802 * * [simplify]: Extracting #4: cost 221 inf + 30028 50.817 * * [simplify]: Extracting #5: cost 33 inf + 78046 50.844 * * [simplify]: Extracting #6: cost 1 inf + 88785 50.876 * * [simplify]: Extracting #7: cost 0 inf + 88926 50.906 * * [simplify]: Extracting #8: cost 0 inf + 88841 50.935 * [simplify]: Simplified to (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) 50.935 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))))) 50.936 * * * * [progress]: [ 179 / 188 ] simplifiying candidate # 50.936 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 50.936 * * [simplify]: iters left: 6 (16 enodes) 50.942 * * [simplify]: iters left: 5 (67 enodes) 50.955 * * [simplify]: iters left: 4 (134 enodes) 51.008 * * [simplify]: iters left: 3 (407 enodes) 51.184 * * [simplify]: Extracting #0: cost 1 inf + 0 51.184 * * [simplify]: Extracting #1: cost 39 inf + 0 51.185 * * [simplify]: Extracting #2: cost 241 inf + 72 51.189 * * [simplify]: Extracting #3: cost 449 inf + 888 51.197 * * [simplify]: Extracting #4: cost 283 inf + 39678 51.218 * * [simplify]: Extracting #5: cost 24 inf + 116942 51.246 * * [simplify]: Extracting #6: cost 0 inf + 121984 51.289 * * [simplify]: Extracting #7: cost 0 inf + 121983 51.319 * [simplify]: Simplified to (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) 51.319 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))))) 51.319 * * * * [progress]: [ 180 / 188 ] simplifiying candidate # 51.320 * [simplify]: Simplifying (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 51.320 * [simplify]: Simplified (2 1) to (λ (k n) (* +nan.0 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 51.320 * * * * [progress]: [ 181 / 188 ] simplifiying candidate # 51.320 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 51.320 * [simplify]: Simplified (2 1) to (λ (k n) (* +nan.0 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 51.320 * * * * [progress]: [ 182 / 188 ] simplifiying candidate # 51.320 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 51.320 * [simplify]: Simplified (2 1) to (λ (k n) (* +nan.0 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 51.320 * * * * [progress]: [ 183 / 188 ] simplifiying candidate # 51.321 * [simplify]: Simplifying (* 2 (* n PI)) 51.321 * * [simplify]: iters left: 4 (5 enodes) 51.323 * * [simplify]: iters left: 3 (19 enodes) 51.327 * * [simplify]: iters left: 2 (27 enodes) 51.331 * * [simplify]: iters left: 1 (32 enodes) 51.337 * * [simplify]: Extracting #0: cost 1 inf + 0 51.337 * * [simplify]: Extracting #1: cost 8 inf + 0 51.337 * * [simplify]: Extracting #2: cost 7 inf + 45 51.337 * * [simplify]: Extracting #3: cost 0 inf + 421 51.338 * [simplify]: Simplified to (* (* PI n) 2) 51.338 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))) 51.338 * * * * [progress]: [ 184 / 188 ] simplifiying candidate # 51.338 * [simplify]: Simplifying (* 2 (* n PI)) 51.339 * * [simplify]: iters left: 4 (5 enodes) 51.341 * * [simplify]: iters left: 3 (19 enodes) 51.347 * * [simplify]: iters left: 2 (27 enodes) 51.356 * * [simplify]: iters left: 1 (32 enodes) 51.364 * * [simplify]: Extracting #0: cost 1 inf + 0 51.364 * * [simplify]: Extracting #1: cost 8 inf + 0 51.364 * * [simplify]: Extracting #2: cost 7 inf + 45 51.364 * * [simplify]: Extracting #3: cost 0 inf + 421 51.364 * [simplify]: Simplified to (* (* PI n) 2) 51.365 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))) 51.365 * * * * [progress]: [ 185 / 188 ] simplifiying candidate # 51.365 * [simplify]: Simplifying (* 2 (* n PI)) 51.365 * * [simplify]: iters left: 4 (5 enodes) 51.368 * * [simplify]: iters left: 3 (19 enodes) 51.374 * * [simplify]: iters left: 2 (27 enodes) 51.383 * * [simplify]: iters left: 1 (32 enodes) 51.392 * * [simplify]: Extracting #0: cost 1 inf + 0 51.392 * * [simplify]: Extracting #1: cost 8 inf + 0 51.392 * * [simplify]: Extracting #2: cost 7 inf + 45 51.392 * * [simplify]: Extracting #3: cost 0 inf + 421 51.392 * [simplify]: Simplified to (* (* PI n) 2) 51.393 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))) 51.393 * * * * [progress]: [ 186 / 188 ] simplifiying candidate # 51.393 * [simplify]: Simplifying (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))) 51.393 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 51.393 * * * * [progress]: [ 187 / 188 ] simplifiying candidate # 51.394 * [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)))))))) 51.394 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 51.394 * * * * [progress]: [ 188 / 188 ] simplifiying candidate # 51.394 * [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)))))))))))) 51.394 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 51.395 * * * [progress]: adding candidates to table 53.543 * * [progress]: iteration 3 / 4 53.543 * * * [progress]: picking best candidate 53.562 * * * * [pick]: Picked # 53.562 * * * [progress]: localizing error 53.590 * * * [progress]: generating rewritten candidates 53.590 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 53.608 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 53.624 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1) 53.637 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 53.655 * * * [progress]: generating series expansions 53.655 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 53.655 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) into (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) 53.655 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in (n k) around 0 53.656 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in k 53.656 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in k 53.656 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in k 53.656 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in k 53.656 * [taylor]: Taking taylor expansion of 1/4 in k 53.656 * [backup-simplify]: Simplify 1/4 into 1/4 53.656 * [taylor]: Taking taylor expansion of (- 1 k) in k 53.656 * [taylor]: Taking taylor expansion of 1 in k 53.656 * [backup-simplify]: Simplify 1 into 1 53.656 * [taylor]: Taking taylor expansion of k in k 53.656 * [backup-simplify]: Simplify 0 into 0 53.656 * [backup-simplify]: Simplify 1 into 1 53.656 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 53.656 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 53.656 * [taylor]: Taking taylor expansion of 2 in k 53.656 * [backup-simplify]: Simplify 2 into 2 53.656 * [taylor]: Taking taylor expansion of (* n PI) in k 53.656 * [taylor]: Taking taylor expansion of n in k 53.656 * [backup-simplify]: Simplify n into n 53.656 * [taylor]: Taking taylor expansion of PI in k 53.656 * [backup-simplify]: Simplify PI into PI 53.656 * [backup-simplify]: Simplify (* n PI) into (* n PI) 53.656 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 53.656 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 53.656 * [backup-simplify]: Simplify (- 0) into 0 53.656 * [backup-simplify]: Simplify (+ 1 0) into 1 53.657 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 53.657 * [backup-simplify]: Simplify (* 1/4 (log (* 2 (* n PI)))) into (* 1/4 (log (* 2 (* n PI)))) 53.657 * [backup-simplify]: Simplify (exp (* 1/4 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/4) 53.657 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n 53.657 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n 53.657 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n 53.657 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n 53.657 * [taylor]: Taking taylor expansion of 1/4 in n 53.657 * [backup-simplify]: Simplify 1/4 into 1/4 53.657 * [taylor]: Taking taylor expansion of (- 1 k) in n 53.657 * [taylor]: Taking taylor expansion of 1 in n 53.657 * [backup-simplify]: Simplify 1 into 1 53.657 * [taylor]: Taking taylor expansion of k in n 53.657 * [backup-simplify]: Simplify k into k 53.657 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 53.657 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 53.657 * [taylor]: Taking taylor expansion of 2 in n 53.657 * [backup-simplify]: Simplify 2 into 2 53.657 * [taylor]: Taking taylor expansion of (* n PI) in n 53.657 * [taylor]: Taking taylor expansion of n in n 53.657 * [backup-simplify]: Simplify 0 into 0 53.657 * [backup-simplify]: Simplify 1 into 1 53.657 * [taylor]: Taking taylor expansion of PI in n 53.657 * [backup-simplify]: Simplify PI into PI 53.658 * [backup-simplify]: Simplify (* 0 PI) into 0 53.658 * [backup-simplify]: Simplify (* 2 0) into 0 53.659 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 53.660 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 53.660 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 53.660 * [backup-simplify]: Simplify (- k) into (- k) 53.660 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 53.660 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k)) 53.662 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 53.663 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 53.664 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 53.664 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n 53.664 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n 53.664 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n 53.664 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n 53.664 * [taylor]: Taking taylor expansion of 1/4 in n 53.664 * [backup-simplify]: Simplify 1/4 into 1/4 53.664 * [taylor]: Taking taylor expansion of (- 1 k) in n 53.664 * [taylor]: Taking taylor expansion of 1 in n 53.664 * [backup-simplify]: Simplify 1 into 1 53.664 * [taylor]: Taking taylor expansion of k in n 53.664 * [backup-simplify]: Simplify k into k 53.664 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 53.664 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 53.664 * [taylor]: Taking taylor expansion of 2 in n 53.664 * [backup-simplify]: Simplify 2 into 2 53.664 * [taylor]: Taking taylor expansion of (* n PI) in n 53.664 * [taylor]: Taking taylor expansion of n in n 53.664 * [backup-simplify]: Simplify 0 into 0 53.664 * [backup-simplify]: Simplify 1 into 1 53.664 * [taylor]: Taking taylor expansion of PI in n 53.664 * [backup-simplify]: Simplify PI into PI 53.665 * [backup-simplify]: Simplify (* 0 PI) into 0 53.665 * [backup-simplify]: Simplify (* 2 0) into 0 53.667 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 53.668 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 53.674 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 53.674 * [backup-simplify]: Simplify (- k) into (- k) 53.674 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 53.674 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k)) 53.676 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 53.677 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 53.678 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 53.678 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 53.678 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 53.678 * [taylor]: Taking taylor expansion of 1/4 in k 53.678 * [backup-simplify]: Simplify 1/4 into 1/4 53.678 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 53.678 * [taylor]: Taking taylor expansion of (- 1 k) in k 53.678 * [taylor]: Taking taylor expansion of 1 in k 53.678 * [backup-simplify]: Simplify 1 into 1 53.678 * [taylor]: Taking taylor expansion of k in k 53.678 * [backup-simplify]: Simplify 0 into 0 53.678 * [backup-simplify]: Simplify 1 into 1 53.678 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 53.678 * [taylor]: Taking taylor expansion of (log n) in k 53.678 * [taylor]: Taking taylor expansion of n in k 53.678 * [backup-simplify]: Simplify n into n 53.678 * [backup-simplify]: Simplify (log n) into (log n) 53.678 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 53.678 * [taylor]: Taking taylor expansion of (* 2 PI) in k 53.678 * [taylor]: Taking taylor expansion of 2 in k 53.678 * [backup-simplify]: Simplify 2 into 2 53.678 * [taylor]: Taking taylor expansion of PI in k 53.678 * [backup-simplify]: Simplify PI into PI 53.679 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 53.680 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 53.680 * [backup-simplify]: Simplify (- 0) into 0 53.681 * [backup-simplify]: Simplify (+ 1 0) into 1 53.681 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 53.682 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 53.683 * [backup-simplify]: Simplify (* 1/4 (+ (log n) (log (* 2 PI)))) into (* 1/4 (+ (log n) (log (* 2 PI)))) 53.684 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 53.685 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 53.686 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 53.687 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 53.689 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 53.690 * [backup-simplify]: Simplify (- 0) into 0 53.690 * [backup-simplify]: Simplify (+ 0 0) into 0 53.691 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 k))) into 0 53.692 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 53.693 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 53.695 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 53.695 * [taylor]: Taking taylor expansion of 0 in k 53.695 * [backup-simplify]: Simplify 0 into 0 53.695 * [backup-simplify]: Simplify 0 into 0 53.696 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 53.696 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 53.698 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 53.698 * [backup-simplify]: Simplify (+ 0 0) into 0 53.699 * [backup-simplify]: Simplify (- 1) into -1 53.699 * [backup-simplify]: Simplify (+ 0 -1) into -1 53.701 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 53.702 * [backup-simplify]: Simplify (+ (* 1/4 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 53.705 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) 53.708 * [backup-simplify]: Simplify (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) into (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) 53.709 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 53.710 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 53.714 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 53.715 * [backup-simplify]: Simplify (- 0) into 0 53.715 * [backup-simplify]: Simplify (+ 0 0) into 0 53.716 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 53.717 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 53.718 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 53.721 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 53.721 * [taylor]: Taking taylor expansion of 0 in k 53.721 * [backup-simplify]: Simplify 0 into 0 53.721 * [backup-simplify]: Simplify 0 into 0 53.721 * [backup-simplify]: Simplify 0 into 0 53.723 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 53.724 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 53.727 * [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 53.727 * [backup-simplify]: Simplify (+ 0 0) into 0 53.728 * [backup-simplify]: Simplify (- 0) into 0 53.728 * [backup-simplify]: Simplify (+ 0 0) into 0 53.730 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 53.732 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 53.736 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) 53.739 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) into (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) 53.744 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) (* k 1)) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) into (- (+ (* 1/16 (* (log (* 2 PI)) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/32 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/4 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/4 (* k (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI))))))) 53.745 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (/ (- 1 (/ 1 k)) 2) 2)) into (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) 53.745 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in (n k) around 0 53.745 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in k 53.745 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 53.745 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 53.745 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in k 53.745 * [taylor]: Taking taylor expansion of 1/4 in k 53.745 * [backup-simplify]: Simplify 1/4 into 1/4 53.745 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 53.745 * [taylor]: Taking taylor expansion of 1 in k 53.745 * [backup-simplify]: Simplify 1 into 1 53.745 * [taylor]: Taking taylor expansion of (/ 1 k) in k 53.745 * [taylor]: Taking taylor expansion of k in k 53.745 * [backup-simplify]: Simplify 0 into 0 53.745 * [backup-simplify]: Simplify 1 into 1 53.745 * [backup-simplify]: Simplify (/ 1 1) into 1 53.745 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 53.745 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 53.745 * [taylor]: Taking taylor expansion of 2 in k 53.745 * [backup-simplify]: Simplify 2 into 2 53.746 * [taylor]: Taking taylor expansion of (/ PI n) in k 53.746 * [taylor]: Taking taylor expansion of PI in k 53.746 * [backup-simplify]: Simplify PI into PI 53.746 * [taylor]: Taking taylor expansion of n in k 53.746 * [backup-simplify]: Simplify n into n 53.746 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 53.746 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 53.746 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 53.746 * [backup-simplify]: Simplify (- 1) into -1 53.746 * [backup-simplify]: Simplify (+ 0 -1) into -1 53.746 * [backup-simplify]: Simplify (* 1/4 -1) into -1/4 53.747 * [backup-simplify]: Simplify (* -1/4 (log (* 2 (/ PI n)))) into (* -1/4 (log (* 2 (/ PI n)))) 53.747 * [backup-simplify]: Simplify (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 53.747 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n 53.747 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 53.747 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 53.747 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n 53.747 * [taylor]: Taking taylor expansion of 1/4 in n 53.747 * [backup-simplify]: Simplify 1/4 into 1/4 53.747 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 53.747 * [taylor]: Taking taylor expansion of 1 in n 53.747 * [backup-simplify]: Simplify 1 into 1 53.747 * [taylor]: Taking taylor expansion of (/ 1 k) in n 53.747 * [taylor]: Taking taylor expansion of k in n 53.747 * [backup-simplify]: Simplify k into k 53.747 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 53.747 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 53.747 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 53.747 * [taylor]: Taking taylor expansion of 2 in n 53.747 * [backup-simplify]: Simplify 2 into 2 53.747 * [taylor]: Taking taylor expansion of (/ PI n) in n 53.747 * [taylor]: Taking taylor expansion of PI in n 53.747 * [backup-simplify]: Simplify PI into PI 53.747 * [taylor]: Taking taylor expansion of n in n 53.747 * [backup-simplify]: Simplify 0 into 0 53.747 * [backup-simplify]: Simplify 1 into 1 53.747 * [backup-simplify]: Simplify (/ PI 1) into PI 53.748 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 53.748 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 53.748 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 53.748 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 53.748 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k))) 53.749 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 53.750 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 53.751 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 53.751 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n 53.751 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 53.751 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 53.751 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n 53.751 * [taylor]: Taking taylor expansion of 1/4 in n 53.751 * [backup-simplify]: Simplify 1/4 into 1/4 53.751 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 53.751 * [taylor]: Taking taylor expansion of 1 in n 53.751 * [backup-simplify]: Simplify 1 into 1 53.751 * [taylor]: Taking taylor expansion of (/ 1 k) in n 53.751 * [taylor]: Taking taylor expansion of k in n 53.751 * [backup-simplify]: Simplify k into k 53.751 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 53.751 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 53.751 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 53.751 * [taylor]: Taking taylor expansion of 2 in n 53.751 * [backup-simplify]: Simplify 2 into 2 53.751 * [taylor]: Taking taylor expansion of (/ PI n) in n 53.751 * [taylor]: Taking taylor expansion of PI in n 53.751 * [backup-simplify]: Simplify PI into PI 53.751 * [taylor]: Taking taylor expansion of n in n 53.751 * [backup-simplify]: Simplify 0 into 0 53.751 * [backup-simplify]: Simplify 1 into 1 53.751 * [backup-simplify]: Simplify (/ PI 1) into PI 53.751 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 53.752 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 53.752 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 53.752 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 53.752 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k))) 53.753 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 53.754 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 53.754 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 53.754 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 53.754 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 53.754 * [taylor]: Taking taylor expansion of 1/4 in k 53.754 * [backup-simplify]: Simplify 1/4 into 1/4 53.755 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 53.755 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 53.755 * [taylor]: Taking taylor expansion of 1 in k 53.755 * [backup-simplify]: Simplify 1 into 1 53.755 * [taylor]: Taking taylor expansion of (/ 1 k) in k 53.755 * [taylor]: Taking taylor expansion of k in k 53.755 * [backup-simplify]: Simplify 0 into 0 53.755 * [backup-simplify]: Simplify 1 into 1 53.755 * [backup-simplify]: Simplify (/ 1 1) into 1 53.755 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 53.755 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 53.755 * [taylor]: Taking taylor expansion of (* 2 PI) in k 53.755 * [taylor]: Taking taylor expansion of 2 in k 53.755 * [backup-simplify]: Simplify 2 into 2 53.755 * [taylor]: Taking taylor expansion of PI in k 53.755 * [backup-simplify]: Simplify PI into PI 53.755 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 53.756 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 53.756 * [taylor]: Taking taylor expansion of (log n) in k 53.756 * [taylor]: Taking taylor expansion of n in k 53.756 * [backup-simplify]: Simplify n into n 53.756 * [backup-simplify]: Simplify (log n) into (log n) 53.756 * [backup-simplify]: Simplify (- 1) into -1 53.756 * [backup-simplify]: Simplify (+ 0 -1) into -1 53.756 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 53.757 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 53.758 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 53.758 * [backup-simplify]: Simplify (* 1/4 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/4 (- (log (* 2 PI)) (log n))) 53.759 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 53.760 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 53.760 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 53.761 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 53.762 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 53.762 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 53.762 * [backup-simplify]: Simplify (- 0) into 0 53.762 * [backup-simplify]: Simplify (+ 0 0) into 0 53.763 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 (/ 1 k)))) into 0 53.763 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 53.764 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 53.765 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 53.765 * [taylor]: Taking taylor expansion of 0 in k 53.765 * [backup-simplify]: Simplify 0 into 0 53.765 * [backup-simplify]: Simplify 0 into 0 53.765 * [backup-simplify]: Simplify 0 into 0 53.766 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 53.768 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 53.771 * [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 53.771 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 53.771 * [backup-simplify]: Simplify (- 0) into 0 53.772 * [backup-simplify]: Simplify (+ 0 0) into 0 53.773 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 53.774 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 53.776 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 53.778 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 53.778 * [taylor]: Taking taylor expansion of 0 in k 53.778 * [backup-simplify]: Simplify 0 into 0 53.778 * [backup-simplify]: Simplify 0 into 0 53.778 * [backup-simplify]: Simplify 0 into 0 53.778 * [backup-simplify]: Simplify 0 into 0 53.779 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 53.781 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 53.784 * [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 53.784 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 53.784 * [backup-simplify]: Simplify (- 0) into 0 53.785 * [backup-simplify]: Simplify (+ 0 0) into 0 53.785 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 53.786 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 53.790 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 53.791 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 53.791 * [taylor]: Taking taylor expansion of 0 in k 53.791 * [backup-simplify]: Simplify 0 into 0 53.791 * [backup-simplify]: Simplify 0 into 0 53.792 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 53.792 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (/ (- 1 (/ 1 (- k))) 2) 2)) into (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) 53.792 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in (n k) around 0 53.792 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in k 53.792 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 53.792 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 53.792 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in k 53.792 * [taylor]: Taking taylor expansion of 1/4 in k 53.792 * [backup-simplify]: Simplify 1/4 into 1/4 53.792 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 53.792 * [taylor]: Taking taylor expansion of (/ 1 k) in k 53.792 * [taylor]: Taking taylor expansion of k in k 53.792 * [backup-simplify]: Simplify 0 into 0 53.792 * [backup-simplify]: Simplify 1 into 1 53.793 * [backup-simplify]: Simplify (/ 1 1) into 1 53.793 * [taylor]: Taking taylor expansion of 1 in k 53.793 * [backup-simplify]: Simplify 1 into 1 53.793 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 53.793 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 53.793 * [taylor]: Taking taylor expansion of -2 in k 53.793 * [backup-simplify]: Simplify -2 into -2 53.793 * [taylor]: Taking taylor expansion of (/ PI n) in k 53.793 * [taylor]: Taking taylor expansion of PI in k 53.793 * [backup-simplify]: Simplify PI into PI 53.793 * [taylor]: Taking taylor expansion of n in k 53.793 * [backup-simplify]: Simplify n into n 53.793 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 53.793 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 53.793 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 53.793 * [backup-simplify]: Simplify (+ 1 0) into 1 53.794 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 53.794 * [backup-simplify]: Simplify (* 1/4 (log (* -2 (/ PI n)))) into (* 1/4 (log (* -2 (/ PI n)))) 53.794 * [backup-simplify]: Simplify (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/4 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 53.794 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n 53.794 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 53.794 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 53.794 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n 53.794 * [taylor]: Taking taylor expansion of 1/4 in n 53.794 * [backup-simplify]: Simplify 1/4 into 1/4 53.794 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 53.794 * [taylor]: Taking taylor expansion of (/ 1 k) in n 53.794 * [taylor]: Taking taylor expansion of k in n 53.794 * [backup-simplify]: Simplify k into k 53.794 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 53.794 * [taylor]: Taking taylor expansion of 1 in n 53.794 * [backup-simplify]: Simplify 1 into 1 53.794 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 53.794 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 53.794 * [taylor]: Taking taylor expansion of -2 in n 53.794 * [backup-simplify]: Simplify -2 into -2 53.794 * [taylor]: Taking taylor expansion of (/ PI n) in n 53.794 * [taylor]: Taking taylor expansion of PI in n 53.794 * [backup-simplify]: Simplify PI into PI 53.794 * [taylor]: Taking taylor expansion of n in n 53.794 * [backup-simplify]: Simplify 0 into 0 53.794 * [backup-simplify]: Simplify 1 into 1 53.794 * [backup-simplify]: Simplify (/ PI 1) into PI 53.795 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 53.795 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 53.795 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 53.795 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1)) 53.796 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 53.797 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 53.797 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 53.798 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n 53.798 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 53.798 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 53.798 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n 53.798 * [taylor]: Taking taylor expansion of 1/4 in n 53.798 * [backup-simplify]: Simplify 1/4 into 1/4 53.798 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 53.798 * [taylor]: Taking taylor expansion of (/ 1 k) in n 53.798 * [taylor]: Taking taylor expansion of k in n 53.798 * [backup-simplify]: Simplify k into k 53.798 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 53.798 * [taylor]: Taking taylor expansion of 1 in n 53.798 * [backup-simplify]: Simplify 1 into 1 53.798 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 53.798 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 53.798 * [taylor]: Taking taylor expansion of -2 in n 53.798 * [backup-simplify]: Simplify -2 into -2 53.798 * [taylor]: Taking taylor expansion of (/ PI n) in n 53.798 * [taylor]: Taking taylor expansion of PI in n 53.798 * [backup-simplify]: Simplify PI into PI 53.798 * [taylor]: Taking taylor expansion of n in n 53.798 * [backup-simplify]: Simplify 0 into 0 53.798 * [backup-simplify]: Simplify 1 into 1 53.798 * [backup-simplify]: Simplify (/ PI 1) into PI 53.798 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 53.799 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 53.799 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 53.799 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1)) 53.800 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 53.801 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 53.801 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 53.801 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 53.801 * [taylor]: Taking taylor expansion of (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 53.801 * [taylor]: Taking taylor expansion of 1/4 in k 53.801 * [backup-simplify]: Simplify 1/4 into 1/4 53.801 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 53.801 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 53.801 * [taylor]: Taking taylor expansion of (/ 1 k) in k 53.801 * [taylor]: Taking taylor expansion of k in k 53.802 * [backup-simplify]: Simplify 0 into 0 53.802 * [backup-simplify]: Simplify 1 into 1 53.802 * [backup-simplify]: Simplify (/ 1 1) into 1 53.802 * [taylor]: Taking taylor expansion of 1 in k 53.802 * [backup-simplify]: Simplify 1 into 1 53.802 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 53.802 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 53.802 * [taylor]: Taking taylor expansion of (* -2 PI) in k 53.802 * [taylor]: Taking taylor expansion of -2 in k 53.802 * [backup-simplify]: Simplify -2 into -2 53.802 * [taylor]: Taking taylor expansion of PI in k 53.802 * [backup-simplify]: Simplify PI into PI 53.802 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 53.803 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 53.803 * [taylor]: Taking taylor expansion of (log n) in k 53.803 * [taylor]: Taking taylor expansion of n in k 53.803 * [backup-simplify]: Simplify n into n 53.803 * [backup-simplify]: Simplify (log n) into (log n) 53.803 * [backup-simplify]: Simplify (+ 1 0) into 1 53.803 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 53.804 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 53.804 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 53.805 * [backup-simplify]: Simplify (* 1/4 (- (log (* -2 PI)) (log n))) into (* 1/4 (- (log (* -2 PI)) (log n))) 53.806 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 53.806 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 53.807 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 53.807 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 53.808 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 53.808 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 53.808 * [backup-simplify]: Simplify (+ 0 0) into 0 53.809 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (+ (/ 1 k) 1))) into 0 53.810 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 53.810 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 53.811 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 53.811 * [taylor]: Taking taylor expansion of 0 in k 53.811 * [backup-simplify]: Simplify 0 into 0 53.811 * [backup-simplify]: Simplify 0 into 0 53.811 * [backup-simplify]: Simplify 0 into 0 53.812 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 53.813 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 53.815 * [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 53.815 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 53.815 * [backup-simplify]: Simplify (+ 0 0) into 0 53.816 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 53.817 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 53.818 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 53.820 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 53.820 * [taylor]: Taking taylor expansion of 0 in k 53.820 * [backup-simplify]: Simplify 0 into 0 53.820 * [backup-simplify]: Simplify 0 into 0 53.820 * [backup-simplify]: Simplify 0 into 0 53.820 * [backup-simplify]: Simplify 0 into 0 53.821 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 53.822 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 53.829 * [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 53.829 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 53.829 * [backup-simplify]: Simplify (+ 0 0) into 0 53.830 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 53.831 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 53.832 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 53.834 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 53.834 * [taylor]: Taking taylor expansion of 0 in k 53.834 * [backup-simplify]: Simplify 0 into 0 53.834 * [backup-simplify]: Simplify 0 into 0 53.835 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 53.835 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 53.835 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) into (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) 53.835 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in (n k) around 0 53.835 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in k 53.835 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in k 53.835 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in k 53.835 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in k 53.835 * [taylor]: Taking taylor expansion of 1/4 in k 53.835 * [backup-simplify]: Simplify 1/4 into 1/4 53.835 * [taylor]: Taking taylor expansion of (- 1 k) in k 53.835 * [taylor]: Taking taylor expansion of 1 in k 53.835 * [backup-simplify]: Simplify 1 into 1 53.835 * [taylor]: Taking taylor expansion of k in k 53.835 * [backup-simplify]: Simplify 0 into 0 53.835 * [backup-simplify]: Simplify 1 into 1 53.835 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 53.836 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 53.836 * [taylor]: Taking taylor expansion of 2 in k 53.836 * [backup-simplify]: Simplify 2 into 2 53.836 * [taylor]: Taking taylor expansion of (* n PI) in k 53.836 * [taylor]: Taking taylor expansion of n in k 53.836 * [backup-simplify]: Simplify n into n 53.836 * [taylor]: Taking taylor expansion of PI in k 53.836 * [backup-simplify]: Simplify PI into PI 53.836 * [backup-simplify]: Simplify (* n PI) into (* n PI) 53.836 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 53.836 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 53.836 * [backup-simplify]: Simplify (- 0) into 0 53.836 * [backup-simplify]: Simplify (+ 1 0) into 1 53.837 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 53.837 * [backup-simplify]: Simplify (* 1/4 (log (* 2 (* n PI)))) into (* 1/4 (log (* 2 (* n PI)))) 53.837 * [backup-simplify]: Simplify (exp (* 1/4 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/4) 53.837 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n 53.837 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n 53.837 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n 53.837 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n 53.837 * [taylor]: Taking taylor expansion of 1/4 in n 53.837 * [backup-simplify]: Simplify 1/4 into 1/4 53.837 * [taylor]: Taking taylor expansion of (- 1 k) in n 53.837 * [taylor]: Taking taylor expansion of 1 in n 53.837 * [backup-simplify]: Simplify 1 into 1 53.837 * [taylor]: Taking taylor expansion of k in n 53.837 * [backup-simplify]: Simplify k into k 53.837 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 53.837 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 53.837 * [taylor]: Taking taylor expansion of 2 in n 53.837 * [backup-simplify]: Simplify 2 into 2 53.837 * [taylor]: Taking taylor expansion of (* n PI) in n 53.837 * [taylor]: Taking taylor expansion of n in n 53.837 * [backup-simplify]: Simplify 0 into 0 53.837 * [backup-simplify]: Simplify 1 into 1 53.837 * [taylor]: Taking taylor expansion of PI in n 53.837 * [backup-simplify]: Simplify PI into PI 53.837 * [backup-simplify]: Simplify (* 0 PI) into 0 53.838 * [backup-simplify]: Simplify (* 2 0) into 0 53.838 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 53.839 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 53.840 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 53.840 * [backup-simplify]: Simplify (- k) into (- k) 53.840 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 53.840 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k)) 53.841 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 53.842 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 53.842 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 53.842 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n 53.842 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n 53.842 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n 53.842 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n 53.842 * [taylor]: Taking taylor expansion of 1/4 in n 53.842 * [backup-simplify]: Simplify 1/4 into 1/4 53.842 * [taylor]: Taking taylor expansion of (- 1 k) in n 53.842 * [taylor]: Taking taylor expansion of 1 in n 53.842 * [backup-simplify]: Simplify 1 into 1 53.842 * [taylor]: Taking taylor expansion of k in n 53.842 * [backup-simplify]: Simplify k into k 53.842 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 53.842 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 53.842 * [taylor]: Taking taylor expansion of 2 in n 53.842 * [backup-simplify]: Simplify 2 into 2 53.842 * [taylor]: Taking taylor expansion of (* n PI) in n 53.842 * [taylor]: Taking taylor expansion of n in n 53.843 * [backup-simplify]: Simplify 0 into 0 53.843 * [backup-simplify]: Simplify 1 into 1 53.843 * [taylor]: Taking taylor expansion of PI in n 53.843 * [backup-simplify]: Simplify PI into PI 53.843 * [backup-simplify]: Simplify (* 0 PI) into 0 53.843 * [backup-simplify]: Simplify (* 2 0) into 0 53.844 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 53.845 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 53.845 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 53.845 * [backup-simplify]: Simplify (- k) into (- k) 53.845 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 53.845 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k)) 53.846 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 53.847 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 53.848 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 53.848 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 53.848 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 53.848 * [taylor]: Taking taylor expansion of 1/4 in k 53.848 * [backup-simplify]: Simplify 1/4 into 1/4 53.848 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 53.848 * [taylor]: Taking taylor expansion of (- 1 k) in k 53.848 * [taylor]: Taking taylor expansion of 1 in k 53.848 * [backup-simplify]: Simplify 1 into 1 53.848 * [taylor]: Taking taylor expansion of k in k 53.848 * [backup-simplify]: Simplify 0 into 0 53.848 * [backup-simplify]: Simplify 1 into 1 53.848 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 53.848 * [taylor]: Taking taylor expansion of (log n) in k 53.848 * [taylor]: Taking taylor expansion of n in k 53.848 * [backup-simplify]: Simplify n into n 53.848 * [backup-simplify]: Simplify (log n) into (log n) 53.848 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 53.848 * [taylor]: Taking taylor expansion of (* 2 PI) in k 53.848 * [taylor]: Taking taylor expansion of 2 in k 53.848 * [backup-simplify]: Simplify 2 into 2 53.848 * [taylor]: Taking taylor expansion of PI in k 53.848 * [backup-simplify]: Simplify PI into PI 53.848 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 53.849 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 53.849 * [backup-simplify]: Simplify (- 0) into 0 53.849 * [backup-simplify]: Simplify (+ 1 0) into 1 53.850 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 53.850 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 53.851 * [backup-simplify]: Simplify (* 1/4 (+ (log n) (log (* 2 PI)))) into (* 1/4 (+ (log n) (log (* 2 PI)))) 53.852 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 53.852 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 53.853 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 53.853 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 53.854 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 53.855 * [backup-simplify]: Simplify (- 0) into 0 53.855 * [backup-simplify]: Simplify (+ 0 0) into 0 53.855 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 k))) into 0 53.856 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 53.857 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 53.858 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 53.858 * [taylor]: Taking taylor expansion of 0 in k 53.858 * [backup-simplify]: Simplify 0 into 0 53.858 * [backup-simplify]: Simplify 0 into 0 53.858 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 53.859 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 53.860 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 53.860 * [backup-simplify]: Simplify (+ 0 0) into 0 53.860 * [backup-simplify]: Simplify (- 1) into -1 53.861 * [backup-simplify]: Simplify (+ 0 -1) into -1 53.861 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 53.863 * [backup-simplify]: Simplify (+ (* 1/4 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 53.865 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) 53.867 * [backup-simplify]: Simplify (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) into (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) 53.868 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 53.870 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 53.873 * [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 53.873 * [backup-simplify]: Simplify (- 0) into 0 53.874 * [backup-simplify]: Simplify (+ 0 0) into 0 53.875 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 53.876 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 53.878 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 53.880 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 53.880 * [taylor]: Taking taylor expansion of 0 in k 53.880 * [backup-simplify]: Simplify 0 into 0 53.880 * [backup-simplify]: Simplify 0 into 0 53.880 * [backup-simplify]: Simplify 0 into 0 53.882 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 53.883 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 53.886 * [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 53.889 * [backup-simplify]: Simplify (+ 0 0) into 0 53.890 * [backup-simplify]: Simplify (- 0) into 0 53.890 * [backup-simplify]: Simplify (+ 0 0) into 0 53.892 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 53.894 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 53.896 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) 53.899 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) into (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) 53.904 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) (* k 1)) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) into (- (+ (* 1/16 (* (log (* 2 PI)) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/32 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/4 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/4 (* k (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI))))))) 53.905 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (/ (- 1 (/ 1 k)) 2) 2)) into (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) 53.905 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in (n k) around 0 53.905 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in k 53.905 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 53.905 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 53.905 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in k 53.905 * [taylor]: Taking taylor expansion of 1/4 in k 53.905 * [backup-simplify]: Simplify 1/4 into 1/4 53.905 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 53.905 * [taylor]: Taking taylor expansion of 1 in k 53.905 * [backup-simplify]: Simplify 1 into 1 53.905 * [taylor]: Taking taylor expansion of (/ 1 k) in k 53.905 * [taylor]: Taking taylor expansion of k in k 53.905 * [backup-simplify]: Simplify 0 into 0 53.905 * [backup-simplify]: Simplify 1 into 1 53.905 * [backup-simplify]: Simplify (/ 1 1) into 1 53.905 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 53.905 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 53.905 * [taylor]: Taking taylor expansion of 2 in k 53.905 * [backup-simplify]: Simplify 2 into 2 53.905 * [taylor]: Taking taylor expansion of (/ PI n) in k 53.905 * [taylor]: Taking taylor expansion of PI in k 53.905 * [backup-simplify]: Simplify PI into PI 53.905 * [taylor]: Taking taylor expansion of n in k 53.905 * [backup-simplify]: Simplify n into n 53.905 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 53.905 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 53.905 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 53.906 * [backup-simplify]: Simplify (- 1) into -1 53.906 * [backup-simplify]: Simplify (+ 0 -1) into -1 53.906 * [backup-simplify]: Simplify (* 1/4 -1) into -1/4 53.906 * [backup-simplify]: Simplify (* -1/4 (log (* 2 (/ PI n)))) into (* -1/4 (log (* 2 (/ PI n)))) 53.906 * [backup-simplify]: Simplify (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 53.906 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n 53.906 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 53.906 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 53.906 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n 53.906 * [taylor]: Taking taylor expansion of 1/4 in n 53.906 * [backup-simplify]: Simplify 1/4 into 1/4 53.906 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 53.906 * [taylor]: Taking taylor expansion of 1 in n 53.906 * [backup-simplify]: Simplify 1 into 1 53.906 * [taylor]: Taking taylor expansion of (/ 1 k) in n 53.907 * [taylor]: Taking taylor expansion of k in n 53.907 * [backup-simplify]: Simplify k into k 53.907 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 53.907 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 53.907 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 53.907 * [taylor]: Taking taylor expansion of 2 in n 53.907 * [backup-simplify]: Simplify 2 into 2 53.907 * [taylor]: Taking taylor expansion of (/ PI n) in n 53.907 * [taylor]: Taking taylor expansion of PI in n 53.907 * [backup-simplify]: Simplify PI into PI 53.907 * [taylor]: Taking taylor expansion of n in n 53.907 * [backup-simplify]: Simplify 0 into 0 53.907 * [backup-simplify]: Simplify 1 into 1 53.907 * [backup-simplify]: Simplify (/ PI 1) into PI 53.907 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 53.908 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 53.908 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 53.908 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 53.908 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k))) 53.909 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 53.909 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 53.910 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 53.910 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n 53.910 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 53.910 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 53.910 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n 53.910 * [taylor]: Taking taylor expansion of 1/4 in n 53.910 * [backup-simplify]: Simplify 1/4 into 1/4 53.910 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 53.910 * [taylor]: Taking taylor expansion of 1 in n 53.910 * [backup-simplify]: Simplify 1 into 1 53.910 * [taylor]: Taking taylor expansion of (/ 1 k) in n 53.910 * [taylor]: Taking taylor expansion of k in n 53.910 * [backup-simplify]: Simplify k into k 53.910 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 53.910 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 53.910 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 53.910 * [taylor]: Taking taylor expansion of 2 in n 53.910 * [backup-simplify]: Simplify 2 into 2 53.910 * [taylor]: Taking taylor expansion of (/ PI n) in n 53.910 * [taylor]: Taking taylor expansion of PI in n 53.910 * [backup-simplify]: Simplify PI into PI 53.910 * [taylor]: Taking taylor expansion of n in n 53.910 * [backup-simplify]: Simplify 0 into 0 53.910 * [backup-simplify]: Simplify 1 into 1 53.911 * [backup-simplify]: Simplify (/ PI 1) into PI 53.911 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 53.912 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 53.912 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 53.912 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 53.912 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k))) 53.913 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 53.913 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 53.914 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 53.914 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 53.914 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 53.914 * [taylor]: Taking taylor expansion of 1/4 in k 53.914 * [backup-simplify]: Simplify 1/4 into 1/4 53.914 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 53.914 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 53.914 * [taylor]: Taking taylor expansion of 1 in k 53.914 * [backup-simplify]: Simplify 1 into 1 53.914 * [taylor]: Taking taylor expansion of (/ 1 k) in k 53.914 * [taylor]: Taking taylor expansion of k in k 53.914 * [backup-simplify]: Simplify 0 into 0 53.914 * [backup-simplify]: Simplify 1 into 1 53.915 * [backup-simplify]: Simplify (/ 1 1) into 1 53.915 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 53.915 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 53.915 * [taylor]: Taking taylor expansion of (* 2 PI) in k 53.915 * [taylor]: Taking taylor expansion of 2 in k 53.915 * [backup-simplify]: Simplify 2 into 2 53.915 * [taylor]: Taking taylor expansion of PI in k 53.915 * [backup-simplify]: Simplify PI into PI 53.915 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 53.916 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 53.916 * [taylor]: Taking taylor expansion of (log n) in k 53.916 * [taylor]: Taking taylor expansion of n in k 53.916 * [backup-simplify]: Simplify n into n 53.916 * [backup-simplify]: Simplify (log n) into (log n) 53.916 * [backup-simplify]: Simplify (- 1) into -1 53.916 * [backup-simplify]: Simplify (+ 0 -1) into -1 53.916 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 53.917 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 53.917 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 53.918 * [backup-simplify]: Simplify (* 1/4 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/4 (- (log (* 2 PI)) (log n))) 53.919 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 53.919 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 53.920 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 53.920 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 53.921 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 53.921 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 53.922 * [backup-simplify]: Simplify (- 0) into 0 53.922 * [backup-simplify]: Simplify (+ 0 0) into 0 53.922 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 (/ 1 k)))) into 0 53.923 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 53.924 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 53.925 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 53.925 * [taylor]: Taking taylor expansion of 0 in k 53.925 * [backup-simplify]: Simplify 0 into 0 53.925 * [backup-simplify]: Simplify 0 into 0 53.925 * [backup-simplify]: Simplify 0 into 0 53.926 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 53.926 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 53.928 * [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 53.928 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 53.928 * [backup-simplify]: Simplify (- 0) into 0 53.929 * [backup-simplify]: Simplify (+ 0 0) into 0 53.929 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 53.930 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 53.931 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 53.932 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 53.932 * [taylor]: Taking taylor expansion of 0 in k 53.932 * [backup-simplify]: Simplify 0 into 0 53.932 * [backup-simplify]: Simplify 0 into 0 53.932 * [backup-simplify]: Simplify 0 into 0 53.932 * [backup-simplify]: Simplify 0 into 0 53.933 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 53.934 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 53.937 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 53.937 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 53.937 * [backup-simplify]: Simplify (- 0) into 0 53.938 * [backup-simplify]: Simplify (+ 0 0) into 0 53.939 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 53.940 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 53.941 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 53.942 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 53.942 * [taylor]: Taking taylor expansion of 0 in k 53.942 * [backup-simplify]: Simplify 0 into 0 53.942 * [backup-simplify]: Simplify 0 into 0 53.943 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 53.943 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (/ (- 1 (/ 1 (- k))) 2) 2)) into (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) 53.943 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in (n k) around 0 53.943 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in k 53.943 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 53.943 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 53.943 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in k 53.944 * [taylor]: Taking taylor expansion of 1/4 in k 53.944 * [backup-simplify]: Simplify 1/4 into 1/4 53.944 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 53.944 * [taylor]: Taking taylor expansion of (/ 1 k) in k 53.944 * [taylor]: Taking taylor expansion of k in k 53.944 * [backup-simplify]: Simplify 0 into 0 53.944 * [backup-simplify]: Simplify 1 into 1 53.944 * [backup-simplify]: Simplify (/ 1 1) into 1 53.944 * [taylor]: Taking taylor expansion of 1 in k 53.944 * [backup-simplify]: Simplify 1 into 1 53.944 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 53.944 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 53.944 * [taylor]: Taking taylor expansion of -2 in k 53.944 * [backup-simplify]: Simplify -2 into -2 53.944 * [taylor]: Taking taylor expansion of (/ PI n) in k 53.944 * [taylor]: Taking taylor expansion of PI in k 53.944 * [backup-simplify]: Simplify PI into PI 53.944 * [taylor]: Taking taylor expansion of n in k 53.944 * [backup-simplify]: Simplify n into n 53.944 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 53.944 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 53.944 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 53.944 * [backup-simplify]: Simplify (+ 1 0) into 1 53.945 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 53.945 * [backup-simplify]: Simplify (* 1/4 (log (* -2 (/ PI n)))) into (* 1/4 (log (* -2 (/ PI n)))) 53.945 * [backup-simplify]: Simplify (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/4 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 53.945 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n 53.945 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 53.945 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 53.945 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n 53.945 * [taylor]: Taking taylor expansion of 1/4 in n 53.945 * [backup-simplify]: Simplify 1/4 into 1/4 53.945 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 53.945 * [taylor]: Taking taylor expansion of (/ 1 k) in n 53.945 * [taylor]: Taking taylor expansion of k in n 53.945 * [backup-simplify]: Simplify k into k 53.945 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 53.945 * [taylor]: Taking taylor expansion of 1 in n 53.945 * [backup-simplify]: Simplify 1 into 1 53.945 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 53.945 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 53.945 * [taylor]: Taking taylor expansion of -2 in n 53.945 * [backup-simplify]: Simplify -2 into -2 53.945 * [taylor]: Taking taylor expansion of (/ PI n) in n 53.945 * [taylor]: Taking taylor expansion of PI in n 53.945 * [backup-simplify]: Simplify PI into PI 53.945 * [taylor]: Taking taylor expansion of n in n 53.945 * [backup-simplify]: Simplify 0 into 0 53.945 * [backup-simplify]: Simplify 1 into 1 53.946 * [backup-simplify]: Simplify (/ PI 1) into PI 53.946 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 53.947 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 53.947 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 53.947 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1)) 53.949 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 53.950 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 53.951 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 53.951 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n 53.951 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 53.951 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 53.951 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n 53.951 * [taylor]: Taking taylor expansion of 1/4 in n 53.951 * [backup-simplify]: Simplify 1/4 into 1/4 53.951 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 53.951 * [taylor]: Taking taylor expansion of (/ 1 k) in n 53.951 * [taylor]: Taking taylor expansion of k in n 53.951 * [backup-simplify]: Simplify k into k 53.951 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 53.951 * [taylor]: Taking taylor expansion of 1 in n 53.951 * [backup-simplify]: Simplify 1 into 1 53.951 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 53.951 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 53.951 * [taylor]: Taking taylor expansion of -2 in n 53.951 * [backup-simplify]: Simplify -2 into -2 53.951 * [taylor]: Taking taylor expansion of (/ PI n) in n 53.951 * [taylor]: Taking taylor expansion of PI in n 53.951 * [backup-simplify]: Simplify PI into PI 53.951 * [taylor]: Taking taylor expansion of n in n 53.952 * [backup-simplify]: Simplify 0 into 0 53.952 * [backup-simplify]: Simplify 1 into 1 53.952 * [backup-simplify]: Simplify (/ PI 1) into PI 53.952 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 53.954 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 53.954 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 53.954 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1)) 53.955 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 53.956 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 53.957 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 53.958 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 53.958 * [taylor]: Taking taylor expansion of (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 53.958 * [taylor]: Taking taylor expansion of 1/4 in k 53.958 * [backup-simplify]: Simplify 1/4 into 1/4 53.958 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 53.958 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 53.958 * [taylor]: Taking taylor expansion of (/ 1 k) in k 53.958 * [taylor]: Taking taylor expansion of k in k 53.958 * [backup-simplify]: Simplify 0 into 0 53.958 * [backup-simplify]: Simplify 1 into 1 53.958 * [backup-simplify]: Simplify (/ 1 1) into 1 53.958 * [taylor]: Taking taylor expansion of 1 in k 53.958 * [backup-simplify]: Simplify 1 into 1 53.958 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 53.958 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 53.958 * [taylor]: Taking taylor expansion of (* -2 PI) in k 53.958 * [taylor]: Taking taylor expansion of -2 in k 53.958 * [backup-simplify]: Simplify -2 into -2 53.959 * [taylor]: Taking taylor expansion of PI in k 53.959 * [backup-simplify]: Simplify PI into PI 53.959 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 53.960 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 53.960 * [taylor]: Taking taylor expansion of (log n) in k 53.960 * [taylor]: Taking taylor expansion of n in k 53.960 * [backup-simplify]: Simplify n into n 53.960 * [backup-simplify]: Simplify (log n) into (log n) 53.961 * [backup-simplify]: Simplify (+ 1 0) into 1 53.961 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 53.962 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 53.963 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 53.964 * [backup-simplify]: Simplify (* 1/4 (- (log (* -2 PI)) (log n))) into (* 1/4 (- (log (* -2 PI)) (log n))) 53.965 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 53.966 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 53.967 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 53.968 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 53.970 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 53.970 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 53.970 * [backup-simplify]: Simplify (+ 0 0) into 0 53.971 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (+ (/ 1 k) 1))) into 0 53.972 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 53.973 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 53.975 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 53.975 * [taylor]: Taking taylor expansion of 0 in k 53.975 * [backup-simplify]: Simplify 0 into 0 53.975 * [backup-simplify]: Simplify 0 into 0 53.975 * [backup-simplify]: Simplify 0 into 0 53.976 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 53.977 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 53.981 * [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 53.982 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 53.982 * [backup-simplify]: Simplify (+ 0 0) into 0 53.983 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 53.984 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 53.986 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 53.988 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 53.988 * [taylor]: Taking taylor expansion of 0 in k 53.988 * [backup-simplify]: Simplify 0 into 0 53.989 * [backup-simplify]: Simplify 0 into 0 53.989 * [backup-simplify]: Simplify 0 into 0 53.989 * [backup-simplify]: Simplify 0 into 0 53.990 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 53.991 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 53.999 * [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 53.999 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 54.000 * [backup-simplify]: Simplify (+ 0 0) into 0 54.001 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 54.002 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 54.004 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 54.006 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 54.006 * [taylor]: Taking taylor expansion of 0 in k 54.006 * [backup-simplify]: Simplify 0 into 0 54.006 * [backup-simplify]: Simplify 0 into 0 54.007 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 54.007 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1) 54.007 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI)) 54.007 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 54.007 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 54.007 * [taylor]: Taking taylor expansion of 2 in n 54.007 * [backup-simplify]: Simplify 2 into 2 54.007 * [taylor]: Taking taylor expansion of (* n PI) in n 54.007 * [taylor]: Taking taylor expansion of n in n 54.007 * [backup-simplify]: Simplify 0 into 0 54.007 * [backup-simplify]: Simplify 1 into 1 54.007 * [taylor]: Taking taylor expansion of PI in n 54.007 * [backup-simplify]: Simplify PI into PI 54.007 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 54.007 * [taylor]: Taking taylor expansion of 2 in n 54.007 * [backup-simplify]: Simplify 2 into 2 54.007 * [taylor]: Taking taylor expansion of (* n PI) in n 54.007 * [taylor]: Taking taylor expansion of n in n 54.007 * [backup-simplify]: Simplify 0 into 0 54.007 * [backup-simplify]: Simplify 1 into 1 54.007 * [taylor]: Taking taylor expansion of PI in n 54.007 * [backup-simplify]: Simplify PI into PI 54.008 * [backup-simplify]: Simplify (* 0 PI) into 0 54.008 * [backup-simplify]: Simplify (* 2 0) into 0 54.008 * [backup-simplify]: Simplify 0 into 0 54.009 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 54.010 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 54.010 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 54.011 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 54.011 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 54.011 * [backup-simplify]: Simplify 0 into 0 54.012 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 54.012 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 54.012 * [backup-simplify]: Simplify 0 into 0 54.013 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 54.014 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 54.014 * [backup-simplify]: Simplify 0 into 0 54.015 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 54.016 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 54.016 * [backup-simplify]: Simplify 0 into 0 54.017 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 54.018 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 54.018 * [backup-simplify]: Simplify 0 into 0 54.019 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 54.020 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 54.020 * [backup-simplify]: Simplify 0 into 0 54.021 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 54.021 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n)) 54.021 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 54.021 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 54.021 * [taylor]: Taking taylor expansion of 2 in n 54.021 * [backup-simplify]: Simplify 2 into 2 54.021 * [taylor]: Taking taylor expansion of (/ PI n) in n 54.021 * [taylor]: Taking taylor expansion of PI in n 54.021 * [backup-simplify]: Simplify PI into PI 54.021 * [taylor]: Taking taylor expansion of n in n 54.021 * [backup-simplify]: Simplify 0 into 0 54.021 * [backup-simplify]: Simplify 1 into 1 54.021 * [backup-simplify]: Simplify (/ PI 1) into PI 54.022 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 54.022 * [taylor]: Taking taylor expansion of 2 in n 54.022 * [backup-simplify]: Simplify 2 into 2 54.022 * [taylor]: Taking taylor expansion of (/ PI n) in n 54.022 * [taylor]: Taking taylor expansion of PI in n 54.022 * [backup-simplify]: Simplify PI into PI 54.022 * [taylor]: Taking taylor expansion of n in n 54.022 * [backup-simplify]: Simplify 0 into 0 54.022 * [backup-simplify]: Simplify 1 into 1 54.022 * [backup-simplify]: Simplify (/ PI 1) into PI 54.022 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 54.023 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 54.023 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 54.024 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 54.024 * [backup-simplify]: Simplify 0 into 0 54.024 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 54.025 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 54.025 * [backup-simplify]: Simplify 0 into 0 54.025 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 54.026 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 54.026 * [backup-simplify]: Simplify 0 into 0 54.027 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 54.027 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 54.027 * [backup-simplify]: Simplify 0 into 0 54.028 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 54.029 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 54.029 * [backup-simplify]: Simplify 0 into 0 54.029 * [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 54.030 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 54.030 * [backup-simplify]: Simplify 0 into 0 54.031 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 54.031 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n)) 54.031 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 54.031 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 54.031 * [taylor]: Taking taylor expansion of -2 in n 54.031 * [backup-simplify]: Simplify -2 into -2 54.031 * [taylor]: Taking taylor expansion of (/ PI n) in n 54.031 * [taylor]: Taking taylor expansion of PI in n 54.031 * [backup-simplify]: Simplify PI into PI 54.031 * [taylor]: Taking taylor expansion of n in n 54.031 * [backup-simplify]: Simplify 0 into 0 54.031 * [backup-simplify]: Simplify 1 into 1 54.032 * [backup-simplify]: Simplify (/ PI 1) into PI 54.032 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 54.032 * [taylor]: Taking taylor expansion of -2 in n 54.032 * [backup-simplify]: Simplify -2 into -2 54.032 * [taylor]: Taking taylor expansion of (/ PI n) in n 54.032 * [taylor]: Taking taylor expansion of PI in n 54.032 * [backup-simplify]: Simplify PI into PI 54.032 * [taylor]: Taking taylor expansion of n in n 54.032 * [backup-simplify]: Simplify 0 into 0 54.032 * [backup-simplify]: Simplify 1 into 1 54.032 * [backup-simplify]: Simplify (/ PI 1) into PI 54.032 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 54.033 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 54.033 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 54.034 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 54.034 * [backup-simplify]: Simplify 0 into 0 54.034 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 54.035 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 54.035 * [backup-simplify]: Simplify 0 into 0 54.035 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 54.036 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 54.036 * [backup-simplify]: Simplify 0 into 0 54.037 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 54.037 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 54.037 * [backup-simplify]: Simplify 0 into 0 54.038 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 54.039 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 54.039 * [backup-simplify]: Simplify 0 into 0 54.039 * [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 54.040 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 54.040 * [backup-simplify]: Simplify 0 into 0 54.041 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 54.041 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 54.041 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI)) 54.041 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 54.041 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 54.041 * [taylor]: Taking taylor expansion of 2 in n 54.041 * [backup-simplify]: Simplify 2 into 2 54.041 * [taylor]: Taking taylor expansion of (* n PI) in n 54.041 * [taylor]: Taking taylor expansion of n in n 54.041 * [backup-simplify]: Simplify 0 into 0 54.041 * [backup-simplify]: Simplify 1 into 1 54.041 * [taylor]: Taking taylor expansion of PI in n 54.041 * [backup-simplify]: Simplify PI into PI 54.041 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 54.041 * [taylor]: Taking taylor expansion of 2 in n 54.041 * [backup-simplify]: Simplify 2 into 2 54.041 * [taylor]: Taking taylor expansion of (* n PI) in n 54.041 * [taylor]: Taking taylor expansion of n in n 54.041 * [backup-simplify]: Simplify 0 into 0 54.041 * [backup-simplify]: Simplify 1 into 1 54.041 * [taylor]: Taking taylor expansion of PI in n 54.041 * [backup-simplify]: Simplify PI into PI 54.042 * [backup-simplify]: Simplify (* 0 PI) into 0 54.042 * [backup-simplify]: Simplify (* 2 0) into 0 54.042 * [backup-simplify]: Simplify 0 into 0 54.043 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 54.044 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 54.044 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 54.045 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 54.045 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 54.045 * [backup-simplify]: Simplify 0 into 0 54.047 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 54.048 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 54.048 * [backup-simplify]: Simplify 0 into 0 54.049 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 54.051 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 54.051 * [backup-simplify]: Simplify 0 into 0 54.052 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 54.054 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 54.054 * [backup-simplify]: Simplify 0 into 0 54.055 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 54.057 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 54.057 * [backup-simplify]: Simplify 0 into 0 54.059 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 54.061 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 54.061 * [backup-simplify]: Simplify 0 into 0 54.062 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 54.062 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n)) 54.062 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 54.062 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 54.062 * [taylor]: Taking taylor expansion of 2 in n 54.062 * [backup-simplify]: Simplify 2 into 2 54.062 * [taylor]: Taking taylor expansion of (/ PI n) in n 54.062 * [taylor]: Taking taylor expansion of PI in n 54.062 * [backup-simplify]: Simplify PI into PI 54.062 * [taylor]: Taking taylor expansion of n in n 54.062 * [backup-simplify]: Simplify 0 into 0 54.062 * [backup-simplify]: Simplify 1 into 1 54.063 * [backup-simplify]: Simplify (/ PI 1) into PI 54.063 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 54.063 * [taylor]: Taking taylor expansion of 2 in n 54.063 * [backup-simplify]: Simplify 2 into 2 54.063 * [taylor]: Taking taylor expansion of (/ PI n) in n 54.063 * [taylor]: Taking taylor expansion of PI in n 54.063 * [backup-simplify]: Simplify PI into PI 54.063 * [taylor]: Taking taylor expansion of n in n 54.063 * [backup-simplify]: Simplify 0 into 0 54.063 * [backup-simplify]: Simplify 1 into 1 54.064 * [backup-simplify]: Simplify (/ PI 1) into PI 54.064 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 54.065 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 54.066 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 54.067 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 54.067 * [backup-simplify]: Simplify 0 into 0 54.068 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 54.069 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 54.069 * [backup-simplify]: Simplify 0 into 0 54.070 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 54.071 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 54.071 * [backup-simplify]: Simplify 0 into 0 54.072 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 54.073 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 54.073 * [backup-simplify]: Simplify 0 into 0 54.074 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 54.076 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 54.076 * [backup-simplify]: Simplify 0 into 0 54.077 * [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 54.079 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 54.079 * [backup-simplify]: Simplify 0 into 0 54.080 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 54.080 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n)) 54.080 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 54.080 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 54.080 * [taylor]: Taking taylor expansion of -2 in n 54.080 * [backup-simplify]: Simplify -2 into -2 54.080 * [taylor]: Taking taylor expansion of (/ PI n) in n 54.080 * [taylor]: Taking taylor expansion of PI in n 54.080 * [backup-simplify]: Simplify PI into PI 54.081 * [taylor]: Taking taylor expansion of n in n 54.081 * [backup-simplify]: Simplify 0 into 0 54.081 * [backup-simplify]: Simplify 1 into 1 54.081 * [backup-simplify]: Simplify (/ PI 1) into PI 54.081 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 54.081 * [taylor]: Taking taylor expansion of -2 in n 54.081 * [backup-simplify]: Simplify -2 into -2 54.081 * [taylor]: Taking taylor expansion of (/ PI n) in n 54.081 * [taylor]: Taking taylor expansion of PI in n 54.081 * [backup-simplify]: Simplify PI into PI 54.081 * [taylor]: Taking taylor expansion of n in n 54.081 * [backup-simplify]: Simplify 0 into 0 54.081 * [backup-simplify]: Simplify 1 into 1 54.082 * [backup-simplify]: Simplify (/ PI 1) into PI 54.082 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 54.083 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 54.084 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 54.084 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 54.084 * [backup-simplify]: Simplify 0 into 0 54.085 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 54.086 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 54.086 * [backup-simplify]: Simplify 0 into 0 54.087 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 54.089 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 54.089 * [backup-simplify]: Simplify 0 into 0 54.090 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 54.091 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 54.091 * [backup-simplify]: Simplify 0 into 0 54.092 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 54.094 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 54.094 * [backup-simplify]: Simplify 0 into 0 54.095 * [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 54.097 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 54.097 * [backup-simplify]: Simplify 0 into 0 54.097 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 54.097 * * * [progress]: simplifying candidates 54.097 * * * * [progress]: [ 1 / 226 ] simplifiying candidate # 54.098 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2)) 54.098 * * [simplify]: iters left: 6 (14 enodes) 54.106 * * [simplify]: iters left: 5 (60 enodes) 54.129 * * [simplify]: iters left: 4 (108 enodes) 54.169 * * [simplify]: iters left: 3 (249 enodes) 54.275 * * [simplify]: Extracting #0: cost 1 inf + 0 54.275 * * [simplify]: Extracting #1: cost 28 inf + 0 54.276 * * [simplify]: Extracting #2: cost 114 inf + 2 54.277 * * [simplify]: Extracting #3: cost 151 inf + 301 54.280 * * [simplify]: Extracting #4: cost 84 inf + 10352 54.288 * * [simplify]: Extracting #5: cost 17 inf + 27228 54.300 * * [simplify]: Extracting #6: cost 0 inf + 31848 54.312 * * [simplify]: Extracting #7: cost 0 inf + 31808 54.320 * [simplify]: Simplified to (/ (+ (log n) (+ (log 2) (log PI))) (/ 4 (- 1 k))) 54.320 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (exp (/ (+ (log n) (+ (log 2) (log PI))) (/ 4 (- 1 k))))))) 54.320 * * * * [progress]: [ 2 / 226 ] simplifiying candidate # 54.321 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2)) 54.321 * * [simplify]: iters left: 6 (13 enodes) 54.325 * * [simplify]: iters left: 5 (58 enodes) 54.335 * * [simplify]: iters left: 4 (101 enodes) 54.358 * * [simplify]: iters left: 3 (207 enodes) 54.451 * * [simplify]: iters left: 2 (498 enodes) 54.613 * * [simplify]: Extracting #0: cost 1 inf + 0 54.613 * * [simplify]: Extracting #1: cost 58 inf + 0 54.614 * * [simplify]: Extracting #2: cost 205 inf + 4 54.615 * * [simplify]: Extracting #3: cost 244 inf + 1075 54.618 * * [simplify]: Extracting #4: cost 137 inf + 20618 54.632 * * [simplify]: Extracting #5: cost 12 inf + 54441 54.656 * * [simplify]: Extracting #6: cost 0 inf + 58827 54.680 * * [simplify]: Extracting #7: cost 0 inf + 58826 54.702 * [simplify]: Simplified to (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 4) 54.702 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (exp (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 4))))) 54.702 * * * * [progress]: [ 3 / 226 ] simplifiying candidate # 54.703 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)) 54.703 * * [simplify]: iters left: 6 (12 enodes) 54.707 * * [simplify]: iters left: 5 (57 enodes) 54.719 * * [simplify]: iters left: 4 (111 enodes) 54.748 * * [simplify]: iters left: 3 (212 enodes) 54.827 * * [simplify]: iters left: 2 (446 enodes) 54.958 * * [simplify]: Extracting #0: cost 1 inf + 0 54.958 * * [simplify]: Extracting #1: cost 34 inf + 0 54.958 * * [simplify]: Extracting #2: cost 143 inf + 4 54.959 * * [simplify]: Extracting #3: cost 200 inf + 396 54.961 * * [simplify]: Extracting #4: cost 133 inf + 9596 54.967 * * [simplify]: Extracting #5: cost 32 inf + 30294 54.974 * * [simplify]: Extracting #6: cost 1 inf + 36989 54.982 * * [simplify]: Extracting #7: cost 0 inf + 37182 54.999 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 4) 54.999 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 4))))) 54.999 * * * * [progress]: [ 4 / 226 ] simplifiying candidate # 54.999 * * * * [progress]: [ 5 / 226 ] simplifiying candidate # 54.999 * [simplify]: Simplifying (* n (* 2 PI)) 55.000 * * [simplify]: iters left: 4 (5 enodes) 55.003 * * [simplify]: iters left: 3 (19 enodes) 55.009 * * [simplify]: iters left: 2 (27 enodes) 55.017 * * [simplify]: iters left: 1 (32 enodes) 55.025 * * [simplify]: Extracting #0: cost 1 inf + 0 55.026 * * [simplify]: Extracting #1: cost 8 inf + 0 55.026 * * [simplify]: Extracting #2: cost 7 inf + 45 55.026 * * [simplify]: Extracting #3: cost 0 inf + 421 55.026 * [simplify]: Simplified to (* (* PI 2) n) 55.026 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* (* PI 2) n) (* 1 (/ (/ (- 1 k) 2) 2)))))) 55.026 * * * * [progress]: [ 6 / 226 ] simplifiying candidate # 55.027 * [simplify]: Simplifying (* n (* 2 PI)) 55.027 * * [simplify]: iters left: 4 (5 enodes) 55.030 * * [simplify]: iters left: 3 (19 enodes) 55.036 * * [simplify]: iters left: 2 (27 enodes) 55.044 * * [simplify]: iters left: 1 (32 enodes) 55.052 * * [simplify]: Extracting #0: cost 1 inf + 0 55.052 * * [simplify]: Extracting #1: cost 8 inf + 0 55.052 * * [simplify]: Extracting #2: cost 7 inf + 45 55.053 * * [simplify]: Extracting #3: cost 0 inf + 421 55.053 * [simplify]: Simplified to (* (* PI 2) n) 55.053 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* (* PI 2) n) (* 1 (/ (/ (- 1 k) 2) 2)))))) 55.053 * * * * [progress]: [ 7 / 226 ] simplifiying candidate # 55.053 * [simplify]: Simplifying (* n (* 2 PI)) 55.053 * * [simplify]: iters left: 4 (5 enodes) 55.056 * * [simplify]: iters left: 3 (19 enodes) 55.062 * * [simplify]: iters left: 2 (27 enodes) 55.070 * * [simplify]: iters left: 1 (32 enodes) 55.078 * * [simplify]: Extracting #0: cost 1 inf + 0 55.078 * * [simplify]: Extracting #1: cost 8 inf + 0 55.079 * * [simplify]: Extracting #2: cost 7 inf + 45 55.079 * * [simplify]: Extracting #3: cost 0 inf + 421 55.079 * [simplify]: Simplified to (* (* PI 2) n) 55.079 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* (* PI 2) n) (* 1 (/ (/ (- 1 k) 2) 2)))))) 55.079 * * * * [progress]: [ 8 / 226 ] simplifiying candidate # 55.080 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ k 2) 2)) 55.080 * * [simplify]: iters left: 5 (9 enodes) 55.085 * * [simplify]: iters left: 4 (37 enodes) 55.097 * * [simplify]: iters left: 3 (57 enodes) 55.116 * * [simplify]: iters left: 2 (93 enodes) 55.148 * * [simplify]: iters left: 1 (170 enodes) 55.212 * * [simplify]: Extracting #0: cost 1 inf + 0 55.212 * * [simplify]: Extracting #1: cost 13 inf + 0 55.213 * * [simplify]: Extracting #2: cost 59 inf + 1 55.213 * * [simplify]: Extracting #3: cost 78 inf + 176 55.215 * * [simplify]: Extracting #4: cost 40 inf + 3875 55.219 * * [simplify]: Extracting #5: cost 7 inf + 16988 55.226 * * [simplify]: Extracting #6: cost 0 inf + 20577 55.231 * * [simplify]: Extracting #7: cost 0 inf + 20336 55.238 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ k 4)) 55.238 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (/ (pow (* n (* 2 PI)) (/ (/ 1 2) 2)) (pow (* (* PI 2) n) (/ k 4)))))) 55.238 * * * * [progress]: [ 9 / 226 ] simplifiying candidate # 55.238 * [simplify]: Simplifying (cbrt (/ (/ (- 1 k) 2) 2)) 55.239 * * [simplify]: iters left: 6 (7 enodes) 55.244 * * [simplify]: iters left: 5 (32 enodes) 55.253 * * [simplify]: iters left: 4 (47 enodes) 55.261 * * [simplify]: iters left: 3 (53 enodes) 55.269 * * [simplify]: iters left: 2 (60 enodes) 55.281 * * [simplify]: Extracting #0: cost 1 inf + 0 55.281 * * [simplify]: Extracting #1: cost 3 inf + 0 55.281 * * [simplify]: Extracting #2: cost 11 inf + 0 55.281 * * [simplify]: Extracting #3: cost 17 inf + 3 55.282 * * [simplify]: Extracting #4: cost 14 inf + 129 55.282 * * [simplify]: Extracting #5: cost 3 inf + 794 55.282 * * [simplify]: Extracting #6: cost 0 inf + 1162 55.282 * [simplify]: Simplified to (cbrt (- 1/4 (/ k 4))) 55.282 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (* (cbrt (/ (/ (- 1 k) 2) 2)) (cbrt (/ (/ (- 1 k) 2) 2)))) (cbrt (- 1/4 (/ k 4))))))) 55.283 * * * * [progress]: [ 10 / 226 ] simplifiying candidate # 55.283 * [simplify]: Simplifying (sqrt (/ (/ (- 1 k) 2) 2)) 55.283 * * [simplify]: iters left: 6 (7 enodes) 55.286 * * [simplify]: iters left: 5 (32 enodes) 55.291 * * [simplify]: iters left: 4 (47 enodes) 55.300 * * [simplify]: iters left: 3 (53 enodes) 55.316 * * [simplify]: iters left: 2 (60 enodes) 55.325 * * [simplify]: Extracting #0: cost 1 inf + 0 55.325 * * [simplify]: Extracting #1: cost 3 inf + 0 55.325 * * [simplify]: Extracting #2: cost 11 inf + 0 55.326 * * [simplify]: Extracting #3: cost 17 inf + 3 55.326 * * [simplify]: Extracting #4: cost 14 inf + 129 55.326 * * [simplify]: Extracting #5: cost 3 inf + 794 55.326 * * [simplify]: Extracting #6: cost 0 inf + 1082 55.326 * [simplify]: Simplified to (sqrt (- 1/4 (/ k 4))) 55.326 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (sqrt (/ (/ (- 1 k) 2) 2))) (sqrt (- 1/4 (/ k 4))))))) 55.327 * * * * [progress]: [ 11 / 226 ] simplifiying candidate # 55.327 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)) 55.327 * * [simplify]: iters left: 6 (8 enodes) 55.330 * * [simplify]: iters left: 5 (32 enodes) 55.336 * * [simplify]: iters left: 4 (41 enodes) 55.344 * * [simplify]: Extracting #0: cost 1 inf + 0 55.344 * * [simplify]: Extracting #1: cost 4 inf + 0 55.344 * * [simplify]: Extracting #2: cost 8 inf + 0 55.344 * * [simplify]: Extracting #3: cost 9 inf + 163 55.344 * * [simplify]: Extracting #4: cost 13 inf + 164 55.345 * * [simplify]: Extracting #5: cost 10 inf + 249 55.345 * * [simplify]: Extracting #6: cost 3 inf + 986 55.345 * * [simplify]: Extracting #7: cost 0 inf + 1474 55.346 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)) 55.346 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)))))) 55.346 * * * * [progress]: [ 12 / 226 ] simplifiying candidate # 55.347 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) (sqrt 2)) 55.347 * * [simplify]: iters left: 6 (8 enodes) 55.352 * * [simplify]: iters left: 5 (32 enodes) 55.363 * * [simplify]: iters left: 4 (41 enodes) 55.376 * * [simplify]: Extracting #0: cost 1 inf + 0 55.376 * * [simplify]: Extracting #1: cost 4 inf + 0 55.376 * * [simplify]: Extracting #2: cost 8 inf + 0 55.376 * * [simplify]: Extracting #3: cost 9 inf + 83 55.376 * * [simplify]: Extracting #4: cost 13 inf + 84 55.377 * * [simplify]: Extracting #5: cost 10 inf + 169 55.377 * * [simplify]: Extracting #6: cost 3 inf + 866 55.377 * * [simplify]: Extracting #7: cost 0 inf + 1314 55.378 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) (sqrt 2)) 55.378 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (sqrt 2))) (/ (cbrt (/ (- 1 k) 2)) (sqrt 2)))))) 55.378 * * * * [progress]: [ 13 / 226 ] simplifiying candidate # 55.379 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) 2) 55.379 * * [simplify]: iters left: 6 (7 enodes) 55.383 * * [simplify]: iters left: 5 (29 enodes) 55.393 * * [simplify]: iters left: 4 (38 enodes) 55.408 * * [simplify]: Extracting #0: cost 1 inf + 0 55.408 * * [simplify]: Extracting #1: cost 4 inf + 0 55.408 * * [simplify]: Extracting #2: cost 5 inf + 1 55.408 * * [simplify]: Extracting #3: cost 9 inf + 1 55.408 * * [simplify]: Extracting #4: cost 13 inf + 2 55.408 * * [simplify]: Extracting #5: cost 12 inf + 4 55.408 * * [simplify]: Extracting #6: cost 2 inf + 746 55.409 * * [simplify]: Extracting #7: cost 0 inf + 1152 55.409 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) 2) 55.409 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) 1)) (/ (cbrt (/ (- 1 k) 2)) 2))))) 55.409 * * * * [progress]: [ 14 / 226 ] simplifiying candidate # 55.410 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) (cbrt 2)) 55.410 * * [simplify]: iters left: 6 (8 enodes) 55.415 * * [simplify]: iters left: 5 (32 enodes) 55.426 * * [simplify]: iters left: 4 (41 enodes) 55.438 * * [simplify]: Extracting #0: cost 1 inf + 0 55.438 * * [simplify]: Extracting #1: cost 4 inf + 0 55.438 * * [simplify]: Extracting #2: cost 8 inf + 0 55.438 * * [simplify]: Extracting #3: cost 9 inf + 163 55.439 * * [simplify]: Extracting #4: cost 13 inf + 164 55.439 * * [simplify]: Extracting #5: cost 10 inf + 249 55.439 * * [simplify]: Extracting #6: cost 3 inf + 906 55.439 * * [simplify]: Extracting #7: cost 0 inf + 1314 55.440 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) (cbrt 2)) 55.440 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (/ (- 1 k) 2)) (cbrt 2)))))) 55.440 * * * * [progress]: [ 15 / 226 ] simplifiying candidate # 55.441 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)) 55.441 * * [simplify]: iters left: 6 (8 enodes) 55.446 * * [simplify]: iters left: 5 (32 enodes) 55.455 * * [simplify]: iters left: 4 (41 enodes) 55.461 * * [simplify]: Extracting #0: cost 1 inf + 0 55.461 * * [simplify]: Extracting #1: cost 4 inf + 0 55.461 * * [simplify]: Extracting #2: cost 8 inf + 0 55.461 * * [simplify]: Extracting #3: cost 9 inf + 83 55.462 * * [simplify]: Extracting #4: cost 13 inf + 84 55.462 * * [simplify]: Extracting #5: cost 10 inf + 169 55.462 * * [simplify]: Extracting #6: cost 3 inf + 786 55.462 * * [simplify]: Extracting #7: cost 0 inf + 1154 55.462 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)) 55.462 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)))))) 55.462 * * * * [progress]: [ 16 / 226 ] simplifiying candidate # 55.463 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) 2) 55.463 * * [simplify]: iters left: 6 (7 enodes) 55.465 * * [simplify]: iters left: 5 (29 enodes) 55.470 * * [simplify]: iters left: 4 (38 enodes) 55.475 * * [simplify]: Extracting #0: cost 1 inf + 0 55.475 * * [simplify]: Extracting #1: cost 4 inf + 0 55.475 * * [simplify]: Extracting #2: cost 5 inf + 1 55.475 * * [simplify]: Extracting #3: cost 9 inf + 1 55.475 * * [simplify]: Extracting #4: cost 13 inf + 2 55.476 * * [simplify]: Extracting #5: cost 12 inf + 4 55.476 * * [simplify]: Extracting #6: cost 2 inf + 666 55.476 * * [simplify]: Extracting #7: cost 0 inf + 992 55.476 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) 2) 55.476 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) 1)) (/ (sqrt (/ (- 1 k) 2)) 2))))) 55.476 * * * * [progress]: [ 17 / 226 ] simplifiying candidate # 55.476 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) (cbrt 2)) 55.476 * * [simplify]: iters left: 6 (8 enodes) 55.479 * * [simplify]: iters left: 5 (30 enodes) 55.484 * * [simplify]: iters left: 4 (37 enodes) 55.494 * * [simplify]: Extracting #0: cost 1 inf + 0 55.495 * * [simplify]: Extracting #1: cost 6 inf + 0 55.495 * * [simplify]: Extracting #2: cost 12 inf + 0 55.495 * * [simplify]: Extracting #3: cost 11 inf + 405 55.495 * * [simplify]: Extracting #4: cost 10 inf + 407 55.495 * * [simplify]: Extracting #5: cost 4 inf + 1220 55.496 * * [simplify]: Extracting #6: cost 0 inf + 1869 55.496 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 55.496 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (* (cbrt 2) (cbrt 2))))))) 55.497 * * * * [progress]: [ 18 / 226 ] simplifiying candidate # 55.497 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2)) 55.497 * * [simplify]: iters left: 6 (9 enodes) 55.502 * * [simplify]: iters left: 5 (33 enodes) 55.513 * * [simplify]: iters left: 4 (43 enodes) 55.527 * * [simplify]: iters left: 3 (45 enodes) 55.542 * * [simplify]: Extracting #0: cost 1 inf + 0 55.542 * * [simplify]: Extracting #1: cost 8 inf + 0 55.542 * * [simplify]: Extracting #2: cost 16 inf + 0 55.543 * * [simplify]: Extracting #3: cost 16 inf + 284 55.543 * * [simplify]: Extracting #4: cost 11 inf + 610 55.543 * * [simplify]: Extracting #5: cost 8 inf + 815 55.544 * * [simplify]: Extracting #6: cost 0 inf + 2517 55.544 * [simplify]: Simplified to (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2)) 55.544 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2)))))) 55.545 * * * * [progress]: [ 19 / 226 ] simplifiying candidate # 55.545 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) 2) 55.545 * * [simplify]: iters left: 6 (8 enodes) 55.548 * * [simplify]: iters left: 5 (30 enodes) 55.553 * * [simplify]: iters left: 4 (40 enodes) 55.559 * * [simplify]: iters left: 3 (42 enodes) 55.565 * * [simplify]: Extracting #0: cost 1 inf + 0 55.565 * * [simplify]: Extracting #1: cost 8 inf + 0 55.565 * * [simplify]: Extracting #2: cost 12 inf + 82 55.565 * * [simplify]: Extracting #3: cost 13 inf + 405 55.566 * * [simplify]: Extracting #4: cost 12 inf + 407 55.566 * * [simplify]: Extracting #5: cost 5 inf + 1383 55.566 * * [simplify]: Extracting #6: cost 0 inf + 2195 55.566 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* 2 (cbrt 2))) 55.566 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) 1)) (/ (cbrt (- 1 k)) (* 2 (cbrt 2))))))) 55.566 * * * * [progress]: [ 20 / 226 ] simplifiying candidate # 55.567 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2)) 55.567 * * [simplify]: iters left: 6 (9 enodes) 55.569 * * [simplify]: iters left: 5 (33 enodes) 55.575 * * [simplify]: iters left: 4 (43 enodes) 55.582 * * [simplify]: iters left: 3 (45 enodes) 55.595 * * [simplify]: Extracting #0: cost 1 inf + 0 55.595 * * [simplify]: Extracting #1: cost 8 inf + 0 55.595 * * [simplify]: Extracting #2: cost 16 inf + 0 55.596 * * [simplify]: Extracting #3: cost 16 inf + 284 55.596 * * [simplify]: Extracting #4: cost 11 inf + 610 55.596 * * [simplify]: Extracting #5: cost 8 inf + 815 55.597 * * [simplify]: Extracting #6: cost 0 inf + 2517 55.598 * [simplify]: Simplified to (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2)) 55.598 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2)))))) 55.598 * * * * [progress]: [ 21 / 226 ] simplifiying candidate # 55.598 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) (sqrt 2)) 55.598 * * [simplify]: iters left: 6 (8 enodes) 55.603 * * [simplify]: iters left: 5 (30 enodes) 55.611 * * [simplify]: iters left: 4 (35 enodes) 55.617 * * [simplify]: Extracting #0: cost 1 inf + 0 55.617 * * [simplify]: Extracting #1: cost 6 inf + 0 55.617 * * [simplify]: Extracting #2: cost 8 inf + 42 55.617 * * [simplify]: Extracting #3: cost 11 inf + 83 55.617 * * [simplify]: Extracting #4: cost 10 inf + 85 55.617 * * [simplify]: Extracting #5: cost 4 inf + 658 55.618 * * [simplify]: Extracting #6: cost 0 inf + 1227 55.618 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 55.618 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (sqrt 2))) (/ (cbrt (- 1 k)) 2))))) 55.618 * * * * [progress]: [ 22 / 226 ] simplifiying candidate # 55.618 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) 2) 55.618 * * [simplify]: iters left: 6 (8 enodes) 55.621 * * [simplify]: iters left: 5 (30 enodes) 55.626 * * [simplify]: iters left: 4 (40 enodes) 55.632 * * [simplify]: iters left: 3 (42 enodes) 55.640 * * [simplify]: Extracting #0: cost 1 inf + 0 55.640 * * [simplify]: Extracting #1: cost 8 inf + 0 55.640 * * [simplify]: Extracting #2: cost 12 inf + 42 55.640 * * [simplify]: Extracting #3: cost 13 inf + 245 55.640 * * [simplify]: Extracting #4: cost 12 inf + 247 55.640 * * [simplify]: Extracting #5: cost 5 inf + 1143 55.641 * * [simplify]: Extracting #6: cost 0 inf + 1875 55.641 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* 2 (sqrt 2))) 55.641 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) 1)) (/ (cbrt (- 1 k)) (* 2 (sqrt 2))))))) 55.641 * * * * [progress]: [ 23 / 226 ] simplifiying candidate # 55.641 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) (cbrt 2)) 55.642 * * [simplify]: iters left: 6 (8 enodes) 55.644 * * [simplify]: iters left: 5 (30 enodes) 55.649 * * [simplify]: iters left: 4 (40 enodes) 55.657 * * [simplify]: iters left: 3 (42 enodes) 55.670 * * [simplify]: Extracting #0: cost 1 inf + 0 55.670 * * [simplify]: Extracting #1: cost 8 inf + 0 55.670 * * [simplify]: Extracting #2: cost 11 inf + 203 55.670 * * [simplify]: Extracting #3: cost 13 inf + 405 55.670 * * [simplify]: Extracting #4: cost 12 inf + 407 55.671 * * [simplify]: Extracting #5: cost 3 inf + 1789 55.671 * * [simplify]: Extracting #6: cost 0 inf + 2195 55.672 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (cbrt 2) 2)) 55.672 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (* (cbrt 2) 2)))))) 55.672 * * * * [progress]: [ 24 / 226 ] simplifiying candidate # 55.672 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) (sqrt 2)) 55.673 * * [simplify]: iters left: 6 (8 enodes) 55.677 * * [simplify]: iters left: 5 (30 enodes) 55.687 * * [simplify]: iters left: 4 (40 enodes) 55.699 * * [simplify]: iters left: 3 (42 enodes) 55.711 * * [simplify]: Extracting #0: cost 1 inf + 0 55.711 * * [simplify]: Extracting #1: cost 8 inf + 0 55.712 * * [simplify]: Extracting #2: cost 11 inf + 123 55.712 * * [simplify]: Extracting #3: cost 13 inf + 245 55.712 * * [simplify]: Extracting #4: cost 12 inf + 247 55.712 * * [simplify]: Extracting #5: cost 3 inf + 1509 55.713 * * [simplify]: Extracting #6: cost 0 inf + 1875 55.713 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (sqrt 2) 2)) 55.713 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (sqrt 2))) (/ (cbrt (- 1 k)) (* (sqrt 2) 2)))))) 55.714 * * * * [progress]: [ 25 / 226 ] simplifiying candidate # 55.714 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) 2) 55.714 * * [simplify]: iters left: 6 (7 enodes) 55.718 * * [simplify]: iters left: 5 (28 enodes) 55.728 * * [simplify]: iters left: 4 (35 enodes) 55.738 * * [simplify]: Extracting #0: cost 1 inf + 0 55.738 * * [simplify]: Extracting #1: cost 6 inf + 0 55.738 * * [simplify]: Extracting #2: cost 7 inf + 2 55.738 * * [simplify]: Extracting #3: cost 11 inf + 2 55.738 * * [simplify]: Extracting #4: cost 9 inf + 45 55.739 * * [simplify]: Extracting #5: cost 4 inf + 455 55.739 * * [simplify]: Extracting #6: cost 0 inf + 1066 55.739 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 4) 55.740 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4))))) 55.740 * * * * [progress]: [ 26 / 226 ] simplifiying candidate # 55.740 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2)) 55.740 * * [simplify]: iters left: 6 (8 enodes) 55.746 * * [simplify]: iters left: 5 (30 enodes) 55.756 * * [simplify]: iters left: 4 (37 enodes) 55.767 * * [simplify]: Extracting #0: cost 1 inf + 0 55.767 * * [simplify]: Extracting #1: cost 6 inf + 0 55.767 * * [simplify]: Extracting #2: cost 12 inf + 0 55.767 * * [simplify]: Extracting #3: cost 11 inf + 405 55.767 * * [simplify]: Extracting #4: cost 10 inf + 407 55.768 * * [simplify]: Extracting #5: cost 4 inf + 1100 55.768 * * [simplify]: Extracting #6: cost 0 inf + 1629 55.769 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 55.769 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))))))) 55.769 * * * * [progress]: [ 27 / 226 ] simplifiying candidate # 55.769 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2)) 55.769 * * [simplify]: iters left: 6 (9 enodes) 55.774 * * [simplify]: iters left: 5 (33 enodes) 55.788 * * [simplify]: iters left: 4 (43 enodes) 55.801 * * [simplify]: iters left: 3 (45 enodes) 55.815 * * [simplify]: Extracting #0: cost 1 inf + 0 55.815 * * [simplify]: Extracting #1: cost 8 inf + 0 55.815 * * [simplify]: Extracting #2: cost 16 inf + 0 55.815 * * [simplify]: Extracting #3: cost 16 inf + 284 55.815 * * [simplify]: Extracting #4: cost 11 inf + 610 55.815 * * [simplify]: Extracting #5: cost 8 inf + 775 55.816 * * [simplify]: Extracting #6: cost 0 inf + 2197 55.817 * [simplify]: Simplified to (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2)) 55.817 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2)))))) 55.817 * * * * [progress]: [ 28 / 226 ] simplifiying candidate # 55.817 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) 2) 55.817 * * [simplify]: iters left: 6 (8 enodes) 55.822 * * [simplify]: iters left: 5 (30 enodes) 55.832 * * [simplify]: iters left: 4 (40 enodes) 55.844 * * [simplify]: iters left: 3 (42 enodes) 55.857 * * [simplify]: Extracting #0: cost 1 inf + 0 55.857 * * [simplify]: Extracting #1: cost 8 inf + 0 55.857 * * [simplify]: Extracting #2: cost 12 inf + 82 55.857 * * [simplify]: Extracting #3: cost 13 inf + 405 55.857 * * [simplify]: Extracting #4: cost 12 inf + 407 55.858 * * [simplify]: Extracting #5: cost 5 inf + 1223 55.858 * * [simplify]: Extracting #6: cost 0 inf + 1875 55.859 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* 2 (cbrt 2))) 55.859 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (sqrt (- 1 k)) (* 2 (cbrt 2))))))) 55.859 * * * * [progress]: [ 29 / 226 ] simplifiying candidate # 55.859 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2)) 55.860 * * [simplify]: iters left: 6 (9 enodes) 55.865 * * [simplify]: iters left: 5 (33 enodes) 55.876 * * [simplify]: iters left: 4 (43 enodes) 55.890 * * [simplify]: iters left: 3 (45 enodes) 55.903 * * [simplify]: Extracting #0: cost 1 inf + 0 55.903 * * [simplify]: Extracting #1: cost 8 inf + 0 55.904 * * [simplify]: Extracting #2: cost 16 inf + 0 55.904 * * [simplify]: Extracting #3: cost 16 inf + 284 55.904 * * [simplify]: Extracting #4: cost 11 inf + 610 55.905 * * [simplify]: Extracting #5: cost 8 inf + 775 55.905 * * [simplify]: Extracting #6: cost 0 inf + 2197 55.906 * [simplify]: Simplified to (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2)) 55.906 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2)))))) 55.906 * * * * [progress]: [ 30 / 226 ] simplifiying candidate # 55.907 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2)) 55.907 * * [simplify]: iters left: 6 (8 enodes) 55.912 * * [simplify]: iters left: 5 (30 enodes) 55.922 * * [simplify]: iters left: 4 (35 enodes) 55.933 * * [simplify]: Extracting #0: cost 1 inf + 0 55.933 * * [simplify]: Extracting #1: cost 6 inf + 0 55.933 * * [simplify]: Extracting #2: cost 8 inf + 42 55.933 * * [simplify]: Extracting #3: cost 11 inf + 83 55.933 * * [simplify]: Extracting #4: cost 10 inf + 85 55.933 * * [simplify]: Extracting #5: cost 4 inf + 538 55.934 * * [simplify]: Extracting #6: cost 0 inf + 987 55.934 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 55.934 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))) (/ (sqrt (- 1 k)) 2))))) 55.934 * * * * [progress]: [ 31 / 226 ] simplifiying candidate # 55.935 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) 2) 55.935 * * [simplify]: iters left: 6 (8 enodes) 55.940 * * [simplify]: iters left: 5 (30 enodes) 55.952 * * [simplify]: iters left: 4 (40 enodes) 55.965 * * [simplify]: iters left: 3 (42 enodes) 55.977 * * [simplify]: Extracting #0: cost 1 inf + 0 55.977 * * [simplify]: Extracting #1: cost 8 inf + 0 55.977 * * [simplify]: Extracting #2: cost 12 inf + 42 55.977 * * [simplify]: Extracting #3: cost 13 inf + 245 55.977 * * [simplify]: Extracting #4: cost 12 inf + 247 55.978 * * [simplify]: Extracting #5: cost 5 inf + 983 55.978 * * [simplify]: Extracting #6: cost 0 inf + 1555 55.979 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* 2 (sqrt 2))) 55.979 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) 1)) (/ (sqrt (- 1 k)) (* 2 (sqrt 2))))))) 55.979 * * * * [progress]: [ 32 / 226 ] simplifiying candidate # 55.980 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) (cbrt 2)) 55.980 * * [simplify]: iters left: 6 (8 enodes) 55.985 * * [simplify]: iters left: 5 (30 enodes) 55.991 * * [simplify]: iters left: 4 (40 enodes) 55.997 * * [simplify]: iters left: 3 (42 enodes) 56.003 * * [simplify]: Extracting #0: cost 1 inf + 0 56.004 * * [simplify]: Extracting #1: cost 8 inf + 0 56.004 * * [simplify]: Extracting #2: cost 11 inf + 203 56.004 * * [simplify]: Extracting #3: cost 13 inf + 405 56.004 * * [simplify]: Extracting #4: cost 12 inf + 407 56.004 * * [simplify]: Extracting #5: cost 3 inf + 1549 56.004 * * [simplify]: Extracting #6: cost 0 inf + 1875 56.005 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (cbrt 2) 2)) 56.005 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (* (cbrt 2) 2)))))) 56.005 * * * * [progress]: [ 33 / 226 ] simplifiying candidate # 56.005 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) (sqrt 2)) 56.005 * * [simplify]: iters left: 6 (8 enodes) 56.008 * * [simplify]: iters left: 5 (30 enodes) 56.013 * * [simplify]: iters left: 4 (40 enodes) 56.020 * * [simplify]: iters left: 3 (42 enodes) 56.033 * * [simplify]: Extracting #0: cost 1 inf + 0 56.033 * * [simplify]: Extracting #1: cost 8 inf + 0 56.033 * * [simplify]: Extracting #2: cost 11 inf + 123 56.033 * * [simplify]: Extracting #3: cost 13 inf + 245 56.033 * * [simplify]: Extracting #4: cost 12 inf + 247 56.033 * * [simplify]: Extracting #5: cost 3 inf + 1269 56.034 * * [simplify]: Extracting #6: cost 0 inf + 1555 56.035 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (sqrt 2) 2)) 56.035 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (sqrt 2))) (/ (sqrt (- 1 k)) (* (sqrt 2) 2)))))) 56.035 * * * * [progress]: [ 34 / 226 ] simplifiying candidate # 56.035 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) 2) 56.035 * * [simplify]: iters left: 6 (7 enodes) 56.040 * * [simplify]: iters left: 5 (28 enodes) 56.049 * * [simplify]: iters left: 4 (35 enodes) 56.059 * * [simplify]: Extracting #0: cost 1 inf + 0 56.059 * * [simplify]: Extracting #1: cost 6 inf + 0 56.059 * * [simplify]: Extracting #2: cost 7 inf + 2 56.059 * * [simplify]: Extracting #3: cost 11 inf + 2 56.059 * * [simplify]: Extracting #4: cost 9 inf + 45 56.059 * * [simplify]: Extracting #5: cost 4 inf + 375 56.060 * * [simplify]: Extracting #6: cost 0 inf + 826 56.060 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 4) 56.060 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) 1)) (/ (sqrt (- 1 k)) 4))))) 56.060 * * * * [progress]: [ 35 / 226 ] simplifiying candidate # 56.061 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (cbrt 2)) 56.061 * * [simplify]: iters left: 6 (7 enodes) 56.065 * * [simplify]: iters left: 5 (30 enodes) 56.078 * * [simplify]: iters left: 4 (49 enodes) 56.093 * * [simplify]: iters left: 3 (59 enodes) 56.110 * * [simplify]: iters left: 2 (64 enodes) 56.128 * * [simplify]: Extracting #0: cost 1 inf + 0 56.128 * * [simplify]: Extracting #1: cost 9 inf + 0 56.128 * * [simplify]: Extracting #2: cost 23 inf + 0 56.128 * * [simplify]: Extracting #3: cost 24 inf + 3 56.129 * * [simplify]: Extracting #4: cost 15 inf + 980 56.130 * * [simplify]: Extracting #5: cost 1 inf + 3007 56.131 * * [simplify]: Extracting #6: cost 0 inf + 3169 56.132 * [simplify]: Simplified to (/ (- 1 k) (* (cbrt 2) (cbrt 2))) 56.132 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* (cbrt 2) (cbrt 2))))))) 56.132 * * * * [progress]: [ 36 / 226 ] simplifiying candidate # 56.132 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 56.132 * * [simplify]: iters left: 6 (8 enodes) 56.137 * * [simplify]: iters left: 5 (33 enodes) 56.149 * * [simplify]: iters left: 4 (55 enodes) 56.167 * * [simplify]: iters left: 3 (72 enodes) 56.188 * * [simplify]: iters left: 2 (84 enodes) 56.212 * * [simplify]: iters left: 1 (88 enodes) 56.239 * * [simplify]: Extracting #0: cost 1 inf + 0 56.239 * * [simplify]: Extracting #1: cost 11 inf + 0 56.239 * * [simplify]: Extracting #2: cost 30 inf + 0 56.240 * * [simplify]: Extracting #3: cost 33 inf + 84 56.240 * * [simplify]: Extracting #4: cost 12 inf + 2402 56.242 * * [simplify]: Extracting #5: cost 0 inf + 4469 56.243 * [simplify]: Simplified to (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 56.243 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)))))) 56.244 * * * * [progress]: [ 37 / 226 ] simplifiying candidate # 56.244 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) 2) 56.244 * * [simplify]: iters left: 6 (7 enodes) 56.249 * * [simplify]: iters left: 5 (30 enodes) 56.260 * * [simplify]: iters left: 4 (52 enodes) 56.277 * * [simplify]: iters left: 3 (70 enodes) 56.298 * * [simplify]: iters left: 2 (81 enodes) 56.309 * * [simplify]: iters left: 1 (84 enodes) 56.321 * * [simplify]: Extracting #0: cost 1 inf + 0 56.321 * * [simplify]: Extracting #1: cost 11 inf + 0 56.321 * * [simplify]: Extracting #2: cost 25 inf + 203 56.321 * * [simplify]: Extracting #3: cost 25 inf + 530 56.322 * * [simplify]: Extracting #4: cost 4 inf + 2936 56.322 * * [simplify]: Extracting #5: cost 0 inf + 3504 56.323 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (cbrt 2)) 56.323 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) 2) (cbrt 2)))))) 56.323 * * * * [progress]: [ 38 / 226 ] simplifiying candidate # 56.323 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 56.323 * * [simplify]: iters left: 6 (8 enodes) 56.326 * * [simplify]: iters left: 5 (33 enodes) 56.338 * * [simplify]: iters left: 4 (55 enodes) 56.356 * * [simplify]: iters left: 3 (72 enodes) 56.379 * * [simplify]: iters left: 2 (84 enodes) 56.401 * * [simplify]: iters left: 1 (88 enodes) 56.413 * * [simplify]: Extracting #0: cost 1 inf + 0 56.413 * * [simplify]: Extracting #1: cost 11 inf + 0 56.413 * * [simplify]: Extracting #2: cost 30 inf + 0 56.413 * * [simplify]: Extracting #3: cost 33 inf + 44 56.414 * * [simplify]: Extracting #4: cost 12 inf + 2362 56.414 * * [simplify]: Extracting #5: cost 0 inf + 4469 56.415 * [simplify]: Simplified to (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 56.415 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)))))) 56.415 * * * * [progress]: [ 39 / 226 ] simplifiying candidate # 56.415 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (sqrt 2)) 56.415 * * [simplify]: iters left: 6 (7 enodes) 56.418 * * [simplify]: iters left: 5 (30 enodes) 56.424 * * [simplify]: iters left: 4 (48 enodes) 56.432 * * [simplify]: iters left: 3 (56 enodes) 56.447 * * [simplify]: Extracting #0: cost 1 inf + 0 56.447 * * [simplify]: Extracting #1: cost 8 inf + 0 56.447 * * [simplify]: Extracting #2: cost 15 inf + 43 56.447 * * [simplify]: Extracting #3: cost 16 inf + 86 56.447 * * [simplify]: Extracting #4: cost 5 inf + 911 56.448 * * [simplify]: Extracting #5: cost 1 inf + 1198 56.448 * * [simplify]: Extracting #6: cost 0 inf + 1320 56.448 * [simplify]: Simplified to (/ (- 1 k) 2) 56.448 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (- 1 k) 2))))) 56.448 * * * * [progress]: [ 40 / 226 ] simplifiying candidate # 56.449 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) 2) 56.449 * * [simplify]: iters left: 6 (7 enodes) 56.451 * * [simplify]: iters left: 5 (30 enodes) 56.456 * * [simplify]: iters left: 4 (52 enodes) 56.466 * * [simplify]: iters left: 3 (70 enodes) 56.483 * * [simplify]: iters left: 2 (81 enodes) 56.506 * * [simplify]: iters left: 1 (84 enodes) 56.528 * * [simplify]: Extracting #0: cost 1 inf + 0 56.528 * * [simplify]: Extracting #1: cost 11 inf + 0 56.528 * * [simplify]: Extracting #2: cost 25 inf + 123 56.528 * * [simplify]: Extracting #3: cost 25 inf + 330 56.529 * * [simplify]: Extracting #4: cost 4 inf + 2256 56.531 * * [simplify]: Extracting #5: cost 0 inf + 2704 56.532 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (sqrt 2)) 56.532 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) 2) (sqrt 2)))))) 56.532 * * * * [progress]: [ 41 / 226 ] simplifiying candidate # 56.532 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2)) 56.533 * * [simplify]: iters left: 6 (7 enodes) 56.537 * * [simplify]: iters left: 5 (31 enodes) 56.549 * * [simplify]: iters left: 4 (51 enodes) 56.565 * * [simplify]: iters left: 3 (64 enodes) 56.584 * * [simplify]: iters left: 2 (77 enodes) 56.596 * * [simplify]: iters left: 1 (84 enodes) 56.608 * * [simplify]: Extracting #0: cost 1 inf + 0 56.608 * * [simplify]: Extracting #1: cost 11 inf + 0 56.608 * * [simplify]: Extracting #2: cost 26 inf + 82 56.608 * * [simplify]: Extracting #3: cost 24 inf + 692 56.609 * * [simplify]: Extracting #4: cost 3 inf + 3057 56.611 * * [simplify]: Extracting #5: cost 0 inf + 3504 56.611 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2))) 56.611 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* 2 (cbrt 2))))))) 56.612 * * * * [progress]: [ 42 / 226 ] simplifiying candidate # 56.612 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2)) 56.612 * * [simplify]: iters left: 6 (7 enodes) 56.614 * * [simplify]: iters left: 5 (31 enodes) 56.620 * * [simplify]: iters left: 4 (51 enodes) 56.634 * * [simplify]: iters left: 3 (64 enodes) 56.653 * * [simplify]: iters left: 2 (77 enodes) 56.674 * * [simplify]: iters left: 1 (84 enodes) 56.696 * * [simplify]: Extracting #0: cost 1 inf + 0 56.696 * * [simplify]: Extracting #1: cost 11 inf + 0 56.697 * * [simplify]: Extracting #2: cost 26 inf + 42 56.697 * * [simplify]: Extracting #3: cost 24 inf + 452 56.698 * * [simplify]: Extracting #4: cost 3 inf + 2337 56.699 * * [simplify]: Extracting #5: cost 0 inf + 2704 56.700 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2))) 56.700 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2))))))) 56.700 * * * * [progress]: [ 43 / 226 ] simplifiying candidate # 56.701 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2) 56.701 * * [simplify]: iters left: 6 (6 enodes) 56.705 * * [simplify]: iters left: 5 (29 enodes) 56.711 * * [simplify]: iters left: 4 (44 enodes) 56.718 * * [simplify]: iters left: 3 (50 enodes) 56.726 * * [simplify]: iters left: 2 (57 enodes) 56.736 * * [simplify]: Extracting #0: cost 1 inf + 0 56.736 * * [simplify]: Extracting #1: cost 9 inf + 0 56.736 * * [simplify]: Extracting #2: cost 15 inf + 3 56.736 * * [simplify]: Extracting #3: cost 11 inf + 131 56.736 * * [simplify]: Extracting #4: cost 2 inf + 711 56.737 * * [simplify]: Extracting #5: cost 0 inf + 836 56.737 * [simplify]: Simplified to (- 1/4 (/ k 4)) 56.737 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) (- 1/4 (/ k 4)))))) 56.737 * * * * [progress]: [ 44 / 226 ] simplifiying candidate # 56.737 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (cbrt 2)) 56.737 * * [simplify]: iters left: 6 (9 enodes) 56.740 * * [simplify]: iters left: 5 (36 enodes) 56.746 * * [simplify]: iters left: 4 (58 enodes) 56.755 * * [simplify]: iters left: 3 (71 enodes) 56.773 * * [simplify]: iters left: 2 (79 enodes) 56.793 * * [simplify]: iters left: 1 (80 enodes) 56.814 * * [simplify]: Extracting #0: cost 1 inf + 0 56.814 * * [simplify]: Extracting #1: cost 9 inf + 0 56.814 * * [simplify]: Extracting #2: cost 24 inf + 0 56.814 * * [simplify]: Extracting #3: cost 29 inf + 2 56.815 * * [simplify]: Extracting #4: cost 10 inf + 2233 56.816 * * [simplify]: Extracting #5: cost 1 inf + 4013 56.817 * * [simplify]: Extracting #6: cost 0 inf + 4135 56.819 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 56.819 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2))))))) 56.819 * * * * [progress]: [ 45 / 226 ] simplifiying candidate # 56.819 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (sqrt 2)) 56.819 * * [simplify]: iters left: 6 (10 enodes) 56.824 * * [simplify]: iters left: 5 (39 enodes) 56.831 * * [simplify]: iters left: 4 (64 enodes) 56.841 * * [simplify]: iters left: 3 (86 enodes) 56.861 * * [simplify]: iters left: 2 (99 enodes) 56.887 * * [simplify]: iters left: 1 (104 enodes) 56.903 * * [simplify]: Extracting #0: cost 1 inf + 0 56.903 * * [simplify]: Extracting #1: cost 11 inf + 0 56.903 * * [simplify]: Extracting #2: cost 31 inf + 0 56.903 * * [simplify]: Extracting #3: cost 39 inf + 2 56.903 * * [simplify]: Extracting #4: cost 22 inf + 1871 56.904 * * [simplify]: Extracting #5: cost 4 inf + 4865 56.905 * * [simplify]: Extracting #6: cost 0 inf + 5675 56.906 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2))) 56.906 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2))))))) 56.906 * * * * [progress]: [ 46 / 226 ] simplifiying candidate # 56.907 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2) 56.907 * * [simplify]: iters left: 6 (9 enodes) 56.910 * * [simplify]: iters left: 5 (36 enodes) 56.916 * * [simplify]: iters left: 4 (61 enodes) 56.926 * * [simplify]: iters left: 3 (84 enodes) 56.938 * * [simplify]: iters left: 2 (96 enodes) 56.952 * * [simplify]: iters left: 1 (100 enodes) 56.974 * * [simplify]: Extracting #0: cost 1 inf + 0 56.974 * * [simplify]: Extracting #1: cost 11 inf + 0 56.974 * * [simplify]: Extracting #2: cost 27 inf + 82 56.974 * * [simplify]: Extracting #3: cost 29 inf + 651 56.974 * * [simplify]: Extracting #4: cost 12 inf + 2763 56.975 * * [simplify]: Extracting #5: cost 1 inf + 4587 56.976 * * [simplify]: Extracting #6: cost 0 inf + 4710 56.977 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (cbrt 2))) 56.977 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (- 1 (sqrt k)) (* 2 (cbrt 2))))))) 56.977 * * * * [progress]: [ 47 / 226 ] simplifiying candidate # 56.977 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (cbrt 2)) 56.977 * * [simplify]: iters left: 6 (10 enodes) 56.981 * * [simplify]: iters left: 5 (39 enodes) 56.988 * * [simplify]: iters left: 4 (64 enodes) 56.998 * * [simplify]: iters left: 3 (86 enodes) 57.022 * * [simplify]: iters left: 2 (99 enodes) 57.049 * * [simplify]: iters left: 1 (104 enodes) 57.079 * * [simplify]: Extracting #0: cost 1 inf + 0 57.079 * * [simplify]: Extracting #1: cost 11 inf + 0 57.079 * * [simplify]: Extracting #2: cost 31 inf + 0 57.079 * * [simplify]: Extracting #3: cost 39 inf + 2 57.080 * * [simplify]: Extracting #4: cost 22 inf + 1831 57.081 * * [simplify]: Extracting #5: cost 4 inf + 4785 57.083 * * [simplify]: Extracting #6: cost 0 inf + 5595 57.085 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2))) 57.085 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2))))))) 57.086 * * * * [progress]: [ 48 / 226 ] simplifiying candidate # 57.086 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2)) 57.086 * * [simplify]: iters left: 6 (9 enodes) 57.092 * * [simplify]: iters left: 5 (36 enodes) 57.104 * * [simplify]: iters left: 4 (57 enodes) 57.123 * * [simplify]: iters left: 3 (73 enodes) 57.143 * * [simplify]: iters left: 2 (80 enodes) 57.155 * * [simplify]: iters left: 1 (81 enodes) 57.166 * * [simplify]: Extracting #0: cost 1 inf + 0 57.166 * * [simplify]: Extracting #1: cost 9 inf + 0 57.166 * * [simplify]: Extracting #2: cost 18 inf + 43 57.166 * * [simplify]: Extracting #3: cost 23 inf + 85 57.166 * * [simplify]: Extracting #4: cost 9 inf + 1271 57.167 * * [simplify]: Extracting #5: cost 0 inf + 2370 57.167 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 57.167 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (- 1 (sqrt k)) 2))))) 57.167 * * * * [progress]: [ 49 / 226 ] simplifiying candidate # 57.168 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2) 57.168 * * [simplify]: iters left: 6 (9 enodes) 57.171 * * [simplify]: iters left: 5 (36 enodes) 57.181 * * [simplify]: iters left: 4 (61 enodes) 57.200 * * [simplify]: iters left: 3 (84 enodes) 57.226 * * [simplify]: iters left: 2 (96 enodes) 57.245 * * [simplify]: iters left: 1 (100 enodes) 57.268 * * [simplify]: Extracting #0: cost 1 inf + 0 57.269 * * [simplify]: Extracting #1: cost 11 inf + 0 57.269 * * [simplify]: Extracting #2: cost 27 inf + 42 57.269 * * [simplify]: Extracting #3: cost 29 inf + 411 57.270 * * [simplify]: Extracting #4: cost 12 inf + 2163 57.271 * * [simplify]: Extracting #5: cost 1 inf + 3707 57.273 * * [simplify]: Extracting #6: cost 0 inf + 3830 57.274 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (sqrt 2))) 57.274 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) 1)) (/ (- 1 (sqrt k)) (* 2 (sqrt 2))))))) 57.275 * * * * [progress]: [ 50 / 226 ] simplifiying candidate # 57.275 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) (cbrt 2)) 57.275 * * [simplify]: iters left: 6 (9 enodes) 57.281 * * [simplify]: iters left: 5 (36 enodes) 57.293 * * [simplify]: iters left: 4 (62 enodes) 57.302 * * [simplify]: iters left: 3 (78 enodes) 57.316 * * [simplify]: iters left: 2 (90 enodes) 57.341 * * [simplify]: iters left: 1 (94 enodes) 57.367 * * [simplify]: Extracting #0: cost 1 inf + 0 57.368 * * [simplify]: Extracting #1: cost 11 inf + 0 57.368 * * [simplify]: Extracting #2: cost 27 inf + 1 57.368 * * [simplify]: Extracting #3: cost 29 inf + 409 57.369 * * [simplify]: Extracting #4: cost 12 inf + 2359 57.370 * * [simplify]: Extracting #5: cost 2 inf + 4022 57.371 * * [simplify]: Extracting #6: cost 0 inf + 4466 57.373 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) 2)) 57.373 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) 2)))))) 57.373 * * * * [progress]: [ 51 / 226 ] simplifiying candidate # 57.374 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) (sqrt 2)) 57.374 * * [simplify]: iters left: 6 (9 enodes) 57.379 * * [simplify]: iters left: 5 (36 enodes) 57.393 * * [simplify]: iters left: 4 (62 enodes) 57.411 * * [simplify]: iters left: 3 (78 enodes) 57.432 * * [simplify]: iters left: 2 (90 enodes) 57.457 * * [simplify]: iters left: 1 (94 enodes) 57.481 * * [simplify]: Extracting #0: cost 1 inf + 0 57.481 * * [simplify]: Extracting #1: cost 11 inf + 0 57.481 * * [simplify]: Extracting #2: cost 27 inf + 1 57.481 * * [simplify]: Extracting #3: cost 29 inf + 249 57.482 * * [simplify]: Extracting #4: cost 12 inf + 1879 57.483 * * [simplify]: Extracting #5: cost 2 inf + 3302 57.485 * * [simplify]: Extracting #6: cost 0 inf + 3666 57.486 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) 2)) 57.486 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (sqrt 2))) (/ (- 1 (sqrt k)) (* (sqrt 2) 2)))))) 57.486 * * * * [progress]: [ 52 / 226 ] simplifiying candidate # 57.487 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) 2) 57.487 * * [simplify]: iters left: 6 (8 enodes) 57.491 * * [simplify]: iters left: 5 (34 enodes) 57.501 * * [simplify]: iters left: 4 (58 enodes) 57.509 * * [simplify]: iters left: 3 (65 enodes) 57.519 * * [simplify]: Extracting #0: cost 1 inf + 0 57.519 * * [simplify]: Extracting #1: cost 8 inf + 0 57.519 * * [simplify]: Extracting #2: cost 14 inf + 3 57.519 * * [simplify]: Extracting #3: cost 17 inf + 5 57.520 * * [simplify]: Extracting #4: cost 12 inf + 292 57.520 * * [simplify]: Extracting #5: cost 1 inf + 1355 57.521 * * [simplify]: Extracting #6: cost 0 inf + 1478 57.521 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 4) 57.521 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) 1)) (/ (- 1 (sqrt k)) 4))))) 57.522 * * * * [progress]: [ 53 / 226 ] simplifiying candidate # 57.522 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) (cbrt 2)) 57.522 * * [simplify]: iters left: 6 (8 enodes) 57.527 * * [simplify]: iters left: 5 (33 enodes) 57.539 * * [simplify]: iters left: 4 (52 enodes) 57.556 * * [simplify]: iters left: 3 (62 enodes) 57.574 * * [simplify]: iters left: 2 (67 enodes) 57.593 * * [simplify]: Extracting #0: cost 1 inf + 0 57.593 * * [simplify]: Extracting #1: cost 9 inf + 0 57.593 * * [simplify]: Extracting #2: cost 23 inf + 0 57.593 * * [simplify]: Extracting #3: cost 24 inf + 285 57.594 * * [simplify]: Extracting #4: cost 18 inf + 975 57.594 * * [simplify]: Extracting #5: cost 7 inf + 2516 57.595 * * [simplify]: Extracting #6: cost 0 inf + 3891 57.597 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 57.597 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2))))))) 57.597 * * * * [progress]: [ 54 / 226 ] simplifiying candidate # 57.597 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) (sqrt 2)) 57.597 * * [simplify]: iters left: 6 (9 enodes) 57.603 * * [simplify]: iters left: 5 (36 enodes) 57.617 * * [simplify]: iters left: 4 (58 enodes) 57.635 * * [simplify]: iters left: 3 (75 enodes) 57.660 * * [simplify]: iters left: 2 (87 enodes) 57.674 * * [simplify]: iters left: 1 (91 enodes) 57.686 * * [simplify]: Extracting #0: cost 1 inf + 0 57.686 * * [simplify]: Extracting #1: cost 11 inf + 0 57.686 * * [simplify]: Extracting #2: cost 30 inf + 0 57.686 * * [simplify]: Extracting #3: cost 36 inf + 83 57.686 * * [simplify]: Extracting #4: cost 30 inf + 451 57.687 * * [simplify]: Extracting #5: cost 10 inf + 3649 57.687 * * [simplify]: Extracting #6: cost 0 inf + 5431 57.688 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2))) 57.688 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2))))))) 57.689 * * * * [progress]: [ 55 / 226 ] simplifiying candidate # 57.689 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) 2) 57.689 * * [simplify]: iters left: 6 (8 enodes) 57.693 * * [simplify]: iters left: 5 (33 enodes) 57.705 * * [simplify]: iters left: 4 (55 enodes) 57.723 * * [simplify]: iters left: 3 (73 enodes) 57.745 * * [simplify]: iters left: 2 (84 enodes) 57.770 * * [simplify]: iters left: 1 (87 enodes) 57.791 * * [simplify]: Extracting #0: cost 1 inf + 0 57.791 * * [simplify]: Extracting #1: cost 11 inf + 0 57.791 * * [simplify]: Extracting #2: cost 25 inf + 203 57.791 * * [simplify]: Extracting #3: cost 29 inf + 407 57.791 * * [simplify]: Extracting #4: cost 24 inf + 896 57.792 * * [simplify]: Extracting #5: cost 9 inf + 2805 57.792 * * [simplify]: Extracting #6: cost 0 inf + 4466 57.793 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (cbrt 2))) 57.793 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (- 1 (sqrt k)) (* 2 (cbrt 2))))))) 57.793 * * * * [progress]: [ 56 / 226 ] simplifiying candidate # 57.793 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) (cbrt 2)) 57.793 * * [simplify]: iters left: 6 (9 enodes) 57.797 * * [simplify]: iters left: 5 (36 enodes) 57.803 * * [simplify]: iters left: 4 (58 enodes) 57.813 * * [simplify]: iters left: 3 (75 enodes) 57.830 * * [simplify]: iters left: 2 (87 enodes) 57.850 * * [simplify]: iters left: 1 (91 enodes) 57.862 * * [simplify]: Extracting #0: cost 1 inf + 0 57.862 * * [simplify]: Extracting #1: cost 11 inf + 0 57.862 * * [simplify]: Extracting #2: cost 30 inf + 0 57.862 * * [simplify]: Extracting #3: cost 36 inf + 43 57.862 * * [simplify]: Extracting #4: cost 30 inf + 451 57.863 * * [simplify]: Extracting #5: cost 10 inf + 3769 57.864 * * [simplify]: Extracting #6: cost 0 inf + 5431 57.864 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2))) 57.864 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2))))))) 57.865 * * * * [progress]: [ 57 / 226 ] simplifiying candidate # 57.865 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) (sqrt 2)) 57.865 * * [simplify]: iters left: 6 (8 enodes) 57.867 * * [simplify]: iters left: 5 (33 enodes) 57.874 * * [simplify]: iters left: 4 (51 enodes) 57.891 * * [simplify]: iters left: 3 (59 enodes) 57.907 * * [simplify]: Extracting #0: cost 1 inf + 0 57.907 * * [simplify]: Extracting #1: cost 8 inf + 0 57.907 * * [simplify]: Extracting #2: cost 15 inf + 43 57.907 * * [simplify]: Extracting #3: cost 19 inf + 85 57.907 * * [simplify]: Extracting #4: cost 16 inf + 250 57.908 * * [simplify]: Extracting #5: cost 5 inf + 1311 57.909 * * [simplify]: Extracting #6: cost 0 inf + 1962 57.909 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 57.909 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (- 1 (sqrt k)) 2))))) 57.910 * * * * [progress]: [ 58 / 226 ] simplifiying candidate # 57.910 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) 2) 57.910 * * [simplify]: iters left: 6 (8 enodes) 57.915 * * [simplify]: iters left: 5 (33 enodes) 57.926 * * [simplify]: iters left: 4 (55 enodes) 57.944 * * [simplify]: iters left: 3 (73 enodes) 57.964 * * [simplify]: iters left: 2 (84 enodes) 57.986 * * [simplify]: iters left: 1 (87 enodes) 57.998 * * [simplify]: Extracting #0: cost 1 inf + 0 57.998 * * [simplify]: Extracting #1: cost 11 inf + 0 57.999 * * [simplify]: Extracting #2: cost 25 inf + 123 57.999 * * [simplify]: Extracting #3: cost 29 inf + 247 57.999 * * [simplify]: Extracting #4: cost 24 inf + 576 57.999 * * [simplify]: Extracting #5: cost 9 inf + 2245 58.000 * * [simplify]: Extracting #6: cost 0 inf + 3666 58.001 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (sqrt 2))) 58.001 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) 1)) (/ (- 1 (sqrt k)) (* 2 (sqrt 2))))))) 58.001 * * * * [progress]: [ 59 / 226 ] simplifiying candidate # 58.001 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) (cbrt 2)) 58.001 * * [simplify]: iters left: 6 (8 enodes) 58.004 * * [simplify]: iters left: 5 (34 enodes) 58.010 * * [simplify]: iters left: 4 (54 enodes) 58.025 * * [simplify]: iters left: 3 (67 enodes) 58.041 * * [simplify]: iters left: 2 (80 enodes) 58.053 * * [simplify]: iters left: 1 (87 enodes) 58.064 * * [simplify]: Extracting #0: cost 1 inf + 0 58.064 * * [simplify]: Extracting #1: cost 11 inf + 0 58.064 * * [simplify]: Extracting #2: cost 25 inf + 203 58.065 * * [simplify]: Extracting #3: cost 26 inf + 773 58.065 * * [simplify]: Extracting #4: cost 24 inf + 896 58.066 * * [simplify]: Extracting #5: cost 8 inf + 3127 58.067 * * [simplify]: Extracting #6: cost 0 inf + 4466 58.068 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) 2)) 58.068 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) 2)))))) 58.069 * * * * [progress]: [ 60 / 226 ] simplifiying candidate # 58.069 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) (sqrt 2)) 58.069 * * [simplify]: iters left: 6 (8 enodes) 58.074 * * [simplify]: iters left: 5 (34 enodes) 58.086 * * [simplify]: iters left: 4 (54 enodes) 58.094 * * [simplify]: iters left: 3 (67 enodes) 58.105 * * [simplify]: iters left: 2 (80 enodes) 58.120 * * [simplify]: iters left: 1 (87 enodes) 58.141 * * [simplify]: Extracting #0: cost 1 inf + 0 58.141 * * [simplify]: Extracting #1: cost 11 inf + 0 58.141 * * [simplify]: Extracting #2: cost 25 inf + 123 58.141 * * [simplify]: Extracting #3: cost 26 inf + 493 58.142 * * [simplify]: Extracting #4: cost 24 inf + 576 58.142 * * [simplify]: Extracting #5: cost 8 inf + 2527 58.143 * * [simplify]: Extracting #6: cost 0 inf + 3666 58.143 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) 2)) 58.143 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (sqrt 2))) (/ (- 1 (sqrt k)) (* (sqrt 2) 2)))))) 58.144 * * * * [progress]: [ 61 / 226 ] simplifiying candidate # 58.144 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) 2) 58.144 * * [simplify]: iters left: 6 (7 enodes) 58.146 * * [simplify]: iters left: 5 (32 enodes) 58.152 * * [simplify]: iters left: 4 (50 enodes) 58.160 * * [simplify]: iters left: 3 (54 enodes) 58.169 * * [simplify]: Extracting #0: cost 1 inf + 0 58.169 * * [simplify]: Extracting #1: cost 8 inf + 0 58.170 * * [simplify]: Extracting #2: cost 13 inf + 3 58.170 * * [simplify]: Extracting #3: cost 15 inf + 5 58.170 * * [simplify]: Extracting #4: cost 14 inf + 6 58.170 * * [simplify]: Extracting #5: cost 4 inf + 825 58.171 * * [simplify]: Extracting #6: cost 0 inf + 1234 58.171 * [simplify]: Simplified to (- 1/4 (/ (sqrt k) 4)) 58.171 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 1)) (- 1/4 (/ (sqrt k) 4)))))) 58.171 * * * * [progress]: [ 62 / 226 ] simplifiying candidate # 58.172 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (cbrt 2)) 58.172 * * [simplify]: iters left: 6 (7 enodes) 58.176 * * [simplify]: iters left: 5 (30 enodes) 58.186 * * [simplify]: iters left: 4 (49 enodes) 58.202 * * [simplify]: iters left: 3 (59 enodes) 58.215 * * [simplify]: iters left: 2 (64 enodes) 58.224 * * [simplify]: Extracting #0: cost 1 inf + 0 58.224 * * [simplify]: Extracting #1: cost 9 inf + 0 58.224 * * [simplify]: Extracting #2: cost 23 inf + 0 58.224 * * [simplify]: Extracting #3: cost 24 inf + 3 58.224 * * [simplify]: Extracting #4: cost 15 inf + 980 58.225 * * [simplify]: Extracting #5: cost 1 inf + 3007 58.225 * * [simplify]: Extracting #6: cost 0 inf + 3169 58.226 * [simplify]: Simplified to (/ (- 1 k) (* (cbrt 2) (cbrt 2))) 58.226 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* (cbrt 2) (cbrt 2))))))) 58.226 * * * * [progress]: [ 63 / 226 ] simplifiying candidate # 58.226 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 58.226 * * [simplify]: iters left: 6 (8 enodes) 58.231 * * [simplify]: iters left: 5 (33 enodes) 58.237 * * [simplify]: iters left: 4 (55 enodes) 58.255 * * [simplify]: iters left: 3 (72 enodes) 58.276 * * [simplify]: iters left: 2 (84 enodes) 58.299 * * [simplify]: iters left: 1 (88 enodes) 58.322 * * [simplify]: Extracting #0: cost 1 inf + 0 58.322 * * [simplify]: Extracting #1: cost 11 inf + 0 58.322 * * [simplify]: Extracting #2: cost 30 inf + 0 58.323 * * [simplify]: Extracting #3: cost 33 inf + 84 58.323 * * [simplify]: Extracting #4: cost 12 inf + 2402 58.325 * * [simplify]: Extracting #5: cost 0 inf + 4469 58.326 * [simplify]: Simplified to (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 58.326 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)))))) 58.326 * * * * [progress]: [ 64 / 226 ] simplifiying candidate # 58.327 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) 2) 58.327 * * [simplify]: iters left: 6 (7 enodes) 58.331 * * [simplify]: iters left: 5 (30 enodes) 58.342 * * [simplify]: iters left: 4 (52 enodes) 58.358 * * [simplify]: iters left: 3 (70 enodes) 58.372 * * [simplify]: iters left: 2 (81 enodes) 58.384 * * [simplify]: iters left: 1 (84 enodes) 58.397 * * [simplify]: Extracting #0: cost 1 inf + 0 58.397 * * [simplify]: Extracting #1: cost 11 inf + 0 58.398 * * [simplify]: Extracting #2: cost 25 inf + 203 58.398 * * [simplify]: Extracting #3: cost 25 inf + 530 58.398 * * [simplify]: Extracting #4: cost 4 inf + 2936 58.399 * * [simplify]: Extracting #5: cost 0 inf + 3504 58.399 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (cbrt 2)) 58.399 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) 2) (cbrt 2)))))) 58.399 * * * * [progress]: [ 65 / 226 ] simplifiying candidate # 58.400 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 58.400 * * [simplify]: iters left: 6 (8 enodes) 58.403 * * [simplify]: iters left: 5 (33 enodes) 58.409 * * [simplify]: iters left: 4 (55 enodes) 58.419 * * [simplify]: iters left: 3 (72 enodes) 58.430 * * [simplify]: iters left: 2 (84 enodes) 58.446 * * [simplify]: iters left: 1 (88 enodes) 58.458 * * [simplify]: Extracting #0: cost 1 inf + 0 58.458 * * [simplify]: Extracting #1: cost 11 inf + 0 58.460 * * [simplify]: Extracting #2: cost 30 inf + 0 58.460 * * [simplify]: Extracting #3: cost 33 inf + 44 58.460 * * [simplify]: Extracting #4: cost 12 inf + 2362 58.461 * * [simplify]: Extracting #5: cost 0 inf + 4469 58.462 * [simplify]: Simplified to (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 58.462 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)))))) 58.462 * * * * [progress]: [ 66 / 226 ] simplifiying candidate # 58.462 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (sqrt 2)) 58.462 * * [simplify]: iters left: 6 (7 enodes) 58.465 * * [simplify]: iters left: 5 (30 enodes) 58.471 * * [simplify]: iters left: 4 (48 enodes) 58.485 * * [simplify]: iters left: 3 (56 enodes) 58.497 * * [simplify]: Extracting #0: cost 1 inf + 0 58.497 * * [simplify]: Extracting #1: cost 8 inf + 0 58.497 * * [simplify]: Extracting #2: cost 15 inf + 43 58.497 * * [simplify]: Extracting #3: cost 16 inf + 86 58.498 * * [simplify]: Extracting #4: cost 5 inf + 911 58.498 * * [simplify]: Extracting #5: cost 1 inf + 1198 58.498 * * [simplify]: Extracting #6: cost 0 inf + 1320 58.499 * [simplify]: Simplified to (/ (- 1 k) 2) 58.499 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (- 1 k) 2))))) 58.499 * * * * [progress]: [ 67 / 226 ] simplifiying candidate # 58.499 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) 2) 58.499 * * [simplify]: iters left: 6 (7 enodes) 58.501 * * [simplify]: iters left: 5 (30 enodes) 58.507 * * [simplify]: iters left: 4 (52 enodes) 58.515 * * [simplify]: iters left: 3 (70 enodes) 58.529 * * [simplify]: iters left: 2 (81 enodes) 58.551 * * [simplify]: iters left: 1 (84 enodes) 58.563 * * [simplify]: Extracting #0: cost 1 inf + 0 58.563 * * [simplify]: Extracting #1: cost 11 inf + 0 58.563 * * [simplify]: Extracting #2: cost 25 inf + 123 58.563 * * [simplify]: Extracting #3: cost 25 inf + 330 58.564 * * [simplify]: Extracting #4: cost 4 inf + 2256 58.564 * * [simplify]: Extracting #5: cost 0 inf + 2704 58.565 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (sqrt 2)) 58.565 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) 2) (sqrt 2)))))) 58.565 * * * * [progress]: [ 68 / 226 ] simplifiying candidate # 58.567 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2)) 58.567 * * [simplify]: iters left: 6 (7 enodes) 58.570 * * [simplify]: iters left: 5 (31 enodes) 58.575 * * [simplify]: iters left: 4 (51 enodes) 58.585 * * [simplify]: iters left: 3 (64 enodes) 58.604 * * [simplify]: iters left: 2 (77 enodes) 58.625 * * [simplify]: iters left: 1 (84 enodes) 58.647 * * [simplify]: Extracting #0: cost 1 inf + 0 58.648 * * [simplify]: Extracting #1: cost 11 inf + 0 58.648 * * [simplify]: Extracting #2: cost 26 inf + 82 58.648 * * [simplify]: Extracting #3: cost 24 inf + 692 58.649 * * [simplify]: Extracting #4: cost 3 inf + 3057 58.650 * * [simplify]: Extracting #5: cost 0 inf + 3504 58.651 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2))) 58.651 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* 2 (cbrt 2))))))) 58.652 * * * * [progress]: [ 69 / 226 ] simplifiying candidate # 58.652 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2)) 58.652 * * [simplify]: iters left: 6 (7 enodes) 58.657 * * [simplify]: iters left: 5 (31 enodes) 58.668 * * [simplify]: iters left: 4 (51 enodes) 58.681 * * [simplify]: iters left: 3 (64 enodes) 58.691 * * [simplify]: iters left: 2 (77 enodes) 58.704 * * [simplify]: iters left: 1 (84 enodes) 58.723 * * [simplify]: Extracting #0: cost 1 inf + 0 58.723 * * [simplify]: Extracting #1: cost 11 inf + 0 58.723 * * [simplify]: Extracting #2: cost 26 inf + 42 58.723 * * [simplify]: Extracting #3: cost 24 inf + 452 58.724 * * [simplify]: Extracting #4: cost 3 inf + 2337 58.724 * * [simplify]: Extracting #5: cost 0 inf + 2704 58.725 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2))) 58.725 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2))))))) 58.725 * * * * [progress]: [ 70 / 226 ] simplifiying candidate # 58.725 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2) 58.725 * * [simplify]: iters left: 6 (6 enodes) 58.728 * * [simplify]: iters left: 5 (29 enodes) 58.733 * * [simplify]: iters left: 4 (44 enodes) 58.740 * * [simplify]: iters left: 3 (50 enodes) 58.747 * * [simplify]: iters left: 2 (57 enodes) 58.762 * * [simplify]: Extracting #0: cost 1 inf + 0 58.762 * * [simplify]: Extracting #1: cost 9 inf + 0 58.762 * * [simplify]: Extracting #2: cost 15 inf + 3 58.762 * * [simplify]: Extracting #3: cost 11 inf + 131 58.762 * * [simplify]: Extracting #4: cost 2 inf + 711 58.763 * * [simplify]: Extracting #5: cost 0 inf + 836 58.763 * [simplify]: Simplified to (- 1/4 (/ k 4)) 58.763 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) (- 1/4 (/ k 4)))))) 58.763 * * * * [progress]: [ 71 / 226 ] simplifiying candidate # 58.764 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2)) 58.764 * * [simplify]: iters left: 6 (7 enodes) 58.769 * * [simplify]: iters left: 5 (31 enodes) 58.780 * * [simplify]: iters left: 4 (51 enodes) 58.795 * * [simplify]: iters left: 3 (64 enodes) 58.814 * * [simplify]: iters left: 2 (77 enodes) 58.838 * * [simplify]: iters left: 1 (84 enodes) 58.861 * * [simplify]: Extracting #0: cost 1 inf + 0 58.861 * * [simplify]: Extracting #1: cost 11 inf + 0 58.861 * * [simplify]: Extracting #2: cost 26 inf + 82 58.861 * * [simplify]: Extracting #3: cost 24 inf + 692 58.862 * * [simplify]: Extracting #4: cost 3 inf + 3057 58.863 * * [simplify]: Extracting #5: cost 0 inf + 3504 58.865 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2))) 58.865 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* 2 (cbrt 2))))))) 58.865 * * * * [progress]: [ 72 / 226 ] simplifiying candidate # 58.865 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2)) 58.865 * * [simplify]: iters left: 6 (7 enodes) 58.870 * * [simplify]: iters left: 5 (31 enodes) 58.882 * * [simplify]: iters left: 4 (51 enodes) 58.897 * * [simplify]: iters left: 3 (64 enodes) 58.917 * * [simplify]: iters left: 2 (77 enodes) 58.939 * * [simplify]: iters left: 1 (84 enodes) 58.960 * * [simplify]: Extracting #0: cost 1 inf + 0 58.961 * * [simplify]: Extracting #1: cost 11 inf + 0 58.961 * * [simplify]: Extracting #2: cost 26 inf + 42 58.961 * * [simplify]: Extracting #3: cost 24 inf + 452 58.962 * * [simplify]: Extracting #4: cost 3 inf + 2337 58.963 * * [simplify]: Extracting #5: cost 0 inf + 2704 58.964 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2))) 58.964 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2))))))) 58.964 * * * * [progress]: [ 73 / 226 ] simplifiying candidate # 58.965 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2) 58.965 * * [simplify]: iters left: 6 (6 enodes) 58.969 * * [simplify]: iters left: 5 (29 enodes) 58.976 * * [simplify]: iters left: 4 (44 enodes) 58.984 * * [simplify]: iters left: 3 (50 enodes) 58.993 * * [simplify]: iters left: 2 (57 enodes) 59.009 * * [simplify]: Extracting #0: cost 1 inf + 0 59.009 * * [simplify]: Extracting #1: cost 9 inf + 0 59.009 * * [simplify]: Extracting #2: cost 15 inf + 3 59.009 * * [simplify]: Extracting #3: cost 11 inf + 131 59.009 * * [simplify]: Extracting #4: cost 2 inf + 711 59.010 * * [simplify]: Extracting #5: cost 0 inf + 836 59.010 * [simplify]: Simplified to (- 1/4 (/ k 4)) 59.011 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ 1 1)) (- 1/4 (/ k 4)))))) 59.011 * * * * [progress]: [ 74 / 226 ] simplifiying candidate # 59.011 * [simplify]: Simplifying (/ (/ 1 2) (cbrt 2)) 59.011 * * [simplify]: iters left: 4 (5 enodes) 59.016 * * [simplify]: iters left: 3 (20 enodes) 59.023 * * [simplify]: iters left: 2 (27 enodes) 59.032 * * [simplify]: iters left: 1 (29 enodes) 59.041 * * [simplify]: Extracting #0: cost 1 inf + 0 59.041 * * [simplify]: Extracting #1: cost 8 inf + 0 59.042 * * [simplify]: Extracting #2: cost 4 inf + 449 59.042 * * [simplify]: Extracting #3: cost 0 inf + 895 59.042 * [simplify]: Simplified to (/ 1/2 (cbrt 2)) 59.042 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) (/ 1/2 (cbrt 2)))))) 59.042 * * * * [progress]: [ 75 / 226 ] simplifiying candidate # 59.043 * [simplify]: Simplifying (/ (/ 1 2) (sqrt 2)) 59.043 * * [simplify]: iters left: 4 (5 enodes) 59.047 * * [simplify]: iters left: 3 (20 enodes) 59.054 * * [simplify]: iters left: 2 (27 enodes) 59.063 * * [simplify]: iters left: 1 (29 enodes) 59.072 * * [simplify]: Extracting #0: cost 1 inf + 0 59.072 * * [simplify]: Extracting #1: cost 8 inf + 0 59.072 * * [simplify]: Extracting #2: cost 4 inf + 289 59.073 * * [simplify]: Extracting #3: cost 0 inf + 575 59.073 * [simplify]: Simplified to (/ 1/2 (sqrt 2)) 59.073 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (- 1 k) (sqrt 2))) (/ 1/2 (sqrt 2)))))) 59.073 * * * * [progress]: [ 76 / 226 ] simplifiying candidate # 59.073 * [simplify]: Simplifying (/ (/ 1 2) 2) 59.074 * * [simplify]: iters left: 4 (4 enodes) 59.079 * * [simplify]: iters left: 3 (19 enodes) 59.085 * * [simplify]: iters left: 2 (23 enodes) 59.092 * * [simplify]: Extracting #0: cost 1 inf + 0 59.092 * * [simplify]: Extracting #1: cost 0 inf + 1 59.092 * [simplify]: Simplified to 1/4 59.092 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (- 1 k) 1)) 1/4)))) 59.092 * * * * [progress]: [ 77 / 226 ] simplifiying candidate # 59.093 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2) 59.093 * * [simplify]: iters left: 6 (6 enodes) 59.097 * * [simplify]: iters left: 5 (29 enodes) 59.107 * * [simplify]: iters left: 4 (44 enodes) 59.124 * * [simplify]: iters left: 3 (50 enodes) 59.140 * * [simplify]: iters left: 2 (57 enodes) 59.156 * * [simplify]: Extracting #0: cost 1 inf + 0 59.156 * * [simplify]: Extracting #1: cost 9 inf + 0 59.156 * * [simplify]: Extracting #2: cost 15 inf + 3 59.156 * * [simplify]: Extracting #3: cost 11 inf + 131 59.156 * * [simplify]: Extracting #4: cost 2 inf + 711 59.157 * * [simplify]: Extracting #5: cost 0 inf + 836 59.157 * [simplify]: Simplified to (- 1/4 (/ k 4)) 59.157 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) 1) (- 1/4 (/ k 4)))))) 59.158 * * * * [progress]: [ 78 / 226 ] simplifiying candidate # 59.158 * [simplify]: Simplifying (/ 1 2) 59.158 * * [simplify]: iters left: 2 (3 enodes) 59.161 * * [simplify]: iters left: 1 (12 enodes) 59.164 * * [simplify]: Extracting #0: cost 1 inf + 0 59.164 * * [simplify]: Extracting #1: cost 0 inf + 1 59.164 * [simplify]: Simplified to 1/2 59.164 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1/2)))) 59.164 * * * * [progress]: [ 79 / 226 ] simplifiying candidate # 59.164 * [simplify]: Simplifying (pow n (/ (/ (- 1 k) 2) 2)) 59.164 * * [simplify]: iters left: 6 (8 enodes) 59.167 * * [simplify]: iters left: 5 (38 enodes) 59.174 * * [simplify]: iters left: 4 (66 enodes) 59.187 * * [simplify]: iters left: 3 (110 enodes) 59.217 * * [simplify]: iters left: 2 (200 enodes) 59.269 * * [simplify]: iters left: 1 (403 enodes) 59.431 * * [simplify]: Extracting #0: cost 1 inf + 0 59.432 * * [simplify]: Extracting #1: cost 26 inf + 0 59.432 * * [simplify]: Extracting #2: cost 100 inf + 2 59.433 * * [simplify]: Extracting #3: cost 164 inf + 10 59.435 * * [simplify]: Extracting #4: cost 157 inf + 1472 59.442 * * [simplify]: Extracting #5: cost 64 inf + 19273 59.449 * * [simplify]: Extracting #6: cost 8 inf + 47461 59.457 * * [simplify]: Extracting #7: cost 0 inf + 52807 59.466 * [simplify]: Simplified to (pow n (- 1/4 (/ k 4))) 59.466 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (* (pow n (- 1/4 (/ k 4))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 59.466 * * * * [progress]: [ 80 / 226 ] simplifiying candidate # 59.466 * * * * [progress]: [ 81 / 226 ] simplifiying candidate # 59.466 * * * * [progress]: [ 82 / 226 ] simplifiying candidate # 59.466 * * * * [progress]: [ 83 / 226 ] simplifiying candidate # 59.466 * * * * [progress]: [ 84 / 226 ] simplifiying candidate # 59.466 * * * * [progress]: [ 85 / 226 ] simplifiying candidate # 59.466 * * * * [progress]: [ 86 / 226 ] simplifiying candidate # 59.466 * * * * [progress]: [ 87 / 226 ] simplifiying candidate # 59.466 * * * * [progress]: [ 88 / 226 ] simplifiying candidate #real (real->posit16 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))))> 59.466 * * * * [progress]: [ 89 / 226 ] simplifiying candidate # 59.466 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2)) 59.467 * * [simplify]: iters left: 6 (14 enodes) 59.471 * * [simplify]: iters left: 5 (60 enodes) 59.482 * * [simplify]: iters left: 4 (108 enodes) 59.521 * * [simplify]: iters left: 3 (249 enodes) 59.584 * * [simplify]: Extracting #0: cost 1 inf + 0 59.585 * * [simplify]: Extracting #1: cost 28 inf + 0 59.585 * * [simplify]: Extracting #2: cost 114 inf + 2 59.586 * * [simplify]: Extracting #3: cost 151 inf + 301 59.589 * * [simplify]: Extracting #4: cost 84 inf + 10352 59.600 * * [simplify]: Extracting #5: cost 17 inf + 27228 59.612 * * [simplify]: Extracting #6: cost 0 inf + 31848 59.624 * * [simplify]: Extracting #7: cost 0 inf + 31808 59.636 * [simplify]: Simplified to (/ (+ (log n) (+ (log 2) (log PI))) (/ 4 (- 1 k))) 59.636 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (+ (log n) (+ (log 2) (log PI))) (/ 4 (- 1 k)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 59.637 * * * * [progress]: [ 90 / 226 ] simplifiying candidate # 59.637 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2)) 59.637 * * [simplify]: iters left: 6 (13 enodes) 59.646 * * [simplify]: iters left: 5 (58 enodes) 59.665 * * [simplify]: iters left: 4 (101 enodes) 59.699 * * [simplify]: iters left: 3 (207 enodes) 59.791 * * [simplify]: iters left: 2 (498 enodes) 59.963 * * [simplify]: Extracting #0: cost 1 inf + 0 59.963 * * [simplify]: Extracting #1: cost 58 inf + 0 59.964 * * [simplify]: Extracting #2: cost 205 inf + 4 59.965 * * [simplify]: Extracting #3: cost 244 inf + 1075 59.969 * * [simplify]: Extracting #4: cost 137 inf + 20618 59.979 * * [simplify]: Extracting #5: cost 12 inf + 54441 59.998 * * [simplify]: Extracting #6: cost 0 inf + 58827 60.017 * * [simplify]: Extracting #7: cost 0 inf + 58826 60.030 * [simplify]: Simplified to (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 4) 60.030 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 4)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 60.030 * * * * [progress]: [ 91 / 226 ] simplifiying candidate # 60.030 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)) 60.030 * * [simplify]: iters left: 6 (12 enodes) 60.035 * * [simplify]: iters left: 5 (57 enodes) 60.051 * * [simplify]: iters left: 4 (111 enodes) 60.087 * * [simplify]: iters left: 3 (212 enodes) 60.169 * * [simplify]: iters left: 2 (446 enodes) 60.321 * * [simplify]: Extracting #0: cost 1 inf + 0 60.321 * * [simplify]: Extracting #1: cost 34 inf + 0 60.321 * * [simplify]: Extracting #2: cost 143 inf + 4 60.323 * * [simplify]: Extracting #3: cost 200 inf + 396 60.327 * * [simplify]: Extracting #4: cost 133 inf + 9596 60.338 * * [simplify]: Extracting #5: cost 32 inf + 30294 60.354 * * [simplify]: Extracting #6: cost 1 inf + 36989 60.370 * * [simplify]: Extracting #7: cost 0 inf + 37182 60.385 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 4) 60.386 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 4)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 60.386 * * * * [progress]: [ 92 / 226 ] simplifiying candidate # 60.386 * * * * [progress]: [ 93 / 226 ] simplifiying candidate # 60.386 * [simplify]: Simplifying (* n (* 2 PI)) 60.386 * * [simplify]: iters left: 4 (5 enodes) 60.388 * * [simplify]: iters left: 3 (19 enodes) 60.391 * * [simplify]: iters left: 2 (27 enodes) 60.395 * * [simplify]: iters left: 1 (32 enodes) 60.399 * * [simplify]: Extracting #0: cost 1 inf + 0 60.399 * * [simplify]: Extracting #1: cost 8 inf + 0 60.399 * * [simplify]: Extracting #2: cost 7 inf + 45 60.399 * * [simplify]: Extracting #3: cost 0 inf + 421 60.399 * [simplify]: Simplified to (* (* PI 2) n) 60.399 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1 (/ (/ (- 1 k) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 60.399 * * * * [progress]: [ 94 / 226 ] simplifiying candidate # 60.399 * [simplify]: Simplifying (* n (* 2 PI)) 60.400 * * [simplify]: iters left: 4 (5 enodes) 60.404 * * [simplify]: iters left: 3 (19 enodes) 60.407 * * [simplify]: iters left: 2 (27 enodes) 60.411 * * [simplify]: iters left: 1 (32 enodes) 60.417 * * [simplify]: Extracting #0: cost 1 inf + 0 60.417 * * [simplify]: Extracting #1: cost 8 inf + 0 60.417 * * [simplify]: Extracting #2: cost 7 inf + 45 60.417 * * [simplify]: Extracting #3: cost 0 inf + 421 60.418 * [simplify]: Simplified to (* (* PI 2) n) 60.418 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1 (/ (/ (- 1 k) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 60.418 * * * * [progress]: [ 95 / 226 ] simplifiying candidate # 60.418 * [simplify]: Simplifying (* n (* 2 PI)) 60.418 * * [simplify]: iters left: 4 (5 enodes) 60.421 * * [simplify]: iters left: 3 (19 enodes) 60.428 * * [simplify]: iters left: 2 (27 enodes) 60.437 * * [simplify]: iters left: 1 (32 enodes) 60.442 * * [simplify]: Extracting #0: cost 1 inf + 0 60.442 * * [simplify]: Extracting #1: cost 8 inf + 0 60.442 * * [simplify]: Extracting #2: cost 7 inf + 45 60.442 * * [simplify]: Extracting #3: cost 0 inf + 421 60.442 * [simplify]: Simplified to (* (* PI 2) n) 60.442 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1 (/ (/ (- 1 k) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 60.442 * * * * [progress]: [ 96 / 226 ] simplifiying candidate # 60.442 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ k 2) 2)) 60.442 * * [simplify]: iters left: 5 (9 enodes) 60.445 * * [simplify]: iters left: 4 (37 enodes) 60.451 * * [simplify]: iters left: 3 (57 enodes) 60.461 * * [simplify]: iters left: 2 (93 enodes) 60.477 * * [simplify]: iters left: 1 (170 enodes) 60.512 * * [simplify]: Extracting #0: cost 1 inf + 0 60.512 * * [simplify]: Extracting #1: cost 13 inf + 0 60.512 * * [simplify]: Extracting #2: cost 59 inf + 1 60.512 * * [simplify]: Extracting #3: cost 78 inf + 176 60.513 * * [simplify]: Extracting #4: cost 40 inf + 3875 60.515 * * [simplify]: Extracting #5: cost 7 inf + 16988 60.518 * * [simplify]: Extracting #6: cost 0 inf + 20577 60.521 * * [simplify]: Extracting #7: cost 0 inf + 20336 60.524 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ k 4)) 60.524 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (/ 1 2) 2)) (pow (* (* PI 2) n) (/ k 4))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 60.524 * * * * [progress]: [ 97 / 226 ] simplifiying candidate # 60.525 * [simplify]: Simplifying (cbrt (/ (/ (- 1 k) 2) 2)) 60.525 * * [simplify]: iters left: 6 (7 enodes) 60.528 * * [simplify]: iters left: 5 (32 enodes) 60.538 * * [simplify]: iters left: 4 (47 enodes) 60.552 * * [simplify]: iters left: 3 (53 enodes) 60.567 * * [simplify]: iters left: 2 (60 enodes) 60.584 * * [simplify]: Extracting #0: cost 1 inf + 0 60.584 * * [simplify]: Extracting #1: cost 3 inf + 0 60.584 * * [simplify]: Extracting #2: cost 11 inf + 0 60.584 * * [simplify]: Extracting #3: cost 17 inf + 3 60.585 * * [simplify]: Extracting #4: cost 14 inf + 129 60.585 * * [simplify]: Extracting #5: cost 3 inf + 794 60.586 * * [simplify]: Extracting #6: cost 0 inf + 1162 60.586 * [simplify]: Simplified to (cbrt (- 1/4 (/ k 4))) 60.586 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (* (cbrt (/ (/ (- 1 k) 2) 2)) (cbrt (/ (/ (- 1 k) 2) 2)))) (cbrt (- 1/4 (/ k 4)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 60.586 * * * * [progress]: [ 98 / 226 ] simplifiying candidate # 60.587 * [simplify]: Simplifying (sqrt (/ (/ (- 1 k) 2) 2)) 60.587 * * [simplify]: iters left: 6 (7 enodes) 60.591 * * [simplify]: iters left: 5 (32 enodes) 60.603 * * [simplify]: iters left: 4 (47 enodes) 60.620 * * [simplify]: iters left: 3 (53 enodes) 60.635 * * [simplify]: iters left: 2 (60 enodes) 60.652 * * [simplify]: Extracting #0: cost 1 inf + 0 60.652 * * [simplify]: Extracting #1: cost 3 inf + 0 60.652 * * [simplify]: Extracting #2: cost 11 inf + 0 60.652 * * [simplify]: Extracting #3: cost 17 inf + 3 60.652 * * [simplify]: Extracting #4: cost 14 inf + 129 60.652 * * [simplify]: Extracting #5: cost 3 inf + 794 60.653 * * [simplify]: Extracting #6: cost 0 inf + 1082 60.653 * [simplify]: Simplified to (sqrt (- 1/4 (/ k 4))) 60.654 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (sqrt (/ (/ (- 1 k) 2) 2))) (sqrt (- 1/4 (/ k 4)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 60.654 * * * * [progress]: [ 99 / 226 ] simplifiying candidate # 60.654 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)) 60.654 * * [simplify]: iters left: 6 (8 enodes) 60.660 * * [simplify]: iters left: 5 (32 enodes) 60.671 * * [simplify]: iters left: 4 (41 enodes) 60.683 * * [simplify]: Extracting #0: cost 1 inf + 0 60.683 * * [simplify]: Extracting #1: cost 4 inf + 0 60.683 * * [simplify]: Extracting #2: cost 8 inf + 0 60.683 * * [simplify]: Extracting #3: cost 9 inf + 163 60.683 * * [simplify]: Extracting #4: cost 13 inf + 164 60.684 * * [simplify]: Extracting #5: cost 10 inf + 249 60.684 * * [simplify]: Extracting #6: cost 3 inf + 986 60.684 * * [simplify]: Extracting #7: cost 0 inf + 1474 60.685 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)) 60.685 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 60.685 * * * * [progress]: [ 100 / 226 ] simplifiying candidate # 60.685 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) (sqrt 2)) 60.686 * * [simplify]: iters left: 6 (8 enodes) 60.690 * * [simplify]: iters left: 5 (32 enodes) 60.701 * * [simplify]: iters left: 4 (41 enodes) 60.713 * * [simplify]: Extracting #0: cost 1 inf + 0 60.713 * * [simplify]: Extracting #1: cost 4 inf + 0 60.713 * * [simplify]: Extracting #2: cost 8 inf + 0 60.713 * * [simplify]: Extracting #3: cost 9 inf + 83 60.714 * * [simplify]: Extracting #4: cost 13 inf + 84 60.714 * * [simplify]: Extracting #5: cost 10 inf + 169 60.714 * * [simplify]: Extracting #6: cost 3 inf + 866 60.714 * * [simplify]: Extracting #7: cost 0 inf + 1314 60.715 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) (sqrt 2)) 60.715 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (sqrt 2))) (/ (cbrt (/ (- 1 k) 2)) (sqrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 60.715 * * * * [progress]: [ 101 / 226 ] simplifiying candidate # 60.716 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) 2) 60.716 * * [simplify]: iters left: 6 (7 enodes) 60.721 * * [simplify]: iters left: 5 (29 enodes) 60.730 * * [simplify]: iters left: 4 (38 enodes) 60.741 * * [simplify]: Extracting #0: cost 1 inf + 0 60.741 * * [simplify]: Extracting #1: cost 4 inf + 0 60.742 * * [simplify]: Extracting #2: cost 5 inf + 1 60.742 * * [simplify]: Extracting #3: cost 9 inf + 1 60.742 * * [simplify]: Extracting #4: cost 13 inf + 2 60.742 * * [simplify]: Extracting #5: cost 12 inf + 4 60.742 * * [simplify]: Extracting #6: cost 2 inf + 746 60.742 * * [simplify]: Extracting #7: cost 0 inf + 1152 60.743 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) 2) 60.743 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) 1)) (/ (cbrt (/ (- 1 k) 2)) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 60.743 * * * * [progress]: [ 102 / 226 ] simplifiying candidate # 60.743 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) (cbrt 2)) 60.743 * * [simplify]: iters left: 6 (8 enodes) 60.748 * * [simplify]: iters left: 5 (32 enodes) 60.759 * * [simplify]: iters left: 4 (41 enodes) 60.775 * * [simplify]: Extracting #0: cost 1 inf + 0 60.775 * * [simplify]: Extracting #1: cost 4 inf + 0 60.775 * * [simplify]: Extracting #2: cost 8 inf + 0 60.775 * * [simplify]: Extracting #3: cost 9 inf + 163 60.775 * * [simplify]: Extracting #4: cost 13 inf + 164 60.775 * * [simplify]: Extracting #5: cost 10 inf + 249 60.776 * * [simplify]: Extracting #6: cost 3 inf + 906 60.776 * * [simplify]: Extracting #7: cost 0 inf + 1314 60.777 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) (cbrt 2)) 60.777 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (/ (- 1 k) 2)) (cbrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 60.777 * * * * [progress]: [ 103 / 226 ] simplifiying candidate # 60.777 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)) 60.777 * * [simplify]: iters left: 6 (8 enodes) 60.780 * * [simplify]: iters left: 5 (32 enodes) 60.785 * * [simplify]: iters left: 4 (41 enodes) 60.792 * * [simplify]: Extracting #0: cost 1 inf + 0 60.792 * * [simplify]: Extracting #1: cost 4 inf + 0 60.792 * * [simplify]: Extracting #2: cost 8 inf + 0 60.792 * * [simplify]: Extracting #3: cost 9 inf + 83 60.792 * * [simplify]: Extracting #4: cost 13 inf + 84 60.792 * * [simplify]: Extracting #5: cost 10 inf + 169 60.792 * * [simplify]: Extracting #6: cost 3 inf + 786 60.793 * * [simplify]: Extracting #7: cost 0 inf + 1154 60.793 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)) 60.793 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 60.793 * * * * [progress]: [ 104 / 226 ] simplifiying candidate # 60.793 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) 2) 60.793 * * [simplify]: iters left: 6 (7 enodes) 60.796 * * [simplify]: iters left: 5 (29 enodes) 60.801 * * [simplify]: iters left: 4 (38 enodes) 60.806 * * [simplify]: Extracting #0: cost 1 inf + 0 60.807 * * [simplify]: Extracting #1: cost 4 inf + 0 60.807 * * [simplify]: Extracting #2: cost 5 inf + 1 60.807 * * [simplify]: Extracting #3: cost 9 inf + 1 60.807 * * [simplify]: Extracting #4: cost 13 inf + 2 60.807 * * [simplify]: Extracting #5: cost 12 inf + 4 60.807 * * [simplify]: Extracting #6: cost 2 inf + 666 60.807 * * [simplify]: Extracting #7: cost 0 inf + 992 60.807 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) 2) 60.807 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) 1)) (/ (sqrt (/ (- 1 k) 2)) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 60.807 * * * * [progress]: [ 105 / 226 ] simplifiying candidate # 60.808 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) (cbrt 2)) 60.808 * * [simplify]: iters left: 6 (8 enodes) 60.810 * * [simplify]: iters left: 5 (30 enodes) 60.815 * * [simplify]: iters left: 4 (37 enodes) 60.821 * * [simplify]: Extracting #0: cost 1 inf + 0 60.822 * * [simplify]: Extracting #1: cost 6 inf + 0 60.822 * * [simplify]: Extracting #2: cost 12 inf + 0 60.822 * * [simplify]: Extracting #3: cost 11 inf + 405 60.822 * * [simplify]: Extracting #4: cost 10 inf + 407 60.822 * * [simplify]: Extracting #5: cost 4 inf + 1220 60.822 * * [simplify]: Extracting #6: cost 0 inf + 1869 60.822 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 60.822 * [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 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 60.823 * * * * [progress]: [ 106 / 226 ] simplifiying candidate # 60.823 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2)) 60.823 * * [simplify]: iters left: 6 (9 enodes) 60.826 * * [simplify]: iters left: 5 (33 enodes) 60.832 * * [simplify]: iters left: 4 (43 enodes) 60.838 * * [simplify]: iters left: 3 (45 enodes) 60.846 * * [simplify]: Extracting #0: cost 1 inf + 0 60.846 * * [simplify]: Extracting #1: cost 8 inf + 0 60.846 * * [simplify]: Extracting #2: cost 16 inf + 0 60.846 * * [simplify]: Extracting #3: cost 16 inf + 284 60.846 * * [simplify]: Extracting #4: cost 11 inf + 610 60.846 * * [simplify]: Extracting #5: cost 8 inf + 815 60.846 * * [simplify]: Extracting #6: cost 0 inf + 2517 60.847 * [simplify]: Simplified to (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2)) 60.847 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 60.847 * * * * [progress]: [ 107 / 226 ] simplifiying candidate # 60.847 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) 2) 60.847 * * [simplify]: iters left: 6 (8 enodes) 60.849 * * [simplify]: iters left: 5 (30 enodes) 60.855 * * [simplify]: iters left: 4 (40 enodes) 60.863 * * [simplify]: iters left: 3 (42 enodes) 60.873 * * [simplify]: Extracting #0: cost 1 inf + 0 60.873 * * [simplify]: Extracting #1: cost 8 inf + 0 60.873 * * [simplify]: Extracting #2: cost 12 inf + 82 60.873 * * [simplify]: Extracting #3: cost 13 inf + 405 60.873 * * [simplify]: Extracting #4: cost 12 inf + 407 60.873 * * [simplify]: Extracting #5: cost 5 inf + 1383 60.874 * * [simplify]: Extracting #6: cost 0 inf + 2195 60.875 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* 2 (cbrt 2))) 60.875 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) 1)) (/ (cbrt (- 1 k)) (* 2 (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 60.875 * * * * [progress]: [ 108 / 226 ] simplifiying candidate # 60.875 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2)) 60.875 * * [simplify]: iters left: 6 (9 enodes) 60.881 * * [simplify]: iters left: 5 (33 enodes) 60.892 * * [simplify]: iters left: 4 (43 enodes) 60.905 * * [simplify]: iters left: 3 (45 enodes) 60.919 * * [simplify]: Extracting #0: cost 1 inf + 0 60.919 * * [simplify]: Extracting #1: cost 8 inf + 0 60.919 * * [simplify]: Extracting #2: cost 16 inf + 0 60.919 * * [simplify]: Extracting #3: cost 16 inf + 284 60.919 * * [simplify]: Extracting #4: cost 11 inf + 610 60.920 * * [simplify]: Extracting #5: cost 8 inf + 815 60.920 * * [simplify]: Extracting #6: cost 0 inf + 2517 60.921 * [simplify]: Simplified to (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2)) 60.921 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 60.921 * * * * [progress]: [ 109 / 226 ] simplifiying candidate # 60.922 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) (sqrt 2)) 60.922 * * [simplify]: iters left: 6 (8 enodes) 60.926 * * [simplify]: iters left: 5 (30 enodes) 60.936 * * [simplify]: iters left: 4 (35 enodes) 60.947 * * [simplify]: Extracting #0: cost 1 inf + 0 60.947 * * [simplify]: Extracting #1: cost 6 inf + 0 60.947 * * [simplify]: Extracting #2: cost 8 inf + 42 60.947 * * [simplify]: Extracting #3: cost 11 inf + 83 60.947 * * [simplify]: Extracting #4: cost 10 inf + 85 60.947 * * [simplify]: Extracting #5: cost 4 inf + 658 60.948 * * [simplify]: Extracting #6: cost 0 inf + 1227 60.948 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 60.948 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (sqrt 2))) (/ (cbrt (- 1 k)) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 60.949 * * * * [progress]: [ 110 / 226 ] simplifiying candidate # 60.949 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) 2) 60.949 * * [simplify]: iters left: 6 (8 enodes) 60.953 * * [simplify]: iters left: 5 (30 enodes) 60.958 * * [simplify]: iters left: 4 (40 enodes) 60.965 * * [simplify]: iters left: 3 (42 enodes) 60.971 * * [simplify]: Extracting #0: cost 1 inf + 0 60.971 * * [simplify]: Extracting #1: cost 8 inf + 0 60.971 * * [simplify]: Extracting #2: cost 12 inf + 42 60.972 * * [simplify]: Extracting #3: cost 13 inf + 245 60.972 * * [simplify]: Extracting #4: cost 12 inf + 247 60.972 * * [simplify]: Extracting #5: cost 5 inf + 1143 60.972 * * [simplify]: Extracting #6: cost 0 inf + 1875 60.972 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* 2 (sqrt 2))) 60.972 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) 1)) (/ (cbrt (- 1 k)) (* 2 (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 60.972 * * * * [progress]: [ 111 / 226 ] simplifiying candidate # 60.973 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) (cbrt 2)) 60.973 * * [simplify]: iters left: 6 (8 enodes) 60.975 * * [simplify]: iters left: 5 (30 enodes) 60.981 * * [simplify]: iters left: 4 (40 enodes) 60.995 * * [simplify]: iters left: 3 (42 enodes) 61.008 * * [simplify]: Extracting #0: cost 1 inf + 0 61.008 * * [simplify]: Extracting #1: cost 8 inf + 0 61.008 * * [simplify]: Extracting #2: cost 11 inf + 203 61.008 * * [simplify]: Extracting #3: cost 13 inf + 405 61.008 * * [simplify]: Extracting #4: cost 12 inf + 407 61.009 * * [simplify]: Extracting #5: cost 3 inf + 1789 61.009 * * [simplify]: Extracting #6: cost 0 inf + 2195 61.010 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (cbrt 2) 2)) 61.010 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (* (cbrt 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 61.010 * * * * [progress]: [ 112 / 226 ] simplifiying candidate # 61.010 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) (sqrt 2)) 61.011 * * [simplify]: iters left: 6 (8 enodes) 61.015 * * [simplify]: iters left: 5 (30 enodes) 61.026 * * [simplify]: iters left: 4 (40 enodes) 61.038 * * [simplify]: iters left: 3 (42 enodes) 61.050 * * [simplify]: Extracting #0: cost 1 inf + 0 61.051 * * [simplify]: Extracting #1: cost 8 inf + 0 61.051 * * [simplify]: Extracting #2: cost 11 inf + 123 61.051 * * [simplify]: Extracting #3: cost 13 inf + 245 61.051 * * [simplify]: Extracting #4: cost 12 inf + 247 61.051 * * [simplify]: Extracting #5: cost 3 inf + 1509 61.052 * * [simplify]: Extracting #6: cost 0 inf + 1875 61.052 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (sqrt 2) 2)) 61.053 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (sqrt 2))) (/ (cbrt (- 1 k)) (* (sqrt 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 61.053 * * * * [progress]: [ 113 / 226 ] simplifiying candidate # 61.053 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) 2) 61.053 * * [simplify]: iters left: 6 (7 enodes) 61.057 * * [simplify]: iters left: 5 (28 enodes) 61.066 * * [simplify]: iters left: 4 (35 enodes) 61.076 * * [simplify]: Extracting #0: cost 1 inf + 0 61.076 * * [simplify]: Extracting #1: cost 6 inf + 0 61.076 * * [simplify]: Extracting #2: cost 7 inf + 2 61.076 * * [simplify]: Extracting #3: cost 11 inf + 2 61.077 * * [simplify]: Extracting #4: cost 9 inf + 45 61.077 * * [simplify]: Extracting #5: cost 4 inf + 455 61.077 * * [simplify]: Extracting #6: cost 0 inf + 1066 61.077 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 4) 61.078 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 61.078 * * * * [progress]: [ 114 / 226 ] simplifiying candidate # 61.078 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2)) 61.078 * * [simplify]: iters left: 6 (8 enodes) 61.083 * * [simplify]: iters left: 5 (30 enodes) 61.093 * * [simplify]: iters left: 4 (37 enodes) 61.104 * * [simplify]: Extracting #0: cost 1 inf + 0 61.104 * * [simplify]: Extracting #1: cost 6 inf + 0 61.104 * * [simplify]: Extracting #2: cost 12 inf + 0 61.104 * * [simplify]: Extracting #3: cost 11 inf + 405 61.105 * * [simplify]: Extracting #4: cost 10 inf + 407 61.105 * * [simplify]: Extracting #5: cost 4 inf + 1100 61.105 * * [simplify]: Extracting #6: cost 0 inf + 1629 61.106 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 61.106 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 61.106 * * * * [progress]: [ 115 / 226 ] simplifiying candidate # 61.106 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2)) 61.107 * * [simplify]: iters left: 6 (9 enodes) 61.112 * * [simplify]: iters left: 5 (33 enodes) 61.124 * * [simplify]: iters left: 4 (43 enodes) 61.138 * * [simplify]: iters left: 3 (45 enodes) 61.154 * * [simplify]: Extracting #0: cost 1 inf + 0 61.154 * * [simplify]: Extracting #1: cost 8 inf + 0 61.154 * * [simplify]: Extracting #2: cost 16 inf + 0 61.154 * * [simplify]: Extracting #3: cost 16 inf + 284 61.155 * * [simplify]: Extracting #4: cost 11 inf + 610 61.155 * * [simplify]: Extracting #5: cost 8 inf + 775 61.156 * * [simplify]: Extracting #6: cost 0 inf + 2197 61.156 * [simplify]: Simplified to (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2)) 61.156 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 61.156 * * * * [progress]: [ 116 / 226 ] simplifiying candidate # 61.157 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) 2) 61.157 * * [simplify]: iters left: 6 (8 enodes) 61.159 * * [simplify]: iters left: 5 (30 enodes) 61.165 * * [simplify]: iters left: 4 (40 enodes) 61.171 * * [simplify]: iters left: 3 (42 enodes) 61.177 * * [simplify]: Extracting #0: cost 1 inf + 0 61.177 * * [simplify]: Extracting #1: cost 8 inf + 0 61.177 * * [simplify]: Extracting #2: cost 12 inf + 82 61.177 * * [simplify]: Extracting #3: cost 13 inf + 405 61.177 * * [simplify]: Extracting #4: cost 12 inf + 407 61.178 * * [simplify]: Extracting #5: cost 5 inf + 1223 61.178 * * [simplify]: Extracting #6: cost 0 inf + 1875 61.178 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* 2 (cbrt 2))) 61.178 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (sqrt (- 1 k)) (* 2 (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 61.178 * * * * [progress]: [ 117 / 226 ] simplifiying candidate # 61.179 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2)) 61.179 * * [simplify]: iters left: 6 (9 enodes) 61.182 * * [simplify]: iters left: 5 (33 enodes) 61.188 * * [simplify]: iters left: 4 (43 enodes) 61.200 * * [simplify]: iters left: 3 (45 enodes) 61.214 * * [simplify]: Extracting #0: cost 1 inf + 0 61.214 * * [simplify]: Extracting #1: cost 8 inf + 0 61.214 * * [simplify]: Extracting #2: cost 16 inf + 0 61.214 * * [simplify]: Extracting #3: cost 16 inf + 284 61.214 * * [simplify]: Extracting #4: cost 11 inf + 610 61.214 * * [simplify]: Extracting #5: cost 8 inf + 775 61.215 * * [simplify]: Extracting #6: cost 0 inf + 2197 61.215 * [simplify]: Simplified to (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2)) 61.215 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 61.215 * * * * [progress]: [ 118 / 226 ] simplifiying candidate # 61.215 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2)) 61.215 * * [simplify]: iters left: 6 (8 enodes) 61.218 * * [simplify]: iters left: 5 (30 enodes) 61.223 * * [simplify]: iters left: 4 (35 enodes) 61.228 * * [simplify]: Extracting #0: cost 1 inf + 0 61.228 * * [simplify]: Extracting #1: cost 6 inf + 0 61.228 * * [simplify]: Extracting #2: cost 8 inf + 42 61.228 * * [simplify]: Extracting #3: cost 11 inf + 83 61.228 * * [simplify]: Extracting #4: cost 10 inf + 85 61.228 * * [simplify]: Extracting #5: cost 4 inf + 538 61.228 * * [simplify]: Extracting #6: cost 0 inf + 987 61.229 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 61.229 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))) (/ (sqrt (- 1 k)) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 61.229 * * * * [progress]: [ 119 / 226 ] simplifiying candidate # 61.229 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) 2) 61.229 * * [simplify]: iters left: 6 (8 enodes) 61.231 * * [simplify]: iters left: 5 (30 enodes) 61.236 * * [simplify]: iters left: 4 (40 enodes) 61.243 * * [simplify]: iters left: 3 (42 enodes) 61.251 * * [simplify]: Extracting #0: cost 1 inf + 0 61.251 * * [simplify]: Extracting #1: cost 8 inf + 0 61.251 * * [simplify]: Extracting #2: cost 12 inf + 42 61.251 * * [simplify]: Extracting #3: cost 13 inf + 245 61.252 * * [simplify]: Extracting #4: cost 12 inf + 247 61.252 * * [simplify]: Extracting #5: cost 5 inf + 983 61.253 * * [simplify]: Extracting #6: cost 0 inf + 1555 61.253 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* 2 (sqrt 2))) 61.253 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) 1)) (/ (sqrt (- 1 k)) (* 2 (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 61.254 * * * * [progress]: [ 120 / 226 ] simplifiying candidate # 61.254 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) (cbrt 2)) 61.254 * * [simplify]: iters left: 6 (8 enodes) 61.259 * * [simplify]: iters left: 5 (30 enodes) 61.267 * * [simplify]: iters left: 4 (40 enodes) 61.274 * * [simplify]: iters left: 3 (42 enodes) 61.280 * * [simplify]: Extracting #0: cost 1 inf + 0 61.281 * * [simplify]: Extracting #1: cost 8 inf + 0 61.281 * * [simplify]: Extracting #2: cost 11 inf + 203 61.281 * * [simplify]: Extracting #3: cost 13 inf + 405 61.281 * * [simplify]: Extracting #4: cost 12 inf + 407 61.281 * * [simplify]: Extracting #5: cost 3 inf + 1549 61.281 * * [simplify]: Extracting #6: cost 0 inf + 1875 61.282 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (cbrt 2) 2)) 61.282 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (* (cbrt 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 61.282 * * * * [progress]: [ 121 / 226 ] simplifiying candidate # 61.282 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) (sqrt 2)) 61.282 * * [simplify]: iters left: 6 (8 enodes) 61.284 * * [simplify]: iters left: 5 (30 enodes) 61.290 * * [simplify]: iters left: 4 (40 enodes) 61.298 * * [simplify]: iters left: 3 (42 enodes) 61.310 * * [simplify]: Extracting #0: cost 1 inf + 0 61.310 * * [simplify]: Extracting #1: cost 8 inf + 0 61.310 * * [simplify]: Extracting #2: cost 11 inf + 123 61.310 * * [simplify]: Extracting #3: cost 13 inf + 245 61.311 * * [simplify]: Extracting #4: cost 12 inf + 247 61.311 * * [simplify]: Extracting #5: cost 3 inf + 1269 61.312 * * [simplify]: Extracting #6: cost 0 inf + 1555 61.312 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (sqrt 2) 2)) 61.312 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (sqrt 2))) (/ (sqrt (- 1 k)) (* (sqrt 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 61.313 * * * * [progress]: [ 122 / 226 ] simplifiying candidate # 61.313 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) 2) 61.313 * * [simplify]: iters left: 6 (7 enodes) 61.317 * * [simplify]: iters left: 5 (28 enodes) 61.326 * * [simplify]: iters left: 4 (35 enodes) 61.336 * * [simplify]: Extracting #0: cost 1 inf + 0 61.337 * * [simplify]: Extracting #1: cost 6 inf + 0 61.337 * * [simplify]: Extracting #2: cost 7 inf + 2 61.337 * * [simplify]: Extracting #3: cost 11 inf + 2 61.337 * * [simplify]: Extracting #4: cost 9 inf + 45 61.337 * * [simplify]: Extracting #5: cost 4 inf + 375 61.337 * * [simplify]: Extracting #6: cost 0 inf + 826 61.338 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 4) 61.338 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) 1)) (/ (sqrt (- 1 k)) 4)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 61.338 * * * * [progress]: [ 123 / 226 ] simplifiying candidate # 61.338 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (cbrt 2)) 61.338 * * [simplify]: iters left: 6 (7 enodes) 61.343 * * [simplify]: iters left: 5 (30 enodes) 61.354 * * [simplify]: iters left: 4 (49 enodes) 61.362 * * [simplify]: iters left: 3 (59 enodes) 61.373 * * [simplify]: iters left: 2 (64 enodes) 61.383 * * [simplify]: Extracting #0: cost 1 inf + 0 61.383 * * [simplify]: Extracting #1: cost 9 inf + 0 61.383 * * [simplify]: Extracting #2: cost 23 inf + 0 61.383 * * [simplify]: Extracting #3: cost 24 inf + 3 61.383 * * [simplify]: Extracting #4: cost 15 inf + 980 61.384 * * [simplify]: Extracting #5: cost 1 inf + 3007 61.385 * * [simplify]: Extracting #6: cost 0 inf + 3169 61.386 * [simplify]: Simplified to (/ (- 1 k) (* (cbrt 2) (cbrt 2))) 61.386 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 61.386 * * * * [progress]: [ 124 / 226 ] simplifiying candidate # 61.387 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 61.387 * * [simplify]: iters left: 6 (8 enodes) 61.392 * * [simplify]: iters left: 5 (33 enodes) 61.399 * * [simplify]: iters left: 4 (55 enodes) 61.407 * * [simplify]: iters left: 3 (72 enodes) 61.419 * * [simplify]: iters left: 2 (84 enodes) 61.440 * * [simplify]: iters left: 1 (88 enodes) 61.463 * * [simplify]: Extracting #0: cost 1 inf + 0 61.463 * * [simplify]: Extracting #1: cost 11 inf + 0 61.464 * * [simplify]: Extracting #2: cost 30 inf + 0 61.464 * * [simplify]: Extracting #3: cost 33 inf + 84 61.464 * * [simplify]: Extracting #4: cost 12 inf + 2402 61.466 * * [simplify]: Extracting #5: cost 0 inf + 4469 61.467 * [simplify]: Simplified to (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 61.467 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 61.467 * * * * [progress]: [ 125 / 226 ] simplifiying candidate # 61.468 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) 2) 61.468 * * [simplify]: iters left: 6 (7 enodes) 61.472 * * [simplify]: iters left: 5 (30 enodes) 61.483 * * [simplify]: iters left: 4 (52 enodes) 61.502 * * [simplify]: iters left: 3 (70 enodes) 61.523 * * [simplify]: iters left: 2 (81 enodes) 61.538 * * [simplify]: iters left: 1 (84 enodes) 61.548 * * [simplify]: Extracting #0: cost 1 inf + 0 61.549 * * [simplify]: Extracting #1: cost 11 inf + 0 61.549 * * [simplify]: Extracting #2: cost 25 inf + 203 61.549 * * [simplify]: Extracting #3: cost 25 inf + 530 61.549 * * [simplify]: Extracting #4: cost 4 inf + 2936 61.550 * * [simplify]: Extracting #5: cost 0 inf + 3504 61.550 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (cbrt 2)) 61.551 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) 2) (cbrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 61.551 * * * * [progress]: [ 126 / 226 ] simplifiying candidate # 61.551 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 61.552 * * [simplify]: iters left: 6 (8 enodes) 61.554 * * [simplify]: iters left: 5 (33 enodes) 61.565 * * [simplify]: iters left: 4 (55 enodes) 61.583 * * [simplify]: iters left: 3 (72 enodes) 61.601 * * [simplify]: iters left: 2 (84 enodes) 61.616 * * [simplify]: iters left: 1 (88 enodes) 61.633 * * [simplify]: Extracting #0: cost 1 inf + 0 61.633 * * [simplify]: Extracting #1: cost 11 inf + 0 61.633 * * [simplify]: Extracting #2: cost 30 inf + 0 61.633 * * [simplify]: Extracting #3: cost 33 inf + 44 61.634 * * [simplify]: Extracting #4: cost 12 inf + 2362 61.635 * * [simplify]: Extracting #5: cost 0 inf + 4469 61.637 * [simplify]: Simplified to (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 61.637 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 61.637 * * * * [progress]: [ 127 / 226 ] simplifiying candidate # 61.638 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (sqrt 2)) 61.638 * * [simplify]: iters left: 6 (7 enodes) 61.642 * * [simplify]: iters left: 5 (30 enodes) 61.653 * * [simplify]: iters left: 4 (48 enodes) 61.668 * * [simplify]: iters left: 3 (56 enodes) 61.683 * * [simplify]: Extracting #0: cost 1 inf + 0 61.683 * * [simplify]: Extracting #1: cost 8 inf + 0 61.683 * * [simplify]: Extracting #2: cost 15 inf + 43 61.683 * * [simplify]: Extracting #3: cost 16 inf + 86 61.684 * * [simplify]: Extracting #4: cost 5 inf + 911 61.684 * * [simplify]: Extracting #5: cost 1 inf + 1198 61.685 * * [simplify]: Extracting #6: cost 0 inf + 1320 61.685 * [simplify]: Simplified to (/ (- 1 k) 2) 61.685 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (- 1 k) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 61.686 * * * * [progress]: [ 128 / 226 ] simplifiying candidate # 61.686 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) 2) 61.686 * * [simplify]: iters left: 6 (7 enodes) 61.690 * * [simplify]: iters left: 5 (30 enodes) 61.702 * * [simplify]: iters left: 4 (52 enodes) 61.720 * * [simplify]: iters left: 3 (70 enodes) 61.740 * * [simplify]: iters left: 2 (81 enodes) 61.765 * * [simplify]: iters left: 1 (84 enodes) 61.780 * * [simplify]: Extracting #0: cost 1 inf + 0 61.780 * * [simplify]: Extracting #1: cost 11 inf + 0 61.780 * * [simplify]: Extracting #2: cost 25 inf + 123 61.780 * * [simplify]: Extracting #3: cost 25 inf + 330 61.781 * * [simplify]: Extracting #4: cost 4 inf + 2256 61.781 * * [simplify]: Extracting #5: cost 0 inf + 2704 61.782 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (sqrt 2)) 61.782 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) 2) (sqrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 61.782 * * * * [progress]: [ 129 / 226 ] simplifiying candidate # 61.782 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2)) 61.782 * * [simplify]: iters left: 6 (7 enodes) 61.785 * * [simplify]: iters left: 5 (31 enodes) 61.791 * * [simplify]: iters left: 4 (51 enodes) 61.804 * * [simplify]: iters left: 3 (64 enodes) 61.823 * * [simplify]: iters left: 2 (77 enodes) 61.839 * * [simplify]: iters left: 1 (84 enodes) 61.851 * * [simplify]: Extracting #0: cost 1 inf + 0 61.851 * * [simplify]: Extracting #1: cost 11 inf + 0 61.851 * * [simplify]: Extracting #2: cost 26 inf + 82 61.851 * * [simplify]: Extracting #3: cost 24 inf + 692 61.851 * * [simplify]: Extracting #4: cost 3 inf + 3057 61.852 * * [simplify]: Extracting #5: cost 0 inf + 3504 61.853 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2))) 61.853 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* 2 (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 61.853 * * * * [progress]: [ 130 / 226 ] simplifiying candidate # 61.853 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2)) 61.853 * * [simplify]: iters left: 6 (7 enodes) 61.855 * * [simplify]: iters left: 5 (31 enodes) 61.861 * * [simplify]: iters left: 4 (51 enodes) 61.878 * * [simplify]: iters left: 3 (64 enodes) 61.888 * * [simplify]: iters left: 2 (77 enodes) 61.898 * * [simplify]: iters left: 1 (84 enodes) 61.910 * * [simplify]: Extracting #0: cost 1 inf + 0 61.910 * * [simplify]: Extracting #1: cost 11 inf + 0 61.910 * * [simplify]: Extracting #2: cost 26 inf + 42 61.910 * * [simplify]: Extracting #3: cost 24 inf + 452 61.910 * * [simplify]: Extracting #4: cost 3 inf + 2337 61.911 * * [simplify]: Extracting #5: cost 0 inf + 2704 61.912 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2))) 61.912 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 61.912 * * * * [progress]: [ 131 / 226 ] simplifiying candidate # 61.912 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2) 61.912 * * [simplify]: iters left: 6 (6 enodes) 61.914 * * [simplify]: iters left: 5 (29 enodes) 61.920 * * [simplify]: iters left: 4 (44 enodes) 61.926 * * [simplify]: iters left: 3 (50 enodes) 61.935 * * [simplify]: iters left: 2 (57 enodes) 61.943 * * [simplify]: Extracting #0: cost 1 inf + 0 61.944 * * [simplify]: Extracting #1: cost 9 inf + 0 61.944 * * [simplify]: Extracting #2: cost 15 inf + 3 61.944 * * [simplify]: Extracting #3: cost 11 inf + 131 61.944 * * [simplify]: Extracting #4: cost 2 inf + 711 61.944 * * [simplify]: Extracting #5: cost 0 inf + 836 61.944 * [simplify]: Simplified to (- 1/4 (/ k 4)) 61.944 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) (- 1/4 (/ k 4))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 61.944 * * * * [progress]: [ 132 / 226 ] simplifiying candidate # 61.945 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (cbrt 2)) 61.945 * * [simplify]: iters left: 6 (9 enodes) 61.948 * * [simplify]: iters left: 5 (36 enodes) 61.954 * * [simplify]: iters left: 4 (58 enodes) 61.964 * * [simplify]: iters left: 3 (71 enodes) 61.974 * * [simplify]: iters left: 2 (79 enodes) 61.991 * * [simplify]: iters left: 1 (80 enodes) 62.009 * * [simplify]: Extracting #0: cost 1 inf + 0 62.009 * * [simplify]: Extracting #1: cost 9 inf + 0 62.009 * * [simplify]: Extracting #2: cost 24 inf + 0 62.009 * * [simplify]: Extracting #3: cost 29 inf + 2 62.009 * * [simplify]: Extracting #4: cost 10 inf + 2233 62.010 * * [simplify]: Extracting #5: cost 1 inf + 4013 62.011 * * [simplify]: Extracting #6: cost 0 inf + 4135 62.011 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 62.011 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 62.012 * * * * [progress]: [ 133 / 226 ] simplifiying candidate # 62.012 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (sqrt 2)) 62.012 * * [simplify]: iters left: 6 (10 enodes) 62.015 * * [simplify]: iters left: 5 (39 enodes) 62.022 * * [simplify]: iters left: 4 (64 enodes) 62.033 * * [simplify]: iters left: 3 (86 enodes) 62.053 * * [simplify]: iters left: 2 (99 enodes) 62.069 * * [simplify]: iters left: 1 (104 enodes) 62.086 * * [simplify]: Extracting #0: cost 1 inf + 0 62.086 * * [simplify]: Extracting #1: cost 11 inf + 0 62.086 * * [simplify]: Extracting #2: cost 31 inf + 0 62.086 * * [simplify]: Extracting #3: cost 39 inf + 2 62.087 * * [simplify]: Extracting #4: cost 22 inf + 1871 62.088 * * [simplify]: Extracting #5: cost 4 inf + 4865 62.090 * * [simplify]: Extracting #6: cost 0 inf + 5675 62.092 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2))) 62.092 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 62.092 * * * * [progress]: [ 134 / 226 ] simplifiying candidate # 62.092 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2) 62.093 * * [simplify]: iters left: 6 (9 enodes) 62.098 * * [simplify]: iters left: 5 (36 enodes) 62.108 * * [simplify]: iters left: 4 (61 enodes) 62.117 * * [simplify]: iters left: 3 (84 enodes) 62.129 * * [simplify]: iters left: 2 (96 enodes) 62.143 * * [simplify]: iters left: 1 (100 enodes) 62.171 * * [simplify]: Extracting #0: cost 1 inf + 0 62.171 * * [simplify]: Extracting #1: cost 11 inf + 0 62.171 * * [simplify]: Extracting #2: cost 27 inf + 82 62.172 * * [simplify]: Extracting #3: cost 29 inf + 651 62.172 * * [simplify]: Extracting #4: cost 12 inf + 2763 62.174 * * [simplify]: Extracting #5: cost 1 inf + 4587 62.175 * * [simplify]: Extracting #6: cost 0 inf + 4710 62.177 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (cbrt 2))) 62.177 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (- 1 (sqrt k)) (* 2 (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 62.177 * * * * [progress]: [ 135 / 226 ] simplifiying candidate # 62.178 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (cbrt 2)) 62.178 * * [simplify]: iters left: 6 (10 enodes) 62.184 * * [simplify]: iters left: 5 (39 enodes) 62.197 * * [simplify]: iters left: 4 (64 enodes) 62.216 * * [simplify]: iters left: 3 (86 enodes) 62.241 * * [simplify]: iters left: 2 (99 enodes) 62.266 * * [simplify]: iters left: 1 (104 enodes) 62.293 * * [simplify]: Extracting #0: cost 1 inf + 0 62.293 * * [simplify]: Extracting #1: cost 11 inf + 0 62.293 * * [simplify]: Extracting #2: cost 31 inf + 0 62.293 * * [simplify]: Extracting #3: cost 39 inf + 2 62.294 * * [simplify]: Extracting #4: cost 22 inf + 1831 62.295 * * [simplify]: Extracting #5: cost 4 inf + 4785 62.297 * * [simplify]: Extracting #6: cost 0 inf + 5595 62.299 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2))) 62.299 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 62.299 * * * * [progress]: [ 136 / 226 ] simplifiying candidate # 62.299 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2)) 62.299 * * [simplify]: iters left: 6 (9 enodes) 62.305 * * [simplify]: iters left: 5 (36 enodes) 62.318 * * [simplify]: iters left: 4 (57 enodes) 62.339 * * [simplify]: iters left: 3 (73 enodes) 62.358 * * [simplify]: iters left: 2 (80 enodes) 62.374 * * [simplify]: iters left: 1 (81 enodes) 62.384 * * [simplify]: Extracting #0: cost 1 inf + 0 62.384 * * [simplify]: Extracting #1: cost 9 inf + 0 62.384 * * [simplify]: Extracting #2: cost 18 inf + 43 62.384 * * [simplify]: Extracting #3: cost 23 inf + 85 62.384 * * [simplify]: Extracting #4: cost 9 inf + 1271 62.385 * * [simplify]: Extracting #5: cost 0 inf + 2370 62.385 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 62.385 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (- 1 (sqrt k)) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 62.385 * * * * [progress]: [ 137 / 226 ] simplifiying candidate # 62.385 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2) 62.386 * * [simplify]: iters left: 6 (9 enodes) 62.388 * * [simplify]: iters left: 5 (36 enodes) 62.394 * * [simplify]: iters left: 4 (61 enodes) 62.407 * * [simplify]: iters left: 3 (84 enodes) 62.430 * * [simplify]: iters left: 2 (96 enodes) 62.458 * * [simplify]: iters left: 1 (100 enodes) 62.475 * * [simplify]: Extracting #0: cost 1 inf + 0 62.475 * * [simplify]: Extracting #1: cost 11 inf + 0 62.475 * * [simplify]: Extracting #2: cost 27 inf + 42 62.475 * * [simplify]: Extracting #3: cost 29 inf + 411 62.475 * * [simplify]: Extracting #4: cost 12 inf + 2163 62.476 * * [simplify]: Extracting #5: cost 1 inf + 3707 62.477 * * [simplify]: Extracting #6: cost 0 inf + 3830 62.477 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (sqrt 2))) 62.478 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) 1)) (/ (- 1 (sqrt k)) (* 2 (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 62.478 * * * * [progress]: [ 138 / 226 ] simplifiying candidate # 62.478 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) (cbrt 2)) 62.478 * * [simplify]: iters left: 6 (9 enodes) 62.481 * * [simplify]: iters left: 5 (36 enodes) 62.488 * * [simplify]: iters left: 4 (62 enodes) 62.502 * * [simplify]: iters left: 3 (78 enodes) 62.523 * * [simplify]: iters left: 2 (90 enodes) 62.548 * * [simplify]: iters left: 1 (94 enodes) 62.565 * * [simplify]: Extracting #0: cost 1 inf + 0 62.565 * * [simplify]: Extracting #1: cost 11 inf + 0 62.565 * * [simplify]: Extracting #2: cost 27 inf + 1 62.566 * * [simplify]: Extracting #3: cost 29 inf + 409 62.566 * * [simplify]: Extracting #4: cost 12 inf + 2359 62.566 * * [simplify]: Extracting #5: cost 2 inf + 4022 62.567 * * [simplify]: Extracting #6: cost 0 inf + 4466 62.568 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) 2)) 62.568 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 62.568 * * * * [progress]: [ 139 / 226 ] simplifiying candidate # 62.568 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) (sqrt 2)) 62.568 * * [simplify]: iters left: 6 (9 enodes) 62.574 * * [simplify]: iters left: 5 (36 enodes) 62.583 * * [simplify]: iters left: 4 (62 enodes) 62.597 * * [simplify]: iters left: 3 (78 enodes) 62.609 * * [simplify]: iters left: 2 (90 enodes) 62.621 * * [simplify]: iters left: 1 (94 enodes) 62.644 * * [simplify]: Extracting #0: cost 1 inf + 0 62.644 * * [simplify]: Extracting #1: cost 11 inf + 0 62.644 * * [simplify]: Extracting #2: cost 27 inf + 1 62.645 * * [simplify]: Extracting #3: cost 29 inf + 249 62.645 * * [simplify]: Extracting #4: cost 12 inf + 1879 62.646 * * [simplify]: Extracting #5: cost 2 inf + 3302 62.648 * * [simplify]: Extracting #6: cost 0 inf + 3666 62.649 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) 2)) 62.649 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (sqrt 2))) (/ (- 1 (sqrt k)) (* (sqrt 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 62.650 * * * * [progress]: [ 140 / 226 ] simplifiying candidate # 62.650 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) 2) 62.650 * * [simplify]: iters left: 6 (8 enodes) 62.655 * * [simplify]: iters left: 5 (34 enodes) 62.663 * * [simplify]: iters left: 4 (58 enodes) 62.671 * * [simplify]: iters left: 3 (65 enodes) 62.682 * * [simplify]: Extracting #0: cost 1 inf + 0 62.682 * * [simplify]: Extracting #1: cost 8 inf + 0 62.682 * * [simplify]: Extracting #2: cost 14 inf + 3 62.682 * * [simplify]: Extracting #3: cost 17 inf + 5 62.682 * * [simplify]: Extracting #4: cost 12 inf + 292 62.682 * * [simplify]: Extracting #5: cost 1 inf + 1355 62.682 * * [simplify]: Extracting #6: cost 0 inf + 1478 62.683 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 4) 62.683 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) 1)) (/ (- 1 (sqrt k)) 4)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 62.683 * * * * [progress]: [ 141 / 226 ] simplifiying candidate # 62.683 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) (cbrt 2)) 62.683 * * [simplify]: iters left: 6 (8 enodes) 62.686 * * [simplify]: iters left: 5 (33 enodes) 62.691 * * [simplify]: iters left: 4 (52 enodes) 62.700 * * [simplify]: iters left: 3 (62 enodes) 62.710 * * [simplify]: iters left: 2 (67 enodes) 62.723 * * [simplify]: Extracting #0: cost 1 inf + 0 62.723 * * [simplify]: Extracting #1: cost 9 inf + 0 62.723 * * [simplify]: Extracting #2: cost 23 inf + 0 62.723 * * [simplify]: Extracting #3: cost 24 inf + 285 62.723 * * [simplify]: Extracting #4: cost 18 inf + 975 62.724 * * [simplify]: Extracting #5: cost 7 inf + 2516 62.724 * * [simplify]: Extracting #6: cost 0 inf + 3891 62.725 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 62.725 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 62.725 * * * * [progress]: [ 142 / 226 ] simplifiying candidate # 62.725 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) (sqrt 2)) 62.725 * * [simplify]: iters left: 6 (9 enodes) 62.728 * * [simplify]: iters left: 5 (36 enodes) 62.735 * * [simplify]: iters left: 4 (58 enodes) 62.744 * * [simplify]: iters left: 3 (75 enodes) 62.765 * * [simplify]: iters left: 2 (87 enodes) 62.792 * * [simplify]: iters left: 1 (91 enodes) 62.817 * * [simplify]: Extracting #0: cost 1 inf + 0 62.817 * * [simplify]: Extracting #1: cost 11 inf + 0 62.817 * * [simplify]: Extracting #2: cost 30 inf + 0 62.818 * * [simplify]: Extracting #3: cost 36 inf + 83 62.818 * * [simplify]: Extracting #4: cost 30 inf + 451 62.819 * * [simplify]: Extracting #5: cost 10 inf + 3649 62.821 * * [simplify]: Extracting #6: cost 0 inf + 5431 62.822 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2))) 62.822 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 62.822 * * * * [progress]: [ 143 / 226 ] simplifiying candidate # 62.822 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) 2) 62.822 * * [simplify]: iters left: 6 (8 enodes) 62.825 * * [simplify]: iters left: 5 (33 enodes) 62.830 * * [simplify]: iters left: 4 (55 enodes) 62.839 * * [simplify]: iters left: 3 (73 enodes) 62.850 * * [simplify]: iters left: 2 (84 enodes) 62.869 * * [simplify]: iters left: 1 (87 enodes) 62.892 * * [simplify]: Extracting #0: cost 1 inf + 0 62.892 * * [simplify]: Extracting #1: cost 11 inf + 0 62.892 * * [simplify]: Extracting #2: cost 25 inf + 203 62.892 * * [simplify]: Extracting #3: cost 29 inf + 407 62.893 * * [simplify]: Extracting #4: cost 24 inf + 896 62.893 * * [simplify]: Extracting #5: cost 9 inf + 2805 62.895 * * [simplify]: Extracting #6: cost 0 inf + 4466 62.896 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (cbrt 2))) 62.896 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (- 1 (sqrt k)) (* 2 (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 62.897 * * * * [progress]: [ 144 / 226 ] simplifiying candidate # 62.897 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) (cbrt 2)) 62.897 * * [simplify]: iters left: 6 (9 enodes) 62.902 * * [simplify]: iters left: 5 (36 enodes) 62.917 * * [simplify]: iters left: 4 (58 enodes) 62.936 * * [simplify]: iters left: 3 (75 enodes) 62.957 * * [simplify]: iters left: 2 (87 enodes) 62.970 * * [simplify]: iters left: 1 (91 enodes) 62.982 * * [simplify]: Extracting #0: cost 1 inf + 0 62.983 * * [simplify]: Extracting #1: cost 11 inf + 0 62.983 * * [simplify]: Extracting #2: cost 30 inf + 0 62.983 * * [simplify]: Extracting #3: cost 36 inf + 43 62.983 * * [simplify]: Extracting #4: cost 30 inf + 451 62.983 * * [simplify]: Extracting #5: cost 10 inf + 3769 62.984 * * [simplify]: Extracting #6: cost 0 inf + 5431 62.985 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2))) 62.985 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 62.985 * * * * [progress]: [ 145 / 226 ] simplifiying candidate # 62.986 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) (sqrt 2)) 62.986 * * [simplify]: iters left: 6 (8 enodes) 62.991 * * [simplify]: iters left: 5 (33 enodes) 62.999 * * [simplify]: iters left: 4 (51 enodes) 63.007 * * [simplify]: iters left: 3 (59 enodes) 63.016 * * [simplify]: Extracting #0: cost 1 inf + 0 63.016 * * [simplify]: Extracting #1: cost 8 inf + 0 63.016 * * [simplify]: Extracting #2: cost 15 inf + 43 63.016 * * [simplify]: Extracting #3: cost 19 inf + 85 63.016 * * [simplify]: Extracting #4: cost 16 inf + 250 63.016 * * [simplify]: Extracting #5: cost 5 inf + 1311 63.016 * * [simplify]: Extracting #6: cost 0 inf + 1962 63.017 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 63.017 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (- 1 (sqrt k)) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 63.017 * * * * [progress]: [ 146 / 226 ] simplifiying candidate # 63.017 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) 2) 63.017 * * [simplify]: iters left: 6 (8 enodes) 63.022 * * [simplify]: iters left: 5 (33 enodes) 63.030 * * [simplify]: iters left: 4 (55 enodes) 63.047 * * [simplify]: iters left: 3 (73 enodes) 63.068 * * [simplify]: iters left: 2 (84 enodes) 63.091 * * [simplify]: iters left: 1 (87 enodes) 63.114 * * [simplify]: Extracting #0: cost 1 inf + 0 63.114 * * [simplify]: Extracting #1: cost 11 inf + 0 63.114 * * [simplify]: Extracting #2: cost 25 inf + 123 63.114 * * [simplify]: Extracting #3: cost 29 inf + 247 63.115 * * [simplify]: Extracting #4: cost 24 inf + 576 63.116 * * [simplify]: Extracting #5: cost 9 inf + 2245 63.117 * * [simplify]: Extracting #6: cost 0 inf + 3666 63.118 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (sqrt 2))) 63.118 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) 1)) (/ (- 1 (sqrt k)) (* 2 (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 63.119 * * * * [progress]: [ 147 / 226 ] simplifiying candidate # 63.119 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) (cbrt 2)) 63.119 * * [simplify]: iters left: 6 (8 enodes) 63.124 * * [simplify]: iters left: 5 (34 enodes) 63.136 * * [simplify]: iters left: 4 (54 enodes) 63.153 * * [simplify]: iters left: 3 (67 enodes) 63.175 * * [simplify]: iters left: 2 (80 enodes) 63.197 * * [simplify]: iters left: 1 (87 enodes) 63.220 * * [simplify]: Extracting #0: cost 1 inf + 0 63.220 * * [simplify]: Extracting #1: cost 11 inf + 0 63.220 * * [simplify]: Extracting #2: cost 25 inf + 203 63.220 * * [simplify]: Extracting #3: cost 26 inf + 773 63.221 * * [simplify]: Extracting #4: cost 24 inf + 896 63.221 * * [simplify]: Extracting #5: cost 8 inf + 3127 63.223 * * [simplify]: Extracting #6: cost 0 inf + 4466 63.224 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) 2)) 63.224 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 63.225 * * * * [progress]: [ 148 / 226 ] simplifiying candidate # 63.225 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) (sqrt 2)) 63.225 * * [simplify]: iters left: 6 (8 enodes) 63.230 * * [simplify]: iters left: 5 (34 enodes) 63.243 * * [simplify]: iters left: 4 (54 enodes) 63.260 * * [simplify]: iters left: 3 (67 enodes) 63.273 * * [simplify]: iters left: 2 (80 enodes) 63.284 * * [simplify]: iters left: 1 (87 enodes) 63.296 * * [simplify]: Extracting #0: cost 1 inf + 0 63.296 * * [simplify]: Extracting #1: cost 11 inf + 0 63.296 * * [simplify]: Extracting #2: cost 25 inf + 123 63.296 * * [simplify]: Extracting #3: cost 26 inf + 493 63.297 * * [simplify]: Extracting #4: cost 24 inf + 576 63.299 * * [simplify]: Extracting #5: cost 8 inf + 2527 63.301 * * [simplify]: Extracting #6: cost 0 inf + 3666 63.302 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) 2)) 63.302 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (sqrt 2))) (/ (- 1 (sqrt k)) (* (sqrt 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 63.302 * * * * [progress]: [ 149 / 226 ] simplifiying candidate # 63.303 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) 2) 63.303 * * [simplify]: iters left: 6 (7 enodes) 63.307 * * [simplify]: iters left: 5 (32 enodes) 63.319 * * [simplify]: iters left: 4 (50 enodes) 63.330 * * [simplify]: iters left: 3 (54 enodes) 63.337 * * [simplify]: Extracting #0: cost 1 inf + 0 63.337 * * [simplify]: Extracting #1: cost 8 inf + 0 63.338 * * [simplify]: Extracting #2: cost 13 inf + 3 63.338 * * [simplify]: Extracting #3: cost 15 inf + 5 63.338 * * [simplify]: Extracting #4: cost 14 inf + 6 63.338 * * [simplify]: Extracting #5: cost 4 inf + 825 63.338 * * [simplify]: Extracting #6: cost 0 inf + 1234 63.338 * [simplify]: Simplified to (- 1/4 (/ (sqrt k) 4)) 63.338 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 1)) (- 1/4 (/ (sqrt k) 4))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 63.339 * * * * [progress]: [ 150 / 226 ] simplifiying candidate # 63.339 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (cbrt 2)) 63.339 * * [simplify]: iters left: 6 (7 enodes) 63.341 * * [simplify]: iters left: 5 (30 enodes) 63.346 * * [simplify]: iters left: 4 (49 enodes) 63.354 * * [simplify]: iters left: 3 (59 enodes) 63.363 * * [simplify]: iters left: 2 (64 enodes) 63.372 * * [simplify]: Extracting #0: cost 1 inf + 0 63.372 * * [simplify]: Extracting #1: cost 9 inf + 0 63.372 * * [simplify]: Extracting #2: cost 23 inf + 0 63.372 * * [simplify]: Extracting #3: cost 24 inf + 3 63.372 * * [simplify]: Extracting #4: cost 15 inf + 980 63.373 * * [simplify]: Extracting #5: cost 1 inf + 3007 63.373 * * [simplify]: Extracting #6: cost 0 inf + 3169 63.374 * [simplify]: Simplified to (/ (- 1 k) (* (cbrt 2) (cbrt 2))) 63.374 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 63.374 * * * * [progress]: [ 151 / 226 ] simplifiying candidate # 63.374 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 63.374 * * [simplify]: iters left: 6 (8 enodes) 63.377 * * [simplify]: iters left: 5 (33 enodes) 63.383 * * [simplify]: iters left: 4 (55 enodes) 63.394 * * [simplify]: iters left: 3 (72 enodes) 63.414 * * [simplify]: iters left: 2 (84 enodes) 63.429 * * [simplify]: iters left: 1 (88 enodes) 63.441 * * [simplify]: Extracting #0: cost 1 inf + 0 63.441 * * [simplify]: Extracting #1: cost 11 inf + 0 63.441 * * [simplify]: Extracting #2: cost 30 inf + 0 63.442 * * [simplify]: Extracting #3: cost 33 inf + 84 63.442 * * [simplify]: Extracting #4: cost 12 inf + 2402 63.443 * * [simplify]: Extracting #5: cost 0 inf + 4469 63.443 * [simplify]: Simplified to (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 63.443 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 63.444 * * * * [progress]: [ 152 / 226 ] simplifiying candidate # 63.444 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) 2) 63.444 * * [simplify]: iters left: 6 (7 enodes) 63.446 * * [simplify]: iters left: 5 (30 enodes) 63.452 * * [simplify]: iters left: 4 (52 enodes) 63.460 * * [simplify]: iters left: 3 (70 enodes) 63.480 * * [simplify]: iters left: 2 (81 enodes) 63.498 * * [simplify]: iters left: 1 (84 enodes) 63.510 * * [simplify]: Extracting #0: cost 1 inf + 0 63.510 * * [simplify]: Extracting #1: cost 11 inf + 0 63.510 * * [simplify]: Extracting #2: cost 25 inf + 203 63.511 * * [simplify]: Extracting #3: cost 25 inf + 530 63.511 * * [simplify]: Extracting #4: cost 4 inf + 2936 63.512 * * [simplify]: Extracting #5: cost 0 inf + 3504 63.512 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (cbrt 2)) 63.512 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) 2) (cbrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 63.512 * * * * [progress]: [ 153 / 226 ] simplifiying candidate # 63.513 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 63.513 * * [simplify]: iters left: 6 (8 enodes) 63.515 * * [simplify]: iters left: 5 (33 enodes) 63.522 * * [simplify]: iters left: 4 (55 enodes) 63.540 * * [simplify]: iters left: 3 (72 enodes) 63.561 * * [simplify]: iters left: 2 (84 enodes) 63.585 * * [simplify]: iters left: 1 (88 enodes) 63.608 * * [simplify]: Extracting #0: cost 1 inf + 0 63.608 * * [simplify]: Extracting #1: cost 11 inf + 0 63.609 * * [simplify]: Extracting #2: cost 30 inf + 0 63.609 * * [simplify]: Extracting #3: cost 33 inf + 44 63.609 * * [simplify]: Extracting #4: cost 12 inf + 2362 63.611 * * [simplify]: Extracting #5: cost 0 inf + 4469 63.612 * [simplify]: Simplified to (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 63.612 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 63.613 * * * * [progress]: [ 154 / 226 ] simplifiying candidate # 63.613 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (sqrt 2)) 63.613 * * [simplify]: iters left: 6 (7 enodes) 63.617 * * [simplify]: iters left: 5 (30 enodes) 63.628 * * [simplify]: iters left: 4 (48 enodes) 63.647 * * [simplify]: iters left: 3 (56 enodes) 63.662 * * [simplify]: Extracting #0: cost 1 inf + 0 63.663 * * [simplify]: Extracting #1: cost 8 inf + 0 63.663 * * [simplify]: Extracting #2: cost 15 inf + 43 63.663 * * [simplify]: Extracting #3: cost 16 inf + 86 63.663 * * [simplify]: Extracting #4: cost 5 inf + 911 63.664 * * [simplify]: Extracting #5: cost 1 inf + 1198 63.664 * * [simplify]: Extracting #6: cost 0 inf + 1320 63.665 * [simplify]: Simplified to (/ (- 1 k) 2) 63.665 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (- 1 k) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 63.665 * * * * [progress]: [ 155 / 226 ] simplifiying candidate # 63.666 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) 2) 63.666 * * [simplify]: iters left: 6 (7 enodes) 63.670 * * [simplify]: iters left: 5 (30 enodes) 63.680 * * [simplify]: iters left: 4 (52 enodes) 63.698 * * [simplify]: iters left: 3 (70 enodes) 63.717 * * [simplify]: iters left: 2 (81 enodes) 63.739 * * [simplify]: iters left: 1 (84 enodes) 63.761 * * [simplify]: Extracting #0: cost 1 inf + 0 63.761 * * [simplify]: Extracting #1: cost 11 inf + 0 63.761 * * [simplify]: Extracting #2: cost 25 inf + 123 63.762 * * [simplify]: Extracting #3: cost 25 inf + 330 63.763 * * [simplify]: Extracting #4: cost 4 inf + 2256 63.764 * * [simplify]: Extracting #5: cost 0 inf + 2704 63.765 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (sqrt 2)) 63.765 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) 2) (sqrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 63.765 * * * * [progress]: [ 156 / 226 ] simplifiying candidate # 63.766 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2)) 63.766 * * [simplify]: iters left: 6 (7 enodes) 63.771 * * [simplify]: iters left: 5 (31 enodes) 63.782 * * [simplify]: iters left: 4 (51 enodes) 63.800 * * [simplify]: iters left: 3 (64 enodes) 63.819 * * [simplify]: iters left: 2 (77 enodes) 63.840 * * [simplify]: iters left: 1 (84 enodes) 63.862 * * [simplify]: Extracting #0: cost 1 inf + 0 63.862 * * [simplify]: Extracting #1: cost 11 inf + 0 63.862 * * [simplify]: Extracting #2: cost 26 inf + 82 63.862 * * [simplify]: Extracting #3: cost 24 inf + 692 63.863 * * [simplify]: Extracting #4: cost 3 inf + 3057 63.864 * * [simplify]: Extracting #5: cost 0 inf + 3504 63.865 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2))) 63.865 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* 2 (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 63.865 * * * * [progress]: [ 157 / 226 ] simplifiying candidate # 63.866 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2)) 63.866 * * [simplify]: iters left: 6 (7 enodes) 63.870 * * [simplify]: iters left: 5 (31 enodes) 63.876 * * [simplify]: iters left: 4 (51 enodes) 63.884 * * [simplify]: iters left: 3 (64 enodes) 63.893 * * [simplify]: iters left: 2 (77 enodes) 63.907 * * [simplify]: iters left: 1 (84 enodes) 63.933 * * [simplify]: Extracting #0: cost 1 inf + 0 63.933 * * [simplify]: Extracting #1: cost 11 inf + 0 63.933 * * [simplify]: Extracting #2: cost 26 inf + 42 63.933 * * [simplify]: Extracting #3: cost 24 inf + 452 63.934 * * [simplify]: Extracting #4: cost 3 inf + 2337 63.936 * * [simplify]: Extracting #5: cost 0 inf + 2704 63.937 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2))) 63.937 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 63.937 * * * * [progress]: [ 158 / 226 ] simplifiying candidate # 63.938 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2) 63.938 * * [simplify]: iters left: 6 (6 enodes) 63.942 * * [simplify]: iters left: 5 (29 enodes) 63.953 * * [simplify]: iters left: 4 (44 enodes) 63.966 * * [simplify]: iters left: 3 (50 enodes) 63.982 * * [simplify]: iters left: 2 (57 enodes) 63.998 * * [simplify]: Extracting #0: cost 1 inf + 0 63.998 * * [simplify]: Extracting #1: cost 9 inf + 0 63.998 * * [simplify]: Extracting #2: cost 15 inf + 3 63.998 * * [simplify]: Extracting #3: cost 11 inf + 131 63.998 * * [simplify]: Extracting #4: cost 2 inf + 711 63.999 * * [simplify]: Extracting #5: cost 0 inf + 836 63.999 * [simplify]: Simplified to (- 1/4 (/ k 4)) 63.999 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) (- 1/4 (/ k 4))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 63.999 * * * * [progress]: [ 159 / 226 ] simplifiying candidate # 64.000 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2)) 64.000 * * [simplify]: iters left: 6 (7 enodes) 64.005 * * [simplify]: iters left: 5 (31 enodes) 64.015 * * [simplify]: iters left: 4 (51 enodes) 64.031 * * [simplify]: iters left: 3 (64 enodes) 64.050 * * [simplify]: iters left: 2 (77 enodes) 64.071 * * [simplify]: iters left: 1 (84 enodes) 64.096 * * [simplify]: Extracting #0: cost 1 inf + 0 64.096 * * [simplify]: Extracting #1: cost 11 inf + 0 64.096 * * [simplify]: Extracting #2: cost 26 inf + 82 64.096 * * [simplify]: Extracting #3: cost 24 inf + 692 64.097 * * [simplify]: Extracting #4: cost 3 inf + 3057 64.098 * * [simplify]: Extracting #5: cost 0 inf + 3504 64.100 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2))) 64.100 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* 2 (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 64.100 * * * * [progress]: [ 160 / 226 ] simplifiying candidate # 64.100 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2)) 64.100 * * [simplify]: iters left: 6 (7 enodes) 64.105 * * [simplify]: iters left: 5 (31 enodes) 64.115 * * [simplify]: iters left: 4 (51 enodes) 64.128 * * [simplify]: iters left: 3 (64 enodes) 64.138 * * [simplify]: iters left: 2 (77 enodes) 64.149 * * [simplify]: iters left: 1 (84 enodes) 64.162 * * [simplify]: Extracting #0: cost 1 inf + 0 64.162 * * [simplify]: Extracting #1: cost 11 inf + 0 64.162 * * [simplify]: Extracting #2: cost 26 inf + 42 64.163 * * [simplify]: Extracting #3: cost 24 inf + 452 64.164 * * [simplify]: Extracting #4: cost 3 inf + 2337 64.165 * * [simplify]: Extracting #5: cost 0 inf + 2704 64.166 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2))) 64.166 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 64.166 * * * * [progress]: [ 161 / 226 ] simplifiying candidate # 64.166 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2) 64.167 * * [simplify]: iters left: 6 (6 enodes) 64.172 * * [simplify]: iters left: 5 (29 enodes) 64.182 * * [simplify]: iters left: 4 (44 enodes) 64.196 * * [simplify]: iters left: 3 (50 enodes) 64.213 * * [simplify]: iters left: 2 (57 enodes) 64.230 * * [simplify]: Extracting #0: cost 1 inf + 0 64.230 * * [simplify]: Extracting #1: cost 9 inf + 0 64.230 * * [simplify]: Extracting #2: cost 15 inf + 3 64.230 * * [simplify]: Extracting #3: cost 11 inf + 131 64.230 * * [simplify]: Extracting #4: cost 2 inf + 711 64.231 * * [simplify]: Extracting #5: cost 0 inf + 836 64.231 * [simplify]: Simplified to (- 1/4 (/ k 4)) 64.231 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 1)) (- 1/4 (/ k 4))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 64.232 * * * * [progress]: [ 162 / 226 ] simplifiying candidate # 64.232 * [simplify]: Simplifying (/ (/ 1 2) (cbrt 2)) 64.232 * * [simplify]: iters left: 4 (5 enodes) 64.236 * * [simplify]: iters left: 3 (20 enodes) 64.244 * * [simplify]: iters left: 2 (27 enodes) 64.252 * * [simplify]: iters left: 1 (29 enodes) 64.261 * * [simplify]: Extracting #0: cost 1 inf + 0 64.261 * * [simplify]: Extracting #1: cost 8 inf + 0 64.262 * * [simplify]: Extracting #2: cost 4 inf + 449 64.262 * * [simplify]: Extracting #3: cost 0 inf + 895 64.262 * [simplify]: Simplified to (/ 1/2 (cbrt 2)) 64.262 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) (/ 1/2 (cbrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 64.262 * * * * [progress]: [ 163 / 226 ] simplifiying candidate # 64.263 * [simplify]: Simplifying (/ (/ 1 2) (sqrt 2)) 64.263 * * [simplify]: iters left: 4 (5 enodes) 64.267 * * [simplify]: iters left: 3 (20 enodes) 64.274 * * [simplify]: iters left: 2 (27 enodes) 64.284 * * [simplify]: iters left: 1 (29 enodes) 64.291 * * [simplify]: Extracting #0: cost 1 inf + 0 64.291 * * [simplify]: Extracting #1: cost 8 inf + 0 64.292 * * [simplify]: Extracting #2: cost 4 inf + 289 64.292 * * [simplify]: Extracting #3: cost 0 inf + 575 64.292 * [simplify]: Simplified to (/ 1/2 (sqrt 2)) 64.292 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (- 1 k) (sqrt 2))) (/ 1/2 (sqrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 64.292 * * * * [progress]: [ 164 / 226 ] simplifiying candidate # 64.292 * [simplify]: Simplifying (/ (/ 1 2) 2) 64.292 * * [simplify]: iters left: 4 (4 enodes) 64.295 * * [simplify]: iters left: 3 (19 enodes) 64.298 * * [simplify]: iters left: 2 (23 enodes) 64.302 * * [simplify]: Extracting #0: cost 1 inf + 0 64.302 * * [simplify]: Extracting #1: cost 0 inf + 1 64.302 * [simplify]: Simplified to 1/4 64.302 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (- 1 k) 1)) 1/4) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 64.302 * * * * [progress]: [ 165 / 226 ] simplifiying candidate # 64.303 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2) 64.303 * * [simplify]: iters left: 6 (6 enodes) 64.305 * * [simplify]: iters left: 5 (29 enodes) 64.310 * * [simplify]: iters left: 4 (44 enodes) 64.317 * * [simplify]: iters left: 3 (50 enodes) 64.333 * * [simplify]: iters left: 2 (57 enodes) 64.353 * * [simplify]: Extracting #0: cost 1 inf + 0 64.353 * * [simplify]: Extracting #1: cost 9 inf + 0 64.353 * * [simplify]: Extracting #2: cost 15 inf + 3 64.353 * * [simplify]: Extracting #3: cost 11 inf + 131 64.354 * * [simplify]: Extracting #4: cost 2 inf + 711 64.354 * * [simplify]: Extracting #5: cost 0 inf + 836 64.355 * [simplify]: Simplified to (- 1/4 (/ k 4)) 64.355 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (- 1/4 (/ k 4))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 64.355 * * * * [progress]: [ 166 / 226 ] simplifiying candidate # 64.355 * [simplify]: Simplifying (/ 1 2) 64.355 * * [simplify]: iters left: 2 (3 enodes) 64.358 * * [simplify]: iters left: 1 (12 enodes) 64.361 * * [simplify]: Extracting #0: cost 1 inf + 0 64.361 * * [simplify]: Extracting #1: cost 0 inf + 1 64.361 * [simplify]: Simplified to 1/2 64.361 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1/2) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 64.361 * * * * [progress]: [ 167 / 226 ] simplifiying candidate # 64.361 * [simplify]: Simplifying (pow n (/ (/ (- 1 k) 2) 2)) 64.361 * * [simplify]: iters left: 6 (8 enodes) 64.364 * * [simplify]: iters left: 5 (38 enodes) 64.371 * * [simplify]: iters left: 4 (66 enodes) 64.384 * * [simplify]: iters left: 3 (110 enodes) 64.416 * * [simplify]: iters left: 2 (200 enodes) 64.485 * * [simplify]: iters left: 1 (403 enodes) 64.630 * * [simplify]: Extracting #0: cost 1 inf + 0 64.630 * * [simplify]: Extracting #1: cost 26 inf + 0 64.631 * * [simplify]: Extracting #2: cost 100 inf + 2 64.632 * * [simplify]: Extracting #3: cost 164 inf + 10 64.634 * * [simplify]: Extracting #4: cost 157 inf + 1472 64.640 * * [simplify]: Extracting #5: cost 64 inf + 19273 64.655 * * [simplify]: Extracting #6: cost 8 inf + 47461 64.672 * * [simplify]: Extracting #7: cost 0 inf + 52807 64.689 * [simplify]: Simplified to (pow n (- 1/4 (/ k 4))) 64.689 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow n (- 1/4 (/ k 4))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 64.689 * * * * [progress]: [ 168 / 226 ] simplifiying candidate # 64.689 * * * * [progress]: [ 169 / 226 ] simplifiying candidate # 64.689 * * * * [progress]: [ 170 / 226 ] simplifiying candidate # 64.689 * * * * [progress]: [ 171 / 226 ] simplifiying candidate # 64.689 * * * * [progress]: [ 172 / 226 ] simplifiying candidate # 64.689 * * * * [progress]: [ 173 / 226 ] simplifiying candidate # 64.689 * * * * [progress]: [ 174 / 226 ] simplifiying candidate # 64.689 * * * * [progress]: [ 175 / 226 ] simplifiying candidate # 64.690 * * * * [progress]: [ 176 / 226 ] simplifiying candidate #real (real->posit16 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))> 64.690 * * * * [progress]: [ 177 / 226 ] simplifiying candidate # 64.690 * [simplify]: Simplifying (* n (* 2 PI)) 64.690 * * [simplify]: iters left: 4 (5 enodes) 64.693 * * [simplify]: iters left: 3 (19 enodes) 64.699 * * [simplify]: iters left: 2 (27 enodes) 64.707 * * [simplify]: iters left: 1 (32 enodes) 64.715 * * [simplify]: Extracting #0: cost 1 inf + 0 64.716 * * [simplify]: Extracting #1: cost 8 inf + 0 64.716 * * [simplify]: Extracting #2: cost 7 inf + 45 64.716 * * [simplify]: Extracting #3: cost 0 inf + 421 64.716 * [simplify]: Simplified to (* (* PI 2) n) 64.716 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* (* PI 2) n) 1) (/ (/ (- 1 k) 2) 2))))) 64.716 * * * * [progress]: [ 178 / 226 ] simplifiying candidate # 64.717 * [simplify]: Simplifying (* n (* 2 PI)) 64.717 * * [simplify]: iters left: 4 (5 enodes) 64.720 * * [simplify]: iters left: 3 (19 enodes) 64.726 * * [simplify]: iters left: 2 (27 enodes) 64.734 * * [simplify]: iters left: 1 (32 enodes) 64.743 * * [simplify]: Extracting #0: cost 1 inf + 0 64.743 * * [simplify]: Extracting #1: cost 8 inf + 0 64.743 * * [simplify]: Extracting #2: cost 7 inf + 45 64.743 * * [simplify]: Extracting #3: cost 0 inf + 421 64.743 * [simplify]: Simplified to (* (* PI 2) n) 64.743 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* (* PI 2) n) 1) (/ (/ (- 1 k) 2) 2))))) 64.744 * * * * [progress]: [ 179 / 226 ] simplifiying candidate # 64.744 * * * * [progress]: [ 180 / 226 ] simplifiying candidate # 64.744 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI))) 64.744 * * [simplify]: iters left: 5 (8 enodes) 64.748 * * [simplify]: iters left: 4 (28 enodes) 64.758 * * [simplify]: iters left: 3 (36 enodes) 64.768 * * [simplify]: iters left: 2 (42 enodes) 64.783 * * [simplify]: Extracting #0: cost 1 inf + 0 64.783 * * [simplify]: Extracting #1: cost 8 inf + 0 64.783 * * [simplify]: Extracting #2: cost 17 inf + 0 64.783 * * [simplify]: Extracting #3: cost 12 inf + 145 64.783 * * [simplify]: Extracting #4: cost 5 inf + 1197 64.784 * * [simplify]: Extracting #5: cost 1 inf + 1925 64.784 * * [simplify]: Extracting #6: cost 0 inf + 2107 64.785 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI))) 64.785 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (/ (- 1 k) 2) 2))))) 64.785 * * * * [progress]: [ 181 / 226 ] simplifiying candidate # 64.786 * [simplify]: Simplifying (+ (log n) (log (* 2 PI))) 64.786 * * [simplify]: iters left: 5 (7 enodes) 64.789 * * [simplify]: iters left: 4 (26 enodes) 64.797 * * [simplify]: iters left: 3 (35 enodes) 64.804 * * [simplify]: iters left: 2 (44 enodes) 64.810 * * [simplify]: Extracting #0: cost 1 inf + 0 64.810 * * [simplify]: Extracting #1: cost 8 inf + 0 64.810 * * [simplify]: Extracting #2: cost 18 inf + 0 64.811 * * [simplify]: Extracting #3: cost 15 inf + 74 64.811 * * [simplify]: Extracting #4: cost 8 inf + 554 64.811 * * [simplify]: Extracting #5: cost 0 inf + 1911 64.811 * [simplify]: Simplified to (+ (log n) (log (* 2 PI))) 64.811 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (exp (+ (log n) (log (* 2 PI)))) (/ (/ (- 1 k) 2) 2))))) 64.811 * * * * [progress]: [ 182 / 226 ] simplifiying candidate # 64.811 * * * * [progress]: [ 183 / 226 ] simplifiying candidate # 64.811 * * * * [progress]: [ 184 / 226 ] simplifiying candidate # 64.812 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI))) 64.812 * * [simplify]: iters left: 6 (11 enodes) 64.816 * * [simplify]: iters left: 5 (48 enodes) 64.825 * * [simplify]: iters left: 4 (121 enodes) 64.875 * * [simplify]: iters left: 3 (348 enodes) 65.055 * * [simplify]: Extracting #0: cost 1 inf + 0 65.056 * * [simplify]: Extracting #1: cost 67 inf + 0 65.056 * * [simplify]: Extracting #2: cost 165 inf + 786 65.059 * * [simplify]: Extracting #3: cost 85 inf + 10177 65.065 * * [simplify]: Extracting #4: cost 9 inf + 26399 65.078 * * [simplify]: Extracting #5: cost 0 inf + 28546 65.086 * * [simplify]: Extracting #6: cost 0 inf + 28506 65.092 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI)) 65.092 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (cbrt (* (* (* (* n PI) (* n PI)) 8) (* n PI))) (/ (/ (- 1 k) 2) 2))))) 65.092 * * * * [progress]: [ 185 / 226 ] simplifiying candidate # 65.095 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI))) 65.095 * * [simplify]: iters left: 6 (9 enodes) 65.098 * * [simplify]: iters left: 5 (45 enodes) 65.108 * * [simplify]: iters left: 4 (117 enodes) 65.155 * * [simplify]: iters left: 3 (374 enodes) 65.473 * * [simplify]: Extracting #0: cost 1 inf + 0 65.473 * * [simplify]: Extracting #1: cost 77 inf + 0 65.474 * * [simplify]: Extracting #2: cost 184 inf + 984 65.478 * * [simplify]: Extracting #3: cost 106 inf + 11690 65.486 * * [simplify]: Extracting #4: cost 6 inf + 30376 65.498 * * [simplify]: Extracting #5: cost 0 inf + 31644 65.516 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n)) 65.516 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (cbrt (* (* (* (* PI n) (* PI n)) 8) (* PI n))) (/ (/ (- 1 k) 2) 2))))) 65.516 * * * * [progress]: [ 186 / 226 ] simplifiying candidate # 65.516 * * * * [progress]: [ 187 / 226 ] simplifiying candidate # 65.516 * * * * [progress]: [ 188 / 226 ] simplifiying candidate # 65.516 * * * * [progress]: [ 189 / 226 ] simplifiying candidate # 65.516 * * * * [progress]: [ 190 / 226 ] simplifiying candidate # 65.516 * * * * [progress]: [ 191 / 226 ] simplifiying candidate # 65.517 * [simplify]: Simplifying (* (cbrt n) (cbrt n)) 65.517 * * [simplify]: iters left: 3 (3 enodes) 65.517 * * [simplify]: iters left: 2 (9 enodes) 65.519 * * [simplify]: Extracting #0: cost 1 inf + 0 65.519 * * [simplify]: Extracting #1: cost 3 inf + 0 65.519 * * [simplify]: Extracting #2: cost 5 inf + 0 65.519 * * [simplify]: Extracting #3: cost 4 inf + 1 65.519 * * [simplify]: Extracting #4: cost 0 inf + 405 65.519 * [simplify]: Simplified to (* (cbrt n) (cbrt n)) 65.519 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (/ (- 1 k) 2) 2))))) 65.519 * * * * [progress]: [ 192 / 226 ] simplifiying candidate # 65.519 * [simplify]: Simplifying (sqrt n) 65.519 * * [simplify]: iters left: 1 (2 enodes) 65.520 * * [simplify]: Extracting #0: cost 1 inf + 0 65.520 * * [simplify]: Extracting #1: cost 3 inf + 0 65.520 * * [simplify]: Extracting #2: cost 2 inf + 1 65.520 * * [simplify]: Extracting #3: cost 0 inf + 83 65.520 * [simplify]: Simplified to (sqrt n) 65.520 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (/ (- 1 k) 2) 2))))) 65.520 * * * * [progress]: [ 193 / 226 ] simplifiying candidate # 65.520 * * * * [progress]: [ 194 / 226 ] simplifiying candidate #real (real->posit16 (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)))))> 65.520 * * * * [progress]: [ 195 / 226 ] simplifiying candidate # 65.520 * * * * [progress]: [ 196 / 226 ] simplifiying candidate # 65.520 * [simplify]: Simplifying (* n (* 2 PI)) 65.520 * * [simplify]: iters left: 4 (5 enodes) 65.522 * * [simplify]: iters left: 3 (19 enodes) 65.525 * * [simplify]: iters left: 2 (27 enodes) 65.529 * * [simplify]: iters left: 1 (32 enodes) 65.534 * * [simplify]: Extracting #0: cost 1 inf + 0 65.534 * * [simplify]: Extracting #1: cost 8 inf + 0 65.534 * * [simplify]: Extracting #2: cost 7 inf + 45 65.534 * * [simplify]: Extracting #3: cost 0 inf + 421 65.534 * [simplify]: Simplified to (* (* PI 2) n) 65.534 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) 1) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 65.534 * * * * [progress]: [ 197 / 226 ] simplifiying candidate # 65.534 * [simplify]: Simplifying (* n (* 2 PI)) 65.534 * * [simplify]: iters left: 4 (5 enodes) 65.536 * * [simplify]: iters left: 3 (19 enodes) 65.541 * * [simplify]: iters left: 2 (27 enodes) 65.548 * * [simplify]: iters left: 1 (32 enodes) 65.557 * * [simplify]: Extracting #0: cost 1 inf + 0 65.557 * * [simplify]: Extracting #1: cost 8 inf + 0 65.557 * * [simplify]: Extracting #2: cost 7 inf + 45 65.557 * * [simplify]: Extracting #3: cost 0 inf + 421 65.558 * [simplify]: Simplified to (* (* PI 2) n) 65.558 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) 1) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 65.558 * * * * [progress]: [ 198 / 226 ] simplifiying candidate # 65.558 * * * * [progress]: [ 199 / 226 ] simplifiying candidate # 65.558 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI))) 65.558 * * [simplify]: iters left: 5 (8 enodes) 65.563 * * [simplify]: iters left: 4 (28 enodes) 65.572 * * [simplify]: iters left: 3 (36 enodes) 65.582 * * [simplify]: iters left: 2 (42 enodes) 65.588 * * [simplify]: Extracting #0: cost 1 inf + 0 65.588 * * [simplify]: Extracting #1: cost 8 inf + 0 65.588 * * [simplify]: Extracting #2: cost 17 inf + 0 65.588 * * [simplify]: Extracting #3: cost 12 inf + 145 65.588 * * [simplify]: Extracting #4: cost 5 inf + 1197 65.588 * * [simplify]: Extracting #5: cost 1 inf + 1925 65.589 * * [simplify]: Extracting #6: cost 0 inf + 2107 65.589 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI))) 65.589 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 65.589 * * * * [progress]: [ 200 / 226 ] simplifiying candidate # 65.589 * [simplify]: Simplifying (+ (log n) (log (* 2 PI))) 65.589 * * [simplify]: iters left: 5 (7 enodes) 65.591 * * [simplify]: iters left: 4 (26 enodes) 65.596 * * [simplify]: iters left: 3 (35 enodes) 65.601 * * [simplify]: iters left: 2 (44 enodes) 65.607 * * [simplify]: Extracting #0: cost 1 inf + 0 65.607 * * [simplify]: Extracting #1: cost 8 inf + 0 65.607 * * [simplify]: Extracting #2: cost 18 inf + 0 65.607 * * [simplify]: Extracting #3: cost 15 inf + 74 65.608 * * [simplify]: Extracting #4: cost 8 inf + 554 65.608 * * [simplify]: Extracting #5: cost 0 inf + 1911 65.608 * [simplify]: Simplified to (+ (log n) (log (* 2 PI))) 65.608 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (exp (+ (log n) (log (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 65.608 * * * * [progress]: [ 201 / 226 ] simplifiying candidate # 65.608 * * * * [progress]: [ 202 / 226 ] simplifiying candidate # 65.608 * * * * [progress]: [ 203 / 226 ] simplifiying candidate # 65.609 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI))) 65.609 * * [simplify]: iters left: 6 (11 enodes) 65.613 * * [simplify]: iters left: 5 (48 enodes) 65.633 * * [simplify]: iters left: 4 (121 enodes) 65.691 * * [simplify]: iters left: 3 (348 enodes) 65.905 * * [simplify]: Extracting #0: cost 1 inf + 0 65.906 * * [simplify]: Extracting #1: cost 67 inf + 0 65.906 * * [simplify]: Extracting #2: cost 165 inf + 786 65.909 * * [simplify]: Extracting #3: cost 85 inf + 10177 65.915 * * [simplify]: Extracting #4: cost 9 inf + 26399 65.922 * * [simplify]: Extracting #5: cost 0 inf + 28546 65.931 * * [simplify]: Extracting #6: cost 0 inf + 28506 65.941 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI)) 65.941 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (cbrt (* (* (* (* n PI) (* n PI)) 8) (* n PI))) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 65.941 * * * * [progress]: [ 204 / 226 ] simplifiying candidate # 65.941 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI))) 65.941 * * [simplify]: iters left: 6 (9 enodes) 65.944 * * [simplify]: iters left: 5 (45 enodes) 65.954 * * [simplify]: iters left: 4 (117 enodes) 66.006 * * [simplify]: iters left: 3 (374 enodes) 66.296 * * [simplify]: Extracting #0: cost 1 inf + 0 66.296 * * [simplify]: Extracting #1: cost 77 inf + 0 66.297 * * [simplify]: Extracting #2: cost 184 inf + 984 66.304 * * [simplify]: Extracting #3: cost 106 inf + 11690 66.321 * * [simplify]: Extracting #4: cost 6 inf + 30376 66.332 * * [simplify]: Extracting #5: cost 0 inf + 31644 66.341 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n)) 66.341 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (cbrt (* (* (* (* PI n) (* PI n)) 8) (* PI n))) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 66.341 * * * * [progress]: [ 205 / 226 ] simplifiying candidate # 66.341 * * * * [progress]: [ 206 / 226 ] simplifiying candidate # 66.342 * * * * [progress]: [ 207 / 226 ] simplifiying candidate # 66.342 * * * * [progress]: [ 208 / 226 ] simplifiying candidate # 66.342 * * * * [progress]: [ 209 / 226 ] simplifiying candidate # 66.342 * * * * [progress]: [ 210 / 226 ] simplifiying candidate # 66.342 * [simplify]: Simplifying (* (cbrt n) (cbrt n)) 66.342 * * [simplify]: iters left: 3 (3 enodes) 66.343 * * [simplify]: iters left: 2 (9 enodes) 66.344 * * [simplify]: Extracting #0: cost 1 inf + 0 66.344 * * [simplify]: Extracting #1: cost 3 inf + 0 66.344 * * [simplify]: Extracting #2: cost 5 inf + 0 66.344 * * [simplify]: Extracting #3: cost 4 inf + 1 66.344 * * [simplify]: Extracting #4: cost 0 inf + 405 66.344 * [simplify]: Simplified to (* (cbrt n) (cbrt n)) 66.344 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 66.344 * * * * [progress]: [ 211 / 226 ] simplifiying candidate # 66.344 * [simplify]: Simplifying (sqrt n) 66.344 * * [simplify]: iters left: 1 (2 enodes) 66.345 * * [simplify]: Extracting #0: cost 1 inf + 0 66.345 * * [simplify]: Extracting #1: cost 3 inf + 0 66.345 * * [simplify]: Extracting #2: cost 2 inf + 1 66.345 * * [simplify]: Extracting #3: cost 0 inf + 83 66.345 * [simplify]: Simplified to (sqrt n) 66.345 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 66.345 * * * * [progress]: [ 212 / 226 ] simplifiying candidate # 66.345 * * * * [progress]: [ 213 / 226 ] simplifiying candidate #real (real->posit16 (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))> 66.345 * * * * [progress]: [ 214 / 226 ] simplifiying candidate # 66.345 * * * * [progress]: [ 215 / 226 ] simplifiying candidate # 66.345 * [simplify]: Simplifying (- (+ (* 1/16 (* (log (* 2 PI)) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/32 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/4 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/4 (* k (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI))))))) 66.346 * * [simplify]: iters left: 6 (37 enodes) 66.357 * * [simplify]: iters left: 5 (190 enodes) 66.434 * * [simplify]: Extracting #0: cost 1 inf + 0 66.434 * * [simplify]: Extracting #1: cost 18 inf + 0 66.434 * * [simplify]: Extracting #2: cost 85 inf + 0 66.435 * * [simplify]: Extracting #3: cost 169 inf + 45 66.436 * * [simplify]: Extracting #4: cost 194 inf + 581 66.441 * * [simplify]: Extracting #5: cost 128 inf + 18118 66.450 * * [simplify]: Extracting #6: cost 27 inf + 64733 66.465 * * [simplify]: Extracting #7: cost 1 inf + 82414 66.481 * * [simplify]: Extracting #8: cost 0 inf + 81915 66.505 * * [simplify]: Extracting #9: cost 0 inf + 81594 66.538 * [simplify]: Simplified to (+ (+ (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (* (log (* PI 2)) 1/16) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (* k k) (log n))))) (- (* 1/32 (* (* k k) (+ (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (log (* PI 2)) (log (* PI 2))))))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/4))))) 1/4))) 66.538 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (+ (+ (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (* (log (* PI 2)) 1/16) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (* k k) (log n))))) (- (* 1/32 (* (* k k) (+ (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (log (* PI 2)) (log (* PI 2))))))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/4))))) 1/4)))))) 66.538 * * * * [progress]: [ 216 / 226 ] simplifiying candidate # 66.539 * [simplify]: Simplifying (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 66.539 * * [simplify]: iters left: 6 (15 enodes) 66.548 * * [simplify]: iters left: 5 (65 enodes) 66.572 * * [simplify]: iters left: 4 (123 enodes) 66.602 * * [simplify]: iters left: 3 (360 enodes) 66.732 * * [simplify]: Extracting #0: cost 1 inf + 0 66.733 * * [simplify]: Extracting #1: cost 37 inf + 0 66.733 * * [simplify]: Extracting #2: cost 214 inf + 1 66.735 * * [simplify]: Extracting #3: cost 351 inf + 1827 66.740 * * [simplify]: Extracting #4: cost 217 inf + 29927 66.761 * * [simplify]: Extracting #5: cost 35 inf + 80289 66.780 * * [simplify]: Extracting #6: cost 0 inf + 89737 66.799 * * [simplify]: Extracting #7: cost 0 inf + 88848 66.815 * * [simplify]: Extracting #8: cost 0 inf + 88843 66.834 * [simplify]: Simplified to (exp (* (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)) 1/4)) 66.834 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (exp (* (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)) 1/4))))) 66.835 * * * * [progress]: [ 217 / 226 ] simplifiying candidate # 66.835 * [simplify]: Simplifying (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 66.835 * * [simplify]: iters left: 6 (16 enodes) 66.846 * * [simplify]: iters left: 5 (67 enodes) 66.870 * * [simplify]: iters left: 4 (134 enodes) 66.934 * * [simplify]: iters left: 3 (406 enodes) 67.096 * * [simplify]: Extracting #0: cost 1 inf + 0 67.096 * * [simplify]: Extracting #1: cost 39 inf + 0 67.097 * * [simplify]: Extracting #2: cost 241 inf + 72 67.098 * * [simplify]: Extracting #3: cost 449 inf + 888 67.107 * * [simplify]: Extracting #4: cost 276 inf + 41470 67.136 * * [simplify]: Extracting #5: cost 21 inf + 115189 67.161 * * [simplify]: Extracting #6: cost 0 inf + 121987 67.198 * * [simplify]: Extracting #7: cost 0 inf + 121985 67.220 * [simplify]: Simplified to (exp (* (- 1/4 (* 1/4 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 67.220 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (exp (* (- 1/4 (* 1/4 k)) (- (log (* -2 PI)) (log (/ -1 n)))))))) 67.220 * * * * [progress]: [ 218 / 226 ] simplifiying candidate # 67.221 * [simplify]: Simplifying (- (+ (* 1/16 (* (log (* 2 PI)) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/32 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/4 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/4 (* k (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI))))))) 67.221 * * [simplify]: iters left: 6 (37 enodes) 67.239 * * [simplify]: iters left: 5 (190 enodes) 67.294 * * [simplify]: Extracting #0: cost 1 inf + 0 67.294 * * [simplify]: Extracting #1: cost 18 inf + 0 67.294 * * [simplify]: Extracting #2: cost 85 inf + 0 67.295 * * [simplify]: Extracting #3: cost 169 inf + 45 67.297 * * [simplify]: Extracting #4: cost 194 inf + 581 67.302 * * [simplify]: Extracting #5: cost 128 inf + 18118 67.320 * * [simplify]: Extracting #6: cost 27 inf + 64733 67.350 * * [simplify]: Extracting #7: cost 1 inf + 82414 67.382 * * [simplify]: Extracting #8: cost 0 inf + 81915 67.418 * * [simplify]: Extracting #9: cost 0 inf + 81594 67.449 * [simplify]: Simplified to (+ (+ (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (* (log (* PI 2)) 1/16) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (* k k) (log n))))) (- (* 1/32 (* (* k k) (+ (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (log (* PI 2)) (log (* PI 2))))))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/4))))) 1/4))) 67.449 * [simplify]: Simplified (2 1) to (λ (k n) (/ (+ (+ (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (* (log (* PI 2)) 1/16) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (* k k) (log n))))) (- (* 1/32 (* (* k k) (+ (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (log (* PI 2)) (log (* PI 2))))))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/4))))) 1/4))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 67.449 * * * * [progress]: [ 219 / 226 ] simplifiying candidate # 67.450 * [simplify]: Simplifying (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 67.450 * * [simplify]: iters left: 6 (15 enodes) 67.459 * * [simplify]: iters left: 5 (65 enodes) 67.483 * * [simplify]: iters left: 4 (123 enodes) 67.538 * * [simplify]: iters left: 3 (360 enodes) 67.720 * * [simplify]: Extracting #0: cost 1 inf + 0 67.720 * * [simplify]: Extracting #1: cost 37 inf + 0 67.721 * * [simplify]: Extracting #2: cost 214 inf + 1 67.722 * * [simplify]: Extracting #3: cost 351 inf + 1827 67.726 * * [simplify]: Extracting #4: cost 217 inf + 29927 67.739 * * [simplify]: Extracting #5: cost 35 inf + 80289 67.773 * * [simplify]: Extracting #6: cost 0 inf + 89737 67.803 * * [simplify]: Extracting #7: cost 0 inf + 88848 67.834 * * [simplify]: Extracting #8: cost 0 inf + 88843 67.864 * [simplify]: Simplified to (exp (* (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)) 1/4)) 67.864 * [simplify]: Simplified (2 1) to (λ (k n) (/ (exp (* (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)) 1/4)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 67.865 * * * * [progress]: [ 220 / 226 ] simplifiying candidate # 67.865 * [simplify]: Simplifying (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 67.865 * * [simplify]: iters left: 6 (16 enodes) 67.875 * * [simplify]: iters left: 5 (67 enodes) 67.900 * * [simplify]: iters left: 4 (134 enodes) 67.945 * * [simplify]: iters left: 3 (406 enodes) 68.136 * * [simplify]: Extracting #0: cost 1 inf + 0 68.136 * * [simplify]: Extracting #1: cost 39 inf + 0 68.136 * * [simplify]: Extracting #2: cost 241 inf + 72 68.138 * * [simplify]: Extracting #3: cost 449 inf + 888 68.144 * * [simplify]: Extracting #4: cost 276 inf + 41470 68.178 * * [simplify]: Extracting #5: cost 21 inf + 115189 68.227 * * [simplify]: Extracting #6: cost 0 inf + 121987 68.272 * * [simplify]: Extracting #7: cost 0 inf + 121985 68.314 * [simplify]: Simplified to (exp (* (- 1/4 (* 1/4 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 68.315 * [simplify]: Simplified (2 1) to (λ (k n) (/ (exp (* (- 1/4 (* 1/4 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 68.315 * * * * [progress]: [ 221 / 226 ] simplifiying candidate # 68.315 * [simplify]: Simplifying (* 2 (* n PI)) 68.315 * * [simplify]: iters left: 4 (5 enodes) 68.318 * * [simplify]: iters left: 3 (19 enodes) 68.325 * * [simplify]: iters left: 2 (27 enodes) 68.333 * * [simplify]: iters left: 1 (32 enodes) 68.341 * * [simplify]: Extracting #0: cost 1 inf + 0 68.341 * * [simplify]: Extracting #1: cost 8 inf + 0 68.341 * * [simplify]: Extracting #2: cost 7 inf + 45 68.342 * * [simplify]: Extracting #3: cost 0 inf + 421 68.342 * [simplify]: Simplified to (* (* PI n) 2) 68.342 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2))))) 68.342 * * * * [progress]: [ 222 / 226 ] simplifiying candidate # 68.343 * [simplify]: Simplifying (* 2 (* n PI)) 68.343 * * [simplify]: iters left: 4 (5 enodes) 68.346 * * [simplify]: iters left: 3 (19 enodes) 68.352 * * [simplify]: iters left: 2 (27 enodes) 68.360 * * [simplify]: iters left: 1 (32 enodes) 68.371 * * [simplify]: Extracting #0: cost 1 inf + 0 68.371 * * [simplify]: Extracting #1: cost 8 inf + 0 68.371 * * [simplify]: Extracting #2: cost 7 inf + 45 68.371 * * [simplify]: Extracting #3: cost 0 inf + 421 68.371 * [simplify]: Simplified to (* (* PI n) 2) 68.371 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2))))) 68.372 * * * * [progress]: [ 223 / 226 ] simplifiying candidate # 68.372 * [simplify]: Simplifying (* 2 (* n PI)) 68.372 * * [simplify]: iters left: 4 (5 enodes) 68.375 * * [simplify]: iters left: 3 (19 enodes) 68.381 * * [simplify]: iters left: 2 (27 enodes) 68.389 * * [simplify]: iters left: 1 (32 enodes) 68.395 * * [simplify]: Extracting #0: cost 1 inf + 0 68.395 * * [simplify]: Extracting #1: cost 8 inf + 0 68.395 * * [simplify]: Extracting #2: cost 7 inf + 45 68.395 * * [simplify]: Extracting #3: cost 0 inf + 421 68.396 * [simplify]: Simplified to (* (* PI n) 2) 68.396 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2))))) 68.396 * * * * [progress]: [ 224 / 226 ] simplifiying candidate # 68.396 * [simplify]: Simplifying (* 2 (* n PI)) 68.396 * * [simplify]: iters left: 4 (5 enodes) 68.397 * * [simplify]: iters left: 3 (19 enodes) 68.400 * * [simplify]: iters left: 2 (27 enodes) 68.404 * * [simplify]: iters left: 1 (32 enodes) 68.408 * * [simplify]: Extracting #0: cost 1 inf + 0 68.409 * * [simplify]: Extracting #1: cost 8 inf + 0 68.409 * * [simplify]: Extracting #2: cost 7 inf + 45 68.409 * * [simplify]: Extracting #3: cost 0 inf + 421 68.409 * [simplify]: Simplified to (* (* PI n) 2) 68.409 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 68.409 * * * * [progress]: [ 225 / 226 ] simplifiying candidate # 68.409 * [simplify]: Simplifying (* 2 (* n PI)) 68.409 * * [simplify]: iters left: 4 (5 enodes) 68.411 * * [simplify]: iters left: 3 (19 enodes) 68.414 * * [simplify]: iters left: 2 (27 enodes) 68.418 * * [simplify]: iters left: 1 (32 enodes) 68.426 * * [simplify]: Extracting #0: cost 1 inf + 0 68.426 * * [simplify]: Extracting #1: cost 8 inf + 0 68.426 * * [simplify]: Extracting #2: cost 7 inf + 45 68.427 * * [simplify]: Extracting #3: cost 0 inf + 421 68.427 * [simplify]: Simplified to (* (* PI n) 2) 68.427 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 68.427 * * * * [progress]: [ 226 / 226 ] simplifiying candidate # 68.427 * [simplify]: Simplifying (* 2 (* n PI)) 68.428 * * [simplify]: iters left: 4 (5 enodes) 68.431 * * [simplify]: iters left: 3 (19 enodes) 68.437 * * [simplify]: iters left: 2 (27 enodes) 68.445 * * [simplify]: iters left: 1 (32 enodes) 68.453 * * [simplify]: Extracting #0: cost 1 inf + 0 68.453 * * [simplify]: Extracting #1: cost 8 inf + 0 68.453 * * [simplify]: Extracting #2: cost 7 inf + 45 68.454 * * [simplify]: Extracting #3: cost 0 inf + 421 68.454 * [simplify]: Simplified to (* (* PI n) 2) 68.454 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 68.454 * * * [progress]: adding candidates to table 71.689 * * [progress]: iteration 4 / 4 71.689 * * * [progress]: picking best candidate 71.705 * * * * [pick]: Picked # 71.705 * * * [progress]: localizing error 71.736 * * * [progress]: generating rewritten candidates 71.736 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 71.743 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 71.752 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 71.766 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 71.816 * * * [progress]: generating series expansions 71.816 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 71.817 * [backup-simplify]: Simplify (pow (* 2 PI) (/ (- 1 k) 2)) into (pow (* 2 PI) (* 1/2 (- 1 k))) 71.817 * [approximate]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 k))) in (k) around 0 71.817 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 k))) in k 71.817 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 PI)))) in k 71.817 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 PI))) in k 71.817 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 71.817 * [taylor]: Taking taylor expansion of 1/2 in k 71.817 * [backup-simplify]: Simplify 1/2 into 1/2 71.817 * [taylor]: Taking taylor expansion of (- 1 k) in k 71.817 * [taylor]: Taking taylor expansion of 1 in k 71.817 * [backup-simplify]: Simplify 1 into 1 71.817 * [taylor]: Taking taylor expansion of k in k 71.817 * [backup-simplify]: Simplify 0 into 0 71.817 * [backup-simplify]: Simplify 1 into 1 71.817 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 71.817 * [taylor]: Taking taylor expansion of (* 2 PI) in k 71.817 * [taylor]: Taking taylor expansion of 2 in k 71.817 * [backup-simplify]: Simplify 2 into 2 71.817 * [taylor]: Taking taylor expansion of PI in k 71.818 * [backup-simplify]: Simplify PI into PI 71.818 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 71.819 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 71.819 * [backup-simplify]: Simplify (- 0) into 0 71.819 * [backup-simplify]: Simplify (+ 1 0) into 1 71.819 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 71.820 * [backup-simplify]: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 71.822 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) 71.822 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 k))) in k 71.822 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 PI)))) in k 71.822 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 PI))) in k 71.822 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 71.822 * [taylor]: Taking taylor expansion of 1/2 in k 71.822 * [backup-simplify]: Simplify 1/2 into 1/2 71.822 * [taylor]: Taking taylor expansion of (- 1 k) in k 71.822 * [taylor]: Taking taylor expansion of 1 in k 71.822 * [backup-simplify]: Simplify 1 into 1 71.822 * [taylor]: Taking taylor expansion of k in k 71.822 * [backup-simplify]: Simplify 0 into 0 71.822 * [backup-simplify]: Simplify 1 into 1 71.822 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 71.822 * [taylor]: Taking taylor expansion of (* 2 PI) in k 71.822 * [taylor]: Taking taylor expansion of 2 in k 71.822 * [backup-simplify]: Simplify 2 into 2 71.822 * [taylor]: Taking taylor expansion of PI in k 71.822 * [backup-simplify]: Simplify PI into PI 71.822 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 71.823 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 71.823 * [backup-simplify]: Simplify (- 0) into 0 71.824 * [backup-simplify]: Simplify (+ 1 0) into 1 71.824 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 71.825 * [backup-simplify]: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 71.827 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) 71.827 * [backup-simplify]: Simplify (pow (* 2 PI) 1/2) into (pow (* 2 PI) 1/2) 71.828 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 71.829 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 71.829 * [backup-simplify]: Simplify (- 1) into -1 71.829 * [backup-simplify]: Simplify (+ 0 -1) into -1 71.830 * [backup-simplify]: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2 71.831 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 PI)))) into (- (* 1/2 (log (* 2 PI)))) 71.838 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 1) 1)))) into (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI)))) 71.840 * [backup-simplify]: Simplify (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI)))) into (* -1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt PI))) 71.841 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 71.844 * [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 71.844 * [backup-simplify]: Simplify (- 0) into 0 71.845 * [backup-simplify]: Simplify (+ 0 0) into 0 71.846 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0 71.848 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 PI))))) into 0 71.862 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2))) 71.867 * [backup-simplify]: Simplify (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2))) into (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt PI))) 71.878 * [backup-simplify]: Simplify (+ (* (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt PI))) (pow k 2)) (+ (* (* -1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt PI))) k) (pow (* 2 PI) 1/2))) into (- (+ (* 1/8 (* (* (sqrt 2) (* (pow k 2) (pow (log (* 2 PI)) 2))) (sqrt PI))) (pow (* 2 PI) 1/2)) (* 1/2 (* (* (sqrt 2) (* k (log (* 2 PI)))) (sqrt PI)))) 71.879 * [backup-simplify]: Simplify (pow (* 2 PI) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k)))) 71.879 * [approximate]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k)))) in (k) around 0 71.879 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k)))) in k 71.879 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI)))) in k 71.879 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI))) in k 71.879 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 71.879 * [taylor]: Taking taylor expansion of 1/2 in k 71.879 * [backup-simplify]: Simplify 1/2 into 1/2 71.879 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 71.879 * [taylor]: Taking taylor expansion of 1 in k 71.879 * [backup-simplify]: Simplify 1 into 1 71.879 * [taylor]: Taking taylor expansion of (/ 1 k) in k 71.879 * [taylor]: Taking taylor expansion of k in k 71.879 * [backup-simplify]: Simplify 0 into 0 71.879 * [backup-simplify]: Simplify 1 into 1 71.880 * [backup-simplify]: Simplify (/ 1 1) into 1 71.880 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 71.880 * [taylor]: Taking taylor expansion of (* 2 PI) in k 71.880 * [taylor]: Taking taylor expansion of 2 in k 71.880 * [backup-simplify]: Simplify 2 into 2 71.880 * [taylor]: Taking taylor expansion of PI in k 71.880 * [backup-simplify]: Simplify PI into PI 71.880 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 71.881 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 71.882 * [backup-simplify]: Simplify (- 1) into -1 71.882 * [backup-simplify]: Simplify (+ 0 -1) into -1 71.882 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 71.884 * [backup-simplify]: Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI))) 71.885 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 71.885 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k)))) in k 71.885 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI)))) in k 71.885 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI))) in k 71.885 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 71.885 * [taylor]: Taking taylor expansion of 1/2 in k 71.885 * [backup-simplify]: Simplify 1/2 into 1/2 71.885 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 71.885 * [taylor]: Taking taylor expansion of 1 in k 71.885 * [backup-simplify]: Simplify 1 into 1 71.885 * [taylor]: Taking taylor expansion of (/ 1 k) in k 71.885 * [taylor]: Taking taylor expansion of k in k 71.885 * [backup-simplify]: Simplify 0 into 0 71.885 * [backup-simplify]: Simplify 1 into 1 71.886 * [backup-simplify]: Simplify (/ 1 1) into 1 71.886 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 71.886 * [taylor]: Taking taylor expansion of (* 2 PI) in k 71.886 * [taylor]: Taking taylor expansion of 2 in k 71.886 * [backup-simplify]: Simplify 2 into 2 71.886 * [taylor]: Taking taylor expansion of PI in k 71.886 * [backup-simplify]: Simplify PI into PI 71.887 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 71.888 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 71.888 * [backup-simplify]: Simplify (- 1) into -1 71.888 * [backup-simplify]: Simplify (+ 0 -1) into -1 71.889 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 71.890 * [backup-simplify]: Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI))) 71.892 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 71.893 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 71.893 * [backup-simplify]: Simplify 0 into 0 71.893 * [backup-simplify]: Simplify 0 into 0 71.893 * [backup-simplify]: Simplify 0 into 0 71.893 * [backup-simplify]: Simplify 0 into 0 71.893 * [backup-simplify]: Simplify 0 into 0 71.893 * [backup-simplify]: Simplify 0 into 0 71.894 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log (* 2 PI))))) into (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) 71.894 * [backup-simplify]: Simplify (pow (* 2 PI) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1))) 71.894 * [approximate]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1))) in (k) around 0 71.894 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1))) in k 71.894 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI)))) in k 71.894 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI))) in k 71.894 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 71.894 * [taylor]: Taking taylor expansion of 1/2 in k 71.894 * [backup-simplify]: Simplify 1/2 into 1/2 71.894 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 71.894 * [taylor]: Taking taylor expansion of (/ 1 k) in k 71.894 * [taylor]: Taking taylor expansion of k in k 71.894 * [backup-simplify]: Simplify 0 into 0 71.894 * [backup-simplify]: Simplify 1 into 1 71.894 * [backup-simplify]: Simplify (/ 1 1) into 1 71.895 * [taylor]: Taking taylor expansion of 1 in k 71.895 * [backup-simplify]: Simplify 1 into 1 71.895 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 71.895 * [taylor]: Taking taylor expansion of (* 2 PI) in k 71.895 * [taylor]: Taking taylor expansion of 2 in k 71.895 * [backup-simplify]: Simplify 2 into 2 71.895 * [taylor]: Taking taylor expansion of PI in k 71.895 * [backup-simplify]: Simplify PI into PI 71.895 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 71.896 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 71.896 * [backup-simplify]: Simplify (+ 1 0) into 1 71.896 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 71.897 * [backup-simplify]: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 71.898 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 71.898 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1))) in k 71.898 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI)))) in k 71.898 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI))) in k 71.898 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 71.898 * [taylor]: Taking taylor expansion of 1/2 in k 71.898 * [backup-simplify]: Simplify 1/2 into 1/2 71.898 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 71.898 * [taylor]: Taking taylor expansion of (/ 1 k) in k 71.898 * [taylor]: Taking taylor expansion of k in k 71.898 * [backup-simplify]: Simplify 0 into 0 71.898 * [backup-simplify]: Simplify 1 into 1 71.898 * [backup-simplify]: Simplify (/ 1 1) into 1 71.898 * [taylor]: Taking taylor expansion of 1 in k 71.898 * [backup-simplify]: Simplify 1 into 1 71.898 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 71.898 * [taylor]: Taking taylor expansion of (* 2 PI) in k 71.898 * [taylor]: Taking taylor expansion of 2 in k 71.898 * [backup-simplify]: Simplify 2 into 2 71.898 * [taylor]: Taking taylor expansion of PI in k 71.898 * [backup-simplify]: Simplify PI into PI 71.899 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 71.899 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 71.900 * [backup-simplify]: Simplify (+ 1 0) into 1 71.900 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 71.901 * [backup-simplify]: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 71.901 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 71.902 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 71.902 * [backup-simplify]: Simplify 0 into 0 71.902 * [backup-simplify]: Simplify 0 into 0 71.902 * [backup-simplify]: Simplify 0 into 0 71.902 * [backup-simplify]: Simplify 0 into 0 71.902 * [backup-simplify]: Simplify 0 into 0 71.902 * [backup-simplify]: Simplify 0 into 0 71.903 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (log (* 2 PI))))) into (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) 71.903 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 71.903 * [backup-simplify]: Simplify (pow n (/ (- 1 k) 2)) into (pow n (* 1/2 (- 1 k))) 71.903 * [approximate]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in (n k) around 0 71.903 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in k 71.903 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in k 71.903 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in k 71.903 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 71.903 * [taylor]: Taking taylor expansion of 1/2 in k 71.903 * [backup-simplify]: Simplify 1/2 into 1/2 71.903 * [taylor]: Taking taylor expansion of (- 1 k) in k 71.903 * [taylor]: Taking taylor expansion of 1 in k 71.903 * [backup-simplify]: Simplify 1 into 1 71.903 * [taylor]: Taking taylor expansion of k in k 71.903 * [backup-simplify]: Simplify 0 into 0 71.903 * [backup-simplify]: Simplify 1 into 1 71.903 * [taylor]: Taking taylor expansion of (log n) in k 71.903 * [taylor]: Taking taylor expansion of n in k 71.903 * [backup-simplify]: Simplify n into n 71.903 * [backup-simplify]: Simplify (log n) into (log n) 71.904 * [backup-simplify]: Simplify (- 0) into 0 71.904 * [backup-simplify]: Simplify (+ 1 0) into 1 71.904 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 71.904 * [backup-simplify]: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 71.904 * [backup-simplify]: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 71.904 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in n 71.904 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in n 71.904 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in n 71.904 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 71.904 * [taylor]: Taking taylor expansion of 1/2 in n 71.904 * [backup-simplify]: Simplify 1/2 into 1/2 71.904 * [taylor]: Taking taylor expansion of (- 1 k) in n 71.904 * [taylor]: Taking taylor expansion of 1 in n 71.904 * [backup-simplify]: Simplify 1 into 1 71.904 * [taylor]: Taking taylor expansion of k in n 71.904 * [backup-simplify]: Simplify k into k 71.904 * [taylor]: Taking taylor expansion of (log n) in n 71.904 * [taylor]: Taking taylor expansion of n in n 71.904 * [backup-simplify]: Simplify 0 into 0 71.904 * [backup-simplify]: Simplify 1 into 1 71.905 * [backup-simplify]: Simplify (log 1) into 0 71.905 * [backup-simplify]: Simplify (- k) into (- k) 71.905 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 71.905 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 71.905 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 71.905 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log n)) into (* 1/2 (* (- 1 k) (log n))) 71.905 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log n)))) into (exp (* 1/2 (* (- 1 k) (log n)))) 71.905 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in n 71.905 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in n 71.905 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in n 71.905 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 71.905 * [taylor]: Taking taylor expansion of 1/2 in n 71.905 * [backup-simplify]: Simplify 1/2 into 1/2 71.905 * [taylor]: Taking taylor expansion of (- 1 k) in n 71.905 * [taylor]: Taking taylor expansion of 1 in n 71.905 * [backup-simplify]: Simplify 1 into 1 71.905 * [taylor]: Taking taylor expansion of k in n 71.905 * [backup-simplify]: Simplify k into k 71.905 * [taylor]: Taking taylor expansion of (log n) in n 71.905 * [taylor]: Taking taylor expansion of n in n 71.905 * [backup-simplify]: Simplify 0 into 0 71.905 * [backup-simplify]: Simplify 1 into 1 71.906 * [backup-simplify]: Simplify (log 1) into 0 71.906 * [backup-simplify]: Simplify (- k) into (- k) 71.906 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 71.906 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 71.906 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 71.906 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log n)) into (* 1/2 (* (- 1 k) (log n))) 71.906 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log n)))) into (exp (* 1/2 (* (- 1 k) (log n)))) 71.906 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (log n)))) in k 71.906 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (log n))) in k 71.906 * [taylor]: Taking taylor expansion of 1/2 in k 71.906 * [backup-simplify]: Simplify 1/2 into 1/2 71.906 * [taylor]: Taking taylor expansion of (* (- 1 k) (log n)) in k 71.906 * [taylor]: Taking taylor expansion of (- 1 k) in k 71.906 * [taylor]: Taking taylor expansion of 1 in k 71.906 * [backup-simplify]: Simplify 1 into 1 71.906 * [taylor]: Taking taylor expansion of k in k 71.906 * [backup-simplify]: Simplify 0 into 0 71.906 * [backup-simplify]: Simplify 1 into 1 71.906 * [taylor]: Taking taylor expansion of (log n) in k 71.906 * [taylor]: Taking taylor expansion of n in k 71.906 * [backup-simplify]: Simplify n into n 71.906 * [backup-simplify]: Simplify (log n) into (log n) 71.907 * [backup-simplify]: Simplify (- 0) into 0 71.907 * [backup-simplify]: Simplify (+ 1 0) into 1 71.907 * [backup-simplify]: Simplify (* 1 (log n)) into (log n) 71.907 * [backup-simplify]: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 71.907 * [backup-simplify]: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 71.907 * [backup-simplify]: Simplify (pow n 1/2) into (pow n 1/2) 71.908 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 71.908 * [backup-simplify]: Simplify (- 0) into 0 71.908 * [backup-simplify]: Simplify (+ 0 0) into 0 71.909 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 71.909 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 71.909 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (log n))) into 0 71.910 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 71.910 * [taylor]: Taking taylor expansion of 0 in k 71.910 * [backup-simplify]: Simplify 0 into 0 71.910 * [backup-simplify]: Simplify 0 into 0 71.910 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 71.910 * [backup-simplify]: Simplify (- 1) into -1 71.911 * [backup-simplify]: Simplify (+ 0 -1) into -1 71.911 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (log n))) into (- (log n)) 71.911 * [backup-simplify]: Simplify (+ (* 1/2 (- (log n))) (* 0 (log n))) into (- (* 1/2 (log n))) 71.911 * [backup-simplify]: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 71.911 * [backup-simplify]: Simplify (* -1/2 (* (sqrt n) (log n))) into (* -1/2 (* (sqrt n) (log n))) 71.913 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 71.913 * [backup-simplify]: Simplify (- 0) into 0 71.913 * [backup-simplify]: Simplify (+ 0 0) into 0 71.914 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 71.914 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 71.914 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 71.915 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 71.915 * [taylor]: Taking taylor expansion of 0 in k 71.915 * [backup-simplify]: Simplify 0 into 0 71.915 * [backup-simplify]: Simplify 0 into 0 71.915 * [backup-simplify]: Simplify 0 into 0 71.916 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 71.916 * [backup-simplify]: Simplify (- 0) into 0 71.917 * [backup-simplify]: Simplify (+ 0 0) into 0 71.917 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (log n)))) into 0 71.918 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (log n))) (* 0 (log n)))) into 0 71.922 * [backup-simplify]: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 71.922 * [backup-simplify]: Simplify (* 1/8 (* (sqrt n) (pow (log n) 2))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 71.923 * [backup-simplify]: Simplify (+ (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -1/2 (* (sqrt n) (log n))) (* k 1)) (pow n 1/2))) into (- (+ (pow n 1/2) (* 1/8 (* (sqrt n) (* (pow (log n) 2) (pow k 2))))) (* 1/2 (* (sqrt n) (* (log n) k)))) 71.923 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (- 1 (/ 1 k)) 2)) into (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) 71.923 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 71.923 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in k 71.923 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in k 71.923 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in k 71.923 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 71.923 * [taylor]: Taking taylor expansion of 1/2 in k 71.923 * [backup-simplify]: Simplify 1/2 into 1/2 71.923 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 71.923 * [taylor]: Taking taylor expansion of 1 in k 71.923 * [backup-simplify]: Simplify 1 into 1 71.923 * [taylor]: Taking taylor expansion of (/ 1 k) in k 71.923 * [taylor]: Taking taylor expansion of k in k 71.923 * [backup-simplify]: Simplify 0 into 0 71.923 * [backup-simplify]: Simplify 1 into 1 71.924 * [backup-simplify]: Simplify (/ 1 1) into 1 71.924 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 71.924 * [taylor]: Taking taylor expansion of (/ 1 n) in k 71.924 * [taylor]: Taking taylor expansion of n in k 71.924 * [backup-simplify]: Simplify n into n 71.924 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 71.924 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 71.924 * [backup-simplify]: Simplify (- 1) into -1 71.924 * [backup-simplify]: Simplify (+ 0 -1) into -1 71.925 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 71.925 * [backup-simplify]: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 71.925 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) 71.925 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in n 71.925 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in n 71.925 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in n 71.925 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 71.925 * [taylor]: Taking taylor expansion of 1/2 in n 71.925 * [backup-simplify]: Simplify 1/2 into 1/2 71.925 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 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 (/ 1 k) in n 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 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 71.925 * [taylor]: Taking taylor expansion of (/ 1 n) in n 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 71.925 * [backup-simplify]: Simplify (/ 1 1) into 1 71.925 * [backup-simplify]: Simplify (log 1) into 0 71.926 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 71.926 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 71.926 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 71.926 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 71.926 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log n))) into (* -1/2 (* (- 1 (/ 1 k)) (log n))) 71.926 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 71.926 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in n 71.926 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in n 71.926 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in n 71.926 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 71.926 * [taylor]: Taking taylor expansion of 1/2 in n 71.926 * [backup-simplify]: Simplify 1/2 into 1/2 71.926 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 71.926 * [taylor]: Taking taylor expansion of 1 in n 71.926 * [backup-simplify]: Simplify 1 into 1 71.926 * [taylor]: Taking taylor expansion of (/ 1 k) in n 71.926 * [taylor]: Taking taylor expansion of k in n 71.926 * [backup-simplify]: Simplify k into k 71.926 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 71.926 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 71.926 * [taylor]: Taking taylor expansion of (/ 1 n) in n 71.926 * [taylor]: Taking taylor expansion of n in n 71.926 * [backup-simplify]: Simplify 0 into 0 71.926 * [backup-simplify]: Simplify 1 into 1 71.927 * [backup-simplify]: Simplify (/ 1 1) into 1 71.927 * [backup-simplify]: Simplify (log 1) into 0 71.927 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 71.927 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 71.927 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 71.927 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 71.927 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log n))) into (* -1/2 (* (- 1 (/ 1 k)) (log n))) 71.927 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 71.928 * [taylor]: Taking taylor expansion of (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) in k 71.928 * [taylor]: Taking taylor expansion of (* -1/2 (* (- 1 (/ 1 k)) (log n))) in k 71.928 * [taylor]: Taking taylor expansion of -1/2 in k 71.928 * [backup-simplify]: Simplify -1/2 into -1/2 71.928 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log n)) in k 71.928 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 71.928 * [taylor]: Taking taylor expansion of 1 in k 71.928 * [backup-simplify]: Simplify 1 into 1 71.928 * [taylor]: Taking taylor expansion of (/ 1 k) in k 71.928 * [taylor]: Taking taylor expansion of k in k 71.928 * [backup-simplify]: Simplify 0 into 0 71.928 * [backup-simplify]: Simplify 1 into 1 71.928 * [backup-simplify]: Simplify (/ 1 1) into 1 71.928 * [taylor]: Taking taylor expansion of (log n) in k 71.928 * [taylor]: Taking taylor expansion of n in k 71.928 * [backup-simplify]: Simplify n into n 71.928 * [backup-simplify]: Simplify (log n) into (log n) 71.928 * [backup-simplify]: Simplify (- 1) into -1 71.929 * [backup-simplify]: Simplify (+ 0 -1) into -1 71.929 * [backup-simplify]: Simplify (* -1 (log n)) into (* -1 (log n)) 71.929 * [backup-simplify]: Simplify (* -1/2 (* -1 (log n))) into (* 1/2 (log n)) 71.929 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 71.929 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 71.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 71.930 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 71.930 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 71.930 * [backup-simplify]: Simplify (- 0) into 0 71.931 * [backup-simplify]: Simplify (+ 0 0) into 0 71.931 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 71.931 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 71.931 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 71.932 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 71.932 * [taylor]: Taking taylor expansion of 0 in k 71.932 * [backup-simplify]: Simplify 0 into 0 71.932 * [backup-simplify]: Simplify 0 into 0 71.932 * [backup-simplify]: Simplify 0 into 0 71.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 71.934 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 71.934 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 71.934 * [backup-simplify]: Simplify (- 0) into 0 71.934 * [backup-simplify]: Simplify (+ 0 0) into 0 71.935 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 71.935 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 71.935 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 71.936 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 71.936 * [taylor]: Taking taylor expansion of 0 in k 71.936 * [backup-simplify]: Simplify 0 into 0 71.936 * [backup-simplify]: Simplify 0 into 0 71.937 * [backup-simplify]: Simplify 0 into 0 71.937 * [backup-simplify]: Simplify 0 into 0 71.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 71.940 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 71.940 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 71.940 * [backup-simplify]: Simplify (- 0) into 0 71.940 * [backup-simplify]: Simplify (+ 0 0) into 0 71.941 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 71.941 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 71.942 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 71.943 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 71.943 * [taylor]: Taking taylor expansion of 0 in k 71.943 * [backup-simplify]: Simplify 0 into 0 71.943 * [backup-simplify]: Simplify 0 into 0 71.943 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 (/ 1 k))) (log (/ 1 n))))) into (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) 71.943 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (- 1 (/ 1 (- k))) 2)) into (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) 71.943 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 71.943 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in k 71.943 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in k 71.943 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in k 71.943 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 71.943 * [taylor]: Taking taylor expansion of 1/2 in k 71.943 * [backup-simplify]: Simplify 1/2 into 1/2 71.943 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 71.943 * [taylor]: Taking taylor expansion of (/ 1 k) in k 71.943 * [taylor]: Taking taylor expansion of k in k 71.943 * [backup-simplify]: Simplify 0 into 0 71.943 * [backup-simplify]: Simplify 1 into 1 71.944 * [backup-simplify]: Simplify (/ 1 1) into 1 71.944 * [taylor]: Taking taylor expansion of 1 in k 71.944 * [backup-simplify]: Simplify 1 into 1 71.944 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 71.944 * [taylor]: Taking taylor expansion of (/ -1 n) in k 71.944 * [taylor]: Taking taylor expansion of -1 in k 71.944 * [backup-simplify]: Simplify -1 into -1 71.944 * [taylor]: Taking taylor expansion of n in k 71.944 * [backup-simplify]: Simplify n into n 71.944 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 71.944 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 71.944 * [backup-simplify]: Simplify (+ 1 0) into 1 71.944 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 71.944 * [backup-simplify]: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 71.944 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) 71.944 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in n 71.944 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in n 71.944 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in n 71.945 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 71.945 * [taylor]: Taking taylor expansion of 1/2 in n 71.945 * [backup-simplify]: Simplify 1/2 into 1/2 71.945 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 71.945 * [taylor]: Taking taylor expansion of (/ 1 k) in n 71.945 * [taylor]: Taking taylor expansion of k in n 71.945 * [backup-simplify]: Simplify k into k 71.945 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 71.945 * [taylor]: Taking taylor expansion of 1 in n 71.945 * [backup-simplify]: Simplify 1 into 1 71.945 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 71.945 * [taylor]: Taking taylor expansion of (/ -1 n) in n 71.945 * [taylor]: Taking taylor expansion of -1 in n 71.945 * [backup-simplify]: Simplify -1 into -1 71.945 * [taylor]: Taking taylor expansion of n in n 71.945 * [backup-simplify]: Simplify 0 into 0 71.945 * [backup-simplify]: Simplify 1 into 1 71.945 * [backup-simplify]: Simplify (/ -1 1) into -1 71.945 * [backup-simplify]: Simplify (log -1) into (log -1) 71.945 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 71.945 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 71.946 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 71.946 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log -1) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) 71.947 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 71.947 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in n 71.947 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in n 71.947 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in n 71.947 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 71.947 * [taylor]: Taking taylor expansion of 1/2 in n 71.947 * [backup-simplify]: Simplify 1/2 into 1/2 71.947 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 71.947 * [taylor]: Taking taylor expansion of (/ 1 k) in n 71.947 * [taylor]: Taking taylor expansion of k in n 71.947 * [backup-simplify]: Simplify k into k 71.947 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 71.947 * [taylor]: Taking taylor expansion of 1 in n 71.947 * [backup-simplify]: Simplify 1 into 1 71.947 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 71.947 * [taylor]: Taking taylor expansion of (/ -1 n) in n 71.947 * [taylor]: Taking taylor expansion of -1 in n 71.947 * [backup-simplify]: Simplify -1 into -1 71.947 * [taylor]: Taking taylor expansion of n in n 71.947 * [backup-simplify]: Simplify 0 into 0 71.947 * [backup-simplify]: Simplify 1 into 1 71.947 * [backup-simplify]: Simplify (/ -1 1) into -1 71.947 * [backup-simplify]: Simplify (log -1) into (log -1) 71.947 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 71.947 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 71.948 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 71.948 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log -1) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) 71.949 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 71.949 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) in k 71.949 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) in k 71.949 * [taylor]: Taking taylor expansion of 1/2 in k 71.949 * [backup-simplify]: Simplify 1/2 into 1/2 71.949 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log -1) (log n))) in k 71.949 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 71.949 * [taylor]: Taking taylor expansion of (/ 1 k) in k 71.949 * [taylor]: Taking taylor expansion of k in k 71.949 * [backup-simplify]: Simplify 0 into 0 71.949 * [backup-simplify]: Simplify 1 into 1 71.949 * [backup-simplify]: Simplify (/ 1 1) into 1 71.949 * [taylor]: Taking taylor expansion of 1 in k 71.949 * [backup-simplify]: Simplify 1 into 1 71.949 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 71.949 * [taylor]: Taking taylor expansion of (log -1) in k 71.949 * [taylor]: Taking taylor expansion of -1 in k 71.949 * [backup-simplify]: Simplify -1 into -1 71.949 * [backup-simplify]: Simplify (log -1) into (log -1) 71.949 * [taylor]: Taking taylor expansion of (log n) in k 71.949 * [taylor]: Taking taylor expansion of n in k 71.949 * [backup-simplify]: Simplify n into n 71.950 * [backup-simplify]: Simplify (log n) into (log n) 71.950 * [backup-simplify]: Simplify (+ 1 0) into 1 71.950 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 71.950 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 71.950 * [backup-simplify]: Simplify (* 1 (- (log -1) (log n))) into (- (log -1) (log n)) 71.951 * [backup-simplify]: Simplify (* 1/2 (- (log -1) (log n))) into (* 1/2 (- (log -1) (log n))) 71.951 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 71.951 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 71.952 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 71.953 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 71.953 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 71.953 * [backup-simplify]: Simplify (+ 0 0) into 0 71.953 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 71.954 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 71.954 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log -1) (log n)))) into 0 71.955 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 71.955 * [taylor]: Taking taylor expansion of 0 in k 71.955 * [backup-simplify]: Simplify 0 into 0 71.955 * [backup-simplify]: Simplify 0 into 0 71.955 * [backup-simplify]: Simplify 0 into 0 71.956 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 71.957 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 71.957 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 71.957 * [backup-simplify]: Simplify (+ 0 0) into 0 71.958 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 71.958 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 71.959 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 71.960 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 71.960 * [taylor]: Taking taylor expansion of 0 in k 71.960 * [backup-simplify]: Simplify 0 into 0 71.960 * [backup-simplify]: Simplify 0 into 0 71.960 * [backup-simplify]: Simplify 0 into 0 71.960 * [backup-simplify]: Simplify 0 into 0 71.961 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 71.963 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 71.964 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 71.964 * [backup-simplify]: Simplify (+ 0 0) into 0 71.964 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 71.965 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 71.966 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 71.967 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 71.967 * [taylor]: Taking taylor expansion of 0 in k 71.967 * [backup-simplify]: Simplify 0 into 0 71.967 * [backup-simplify]: Simplify 0 into 0 71.967 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log -1) (log (/ 1 (- n))))))) into (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) 71.967 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 71.968 * [backup-simplify]: Simplify (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))) into (* (/ 1 (pow (* 2 PI) (* 1/2 (- 1 k)))) (sqrt k)) 71.968 * [approximate]: Taking taylor expansion of (* (/ 1 (pow (* 2 PI) (* 1/2 (- 1 k)))) (sqrt k)) in (k) around 0 71.968 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 PI) (* 1/2 (- 1 k)))) (sqrt k)) in k 71.968 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 PI) (* 1/2 (- 1 k)))) in k 71.968 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 k))) in k 71.968 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 PI)))) in k 71.968 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 PI))) in k 71.968 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 71.968 * [taylor]: Taking taylor expansion of 1/2 in k 71.968 * [backup-simplify]: Simplify 1/2 into 1/2 71.968 * [taylor]: Taking taylor expansion of (- 1 k) in k 71.968 * [taylor]: Taking taylor expansion of 1 in k 71.968 * [backup-simplify]: Simplify 1 into 1 71.968 * [taylor]: Taking taylor expansion of k in k 71.968 * [backup-simplify]: Simplify 0 into 0 71.968 * [backup-simplify]: Simplify 1 into 1 71.968 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 71.968 * [taylor]: Taking taylor expansion of (* 2 PI) in k 71.968 * [taylor]: Taking taylor expansion of 2 in k 71.968 * [backup-simplify]: Simplify 2 into 2 71.968 * [taylor]: Taking taylor expansion of PI in k 71.968 * [backup-simplify]: Simplify PI into PI 71.968 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 71.969 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 71.969 * [backup-simplify]: Simplify (- 0) into 0 71.969 * [backup-simplify]: Simplify (+ 1 0) into 1 71.970 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 71.971 * [backup-simplify]: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 71.972 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) 71.973 * [backup-simplify]: Simplify (/ 1 (pow (* 2 PI) 1/2)) into (sqrt (/ 1 (* PI 2))) 71.973 * [taylor]: Taking taylor expansion of (sqrt k) in k 71.973 * [taylor]: Taking taylor expansion of k in k 71.973 * [backup-simplify]: Simplify 0 into 0 71.973 * [backup-simplify]: Simplify 1 into 1 71.973 * [backup-simplify]: Simplify (sqrt 0) into 0 71.974 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 71.974 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 PI) (* 1/2 (- 1 k)))) (sqrt k)) in k 71.974 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 PI) (* 1/2 (- 1 k)))) in k 71.974 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 k))) in k 71.974 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 PI)))) in k 71.974 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 PI))) in k 71.974 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 71.974 * [taylor]: Taking taylor expansion of 1/2 in k 71.974 * [backup-simplify]: Simplify 1/2 into 1/2 71.974 * [taylor]: Taking taylor expansion of (- 1 k) in k 71.974 * [taylor]: Taking taylor expansion of 1 in k 71.974 * [backup-simplify]: Simplify 1 into 1 71.974 * [taylor]: Taking taylor expansion of k in k 71.974 * [backup-simplify]: Simplify 0 into 0 71.974 * [backup-simplify]: Simplify 1 into 1 71.974 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 71.974 * [taylor]: Taking taylor expansion of (* 2 PI) in k 71.974 * [taylor]: Taking taylor expansion of 2 in k 71.974 * [backup-simplify]: Simplify 2 into 2 71.974 * [taylor]: Taking taylor expansion of PI in k 71.974 * [backup-simplify]: Simplify PI into PI 71.975 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 71.975 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 71.975 * [backup-simplify]: Simplify (- 0) into 0 71.976 * [backup-simplify]: Simplify (+ 1 0) into 1 71.976 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 71.977 * [backup-simplify]: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 71.978 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) 71.979 * [backup-simplify]: Simplify (/ 1 (pow (* 2 PI) 1/2)) into (sqrt (/ 1 (* PI 2))) 71.979 * [taylor]: Taking taylor expansion of (sqrt k) in k 71.979 * [taylor]: Taking taylor expansion of k in k 71.979 * [backup-simplify]: Simplify 0 into 0 71.979 * [backup-simplify]: Simplify 1 into 1 71.980 * [backup-simplify]: Simplify (sqrt 0) into 0 71.980 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 71.981 * [backup-simplify]: Simplify (* (sqrt (/ 1 (* PI 2))) 0) into 0 71.981 * [backup-simplify]: Simplify 0 into 0 71.982 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 71.983 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 71.984 * [backup-simplify]: Simplify (- 1) into -1 71.984 * [backup-simplify]: Simplify (+ 0 -1) into -1 71.985 * [backup-simplify]: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2 71.988 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 PI)))) into (- (* 1/2 (log (* 2 PI)))) 72.000 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 1) 1)))) into (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI)))) 72.015 * [backup-simplify]: Simplify (- (+ (* (sqrt (/ 1 (* PI 2))) (/ (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI)))) (pow (* 2 PI) 1/2))))) into (* 1/2 (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) (sqrt (/ 1 PI)))) 72.029 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (* PI 2))) +nan.0) (* (* 1/2 (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) (sqrt (/ 1 PI)))) 0)) into (- (* +nan.0 (* (sqrt (/ 1 PI)) (sqrt 1/2)))) 72.034 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt (/ 1 PI)) (sqrt 1/2)))) into (- (* +nan.0 (* (sqrt (/ 1 PI)) (sqrt 1/2)))) 72.037 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 72.038 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 72.042 * [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 72.042 * [backup-simplify]: Simplify (- 0) into 0 72.042 * [backup-simplify]: Simplify (+ 0 0) into 0 72.043 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0 72.045 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 PI))))) into 0 72.058 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2))) 72.098 * [backup-simplify]: Simplify (- (+ (* (sqrt (/ 1 (* PI 2))) (/ (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2))) (pow (* 2 PI) 1/2))) (* (* 1/2 (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) (sqrt (/ 1 PI)))) (/ (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI)))) (pow (* 2 PI) 1/2))))) into (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (sqrt 1/2) 3) (pow (log (* 2 PI)) 2))) (sqrt (/ 1 PI)))) (* 1/8 (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow (log (* 2 PI)) 2))) (sqrt (/ 1 PI))))) 72.120 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (* PI 2))) +nan.0) (+ (* (* 1/2 (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) (sqrt (/ 1 PI)))) +nan.0) (* (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (sqrt 1/2) 3) (pow (log (* 2 PI)) 2))) (sqrt (/ 1 PI)))) (* 1/8 (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow (log (* 2 PI)) 2))) (sqrt (/ 1 PI))))) 0))) into (- (+ (* +nan.0 (* (sqrt (/ 1 PI)) (sqrt 1/2))) (- (* +nan.0 (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) (sqrt (/ 1 PI))))))) 72.138 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (sqrt (/ 1 PI)) (sqrt 1/2))) (- (* +nan.0 (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) (sqrt (/ 1 PI))))))) into (- (+ (* +nan.0 (* (sqrt (/ 1 PI)) (sqrt 1/2))) (- (* +nan.0 (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) (sqrt (/ 1 PI))))))) 72.140 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 72.141 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 72.149 * [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 72.150 * [backup-simplify]: Simplify (- 0) into 0 72.150 * [backup-simplify]: Simplify (+ 0 0) into 0 72.151 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))) into 0 72.152 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 PI)))))) into 0 72.164 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 3))) 72.276 * [backup-simplify]: Simplify (- (+ (* (sqrt (/ 1 (* PI 2))) (/ (* -1/48 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 3))) (pow (* 2 PI) 1/2))) (* (* 1/2 (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) (sqrt (/ 1 PI)))) (/ (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2))) (pow (* 2 PI) 1/2))) (* (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (sqrt 1/2) 3) (pow (log (* 2 PI)) 2))) (sqrt (/ 1 PI)))) (* 1/8 (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow (log (* 2 PI)) 2))) (sqrt (/ 1 PI))))) (/ (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI)))) (pow (* 2 PI) 1/2))))) into (- (+ (* 1/8 (* (* (pow (sqrt 2) 3) (* (pow (sqrt 1/2) 4) (pow (log (* 2 PI)) 3))) (sqrt (/ 1 PI)))) (* 1/48 (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow (log (* 2 PI)) 3))) (sqrt (/ 1 PI))))) (* 1/8 (* (* (pow (sqrt 2) 2) (* (pow (sqrt 1/2) 3) (pow (log (* 2 PI)) 3))) (sqrt (/ 1 PI))))) 72.385 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (* PI 2))) +nan.0) (+ (* (* 1/2 (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) (sqrt (/ 1 PI)))) +nan.0) (+ (* (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (sqrt 1/2) 3) (pow (log (* 2 PI)) 2))) (sqrt (/ 1 PI)))) (* 1/8 (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow (log (* 2 PI)) 2))) (sqrt (/ 1 PI))))) +nan.0) (* (- (+ (* 1/8 (* (* (pow (sqrt 2) 3) (* (pow (sqrt 1/2) 4) (pow (log (* 2 PI)) 3))) (sqrt (/ 1 PI)))) (* 1/48 (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow (log (* 2 PI)) 3))) (sqrt (/ 1 PI))))) (* 1/8 (* (* (pow (sqrt 2) 2) (* (pow (sqrt 1/2) 3) (pow (log (* 2 PI)) 3))) (sqrt (/ 1 PI))))) 0)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow (log (* 2 PI)) 2))) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (sqrt (/ 1 PI)) (sqrt 1/2))) (- (+ (* +nan.0 (* (* (pow (sqrt 2) 2) (* (pow (sqrt 1/2) 3) (pow (log (* 2 PI)) 2))) (sqrt (/ 1 PI)))) (- (* +nan.0 (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) (sqrt (/ 1 PI))))))))))) 72.447 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow (log (* 2 PI)) 2))) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (sqrt (/ 1 PI)) (sqrt 1/2))) (- (+ (* +nan.0 (* (* (pow (sqrt 2) 2) (* (pow (sqrt 1/2) 3) (pow (log (* 2 PI)) 2))) (sqrt (/ 1 PI)))) (- (* +nan.0 (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) (sqrt (/ 1 PI))))))))))) into (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow (log (* 2 PI)) 2))) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (sqrt (/ 1 PI)) (sqrt 1/2))) (- (+ (* +nan.0 (* (* (pow (sqrt 2) 2) (* (pow (sqrt 1/2) 3) (pow (log (* 2 PI)) 2))) (sqrt (/ 1 PI)))) (- (* +nan.0 (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) (sqrt (/ 1 PI))))))))))) 72.534 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow (log (* 2 PI)) 2))) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (sqrt (/ 1 PI)) (sqrt 1/2))) (- (+ (* +nan.0 (* (* (pow (sqrt 2) 2) (* (pow (sqrt 1/2) 3) (pow (log (* 2 PI)) 2))) (sqrt (/ 1 PI)))) (- (* +nan.0 (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) (sqrt (/ 1 PI))))))))))) (pow k 3)) (+ (* (- (+ (* +nan.0 (* (sqrt (/ 1 PI)) (sqrt 1/2))) (- (* +nan.0 (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) (sqrt (/ 1 PI))))))) (pow k 2)) (* (- (* +nan.0 (* (sqrt (/ 1 PI)) (sqrt 1/2)))) k))) into (- (+ (* +nan.0 (* (sqrt (/ 1 PI)) (* (sqrt 1/2) (pow k 2)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (sqrt (/ 1 PI)) (* (sqrt 1/2) (pow k 3)))) (- (+ (* +nan.0 (* (* (pow (log (* 2 PI)) 2) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 3)))) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (* (log (* 2 PI)) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 3)))) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (* (pow (log (* 2 PI)) 2) (* (pow (sqrt 2) 2) (* (pow (sqrt 1/2) 3) (pow k 3)))) (sqrt (/ 1 PI)))) (- (* +nan.0 (* (sqrt (/ 1 PI)) (* (sqrt 1/2) k)))))))))))))))) 72.535 * [backup-simplify]: Simplify (/ (sqrt (/ 1 k)) (pow (* 2 PI) (/ (- 1 (/ 1 k)) 2))) into (* (/ 1 (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k))))) (sqrt (/ 1 k))) 72.535 * [approximate]: Taking taylor expansion of (* (/ 1 (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k))))) (sqrt (/ 1 k))) in (k) around 0 72.535 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k))))) (sqrt (/ 1 k))) in k 72.535 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k))))) in k 72.535 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k)))) in k 72.535 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI)))) in k 72.535 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI))) in k 72.535 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 72.535 * [taylor]: Taking taylor expansion of 1/2 in k 72.535 * [backup-simplify]: Simplify 1/2 into 1/2 72.536 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 72.536 * [taylor]: Taking taylor expansion of 1 in k 72.536 * [backup-simplify]: Simplify 1 into 1 72.536 * [taylor]: Taking taylor expansion of (/ 1 k) in k 72.536 * [taylor]: Taking taylor expansion of k in k 72.536 * [backup-simplify]: Simplify 0 into 0 72.536 * [backup-simplify]: Simplify 1 into 1 72.536 * [backup-simplify]: Simplify (/ 1 1) into 1 72.536 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 72.536 * [taylor]: Taking taylor expansion of (* 2 PI) in k 72.536 * [taylor]: Taking taylor expansion of 2 in k 72.536 * [backup-simplify]: Simplify 2 into 2 72.536 * [taylor]: Taking taylor expansion of PI in k 72.536 * [backup-simplify]: Simplify PI into PI 72.537 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 72.538 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 72.538 * [backup-simplify]: Simplify (- 1) into -1 72.538 * [backup-simplify]: Simplify (+ 0 -1) into -1 72.539 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 72.547 * [backup-simplify]: Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI))) 72.548 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 72.549 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) into (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) 72.550 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 72.550 * [taylor]: Taking taylor expansion of (/ 1 k) in k 72.550 * [taylor]: Taking taylor expansion of k in k 72.550 * [backup-simplify]: Simplify 0 into 0 72.550 * [backup-simplify]: Simplify 1 into 1 72.550 * [backup-simplify]: Simplify (/ 1 1) into 1 72.550 * [backup-simplify]: Simplify (sqrt 0) into 0 72.552 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 72.552 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k))))) (sqrt (/ 1 k))) in k 72.552 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k))))) in k 72.552 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k)))) in k 72.552 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI)))) in k 72.552 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI))) in k 72.552 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 72.552 * [taylor]: Taking taylor expansion of 1/2 in k 72.552 * [backup-simplify]: Simplify 1/2 into 1/2 72.552 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 72.552 * [taylor]: Taking taylor expansion of 1 in k 72.552 * [backup-simplify]: Simplify 1 into 1 72.552 * [taylor]: Taking taylor expansion of (/ 1 k) in k 72.552 * [taylor]: Taking taylor expansion of k in k 72.552 * [backup-simplify]: Simplify 0 into 0 72.552 * [backup-simplify]: Simplify 1 into 1 72.553 * [backup-simplify]: Simplify (/ 1 1) into 1 72.553 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 72.553 * [taylor]: Taking taylor expansion of (* 2 PI) in k 72.553 * [taylor]: Taking taylor expansion of 2 in k 72.553 * [backup-simplify]: Simplify 2 into 2 72.553 * [taylor]: Taking taylor expansion of PI in k 72.553 * [backup-simplify]: Simplify PI into PI 72.553 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 72.554 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 72.554 * [backup-simplify]: Simplify (- 1) into -1 72.555 * [backup-simplify]: Simplify (+ 0 -1) into -1 72.555 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 72.557 * [backup-simplify]: Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI))) 72.558 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 72.559 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) into (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) 72.559 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 72.559 * [taylor]: Taking taylor expansion of (/ 1 k) in k 72.559 * [taylor]: Taking taylor expansion of k in k 72.559 * [backup-simplify]: Simplify 0 into 0 72.559 * [backup-simplify]: Simplify 1 into 1 72.559 * [backup-simplify]: Simplify (/ 1 1) into 1 72.560 * [backup-simplify]: Simplify (sqrt 0) into 0 72.561 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 72.562 * [backup-simplify]: Simplify (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) 0) into 0 72.562 * [backup-simplify]: Simplify 0 into 0 72.564 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))))) into 0 72.566 * [backup-simplify]: Simplify (+ (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) 72.567 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) 72.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 72.571 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 72.574 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) (* 0 (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))))) into 0 72.576 * [backup-simplify]: Simplify (+ (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) 72.577 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) 72.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 72.582 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 72.586 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) (* 0 (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) (* 0 (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))))) into 0 72.588 * [backup-simplify]: Simplify (+ (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) 72.589 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) 72.593 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log (* 2 PI)))))))) (pow (/ 1 k) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log (* 2 PI)))))))) (/ 1 k)) (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log (* 2 PI)))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) k))) (- (+ (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))))) (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (pow k 2))))))))) 72.593 * [backup-simplify]: Simplify (/ (sqrt (/ 1 (- k))) (pow (* 2 PI) (/ (- 1 (/ 1 (- k))) 2))) into (/ (sqrt (/ -1 k)) (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1)))) 72.593 * [approximate]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1)))) in (k) around 0 72.593 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1)))) in k 72.594 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 72.594 * [taylor]: Taking taylor expansion of (/ -1 k) in k 72.594 * [taylor]: Taking taylor expansion of -1 in k 72.594 * [backup-simplify]: Simplify -1 into -1 72.594 * [taylor]: Taking taylor expansion of k in k 72.594 * [backup-simplify]: Simplify 0 into 0 72.594 * [backup-simplify]: Simplify 1 into 1 72.594 * [backup-simplify]: Simplify (/ -1 1) into -1 72.594 * [backup-simplify]: Simplify (sqrt 0) into 0 72.596 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 72.596 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1))) in k 72.596 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI)))) in k 72.596 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI))) in k 72.596 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 72.596 * [taylor]: Taking taylor expansion of 1/2 in k 72.596 * [backup-simplify]: Simplify 1/2 into 1/2 72.596 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 72.596 * [taylor]: Taking taylor expansion of (/ 1 k) in k 72.596 * [taylor]: Taking taylor expansion of k in k 72.596 * [backup-simplify]: Simplify 0 into 0 72.596 * [backup-simplify]: Simplify 1 into 1 72.596 * [backup-simplify]: Simplify (/ 1 1) into 1 72.596 * [taylor]: Taking taylor expansion of 1 in k 72.596 * [backup-simplify]: Simplify 1 into 1 72.597 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 72.597 * [taylor]: Taking taylor expansion of (* 2 PI) in k 72.597 * [taylor]: Taking taylor expansion of 2 in k 72.597 * [backup-simplify]: Simplify 2 into 2 72.597 * [taylor]: Taking taylor expansion of PI in k 72.597 * [backup-simplify]: Simplify PI into PI 72.597 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 72.598 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 72.599 * [backup-simplify]: Simplify (+ 1 0) into 1 72.599 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 72.601 * [backup-simplify]: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 72.602 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 72.603 * [backup-simplify]: Simplify (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) into (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) 72.603 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1)))) in k 72.603 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 72.603 * [taylor]: Taking taylor expansion of (/ -1 k) in k 72.603 * [taylor]: Taking taylor expansion of -1 in k 72.603 * [backup-simplify]: Simplify -1 into -1 72.603 * [taylor]: Taking taylor expansion of k in k 72.603 * [backup-simplify]: Simplify 0 into 0 72.603 * [backup-simplify]: Simplify 1 into 1 72.604 * [backup-simplify]: Simplify (/ -1 1) into -1 72.604 * [backup-simplify]: Simplify (sqrt 0) into 0 72.606 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 72.606 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1))) in k 72.606 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI)))) in k 72.606 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI))) in k 72.606 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 72.606 * [taylor]: Taking taylor expansion of 1/2 in k 72.606 * [backup-simplify]: Simplify 1/2 into 1/2 72.606 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 72.606 * [taylor]: Taking taylor expansion of (/ 1 k) in k 72.606 * [taylor]: Taking taylor expansion of k in k 72.606 * [backup-simplify]: Simplify 0 into 0 72.606 * [backup-simplify]: Simplify 1 into 1 72.606 * [backup-simplify]: Simplify (/ 1 1) into 1 72.606 * [taylor]: Taking taylor expansion of 1 in k 72.606 * [backup-simplify]: Simplify 1 into 1 72.606 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 72.607 * [taylor]: Taking taylor expansion of (* 2 PI) in k 72.607 * [taylor]: Taking taylor expansion of 2 in k 72.607 * [backup-simplify]: Simplify 2 into 2 72.607 * [taylor]: Taking taylor expansion of PI in k 72.607 * [backup-simplify]: Simplify PI into PI 72.607 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 72.608 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 72.608 * [backup-simplify]: Simplify (+ 1 0) into 1 72.609 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 72.611 * [backup-simplify]: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 72.612 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 72.613 * [backup-simplify]: Simplify (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) into (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) 72.614 * [backup-simplify]: Simplify (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) into (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) 72.615 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 72.618 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 72.621 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) (+ (* (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) (/ 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))))))) 72.622 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))))))) 72.623 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 72.627 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 72.633 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) (+ (* (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) (/ 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))))) (* (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))))))) (/ 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))))))) 72.634 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))))))) 72.638 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (log (* 2 PI)))))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (log (* 2 PI)))))))) (/ 1 (- k))) (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (log (* 2 PI)))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) k))) (- (+ (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))))) (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (pow k 2))))))))) 72.638 * * * * [progress]: [ 4 / 4 ] generating series at (2) 72.639 * [backup-simplify]: Simplify (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) into (* (sqrt (/ 1 k)) (* (pow (* 2 PI) (* 1/2 (- 1 k))) (pow n (* 1/2 (- 1 k))))) 72.639 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2 PI) (* 1/2 (- 1 k))) (pow n (* 1/2 (- 1 k))))) in (n k) around 0 72.639 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2 PI) (* 1/2 (- 1 k))) (pow n (* 1/2 (- 1 k))))) in k 72.639 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 72.639 * [taylor]: Taking taylor expansion of (/ 1 k) in k 72.639 * [taylor]: Taking taylor expansion of k in k 72.639 * [backup-simplify]: Simplify 0 into 0 72.639 * [backup-simplify]: Simplify 1 into 1 72.639 * [backup-simplify]: Simplify (/ 1 1) into 1 72.640 * [backup-simplify]: Simplify (sqrt 0) into 0 72.641 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 72.641 * [taylor]: Taking taylor expansion of (* (pow (* 2 PI) (* 1/2 (- 1 k))) (pow n (* 1/2 (- 1 k)))) in k 72.641 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 k))) in k 72.641 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 PI)))) in k 72.641 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 PI))) in k 72.641 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 72.641 * [taylor]: Taking taylor expansion of 1/2 in k 72.641 * [backup-simplify]: Simplify 1/2 into 1/2 72.641 * [taylor]: Taking taylor expansion of (- 1 k) in k 72.641 * [taylor]: Taking taylor expansion of 1 in k 72.641 * [backup-simplify]: Simplify 1 into 1 72.641 * [taylor]: Taking taylor expansion of k in k 72.641 * [backup-simplify]: Simplify 0 into 0 72.641 * [backup-simplify]: Simplify 1 into 1 72.641 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 72.641 * [taylor]: Taking taylor expansion of (* 2 PI) in k 72.641 * [taylor]: Taking taylor expansion of 2 in k 72.641 * [backup-simplify]: Simplify 2 into 2 72.641 * [taylor]: Taking taylor expansion of PI in k 72.642 * [backup-simplify]: Simplify PI into PI 72.642 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 72.643 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 72.643 * [backup-simplify]: Simplify (- 0) into 0 72.644 * [backup-simplify]: Simplify (+ 1 0) into 1 72.644 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 72.646 * [backup-simplify]: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 72.648 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) 72.648 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in k 72.648 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in k 72.648 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in k 72.648 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 72.648 * [taylor]: Taking taylor expansion of 1/2 in k 72.648 * [backup-simplify]: Simplify 1/2 into 1/2 72.648 * [taylor]: Taking taylor expansion of (- 1 k) in k 72.648 * [taylor]: Taking taylor expansion of 1 in k 72.648 * [backup-simplify]: Simplify 1 into 1 72.648 * [taylor]: Taking taylor expansion of k in k 72.648 * [backup-simplify]: Simplify 0 into 0 72.648 * [backup-simplify]: Simplify 1 into 1 72.648 * [taylor]: Taking taylor expansion of (log n) in k 72.648 * [taylor]: Taking taylor expansion of n in k 72.648 * [backup-simplify]: Simplify n into n 72.649 * [backup-simplify]: Simplify (log n) into (log n) 72.649 * [backup-simplify]: Simplify (- 0) into 0 72.649 * [backup-simplify]: Simplify (+ 1 0) into 1 72.650 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 72.650 * [backup-simplify]: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 72.650 * [backup-simplify]: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 72.650 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2 PI) (* 1/2 (- 1 k))) (pow n (* 1/2 (- 1 k))))) in n 72.650 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 72.650 * [taylor]: Taking taylor expansion of (/ 1 k) in n 72.650 * [taylor]: Taking taylor expansion of k in n 72.650 * [backup-simplify]: Simplify k into k 72.650 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 72.650 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 72.650 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 72.650 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 72.651 * [taylor]: Taking taylor expansion of (* (pow (* 2 PI) (* 1/2 (- 1 k))) (pow n (* 1/2 (- 1 k)))) in n 72.651 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 k))) in n 72.651 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 PI)))) in n 72.651 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 PI))) in n 72.651 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 72.651 * [taylor]: Taking taylor expansion of 1/2 in n 72.651 * [backup-simplify]: Simplify 1/2 into 1/2 72.651 * [taylor]: Taking taylor expansion of (- 1 k) in n 72.651 * [taylor]: Taking taylor expansion of 1 in n 72.651 * [backup-simplify]: Simplify 1 into 1 72.651 * [taylor]: Taking taylor expansion of k in n 72.651 * [backup-simplify]: Simplify k into k 72.651 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 72.651 * [taylor]: Taking taylor expansion of (* 2 PI) in n 72.651 * [taylor]: Taking taylor expansion of 2 in n 72.651 * [backup-simplify]: Simplify 2 into 2 72.651 * [taylor]: Taking taylor expansion of PI in n 72.651 * [backup-simplify]: Simplify PI into PI 72.652 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 72.653 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 72.653 * [backup-simplify]: Simplify (- k) into (- k) 72.653 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 72.653 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 72.654 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log (* 2 PI))) into (* 1/2 (* (- 1 k) (log (* 2 PI)))) 72.655 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) into (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) 72.655 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in n 72.655 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in n 72.655 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in n 72.655 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 72.655 * [taylor]: Taking taylor expansion of 1/2 in n 72.655 * [backup-simplify]: Simplify 1/2 into 1/2 72.655 * [taylor]: Taking taylor expansion of (- 1 k) in n 72.655 * [taylor]: Taking taylor expansion of 1 in n 72.655 * [backup-simplify]: Simplify 1 into 1 72.655 * [taylor]: Taking taylor expansion of k in n 72.655 * [backup-simplify]: Simplify k into k 72.655 * [taylor]: Taking taylor expansion of (log n) in n 72.655 * [taylor]: Taking taylor expansion of n in n 72.655 * [backup-simplify]: Simplify 0 into 0 72.655 * [backup-simplify]: Simplify 1 into 1 72.656 * [backup-simplify]: Simplify (log 1) into 0 72.656 * [backup-simplify]: Simplify (- k) into (- k) 72.656 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 72.656 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 72.656 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 72.656 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log n)) into (* 1/2 (* (- 1 k) (log n))) 72.656 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log n)))) into (exp (* 1/2 (* (- 1 k) (log n)))) 72.656 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2 PI) (* 1/2 (- 1 k))) (pow n (* 1/2 (- 1 k))))) in n 72.656 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 72.656 * [taylor]: Taking taylor expansion of (/ 1 k) in n 72.656 * [taylor]: Taking taylor expansion of k in n 72.656 * [backup-simplify]: Simplify k into k 72.657 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 72.657 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 72.657 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 72.657 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 72.657 * [taylor]: Taking taylor expansion of (* (pow (* 2 PI) (* 1/2 (- 1 k))) (pow n (* 1/2 (- 1 k)))) in n 72.657 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 k))) in n 72.657 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 PI)))) in n 72.657 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 PI))) in n 72.657 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 72.657 * [taylor]: Taking taylor expansion of 1/2 in n 72.657 * [backup-simplify]: Simplify 1/2 into 1/2 72.657 * [taylor]: Taking taylor expansion of (- 1 k) in n 72.657 * [taylor]: Taking taylor expansion of 1 in n 72.657 * [backup-simplify]: Simplify 1 into 1 72.657 * [taylor]: Taking taylor expansion of k in n 72.657 * [backup-simplify]: Simplify k into k 72.657 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 72.657 * [taylor]: Taking taylor expansion of (* 2 PI) in n 72.657 * [taylor]: Taking taylor expansion of 2 in n 72.657 * [backup-simplify]: Simplify 2 into 2 72.657 * [taylor]: Taking taylor expansion of PI in n 72.657 * [backup-simplify]: Simplify PI into PI 72.658 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 72.659 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 72.659 * [backup-simplify]: Simplify (- k) into (- k) 72.659 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 72.659 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 72.660 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log (* 2 PI))) into (* 1/2 (* (- 1 k) (log (* 2 PI)))) 72.661 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) into (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) 72.661 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in n 72.661 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in n 72.661 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in n 72.661 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 72.661 * [taylor]: Taking taylor expansion of 1/2 in n 72.661 * [backup-simplify]: Simplify 1/2 into 1/2 72.661 * [taylor]: Taking taylor expansion of (- 1 k) in n 72.661 * [taylor]: Taking taylor expansion of 1 in n 72.661 * [backup-simplify]: Simplify 1 into 1 72.661 * [taylor]: Taking taylor expansion of k in n 72.661 * [backup-simplify]: Simplify k into k 72.661 * [taylor]: Taking taylor expansion of (log n) in n 72.661 * [taylor]: Taking taylor expansion of n in n 72.661 * [backup-simplify]: Simplify 0 into 0 72.661 * [backup-simplify]: Simplify 1 into 1 72.662 * [backup-simplify]: Simplify (log 1) into 0 72.662 * [backup-simplify]: Simplify (- k) into (- k) 72.662 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 72.662 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 72.662 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 72.662 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log n)) into (* 1/2 (* (- 1 k) (log n))) 72.663 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log n)))) into (exp (* 1/2 (* (- 1 k) (log n)))) 72.664 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (exp (* 1/2 (* (- 1 k) (log n))))) into (* (exp (* 1/2 (* (- 1 k) (log n)))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) 72.665 * [backup-simplify]: Simplify (* (sqrt (/ 1 k)) (* (exp (* 1/2 (* (- 1 k) (log n)))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))))) into (* (* (exp (* 1/2 (* (- 1 k) (log n)))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (sqrt (/ 1 k))) 72.665 * [taylor]: Taking taylor expansion of (* (* (exp (* 1/2 (* (- 1 k) (log n)))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (sqrt (/ 1 k))) in k 72.665 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 k) (log n)))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) in k 72.665 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (log n)))) in k 72.665 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (log n))) in k 72.665 * [taylor]: Taking taylor expansion of 1/2 in k 72.665 * [backup-simplify]: Simplify 1/2 into 1/2 72.665 * [taylor]: Taking taylor expansion of (* (- 1 k) (log n)) in k 72.665 * [taylor]: Taking taylor expansion of (- 1 k) in k 72.665 * [taylor]: Taking taylor expansion of 1 in k 72.665 * [backup-simplify]: Simplify 1 into 1 72.665 * [taylor]: Taking taylor expansion of k in k 72.665 * [backup-simplify]: Simplify 0 into 0 72.665 * [backup-simplify]: Simplify 1 into 1 72.665 * [taylor]: Taking taylor expansion of (log n) in k 72.665 * [taylor]: Taking taylor expansion of n in k 72.665 * [backup-simplify]: Simplify n into n 72.666 * [backup-simplify]: Simplify (log n) into (log n) 72.666 * [backup-simplify]: Simplify (- 0) into 0 72.666 * [backup-simplify]: Simplify (+ 1 0) into 1 72.666 * [backup-simplify]: Simplify (* 1 (log n)) into (log n) 72.666 * [backup-simplify]: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 72.667 * [backup-simplify]: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 72.667 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) in k 72.667 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (log (* 2 PI)))) in k 72.667 * [taylor]: Taking taylor expansion of 1/2 in k 72.667 * [backup-simplify]: Simplify 1/2 into 1/2 72.667 * [taylor]: Taking taylor expansion of (* (- 1 k) (log (* 2 PI))) in k 72.667 * [taylor]: Taking taylor expansion of (- 1 k) in k 72.667 * [taylor]: Taking taylor expansion of 1 in k 72.667 * [backup-simplify]: Simplify 1 into 1 72.667 * [taylor]: Taking taylor expansion of k in k 72.667 * [backup-simplify]: Simplify 0 into 0 72.667 * [backup-simplify]: Simplify 1 into 1 72.667 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 72.667 * [taylor]: Taking taylor expansion of (* 2 PI) in k 72.667 * [taylor]: Taking taylor expansion of 2 in k 72.667 * [backup-simplify]: Simplify 2 into 2 72.667 * [taylor]: Taking taylor expansion of PI in k 72.667 * [backup-simplify]: Simplify PI into PI 72.667 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 72.668 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 72.669 * [backup-simplify]: Simplify (- 0) into 0 72.669 * [backup-simplify]: Simplify (+ 1 0) into 1 72.671 * [backup-simplify]: Simplify (* 1 (log (* 2 PI))) into (log (* 2 PI)) 72.672 * [backup-simplify]: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 72.675 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) 72.675 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 72.675 * [taylor]: Taking taylor expansion of (/ 1 k) in k 72.675 * [taylor]: Taking taylor expansion of k in k 72.675 * [backup-simplify]: Simplify 0 into 0 72.675 * [backup-simplify]: Simplify 1 into 1 72.675 * [backup-simplify]: Simplify (/ 1 1) into 1 72.676 * [backup-simplify]: Simplify (sqrt 0) into 0 72.677 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 72.678 * [backup-simplify]: Simplify (* (pow n 1/2) (pow (* 2 PI) 1/2)) into (sqrt (* PI (* n 2))) 72.678 * [backup-simplify]: Simplify (* (sqrt (* PI (* n 2))) 0) into 0 72.678 * [backup-simplify]: Simplify 0 into 0 72.680 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 72.680 * [backup-simplify]: Simplify (- 0) into 0 72.680 * [backup-simplify]: Simplify (+ 0 0) into 0 72.681 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 72.681 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 72.681 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (log n))) into 0 72.682 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 72.683 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 72.685 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 72.690 * [backup-simplify]: Simplify (- 0) into 0 72.691 * [backup-simplify]: Simplify (+ 0 0) into 0 72.692 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 72.692 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (log (* 2 PI)))) into 0 72.695 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 72.696 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) 0) (* 0 (exp (* 1/2 (* (- 1 k) (log n)))))) into 0 72.697 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (* (exp (* 1/2 (* (- 1 k) (log n)))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))))) into 0 72.697 * [taylor]: Taking taylor expansion of 0 in k 72.697 * [backup-simplify]: Simplify 0 into 0 72.698 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 72.699 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 72.700 * [backup-simplify]: Simplify (- 1) into -1 72.700 * [backup-simplify]: Simplify (+ 0 -1) into -1 72.704 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (log (* 2 PI)))) into (- (log (* 2 PI))) 72.708 * [backup-simplify]: Simplify (+ (* 1/2 (- (log (* 2 PI)))) (* 0 (log (* 2 PI)))) into (- (* 1/2 (log (* 2 PI)))) 72.720 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 1) 1)))) into (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI)))) 72.720 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 72.721 * [backup-simplify]: Simplify (- 1) into -1 72.721 * [backup-simplify]: Simplify (+ 0 -1) into -1 72.722 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (log n))) into (- (log n)) 72.722 * [backup-simplify]: Simplify (+ (* 1/2 (- (log n))) (* 0 (log n))) into (- (* 1/2 (log n))) 72.722 * [backup-simplify]: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 72.727 * [backup-simplify]: Simplify (+ (* (pow n 1/2) (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI))))) (* (* -1/2 (* (sqrt n) (log n))) (pow (* 2 PI) 1/2))) into (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))) 72.730 * [backup-simplify]: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (* (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) 72.731 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) 72.734 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 72.734 * [backup-simplify]: Simplify (- 0) into 0 72.735 * [backup-simplify]: Simplify (+ 0 0) into 0 72.736 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 72.736 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 72.737 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 72.738 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 72.739 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 72.742 * [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 72.743 * [backup-simplify]: Simplify (- 0) into 0 72.743 * [backup-simplify]: Simplify (+ 0 0) into 0 72.744 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 72.745 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (log (* 2 PI))))) into 0 72.748 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 72.749 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (- 1 k) (log n))))))) into 0 72.749 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 72.750 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 72.752 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (* (exp (* 1/2 (* (- 1 k) (log n)))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))))))) into 0 72.752 * [taylor]: Taking taylor expansion of 0 in k 72.752 * [backup-simplify]: Simplify 0 into 0 72.752 * [backup-simplify]: Simplify 0 into 0 72.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 72.756 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 72.757 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 72.760 * [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 72.760 * [backup-simplify]: Simplify (- 0) into 0 72.761 * [backup-simplify]: Simplify (+ 0 0) into 0 72.763 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (log (* 2 PI))))) into 0 72.764 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (log (* 2 PI)))) (* 0 (log (* 2 PI))))) into 0 72.778 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2))) 72.780 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 72.781 * [backup-simplify]: Simplify (- 0) into 0 72.781 * [backup-simplify]: Simplify (+ 0 0) into 0 72.782 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (log n)))) into 0 72.783 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (log n))) (* 0 (log n)))) into 0 72.784 * [backup-simplify]: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 72.794 * [backup-simplify]: Simplify (+ (* (pow n 1/2) (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2)))) (+ (* (* -1/2 (* (sqrt n) (log n))) (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI))))) (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (pow (* 2 PI) 1/2)))) into (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (* 1/4 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))))) 72.802 * [backup-simplify]: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))) +nan.0) (* (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (* 1/4 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))))) 72.804 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))))) 72.807 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 72.807 * [backup-simplify]: Simplify (- 0) into 0 72.808 * [backup-simplify]: Simplify (+ 0 0) into 0 72.808 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 k))))) into 0 72.809 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 72.809 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log n))))) into 0 72.810 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 72.811 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 72.814 * [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 72.815 * [backup-simplify]: Simplify (- 0) into 0 72.815 * [backup-simplify]: Simplify (+ 0 0) into 0 72.816 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 k))))) into 0 72.817 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 2 PI)))))) into 0 72.823 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 72.825 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (- 1 k) (log n)))))))) into 0 72.825 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 72.826 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 72.827 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (exp (* 1/2 (* (- 1 k) (log n)))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))))))) into 0 72.827 * [taylor]: Taking taylor expansion of 0 in k 72.827 * [backup-simplify]: Simplify 0 into 0 72.827 * [backup-simplify]: Simplify 0 into 0 72.827 * [backup-simplify]: Simplify 0 into 0 72.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 72.830 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 72.831 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 72.834 * [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 72.834 * [backup-simplify]: Simplify (- 0) into 0 72.834 * [backup-simplify]: Simplify (+ 0 0) into 0 72.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (log (* 2 PI)))))) into 0 72.836 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (log (* 2 PI)))) (* 0 (log (* 2 PI)))))) into 0 72.854 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 3))) 72.855 * [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 72.856 * [backup-simplify]: Simplify (- 0) into 0 72.856 * [backup-simplify]: Simplify (+ 0 0) into 0 72.857 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (log n))))) into 0 72.857 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (log n))) (* 0 (log n))))) into 0 72.858 * [backup-simplify]: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 3) 6)) (* (/ (pow (- (* 1/2 (log n))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt n) (pow (log n) 3))) 72.868 * [backup-simplify]: Simplify (+ (* (pow n 1/2) (* -1/48 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 3)))) (+ (* (* -1/2 (* (sqrt n) (log n))) (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2)))) (+ (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI))))) (* (* -1/48 (* (sqrt n) (pow (log n) 3))) (pow (* 2 PI) 1/2))))) into (- (+ (* 1/48 (* (* (sqrt 2) (pow (log n) 3)) (sqrt (* n PI)))) (+ (* 1/16 (* (* (sqrt 2) (* (log n) (pow (log (* 2 PI)) 2))) (sqrt (* n PI)))) (+ (* 1/16 (* (* (sqrt 2) (* (pow (log n) 2) (log (* 2 PI)))) (sqrt (* n PI)))) (* 1/48 (* (* (sqrt 2) (pow (log (* 2 PI)) 3)) (sqrt (* n PI)))))))) 72.878 * [backup-simplify]: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))) +nan.0) (+ (* (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (* 1/4 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))))) +nan.0) (* (- (+ (* 1/48 (* (* (sqrt 2) (pow (log n) 3)) (sqrt (* n PI)))) (+ (* 1/16 (* (* (sqrt 2) (* (log n) (pow (log (* 2 PI)) 2))) (sqrt (* n PI)))) (+ (* 1/16 (* (* (sqrt 2) (* (pow (log n) 2) (log (* 2 PI)))) (sqrt (* n PI)))) (* 1/48 (* (* (sqrt 2) (pow (log (* 2 PI)) 3)) (sqrt (* n PI)))))))) 0)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI))))))))))))))) 72.887 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI))))))))))))))) into (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI))))))))))))))) 72.901 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI))))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))))) (* k 1)) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) into (- (+ (* +nan.0 (* (* (sqrt 2) (pow k 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) k) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (pow (log (* 2 PI)) 2) (* (sqrt 2) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log n) 2) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log n) k)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log n) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log (* 2 PI)) (* (sqrt 2) (* (log n) (pow k 2)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* k (log (* 2 PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (log (* 2 PI)) (* (sqrt 2) (pow k 2))) (sqrt (* n PI))))))))))))))))))))))) 72.902 * [backup-simplify]: Simplify (/ (pow (/ 1 n) (/ (- 1 (/ 1 k)) 2)) (/ (sqrt (/ 1 k)) (pow (* 2 PI) (/ (- 1 (/ 1 k)) 2)))) into (* (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k))))) (sqrt k)) 72.902 * [approximate]: Taking taylor expansion of (* (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k))))) (sqrt k)) in (n k) around 0 72.902 * [taylor]: Taking taylor expansion of (* (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k))))) (sqrt k)) in k 72.902 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k))))) in k 72.902 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in k 72.902 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in k 72.902 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in k 72.902 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 72.902 * [taylor]: Taking taylor expansion of 1/2 in k 72.902 * [backup-simplify]: Simplify 1/2 into 1/2 72.902 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 72.902 * [taylor]: Taking taylor expansion of 1 in k 72.902 * [backup-simplify]: Simplify 1 into 1 72.902 * [taylor]: Taking taylor expansion of (/ 1 k) in k 72.902 * [taylor]: Taking taylor expansion of k in k 72.902 * [backup-simplify]: Simplify 0 into 0 72.902 * [backup-simplify]: Simplify 1 into 1 72.902 * [backup-simplify]: Simplify (/ 1 1) into 1 72.902 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 72.902 * [taylor]: Taking taylor expansion of (/ 1 n) in k 72.902 * [taylor]: Taking taylor expansion of n in k 72.902 * [backup-simplify]: Simplify n into n 72.902 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 72.902 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 72.903 * [backup-simplify]: Simplify (- 1) into -1 72.903 * [backup-simplify]: Simplify (+ 0 -1) into -1 72.903 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 72.903 * [backup-simplify]: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 72.903 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) 72.903 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k)))) in k 72.903 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI)))) in k 72.903 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI))) in k 72.903 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 72.903 * [taylor]: Taking taylor expansion of 1/2 in k 72.903 * [backup-simplify]: Simplify 1/2 into 1/2 72.903 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 72.903 * [taylor]: Taking taylor expansion of 1 in k 72.903 * [backup-simplify]: Simplify 1 into 1 72.903 * [taylor]: Taking taylor expansion of (/ 1 k) in k 72.903 * [taylor]: Taking taylor expansion of k in k 72.903 * [backup-simplify]: Simplify 0 into 0 72.903 * [backup-simplify]: Simplify 1 into 1 72.904 * [backup-simplify]: Simplify (/ 1 1) into 1 72.904 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 72.904 * [taylor]: Taking taylor expansion of (* 2 PI) in k 72.904 * [taylor]: Taking taylor expansion of 2 in k 72.904 * [backup-simplify]: Simplify 2 into 2 72.904 * [taylor]: Taking taylor expansion of PI in k 72.904 * [backup-simplify]: Simplify PI into PI 72.904 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 72.905 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 72.905 * [backup-simplify]: Simplify (- 1) into -1 72.905 * [backup-simplify]: Simplify (+ 0 -1) into -1 72.905 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 72.906 * [backup-simplify]: Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI))) 72.907 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 72.907 * [taylor]: Taking taylor expansion of (sqrt k) in k 72.907 * [taylor]: Taking taylor expansion of k in k 72.907 * [backup-simplify]: Simplify 0 into 0 72.907 * [backup-simplify]: Simplify 1 into 1 72.907 * [backup-simplify]: Simplify (sqrt 0) into 0 72.908 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 72.908 * [taylor]: Taking taylor expansion of (* (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k))))) (sqrt k)) in n 72.908 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k))))) in n 72.908 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in n 72.908 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in n 72.909 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in n 72.909 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 72.909 * [taylor]: Taking taylor expansion of 1/2 in n 72.909 * [backup-simplify]: Simplify 1/2 into 1/2 72.909 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 72.909 * [taylor]: Taking taylor expansion of 1 in n 72.909 * [backup-simplify]: Simplify 1 into 1 72.909 * [taylor]: Taking taylor expansion of (/ 1 k) in n 72.909 * [taylor]: Taking taylor expansion of k in n 72.909 * [backup-simplify]: Simplify k into k 72.909 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 72.909 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 72.909 * [taylor]: Taking taylor expansion of (/ 1 n) in n 72.909 * [taylor]: Taking taylor expansion of n in n 72.909 * [backup-simplify]: Simplify 0 into 0 72.909 * [backup-simplify]: Simplify 1 into 1 72.909 * [backup-simplify]: Simplify (/ 1 1) into 1 72.909 * [backup-simplify]: Simplify (log 1) into 0 72.909 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 72.909 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 72.909 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 72.910 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 72.910 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log n))) into (* -1/2 (* (- 1 (/ 1 k)) (log n))) 72.910 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 72.910 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k)))) in n 72.910 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI)))) in n 72.910 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI))) in n 72.910 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 72.910 * [taylor]: Taking taylor expansion of 1/2 in n 72.910 * [backup-simplify]: Simplify 1/2 into 1/2 72.910 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 72.910 * [taylor]: Taking taylor expansion of 1 in n 72.910 * [backup-simplify]: Simplify 1 into 1 72.910 * [taylor]: Taking taylor expansion of (/ 1 k) in n 72.910 * [taylor]: Taking taylor expansion of k in n 72.910 * [backup-simplify]: Simplify k into k 72.910 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 72.910 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 72.910 * [taylor]: Taking taylor expansion of (* 2 PI) in n 72.910 * [taylor]: Taking taylor expansion of 2 in n 72.910 * [backup-simplify]: Simplify 2 into 2 72.910 * [taylor]: Taking taylor expansion of PI in n 72.910 * [backup-simplify]: Simplify PI into PI 72.911 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 72.911 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 72.911 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 72.911 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 72.911 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 72.912 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI))) into (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))) 72.913 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 72.913 * [taylor]: Taking taylor expansion of (sqrt k) in n 72.913 * [taylor]: Taking taylor expansion of k in n 72.913 * [backup-simplify]: Simplify k into k 72.913 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 72.913 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 72.913 * [taylor]: Taking taylor expansion of (* (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k))))) (sqrt k)) in n 72.913 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k))))) in n 72.913 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in n 72.913 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in n 72.913 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in n 72.913 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 72.913 * [taylor]: Taking taylor expansion of 1/2 in n 72.913 * [backup-simplify]: Simplify 1/2 into 1/2 72.913 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 72.913 * [taylor]: Taking taylor expansion of 1 in n 72.913 * [backup-simplify]: Simplify 1 into 1 72.913 * [taylor]: Taking taylor expansion of (/ 1 k) in n 72.914 * [taylor]: Taking taylor expansion of k in n 72.914 * [backup-simplify]: Simplify k into k 72.914 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 72.914 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 72.914 * [taylor]: Taking taylor expansion of (/ 1 n) in n 72.914 * [taylor]: Taking taylor expansion of n in n 72.914 * [backup-simplify]: Simplify 0 into 0 72.914 * [backup-simplify]: Simplify 1 into 1 72.914 * [backup-simplify]: Simplify (/ 1 1) into 1 72.914 * [backup-simplify]: Simplify (log 1) into 0 72.914 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 72.914 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 72.914 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 72.915 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 72.915 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log n))) into (* -1/2 (* (- 1 (/ 1 k)) (log n))) 72.915 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 72.915 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k)))) in n 72.915 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI)))) in n 72.915 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI))) in n 72.915 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 72.915 * [taylor]: Taking taylor expansion of 1/2 in n 72.915 * [backup-simplify]: Simplify 1/2 into 1/2 72.915 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 72.915 * [taylor]: Taking taylor expansion of 1 in n 72.915 * [backup-simplify]: Simplify 1 into 1 72.915 * [taylor]: Taking taylor expansion of (/ 1 k) in n 72.915 * [taylor]: Taking taylor expansion of k in n 72.915 * [backup-simplify]: Simplify k into k 72.915 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 72.915 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 72.915 * [taylor]: Taking taylor expansion of (* 2 PI) in n 72.915 * [taylor]: Taking taylor expansion of 2 in n 72.915 * [backup-simplify]: Simplify 2 into 2 72.915 * [taylor]: Taking taylor expansion of PI in n 72.915 * [backup-simplify]: Simplify PI into PI 72.915 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 72.921 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 72.922 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 72.922 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 72.922 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 72.922 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI))) into (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))) 72.923 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 72.923 * [taylor]: Taking taylor expansion of (sqrt k) in n 72.923 * [taylor]: Taking taylor expansion of k in n 72.923 * [backup-simplify]: Simplify k into k 72.923 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 72.923 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 72.924 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) into (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) 72.925 * [backup-simplify]: Simplify (* (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) (sqrt k)) into (* (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) (sqrt k)) 72.925 * [taylor]: Taking taylor expansion of (* (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) (sqrt k)) in k 72.925 * [taylor]: Taking taylor expansion of (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) in k 72.925 * [taylor]: Taking taylor expansion of (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) in k 72.925 * [taylor]: Taking taylor expansion of (* -1/2 (* (- 1 (/ 1 k)) (log n))) in k 72.925 * [taylor]: Taking taylor expansion of -1/2 in k 72.925 * [backup-simplify]: Simplify -1/2 into -1/2 72.925 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log n)) in k 72.925 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 72.925 * [taylor]: Taking taylor expansion of 1 in k 72.925 * [backup-simplify]: Simplify 1 into 1 72.925 * [taylor]: Taking taylor expansion of (/ 1 k) in k 72.925 * [taylor]: Taking taylor expansion of k in k 72.925 * [backup-simplify]: Simplify 0 into 0 72.925 * [backup-simplify]: Simplify 1 into 1 72.925 * [backup-simplify]: Simplify (/ 1 1) into 1 72.925 * [taylor]: Taking taylor expansion of (log n) in k 72.925 * [taylor]: Taking taylor expansion of n in k 72.925 * [backup-simplify]: Simplify n into n 72.925 * [backup-simplify]: Simplify (log n) into (log n) 72.926 * [backup-simplify]: Simplify (- 1) into -1 72.926 * [backup-simplify]: Simplify (+ 0 -1) into -1 72.926 * [backup-simplify]: Simplify (* -1 (log n)) into (* -1 (log n)) 72.926 * [backup-simplify]: Simplify (* -1/2 (* -1 (log n))) into (* 1/2 (log n)) 72.926 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 72.926 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) in k 72.926 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))) in k 72.926 * [taylor]: Taking taylor expansion of 1/2 in k 72.926 * [backup-simplify]: Simplify 1/2 into 1/2 72.926 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 PI))) in k 72.926 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 72.926 * [taylor]: Taking taylor expansion of 1 in k 72.926 * [backup-simplify]: Simplify 1 into 1 72.926 * [taylor]: Taking taylor expansion of (/ 1 k) in k 72.926 * [taylor]: Taking taylor expansion of k in k 72.926 * [backup-simplify]: Simplify 0 into 0 72.926 * [backup-simplify]: Simplify 1 into 1 72.927 * [backup-simplify]: Simplify (/ 1 1) into 1 72.927 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 72.927 * [taylor]: Taking taylor expansion of (* 2 PI) in k 72.927 * [taylor]: Taking taylor expansion of 2 in k 72.927 * [backup-simplify]: Simplify 2 into 2 72.927 * [taylor]: Taking taylor expansion of PI in k 72.927 * [backup-simplify]: Simplify PI into PI 72.927 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 72.928 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 72.928 * [backup-simplify]: Simplify (- 1) into -1 72.928 * [backup-simplify]: Simplify (+ 0 -1) into -1 72.929 * [backup-simplify]: Simplify (* -1 (log (* 2 PI))) into (* -1 (log (* 2 PI))) 72.931 * [backup-simplify]: Simplify (* 1/2 (* -1 (log (* 2 PI)))) into (* -1/2 (log (* 2 PI))) 72.931 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 72.931 * [taylor]: Taking taylor expansion of (sqrt k) in k 72.931 * [taylor]: Taking taylor expansion of k in k 72.931 * [backup-simplify]: Simplify 0 into 0 72.931 * [backup-simplify]: Simplify 1 into 1 72.931 * [backup-simplify]: Simplify (sqrt 0) into 0 72.932 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 72.933 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) into (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) 72.934 * [backup-simplify]: Simplify (* (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) 0) into 0 72.934 * [backup-simplify]: Simplify 0 into 0 72.934 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 72.935 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 72.935 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 72.936 * [backup-simplify]: Simplify (- 0) into 0 72.936 * [backup-simplify]: Simplify (+ 0 0) into 0 72.936 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 72.937 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (log (* 2 PI)))) into 0 72.938 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 72.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 72.939 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 72.939 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 72.939 * [backup-simplify]: Simplify (- 0) into 0 72.940 * [backup-simplify]: Simplify (+ 0 0) into 0 72.940 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 72.940 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 72.940 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 72.941 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 72.942 * [backup-simplify]: Simplify (+ (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) into 0 72.942 * [backup-simplify]: Simplify (+ (* (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) 0) (* 0 (sqrt k))) into 0 72.942 * [taylor]: Taking taylor expansion of 0 in k 72.942 * [backup-simplify]: Simplify 0 into 0 72.942 * [backup-simplify]: Simplify 0 into 0 72.943 * [backup-simplify]: Simplify (+ (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) into 0 72.944 * [backup-simplify]: Simplify (+ (* (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) 72.945 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) into (- (* +nan.0 (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) 72.945 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 72.946 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 72.948 * [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 72.948 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 72.948 * [backup-simplify]: Simplify (- 0) into 0 72.948 * [backup-simplify]: Simplify (+ 0 0) into 0 72.949 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 72.950 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (log (* 2 PI))))) into 0 72.952 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 72.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 72.956 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 72.956 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 72.956 * [backup-simplify]: Simplify (- 0) into 0 72.957 * [backup-simplify]: Simplify (+ 0 0) into 0 72.958 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 72.958 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 72.959 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 72.960 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 72.962 * [backup-simplify]: Simplify (+ (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) into 0 72.964 * [backup-simplify]: Simplify (+ (* (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0 72.964 * [taylor]: Taking taylor expansion of 0 in k 72.964 * [backup-simplify]: Simplify 0 into 0 72.964 * [backup-simplify]: Simplify 0 into 0 72.964 * [backup-simplify]: Simplify 0 into 0 72.967 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 72.969 * [backup-simplify]: Simplify (+ (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) into 0 72.971 * [backup-simplify]: Simplify (+ (* (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) 72.972 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) into (- (* +nan.0 (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) 72.973 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 72.974 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 72.980 * [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 72.980 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 72.981 * [backup-simplify]: Simplify (- 0) into 0 72.981 * [backup-simplify]: Simplify (+ 0 0) into 0 72.982 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 72.983 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 2 PI)))))) into 0 72.986 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 72.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 72.992 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 72.992 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 72.993 * [backup-simplify]: Simplify (- 0) into 0 72.993 * [backup-simplify]: Simplify (+ 0 0) into 0 72.995 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 72.995 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 72.996 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 72.998 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 73.000 * [backup-simplify]: Simplify (+ (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))))) into 0 73.002 * [backup-simplify]: Simplify (+ (* (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0 73.002 * [taylor]: Taking taylor expansion of 0 in k 73.002 * [backup-simplify]: Simplify 0 into 0 73.002 * [backup-simplify]: Simplify 0 into 0 73.002 * [backup-simplify]: Simplify 0 into 0 73.002 * [backup-simplify]: Simplify 0 into 0 73.006 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 73.008 * [backup-simplify]: Simplify (+ (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))))) into 0 73.010 * [backup-simplify]: Simplify (+ (* (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) 73.012 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) into (- (* +nan.0 (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) 73.016 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (exp (* -1/2 (* (- 1 (/ 1 (/ 1 k))) (log (/ 1 n))))) (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log (* 2 PI)))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (* (exp (* -1/2 (* (- 1 (/ 1 (/ 1 k))) (log (/ 1 n))))) (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log (* 2 PI)))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (* (exp (* -1/2 (* (- 1 (/ 1 (/ 1 k))) (log (/ 1 n))))) (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log (* 2 PI)))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) k)) (- (* +nan.0 (/ (* (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (pow k 3)))))))) 73.017 * [backup-simplify]: Simplify (/ (pow (/ 1 (- n)) (/ (- 1 (/ 1 (- k))) 2)) (/ (sqrt (/ 1 (- k))) (pow (* 2 PI) (/ (- 1 (/ 1 (- k))) 2)))) into (/ (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1)))) (sqrt (/ -1 k))) 73.017 * [approximate]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1)))) (sqrt (/ -1 k))) in (n k) around 0 73.017 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1)))) (sqrt (/ -1 k))) in k 73.017 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1)))) in k 73.017 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in k 73.017 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in k 73.017 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in k 73.017 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 73.017 * [taylor]: Taking taylor expansion of 1/2 in k 73.017 * [backup-simplify]: Simplify 1/2 into 1/2 73.017 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 73.017 * [taylor]: Taking taylor expansion of (/ 1 k) in k 73.018 * [taylor]: Taking taylor expansion of k in k 73.018 * [backup-simplify]: Simplify 0 into 0 73.018 * [backup-simplify]: Simplify 1 into 1 73.018 * [backup-simplify]: Simplify (/ 1 1) into 1 73.018 * [taylor]: Taking taylor expansion of 1 in k 73.018 * [backup-simplify]: Simplify 1 into 1 73.018 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 73.018 * [taylor]: Taking taylor expansion of (/ -1 n) in k 73.018 * [taylor]: Taking taylor expansion of -1 in k 73.018 * [backup-simplify]: Simplify -1 into -1 73.018 * [taylor]: Taking taylor expansion of n in k 73.018 * [backup-simplify]: Simplify n into n 73.018 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 73.018 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 73.019 * [backup-simplify]: Simplify (+ 1 0) into 1 73.019 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 73.019 * [backup-simplify]: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 73.020 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) 73.020 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1))) in k 73.020 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI)))) in k 73.020 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI))) in k 73.020 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 73.020 * [taylor]: Taking taylor expansion of 1/2 in k 73.020 * [backup-simplify]: Simplify 1/2 into 1/2 73.020 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 73.020 * [taylor]: Taking taylor expansion of (/ 1 k) in k 73.020 * [taylor]: Taking taylor expansion of k in k 73.020 * [backup-simplify]: Simplify 0 into 0 73.020 * [backup-simplify]: Simplify 1 into 1 73.020 * [backup-simplify]: Simplify (/ 1 1) into 1 73.020 * [taylor]: Taking taylor expansion of 1 in k 73.020 * [backup-simplify]: Simplify 1 into 1 73.020 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 73.020 * [taylor]: Taking taylor expansion of (* 2 PI) in k 73.020 * [taylor]: Taking taylor expansion of 2 in k 73.020 * [backup-simplify]: Simplify 2 into 2 73.020 * [taylor]: Taking taylor expansion of PI in k 73.020 * [backup-simplify]: Simplify PI into PI 73.021 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 73.022 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 73.022 * [backup-simplify]: Simplify (+ 1 0) into 1 73.023 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 73.025 * [backup-simplify]: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 73.026 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 73.026 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 73.026 * [taylor]: Taking taylor expansion of (/ -1 k) in k 73.026 * [taylor]: Taking taylor expansion of -1 in k 73.026 * [backup-simplify]: Simplify -1 into -1 73.026 * [taylor]: Taking taylor expansion of k in k 73.026 * [backup-simplify]: Simplify 0 into 0 73.026 * [backup-simplify]: Simplify 1 into 1 73.026 * [backup-simplify]: Simplify (/ -1 1) into -1 73.027 * [backup-simplify]: Simplify (sqrt 0) into 0 73.028 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 73.029 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) 73.030 * [backup-simplify]: Simplify (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) +nan.0) into (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))))) 73.030 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1)))) (sqrt (/ -1 k))) in n 73.030 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1)))) in n 73.031 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in n 73.031 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in n 73.031 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in n 73.031 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 73.031 * [taylor]: Taking taylor expansion of 1/2 in n 73.031 * [backup-simplify]: Simplify 1/2 into 1/2 73.031 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 73.031 * [taylor]: Taking taylor expansion of (/ 1 k) in n 73.031 * [taylor]: Taking taylor expansion of k in n 73.031 * [backup-simplify]: Simplify k into k 73.031 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 73.031 * [taylor]: Taking taylor expansion of 1 in n 73.031 * [backup-simplify]: Simplify 1 into 1 73.031 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 73.031 * [taylor]: Taking taylor expansion of (/ -1 n) in n 73.031 * [taylor]: Taking taylor expansion of -1 in n 73.031 * [backup-simplify]: Simplify -1 into -1 73.031 * [taylor]: Taking taylor expansion of n in n 73.031 * [backup-simplify]: Simplify 0 into 0 73.031 * [backup-simplify]: Simplify 1 into 1 73.032 * [backup-simplify]: Simplify (/ -1 1) into -1 73.032 * [backup-simplify]: Simplify (log -1) into (log -1) 73.032 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 73.032 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 73.033 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 73.034 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log -1) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) 73.034 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 73.034 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1))) in n 73.034 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI)))) in n 73.034 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI))) in n 73.034 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 73.034 * [taylor]: Taking taylor expansion of 1/2 in n 73.034 * [backup-simplify]: Simplify 1/2 into 1/2 73.034 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 73.034 * [taylor]: Taking taylor expansion of (/ 1 k) in n 73.035 * [taylor]: Taking taylor expansion of k in n 73.035 * [backup-simplify]: Simplify k into k 73.035 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 73.035 * [taylor]: Taking taylor expansion of 1 in n 73.035 * [backup-simplify]: Simplify 1 into 1 73.035 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 73.035 * [taylor]: Taking taylor expansion of (* 2 PI) in n 73.035 * [taylor]: Taking taylor expansion of 2 in n 73.035 * [backup-simplify]: Simplify 2 into 2 73.035 * [taylor]: Taking taylor expansion of PI in n 73.035 * [backup-simplify]: Simplify PI into PI 73.035 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 73.036 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 73.036 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 73.037 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 73.038 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI))) into (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))) 73.039 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 73.039 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 73.039 * [taylor]: Taking taylor expansion of (/ -1 k) in n 73.039 * [taylor]: Taking taylor expansion of -1 in n 73.039 * [backup-simplify]: Simplify -1 into -1 73.039 * [taylor]: Taking taylor expansion of k in n 73.039 * [backup-simplify]: Simplify k into k 73.039 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 73.039 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 73.039 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 73.039 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 73.041 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) 73.050 * [backup-simplify]: Simplify (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) (sqrt (/ -1 k))) into (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) (sqrt (/ -1 k))) 73.050 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1)))) (sqrt (/ -1 k))) in n 73.050 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1)))) in n 73.050 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in n 73.050 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in n 73.050 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in n 73.050 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 73.050 * [taylor]: Taking taylor expansion of 1/2 in n 73.050 * [backup-simplify]: Simplify 1/2 into 1/2 73.050 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 73.050 * [taylor]: Taking taylor expansion of (/ 1 k) in n 73.050 * [taylor]: Taking taylor expansion of k in n 73.050 * [backup-simplify]: Simplify k into k 73.050 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 73.050 * [taylor]: Taking taylor expansion of 1 in n 73.050 * [backup-simplify]: Simplify 1 into 1 73.050 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 73.050 * [taylor]: Taking taylor expansion of (/ -1 n) in n 73.050 * [taylor]: Taking taylor expansion of -1 in n 73.050 * [backup-simplify]: Simplify -1 into -1 73.050 * [taylor]: Taking taylor expansion of n in n 73.050 * [backup-simplify]: Simplify 0 into 0 73.050 * [backup-simplify]: Simplify 1 into 1 73.051 * [backup-simplify]: Simplify (/ -1 1) into -1 73.051 * [backup-simplify]: Simplify (log -1) into (log -1) 73.051 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 73.051 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 73.052 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 73.053 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log -1) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) 73.053 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 73.053 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1))) in n 73.053 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI)))) in n 73.053 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI))) in n 73.053 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 73.053 * [taylor]: Taking taylor expansion of 1/2 in n 73.053 * [backup-simplify]: Simplify 1/2 into 1/2 73.053 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 73.053 * [taylor]: Taking taylor expansion of (/ 1 k) in n 73.053 * [taylor]: Taking taylor expansion of k in n 73.054 * [backup-simplify]: Simplify k into k 73.054 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 73.054 * [taylor]: Taking taylor expansion of 1 in n 73.054 * [backup-simplify]: Simplify 1 into 1 73.054 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 73.054 * [taylor]: Taking taylor expansion of (* 2 PI) in n 73.054 * [taylor]: Taking taylor expansion of 2 in n 73.054 * [backup-simplify]: Simplify 2 into 2 73.054 * [taylor]: Taking taylor expansion of PI in n 73.054 * [backup-simplify]: Simplify PI into PI 73.054 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 73.055 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 73.055 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 73.055 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 73.057 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI))) into (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))) 73.058 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 73.058 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 73.058 * [taylor]: Taking taylor expansion of (/ -1 k) in n 73.058 * [taylor]: Taking taylor expansion of -1 in n 73.058 * [backup-simplify]: Simplify -1 into -1 73.058 * [taylor]: Taking taylor expansion of k in n 73.058 * [backup-simplify]: Simplify k into k 73.058 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 73.058 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 73.058 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 73.058 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 73.060 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) 73.062 * [backup-simplify]: Simplify (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) (sqrt (/ -1 k))) into (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) (sqrt (/ -1 k))) 73.062 * [taylor]: Taking taylor expansion of (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) (sqrt (/ -1 k))) in k 73.062 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) in k 73.062 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) in k 73.062 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))) in k 73.062 * [taylor]: Taking taylor expansion of 1/2 in k 73.062 * [backup-simplify]: Simplify 1/2 into 1/2 73.062 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (log (* 2 PI))) in k 73.062 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 73.062 * [taylor]: Taking taylor expansion of (/ 1 k) in k 73.062 * [taylor]: Taking taylor expansion of k in k 73.062 * [backup-simplify]: Simplify 0 into 0 73.062 * [backup-simplify]: Simplify 1 into 1 73.062 * [backup-simplify]: Simplify (/ 1 1) into 1 73.062 * [taylor]: Taking taylor expansion of 1 in k 73.062 * [backup-simplify]: Simplify 1 into 1 73.062 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 73.062 * [taylor]: Taking taylor expansion of (* 2 PI) in k 73.062 * [taylor]: Taking taylor expansion of 2 in k 73.063 * [backup-simplify]: Simplify 2 into 2 73.063 * [taylor]: Taking taylor expansion of PI in k 73.063 * [backup-simplify]: Simplify PI into PI 73.063 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 73.064 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 73.064 * [backup-simplify]: Simplify (+ 1 0) into 1 73.066 * [backup-simplify]: Simplify (* 1 (log (* 2 PI))) into (log (* 2 PI)) 73.068 * [backup-simplify]: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 73.069 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 73.069 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) in k 73.069 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) in k 73.069 * [taylor]: Taking taylor expansion of 1/2 in k 73.069 * [backup-simplify]: Simplify 1/2 into 1/2 73.069 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log -1) (log n))) in k 73.069 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 73.069 * [taylor]: Taking taylor expansion of (/ 1 k) in k 73.069 * [taylor]: Taking taylor expansion of k in k 73.069 * [backup-simplify]: Simplify 0 into 0 73.069 * [backup-simplify]: Simplify 1 into 1 73.070 * [backup-simplify]: Simplify (/ 1 1) into 1 73.070 * [taylor]: Taking taylor expansion of 1 in k 73.070 * [backup-simplify]: Simplify 1 into 1 73.070 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 73.070 * [taylor]: Taking taylor expansion of (log -1) in k 73.070 * [taylor]: Taking taylor expansion of -1 in k 73.070 * [backup-simplify]: Simplify -1 into -1 73.070 * [backup-simplify]: Simplify (log -1) into (log -1) 73.070 * [taylor]: Taking taylor expansion of (log n) in k 73.070 * [taylor]: Taking taylor expansion of n in k 73.070 * [backup-simplify]: Simplify n into n 73.070 * [backup-simplify]: Simplify (log n) into (log n) 73.071 * [backup-simplify]: Simplify (+ 1 0) into 1 73.071 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 73.071 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 73.072 * [backup-simplify]: Simplify (* 1 (- (log -1) (log n))) into (- (log -1) (log n)) 73.072 * [backup-simplify]: Simplify (* 1/2 (- (log -1) (log n))) into (* 1/2 (- (log -1) (log n))) 73.072 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 73.073 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 73.073 * [taylor]: Taking taylor expansion of (/ -1 k) in k 73.073 * [taylor]: Taking taylor expansion of -1 in k 73.073 * [backup-simplify]: Simplify -1 into -1 73.073 * [taylor]: Taking taylor expansion of k in k 73.073 * [backup-simplify]: Simplify 0 into 0 73.073 * [backup-simplify]: Simplify 1 into 1 73.073 * [backup-simplify]: Simplify (/ -1 1) into -1 73.074 * [backup-simplify]: Simplify (sqrt 0) into 0 73.075 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 73.077 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) 73.078 * [backup-simplify]: Simplify (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) +nan.0) into (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) 73.080 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) into (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) 73.081 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 73.082 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 73.082 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 73.082 * [backup-simplify]: Simplify (+ 0 0) into 0 73.083 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 73.083 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (log (* 2 PI)))) into 0 73.084 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 73.085 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 73.086 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 73.086 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 73.086 * [backup-simplify]: Simplify (+ 0 0) into 0 73.086 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 73.087 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 73.087 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log -1) (log n)))) into 0 73.088 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 73.089 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))))) into 0 73.090 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0 73.090 * [taylor]: Taking taylor expansion of 0 in k 73.090 * [backup-simplify]: Simplify 0 into 0 73.090 * [backup-simplify]: Simplify 0 into 0 73.091 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) into 0 73.092 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 73.093 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 73.095 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) 73.096 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) into (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) 73.096 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 73.098 * [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 73.098 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 73.098 * [backup-simplify]: Simplify (+ 0 0) into 0 73.099 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 73.100 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (log (* 2 PI))))) into 0 73.101 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 73.102 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 73.103 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 73.103 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 73.103 * [backup-simplify]: Simplify (+ 0 0) into 0 73.104 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 73.104 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 73.105 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 73.106 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 73.107 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))))))) into 0 73.107 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 73.108 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 73.109 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0 73.109 * [taylor]: Taking taylor expansion of 0 in k 73.109 * [backup-simplify]: Simplify 0 into 0 73.109 * [backup-simplify]: Simplify 0 into 0 73.109 * [backup-simplify]: Simplify 0 into 0 73.111 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) into 0 73.112 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 73.116 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 73.120 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) 73.122 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) into (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) 73.128 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log -1) (log (/ 1 (- n)))))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log -1) (log (/ 1 (- n)))))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log -1) (log (/ 1 (- n))))))))))) into (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (pow k 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))))) (- (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) k))))))) 73.128 * * * [progress]: simplifying candidates 73.128 * * * * [progress]: [ 1 / 463 ] simplifiying candidate # 73.128 * [simplify]: Simplifying (* (+ (log 2) (log PI)) (/ (- 1 k) 2)) 73.129 * * [simplify]: iters left: 6 (10 enodes) 73.132 * * [simplify]: iters left: 5 (42 enodes) 73.140 * * [simplify]: iters left: 4 (71 enodes) 73.157 * * [simplify]: iters left: 3 (121 enodes) 73.201 * * [simplify]: iters left: 2 (242 enodes) 73.285 * * [simplify]: iters left: 1 (470 enodes) 73.468 * * [simplify]: Extracting #0: cost 1 inf + 0 73.468 * * [simplify]: Extracting #1: cost 30 inf + 0 73.468 * * [simplify]: Extracting #2: cost 100 inf + 3 73.469 * * [simplify]: Extracting #3: cost 120 inf + 963 73.470 * * [simplify]: Extracting #4: cost 77 inf + 6855 73.474 * * [simplify]: Extracting #5: cost 12 inf + 21866 73.485 * * [simplify]: Extracting #6: cost 0 inf + 24423 73.496 * [simplify]: Simplified to (/ (- (+ (log 2) (log PI)) (* k (+ (log 2) (log PI)))) 2) 73.496 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (exp (/ (- (+ (log 2) (log PI)) (* k (+ (log 2) (log PI)))) 2))))) 73.496 * * * * [progress]: [ 2 / 463 ] simplifiying candidate # 73.497 * [simplify]: Simplifying (* (log (* 2 PI)) (/ (- 1 k) 2)) 73.497 * * [simplify]: iters left: 6 (9 enodes) 73.500 * * [simplify]: iters left: 5 (42 enodes) 73.508 * * [simplify]: iters left: 4 (74 enodes) 73.524 * * [simplify]: iters left: 3 (126 enodes) 73.570 * * [simplify]: iters left: 2 (247 enodes) 73.666 * * [simplify]: iters left: 1 (476 enodes) 73.867 * * [simplify]: Extracting #0: cost 1 inf + 0 73.867 * * [simplify]: Extracting #1: cost 30 inf + 0 73.868 * * [simplify]: Extracting #2: cost 101 inf + 3 73.869 * * [simplify]: Extracting #3: cost 128 inf + 242 73.871 * * [simplify]: Extracting #4: cost 87 inf + 5433 73.879 * * [simplify]: Extracting #5: cost 20 inf + 18250 73.889 * * [simplify]: Extracting #6: cost 1 inf + 22360 73.899 * * [simplify]: Extracting #7: cost 0 inf + 22617 73.910 * [simplify]: Simplified to (/ (- (log (* 2 PI)) (* (log (* 2 PI)) k)) 2) 73.910 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (exp (/ (- (log (* 2 PI)) (* (log (* 2 PI)) k)) 2))))) 73.910 * * * * [progress]: [ 3 / 463 ] simplifiying candidate # 73.911 * * * * [progress]: [ 4 / 463 ] simplifiying candidate # 73.911 * [simplify]: Simplifying (* 2 PI) 73.911 * * [simplify]: iters left: 2 (3 enodes) 73.913 * * [simplify]: iters left: 1 (10 enodes) 73.917 * * [simplify]: Extracting #0: cost 1 inf + 0 73.917 * * [simplify]: Extracting #1: cost 4 inf + 0 73.917 * * [simplify]: Extracting #2: cost 2 inf + 2 73.917 * * [simplify]: Extracting #3: cost 0 inf + 86 73.917 * [simplify]: Simplified to (* 2 PI) 73.917 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (* 1 (/ (- 1 k) 2)))))) 73.921 * * * * [progress]: [ 5 / 463 ] simplifiying candidate # 73.921 * [simplify]: Simplifying (* 2 PI) 73.922 * * [simplify]: iters left: 2 (3 enodes) 73.924 * * [simplify]: iters left: 1 (10 enodes) 73.927 * * [simplify]: Extracting #0: cost 1 inf + 0 73.927 * * [simplify]: Extracting #1: cost 4 inf + 0 73.927 * * [simplify]: Extracting #2: cost 2 inf + 2 73.927 * * [simplify]: Extracting #3: cost 0 inf + 86 73.927 * [simplify]: Simplified to (* 2 PI) 73.927 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (* 1 (/ (- 1 k) 2)))))) 73.927 * * * * [progress]: [ 6 / 463 ] simplifiying candidate # 73.928 * [simplify]: Simplifying (pow (* 2 PI) (/ k 2)) 73.928 * * [simplify]: iters left: 3 (6 enodes) 73.931 * * [simplify]: iters left: 2 (22 enodes) 73.938 * * [simplify]: iters left: 1 (34 enodes) 73.950 * * [simplify]: Extracting #0: cost 1 inf + 0 73.950 * * [simplify]: Extracting #1: cost 10 inf + 0 73.950 * * [simplify]: Extracting #2: cost 26 inf + 0 73.950 * * [simplify]: Extracting #3: cost 23 inf + 128 73.951 * * [simplify]: Extracting #4: cost 10 inf + 1713 73.952 * * [simplify]: Extracting #5: cost 0 inf + 4919 73.953 * [simplify]: Simplified to (pow (* 2 PI) (/ k 2)) 73.953 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))))) 73.953 * * * * [progress]: [ 7 / 463 ] simplifiying candidate # 73.953 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2)) 73.953 * * [simplify]: iters left: 5 (6 enodes) 73.958 * * [simplify]: iters left: 4 (26 enodes) 73.966 * * [simplify]: iters left: 3 (35 enodes) 73.977 * * [simplify]: Extracting #0: cost 1 inf + 0 73.977 * * [simplify]: Extracting #1: cost 3 inf + 0 73.977 * * [simplify]: Extracting #2: cost 8 inf + 0 73.977 * * [simplify]: Extracting #3: cost 11 inf + 2 73.977 * * [simplify]: Extracting #4: cost 8 inf + 87 73.977 * * [simplify]: Extracting #5: cost 2 inf + 500 73.977 * * [simplify]: Extracting #6: cost 0 inf + 746 73.978 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2)) 73.978 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (pow (* 2 PI) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2)))))) 73.978 * * * * [progress]: [ 8 / 463 ] simplifiying candidate # 73.978 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2)) 73.978 * * [simplify]: iters left: 5 (6 enodes) 73.983 * * [simplify]: iters left: 4 (26 enodes) 73.991 * * [simplify]: iters left: 3 (35 enodes) 74.002 * * [simplify]: Extracting #0: cost 1 inf + 0 74.002 * * [simplify]: Extracting #1: cost 3 inf + 0 74.002 * * [simplify]: Extracting #2: cost 8 inf + 0 74.002 * * [simplify]: Extracting #3: cost 11 inf + 2 74.002 * * [simplify]: Extracting #4: cost 8 inf + 87 74.002 * * [simplify]: Extracting #5: cost 2 inf + 460 74.003 * * [simplify]: Extracting #6: cost 0 inf + 666 74.003 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2)) 74.003 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (pow (* 2 PI) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2)))))) 74.003 * * * * [progress]: [ 9 / 463 ] simplifiying candidate # 74.004 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2)) 74.004 * * [simplify]: iters left: 5 (7 enodes) 74.008 * * [simplify]: iters left: 4 (25 enodes) 74.017 * * [simplify]: iters left: 3 (30 enodes) 74.026 * * [simplify]: Extracting #0: cost 1 inf + 0 74.026 * * [simplify]: Extracting #1: cost 4 inf + 0 74.026 * * [simplify]: Extracting #2: cost 8 inf + 0 74.026 * * [simplify]: Extracting #3: cost 10 inf + 82 74.026 * * [simplify]: Extracting #4: cost 7 inf + 206 74.027 * * [simplify]: Extracting #5: cost 2 inf + 575 74.027 * * [simplify]: Extracting #6: cost 1 inf + 818 74.027 * * [simplify]: Extracting #7: cost 0 inf + 1061 74.028 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2)) 74.028 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (pow (* 2 PI) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2)))))) 74.028 * * * * [progress]: [ 10 / 463 ] simplifiying candidate # 74.028 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2)) 74.028 * * [simplify]: iters left: 5 (7 enodes) 74.032 * * [simplify]: iters left: 4 (25 enodes) 74.040 * * [simplify]: iters left: 3 (30 enodes) 74.050 * * [simplify]: Extracting #0: cost 1 inf + 0 74.050 * * [simplify]: Extracting #1: cost 4 inf + 0 74.050 * * [simplify]: Extracting #2: cost 8 inf + 0 74.050 * * [simplify]: Extracting #3: cost 10 inf + 42 74.050 * * [simplify]: Extracting #4: cost 7 inf + 126 74.051 * * [simplify]: Extracting #5: cost 2 inf + 495 74.051 * * [simplify]: Extracting #6: cost 1 inf + 698 74.051 * * [simplify]: Extracting #7: cost 0 inf + 901 74.051 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2)) 74.052 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (pow (* 2 PI) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2)))))) 74.052 * * * * [progress]: [ 11 / 463 ] simplifiying candidate # 74.052 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2) 74.052 * * [simplify]: iters left: 5 (6 enodes) 74.056 * * [simplify]: iters left: 4 (22 enodes) 74.061 * * [simplify]: iters left: 3 (27 enodes) 74.065 * * [simplify]: Extracting #0: cost 1 inf + 0 74.065 * * [simplify]: Extracting #1: cost 4 inf + 0 74.065 * * [simplify]: Extracting #2: cost 5 inf + 1 74.065 * * [simplify]: Extracting #3: cost 9 inf + 1 74.065 * * [simplify]: Extracting #4: cost 8 inf + 3 74.065 * * [simplify]: Extracting #5: cost 4 inf + 169 74.065 * * [simplify]: Extracting #6: cost 1 inf + 576 74.066 * * [simplify]: Extracting #7: cost 0 inf + 739 74.066 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 74.066 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (pow (* 2 PI) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2))))) 74.066 * * * * [progress]: [ 12 / 463 ] simplifiying candidate # 74.066 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2)) 74.066 * * [simplify]: iters left: 5 (7 enodes) 74.068 * * [simplify]: iters left: 4 (25 enodes) 74.075 * * [simplify]: iters left: 3 (30 enodes) 74.081 * * [simplify]: Extracting #0: cost 1 inf + 0 74.081 * * [simplify]: Extracting #1: cost 4 inf + 0 74.081 * * [simplify]: Extracting #2: cost 8 inf + 0 74.081 * * [simplify]: Extracting #3: cost 10 inf + 82 74.081 * * [simplify]: Extracting #4: cost 7 inf + 206 74.081 * * [simplify]: Extracting #5: cost 2 inf + 495 74.081 * * [simplify]: Extracting #6: cost 1 inf + 698 74.082 * * [simplify]: Extracting #7: cost 0 inf + 901 74.082 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2)) 74.082 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (pow (* 2 PI) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2)))))) 74.082 * * * * [progress]: [ 13 / 463 ] simplifiying candidate # 74.082 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2)) 74.082 * * [simplify]: iters left: 5 (7 enodes) 74.084 * * [simplify]: iters left: 4 (25 enodes) 74.093 * * [simplify]: iters left: 3 (30 enodes) 74.102 * * [simplify]: Extracting #0: cost 1 inf + 0 74.102 * * [simplify]: Extracting #1: cost 4 inf + 0 74.102 * * [simplify]: Extracting #2: cost 8 inf + 0 74.102 * * [simplify]: Extracting #3: cost 10 inf + 42 74.103 * * [simplify]: Extracting #4: cost 7 inf + 126 74.103 * * [simplify]: Extracting #5: cost 2 inf + 415 74.103 * * [simplify]: Extracting #6: cost 1 inf + 578 74.103 * * [simplify]: Extracting #7: cost 0 inf + 741 74.104 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2)) 74.104 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (pow (* 2 PI) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2)))))) 74.104 * * * * [progress]: [ 14 / 463 ] simplifiying candidate # 74.104 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2) 74.104 * * [simplify]: iters left: 5 (6 enodes) 74.108 * * [simplify]: iters left: 4 (22 enodes) 74.116 * * [simplify]: iters left: 3 (27 enodes) 74.124 * * [simplify]: Extracting #0: cost 1 inf + 0 74.124 * * [simplify]: Extracting #1: cost 4 inf + 0 74.124 * * [simplify]: Extracting #2: cost 5 inf + 1 74.124 * * [simplify]: Extracting #3: cost 9 inf + 1 74.124 * * [simplify]: Extracting #4: cost 8 inf + 3 74.124 * * [simplify]: Extracting #5: cost 4 inf + 169 74.125 * * [simplify]: Extracting #6: cost 1 inf + 456 74.125 * * [simplify]: Extracting #7: cost 0 inf + 579 74.125 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 74.125 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (pow (* 2 PI) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2))))) 74.125 * * * * [progress]: [ 15 / 463 ] simplifiying candidate # 74.126 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 74.126 * * [simplify]: iters left: 4 (6 enodes) 74.130 * * [simplify]: iters left: 3 (25 enodes) 74.138 * * [simplify]: iters left: 2 (36 enodes) 74.149 * * [simplify]: iters left: 1 (40 enodes) 74.160 * * [simplify]: Extracting #0: cost 1 inf + 0 74.161 * * [simplify]: Extracting #1: cost 7 inf + 0 74.161 * * [simplify]: Extracting #2: cost 16 inf + 0 74.161 * * [simplify]: Extracting #3: cost 13 inf + 44 74.161 * * [simplify]: Extracting #4: cost 3 inf + 1103 74.162 * * [simplify]: Extracting #5: cost 0 inf + 1469 74.162 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 74.162 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (pow (* 2 PI) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2)))))) 74.162 * * * * [progress]: [ 16 / 463 ] simplifiying candidate # 74.162 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 74.163 * * [simplify]: iters left: 4 (6 enodes) 74.166 * * [simplify]: iters left: 3 (25 enodes) 74.175 * * [simplify]: iters left: 2 (36 enodes) 74.186 * * [simplify]: iters left: 1 (40 enodes) 74.192 * * [simplify]: Extracting #0: cost 1 inf + 0 74.192 * * [simplify]: Extracting #1: cost 7 inf + 0 74.192 * * [simplify]: Extracting #2: cost 16 inf + 0 74.192 * * [simplify]: Extracting #3: cost 13 inf + 44 74.192 * * [simplify]: Extracting #4: cost 3 inf + 823 74.192 * * [simplify]: Extracting #5: cost 0 inf + 1069 74.192 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 74.192 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (pow (* 2 PI) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2)))))) 74.193 * * * * [progress]: [ 17 / 463 ] simplifiying candidate # 74.193 * [simplify]: Simplifying (/ (- 1 k) 2) 74.193 * * [simplify]: iters left: 4 (5 enodes) 74.195 * * [simplify]: iters left: 3 (23 enodes) 74.199 * * [simplify]: iters left: 2 (32 enodes) 74.207 * * [simplify]: Extracting #0: cost 1 inf + 0 74.207 * * [simplify]: Extracting #1: cost 6 inf + 0 74.207 * * [simplify]: Extracting #2: cost 9 inf + 2 74.207 * * [simplify]: Extracting #3: cost 6 inf + 87 74.207 * * [simplify]: Extracting #4: cost 0 inf + 420 74.207 * [simplify]: Simplified to (/ (- 1 k) 2) 74.207 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (pow (* 2 PI) (/ 1 1)) (/ (- 1 k) 2))))) 74.207 * * * * [progress]: [ 18 / 463 ] simplifiying candidate # 74.207 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 74.208 * * [simplify]: iters left: 5 (8 enodes) 74.210 * * [simplify]: iters left: 4 (31 enodes) 74.215 * * [simplify]: iters left: 3 (45 enodes) 74.223 * * [simplify]: iters left: 2 (51 enodes) 74.236 * * [simplify]: iters left: 1 (52 enodes) 74.250 * * [simplify]: Extracting #0: cost 1 inf + 0 74.250 * * [simplify]: Extracting #1: cost 8 inf + 0 74.250 * * [simplify]: Extracting #2: cost 18 inf + 0 74.250 * * [simplify]: Extracting #3: cost 19 inf + 2 74.250 * * [simplify]: Extracting #4: cost 9 inf + 977 74.251 * * [simplify]: Extracting #5: cost 2 inf + 1790 74.252 * * [simplify]: Extracting #6: cost 0 inf + 2195 74.252 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 74.252 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (pow (* 2 PI) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2)))))) 74.253 * * * * [progress]: [ 19 / 463 ] simplifiying candidate # 74.253 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 74.253 * * [simplify]: iters left: 5 (8 enodes) 74.258 * * [simplify]: iters left: 4 (31 enodes) 74.268 * * [simplify]: iters left: 3 (45 enodes) 74.280 * * [simplify]: iters left: 2 (51 enodes) 74.294 * * [simplify]: iters left: 1 (52 enodes) 74.309 * * [simplify]: Extracting #0: cost 1 inf + 0 74.309 * * [simplify]: Extracting #1: cost 8 inf + 0 74.309 * * [simplify]: Extracting #2: cost 18 inf + 0 74.309 * * [simplify]: Extracting #3: cost 19 inf + 2 74.309 * * [simplify]: Extracting #4: cost 9 inf + 697 74.310 * * [simplify]: Extracting #5: cost 2 inf + 1390 74.310 * * [simplify]: Extracting #6: cost 0 inf + 1715 74.311 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 74.311 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (pow (* 2 PI) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2)))))) 74.311 * * * * [progress]: [ 20 / 463 ] simplifiying candidate # 74.312 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 74.312 * * [simplify]: iters left: 5 (7 enodes) 74.317 * * [simplify]: iters left: 4 (29 enodes) 74.327 * * [simplify]: iters left: 3 (43 enodes) 74.339 * * [simplify]: iters left: 2 (47 enodes) 74.355 * * [simplify]: Extracting #0: cost 1 inf + 0 74.355 * * [simplify]: Extracting #1: cost 7 inf + 0 74.355 * * [simplify]: Extracting #2: cost 11 inf + 2 74.355 * * [simplify]: Extracting #3: cost 13 inf + 3 74.355 * * [simplify]: Extracting #4: cost 11 inf + 45 74.356 * * [simplify]: Extracting #5: cost 0 inf + 1066 74.356 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 74.356 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (pow (* 2 PI) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) 74.356 * * * * [progress]: [ 21 / 463 ] simplifiying candidate # 74.357 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 74.357 * * [simplify]: iters left: 5 (7 enodes) 74.361 * * [simplify]: iters left: 4 (28 enodes) 74.371 * * [simplify]: iters left: 3 (39 enodes) 74.384 * * [simplify]: iters left: 2 (43 enodes) 74.397 * * [simplify]: Extracting #0: cost 1 inf + 0 74.397 * * [simplify]: Extracting #1: cost 7 inf + 0 74.397 * * [simplify]: Extracting #2: cost 16 inf + 0 74.397 * * [simplify]: Extracting #3: cost 15 inf + 164 74.398 * * [simplify]: Extracting #4: cost 13 inf + 287 74.398 * * [simplify]: Extracting #5: cost 5 inf + 1180 74.398 * * [simplify]: Extracting #6: cost 0 inf + 1951 74.398 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 74.398 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2)))))) 74.399 * * * * [progress]: [ 22 / 463 ] simplifiying candidate # 74.399 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 74.399 * * [simplify]: iters left: 5 (7 enodes) 74.401 * * [simplify]: iters left: 4 (28 enodes) 74.406 * * [simplify]: iters left: 3 (39 enodes) 74.413 * * [simplify]: iters left: 2 (43 enodes) 74.420 * * [simplify]: Extracting #0: cost 1 inf + 0 74.420 * * [simplify]: Extracting #1: cost 7 inf + 0 74.420 * * [simplify]: Extracting #2: cost 16 inf + 0 74.420 * * [simplify]: Extracting #3: cost 15 inf + 84 74.420 * * [simplify]: Extracting #4: cost 13 inf + 167 74.420 * * [simplify]: Extracting #5: cost 5 inf + 900 74.421 * * [simplify]: Extracting #6: cost 0 inf + 1551 74.421 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 74.421 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2)))))) 74.421 * * * * [progress]: [ 23 / 463 ] simplifiying candidate # 74.421 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 74.421 * * [simplify]: iters left: 5 (6 enodes) 74.424 * * [simplify]: iters left: 4 (26 enodes) 74.428 * * [simplify]: iters left: 3 (35 enodes) 74.434 * * [simplify]: Extracting #0: cost 1 inf + 0 74.434 * * [simplify]: Extracting #1: cost 6 inf + 0 74.434 * * [simplify]: Extracting #2: cost 9 inf + 2 74.434 * * [simplify]: Extracting #3: cost 11 inf + 3 74.434 * * [simplify]: Extracting #4: cost 10 inf + 4 74.434 * * [simplify]: Extracting #5: cost 3 inf + 535 74.435 * * [simplify]: Extracting #6: cost 0 inf + 822 74.435 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 74.435 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) 74.435 * * * * [progress]: [ 24 / 463 ] simplifiying candidate # 74.435 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 74.435 * * [simplify]: iters left: 4 (6 enodes) 74.437 * * [simplify]: iters left: 3 (25 enodes) 74.442 * * [simplify]: iters left: 2 (36 enodes) 74.448 * * [simplify]: iters left: 1 (40 enodes) 74.454 * * [simplify]: Extracting #0: cost 1 inf + 0 74.454 * * [simplify]: Extracting #1: cost 7 inf + 0 74.454 * * [simplify]: Extracting #2: cost 16 inf + 0 74.454 * * [simplify]: Extracting #3: cost 13 inf + 44 74.455 * * [simplify]: Extracting #4: cost 3 inf + 1103 74.455 * * [simplify]: Extracting #5: cost 0 inf + 1469 74.455 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 74.455 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (pow (* 2 PI) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2)))))) 74.455 * * * * [progress]: [ 25 / 463 ] simplifiying candidate # 74.455 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 74.455 * * [simplify]: iters left: 4 (6 enodes) 74.458 * * [simplify]: iters left: 3 (25 enodes) 74.465 * * [simplify]: iters left: 2 (36 enodes) 74.471 * * [simplify]: iters left: 1 (40 enodes) 74.478 * * [simplify]: Extracting #0: cost 1 inf + 0 74.478 * * [simplify]: Extracting #1: cost 7 inf + 0 74.478 * * [simplify]: Extracting #2: cost 16 inf + 0 74.478 * * [simplify]: Extracting #3: cost 13 inf + 44 74.478 * * [simplify]: Extracting #4: cost 3 inf + 823 74.478 * * [simplify]: Extracting #5: cost 0 inf + 1069 74.478 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 74.479 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (pow (* 2 PI) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2)))))) 74.479 * * * * [progress]: [ 26 / 463 ] simplifiying candidate # 74.479 * [simplify]: Simplifying (/ (- 1 k) 2) 74.479 * * [simplify]: iters left: 4 (5 enodes) 74.481 * * [simplify]: iters left: 3 (23 enodes) 74.489 * * [simplify]: iters left: 2 (32 enodes) 74.499 * * [simplify]: Extracting #0: cost 1 inf + 0 74.499 * * [simplify]: Extracting #1: cost 6 inf + 0 74.499 * * [simplify]: Extracting #2: cost 9 inf + 2 74.499 * * [simplify]: Extracting #3: cost 6 inf + 87 74.499 * * [simplify]: Extracting #4: cost 0 inf + 420 74.500 * [simplify]: Simplified to (/ (- 1 k) 2) 74.500 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (pow (* 2 PI) (/ 1 1)) (/ (- 1 k) 2))))) 74.500 * * * * [progress]: [ 27 / 463 ] simplifiying candidate # 74.500 * [simplify]: Simplifying (/ (- 1 k) 2) 74.500 * * [simplify]: iters left: 4 (5 enodes) 74.504 * * [simplify]: iters left: 3 (23 enodes) 74.512 * * [simplify]: iters left: 2 (32 enodes) 74.522 * * [simplify]: Extracting #0: cost 1 inf + 0 74.522 * * [simplify]: Extracting #1: cost 6 inf + 0 74.522 * * [simplify]: Extracting #2: cost 9 inf + 2 74.523 * * [simplify]: Extracting #3: cost 6 inf + 87 74.523 * * [simplify]: Extracting #4: cost 0 inf + 420 74.523 * [simplify]: Simplified to (/ (- 1 k) 2) 74.523 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (pow (* 2 PI) 1) (/ (- 1 k) 2))))) 74.523 * * * * [progress]: [ 28 / 463 ] simplifiying candidate # 74.524 * [simplify]: Simplifying (/ 1 2) 74.524 * * [simplify]: iters left: 2 (3 enodes) 74.527 * * [simplify]: iters left: 1 (12 enodes) 74.532 * * [simplify]: Extracting #0: cost 1 inf + 0 74.532 * * [simplify]: Extracting #1: cost 0 inf + 1 74.532 * [simplify]: Simplified to 1/2 74.532 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (pow (* 2 PI) (- 1 k)) 1/2)))) 74.532 * * * * [progress]: [ 29 / 463 ] simplifiying candidate # 74.532 * [simplify]: Simplifying (pow 2 (/ (- 1 k) 2)) 74.532 * * [simplify]: iters left: 5 (6 enodes) 74.536 * * [simplify]: iters left: 4 (29 enodes) 74.547 * * [simplify]: iters left: 3 (54 enodes) 74.565 * * [simplify]: iters left: 2 (85 enodes) 74.595 * * [simplify]: iters left: 1 (153 enodes) 74.637 * * [simplify]: Extracting #0: cost 1 inf + 0 74.638 * * [simplify]: Extracting #1: cost 13 inf + 0 74.638 * * [simplify]: Extracting #2: cost 51 inf + 2 74.638 * * [simplify]: Extracting #3: cost 84 inf + 5 74.639 * * [simplify]: Extracting #4: cost 54 inf + 3194 74.640 * * [simplify]: Extracting #5: cost 29 inf + 7327 74.642 * * [simplify]: Extracting #6: cost 12 inf + 15002 74.645 * * [simplify]: Extracting #7: cost 0 inf + 23100 74.648 * * [simplify]: Extracting #8: cost 0 inf + 22969 74.651 * [simplify]: Simplified to (pow 2 (/ (- 1 k) 2)) 74.651 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 74.651 * * * * [progress]: [ 30 / 463 ] simplifiying candidate # 74.651 * * * * [progress]: [ 31 / 463 ] simplifiying candidate # 74.651 * * * * [progress]: [ 32 / 463 ] simplifiying candidate # 74.651 * * * * [progress]: [ 33 / 463 ] simplifiying candidate # 74.651 * * * * [progress]: [ 34 / 463 ] simplifiying candidate # 74.651 * * * * [progress]: [ 35 / 463 ] simplifiying candidate # 74.651 * * * * [progress]: [ 36 / 463 ] simplifiying candidate # 74.651 * * * * [progress]: [ 37 / 463 ] simplifiying candidate # 74.651 * * * * [progress]: [ 38 / 463 ] simplifiying candidate #real (real->posit16 (pow (* 2 PI) (/ (- 1 k) 2)))))))> 74.651 * * * * [progress]: [ 39 / 463 ] simplifiying candidate # 74.651 * [simplify]: Simplifying (* (log n) (/ (- 1 k) 2)) 74.651 * * [simplify]: iters left: 6 (8 enodes) 74.654 * * [simplify]: iters left: 5 (35 enodes) 74.662 * * [simplify]: iters left: 4 (56 enodes) 74.678 * * [simplify]: iters left: 3 (70 enodes) 74.690 * * [simplify]: iters left: 2 (125 enodes) 74.716 * * [simplify]: iters left: 1 (158 enodes) 74.763 * * [simplify]: Extracting #0: cost 1 inf + 0 74.763 * * [simplify]: Extracting #1: cost 16 inf + 0 74.764 * * [simplify]: Extracting #2: cost 41 inf + 3 74.764 * * [simplify]: Extracting #3: cost 33 inf + 990 74.766 * * [simplify]: Extracting #4: cost 6 inf + 4107 74.768 * * [simplify]: Extracting #5: cost 0 inf + 5034 74.771 * [simplify]: Simplified to (- (* 1/2 (log n)) (* k (* 1/2 (log n)))) 74.771 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (- (* 1/2 (log n)) (* k (* 1/2 (log n))))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 74.771 * * * * [progress]: [ 40 / 463 ] simplifiying candidate # 74.771 * * * * [progress]: [ 41 / 463 ] simplifiying candidate # 74.771 * * * * [progress]: [ 42 / 463 ] simplifiying candidate # 74.771 * [simplify]: Simplifying (pow n (/ k 2)) 74.772 * * [simplify]: iters left: 3 (5 enodes) 74.774 * * [simplify]: iters left: 2 (18 enodes) 74.781 * * [simplify]: iters left: 1 (30 enodes) 74.791 * * [simplify]: Extracting #0: cost 1 inf + 0 74.791 * * [simplify]: Extracting #1: cost 10 inf + 0 74.792 * * [simplify]: Extracting #2: cost 23 inf + 1 74.792 * * [simplify]: Extracting #3: cost 23 inf + 46 74.792 * * [simplify]: Extracting #4: cost 11 inf + 1346 74.793 * * [simplify]: Extracting #5: cost 1 inf + 3938 74.794 * * [simplify]: Extracting #6: cost 0 inf + 4111 74.795 * * [simplify]: Extracting #7: cost 0 inf + 4070 74.795 * [simplify]: Simplified to (pow n (/ k 2)) 74.795 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 74.796 * * * * [progress]: [ 43 / 463 ] simplifiying candidate # 74.796 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2)) 74.796 * * [simplify]: iters left: 5 (6 enodes) 74.800 * * [simplify]: iters left: 4 (26 enodes) 74.808 * * [simplify]: iters left: 3 (35 enodes) 74.822 * * [simplify]: Extracting #0: cost 1 inf + 0 74.822 * * [simplify]: Extracting #1: cost 3 inf + 0 74.822 * * [simplify]: Extracting #2: cost 8 inf + 0 74.822 * * [simplify]: Extracting #3: cost 11 inf + 2 74.822 * * [simplify]: Extracting #4: cost 8 inf + 87 74.822 * * [simplify]: Extracting #5: cost 2 inf + 500 74.822 * * [simplify]: Extracting #6: cost 0 inf + 746 74.823 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2)) 74.823 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 74.823 * * * * [progress]: [ 44 / 463 ] simplifiying candidate # 74.823 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2)) 74.823 * * [simplify]: iters left: 5 (6 enodes) 74.826 * * [simplify]: iters left: 4 (26 enodes) 74.831 * * [simplify]: iters left: 3 (35 enodes) 74.837 * * [simplify]: Extracting #0: cost 1 inf + 0 74.837 * * [simplify]: Extracting #1: cost 3 inf + 0 74.837 * * [simplify]: Extracting #2: cost 8 inf + 0 74.837 * * [simplify]: Extracting #3: cost 11 inf + 2 74.837 * * [simplify]: Extracting #4: cost 8 inf + 87 74.837 * * [simplify]: Extracting #5: cost 2 inf + 460 74.837 * * [simplify]: Extracting #6: cost 0 inf + 666 74.837 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2)) 74.837 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 74.837 * * * * [progress]: [ 45 / 463 ] simplifiying candidate # 74.838 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2)) 74.838 * * [simplify]: iters left: 5 (7 enodes) 74.840 * * [simplify]: iters left: 4 (25 enodes) 74.844 * * [simplify]: iters left: 3 (30 enodes) 74.849 * * [simplify]: Extracting #0: cost 1 inf + 0 74.849 * * [simplify]: Extracting #1: cost 4 inf + 0 74.849 * * [simplify]: Extracting #2: cost 8 inf + 0 74.849 * * [simplify]: Extracting #3: cost 10 inf + 82 74.849 * * [simplify]: Extracting #4: cost 7 inf + 206 74.849 * * [simplify]: Extracting #5: cost 2 inf + 575 74.849 * * [simplify]: Extracting #6: cost 1 inf + 818 74.850 * * [simplify]: Extracting #7: cost 0 inf + 1061 74.850 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2)) 74.850 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 74.850 * * * * [progress]: [ 46 / 463 ] simplifiying candidate # 74.850 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2)) 74.850 * * [simplify]: iters left: 5 (7 enodes) 74.852 * * [simplify]: iters left: 4 (25 enodes) 74.860 * * [simplify]: iters left: 3 (30 enodes) 74.869 * * [simplify]: Extracting #0: cost 1 inf + 0 74.869 * * [simplify]: Extracting #1: cost 4 inf + 0 74.869 * * [simplify]: Extracting #2: cost 8 inf + 0 74.869 * * [simplify]: Extracting #3: cost 10 inf + 42 74.869 * * [simplify]: Extracting #4: cost 7 inf + 126 74.869 * * [simplify]: Extracting #5: cost 2 inf + 495 74.869 * * [simplify]: Extracting #6: cost 1 inf + 698 74.869 * * [simplify]: Extracting #7: cost 0 inf + 901 74.870 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2)) 74.870 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 74.870 * * * * [progress]: [ 47 / 463 ] simplifiying candidate # 74.870 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2) 74.870 * * [simplify]: iters left: 5 (6 enodes) 74.872 * * [simplify]: iters left: 4 (22 enodes) 74.875 * * [simplify]: iters left: 3 (27 enodes) 74.880 * * [simplify]: Extracting #0: cost 1 inf + 0 74.880 * * [simplify]: Extracting #1: cost 4 inf + 0 74.880 * * [simplify]: Extracting #2: cost 5 inf + 1 74.880 * * [simplify]: Extracting #3: cost 9 inf + 1 74.880 * * [simplify]: Extracting #4: cost 8 inf + 3 74.880 * * [simplify]: Extracting #5: cost 4 inf + 169 74.880 * * [simplify]: Extracting #6: cost 1 inf + 576 74.880 * * [simplify]: Extracting #7: cost 0 inf + 739 74.880 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 74.880 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 74.880 * * * * [progress]: [ 48 / 463 ] simplifiying candidate # 74.881 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2)) 74.881 * * [simplify]: iters left: 5 (7 enodes) 74.883 * * [simplify]: iters left: 4 (25 enodes) 74.887 * * [simplify]: iters left: 3 (30 enodes) 74.892 * * [simplify]: Extracting #0: cost 1 inf + 0 74.892 * * [simplify]: Extracting #1: cost 4 inf + 0 74.892 * * [simplify]: Extracting #2: cost 8 inf + 0 74.892 * * [simplify]: Extracting #3: cost 10 inf + 82 74.892 * * [simplify]: Extracting #4: cost 7 inf + 206 74.893 * * [simplify]: Extracting #5: cost 2 inf + 495 74.893 * * [simplify]: Extracting #6: cost 1 inf + 698 74.893 * * [simplify]: Extracting #7: cost 0 inf + 901 74.893 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2)) 74.893 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 74.893 * * * * [progress]: [ 49 / 463 ] simplifiying candidate # 74.894 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2)) 74.894 * * [simplify]: iters left: 5 (7 enodes) 74.896 * * [simplify]: iters left: 4 (25 enodes) 74.900 * * [simplify]: iters left: 3 (30 enodes) 74.905 * * [simplify]: Extracting #0: cost 1 inf + 0 74.905 * * [simplify]: Extracting #1: cost 4 inf + 0 74.905 * * [simplify]: Extracting #2: cost 8 inf + 0 74.905 * * [simplify]: Extracting #3: cost 10 inf + 42 74.905 * * [simplify]: Extracting #4: cost 7 inf + 126 74.905 * * [simplify]: Extracting #5: cost 2 inf + 415 74.905 * * [simplify]: Extracting #6: cost 1 inf + 578 74.906 * * [simplify]: Extracting #7: cost 0 inf + 741 74.906 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2)) 74.906 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 74.906 * * * * [progress]: [ 50 / 463 ] simplifiying candidate # 74.906 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2) 74.906 * * [simplify]: iters left: 5 (6 enodes) 74.910 * * [simplify]: iters left: 4 (22 enodes) 74.914 * * [simplify]: iters left: 3 (27 enodes) 74.918 * * [simplify]: Extracting #0: cost 1 inf + 0 74.918 * * [simplify]: Extracting #1: cost 4 inf + 0 74.918 * * [simplify]: Extracting #2: cost 5 inf + 1 74.918 * * [simplify]: Extracting #3: cost 9 inf + 1 74.918 * * [simplify]: Extracting #4: cost 8 inf + 3 74.918 * * [simplify]: Extracting #5: cost 4 inf + 169 74.918 * * [simplify]: Extracting #6: cost 1 inf + 456 74.919 * * [simplify]: Extracting #7: cost 0 inf + 579 74.919 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 74.919 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 74.919 * * * * [progress]: [ 51 / 463 ] simplifiying candidate # 74.919 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 74.919 * * [simplify]: iters left: 4 (6 enodes) 74.921 * * [simplify]: iters left: 3 (25 enodes) 74.926 * * [simplify]: iters left: 2 (36 enodes) 74.932 * * [simplify]: iters left: 1 (40 enodes) 74.938 * * [simplify]: Extracting #0: cost 1 inf + 0 74.938 * * [simplify]: Extracting #1: cost 7 inf + 0 74.938 * * [simplify]: Extracting #2: cost 16 inf + 0 74.938 * * [simplify]: Extracting #3: cost 13 inf + 44 74.938 * * [simplify]: Extracting #4: cost 3 inf + 1103 74.938 * * [simplify]: Extracting #5: cost 0 inf + 1469 74.939 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 74.939 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 74.939 * * * * [progress]: [ 52 / 463 ] simplifiying candidate # 74.939 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 74.939 * * [simplify]: iters left: 4 (6 enodes) 74.941 * * [simplify]: iters left: 3 (25 enodes) 74.946 * * [simplify]: iters left: 2 (36 enodes) 74.951 * * [simplify]: iters left: 1 (40 enodes) 74.957 * * [simplify]: Extracting #0: cost 1 inf + 0 74.957 * * [simplify]: Extracting #1: cost 7 inf + 0 74.957 * * [simplify]: Extracting #2: cost 16 inf + 0 74.957 * * [simplify]: Extracting #3: cost 13 inf + 44 74.958 * * [simplify]: Extracting #4: cost 3 inf + 823 74.958 * * [simplify]: Extracting #5: cost 0 inf + 1069 74.958 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 74.958 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 74.958 * * * * [progress]: [ 53 / 463 ] simplifiying candidate # 74.958 * [simplify]: Simplifying (/ (- 1 k) 2) 74.958 * * [simplify]: iters left: 4 (5 enodes) 74.960 * * [simplify]: iters left: 3 (23 enodes) 74.964 * * [simplify]: iters left: 2 (32 enodes) 74.969 * * [simplify]: Extracting #0: cost 1 inf + 0 74.969 * * [simplify]: Extracting #1: cost 6 inf + 0 74.970 * * [simplify]: Extracting #2: cost 9 inf + 2 74.970 * * [simplify]: Extracting #3: cost 6 inf + 87 74.970 * * [simplify]: Extracting #4: cost 0 inf + 420 74.970 * [simplify]: Simplified to (/ (- 1 k) 2) 74.970 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n (/ 1 1)) (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 74.970 * * * * [progress]: [ 54 / 463 ] simplifiying candidate # 74.970 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 74.970 * * [simplify]: iters left: 5 (8 enodes) 74.973 * * [simplify]: iters left: 4 (31 enodes) 74.978 * * [simplify]: iters left: 3 (45 enodes) 74.992 * * [simplify]: iters left: 2 (51 enodes) 75.008 * * [simplify]: iters left: 1 (52 enodes) 75.017 * * [simplify]: Extracting #0: cost 1 inf + 0 75.017 * * [simplify]: Extracting #1: cost 8 inf + 0 75.017 * * [simplify]: Extracting #2: cost 18 inf + 0 75.017 * * [simplify]: Extracting #3: cost 19 inf + 2 75.017 * * [simplify]: Extracting #4: cost 9 inf + 977 75.017 * * [simplify]: Extracting #5: cost 2 inf + 1790 75.018 * * [simplify]: Extracting #6: cost 0 inf + 2195 75.018 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 75.018 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 75.018 * * * * [progress]: [ 55 / 463 ] simplifiying candidate # 75.019 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 75.019 * * [simplify]: iters left: 5 (8 enodes) 75.021 * * [simplify]: iters left: 4 (31 enodes) 75.026 * * [simplify]: iters left: 3 (45 enodes) 75.034 * * [simplify]: iters left: 2 (51 enodes) 75.041 * * [simplify]: iters left: 1 (52 enodes) 75.048 * * [simplify]: Extracting #0: cost 1 inf + 0 75.048 * * [simplify]: Extracting #1: cost 8 inf + 0 75.048 * * [simplify]: Extracting #2: cost 18 inf + 0 75.049 * * [simplify]: Extracting #3: cost 19 inf + 2 75.049 * * [simplify]: Extracting #4: cost 9 inf + 697 75.049 * * [simplify]: Extracting #5: cost 2 inf + 1390 75.049 * * [simplify]: Extracting #6: cost 0 inf + 1715 75.050 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 75.050 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 75.050 * * * * [progress]: [ 56 / 463 ] simplifiying candidate # 75.050 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 75.050 * * [simplify]: iters left: 5 (7 enodes) 75.053 * * [simplify]: iters left: 4 (29 enodes) 75.058 * * [simplify]: iters left: 3 (43 enodes) 75.069 * * [simplify]: iters left: 2 (47 enodes) 75.081 * * [simplify]: Extracting #0: cost 1 inf + 0 75.081 * * [simplify]: Extracting #1: cost 7 inf + 0 75.081 * * [simplify]: Extracting #2: cost 11 inf + 2 75.081 * * [simplify]: Extracting #3: cost 13 inf + 3 75.082 * * [simplify]: Extracting #4: cost 11 inf + 45 75.082 * * [simplify]: Extracting #5: cost 0 inf + 1066 75.082 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 75.082 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 75.083 * * * * [progress]: [ 57 / 463 ] simplifiying candidate # 75.083 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 75.083 * * [simplify]: iters left: 5 (7 enodes) 75.087 * * [simplify]: iters left: 4 (28 enodes) 75.097 * * [simplify]: iters left: 3 (39 enodes) 75.109 * * [simplify]: iters left: 2 (43 enodes) 75.125 * * [simplify]: Extracting #0: cost 1 inf + 0 75.125 * * [simplify]: Extracting #1: cost 7 inf + 0 75.125 * * [simplify]: Extracting #2: cost 16 inf + 0 75.125 * * [simplify]: Extracting #3: cost 15 inf + 164 75.125 * * [simplify]: Extracting #4: cost 13 inf + 287 75.125 * * [simplify]: Extracting #5: cost 5 inf + 1180 75.126 * * [simplify]: Extracting #6: cost 0 inf + 1951 75.127 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 75.127 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 75.127 * * * * [progress]: [ 58 / 463 ] simplifiying candidate # 75.127 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 75.127 * * [simplify]: iters left: 5 (7 enodes) 75.132 * * [simplify]: iters left: 4 (28 enodes) 75.141 * * [simplify]: iters left: 3 (39 enodes) 75.153 * * [simplify]: iters left: 2 (43 enodes) 75.166 * * [simplify]: Extracting #0: cost 1 inf + 0 75.166 * * [simplify]: Extracting #1: cost 7 inf + 0 75.166 * * [simplify]: Extracting #2: cost 16 inf + 0 75.166 * * [simplify]: Extracting #3: cost 15 inf + 84 75.166 * * [simplify]: Extracting #4: cost 13 inf + 167 75.166 * * [simplify]: Extracting #5: cost 5 inf + 900 75.167 * * [simplify]: Extracting #6: cost 0 inf + 1551 75.168 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 75.168 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 75.168 * * * * [progress]: [ 59 / 463 ] simplifiying candidate # 75.168 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 75.168 * * [simplify]: iters left: 5 (6 enodes) 75.172 * * [simplify]: iters left: 4 (26 enodes) 75.177 * * [simplify]: iters left: 3 (35 enodes) 75.183 * * [simplify]: Extracting #0: cost 1 inf + 0 75.183 * * [simplify]: Extracting #1: cost 6 inf + 0 75.183 * * [simplify]: Extracting #2: cost 9 inf + 2 75.183 * * [simplify]: Extracting #3: cost 11 inf + 3 75.183 * * [simplify]: Extracting #4: cost 10 inf + 4 75.183 * * [simplify]: Extracting #5: cost 3 inf + 535 75.183 * * [simplify]: Extracting #6: cost 0 inf + 822 75.183 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 75.183 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 75.183 * * * * [progress]: [ 60 / 463 ] simplifiying candidate # 75.184 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 75.184 * * [simplify]: iters left: 4 (6 enodes) 75.186 * * [simplify]: iters left: 3 (25 enodes) 75.190 * * [simplify]: iters left: 2 (36 enodes) 75.196 * * [simplify]: iters left: 1 (40 enodes) 75.204 * * [simplify]: Extracting #0: cost 1 inf + 0 75.204 * * [simplify]: Extracting #1: cost 7 inf + 0 75.204 * * [simplify]: Extracting #2: cost 16 inf + 0 75.204 * * [simplify]: Extracting #3: cost 13 inf + 44 75.204 * * [simplify]: Extracting #4: cost 3 inf + 1103 75.205 * * [simplify]: Extracting #5: cost 0 inf + 1469 75.205 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 75.205 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 75.206 * * * * [progress]: [ 61 / 463 ] simplifiying candidate # 75.206 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 75.206 * * [simplify]: iters left: 4 (6 enodes) 75.210 * * [simplify]: iters left: 3 (25 enodes) 75.218 * * [simplify]: iters left: 2 (36 enodes) 75.230 * * [simplify]: iters left: 1 (40 enodes) 75.242 * * [simplify]: Extracting #0: cost 1 inf + 0 75.242 * * [simplify]: Extracting #1: cost 7 inf + 0 75.242 * * [simplify]: Extracting #2: cost 16 inf + 0 75.242 * * [simplify]: Extracting #3: cost 13 inf + 44 75.242 * * [simplify]: Extracting #4: cost 3 inf + 823 75.243 * * [simplify]: Extracting #5: cost 0 inf + 1069 75.243 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 75.243 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 75.243 * * * * [progress]: [ 62 / 463 ] simplifiying candidate # 75.244 * [simplify]: Simplifying (/ (- 1 k) 2) 75.244 * * [simplify]: iters left: 4 (5 enodes) 75.248 * * [simplify]: iters left: 3 (23 enodes) 75.259 * * [simplify]: iters left: 2 (32 enodes) 75.266 * * [simplify]: Extracting #0: cost 1 inf + 0 75.266 * * [simplify]: Extracting #1: cost 6 inf + 0 75.266 * * [simplify]: Extracting #2: cost 9 inf + 2 75.266 * * [simplify]: Extracting #3: cost 6 inf + 87 75.266 * * [simplify]: Extracting #4: cost 0 inf + 420 75.266 * [simplify]: Simplified to (/ (- 1 k) 2) 75.266 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n (/ 1 1)) (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 75.266 * * * * [progress]: [ 63 / 463 ] simplifiying candidate # 75.266 * [simplify]: Simplifying (/ (- 1 k) 2) 75.266 * * [simplify]: iters left: 4 (5 enodes) 75.268 * * [simplify]: iters left: 3 (23 enodes) 75.272 * * [simplify]: iters left: 2 (32 enodes) 75.278 * * [simplify]: Extracting #0: cost 1 inf + 0 75.278 * * [simplify]: Extracting #1: cost 6 inf + 0 75.278 * * [simplify]: Extracting #2: cost 9 inf + 2 75.278 * * [simplify]: Extracting #3: cost 6 inf + 87 75.278 * * [simplify]: Extracting #4: cost 0 inf + 420 75.278 * [simplify]: Simplified to (/ (- 1 k) 2) 75.278 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n 1) (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 75.278 * * * * [progress]: [ 64 / 463 ] simplifiying candidate # 75.278 * [simplify]: Simplifying (/ 1 2) 75.279 * * [simplify]: iters left: 2 (3 enodes) 75.280 * * [simplify]: iters left: 1 (12 enodes) 75.283 * * [simplify]: Extracting #0: cost 1 inf + 0 75.283 * * [simplify]: Extracting #1: cost 0 inf + 1 75.283 * [simplify]: Simplified to 1/2 75.283 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n (- 1 k)) 1/2) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 75.283 * * * * [progress]: [ 65 / 463 ] simplifiying candidate # 75.283 * [simplify]: Simplifying (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) 75.283 * * [simplify]: iters left: 5 (9 enodes) 75.286 * * [simplify]: iters left: 4 (38 enodes) 75.294 * * [simplify]: iters left: 3 (63 enodes) 75.310 * * [simplify]: iters left: 2 (98 enodes) 75.342 * * [simplify]: iters left: 1 (167 enodes) 75.383 * * [simplify]: Extracting #0: cost 1 inf + 0 75.383 * * [simplify]: Extracting #1: cost 13 inf + 0 75.383 * * [simplify]: Extracting #2: cost 54 inf + 1 75.384 * * [simplify]: Extracting #3: cost 87 inf + 5 75.385 * * [simplify]: Extracting #4: cost 68 inf + 1334 75.387 * * [simplify]: Extracting #5: cost 40 inf + 5047 75.391 * * [simplify]: Extracting #6: cost 11 inf + 17686 75.398 * * [simplify]: Extracting #7: cost 0 inf + 25802 75.404 * [simplify]: Simplified to (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) 75.405 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (pow (cbrt n) (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 75.405 * * * * [progress]: [ 66 / 463 ] simplifiying candidate # 75.405 * [simplify]: Simplifying (pow (sqrt n) (/ (- 1 k) 2)) 75.405 * * [simplify]: iters left: 5 (8 enodes) 75.410 * * [simplify]: iters left: 4 (35 enodes) 75.422 * * [simplify]: iters left: 3 (56 enodes) 75.441 * * [simplify]: iters left: 2 (89 enodes) 75.475 * * [simplify]: iters left: 1 (175 enodes) 75.546 * * [simplify]: Extracting #0: cost 1 inf + 0 75.546 * * [simplify]: Extracting #1: cost 13 inf + 0 75.547 * * [simplify]: Extracting #2: cost 53 inf + 1 75.547 * * [simplify]: Extracting #3: cost 83 inf + 47 75.548 * * [simplify]: Extracting #4: cost 66 inf + 2084 75.551 * * [simplify]: Extracting #5: cost 25 inf + 7926 75.556 * * [simplify]: Extracting #6: cost 3 inf + 20905 75.563 * * [simplify]: Extracting #7: cost 0 inf + 22641 75.569 * * [simplify]: Extracting #8: cost 0 inf + 22420 75.576 * [simplify]: Simplified to (pow (sqrt n) (/ (- 1 k) 2)) 75.576 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow (sqrt n) (/ (- 1 k) 2)) (pow (sqrt n) (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 75.576 * * * * [progress]: [ 67 / 463 ] simplifiying candidate # 75.576 * [simplify]: Simplifying (pow 1 (/ (- 1 k) 2)) 75.576 * * [simplify]: iters left: 5 (6 enodes) 75.581 * * [simplify]: iters left: 4 (24 enodes) 75.589 * * [simplify]: iters left: 3 (33 enodes) 75.599 * * [simplify]: Extracting #0: cost 1 inf + 0 75.599 * * [simplify]: Extracting #1: cost 0 inf + 1 75.599 * [simplify]: Simplified to 1 75.599 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* 1 (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 75.599 * * * * [progress]: [ 68 / 463 ] simplifiying candidate # 75.599 * * * * [progress]: [ 69 / 463 ] simplifiying candidate # 75.599 * * * * [progress]: [ 70 / 463 ] simplifiying candidate # 75.599 * * * * [progress]: [ 71 / 463 ] simplifiying candidate # 75.599 * * * * [progress]: [ 72 / 463 ] simplifiying candidate # 75.599 * * * * [progress]: [ 73 / 463 ] simplifiying candidate # 75.599 * * * * [progress]: [ 74 / 463 ] simplifiying candidate # 75.599 * * * * [progress]: [ 75 / 463 ] simplifiying candidate # 75.599 * * * * [progress]: [ 76 / 463 ] simplifiying candidate #real (real->posit16 (pow n (/ (- 1 k) 2)))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))> 75.599 * * * * [progress]: [ 77 / 463 ] simplifiying candidate # 75.600 * * * * [progress]: [ 78 / 463 ] simplifiying candidate # 75.600 * [simplify]: Simplifying (- (log (sqrt k)) (* (+ (log 2) (log PI)) (/ (- 1 k) 2))) 75.600 * * [simplify]: iters left: 6 (13 enodes) 75.607 * * [simplify]: iters left: 5 (53 enodes) 75.625 * * [simplify]: iters left: 4 (93 enodes) 75.662 * * [simplify]: iters left: 3 (190 enodes) 75.738 * * [simplify]: iters left: 2 (421 enodes) 75.920 * * [simplify]: Extracting #0: cost 1 inf + 0 75.920 * * [simplify]: Extracting #1: cost 15 inf + 0 75.920 * * [simplify]: Extracting #2: cost 70 inf + 0 75.920 * * [simplify]: Extracting #3: cost 133 inf + 407 75.921 * * [simplify]: Extracting #4: cost 136 inf + 2067 75.925 * * [simplify]: Extracting #5: cost 45 inf + 22573 75.938 * * [simplify]: Extracting #6: cost 0 inf + 34514 75.946 * [simplify]: Simplified to (- (log (sqrt k)) (* (+ (log PI) (log 2)) (/ (- 1 k) 2))) 75.946 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (exp (- (log (sqrt k)) (* (+ (log PI) (log 2)) (/ (- 1 k) 2)))))) 75.946 * * * * [progress]: [ 79 / 463 ] simplifiying candidate # 75.946 * [simplify]: Simplifying (- (log (sqrt k)) (* (log (* 2 PI)) (/ (- 1 k) 2))) 75.946 * * [simplify]: iters left: 6 (12 enodes) 75.951 * * [simplify]: iters left: 5 (53 enodes) 75.960 * * [simplify]: iters left: 4 (96 enodes) 75.982 * * [simplify]: iters left: 3 (189 enodes) 76.049 * * [simplify]: iters left: 2 (409 enodes) 76.205 * * [simplify]: Extracting #0: cost 1 inf + 0 76.205 * * [simplify]: Extracting #1: cost 14 inf + 0 76.205 * * [simplify]: Extracting #2: cost 71 inf + 0 76.206 * * [simplify]: Extracting #3: cost 133 inf + 296 76.206 * * [simplify]: Extracting #4: cost 134 inf + 2350 76.210 * * [simplify]: Extracting #5: cost 56 inf + 16610 76.222 * * [simplify]: Extracting #6: cost 2 inf + 30059 76.235 * * [simplify]: Extracting #7: cost 0 inf + 30555 76.248 * [simplify]: Simplified to (- (log (sqrt k)) (/ (- 1 k) (/ 2 (log (* 2 PI))))) 76.249 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (exp (- (log (sqrt k)) (/ (- 1 k) (/ 2 (log (* 2 PI)))))))) 76.249 * * * * [progress]: [ 80 / 463 ] simplifiying candidate # 76.249 * [simplify]: Simplifying (- (log (sqrt k)) (* (log (* 2 PI)) (/ (- 1 k) 2))) 76.249 * * [simplify]: iters left: 6 (12 enodes) 76.256 * * [simplify]: iters left: 5 (53 enodes) 76.274 * * [simplify]: iters left: 4 (96 enodes) 76.312 * * [simplify]: iters left: 3 (189 enodes) 76.365 * * [simplify]: iters left: 2 (409 enodes) 76.559 * * [simplify]: Extracting #0: cost 1 inf + 0 76.559 * * [simplify]: Extracting #1: cost 14 inf + 0 76.559 * * [simplify]: Extracting #2: cost 71 inf + 0 76.560 * * [simplify]: Extracting #3: cost 133 inf + 296 76.562 * * [simplify]: Extracting #4: cost 134 inf + 2350 76.568 * * [simplify]: Extracting #5: cost 56 inf + 16610 76.580 * * [simplify]: Extracting #6: cost 2 inf + 30059 76.593 * * [simplify]: Extracting #7: cost 0 inf + 30555 76.606 * [simplify]: Simplified to (- (log (sqrt k)) (/ (- 1 k) (/ 2 (log (* 2 PI))))) 76.607 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (exp (- (log (sqrt k)) (/ (- 1 k) (/ 2 (log (* 2 PI)))))))) 76.607 * * * * [progress]: [ 81 / 463 ] simplifiying candidate # 76.607 * [simplify]: Simplifying (- (log (sqrt k)) (log (pow (* 2 PI) (/ (- 1 k) 2)))) 76.607 * * [simplify]: iters left: 6 (12 enodes) 76.614 * * [simplify]: iters left: 5 (52 enodes) 76.632 * * [simplify]: iters left: 4 (95 enodes) 76.664 * * [simplify]: iters left: 3 (186 enodes) 76.735 * * [simplify]: iters left: 2 (448 enodes) 76.907 * * [simplify]: Extracting #0: cost 1 inf + 0 76.908 * * [simplify]: Extracting #1: cost 41 inf + 0 76.909 * * [simplify]: Extracting #2: cost 225 inf + 0 76.911 * * [simplify]: Extracting #3: cost 332 inf + 199 76.916 * * [simplify]: Extracting #4: cost 300 inf + 10501 76.933 * * [simplify]: Extracting #5: cost 102 inf + 50391 76.960 * * [simplify]: Extracting #6: cost 13 inf + 82806 76.990 * * [simplify]: Extracting #7: cost 0 inf + 90499 77.027 * * [simplify]: Extracting #8: cost 0 inf + 90128 77.056 * [simplify]: Simplified to (- (log (sqrt k)) (/ (- 1 k) (/ 2 (log (* 2 PI))))) 77.056 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (exp (- (log (sqrt k)) (/ (- 1 k) (/ 2 (log (* 2 PI)))))))) 77.056 * * * * [progress]: [ 82 / 463 ] simplifiying candidate # 77.056 * * * * [progress]: [ 83 / 463 ] simplifiying candidate # 77.056 * * * * [progress]: [ 84 / 463 ] simplifiying candidate # 77.056 * [simplify]: Simplifying (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow (* 2 PI) (/ (- 1 k) 2)))) 77.057 * * [simplify]: iters left: 6 (14 enodes) 77.061 * * [simplify]: iters left: 5 (63 enodes) 77.074 * * [simplify]: iters left: 4 (150 enodes) 77.144 * * [simplify]: iters left: 3 (418 enodes) 77.399 * * [simplify]: Extracting #0: cost 1 inf + 0 77.400 * * [simplify]: Extracting #1: cost 110 inf + 0 77.401 * * [simplify]: Extracting #2: cost 318 inf + 123 77.402 * * [simplify]: Extracting #3: cost 376 inf + 248 77.404 * * [simplify]: Extracting #4: cost 360 inf + 1499 77.411 * * [simplify]: Extracting #5: cost 240 inf + 62821 77.440 * * [simplify]: Extracting #6: cost 40 inf + 200872 77.496 * * [simplify]: Extracting #7: cost 0 inf + 223983 77.561 * * [simplify]: Extracting #8: cost 0 inf + 223171 77.629 * [simplify]: Simplified to (* (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))) (/ (/ k (pow (* 2 PI) (/ (- 1 k) 2))) (pow (* 2 PI) (/ (- 1 k) 2)))) 77.629 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (cbrt (* (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))) (/ (/ k (pow (* 2 PI) (/ (- 1 k) 2))) (pow (* 2 PI) (/ (- 1 k) 2))))))) 77.629 * * * * [progress]: [ 85 / 463 ] simplifiying candidate # 77.629 * * * * [progress]: [ 86 / 463 ] simplifiying candidate # 77.629 * * * * [progress]: [ 87 / 463 ] simplifiying candidate # 77.629 * * * * [progress]: [ 88 / 463 ] simplifiying candidate # 77.629 * * * * [progress]: [ 89 / 463 ] simplifiying candidate # 77.630 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (/ (- 1 k) 2))) 77.630 * * [simplify]: iters left: 6 (10 enodes) 77.637 * * [simplify]: iters left: 5 (43 enodes) 77.652 * * [simplify]: iters left: 4 (73 enodes) 77.678 * * [simplify]: iters left: 3 (133 enodes) 77.713 * * [simplify]: iters left: 2 (286 enodes) 77.844 * * [simplify]: Extracting #0: cost 1 inf + 0 77.844 * * [simplify]: Extracting #1: cost 43 inf + 0 77.845 * * [simplify]: Extracting #2: cost 142 inf + 0 77.850 * * [simplify]: Extracting #3: cost 200 inf + 3 77.853 * * [simplify]: Extracting #4: cost 180 inf + 4274 77.861 * * [simplify]: Extracting #5: cost 98 inf + 36344 77.878 * * [simplify]: Extracting #6: cost 12 inf + 93028 77.891 * * [simplify]: Extracting #7: cost 0 inf + 101774 77.903 * [simplify]: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (/ (- 1 k) 2))) 77.904 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 77.904 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2))) 77.904 * * [simplify]: iters left: 6 (10 enodes) 77.907 * * [simplify]: iters left: 5 (41 enodes) 77.915 * * [simplify]: iters left: 4 (64 enodes) 77.926 * * [simplify]: iters left: 3 (104 enodes) 78.327 * * [simplify]: iters left: 2 (198 enodes) 78.387 * * [simplify]: iters left: 1 (377 enodes) 78.567 * * [simplify]: Extracting #0: cost 1 inf + 0 78.567 * * [simplify]: Extracting #1: cost 6 inf + 0 78.567 * * [simplify]: Extracting #2: cost 39 inf + 0 78.568 * * [simplify]: Extracting #3: cost 126 inf + 2 78.569 * * [simplify]: Extracting #4: cost 186 inf + 376 78.572 * * [simplify]: Extracting #5: cost 156 inf + 5774 78.581 * * [simplify]: Extracting #6: cost 69 inf + 27838 78.597 * * [simplify]: Extracting #7: cost 11 inf + 62693 78.616 * * [simplify]: Extracting #8: cost 0 inf + 68967 78.636 * * [simplify]: Extracting #9: cost 0 inf + 68242 78.655 * * [simplify]: Extracting #10: cost 0 inf + 67990 78.674 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2))) 78.674 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 78.674 * * * * [progress]: [ 90 / 463 ] simplifiying candidate # 78.675 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 78.675 * * [simplify]: iters left: 6 (14 enodes) 78.682 * * [simplify]: iters left: 5 (60 enodes) 78.696 * * [simplify]: iters left: 4 (100 enodes) 78.717 * * [simplify]: iters left: 3 (138 enodes) 78.746 * * [simplify]: iters left: 2 (209 enodes) 78.826 * * [simplify]: iters left: 1 (366 enodes) 78.956 * * [simplify]: Extracting #0: cost 1 inf + 0 78.957 * * [simplify]: Extracting #1: cost 11 inf + 0 78.957 * * [simplify]: Extracting #2: cost 22 inf + 0 78.957 * * [simplify]: Extracting #3: cost 47 inf + 0 78.958 * * [simplify]: Extracting #4: cost 115 inf + 43 78.959 * * [simplify]: Extracting #5: cost 149 inf + 540 78.962 * * [simplify]: Extracting #6: cost 108 inf + 6677 78.972 * * [simplify]: Extracting #7: cost 34 inf + 35679 78.991 * * [simplify]: Extracting #8: cost 1 inf + 57296 79.011 * * [simplify]: Extracting #9: cost 0 inf + 58463 79.031 * [simplify]: Simplified to (* (/ (cbrt (sqrt k)) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))))) 79.031 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (* (/ (cbrt (sqrt k)) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 79.032 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) 79.032 * * [simplify]: iters left: 6 (12 enodes) 79.038 * * [simplify]: iters left: 5 (48 enodes) 79.058 * * [simplify]: iters left: 4 (73 enodes) 79.083 * * [simplify]: iters left: 3 (104 enodes) 79.116 * * [simplify]: iters left: 2 (172 enodes) 79.183 * * [simplify]: iters left: 1 (329 enodes) 79.303 * * [simplify]: Extracting #0: cost 1 inf + 0 79.303 * * [simplify]: Extracting #1: cost 4 inf + 0 79.303 * * [simplify]: Extracting #2: cost 8 inf + 0 79.303 * * [simplify]: Extracting #3: cost 37 inf + 0 79.304 * * [simplify]: Extracting #4: cost 109 inf + 43 79.305 * * [simplify]: Extracting #5: cost 139 inf + 713 79.308 * * [simplify]: Extracting #6: cost 103 inf + 6288 79.314 * * [simplify]: Extracting #7: cost 59 inf + 14866 79.325 * * [simplify]: Extracting #8: cost 23 inf + 38763 79.343 * * [simplify]: Extracting #9: cost 2 inf + 56752 79.362 * * [simplify]: Extracting #10: cost 0 inf + 57845 79.380 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) 79.380 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 79.380 * * * * [progress]: [ 91 / 463 ] simplifiying candidate # 79.380 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 79.380 * * [simplify]: iters left: 6 (13 enodes) 79.385 * * [simplify]: iters left: 5 (53 enodes) 79.395 * * [simplify]: iters left: 4 (83 enodes) 79.419 * * [simplify]: iters left: 3 (121 enodes) 79.458 * * [simplify]: iters left: 2 (190 enodes) 79.509 * * [simplify]: iters left: 1 (343 enodes) 79.663 * * [simplify]: Extracting #0: cost 1 inf + 0 79.663 * * [simplify]: Extracting #1: cost 7 inf + 0 79.664 * * [simplify]: Extracting #2: cost 15 inf + 0 79.664 * * [simplify]: Extracting #3: cost 44 inf + 0 79.664 * * [simplify]: Extracting #4: cost 118 inf + 43 79.665 * * [simplify]: Extracting #5: cost 146 inf + 782 79.667 * * [simplify]: Extracting #6: cost 90 inf + 10520 79.673 * * [simplify]: Extracting #7: cost 27 inf + 33606 79.682 * * [simplify]: Extracting #8: cost 0 inf + 51059 79.694 * * [simplify]: Extracting #9: cost 0 inf + 49710 79.708 * * [simplify]: Extracting #10: cost 0 inf + 49579 79.726 * [simplify]: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 79.726 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 79.726 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 79.726 * * [simplify]: iters left: 6 (12 enodes) 79.730 * * [simplify]: iters left: 5 (48 enodes) 79.741 * * [simplify]: iters left: 4 (74 enodes) 79.755 * * [simplify]: iters left: 3 (109 enodes) 79.791 * * [simplify]: iters left: 2 (182 enodes) 79.828 * * [simplify]: iters left: 1 (345 enodes) 79.965 * * [simplify]: Extracting #0: cost 1 inf + 0 79.965 * * [simplify]: Extracting #1: cost 4 inf + 0 79.965 * * [simplify]: Extracting #2: cost 9 inf + 0 79.965 * * [simplify]: Extracting #3: cost 35 inf + 0 79.966 * * [simplify]: Extracting #4: cost 109 inf + 43 79.966 * * [simplify]: Extracting #5: cost 129 inf + 955 79.968 * * [simplify]: Extracting #6: cost 79 inf + 8825 79.979 * * [simplify]: Extracting #7: cost 24 inf + 36176 79.996 * * [simplify]: Extracting #8: cost 0 inf + 55273 80.011 * * [simplify]: Extracting #9: cost 0 inf + 54222 80.019 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 80.019 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 80.019 * * * * [progress]: [ 92 / 463 ] simplifiying candidate # 80.020 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 80.020 * * [simplify]: iters left: 6 (6 enodes) 80.021 * * [simplify]: iters left: 5 (20 enodes) 80.028 * * [simplify]: iters left: 4 (30 enodes) 80.033 * * [simplify]: iters left: 3 (31 enodes) 80.037 * * [simplify]: Extracting #0: cost 1 inf + 0 80.037 * * [simplify]: Extracting #1: cost 5 inf + 0 80.037 * * [simplify]: Extracting #2: cost 7 inf + 1 80.037 * * [simplify]: Extracting #3: cost 9 inf + 1 80.037 * * [simplify]: Extracting #4: cost 8 inf + 2 80.038 * * [simplify]: Extracting #5: cost 0 inf + 972 80.038 * [simplify]: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 80.038 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 80.038 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) 80.039 * * [simplify]: iters left: 6 (11 enodes) 80.045 * * [simplify]: iters left: 5 (45 enodes) 80.062 * * [simplify]: iters left: 4 (68 enodes) 80.084 * * [simplify]: iters left: 3 (108 enodes) 80.109 * * [simplify]: iters left: 2 (205 enodes) 80.165 * * [simplify]: iters left: 1 (384 enodes) 80.303 * * [simplify]: Extracting #0: cost 1 inf + 0 80.303 * * [simplify]: Extracting #1: cost 6 inf + 0 80.303 * * [simplify]: Extracting #2: cost 36 inf + 0 80.304 * * [simplify]: Extracting #3: cost 122 inf + 1 80.305 * * [simplify]: Extracting #4: cost 155 inf + 832 80.312 * * [simplify]: Extracting #5: cost 86 inf + 26046 80.329 * * [simplify]: Extracting #6: cost 12 inf + 63304 80.344 * * [simplify]: Extracting #7: cost 0 inf + 68976 80.357 * * [simplify]: Extracting #8: cost 0 inf + 68724 80.370 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))) 80.370 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k))))))) 80.370 * * * * [progress]: [ 93 / 463 ] simplifiying candidate # 80.370 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 80.371 * * [simplify]: iters left: 6 (13 enodes) 80.378 * * [simplify]: iters left: 5 (56 enodes) 80.400 * * [simplify]: iters left: 4 (93 enodes) 80.417 * * [simplify]: iters left: 3 (161 enodes) 80.471 * * [simplify]: iters left: 2 (315 enodes) 80.594 * * [simplify]: Extracting #0: cost 1 inf + 0 80.594 * * [simplify]: Extracting #1: cost 45 inf + 0 80.595 * * [simplify]: Extracting #2: cost 139 inf + 0 80.596 * * [simplify]: Extracting #3: cost 203 inf + 2 80.599 * * [simplify]: Extracting #4: cost 178 inf + 7425 80.612 * * [simplify]: Extracting #5: cost 78 inf + 51825 80.638 * * [simplify]: Extracting #6: cost 3 inf + 104139 80.667 * * [simplify]: Extracting #7: cost 0 inf + 103611 80.695 * * [simplify]: Extracting #8: cost 0 inf + 103376 80.716 * [simplify]: Simplified to (* (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 4))) (cbrt (sqrt k))) 80.716 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (* (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 4))) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 80.717 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 80.717 * * [simplify]: iters left: 6 (12 enodes) 80.721 * * [simplify]: iters left: 5 (51 enodes) 80.733 * * [simplify]: iters left: 4 (81 enodes) 80.749 * * [simplify]: iters left: 3 (135 enodes) 80.800 * * [simplify]: iters left: 2 (260 enodes) 80.907 * * [simplify]: iters left: 1 (494 enodes) 81.132 * * [simplify]: Extracting #0: cost 1 inf + 0 81.132 * * [simplify]: Extracting #1: cost 6 inf + 0 81.132 * * [simplify]: Extracting #2: cost 38 inf + 0 81.133 * * [simplify]: Extracting #3: cost 141 inf + 1 81.135 * * [simplify]: Extracting #4: cost 209 inf + 424 81.139 * * [simplify]: Extracting #5: cost 140 inf + 15450 81.155 * * [simplify]: Extracting #6: cost 12 inf + 68049 81.167 * * [simplify]: Extracting #7: cost 0 inf + 73224 81.180 * * [simplify]: Extracting #8: cost 0 inf + 72260 81.191 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (* 2 PI) (- 1/4 (/ k 4)))) 81.192 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (/ (cbrt (sqrt k)) (pow (* 2 PI) (- 1/4 (/ k 4))))))) 81.192 * * * * [progress]: [ 94 / 463 ] simplifiying candidate # 81.192 * [simplify]: Simplifying (/ (sqrt (* (cbrt k) (cbrt k))) (pow 2 (/ (- 1 k) 2))) 81.192 * * [simplify]: iters left: 6 (10 enodes) 81.196 * * [simplify]: iters left: 5 (42 enodes) 81.203 * * [simplify]: iters left: 4 (65 enodes) 81.215 * * [simplify]: iters left: 3 (105 enodes) 81.249 * * [simplify]: iters left: 2 (202 enodes) 81.327 * * [simplify]: iters left: 1 (383 enodes) 81.506 * * [simplify]: Extracting #0: cost 1 inf + 0 81.506 * * [simplify]: Extracting #1: cost 6 inf + 0 81.506 * * [simplify]: Extracting #2: cost 38 inf + 0 81.507 * * [simplify]: Extracting #3: cost 123 inf + 2 81.508 * * [simplify]: Extracting #4: cost 155 inf + 1572 81.510 * * [simplify]: Extracting #5: cost 102 inf + 10844 81.515 * * [simplify]: Extracting #6: cost 33 inf + 42002 81.524 * * [simplify]: Extracting #7: cost 3 inf + 61076 81.534 * * [simplify]: Extracting #8: cost 0 inf + 62911 81.544 * [simplify]: Simplified to (/ (fabs (cbrt k)) (pow 2 (* 1/2 (- 1 k)))) 81.545 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (fabs (cbrt k)) (pow 2 (* 1/2 (- 1 k)))) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))))) 81.545 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2))) 81.545 * * [simplify]: iters left: 6 (10 enodes) 81.551 * * [simplify]: iters left: 5 (41 enodes) 81.565 * * [simplify]: iters left: 4 (64 enodes) 81.588 * * [simplify]: iters left: 3 (104 enodes) 81.632 * * [simplify]: iters left: 2 (198 enodes) 81.703 * * [simplify]: iters left: 1 (377 enodes) 81.842 * * [simplify]: Extracting #0: cost 1 inf + 0 81.842 * * [simplify]: Extracting #1: cost 6 inf + 0 81.842 * * [simplify]: Extracting #2: cost 39 inf + 0 81.842 * * [simplify]: Extracting #3: cost 126 inf + 2 81.843 * * [simplify]: Extracting #4: cost 186 inf + 456 81.844 * * [simplify]: Extracting #5: cost 156 inf + 5854 81.849 * * [simplify]: Extracting #6: cost 69 inf + 27918 81.856 * * [simplify]: Extracting #7: cost 11 inf + 62773 81.873 * * [simplify]: Extracting #8: cost 0 inf + 69047 81.892 * * [simplify]: Extracting #9: cost 0 inf + 68322 81.911 * * [simplify]: Extracting #10: cost 0 inf + 68070 81.921 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2))) 81.921 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (sqrt (* (cbrt k) (cbrt k))) (pow 2 (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))))) 81.922 * * * * [progress]: [ 95 / 463 ] simplifiying candidate # 81.922 * [simplify]: Simplifying (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 81.922 * * [simplify]: iters left: 6 (14 enodes) 81.926 * * [simplify]: iters left: 5 (57 enodes) 81.939 * * [simplify]: iters left: 4 (84 enodes) 81.959 * * [simplify]: iters left: 3 (115 enodes) 81.980 * * [simplify]: iters left: 2 (183 enodes) 82.026 * * [simplify]: iters left: 1 (341 enodes) 82.170 * * [simplify]: Extracting #0: cost 1 inf + 0 82.170 * * [simplify]: Extracting #1: cost 6 inf + 0 82.170 * * [simplify]: Extracting #2: cost 13 inf + 0 82.170 * * [simplify]: Extracting #3: cost 38 inf + 0 82.171 * * [simplify]: Extracting #4: cost 103 inf + 83 82.172 * * [simplify]: Extracting #5: cost 130 inf + 704 82.175 * * [simplify]: Extracting #6: cost 94 inf + 7623 82.189 * * [simplify]: Extracting #7: cost 15 inf + 40046 82.211 * * [simplify]: Extracting #8: cost 0 inf + 48905 82.224 * * [simplify]: Extracting #9: cost 0 inf + 48351 82.235 * [simplify]: Simplified to (/ (fabs (cbrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 82.235 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (fabs (cbrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (sqrt (cbrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 82.235 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) 82.235 * * [simplify]: iters left: 6 (12 enodes) 82.239 * * [simplify]: iters left: 5 (48 enodes) 82.253 * * [simplify]: iters left: 4 (73 enodes) 82.281 * * [simplify]: iters left: 3 (104 enodes) 82.317 * * [simplify]: iters left: 2 (172 enodes) 82.360 * * [simplify]: iters left: 1 (329 enodes) 82.507 * * [simplify]: Extracting #0: cost 1 inf + 0 82.507 * * [simplify]: Extracting #1: cost 4 inf + 0 82.507 * * [simplify]: Extracting #2: cost 8 inf + 0 82.507 * * [simplify]: Extracting #3: cost 37 inf + 0 82.508 * * [simplify]: Extracting #4: cost 109 inf + 83 82.509 * * [simplify]: Extracting #5: cost 139 inf + 793 82.512 * * [simplify]: Extracting #6: cost 103 inf + 6368 82.518 * * [simplify]: Extracting #7: cost 59 inf + 14946 82.529 * * [simplify]: Extracting #8: cost 23 inf + 38843 82.547 * * [simplify]: Extracting #9: cost 2 inf + 56832 82.566 * * [simplify]: Extracting #10: cost 0 inf + 57925 82.581 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) 82.581 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (fabs (cbrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (sqrt (cbrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 82.581 * * * * [progress]: [ 96 / 463 ] simplifiying candidate # 82.582 * [simplify]: Simplifying (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 82.582 * * [simplify]: iters left: 6 (13 enodes) 82.586 * * [simplify]: iters left: 5 (52 enodes) 82.595 * * [simplify]: iters left: 4 (78 enodes) 82.608 * * [simplify]: iters left: 3 (109 enodes) 82.648 * * [simplify]: iters left: 2 (177 enodes) 82.716 * * [simplify]: iters left: 1 (342 enodes) 82.908 * * [simplify]: Extracting #0: cost 1 inf + 0 82.908 * * [simplify]: Extracting #1: cost 4 inf + 0 82.908 * * [simplify]: Extracting #2: cost 10 inf + 0 82.908 * * [simplify]: Extracting #3: cost 39 inf + 0 82.909 * * [simplify]: Extracting #4: cost 121 inf + 83 82.910 * * [simplify]: Extracting #5: cost 148 inf + 987 82.913 * * [simplify]: Extracting #6: cost 106 inf + 6235 82.925 * * [simplify]: Extracting #7: cost 30 inf + 38063 82.947 * * [simplify]: Extracting #8: cost 0 inf + 61993 82.969 * * [simplify]: Extracting #9: cost 0 inf + 60102 82.985 * * [simplify]: Extracting #10: cost 0 inf + 59680 82.996 * [simplify]: Simplified to (/ (fabs (cbrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 82.996 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (fabs (cbrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) (/ (sqrt (cbrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 82.997 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 82.997 * * [simplify]: iters left: 6 (12 enodes) 83.000 * * [simplify]: iters left: 5 (48 enodes) 83.009 * * [simplify]: iters left: 4 (74 enodes) 83.033 * * [simplify]: iters left: 3 (109 enodes) 83.071 * * [simplify]: iters left: 2 (182 enodes) 83.138 * * [simplify]: iters left: 1 (345 enodes) 83.304 * * [simplify]: Extracting #0: cost 1 inf + 0 83.304 * * [simplify]: Extracting #1: cost 4 inf + 0 83.304 * * [simplify]: Extracting #2: cost 9 inf + 0 83.304 * * [simplify]: Extracting #3: cost 35 inf + 0 83.305 * * [simplify]: Extracting #4: cost 109 inf + 83 83.306 * * [simplify]: Extracting #5: cost 129 inf + 1035 83.309 * * [simplify]: Extracting #6: cost 79 inf + 8905 83.320 * * [simplify]: Extracting #7: cost 24 inf + 36256 83.337 * * [simplify]: Extracting #8: cost 0 inf + 55353 83.349 * * [simplify]: Extracting #9: cost 0 inf + 54302 83.357 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 83.358 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (fabs (cbrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) (/ (sqrt (cbrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 83.358 * * * * [progress]: [ 97 / 463 ] simplifiying candidate # 83.358 * [simplify]: Simplifying (/ (sqrt (* (cbrt k) (cbrt k))) 1) 83.358 * * [simplify]: iters left: 6 (6 enodes) 83.360 * * [simplify]: iters left: 5 (19 enodes) 83.363 * * [simplify]: iters left: 4 (23 enodes) 83.366 * * [simplify]: Extracting #0: cost 1 inf + 0 83.366 * * [simplify]: Extracting #1: cost 5 inf + 0 83.366 * * [simplify]: Extracting #2: cost 7 inf + 1 83.366 * * [simplify]: Extracting #3: cost 6 inf + 2 83.366 * * [simplify]: Extracting #4: cost 0 inf + 648 83.366 * [simplify]: Simplified to (fabs (cbrt k)) 83.367 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (fabs (cbrt k)) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 83.367 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) 83.367 * * [simplify]: iters left: 6 (11 enodes) 83.370 * * [simplify]: iters left: 5 (45 enodes) 83.383 * * [simplify]: iters left: 4 (68 enodes) 83.400 * * [simplify]: iters left: 3 (108 enodes) 83.421 * * [simplify]: iters left: 2 (205 enodes) 83.474 * * [simplify]: iters left: 1 (384 enodes) 83.636 * * [simplify]: Extracting #0: cost 1 inf + 0 83.636 * * [simplify]: Extracting #1: cost 6 inf + 0 83.636 * * [simplify]: Extracting #2: cost 36 inf + 0 83.637 * * [simplify]: Extracting #3: cost 122 inf + 1 83.638 * * [simplify]: Extracting #4: cost 155 inf + 912 83.644 * * [simplify]: Extracting #5: cost 86 inf + 26126 83.661 * * [simplify]: Extracting #6: cost 12 inf + 63384 83.682 * * [simplify]: Extracting #7: cost 0 inf + 69056 83.700 * * [simplify]: Extracting #8: cost 0 inf + 68804 83.713 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))) 83.713 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (fabs (cbrt k)) (/ (sqrt (cbrt k)) (pow (* 2 PI) (* 1/2 (- 1 k))))))) 83.713 * * * * [progress]: [ 98 / 463 ] simplifiying candidate # 83.713 * [simplify]: Simplifying (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 83.713 * * [simplify]: iters left: 6 (13 enodes) 83.717 * * [simplify]: iters left: 5 (55 enodes) 83.727 * * [simplify]: iters left: 4 (88 enodes) 83.754 * * [simplify]: iters left: 3 (140 enodes) 83.802 * * [simplify]: iters left: 2 (250 enodes) 83.873 * * [simplify]: iters left: 1 (464 enodes) 84.122 * * [simplify]: Extracting #0: cost 1 inf + 0 84.122 * * [simplify]: Extracting #1: cost 6 inf + 0 84.122 * * [simplify]: Extracting #2: cost 37 inf + 0 84.123 * * [simplify]: Extracting #3: cost 137 inf + 1 84.125 * * [simplify]: Extracting #4: cost 204 inf + 500 84.129 * * [simplify]: Extracting #5: cost 150 inf + 9825 84.148 * * [simplify]: Extracting #6: cost 39 inf + 46419 84.162 * * [simplify]: Extracting #7: cost 2 inf + 70861 84.172 * * [simplify]: Extracting #8: cost 0 inf + 69825 84.184 * [simplify]: Simplified to (/ (fabs (cbrt k)) (pow (* 2 PI) (- 1/4 (/ k 4)))) 84.184 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (fabs (cbrt k)) (pow (* 2 PI) (- 1/4 (/ k 4)))) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 84.185 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 84.185 * * [simplify]: iters left: 6 (12 enodes) 84.193 * * [simplify]: iters left: 5 (51 enodes) 84.210 * * [simplify]: iters left: 4 (81 enodes) 84.233 * * [simplify]: iters left: 3 (135 enodes) 84.271 * * [simplify]: iters left: 2 (260 enodes) 84.340 * * [simplify]: iters left: 1 (494 enodes) 84.578 * * [simplify]: Extracting #0: cost 1 inf + 0 84.578 * * [simplify]: Extracting #1: cost 6 inf + 0 84.578 * * [simplify]: Extracting #2: cost 38 inf + 0 84.579 * * [simplify]: Extracting #3: cost 141 inf + 1 84.581 * * [simplify]: Extracting #4: cost 209 inf + 504 84.586 * * [simplify]: Extracting #5: cost 140 inf + 15530 84.605 * * [simplify]: Extracting #6: cost 12 inf + 68129 84.630 * * [simplify]: Extracting #7: cost 0 inf + 73304 84.655 * * [simplify]: Extracting #8: cost 0 inf + 72340 84.685 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (pow (* 2 PI) (- 1/4 (/ k 4)))) 84.685 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (/ (sqrt (cbrt k)) (pow (* 2 PI) (- 1/4 (/ k 4))))))) 84.685 * * * * [progress]: [ 99 / 463 ] simplifiying candidate # 84.685 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))) 84.686 * * [simplify]: iters left: 6 (9 enodes) 84.691 * * [simplify]: iters left: 5 (38 enodes) 84.705 * * [simplify]: iters left: 4 (61 enodes) 84.727 * * [simplify]: iters left: 3 (101 enodes) 84.766 * * [simplify]: iters left: 2 (195 enodes) 84.840 * * [simplify]: iters left: 1 (357 enodes) 84.992 * * [simplify]: Extracting #0: cost 1 inf + 0 84.992 * * [simplify]: Extracting #1: cost 6 inf + 0 84.992 * * [simplify]: Extracting #2: cost 38 inf + 0 84.993 * * [simplify]: Extracting #3: cost 118 inf + 2 84.995 * * [simplify]: Extracting #4: cost 169 inf + 296 84.997 * * [simplify]: Extracting #5: cost 140 inf + 2907 85.002 * * [simplify]: Extracting #6: cost 87 inf + 10499 85.012 * * [simplify]: Extracting #7: cost 35 inf + 36428 85.030 * * [simplify]: Extracting #8: cost 1 inf + 61081 85.047 * * [simplify]: Extracting #9: cost 0 inf + 61077 85.068 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))) 85.068 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 85.069 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2))) 85.069 * * [simplify]: iters left: 6 (10 enodes) 85.075 * * [simplify]: iters left: 5 (41 enodes) 85.089 * * [simplify]: iters left: 4 (64 enodes) 85.110 * * [simplify]: iters left: 3 (104 enodes) 85.148 * * [simplify]: iters left: 2 (198 enodes) 85.205 * * [simplify]: iters left: 1 (377 enodes) 85.332 * * [simplify]: Extracting #0: cost 1 inf + 0 85.332 * * [simplify]: Extracting #1: cost 6 inf + 0 85.333 * * [simplify]: Extracting #2: cost 39 inf + 0 85.333 * * [simplify]: Extracting #3: cost 126 inf + 2 85.334 * * [simplify]: Extracting #4: cost 186 inf + 296 85.335 * * [simplify]: Extracting #5: cost 156 inf + 5614 85.339 * * [simplify]: Extracting #6: cost 69 inf + 27398 85.350 * * [simplify]: Extracting #7: cost 11 inf + 61853 85.365 * * [simplify]: Extracting #8: cost 0 inf + 68047 85.377 * * [simplify]: Extracting #9: cost 0 inf + 67322 85.386 * * [simplify]: Extracting #10: cost 0 inf + 67070 85.400 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2))) 85.400 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 85.400 * * * * [progress]: [ 100 / 463 ] simplifiying candidate # 85.400 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 85.400 * * [simplify]: iters left: 6 (13 enodes) 85.404 * * [simplify]: iters left: 5 (53 enodes) 85.414 * * [simplify]: iters left: 4 (80 enodes) 85.430 * * [simplify]: iters left: 3 (111 enodes) 85.469 * * [simplify]: iters left: 2 (179 enodes) 85.523 * * [simplify]: iters left: 1 (343 enodes) 85.668 * * [simplify]: Extracting #0: cost 1 inf + 0 85.668 * * [simplify]: Extracting #1: cost 6 inf + 0 85.668 * * [simplify]: Extracting #2: cost 12 inf + 0 85.668 * * [simplify]: Extracting #3: cost 39 inf + 0 85.669 * * [simplify]: Extracting #4: cost 113 inf + 43 85.670 * * [simplify]: Extracting #5: cost 154 inf + 505 85.673 * * [simplify]: Extracting #6: cost 104 inf + 7168 85.691 * * [simplify]: Extracting #7: cost 21 inf + 45697 85.709 * * [simplify]: Extracting #8: cost 0 inf + 61433 85.727 * * [simplify]: Extracting #9: cost 0 inf + 59819 85.735 * * [simplify]: Extracting #10: cost 0 inf + 59608 85.744 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 85.744 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 85.745 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) 85.745 * * [simplify]: iters left: 6 (12 enodes) 85.749 * * [simplify]: iters left: 5 (48 enodes) 85.761 * * [simplify]: iters left: 4 (73 enodes) 85.785 * * [simplify]: iters left: 3 (104 enodes) 85.805 * * [simplify]: iters left: 2 (172 enodes) 85.858 * * [simplify]: iters left: 1 (329 enodes) 85.953 * * [simplify]: Extracting #0: cost 1 inf + 0 85.953 * * [simplify]: Extracting #1: cost 4 inf + 0 85.953 * * [simplify]: Extracting #2: cost 8 inf + 0 85.953 * * [simplify]: Extracting #3: cost 37 inf + 0 85.954 * * [simplify]: Extracting #4: cost 109 inf + 43 85.955 * * [simplify]: Extracting #5: cost 139 inf + 673 85.958 * * [simplify]: Extracting #6: cost 103 inf + 6128 85.963 * * [simplify]: Extracting #7: cost 59 inf + 14706 85.980 * * [simplify]: Extracting #8: cost 23 inf + 38603 85.997 * * [simplify]: Extracting #9: cost 2 inf + 56592 86.016 * * [simplify]: Extracting #10: cost 0 inf + 57685 86.035 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) 86.035 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 86.036 * * * * [progress]: [ 101 / 463 ] simplifiying candidate # 86.036 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 86.036 * * [simplify]: iters left: 6 (12 enodes) 86.043 * * [simplify]: iters left: 5 (48 enodes) 86.052 * * [simplify]: iters left: 4 (74 enodes) 86.066 * * [simplify]: iters left: 3 (109 enodes) 86.096 * * [simplify]: iters left: 2 (182 enodes) 86.164 * * [simplify]: iters left: 1 (345 enodes) 86.311 * * [simplify]: Extracting #0: cost 1 inf + 0 86.311 * * [simplify]: Extracting #1: cost 4 inf + 0 86.311 * * [simplify]: Extracting #2: cost 9 inf + 0 86.311 * * [simplify]: Extracting #3: cost 35 inf + 0 86.311 * * [simplify]: Extracting #4: cost 109 inf + 43 86.312 * * [simplify]: Extracting #5: cost 129 inf + 875 86.314 * * [simplify]: Extracting #6: cost 79 inf + 8745 86.319 * * [simplify]: Extracting #7: cost 24 inf + 36016 86.327 * * [simplify]: Extracting #8: cost 0 inf + 55113 86.335 * * [simplify]: Extracting #9: cost 0 inf + 54062 86.343 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 86.344 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 86.344 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 86.344 * * [simplify]: iters left: 6 (12 enodes) 86.348 * * [simplify]: iters left: 5 (48 enodes) 86.357 * * [simplify]: iters left: 4 (74 enodes) 86.371 * * [simplify]: iters left: 3 (109 enodes) 86.400 * * [simplify]: iters left: 2 (182 enodes) 86.468 * * [simplify]: iters left: 1 (345 enodes) 86.656 * * [simplify]: Extracting #0: cost 1 inf + 0 86.656 * * [simplify]: Extracting #1: cost 4 inf + 0 86.656 * * [simplify]: Extracting #2: cost 9 inf + 0 86.656 * * [simplify]: Extracting #3: cost 35 inf + 0 86.657 * * [simplify]: Extracting #4: cost 109 inf + 43 86.657 * * [simplify]: Extracting #5: cost 129 inf + 875 86.659 * * [simplify]: Extracting #6: cost 79 inf + 8745 86.665 * * [simplify]: Extracting #7: cost 24 inf + 36016 86.673 * * [simplify]: Extracting #8: cost 0 inf + 55113 86.682 * * [simplify]: Extracting #9: cost 0 inf + 54062 86.692 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 86.692 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 86.693 * * * * [progress]: [ 102 / 463 ] simplifiying candidate # 86.693 * [simplify]: Simplifying (/ (sqrt (sqrt k)) 1) 86.693 * * [simplify]: iters left: 4 (5 enodes) 86.696 * * [simplify]: iters left: 3 (15 enodes) 86.701 * * [simplify]: iters left: 2 (17 enodes) 86.706 * * [simplify]: Extracting #0: cost 1 inf + 0 86.706 * * [simplify]: Extracting #1: cost 4 inf + 0 86.706 * * [simplify]: Extracting #2: cost 5 inf + 1 86.706 * * [simplify]: Extracting #3: cost 4 inf + 2 86.706 * * [simplify]: Extracting #4: cost 1 inf + 165 86.706 * * [simplify]: Extracting #5: cost 0 inf + 246 86.706 * [simplify]: Simplified to (sqrt (sqrt k)) 86.706 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 86.707 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) 86.707 * * [simplify]: iters left: 6 (11 enodes) 86.713 * * [simplify]: iters left: 5 (45 enodes) 86.723 * * [simplify]: iters left: 4 (68 enodes) 86.734 * * [simplify]: iters left: 3 (108 enodes) 86.758 * * [simplify]: iters left: 2 (205 enodes) 86.826 * * [simplify]: iters left: 1 (384 enodes) 86.965 * * [simplify]: Extracting #0: cost 1 inf + 0 86.965 * * [simplify]: Extracting #1: cost 6 inf + 0 86.965 * * [simplify]: Extracting #2: cost 36 inf + 0 86.965 * * [simplify]: Extracting #3: cost 122 inf + 1 86.966 * * [simplify]: Extracting #4: cost 155 inf + 752 86.969 * * [simplify]: Extracting #5: cost 86 inf + 25726 86.978 * * [simplify]: Extracting #6: cost 12 inf + 62584 86.989 * * [simplify]: Extracting #7: cost 0 inf + 68056 86.999 * * [simplify]: Extracting #8: cost 0 inf + 67804 87.010 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))) 87.010 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k))))))) 87.010 * * * * [progress]: [ 103 / 463 ] simplifiying candidate # 87.010 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 87.010 * * [simplify]: iters left: 6 (12 enodes) 87.014 * * [simplify]: iters left: 5 (51 enodes) 87.024 * * [simplify]: iters left: 4 (81 enodes) 87.040 * * [simplify]: iters left: 3 (135 enodes) 87.077 * * [simplify]: iters left: 2 (260 enodes) 87.163 * * [simplify]: iters left: 1 (494 enodes) 87.432 * * [simplify]: Extracting #0: cost 1 inf + 0 87.433 * * [simplify]: Extracting #1: cost 6 inf + 0 87.433 * * [simplify]: Extracting #2: cost 38 inf + 0 87.434 * * [simplify]: Extracting #3: cost 141 inf + 1 87.435 * * [simplify]: Extracting #4: cost 209 inf + 384 87.441 * * [simplify]: Extracting #5: cost 140 inf + 15210 87.458 * * [simplify]: Extracting #6: cost 12 inf + 67249 87.473 * * [simplify]: Extracting #7: cost 0 inf + 72304 87.486 * * [simplify]: Extracting #8: cost 0 inf + 71340 87.499 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 PI) (- 1/4 (/ k 4)))) 87.499 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (sqrt (sqrt k)) (pow (* 2 PI) (- 1/4 (/ k 4)))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 87.499 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 87.499 * * [simplify]: iters left: 6 (12 enodes) 87.505 * * [simplify]: iters left: 5 (51 enodes) 87.522 * * [simplify]: iters left: 4 (81 enodes) 87.550 * * [simplify]: iters left: 3 (135 enodes) 87.583 * * [simplify]: iters left: 2 (260 enodes) 87.664 * * [simplify]: iters left: 1 (494 enodes) 87.894 * * [simplify]: Extracting #0: cost 1 inf + 0 87.894 * * [simplify]: Extracting #1: cost 6 inf + 0 87.894 * * [simplify]: Extracting #2: cost 38 inf + 0 87.895 * * [simplify]: Extracting #3: cost 141 inf + 1 87.896 * * [simplify]: Extracting #4: cost 209 inf + 384 87.901 * * [simplify]: Extracting #5: cost 140 inf + 15210 87.912 * * [simplify]: Extracting #6: cost 12 inf + 67249 87.924 * * [simplify]: Extracting #7: cost 0 inf + 72304 87.936 * * [simplify]: Extracting #8: cost 0 inf + 71340 87.959 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 PI) (- 1/4 (/ k 4)))) 87.960 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (- 1/4 (/ k 4))))))) 87.960 * * * * [progress]: [ 104 / 463 ] simplifiying candidate # 87.960 * [simplify]: Simplifying (/ (sqrt 1) (pow 2 (/ (- 1 k) 2))) 87.960 * * [simplify]: iters left: 6 (8 enodes) 87.966 * * [simplify]: iters left: 5 (35 enodes) 87.982 * * [simplify]: iters left: 4 (58 enodes) 88.001 * * [simplify]: iters left: 3 (95 enodes) 88.037 * * [simplify]: iters left: 2 (187 enodes) 88.098 * * [simplify]: iters left: 1 (356 enodes) 88.229 * * [simplify]: Extracting #0: cost 1 inf + 0 88.229 * * [simplify]: Extracting #1: cost 6 inf + 0 88.229 * * [simplify]: Extracting #2: cost 32 inf + 1 88.230 * * [simplify]: Extracting #3: cost 119 inf + 3 88.230 * * [simplify]: Extracting #4: cost 168 inf + 8 88.231 * * [simplify]: Extracting #5: cost 167 inf + 640 88.234 * * [simplify]: Extracting #6: cost 87 inf + 21407 88.247 * * [simplify]: Extracting #7: cost 13 inf + 58506 88.267 * * [simplify]: Extracting #8: cost 0 inf + 61597 88.289 * * [simplify]: Extracting #9: cost 0 inf + 60658 88.299 * [simplify]: Simplified to (/ 1 (pow 2 (* 1/2 (- 1 k)))) 88.300 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ 1 (pow 2 (* 1/2 (- 1 k)))) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 88.300 * [simplify]: Simplifying (/ (sqrt k) (pow PI (/ (- 1 k) 2))) 88.300 * * [simplify]: iters left: 6 (9 enodes) 88.305 * * [simplify]: iters left: 5 (38 enodes) 88.313 * * [simplify]: iters left: 4 (61 enodes) 88.329 * * [simplify]: iters left: 3 (101 enodes) 88.352 * * [simplify]: iters left: 2 (195 enodes) 88.414 * * [simplify]: iters left: 1 (362 enodes) 88.524 * * [simplify]: Extracting #0: cost 1 inf + 0 88.524 * * [simplify]: Extracting #1: cost 6 inf + 0 88.525 * * [simplify]: Extracting #2: cost 39 inf + 0 88.525 * * [simplify]: Extracting #3: cost 117 inf + 44 88.527 * * [simplify]: Extracting #4: cost 171 inf + 135 88.529 * * [simplify]: Extracting #5: cost 142 inf + 3046 88.535 * * [simplify]: Extracting #6: cost 72 inf + 16109 88.548 * * [simplify]: Extracting #7: cost 17 inf + 48084 88.562 * * [simplify]: Extracting #8: cost 0 inf + 62866 88.571 * * [simplify]: Extracting #9: cost 0 inf + 62600 88.583 * [simplify]: Simplified to (/ (sqrt k) (pow PI (/ (- 1 k) 2))) 88.583 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (sqrt 1) (pow 2 (/ (- 1 k) 2))) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 88.583 * * * * [progress]: [ 105 / 463 ] simplifiying candidate # 88.587 * [simplify]: Simplifying (/ (sqrt 1) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 88.587 * * [simplify]: iters left: 6 (12 enodes) 88.595 * * [simplify]: iters left: 5 (50 enodes) 88.607 * * [simplify]: iters left: 4 (76 enodes) 88.620 * * [simplify]: iters left: 3 (111 enodes) 88.651 * * [simplify]: iters left: 2 (197 enodes) 88.693 * * [simplify]: iters left: 1 (358 enodes) 88.841 * * [simplify]: Extracting #0: cost 1 inf + 0 88.841 * * [simplify]: Extracting #1: cost 7 inf + 0 88.842 * * [simplify]: Extracting #2: cost 11 inf + 1 88.842 * * [simplify]: Extracting #3: cost 33 inf + 1 88.842 * * [simplify]: Extracting #4: cost 109 inf + 2 88.842 * * [simplify]: Extracting #5: cost 166 inf + 50 88.843 * * [simplify]: Extracting #6: cost 165 inf + 268 88.845 * * [simplify]: Extracting #7: cost 103 inf + 10250 88.851 * * [simplify]: Extracting #8: cost 30 inf + 37754 88.860 * * [simplify]: Extracting #9: cost 1 inf + 61896 88.881 * * [simplify]: Extracting #10: cost 0 inf + 60851 88.900 * [simplify]: Simplified to (/ 1 (* (cbrt (pow (* 2 PI) (* 1/2 (- 1 k)))) (cbrt (pow (* 2 PI) (* 1/2 (- 1 k)))))) 88.900 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ 1 (* (cbrt (pow (* 2 PI) (* 1/2 (- 1 k)))) (cbrt (pow (* 2 PI) (* 1/2 (- 1 k)))))) (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 88.901 * [simplify]: Simplifying (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) 88.901 * * [simplify]: iters left: 6 (11 enodes) 88.907 * * [simplify]: iters left: 5 (45 enodes) 88.922 * * [simplify]: iters left: 4 (66 enodes) 88.944 * * [simplify]: iters left: 3 (102 enodes) 88.983 * * [simplify]: iters left: 2 (193 enodes) 89.048 * * [simplify]: iters left: 1 (356 enodes) 89.201 * * [simplify]: Extracting #0: cost 1 inf + 0 89.201 * * [simplify]: Extracting #1: cost 4 inf + 0 89.202 * * [simplify]: Extracting #2: cost 8 inf + 0 89.202 * * [simplify]: Extracting #3: cost 33 inf + 1 89.202 * * [simplify]: Extracting #4: cost 103 inf + 84 89.203 * * [simplify]: Extracting #5: cost 153 inf + 133 89.205 * * [simplify]: Extracting #6: cost 138 inf + 1344 89.209 * * [simplify]: Extracting #7: cost 72 inf + 11699 89.222 * * [simplify]: Extracting #8: cost 25 inf + 40459 89.240 * * [simplify]: Extracting #9: cost 0 inf + 60745 89.258 * * [simplify]: Extracting #10: cost 0 inf + 59914 89.280 * [simplify]: Simplified to (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) 89.280 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (sqrt 1) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 89.281 * * * * [progress]: [ 106 / 463 ] simplifiying candidate # 89.281 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 89.281 * * [simplify]: iters left: 6 (11 enodes) 89.288 * * [simplify]: iters left: 5 (45 enodes) 89.303 * * [simplify]: iters left: 4 (67 enodes) 89.324 * * [simplify]: iters left: 3 (103 enodes) 89.361 * * [simplify]: iters left: 2 (191 enodes) 89.434 * * [simplify]: iters left: 1 (343 enodes) 89.595 * * [simplify]: Extracting #0: cost 1 inf + 0 89.596 * * [simplify]: Extracting #1: cost 4 inf + 0 89.596 * * [simplify]: Extracting #2: cost 6 inf + 1 89.596 * * [simplify]: Extracting #3: cost 37 inf + 1 89.596 * * [simplify]: Extracting #4: cost 115 inf + 2 89.597 * * [simplify]: Extracting #5: cost 152 inf + 51 89.597 * * [simplify]: Extracting #6: cost 150 inf + 182 89.599 * * [simplify]: Extracting #7: cost 97 inf + 6343 89.603 * * [simplify]: Extracting #8: cost 45 inf + 27404 89.612 * * [simplify]: Extracting #9: cost 2 inf + 59343 89.621 * * [simplify]: Extracting #10: cost 0 inf + 60723 89.630 * [simplify]: Simplified to (/ 1 (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 89.630 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ 1 (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 89.630 * [simplify]: Simplifying (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 89.630 * * [simplify]: iters left: 6 (11 enodes) 89.633 * * [simplify]: iters left: 5 (45 enodes) 89.641 * * [simplify]: iters left: 4 (67 enodes) 89.657 * * [simplify]: iters left: 3 (103 enodes) 89.681 * * [simplify]: iters left: 2 (191 enodes) 89.747 * * [simplify]: iters left: 1 (343 enodes) 89.847 * * [simplify]: Extracting #0: cost 1 inf + 0 89.847 * * [simplify]: Extracting #1: cost 4 inf + 0 89.847 * * [simplify]: Extracting #2: cost 9 inf + 0 89.847 * * [simplify]: Extracting #3: cost 39 inf + 1 89.847 * * [simplify]: Extracting #4: cost 117 inf + 43 89.848 * * [simplify]: Extracting #5: cost 149 inf + 258 89.849 * * [simplify]: Extracting #6: cost 115 inf + 4374 89.852 * * [simplify]: Extracting #7: cost 50 inf + 24889 89.860 * * [simplify]: Extracting #8: cost 7 inf + 56091 89.874 * * [simplify]: Extracting #9: cost 0 inf + 61956 89.892 * * [simplify]: Extracting #10: cost 0 inf + 61836 89.911 * [simplify]: Simplified to (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 89.911 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ 1 (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 89.912 * * * * [progress]: [ 107 / 463 ] simplifiying candidate # 89.912 * [simplify]: Simplifying (/ (sqrt 1) 1) 89.912 * * [simplify]: iters left: 3 (3 enodes) 89.916 * * [simplify]: iters left: 2 (9 enodes) 89.919 * * [simplify]: iters left: 1 (11 enodes) 89.922 * * [simplify]: Extracting #0: cost 1 inf + 0 89.922 * * [simplify]: Extracting #1: cost 0 inf + 1 89.922 * [simplify]: Simplified to 1 89.922 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* 1 (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 89.923 * [simplify]: Simplifying (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))) 89.923 * * [simplify]: iters left: 6 (10 enodes) 89.929 * * [simplify]: iters left: 5 (42 enodes) 89.943 * * [simplify]: iters left: 4 (65 enodes) 89.968 * * [simplify]: iters left: 3 (102 enodes) 89.999 * * [simplify]: iters left: 2 (194 enodes) 90.049 * * [simplify]: iters left: 1 (367 enodes) 90.188 * * [simplify]: Extracting #0: cost 1 inf + 0 90.188 * * [simplify]: Extracting #1: cost 6 inf + 0 90.188 * * [simplify]: Extracting #2: cost 40 inf + 0 90.189 * * [simplify]: Extracting #3: cost 120 inf + 84 90.190 * * [simplify]: Extracting #4: cost 153 inf + 465 90.195 * * [simplify]: Extracting #5: cost 92 inf + 15289 90.208 * * [simplify]: Extracting #6: cost 21 inf + 48335 90.230 * * [simplify]: Extracting #7: cost 0 inf + 64786 90.251 * * [simplify]: Extracting #8: cost 0 inf + 64091 90.272 * [simplify]: Simplified to (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2)))) 90.272 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* 1 (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2))))))) 90.272 * * * * [progress]: [ 108 / 463 ] simplifiying candidate # 90.273 * [simplify]: Simplifying (/ (sqrt 1) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 90.273 * * [simplify]: iters left: 6 (11 enodes) 90.281 * * [simplify]: iters left: 5 (48 enodes) 90.297 * * [simplify]: iters left: 4 (75 enodes) 90.326 * * [simplify]: iters left: 3 (122 enodes) 90.367 * * [simplify]: iters left: 2 (231 enodes) 90.429 * * [simplify]: iters left: 1 (460 enodes) 90.599 * * [simplify]: Extracting #0: cost 1 inf + 0 90.599 * * [simplify]: Extracting #1: cost 6 inf + 0 90.600 * * [simplify]: Extracting #2: cost 37 inf + 1 90.605 * * [simplify]: Extracting #3: cost 133 inf + 2 90.606 * * [simplify]: Extracting #4: cost 189 inf + 53 90.608 * * [simplify]: Extracting #5: cost 164 inf + 4166 90.612 * * [simplify]: Extracting #6: cost 61 inf + 30549 90.622 * * [simplify]: Extracting #7: cost 8 inf + 65876 90.633 * * [simplify]: Extracting #8: cost 0 inf + 68225 90.647 * * [simplify]: Extracting #9: cost 0 inf + 67974 90.670 * [simplify]: Simplified to (/ 1 (pow (* 2 PI) (/ (- 1 k) 4))) 90.670 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ 1 (pow (* 2 PI) (/ (- 1 k) 4))) (/ (sqrt k) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 90.671 * [simplify]: Simplifying (/ (sqrt k) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 90.671 * * [simplify]: iters left: 6 (11 enodes) 90.678 * * [simplify]: iters left: 5 (48 enodes) 90.694 * * [simplify]: iters left: 4 (75 enodes) 90.720 * * [simplify]: iters left: 3 (122 enodes) 90.752 * * [simplify]: iters left: 2 (231 enodes) 90.801 * * [simplify]: iters left: 1 (460 enodes) 90.973 * * [simplify]: Extracting #0: cost 1 inf + 0 90.973 * * [simplify]: Extracting #1: cost 6 inf + 0 90.973 * * [simplify]: Extracting #2: cost 40 inf + 0 90.974 * * [simplify]: Extracting #3: cost 135 inf + 43 90.979 * * [simplify]: Extracting #4: cost 174 inf + 1748 90.987 * * [simplify]: Extracting #5: cost 80 inf + 37210 90.998 * * [simplify]: Extracting #6: cost 6 inf + 67290 91.009 * * [simplify]: Extracting #7: cost 0 inf + 69531 91.023 * * [simplify]: Extracting #8: cost 0 inf + 68921 91.046 * * [simplify]: Extracting #9: cost 0 inf + 68163 91.066 * * [simplify]: Extracting #10: cost 0 inf + 67993 91.077 * [simplify]: Simplified to (/ (sqrt k) (pow (* 2 PI) (- 1/4 (/ k 4)))) 91.078 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (sqrt 1) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (/ (sqrt k) (pow (* 2 PI) (- 1/4 (/ k 4))))))) 91.078 * * * * [progress]: [ 109 / 463 ] simplifiying candidate # 91.079 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))) 91.079 * * [simplify]: iters left: 6 (9 enodes) 91.082 * * [simplify]: iters left: 5 (38 enodes) 91.090 * * [simplify]: iters left: 4 (61 enodes) 91.107 * * [simplify]: iters left: 3 (101 enodes) 91.146 * * [simplify]: iters left: 2 (195 enodes) 91.213 * * [simplify]: iters left: 1 (357 enodes) 91.324 * * [simplify]: Extracting #0: cost 1 inf + 0 91.324 * * [simplify]: Extracting #1: cost 6 inf + 0 91.324 * * [simplify]: Extracting #2: cost 38 inf + 0 91.324 * * [simplify]: Extracting #3: cost 118 inf + 2 91.326 * * [simplify]: Extracting #4: cost 169 inf + 296 91.328 * * [simplify]: Extracting #5: cost 140 inf + 2907 91.333 * * [simplify]: Extracting #6: cost 87 inf + 10499 91.343 * * [simplify]: Extracting #7: cost 35 inf + 36428 91.359 * * [simplify]: Extracting #8: cost 1 inf + 61081 91.376 * * [simplify]: Extracting #9: cost 0 inf + 61077 91.394 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))) 91.394 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 91.395 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2))) 91.395 * * [simplify]: iters left: 6 (10 enodes) 91.401 * * [simplify]: iters left: 5 (41 enodes) 91.418 * * [simplify]: iters left: 4 (64 enodes) 91.440 * * [simplify]: iters left: 3 (104 enodes) 91.479 * * [simplify]: iters left: 2 (198 enodes) 91.535 * * [simplify]: iters left: 1 (377 enodes) 91.728 * * [simplify]: Extracting #0: cost 1 inf + 0 91.728 * * [simplify]: Extracting #1: cost 6 inf + 0 91.728 * * [simplify]: Extracting #2: cost 39 inf + 0 91.729 * * [simplify]: Extracting #3: cost 126 inf + 2 91.730 * * [simplify]: Extracting #4: cost 186 inf + 296 91.733 * * [simplify]: Extracting #5: cost 156 inf + 5614 91.741 * * [simplify]: Extracting #6: cost 69 inf + 27398 91.757 * * [simplify]: Extracting #7: cost 11 inf + 61853 91.776 * * [simplify]: Extracting #8: cost 0 inf + 68047 91.795 * * [simplify]: Extracting #9: cost 0 inf + 67322 91.818 * * [simplify]: Extracting #10: cost 0 inf + 67070 91.837 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2))) 91.837 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 91.837 * * * * [progress]: [ 110 / 463 ] simplifiying candidate # 91.837 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 91.837 * * [simplify]: iters left: 6 (13 enodes) 91.845 * * [simplify]: iters left: 5 (53 enodes) 91.862 * * [simplify]: iters left: 4 (80 enodes) 91.882 * * [simplify]: iters left: 3 (111 enodes) 91.902 * * [simplify]: iters left: 2 (179 enodes) 91.956 * * [simplify]: iters left: 1 (343 enodes) 92.104 * * [simplify]: Extracting #0: cost 1 inf + 0 92.104 * * [simplify]: Extracting #1: cost 6 inf + 0 92.104 * * [simplify]: Extracting #2: cost 12 inf + 0 92.104 * * [simplify]: Extracting #3: cost 39 inf + 0 92.104 * * [simplify]: Extracting #4: cost 113 inf + 43 92.105 * * [simplify]: Extracting #5: cost 154 inf + 505 92.107 * * [simplify]: Extracting #6: cost 104 inf + 7168 92.114 * * [simplify]: Extracting #7: cost 21 inf + 45697 92.131 * * [simplify]: Extracting #8: cost 0 inf + 61433 92.149 * * [simplify]: Extracting #9: cost 0 inf + 59819 92.167 * * [simplify]: Extracting #10: cost 0 inf + 59608 92.185 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 92.185 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 92.186 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) 92.186 * * [simplify]: iters left: 6 (12 enodes) 92.193 * * [simplify]: iters left: 5 (48 enodes) 92.209 * * [simplify]: iters left: 4 (73 enodes) 92.229 * * [simplify]: iters left: 3 (104 enodes) 92.247 * * [simplify]: iters left: 2 (172 enodes) 92.291 * * [simplify]: iters left: 1 (329 enodes) 92.408 * * [simplify]: Extracting #0: cost 1 inf + 0 92.408 * * [simplify]: Extracting #1: cost 4 inf + 0 92.408 * * [simplify]: Extracting #2: cost 8 inf + 0 92.408 * * [simplify]: Extracting #3: cost 37 inf + 0 92.409 * * [simplify]: Extracting #4: cost 109 inf + 43 92.409 * * [simplify]: Extracting #5: cost 139 inf + 673 92.411 * * [simplify]: Extracting #6: cost 103 inf + 6128 92.413 * * [simplify]: Extracting #7: cost 59 inf + 14706 92.419 * * [simplify]: Extracting #8: cost 23 inf + 38603 92.439 * * [simplify]: Extracting #9: cost 2 inf + 56592 92.454 * * [simplify]: Extracting #10: cost 0 inf + 57685 92.463 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) 92.463 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 92.464 * * * * [progress]: [ 111 / 463 ] simplifiying candidate # 92.464 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 92.464 * * [simplify]: iters left: 6 (12 enodes) 92.467 * * [simplify]: iters left: 5 (48 enodes) 92.476 * * [simplify]: iters left: 4 (74 enodes) 92.493 * * [simplify]: iters left: 3 (109 enodes) 92.512 * * [simplify]: iters left: 2 (182 enodes) 92.564 * * [simplify]: iters left: 1 (345 enodes) 92.722 * * [simplify]: Extracting #0: cost 1 inf + 0 92.722 * * [simplify]: Extracting #1: cost 4 inf + 0 92.722 * * [simplify]: Extracting #2: cost 9 inf + 0 92.722 * * [simplify]: Extracting #3: cost 35 inf + 0 92.723 * * [simplify]: Extracting #4: cost 109 inf + 43 92.724 * * [simplify]: Extracting #5: cost 129 inf + 875 92.727 * * [simplify]: Extracting #6: cost 79 inf + 8745 92.740 * * [simplify]: Extracting #7: cost 24 inf + 36016 92.754 * * [simplify]: Extracting #8: cost 0 inf + 55113 92.770 * * [simplify]: Extracting #9: cost 0 inf + 54062 92.787 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 92.787 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 92.787 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 92.787 * * [simplify]: iters left: 6 (12 enodes) 92.793 * * [simplify]: iters left: 5 (48 enodes) 92.807 * * [simplify]: iters left: 4 (74 enodes) 92.820 * * [simplify]: iters left: 3 (109 enodes) 92.844 * * [simplify]: iters left: 2 (182 enodes) 92.907 * * [simplify]: iters left: 1 (345 enodes) 93.012 * * [simplify]: Extracting #0: cost 1 inf + 0 93.012 * * [simplify]: Extracting #1: cost 4 inf + 0 93.012 * * [simplify]: Extracting #2: cost 9 inf + 0 93.012 * * [simplify]: Extracting #3: cost 35 inf + 0 93.013 * * [simplify]: Extracting #4: cost 109 inf + 43 93.013 * * [simplify]: Extracting #5: cost 129 inf + 875 93.019 * * [simplify]: Extracting #6: cost 79 inf + 8745 93.025 * * [simplify]: Extracting #7: cost 24 inf + 36016 93.033 * * [simplify]: Extracting #8: cost 0 inf + 55113 93.045 * * [simplify]: Extracting #9: cost 0 inf + 54062 93.057 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 93.057 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 93.057 * * * * [progress]: [ 112 / 463 ] simplifiying candidate # 93.057 * [simplify]: Simplifying (/ (sqrt (sqrt k)) 1) 93.057 * * [simplify]: iters left: 4 (5 enodes) 93.059 * * [simplify]: iters left: 3 (15 enodes) 93.062 * * [simplify]: iters left: 2 (17 enodes) 93.064 * * [simplify]: Extracting #0: cost 1 inf + 0 93.064 * * [simplify]: Extracting #1: cost 4 inf + 0 93.064 * * [simplify]: Extracting #2: cost 5 inf + 1 93.064 * * [simplify]: Extracting #3: cost 4 inf + 2 93.064 * * [simplify]: Extracting #4: cost 1 inf + 165 93.064 * * [simplify]: Extracting #5: cost 0 inf + 246 93.064 * [simplify]: Simplified to (sqrt (sqrt k)) 93.064 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 93.065 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) 93.065 * * [simplify]: iters left: 6 (11 enodes) 93.068 * * [simplify]: iters left: 5 (45 enodes) 93.076 * * [simplify]: iters left: 4 (68 enodes) 93.093 * * [simplify]: iters left: 3 (108 enodes) 93.137 * * [simplify]: iters left: 2 (205 enodes) 93.187 * * [simplify]: iters left: 1 (384 enodes) 93.304 * * [simplify]: Extracting #0: cost 1 inf + 0 93.304 * * [simplify]: Extracting #1: cost 6 inf + 0 93.304 * * [simplify]: Extracting #2: cost 36 inf + 0 93.304 * * [simplify]: Extracting #3: cost 122 inf + 1 93.305 * * [simplify]: Extracting #4: cost 155 inf + 752 93.308 * * [simplify]: Extracting #5: cost 86 inf + 25726 93.317 * * [simplify]: Extracting #6: cost 12 inf + 62584 93.333 * * [simplify]: Extracting #7: cost 0 inf + 68056 93.351 * * [simplify]: Extracting #8: cost 0 inf + 67804 93.362 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))) 93.362 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k))))))) 93.362 * * * * [progress]: [ 113 / 463 ] simplifiying candidate # 93.362 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 93.362 * * [simplify]: iters left: 6 (12 enodes) 93.366 * * [simplify]: iters left: 5 (51 enodes) 93.376 * * [simplify]: iters left: 4 (81 enodes) 93.396 * * [simplify]: iters left: 3 (135 enodes) 93.427 * * [simplify]: iters left: 2 (260 enodes) 93.488 * * [simplify]: iters left: 1 (494 enodes) 93.684 * * [simplify]: Extracting #0: cost 1 inf + 0 93.684 * * [simplify]: Extracting #1: cost 6 inf + 0 93.685 * * [simplify]: Extracting #2: cost 38 inf + 0 93.685 * * [simplify]: Extracting #3: cost 141 inf + 1 93.686 * * [simplify]: Extracting #4: cost 209 inf + 384 93.689 * * [simplify]: Extracting #5: cost 140 inf + 15210 93.705 * * [simplify]: Extracting #6: cost 12 inf + 67249 93.717 * * [simplify]: Extracting #7: cost 0 inf + 72304 93.733 * * [simplify]: Extracting #8: cost 0 inf + 71340 93.751 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 PI) (- 1/4 (/ k 4)))) 93.751 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (sqrt (sqrt k)) (pow (* 2 PI) (- 1/4 (/ k 4)))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 93.751 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 93.751 * * [simplify]: iters left: 6 (12 enodes) 93.755 * * [simplify]: iters left: 5 (51 enodes) 93.764 * * [simplify]: iters left: 4 (81 enodes) 93.778 * * [simplify]: iters left: 3 (135 enodes) 93.813 * * [simplify]: iters left: 2 (260 enodes) 93.895 * * [simplify]: iters left: 1 (494 enodes) 94.151 * * [simplify]: Extracting #0: cost 1 inf + 0 94.151 * * [simplify]: Extracting #1: cost 6 inf + 0 94.151 * * [simplify]: Extracting #2: cost 38 inf + 0 94.151 * * [simplify]: Extracting #3: cost 141 inf + 1 94.152 * * [simplify]: Extracting #4: cost 209 inf + 384 94.155 * * [simplify]: Extracting #5: cost 140 inf + 15210 94.166 * * [simplify]: Extracting #6: cost 12 inf + 67249 94.178 * * [simplify]: Extracting #7: cost 0 inf + 72304 94.200 * * [simplify]: Extracting #8: cost 0 inf + 71340 94.212 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 PI) (- 1/4 (/ k 4)))) 94.212 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (- 1/4 (/ k 4))))))) 94.212 * * * * [progress]: [ 114 / 463 ] simplifiying candidate # 94.212 * [simplify]: Simplifying (/ 1 (pow 2 (/ (- 1 k) 2))) 94.212 * * [simplify]: iters left: 6 (7 enodes) 94.215 * * [simplify]: iters left: 5 (32 enodes) 94.221 * * [simplify]: iters left: 4 (55 enodes) 94.239 * * [simplify]: iters left: 3 (92 enodes) 94.258 * * [simplify]: iters left: 2 (184 enodes) 94.321 * * [simplify]: iters left: 1 (350 enodes) 94.483 * * [simplify]: Extracting #0: cost 1 inf + 0 94.483 * * [simplify]: Extracting #1: cost 6 inf + 0 94.483 * * [simplify]: Extracting #2: cost 36 inf + 1 94.483 * * [simplify]: Extracting #3: cost 112 inf + 3 94.484 * * [simplify]: Extracting #4: cost 158 inf + 8 94.484 * * [simplify]: Extracting #5: cost 156 inf + 99 94.486 * * [simplify]: Extracting #6: cost 114 inf + 4130 94.488 * * [simplify]: Extracting #7: cost 67 inf + 16247 94.496 * * [simplify]: Extracting #8: cost 19 inf + 47781 94.514 * * [simplify]: Extracting #9: cost 0 inf + 61493 94.532 * * [simplify]: Extracting #10: cost 0 inf + 61413 94.549 * [simplify]: Simplified to (/ 1 (pow 2 (- 1/2 (/ k 2)))) 94.550 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ 1 (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 94.550 * [simplify]: Simplifying (/ (sqrt k) (pow PI (/ (- 1 k) 2))) 94.550 * * [simplify]: iters left: 6 (9 enodes) 94.555 * * [simplify]: iters left: 5 (38 enodes) 94.562 * * [simplify]: iters left: 4 (61 enodes) 94.573 * * [simplify]: iters left: 3 (101 enodes) 94.606 * * [simplify]: iters left: 2 (195 enodes) 94.673 * * [simplify]: iters left: 1 (362 enodes) 94.823 * * [simplify]: Extracting #0: cost 1 inf + 0 94.823 * * [simplify]: Extracting #1: cost 6 inf + 0 94.823 * * [simplify]: Extracting #2: cost 39 inf + 0 94.824 * * [simplify]: Extracting #3: cost 117 inf + 44 94.824 * * [simplify]: Extracting #4: cost 171 inf + 135 94.826 * * [simplify]: Extracting #5: cost 142 inf + 3046 94.829 * * [simplify]: Extracting #6: cost 72 inf + 16109 94.835 * * [simplify]: Extracting #7: cost 17 inf + 48084 94.844 * * [simplify]: Extracting #8: cost 0 inf + 62866 94.857 * * [simplify]: Extracting #9: cost 0 inf + 62600 94.875 * [simplify]: Simplified to (/ (sqrt k) (pow PI (/ (- 1 k) 2))) 94.875 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ 1 (pow 2 (/ (- 1 k) 2))) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 94.875 * * * * [progress]: [ 115 / 463 ] simplifiying candidate # 94.876 * [simplify]: Simplifying (/ 1 (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 94.876 * * [simplify]: iters left: 6 (11 enodes) 94.880 * * [simplify]: iters left: 5 (47 enodes) 94.888 * * [simplify]: iters left: 4 (70 enodes) 94.901 * * [simplify]: iters left: 3 (106 enodes) 94.938 * * [simplify]: iters left: 2 (194 enodes) 94.982 * * [simplify]: iters left: 1 (347 enodes) 95.108 * * [simplify]: Extracting #0: cost 1 inf + 0 95.108 * * [simplify]: Extracting #1: cost 6 inf + 0 95.108 * * [simplify]: Extracting #2: cost 9 inf + 1 95.109 * * [simplify]: Extracting #3: cost 34 inf + 1 95.109 * * [simplify]: Extracting #4: cost 99 inf + 2 95.110 * * [simplify]: Extracting #5: cost 151 inf + 50 95.110 * * [simplify]: Extracting #6: cost 149 inf + 307 95.111 * * [simplify]: Extracting #7: cost 115 inf + 4004 95.114 * * [simplify]: Extracting #8: cost 55 inf + 17543 95.127 * * [simplify]: Extracting #9: cost 5 inf + 54070 95.145 * * [simplify]: Extracting #10: cost 0 inf + 58397 95.164 * [simplify]: Simplified to (/ 1 (* (cbrt (pow (* PI 2) (- 1/2 (/ k 2)))) (cbrt (pow (* PI 2) (- 1/2 (/ k 2)))))) 95.164 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ 1 (* (cbrt (pow (* PI 2) (- 1/2 (/ k 2)))) (cbrt (pow (* PI 2) (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 95.164 * [simplify]: Simplifying (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) 95.164 * * [simplify]: iters left: 6 (11 enodes) 95.171 * * [simplify]: iters left: 5 (45 enodes) 95.186 * * [simplify]: iters left: 4 (66 enodes) 95.205 * * [simplify]: iters left: 3 (102 enodes) 95.228 * * [simplify]: iters left: 2 (193 enodes) 95.270 * * [simplify]: iters left: 1 (356 enodes) 95.401 * * [simplify]: Extracting #0: cost 1 inf + 0 95.401 * * [simplify]: Extracting #1: cost 4 inf + 0 95.402 * * [simplify]: Extracting #2: cost 8 inf + 0 95.402 * * [simplify]: Extracting #3: cost 33 inf + 1 95.402 * * [simplify]: Extracting #4: cost 103 inf + 84 95.403 * * [simplify]: Extracting #5: cost 153 inf + 133 95.405 * * [simplify]: Extracting #6: cost 138 inf + 1344 95.409 * * [simplify]: Extracting #7: cost 72 inf + 11699 95.420 * * [simplify]: Extracting #8: cost 25 inf + 40459 95.439 * * [simplify]: Extracting #9: cost 0 inf + 60745 95.449 * * [simplify]: Extracting #10: cost 0 inf + 59914 95.458 * [simplify]: Simplified to (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) 95.458 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ 1 (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 95.458 * * * * [progress]: [ 116 / 463 ] simplifiying candidate # 95.458 * [simplify]: Simplifying (/ 1 (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 95.459 * * [simplify]: iters left: 6 (10 enodes) 95.462 * * [simplify]: iters left: 5 (42 enodes) 95.470 * * [simplify]: iters left: 4 (64 enodes) 95.487 * * [simplify]: iters left: 3 (97 enodes) 95.517 * * [simplify]: iters left: 2 (183 enodes) 95.557 * * [simplify]: iters left: 1 (339 enodes) 95.666 * * [simplify]: Extracting #0: cost 1 inf + 0 95.666 * * [simplify]: Extracting #1: cost 4 inf + 0 95.666 * * [simplify]: Extracting #2: cost 6 inf + 1 95.666 * * [simplify]: Extracting #3: cost 35 inf + 1 95.667 * * [simplify]: Extracting #4: cost 111 inf + 2 95.668 * * [simplify]: Extracting #5: cost 137 inf + 93 95.669 * * [simplify]: Extracting #6: cost 139 inf + 182 95.671 * * [simplify]: Extracting #7: cost 102 inf + 4677 95.677 * * [simplify]: Extracting #8: cost 56 inf + 15547 95.689 * * [simplify]: Extracting #9: cost 13 inf + 43163 95.697 * * [simplify]: Extracting #10: cost 0 inf + 54311 95.705 * * [simplify]: Extracting #11: cost 0 inf + 54151 95.713 * [simplify]: Simplified to (/ 1 (sqrt (pow (* PI 2) (- 1/2 (/ k 2))))) 95.713 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ 1 (sqrt (pow (* PI 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 95.714 * [simplify]: Simplifying (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 95.714 * * [simplify]: iters left: 6 (11 enodes) 95.721 * * [simplify]: iters left: 5 (45 enodes) 95.736 * * [simplify]: iters left: 4 (67 enodes) 95.759 * * [simplify]: iters left: 3 (103 enodes) 95.781 * * [simplify]: iters left: 2 (191 enodes) 95.837 * * [simplify]: iters left: 1 (343 enodes) 95.962 * * [simplify]: Extracting #0: cost 1 inf + 0 95.962 * * [simplify]: Extracting #1: cost 4 inf + 0 95.962 * * [simplify]: Extracting #2: cost 9 inf + 0 95.962 * * [simplify]: Extracting #3: cost 39 inf + 1 95.963 * * [simplify]: Extracting #4: cost 117 inf + 43 95.964 * * [simplify]: Extracting #5: cost 149 inf + 258 95.966 * * [simplify]: Extracting #6: cost 115 inf + 4374 95.973 * * [simplify]: Extracting #7: cost 50 inf + 24889 95.989 * * [simplify]: Extracting #8: cost 7 inf + 56091 96.008 * * [simplify]: Extracting #9: cost 0 inf + 61956 96.031 * * [simplify]: Extracting #10: cost 0 inf + 61836 96.043 * [simplify]: Simplified to (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 96.043 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ 1 (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 96.043 * * * * [progress]: [ 117 / 463 ] simplifiying candidate # 96.044 * [simplify]: Simplifying (/ 1 1) 96.044 * * [simplify]: iters left: 2 (2 enodes) 96.045 * * [simplify]: iters left: 1 (6 enodes) 96.046 * * [simplify]: Extracting #0: cost 1 inf + 0 96.046 * * [simplify]: Extracting #1: cost 0 inf + 1 96.046 * [simplify]: Simplified to 1 96.046 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* 1 (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 96.046 * [simplify]: Simplifying (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))) 96.046 * * [simplify]: iters left: 6 (10 enodes) 96.049 * * [simplify]: iters left: 5 (42 enodes) 96.056 * * [simplify]: iters left: 4 (65 enodes) 96.068 * * [simplify]: iters left: 3 (102 enodes) 96.107 * * [simplify]: iters left: 2 (194 enodes) 96.183 * * [simplify]: iters left: 1 (367 enodes) 96.307 * * [simplify]: Extracting #0: cost 1 inf + 0 96.307 * * [simplify]: Extracting #1: cost 6 inf + 0 96.307 * * [simplify]: Extracting #2: cost 40 inf + 0 96.308 * * [simplify]: Extracting #3: cost 120 inf + 84 96.309 * * [simplify]: Extracting #4: cost 153 inf + 465 96.313 * * [simplify]: Extracting #5: cost 92 inf + 15289 96.327 * * [simplify]: Extracting #6: cost 21 inf + 48335 96.340 * * [simplify]: Extracting #7: cost 0 inf + 64786 96.354 * * [simplify]: Extracting #8: cost 0 inf + 64091 96.368 * [simplify]: Simplified to (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2)))) 96.369 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* 1 (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2))))))) 96.369 * * * * [progress]: [ 118 / 463 ] simplifiying candidate # 96.369 * [simplify]: Simplifying (/ 1 (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 96.369 * * [simplify]: iters left: 6 (10 enodes) 96.373 * * [simplify]: iters left: 5 (45 enodes) 96.381 * * [simplify]: iters left: 4 (72 enodes) 96.394 * * [simplify]: iters left: 3 (119 enodes) 96.426 * * [simplify]: iters left: 2 (230 enodes) 96.495 * * [simplify]: iters left: 1 (469 enodes) 96.698 * * [simplify]: Extracting #0: cost 1 inf + 0 96.698 * * [simplify]: Extracting #1: cost 6 inf + 0 96.699 * * [simplify]: Extracting #2: cost 37 inf + 1 96.699 * * [simplify]: Extracting #3: cost 133 inf + 2 96.701 * * [simplify]: Extracting #4: cost 193 inf + 53 96.704 * * [simplify]: Extracting #5: cost 170 inf + 3506 96.717 * * [simplify]: Extracting #6: cost 44 inf + 43959 96.730 * * [simplify]: Extracting #7: cost 0 inf + 68103 96.744 * * [simplify]: Extracting #8: cost 0 inf + 66889 96.762 * * [simplify]: Extracting #9: cost 0 inf + 66405 96.775 * [simplify]: Simplified to (/ 1 (pow (* PI 2) (- 1/4 (/ k 4)))) 96.775 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ 1 (pow (* PI 2) (- 1/4 (/ k 4)))) (/ (sqrt k) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 96.775 * [simplify]: Simplifying (/ (sqrt k) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 96.776 * * [simplify]: iters left: 6 (11 enodes) 96.779 * * [simplify]: iters left: 5 (48 enodes) 96.788 * * [simplify]: iters left: 4 (75 enodes) 96.809 * * [simplify]: iters left: 3 (122 enodes) 96.845 * * [simplify]: iters left: 2 (231 enodes) 96.897 * * [simplify]: iters left: 1 (460 enodes) 97.051 * * [simplify]: Extracting #0: cost 1 inf + 0 97.051 * * [simplify]: Extracting #1: cost 6 inf + 0 97.051 * * [simplify]: Extracting #2: cost 40 inf + 0 97.052 * * [simplify]: Extracting #3: cost 135 inf + 43 97.054 * * [simplify]: Extracting #4: cost 174 inf + 1748 97.063 * * [simplify]: Extracting #5: cost 80 inf + 37210 97.084 * * [simplify]: Extracting #6: cost 6 inf + 67290 97.112 * * [simplify]: Extracting #7: cost 0 inf + 69531 97.134 * * [simplify]: Extracting #8: cost 0 inf + 68921 97.146 * * [simplify]: Extracting #9: cost 0 inf + 68163 97.158 * * [simplify]: Extracting #10: cost 0 inf + 67993 97.170 * [simplify]: Simplified to (/ (sqrt k) (pow (* 2 PI) (- 1/4 (/ k 4)))) 97.170 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ 1 (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (/ (sqrt k) (pow (* 2 PI) (- 1/4 (/ k 4))))))) 97.170 * * * * [progress]: [ 119 / 463 ] simplifiying candidate # 97.170 * * * * [progress]: [ 120 / 463 ] simplifiying candidate # 97.170 * * * * [progress]: [ 121 / 463 ] simplifiying candidate # 97.170 * * * * [progress]: [ 122 / 463 ] simplifiying candidate # 97.171 * [simplify]: Simplifying (pow PI (/ (- 1 k) 2)) 97.171 * * [simplify]: iters left: 5 (7 enodes) 97.176 * * [simplify]: iters left: 4 (32 enodes) 97.188 * * [simplify]: iters left: 3 (57 enodes) 97.207 * * [simplify]: iters left: 2 (88 enodes) 97.240 * * [simplify]: iters left: 1 (156 enodes) 97.284 * * [simplify]: Extracting #0: cost 1 inf + 0 97.285 * * [simplify]: Extracting #1: cost 13 inf + 0 97.285 * * [simplify]: Extracting #2: cost 49 inf + 2 97.285 * * [simplify]: Extracting #3: cost 80 inf + 6 97.286 * * [simplify]: Extracting #4: cost 58 inf + 1840 97.287 * * [simplify]: Extracting #5: cost 22 inf + 9206 97.290 * * [simplify]: Extracting #6: cost 1 inf + 20886 97.293 * * [simplify]: Extracting #7: cost 0 inf + 21301 97.299 * * [simplify]: Extracting #8: cost 0 inf + 21130 97.305 * [simplify]: Simplified to (pow PI (/ (- 1 k) 2)) 97.305 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (/ (sqrt k) (pow 2 (/ (- 1 k) 2))) (pow PI (/ (- 1 k) 2))))) 97.305 * * * * [progress]: [ 123 / 463 ] simplifiying candidate # 97.306 * [simplify]: Simplifying (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) 97.306 * * [simplify]: iters left: 6 (9 enodes) 97.311 * * [simplify]: iters left: 5 (39 enodes) 97.325 * * [simplify]: iters left: 4 (60 enodes) 97.345 * * [simplify]: iters left: 3 (96 enodes) 97.383 * * [simplify]: iters left: 2 (184 enodes) 97.424 * * [simplify]: iters left: 1 (344 enodes) 97.566 * * [simplify]: Extracting #0: cost 1 inf + 0 97.566 * * [simplify]: Extracting #1: cost 3 inf + 0 97.566 * * [simplify]: Extracting #2: cost 27 inf + 0 97.567 * * [simplify]: Extracting #3: cost 100 inf + 1 97.567 * * [simplify]: Extracting #4: cost 153 inf + 92 97.568 * * [simplify]: Extracting #5: cost 149 inf + 557 97.570 * * [simplify]: Extracting #6: cost 68 inf + 14295 97.577 * * [simplify]: Extracting #7: cost 18 inf + 42650 97.585 * * [simplify]: Extracting #8: cost 0 inf + 57251 97.599 * * [simplify]: Extracting #9: cost 0 inf + 56019 97.616 * * [simplify]: Extracting #10: cost 0 inf + 55386 97.632 * [simplify]: Simplified to (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) 97.632 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (/ (sqrt k) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 97.632 * * * * [progress]: [ 124 / 463 ] simplifiying candidate # 97.633 * [simplify]: Simplifying (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) 97.633 * * [simplify]: iters left: 6 (9 enodes) 97.638 * * [simplify]: iters left: 5 (39 enodes) 97.651 * * [simplify]: iters left: 4 (61 enodes) 97.675 * * [simplify]: iters left: 3 (97 enodes) 97.697 * * [simplify]: iters left: 2 (185 enodes) 97.753 * * [simplify]: iters left: 1 (343 enodes) 97.923 * * [simplify]: Extracting #0: cost 1 inf + 0 97.923 * * [simplify]: Extracting #1: cost 4 inf + 0 97.923 * * [simplify]: Extracting #2: cost 33 inf + 0 97.924 * * [simplify]: Extracting #3: cost 113 inf + 1 97.925 * * [simplify]: Extracting #4: cost 159 inf + 94 97.927 * * [simplify]: Extracting #5: cost 159 inf + 101 97.929 * * [simplify]: Extracting #6: cost 120 inf + 3156 97.937 * * [simplify]: Extracting #7: cost 45 inf + 30745 97.954 * * [simplify]: Extracting #8: cost 4 inf + 57089 97.973 * * [simplify]: Extracting #9: cost 0 inf + 57963 97.992 * [simplify]: Simplified to (fabs (pow (* 2 PI) (- 1/4 (/ k 4)))) 97.992 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) (fabs (pow (* 2 PI) (- 1/4 (/ k 4))))))) 97.992 * * * * [progress]: [ 125 / 463 ] simplifiying candidate # 97.992 * [simplify]: Simplifying (pow (* 2 PI) (/ (- 1 k) 2)) 97.993 * * [simplify]: iters left: 5 (8 enodes) 97.998 * * [simplify]: iters left: 4 (36 enodes) 98.011 * * [simplify]: iters left: 3 (57 enodes) 98.030 * * [simplify]: iters left: 2 (90 enodes) 98.069 * * [simplify]: iters left: 1 (176 enodes) 98.136 * * [simplify]: Extracting #0: cost 1 inf + 0 98.136 * * [simplify]: Extracting #1: cost 13 inf + 0 98.137 * * [simplify]: Extracting #2: cost 55 inf + 1 98.137 * * [simplify]: Extracting #3: cost 86 inf + 6 98.138 * * [simplify]: Extracting #4: cost 68 inf + 2553 98.141 * * [simplify]: Extracting #5: cost 24 inf + 10048 98.147 * * [simplify]: Extracting #6: cost 3 inf + 21580 98.153 * * [simplify]: Extracting #7: cost 0 inf + 23439 98.160 * [simplify]: Simplified to (pow (* 2 PI) (/ (- 1 k) 2)) 98.160 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (/ (sqrt k) 1) (pow (* 2 PI) (/ (- 1 k) 2))))) 98.160 * * * * [progress]: [ 126 / 463 ] simplifiying candidate # 98.161 * [simplify]: Simplifying (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) 98.161 * * [simplify]: iters left: 6 (9 enodes) 98.167 * * [simplify]: iters left: 5 (42 enodes) 98.186 * * [simplify]: iters left: 4 (70 enodes) 98.211 * * [simplify]: iters left: 3 (117 enodes) 98.249 * * [simplify]: iters left: 2 (232 enodes) 98.337 * * [simplify]: iters left: 1 (452 enodes) 98.535 * * [simplify]: Extracting #0: cost 1 inf + 0 98.535 * * [simplify]: Extracting #1: cost 24 inf + 0 98.535 * * [simplify]: Extracting #2: cost 94 inf + 1 98.536 * * [simplify]: Extracting #3: cost 164 inf + 94 98.537 * * [simplify]: Extracting #4: cost 174 inf + 187 98.539 * * [simplify]: Extracting #5: cost 104 inf + 8023 98.544 * * [simplify]: Extracting #6: cost 33 inf + 28456 98.553 * * [simplify]: Extracting #7: cost 0 inf + 52800 98.566 * * [simplify]: Extracting #8: cost 0 inf + 51842 98.579 * [simplify]: Simplified to (pow (* 2 PI) (- 1/4 (/ k 4))) 98.579 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (/ (sqrt k) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (- 1/4 (/ k 4)))))) 98.579 * * * * [progress]: [ 127 / 463 ] simplifiying candidate # 98.579 * [simplify]: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 98.579 * * [simplify]: iters left: 4 (4 enodes) 98.580 * * [simplify]: iters left: 3 (12 enodes) 98.582 * * [simplify]: Extracting #0: cost 1 inf + 0 98.582 * * [simplify]: Extracting #1: cost 3 inf + 0 98.582 * * [simplify]: Extracting #2: cost 5 inf + 0 98.582 * * [simplify]: Extracting #3: cost 7 inf + 0 98.582 * * [simplify]: Extracting #4: cost 6 inf + 1 98.582 * * [simplify]: Extracting #5: cost 0 inf + 647 98.582 * [simplify]: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 98.582 * [simplify]: Simplified (2 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)))))) 98.582 * * * * [progress]: [ 128 / 463 ] simplifiying candidate # 98.582 * [simplify]: Simplifying (sqrt (* (cbrt k) (cbrt k))) 98.582 * * [simplify]: iters left: 4 (4 enodes) 98.587 * * [simplify]: iters left: 3 (13 enodes) 98.588 * * [simplify]: Extracting #0: cost 1 inf + 0 98.589 * * [simplify]: Extracting #1: cost 4 inf + 0 98.589 * * [simplify]: Extracting #2: cost 7 inf + 0 98.589 * * [simplify]: Extracting #3: cost 6 inf + 1 98.589 * * [simplify]: Extracting #4: cost 0 inf + 647 98.589 * [simplify]: Simplified to (fabs (cbrt k)) 98.590 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (fabs (cbrt k)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k)))))) 98.590 * * * * [progress]: [ 129 / 463 ] simplifiying candidate # 98.591 * [simplify]: Simplifying (sqrt (sqrt k)) 98.591 * * [simplify]: iters left: 2 (3 enodes) 98.591 * * [simplify]: iters left: 1 (9 enodes) 98.592 * * [simplify]: Extracting #0: cost 1 inf + 0 98.592 * * [simplify]: Extracting #1: cost 3 inf + 0 98.592 * * [simplify]: Extracting #2: cost 5 inf + 0 98.592 * * [simplify]: Extracting #3: cost 4 inf + 1 98.593 * * [simplify]: Extracting #4: cost 0 inf + 245 98.593 * [simplify]: Simplified to (sqrt (sqrt k)) 98.593 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k)))))) 98.593 * * * * [progress]: [ 130 / 463 ] simplifiying candidate # 98.593 * [simplify]: Simplifying (sqrt 1) 98.593 * * [simplify]: iters left: 1 (2 enodes) 98.595 * * [simplify]: Extracting #0: cost 1 inf + 0 98.595 * * [simplify]: Extracting #1: cost 0 inf + 1 98.595 * [simplify]: Simplified to 1 98.595 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ 1 (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k))))) 98.595 * * * * [progress]: [ 131 / 463 ] simplifiying candidate # 98.595 * [simplify]: Simplifying (sqrt (sqrt k)) 98.595 * * [simplify]: iters left: 2 (3 enodes) 98.596 * * [simplify]: iters left: 1 (9 enodes) 98.597 * * [simplify]: Extracting #0: cost 1 inf + 0 98.597 * * [simplify]: Extracting #1: cost 3 inf + 0 98.597 * * [simplify]: Extracting #2: cost 5 inf + 0 98.597 * * [simplify]: Extracting #3: cost 4 inf + 1 98.597 * * [simplify]: Extracting #4: cost 0 inf + 245 98.597 * [simplify]: Simplified to (sqrt (sqrt k)) 98.597 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k)))))) 98.597 * * * * [progress]: [ 132 / 463 ] simplifiying candidate # 98.597 * * * * [progress]: [ 133 / 463 ] simplifiying candidate # 98.597 * [simplify]: Simplifying (pow (* 2 PI) (/ k 2)) 98.598 * * [simplify]: iters left: 3 (6 enodes) 98.599 * * [simplify]: iters left: 2 (22 enodes) 98.603 * * [simplify]: iters left: 1 (34 enodes) 98.608 * * [simplify]: Extracting #0: cost 1 inf + 0 98.609 * * [simplify]: Extracting #1: cost 10 inf + 0 98.609 * * [simplify]: Extracting #2: cost 26 inf + 0 98.609 * * [simplify]: Extracting #3: cost 23 inf + 128 98.609 * * [simplify]: Extracting #4: cost 10 inf + 1713 98.609 * * [simplify]: Extracting #5: cost 0 inf + 4919 98.610 * [simplify]: Simplified to (pow (* 2 PI) (/ k 2)) 98.610 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (sqrt k) (pow (* 2 PI) (/ 1 2))) (pow (* 2 PI) (/ k 2))))) 98.610 * * * * [progress]: [ 134 / 463 ] simplifiying candidate #real (real->posit16 (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))))> 98.610 * * * * [progress]: [ 135 / 463 ] simplifiying candidate # 98.610 * * * * [progress]: [ 136 / 463 ] simplifiying candidate # 98.611 * [simplify]: Simplifying (- (* (log n) (/ (- 1 k) 2)) (- (log (sqrt k)) (* (+ (log 2) (log PI)) (/ (- 1 k) 2)))) 98.611 * * [simplify]: iters left: 6 (17 enodes) 98.615 * * [simplify]: iters left: 5 (72 enodes) 98.633 * * [simplify]: iters left: 4 (134 enodes) 98.683 * * [simplify]: iters left: 3 (280 enodes) 98.804 * * [simplify]: Extracting #0: cost 1 inf + 0 98.804 * * [simplify]: Extracting #1: cost 23 inf + 0 98.805 * * [simplify]: Extracting #2: cost 124 inf + 0 98.805 * * [simplify]: Extracting #3: cost 179 inf + 2 98.807 * * [simplify]: Extracting #4: cost 152 inf + 6605 98.811 * * [simplify]: Extracting #5: cost 57 inf + 26996 98.819 * * [simplify]: Extracting #6: cost 4 inf + 44586 98.830 * * [simplify]: Extracting #7: cost 0 inf + 46572 98.839 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))) 98.839 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))))) 98.839 * * * * [progress]: [ 137 / 463 ] simplifiying candidate # 98.839 * [simplify]: Simplifying (- (* (log n) (/ (- 1 k) 2)) (- (log (sqrt k)) (* (log (* 2 PI)) (/ (- 1 k) 2)))) 98.839 * * [simplify]: iters left: 6 (16 enodes) 98.844 * * [simplify]: iters left: 5 (72 enodes) 98.868 * * [simplify]: iters left: 4 (137 enodes) 98.896 * * [simplify]: iters left: 3 (271 enodes) 98.998 * * [simplify]: Extracting #0: cost 1 inf + 0 98.998 * * [simplify]: Extracting #1: cost 21 inf + 0 98.999 * * [simplify]: Extracting #2: cost 111 inf + 0 99.000 * * [simplify]: Extracting #3: cost 169 inf + 2 99.001 * * [simplify]: Extracting #4: cost 164 inf + 2656 99.009 * * [simplify]: Extracting #5: cost 52 inf + 26125 99.024 * * [simplify]: Extracting #6: cost 1 inf + 38756 99.040 * * [simplify]: Extracting #7: cost 0 inf + 38914 99.059 * * [simplify]: Extracting #8: cost 0 inf + 38874 99.074 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (log (* 2 PI)) (log n))) (log (sqrt k))) 99.074 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (log (* 2 PI)) (log n))) (log (sqrt k))))) 99.074 * * * * [progress]: [ 138 / 463 ] simplifiying candidate # 99.075 * [simplify]: Simplifying (- (* (log n) (/ (- 1 k) 2)) (- (log (sqrt k)) (* (log (* 2 PI)) (/ (- 1 k) 2)))) 99.075 * * [simplify]: iters left: 6 (16 enodes) 99.085 * * [simplify]: iters left: 5 (72 enodes) 99.109 * * [simplify]: iters left: 4 (137 enodes) 99.141 * * [simplify]: iters left: 3 (271 enodes) 99.201 * * [simplify]: Extracting #0: cost 1 inf + 0 99.201 * * [simplify]: Extracting #1: cost 21 inf + 0 99.201 * * [simplify]: Extracting #2: cost 111 inf + 0 99.202 * * [simplify]: Extracting #3: cost 169 inf + 2 99.203 * * [simplify]: Extracting #4: cost 164 inf + 2656 99.206 * * [simplify]: Extracting #5: cost 52 inf + 26125 99.218 * * [simplify]: Extracting #6: cost 1 inf + 38756 99.233 * * [simplify]: Extracting #7: cost 0 inf + 38914 99.248 * * [simplify]: Extracting #8: cost 0 inf + 38874 99.267 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (log (* 2 PI)) (log n))) (log (sqrt k))) 99.267 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (log (* 2 PI)) (log n))) (log (sqrt k))))) 99.268 * * * * [progress]: [ 139 / 463 ] simplifiying candidate # 99.268 * [simplify]: Simplifying (- (* (log n) (/ (- 1 k) 2)) (- (log (sqrt k)) (log (pow (* 2 PI) (/ (- 1 k) 2))))) 99.268 * * [simplify]: iters left: 6 (16 enodes) 99.277 * * [simplify]: iters left: 5 (71 enodes) 99.298 * * [simplify]: iters left: 4 (133 enodes) 99.322 * * [simplify]: iters left: 3 (260 enodes) 99.417 * * [simplify]: Extracting #0: cost 1 inf + 0 99.417 * * [simplify]: Extracting #1: cost 29 inf + 0 99.417 * * [simplify]: Extracting #2: cost 149 inf + 0 99.418 * * [simplify]: Extracting #3: cost 228 inf + 3 99.420 * * [simplify]: Extracting #4: cost 195 inf + 6631 99.425 * * [simplify]: Extracting #5: cost 69 inf + 31834 99.434 * * [simplify]: Extracting #6: cost 7 inf + 55591 99.453 * * [simplify]: Extracting #7: cost 0 inf + 59865 99.478 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (log (* 2 PI)) (log n))) (log (sqrt k))) 99.478 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (log (* 2 PI)) (log n))) (log (sqrt k))))) 99.478 * * * * [progress]: [ 140 / 463 ] simplifiying candidate # 99.479 * [simplify]: Simplifying (- (* (log n) (/ (- 1 k) 2)) (log (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 99.479 * * [simplify]: iters left: 6 (15 enodes) 99.487 * * [simplify]: iters left: 5 (65 enodes) 99.499 * * [simplify]: iters left: 4 (115 enodes) 99.519 * * [simplify]: iters left: 3 (206 enodes) 99.583 * * [simplify]: Extracting #0: cost 1 inf + 0 99.583 * * [simplify]: Extracting #1: cost 12 inf + 0 99.584 * * [simplify]: Extracting #2: cost 91 inf + 0 99.585 * * [simplify]: Extracting #3: cost 155 inf + 3 99.586 * * [simplify]: Extracting #4: cost 161 inf + 1832 99.590 * * [simplify]: Extracting #5: cost 91 inf + 13358 99.599 * * [simplify]: Extracting #6: cost 28 inf + 33095 99.608 * * [simplify]: Extracting #7: cost 1 inf + 41713 99.615 * * [simplify]: Extracting #8: cost 0 inf + 40955 99.621 * [simplify]: Simplified to (- (/ (- (log n) (* k (log n))) 2) (- (log (sqrt k)) (* (log (* PI 2)) (/ (- 1 k) 2)))) 99.621 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log n) (* k (log n))) 2) (- (log (sqrt k)) (* (log (* PI 2)) (/ (- 1 k) 2)))))) 99.621 * * * * [progress]: [ 141 / 463 ] simplifiying candidate # 99.621 * [simplify]: Simplifying (- (* (log n) (/ (- 1 k) 2)) (- (log (sqrt k)) (* (+ (log 2) (log PI)) (/ (- 1 k) 2)))) 99.621 * * [simplify]: iters left: 6 (17 enodes) 99.626 * * [simplify]: iters left: 5 (72 enodes) 99.638 * * [simplify]: iters left: 4 (134 enodes) 99.667 * * [simplify]: iters left: 3 (280 enodes) 99.730 * * [simplify]: Extracting #0: cost 1 inf + 0 99.730 * * [simplify]: Extracting #1: cost 23 inf + 0 99.730 * * [simplify]: Extracting #2: cost 124 inf + 0 99.731 * * [simplify]: Extracting #3: cost 179 inf + 2 99.732 * * [simplify]: Extracting #4: cost 152 inf + 6605 99.739 * * [simplify]: Extracting #5: cost 57 inf + 26996 99.747 * * [simplify]: Extracting #6: cost 4 inf + 44586 99.755 * * [simplify]: Extracting #7: cost 0 inf + 46572 99.767 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))) 99.767 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))))) 99.767 * * * * [progress]: [ 142 / 463 ] simplifiying candidate # 99.768 * [simplify]: Simplifying (- (* (log n) (/ (- 1 k) 2)) (- (log (sqrt k)) (* (log (* 2 PI)) (/ (- 1 k) 2)))) 99.768 * * [simplify]: iters left: 6 (16 enodes) 99.777 * * [simplify]: iters left: 5 (72 enodes) 99.796 * * [simplify]: iters left: 4 (137 enodes) 99.825 * * [simplify]: iters left: 3 (271 enodes) 99.940 * * [simplify]: Extracting #0: cost 1 inf + 0 99.940 * * [simplify]: Extracting #1: cost 21 inf + 0 99.941 * * [simplify]: Extracting #2: cost 111 inf + 0 99.942 * * [simplify]: Extracting #3: cost 169 inf + 2 99.943 * * [simplify]: Extracting #4: cost 164 inf + 2656 99.951 * * [simplify]: Extracting #5: cost 52 inf + 26125 99.965 * * [simplify]: Extracting #6: cost 1 inf + 38756 99.975 * * [simplify]: Extracting #7: cost 0 inf + 38914 99.983 * * [simplify]: Extracting #8: cost 0 inf + 38874 99.990 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (log (* 2 PI)) (log n))) (log (sqrt k))) 99.990 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (log (* 2 PI)) (log n))) (log (sqrt k))))) 99.990 * * * * [progress]: [ 143 / 463 ] simplifiying candidate # 99.991 * [simplify]: Simplifying (- (* (log n) (/ (- 1 k) 2)) (- (log (sqrt k)) (* (log (* 2 PI)) (/ (- 1 k) 2)))) 99.991 * * [simplify]: iters left: 6 (16 enodes) 99.997 * * [simplify]: iters left: 5 (72 enodes) 100.012 * * [simplify]: iters left: 4 (137 enodes) 100.062 * * [simplify]: iters left: 3 (271 enodes) 100.155 * * [simplify]: Extracting #0: cost 1 inf + 0 100.155 * * [simplify]: Extracting #1: cost 21 inf + 0 100.155 * * [simplify]: Extracting #2: cost 111 inf + 0 100.156 * * [simplify]: Extracting #3: cost 169 inf + 2 100.157 * * [simplify]: Extracting #4: cost 164 inf + 2656 100.160 * * [simplify]: Extracting #5: cost 52 inf + 26125 100.171 * * [simplify]: Extracting #6: cost 1 inf + 38756 100.181 * * [simplify]: Extracting #7: cost 0 inf + 38914 100.189 * * [simplify]: Extracting #8: cost 0 inf + 38874 100.196 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (log (* 2 PI)) (log n))) (log (sqrt k))) 100.196 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (log (* 2 PI)) (log n))) (log (sqrt k))))) 100.197 * * * * [progress]: [ 144 / 463 ] simplifiying candidate # 100.197 * [simplify]: Simplifying (- (* (log n) (/ (- 1 k) 2)) (- (log (sqrt k)) (log (pow (* 2 PI) (/ (- 1 k) 2))))) 100.197 * * [simplify]: iters left: 6 (16 enodes) 100.202 * * [simplify]: iters left: 5 (71 enodes) 100.215 * * [simplify]: iters left: 4 (133 enodes) 100.256 * * [simplify]: iters left: 3 (260 enodes) 100.330 * * [simplify]: Extracting #0: cost 1 inf + 0 100.331 * * [simplify]: Extracting #1: cost 29 inf + 0 100.331 * * [simplify]: Extracting #2: cost 149 inf + 0 100.333 * * [simplify]: Extracting #3: cost 228 inf + 3 100.335 * * [simplify]: Extracting #4: cost 195 inf + 6631 100.345 * * [simplify]: Extracting #5: cost 69 inf + 31834 100.365 * * [simplify]: Extracting #6: cost 7 inf + 55591 100.390 * * [simplify]: Extracting #7: cost 0 inf + 59865 100.411 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (log (* 2 PI)) (log n))) (log (sqrt k))) 100.411 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (log (* 2 PI)) (log n))) (log (sqrt k))))) 100.411 * * * * [progress]: [ 145 / 463 ] simplifiying candidate # 100.412 * [simplify]: Simplifying (- (* (log n) (/ (- 1 k) 2)) (log (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 100.412 * * [simplify]: iters left: 6 (15 enodes) 100.420 * * [simplify]: iters left: 5 (65 enodes) 100.441 * * [simplify]: iters left: 4 (115 enodes) 100.461 * * [simplify]: iters left: 3 (206 enodes) 100.524 * * [simplify]: Extracting #0: cost 1 inf + 0 100.524 * * [simplify]: Extracting #1: cost 12 inf + 0 100.524 * * [simplify]: Extracting #2: cost 91 inf + 0 100.525 * * [simplify]: Extracting #3: cost 155 inf + 3 100.527 * * [simplify]: Extracting #4: cost 161 inf + 1832 100.531 * * [simplify]: Extracting #5: cost 91 inf + 13358 100.540 * * [simplify]: Extracting #6: cost 28 inf + 33095 100.552 * * [simplify]: Extracting #7: cost 1 inf + 41713 100.559 * * [simplify]: Extracting #8: cost 0 inf + 40955 100.566 * [simplify]: Simplified to (- (/ (- (log n) (* k (log n))) 2) (- (log (sqrt k)) (* (log (* PI 2)) (/ (- 1 k) 2)))) 100.566 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log n) (* k (log n))) 2) (- (log (sqrt k)) (* (log (* PI 2)) (/ (- 1 k) 2)))))) 100.566 * * * * [progress]: [ 146 / 463 ] simplifiying candidate # 100.566 * [simplify]: Simplifying (- (log (pow n (/ (- 1 k) 2))) (- (log (sqrt k)) (* (+ (log 2) (log PI)) (/ (- 1 k) 2)))) 100.566 * * [simplify]: iters left: 6 (17 enodes) 100.571 * * [simplify]: iters left: 5 (74 enodes) 100.585 * * [simplify]: iters left: 4 (144 enodes) 100.645 * * [simplify]: iters left: 3 (336 enodes) 100.747 * * [simplify]: Extracting #0: cost 1 inf + 0 100.747 * * [simplify]: Extracting #1: cost 29 inf + 0 100.748 * * [simplify]: Extracting #2: cost 167 inf + 0 100.749 * * [simplify]: Extracting #3: cost 250 inf + 3 100.753 * * [simplify]: Extracting #4: cost 227 inf + 5971 100.762 * * [simplify]: Extracting #5: cost 107 inf + 34657 100.785 * * [simplify]: Extracting #6: cost 6 inf + 70907 100.810 * * [simplify]: Extracting #7: cost 0 inf + 72557 100.840 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))) 100.840 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))))) 100.840 * * * * [progress]: [ 147 / 463 ] simplifiying candidate # 100.840 * [simplify]: Simplifying (- (log (pow n (/ (- 1 k) 2))) (- (log (sqrt k)) (* (log (* 2 PI)) (/ (- 1 k) 2)))) 100.841 * * [simplify]: iters left: 6 (16 enodes) 100.850 * * [simplify]: iters left: 5 (74 enodes) 100.876 * * [simplify]: iters left: 4 (151 enodes) 100.934 * * [simplify]: iters left: 3 (326 enodes) 101.057 * * [simplify]: Extracting #0: cost 1 inf + 0 101.057 * * [simplify]: Extracting #1: cost 26 inf + 0 101.057 * * [simplify]: Extracting #2: cost 142 inf + 0 101.058 * * [simplify]: Extracting #3: cost 227 inf + 3 101.059 * * [simplify]: Extracting #4: cost 208 inf + 5758 101.065 * * [simplify]: Extracting #5: cost 70 inf + 40995 101.090 * * [simplify]: Extracting #6: cost 8 inf + 57992 101.102 * * [simplify]: Extracting #7: cost 0 inf + 59261 101.112 * * [simplify]: Extracting #8: cost 0 inf + 59260 101.122 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (log (* 2 PI)) (log n))) (log (sqrt k))) 101.123 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (log (* 2 PI)) (log n))) (log (sqrt k))))) 101.123 * * * * [progress]: [ 148 / 463 ] simplifiying candidate # 101.123 * [simplify]: Simplifying (- (log (pow n (/ (- 1 k) 2))) (- (log (sqrt k)) (* (log (* 2 PI)) (/ (- 1 k) 2)))) 101.123 * * [simplify]: iters left: 6 (16 enodes) 101.128 * * [simplify]: iters left: 5 (74 enodes) 101.149 * * [simplify]: iters left: 4 (151 enodes) 101.208 * * [simplify]: iters left: 3 (326 enodes) 101.312 * * [simplify]: Extracting #0: cost 1 inf + 0 101.312 * * [simplify]: Extracting #1: cost 26 inf + 0 101.313 * * [simplify]: Extracting #2: cost 142 inf + 0 101.314 * * [simplify]: Extracting #3: cost 227 inf + 3 101.317 * * [simplify]: Extracting #4: cost 208 inf + 5758 101.328 * * [simplify]: Extracting #5: cost 70 inf + 40995 101.340 * * [simplify]: Extracting #6: cost 8 inf + 57992 101.351 * * [simplify]: Extracting #7: cost 0 inf + 59261 101.362 * * [simplify]: Extracting #8: cost 0 inf + 59260 101.372 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (log (* 2 PI)) (log n))) (log (sqrt k))) 101.372 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (log (* 2 PI)) (log n))) (log (sqrt k))))) 101.373 * * * * [progress]: [ 149 / 463 ] simplifiying candidate # 101.373 * [simplify]: Simplifying (- (log (pow n (/ (- 1 k) 2))) (- (log (sqrt k)) (log (pow (* 2 PI) (/ (- 1 k) 2))))) 101.373 * * [simplify]: iters left: 6 (16 enodes) 101.377 * * [simplify]: iters left: 5 (72 enodes) 101.398 * * [simplify]: iters left: 4 (134 enodes) 101.447 * * [simplify]: iters left: 3 (283 enodes) 101.548 * * [simplify]: Extracting #0: cost 1 inf + 0 101.548 * * [simplify]: Extracting #1: cost 36 inf + 0 101.549 * * [simplify]: Extracting #2: cost 174 inf + 0 101.550 * * [simplify]: Extracting #3: cost 264 inf + 2 101.553 * * [simplify]: Extracting #4: cost 224 inf + 12350 101.571 * * [simplify]: Extracting #5: cost 60 inf + 62284 101.588 * * [simplify]: Extracting #6: cost 4 inf + 76197 101.601 * * [simplify]: Extracting #7: cost 0 inf + 77455 101.621 * * [simplify]: Extracting #8: cost 0 inf + 76649 101.646 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (log (* 2 PI)) (log n))) (log (sqrt k))) 101.646 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (log (* 2 PI)) (log n))) (log (sqrt k))))) 101.647 * * * * [progress]: [ 150 / 463 ] simplifiying candidate # 101.647 * [simplify]: Simplifying (- (log (pow n (/ (- 1 k) 2))) (log (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 101.648 * * [simplify]: iters left: 6 (15 enodes) 101.656 * * [simplify]: iters left: 5 (66 enodes) 101.679 * * [simplify]: iters left: 4 (116 enodes) 101.718 * * [simplify]: iters left: 3 (224 enodes) 101.768 * * [simplify]: Extracting #0: cost 1 inf + 0 101.768 * * [simplify]: Extracting #1: cost 21 inf + 0 101.769 * * [simplify]: Extracting #2: cost 116 inf + 0 101.769 * * [simplify]: Extracting #3: cost 188 inf + 2 101.770 * * [simplify]: Extracting #4: cost 179 inf + 4123 101.773 * * [simplify]: Extracting #5: cost 103 inf + 19947 101.785 * * [simplify]: Extracting #6: cost 20 inf + 53126 101.803 * * [simplify]: Extracting #7: cost 0 inf + 60171 101.821 * * [simplify]: Extracting #8: cost 0 inf + 59105 101.838 * * [simplify]: Extracting #9: cost 0 inf + 58860 101.859 * * [simplify]: Extracting #10: cost 0 inf + 58820 101.871 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (log n)) (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* 2 PI))))) 101.871 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log n)) (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* 2 PI))))))) 101.871 * * * * [progress]: [ 151 / 463 ] simplifiying candidate # 101.871 * * * * [progress]: [ 152 / 463 ] simplifiying candidate # 101.871 * * * * [progress]: [ 153 / 463 ] simplifiying candidate # 101.872 * [simplify]: Simplifying (/ (* (* (pow n (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow (* 2 PI) (/ (- 1 k) 2))))) 101.872 * * [simplify]: iters left: 6 (19 enodes) 101.877 * * [simplify]: iters left: 5 (86 enodes) 101.894 * * [simplify]: iters left: 4 (249 enodes) 102.060 * * [simplify]: Extracting #0: cost 1 inf + 0 102.060 * * [simplify]: Extracting #1: cost 123 inf + 0 102.062 * * [simplify]: Extracting #2: cost 333 inf + 42 102.065 * * [simplify]: Extracting #3: cost 368 inf + 247 102.070 * * [simplify]: Extracting #4: cost 335 inf + 11824 102.092 * * [simplify]: Extracting #5: cost 185 inf + 96067 102.130 * * [simplify]: Extracting #6: cost 10 inf + 222538 102.170 * * [simplify]: Extracting #7: cost 0 inf + 231039 102.216 * [simplify]: Simplified to (* (* (/ (pow n (/ (- 1 k) 2)) (* k (sqrt k))) (* (pow n (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2)))) (* (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow (* 2 PI) (/ (- 1 k) 2)))) 102.217 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (* (/ (pow n (/ (- 1 k) 2)) (* k (sqrt k))) (* (pow n (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2)))) (* (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow (* 2 PI) (/ (- 1 k) 2)))))) 102.217 * * * * [progress]: [ 154 / 463 ] simplifiying candidate # 102.217 * [simplify]: Simplifying (/ (* (* (pow n (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))) (* (* (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 102.217 * * [simplify]: iters left: 6 (17 enodes) 102.223 * * [simplify]: iters left: 5 (82 enodes) 102.240 * * [simplify]: iters left: 4 (220 enodes) 102.361 * * [simplify]: Extracting #0: cost 1 inf + 0 102.362 * * [simplify]: Extracting #1: cost 82 inf + 0 102.362 * * [simplify]: Extracting #2: cost 283 inf + 1 102.364 * * [simplify]: Extracting #3: cost 323 inf + 337 102.371 * * [simplify]: Extracting #4: cost 283 inf + 18623 102.386 * * [simplify]: Extracting #5: cost 110 inf + 135826 102.429 * * [simplify]: Extracting #6: cost 9 inf + 209584 102.487 * * [simplify]: Extracting #7: cost 0 inf + 215743 102.530 * [simplify]: Simplified to (* (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) (* (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 102.530 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) (* (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))))) 102.530 * * * * [progress]: [ 155 / 463 ] simplifiying candidate # 102.530 * * * * [progress]: [ 156 / 463 ] simplifiying candidate # 102.530 * * * * [progress]: [ 157 / 463 ] simplifiying candidate # 102.530 * * * * [progress]: [ 158 / 463 ] simplifiying candidate # 102.531 * * * * [progress]: [ 159 / 463 ] simplifiying candidate # 102.531 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (* (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 102.531 * * [simplify]: iters left: 6 (17 enodes) 102.536 * * [simplify]: iters left: 5 (67 enodes) 102.547 * * [simplify]: iters left: 4 (107 enodes) 102.580 * * [simplify]: iters left: 3 (178 enodes) 102.636 * * [simplify]: iters left: 2 (341 enodes) 102.756 * * [simplify]: Extracting #0: cost 1 inf + 0 102.756 * * [simplify]: Extracting #1: cost 54 inf + 0 102.757 * * [simplify]: Extracting #2: cost 147 inf + 0 102.757 * * [simplify]: Extracting #3: cost 211 inf + 2 102.758 * * [simplify]: Extracting #4: cost 236 inf + 10 102.760 * * [simplify]: Extracting #5: cost 233 inf + 3235 102.765 * * [simplify]: Extracting #6: cost 174 inf + 22808 102.785 * * [simplify]: Extracting #7: cost 53 inf + 134588 102.816 * * [simplify]: Extracting #8: cost 1 inf + 186988 102.844 * * [simplify]: Extracting #9: cost 0 inf + 187019 102.881 * * [simplify]: Extracting #10: cost 0 inf + 186888 102.919 * [simplify]: Simplified to (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (* (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))) 102.919 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (* (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))))) 102.919 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 102.920 * * [simplify]: iters left: 6 (15 enodes) 102.924 * * [simplify]: iters left: 5 (59 enodes) 102.934 * * [simplify]: iters left: 4 (93 enodes) 102.961 * * [simplify]: iters left: 3 (145 enodes) 103.008 * * [simplify]: iters left: 2 (261 enodes) 103.095 * * [simplify]: Extracting #0: cost 1 inf + 0 103.095 * * [simplify]: Extracting #1: cost 30 inf + 0 103.095 * * [simplify]: Extracting #2: cost 72 inf + 0 103.096 * * [simplify]: Extracting #3: cost 125 inf + 2 103.097 * * [simplify]: Extracting #4: cost 147 inf + 92 103.098 * * [simplify]: Extracting #5: cost 160 inf + 1211 103.102 * * [simplify]: Extracting #6: cost 105 inf + 14519 103.119 * * [simplify]: Extracting #7: cost 32 inf + 64665 103.140 * * [simplify]: Extracting #8: cost 0 inf + 92963 103.162 * [simplify]: Simplified to (/ (pow (cbrt n) (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* PI 2) (- 1/2 (/ k 2)))))) 103.162 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (* (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) (/ (pow (cbrt n) (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* PI 2) (- 1/2 (/ k 2)))))))) 103.162 * * * * [progress]: [ 160 / 463 ] simplifiying candidate # 103.163 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 103.163 * * [simplify]: iters left: 6 (16 enodes) 103.171 * * [simplify]: iters left: 5 (62 enodes) 103.190 * * [simplify]: iters left: 4 (96 enodes) 103.206 * * [simplify]: iters left: 3 (148 enodes) 103.241 * * [simplify]: iters left: 2 (264 enodes) 103.324 * * [simplify]: Extracting #0: cost 1 inf + 0 103.324 * * [simplify]: Extracting #1: cost 30 inf + 0 103.324 * * [simplify]: Extracting #2: cost 73 inf + 0 103.325 * * [simplify]: Extracting #3: cost 125 inf + 2 103.325 * * [simplify]: Extracting #4: cost 151 inf + 10 103.327 * * [simplify]: Extracting #5: cost 162 inf + 2196 103.332 * * [simplify]: Extracting #6: cost 90 inf + 25485 103.355 * * [simplify]: Extracting #7: cost 10 inf + 83065 103.377 * * [simplify]: Extracting #8: cost 0 inf + 90181 103.399 * * [simplify]: Extracting #9: cost 0 inf + 90141 103.421 * [simplify]: Simplified to (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))) 103.421 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))))) 103.422 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 103.422 * * [simplify]: iters left: 6 (15 enodes) 103.430 * * [simplify]: iters left: 5 (59 enodes) 103.450 * * [simplify]: iters left: 4 (93 enodes) 103.480 * * [simplify]: iters left: 3 (145 enodes) 103.534 * * [simplify]: iters left: 2 (261 enodes) 103.631 * * [simplify]: Extracting #0: cost 1 inf + 0 103.631 * * [simplify]: Extracting #1: cost 30 inf + 0 103.631 * * [simplify]: Extracting #2: cost 72 inf + 0 103.632 * * [simplify]: Extracting #3: cost 125 inf + 2 103.632 * * [simplify]: Extracting #4: cost 147 inf + 92 103.633 * * [simplify]: Extracting #5: cost 160 inf + 1211 103.635 * * [simplify]: Extracting #6: cost 105 inf + 14439 103.645 * * [simplify]: Extracting #7: cost 32 inf + 63625 103.655 * * [simplify]: Extracting #8: cost 0 inf + 91483 103.675 * [simplify]: Simplified to (/ (pow (cbrt n) (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* PI 2) (- 1/2 (/ k 2)))))) 103.675 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (pow (cbrt n) (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* PI 2) (- 1/2 (/ k 2)))))))) 103.675 * * * * [progress]: [ 161 / 463 ] simplifiying candidate # 103.676 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (/ (- 1 k) 2)))) 103.676 * * [simplify]: iters left: 6 (15 enodes) 103.684 * * [simplify]: iters left: 5 (62 enodes) 103.707 * * [simplify]: iters left: 4 (117 enodes) 103.751 * * [simplify]: iters left: 3 (282 enodes) 103.911 * * [simplify]: Extracting #0: cost 1 inf + 0 103.911 * * [simplify]: Extracting #1: cost 74 inf + 0 103.912 * * [simplify]: Extracting #2: cost 235 inf + 0 103.913 * * [simplify]: Extracting #3: cost 277 inf + 2 103.914 * * [simplify]: Extracting #4: cost 256 inf + 3394 103.919 * * [simplify]: Extracting #5: cost 179 inf + 42768 103.938 * * [simplify]: Extracting #6: cost 20 inf + 169397 103.961 * * [simplify]: Extracting #7: cost 0 inf + 188305 104.001 * [simplify]: Simplified to (/ (/ (pow 2 (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)))) (cbrt (sqrt k))) 104.001 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow 2 (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)))) (cbrt (sqrt k))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 104.001 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 104.001 * * [simplify]: iters left: 6 (14 enodes) 104.005 * * [simplify]: iters left: 5 (57 enodes) 104.016 * * [simplify]: iters left: 4 (100 enodes) 104.035 * * [simplify]: iters left: 3 (189 enodes) 104.099 * * [simplify]: Extracting #0: cost 1 inf + 0 104.100 * * [simplify]: Extracting #1: cost 38 inf + 0 104.100 * * [simplify]: Extracting #2: cost 129 inf + 0 104.101 * * [simplify]: Extracting #3: cost 165 inf + 2 104.102 * * [simplify]: Extracting #4: cost 153 inf + 918 104.107 * * [simplify]: Extracting #5: cost 98 inf + 17604 104.121 * * [simplify]: Extracting #6: cost 31 inf + 65620 104.141 * * [simplify]: Extracting #7: cost 1 inf + 88832 104.161 * * [simplify]: Extracting #8: cost 0 inf + 89172 104.181 * [simplify]: Simplified to (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 104.181 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (/ (- 1 k) 2)))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 104.182 * * * * [progress]: [ 162 / 463 ] simplifiying candidate # 104.182 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 104.182 * * [simplify]: iters left: 6 (19 enodes) 104.192 * * [simplify]: iters left: 5 (79 enodes) 104.223 * * [simplify]: iters left: 4 (146 enodes) 104.275 * * [simplify]: iters left: 3 (293 enodes) 104.382 * * [simplify]: Extracting #0: cost 1 inf + 0 104.383 * * [simplify]: Extracting #1: cost 63 inf + 0 104.383 * * [simplify]: Extracting #2: cost 171 inf + 0 104.384 * * [simplify]: Extracting #3: cost 218 inf + 0 104.385 * * [simplify]: Extracting #4: cost 212 inf + 1526 104.387 * * [simplify]: Extracting #5: cost 166 inf + 15331 104.402 * * [simplify]: Extracting #6: cost 70 inf + 89339 104.449 * * [simplify]: Extracting #7: cost 0 inf + 157916 104.481 * * [simplify]: Extracting #8: cost 0 inf + 157411 104.505 * [simplify]: Simplified to (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (* (/ (cbrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))) 104.505 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (* (/ (cbrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 104.506 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 104.506 * * [simplify]: iters left: 6 (16 enodes) 104.515 * * [simplify]: iters left: 5 (64 enodes) 104.536 * * [simplify]: iters left: 4 (103 enodes) 104.569 * * [simplify]: iters left: 3 (171 enodes) 104.634 * * [simplify]: iters left: 2 (340 enodes) 104.786 * * [simplify]: Extracting #0: cost 1 inf + 0 104.786 * * [simplify]: Extracting #1: cost 60 inf + 0 104.787 * * [simplify]: Extracting #2: cost 174 inf + 0 104.789 * * [simplify]: Extracting #3: cost 246 inf + 2 104.791 * * [simplify]: Extracting #4: cost 260 inf + 1203 104.795 * * [simplify]: Extracting #5: cost 199 inf + 20924 104.809 * * [simplify]: Extracting #6: cost 33 inf + 159830 104.841 * * [simplify]: Extracting #7: cost 0 inf + 190335 104.881 * * [simplify]: Extracting #8: cost 0 inf + 189156 104.903 * [simplify]: Simplified to (/ (pow (cbrt n) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))))) 104.903 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (/ (pow (cbrt n) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))))))) 104.903 * * * * [progress]: [ 163 / 463 ] simplifiying candidate # 104.904 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 104.904 * * [simplify]: iters left: 6 (18 enodes) 104.909 * * [simplify]: iters left: 5 (72 enodes) 104.933 * * [simplify]: iters left: 4 (121 enodes) 104.958 * * [simplify]: iters left: 3 (231 enodes) 105.025 * * [simplify]: Extracting #0: cost 1 inf + 0 105.025 * * [simplify]: Extracting #1: cost 45 inf + 0 105.025 * * [simplify]: Extracting #2: cost 117 inf + 0 105.026 * * [simplify]: Extracting #3: cost 165 inf + 0 105.027 * * [simplify]: Extracting #4: cost 164 inf + 589 105.031 * * [simplify]: Extracting #5: cost 112 inf + 14076 105.049 * * [simplify]: Extracting #6: cost 24 inf + 81377 105.077 * * [simplify]: Extracting #7: cost 1 inf + 101847 105.091 * * [simplify]: Extracting #8: cost 0 inf + 102393 105.104 * [simplify]: Simplified to (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))) 105.104 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 105.105 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 105.105 * * [simplify]: iters left: 6 (16 enodes) 105.112 * * [simplify]: iters left: 5 (64 enodes) 105.134 * * [simplify]: iters left: 4 (104 enodes) 105.167 * * [simplify]: iters left: 3 (172 enodes) 105.210 * * [simplify]: iters left: 2 (342 enodes) 105.308 * * [simplify]: Extracting #0: cost 1 inf + 0 105.308 * * [simplify]: Extracting #1: cost 60 inf + 0 105.309 * * [simplify]: Extracting #2: cost 174 inf + 0 105.310 * * [simplify]: Extracting #3: cost 250 inf + 2 105.311 * * [simplify]: Extracting #4: cost 253 inf + 3141 105.320 * * [simplify]: Extracting #5: cost 157 inf + 51261 105.357 * * [simplify]: Extracting #6: cost 16 inf + 175503 105.402 * * [simplify]: Extracting #7: cost 0 inf + 185355 105.429 * * [simplify]: Extracting #8: cost 0 inf + 185104 105.450 * [simplify]: Simplified to (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (cbrt (sqrt k)))) 105.450 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (cbrt (sqrt k)))))) 105.450 * * * * [progress]: [ 164 / 463 ] simplifiying candidate # 105.451 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 105.451 * * [simplify]: iters left: 6 (14 enodes) 105.455 * * [simplify]: iters left: 5 (55 enodes) 105.466 * * [simplify]: iters left: 4 (97 enodes) 105.499 * * [simplify]: iters left: 3 (169 enodes) 105.567 * * [simplify]: iters left: 2 (346 enodes) 105.679 * * [simplify]: Extracting #0: cost 1 inf + 0 105.680 * * [simplify]: Extracting #1: cost 70 inf + 0 105.684 * * [simplify]: Extracting #2: cost 200 inf + 1 105.685 * * [simplify]: Extracting #3: cost 277 inf + 3 105.686 * * [simplify]: Extracting #4: cost 266 inf + 1738 105.690 * * [simplify]: Extracting #5: cost 192 inf + 25587 105.704 * * [simplify]: Extracting #6: cost 47 inf + 135468 105.726 * * [simplify]: Extracting #7: cost 1 inf + 173255 105.765 * * [simplify]: Extracting #8: cost 0 inf + 171664 105.812 * [simplify]: Simplified to (/ (/ (pow (* (cbrt n) (cbrt n)) (- 1/2 (/ k 2))) (cbrt (sqrt k))) (cbrt (sqrt k))) 105.813 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow (* (cbrt n) (cbrt n)) (- 1/2 (/ k 2))) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 105.813 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 105.813 * * [simplify]: iters left: 6 (15 enodes) 105.821 * * [simplify]: iters left: 5 (61 enodes) 105.842 * * [simplify]: iters left: 4 (104 enodes) 105.879 * * [simplify]: iters left: 3 (197 enodes) 105.941 * * [simplify]: Extracting #0: cost 1 inf + 0 105.941 * * [simplify]: Extracting #1: cost 38 inf + 0 105.941 * * [simplify]: Extracting #2: cost 129 inf + 0 105.942 * * [simplify]: Extracting #3: cost 167 inf + 1 105.942 * * [simplify]: Extracting #4: cost 154 inf + 1331 105.944 * * [simplify]: Extracting #5: cost 108 inf + 15940 105.951 * * [simplify]: Extracting #6: cost 30 inf + 69987 105.962 * * [simplify]: Extracting #7: cost 0 inf + 94753 105.972 * [simplify]: Simplified to (/ (* (pow (* 2 PI) (- 1/2 (/ k 2))) (pow (cbrt n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 105.972 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (* (pow (* 2 PI) (- 1/2 (/ k 2))) (pow (cbrt n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 105.972 * * * * [progress]: [ 165 / 463 ] simplifiying candidate # 105.973 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 105.973 * * [simplify]: iters left: 6 (18 enodes) 105.982 * * [simplify]: iters left: 5 (75 enodes) 106.005 * * [simplify]: iters left: 4 (134 enodes) 106.034 * * [simplify]: iters left: 3 (313 enodes) 106.146 * * [simplify]: Extracting #0: cost 1 inf + 0 106.146 * * [simplify]: Extracting #1: cost 76 inf + 0 106.148 * * [simplify]: Extracting #2: cost 251 inf + 0 106.150 * * [simplify]: Extracting #3: cost 301 inf + 1 106.151 * * [simplify]: Extracting #4: cost 284 inf + 1905 106.155 * * [simplify]: Extracting #5: cost 213 inf + 26751 106.175 * * [simplify]: Extracting #6: cost 72 inf + 135375 106.205 * * [simplify]: Extracting #7: cost 0 inf + 203081 106.245 * * [simplify]: Extracting #8: cost 0 inf + 201845 106.272 * [simplify]: Simplified to (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI 2) (/ (/ (- 1 k) 2) 2)))) 106.272 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI 2) (/ (/ (- 1 k) 2) 2)))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 106.272 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 106.273 * * [simplify]: iters left: 6 (16 enodes) 106.278 * * [simplify]: iters left: 5 (67 enodes) 106.304 * * [simplify]: iters left: 4 (114 enodes) 106.344 * * [simplify]: iters left: 3 (221 enodes) 106.442 * * [simplify]: Extracting #0: cost 1 inf + 0 106.442 * * [simplify]: Extracting #1: cost 38 inf + 0 106.443 * * [simplify]: Extracting #2: cost 127 inf + 0 106.444 * * [simplify]: Extracting #3: cost 175 inf + 1 106.445 * * [simplify]: Extracting #4: cost 160 inf + 1292 106.449 * * [simplify]: Extracting #5: cost 110 inf + 14735 106.463 * * [simplify]: Extracting #6: cost 27 inf + 68647 106.483 * * [simplify]: Extracting #7: cost 0 inf + 90748 106.496 * * [simplify]: Extracting #8: cost 0 inf + 90192 106.505 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 4)) (/ (cbrt (sqrt k)) (pow (cbrt n) (/ (- 1 k) 2)))) 106.506 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* 2 PI) (/ (- 1 k) 4)) (/ (cbrt (sqrt k)) (pow (cbrt n) (/ (- 1 k) 2)))))) 106.506 * * * * [progress]: [ 166 / 463 ] simplifiying candidate # 106.506 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow 2 (/ (- 1 k) 2)))) 106.506 * * [simplify]: iters left: 6 (15 enodes) 106.510 * * [simplify]: iters left: 5 (61 enodes) 106.522 * * [simplify]: iters left: 4 (104 enodes) 106.560 * * [simplify]: iters left: 3 (197 enodes) 106.611 * * [simplify]: Extracting #0: cost 1 inf + 0 106.611 * * [simplify]: Extracting #1: cost 38 inf + 0 106.611 * * [simplify]: Extracting #2: cost 130 inf + 0 106.612 * * [simplify]: Extracting #3: cost 165 inf + 2 106.613 * * [simplify]: Extracting #4: cost 163 inf + 215 106.614 * * [simplify]: Extracting #5: cost 116 inf + 11964 106.621 * * [simplify]: Extracting #6: cost 31 inf + 70084 106.631 * * [simplify]: Extracting #7: cost 0 inf + 94235 106.645 * * [simplify]: Extracting #8: cost 0 inf + 93575 106.655 * [simplify]: Simplified to (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (fabs (cbrt k))) (pow 2 (/ (- 1 k) 2))) 106.655 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (fabs (cbrt k))) (pow 2 (/ (- 1 k) 2))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))))) 106.656 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))) 106.656 * * [simplify]: iters left: 6 (14 enodes) 106.660 * * [simplify]: iters left: 5 (57 enodes) 106.671 * * [simplify]: iters left: 4 (100 enodes) 106.689 * * [simplify]: iters left: 3 (189 enodes) 106.736 * * [simplify]: Extracting #0: cost 1 inf + 0 106.736 * * [simplify]: Extracting #1: cost 38 inf + 0 106.736 * * [simplify]: Extracting #2: cost 129 inf + 0 106.737 * * [simplify]: Extracting #3: cost 165 inf + 2 106.737 * * [simplify]: Extracting #4: cost 153 inf + 958 106.739 * * [simplify]: Extracting #5: cost 98 inf + 17684 106.747 * * [simplify]: Extracting #6: cost 31 inf + 65700 106.757 * * [simplify]: Extracting #7: cost 1 inf + 88912 106.767 * * [simplify]: Extracting #8: cost 0 inf + 89252 106.785 * [simplify]: Simplified to (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))) 106.785 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (fabs (cbrt k))) (pow 2 (/ (- 1 k) 2))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))))) 106.785 * * * * [progress]: [ 167 / 463 ] simplifiying candidate # 106.786 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 106.786 * * [simplify]: iters left: 6 (19 enodes) 106.796 * * [simplify]: iters left: 5 (76 enodes) 106.820 * * [simplify]: iters left: 4 (117 enodes) 106.863 * * [simplify]: iters left: 3 (201 enodes) 106.924 * * [simplify]: iters left: 2 (451 enodes) 107.439 * * [simplify]: Extracting #0: cost 1 inf + 0 107.440 * * [simplify]: Extracting #1: cost 87 inf + 0 107.441 * * [simplify]: Extracting #2: cost 279 inf + 0 107.444 * * [simplify]: Extracting #3: cost 378 inf + 2 107.447 * * [simplify]: Extracting #4: cost 384 inf + 2397 107.459 * * [simplify]: Extracting #5: cost 266 inf + 73875 107.506 * * [simplify]: Extracting #6: cost 40 inf + 280874 107.556 * * [simplify]: Extracting #7: cost 0 inf + 315724 107.601 * * [simplify]: Extracting #8: cost 0 inf + 315029 107.663 * [simplify]: Simplified to (/ (* (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))) (fabs (cbrt k))) 107.663 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))) (fabs (cbrt k))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 107.663 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 107.664 * * [simplify]: iters left: 6 (16 enodes) 107.672 * * [simplify]: iters left: 5 (64 enodes) 107.684 * * [simplify]: iters left: 4 (103 enodes) 107.701 * * [simplify]: iters left: 3 (171 enodes) 107.762 * * [simplify]: iters left: 2 (340 enodes) 107.857 * * [simplify]: Extracting #0: cost 1 inf + 0 107.857 * * [simplify]: Extracting #1: cost 60 inf + 0 107.858 * * [simplify]: Extracting #2: cost 174 inf + 0 107.859 * * [simplify]: Extracting #3: cost 246 inf + 2 107.861 * * [simplify]: Extracting #4: cost 260 inf + 1283 107.867 * * [simplify]: Extracting #5: cost 199 inf + 21004 107.891 * * [simplify]: Extracting #6: cost 33 inf + 159910 107.912 * * [simplify]: Extracting #7: cost 0 inf + 190415 107.946 * * [simplify]: Extracting #8: cost 0 inf + 189236 107.974 * [simplify]: Simplified to (/ (pow (cbrt n) (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))))) 107.975 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (/ (pow (cbrt n) (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))))))) 107.975 * * * * [progress]: [ 168 / 463 ] simplifiying candidate # 107.975 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 107.975 * * [simplify]: iters left: 6 (18 enodes) 107.985 * * [simplify]: iters left: 5 (71 enodes) 107.997 * * [simplify]: iters left: 4 (107 enodes) 108.018 * * [simplify]: iters left: 3 (180 enodes) 108.076 * * [simplify]: iters left: 2 (369 enodes) 108.189 * * [simplify]: Extracting #0: cost 1 inf + 0 108.189 * * [simplify]: Extracting #1: cost 60 inf + 0 108.190 * * [simplify]: Extracting #2: cost 174 inf + 0 108.192 * * [simplify]: Extracting #3: cost 254 inf + 2 108.194 * * [simplify]: Extracting #4: cost 263 inf + 1577 108.200 * * [simplify]: Extracting #5: cost 204 inf + 17185 108.225 * * [simplify]: Extracting #6: cost 67 inf + 123527 108.269 * * [simplify]: Extracting #7: cost 1 inf + 188087 108.319 * * [simplify]: Extracting #8: cost 0 inf + 186908 108.342 * * [simplify]: Extracting #9: cost 0 inf + 186384 108.374 * [simplify]: Simplified to (/ (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (fabs (cbrt k)) (pow (* (cbrt n) (cbrt n)) (* 1/2 (- 1 k))))) 108.374 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (fabs (cbrt k)) (pow (* (cbrt n) (cbrt n)) (* 1/2 (- 1 k))))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 108.374 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 108.375 * * [simplify]: iters left: 6 (16 enodes) 108.379 * * [simplify]: iters left: 5 (64 enodes) 108.390 * * [simplify]: iters left: 4 (104 enodes) 108.419 * * [simplify]: iters left: 3 (172 enodes) 108.482 * * [simplify]: iters left: 2 (342 enodes) 108.623 * * [simplify]: Extracting #0: cost 1 inf + 0 108.623 * * [simplify]: Extracting #1: cost 60 inf + 0 108.623 * * [simplify]: Extracting #2: cost 174 inf + 0 108.624 * * [simplify]: Extracting #3: cost 250 inf + 2 108.625 * * [simplify]: Extracting #4: cost 253 inf + 3181 108.630 * * [simplify]: Extracting #5: cost 157 inf + 51341 108.655 * * [simplify]: Extracting #6: cost 16 inf + 175583 108.702 * * [simplify]: Extracting #7: cost 0 inf + 185435 108.727 * * [simplify]: Extracting #8: cost 0 inf + 185184 108.751 * [simplify]: Simplified to (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (sqrt (cbrt k)))) 108.751 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (sqrt (cbrt k)))))) 108.751 * * * * [progress]: [ 169 / 463 ] simplifiying candidate # 108.752 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) 1)) 108.752 * * [simplify]: iters left: 6 (14 enodes) 108.756 * * [simplify]: iters left: 5 (53 enodes) 108.766 * * [simplify]: iters left: 4 (82 enodes) 108.794 * * [simplify]: iters left: 3 (123 enodes) 108.826 * * [simplify]: iters left: 2 (213 enodes) 108.897 * * [simplify]: iters left: 1 (415 enodes) 109.112 * * [simplify]: Extracting #0: cost 1 inf + 0 109.112 * * [simplify]: Extracting #1: cost 38 inf + 0 109.117 * * [simplify]: Extracting #2: cost 111 inf + 1 109.118 * * [simplify]: Extracting #3: cost 181 inf + 4 109.120 * * [simplify]: Extracting #4: cost 170 inf + 1704 109.125 * * [simplify]: Extracting #5: cost 110 inf + 11328 109.137 * * [simplify]: Extracting #6: cost 48 inf + 49614 109.164 * * [simplify]: Extracting #7: cost 0 inf + 94672 109.191 * * [simplify]: Extracting #8: cost 0 inf + 93739 109.220 * * [simplify]: Extracting #9: cost 0 inf + 93057 109.248 * [simplify]: Simplified to (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (fabs (cbrt k))) 109.248 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 109.249 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 109.249 * * [simplify]: iters left: 6 (15 enodes) 109.254 * * [simplify]: iters left: 5 (61 enodes) 109.264 * * [simplify]: iters left: 4 (104 enodes) 109.284 * * [simplify]: iters left: 3 (197 enodes) 109.340 * * [simplify]: Extracting #0: cost 1 inf + 0 109.340 * * [simplify]: Extracting #1: cost 38 inf + 0 109.341 * * [simplify]: Extracting #2: cost 129 inf + 0 109.341 * * [simplify]: Extracting #3: cost 167 inf + 1 109.342 * * [simplify]: Extracting #4: cost 154 inf + 1371 109.344 * * [simplify]: Extracting #5: cost 108 inf + 16020 109.360 * * [simplify]: Extracting #6: cost 30 inf + 70067 109.381 * * [simplify]: Extracting #7: cost 0 inf + 94833 109.403 * [simplify]: Simplified to (/ (* (pow (* 2 PI) (- 1/2 (/ k 2))) (pow (cbrt n) (- 1/2 (/ k 2)))) (sqrt (cbrt k))) 109.404 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (* (pow (* 2 PI) (- 1/2 (/ k 2))) (pow (cbrt n) (- 1/2 (/ k 2)))) (sqrt (cbrt k))))) 109.404 * * * * [progress]: [ 170 / 463 ] simplifiying candidate # 109.404 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 109.404 * * [simplify]: iters left: 6 (18 enodes) 109.414 * * [simplify]: iters left: 5 (74 enodes) 109.439 * * [simplify]: iters left: 4 (124 enodes) 109.473 * * [simplify]: iters left: 3 (234 enodes) 109.538 * * [simplify]: Extracting #0: cost 1 inf + 0 109.538 * * [simplify]: Extracting #1: cost 38 inf + 0 109.538 * * [simplify]: Extracting #2: cost 130 inf + 0 109.539 * * [simplify]: Extracting #3: cost 178 inf + 1 109.540 * * [simplify]: Extracting #4: cost 173 inf + 343 109.542 * * [simplify]: Extracting #5: cost 119 inf + 9997 109.556 * * [simplify]: Extracting #6: cost 35 inf + 65990 109.579 * * [simplify]: Extracting #7: cost 1 inf + 95920 109.602 * * [simplify]: Extracting #8: cost 0 inf + 96411 109.625 * * [simplify]: Extracting #9: cost 0 inf + 96279 109.637 * [simplify]: Simplified to (* (pow (* PI 2) (/ (- 1 k) 4)) (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (fabs (cbrt k)))) 109.637 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (* PI 2) (/ (- 1 k) 4)) (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (fabs (cbrt k)))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 109.637 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 109.637 * * [simplify]: iters left: 6 (16 enodes) 109.642 * * [simplify]: iters left: 5 (67 enodes) 109.654 * * [simplify]: iters left: 4 (114 enodes) 109.686 * * [simplify]: iters left: 3 (221 enodes) 109.740 * * [simplify]: Extracting #0: cost 1 inf + 0 109.740 * * [simplify]: Extracting #1: cost 38 inf + 0 109.741 * * [simplify]: Extracting #2: cost 127 inf + 0 109.742 * * [simplify]: Extracting #3: cost 175 inf + 1 109.743 * * [simplify]: Extracting #4: cost 160 inf + 1332 109.747 * * [simplify]: Extracting #5: cost 110 inf + 14815 109.760 * * [simplify]: Extracting #6: cost 27 inf + 68727 109.779 * * [simplify]: Extracting #7: cost 0 inf + 90828 109.800 * * [simplify]: Extracting #8: cost 0 inf + 90272 109.820 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 4)) (/ (sqrt (cbrt k)) (pow (cbrt n) (/ (- 1 k) 2)))) 109.820 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* 2 PI) (/ (- 1 k) 4)) (/ (sqrt (cbrt k)) (pow (cbrt n) (/ (- 1 k) 2)))))) 109.820 * * * * [progress]: [ 171 / 463 ] simplifiying candidate # 109.820 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 109.821 * * [simplify]: iters left: 6 (14 enodes) 109.828 * * [simplify]: iters left: 5 (57 enodes) 109.852 * * [simplify]: iters left: 4 (100 enodes) 109.886 * * [simplify]: iters left: 3 (189 enodes) 109.940 * * [simplify]: Extracting #0: cost 1 inf + 0 109.940 * * [simplify]: Extracting #1: cost 38 inf + 0 109.941 * * [simplify]: Extracting #2: cost 129 inf + 0 109.941 * * [simplify]: Extracting #3: cost 164 inf + 2 109.942 * * [simplify]: Extracting #4: cost 157 inf + 465 109.946 * * [simplify]: Extracting #5: cost 101 inf + 16085 109.954 * * [simplify]: Extracting #6: cost 21 inf + 72263 109.966 * * [simplify]: Extracting #7: cost 0 inf + 90392 109.977 * * [simplify]: Extracting #8: cost 0 inf + 90351 109.991 * [simplify]: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow (* (cbrt n) (cbrt n)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 109.991 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow 2 (- 1/2 (/ k 2))) (/ (pow (* (cbrt n) (cbrt n)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 109.991 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 109.991 * * [simplify]: iters left: 6 (14 enodes) 109.995 * * [simplify]: iters left: 5 (57 enodes) 110.006 * * [simplify]: iters left: 4 (100 enodes) 110.034 * * [simplify]: iters left: 3 (189 enodes) 110.122 * * [simplify]: Extracting #0: cost 1 inf + 0 110.122 * * [simplify]: Extracting #1: cost 38 inf + 0 110.123 * * [simplify]: Extracting #2: cost 129 inf + 0 110.124 * * [simplify]: Extracting #3: cost 165 inf + 2 110.125 * * [simplify]: Extracting #4: cost 153 inf + 878 110.129 * * [simplify]: Extracting #5: cost 98 inf + 17124 110.143 * * [simplify]: Extracting #6: cost 31 inf + 63860 110.162 * * [simplify]: Extracting #7: cost 1 inf + 86352 110.172 * * [simplify]: Extracting #8: cost 0 inf + 86652 110.185 * [simplify]: Simplified to (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 110.185 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 110.185 * * * * [progress]: [ 172 / 463 ] simplifiying candidate # 110.185 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 110.185 * * [simplify]: iters left: 6 (18 enodes) 110.191 * * [simplify]: iters left: 5 (72 enodes) 110.209 * * [simplify]: iters left: 4 (117 enodes) 110.230 * * [simplify]: iters left: 3 (203 enodes) 110.302 * * [simplify]: iters left: 2 (440 enodes) 110.461 * * [simplify]: Extracting #0: cost 1 inf + 0 110.461 * * [simplify]: Extracting #1: cost 91 inf + 0 110.462 * * [simplify]: Extracting #2: cost 291 inf + 0 110.465 * * [simplify]: Extracting #3: cost 384 inf + 2 110.468 * * [simplify]: Extracting #4: cost 393 inf + 2074 110.482 * * [simplify]: Extracting #5: cost 330 inf + 25312 110.508 * * [simplify]: Extracting #6: cost 135 inf + 187613 110.561 * * [simplify]: Extracting #7: cost 3 inf + 321766 110.619 * * [simplify]: Extracting #8: cost 0 inf + 322434 110.675 * * [simplify]: Extracting #9: cost 0 inf + 321557 110.748 * * [simplify]: Extracting #10: cost 0 inf + 321346 110.831 * [simplify]: Simplified to (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))) 110.831 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 110.832 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 110.832 * * [simplify]: iters left: 6 (16 enodes) 110.836 * * [simplify]: iters left: 5 (64 enodes) 110.848 * * [simplify]: iters left: 4 (103 enodes) 110.871 * * [simplify]: iters left: 3 (171 enodes) 110.919 * * [simplify]: iters left: 2 (340 enodes) 111.028 * * [simplify]: Extracting #0: cost 1 inf + 0 111.029 * * [simplify]: Extracting #1: cost 60 inf + 0 111.029 * * [simplify]: Extracting #2: cost 174 inf + 0 111.030 * * [simplify]: Extracting #3: cost 246 inf + 2 111.031 * * [simplify]: Extracting #4: cost 260 inf + 1123 111.034 * * [simplify]: Extracting #5: cost 199 inf + 20444 111.055 * * [simplify]: Extracting #6: cost 33 inf + 156430 111.077 * * [simplify]: Extracting #7: cost 0 inf + 186455 111.101 * * [simplify]: Extracting #8: cost 0 inf + 185276 111.125 * [simplify]: Simplified to (/ (pow (cbrt n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))))) 111.125 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (/ (pow (cbrt n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))))))) 111.125 * * * * [progress]: [ 173 / 463 ] simplifiying candidate # 111.125 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 111.125 * * [simplify]: iters left: 6 (17 enodes) 111.130 * * [simplify]: iters left: 5 (67 enodes) 111.141 * * [simplify]: iters left: 4 (107 enodes) 111.162 * * [simplify]: iters left: 3 (179 enodes) 111.228 * * [simplify]: iters left: 2 (349 enodes) 111.351 * * [simplify]: Extracting #0: cost 1 inf + 0 111.352 * * [simplify]: Extracting #1: cost 60 inf + 0 111.352 * * [simplify]: Extracting #2: cost 174 inf + 0 111.353 * * [simplify]: Extracting #3: cost 248 inf + 2 111.354 * * [simplify]: Extracting #4: cost 258 inf + 1823 111.357 * * [simplify]: Extracting #5: cost 219 inf + 7015 111.364 * * [simplify]: Extracting #6: cost 138 inf + 57225 111.403 * * [simplify]: Extracting #7: cost 10 inf + 177495 111.441 * * [simplify]: Extracting #8: cost 0 inf + 184422 111.471 * * [simplify]: Extracting #9: cost 0 inf + 184160 111.494 * [simplify]: Simplified to (* (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) 111.494 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 111.494 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 111.494 * * [simplify]: iters left: 6 (16 enodes) 111.499 * * [simplify]: iters left: 5 (64 enodes) 111.510 * * [simplify]: iters left: 4 (104 enodes) 111.537 * * [simplify]: iters left: 3 (172 enodes) 111.583 * * [simplify]: iters left: 2 (342 enodes) 111.728 * * [simplify]: Extracting #0: cost 1 inf + 0 111.728 * * [simplify]: Extracting #1: cost 60 inf + 0 111.729 * * [simplify]: Extracting #2: cost 174 inf + 0 111.731 * * [simplify]: Extracting #3: cost 250 inf + 2 111.733 * * [simplify]: Extracting #4: cost 253 inf + 3061 111.738 * * [simplify]: Extracting #5: cost 157 inf + 50341 111.756 * * [simplify]: Extracting #6: cost 16 inf + 171863 111.795 * * [simplify]: Extracting #7: cost 0 inf + 181475 111.818 * * [simplify]: Extracting #8: cost 0 inf + 181224 111.848 * [simplify]: Simplified to (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) 111.848 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (sqrt (sqrt k)))))) 111.848 * * * * [progress]: [ 174 / 463 ] simplifiying candidate # 111.848 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) 1)) 111.848 * * [simplify]: iters left: 6 (13 enodes) 111.852 * * [simplify]: iters left: 5 (50 enodes) 111.861 * * [simplify]: iters left: 4 (79 enodes) 111.876 * * [simplify]: iters left: 3 (121 enodes) 111.916 * * [simplify]: iters left: 2 (224 enodes) 111.986 * * [simplify]: iters left: 1 (494 enodes) 112.278 * * [simplify]: Extracting #0: cost 1 inf + 0 112.278 * * [simplify]: Extracting #1: cost 54 inf + 0 112.279 * * [simplify]: Extracting #2: cost 160 inf + 1 112.280 * * [simplify]: Extracting #3: cost 230 inf + 4 112.281 * * [simplify]: Extracting #4: cost 228 inf + 1086 112.285 * * [simplify]: Extracting #5: cost 150 inf + 20899 112.300 * * [simplify]: Extracting #6: cost 24 inf + 116221 112.337 * * [simplify]: Extracting #7: cost 0 inf + 136359 112.360 * * [simplify]: Extracting #8: cost 0 inf + 133968 112.399 * [simplify]: Simplified to (/ (pow (* (cbrt n) (cbrt n)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 112.399 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 112.399 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 112.399 * * [simplify]: iters left: 6 (15 enodes) 112.403 * * [simplify]: iters left: 5 (61 enodes) 112.414 * * [simplify]: iters left: 4 (104 enodes) 112.432 * * [simplify]: iters left: 3 (197 enodes) 112.490 * * [simplify]: Extracting #0: cost 1 inf + 0 112.490 * * [simplify]: Extracting #1: cost 38 inf + 0 112.490 * * [simplify]: Extracting #2: cost 129 inf + 0 112.491 * * [simplify]: Extracting #3: cost 167 inf + 1 112.491 * * [simplify]: Extracting #4: cost 154 inf + 1291 112.494 * * [simplify]: Extracting #5: cost 108 inf + 15540 112.500 * * [simplify]: Extracting #6: cost 30 inf + 68147 112.511 * * [simplify]: Extracting #7: cost 0 inf + 92233 112.530 * [simplify]: Simplified to (/ (* (pow (* 2 PI) (- 1/2 (/ k 2))) (pow (cbrt n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 112.530 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) 1)) (/ (* (pow (* 2 PI) (- 1/2 (/ k 2))) (pow (cbrt n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 112.530 * * * * [progress]: [ 175 / 463 ] simplifiying candidate # 112.531 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 112.531 * * [simplify]: iters left: 6 (17 enodes) 112.540 * * [simplify]: iters left: 5 (70 enodes) 112.564 * * [simplify]: iters left: 4 (117 enodes) 112.609 * * [simplify]: iters left: 3 (224 enodes) 112.707 * * [simplify]: Extracting #0: cost 1 inf + 0 112.707 * * [simplify]: Extracting #1: cost 38 inf + 0 112.708 * * [simplify]: Extracting #2: cost 131 inf + 0 112.709 * * [simplify]: Extracting #3: cost 179 inf + 1 112.710 * * [simplify]: Extracting #4: cost 172 inf + 428 112.714 * * [simplify]: Extracting #5: cost 120 inf + 13617 112.730 * * [simplify]: Extracting #6: cost 34 inf + 68131 112.757 * * [simplify]: Extracting #7: cost 1 inf + 96066 112.777 * * [simplify]: Extracting #8: cost 0 inf + 95938 112.790 * * [simplify]: Extracting #9: cost 0 inf + 95806 112.802 * [simplify]: Simplified to (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 4)))) 112.802 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 4)))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 112.803 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 112.803 * * [simplify]: iters left: 6 (16 enodes) 112.813 * * [simplify]: iters left: 5 (67 enodes) 112.836 * * [simplify]: iters left: 4 (114 enodes) 112.876 * * [simplify]: iters left: 3 (221 enodes) 112.973 * * [simplify]: Extracting #0: cost 1 inf + 0 112.973 * * [simplify]: Extracting #1: cost 38 inf + 0 112.974 * * [simplify]: Extracting #2: cost 127 inf + 0 112.975 * * [simplify]: Extracting #3: cost 175 inf + 1 112.976 * * [simplify]: Extracting #4: cost 160 inf + 1252 112.980 * * [simplify]: Extracting #5: cost 110 inf + 14335 112.995 * * [simplify]: Extracting #6: cost 27 inf + 66727 113.015 * * [simplify]: Extracting #7: cost 0 inf + 88228 113.037 * * [simplify]: Extracting #8: cost 0 inf + 87672 113.053 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 4)) (/ (sqrt (sqrt k)) (pow (cbrt n) (/ (- 1 k) 2)))) 113.053 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* 2 PI) (/ (- 1 k) 4)) (/ (sqrt (sqrt k)) (pow (cbrt n) (/ (- 1 k) 2)))))) 113.053 * * * * [progress]: [ 176 / 463 ] simplifiying candidate # 113.054 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt 1) (pow 2 (/ (- 1 k) 2)))) 113.054 * * [simplify]: iters left: 6 (13 enodes) 113.058 * * [simplify]: iters left: 5 (54 enodes) 113.067 * * [simplify]: iters left: 4 (92 enodes) 113.083 * * [simplify]: iters left: 3 (172 enodes) 113.133 * * [simplify]: iters left: 2 (454 enodes) 113.480 * * [simplify]: Extracting #0: cost 1 inf + 0 113.481 * * [simplify]: Extracting #1: cost 123 inf + 0 113.484 * * [simplify]: Extracting #2: cost 443 inf + 1 113.488 * * [simplify]: Extracting #3: cost 506 inf + 4 113.492 * * [simplify]: Extracting #4: cost 515 inf + 10 113.498 * * [simplify]: Extracting #5: cost 464 inf + 12421 113.514 * * [simplify]: Extracting #6: cost 368 inf + 61526 113.554 * * [simplify]: Extracting #7: cost 78 inf + 310343 113.617 * * [simplify]: Extracting #8: cost 3 inf + 376020 113.687 * * [simplify]: Extracting #9: cost 0 inf + 376173 113.769 * * [simplify]: Extracting #10: cost 0 inf + 376042 113.831 * [simplify]: Simplified to (* (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) 113.831 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 113.831 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 113.831 * * [simplify]: iters left: 6 (13 enodes) 113.835 * * [simplify]: iters left: 5 (54 enodes) 113.848 * * [simplify]: iters left: 4 (97 enodes) 113.874 * * [simplify]: iters left: 3 (190 enodes) 113.932 * * [simplify]: Extracting #0: cost 1 inf + 0 113.933 * * [simplify]: Extracting #1: cost 38 inf + 0 113.933 * * [simplify]: Extracting #2: cost 129 inf + 0 113.934 * * [simplify]: Extracting #3: cost 160 inf + 44 113.934 * * [simplify]: Extracting #4: cost 149 inf + 1376 113.936 * * [simplify]: Extracting #5: cost 105 inf + 15281 113.944 * * [simplify]: Extracting #6: cost 27 inf + 64747 113.962 * * [simplify]: Extracting #7: cost 0 inf + 84880 113.976 * * [simplify]: Extracting #8: cost 0 inf + 84226 113.985 * [simplify]: Simplified to (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 113.985 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 113.986 * * * * [progress]: [ 177 / 463 ] simplifiying candidate # 113.986 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt 1) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 113.986 * * [simplify]: iters left: 6 (17 enodes) 113.991 * * [simplify]: iters left: 5 (69 enodes) 114.004 * * [simplify]: iters left: 4 (112 enodes) 114.040 * * [simplify]: iters left: 3 (194 enodes) 114.120 * * [simplify]: iters left: 2 (423 enodes) 114.377 * * [simplify]: Extracting #0: cost 1 inf + 0 114.377 * * [simplify]: Extracting #1: cost 86 inf + 0 114.379 * * [simplify]: Extracting #2: cost 259 inf + 1 114.382 * * [simplify]: Extracting #3: cost 327 inf + 3 114.385 * * [simplify]: Extracting #4: cost 361 inf + 10 114.393 * * [simplify]: Extracting #5: cost 279 inf + 33497 114.413 * * [simplify]: Extracting #6: cost 151 inf + 121299 114.454 * * [simplify]: Extracting #7: cost 18 inf + 247119 114.515 * * [simplify]: Extracting #8: cost 0 inf + 261702 114.588 * * [simplify]: Extracting #9: cost 0 inf + 261456 114.654 * [simplify]: Simplified to (* (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))) (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2))) 114.654 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))) (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 114.655 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 114.655 * * [simplify]: iters left: 6 (15 enodes) 114.659 * * [simplify]: iters left: 5 (61 enodes) 114.672 * * [simplify]: iters left: 4 (100 enodes) 114.689 * * [simplify]: iters left: 3 (172 enodes) 114.724 * * [simplify]: iters left: 2 (347 enodes) 114.825 * * [simplify]: Extracting #0: cost 1 inf + 0 114.826 * * [simplify]: Extracting #1: cost 60 inf + 0 114.826 * * [simplify]: Extracting #2: cost 175 inf + 0 114.827 * * [simplify]: Extracting #3: cost 242 inf + 44 114.828 * * [simplify]: Extracting #4: cost 241 inf + 5647 114.838 * * [simplify]: Extracting #5: cost 170 inf + 35018 114.857 * * [simplify]: Extracting #6: cost 84 inf + 91486 114.882 * * [simplify]: Extracting #7: cost 5 inf + 170656 114.913 * * [simplify]: Extracting #8: cost 0 inf + 175075 114.955 * * [simplify]: Extracting #9: cost 0 inf + 174823 114.998 * [simplify]: Simplified to (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (sqrt k))) 114.998 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt 1) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (sqrt k))))) 114.998 * * * * [progress]: [ 178 / 463 ] simplifiying candidate # 114.999 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt 1) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 114.999 * * [simplify]: iters left: 6 (16 enodes) 115.008 * * [simplify]: iters left: 5 (64 enodes) 115.029 * * [simplify]: iters left: 4 (99 enodes) 115.060 * * [simplify]: iters left: 3 (157 enodes) 115.108 * * [simplify]: iters left: 2 (313 enodes) 115.205 * * [simplify]: Extracting #0: cost 1 inf + 0 115.206 * * [simplify]: Extracting #1: cost 53 inf + 0 115.206 * * [simplify]: Extracting #2: cost 144 inf + 1 115.207 * * [simplify]: Extracting #3: cost 204 inf + 3 115.208 * * [simplify]: Extracting #4: cost 238 inf + 10 115.210 * * [simplify]: Extracting #5: cost 192 inf + 13738 115.217 * * [simplify]: Extracting #6: cost 101 inf + 62107 115.238 * * [simplify]: Extracting #7: cost 25 inf + 123629 115.272 * * [simplify]: Extracting #8: cost 0 inf + 143031 115.292 * * [simplify]: Extracting #9: cost 0 inf + 142826 115.335 * [simplify]: Simplified to (* (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2))) 115.335 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 115.336 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 115.336 * * [simplify]: iters left: 6 (15 enodes) 115.344 * * [simplify]: iters left: 5 (61 enodes) 115.364 * * [simplify]: iters left: 4 (101 enodes) 115.386 * * [simplify]: iters left: 3 (173 enodes) 115.419 * * [simplify]: iters left: 2 (344 enodes) 115.546 * * [simplify]: Extracting #0: cost 1 inf + 0 115.546 * * [simplify]: Extracting #1: cost 60 inf + 0 115.548 * * [simplify]: Extracting #2: cost 171 inf + 0 115.549 * * [simplify]: Extracting #3: cost 243 inf + 44 115.553 * * [simplify]: Extracting #4: cost 238 inf + 6350 115.565 * * [simplify]: Extracting #5: cost 118 inf + 70379 115.582 * * [simplify]: Extracting #6: cost 16 inf + 151655 115.609 * * [simplify]: Extracting #7: cost 0 inf + 166690 115.630 * [simplify]: Simplified to (/ (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (sqrt k) (pow (cbrt n) (/ (- 1 k) 2)))) 115.630 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt 1) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (sqrt k) (pow (cbrt n) (/ (- 1 k) 2)))))) 115.630 * * * * [progress]: [ 179 / 463 ] simplifiying candidate # 115.630 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt 1) 1)) 115.630 * * [simplify]: iters left: 6 (12 enodes) 115.635 * * [simplify]: iters left: 5 (47 enodes) 115.650 * * [simplify]: iters left: 4 (68 enodes) 115.670 * * [simplify]: iters left: 3 (109 enodes) 115.705 * * [simplify]: iters left: 2 (212 enodes) 115.786 * * [simplify]: iters left: 1 (438 enodes) 116.114 * * [simplify]: Extracting #0: cost 1 inf + 0 116.114 * * [simplify]: Extracting #1: cost 60 inf + 0 116.115 * * [simplify]: Extracting #2: cost 168 inf + 2 116.117 * * [simplify]: Extracting #3: cost 236 inf + 7 116.119 * * [simplify]: Extracting #4: cost 222 inf + 758 116.124 * * [simplify]: Extracting #5: cost 158 inf + 10293 116.143 * * [simplify]: Extracting #6: cost 66 inf + 60659 116.174 * * [simplify]: Extracting #7: cost 0 inf + 116288 116.193 * * [simplify]: Extracting #8: cost 0 inf + 114909 116.221 * * [simplify]: Extracting #9: cost 0 inf + 114656 116.241 * [simplify]: Simplified to (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) 116.241 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 116.241 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 116.242 * * [simplify]: iters left: 6 (14 enodes) 116.248 * * [simplify]: iters left: 5 (58 enodes) 116.266 * * [simplify]: iters left: 4 (101 enodes) 116.298 * * [simplify]: iters left: 3 (190 enodes) 116.370 * * [simplify]: iters left: 2 (495 enodes) 116.569 * * [simplify]: Extracting #0: cost 1 inf + 0 116.570 * * [simplify]: Extracting #1: cost 119 inf + 0 116.571 * * [simplify]: Extracting #2: cost 501 inf + 0 116.573 * * [simplify]: Extracting #3: cost 600 inf + 85 116.576 * * [simplify]: Extracting #4: cost 585 inf + 3772 116.580 * * [simplify]: Extracting #5: cost 526 inf + 20740 116.615 * * [simplify]: Extracting #6: cost 188 inf + 288631 116.687 * * [simplify]: Extracting #7: cost 13 inf + 449126 116.752 * * [simplify]: Extracting #8: cost 0 inf + 455831 116.825 * [simplify]: Simplified to (* (pow (* PI 2) (/ (- 1 k) 2)) (/ (pow (cbrt n) (/ (- 1 k) 2)) (sqrt k))) 116.825 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (* (pow (* PI 2) (/ (- 1 k) 2)) (/ (pow (cbrt n) (/ (- 1 k) 2)) (sqrt k))))) 116.825 * * * * [progress]: [ 180 / 463 ] simplifiying candidate # 116.825 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt 1) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 116.825 * * [simplify]: iters left: 6 (16 enodes) 116.832 * * [simplify]: iters left: 5 (67 enodes) 116.853 * * [simplify]: iters left: 4 (109 enodes) 116.875 * * [simplify]: iters left: 3 (203 enodes) 116.954 * * [simplify]: iters left: 2 (499 enodes) 117.243 * * [simplify]: Extracting #0: cost 1 inf + 0 117.243 * * [simplify]: Extracting #1: cost 124 inf + 0 117.246 * * [simplify]: Extracting #2: cost 410 inf + 1 117.249 * * [simplify]: Extracting #3: cost 476 inf + 3 117.254 * * [simplify]: Extracting #4: cost 482 inf + 56 117.264 * * [simplify]: Extracting #5: cost 378 inf + 39534 117.296 * * [simplify]: Extracting #6: cost 142 inf + 233674 117.358 * * [simplify]: Extracting #7: cost 2 inf + 354922 117.423 * * [simplify]: Extracting #8: cost 0 inf + 352163 117.486 * * [simplify]: Extracting #9: cost 0 inf + 351670 117.550 * [simplify]: Simplified to (* (* (pow (* PI 2) (- 1/4 (/ k 4))) (pow (* (cbrt n) (cbrt n)) (- 1/4 (/ k 4)))) (pow (* (cbrt n) (cbrt n)) (- 1/4 (/ k 4)))) 117.550 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (* (pow (* PI 2) (- 1/4 (/ k 4))) (pow (* (cbrt n) (cbrt n)) (- 1/4 (/ k 4)))) (pow (* (cbrt n) (cbrt n)) (- 1/4 (/ k 4)))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 117.550 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 117.550 * * [simplify]: iters left: 6 (15 enodes) 117.559 * * [simplify]: iters left: 5 (64 enodes) 117.580 * * [simplify]: iters left: 4 (111 enodes) 117.618 * * [simplify]: iters left: 3 (218 enodes) 117.689 * * [simplify]: Extracting #0: cost 1 inf + 0 117.689 * * [simplify]: Extracting #1: cost 38 inf + 0 117.689 * * [simplify]: Extracting #2: cost 127 inf + 0 117.690 * * [simplify]: Extracting #3: cost 169 inf + 84 117.692 * * [simplify]: Extracting #4: cost 157 inf + 1584 117.697 * * [simplify]: Extracting #5: cost 98 inf + 21193 117.711 * * [simplify]: Extracting #6: cost 21 inf + 69554 117.725 * * [simplify]: Extracting #7: cost 0 inf + 85987 117.735 * * [simplify]: Extracting #8: cost 0 inf + 85431 117.744 * * [simplify]: Extracting #9: cost 0 inf + 85167 117.763 * [simplify]: Simplified to (* (pow (* PI 2) (/ (- 1 k) 4)) (/ (pow (cbrt n) (/ (- 1 k) 2)) (sqrt k))) 117.763 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt 1) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (pow (* PI 2) (/ (- 1 k) 4)) (/ (pow (cbrt n) (/ (- 1 k) 2)) (sqrt k))))) 117.763 * * * * [progress]: [ 181 / 463 ] simplifiying candidate # 117.764 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 117.764 * * [simplify]: iters left: 6 (14 enodes) 117.771 * * [simplify]: iters left: 5 (57 enodes) 117.783 * * [simplify]: iters left: 4 (100 enodes) 117.803 * * [simplify]: iters left: 3 (189 enodes) 117.858 * * [simplify]: Extracting #0: cost 1 inf + 0 117.858 * * [simplify]: Extracting #1: cost 38 inf + 0 117.858 * * [simplify]: Extracting #2: cost 129 inf + 0 117.859 * * [simplify]: Extracting #3: cost 164 inf + 2 117.860 * * [simplify]: Extracting #4: cost 157 inf + 465 117.862 * * [simplify]: Extracting #5: cost 101 inf + 16085 117.881 * * [simplify]: Extracting #6: cost 21 inf + 72263 117.903 * * [simplify]: Extracting #7: cost 0 inf + 90392 117.915 * * [simplify]: Extracting #8: cost 0 inf + 90351 117.926 * [simplify]: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow (* (cbrt n) (cbrt n)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 117.926 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow 2 (- 1/2 (/ k 2))) (/ (pow (* (cbrt n) (cbrt n)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 117.927 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 117.927 * * [simplify]: iters left: 6 (14 enodes) 117.933 * * [simplify]: iters left: 5 (57 enodes) 117.952 * * [simplify]: iters left: 4 (100 enodes) 117.971 * * [simplify]: iters left: 3 (189 enodes) 118.026 * * [simplify]: Extracting #0: cost 1 inf + 0 118.026 * * [simplify]: Extracting #1: cost 38 inf + 0 118.026 * * [simplify]: Extracting #2: cost 129 inf + 0 118.027 * * [simplify]: Extracting #3: cost 165 inf + 2 118.029 * * [simplify]: Extracting #4: cost 153 inf + 878 118.033 * * [simplify]: Extracting #5: cost 98 inf + 17124 118.047 * * [simplify]: Extracting #6: cost 31 inf + 63860 118.067 * * [simplify]: Extracting #7: cost 1 inf + 86352 118.078 * * [simplify]: Extracting #8: cost 0 inf + 86652 118.091 * [simplify]: Simplified to (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 118.091 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 118.091 * * * * [progress]: [ 182 / 463 ] simplifiying candidate # 118.091 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 118.092 * * [simplify]: iters left: 6 (18 enodes) 118.096 * * [simplify]: iters left: 5 (72 enodes) 118.120 * * [simplify]: iters left: 4 (117 enodes) 118.159 * * [simplify]: iters left: 3 (203 enodes) 118.204 * * [simplify]: iters left: 2 (440 enodes) 118.346 * * [simplify]: Extracting #0: cost 1 inf + 0 118.346 * * [simplify]: Extracting #1: cost 91 inf + 0 118.347 * * [simplify]: Extracting #2: cost 291 inf + 0 118.349 * * [simplify]: Extracting #3: cost 384 inf + 2 118.350 * * [simplify]: Extracting #4: cost 393 inf + 2074 118.358 * * [simplify]: Extracting #5: cost 330 inf + 25312 118.379 * * [simplify]: Extracting #6: cost 135 inf + 187613 118.434 * * [simplify]: Extracting #7: cost 3 inf + 321766 118.478 * * [simplify]: Extracting #8: cost 0 inf + 322434 118.546 * * [simplify]: Extracting #9: cost 0 inf + 321557 118.613 * * [simplify]: Extracting #10: cost 0 inf + 321346 118.685 * [simplify]: Simplified to (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))) 118.685 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 118.685 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 118.686 * * [simplify]: iters left: 6 (16 enodes) 118.690 * * [simplify]: iters left: 5 (64 enodes) 118.701 * * [simplify]: iters left: 4 (103 enodes) 118.727 * * [simplify]: iters left: 3 (171 enodes) 118.767 * * [simplify]: iters left: 2 (340 enodes) 118.872 * * [simplify]: Extracting #0: cost 1 inf + 0 118.873 * * [simplify]: Extracting #1: cost 60 inf + 0 118.873 * * [simplify]: Extracting #2: cost 174 inf + 0 118.874 * * [simplify]: Extracting #3: cost 246 inf + 2 118.875 * * [simplify]: Extracting #4: cost 260 inf + 1123 118.878 * * [simplify]: Extracting #5: cost 199 inf + 20444 118.908 * * [simplify]: Extracting #6: cost 33 inf + 156430 118.944 * * [simplify]: Extracting #7: cost 0 inf + 186455 118.974 * * [simplify]: Extracting #8: cost 0 inf + 185276 119.000 * [simplify]: Simplified to (/ (pow (cbrt n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))))) 119.000 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (/ (pow (cbrt n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))))))) 119.000 * * * * [progress]: [ 183 / 463 ] simplifiying candidate # 119.000 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 119.000 * * [simplify]: iters left: 6 (17 enodes) 119.005 * * [simplify]: iters left: 5 (67 enodes) 119.023 * * [simplify]: iters left: 4 (107 enodes) 119.059 * * [simplify]: iters left: 3 (179 enodes) 119.126 * * [simplify]: iters left: 2 (349 enodes) 119.281 * * [simplify]: Extracting #0: cost 1 inf + 0 119.281 * * [simplify]: Extracting #1: cost 60 inf + 0 119.282 * * [simplify]: Extracting #2: cost 174 inf + 0 119.284 * * [simplify]: Extracting #3: cost 248 inf + 2 119.286 * * [simplify]: Extracting #4: cost 258 inf + 1823 119.291 * * [simplify]: Extracting #5: cost 219 inf + 7015 119.302 * * [simplify]: Extracting #6: cost 138 inf + 57225 119.341 * * [simplify]: Extracting #7: cost 10 inf + 177495 119.391 * * [simplify]: Extracting #8: cost 0 inf + 184422 119.439 * * [simplify]: Extracting #9: cost 0 inf + 184160 119.486 * [simplify]: Simplified to (* (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) 119.486 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 119.486 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 119.486 * * [simplify]: iters left: 6 (16 enodes) 119.495 * * [simplify]: iters left: 5 (64 enodes) 119.516 * * [simplify]: iters left: 4 (104 enodes) 119.548 * * [simplify]: iters left: 3 (172 enodes) 119.613 * * [simplify]: iters left: 2 (342 enodes) 119.761 * * [simplify]: Extracting #0: cost 1 inf + 0 119.761 * * [simplify]: Extracting #1: cost 60 inf + 0 119.762 * * [simplify]: Extracting #2: cost 174 inf + 0 119.762 * * [simplify]: Extracting #3: cost 250 inf + 2 119.764 * * [simplify]: Extracting #4: cost 253 inf + 3061 119.769 * * [simplify]: Extracting #5: cost 157 inf + 50341 119.787 * * [simplify]: Extracting #6: cost 16 inf + 171863 119.828 * * [simplify]: Extracting #7: cost 0 inf + 181475 119.870 * * [simplify]: Extracting #8: cost 0 inf + 181224 119.914 * [simplify]: Simplified to (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) 119.914 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (sqrt (sqrt k)))))) 119.914 * * * * [progress]: [ 184 / 463 ] simplifiying candidate # 119.915 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) 1)) 119.915 * * [simplify]: iters left: 6 (13 enodes) 119.922 * * [simplify]: iters left: 5 (50 enodes) 119.938 * * [simplify]: iters left: 4 (79 enodes) 119.951 * * [simplify]: iters left: 3 (121 enodes) 119.975 * * [simplify]: iters left: 2 (224 enodes) 120.066 * * [simplify]: iters left: 1 (494 enodes) 120.382 * * [simplify]: Extracting #0: cost 1 inf + 0 120.382 * * [simplify]: Extracting #1: cost 54 inf + 0 120.388 * * [simplify]: Extracting #2: cost 160 inf + 1 120.389 * * [simplify]: Extracting #3: cost 230 inf + 4 120.390 * * [simplify]: Extracting #4: cost 228 inf + 1086 120.393 * * [simplify]: Extracting #5: cost 150 inf + 20899 120.409 * * [simplify]: Extracting #6: cost 24 inf + 116221 120.449 * * [simplify]: Extracting #7: cost 0 inf + 136359 120.480 * * [simplify]: Extracting #8: cost 0 inf + 133968 120.504 * [simplify]: Simplified to (/ (pow (* (cbrt n) (cbrt n)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 120.505 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 120.505 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 120.505 * * [simplify]: iters left: 6 (15 enodes) 120.510 * * [simplify]: iters left: 5 (61 enodes) 120.524 * * [simplify]: iters left: 4 (104 enodes) 120.547 * * [simplify]: iters left: 3 (197 enodes) 120.625 * * [simplify]: Extracting #0: cost 1 inf + 0 120.625 * * [simplify]: Extracting #1: cost 38 inf + 0 120.626 * * [simplify]: Extracting #2: cost 129 inf + 0 120.627 * * [simplify]: Extracting #3: cost 167 inf + 1 120.628 * * [simplify]: Extracting #4: cost 154 inf + 1291 120.631 * * [simplify]: Extracting #5: cost 108 inf + 15540 120.637 * * [simplify]: Extracting #6: cost 30 inf + 68147 120.648 * * [simplify]: Extracting #7: cost 0 inf + 92233 120.659 * [simplify]: Simplified to (/ (* (pow (* 2 PI) (- 1/2 (/ k 2))) (pow (cbrt n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 120.659 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) 1)) (/ (* (pow (* 2 PI) (- 1/2 (/ k 2))) (pow (cbrt n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 120.659 * * * * [progress]: [ 185 / 463 ] simplifiying candidate # 120.659 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 120.659 * * [simplify]: iters left: 6 (17 enodes) 120.665 * * [simplify]: iters left: 5 (70 enodes) 120.678 * * [simplify]: iters left: 4 (117 enodes) 120.710 * * [simplify]: iters left: 3 (224 enodes) 120.794 * * [simplify]: Extracting #0: cost 1 inf + 0 120.794 * * [simplify]: Extracting #1: cost 38 inf + 0 120.794 * * [simplify]: Extracting #2: cost 131 inf + 0 120.795 * * [simplify]: Extracting #3: cost 179 inf + 1 120.795 * * [simplify]: Extracting #4: cost 172 inf + 428 120.797 * * [simplify]: Extracting #5: cost 120 inf + 13617 120.805 * * [simplify]: Extracting #6: cost 34 inf + 68131 120.819 * * [simplify]: Extracting #7: cost 1 inf + 96066 120.841 * * [simplify]: Extracting #8: cost 0 inf + 95938 120.861 * * [simplify]: Extracting #9: cost 0 inf + 95806 120.874 * [simplify]: Simplified to (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 4)))) 120.874 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 4)))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 120.874 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 120.874 * * [simplify]: iters left: 6 (16 enodes) 120.879 * * [simplify]: iters left: 5 (67 enodes) 120.896 * * [simplify]: iters left: 4 (114 enodes) 120.926 * * [simplify]: iters left: 3 (221 enodes) 120.986 * * [simplify]: Extracting #0: cost 1 inf + 0 120.986 * * [simplify]: Extracting #1: cost 38 inf + 0 120.987 * * [simplify]: Extracting #2: cost 127 inf + 0 120.987 * * [simplify]: Extracting #3: cost 175 inf + 1 120.988 * * [simplify]: Extracting #4: cost 160 inf + 1252 120.991 * * [simplify]: Extracting #5: cost 110 inf + 14335 120.998 * * [simplify]: Extracting #6: cost 27 inf + 66727 121.018 * * [simplify]: Extracting #7: cost 0 inf + 88228 121.041 * * [simplify]: Extracting #8: cost 0 inf + 87672 121.055 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 4)) (/ (sqrt (sqrt k)) (pow (cbrt n) (/ (- 1 k) 2)))) 121.055 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* 2 PI) (/ (- 1 k) 4)) (/ (sqrt (sqrt k)) (pow (cbrt n) (/ (- 1 k) 2)))))) 121.055 * * * * [progress]: [ 186 / 463 ] simplifiying candidate # 121.056 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ 1 (pow 2 (/ (- 1 k) 2)))) 121.056 * * [simplify]: iters left: 6 (12 enodes) 121.059 * * [simplify]: iters left: 5 (51 enodes) 121.069 * * [simplify]: iters left: 4 (86 enodes) 121.088 * * [simplify]: iters left: 3 (176 enodes) 121.149 * * [simplify]: Extracting #0: cost 1 inf + 0 121.150 * * [simplify]: Extracting #1: cost 41 inf + 0 121.150 * * [simplify]: Extracting #2: cost 122 inf + 1 121.151 * * [simplify]: Extracting #3: cost 154 inf + 3 121.152 * * [simplify]: Extracting #4: cost 160 inf + 8 121.153 * * [simplify]: Extracting #5: cost 151 inf + 1250 121.157 * * [simplify]: Extracting #6: cost 102 inf + 14758 121.170 * * [simplify]: Extracting #7: cost 21 inf + 68341 121.180 * * [simplify]: Extracting #8: cost 0 inf + 84580 121.189 * [simplify]: Simplified to (* (pow 2 (/ (- 1 k) 2)) (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2))) 121.189 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow 2 (/ (- 1 k) 2)) (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 121.190 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 121.190 * * [simplify]: iters left: 6 (13 enodes) 121.197 * * [simplify]: iters left: 5 (54 enodes) 121.214 * * [simplify]: iters left: 4 (97 enodes) 121.232 * * [simplify]: iters left: 3 (190 enodes) 121.297 * * [simplify]: Extracting #0: cost 1 inf + 0 121.297 * * [simplify]: Extracting #1: cost 38 inf + 0 121.297 * * [simplify]: Extracting #2: cost 129 inf + 0 121.298 * * [simplify]: Extracting #3: cost 160 inf + 44 121.298 * * [simplify]: Extracting #4: cost 149 inf + 1376 121.300 * * [simplify]: Extracting #5: cost 105 inf + 15281 121.306 * * [simplify]: Extracting #6: cost 27 inf + 64747 121.321 * * [simplify]: Extracting #7: cost 0 inf + 84880 121.334 * * [simplify]: Extracting #8: cost 0 inf + 84226 121.346 * [simplify]: Simplified to (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 121.346 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow 2 (/ (- 1 k) 2)) (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 121.346 * * * * [progress]: [ 187 / 463 ] simplifiying candidate # 121.347 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ 1 (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 121.347 * * [simplify]: iters left: 6 (16 enodes) 121.351 * * [simplify]: iters left: 5 (66 enodes) 121.365 * * [simplify]: iters left: 4 (107 enodes) 121.402 * * [simplify]: iters left: 3 (195 enodes) 121.467 * * [simplify]: iters left: 2 (451 enodes) 121.760 * * [simplify]: Extracting #0: cost 1 inf + 0 121.761 * * [simplify]: Extracting #1: cost 107 inf + 0 121.762 * * [simplify]: Extracting #2: cost 312 inf + 1 121.763 * * [simplify]: Extracting #3: cost 397 inf + 3 121.765 * * [simplify]: Extracting #4: cost 428 inf + 10 121.777 * * [simplify]: Extracting #5: cost 324 inf + 49267 121.818 * * [simplify]: Extracting #6: cost 163 inf + 162494 121.894 * * [simplify]: Extracting #7: cost 29 inf + 289177 121.982 * * [simplify]: Extracting #8: cost 0 inf + 320635 122.043 * * [simplify]: Extracting #9: cost 0 inf + 320595 122.121 * [simplify]: Simplified to (* (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))) (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2))) 122.121 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))) (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 122.121 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 122.121 * * [simplify]: iters left: 6 (15 enodes) 122.130 * * [simplify]: iters left: 5 (61 enodes) 122.151 * * [simplify]: iters left: 4 (100 enodes) 122.183 * * [simplify]: iters left: 3 (172 enodes) 122.218 * * [simplify]: iters left: 2 (347 enodes) 122.347 * * [simplify]: Extracting #0: cost 1 inf + 0 122.347 * * [simplify]: Extracting #1: cost 60 inf + 0 122.348 * * [simplify]: Extracting #2: cost 175 inf + 0 122.349 * * [simplify]: Extracting #3: cost 242 inf + 44 122.350 * * [simplify]: Extracting #4: cost 241 inf + 5647 122.356 * * [simplify]: Extracting #5: cost 170 inf + 35018 122.375 * * [simplify]: Extracting #6: cost 84 inf + 91486 122.412 * * [simplify]: Extracting #7: cost 5 inf + 170656 122.458 * * [simplify]: Extracting #8: cost 0 inf + 175075 122.488 * * [simplify]: Extracting #9: cost 0 inf + 174823 122.513 * [simplify]: Simplified to (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (sqrt k))) 122.513 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ 1 (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (sqrt k))))) 122.513 * * * * [progress]: [ 188 / 463 ] simplifiying candidate # 122.514 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ 1 (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 122.514 * * [simplify]: iters left: 6 (15 enodes) 122.518 * * [simplify]: iters left: 5 (61 enodes) 122.529 * * [simplify]: iters left: 4 (97 enodes) 122.545 * * [simplify]: iters left: 3 (170 enodes) 122.587 * * [simplify]: iters left: 2 (350 enodes) 122.702 * * [simplify]: Extracting #0: cost 1 inf + 0 122.702 * * [simplify]: Extracting #1: cost 67 inf + 0 122.703 * * [simplify]: Extracting #2: cost 183 inf + 1 122.705 * * [simplify]: Extracting #3: cost 259 inf + 3 122.707 * * [simplify]: Extracting #4: cost 292 inf + 10 122.710 * * [simplify]: Extracting #5: cost 265 inf + 4015 122.719 * * [simplify]: Extracting #6: cost 179 inf + 40388 122.754 * * [simplify]: Extracting #7: cost 40 inf + 144903 122.802 * * [simplify]: Extracting #8: cost 0 inf + 180501 122.828 * [simplify]: Simplified to (* (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2))) 122.828 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 122.828 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 122.828 * * [simplify]: iters left: 6 (15 enodes) 122.833 * * [simplify]: iters left: 5 (61 enodes) 122.855 * * [simplify]: iters left: 4 (101 enodes) 122.872 * * [simplify]: iters left: 3 (173 enodes) 122.904 * * [simplify]: iters left: 2 (344 enodes) 123.010 * * [simplify]: Extracting #0: cost 1 inf + 0 123.011 * * [simplify]: Extracting #1: cost 60 inf + 0 123.012 * * [simplify]: Extracting #2: cost 171 inf + 0 123.013 * * [simplify]: Extracting #3: cost 243 inf + 44 123.016 * * [simplify]: Extracting #4: cost 238 inf + 6350 123.031 * * [simplify]: Extracting #5: cost 118 inf + 70379 123.048 * * [simplify]: Extracting #6: cost 16 inf + 151655 123.082 * * [simplify]: Extracting #7: cost 0 inf + 166690 123.106 * [simplify]: Simplified to (/ (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (sqrt k) (pow (cbrt n) (/ (- 1 k) 2)))) 123.106 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ 1 (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (sqrt k) (pow (cbrt n) (/ (- 1 k) 2)))))) 123.106 * * * * [progress]: [ 189 / 463 ] simplifiying candidate # 123.106 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ 1 1)) 123.106 * * [simplify]: iters left: 6 (11 enodes) 123.110 * * [simplify]: iters left: 5 (42 enodes) 123.118 * * [simplify]: iters left: 4 (63 enodes) 123.139 * * [simplify]: iters left: 3 (101 enodes) 123.180 * * [simplify]: iters left: 2 (198 enodes) 123.256 * * [simplify]: iters left: 1 (391 enodes) 123.411 * * [simplify]: Extracting #0: cost 1 inf + 0 123.411 * * [simplify]: Extracting #1: cost 55 inf + 0 123.412 * * [simplify]: Extracting #2: cost 154 inf + 2 123.412 * * [simplify]: Extracting #3: cost 205 inf + 7 123.413 * * [simplify]: Extracting #4: cost 190 inf + 1370 123.416 * * [simplify]: Extracting #5: cost 144 inf + 6411 123.422 * * [simplify]: Extracting #6: cost 64 inf + 50354 123.441 * * [simplify]: Extracting #7: cost 2 inf + 103142 123.461 * * [simplify]: Extracting #8: cost 0 inf + 104731 123.478 * * [simplify]: Extracting #9: cost 0 inf + 104609 123.493 * [simplify]: Simplified to (pow (* (cbrt n) (cbrt n)) (* 1/2 (- 1 k))) 123.493 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (cbrt n) (cbrt n)) (* 1/2 (- 1 k))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 123.493 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 123.493 * * [simplify]: iters left: 6 (14 enodes) 123.497 * * [simplify]: iters left: 5 (58 enodes) 123.507 * * [simplify]: iters left: 4 (101 enodes) 123.526 * * [simplify]: iters left: 3 (190 enodes) 123.582 * * [simplify]: iters left: 2 (495 enodes) 123.837 * * [simplify]: Extracting #0: cost 1 inf + 0 123.838 * * [simplify]: Extracting #1: cost 119 inf + 0 123.840 * * [simplify]: Extracting #2: cost 501 inf + 0 123.845 * * [simplify]: Extracting #3: cost 600 inf + 85 123.850 * * [simplify]: Extracting #4: cost 585 inf + 3772 123.858 * * [simplify]: Extracting #5: cost 526 inf + 20740 123.902 * * [simplify]: Extracting #6: cost 188 inf + 288631 123.960 * * [simplify]: Extracting #7: cost 13 inf + 449126 124.029 * * [simplify]: Extracting #8: cost 0 inf + 455831 124.100 * [simplify]: Simplified to (* (pow (* PI 2) (/ (- 1 k) 2)) (/ (pow (cbrt n) (/ (- 1 k) 2)) (sqrt k))) 124.100 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (* (cbrt n) (cbrt n)) (* 1/2 (- 1 k))) (* (pow (* PI 2) (/ (- 1 k) 2)) (/ (pow (cbrt n) (/ (- 1 k) 2)) (sqrt k))))) 124.101 * * * * [progress]: [ 190 / 463 ] simplifiying candidate # 124.101 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ 1 (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 124.101 * * [simplify]: iters left: 6 (15 enodes) 124.110 * * [simplify]: iters left: 5 (64 enodes) 124.132 * * [simplify]: iters left: 4 (107 enodes) 124.172 * * [simplify]: iters left: 3 (213 enodes) 124.268 * * [simplify]: Extracting #0: cost 1 inf + 0 124.268 * * [simplify]: Extracting #1: cost 41 inf + 0 124.269 * * [simplify]: Extracting #2: cost 125 inf + 1 124.269 * * [simplify]: Extracting #3: cost 169 inf + 2 124.270 * * [simplify]: Extracting #4: cost 172 inf + 11 124.271 * * [simplify]: Extracting #5: cost 163 inf + 921 124.272 * * [simplify]: Extracting #6: cost 110 inf + 11762 124.278 * * [simplify]: Extracting #7: cost 38 inf + 56473 124.289 * * [simplify]: Extracting #8: cost 0 inf + 87698 124.305 * * [simplify]: Extracting #9: cost 0 inf + 87618 124.325 * [simplify]: Simplified to (* (pow (* PI 2) (/ (- 1 k) 4)) (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2))) 124.326 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (* PI 2) (/ (- 1 k) 4)) (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 124.326 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 124.326 * * [simplify]: iters left: 6 (15 enodes) 124.335 * * [simplify]: iters left: 5 (64 enodes) 124.360 * * [simplify]: iters left: 4 (111 enodes) 124.398 * * [simplify]: iters left: 3 (218 enodes) 124.458 * * [simplify]: Extracting #0: cost 1 inf + 0 124.458 * * [simplify]: Extracting #1: cost 38 inf + 0 124.459 * * [simplify]: Extracting #2: cost 127 inf + 0 124.459 * * [simplify]: Extracting #3: cost 169 inf + 84 124.460 * * [simplify]: Extracting #4: cost 157 inf + 1584 124.462 * * [simplify]: Extracting #5: cost 98 inf + 21193 124.469 * * [simplify]: Extracting #6: cost 21 inf + 69554 124.484 * * [simplify]: Extracting #7: cost 0 inf + 85987 124.503 * * [simplify]: Extracting #8: cost 0 inf + 85431 124.522 * * [simplify]: Extracting #9: cost 0 inf + 85167 124.537 * [simplify]: Simplified to (* (pow (* PI 2) (/ (- 1 k) 4)) (/ (pow (cbrt n) (/ (- 1 k) 2)) (sqrt k))) 124.537 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ 1 (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (pow (* PI 2) (/ (- 1 k) 4)) (/ (pow (cbrt n) (/ (- 1 k) 2)) (sqrt k))))) 124.537 * * * * [progress]: [ 191 / 463 ] simplifiying candidate # 124.538 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) 1) 124.538 * * [simplify]: iters left: 6 (10 enodes) 124.541 * * [simplify]: iters left: 5 (39 enodes) 124.548 * * [simplify]: iters left: 4 (62 enodes) 124.560 * * [simplify]: iters left: 3 (104 enodes) 124.597 * * [simplify]: iters left: 2 (209 enodes) 124.650 * * [simplify]: iters left: 1 (436 enodes) 124.909 * * [simplify]: Extracting #0: cost 1 inf + 0 124.909 * * [simplify]: Extracting #1: cost 48 inf + 0 124.909 * * [simplify]: Extracting #2: cost 165 inf + 2 124.910 * * [simplify]: Extracting #3: cost 218 inf + 7 124.912 * * [simplify]: Extracting #4: cost 201 inf + 1781 124.916 * * [simplify]: Extracting #5: cost 113 inf + 31359 124.941 * * [simplify]: Extracting #6: cost 13 inf + 109223 124.968 * * [simplify]: Extracting #7: cost 0 inf + 117711 125.020 * * [simplify]: Extracting #8: cost 0 inf + 116701 125.060 * [simplify]: Simplified to (pow (* (cbrt n) (cbrt n)) (- 1/2 (/ k 2))) 125.060 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (cbrt n) (cbrt n)) (- 1/2 (/ k 2))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 125.060 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 125.060 * * [simplify]: iters left: 6 (14 enodes) 125.064 * * [simplify]: iters left: 5 (58 enodes) 125.075 * * [simplify]: iters left: 4 (101 enodes) 125.102 * * [simplify]: iters left: 3 (190 enodes) 125.174 * * [simplify]: iters left: 2 (495 enodes) 125.466 * * [simplify]: Extracting #0: cost 1 inf + 0 125.467 * * [simplify]: Extracting #1: cost 119 inf + 0 125.469 * * [simplify]: Extracting #2: cost 501 inf + 0 125.474 * * [simplify]: Extracting #3: cost 600 inf + 85 125.479 * * [simplify]: Extracting #4: cost 585 inf + 3772 125.487 * * [simplify]: Extracting #5: cost 526 inf + 20740 125.536 * * [simplify]: Extracting #6: cost 188 inf + 288631 125.591 * * [simplify]: Extracting #7: cost 13 inf + 449126 125.653 * * [simplify]: Extracting #8: cost 0 inf + 455831 125.733 * [simplify]: Simplified to (* (pow (* PI 2) (/ (- 1 k) 2)) (/ (pow (cbrt n) (/ (- 1 k) 2)) (sqrt k))) 125.733 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) 1) (* (pow (* PI 2) (/ (- 1 k) 2)) (/ (pow (cbrt n) (/ (- 1 k) 2)) (sqrt k))))) 125.733 * * * * [progress]: [ 192 / 463 ] simplifiying candidate # 125.733 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (sqrt k)) 125.733 * * [simplify]: iters left: 6 (11 enodes) 125.737 * * [simplify]: iters left: 5 (44 enodes) 125.747 * * [simplify]: iters left: 4 (67 enodes) 125.769 * * [simplify]: iters left: 3 (109 enodes) 125.811 * * [simplify]: iters left: 2 (216 enodes) 125.898 * * [simplify]: iters left: 1 (452 enodes) 126.163 * * [simplify]: Extracting #0: cost 1 inf + 0 126.164 * * [simplify]: Extracting #1: cost 48 inf + 0 126.165 * * [simplify]: Extracting #2: cost 137 inf + 0 126.166 * * [simplify]: Extracting #3: cost 205 inf + 45 126.168 * * [simplify]: Extracting #4: cost 216 inf + 347 126.172 * * [simplify]: Extracting #5: cost 155 inf + 9551 126.186 * * [simplify]: Extracting #6: cost 83 inf + 49258 126.215 * * [simplify]: Extracting #7: cost 16 inf + 112940 126.247 * * [simplify]: Extracting #8: cost 0 inf + 126770 126.265 * * [simplify]: Extracting #9: cost 0 inf + 126354 126.301 * [simplify]: Simplified to (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (sqrt k)) 126.301 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (sqrt k)) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ 1 (pow (* 2 PI) (/ (- 1 k) 2)))))) 126.302 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ 1 (pow (* 2 PI) (/ (- 1 k) 2)))) 126.302 * * [simplify]: iters left: 6 (13 enodes) 126.309 * * [simplify]: iters left: 5 (55 enodes) 126.329 * * [simplify]: iters left: 4 (94 enodes) 126.362 * * [simplify]: iters left: 3 (182 enodes) 126.416 * * [simplify]: iters left: 2 (496 enodes) 126.831 * * [simplify]: Extracting #0: cost 1 inf + 0 126.832 * * [simplify]: Extracting #1: cost 148 inf + 0 126.834 * * [simplify]: Extracting #2: cost 543 inf + 1 126.836 * * [simplify]: Extracting #3: cost 605 inf + 3 126.839 * * [simplify]: Extracting #4: cost 605 inf + 258 126.843 * * [simplify]: Extracting #5: cost 569 inf + 7940 126.863 * * [simplify]: Extracting #6: cost 390 inf + 117282 126.919 * * [simplify]: Extracting #7: cost 43 inf + 402972 127.026 * * [simplify]: Extracting #8: cost 0 inf + 435212 127.136 * * [simplify]: Extracting #9: cost 0 inf + 434259 127.215 * [simplify]: Simplified to (* (pow (cbrt n) (/ (- 1 k) 2)) (pow (* PI 2) (/ (- 1 k) 2))) 127.216 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (sqrt k)) (* (pow (cbrt n) (/ (- 1 k) 2)) (pow (* PI 2) (/ (- 1 k) 2))))) 127.216 * * * * [progress]: [ 193 / 463 ] simplifiying candidate # 127.216 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ 1 2)))) 127.216 * * [simplify]: iters left: 6 (16 enodes) 127.226 * * [simplify]: iters left: 5 (65 enodes) 127.253 * * [simplify]: iters left: 4 (118 enodes) 127.297 * * [simplify]: iters left: 3 (237 enodes) 127.391 * * [simplify]: Extracting #0: cost 1 inf + 0 127.391 * * [simplify]: Extracting #1: cost 38 inf + 0 127.391 * * [simplify]: Extracting #2: cost 130 inf + 0 127.392 * * [simplify]: Extracting #3: cost 158 inf + 47 127.393 * * [simplify]: Extracting #4: cost 151 inf + 676 127.394 * * [simplify]: Extracting #5: cost 107 inf + 11334 127.402 * * [simplify]: Extracting #6: cost 14 inf + 69473 127.416 * * [simplify]: Extracting #7: cost 0 inf + 81840 127.434 * * [simplify]: Extracting #8: cost 0 inf + 81800 127.444 * [simplify]: Simplified to (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt k) (sqrt (* PI 2)))) 127.444 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt k) (sqrt (* PI 2)))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (pow (* 2 PI) (/ k 2))))) 127.444 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (pow (* 2 PI) (/ k 2))) 127.444 * * [simplify]: iters left: 6 (13 enodes) 127.448 * * [simplify]: iters left: 5 (53 enodes) 127.458 * * [simplify]: iters left: 4 (88 enodes) 127.486 * * [simplify]: iters left: 3 (178 enodes) 127.544 * * [simplify]: Extracting #0: cost 1 inf + 0 127.544 * * [simplify]: Extracting #1: cost 39 inf + 0 127.545 * * [simplify]: Extracting #2: cost 117 inf + 0 127.546 * * [simplify]: Extracting #3: cost 164 inf + 1 127.547 * * [simplify]: Extracting #4: cost 147 inf + 1671 127.551 * * [simplify]: Extracting #5: cost 92 inf + 15246 127.564 * * [simplify]: Extracting #6: cost 21 inf + 64552 127.573 * * [simplify]: Extracting #7: cost 0 inf + 82942 127.581 * [simplify]: Simplified to (/ (pow (cbrt n) (/ (- 1 k) 2)) (pow (* PI 2) (/ k 2))) 127.581 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt k) (sqrt (* PI 2)))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (pow (* PI 2) (/ k 2))))) 127.582 * * * * [progress]: [ 194 / 463 ] simplifiying candidate # 127.582 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (* (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 127.582 * * [simplify]: iters left: 6 (16 enodes) 127.586 * * [simplify]: iters left: 5 (64 enodes) 127.606 * * [simplify]: iters left: 4 (104 enodes) 127.639 * * [simplify]: iters left: 3 (171 enodes) 127.686 * * [simplify]: iters left: 2 (333 enodes) 127.797 * * [simplify]: Extracting #0: cost 1 inf + 0 127.797 * * [simplify]: Extracting #1: cost 54 inf + 0 127.798 * * [simplify]: Extracting #2: cost 148 inf + 0 127.799 * * [simplify]: Extracting #3: cost 213 inf + 2 127.800 * * [simplify]: Extracting #4: cost 234 inf + 93 127.803 * * [simplify]: Extracting #5: cost 240 inf + 2339 127.807 * * [simplify]: Extracting #6: cost 190 inf + 16572 127.823 * * [simplify]: Extracting #7: cost 132 inf + 55842 127.855 * * [simplify]: Extracting #8: cost 39 inf + 140689 127.881 * * [simplify]: Extracting #9: cost 0 inf + 175280 127.914 * * [simplify]: Extracting #10: cost 0 inf + 174978 127.958 * [simplify]: Simplified to (/ (pow (sqrt n) (/ (- 1 k) 2)) (* (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))) 127.958 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (* (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))))) 127.959 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 127.959 * * [simplify]: iters left: 6 (15 enodes) 127.969 * * [simplify]: iters left: 5 (59 enodes) 127.989 * * [simplify]: iters left: 4 (93 enodes) 128.018 * * [simplify]: iters left: 3 (145 enodes) 128.068 * * [simplify]: iters left: 2 (261 enodes) 128.150 * * [simplify]: Extracting #0: cost 1 inf + 0 128.150 * * [simplify]: Extracting #1: cost 30 inf + 0 128.151 * * [simplify]: Extracting #2: cost 72 inf + 0 128.151 * * [simplify]: Extracting #3: cost 125 inf + 2 128.152 * * [simplify]: Extracting #4: cost 147 inf + 52 128.152 * * [simplify]: Extracting #5: cost 160 inf + 1091 128.154 * * [simplify]: Extracting #6: cost 105 inf + 13799 128.161 * * [simplify]: Extracting #7: cost 32 inf + 62385 128.172 * * [simplify]: Extracting #8: cost 0 inf + 90003 128.184 * [simplify]: Simplified to (/ (pow (sqrt n) (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* PI 2) (- 1/2 (/ k 2)))))) 128.184 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (* (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) (/ (pow (sqrt n) (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* PI 2) (- 1/2 (/ k 2)))))))) 128.184 * * * * [progress]: [ 195 / 463 ] simplifiying candidate # 128.185 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 128.185 * * [simplify]: iters left: 6 (15 enodes) 128.193 * * [simplify]: iters left: 5 (59 enodes) 128.217 * * [simplify]: iters left: 4 (93 enodes) 128.237 * * [simplify]: iters left: 3 (145 enodes) 128.269 * * [simplify]: iters left: 2 (261 enodes) 128.350 * * [simplify]: Extracting #0: cost 1 inf + 0 128.350 * * [simplify]: Extracting #1: cost 30 inf + 0 128.350 * * [simplify]: Extracting #2: cost 72 inf + 0 128.351 * * [simplify]: Extracting #3: cost 125 inf + 2 128.352 * * [simplify]: Extracting #4: cost 147 inf + 52 128.353 * * [simplify]: Extracting #5: cost 160 inf + 1091 128.357 * * [simplify]: Extracting #6: cost 105 inf + 13719 128.364 * * [simplify]: Extracting #7: cost 32 inf + 61345 128.375 * * [simplify]: Extracting #8: cost 0 inf + 88523 128.386 * [simplify]: Simplified to (/ (pow (sqrt n) (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* PI 2) (- 1/2 (/ k 2)))))) 128.386 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (sqrt n) (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* PI 2) (- 1/2 (/ k 2)))))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))))) 128.387 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 128.387 * * [simplify]: iters left: 6 (15 enodes) 128.395 * * [simplify]: iters left: 5 (59 enodes) 128.416 * * [simplify]: iters left: 4 (93 enodes) 128.450 * * [simplify]: iters left: 3 (145 enodes) 128.476 * * [simplify]: iters left: 2 (261 enodes) 128.564 * * [simplify]: Extracting #0: cost 1 inf + 0 128.564 * * [simplify]: Extracting #1: cost 30 inf + 0 128.565 * * [simplify]: Extracting #2: cost 72 inf + 0 128.566 * * [simplify]: Extracting #3: cost 125 inf + 2 128.567 * * [simplify]: Extracting #4: cost 147 inf + 52 128.568 * * [simplify]: Extracting #5: cost 160 inf + 1091 128.572 * * [simplify]: Extracting #6: cost 105 inf + 13719 128.586 * * [simplify]: Extracting #7: cost 32 inf + 61345 128.607 * * [simplify]: Extracting #8: cost 0 inf + 88523 128.630 * [simplify]: Simplified to (/ (pow (sqrt n) (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* PI 2) (- 1/2 (/ k 2)))))) 128.630 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (pow (sqrt n) (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* PI 2) (- 1/2 (/ k 2)))))))) 128.630 * * * * [progress]: [ 196 / 463 ] simplifiying candidate # 128.631 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (/ (- 1 k) 2)))) 128.631 * * [simplify]: iters left: 6 (14 enodes) 128.636 * * [simplify]: iters left: 5 (59 enodes) 128.647 * * [simplify]: iters left: 4 (114 enodes) 128.677 * * [simplify]: iters left: 3 (275 enodes) 128.812 * * [simplify]: Extracting #0: cost 1 inf + 0 128.812 * * [simplify]: Extracting #1: cost 74 inf + 0 128.813 * * [simplify]: Extracting #2: cost 236 inf + 0 128.816 * * [simplify]: Extracting #3: cost 279 inf + 2 128.819 * * [simplify]: Extracting #4: cost 237 inf + 11912 128.835 * * [simplify]: Extracting #5: cost 82 inf + 109047 128.859 * * [simplify]: Extracting #6: cost 1 inf + 175024 128.882 * * [simplify]: Extracting #7: cost 0 inf + 176056 128.923 * [simplify]: Simplified to (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (/ (- 1 k) 2)))) 128.923 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (/ (- 1 k) 2)))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 128.924 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 128.924 * * [simplify]: iters left: 6 (14 enodes) 128.932 * * [simplify]: iters left: 5 (57 enodes) 128.952 * * [simplify]: iters left: 4 (100 enodes) 128.986 * * [simplify]: iters left: 3 (189 enodes) 129.045 * * [simplify]: Extracting #0: cost 1 inf + 0 129.046 * * [simplify]: Extracting #1: cost 38 inf + 0 129.046 * * [simplify]: Extracting #2: cost 129 inf + 0 129.047 * * [simplify]: Extracting #3: cost 165 inf + 2 129.048 * * [simplify]: Extracting #4: cost 153 inf + 838 129.053 * * [simplify]: Extracting #5: cost 98 inf + 16924 129.067 * * [simplify]: Extracting #6: cost 31 inf + 62780 129.078 * * [simplify]: Extracting #7: cost 1 inf + 84832 129.091 * * [simplify]: Extracting #8: cost 0 inf + 85132 129.101 * [simplify]: Simplified to (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 129.102 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (/ (- 1 k) 2)))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 129.102 * * * * [progress]: [ 197 / 463 ] simplifiying candidate # 129.102 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 129.103 * * [simplify]: iters left: 6 (18 enodes) 129.108 * * [simplify]: iters left: 5 (76 enodes) 129.122 * * [simplify]: iters left: 4 (139 enodes) 129.152 * * [simplify]: iters left: 3 (293 enodes) 129.249 * * [simplify]: Extracting #0: cost 1 inf + 0 129.249 * * [simplify]: Extracting #1: cost 63 inf + 0 129.249 * * [simplify]: Extracting #2: cost 171 inf + 0 129.250 * * [simplify]: Extracting #3: cost 220 inf + 0 129.254 * * [simplify]: Extracting #4: cost 213 inf + 1945 129.257 * * [simplify]: Extracting #5: cost 145 inf + 28688 129.275 * * [simplify]: Extracting #6: cost 20 inf + 126901 129.293 * * [simplify]: Extracting #7: cost 0 inf + 145743 129.324 * * [simplify]: Extracting #8: cost 0 inf + 145583 129.343 * [simplify]: Simplified to (/ (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 129.343 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 129.343 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 129.343 * * [simplify]: iters left: 6 (16 enodes) 129.347 * * [simplify]: iters left: 5 (64 enodes) 129.360 * * [simplify]: iters left: 4 (103 enodes) 129.377 * * [simplify]: iters left: 3 (171 enodes) 129.414 * * [simplify]: iters left: 2 (340 enodes) 129.500 * * [simplify]: Extracting #0: cost 1 inf + 0 129.500 * * [simplify]: Extracting #1: cost 60 inf + 0 129.501 * * [simplify]: Extracting #2: cost 174 inf + 0 129.502 * * [simplify]: Extracting #3: cost 246 inf + 2 129.505 * * [simplify]: Extracting #4: cost 260 inf + 1123 129.510 * * [simplify]: Extracting #5: cost 199 inf + 19924 129.543 * * [simplify]: Extracting #6: cost 33 inf + 153550 129.584 * * [simplify]: Extracting #7: cost 0 inf + 183055 129.606 * * [simplify]: Extracting #8: cost 0 inf + 181876 129.640 * [simplify]: Simplified to (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))))) 129.640 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))))))) 129.640 * * * * [progress]: [ 198 / 463 ] simplifiying candidate # 129.640 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 129.641 * * [simplify]: iters left: 6 (17 enodes) 129.650 * * [simplify]: iters left: 5 (69 enodes) 129.675 * * [simplify]: iters left: 4 (114 enodes) 129.715 * * [simplify]: iters left: 3 (225 enodes) 129.802 * * [simplify]: Extracting #0: cost 1 inf + 0 129.802 * * [simplify]: Extracting #1: cost 46 inf + 0 129.802 * * [simplify]: Extracting #2: cost 118 inf + 0 129.803 * * [simplify]: Extracting #3: cost 168 inf + 0 129.804 * * [simplify]: Extracting #4: cost 159 inf + 1376 129.805 * * [simplify]: Extracting #5: cost 114 inf + 12307 129.813 * * [simplify]: Extracting #6: cost 35 inf + 64097 129.832 * * [simplify]: Extracting #7: cost 0 inf + 91468 129.845 * * [simplify]: Extracting #8: cost 0 inf + 90733 129.857 * [simplify]: Simplified to (/ (pow (sqrt n) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (/ (cbrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 129.858 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (/ (cbrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 129.858 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 129.858 * * [simplify]: iters left: 6 (16 enodes) 129.862 * * [simplify]: iters left: 5 (64 enodes) 129.879 * * [simplify]: iters left: 4 (104 enodes) 129.917 * * [simplify]: iters left: 3 (172 enodes) 129.978 * * [simplify]: iters left: 2 (342 enodes) 130.131 * * [simplify]: Extracting #0: cost 1 inf + 0 130.131 * * [simplify]: Extracting #1: cost 60 inf + 0 130.132 * * [simplify]: Extracting #2: cost 174 inf + 0 130.133 * * [simplify]: Extracting #3: cost 250 inf + 2 130.136 * * [simplify]: Extracting #4: cost 253 inf + 2981 130.146 * * [simplify]: Extracting #5: cost 157 inf + 48821 130.183 * * [simplify]: Extracting #6: cost 16 inf + 168503 130.231 * * [simplify]: Extracting #7: cost 0 inf + 178075 130.258 * * [simplify]: Extracting #8: cost 0 inf + 177824 130.290 * [simplify]: Simplified to (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (cbrt (sqrt k)))) 130.290 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (/ (cbrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (cbrt (sqrt k)))))) 130.290 * * * * [progress]: [ 199 / 463 ] simplifiying candidate # 130.291 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 130.291 * * [simplify]: iters left: 6 (13 enodes) 130.298 * * [simplify]: iters left: 5 (52 enodes) 130.316 * * [simplify]: iters left: 4 (94 enodes) 130.339 * * [simplify]: iters left: 3 (170 enodes) 130.378 * * [simplify]: iters left: 2 (346 enodes) 130.552 * * [simplify]: Extracting #0: cost 1 inf + 0 130.552 * * [simplify]: Extracting #1: cost 74 inf + 0 130.553 * * [simplify]: Extracting #2: cost 204 inf + 1 130.554 * * [simplify]: Extracting #3: cost 273 inf + 3 130.555 * * [simplify]: Extracting #4: cost 258 inf + 2336 130.562 * * [simplify]: Extracting #5: cost 169 inf + 35259 130.595 * * [simplify]: Extracting #6: cost 25 inf + 128363 130.637 * * [simplify]: Extracting #7: cost 0 inf + 141825 130.685 * * [simplify]: Extracting #8: cost 0 inf + 141493 130.710 * [simplify]: Simplified to (/ (pow (sqrt n) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 130.710 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 130.710 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 130.711 * * [simplify]: iters left: 6 (15 enodes) 130.715 * * [simplify]: iters left: 5 (61 enodes) 130.727 * * [simplify]: iters left: 4 (104 enodes) 130.760 * * [simplify]: iters left: 3 (197 enodes) 130.826 * * [simplify]: Extracting #0: cost 1 inf + 0 130.826 * * [simplify]: Extracting #1: cost 38 inf + 0 130.826 * * [simplify]: Extracting #2: cost 129 inf + 0 130.827 * * [simplify]: Extracting #3: cost 167 inf + 1 130.827 * * [simplify]: Extracting #4: cost 154 inf + 1171 130.829 * * [simplify]: Extracting #5: cost 108 inf + 15060 130.836 * * [simplify]: Extracting #6: cost 30 inf + 66947 130.846 * * [simplify]: Extracting #7: cost 0 inf + 90713 130.862 * [simplify]: Simplified to (/ (* (pow (* 2 PI) (- 1/2 (/ k 2))) (pow (sqrt n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 130.863 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (* (pow (* 2 PI) (- 1/2 (/ k 2))) (pow (sqrt n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 130.863 * * * * [progress]: [ 200 / 463 ] simplifiying candidate # 130.863 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 130.863 * * [simplify]: iters left: 6 (17 enodes) 130.873 * * [simplify]: iters left: 5 (72 enodes) 130.895 * * [simplify]: iters left: 4 (131 enodes) 130.921 * * [simplify]: iters left: 3 (310 enodes) 131.127 * * [simplify]: Extracting #0: cost 1 inf + 0 131.127 * * [simplify]: Extracting #1: cost 76 inf + 0 131.128 * * [simplify]: Extracting #2: cost 251 inf + 0 131.129 * * [simplify]: Extracting #3: cost 300 inf + 1 131.131 * * [simplify]: Extracting #4: cost 271 inf + 3467 131.135 * * [simplify]: Extracting #5: cost 207 inf + 28024 131.151 * * [simplify]: Extracting #6: cost 77 inf + 126675 131.196 * * [simplify]: Extracting #7: cost 0 inf + 190958 131.234 * * [simplify]: Extracting #8: cost 0 inf + 190716 131.285 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 4)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (sqrt n) (/ (- 1 k) 2)))) 131.285 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* 2 PI) (/ (- 1 k) 4)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (sqrt n) (/ (- 1 k) 2)))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 131.286 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 131.286 * * [simplify]: iters left: 6 (16 enodes) 131.295 * * [simplify]: iters left: 5 (67 enodes) 131.317 * * [simplify]: iters left: 4 (114 enodes) 131.357 * * [simplify]: iters left: 3 (221 enodes) 131.426 * * [simplify]: Extracting #0: cost 1 inf + 0 131.426 * * [simplify]: Extracting #1: cost 38 inf + 0 131.427 * * [simplify]: Extracting #2: cost 127 inf + 0 131.428 * * [simplify]: Extracting #3: cost 175 inf + 1 131.429 * * [simplify]: Extracting #4: cost 160 inf + 1212 131.433 * * [simplify]: Extracting #5: cost 110 inf + 14015 131.446 * * [simplify]: Extracting #6: cost 27 inf + 65567 131.465 * * [simplify]: Extracting #7: cost 0 inf + 86908 131.484 * * [simplify]: Extracting #8: cost 0 inf + 86352 131.496 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 4)) (/ (cbrt (sqrt k)) (pow (sqrt n) (/ (- 1 k) 2)))) 131.496 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* 2 PI) (/ (- 1 k) 4)) (/ (cbrt (sqrt k)) (pow (sqrt n) (/ (- 1 k) 2)))))) 131.496 * * * * [progress]: [ 201 / 463 ] simplifiying candidate # 131.497 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow 2 (/ (- 1 k) 2)))) 131.497 * * [simplify]: iters left: 6 (14 enodes) 131.501 * * [simplify]: iters left: 5 (58 enodes) 131.513 * * [simplify]: iters left: 4 (101 enodes) 131.537 * * [simplify]: iters left: 3 (190 enodes) 131.594 * * [simplify]: iters left: 2 (495 enodes) 131.831 * * [simplify]: Extracting #0: cost 1 inf + 0 131.831 * * [simplify]: Extracting #1: cost 114 inf + 0 131.834 * * [simplify]: Extracting #2: cost 504 inf + 0 131.838 * * [simplify]: Extracting #3: cost 606 inf + 3 131.844 * * [simplify]: Extracting #4: cost 568 inf + 10942 131.864 * * [simplify]: Extracting #5: cost 360 inf + 145329 131.910 * * [simplify]: Extracting #6: cost 41 inf + 412657 132.012 * * [simplify]: Extracting #7: cost 0 inf + 444792 132.095 * * [simplify]: Extracting #8: cost 0 inf + 441624 132.173 * [simplify]: Simplified to (/ (* (pow 2 (/ (- 1 k) 2)) (pow (sqrt n) (/ (- 1 k) 2))) (fabs (cbrt k))) 132.173 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (pow 2 (/ (- 1 k) 2)) (pow (sqrt n) (/ (- 1 k) 2))) (fabs (cbrt k))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))))) 132.174 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))) 132.174 * * [simplify]: iters left: 6 (14 enodes) 132.178 * * [simplify]: iters left: 5 (57 enodes) 132.188 * * [simplify]: iters left: 4 (100 enodes) 132.208 * * [simplify]: iters left: 3 (189 enodes) 132.270 * * [simplify]: Extracting #0: cost 1 inf + 0 132.271 * * [simplify]: Extracting #1: cost 38 inf + 0 132.271 * * [simplify]: Extracting #2: cost 129 inf + 0 132.272 * * [simplify]: Extracting #3: cost 165 inf + 2 132.273 * * [simplify]: Extracting #4: cost 153 inf + 878 132.277 * * [simplify]: Extracting #5: cost 98 inf + 17004 132.291 * * [simplify]: Extracting #6: cost 31 inf + 62860 132.311 * * [simplify]: Extracting #7: cost 1 inf + 84912 132.332 * * [simplify]: Extracting #8: cost 0 inf + 85212 132.351 * [simplify]: Simplified to (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))) 132.352 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (pow 2 (/ (- 1 k) 2)) (pow (sqrt n) (/ (- 1 k) 2))) (fabs (cbrt k))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))))) 132.352 * * * * [progress]: [ 202 / 463 ] simplifiying candidate # 132.352 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 132.352 * * [simplify]: iters left: 6 (18 enodes) 132.362 * * [simplify]: iters left: 5 (73 enodes) 132.385 * * [simplify]: iters left: 4 (114 enodes) 132.426 * * [simplify]: iters left: 3 (201 enodes) 132.477 * * [simplify]: iters left: 2 (456 enodes) 132.629 * * [simplify]: Extracting #0: cost 1 inf + 0 132.629 * * [simplify]: Extracting #1: cost 90 inf + 0 132.630 * * [simplify]: Extracting #2: cost 283 inf + 0 132.631 * * [simplify]: Extracting #3: cost 377 inf + 2 132.633 * * [simplify]: Extracting #4: cost 365 inf + 6535 132.638 * * [simplify]: Extracting #5: cost 293 inf + 37158 132.646 * * [simplify]: Extracting #6: cost 230 inf + 74886 132.667 * * [simplify]: Extracting #7: cost 137 inf + 153527 132.716 * * [simplify]: Extracting #8: cost 6 inf + 284560 132.789 * * [simplify]: Extracting #9: cost 0 inf + 290534 132.846 * [simplify]: Simplified to (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (fabs (cbrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 132.846 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (fabs (cbrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 132.846 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 132.846 * * [simplify]: iters left: 6 (16 enodes) 132.851 * * [simplify]: iters left: 5 (64 enodes) 132.862 * * [simplify]: iters left: 4 (103 enodes) 132.880 * * [simplify]: iters left: 3 (171 enodes) 132.915 * * [simplify]: iters left: 2 (340 enodes) 133.007 * * [simplify]: Extracting #0: cost 1 inf + 0 133.007 * * [simplify]: Extracting #1: cost 60 inf + 0 133.008 * * [simplify]: Extracting #2: cost 174 inf + 0 133.009 * * [simplify]: Extracting #3: cost 246 inf + 2 133.010 * * [simplify]: Extracting #4: cost 260 inf + 1203 133.013 * * [simplify]: Extracting #5: cost 199 inf + 20004 133.027 * * [simplify]: Extracting #6: cost 33 inf + 153630 133.048 * * [simplify]: Extracting #7: cost 0 inf + 183135 133.074 * * [simplify]: Extracting #8: cost 0 inf + 181956 133.116 * [simplify]: Simplified to (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))))) 133.116 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (fabs (cbrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))))))) 133.116 * * * * [progress]: [ 203 / 463 ] simplifiying candidate # 133.117 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 133.117 * * [simplify]: iters left: 6 (17 enodes) 133.126 * * [simplify]: iters left: 5 (68 enodes) 133.137 * * [simplify]: iters left: 4 (104 enodes) 133.155 * * [simplify]: iters left: 3 (174 enodes) 133.220 * * [simplify]: iters left: 2 (362 enodes) 133.331 * * [simplify]: Extracting #0: cost 1 inf + 0 133.331 * * [simplify]: Extracting #1: cost 60 inf + 0 133.332 * * [simplify]: Extracting #2: cost 178 inf + 0 133.333 * * [simplify]: Extracting #3: cost 254 inf + 2 133.334 * * [simplify]: Extracting #4: cost 248 inf + 4437 133.339 * * [simplify]: Extracting #5: cost 167 inf + 38050 133.370 * * [simplify]: Extracting #6: cost 34 inf + 142684 133.410 * * [simplify]: Extracting #7: cost 0 inf + 171947 133.454 * [simplify]: Simplified to (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (fabs (cbrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 133.454 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (fabs (cbrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 133.454 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 133.454 * * [simplify]: iters left: 6 (16 enodes) 133.463 * * [simplify]: iters left: 5 (64 enodes) 133.484 * * [simplify]: iters left: 4 (104 enodes) 133.518 * * [simplify]: iters left: 3 (172 enodes) 133.557 * * [simplify]: iters left: 2 (342 enodes) 133.661 * * [simplify]: Extracting #0: cost 1 inf + 0 133.661 * * [simplify]: Extracting #1: cost 60 inf + 0 133.661 * * [simplify]: Extracting #2: cost 174 inf + 0 133.663 * * [simplify]: Extracting #3: cost 250 inf + 2 133.665 * * [simplify]: Extracting #4: cost 253 inf + 3021 133.676 * * [simplify]: Extracting #5: cost 157 inf + 48901 133.705 * * [simplify]: Extracting #6: cost 16 inf + 168583 133.729 * * [simplify]: Extracting #7: cost 0 inf + 178155 133.762 * * [simplify]: Extracting #8: cost 0 inf + 177904 133.786 * [simplify]: Simplified to (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt (cbrt k)))) 133.786 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (fabs (cbrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt (cbrt k)))))) 133.786 * * * * [progress]: [ 204 / 463 ] simplifiying candidate # 133.787 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) 1)) 133.787 * * [simplify]: iters left: 6 (13 enodes) 133.790 * * [simplify]: iters left: 5 (50 enodes) 133.802 * * [simplify]: iters left: 4 (79 enodes) 133.826 * * [simplify]: iters left: 3 (116 enodes) 133.867 * * [simplify]: iters left: 2 (207 enodes) 133.955 * * [simplify]: iters left: 1 (401 enodes) 134.138 * * [simplify]: Extracting #0: cost 1 inf + 0 134.138 * * [simplify]: Extracting #1: cost 38 inf + 0 134.139 * * [simplify]: Extracting #2: cost 111 inf + 1 134.140 * * [simplify]: Extracting #3: cost 178 inf + 4 134.142 * * [simplify]: Extracting #4: cost 174 inf + 1507 134.147 * * [simplify]: Extracting #5: cost 119 inf + 11145 134.163 * * [simplify]: Extracting #6: cost 39 inf + 57465 134.189 * * [simplify]: Extracting #7: cost 0 inf + 88939 134.215 * * [simplify]: Extracting #8: cost 0 inf + 88179 134.231 * * [simplify]: Extracting #9: cost 0 inf + 87966 134.246 * [simplify]: Simplified to (/ (pow (sqrt n) (/ (- 1 k) 2)) (fabs (cbrt k))) 134.246 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 134.246 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 134.246 * * [simplify]: iters left: 6 (15 enodes) 134.250 * * [simplify]: iters left: 5 (61 enodes) 134.265 * * [simplify]: iters left: 4 (104 enodes) 134.302 * * [simplify]: iters left: 3 (197 enodes) 134.364 * * [simplify]: Extracting #0: cost 1 inf + 0 134.364 * * [simplify]: Extracting #1: cost 38 inf + 0 134.364 * * [simplify]: Extracting #2: cost 129 inf + 0 134.365 * * [simplify]: Extracting #3: cost 167 inf + 1 134.366 * * [simplify]: Extracting #4: cost 154 inf + 1211 134.370 * * [simplify]: Extracting #5: cost 108 inf + 15140 134.383 * * [simplify]: Extracting #6: cost 30 inf + 67027 134.393 * * [simplify]: Extracting #7: cost 0 inf + 90793 134.403 * [simplify]: Simplified to (/ (* (pow (* 2 PI) (- 1/2 (/ k 2))) (pow (sqrt n) (- 1/2 (/ k 2)))) (sqrt (cbrt k))) 134.403 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (* (pow (* 2 PI) (- 1/2 (/ k 2))) (pow (sqrt n) (- 1/2 (/ k 2)))) (sqrt (cbrt k))))) 134.403 * * * * [progress]: [ 205 / 463 ] simplifiying candidate # 134.403 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 134.403 * * [simplify]: iters left: 6 (17 enodes) 134.408 * * [simplify]: iters left: 5 (71 enodes) 134.432 * * [simplify]: iters left: 4 (118 enodes) 134.458 * * [simplify]: iters left: 3 (225 enodes) 134.541 * * [simplify]: Extracting #0: cost 1 inf + 0 134.541 * * [simplify]: Extracting #1: cost 38 inf + 0 134.542 * * [simplify]: Extracting #2: cost 132 inf + 0 134.542 * * [simplify]: Extracting #3: cost 181 inf + 1 134.543 * * [simplify]: Extracting #4: cost 167 inf + 1257 134.545 * * [simplify]: Extracting #5: cost 114 inf + 17003 134.554 * * [simplify]: Extracting #6: cost 13 inf + 80164 134.569 * * [simplify]: Extracting #7: cost 0 inf + 89079 134.591 * * [simplify]: Extracting #8: cost 0 inf + 88953 134.614 * * [simplify]: Extracting #9: cost 0 inf + 88911 134.630 * [simplify]: Simplified to (* (/ (pow (sqrt n) (- 1/4 (/ k 4))) (fabs (cbrt k))) (* (pow (sqrt n) (- 1/4 (/ k 4))) (pow (* 2 PI) (- 1/4 (/ k 4))))) 134.630 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (pow (sqrt n) (- 1/4 (/ k 4))) (fabs (cbrt k))) (* (pow (sqrt n) (- 1/4 (/ k 4))) (pow (* 2 PI) (- 1/4 (/ k 4))))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 134.631 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 134.631 * * [simplify]: iters left: 6 (16 enodes) 134.636 * * [simplify]: iters left: 5 (67 enodes) 134.648 * * [simplify]: iters left: 4 (114 enodes) 134.683 * * [simplify]: iters left: 3 (221 enodes) 134.749 * * [simplify]: Extracting #0: cost 1 inf + 0 134.749 * * [simplify]: Extracting #1: cost 38 inf + 0 134.749 * * [simplify]: Extracting #2: cost 127 inf + 0 134.750 * * [simplify]: Extracting #3: cost 175 inf + 1 134.751 * * [simplify]: Extracting #4: cost 160 inf + 1252 134.753 * * [simplify]: Extracting #5: cost 110 inf + 14095 134.759 * * [simplify]: Extracting #6: cost 27 inf + 65647 134.769 * * [simplify]: Extracting #7: cost 0 inf + 86988 134.792 * * [simplify]: Extracting #8: cost 0 inf + 86432 134.812 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 4)) (/ (sqrt (cbrt k)) (pow (sqrt n) (/ (- 1 k) 2)))) 134.812 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* 2 PI) (/ (- 1 k) 4)) (/ (sqrt (cbrt k)) (pow (sqrt n) (/ (- 1 k) 2)))))) 134.812 * * * * [progress]: [ 206 / 463 ] simplifiying candidate # 134.813 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 134.813 * * [simplify]: iters left: 6 (13 enodes) 134.820 * * [simplify]: iters left: 5 (54 enodes) 134.840 * * [simplify]: iters left: 4 (97 enodes) 134.874 * * [simplify]: iters left: 3 (190 enodes) 134.964 * * [simplify]: Extracting #0: cost 1 inf + 0 134.964 * * [simplify]: Extracting #1: cost 38 inf + 0 134.965 * * [simplify]: Extracting #2: cost 129 inf + 0 134.965 * * [simplify]: Extracting #3: cost 163 inf + 2 134.967 * * [simplify]: Extracting #4: cost 151 inf + 1255 134.970 * * [simplify]: Extracting #5: cost 105 inf + 14568 134.982 * * [simplify]: Extracting #6: cost 37 inf + 55588 135.000 * * [simplify]: Extracting #7: cost 0 inf + 83538 135.019 * * [simplify]: Extracting #8: cost 0 inf + 82873 135.034 * [simplify]: Simplified to (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 135.034 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 135.034 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 135.034 * * [simplify]: iters left: 6 (14 enodes) 135.038 * * [simplify]: iters left: 5 (57 enodes) 135.051 * * [simplify]: iters left: 4 (100 enodes) 135.088 * * [simplify]: iters left: 3 (189 enodes) 135.172 * * [simplify]: Extracting #0: cost 1 inf + 0 135.173 * * [simplify]: Extracting #1: cost 38 inf + 0 135.173 * * [simplify]: Extracting #2: cost 129 inf + 0 135.174 * * [simplify]: Extracting #3: cost 165 inf + 2 135.175 * * [simplify]: Extracting #4: cost 153 inf + 798 135.180 * * [simplify]: Extracting #5: cost 98 inf + 16444 135.193 * * [simplify]: Extracting #6: cost 31 inf + 61020 135.217 * * [simplify]: Extracting #7: cost 1 inf + 82352 135.229 * * [simplify]: Extracting #8: cost 0 inf + 82612 135.239 * [simplify]: Simplified to (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 135.240 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 135.240 * * * * [progress]: [ 207 / 463 ] simplifiying candidate # 135.240 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 135.240 * * [simplify]: iters left: 6 (17 enodes) 135.245 * * [simplify]: iters left: 5 (69 enodes) 135.259 * * [simplify]: iters left: 4 (110 enodes) 135.296 * * [simplify]: iters left: 3 (197 enodes) 135.350 * * [simplify]: iters left: 2 (451 enodes) 135.549 * * [simplify]: Extracting #0: cost 1 inf + 0 135.549 * * [simplify]: Extracting #1: cost 83 inf + 0 135.550 * * [simplify]: Extracting #2: cost 277 inf + 0 135.553 * * [simplify]: Extracting #3: cost 373 inf + 2 135.557 * * [simplify]: Extracting #4: cost 359 inf + 6836 135.574 * * [simplify]: Extracting #5: cost 213 inf + 97280 135.602 * * [simplify]: Extracting #6: cost 49 inf + 243783 135.671 * * [simplify]: Extracting #7: cost 0 inf + 289487 135.713 * * [simplify]: Extracting #8: cost 0 inf + 287692 135.780 * * [simplify]: Extracting #9: cost 0 inf + 287481 135.831 * [simplify]: Simplified to (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 135.831 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 135.832 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 135.832 * * [simplify]: iters left: 6 (16 enodes) 135.841 * * [simplify]: iters left: 5 (64 enodes) 135.862 * * [simplify]: iters left: 4 (103 enodes) 135.895 * * [simplify]: iters left: 3 (171 enodes) 135.961 * * [simplify]: iters left: 2 (340 enodes) 136.046 * * [simplify]: Extracting #0: cost 1 inf + 0 136.046 * * [simplify]: Extracting #1: cost 60 inf + 0 136.046 * * [simplify]: Extracting #2: cost 174 inf + 0 136.047 * * [simplify]: Extracting #3: cost 246 inf + 2 136.048 * * [simplify]: Extracting #4: cost 260 inf + 1043 136.051 * * [simplify]: Extracting #5: cost 199 inf + 19444 136.070 * * [simplify]: Extracting #6: cost 33 inf + 150150 136.112 * * [simplify]: Extracting #7: cost 0 inf + 179175 136.154 * * [simplify]: Extracting #8: cost 0 inf + 177996 136.189 * [simplify]: Simplified to (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))))) 136.189 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))))))) 136.189 * * * * [progress]: [ 208 / 463 ] simplifiying candidate # 136.189 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 136.190 * * [simplify]: iters left: 6 (16 enodes) 136.194 * * [simplify]: iters left: 5 (64 enodes) 136.205 * * [simplify]: iters left: 4 (104 enodes) 136.232 * * [simplify]: iters left: 3 (172 enodes) 136.277 * * [simplify]: iters left: 2 (342 enodes) 136.390 * * [simplify]: Extracting #0: cost 1 inf + 0 136.390 * * [simplify]: Extracting #1: cost 60 inf + 0 136.391 * * [simplify]: Extracting #2: cost 174 inf + 0 136.391 * * [simplify]: Extracting #3: cost 250 inf + 2 136.393 * * [simplify]: Extracting #4: cost 253 inf + 2901 136.398 * * [simplify]: Extracting #5: cost 157 inf + 47901 136.424 * * [simplify]: Extracting #6: cost 16 inf + 164863 136.445 * * [simplify]: Extracting #7: cost 0 inf + 174195 136.491 * * [simplify]: Extracting #8: cost 0 inf + 173944 136.516 * [simplify]: Simplified to (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) 136.516 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 136.516 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 136.516 * * [simplify]: iters left: 6 (16 enodes) 136.521 * * [simplify]: iters left: 5 (64 enodes) 136.534 * * [simplify]: iters left: 4 (104 enodes) 136.567 * * [simplify]: iters left: 3 (172 enodes) 136.605 * * [simplify]: iters left: 2 (342 enodes) 136.739 * * [simplify]: Extracting #0: cost 1 inf + 0 136.739 * * [simplify]: Extracting #1: cost 60 inf + 0 136.739 * * [simplify]: Extracting #2: cost 174 inf + 0 136.740 * * [simplify]: Extracting #3: cost 250 inf + 2 136.741 * * [simplify]: Extracting #4: cost 253 inf + 2901 136.746 * * [simplify]: Extracting #5: cost 157 inf + 47901 136.764 * * [simplify]: Extracting #6: cost 16 inf + 164863 136.791 * * [simplify]: Extracting #7: cost 0 inf + 174195 136.832 * * [simplify]: Extracting #8: cost 0 inf + 173944 136.854 * [simplify]: Simplified to (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) 136.854 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt (sqrt k)))))) 136.854 * * * * [progress]: [ 209 / 463 ] simplifiying candidate # 136.854 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) 1)) 136.855 * * [simplify]: iters left: 6 (12 enodes) 136.859 * * [simplify]: iters left: 5 (47 enodes) 136.875 * * [simplify]: iters left: 4 (72 enodes) 136.893 * * [simplify]: iters left: 3 (119 enodes) 136.919 * * [simplify]: iters left: 2 (246 enodes) 136.996 * * [simplify]: Extracting #0: cost 1 inf + 0 136.996 * * [simplify]: Extracting #1: cost 28 inf + 0 136.997 * * [simplify]: Extracting #2: cost 82 inf + 1 136.998 * * [simplify]: Extracting #3: cost 138 inf + 3 136.999 * * [simplify]: Extracting #4: cost 132 inf + 1425 137.005 * * [simplify]: Extracting #5: cost 49 inf + 28575 137.017 * * [simplify]: Extracting #6: cost 3 inf + 54685 137.028 * * [simplify]: Extracting #7: cost 0 inf + 56549 137.035 * [simplify]: Simplified to (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 137.035 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 137.036 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 137.036 * * [simplify]: iters left: 6 (15 enodes) 137.040 * * [simplify]: iters left: 5 (61 enodes) 137.051 * * [simplify]: iters left: 4 (104 enodes) 137.085 * * [simplify]: iters left: 3 (197 enodes) 137.166 * * [simplify]: Extracting #0: cost 1 inf + 0 137.166 * * [simplify]: Extracting #1: cost 38 inf + 0 137.166 * * [simplify]: Extracting #2: cost 129 inf + 0 137.167 * * [simplify]: Extracting #3: cost 167 inf + 1 137.168 * * [simplify]: Extracting #4: cost 154 inf + 1131 137.172 * * [simplify]: Extracting #5: cost 108 inf + 14660 137.183 * * [simplify]: Extracting #6: cost 30 inf + 65107 137.200 * * [simplify]: Extracting #7: cost 0 inf + 88193 137.216 * [simplify]: Simplified to (/ (* (pow (* 2 PI) (- 1/2 (/ k 2))) (pow (sqrt n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 137.216 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (* (pow (* 2 PI) (- 1/2 (/ k 2))) (pow (sqrt n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 137.216 * * * * [progress]: [ 210 / 463 ] simplifiying candidate # 137.216 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 137.216 * * [simplify]: iters left: 6 (16 enodes) 137.221 * * [simplify]: iters left: 5 (67 enodes) 137.233 * * [simplify]: iters left: 4 (114 enodes) 137.257 * * [simplify]: iters left: 3 (221 enodes) 137.306 * * [simplify]: Extracting #0: cost 1 inf + 0 137.306 * * [simplify]: Extracting #1: cost 38 inf + 0 137.307 * * [simplify]: Extracting #2: cost 127 inf + 0 137.307 * * [simplify]: Extracting #3: cost 175 inf + 1 137.308 * * [simplify]: Extracting #4: cost 160 inf + 1172 137.310 * * [simplify]: Extracting #5: cost 110 inf + 13615 137.316 * * [simplify]: Extracting #6: cost 27 inf + 63647 137.719 * * [simplify]: Extracting #7: cost 0 inf + 84388 137.740 * * [simplify]: Extracting #8: cost 0 inf + 83832 137.760 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 4)) (/ (sqrt (sqrt k)) (pow (sqrt n) (/ (- 1 k) 2)))) 137.760 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* 2 PI) (/ (- 1 k) 4)) (/ (sqrt (sqrt k)) (pow (sqrt n) (/ (- 1 k) 2)))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 137.760 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 137.760 * * [simplify]: iters left: 6 (16 enodes) 137.770 * * [simplify]: iters left: 5 (67 enodes) 137.792 * * [simplify]: iters left: 4 (114 enodes) 137.832 * * [simplify]: iters left: 3 (221 enodes) 137.925 * * [simplify]: Extracting #0: cost 1 inf + 0 137.925 * * [simplify]: Extracting #1: cost 38 inf + 0 137.926 * * [simplify]: Extracting #2: cost 127 inf + 0 137.927 * * [simplify]: Extracting #3: cost 175 inf + 1 137.928 * * [simplify]: Extracting #4: cost 160 inf + 1172 137.932 * * [simplify]: Extracting #5: cost 110 inf + 13615 137.945 * * [simplify]: Extracting #6: cost 27 inf + 63647 137.964 * * [simplify]: Extracting #7: cost 0 inf + 84388 137.980 * * [simplify]: Extracting #8: cost 0 inf + 83832 137.990 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 4)) (/ (sqrt (sqrt k)) (pow (sqrt n) (/ (- 1 k) 2)))) 137.990 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* 2 PI) (/ (- 1 k) 4)) (/ (sqrt (sqrt k)) (pow (sqrt n) (/ (- 1 k) 2)))))) 137.990 * * * * [progress]: [ 211 / 463 ] simplifiying candidate # 137.990 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt 1) (pow 2 (/ (- 1 k) 2)))) 137.991 * * [simplify]: iters left: 6 (12 enodes) 137.997 * * [simplify]: iters left: 5 (51 enodes) 138.005 * * [simplify]: iters left: 4 (85 enodes) 138.025 * * [simplify]: iters left: 3 (163 enodes) 138.077 * * [simplify]: iters left: 2 (460 enodes) 138.350 * * [simplify]: Extracting #0: cost 1 inf + 0 138.351 * * [simplify]: Extracting #1: cost 123 inf + 0 138.354 * * [simplify]: Extracting #2: cost 449 inf + 1 138.363 * * [simplify]: Extracting #3: cost 512 inf + 4 138.368 * * [simplify]: Extracting #4: cost 516 inf + 93 138.374 * * [simplify]: Extracting #5: cost 463 inf + 15793 138.407 * * [simplify]: Extracting #6: cost 235 inf + 162852 138.486 * * [simplify]: Extracting #7: cost 11 inf + 338134 138.564 * * [simplify]: Extracting #8: cost 0 inf + 342212 138.608 * * [simplify]: Extracting #9: cost 0 inf + 341635 138.651 * [simplify]: Simplified to (* (pow 2 (/ (- 1 k) 2)) (pow (sqrt n) (/ (- 1 k) 2))) 138.651 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow 2 (/ (- 1 k) 2)) (pow (sqrt n) (/ (- 1 k) 2))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 138.652 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 138.652 * * [simplify]: iters left: 6 (13 enodes) 138.656 * * [simplify]: iters left: 5 (54 enodes) 138.667 * * [simplify]: iters left: 4 (97 enodes) 138.686 * * [simplify]: iters left: 3 (190 enodes) 138.762 * * [simplify]: Extracting #0: cost 1 inf + 0 138.762 * * [simplify]: Extracting #1: cost 38 inf + 0 138.763 * * [simplify]: Extracting #2: cost 129 inf + 0 138.764 * * [simplify]: Extracting #3: cost 160 inf + 44 138.765 * * [simplify]: Extracting #4: cost 149 inf + 1216 138.768 * * [simplify]: Extracting #5: cost 105 inf + 14441 138.781 * * [simplify]: Extracting #6: cost 27 inf + 61547 138.800 * * [simplify]: Extracting #7: cost 0 inf + 80840 138.818 * * [simplify]: Extracting #8: cost 0 inf + 80186 138.836 * [simplify]: Simplified to (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 138.837 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow 2 (/ (- 1 k) 2)) (pow (sqrt n) (/ (- 1 k) 2))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 138.837 * * * * [progress]: [ 212 / 463 ] simplifiying candidate # 138.837 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt 1) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 138.837 * * [simplify]: iters left: 6 (16 enodes) 138.847 * * [simplify]: iters left: 5 (66 enodes) 138.862 * * [simplify]: iters left: 4 (109 enodes) 138.883 * * [simplify]: iters left: 3 (191 enodes) 138.928 * * [simplify]: iters left: 2 (422 enodes) 139.147 * * [simplify]: Extracting #0: cost 1 inf + 0 139.148 * * [simplify]: Extracting #1: cost 88 inf + 0 139.150 * * [simplify]: Extracting #2: cost 262 inf + 1 139.152 * * [simplify]: Extracting #3: cost 332 inf + 3 139.155 * * [simplify]: Extracting #4: cost 360 inf + 93 139.159 * * [simplify]: Extracting #5: cost 334 inf + 3499 139.166 * * [simplify]: Extracting #6: cost 284 inf + 19807 139.197 * * [simplify]: Extracting #7: cost 99 inf + 155120 139.241 * * [simplify]: Extracting #8: cost 5 inf + 242512 139.314 * * [simplify]: Extracting #9: cost 0 inf + 244833 139.363 * * [simplify]: Extracting #10: cost 0 inf + 243824 139.431 * * [simplify]: Extracting #11: cost 0 inf + 243613 139.475 * [simplify]: Simplified to (* (pow (sqrt n) (/ (- 1 k) 2)) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))) 139.475 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (sqrt n) (/ (- 1 k) 2)) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 139.476 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 139.476 * * [simplify]: iters left: 6 (15 enodes) 139.480 * * [simplify]: iters left: 5 (61 enodes) 139.492 * * [simplify]: iters left: 4 (100 enodes) 139.510 * * [simplify]: iters left: 3 (172 enodes) 139.547 * * [simplify]: iters left: 2 (347 enodes) 139.646 * * [simplify]: Extracting #0: cost 1 inf + 0 139.646 * * [simplify]: Extracting #1: cost 60 inf + 0 139.647 * * [simplify]: Extracting #2: cost 175 inf + 0 139.647 * * [simplify]: Extracting #3: cost 242 inf + 44 139.649 * * [simplify]: Extracting #4: cost 241 inf + 5207 139.653 * * [simplify]: Extracting #5: cost 170 inf + 32938 139.664 * * [simplify]: Extracting #6: cost 84 inf + 87246 139.698 * * [simplify]: Extracting #7: cost 5 inf + 163776 139.719 * * [simplify]: Extracting #8: cost 0 inf + 167995 139.760 * * [simplify]: Extracting #9: cost 0 inf + 167743 139.784 * [simplify]: Simplified to (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt k))) 139.784 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt 1) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt k))))) 139.784 * * * * [progress]: [ 213 / 463 ] simplifiying candidate # 139.784 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt 1) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 139.785 * * [simplify]: iters left: 6 (15 enodes) 139.790 * * [simplify]: iters left: 5 (61 enodes) 139.809 * * [simplify]: iters left: 4 (96 enodes) 139.840 * * [simplify]: iters left: 3 (158 enodes) 139.896 * * [simplify]: iters left: 2 (319 enodes) 140.051 * * [simplify]: Extracting #0: cost 1 inf + 0 140.052 * * [simplify]: Extracting #1: cost 53 inf + 0 140.052 * * [simplify]: Extracting #2: cost 145 inf + 1 140.053 * * [simplify]: Extracting #3: cost 206 inf + 3 140.054 * * [simplify]: Extracting #4: cost 237 inf + 93 140.055 * * [simplify]: Extracting #5: cost 207 inf + 5621 140.060 * * [simplify]: Extracting #6: cost 120 inf + 41565 140.078 * * [simplify]: Extracting #7: cost 22 inf + 116257 140.111 * * [simplify]: Extracting #8: cost 0 inf + 133458 140.146 * * [simplify]: Extracting #9: cost 0 inf + 132017 140.170 * [simplify]: Simplified to (* (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (pow (sqrt n) (/ (- 1 k) 2))) 140.170 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (pow (sqrt n) (/ (- 1 k) 2))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 140.171 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 140.171 * * [simplify]: iters left: 6 (15 enodes) 140.175 * * [simplify]: iters left: 5 (61 enodes) 140.186 * * [simplify]: iters left: 4 (101 enodes) 140.222 * * [simplify]: iters left: 3 (173 enodes) 140.266 * * [simplify]: iters left: 2 (344 enodes) 140.407 * * [simplify]: Extracting #0: cost 1 inf + 0 140.407 * * [simplify]: Extracting #1: cost 60 inf + 0 140.408 * * [simplify]: Extracting #2: cost 171 inf + 0 140.410 * * [simplify]: Extracting #3: cost 243 inf + 44 140.413 * * [simplify]: Extracting #4: cost 238 inf + 5870 140.426 * * [simplify]: Extracting #5: cost 118 inf + 66659 140.464 * * [simplify]: Extracting #6: cost 16 inf + 145015 140.504 * * [simplify]: Extracting #7: cost 0 inf + 159570 140.526 * [simplify]: Simplified to (/ (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (sqrt k) (pow (sqrt n) (/ (- 1 k) 2)))) 140.526 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt 1) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (sqrt k) (pow (sqrt n) (/ (- 1 k) 2)))))) 140.526 * * * * [progress]: [ 214 / 463 ] simplifiying candidate # 140.527 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt 1) 1)) 140.527 * * [simplify]: iters left: 6 (11 enodes) 140.531 * * [simplify]: iters left: 5 (44 enodes) 140.539 * * [simplify]: iters left: 4 (65 enodes) 140.550 * * [simplify]: iters left: 3 (106 enodes) 140.584 * * [simplify]: iters left: 2 (212 enodes) 140.644 * * [simplify]: iters left: 1 (434 enodes) 140.867 * * [simplify]: Extracting #0: cost 1 inf + 0 140.867 * * [simplify]: Extracting #1: cost 55 inf + 0 140.867 * * [simplify]: Extracting #2: cost 162 inf + 2 140.868 * * [simplify]: Extracting #3: cost 211 inf + 90 140.870 * * [simplify]: Extracting #4: cost 199 inf + 1344 140.873 * * [simplify]: Extracting #5: cost 110 inf + 21921 140.886 * * [simplify]: Extracting #6: cost 23 inf + 83114 140.909 * * [simplify]: Extracting #7: cost 0 inf + 101765 140.925 * [simplify]: Simplified to (pow (sqrt n) (* 1/2 (- 1 k))) 140.925 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (sqrt n) (* 1/2 (- 1 k))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 140.925 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 140.925 * * [simplify]: iters left: 6 (14 enodes) 140.933 * * [simplify]: iters left: 5 (58 enodes) 140.942 * * [simplify]: iters left: 4 (101 enodes) 140.960 * * [simplify]: iters left: 3 (190 enodes) 141.010 * * [simplify]: iters left: 2 (495 enodes) 141.211 * * [simplify]: Extracting #0: cost 1 inf + 0 141.211 * * [simplify]: Extracting #1: cost 119 inf + 0 141.214 * * [simplify]: Extracting #2: cost 501 inf + 0 141.218 * * [simplify]: Extracting #3: cost 600 inf + 85 141.223 * * [simplify]: Extracting #4: cost 585 inf + 3452 141.232 * * [simplify]: Extracting #5: cost 526 inf + 19820 141.283 * * [simplify]: Extracting #6: cost 188 inf + 276311 141.340 * * [simplify]: Extracting #7: cost 13 inf + 430206 141.400 * * [simplify]: Extracting #8: cost 0 inf + 436391 141.459 * [simplify]: Simplified to (* (pow (* PI 2) (/ (- 1 k) 2)) (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt k))) 141.459 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt 1) 1)) (* (pow (* PI 2) (/ (- 1 k) 2)) (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt k))))) 141.459 * * * * [progress]: [ 215 / 463 ] simplifiying candidate # 141.459 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt 1) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 141.459 * * [simplify]: iters left: 6 (15 enodes) 141.464 * * [simplify]: iters left: 5 (64 enodes) 141.487 * * [simplify]: iters left: 4 (106 enodes) 141.524 * * [simplify]: iters left: 3 (200 enodes) 141.579 * * [simplify]: iters left: 2 (492 enodes) 141.927 * * [simplify]: Extracting #0: cost 1 inf + 0 141.927 * * [simplify]: Extracting #1: cost 123 inf + 0 141.928 * * [simplify]: Extracting #2: cost 414 inf + 1 141.931 * * [simplify]: Extracting #3: cost 485 inf + 3 141.935 * * [simplify]: Extracting #4: cost 489 inf + 140 141.942 * * [simplify]: Extracting #5: cost 434 inf + 11326 141.966 * * [simplify]: Extracting #6: cost 242 inf + 118264 142.024 * * [simplify]: Extracting #7: cost 31 inf + 305267 142.093 * * [simplify]: Extracting #8: cost 0 inf + 334481 142.146 * * [simplify]: Extracting #9: cost 0 inf + 334016 142.196 * * [simplify]: Extracting #10: cost 0 inf + 333936 142.270 * [simplify]: Simplified to (* (pow (* PI 2) (/ (- 1 k) 4)) (pow (sqrt n) (/ (- 1 k) 2))) 142.270 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (* PI 2) (/ (- 1 k) 4)) (pow (sqrt n) (/ (- 1 k) 2))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 142.270 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 142.271 * * [simplify]: iters left: 6 (15 enodes) 142.275 * * [simplify]: iters left: 5 (64 enodes) 142.287 * * [simplify]: iters left: 4 (111 enodes) 142.319 * * [simplify]: iters left: 3 (218 enodes) 142.387 * * [simplify]: Extracting #0: cost 1 inf + 0 142.387 * * [simplify]: Extracting #1: cost 38 inf + 0 142.388 * * [simplify]: Extracting #2: cost 127 inf + 0 142.388 * * [simplify]: Extracting #3: cost 169 inf + 84 142.389 * * [simplify]: Extracting #4: cost 157 inf + 1464 142.391 * * [simplify]: Extracting #5: cost 98 inf + 20193 142.398 * * [simplify]: Extracting #6: cost 21 inf + 66314 142.407 * * [simplify]: Extracting #7: cost 0 inf + 82147 142.420 * * [simplify]: Extracting #8: cost 0 inf + 81591 142.440 * * [simplify]: Extracting #9: cost 0 inf + 81327 142.462 * [simplify]: Simplified to (* (pow (* PI 2) (/ (- 1 k) 4)) (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt k))) 142.462 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt 1) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (pow (* PI 2) (/ (- 1 k) 4)) (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt k))))) 142.462 * * * * [progress]: [ 216 / 463 ] simplifiying candidate # 142.463 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 142.463 * * [simplify]: iters left: 6 (13 enodes) 142.470 * * [simplify]: iters left: 5 (54 enodes) 142.489 * * [simplify]: iters left: 4 (97 enodes) 142.518 * * [simplify]: iters left: 3 (190 enodes) 142.580 * * [simplify]: Extracting #0: cost 1 inf + 0 142.580 * * [simplify]: Extracting #1: cost 38 inf + 0 142.581 * * [simplify]: Extracting #2: cost 129 inf + 0 142.582 * * [simplify]: Extracting #3: cost 163 inf + 2 142.583 * * [simplify]: Extracting #4: cost 151 inf + 1255 142.587 * * [simplify]: Extracting #5: cost 105 inf + 14568 142.598 * * [simplify]: Extracting #6: cost 37 inf + 55588 142.609 * * [simplify]: Extracting #7: cost 0 inf + 83538 142.619 * * [simplify]: Extracting #8: cost 0 inf + 82873 142.631 * [simplify]: Simplified to (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 142.631 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 142.631 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 142.632 * * [simplify]: iters left: 6 (14 enodes) 142.639 * * [simplify]: iters left: 5 (57 enodes) 142.659 * * [simplify]: iters left: 4 (100 enodes) 142.688 * * [simplify]: iters left: 3 (189 enodes) 142.738 * * [simplify]: Extracting #0: cost 1 inf + 0 142.739 * * [simplify]: Extracting #1: cost 38 inf + 0 142.739 * * [simplify]: Extracting #2: cost 129 inf + 0 142.740 * * [simplify]: Extracting #3: cost 165 inf + 2 142.741 * * [simplify]: Extracting #4: cost 153 inf + 798 142.746 * * [simplify]: Extracting #5: cost 98 inf + 16444 142.760 * * [simplify]: Extracting #6: cost 31 inf + 61020 142.775 * * [simplify]: Extracting #7: cost 1 inf + 82352 142.788 * * [simplify]: Extracting #8: cost 0 inf + 82612 142.798 * [simplify]: Simplified to (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 142.798 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 142.799 * * * * [progress]: [ 217 / 463 ] simplifiying candidate # 142.799 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 142.799 * * [simplify]: iters left: 6 (17 enodes) 142.809 * * [simplify]: iters left: 5 (69 enodes) 142.832 * * [simplify]: iters left: 4 (110 enodes) 142.855 * * [simplify]: iters left: 3 (197 enodes) 142.918 * * [simplify]: iters left: 2 (451 enodes) 143.093 * * [simplify]: Extracting #0: cost 1 inf + 0 143.094 * * [simplify]: Extracting #1: cost 83 inf + 0 143.095 * * [simplify]: Extracting #2: cost 277 inf + 0 143.097 * * [simplify]: Extracting #3: cost 373 inf + 2 143.101 * * [simplify]: Extracting #4: cost 359 inf + 6836 143.114 * * [simplify]: Extracting #5: cost 213 inf + 97280 143.142 * * [simplify]: Extracting #6: cost 49 inf + 243783 143.196 * * [simplify]: Extracting #7: cost 0 inf + 289487 143.248 * * [simplify]: Extracting #8: cost 0 inf + 287692 143.305 * * [simplify]: Extracting #9: cost 0 inf + 287481 143.369 * [simplify]: Simplified to (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 143.369 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 143.370 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 143.370 * * [simplify]: iters left: 6 (16 enodes) 143.378 * * [simplify]: iters left: 5 (64 enodes) 143.399 * * [simplify]: iters left: 4 (103 enodes) 143.433 * * [simplify]: iters left: 3 (171 enodes) 143.494 * * [simplify]: iters left: 2 (340 enodes) 143.595 * * [simplify]: Extracting #0: cost 1 inf + 0 143.596 * * [simplify]: Extracting #1: cost 60 inf + 0 143.596 * * [simplify]: Extracting #2: cost 174 inf + 0 143.597 * * [simplify]: Extracting #3: cost 246 inf + 2 143.598 * * [simplify]: Extracting #4: cost 260 inf + 1043 143.600 * * [simplify]: Extracting #5: cost 199 inf + 19444 143.615 * * [simplify]: Extracting #6: cost 33 inf + 150150 143.636 * * [simplify]: Extracting #7: cost 0 inf + 179175 143.657 * * [simplify]: Extracting #8: cost 0 inf + 177996 143.680 * [simplify]: Simplified to (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))))) 143.680 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))))))) 143.680 * * * * [progress]: [ 218 / 463 ] simplifiying candidate # 143.680 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 143.680 * * [simplify]: iters left: 6 (16 enodes) 143.685 * * [simplify]: iters left: 5 (64 enodes) 143.695 * * [simplify]: iters left: 4 (104 enodes) 143.712 * * [simplify]: iters left: 3 (172 enodes) 143.765 * * [simplify]: iters left: 2 (342 enodes) 143.874 * * [simplify]: Extracting #0: cost 1 inf + 0 143.874 * * [simplify]: Extracting #1: cost 60 inf + 0 143.875 * * [simplify]: Extracting #2: cost 174 inf + 0 143.876 * * [simplify]: Extracting #3: cost 250 inf + 2 143.879 * * [simplify]: Extracting #4: cost 253 inf + 2901 143.889 * * [simplify]: Extracting #5: cost 157 inf + 47901 143.924 * * [simplify]: Extracting #6: cost 16 inf + 164863 143.967 * * [simplify]: Extracting #7: cost 0 inf + 174195 143.997 * * [simplify]: Extracting #8: cost 0 inf + 173944 144.021 * [simplify]: Simplified to (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) 144.021 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 144.021 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 144.022 * * [simplify]: iters left: 6 (16 enodes) 144.030 * * [simplify]: iters left: 5 (64 enodes) 144.051 * * [simplify]: iters left: 4 (104 enodes) 144.084 * * [simplify]: iters left: 3 (172 enodes) 144.121 * * [simplify]: iters left: 2 (342 enodes) 144.207 * * [simplify]: Extracting #0: cost 1 inf + 0 144.207 * * [simplify]: Extracting #1: cost 60 inf + 0 144.208 * * [simplify]: Extracting #2: cost 174 inf + 0 144.208 * * [simplify]: Extracting #3: cost 250 inf + 2 144.210 * * [simplify]: Extracting #4: cost 253 inf + 2901 144.215 * * [simplify]: Extracting #5: cost 157 inf + 47901 144.232 * * [simplify]: Extracting #6: cost 16 inf + 164863 144.276 * * [simplify]: Extracting #7: cost 0 inf + 174195 144.318 * * [simplify]: Extracting #8: cost 0 inf + 173944 144.363 * [simplify]: Simplified to (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) 144.363 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt (sqrt k)))))) 144.363 * * * * [progress]: [ 219 / 463 ] simplifiying candidate # 144.364 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) 1)) 144.364 * * [simplify]: iters left: 6 (12 enodes) 144.371 * * [simplify]: iters left: 5 (47 enodes) 144.382 * * [simplify]: iters left: 4 (72 enodes) 144.395 * * [simplify]: iters left: 3 (119 enodes) 144.419 * * [simplify]: iters left: 2 (246 enodes) 144.500 * * [simplify]: Extracting #0: cost 1 inf + 0 144.500 * * [simplify]: Extracting #1: cost 28 inf + 0 144.500 * * [simplify]: Extracting #2: cost 82 inf + 1 144.501 * * [simplify]: Extracting #3: cost 138 inf + 3 144.502 * * [simplify]: Extracting #4: cost 132 inf + 1425 144.509 * * [simplify]: Extracting #5: cost 49 inf + 28575 144.521 * * [simplify]: Extracting #6: cost 3 inf + 54685 144.532 * * [simplify]: Extracting #7: cost 0 inf + 56549 144.539 * [simplify]: Simplified to (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 144.539 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 144.540 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 144.540 * * [simplify]: iters left: 6 (15 enodes) 144.548 * * [simplify]: iters left: 5 (61 enodes) 144.559 * * [simplify]: iters left: 4 (104 enodes) 144.577 * * [simplify]: iters left: 3 (197 enodes) 144.646 * * [simplify]: Extracting #0: cost 1 inf + 0 144.647 * * [simplify]: Extracting #1: cost 38 inf + 0 144.647 * * [simplify]: Extracting #2: cost 129 inf + 0 144.648 * * [simplify]: Extracting #3: cost 167 inf + 1 144.650 * * [simplify]: Extracting #4: cost 154 inf + 1131 144.653 * * [simplify]: Extracting #5: cost 108 inf + 14660 144.667 * * [simplify]: Extracting #6: cost 30 inf + 65107 144.687 * * [simplify]: Extracting #7: cost 0 inf + 88193 144.704 * [simplify]: Simplified to (/ (* (pow (* 2 PI) (- 1/2 (/ k 2))) (pow (sqrt n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 144.705 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (* (pow (* 2 PI) (- 1/2 (/ k 2))) (pow (sqrt n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 144.705 * * * * [progress]: [ 220 / 463 ] simplifiying candidate # 144.705 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 144.705 * * [simplify]: iters left: 6 (16 enodes) 144.710 * * [simplify]: iters left: 5 (67 enodes) 144.722 * * [simplify]: iters left: 4 (114 enodes) 144.743 * * [simplify]: iters left: 3 (221 enodes) 144.838 * * [simplify]: Extracting #0: cost 1 inf + 0 144.839 * * [simplify]: Extracting #1: cost 38 inf + 0 144.839 * * [simplify]: Extracting #2: cost 127 inf + 0 144.840 * * [simplify]: Extracting #3: cost 175 inf + 1 144.842 * * [simplify]: Extracting #4: cost 160 inf + 1172 144.846 * * [simplify]: Extracting #5: cost 110 inf + 13615 144.859 * * [simplify]: Extracting #6: cost 27 inf + 63647 144.877 * * [simplify]: Extracting #7: cost 0 inf + 84388 144.900 * * [simplify]: Extracting #8: cost 0 inf + 83832 144.917 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 4)) (/ (sqrt (sqrt k)) (pow (sqrt n) (/ (- 1 k) 2)))) 144.917 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* 2 PI) (/ (- 1 k) 4)) (/ (sqrt (sqrt k)) (pow (sqrt n) (/ (- 1 k) 2)))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 144.917 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 144.917 * * [simplify]: iters left: 6 (16 enodes) 144.922 * * [simplify]: iters left: 5 (67 enodes) 144.934 * * [simplify]: iters left: 4 (114 enodes) 144.955 * * [simplify]: iters left: 3 (221 enodes) 145.038 * * [simplify]: Extracting #0: cost 1 inf + 0 145.038 * * [simplify]: Extracting #1: cost 38 inf + 0 145.039 * * [simplify]: Extracting #2: cost 127 inf + 0 145.039 * * [simplify]: Extracting #3: cost 175 inf + 1 145.040 * * [simplify]: Extracting #4: cost 160 inf + 1172 145.042 * * [simplify]: Extracting #5: cost 110 inf + 13615 145.049 * * [simplify]: Extracting #6: cost 27 inf + 63647 145.058 * * [simplify]: Extracting #7: cost 0 inf + 84388 145.075 * * [simplify]: Extracting #8: cost 0 inf + 83832 145.094 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 4)) (/ (sqrt (sqrt k)) (pow (sqrt n) (/ (- 1 k) 2)))) 145.094 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* 2 PI) (/ (- 1 k) 4)) (/ (sqrt (sqrt k)) (pow (sqrt n) (/ (- 1 k) 2)))))) 145.095 * * * * [progress]: [ 221 / 463 ] simplifiying candidate # 145.095 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ 1 (pow 2 (/ (- 1 k) 2)))) 145.095 * * [simplify]: iters left: 6 (11 enodes) 145.101 * * [simplify]: iters left: 5 (48 enodes) 145.112 * * [simplify]: iters left: 4 (83 enodes) 145.128 * * [simplify]: iters left: 3 (176 enodes) 145.206 * * [simplify]: Extracting #0: cost 1 inf + 0 145.206 * * [simplify]: Extracting #1: cost 41 inf + 0 145.206 * * [simplify]: Extracting #2: cost 123 inf + 1 145.207 * * [simplify]: Extracting #3: cost 156 inf + 3 145.207 * * [simplify]: Extracting #4: cost 157 inf + 91 145.208 * * [simplify]: Extracting #5: cost 149 inf + 1508 145.210 * * [simplify]: Extracting #6: cost 92 inf + 20668 145.219 * * [simplify]: Extracting #7: cost 14 inf + 68583 145.229 * * [simplify]: Extracting #8: cost 0 inf + 75955 145.238 * * [simplify]: Extracting #9: cost 0 inf + 75398 145.247 * [simplify]: Simplified to (* (pow (sqrt n) (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) 145.247 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (sqrt n) (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 145.247 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 145.247 * * [simplify]: iters left: 6 (13 enodes) 145.251 * * [simplify]: iters left: 5 (54 enodes) 145.261 * * [simplify]: iters left: 4 (97 enodes) 145.279 * * [simplify]: iters left: 3 (190 enodes) 145.361 * * [simplify]: Extracting #0: cost 1 inf + 0 145.361 * * [simplify]: Extracting #1: cost 38 inf + 0 145.362 * * [simplify]: Extracting #2: cost 129 inf + 0 145.362 * * [simplify]: Extracting #3: cost 160 inf + 44 145.364 * * [simplify]: Extracting #4: cost 149 inf + 1216 145.367 * * [simplify]: Extracting #5: cost 105 inf + 14441 145.380 * * [simplify]: Extracting #6: cost 27 inf + 61547 145.398 * * [simplify]: Extracting #7: cost 0 inf + 80840 145.417 * * [simplify]: Extracting #8: cost 0 inf + 80186 145.436 * [simplify]: Simplified to (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 145.436 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (sqrt n) (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 145.437 * * * * [progress]: [ 222 / 463 ] simplifiying candidate # 145.437 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ 1 (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 145.437 * * [simplify]: iters left: 6 (15 enodes) 145.445 * * [simplify]: iters left: 5 (63 enodes) 145.461 * * [simplify]: iters left: 4 (104 enodes) 145.479 * * [simplify]: iters left: 3 (192 enodes) 145.537 * * [simplify]: iters left: 2 (448 enodes) 145.828 * * [simplify]: Extracting #0: cost 1 inf + 0 145.828 * * [simplify]: Extracting #1: cost 108 inf + 0 145.829 * * [simplify]: Extracting #2: cost 324 inf + 1 145.831 * * [simplify]: Extracting #3: cost 411 inf + 3 145.840 * * [simplify]: Extracting #4: cost 436 inf + 93 145.848 * * [simplify]: Extracting #5: cost 368 inf + 24740 145.862 * * [simplify]: Extracting #6: cost 239 inf + 106383 145.912 * * [simplify]: Extracting #7: cost 81 inf + 239123 146.010 * * [simplify]: Extracting #8: cost 0 inf + 307141 146.073 * * [simplify]: Extracting #9: cost 0 inf + 304676 146.137 * * [simplify]: Extracting #10: cost 0 inf + 304424 146.201 * [simplify]: Simplified to (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (pow (sqrt n) (/ (- 1 k) 2)))) 146.201 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (pow (sqrt n) (/ (- 1 k) 2)))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 146.201 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 146.201 * * [simplify]: iters left: 6 (15 enodes) 146.206 * * [simplify]: iters left: 5 (61 enodes) 146.217 * * [simplify]: iters left: 4 (100 enodes) 146.239 * * [simplify]: iters left: 3 (172 enodes) 146.272 * * [simplify]: iters left: 2 (347 enodes) 146.404 * * [simplify]: Extracting #0: cost 1 inf + 0 146.404 * * [simplify]: Extracting #1: cost 60 inf + 0 146.405 * * [simplify]: Extracting #2: cost 175 inf + 0 146.406 * * [simplify]: Extracting #3: cost 242 inf + 44 146.409 * * [simplify]: Extracting #4: cost 241 inf + 5207 146.418 * * [simplify]: Extracting #5: cost 170 inf + 32938 146.435 * * [simplify]: Extracting #6: cost 84 inf + 87246 146.457 * * [simplify]: Extracting #7: cost 5 inf + 163776 146.478 * * [simplify]: Extracting #8: cost 0 inf + 167995 146.507 * * [simplify]: Extracting #9: cost 0 inf + 167743 146.528 * [simplify]: Simplified to (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt k))) 146.528 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ 1 (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt k))))) 146.528 * * * * [progress]: [ 223 / 463 ] simplifiying candidate # 146.529 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ 1 (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 146.529 * * [simplify]: iters left: 6 (14 enodes) 146.536 * * [simplify]: iters left: 5 (58 enodes) 146.556 * * [simplify]: iters left: 4 (94 enodes) 146.580 * * [simplify]: iters left: 3 (163 enodes) 146.621 * * [simplify]: iters left: 2 (338 enodes) 146.787 * * [simplify]: Extracting #0: cost 1 inf + 0 146.788 * * [simplify]: Extracting #1: cost 66 inf + 0 146.789 * * [simplify]: Extracting #2: cost 176 inf + 1 146.790 * * [simplify]: Extracting #3: cost 256 inf + 3 146.792 * * [simplify]: Extracting #4: cost 284 inf + 93 146.794 * * [simplify]: Extracting #5: cost 266 inf + 3582 146.803 * * [simplify]: Extracting #6: cost 136 inf + 58724 146.826 * * [simplify]: Extracting #7: cost 8 inf + 154455 146.852 * * [simplify]: Extracting #8: cost 0 inf + 156943 146.891 * [simplify]: Simplified to (* (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (pow (sqrt n) (/ (- 1 k) 2))) 146.891 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (pow (sqrt n) (/ (- 1 k) 2))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 146.892 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 146.892 * * [simplify]: iters left: 6 (15 enodes) 146.900 * * [simplify]: iters left: 5 (61 enodes) 146.919 * * [simplify]: iters left: 4 (101 enodes) 146.950 * * [simplify]: iters left: 3 (173 enodes) 147.014 * * [simplify]: iters left: 2 (344 enodes) 147.113 * * [simplify]: Extracting #0: cost 1 inf + 0 147.113 * * [simplify]: Extracting #1: cost 60 inf + 0 147.114 * * [simplify]: Extracting #2: cost 171 inf + 0 147.116 * * [simplify]: Extracting #3: cost 243 inf + 44 147.118 * * [simplify]: Extracting #4: cost 238 inf + 5870 147.131 * * [simplify]: Extracting #5: cost 118 inf + 66659 147.159 * * [simplify]: Extracting #6: cost 16 inf + 145015 147.180 * * [simplify]: Extracting #7: cost 0 inf + 159570 147.200 * [simplify]: Simplified to (/ (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (sqrt k) (pow (sqrt n) (/ (- 1 k) 2)))) 147.200 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ 1 (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (sqrt k) (pow (sqrt n) (/ (- 1 k) 2)))))) 147.200 * * * * [progress]: [ 224 / 463 ] simplifiying candidate # 147.200 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ 1 1)) 147.200 * * [simplify]: iters left: 6 (10 enodes) 147.203 * * [simplify]: iters left: 5 (39 enodes) 147.212 * * [simplify]: iters left: 4 (60 enodes) 147.223 * * [simplify]: iters left: 3 (98 enodes) 147.257 * * [simplify]: iters left: 2 (192 enodes) 147.331 * * [simplify]: iters left: 1 (390 enodes) 147.554 * * [simplify]: Extracting #0: cost 1 inf + 0 147.554 * * [simplify]: Extracting #1: cost 50 inf + 0 147.554 * * [simplify]: Extracting #2: cost 147 inf + 2 147.555 * * [simplify]: Extracting #3: cost 193 inf + 90 147.556 * * [simplify]: Extracting #4: cost 177 inf + 1422 147.559 * * [simplify]: Extracting #5: cost 107 inf + 14262 147.568 * * [simplify]: Extracting #6: cost 35 inf + 60808 147.595 * * [simplify]: Extracting #7: cost 0 inf + 87587 147.624 * * [simplify]: Extracting #8: cost 0 inf + 87405 147.641 * [simplify]: Simplified to (pow (sqrt n) (- 1/2 (/ k 2))) 147.641 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (sqrt n) (- 1/2 (/ k 2))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 147.642 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 147.642 * * [simplify]: iters left: 6 (14 enodes) 147.646 * * [simplify]: iters left: 5 (58 enodes) 147.656 * * [simplify]: iters left: 4 (101 enodes) 147.677 * * [simplify]: iters left: 3 (190 enodes) 147.732 * * [simplify]: iters left: 2 (495 enodes) 147.959 * * [simplify]: Extracting #0: cost 1 inf + 0 147.959 * * [simplify]: Extracting #1: cost 119 inf + 0 147.962 * * [simplify]: Extracting #2: cost 501 inf + 0 147.966 * * [simplify]: Extracting #3: cost 600 inf + 85 147.971 * * [simplify]: Extracting #4: cost 585 inf + 3452 147.980 * * [simplify]: Extracting #5: cost 526 inf + 19820 148.033 * * [simplify]: Extracting #6: cost 188 inf + 276311 148.099 * * [simplify]: Extracting #7: cost 13 inf + 430206 148.193 * * [simplify]: Extracting #8: cost 0 inf + 436391 148.257 * [simplify]: Simplified to (* (pow (* PI 2) (/ (- 1 k) 2)) (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt k))) 148.257 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ 1 1)) (* (pow (* PI 2) (/ (- 1 k) 2)) (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt k))))) 148.257 * * * * [progress]: [ 225 / 463 ] simplifiying candidate # 148.257 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ 1 (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 148.258 * * [simplify]: iters left: 6 (14 enodes) 148.262 * * [simplify]: iters left: 5 (61 enodes) 148.273 * * [simplify]: iters left: 4 (104 enodes) 148.296 * * [simplify]: iters left: 3 (210 enodes) 148.353 * * [simplify]: Extracting #0: cost 1 inf + 0 148.353 * * [simplify]: Extracting #1: cost 43 inf + 0 148.353 * * [simplify]: Extracting #2: cost 128 inf + 1 148.354 * * [simplify]: Extracting #3: cost 169 inf + 2 148.354 * * [simplify]: Extracting #4: cost 166 inf + 136 148.355 * * [simplify]: Extracting #5: cost 155 inf + 1014 148.357 * * [simplify]: Extracting #6: cost 98 inf + 17622 148.367 * * [simplify]: Extracting #7: cost 7 inf + 76074 148.376 * * [simplify]: Extracting #8: cost 0 inf + 80686 148.386 * * [simplify]: Extracting #9: cost 0 inf + 80685 148.395 * [simplify]: Simplified to (* (pow (* PI 2) (/ (- 1 k) 4)) (pow (sqrt n) (/ (- 1 k) 2))) 148.395 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (* PI 2) (/ (- 1 k) 4)) (pow (sqrt n) (/ (- 1 k) 2))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 148.396 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 148.396 * * [simplify]: iters left: 6 (15 enodes) 148.400 * * [simplify]: iters left: 5 (64 enodes) 148.413 * * [simplify]: iters left: 4 (111 enodes) 148.435 * * [simplify]: iters left: 3 (218 enodes) 148.487 * * [simplify]: Extracting #0: cost 1 inf + 0 148.488 * * [simplify]: Extracting #1: cost 38 inf + 0 148.488 * * [simplify]: Extracting #2: cost 127 inf + 0 148.488 * * [simplify]: Extracting #3: cost 169 inf + 84 148.489 * * [simplify]: Extracting #4: cost 157 inf + 1464 148.491 * * [simplify]: Extracting #5: cost 98 inf + 20193 148.498 * * [simplify]: Extracting #6: cost 21 inf + 66314 148.508 * * [simplify]: Extracting #7: cost 0 inf + 82147 148.518 * * [simplify]: Extracting #8: cost 0 inf + 81591 148.540 * * [simplify]: Extracting #9: cost 0 inf + 81327 148.560 * [simplify]: Simplified to (* (pow (* PI 2) (/ (- 1 k) 4)) (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt k))) 148.560 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ 1 (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (pow (* PI 2) (/ (- 1 k) 4)) (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt k))))) 148.560 * * * * [progress]: [ 226 / 463 ] simplifiying candidate # 148.560 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) 1) 148.560 * * [simplify]: iters left: 6 (9 enodes) 148.566 * * [simplify]: iters left: 5 (36 enodes) 148.579 * * [simplify]: iters left: 4 (59 enodes) 148.595 * * [simplify]: iters left: 3 (101 enodes) 148.617 * * [simplify]: iters left: 2 (209 enodes) 148.666 * * [simplify]: iters left: 1 (448 enodes) 148.893 * * [simplify]: Extracting #0: cost 1 inf + 0 148.893 * * [simplify]: Extracting #1: cost 49 inf + 0 148.894 * * [simplify]: Extracting #2: cost 167 inf + 2 148.895 * * [simplify]: Extracting #3: cost 223 inf + 91 148.900 * * [simplify]: Extracting #4: cost 196 inf + 2086 148.905 * * [simplify]: Extracting #5: cost 110 inf + 21944 148.928 * * [simplify]: Extracting #6: cost 17 inf + 89257 148.963 * * [simplify]: Extracting #7: cost 0 inf + 100875 148.984 * * [simplify]: Extracting #8: cost 0 inf + 100274 149.003 * [simplify]: Simplified to (pow (sqrt n) (- 1/2 (/ k 2))) 149.003 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (sqrt n) (- 1/2 (/ k 2))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 149.003 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 149.004 * * [simplify]: iters left: 6 (14 enodes) 149.008 * * [simplify]: iters left: 5 (58 enodes) 149.021 * * [simplify]: iters left: 4 (101 enodes) 149.054 * * [simplify]: iters left: 3 (190 enodes) 149.140 * * [simplify]: iters left: 2 (495 enodes) 149.412 * * [simplify]: Extracting #0: cost 1 inf + 0 149.413 * * [simplify]: Extracting #1: cost 119 inf + 0 149.415 * * [simplify]: Extracting #2: cost 501 inf + 0 149.420 * * [simplify]: Extracting #3: cost 600 inf + 85 149.425 * * [simplify]: Extracting #4: cost 585 inf + 3452 149.434 * * [simplify]: Extracting #5: cost 526 inf + 19820 149.478 * * [simplify]: Extracting #6: cost 188 inf + 276311 149.569 * * [simplify]: Extracting #7: cost 13 inf + 430206 149.660 * * [simplify]: Extracting #8: cost 0 inf + 436391 149.744 * [simplify]: Simplified to (* (pow (* PI 2) (/ (- 1 k) 2)) (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt k))) 149.744 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) 1) (* (pow (* PI 2) (/ (- 1 k) 2)) (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt k))))) 149.744 * * * * [progress]: [ 227 / 463 ] simplifiying candidate # 149.745 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt k)) 149.745 * * [simplify]: iters left: 6 (10 enodes) 149.748 * * [simplify]: iters left: 5 (41 enodes) 149.755 * * [simplify]: iters left: 4 (64 enodes) 149.776 * * [simplify]: iters left: 3 (106 enodes) 149.797 * * [simplify]: iters left: 2 (210 enodes) 149.848 * * [simplify]: iters left: 1 (434 enodes) 150.045 * * [simplify]: Extracting #0: cost 1 inf + 0 150.045 * * [simplify]: Extracting #1: cost 47 inf + 0 150.046 * * [simplify]: Extracting #2: cost 141 inf + 0 150.046 * * [simplify]: Extracting #3: cost 208 inf + 4 150.048 * * [simplify]: Extracting #4: cost 205 inf + 1173 150.051 * * [simplify]: Extracting #5: cost 143 inf + 17221 150.063 * * [simplify]: Extracting #6: cost 20 inf + 100882 150.079 * * [simplify]: Extracting #7: cost 0 inf + 118069 150.106 * * [simplify]: Extracting #8: cost 0 inf + 116625 150.136 * * [simplify]: Extracting #9: cost 0 inf + 116160 150.167 * [simplify]: Simplified to (/ (pow (sqrt n) (* 1/2 (- 1 k))) (sqrt k)) 150.167 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (sqrt n) (* 1/2 (- 1 k))) (sqrt k)) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ 1 (pow (* 2 PI) (/ (- 1 k) 2)))))) 150.167 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ 1 (pow (* 2 PI) (/ (- 1 k) 2)))) 150.167 * * [simplify]: iters left: 6 (13 enodes) 150.173 * * [simplify]: iters left: 5 (55 enodes) 150.190 * * [simplify]: iters left: 4 (94 enodes) 150.217 * * [simplify]: iters left: 3 (182 enodes) 150.264 * * [simplify]: iters left: 2 (496 enodes) 150.643 * * [simplify]: Extracting #0: cost 1 inf + 0 150.644 * * [simplify]: Extracting #1: cost 148 inf + 0 150.648 * * [simplify]: Extracting #2: cost 543 inf + 1 150.651 * * [simplify]: Extracting #3: cost 605 inf + 3 150.654 * * [simplify]: Extracting #4: cost 605 inf + 178 150.658 * * [simplify]: Extracting #5: cost 569 inf + 7580 150.680 * * [simplify]: Extracting #6: cost 390 inf + 111762 150.733 * * [simplify]: Extracting #7: cost 43 inf + 385412 150.792 * * [simplify]: Extracting #8: cost 0 inf + 416132 150.893 * * [simplify]: Extracting #9: cost 0 inf + 415179 150.999 * [simplify]: Simplified to (* (pow (sqrt n) (/ (- 1 k) 2)) (pow (* PI 2) (/ (- 1 k) 2))) 150.999 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt k)) (* (pow (sqrt n) (/ (- 1 k) 2)) (pow (* PI 2) (/ (- 1 k) 2))))) 150.999 * * * * [progress]: [ 228 / 463 ] simplifiying candidate # 151.000 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ 1 2)))) 151.000 * * [simplify]: iters left: 6 (15 enodes) 151.009 * * [simplify]: iters left: 5 (61 enodes) 151.025 * * [simplify]: iters left: 4 (110 enodes) 151.048 * * [simplify]: iters left: 3 (222 enodes) 151.133 * * [simplify]: Extracting #0: cost 1 inf + 0 151.133 * * [simplify]: Extracting #1: cost 38 inf + 0 151.134 * * [simplify]: Extracting #2: cost 133 inf + 0 151.135 * * [simplify]: Extracting #3: cost 165 inf + 47 151.136 * * [simplify]: Extracting #4: cost 152 inf + 1218 151.141 * * [simplify]: Extracting #5: cost 93 inf + 18287 151.155 * * [simplify]: Extracting #6: cost 12 inf + 66279 151.172 * * [simplify]: Extracting #7: cost 0 inf + 74281 151.188 * [simplify]: Simplified to (* (sqrt (* PI 2)) (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt k))) 151.189 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (* PI 2)) (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt k))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (pow (* 2 PI) (/ k 2))))) 151.189 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (pow (* 2 PI) (/ k 2))) 151.189 * * [simplify]: iters left: 6 (13 enodes) 151.200 * * [simplify]: iters left: 5 (53 enodes) 151.218 * * [simplify]: iters left: 4 (88 enodes) 151.250 * * [simplify]: iters left: 3 (178 enodes) 151.294 * * [simplify]: Extracting #0: cost 1 inf + 0 151.295 * * [simplify]: Extracting #1: cost 39 inf + 0 151.295 * * [simplify]: Extracting #2: cost 117 inf + 0 151.295 * * [simplify]: Extracting #3: cost 164 inf + 1 151.296 * * [simplify]: Extracting #4: cost 147 inf + 1511 151.298 * * [simplify]: Extracting #5: cost 92 inf + 14606 151.310 * * [simplify]: Extracting #6: cost 21 inf + 61632 151.320 * * [simplify]: Extracting #7: cost 0 inf + 79262 151.328 * [simplify]: Simplified to (/ (pow (sqrt n) (/ (- 1 k) 2)) (pow (* PI 2) (/ k 2))) 151.328 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (* PI 2)) (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt k))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (pow (* PI 2) (/ k 2))))) 151.328 * * * * [progress]: [ 229 / 463 ] simplifiying candidate # 151.329 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (* (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 151.329 * * [simplify]: iters left: 6 (14 enodes) 151.333 * * [simplify]: iters left: 5 (54 enodes) 151.342 * * [simplify]: iters left: 4 (85 enodes) 151.366 * * [simplify]: iters left: 3 (122 enodes) 151.392 * * [simplify]: iters left: 2 (196 enodes) 151.443 * * [simplify]: iters left: 1 (358 enodes) 151.575 * * [simplify]: Extracting #0: cost 1 inf + 0 151.575 * * [simplify]: Extracting #1: cost 7 inf + 0 151.575 * * [simplify]: Extracting #2: cost 11 inf + 1 151.575 * * [simplify]: Extracting #3: cost 16 inf + 1 151.575 * * [simplify]: Extracting #4: cost 50 inf + 1 151.575 * * [simplify]: Extracting #5: cost 135 inf + 3 151.576 * * [simplify]: Extracting #6: cost 164 inf + 752 151.578 * * [simplify]: Extracting #7: cost 126 inf + 5805 151.583 * * [simplify]: Extracting #8: cost 38 inf + 45794 151.606 * * [simplify]: Extracting #9: cost 1 inf + 73776 151.627 * * [simplify]: Extracting #10: cost 0 inf + 74402 151.646 * [simplify]: Simplified to (/ 1 (* (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 151.647 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) (/ (pow n (/ (- 1 k) 2)) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))))) 151.647 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 151.647 * * [simplify]: iters left: 6 (14 enodes) 151.654 * * [simplify]: iters left: 5 (56 enodes) 151.671 * * [simplify]: iters left: 4 (90 enodes) 151.699 * * [simplify]: iters left: 3 (142 enodes) 151.749 * * [simplify]: iters left: 2 (258 enodes) 151.839 * * [simplify]: Extracting #0: cost 1 inf + 0 151.839 * * [simplify]: Extracting #1: cost 30 inf + 0 151.839 * * [simplify]: Extracting #2: cost 74 inf + 0 151.839 * * [simplify]: Extracting #3: cost 123 inf + 3 151.840 * * [simplify]: Extracting #4: cost 147 inf + 11 151.840 * * [simplify]: Extracting #5: cost 169 inf + 555 151.842 * * [simplify]: Extracting #6: cost 126 inf + 8188 151.847 * * [simplify]: Extracting #7: cost 48 inf + 46807 151.861 * * [simplify]: Extracting #8: cost 1 inf + 86529 151.878 * * [simplify]: Extracting #9: cost 0 inf + 86730 151.889 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 151.889 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) (/ (pow n (/ (- 1 k) 2)) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))))) 151.889 * * * * [progress]: [ 230 / 463 ] simplifiying candidate # 151.889 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 151.889 * * [simplify]: iters left: 6 (13 enodes) 151.893 * * [simplify]: iters left: 5 (49 enodes) 151.902 * * [simplify]: iters left: 4 (76 enodes) 151.919 * * [simplify]: iters left: 3 (111 enodes) 151.951 * * [simplify]: iters left: 2 (185 enodes) 152.002 * * [simplify]: iters left: 1 (358 enodes) 152.139 * * [simplify]: Extracting #0: cost 1 inf + 0 152.139 * * [simplify]: Extracting #1: cost 4 inf + 0 152.139 * * [simplify]: Extracting #2: cost 5 inf + 1 152.139 * * [simplify]: Extracting #3: cost 10 inf + 1 152.139 * * [simplify]: Extracting #4: cost 43 inf + 1 152.140 * * [simplify]: Extracting #5: cost 128 inf + 3 152.140 * * [simplify]: Extracting #6: cost 153 inf + 754 152.142 * * [simplify]: Extracting #7: cost 116 inf + 5269 152.145 * * [simplify]: Extracting #8: cost 66 inf + 22502 152.156 * * [simplify]: Extracting #9: cost 10 inf + 61634 152.169 * * [simplify]: Extracting #10: cost 0 inf + 69500 152.179 * * [simplify]: Extracting #11: cost 0 inf + 69289 152.188 * [simplify]: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 152.188 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (pow n (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))))) 152.188 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 152.188 * * [simplify]: iters left: 6 (14 enodes) 152.192 * * [simplify]: iters left: 5 (56 enodes) 152.206 * * [simplify]: iters left: 4 (90 enodes) 152.234 * * [simplify]: iters left: 3 (142 enodes) 152.287 * * [simplify]: iters left: 2 (258 enodes) 152.375 * * [simplify]: Extracting #0: cost 1 inf + 0 152.375 * * [simplify]: Extracting #1: cost 30 inf + 0 152.375 * * [simplify]: Extracting #2: cost 74 inf + 0 152.376 * * [simplify]: Extracting #3: cost 123 inf + 3 152.376 * * [simplify]: Extracting #4: cost 147 inf + 11 152.377 * * [simplify]: Extracting #5: cost 169 inf + 555 152.378 * * [simplify]: Extracting #6: cost 126 inf + 8068 152.383 * * [simplify]: Extracting #7: cost 48 inf + 46127 152.395 * * [simplify]: Extracting #8: cost 1 inf + 85049 152.405 * * [simplify]: Extracting #9: cost 0 inf + 85250 152.415 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 152.415 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (pow n (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))))) 152.415 * * * * [progress]: [ 231 / 463 ] simplifiying candidate # 152.416 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (/ (- 1 k) 2)))) 152.416 * * [simplify]: iters left: 6 (12 enodes) 152.421 * * [simplify]: iters left: 5 (49 enodes) 152.430 * * [simplify]: iters left: 4 (96 enodes) 152.448 * * [simplify]: iters left: 3 (193 enodes) 152.516 * * [simplify]: iters left: 2 (471 enodes) 152.816 * * [simplify]: Extracting #0: cost 1 inf + 0 152.816 * * [simplify]: Extracting #1: cost 97 inf + 0 152.818 * * [simplify]: Extracting #2: cost 273 inf + 1 152.821 * * [simplify]: Extracting #3: cost 332 inf + 4 152.824 * * [simplify]: Extracting #4: cost 307 inf + 5329 152.836 * * [simplify]: Extracting #5: cost 189 inf + 54808 152.855 * * [simplify]: Extracting #6: cost 42 inf + 158139 152.903 * * [simplify]: Extracting #7: cost 0 inf + 188067 152.962 * * [simplify]: Extracting #8: cost 0 inf + 187906 153.003 * [simplify]: Simplified to (/ (pow 2 (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 153.003 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow 2 (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow n (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 153.004 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 153.004 * * [simplify]: iters left: 6 (13 enodes) 153.008 * * [simplify]: iters left: 5 (54 enodes) 153.018 * * [simplify]: iters left: 4 (97 enodes) 153.035 * * [simplify]: iters left: 3 (190 enodes) 153.099 * * [simplify]: Extracting #0: cost 1 inf + 0 153.099 * * [simplify]: Extracting #1: cost 38 inf + 0 153.100 * * [simplify]: Extracting #2: cost 128 inf + 0 153.101 * * [simplify]: Extracting #3: cost 160 inf + 3 153.102 * * [simplify]: Extracting #4: cost 150 inf + 1134 153.105 * * [simplify]: Extracting #5: cost 103 inf + 16779 153.117 * * [simplify]: Extracting #6: cost 17 inf + 68912 153.135 * * [simplify]: Extracting #7: cost 0 inf + 79691 153.153 * * [simplify]: Extracting #8: cost 0 inf + 79273 153.169 * * [simplify]: Extracting #9: cost 0 inf + 79272 153.178 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 153.178 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow 2 (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow n (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 153.178 * * * * [progress]: [ 232 / 463 ] simplifiying candidate # 153.178 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 153.179 * * [simplify]: iters left: 6 (16 enodes) 153.183 * * [simplify]: iters left: 5 (66 enodes) 153.196 * * [simplify]: iters left: 4 (119 enodes) 153.236 * * [simplify]: iters left: 3 (198 enodes) 153.322 * * [simplify]: iters left: 2 (359 enodes) 153.418 * * [simplify]: Extracting #0: cost 1 inf + 0 153.418 * * [simplify]: Extracting #1: cost 17 inf + 0 153.418 * * [simplify]: Extracting #2: cost 31 inf + 1 153.419 * * [simplify]: Extracting #3: cost 46 inf + 1 153.419 * * [simplify]: Extracting #4: cost 87 inf + 3 153.420 * * [simplify]: Extracting #5: cost 100 inf + 1529 153.425 * * [simplify]: Extracting #6: cost 50 inf + 13636 153.435 * * [simplify]: Extracting #7: cost 3 inf + 35244 153.444 * * [simplify]: Extracting #8: cost 0 inf + 36882 153.450 * [simplify]: Simplified to (* (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (sqrt k)))) 153.450 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (sqrt k)))) (/ (pow n (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 153.450 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 153.450 * * [simplify]: iters left: 6 (15 enodes) 153.455 * * [simplify]: iters left: 5 (61 enodes) 153.465 * * [simplify]: iters left: 4 (100 enodes) 153.498 * * [simplify]: iters left: 3 (172 enodes) 153.545 * * [simplify]: iters left: 2 (347 enodes) 153.652 * * [simplify]: Extracting #0: cost 1 inf + 0 153.653 * * [simplify]: Extracting #1: cost 60 inf + 0 153.653 * * [simplify]: Extracting #2: cost 175 inf + 0 153.655 * * [simplify]: Extracting #3: cost 240 inf + 3 153.658 * * [simplify]: Extracting #4: cost 248 inf + 4260 153.665 * * [simplify]: Extracting #5: cost 175 inf + 29528 153.681 * * [simplify]: Extracting #6: cost 95 inf + 83696 153.718 * * [simplify]: Extracting #7: cost 18 inf + 150773 153.752 * * [simplify]: Extracting #8: cost 0 inf + 166765 153.776 * [simplify]: Simplified to (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ (- 1 k) 2)) (cbrt (sqrt k)))) 153.776 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (sqrt k)))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ (- 1 k) 2)) (cbrt (sqrt k)))))) 153.776 * * * * [progress]: [ 233 / 463 ] simplifiying candidate # 153.777 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 153.777 * * [simplify]: iters left: 6 (15 enodes) 153.781 * * [simplify]: iters left: 5 (59 enodes) 153.792 * * [simplify]: iters left: 4 (96 enodes) 153.816 * * [simplify]: iters left: 3 (149 enodes) 153.850 * * [simplify]: iters left: 2 (267 enodes) 153.950 * * [simplify]: iters left: 1 (439 enodes) 154.125 * * [simplify]: Extracting #0: cost 1 inf + 0 154.126 * * [simplify]: Extracting #1: cost 12 inf + 0 154.126 * * [simplify]: Extracting #2: cost 23 inf + 1 154.126 * * [simplify]: Extracting #3: cost 49 inf + 1 154.126 * * [simplify]: Extracting #4: cost 123 inf + 3 154.127 * * [simplify]: Extracting #5: cost 160 inf + 744 154.129 * * [simplify]: Extracting #6: cost 99 inf + 8806 154.135 * * [simplify]: Extracting #7: cost 15 inf + 51701 154.145 * * [simplify]: Extracting #8: cost 0 inf + 60781 154.163 * * [simplify]: Extracting #9: cost 0 inf + 60379 154.176 * * [simplify]: Extracting #10: cost 0 inf + 59725 154.185 * [simplify]: Simplified to (/ (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 154.186 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow n (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 154.186 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 154.186 * * [simplify]: iters left: 6 (15 enodes) 154.190 * * [simplify]: iters left: 5 (61 enodes) 154.207 * * [simplify]: iters left: 4 (101 enodes) 154.234 * * [simplify]: iters left: 3 (173 enodes) 154.275 * * [simplify]: iters left: 2 (344 enodes) 154.388 * * [simplify]: Extracting #0: cost 1 inf + 0 154.388 * * [simplify]: Extracting #1: cost 60 inf + 0 154.389 * * [simplify]: Extracting #2: cost 170 inf + 0 154.390 * * [simplify]: Extracting #3: cost 242 inf + 3 154.393 * * [simplify]: Extracting #4: cost 231 inf + 9027 154.408 * * [simplify]: Extracting #5: cost 112 inf + 71536 154.445 * * [simplify]: Extracting #6: cost 12 inf + 151552 154.483 * * [simplify]: Extracting #7: cost 0 inf + 160770 154.507 * * [simplify]: Extracting #8: cost 0 inf + 160639 154.545 * * [simplify]: Extracting #9: cost 0 inf + 160549 154.583 * [simplify]: Simplified to (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow n (/ (- 1 k) 2)))) 154.584 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow 1 (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow n (/ (- 1 k) 2)))))) 154.584 * * * * [progress]: [ 234 / 463 ] simplifiying candidate # 154.584 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 154.584 * * [simplify]: iters left: 6 (11 enodes) 154.591 * * [simplify]: iters left: 5 (41 enodes) 154.600 * * [simplify]: iters left: 4 (63 enodes) 154.609 * * [simplify]: iters left: 3 (70 enodes) 154.619 * * [simplify]: iters left: 2 (71 enodes) 154.634 * * [simplify]: Extracting #0: cost 1 inf + 0 154.634 * * [simplify]: Extracting #1: cost 6 inf + 0 154.634 * * [simplify]: Extracting #2: cost 9 inf + 1 154.634 * * [simplify]: Extracting #3: cost 11 inf + 1 154.634 * * [simplify]: Extracting #4: cost 10 inf + 2 154.635 * * [simplify]: Extracting #5: cost 4 inf + 730 154.635 * * [simplify]: Extracting #6: cost 0 inf + 1376 154.636 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 154.636 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow n (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 154.636 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 154.636 * * [simplify]: iters left: 6 (14 enodes) 154.646 * * [simplify]: iters left: 5 (58 enodes) 154.661 * * [simplify]: iters left: 4 (101 enodes) 154.680 * * [simplify]: iters left: 3 (190 enodes) 154.733 * * [simplify]: iters left: 2 (495 enodes) 154.975 * * [simplify]: Extracting #0: cost 1 inf + 0 154.975 * * [simplify]: Extracting #1: cost 116 inf + 0 154.977 * * [simplify]: Extracting #2: cost 501 inf + 0 154.979 * * [simplify]: Extracting #3: cost 608 inf + 3 154.984 * * [simplify]: Extracting #4: cost 592 inf + 2948 154.997 * * [simplify]: Extracting #5: cost 476 inf + 54356 155.041 * * [simplify]: Extracting #6: cost 128 inf + 333162 155.099 * * [simplify]: Extracting #7: cost 0 inf + 446913 155.189 * * [simplify]: Extracting #8: cost 0 inf + 440387 155.256 * * [simplify]: Extracting #9: cost 0 inf + 440095 155.327 * [simplify]: Simplified to (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 2)) (cbrt (sqrt k)))) 155.327 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 2)) (cbrt (sqrt k)))))) 155.327 * * * * [progress]: [ 235 / 463 ] simplifiying candidate # 155.328 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 155.328 * * [simplify]: iters left: 6 (15 enodes) 155.332 * * [simplify]: iters left: 5 (62 enodes) 155.344 * * [simplify]: iters left: 4 (112 enodes) 155.386 * * [simplify]: iters left: 3 (218 enodes) 155.448 * * [simplify]: Extracting #0: cost 1 inf + 0 155.448 * * [simplify]: Extracting #1: cost 35 inf + 0 155.449 * * [simplify]: Extracting #2: cost 107 inf + 1 155.449 * * [simplify]: Extracting #3: cost 143 inf + 2 155.450 * * [simplify]: Extracting #4: cost 130 inf + 1565 155.452 * * [simplify]: Extracting #5: cost 68 inf + 17970 155.465 * * [simplify]: Extracting #6: cost 8 inf + 52827 155.481 * * [simplify]: Extracting #7: cost 0 inf + 57802 155.499 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/4 (/ k 4))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 155.499 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* 2 PI) (- 1/4 (/ k 4))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow n (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 155.500 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 155.500 * * [simplify]: iters left: 6 (15 enodes) 155.509 * * [simplify]: iters left: 5 (64 enodes) 155.525 * * [simplify]: iters left: 4 (111 enodes) 155.545 * * [simplify]: iters left: 3 (218 enodes) 155.645 * * [simplify]: Extracting #0: cost 1 inf + 0 155.645 * * [simplify]: Extracting #1: cost 38 inf + 0 155.645 * * [simplify]: Extracting #2: cost 127 inf + 0 155.646 * * [simplify]: Extracting #3: cost 171 inf + 2 155.648 * * [simplify]: Extracting #4: cost 159 inf + 1129 155.653 * * [simplify]: Extracting #5: cost 95 inf + 20733 155.668 * * [simplify]: Extracting #6: cost 14 inf + 72991 155.687 * * [simplify]: Extracting #7: cost 0 inf + 83475 155.707 * * [simplify]: Extracting #8: cost 0 inf + 83129 155.726 * [simplify]: Simplified to (* (/ (pow n (- 1/4 (/ k 4))) (/ (cbrt (sqrt k)) (pow (* 2 PI) (- 1/4 (/ k 4))))) (pow n (- 1/4 (/ k 4)))) 155.726 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow 1 (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (/ (pow n (- 1/4 (/ k 4))) (/ (cbrt (sqrt k)) (pow (* 2 PI) (- 1/4 (/ k 4))))) (pow n (- 1/4 (/ k 4)))))) 155.726 * * * * [progress]: [ 236 / 463 ] simplifiying candidate # 155.726 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow 2 (/ (- 1 k) 2)))) 155.726 * * [simplify]: iters left: 6 (12 enodes) 155.730 * * [simplify]: iters left: 5 (48 enodes) 155.741 * * [simplify]: iters left: 4 (84 enodes) 155.758 * * [simplify]: iters left: 3 (138 enodes) 155.817 * * [simplify]: iters left: 2 (290 enodes) 155.963 * * [simplify]: Extracting #0: cost 1 inf + 0 155.963 * * [simplify]: Extracting #1: cost 49 inf + 0 155.964 * * [simplify]: Extracting #2: cost 140 inf + 1 155.965 * * [simplify]: Extracting #3: cost 182 inf + 4 155.967 * * [simplify]: Extracting #4: cost 165 inf + 3384 155.972 * * [simplify]: Extracting #5: cost 109 inf + 17227 155.988 * * [simplify]: Extracting #6: cost 19 inf + 75042 156.010 * * [simplify]: Extracting #7: cost 0 inf + 86632 156.027 * * [simplify]: Extracting #8: cost 0 inf + 85789 156.037 * [simplify]: Simplified to (/ (pow 2 (/ (- 1 k) 2)) (fabs (cbrt k))) 156.038 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow 2 (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))))) 156.038 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))) 156.038 * * [simplify]: iters left: 6 (13 enodes) 156.042 * * [simplify]: iters left: 5 (54 enodes) 156.054 * * [simplify]: iters left: 4 (97 enodes) 156.092 * * [simplify]: iters left: 3 (190 enodes) 156.151 * * [simplify]: Extracting #0: cost 1 inf + 0 156.151 * * [simplify]: Extracting #1: cost 38 inf + 0 156.151 * * [simplify]: Extracting #2: cost 128 inf + 0 156.152 * * [simplify]: Extracting #3: cost 160 inf + 3 156.153 * * [simplify]: Extracting #4: cost 150 inf + 1174 156.155 * * [simplify]: Extracting #5: cost 103 inf + 16859 156.161 * * [simplify]: Extracting #6: cost 17 inf + 68992 156.170 * * [simplify]: Extracting #7: cost 0 inf + 79771 156.184 * * [simplify]: Extracting #8: cost 0 inf + 79353 156.201 * * [simplify]: Extracting #9: cost 0 inf + 79352 156.219 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))) 156.219 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow 2 (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))))) 156.219 * * * * [progress]: [ 237 / 463 ] simplifiying candidate # 156.219 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 156.220 * * [simplify]: iters left: 6 (16 enodes) 156.225 * * [simplify]: iters left: 5 (63 enodes) 156.235 * * [simplify]: iters left: 4 (97 enodes) 156.252 * * [simplify]: iters left: 3 (147 enodes) 156.308 * * [simplify]: iters left: 2 (257 enodes) 156.380 * * [simplify]: iters left: 1 (418 enodes) 156.520 * * [simplify]: Extracting #0: cost 1 inf + 0 156.520 * * [simplify]: Extracting #1: cost 10 inf + 0 156.521 * * [simplify]: Extracting #2: cost 19 inf + 1 156.521 * * [simplify]: Extracting #3: cost 44 inf + 1 156.521 * * [simplify]: Extracting #4: cost 110 inf + 3 156.522 * * [simplify]: Extracting #5: cost 151 inf + 623 156.524 * * [simplify]: Extracting #6: cost 73 inf + 16181 156.530 * * [simplify]: Extracting #7: cost 17 inf + 43654 156.539 * * [simplify]: Extracting #8: cost 2 inf + 55010 156.556 * * [simplify]: Extracting #9: cost 0 inf + 57056 156.573 * [simplify]: Simplified to (/ (* (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2))))) (fabs (cbrt k))) 156.573 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2))))) (fabs (cbrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 156.574 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 156.574 * * [simplify]: iters left: 6 (15 enodes) 156.578 * * [simplify]: iters left: 5 (61 enodes) 156.589 * * [simplify]: iters left: 4 (100 enodes) 156.606 * * [simplify]: iters left: 3 (172 enodes) 156.656 * * [simplify]: iters left: 2 (347 enodes) 156.777 * * [simplify]: Extracting #0: cost 1 inf + 0 156.777 * * [simplify]: Extracting #1: cost 60 inf + 0 156.778 * * [simplify]: Extracting #2: cost 175 inf + 0 156.779 * * [simplify]: Extracting #3: cost 240 inf + 3 156.782 * * [simplify]: Extracting #4: cost 248 inf + 4340 156.789 * * [simplify]: Extracting #5: cost 175 inf + 29608 156.801 * * [simplify]: Extracting #6: cost 95 inf + 83776 156.817 * * [simplify]: Extracting #7: cost 18 inf + 150853 156.839 * * [simplify]: Extracting #8: cost 0 inf + 166845 156.866 * [simplify]: Simplified to (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ (- 1 k) 2)) (sqrt (cbrt k)))) 156.866 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow 1 (/ (- 1 k) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ (- 1 k) 2)) (sqrt (cbrt k)))))) 156.866 * * * * [progress]: [ 238 / 463 ] simplifiying candidate # 156.867 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 156.867 * * [simplify]: iters left: 6 (15 enodes) 156.876 * * [simplify]: iters left: 5 (58 enodes) 156.894 * * [simplify]: iters left: 4 (87 enodes) 156.908 * * [simplify]: iters left: 3 (124 enodes) 156.951 * * [simplify]: iters left: 2 (226 enodes) 157.033 * * [simplify]: iters left: 1 (386 enodes) 157.188 * * [simplify]: Extracting #0: cost 1 inf + 0 157.188 * * [simplify]: Extracting #1: cost 7 inf + 0 157.188 * * [simplify]: Extracting #2: cost 14 inf + 1 157.188 * * [simplify]: Extracting #3: cost 43 inf + 1 157.189 * * [simplify]: Extracting #4: cost 117 inf + 3 157.191 * * [simplify]: Extracting #5: cost 136 inf + 1160 157.194 * * [simplify]: Extracting #6: cost 89 inf + 7023 157.199 * * [simplify]: Extracting #7: cost 28 inf + 35779 157.207 * * [simplify]: Extracting #8: cost 0 inf + 58474 157.217 * * [simplify]: Extracting #9: cost 0 inf + 57245 157.227 * * [simplify]: Extracting #10: cost 0 inf + 56349 157.246 * [simplify]: Simplified to (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (fabs (cbrt k))) 157.246 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (fabs (cbrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 157.247 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 157.247 * * [simplify]: iters left: 6 (15 enodes) 157.255 * * [simplify]: iters left: 5 (61 enodes) 157.275 * * [simplify]: iters left: 4 (101 enodes) 157.311 * * [simplify]: iters left: 3 (173 enodes) 157.359 * * [simplify]: iters left: 2 (344 enodes) 157.495 * * [simplify]: Extracting #0: cost 1 inf + 0 157.496 * * [simplify]: Extracting #1: cost 60 inf + 0 157.497 * * [simplify]: Extracting #2: cost 170 inf + 0 157.498 * * [simplify]: Extracting #3: cost 242 inf + 3 157.501 * * [simplify]: Extracting #4: cost 231 inf + 9107 157.516 * * [simplify]: Extracting #5: cost 112 inf + 71616 157.551 * * [simplify]: Extracting #6: cost 12 inf + 151632 157.575 * * [simplify]: Extracting #7: cost 0 inf + 160850 157.608 * * [simplify]: Extracting #8: cost 0 inf + 160719 157.648 * * [simplify]: Extracting #9: cost 0 inf + 160629 157.672 * [simplify]: Simplified to (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow n (/ (- 1 k) 2)))) 157.673 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (fabs (cbrt k))) (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow n (/ (- 1 k) 2)))))) 157.673 * * * * [progress]: [ 239 / 463 ] simplifiying candidate # 157.673 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) 1)) 157.673 * * [simplify]: iters left: 6 (11 enodes) 157.680 * * [simplify]: iters left: 5 (40 enodes) 157.693 * * [simplify]: iters left: 4 (54 enodes) 157.706 * * [simplify]: Extracting #0: cost 1 inf + 0 157.706 * * [simplify]: Extracting #1: cost 4 inf + 0 157.706 * * [simplify]: Extracting #2: cost 6 inf + 1 157.706 * * [simplify]: Extracting #3: cost 9 inf + 1 157.706 * * [simplify]: Extracting #4: cost 2 inf + 689 157.706 * * [simplify]: Extracting #5: cost 0 inf + 972 157.706 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 157.706 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 157.706 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 157.707 * * [simplify]: iters left: 6 (14 enodes) 157.710 * * [simplify]: iters left: 5 (58 enodes) 157.722 * * [simplify]: iters left: 4 (101 enodes) 157.740 * * [simplify]: iters left: 3 (190 enodes) 157.827 * * [simplify]: iters left: 2 (495 enodes) 158.083 * * [simplify]: Extracting #0: cost 1 inf + 0 158.084 * * [simplify]: Extracting #1: cost 116 inf + 0 158.086 * * [simplify]: Extracting #2: cost 501 inf + 0 158.088 * * [simplify]: Extracting #3: cost 608 inf + 3 158.091 * * [simplify]: Extracting #4: cost 592 inf + 3028 158.102 * * [simplify]: Extracting #5: cost 476 inf + 54436 158.148 * * [simplify]: Extracting #6: cost 128 inf + 333242 158.247 * * [simplify]: Extracting #7: cost 0 inf + 446993 158.316 * * [simplify]: Extracting #8: cost 0 inf + 440467 158.385 * * [simplify]: Extracting #9: cost 0 inf + 440175 158.453 * [simplify]: Simplified to (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 2)) (sqrt (cbrt k)))) 158.453 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 2)) (sqrt (cbrt k)))))) 158.453 * * * * [progress]: [ 240 / 463 ] simplifiying candidate # 158.454 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 158.454 * * [simplify]: iters left: 6 (15 enodes) 158.463 * * [simplify]: iters left: 5 (61 enodes) 158.483 * * [simplify]: iters left: 4 (100 enodes) 158.520 * * [simplify]: iters left: 3 (167 enodes) 158.568 * * [simplify]: iters left: 2 (341 enodes) 158.746 * * [simplify]: Extracting #0: cost 1 inf + 0 158.747 * * [simplify]: Extracting #1: cost 49 inf + 0 158.747 * * [simplify]: Extracting #2: cost 140 inf + 1 158.748 * * [simplify]: Extracting #3: cost 193 inf + 3 158.749 * * [simplify]: Extracting #4: cost 168 inf + 7398 158.758 * * [simplify]: Extracting #5: cost 42 inf + 69691 158.778 * * [simplify]: Extracting #6: cost 0 inf + 95011 158.806 * * [simplify]: Extracting #7: cost 0 inf + 92614 158.833 * * [simplify]: Extracting #8: cost 0 inf + 92317 158.860 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 4)) (fabs (cbrt k))) 158.860 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* 2 PI) (/ (- 1 k) 4)) (fabs (cbrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 158.861 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 158.861 * * [simplify]: iters left: 6 (15 enodes) 158.870 * * [simplify]: iters left: 5 (64 enodes) 158.895 * * [simplify]: iters left: 4 (111 enodes) 158.933 * * [simplify]: iters left: 3 (218 enodes) 159.004 * * [simplify]: Extracting #0: cost 1 inf + 0 159.005 * * [simplify]: Extracting #1: cost 38 inf + 0 159.005 * * [simplify]: Extracting #2: cost 127 inf + 0 159.006 * * [simplify]: Extracting #3: cost 171 inf + 2 159.006 * * [simplify]: Extracting #4: cost 159 inf + 1169 159.009 * * [simplify]: Extracting #5: cost 95 inf + 20813 159.017 * * [simplify]: Extracting #6: cost 14 inf + 73071 159.026 * * [simplify]: Extracting #7: cost 0 inf + 83555 159.036 * * [simplify]: Extracting #8: cost 0 inf + 83209 159.051 * [simplify]: Simplified to (* (/ (pow n (- 1/4 (/ k 4))) (/ (sqrt (cbrt k)) (pow (* 2 PI) (- 1/4 (/ k 4))))) (pow n (- 1/4 (/ k 4)))) 159.052 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* 2 PI) (/ (- 1 k) 4)) (fabs (cbrt k))) (* (/ (pow n (- 1/4 (/ k 4))) (/ (sqrt (cbrt k)) (pow (* 2 PI) (- 1/4 (/ k 4))))) (pow n (- 1/4 (/ k 4)))))) 159.052 * * * * [progress]: [ 241 / 463 ] simplifiying candidate # 159.052 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 159.052 * * [simplify]: iters left: 6 (11 enodes) 159.055 * * [simplify]: iters left: 5 (44 enodes) 159.063 * * [simplify]: iters left: 4 (76 enodes) 159.077 * * [simplify]: iters left: 3 (135 enodes) 159.135 * * [simplify]: iters left: 2 (307 enodes) 159.284 * * [simplify]: Extracting #0: cost 1 inf + 0 159.284 * * [simplify]: Extracting #1: cost 45 inf + 0 159.285 * * [simplify]: Extracting #2: cost 140 inf + 1 159.285 * * [simplify]: Extracting #3: cost 181 inf + 4 159.286 * * [simplify]: Extracting #4: cost 168 inf + 2286 159.288 * * [simplify]: Extracting #5: cost 119 inf + 12864 159.294 * * [simplify]: Extracting #6: cost 31 inf + 63676 159.311 * * [simplify]: Extracting #7: cost 2 inf + 84292 159.332 * * [simplify]: Extracting #8: cost 0 inf + 83647 159.343 * * [simplify]: Extracting #9: cost 0 inf + 83386 159.353 * [simplify]: Simplified to (/ (pow 2 (/ (- 1 k) 2)) (sqrt (sqrt k))) 159.353 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow 2 (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 159.353 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 159.353 * * [simplify]: iters left: 6 (13 enodes) 159.357 * * [simplify]: iters left: 5 (54 enodes) 159.368 * * [simplify]: iters left: 4 (97 enodes) 159.399 * * [simplify]: iters left: 3 (190 enodes) 159.453 * * [simplify]: Extracting #0: cost 1 inf + 0 159.453 * * [simplify]: Extracting #1: cost 38 inf + 0 159.453 * * [simplify]: Extracting #2: cost 128 inf + 0 159.454 * * [simplify]: Extracting #3: cost 160 inf + 3 159.454 * * [simplify]: Extracting #4: cost 150 inf + 1094 159.456 * * [simplify]: Extracting #5: cost 103 inf + 16179 159.463 * * [simplify]: Extracting #6: cost 17 inf + 66872 159.471 * * [simplify]: Extracting #7: cost 0 inf + 77171 159.483 * * [simplify]: Extracting #8: cost 0 inf + 76753 159.499 * * [simplify]: Extracting #9: cost 0 inf + 76752 159.520 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 159.520 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow 2 (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 159.520 * * * * [progress]: [ 242 / 463 ] simplifiying candidate # 159.521 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 159.521 * * [simplify]: iters left: 6 (15 enodes) 159.530 * * [simplify]: iters left: 5 (59 enodes) 159.549 * * [simplify]: iters left: 4 (93 enodes) 159.566 * * [simplify]: iters left: 3 (140 enodes) 159.599 * * [simplify]: iters left: 2 (245 enodes) 159.665 * * [simplify]: iters left: 1 (411 enodes) 159.790 * * [simplify]: Extracting #0: cost 1 inf + 0 159.790 * * [simplify]: Extracting #1: cost 10 inf + 0 159.790 * * [simplify]: Extracting #2: cost 18 inf + 1 159.790 * * [simplify]: Extracting #3: cost 42 inf + 1 159.791 * * [simplify]: Extracting #4: cost 107 inf + 3 159.791 * * [simplify]: Extracting #5: cost 143 inf + 379 159.793 * * [simplify]: Extracting #6: cost 95 inf + 6844 159.797 * * [simplify]: Extracting #7: cost 34 inf + 30620 159.804 * * [simplify]: Extracting #8: cost 3 inf + 55579 159.818 * * [simplify]: Extracting #9: cost 0 inf + 57847 159.831 * [simplify]: Simplified to (/ (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))) (sqrt (sqrt k))) 159.832 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 159.832 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 159.832 * * [simplify]: iters left: 6 (15 enodes) 159.840 * * [simplify]: iters left: 5 (61 enodes) 159.860 * * [simplify]: iters left: 4 (100 enodes) 159.893 * * [simplify]: iters left: 3 (172 enodes) 159.959 * * [simplify]: iters left: 2 (347 enodes) 160.101 * * [simplify]: Extracting #0: cost 1 inf + 0 160.101 * * [simplify]: Extracting #1: cost 60 inf + 0 160.102 * * [simplify]: Extracting #2: cost 175 inf + 0 160.103 * * [simplify]: Extracting #3: cost 240 inf + 3 160.104 * * [simplify]: Extracting #4: cost 248 inf + 4140 160.107 * * [simplify]: Extracting #5: cost 175 inf + 28688 160.118 * * [simplify]: Extracting #6: cost 95 inf + 81416 160.149 * * [simplify]: Extracting #7: cost 18 inf + 147133 160.187 * * [simplify]: Extracting #8: cost 0 inf + 162845 160.228 * [simplify]: Simplified to (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k)))) 160.229 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow 1 (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k)))))) 160.229 * * * * [progress]: [ 243 / 463 ] simplifiying candidate # 160.229 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 160.229 * * [simplify]: iters left: 6 (14 enodes) 160.237 * * [simplify]: iters left: 5 (54 enodes) 160.255 * * [simplify]: iters left: 4 (87 enodes) 160.283 * * [simplify]: iters left: 3 (122 enodes) 160.324 * * [simplify]: iters left: 2 (206 enodes) 160.383 * * [simplify]: iters left: 1 (368 enodes) 160.511 * * [simplify]: Extracting #0: cost 1 inf + 0 160.511 * * [simplify]: Extracting #1: cost 7 inf + 0 160.511 * * [simplify]: Extracting #2: cost 13 inf + 1 160.511 * * [simplify]: Extracting #3: cost 40 inf + 1 160.512 * * [simplify]: Extracting #4: cost 119 inf + 3 160.513 * * [simplify]: Extracting #5: cost 147 inf + 710 160.517 * * [simplify]: Extracting #6: cost 91 inf + 11942 160.528 * * [simplify]: Extracting #7: cost 8 inf + 57340 160.537 * * [simplify]: Extracting #8: cost 0 inf + 63923 160.546 * * [simplify]: Extracting #9: cost 0 inf + 63524 160.557 * [simplify]: Simplified to (/ (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (sqrt (sqrt k))) 160.557 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 160.557 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 160.557 * * [simplify]: iters left: 6 (15 enodes) 160.566 * * [simplify]: iters left: 5 (61 enodes) 160.587 * * [simplify]: iters left: 4 (101 enodes) 160.612 * * [simplify]: iters left: 3 (173 enodes) 160.647 * * [simplify]: iters left: 2 (344 enodes) 160.768 * * [simplify]: Extracting #0: cost 1 inf + 0 160.768 * * [simplify]: Extracting #1: cost 60 inf + 0 160.769 * * [simplify]: Extracting #2: cost 170 inf + 0 160.770 * * [simplify]: Extracting #3: cost 242 inf + 3 160.773 * * [simplify]: Extracting #4: cost 231 inf + 8787 160.787 * * [simplify]: Extracting #5: cost 112 inf + 69376 160.820 * * [simplify]: Extracting #6: cost 12 inf + 147832 160.840 * * [simplify]: Extracting #7: cost 0 inf + 156850 160.873 * * [simplify]: Extracting #8: cost 0 inf + 156719 160.903 * * [simplify]: Extracting #9: cost 0 inf + 156629 160.927 * [simplify]: Simplified to (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) 160.927 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow 1 (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))))) 160.928 * * * * [progress]: [ 244 / 463 ] simplifiying candidate # 160.928 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) 1)) 160.928 * * [simplify]: iters left: 6 (10 enodes) 160.934 * * [simplify]: iters left: 5 (36 enodes) 160.946 * * [simplify]: iters left: 4 (47 enodes) 160.958 * * [simplify]: Extracting #0: cost 1 inf + 0 160.958 * * [simplify]: Extracting #1: cost 4 inf + 0 160.958 * * [simplify]: Extracting #2: cost 5 inf + 1 160.958 * * [simplify]: Extracting #3: cost 7 inf + 1 160.958 * * [simplify]: Extracting #4: cost 0 inf + 490 160.958 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 160.959 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 160.959 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 160.959 * * [simplify]: iters left: 6 (14 enodes) 160.966 * * [simplify]: iters left: 5 (58 enodes) 160.986 * * [simplify]: iters left: 4 (101 enodes) 161.019 * * [simplify]: iters left: 3 (190 enodes) 161.107 * * [simplify]: iters left: 2 (495 enodes) 161.355 * * [simplify]: Extracting #0: cost 1 inf + 0 161.355 * * [simplify]: Extracting #1: cost 116 inf + 0 161.358 * * [simplify]: Extracting #2: cost 501 inf + 0 161.362 * * [simplify]: Extracting #3: cost 608 inf + 3 161.367 * * [simplify]: Extracting #4: cost 592 inf + 2788 161.375 * * [simplify]: Extracting #5: cost 476 inf + 53196 161.404 * * [simplify]: Extracting #6: cost 128 inf + 326522 161.473 * * [simplify]: Extracting #7: cost 0 inf + 437353 161.572 * * [simplify]: Extracting #8: cost 0 inf + 430827 161.645 * * [simplify]: Extracting #9: cost 0 inf + 430535 161.717 * [simplify]: Simplified to (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k)))) 161.717 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k)))))) 161.717 * * * * [progress]: [ 245 / 463 ] simplifiying candidate # 161.718 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 161.718 * * [simplify]: iters left: 6 (14 enodes) 161.724 * * [simplify]: iters left: 5 (57 enodes) 161.735 * * [simplify]: iters left: 4 (99 enodes) 161.753 * * [simplify]: iters left: 3 (170 enodes) 161.802 * * [simplify]: iters left: 2 (358 enodes) 161.966 * * [simplify]: Extracting #0: cost 1 inf + 0 161.966 * * [simplify]: Extracting #1: cost 47 inf + 0 161.967 * * [simplify]: Extracting #2: cost 127 inf + 1 161.968 * * [simplify]: Extracting #3: cost 176 inf + 3 161.970 * * [simplify]: Extracting #4: cost 171 inf + 759 161.974 * * [simplify]: Extracting #5: cost 122 inf + 11682 161.990 * * [simplify]: Extracting #6: cost 21 inf + 69939 162.014 * * [simplify]: Extracting #7: cost 0 inf + 80910 162.041 * * [simplify]: Extracting #8: cost 0 inf + 80713 162.059 * [simplify]: Simplified to (/ (pow (* PI 2) (/ (- 1 k) 4)) (sqrt (sqrt k))) 162.059 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* PI 2) (/ (- 1 k) 4)) (sqrt (sqrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 162.059 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 162.059 * * [simplify]: iters left: 6 (15 enodes) 162.064 * * [simplify]: iters left: 5 (64 enodes) 162.076 * * [simplify]: iters left: 4 (111 enodes) 162.109 * * [simplify]: iters left: 3 (218 enodes) 162.174 * * [simplify]: Extracting #0: cost 1 inf + 0 162.174 * * [simplify]: Extracting #1: cost 38 inf + 0 162.175 * * [simplify]: Extracting #2: cost 127 inf + 0 162.175 * * [simplify]: Extracting #3: cost 171 inf + 2 162.176 * * [simplify]: Extracting #4: cost 159 inf + 1089 162.178 * * [simplify]: Extracting #5: cost 95 inf + 20173 162.186 * * [simplify]: Extracting #6: cost 14 inf + 70791 162.195 * * [simplify]: Extracting #7: cost 0 inf + 80955 162.213 * * [simplify]: Extracting #8: cost 0 inf + 80609 162.232 * [simplify]: Simplified to (* (/ (pow n (- 1/4 (/ k 4))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (- 1/4 (/ k 4))))) (pow n (- 1/4 (/ k 4)))) 162.232 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow 1 (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (/ (pow n (- 1/4 (/ k 4))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (- 1/4 (/ k 4))))) (pow n (- 1/4 (/ k 4)))))) 162.232 * * * * [progress]: [ 246 / 463 ] simplifiying candidate # 162.233 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (/ (sqrt 1) (pow 2 (/ (- 1 k) 2)))) 162.233 * * [simplify]: iters left: 6 (10 enodes) 162.241 * * [simplify]: iters left: 5 (41 enodes) 162.252 * * [simplify]: iters left: 4 (68 enodes) 162.266 * * [simplify]: iters left: 3 (108 enodes) 162.296 * * [simplify]: iters left: 2 (201 enodes) 162.346 * * [simplify]: iters left: 1 (405 enodes) 162.592 * * [simplify]: Extracting #0: cost 1 inf + 0 162.592 * * [simplify]: Extracting #1: cost 45 inf + 0 162.593 * * [simplify]: Extracting #2: cost 171 inf + 3 162.596 * * [simplify]: Extracting #3: cost 225 inf + 7 162.599 * * [simplify]: Extracting #4: cost 180 inf + 9544 162.610 * * [simplify]: Extracting #5: cost 113 inf + 27015 162.621 * * [simplify]: Extracting #6: cost 50 inf + 63507 162.651 * * [simplify]: Extracting #7: cost 4 inf + 99608 162.674 * * [simplify]: Extracting #8: cost 0 inf + 102143 162.702 * [simplify]: Simplified to (pow 2 (/ (- 1 k) 2)) 162.702 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow 2 (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 162.703 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 162.703 * * [simplify]: iters left: 6 (12 enodes) 162.710 * * [simplify]: iters left: 5 (51 enodes) 162.727 * * [simplify]: iters left: 4 (90 enodes) 162.756 * * [simplify]: iters left: 3 (181 enodes) 162.807 * * [simplify]: Extracting #0: cost 1 inf + 0 162.808 * * [simplify]: Extracting #1: cost 38 inf + 0 162.808 * * [simplify]: Extracting #2: cost 127 inf + 0 162.809 * * [simplify]: Extracting #3: cost 156 inf + 45 162.810 * * [simplify]: Extracting #4: cost 149 inf + 1928 162.815 * * [simplify]: Extracting #5: cost 91 inf + 21734 162.825 * * [simplify]: Extracting #6: cost 7 inf + 71818 162.836 * * [simplify]: Extracting #7: cost 0 inf + 75903 162.844 * [simplify]: Simplified to (* (/ (pow n (/ (- 1 k) 2)) (sqrt k)) (pow PI (/ (- 1 k) 2))) 162.844 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow 2 (/ (- 1 k) 2)) (* (/ (pow n (/ (- 1 k) 2)) (sqrt k)) (pow PI (/ (- 1 k) 2))))) 162.844 * * * * [progress]: [ 247 / 463 ] simplifiying candidate # 162.844 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (/ (sqrt 1) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 162.844 * * [simplify]: iters left: 6 (14 enodes) 162.850 * * [simplify]: iters left: 5 (56 enodes) 162.861 * * [simplify]: iters left: 4 (86 enodes) 162.887 * * [simplify]: iters left: 3 (122 enodes) 162.921 * * [simplify]: iters left: 2 (202 enodes) 162.964 * * [simplify]: iters left: 1 (362 enodes) 163.069 * * [simplify]: Extracting #0: cost 1 inf + 0 163.069 * * [simplify]: Extracting #1: cost 6 inf + 0 163.069 * * [simplify]: Extracting #2: cost 9 inf + 1 163.069 * * [simplify]: Extracting #3: cost 33 inf + 1 163.070 * * [simplify]: Extracting #4: cost 97 inf + 2 163.071 * * [simplify]: Extracting #5: cost 138 inf + 50 163.072 * * [simplify]: Extracting #6: cost 136 inf + 433 163.077 * * [simplify]: Extracting #7: cost 73 inf + 12326 163.090 * * [simplify]: Extracting #8: cost 28 inf + 31321 163.109 * * [simplify]: Extracting #9: cost 4 inf + 46575 163.124 * * [simplify]: Extracting #10: cost 0 inf + 49452 163.139 * * [simplify]: Extracting #11: cost 0 inf + 49362 163.158 * [simplify]: Simplified to (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) 163.158 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 163.159 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 163.159 * * [simplify]: iters left: 6 (14 enodes) 163.167 * * [simplify]: iters left: 5 (58 enodes) 163.186 * * [simplify]: iters left: 4 (97 enodes) 163.206 * * [simplify]: iters left: 3 (165 enodes) 163.249 * * [simplify]: iters left: 2 (334 enodes) 163.374 * * [simplify]: Extracting #0: cost 1 inf + 0 163.374 * * [simplify]: Extracting #1: cost 61 inf + 0 163.375 * * [simplify]: Extracting #2: cost 173 inf + 0 163.375 * * [simplify]: Extracting #3: cost 237 inf + 45 163.377 * * [simplify]: Extracting #4: cost 226 inf + 9063 163.381 * * [simplify]: Extracting #5: cost 155 inf + 40750 163.389 * * [simplify]: Extracting #6: cost 102 inf + 72390 163.404 * * [simplify]: Extracting #7: cost 19 inf + 143233 163.422 * * [simplify]: Extracting #8: cost 0 inf + 161480 163.452 * * [simplify]: Extracting #9: cost 0 inf + 161349 163.480 * [simplify]: Simplified to (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ (- 1 k) 2)) (sqrt k))) 163.480 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ (- 1 k) 2)) (sqrt k))))) 163.480 * * * * [progress]: [ 248 / 463 ] simplifiying candidate # 163.481 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (/ (sqrt 1) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 163.481 * * [simplify]: iters left: 6 (13 enodes) 163.487 * * [simplify]: iters left: 5 (51 enodes) 163.495 * * [simplify]: iters left: 4 (77 enodes) 163.508 * * [simplify]: iters left: 3 (112 enodes) 163.527 * * [simplify]: iters left: 2 (183 enodes) 163.568 * * [simplify]: iters left: 1 (339 enodes) 163.679 * * [simplify]: Extracting #0: cost 1 inf + 0 163.679 * * [simplify]: Extracting #1: cost 6 inf + 0 163.679 * * [simplify]: Extracting #2: cost 30 inf + 1 163.679 * * [simplify]: Extracting #3: cost 112 inf + 2 163.680 * * [simplify]: Extracting #4: cost 140 inf + 51 163.681 * * [simplify]: Extracting #5: cost 130 inf + 1257 163.683 * * [simplify]: Extracting #6: cost 69 inf + 11182 163.689 * * [simplify]: Extracting #7: cost 11 inf + 46646 163.697 * * [simplify]: Extracting #8: cost 0 inf + 54942 163.705 * [simplify]: Simplified to (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) 163.705 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 163.705 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 163.706 * * [simplify]: iters left: 6 (14 enodes) 163.709 * * [simplify]: iters left: 5 (58 enodes) 163.725 * * [simplify]: iters left: 4 (98 enodes) 163.741 * * [simplify]: iters left: 3 (166 enodes) 163.772 * * [simplify]: iters left: 2 (335 enodes) 163.897 * * [simplify]: Extracting #0: cost 1 inf + 0 163.898 * * [simplify]: Extracting #1: cost 66 inf + 0 163.899 * * [simplify]: Extracting #2: cost 183 inf + 0 163.900 * * [simplify]: Extracting #3: cost 250 inf + 45 163.904 * * [simplify]: Extracting #4: cost 243 inf + 6074 163.914 * * [simplify]: Extracting #5: cost 146 inf + 49131 163.939 * * [simplify]: Extracting #6: cost 81 inf + 89679 163.966 * * [simplify]: Extracting #7: cost 9 inf + 153685 163.986 * * [simplify]: Extracting #8: cost 0 inf + 161635 164.013 * [simplify]: Simplified to (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ (- 1 k) 2)) (sqrt k))) 164.013 * [simplify]: Simplified (2 2) to (λ (k n) (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ (- 1 k) 2)) (sqrt k))))) 164.013 * * * * [progress]: [ 249 / 463 ] simplifiying candidate # 164.013 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (/ (sqrt 1) 1)) 164.013 * * [simplify]: iters left: 6 (9 enodes) 164.019 * * [simplify]: iters left: 5 (33 enodes) 164.024 * * [simplify]: iters left: 4 (42 enodes) 164.030 * * [simplify]: Extracting #0: cost 1 inf + 0 164.030 * * [simplify]: Extracting #1: cost 0 inf + 1 164.030 * [simplify]: Simplified to 1 164.030 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 164.031 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 164.031 * * [simplify]: iters left: 6 (13 enodes) 164.035 * * [simplify]: iters left: 5 (55 enodes) 164.056 * * [simplify]: iters left: 4 (98 enodes) 164.084 * * [simplify]: iters left: 3 (187 enodes) 164.147 * * [simplify]: Extracting #0: cost 1 inf + 0 164.147 * * [simplify]: Extracting #1: cost 38 inf + 0 164.148 * * [simplify]: Extracting #2: cost 129 inf + 0 164.149 * * [simplify]: Extracting #3: cost 161 inf + 44 164.150 * * [simplify]: Extracting #4: cost 144 inf + 1752 164.158 * * [simplify]: Extracting #5: cost 82 inf + 24648 164.173 * * [simplify]: Extracting #6: cost 10 inf + 71854 164.191 * * [simplify]: Extracting #7: cost 0 inf + 80166 164.209 * [simplify]: Simplified to (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 2)) (sqrt k))) 164.209 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 2)) (sqrt k))))) 164.210 * * * * [progress]: [ 250 / 463 ] simplifiying candidate # 164.210 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (/ (sqrt 1) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 164.210 * * [simplify]: iters left: 6 (13 enodes) 164.220 * * [simplify]: iters left: 5 (54 enodes) 164.238 * * [simplify]: iters left: 4 (84 enodes) 164.254 * * [simplify]: iters left: 3 (139 enodes) 164.293 * * [simplify]: iters left: 2 (277 enodes) 164.382 * * [simplify]: Extracting #0: cost 1 inf + 0 164.382 * * [simplify]: Extracting #1: cost 22 inf + 0 164.382 * * [simplify]: Extracting #2: cost 80 inf + 2 164.383 * * [simplify]: Extracting #3: cost 124 inf + 51 164.385 * * [simplify]: Extracting #4: cost 112 inf + 1839 164.391 * * [simplify]: Extracting #5: cost 30 inf + 25334 164.406 * * [simplify]: Extracting #6: cost 0 inf + 40673 164.411 * [simplify]: Simplified to (pow (* 2 PI) (* 1/4 (- 1 k))) 164.411 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* 2 PI) (* 1/4 (- 1 k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 164.411 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 164.411 * * [simplify]: iters left: 6 (14 enodes) 164.416 * * [simplify]: iters left: 5 (61 enodes) 164.427 * * [simplify]: iters left: 4 (108 enodes) 164.455 * * [simplify]: iters left: 3 (215 enodes) 164.531 * * [simplify]: Extracting #0: cost 1 inf + 0 164.531 * * [simplify]: Extracting #1: cost 38 inf + 0 164.532 * * [simplify]: Extracting #2: cost 131 inf + 0 164.533 * * [simplify]: Extracting #3: cost 171 inf + 44 164.534 * * [simplify]: Extracting #4: cost 158 inf + 1557 164.540 * * [simplify]: Extracting #5: cost 92 inf + 24399 164.550 * * [simplify]: Extracting #6: cost 13 inf + 72558 164.559 * * [simplify]: Extracting #7: cost 0 inf + 80426 164.568 * * [simplify]: Extracting #8: cost 0 inf + 80340 164.581 * * [simplify]: Extracting #9: cost 0 inf + 79944 164.600 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 4)) (/ (sqrt k) (pow n (/ (- 1 k) 2)))) 164.600 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (* 2 PI) (* 1/4 (- 1 k))) (/ (pow (* 2 PI) (/ (- 1 k) 4)) (/ (sqrt k) (pow n (/ (- 1 k) 2)))))) 164.600 * * * * [progress]: [ 251 / 463 ] simplifiying candidate # 164.600 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 164.600 * * [simplify]: iters left: 6 (11 enodes) 164.607 * * [simplify]: iters left: 5 (44 enodes) 164.619 * * [simplify]: iters left: 4 (76 enodes) 164.633 * * [simplify]: iters left: 3 (135 enodes) 164.690 * * [simplify]: iters left: 2 (307 enodes) 164.820 * * [simplify]: Extracting #0: cost 1 inf + 0 164.820 * * [simplify]: Extracting #1: cost 45 inf + 0 164.820 * * [simplify]: Extracting #2: cost 140 inf + 1 164.821 * * [simplify]: Extracting #3: cost 181 inf + 4 164.822 * * [simplify]: Extracting #4: cost 168 inf + 2286 164.824 * * [simplify]: Extracting #5: cost 119 inf + 12864 164.835 * * [simplify]: Extracting #6: cost 31 inf + 63676 164.856 * * [simplify]: Extracting #7: cost 2 inf + 84292 164.873 * * [simplify]: Extracting #8: cost 0 inf + 83647 164.883 * * [simplify]: Extracting #9: cost 0 inf + 83386 164.893 * [simplify]: Simplified to (/ (pow 2 (/ (- 1 k) 2)) (sqrt (sqrt k))) 164.894 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow 2 (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 164.894 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 164.894 * * [simplify]: iters left: 6 (13 enodes) 164.898 * * [simplify]: iters left: 5 (54 enodes) 164.917 * * [simplify]: iters left: 4 (97 enodes) 164.941 * * [simplify]: iters left: 3 (190 enodes) 165.007 * * [simplify]: Extracting #0: cost 1 inf + 0 165.007 * * [simplify]: Extracting #1: cost 38 inf + 0 165.008 * * [simplify]: Extracting #2: cost 128 inf + 0 165.008 * * [simplify]: Extracting #3: cost 160 inf + 3 165.009 * * [simplify]: Extracting #4: cost 150 inf + 1094 165.011 * * [simplify]: Extracting #5: cost 103 inf + 16179 165.017 * * [simplify]: Extracting #6: cost 17 inf + 66872 165.026 * * [simplify]: Extracting #7: cost 0 inf + 77171 165.047 * * [simplify]: Extracting #8: cost 0 inf + 76753 165.064 * * [simplify]: Extracting #9: cost 0 inf + 76752 165.081 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 165.081 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow 2 (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 165.082 * * * * [progress]: [ 252 / 463 ] simplifiying candidate # 165.082 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 165.082 * * [simplify]: iters left: 6 (15 enodes) 165.090 * * [simplify]: iters left: 5 (59 enodes) 165.110 * * [simplify]: iters left: 4 (93 enodes) 165.137 * * [simplify]: iters left: 3 (140 enodes) 165.175 * * [simplify]: iters left: 2 (245 enodes) 165.250 * * [simplify]: iters left: 1 (411 enodes) 165.398 * * [simplify]: Extracting #0: cost 1 inf + 0 165.398 * * [simplify]: Extracting #1: cost 10 inf + 0 165.398 * * [simplify]: Extracting #2: cost 18 inf + 1 165.398 * * [simplify]: Extracting #3: cost 42 inf + 1 165.399 * * [simplify]: Extracting #4: cost 107 inf + 3 165.400 * * [simplify]: Extracting #5: cost 143 inf + 379 165.403 * * [simplify]: Extracting #6: cost 95 inf + 6844 165.411 * * [simplify]: Extracting #7: cost 34 inf + 30620 165.427 * * [simplify]: Extracting #8: cost 3 inf + 55579 165.443 * * [simplify]: Extracting #9: cost 0 inf + 57847 165.451 * [simplify]: Simplified to (/ (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))) (sqrt (sqrt k))) 165.451 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 165.452 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 165.452 * * [simplify]: iters left: 6 (15 enodes) 165.456 * * [simplify]: iters left: 5 (61 enodes) 165.467 * * [simplify]: iters left: 4 (100 enodes) 165.498 * * [simplify]: iters left: 3 (172 enodes) 165.564 * * [simplify]: iters left: 2 (347 enodes) 165.665 * * [simplify]: Extracting #0: cost 1 inf + 0 165.665 * * [simplify]: Extracting #1: cost 60 inf + 0 165.666 * * [simplify]: Extracting #2: cost 175 inf + 0 165.668 * * [simplify]: Extracting #3: cost 240 inf + 3 165.671 * * [simplify]: Extracting #4: cost 248 inf + 4140 165.678 * * [simplify]: Extracting #5: cost 175 inf + 28688 165.694 * * [simplify]: Extracting #6: cost 95 inf + 81416 165.710 * * [simplify]: Extracting #7: cost 18 inf + 147133 165.739 * * [simplify]: Extracting #8: cost 0 inf + 162845 165.776 * [simplify]: Simplified to (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k)))) 165.777 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow 1 (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k)))))) 165.777 * * * * [progress]: [ 253 / 463 ] simplifiying candidate # 165.777 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 165.777 * * [simplify]: iters left: 6 (14 enodes) 165.785 * * [simplify]: iters left: 5 (54 enodes) 165.803 * * [simplify]: iters left: 4 (87 enodes) 165.830 * * [simplify]: iters left: 3 (122 enodes) 165.853 * * [simplify]: iters left: 2 (206 enodes) 165.895 * * [simplify]: iters left: 1 (368 enodes) 166.002 * * [simplify]: Extracting #0: cost 1 inf + 0 166.002 * * [simplify]: Extracting #1: cost 7 inf + 0 166.002 * * [simplify]: Extracting #2: cost 13 inf + 1 166.003 * * [simplify]: Extracting #3: cost 40 inf + 1 166.003 * * [simplify]: Extracting #4: cost 119 inf + 3 166.004 * * [simplify]: Extracting #5: cost 147 inf + 710 166.009 * * [simplify]: Extracting #6: cost 91 inf + 11942 166.027 * * [simplify]: Extracting #7: cost 8 inf + 57340 166.045 * * [simplify]: Extracting #8: cost 0 inf + 63923 166.062 * * [simplify]: Extracting #9: cost 0 inf + 63524 166.079 * [simplify]: Simplified to (/ (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (sqrt (sqrt k))) 166.079 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 166.080 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 166.080 * * [simplify]: iters left: 6 (15 enodes) 166.087 * * [simplify]: iters left: 5 (61 enodes) 166.098 * * [simplify]: iters left: 4 (101 enodes) 166.117 * * [simplify]: iters left: 3 (173 enodes) 166.170 * * [simplify]: iters left: 2 (344 enodes) 166.290 * * [simplify]: Extracting #0: cost 1 inf + 0 166.290 * * [simplify]: Extracting #1: cost 60 inf + 0 166.291 * * [simplify]: Extracting #2: cost 170 inf + 0 166.293 * * [simplify]: Extracting #3: cost 242 inf + 3 166.295 * * [simplify]: Extracting #4: cost 231 inf + 8787 166.302 * * [simplify]: Extracting #5: cost 112 inf + 69376 166.320 * * [simplify]: Extracting #6: cost 12 inf + 147832 166.359 * * [simplify]: Extracting #7: cost 0 inf + 156850 166.392 * * [simplify]: Extracting #8: cost 0 inf + 156719 166.412 * * [simplify]: Extracting #9: cost 0 inf + 156629 166.445 * [simplify]: Simplified to (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) 166.445 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow 1 (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))))) 166.445 * * * * [progress]: [ 254 / 463 ] simplifiying candidate # 166.445 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) 1)) 166.445 * * [simplify]: iters left: 6 (10 enodes) 166.451 * * [simplify]: iters left: 5 (36 enodes) 166.463 * * [simplify]: iters left: 4 (47 enodes) 166.476 * * [simplify]: Extracting #0: cost 1 inf + 0 166.476 * * [simplify]: Extracting #1: cost 4 inf + 0 166.476 * * [simplify]: Extracting #2: cost 5 inf + 1 166.476 * * [simplify]: Extracting #3: cost 7 inf + 1 166.476 * * [simplify]: Extracting #4: cost 0 inf + 490 166.476 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 166.476 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 166.477 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 166.477 * * [simplify]: iters left: 6 (14 enodes) 166.484 * * [simplify]: iters left: 5 (58 enodes) 166.504 * * [simplify]: iters left: 4 (101 enodes) 166.540 * * [simplify]: iters left: 3 (190 enodes) 166.615 * * [simplify]: iters left: 2 (495 enodes) 166.841 * * [simplify]: Extracting #0: cost 1 inf + 0 166.841 * * [simplify]: Extracting #1: cost 116 inf + 0 166.844 * * [simplify]: Extracting #2: cost 501 inf + 0 166.849 * * [simplify]: Extracting #3: cost 608 inf + 3 166.854 * * [simplify]: Extracting #4: cost 592 inf + 2788 166.866 * * [simplify]: Extracting #5: cost 476 inf + 53196 166.906 * * [simplify]: Extracting #6: cost 128 inf + 326522 166.973 * * [simplify]: Extracting #7: cost 0 inf + 437353 167.446 * * [simplify]: Extracting #8: cost 0 inf + 430827 167.545 * * [simplify]: Extracting #9: cost 0 inf + 430535 167.629 * [simplify]: Simplified to (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k)))) 167.630 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k)))))) 167.630 * * * * [progress]: [ 255 / 463 ] simplifiying candidate # 167.630 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 167.630 * * [simplify]: iters left: 6 (14 enodes) 167.635 * * [simplify]: iters left: 5 (57 enodes) 167.645 * * [simplify]: iters left: 4 (99 enodes) 167.668 * * [simplify]: iters left: 3 (170 enodes) 167.718 * * [simplify]: iters left: 2 (358 enodes) 167.834 * * [simplify]: Extracting #0: cost 1 inf + 0 167.834 * * [simplify]: Extracting #1: cost 47 inf + 0 167.835 * * [simplify]: Extracting #2: cost 127 inf + 1 167.835 * * [simplify]: Extracting #3: cost 176 inf + 3 167.836 * * [simplify]: Extracting #4: cost 171 inf + 759 167.838 * * [simplify]: Extracting #5: cost 122 inf + 11682 167.849 * * [simplify]: Extracting #6: cost 21 inf + 69939 167.861 * * [simplify]: Extracting #7: cost 0 inf + 80910 167.884 * * [simplify]: Extracting #8: cost 0 inf + 80713 167.907 * [simplify]: Simplified to (/ (pow (* PI 2) (/ (- 1 k) 4)) (sqrt (sqrt k))) 167.907 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* PI 2) (/ (- 1 k) 4)) (sqrt (sqrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 167.907 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 167.908 * * [simplify]: iters left: 6 (15 enodes) 167.916 * * [simplify]: iters left: 5 (64 enodes) 167.937 * * [simplify]: iters left: 4 (111 enodes) 167.975 * * [simplify]: iters left: 3 (218 enodes) 168.064 * * [simplify]: Extracting #0: cost 1 inf + 0 168.064 * * [simplify]: Extracting #1: cost 38 inf + 0 168.065 * * [simplify]: Extracting #2: cost 127 inf + 0 168.065 * * [simplify]: Extracting #3: cost 171 inf + 2 168.066 * * [simplify]: Extracting #4: cost 159 inf + 1089 168.068 * * [simplify]: Extracting #5: cost 95 inf + 20173 168.076 * * [simplify]: Extracting #6: cost 14 inf + 70791 168.086 * * [simplify]: Extracting #7: cost 0 inf + 80955 168.098 * * [simplify]: Extracting #8: cost 0 inf + 80609 168.107 * [simplify]: Simplified to (* (/ (pow n (- 1/4 (/ k 4))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (- 1/4 (/ k 4))))) (pow n (- 1/4 (/ k 4)))) 168.107 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow 1 (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (/ (pow n (- 1/4 (/ k 4))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (- 1/4 (/ k 4))))) (pow n (- 1/4 (/ k 4)))))) 168.107 * * * * [progress]: [ 256 / 463 ] simplifiying candidate # 168.108 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (/ 1 (pow 2 (/ (- 1 k) 2)))) 168.108 * * [simplify]: iters left: 6 (9 enodes) 168.111 * * [simplify]: iters left: 5 (38 enodes) 168.119 * * [simplify]: iters left: 4 (65 enodes) 168.130 * * [simplify]: iters left: 3 (105 enodes) 168.148 * * [simplify]: iters left: 2 (194 enodes) 168.221 * * [simplify]: iters left: 1 (398 enodes) 168.478 * * [simplify]: Extracting #0: cost 1 inf + 0 168.478 * * [simplify]: Extracting #1: cost 49 inf + 0 168.480 * * [simplify]: Extracting #2: cost 178 inf + 3 168.481 * * [simplify]: Extracting #3: cost 226 inf + 7 168.484 * * [simplify]: Extracting #4: cost 205 inf + 2388 168.493 * * [simplify]: Extracting #5: cost 117 inf + 31584 168.511 * * [simplify]: Extracting #6: cost 12 inf + 103864 168.529 * * [simplify]: Extracting #7: cost 0 inf + 112625 168.568 * * [simplify]: Extracting #8: cost 0 inf + 111980 168.611 * * [simplify]: Extracting #9: cost 0 inf + 111936 168.651 * [simplify]: Simplified to (pow 2 (/ (- 1 k) 2)) 168.651 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow 2 (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 168.652 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 168.652 * * [simplify]: iters left: 6 (12 enodes) 168.658 * * [simplify]: iters left: 5 (51 enodes) 168.676 * * [simplify]: iters left: 4 (90 enodes) 168.707 * * [simplify]: iters left: 3 (181 enodes) 168.795 * * [simplify]: Extracting #0: cost 1 inf + 0 168.795 * * [simplify]: Extracting #1: cost 38 inf + 0 168.795 * * [simplify]: Extracting #2: cost 127 inf + 0 168.796 * * [simplify]: Extracting #3: cost 156 inf + 45 168.798 * * [simplify]: Extracting #4: cost 149 inf + 1928 168.802 * * [simplify]: Extracting #5: cost 91 inf + 21734 168.809 * * [simplify]: Extracting #6: cost 7 inf + 71818 168.817 * * [simplify]: Extracting #7: cost 0 inf + 75903 168.825 * [simplify]: Simplified to (* (/ (pow n (/ (- 1 k) 2)) (sqrt k)) (pow PI (/ (- 1 k) 2))) 168.825 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow 2 (/ (- 1 k) 2)) (* (/ (pow n (/ (- 1 k) 2)) (sqrt k)) (pow PI (/ (- 1 k) 2))))) 168.825 * * * * [progress]: [ 257 / 463 ] simplifiying candidate # 168.825 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (/ 1 (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 168.826 * * [simplify]: iters left: 6 (13 enodes) 168.830 * * [simplify]: iters left: 5 (53 enodes) 168.840 * * [simplify]: iters left: 4 (80 enodes) 168.868 * * [simplify]: iters left: 3 (114 enodes) 168.895 * * [simplify]: iters left: 2 (190 enodes) 168.948 * * [simplify]: iters left: 1 (351 enodes) 169.099 * * [simplify]: Extracting #0: cost 1 inf + 0 169.099 * * [simplify]: Extracting #1: cost 6 inf + 0 169.099 * * [simplify]: Extracting #2: cost 9 inf + 1 169.099 * * [simplify]: Extracting #3: cost 32 inf + 1 169.100 * * [simplify]: Extracting #4: cost 100 inf + 2 169.100 * * [simplify]: Extracting #5: cost 138 inf + 92 169.101 * * [simplify]: Extracting #6: cost 128 inf + 2298 169.104 * * [simplify]: Extracting #7: cost 62 inf + 15040 169.111 * * [simplify]: Extracting #8: cost 17 inf + 40889 169.124 * * [simplify]: Extracting #9: cost 0 inf + 56490 169.140 * * [simplify]: Extracting #10: cost 0 inf + 56373 169.156 * [simplify]: Simplified to (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) 169.156 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 169.157 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 169.157 * * [simplify]: iters left: 6 (14 enodes) 169.165 * * [simplify]: iters left: 5 (58 enodes) 169.184 * * [simplify]: iters left: 4 (97 enodes) 169.212 * * [simplify]: iters left: 3 (165 enodes) 169.254 * * [simplify]: iters left: 2 (334 enodes) 169.377 * * [simplify]: Extracting #0: cost 1 inf + 0 169.377 * * [simplify]: Extracting #1: cost 61 inf + 0 169.377 * * [simplify]: Extracting #2: cost 173 inf + 0 169.378 * * [simplify]: Extracting #3: cost 237 inf + 45 169.380 * * [simplify]: Extracting #4: cost 226 inf + 9063 169.384 * * [simplify]: Extracting #5: cost 155 inf + 40750 169.396 * * [simplify]: Extracting #6: cost 102 inf + 72390 169.415 * * [simplify]: Extracting #7: cost 19 inf + 143233 169.436 * * [simplify]: Extracting #8: cost 0 inf + 161480 169.471 * * [simplify]: Extracting #9: cost 0 inf + 161349 169.507 * [simplify]: Simplified to (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ (- 1 k) 2)) (sqrt k))) 169.508 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ (- 1 k) 2)) (sqrt k))))) 169.508 * * * * [progress]: [ 258 / 463 ] simplifiying candidate # 169.508 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (/ 1 (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 169.508 * * [simplify]: iters left: 6 (12 enodes) 169.516 * * [simplify]: iters left: 5 (48 enodes) 169.532 * * [simplify]: iters left: 4 (74 enodes) 169.557 * * [simplify]: iters left: 3 (113 enodes) 169.590 * * [simplify]: iters left: 2 (189 enodes) 169.636 * * [simplify]: iters left: 1 (341 enodes) 169.746 * * [simplify]: Extracting #0: cost 1 inf + 0 169.746 * * [simplify]: Extracting #1: cost 6 inf + 0 169.746 * * [simplify]: Extracting #2: cost 27 inf + 1 169.746 * * [simplify]: Extracting #3: cost 96 inf + 2 169.747 * * [simplify]: Extracting #4: cost 126 inf + 51 169.748 * * [simplify]: Extracting #5: cost 114 inf + 1387 169.753 * * [simplify]: Extracting #6: cost 51 inf + 15343 169.764 * * [simplify]: Extracting #7: cost 9 inf + 39569 169.775 * * [simplify]: Extracting #8: cost 0 inf + 46869 169.781 * [simplify]: Simplified to (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) 169.781 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 169.782 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 169.782 * * [simplify]: iters left: 6 (14 enodes) 169.786 * * [simplify]: iters left: 5 (58 enodes) 169.796 * * [simplify]: iters left: 4 (98 enodes) 169.821 * * [simplify]: iters left: 3 (166 enodes) 169.863 * * [simplify]: iters left: 2 (335 enodes) 170.014 * * [simplify]: Extracting #0: cost 1 inf + 0 170.014 * * [simplify]: Extracting #1: cost 66 inf + 0 170.015 * * [simplify]: Extracting #2: cost 183 inf + 0 170.016 * * [simplify]: Extracting #3: cost 250 inf + 45 170.018 * * [simplify]: Extracting #4: cost 243 inf + 6074 170.023 * * [simplify]: Extracting #5: cost 146 inf + 49131 170.034 * * [simplify]: Extracting #6: cost 81 inf + 89679 170.051 * * [simplify]: Extracting #7: cost 9 inf + 153685 170.073 * * [simplify]: Extracting #8: cost 0 inf + 161635 170.096 * [simplify]: Simplified to (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ (- 1 k) 2)) (sqrt k))) 170.096 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow 1 (/ (- 1 k) 2)) (/ 1 (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ (- 1 k) 2)) (sqrt k))))) 170.096 * * * * [progress]: [ 259 / 463 ] simplifiying candidate # 170.096 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (/ 1 1)) 170.096 * * [simplify]: iters left: 6 (8 enodes) 170.099 * * [simplify]: iters left: 5 (26 enodes) 170.103 * * [simplify]: iters left: 4 (35 enodes) 170.108 * * [simplify]: Extracting #0: cost 1 inf + 0 170.108 * * [simplify]: Extracting #1: cost 0 inf + 1 170.108 * [simplify]: Simplified to 1 170.108 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 170.108 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 170.108 * * [simplify]: iters left: 6 (13 enodes) 170.114 * * [simplify]: iters left: 5 (55 enodes) 170.132 * * [simplify]: iters left: 4 (98 enodes) 170.165 * * [simplify]: iters left: 3 (187 enodes) 170.230 * * [simplify]: Extracting #0: cost 1 inf + 0 170.230 * * [simplify]: Extracting #1: cost 38 inf + 0 170.231 * * [simplify]: Extracting #2: cost 129 inf + 0 170.232 * * [simplify]: Extracting #3: cost 161 inf + 44 170.233 * * [simplify]: Extracting #4: cost 144 inf + 1752 170.239 * * [simplify]: Extracting #5: cost 82 inf + 24648 170.254 * * [simplify]: Extracting #6: cost 10 inf + 71854 170.272 * * [simplify]: Extracting #7: cost 0 inf + 80166 170.281 * [simplify]: Simplified to (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 2)) (sqrt k))) 170.281 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 2)) (sqrt k))))) 170.281 * * * * [progress]: [ 260 / 463 ] simplifiying candidate # 170.282 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (/ 1 (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 170.282 * * [simplify]: iters left: 6 (12 enodes) 170.286 * * [simplify]: iters left: 5 (51 enodes) 170.298 * * [simplify]: iters left: 4 (81 enodes) 170.317 * * [simplify]: iters left: 3 (136 enodes) 170.354 * * [simplify]: iters left: 2 (275 enodes) 170.432 * * [simplify]: Extracting #0: cost 1 inf + 0 170.432 * * [simplify]: Extracting #1: cost 21 inf + 0 170.432 * * [simplify]: Extracting #2: cost 83 inf + 2 170.432 * * [simplify]: Extracting #3: cost 130 inf + 9 170.433 * * [simplify]: Extracting #4: cost 120 inf + 1260 170.436 * * [simplify]: Extracting #5: cost 42 inf + 17015 170.442 * * [simplify]: Extracting #6: cost 1 inf + 37107 170.449 * * [simplify]: Extracting #7: cost 0 inf + 37269 170.455 * [simplify]: Simplified to (pow (* 2 PI) (* 1/4 (- 1 k))) 170.455 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* 2 PI) (* 1/4 (- 1 k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 170.456 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 170.456 * * [simplify]: iters left: 6 (14 enodes) 170.460 * * [simplify]: iters left: 5 (61 enodes) 170.480 * * [simplify]: iters left: 4 (108 enodes) 170.524 * * [simplify]: iters left: 3 (215 enodes) 170.618 * * [simplify]: Extracting #0: cost 1 inf + 0 170.618 * * [simplify]: Extracting #1: cost 38 inf + 0 170.619 * * [simplify]: Extracting #2: cost 131 inf + 0 170.619 * * [simplify]: Extracting #3: cost 171 inf + 44 170.620 * * [simplify]: Extracting #4: cost 158 inf + 1557 170.623 * * [simplify]: Extracting #5: cost 92 inf + 24399 170.633 * * [simplify]: Extracting #6: cost 13 inf + 72558 170.642 * * [simplify]: Extracting #7: cost 0 inf + 80426 170.658 * * [simplify]: Extracting #8: cost 0 inf + 80340 170.676 * * [simplify]: Extracting #9: cost 0 inf + 79944 170.694 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 4)) (/ (sqrt k) (pow n (/ (- 1 k) 2)))) 170.694 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (* 2 PI) (* 1/4 (- 1 k))) (/ (pow (* 2 PI) (/ (- 1 k) 4)) (/ (sqrt k) (pow n (/ (- 1 k) 2)))))) 170.694 * * * * [progress]: [ 261 / 463 ] simplifiying candidate # 170.695 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) 1) 170.695 * * [simplify]: iters left: 6 (7 enodes) 170.699 * * [simplify]: iters left: 5 (25 enodes) 170.707 * * [simplify]: iters left: 4 (34 enodes) 170.717 * * [simplify]: Extracting #0: cost 1 inf + 0 170.717 * * [simplify]: Extracting #1: cost 0 inf + 1 170.717 * [simplify]: Simplified to 1 170.717 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 170.718 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 170.718 * * [simplify]: iters left: 6 (13 enodes) 170.725 * * [simplify]: iters left: 5 (55 enodes) 170.744 * * [simplify]: iters left: 4 (98 enodes) 170.775 * * [simplify]: iters left: 3 (187 enodes) 170.836 * * [simplify]: Extracting #0: cost 1 inf + 0 170.836 * * [simplify]: Extracting #1: cost 38 inf + 0 170.837 * * [simplify]: Extracting #2: cost 129 inf + 0 170.837 * * [simplify]: Extracting #3: cost 161 inf + 44 170.839 * * [simplify]: Extracting #4: cost 144 inf + 1752 170.844 * * [simplify]: Extracting #5: cost 82 inf + 24648 170.858 * * [simplify]: Extracting #6: cost 10 inf + 71854 170.876 * * [simplify]: Extracting #7: cost 0 inf + 80166 170.896 * [simplify]: Simplified to (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 2)) (sqrt k))) 170.897 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 2)) (sqrt k))))) 170.897 * * * * [progress]: [ 262 / 463 ] simplifiying candidate # 170.897 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (sqrt k)) 170.897 * * [simplify]: iters left: 6 (8 enodes) 170.902 * * [simplify]: iters left: 5 (30 enodes) 170.911 * * [simplify]: iters left: 4 (39 enodes) 170.922 * * [simplify]: Extracting #0: cost 1 inf + 0 170.922 * * [simplify]: Extracting #1: cost 4 inf + 0 170.923 * * [simplify]: Extracting #2: cost 5 inf + 1 170.923 * * [simplify]: Extracting #3: cost 2 inf + 125 170.923 * * [simplify]: Extracting #4: cost 0 inf + 248 170.923 * [simplify]: Simplified to (/ 1 (sqrt k)) 170.923 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (pow n (/ (- 1 k) 2)) (/ 1 (pow (* 2 PI) (/ (- 1 k) 2)))))) 170.923 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ 1 (pow (* 2 PI) (/ (- 1 k) 2)))) 170.923 * * [simplify]: iters left: 6 (12 enodes) 170.930 * * [simplify]: iters left: 5 (52 enodes) 170.947 * * [simplify]: iters left: 4 (87 enodes) 170.970 * * [simplify]: iters left: 3 (180 enodes) 171.051 * * [simplify]: Extracting #0: cost 1 inf + 0 171.051 * * [simplify]: Extracting #1: cost 41 inf + 0 171.052 * * [simplify]: Extracting #2: cost 123 inf + 1 171.053 * * [simplify]: Extracting #3: cost 158 inf + 3 171.054 * * [simplify]: Extracting #4: cost 158 inf + 53 171.055 * * [simplify]: Extracting #5: cost 145 inf + 1640 171.061 * * [simplify]: Extracting #6: cost 81 inf + 24678 171.070 * * [simplify]: Extracting #7: cost 11 inf + 67989 171.079 * * [simplify]: Extracting #8: cost 0 inf + 75786 171.088 * [simplify]: Simplified to (* (pow (* PI 2) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) 171.088 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* PI 2) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))))) 171.088 * * * * [progress]: [ 263 / 463 ] simplifiying candidate # 171.088 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ 1 2)))) 171.088 * * [simplify]: iters left: 6 (13 enodes) 171.095 * * [simplify]: iters left: 5 (50 enodes) 171.113 * * [simplify]: iters left: 4 (84 enodes) 171.142 * * [simplify]: iters left: 3 (137 enodes) 171.180 * * [simplify]: iters left: 2 (274 enodes) 171.314 * * [simplify]: Extracting #0: cost 1 inf + 0 171.314 * * [simplify]: Extracting #1: cost 39 inf + 0 171.314 * * [simplify]: Extracting #2: cost 110 inf + 1 171.315 * * [simplify]: Extracting #3: cost 107 inf + 132 171.315 * * [simplify]: Extracting #4: cost 100 inf + 301 171.319 * * [simplify]: Extracting #5: cost 58 inf + 17228 171.324 * * [simplify]: Extracting #6: cost 5 inf + 46319 171.329 * * [simplify]: Extracting #7: cost 0 inf + 49696 171.334 * [simplify]: Simplified to (/ (sqrt (* 2 PI)) (sqrt k)) 171.334 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* 2 PI)) (sqrt k)) (/ (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ k 2))))) 171.334 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ k 2))) 171.335 * * [simplify]: iters left: 6 (12 enodes) 171.338 * * [simplify]: iters left: 5 (50 enodes) 171.347 * * [simplify]: iters left: 4 (88 enodes) 171.363 * * [simplify]: iters left: 3 (176 enodes) 171.413 * * [simplify]: iters left: 2 (489 enodes) 171.790 * * [simplify]: Extracting #0: cost 1 inf + 0 171.791 * * [simplify]: Extracting #1: cost 153 inf + 0 171.794 * * [simplify]: Extracting #2: cost 514 inf + 0 171.799 * * [simplify]: Extracting #3: cost 630 inf + 3 171.806 * * [simplify]: Extracting #4: cost 601 inf + 5719 171.822 * * [simplify]: Extracting #5: cost 415 inf + 117580 171.870 * * [simplify]: Extracting #6: cost 58 inf + 442947 171.967 * * [simplify]: Extracting #7: cost 0 inf + 487496 172.086 * * [simplify]: Extracting #8: cost 0 inf + 480392 172.167 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (pow (* PI 2) (/ k 2))) 172.167 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* 2 PI)) (sqrt k)) (/ (pow n (/ (- 1 k) 2)) (pow (* PI 2) (/ k 2))))) 172.167 * * * * [progress]: [ 264 / 463 ] simplifiying candidate # 172.167 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (* (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 172.167 * * [simplify]: iters left: 6 (17 enodes) 172.173 * * [simplify]: iters left: 5 (71 enodes) 172.193 * * [simplify]: iters left: 4 (114 enodes) 172.229 * * [simplify]: iters left: 3 (172 enodes) 172.290 * * [simplify]: iters left: 2 (298 enodes) 172.383 * * [simplify]: Extracting #0: cost 1 inf + 0 172.383 * * [simplify]: Extracting #1: cost 11 inf + 0 172.383 * * [simplify]: Extracting #2: cost 22 inf + 0 172.383 * * [simplify]: Extracting #3: cost 39 inf + 0 172.383 * * [simplify]: Extracting #4: cost 98 inf + 2 172.385 * * [simplify]: Extracting #5: cost 142 inf + 1629 172.389 * * [simplify]: Extracting #6: cost 89 inf + 15427 172.400 * * [simplify]: Extracting #7: cost 16 inf + 50968 172.416 * * [simplify]: Extracting #8: cost 0 inf + 61564 172.430 * [simplify]: Simplified to (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2)))))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2))))))) 172.431 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2)))))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2))))))) (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))))) 172.431 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 172.431 * * [simplify]: iters left: 6 (15 enodes) 172.439 * * [simplify]: iters left: 5 (59 enodes) 172.456 * * [simplify]: iters left: 4 (91 enodes) 172.471 * * [simplify]: iters left: 3 (137 enodes) 172.506 * * [simplify]: iters left: 2 (237 enodes) 172.573 * * [simplify]: iters left: 1 (468 enodes) 172.747 * * [simplify]: Extracting #0: cost 1 inf + 0 172.747 * * [simplify]: Extracting #1: cost 4 inf + 0 172.747 * * [simplify]: Extracting #2: cost 8 inf + 0 172.747 * * [simplify]: Extracting #3: cost 37 inf + 0 172.748 * * [simplify]: Extracting #4: cost 129 inf + 2 172.749 * * [simplify]: Extracting #5: cost 211 inf + 339 172.751 * * [simplify]: Extracting #6: cost 172 inf + 10391 172.755 * * [simplify]: Extracting #7: cost 103 inf + 34644 172.779 * * [simplify]: Extracting #8: cost 15 inf + 101877 172.796 * * [simplify]: Extracting #9: cost 0 inf + 109833 172.812 * * [simplify]: Extracting #10: cost 0 inf + 108780 172.836 * * [simplify]: Extracting #11: cost 0 inf + 108649 172.852 * [simplify]: Simplified to (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 172.852 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (* (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))))) 172.852 * * * * [progress]: [ 265 / 463 ] simplifiying candidate # 172.853 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 172.853 * * [simplify]: iters left: 6 (16 enodes) 172.860 * * [simplify]: iters left: 5 (64 enodes) 172.881 * * [simplify]: iters left: 4 (100 enodes) 172.898 * * [simplify]: iters left: 3 (149 enodes) 172.927 * * [simplify]: iters left: 2 (249 enodes) 172.995 * * [simplify]: iters left: 1 (486 enodes) 173.221 * * [simplify]: Extracting #0: cost 1 inf + 0 173.221 * * [simplify]: Extracting #1: cost 7 inf + 0 173.221 * * [simplify]: Extracting #2: cost 14 inf + 0 173.221 * * [simplify]: Extracting #3: cost 44 inf + 0 173.222 * * [simplify]: Extracting #4: cost 140 inf + 2 173.224 * * [simplify]: Extracting #5: cost 224 inf + 511 173.229 * * [simplify]: Extracting #6: cost 173 inf + 15427 173.244 * * [simplify]: Extracting #7: cost 67 inf + 69903 173.258 * * [simplify]: Extracting #8: cost 1 inf + 120700 173.272 * * [simplify]: Extracting #9: cost 0 inf + 121509 173.297 * [simplify]: Simplified to (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 173.297 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (cbrt (pow n (/ (- 1 k) 2))) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))))) 173.297 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 173.297 * * [simplify]: iters left: 6 (15 enodes) 173.305 * * [simplify]: iters left: 5 (59 enodes) 173.324 * * [simplify]: iters left: 4 (91 enodes) 173.353 * * [simplify]: iters left: 3 (137 enodes) 173.384 * * [simplify]: iters left: 2 (237 enodes) 173.462 * * [simplify]: iters left: 1 (468 enodes) 173.675 * * [simplify]: Extracting #0: cost 1 inf + 0 173.675 * * [simplify]: Extracting #1: cost 4 inf + 0 173.675 * * [simplify]: Extracting #2: cost 8 inf + 0 173.675 * * [simplify]: Extracting #3: cost 37 inf + 0 173.680 * * [simplify]: Extracting #4: cost 129 inf + 2 173.681 * * [simplify]: Extracting #5: cost 211 inf + 339 173.683 * * [simplify]: Extracting #6: cost 172 inf + 10271 173.688 * * [simplify]: Extracting #7: cost 103 inf + 34484 173.700 * * [simplify]: Extracting #8: cost 15 inf + 101717 173.720 * * [simplify]: Extracting #9: cost 0 inf + 109673 173.752 * * [simplify]: Extracting #10: cost 0 inf + 108620 173.785 * * [simplify]: Extracting #11: cost 0 inf + 108489 173.810 * [simplify]: Simplified to (/ (cbrt (pow n (/ (- 1 k) 2))) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 173.810 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (cbrt (pow n (/ (- 1 k) 2))) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))))) 173.810 * * * * [progress]: [ 266 / 463 ] simplifiying candidate # 173.811 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (/ (- 1 k) 2)))) 173.811 * * [simplify]: iters left: 6 (15 enodes) 173.815 * * [simplify]: iters left: 5 (64 enodes) 173.828 * * [simplify]: iters left: 4 (125 enodes) 173.872 * * [simplify]: iters left: 3 (288 enodes) 174.014 * * [simplify]: Extracting #0: cost 1 inf + 0 174.014 * * [simplify]: Extracting #1: cost 54 inf + 0 174.015 * * [simplify]: Extracting #2: cost 170 inf + 0 174.015 * * [simplify]: Extracting #3: cost 210 inf + 2 174.018 * * [simplify]: Extracting #4: cost 167 inf + 21194 174.033 * * [simplify]: Extracting #5: cost 34 inf + 104365 174.050 * * [simplify]: Extracting #6: cost 0 inf + 129187 174.067 * * [simplify]: Extracting #7: cost 0 inf + 129029 174.091 * [simplify]: Simplified to (* (* (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (sqrt k)))) (pow 2 (/ (- 1 k) 2))) 174.091 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (* (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (sqrt k)))) (pow 2 (/ (- 1 k) 2))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 174.092 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 174.092 * * [simplify]: iters left: 6 (14 enodes) 174.099 * * [simplify]: iters left: 5 (57 enodes) 174.112 * * [simplify]: iters left: 4 (96 enodes) 174.130 * * [simplify]: iters left: 3 (159 enodes) 174.170 * * [simplify]: iters left: 2 (319 enodes) 174.316 * * [simplify]: Extracting #0: cost 1 inf + 0 174.316 * * [simplify]: Extracting #1: cost 49 inf + 0 174.317 * * [simplify]: Extracting #2: cost 151 inf + 0 174.318 * * [simplify]: Extracting #3: cost 210 inf + 3 174.321 * * [simplify]: Extracting #4: cost 204 inf + 7348 174.335 * * [simplify]: Extracting #5: cost 72 inf + 84014 174.364 * * [simplify]: Extracting #6: cost 3 inf + 141572 174.398 * * [simplify]: Extracting #7: cost 0 inf + 144004 174.429 * * [simplify]: Extracting #8: cost 0 inf + 143611 174.460 * [simplify]: Simplified to (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 174.460 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (* (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (sqrt k)))) (pow 2 (/ (- 1 k) 2))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 174.460 * * * * [progress]: [ 267 / 463 ] simplifiying candidate # 174.461 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 174.461 * * [simplify]: iters left: 6 (19 enodes) 174.471 * * [simplify]: iters left: 5 (81 enodes) 174.498 * * [simplify]: iters left: 4 (157 enodes) 174.540 * * [simplify]: iters left: 3 (308 enodes) 174.656 * * [simplify]: Extracting #0: cost 1 inf + 0 174.656 * * [simplify]: Extracting #1: cost 40 inf + 0 174.656 * * [simplify]: Extracting #2: cost 89 inf + 0 174.657 * * [simplify]: Extracting #3: cost 108 inf + 0 174.657 * * [simplify]: Extracting #4: cost 144 inf + 43 174.658 * * [simplify]: Extracting #5: cost 151 inf + 695 174.659 * * [simplify]: Extracting #6: cost 132 inf + 3390 174.662 * * [simplify]: Extracting #7: cost 76 inf + 29663 174.676 * * [simplify]: Extracting #8: cost 9 inf + 74008 174.692 * * [simplify]: Extracting #9: cost 0 inf + 80833 174.703 * [simplify]: Simplified to (* (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (sqrt k)))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (sqrt k))))) 174.703 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (sqrt k)))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (sqrt k))))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 174.704 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 174.704 * * [simplify]: iters left: 6 (16 enodes) 174.708 * * [simplify]: iters left: 5 (64 enodes) 174.724 * * [simplify]: iters left: 4 (99 enodes) 174.759 * * [simplify]: iters left: 3 (145 enodes) 174.807 * * [simplify]: iters left: 2 (239 enodes) 174.882 * * [simplify]: iters left: 1 (465 enodes) 175.050 * * [simplify]: Extracting #0: cost 1 inf + 0 175.050 * * [simplify]: Extracting #1: cost 8 inf + 0 175.050 * * [simplify]: Extracting #2: cost 17 inf + 0 175.050 * * [simplify]: Extracting #3: cost 63 inf + 0 175.051 * * [simplify]: Extracting #4: cost 165 inf + 165 175.051 * * [simplify]: Extracting #5: cost 198 inf + 961 175.059 * * [simplify]: Extracting #6: cost 137 inf + 14889 175.070 * * [simplify]: Extracting #7: cost 61 inf + 50889 175.083 * * [simplify]: Extracting #8: cost 4 inf + 96551 175.097 * * [simplify]: Extracting #9: cost 0 inf + 99178 175.124 * * [simplify]: Extracting #10: cost 0 inf + 99047 175.151 * [simplify]: Simplified to (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) (cbrt (sqrt k))) 175.151 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (sqrt k)))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (sqrt k))))) (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) (cbrt (sqrt k))))) 175.151 * * * * [progress]: [ 268 / 463 ] simplifiying candidate # 175.152 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 175.152 * * [simplify]: iters left: 6 (18 enodes) 175.161 * * [simplify]: iters left: 5 (74 enodes) 175.174 * * [simplify]: iters left: 4 (125 enodes) 175.199 * * [simplify]: iters left: 3 (228 enodes) 175.276 * * [simplify]: iters left: 2 (397 enodes) 175.386 * * [simplify]: Extracting #0: cost 1 inf + 0 175.387 * * [simplify]: Extracting #1: cost 28 inf + 0 175.387 * * [simplify]: Extracting #2: cost 55 inf + 0 175.387 * * [simplify]: Extracting #3: cost 84 inf + 0 175.387 * * [simplify]: Extracting #4: cost 151 inf + 44 175.388 * * [simplify]: Extracting #5: cost 150 inf + 3492 175.392 * * [simplify]: Extracting #6: cost 74 inf + 29219 175.400 * * [simplify]: Extracting #7: cost 14 inf + 61911 175.419 * * [simplify]: Extracting #8: cost 0 inf + 71219 175.439 * * [simplify]: Extracting #9: cost 0 inf + 70826 175.458 * [simplify]: Simplified to (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (* (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (sqrt k))))) 175.458 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (* (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (sqrt k))))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 175.458 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 175.458 * * [simplify]: iters left: 6 (16 enodes) 175.463 * * [simplify]: iters left: 5 (64 enodes) 175.474 * * [simplify]: iters left: 4 (100 enodes) 175.501 * * [simplify]: iters left: 3 (146 enodes) 175.553 * * [simplify]: iters left: 2 (240 enodes) 175.646 * * [simplify]: iters left: 1 (470 enodes) 175.789 * * [simplify]: Extracting #0: cost 1 inf + 0 175.789 * * [simplify]: Extracting #1: cost 8 inf + 0 175.789 * * [simplify]: Extracting #2: cost 18 inf + 0 175.789 * * [simplify]: Extracting #3: cost 66 inf + 0 175.790 * * [simplify]: Extracting #4: cost 186 inf + 44 175.791 * * [simplify]: Extracting #5: cost 206 inf + 834 175.794 * * [simplify]: Extracting #6: cost 134 inf + 20227 175.804 * * [simplify]: Extracting #7: cost 33 inf + 84176 175.819 * * [simplify]: Extracting #8: cost 0 inf + 110859 175.835 * * [simplify]: Extracting #9: cost 0 inf + 106742 175.852 * * [simplify]: Extracting #10: cost 0 inf + 104197 175.871 * * [simplify]: Extracting #11: cost 0 inf + 104106 175.897 * [simplify]: Simplified to (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))))) 175.897 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (* (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (sqrt k))))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))))))) 175.897 * * * * [progress]: [ 269 / 463 ] simplifiying candidate # 175.898 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 175.898 * * [simplify]: iters left: 6 (14 enodes) 175.906 * * [simplify]: iters left: 5 (57 enodes) 175.926 * * [simplify]: iters left: 4 (106 enodes) 175.961 * * [simplify]: iters left: 3 (172 enodes) 176.011 * * [simplify]: iters left: 2 (276 enodes) 176.081 * * [simplify]: iters left: 1 (467 enodes) 176.252 * * [simplify]: Extracting #0: cost 1 inf + 0 176.252 * * [simplify]: Extracting #1: cost 16 inf + 0 176.252 * * [simplify]: Extracting #2: cost 30 inf + 1 176.252 * * [simplify]: Extracting #3: cost 57 inf + 1 176.253 * * [simplify]: Extracting #4: cost 120 inf + 86 176.253 * * [simplify]: Extracting #5: cost 159 inf + 946 176.255 * * [simplify]: Extracting #6: cost 101 inf + 10456 176.263 * * [simplify]: Extracting #7: cost 40 inf + 32325 176.275 * * [simplify]: Extracting #8: cost 3 inf + 60686 176.294 * * [simplify]: Extracting #9: cost 0 inf + 63495 176.313 * * [simplify]: Extracting #10: cost 0 inf + 63116 176.322 * [simplify]: Simplified to (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 176.322 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 176.322 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 176.322 * * [simplify]: iters left: 6 (15 enodes) 176.327 * * [simplify]: iters left: 5 (61 enodes) 176.338 * * [simplify]: iters left: 4 (100 enodes) 176.363 * * [simplify]: iters left: 3 (167 enodes) 176.430 * * [simplify]: iters left: 2 (333 enodes) 176.544 * * [simplify]: Extracting #0: cost 1 inf + 0 176.545 * * [simplify]: Extracting #1: cost 52 inf + 0 176.545 * * [simplify]: Extracting #2: cost 155 inf + 0 176.547 * * [simplify]: Extracting #3: cost 214 inf + 2 176.549 * * [simplify]: Extracting #4: cost 222 inf + 3880 176.556 * * [simplify]: Extracting #5: cost 148 inf + 31103 176.572 * * [simplify]: Extracting #6: cost 22 inf + 130262 176.589 * * [simplify]: Extracting #7: cost 1 inf + 148647 176.610 * * [simplify]: Extracting #8: cost 0 inf + 149671 176.628 * [simplify]: Simplified to (/ (* (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (pow n (/ (- 1 k) 2)))) (cbrt (sqrt k))) 176.628 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (* (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (pow n (/ (- 1 k) 2)))) (cbrt (sqrt k))))) 176.628 * * * * [progress]: [ 270 / 463 ] simplifiying candidate # 176.628 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 176.628 * * [simplify]: iters left: 6 (18 enodes) 176.633 * * [simplify]: iters left: 5 (77 enodes) 176.655 * * [simplify]: iters left: 4 (139 enodes) 176.689 * * [simplify]: iters left: 3 (315 enodes) 176.856 * * [simplify]: Extracting #0: cost 1 inf + 0 176.856 * * [simplify]: Extracting #1: cost 54 inf + 0 176.857 * * [simplify]: Extracting #2: cost 174 inf + 0 176.859 * * [simplify]: Extracting #3: cost 225 inf + 1 176.862 * * [simplify]: Extracting #4: cost 212 inf + 7879 176.879 * * [simplify]: Extracting #5: cost 102 inf + 63103 176.915 * * [simplify]: Extracting #6: cost 2 inf + 141788 176.955 * * [simplify]: Extracting #7: cost 0 inf + 142666 176.996 * * [simplify]: Extracting #8: cost 0 inf + 142586 177.035 * [simplify]: Simplified to (* (* (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (sqrt k)))) 177.035 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (* (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (sqrt k)))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 177.035 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 177.036 * * [simplify]: iters left: 6 (16 enodes) 177.045 * * [simplify]: iters left: 5 (67 enodes) 177.068 * * [simplify]: iters left: 4 (110 enodes) 177.107 * * [simplify]: iters left: 3 (191 enodes) 177.181 * * [simplify]: iters left: 2 (385 enodes) 177.282 * * [simplify]: Extracting #0: cost 1 inf + 0 177.283 * * [simplify]: Extracting #1: cost 47 inf + 0 177.283 * * [simplify]: Extracting #2: cost 153 inf + 0 177.284 * * [simplify]: Extracting #3: cost 228 inf + 2 177.285 * * [simplify]: Extracting #4: cost 218 inf + 7772 177.294 * * [simplify]: Extracting #5: cost 119 inf + 55206 177.324 * * [simplify]: Extracting #6: cost 20 inf + 134366 177.362 * * [simplify]: Extracting #7: cost 0 inf + 152408 177.387 * * [simplify]: Extracting #8: cost 0 inf + 151753 177.407 * [simplify]: Simplified to (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 4)))) 177.407 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (* (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (sqrt k)))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 4)))))) 177.407 * * * * [progress]: [ 271 / 463 ] simplifiying candidate # 177.408 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow 2 (/ (- 1 k) 2)))) 177.408 * * [simplify]: iters left: 6 (15 enodes) 177.417 * * [simplify]: iters left: 5 (63 enodes) 177.437 * * [simplify]: iters left: 4 (110 enodes) 177.474 * * [simplify]: iters left: 3 (195 enodes) 177.520 * * [simplify]: iters left: 2 (432 enodes) 177.723 * * [simplify]: Extracting #0: cost 1 inf + 0 177.723 * * [simplify]: Extracting #1: cost 87 inf + 0 177.724 * * [simplify]: Extracting #2: cost 303 inf + 0 177.726 * * [simplify]: Extracting #3: cost 379 inf + 3 177.729 * * [simplify]: Extracting #4: cost 355 inf + 15718 177.749 * * [simplify]: Extracting #5: cost 152 inf + 148057 177.813 * * [simplify]: Extracting #6: cost 4 inf + 263959 177.847 * * [simplify]: Extracting #7: cost 0 inf + 260895 177.912 * * [simplify]: Extracting #8: cost 0 inf + 259939 177.983 * [simplify]: Simplified to (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (fabs (cbrt k)) (pow 2 (/ (- 1 k) 2)))) 177.983 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (fabs (cbrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))))) 177.984 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))) 177.984 * * [simplify]: iters left: 6 (14 enodes) 177.992 * * [simplify]: iters left: 5 (57 enodes) 178.012 * * [simplify]: iters left: 4 (96 enodes) 178.042 * * [simplify]: iters left: 3 (159 enodes) 178.107 * * [simplify]: iters left: 2 (319 enodes) 178.217 * * [simplify]: Extracting #0: cost 1 inf + 0 178.218 * * [simplify]: Extracting #1: cost 49 inf + 0 178.218 * * [simplify]: Extracting #2: cost 151 inf + 0 178.219 * * [simplify]: Extracting #3: cost 210 inf + 3 178.220 * * [simplify]: Extracting #4: cost 204 inf + 7388 178.230 * * [simplify]: Extracting #5: cost 72 inf + 84094 178.244 * * [simplify]: Extracting #6: cost 3 inf + 141652 178.260 * * [simplify]: Extracting #7: cost 0 inf + 144084 178.284 * * [simplify]: Extracting #8: cost 0 inf + 143691 178.302 * [simplify]: Simplified to (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))) 178.302 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (fabs (cbrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))))) 178.302 * * * * [progress]: [ 272 / 463 ] simplifiying candidate # 178.303 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 178.303 * * [simplify]: iters left: 6 (19 enodes) 178.309 * * [simplify]: iters left: 5 (78 enodes) 178.330 * * [simplify]: iters left: 4 (125 enodes) 178.371 * * [simplify]: iters left: 3 (211 enodes) 178.428 * * [simplify]: iters left: 2 (375 enodes) 178.556 * * [simplify]: Extracting #0: cost 1 inf + 0 178.557 * * [simplify]: Extracting #1: cost 28 inf + 0 178.557 * * [simplify]: Extracting #2: cost 52 inf + 0 178.557 * * [simplify]: Extracting #3: cost 77 inf + 0 178.558 * * [simplify]: Extracting #4: cost 139 inf + 84 178.559 * * [simplify]: Extracting #5: cost 152 inf + 2865 178.567 * * [simplify]: Extracting #6: cost 73 inf + 33623 178.584 * * [simplify]: Extracting #7: cost 7 inf + 70692 178.605 * * [simplify]: Extracting #8: cost 0 inf + 73255 178.624 * * [simplify]: Extracting #9: cost 0 inf + 73016 178.644 * [simplify]: Simplified to (/ (* (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2))))) (fabs (cbrt k))) 178.644 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2))))) (fabs (cbrt k))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 178.644 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 178.645 * * [simplify]: iters left: 6 (16 enodes) 178.653 * * [simplify]: iters left: 5 (64 enodes) 178.675 * * [simplify]: iters left: 4 (99 enodes) 178.709 * * [simplify]: iters left: 3 (145 enodes) 178.734 * * [simplify]: iters left: 2 (239 enodes) 178.827 * * [simplify]: iters left: 1 (465 enodes) 178.985 * * [simplify]: Extracting #0: cost 1 inf + 0 178.985 * * [simplify]: Extracting #1: cost 8 inf + 0 178.985 * * [simplify]: Extracting #2: cost 17 inf + 0 178.985 * * [simplify]: Extracting #3: cost 63 inf + 0 178.986 * * [simplify]: Extracting #4: cost 165 inf + 205 178.986 * * [simplify]: Extracting #5: cost 198 inf + 1041 178.989 * * [simplify]: Extracting #6: cost 137 inf + 14969 178.995 * * [simplify]: Extracting #7: cost 61 inf + 50969 179.007 * * [simplify]: Extracting #8: cost 4 inf + 96631 179.024 * * [simplify]: Extracting #9: cost 0 inf + 99258 179.050 * * [simplify]: Extracting #10: cost 0 inf + 99127 179.064 * [simplify]: Simplified to (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) (sqrt (cbrt k))) 179.064 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2))))) (fabs (cbrt k))) (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) (sqrt (cbrt k))))) 179.064 * * * * [progress]: [ 273 / 463 ] simplifiying candidate # 179.064 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 179.064 * * [simplify]: iters left: 6 (18 enodes) 179.069 * * [simplify]: iters left: 5 (73 enodes) 179.093 * * [simplify]: iters left: 4 (113 enodes) 179.130 * * [simplify]: iters left: 3 (179 enodes) 179.167 * * [simplify]: iters left: 2 (309 enodes) 179.246 * * [simplify]: Extracting #0: cost 1 inf + 0 179.246 * * [simplify]: Extracting #1: cost 16 inf + 0 179.246 * * [simplify]: Extracting #2: cost 34 inf + 0 179.246 * * [simplify]: Extracting #3: cost 62 inf + 0 179.247 * * [simplify]: Extracting #4: cost 135 inf + 84 179.248 * * [simplify]: Extracting #5: cost 136 inf + 3355 179.249 * * [simplify]: Extracting #6: cost 91 inf + 12832 179.253 * * [simplify]: Extracting #7: cost 50 inf + 28117 179.260 * * [simplify]: Extracting #8: cost 3 inf + 58341 179.267 * * [simplify]: Extracting #9: cost 0 inf + 58185 179.275 * * [simplify]: Extracting #10: cost 0 inf + 58105 179.291 * [simplify]: Simplified to (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (* (/ (cbrt (pow n (/ (- 1 k) 2))) (fabs (cbrt k))) (cbrt (pow n (/ (- 1 k) 2))))) 179.291 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (* (/ (cbrt (pow n (/ (- 1 k) 2))) (fabs (cbrt k))) (cbrt (pow n (/ (- 1 k) 2))))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 179.292 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 179.292 * * [simplify]: iters left: 6 (16 enodes) 179.300 * * [simplify]: iters left: 5 (64 enodes) 179.322 * * [simplify]: iters left: 4 (100 enodes) 179.354 * * [simplify]: iters left: 3 (146 enodes) 179.402 * * [simplify]: iters left: 2 (240 enodes) 179.471 * * [simplify]: iters left: 1 (470 enodes) 179.650 * * [simplify]: Extracting #0: cost 1 inf + 0 179.650 * * [simplify]: Extracting #1: cost 8 inf + 0 179.650 * * [simplify]: Extracting #2: cost 18 inf + 0 179.650 * * [simplify]: Extracting #3: cost 66 inf + 0 179.651 * * [simplify]: Extracting #4: cost 186 inf + 84 179.651 * * [simplify]: Extracting #5: cost 206 inf + 914 179.654 * * [simplify]: Extracting #6: cost 134 inf + 20307 179.665 * * [simplify]: Extracting #7: cost 33 inf + 84256 179.680 * * [simplify]: Extracting #8: cost 0 inf + 110939 179.699 * * [simplify]: Extracting #9: cost 0 inf + 106822 179.715 * * [simplify]: Extracting #10: cost 0 inf + 104277 179.737 * * [simplify]: Extracting #11: cost 0 inf + 104186 179.765 * [simplify]: Simplified to (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))))) 179.765 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (* (/ (cbrt (pow n (/ (- 1 k) 2))) (fabs (cbrt k))) (cbrt (pow n (/ (- 1 k) 2))))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))))))) 179.765 * * * * [progress]: [ 274 / 463 ] simplifiying candidate # 179.766 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (* (cbrt k) (cbrt k))) 1)) 179.766 * * [simplify]: iters left: 6 (14 enodes) 179.770 * * [simplify]: iters left: 5 (55 enodes) 179.779 * * [simplify]: iters left: 4 (91 enodes) 179.801 * * [simplify]: iters left: 3 (134 enodes) 179.844 * * [simplify]: iters left: 2 (204 enodes) 179.896 * * [simplify]: iters left: 1 (367 enodes) 179.991 * * [simplify]: Extracting #0: cost 1 inf + 0 179.992 * * [simplify]: Extracting #1: cost 9 inf + 0 179.992 * * [simplify]: Extracting #2: cost 17 inf + 1 179.992 * * [simplify]: Extracting #3: cost 45 inf + 1 179.992 * * [simplify]: Extracting #4: cost 108 inf + 85 179.993 * * [simplify]: Extracting #5: cost 141 inf + 2397 179.995 * * [simplify]: Extracting #6: cost 90 inf + 14213 180.002 * * [simplify]: Extracting #7: cost 11 inf + 48558 180.012 * * [simplify]: Extracting #8: cost 0 inf + 51047 180.022 * * [simplify]: Extracting #9: cost 0 inf + 50363 180.033 * [simplify]: Simplified to (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (fabs (cbrt k))) 180.033 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (fabs (cbrt k))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 180.033 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 180.033 * * [simplify]: iters left: 6 (15 enodes) 180.037 * * [simplify]: iters left: 5 (61 enodes) 180.051 * * [simplify]: iters left: 4 (100 enodes) 180.068 * * [simplify]: iters left: 3 (167 enodes) 180.132 * * [simplify]: iters left: 2 (333 enodes) 180.246 * * [simplify]: Extracting #0: cost 1 inf + 0 180.246 * * [simplify]: Extracting #1: cost 52 inf + 0 180.246 * * [simplify]: Extracting #2: cost 155 inf + 0 180.247 * * [simplify]: Extracting #3: cost 214 inf + 2 180.248 * * [simplify]: Extracting #4: cost 222 inf + 3920 180.252 * * [simplify]: Extracting #5: cost 148 inf + 31183 180.272 * * [simplify]: Extracting #6: cost 22 inf + 130342 180.306 * * [simplify]: Extracting #7: cost 1 inf + 148727 180.341 * * [simplify]: Extracting #8: cost 0 inf + 149751 180.375 * [simplify]: Simplified to (/ (* (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (pow n (/ (- 1 k) 2)))) (sqrt (cbrt k))) 180.375 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (fabs (cbrt k))) (/ (* (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (pow n (/ (- 1 k) 2)))) (sqrt (cbrt k))))) 180.375 * * * * [progress]: [ 275 / 463 ] simplifiying candidate # 180.375 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 180.376 * * [simplify]: iters left: 6 (18 enodes) 180.381 * * [simplify]: iters left: 5 (76 enodes) 180.395 * * [simplify]: iters left: 4 (127 enodes) 180.427 * * [simplify]: iters left: 3 (232 enodes) 180.507 * * [simplify]: Extracting #0: cost 1 inf + 0 180.507 * * [simplify]: Extracting #1: cost 31 inf + 0 180.508 * * [simplify]: Extracting #2: cost 97 inf + 0 180.508 * * [simplify]: Extracting #3: cost 143 inf + 1 180.510 * * [simplify]: Extracting #4: cost 147 inf + 1967 180.515 * * [simplify]: Extracting #5: cost 72 inf + 25007 180.532 * * [simplify]: Extracting #6: cost 17 inf + 58993 180.550 * * [simplify]: Extracting #7: cost 0 inf + 73147 180.569 * * [simplify]: Extracting #8: cost 0 inf + 73066 180.580 * [simplify]: Simplified to (/ (* (* (cbrt (pow n (/ (- 1 k) 2))) (pow (* 2 PI) (/ (- 1 k) 16))) (pow (* 2 PI) (/ (- 1 k) 16))) (/ (fabs (cbrt k)) (* (* (cbrt (pow n (/ (- 1 k) 2))) (pow (* 2 PI) (/ (- 1 k) 16))) (pow (* 2 PI) (/ (- 1 k) 16))))) 180.580 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (* (cbrt (pow n (/ (- 1 k) 2))) (pow (* 2 PI) (/ (- 1 k) 16))) (pow (* 2 PI) (/ (- 1 k) 16))) (/ (fabs (cbrt k)) (* (* (cbrt (pow n (/ (- 1 k) 2))) (pow (* 2 PI) (/ (- 1 k) 16))) (pow (* 2 PI) (/ (- 1 k) 16))))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 180.581 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 180.581 * * [simplify]: iters left: 6 (16 enodes) 180.586 * * [simplify]: iters left: 5 (67 enodes) 180.600 * * [simplify]: iters left: 4 (110 enodes) 180.639 * * [simplify]: iters left: 3 (191 enodes) 180.716 * * [simplify]: iters left: 2 (385 enodes) 180.841 * * [simplify]: Extracting #0: cost 1 inf + 0 180.841 * * [simplify]: Extracting #1: cost 47 inf + 0 180.841 * * [simplify]: Extracting #2: cost 153 inf + 0 180.842 * * [simplify]: Extracting #3: cost 228 inf + 2 180.844 * * [simplify]: Extracting #4: cost 218 inf + 7812 180.851 * * [simplify]: Extracting #5: cost 119 inf + 55286 180.880 * * [simplify]: Extracting #6: cost 20 inf + 134446 180.921 * * [simplify]: Extracting #7: cost 0 inf + 152488 180.956 * * [simplify]: Extracting #8: cost 0 inf + 151833 180.992 * [simplify]: Simplified to (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 4)))) 180.992 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 4)))))) 180.993 * * * * [progress]: [ 276 / 463 ] simplifiying candidate # 180.993 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 180.993 * * [simplify]: iters left: 6 (14 enodes) 181.001 * * [simplify]: iters left: 5 (59 enodes) 181.022 * * [simplify]: iters left: 4 (106 enodes) 181.056 * * [simplify]: iters left: 3 (191 enodes) 181.142 * * [simplify]: iters left: 2 (432 enodes) 181.350 * * [simplify]: Extracting #0: cost 1 inf + 0 181.350 * * [simplify]: Extracting #1: cost 80 inf + 0 181.351 * * [simplify]: Extracting #2: cost 276 inf + 0 181.352 * * [simplify]: Extracting #3: cost 348 inf + 3 181.354 * * [simplify]: Extracting #4: cost 340 inf + 8803 181.359 * * [simplify]: Extracting #5: cost 277 inf + 36963 181.383 * * [simplify]: Extracting #6: cost 119 inf + 165521 181.436 * * [simplify]: Extracting #7: cost 17 inf + 253977 181.469 * * [simplify]: Extracting #8: cost 0 inf + 263749 181.532 * * [simplify]: Extracting #9: cost 0 inf + 261653 181.571 * [simplify]: Simplified to (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 181.571 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 181.571 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 181.571 * * [simplify]: iters left: 6 (14 enodes) 181.579 * * [simplify]: iters left: 5 (57 enodes) 181.599 * * [simplify]: iters left: 4 (96 enodes) 181.630 * * [simplify]: iters left: 3 (159 enodes) 181.694 * * [simplify]: iters left: 2 (319 enodes) 181.816 * * [simplify]: Extracting #0: cost 1 inf + 0 181.816 * * [simplify]: Extracting #1: cost 49 inf + 0 181.817 * * [simplify]: Extracting #2: cost 151 inf + 0 181.817 * * [simplify]: Extracting #3: cost 210 inf + 3 181.819 * * [simplify]: Extracting #4: cost 204 inf + 7068 181.830 * * [simplify]: Extracting #5: cost 72 inf + 82254 181.859 * * [simplify]: Extracting #6: cost 3 inf + 138692 181.890 * * [simplify]: Extracting #7: cost 0 inf + 141044 181.922 * * [simplify]: Extracting #8: cost 0 inf + 140651 181.951 * [simplify]: Simplified to (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 181.951 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 181.952 * * * * [progress]: [ 277 / 463 ] simplifiying candidate # 181.952 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 181.952 * * [simplify]: iters left: 6 (18 enodes) 181.957 * * [simplify]: iters left: 5 (74 enodes) 181.970 * * [simplify]: iters left: 4 (121 enodes) 181.999 * * [simplify]: iters left: 3 (207 enodes) 182.059 * * [simplify]: iters left: 2 (373 enodes) 182.192 * * [simplify]: Extracting #0: cost 1 inf + 0 182.192 * * [simplify]: Extracting #1: cost 28 inf + 0 182.193 * * [simplify]: Extracting #2: cost 51 inf + 0 182.193 * * [simplify]: Extracting #3: cost 74 inf + 0 182.193 * * [simplify]: Extracting #4: cost 136 inf + 85 182.194 * * [simplify]: Extracting #5: cost 152 inf + 2416 182.197 * * [simplify]: Extracting #6: cost 95 inf + 20956 182.204 * * [simplify]: Extracting #7: cost 25 inf + 56394 182.219 * * [simplify]: Extracting #8: cost 0 inf + 72350 182.238 * * [simplify]: Extracting #9: cost 0 inf + 71486 182.257 * * [simplify]: Extracting #10: cost 0 inf + 71404 182.276 * [simplify]: Simplified to (/ (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))))) 182.276 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 182.277 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 182.277 * * [simplify]: iters left: 6 (16 enodes) 182.285 * * [simplify]: iters left: 5 (64 enodes) 182.306 * * [simplify]: iters left: 4 (99 enodes) 182.340 * * [simplify]: iters left: 3 (145 enodes) 182.384 * * [simplify]: iters left: 2 (239 enodes) 182.453 * * [simplify]: iters left: 1 (465 enodes) 182.595 * * [simplify]: Extracting #0: cost 1 inf + 0 182.595 * * [simplify]: Extracting #1: cost 8 inf + 0 182.595 * * [simplify]: Extracting #2: cost 17 inf + 0 182.595 * * [simplify]: Extracting #3: cost 63 inf + 0 182.596 * * [simplify]: Extracting #4: cost 165 inf + 125 182.596 * * [simplify]: Extracting #5: cost 198 inf + 881 182.601 * * [simplify]: Extracting #6: cost 137 inf + 14689 182.611 * * [simplify]: Extracting #7: cost 61 inf + 50569 182.624 * * [simplify]: Extracting #8: cost 4 inf + 96231 182.638 * * [simplify]: Extracting #9: cost 0 inf + 98858 182.653 * * [simplify]: Extracting #10: cost 0 inf + 98727 182.681 * [simplify]: Simplified to (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) (sqrt (sqrt k))) 182.681 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) (sqrt (sqrt k))))) 182.681 * * * * [progress]: [ 278 / 463 ] simplifiying candidate # 182.681 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 182.681 * * [simplify]: iters left: 6 (17 enodes) 182.690 * * [simplify]: iters left: 5 (69 enodes) 182.711 * * [simplify]: iters left: 4 (109 enodes) 182.731 * * [simplify]: iters left: 3 (175 enodes) 182.766 * * [simplify]: iters left: 2 (302 enodes) 182.850 * * [simplify]: Extracting #0: cost 1 inf + 0 182.850 * * [simplify]: Extracting #1: cost 16 inf + 0 182.850 * * [simplify]: Extracting #2: cost 33 inf + 0 182.850 * * [simplify]: Extracting #3: cost 60 inf + 0 182.851 * * [simplify]: Extracting #4: cost 129 inf + 44 182.851 * * [simplify]: Extracting #5: cost 130 inf + 2500 182.853 * * [simplify]: Extracting #6: cost 76 inf + 17154 182.858 * * [simplify]: Extracting #7: cost 21 inf + 42538 182.865 * * [simplify]: Extracting #8: cost 1 inf + 54797 182.872 * * [simplify]: Extracting #9: cost 0 inf + 55462 182.880 * [simplify]: Simplified to (* (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (sqrt (sqrt k)))) 182.881 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (sqrt (sqrt k)))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 182.881 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 182.881 * * [simplify]: iters left: 6 (16 enodes) 182.890 * * [simplify]: iters left: 5 (64 enodes) 182.915 * * [simplify]: iters left: 4 (100 enodes) 182.946 * * [simplify]: iters left: 3 (146 enodes) 182.973 * * [simplify]: iters left: 2 (240 enodes) 183.038 * * [simplify]: iters left: 1 (470 enodes) 183.244 * * [simplify]: Extracting #0: cost 1 inf + 0 183.244 * * [simplify]: Extracting #1: cost 8 inf + 0 183.244 * * [simplify]: Extracting #2: cost 18 inf + 0 183.244 * * [simplify]: Extracting #3: cost 66 inf + 0 183.245 * * [simplify]: Extracting #4: cost 186 inf + 44 183.246 * * [simplify]: Extracting #5: cost 206 inf + 754 183.252 * * [simplify]: Extracting #6: cost 134 inf + 20027 183.272 * * [simplify]: Extracting #7: cost 33 inf + 83856 183.302 * * [simplify]: Extracting #8: cost 0 inf + 110539 183.321 * * [simplify]: Extracting #9: cost 0 inf + 106422 183.343 * * [simplify]: Extracting #10: cost 0 inf + 103877 183.376 * * [simplify]: Extracting #11: cost 0 inf + 103786 183.409 * [simplify]: Simplified to (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))))) 183.409 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))))))) 183.410 * * * * [progress]: [ 279 / 463 ] simplifiying candidate # 183.410 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) 1)) 183.410 * * [simplify]: iters left: 6 (13 enodes) 183.418 * * [simplify]: iters left: 5 (52 enodes) 183.437 * * [simplify]: iters left: 4 (83 enodes) 183.461 * * [simplify]: iters left: 3 (125 enodes) 183.486 * * [simplify]: iters left: 2 (200 enodes) 183.533 * * [simplify]: iters left: 1 (356 enodes) 183.678 * * [simplify]: Extracting #0: cost 1 inf + 0 183.678 * * [simplify]: Extracting #1: cost 9 inf + 0 183.678 * * [simplify]: Extracting #2: cost 16 inf + 1 183.678 * * [simplify]: Extracting #3: cost 42 inf + 1 183.679 * * [simplify]: Extracting #4: cost 106 inf + 45 183.681 * * [simplify]: Extracting #5: cost 130 inf + 3680 183.688 * * [simplify]: Extracting #6: cost 61 inf + 25949 183.708 * * [simplify]: Extracting #7: cost 3 inf + 50081 183.731 * * [simplify]: Extracting #8: cost 0 inf + 48377 183.754 * * [simplify]: Extracting #9: cost 0 inf + 48167 183.778 * [simplify]: Simplified to (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (sqrt (sqrt k))) 183.778 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 183.778 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 183.778 * * [simplify]: iters left: 6 (15 enodes) 183.786 * * [simplify]: iters left: 5 (61 enodes) 183.805 * * [simplify]: iters left: 4 (100 enodes) 183.822 * * [simplify]: iters left: 3 (167 enodes) 183.874 * * [simplify]: iters left: 2 (333 enodes) 183.964 * * [simplify]: Extracting #0: cost 1 inf + 0 183.965 * * [simplify]: Extracting #1: cost 52 inf + 0 183.965 * * [simplify]: Extracting #2: cost 155 inf + 0 183.966 * * [simplify]: Extracting #3: cost 214 inf + 2 183.967 * * [simplify]: Extracting #4: cost 222 inf + 3880 183.971 * * [simplify]: Extracting #5: cost 148 inf + 30743 183.984 * * [simplify]: Extracting #6: cost 22 inf + 127982 184.009 * * [simplify]: Extracting #7: cost 1 inf + 145687 184.049 * * [simplify]: Extracting #8: cost 0 inf + 146671 184.073 * [simplify]: Simplified to (/ (* (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (pow n (/ (- 1 k) 2)))) (sqrt (sqrt k))) 184.073 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (* (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (pow n (/ (- 1 k) 2)))) (sqrt (sqrt k))))) 184.073 * * * * [progress]: [ 280 / 463 ] simplifiying candidate # 184.073 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 184.074 * * [simplify]: iters left: 6 (17 enodes) 184.078 * * [simplify]: iters left: 5 (72 enodes) 184.091 * * [simplify]: iters left: 4 (120 enodes) 184.130 * * [simplify]: iters left: 3 (222 enodes) 184.213 * * [simplify]: Extracting #0: cost 1 inf + 0 184.213 * * [simplify]: Extracting #1: cost 31 inf + 0 184.213 * * [simplify]: Extracting #2: cost 97 inf + 0 184.214 * * [simplify]: Extracting #3: cost 142 inf + 1 184.215 * * [simplify]: Extracting #4: cost 150 inf + 1385 184.217 * * [simplify]: Extracting #5: cost 87 inf + 17544 184.224 * * [simplify]: Extracting #6: cost 17 inf + 57022 184.233 * * [simplify]: Extracting #7: cost 0 inf + 72312 184.252 * [simplify]: Simplified to (/ (* (* (pow (* PI 2) (/ (- 1 k) 8)) (cbrt (pow n (/ (- 1 k) 2)))) (* (pow (* PI 2) (/ (- 1 k) 8)) (cbrt (pow n (/ (- 1 k) 2))))) (sqrt (sqrt k))) 184.252 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (* (pow (* PI 2) (/ (- 1 k) 8)) (cbrt (pow n (/ (- 1 k) 2)))) (* (pow (* PI 2) (/ (- 1 k) 8)) (cbrt (pow n (/ (- 1 k) 2))))) (sqrt (sqrt k))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 184.252 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 184.253 * * [simplify]: iters left: 6 (16 enodes) 184.261 * * [simplify]: iters left: 5 (67 enodes) 184.288 * * [simplify]: iters left: 4 (110 enodes) 184.327 * * [simplify]: iters left: 3 (191 enodes) 184.401 * * [simplify]: iters left: 2 (385 enodes) 184.534 * * [simplify]: Extracting #0: cost 1 inf + 0 184.534 * * [simplify]: Extracting #1: cost 47 inf + 0 184.535 * * [simplify]: Extracting #2: cost 153 inf + 0 184.536 * * [simplify]: Extracting #3: cost 228 inf + 2 184.539 * * [simplify]: Extracting #4: cost 218 inf + 7612 184.546 * * [simplify]: Extracting #5: cost 119 inf + 54246 184.561 * * [simplify]: Extracting #6: cost 20 inf + 131886 184.587 * * [simplify]: Extracting #7: cost 0 inf + 149408 184.605 * * [simplify]: Extracting #8: cost 0 inf + 148753 184.636 * [simplify]: Simplified to (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 4)))) 184.636 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 4)))))) 184.636 * * * * [progress]: [ 281 / 463 ] simplifiying candidate # 184.637 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt 1) (pow 2 (/ (- 1 k) 2)))) 184.637 * * [simplify]: iters left: 6 (13 enodes) 184.645 * * [simplify]: iters left: 5 (56 enodes) 184.665 * * [simplify]: iters left: 4 (101 enodes) 184.700 * * [simplify]: iters left: 3 (193 enodes) 184.761 * * [simplify]: iters left: 2 (420 enodes) 185.079 * * [simplify]: Extracting #0: cost 1 inf + 0 185.079 * * [simplify]: Extracting #1: cost 102 inf + 0 185.081 * * [simplify]: Extracting #2: cost 300 inf + 1 185.084 * * [simplify]: Extracting #3: cost 343 inf + 4 185.088 * * [simplify]: Extracting #4: cost 374 inf + 11 185.093 * * [simplify]: Extracting #5: cost 318 inf + 16742 185.119 * * [simplify]: Extracting #6: cost 167 inf + 105182 185.173 * * [simplify]: Extracting #7: cost 6 inf + 235666 185.236 * * [simplify]: Extracting #8: cost 0 inf + 236919 185.301 * * [simplify]: Extracting #9: cost 0 inf + 236829 185.340 * [simplify]: Simplified to (* (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (pow 2 (/ (- 1 k) 2))) 185.340 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (pow 2 (/ (- 1 k) 2))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 185.341 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 185.341 * * [simplify]: iters left: 6 (13 enodes) 185.345 * * [simplify]: iters left: 5 (54 enodes) 185.354 * * [simplify]: iters left: 4 (93 enodes) 185.384 * * [simplify]: iters left: 3 (160 enodes) 185.424 * * [simplify]: iters left: 2 (322 enodes) 185.544 * * [simplify]: Extracting #0: cost 1 inf + 0 185.544 * * [simplify]: Extracting #1: cost 52 inf + 0 185.544 * * [simplify]: Extracting #2: cost 150 inf + 0 185.545 * * [simplify]: Extracting #3: cost 203 inf + 45 185.546 * * [simplify]: Extracting #4: cost 188 inf + 9769 185.554 * * [simplify]: Extracting #5: cost 68 inf + 76755 185.569 * * [simplify]: Extracting #6: cost 1 inf + 126582 185.584 * * [simplify]: Extracting #7: cost 0 inf + 125129 185.610 * * [simplify]: Extracting #8: cost 0 inf + 125049 185.640 * [simplify]: Simplified to (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 185.641 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (pow 2 (/ (- 1 k) 2))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 185.641 * * * * [progress]: [ 282 / 463 ] simplifiying candidate # 185.641 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt 1) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 185.641 * * [simplify]: iters left: 6 (17 enodes) 185.650 * * [simplify]: iters left: 5 (71 enodes) 185.674 * * [simplify]: iters left: 4 (119 enodes) 185.714 * * [simplify]: iters left: 3 (225 enodes) 185.791 * * [simplify]: iters left: 2 (400 enodes) 185.888 * * [simplify]: Extracting #0: cost 1 inf + 0 185.888 * * [simplify]: Extracting #1: cost 26 inf + 0 185.888 * * [simplify]: Extracting #2: cost 51 inf + 1 185.888 * * [simplify]: Extracting #3: cost 73 inf + 1 185.889 * * [simplify]: Extracting #4: cost 136 inf + 3 185.889 * * [simplify]: Extracting #5: cost 168 inf + 8 185.890 * * [simplify]: Extracting #6: cost 149 inf + 3007 185.893 * * [simplify]: Extracting #7: cost 76 inf + 26242 185.911 * * [simplify]: Extracting #8: cost 6 inf + 72033 185.935 * * [simplify]: Extracting #9: cost 0 inf + 75382 185.955 * [simplify]: Simplified to (* (* (cbrt (pow n (* 1/2 (- 1 k)))) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2))))) (* (cbrt (pow n (* 1/2 (- 1 k)))) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))))) 185.956 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow n (* 1/2 (- 1 k)))) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2))))) (* (cbrt (pow n (* 1/2 (- 1 k)))) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 185.956 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 185.956 * * [simplify]: iters left: 6 (15 enodes) 185.964 * * [simplify]: iters left: 5 (61 enodes) 185.979 * * [simplify]: iters left: 4 (96 enodes) 185.995 * * [simplify]: iters left: 3 (146 enodes) 186.035 * * [simplify]: iters left: 2 (245 enodes) 186.099 * * [simplify]: iters left: 1 (471 enodes) 186.322 * * [simplify]: Extracting #0: cost 1 inf + 0 186.323 * * [simplify]: Extracting #1: cost 8 inf + 0 186.323 * * [simplify]: Extracting #2: cost 17 inf + 0 186.323 * * [simplify]: Extracting #3: cost 60 inf + 83 186.324 * * [simplify]: Extracting #4: cost 167 inf + 85 186.326 * * [simplify]: Extracting #5: cost 206 inf + 300 186.330 * * [simplify]: Extracting #6: cost 146 inf + 11331 186.342 * * [simplify]: Extracting #7: cost 63 inf + 54380 186.358 * * [simplify]: Extracting #8: cost 5 inf + 98821 186.371 * * [simplify]: Extracting #9: cost 0 inf + 101731 186.395 * [simplify]: Simplified to (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 186.395 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt 1) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 186.395 * * * * [progress]: [ 283 / 463 ] simplifiying candidate # 186.396 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt 1) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 186.396 * * [simplify]: iters left: 6 (16 enodes) 186.405 * * [simplify]: iters left: 5 (66 enodes) 186.427 * * [simplify]: iters left: 4 (108 enodes) 186.461 * * [simplify]: iters left: 3 (181 enodes) 186.523 * * [simplify]: iters left: 2 (293 enodes) 186.605 * * [simplify]: Extracting #0: cost 1 inf + 0 186.605 * * [simplify]: Extracting #1: cost 15 inf + 0 186.605 * * [simplify]: Extracting #2: cost 30 inf + 1 186.605 * * [simplify]: Extracting #3: cost 56 inf + 1 186.606 * * [simplify]: Extracting #4: cost 124 inf + 3 186.607 * * [simplify]: Extracting #5: cost 148 inf + 9 186.608 * * [simplify]: Extracting #6: cost 140 inf + 1263 186.613 * * [simplify]: Extracting #7: cost 78 inf + 16394 186.622 * * [simplify]: Extracting #8: cost 27 inf + 37589 186.632 * * [simplify]: Extracting #9: cost 1 inf + 53731 186.639 * * [simplify]: Extracting #10: cost 0 inf + 54478 186.646 * [simplify]: Simplified to (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2))))) 186.646 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2))))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 186.646 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 186.646 * * [simplify]: iters left: 6 (15 enodes) 186.651 * * [simplify]: iters left: 5 (61 enodes) 186.672 * * [simplify]: iters left: 4 (97 enodes) 186.693 * * [simplify]: iters left: 3 (147 enodes) 186.725 * * [simplify]: iters left: 2 (246 enodes) 186.794 * * [simplify]: iters left: 1 (462 enodes) 187.006 * * [simplify]: Extracting #0: cost 1 inf + 0 187.006 * * [simplify]: Extracting #1: cost 8 inf + 0 187.006 * * [simplify]: Extracting #2: cost 18 inf + 0 187.006 * * [simplify]: Extracting #3: cost 64 inf + 83 187.012 * * [simplify]: Extracting #4: cost 182 inf + 85 187.015 * * [simplify]: Extracting #5: cost 189 inf + 4139 187.026 * * [simplify]: Extracting #6: cost 91 inf + 44978 187.051 * * [simplify]: Extracting #7: cost 7 inf + 102529 187.079 * * [simplify]: Extracting #8: cost 0 inf + 107431 187.093 * * [simplify]: Extracting #9: cost 0 inf + 106722 187.107 * [simplify]: Simplified to (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))))) 187.107 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2))))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))))))) 187.107 * * * * [progress]: [ 284 / 463 ] simplifiying candidate # 187.108 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt 1) 1)) 187.108 * * [simplify]: iters left: 6 (12 enodes) 187.113 * * [simplify]: iters left: 5 (49 enodes) 187.121 * * [simplify]: iters left: 4 (78 enodes) 187.142 * * [simplify]: iters left: 3 (121 enodes) 187.183 * * [simplify]: iters left: 2 (199 enodes) 187.241 * * [simplify]: iters left: 1 (364 enodes) 187.377 * * [simplify]: Extracting #0: cost 1 inf + 0 187.377 * * [simplify]: Extracting #1: cost 6 inf + 0 187.378 * * [simplify]: Extracting #2: cost 9 inf + 1 187.378 * * [simplify]: Extracting #3: cost 33 inf + 1 187.378 * * [simplify]: Extracting #4: cost 101 inf + 3 187.379 * * [simplify]: Extracting #5: cost 144 inf + 8 187.381 * * [simplify]: Extracting #6: cost 141 inf + 432 187.385 * * [simplify]: Extracting #7: cost 70 inf + 14148 187.398 * * [simplify]: Extracting #8: cost 12 inf + 45398 187.411 * * [simplify]: Extracting #9: cost 0 inf + 54624 187.419 * * [simplify]: Extracting #10: cost 0 inf + 54293 187.428 * [simplify]: Simplified to (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) 187.428 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 187.428 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 187.428 * * [simplify]: iters left: 6 (14 enodes) 187.432 * * [simplify]: iters left: 5 (58 enodes) 187.446 * * [simplify]: iters left: 4 (97 enodes) 187.462 * * [simplify]: iters left: 3 (160 enodes) 187.516 * * [simplify]: iters left: 2 (320 enodes) 187.621 * * [simplify]: Extracting #0: cost 1 inf + 0 187.622 * * [simplify]: Extracting #1: cost 50 inf + 0 187.622 * * [simplify]: Extracting #2: cost 152 inf + 0 187.623 * * [simplify]: Extracting #3: cost 210 inf + 44 187.624 * * [simplify]: Extracting #4: cost 217 inf + 3125 187.627 * * [simplify]: Extracting #5: cost 153 inf + 23333 187.641 * * [simplify]: Extracting #6: cost 31 inf + 118297 187.670 * * [simplify]: Extracting #7: cost 0 inf + 145177 187.702 * * [simplify]: Extracting #8: cost 0 inf + 145046 187.719 * [simplify]: Simplified to (* (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) (cbrt (pow n (/ (- 1 k) 2)))) 187.719 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (* (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) (cbrt (pow n (/ (- 1 k) 2)))))) 187.719 * * * * [progress]: [ 285 / 463 ] simplifiying candidate # 187.719 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt 1) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 187.719 * * [simplify]: iters left: 6 (16 enodes) 187.725 * * [simplify]: iters left: 5 (69 enodes) 187.743 * * [simplify]: iters left: 4 (118 enodes) 187.775 * * [simplify]: iters left: 3 (228 enodes) 187.830 * * [simplify]: iters left: 2 (484 enodes) 188.084 * * [simplify]: Extracting #0: cost 1 inf + 0 188.085 * * [simplify]: Extracting #1: cost 104 inf + 0 188.087 * * [simplify]: Extracting #2: cost 309 inf + 1 188.089 * * [simplify]: Extracting #3: cost 373 inf + 3 188.091 * * [simplify]: Extracting #4: cost 402 inf + 14 188.094 * * [simplify]: Extracting #5: cost 344 inf + 18931 188.110 * * [simplify]: Extracting #6: cost 166 inf + 119567 188.159 * * [simplify]: Extracting #7: cost 11 inf + 246832 188.222 * * [simplify]: Extracting #8: cost 0 inf + 256778 188.267 * * [simplify]: Extracting #9: cost 0 inf + 256355 188.324 * [simplify]: Simplified to (* (pow (* 2 PI) (/ (- 1 k) 4)) (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2))))) 188.325 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (* 2 PI) (/ (- 1 k) 4)) (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2))))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 188.325 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 188.325 * * [simplify]: iters left: 6 (15 enodes) 188.334 * * [simplify]: iters left: 5 (64 enodes) 188.353 * * [simplify]: iters left: 4 (107 enodes) 188.371 * * [simplify]: iters left: 3 (188 enodes) 188.409 * * [simplify]: iters left: 2 (383 enodes) 188.547 * * [simplify]: Extracting #0: cost 1 inf + 0 188.547 * * [simplify]: Extracting #1: cost 48 inf + 0 188.548 * * [simplify]: Extracting #2: cost 155 inf + 0 188.550 * * [simplify]: Extracting #3: cost 224 inf + 44 188.553 * * [simplify]: Extracting #4: cost 221 inf + 7420 188.565 * * [simplify]: Extracting #5: cost 125 inf + 46046 188.592 * * [simplify]: Extracting #6: cost 28 inf + 114434 188.608 * * [simplify]: Extracting #7: cost 0 inf + 143136 188.632 * [simplify]: Simplified to (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 4)))) 188.632 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt 1) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 4)))))) 188.632 * * * * [progress]: [ 286 / 463 ] simplifiying candidate # 188.633 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 188.633 * * [simplify]: iters left: 6 (14 enodes) 188.641 * * [simplify]: iters left: 5 (59 enodes) 188.661 * * [simplify]: iters left: 4 (106 enodes) 188.685 * * [simplify]: iters left: 3 (191 enodes) 188.733 * * [simplify]: iters left: 2 (432 enodes) 188.904 * * [simplify]: Extracting #0: cost 1 inf + 0 188.904 * * [simplify]: Extracting #1: cost 80 inf + 0 188.906 * * [simplify]: Extracting #2: cost 276 inf + 0 188.908 * * [simplify]: Extracting #3: cost 348 inf + 3 188.912 * * [simplify]: Extracting #4: cost 340 inf + 8803 188.921 * * [simplify]: Extracting #5: cost 277 inf + 36963 188.952 * * [simplify]: Extracting #6: cost 119 inf + 165521 189.011 * * [simplify]: Extracting #7: cost 17 inf + 253977 189.072 * * [simplify]: Extracting #8: cost 0 inf + 263749 189.106 * * [simplify]: Extracting #9: cost 0 inf + 261653 189.169 * [simplify]: Simplified to (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 189.169 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 189.169 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 189.169 * * [simplify]: iters left: 6 (14 enodes) 189.177 * * [simplify]: iters left: 5 (57 enodes) 189.197 * * [simplify]: iters left: 4 (96 enodes) 189.228 * * [simplify]: iters left: 3 (159 enodes) 189.288 * * [simplify]: iters left: 2 (319 enodes) 189.392 * * [simplify]: Extracting #0: cost 1 inf + 0 189.392 * * [simplify]: Extracting #1: cost 49 inf + 0 189.393 * * [simplify]: Extracting #2: cost 151 inf + 0 189.393 * * [simplify]: Extracting #3: cost 210 inf + 3 189.395 * * [simplify]: Extracting #4: cost 204 inf + 7068 189.402 * * [simplify]: Extracting #5: cost 72 inf + 82254 189.428 * * [simplify]: Extracting #6: cost 3 inf + 138692 189.445 * * [simplify]: Extracting #7: cost 0 inf + 141044 189.460 * * [simplify]: Extracting #8: cost 0 inf + 140651 189.488 * [simplify]: Simplified to (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 189.488 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 189.488 * * * * [progress]: [ 287 / 463 ] simplifiying candidate # 189.489 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 189.489 * * [simplify]: iters left: 6 (18 enodes) 189.501 * * [simplify]: iters left: 5 (74 enodes) 189.523 * * [simplify]: iters left: 4 (121 enodes) 189.545 * * [simplify]: iters left: 3 (207 enodes) 189.603 * * [simplify]: iters left: 2 (373 enodes) 189.695 * * [simplify]: Extracting #0: cost 1 inf + 0 189.696 * * [simplify]: Extracting #1: cost 28 inf + 0 189.696 * * [simplify]: Extracting #2: cost 51 inf + 0 189.696 * * [simplify]: Extracting #3: cost 74 inf + 0 189.696 * * [simplify]: Extracting #4: cost 136 inf + 85 189.697 * * [simplify]: Extracting #5: cost 152 inf + 2416 189.700 * * [simplify]: Extracting #6: cost 95 inf + 20956 189.706 * * [simplify]: Extracting #7: cost 25 inf + 56394 189.716 * * [simplify]: Extracting #8: cost 0 inf + 72350 189.726 * * [simplify]: Extracting #9: cost 0 inf + 71486 189.735 * * [simplify]: Extracting #10: cost 0 inf + 71404 189.752 * [simplify]: Simplified to (/ (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))))) 189.752 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 189.752 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 189.752 * * [simplify]: iters left: 6 (16 enodes) 189.761 * * [simplify]: iters left: 5 (64 enodes) 189.782 * * [simplify]: iters left: 4 (99 enodes) 189.816 * * [simplify]: iters left: 3 (145 enodes) 189.863 * * [simplify]: iters left: 2 (239 enodes) 189.957 * * [simplify]: iters left: 1 (465 enodes) 190.146 * * [simplify]: Extracting #0: cost 1 inf + 0 190.146 * * [simplify]: Extracting #1: cost 8 inf + 0 190.146 * * [simplify]: Extracting #2: cost 17 inf + 0 190.146 * * [simplify]: Extracting #3: cost 63 inf + 0 190.150 * * [simplify]: Extracting #4: cost 165 inf + 125 190.151 * * [simplify]: Extracting #5: cost 198 inf + 881 190.153 * * [simplify]: Extracting #6: cost 137 inf + 14689 190.161 * * [simplify]: Extracting #7: cost 61 inf + 50569 190.184 * * [simplify]: Extracting #8: cost 4 inf + 96231 190.200 * * [simplify]: Extracting #9: cost 0 inf + 98858 190.214 * * [simplify]: Extracting #10: cost 0 inf + 98727 190.237 * [simplify]: Simplified to (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) (sqrt (sqrt k))) 190.238 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) (sqrt (sqrt k))))) 190.238 * * * * [progress]: [ 288 / 463 ] simplifiying candidate # 190.238 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 190.238 * * [simplify]: iters left: 6 (17 enodes) 190.247 * * [simplify]: iters left: 5 (69 enodes) 190.272 * * [simplify]: iters left: 4 (109 enodes) 190.290 * * [simplify]: iters left: 3 (175 enodes) 190.334 * * [simplify]: iters left: 2 (302 enodes) 190.437 * * [simplify]: Extracting #0: cost 1 inf + 0 190.437 * * [simplify]: Extracting #1: cost 16 inf + 0 190.437 * * [simplify]: Extracting #2: cost 33 inf + 0 190.438 * * [simplify]: Extracting #3: cost 60 inf + 0 190.438 * * [simplify]: Extracting #4: cost 129 inf + 44 190.440 * * [simplify]: Extracting #5: cost 130 inf + 2500 190.444 * * [simplify]: Extracting #6: cost 76 inf + 17154 190.454 * * [simplify]: Extracting #7: cost 21 inf + 42538 190.468 * * [simplify]: Extracting #8: cost 1 inf + 54797 190.475 * * [simplify]: Extracting #9: cost 0 inf + 55462 190.482 * [simplify]: Simplified to (* (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (sqrt (sqrt k)))) 190.482 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (sqrt (sqrt k)))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 190.482 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 190.483 * * [simplify]: iters left: 6 (16 enodes) 190.487 * * [simplify]: iters left: 5 (64 enodes) 190.509 * * [simplify]: iters left: 4 (100 enodes) 190.540 * * [simplify]: iters left: 3 (146 enodes) 190.569 * * [simplify]: iters left: 2 (240 enodes) 190.638 * * [simplify]: iters left: 1 (470 enodes) 190.834 * * [simplify]: Extracting #0: cost 1 inf + 0 190.834 * * [simplify]: Extracting #1: cost 8 inf + 0 190.834 * * [simplify]: Extracting #2: cost 18 inf + 0 190.834 * * [simplify]: Extracting #3: cost 66 inf + 0 190.835 * * [simplify]: Extracting #4: cost 186 inf + 44 190.838 * * [simplify]: Extracting #5: cost 206 inf + 754 190.844 * * [simplify]: Extracting #6: cost 134 inf + 20027 190.865 * * [simplify]: Extracting #7: cost 33 inf + 83856 190.881 * * [simplify]: Extracting #8: cost 0 inf + 110539 190.909 * * [simplify]: Extracting #9: cost 0 inf + 106422 190.928 * * [simplify]: Extracting #10: cost 0 inf + 103877 190.945 * * [simplify]: Extracting #11: cost 0 inf + 103786 190.962 * [simplify]: Simplified to (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))))) 190.962 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))))))) 190.962 * * * * [progress]: [ 289 / 463 ] simplifiying candidate # 190.962 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) 1)) 190.962 * * [simplify]: iters left: 6 (13 enodes) 190.967 * * [simplify]: iters left: 5 (52 enodes) 190.985 * * [simplify]: iters left: 4 (83 enodes) 191.012 * * [simplify]: iters left: 3 (125 enodes) 191.056 * * [simplify]: iters left: 2 (200 enodes) 191.106 * * [simplify]: iters left: 1 (356 enodes) 191.235 * * [simplify]: Extracting #0: cost 1 inf + 0 191.235 * * [simplify]: Extracting #1: cost 9 inf + 0 191.235 * * [simplify]: Extracting #2: cost 16 inf + 1 191.235 * * [simplify]: Extracting #3: cost 42 inf + 1 191.235 * * [simplify]: Extracting #4: cost 106 inf + 45 191.236 * * [simplify]: Extracting #5: cost 130 inf + 3680 191.243 * * [simplify]: Extracting #6: cost 61 inf + 25949 191.252 * * [simplify]: Extracting #7: cost 3 inf + 50081 191.264 * * [simplify]: Extracting #8: cost 0 inf + 48377 191.283 * * [simplify]: Extracting #9: cost 0 inf + 48167 191.301 * [simplify]: Simplified to (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (sqrt (sqrt k))) 191.301 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 191.302 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 191.302 * * [simplify]: iters left: 6 (15 enodes) 191.306 * * [simplify]: iters left: 5 (61 enodes) 191.317 * * [simplify]: iters left: 4 (100 enodes) 191.337 * * [simplify]: iters left: 3 (167 enodes) 191.376 * * [simplify]: iters left: 2 (333 enodes) 191.471 * * [simplify]: Extracting #0: cost 1 inf + 0 191.471 * * [simplify]: Extracting #1: cost 52 inf + 0 191.471 * * [simplify]: Extracting #2: cost 155 inf + 0 191.472 * * [simplify]: Extracting #3: cost 214 inf + 2 191.473 * * [simplify]: Extracting #4: cost 222 inf + 3880 191.476 * * [simplify]: Extracting #5: cost 148 inf + 30743 191.495 * * [simplify]: Extracting #6: cost 22 inf + 127982 191.527 * * [simplify]: Extracting #7: cost 1 inf + 145687 191.548 * * [simplify]: Extracting #8: cost 0 inf + 146671 191.574 * [simplify]: Simplified to (/ (* (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (pow n (/ (- 1 k) 2)))) (sqrt (sqrt k))) 191.574 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (* (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (pow n (/ (- 1 k) 2)))) (sqrt (sqrt k))))) 191.574 * * * * [progress]: [ 290 / 463 ] simplifiying candidate # 191.574 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 191.574 * * [simplify]: iters left: 6 (17 enodes) 191.584 * * [simplify]: iters left: 5 (72 enodes) 191.607 * * [simplify]: iters left: 4 (120 enodes) 191.650 * * [simplify]: iters left: 3 (222 enodes) 191.717 * * [simplify]: Extracting #0: cost 1 inf + 0 191.718 * * [simplify]: Extracting #1: cost 31 inf + 0 191.718 * * [simplify]: Extracting #2: cost 97 inf + 0 191.718 * * [simplify]: Extracting #3: cost 142 inf + 1 191.719 * * [simplify]: Extracting #4: cost 150 inf + 1385 191.721 * * [simplify]: Extracting #5: cost 87 inf + 17544 191.728 * * [simplify]: Extracting #6: cost 17 inf + 57022 191.739 * * [simplify]: Extracting #7: cost 0 inf + 72312 191.756 * [simplify]: Simplified to (/ (* (* (pow (* PI 2) (/ (- 1 k) 8)) (cbrt (pow n (/ (- 1 k) 2)))) (* (pow (* PI 2) (/ (- 1 k) 8)) (cbrt (pow n (/ (- 1 k) 2))))) (sqrt (sqrt k))) 191.756 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (* (pow (* PI 2) (/ (- 1 k) 8)) (cbrt (pow n (/ (- 1 k) 2)))) (* (pow (* PI 2) (/ (- 1 k) 8)) (cbrt (pow n (/ (- 1 k) 2))))) (sqrt (sqrt k))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 191.756 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 191.757 * * [simplify]: iters left: 6 (16 enodes) 191.763 * * [simplify]: iters left: 5 (67 enodes) 191.778 * * [simplify]: iters left: 4 (110 enodes) 191.798 * * [simplify]: iters left: 3 (191 enodes) 191.849 * * [simplify]: iters left: 2 (385 enodes) 191.973 * * [simplify]: Extracting #0: cost 1 inf + 0 191.974 * * [simplify]: Extracting #1: cost 47 inf + 0 191.974 * * [simplify]: Extracting #2: cost 153 inf + 0 191.976 * * [simplify]: Extracting #3: cost 228 inf + 2 191.979 * * [simplify]: Extracting #4: cost 218 inf + 7612 191.991 * * [simplify]: Extracting #5: cost 119 inf + 54246 192.015 * * [simplify]: Extracting #6: cost 20 inf + 131886 192.035 * * [simplify]: Extracting #7: cost 0 inf + 149408 192.062 * * [simplify]: Extracting #8: cost 0 inf + 148753 192.079 * [simplify]: Simplified to (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 4)))) 192.079 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 4)))))) 192.079 * * * * [progress]: [ 291 / 463 ] simplifiying candidate # 192.081 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ 1 (pow 2 (/ (- 1 k) 2)))) 192.081 * * [simplify]: iters left: 6 (12 enodes) 192.088 * * [simplify]: iters left: 5 (53 enodes) 192.107 * * [simplify]: iters left: 4 (92 enodes) 192.130 * * [simplify]: iters left: 3 (189 enodes) 192.188 * * [simplify]: iters left: 2 (439 enodes) 192.398 * * [simplify]: Extracting #0: cost 1 inf + 0 192.399 * * [simplify]: Extracting #1: cost 93 inf + 0 192.400 * * [simplify]: Extracting #2: cost 287 inf + 1 192.403 * * [simplify]: Extracting #3: cost 339 inf + 4 192.406 * * [simplify]: Extracting #4: cost 369 inf + 11 192.411 * * [simplify]: Extracting #5: cost 320 inf + 11471 192.423 * * [simplify]: Extracting #6: cost 235 inf + 48423 192.466 * * [simplify]: Extracting #7: cost 40 inf + 200682 192.524 * * [simplify]: Extracting #8: cost 0 inf + 231364 192.554 * * [simplify]: Extracting #9: cost 0 inf + 230356 192.598 * [simplify]: Simplified to (* (pow 2 (/ (- 1 k) 2)) (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2))))) 192.598 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow 2 (/ (- 1 k) 2)) (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2))))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 192.599 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 192.599 * * [simplify]: iters left: 6 (13 enodes) 192.603 * * [simplify]: iters left: 5 (54 enodes) 192.615 * * [simplify]: iters left: 4 (93 enodes) 192.636 * * [simplify]: iters left: 3 (160 enodes) 192.675 * * [simplify]: iters left: 2 (322 enodes) 192.796 * * [simplify]: Extracting #0: cost 1 inf + 0 192.796 * * [simplify]: Extracting #1: cost 52 inf + 0 192.796 * * [simplify]: Extracting #2: cost 150 inf + 0 192.797 * * [simplify]: Extracting #3: cost 203 inf + 45 192.798 * * [simplify]: Extracting #4: cost 188 inf + 9769 192.810 * * [simplify]: Extracting #5: cost 68 inf + 76755 192.839 * * [simplify]: Extracting #6: cost 1 inf + 126582 192.870 * * [simplify]: Extracting #7: cost 0 inf + 125129 192.900 * * [simplify]: Extracting #8: cost 0 inf + 125049 192.930 * [simplify]: Simplified to (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 192.930 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow 2 (/ (- 1 k) 2)) (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2))))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 192.930 * * * * [progress]: [ 292 / 463 ] simplifiying candidate # 192.931 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ 1 (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 192.931 * * [simplify]: iters left: 6 (16 enodes) 192.939 * * [simplify]: iters left: 5 (68 enodes) 192.962 * * [simplify]: iters left: 4 (115 enodes) 193.003 * * [simplify]: iters left: 3 (210 enodes) 193.080 * * [simplify]: iters left: 2 (355 enodes) 193.205 * * [simplify]: Extracting #0: cost 1 inf + 0 193.205 * * [simplify]: Extracting #1: cost 25 inf + 0 193.206 * * [simplify]: Extracting #2: cost 50 inf + 1 193.206 * * [simplify]: Extracting #3: cost 72 inf + 1 193.206 * * [simplify]: Extracting #4: cost 138 inf + 3 193.207 * * [simplify]: Extracting #5: cost 171 inf + 7 193.208 * * [simplify]: Extracting #6: cost 156 inf + 1924 193.210 * * [simplify]: Extracting #7: cost 94 inf + 19027 193.218 * * [simplify]: Extracting #8: cost 17 inf + 62111 193.228 * * [simplify]: Extracting #9: cost 1 inf + 73130 193.239 * * [simplify]: Extracting #10: cost 0 inf + 73500 193.259 * [simplify]: Simplified to (* (* (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) 193.259 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 193.260 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 193.260 * * [simplify]: iters left: 6 (15 enodes) 193.268 * * [simplify]: iters left: 5 (61 enodes) 193.288 * * [simplify]: iters left: 4 (96 enodes) 193.311 * * [simplify]: iters left: 3 (146 enodes) 193.344 * * [simplify]: iters left: 2 (245 enodes) 193.413 * * [simplify]: iters left: 1 (471 enodes) 193.641 * * [simplify]: Extracting #0: cost 1 inf + 0 193.641 * * [simplify]: Extracting #1: cost 8 inf + 0 193.641 * * [simplify]: Extracting #2: cost 17 inf + 0 193.641 * * [simplify]: Extracting #3: cost 60 inf + 83 193.641 * * [simplify]: Extracting #4: cost 167 inf + 85 193.642 * * [simplify]: Extracting #5: cost 206 inf + 300 193.645 * * [simplify]: Extracting #6: cost 146 inf + 11331 193.652 * * [simplify]: Extracting #7: cost 63 inf + 54380 193.664 * * [simplify]: Extracting #8: cost 5 inf + 98821 193.678 * * [simplify]: Extracting #9: cost 0 inf + 101731 193.697 * [simplify]: Simplified to (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 193.697 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ 1 (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 193.697 * * * * [progress]: [ 293 / 463 ] simplifiying candidate # 193.698 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ 1 (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 193.698 * * [simplify]: iters left: 6 (15 enodes) 193.706 * * [simplify]: iters left: 5 (63 enodes) 193.723 * * [simplify]: iters left: 4 (103 enodes) 193.740 * * [simplify]: iters left: 3 (172 enodes) 193.770 * * [simplify]: iters left: 2 (279 enodes) 193.872 * * [simplify]: Extracting #0: cost 1 inf + 0 193.872 * * [simplify]: Extracting #1: cost 15 inf + 0 193.872 * * [simplify]: Extracting #2: cost 30 inf + 1 193.872 * * [simplify]: Extracting #3: cost 56 inf + 1 193.873 * * [simplify]: Extracting #4: cost 123 inf + 3 193.874 * * [simplify]: Extracting #5: cost 146 inf + 9 193.875 * * [simplify]: Extracting #6: cost 120 inf + 4045 193.880 * * [simplify]: Extracting #7: cost 59 inf + 21617 193.890 * * [simplify]: Extracting #8: cost 24 inf + 39177 193.902 * * [simplify]: Extracting #9: cost 0 inf + 55173 193.909 * * [simplify]: Extracting #10: cost 0 inf + 55042 193.916 * [simplify]: Simplified to (* (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) 193.916 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 193.916 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 193.916 * * [simplify]: iters left: 6 (15 enodes) 193.920 * * [simplify]: iters left: 5 (61 enodes) 193.933 * * [simplify]: iters left: 4 (97 enodes) 193.949 * * [simplify]: iters left: 3 (147 enodes) 193.974 * * [simplify]: iters left: 2 (246 enodes) 194.066 * * [simplify]: iters left: 1 (462 enodes) 194.279 * * [simplify]: Extracting #0: cost 1 inf + 0 194.279 * * [simplify]: Extracting #1: cost 8 inf + 0 194.279 * * [simplify]: Extracting #2: cost 18 inf + 0 194.279 * * [simplify]: Extracting #3: cost 64 inf + 83 194.281 * * [simplify]: Extracting #4: cost 182 inf + 85 194.283 * * [simplify]: Extracting #5: cost 189 inf + 4139 194.294 * * [simplify]: Extracting #6: cost 91 inf + 44978 194.320 * * [simplify]: Extracting #7: cost 7 inf + 102529 194.348 * * [simplify]: Extracting #8: cost 0 inf + 107431 194.381 * * [simplify]: Extracting #9: cost 0 inf + 106722 194.409 * [simplify]: Simplified to (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))))) 194.410 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ 1 (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))))))) 194.410 * * * * [progress]: [ 294 / 463 ] simplifiying candidate # 194.410 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ 1 1)) 194.410 * * [simplify]: iters left: 6 (11 enodes) 194.418 * * [simplify]: iters left: 5 (44 enodes) 194.433 * * [simplify]: iters left: 4 (73 enodes) 194.457 * * [simplify]: iters left: 3 (112 enodes) 194.494 * * [simplify]: iters left: 2 (186 enodes) 194.567 * * [simplify]: iters left: 1 (349 enodes) 194.745 * * [simplify]: Extracting #0: cost 1 inf + 0 194.745 * * [simplify]: Extracting #1: cost 5 inf + 0 194.745 * * [simplify]: Extracting #2: cost 7 inf + 1 194.745 * * [simplify]: Extracting #3: cost 32 inf + 1 194.746 * * [simplify]: Extracting #4: cost 96 inf + 3 194.747 * * [simplify]: Extracting #5: cost 140 inf + 8 194.748 * * [simplify]: Extracting #6: cost 134 inf + 473 194.753 * * [simplify]: Extracting #7: cost 60 inf + 16074 194.770 * * [simplify]: Extracting #8: cost 6 inf + 46459 194.785 * * [simplify]: Extracting #9: cost 0 inf + 49816 194.801 * * [simplify]: Extracting #10: cost 0 inf + 49366 194.816 * [simplify]: Simplified to (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) 194.816 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 194.816 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 194.816 * * [simplify]: iters left: 6 (14 enodes) 194.824 * * [simplify]: iters left: 5 (58 enodes) 194.843 * * [simplify]: iters left: 4 (97 enodes) 194.874 * * [simplify]: iters left: 3 (160 enodes) 194.938 * * [simplify]: iters left: 2 (320 enodes) 195.035 * * [simplify]: Extracting #0: cost 1 inf + 0 195.035 * * [simplify]: Extracting #1: cost 50 inf + 0 195.036 * * [simplify]: Extracting #2: cost 152 inf + 0 195.038 * * [simplify]: Extracting #3: cost 210 inf + 44 195.040 * * [simplify]: Extracting #4: cost 217 inf + 3125 195.046 * * [simplify]: Extracting #5: cost 153 inf + 23333 195.070 * * [simplify]: Extracting #6: cost 31 inf + 118297 195.102 * * [simplify]: Extracting #7: cost 0 inf + 145177 195.135 * * [simplify]: Extracting #8: cost 0 inf + 145046 195.170 * [simplify]: Simplified to (* (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) (cbrt (pow n (/ (- 1 k) 2)))) 195.170 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (* (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) (cbrt (pow n (/ (- 1 k) 2)))))) 195.170 * * * * [progress]: [ 295 / 463 ] simplifiying candidate # 195.171 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ 1 (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 195.171 * * [simplify]: iters left: 6 (15 enodes) 195.175 * * [simplify]: iters left: 5 (66 enodes) 195.187 * * [simplify]: iters left: 4 (113 enodes) 195.208 * * [simplify]: iters left: 3 (223 enodes) 195.295 * * [simplify]: iters left: 2 (481 enodes) 195.585 * * [simplify]: Extracting #0: cost 1 inf + 0 195.585 * * [simplify]: Extracting #1: cost 94 inf + 0 195.586 * * [simplify]: Extracting #2: cost 277 inf + 1 195.591 * * [simplify]: Extracting #3: cost 344 inf + 3 195.593 * * [simplify]: Extracting #4: cost 377 inf + 14 195.597 * * [simplify]: Extracting #5: cost 287 inf + 31430 195.630 * * [simplify]: Extracting #6: cost 59 inf + 184742 195.660 * * [simplify]: Extracting #7: cost 0 inf + 235312 195.714 * * [simplify]: Extracting #8: cost 0 inf + 234628 195.751 * [simplify]: Simplified to (* (* (pow (* 2 PI) (/ (- 1 k) 8)) (cbrt (pow n (/ (- 1 k) 2)))) (* (pow (* 2 PI) (/ (- 1 k) 8)) (cbrt (pow n (/ (- 1 k) 2))))) 195.751 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (* (pow (* 2 PI) (/ (- 1 k) 8)) (cbrt (pow n (/ (- 1 k) 2)))) (* (pow (* 2 PI) (/ (- 1 k) 8)) (cbrt (pow n (/ (- 1 k) 2))))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 195.751 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 195.751 * * [simplify]: iters left: 6 (15 enodes) 195.760 * * [simplify]: iters left: 5 (64 enodes) 195.782 * * [simplify]: iters left: 4 (107 enodes) 195.809 * * [simplify]: iters left: 3 (188 enodes) 195.856 * * [simplify]: iters left: 2 (383 enodes) 195.967 * * [simplify]: Extracting #0: cost 1 inf + 0 195.967 * * [simplify]: Extracting #1: cost 48 inf + 0 195.967 * * [simplify]: Extracting #2: cost 155 inf + 0 195.968 * * [simplify]: Extracting #3: cost 224 inf + 44 195.970 * * [simplify]: Extracting #4: cost 221 inf + 7420 195.976 * * [simplify]: Extracting #5: cost 125 inf + 46046 195.999 * * [simplify]: Extracting #6: cost 28 inf + 114434 196.379 * * [simplify]: Extracting #7: cost 0 inf + 143136 196.395 * [simplify]: Simplified to (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 4)))) 196.395 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ 1 (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 4)))))) 196.396 * * * * [progress]: [ 296 / 463 ] simplifiying candidate # 196.396 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) 1) 196.396 * * [simplify]: iters left: 6 (10 enodes) 196.400 * * [simplify]: iters left: 5 (41 enodes) 196.409 * * [simplify]: iters left: 4 (74 enodes) 196.424 * * [simplify]: iters left: 3 (110 enodes) 196.443 * * [simplify]: iters left: 2 (183 enodes) 196.483 * * [simplify]: iters left: 1 (335 enodes) 196.644 * * [simplify]: Extracting #0: cost 1 inf + 0 196.644 * * [simplify]: Extracting #1: cost 5 inf + 0 196.644 * * [simplify]: Extracting #2: cost 7 inf + 1 196.645 * * [simplify]: Extracting #3: cost 28 inf + 1 196.645 * * [simplify]: Extracting #4: cost 89 inf + 3 196.646 * * [simplify]: Extracting #5: cost 129 inf + 8 196.647 * * [simplify]: Extracting #6: cost 119 inf + 1223 196.653 * * [simplify]: Extracting #7: cost 50 inf + 19389 196.666 * * [simplify]: Extracting #8: cost 4 inf + 44974 196.685 * * [simplify]: Extracting #9: cost 0 inf + 47192 196.698 * * [simplify]: Extracting #10: cost 0 inf + 46688 196.706 * [simplify]: Simplified to (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) 196.706 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 196.706 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 196.706 * * [simplify]: iters left: 6 (14 enodes) 196.710 * * [simplify]: iters left: 5 (58 enodes) 196.721 * * [simplify]: iters left: 4 (97 enodes) 196.741 * * [simplify]: iters left: 3 (160 enodes) 196.789 * * [simplify]: iters left: 2 (320 enodes) 196.902 * * [simplify]: Extracting #0: cost 1 inf + 0 196.902 * * [simplify]: Extracting #1: cost 50 inf + 0 196.903 * * [simplify]: Extracting #2: cost 152 inf + 0 196.905 * * [simplify]: Extracting #3: cost 210 inf + 44 196.907 * * [simplify]: Extracting #4: cost 217 inf + 3125 196.913 * * [simplify]: Extracting #5: cost 153 inf + 23333 196.936 * * [simplify]: Extracting #6: cost 31 inf + 118297 196.969 * * [simplify]: Extracting #7: cost 0 inf + 145177 196.988 * * [simplify]: Extracting #8: cost 0 inf + 145046 197.009 * [simplify]: Simplified to (* (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) (cbrt (pow n (/ (- 1 k) 2)))) 197.009 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (* (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) (cbrt (pow n (/ (- 1 k) 2)))))) 197.009 * * * * [progress]: [ 297 / 463 ] simplifiying candidate # 197.009 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (sqrt k)) 197.009 * * [simplify]: iters left: 6 (11 enodes) 197.013 * * [simplify]: iters left: 5 (46 enodes) 197.022 * * [simplify]: iters left: 4 (75 enodes) 197.035 * * [simplify]: iters left: 3 (113 enodes) 197.064 * * [simplify]: iters left: 2 (186 enodes) 197.118 * * [simplify]: iters left: 1 (339 enodes) 197.241 * * [simplify]: Extracting #0: cost 1 inf + 0 197.241 * * [simplify]: Extracting #1: cost 7 inf + 0 197.241 * * [simplify]: Extracting #2: cost 14 inf + 0 197.241 * * [simplify]: Extracting #3: cost 33 inf + 83 197.241 * * [simplify]: Extracting #4: cost 97 inf + 85 197.242 * * [simplify]: Extracting #5: cost 129 inf + 338 197.245 * * [simplify]: Extracting #6: cost 90 inf + 5641 197.252 * * [simplify]: Extracting #7: cost 38 inf + 23281 197.266 * * [simplify]: Extracting #8: cost 3 inf + 51047 197.281 * * [simplify]: Extracting #9: cost 0 inf + 51467 197.295 * * [simplify]: Extracting #10: cost 0 inf + 51346 197.314 * * [simplify]: Extracting #11: cost 0 inf + 51266 197.329 * [simplify]: Simplified to (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (sqrt k)) 197.329 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (sqrt k)) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ 1 (pow (* 2 PI) (/ (- 1 k) 2)))))) 197.330 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ 1 (pow (* 2 PI) (/ (- 1 k) 2)))) 197.330 * * [simplify]: iters left: 6 (13 enodes) 197.338 * * [simplify]: iters left: 5 (55 enodes) 197.357 * * [simplify]: iters left: 4 (90 enodes) 197.387 * * [simplify]: iters left: 3 (152 enodes) 197.443 * * [simplify]: iters left: 2 (294 enodes) 197.543 * * [simplify]: Extracting #0: cost 1 inf + 0 197.543 * * [simplify]: Extracting #1: cost 52 inf + 0 197.544 * * [simplify]: Extracting #2: cost 134 inf + 1 197.544 * * [simplify]: Extracting #3: cost 178 inf + 3 197.546 * * [simplify]: Extracting #4: cost 205 inf + 54 197.549 * * [simplify]: Extracting #5: cost 167 inf + 8260 197.563 * * [simplify]: Extracting #6: cost 90 inf + 42043 197.589 * * [simplify]: Extracting #7: cost 2 inf + 111081 197.616 * * [simplify]: Extracting #8: cost 0 inf + 111396 197.640 * [simplify]: Simplified to (* (cbrt (pow n (/ (- 1 k) 2))) (pow (* 2 PI) (/ (- 1 k) 2))) 197.640 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (sqrt k)) (* (cbrt (pow n (/ (- 1 k) 2))) (pow (* 2 PI) (/ (- 1 k) 2))))) 197.640 * * * * [progress]: [ 298 / 463 ] simplifiying candidate # 197.641 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt k) (pow (* 2 PI) (/ 1 2)))) 197.641 * * [simplify]: iters left: 6 (16 enodes) 197.646 * * [simplify]: iters left: 5 (67 enodes) 197.659 * * [simplify]: iters left: 4 (124 enodes) 197.694 * * [simplify]: iters left: 3 (239 enodes) 197.739 * * [simplify]: iters left: 2 (478 enodes) 197.967 * * [simplify]: Extracting #0: cost 1 inf + 0 197.968 * * [simplify]: Extracting #1: cost 62 inf + 0 197.969 * * [simplify]: Extracting #2: cost 198 inf + 0 197.971 * * [simplify]: Extracting #3: cost 209 inf + 90 197.973 * * [simplify]: Extracting #4: cost 235 inf + 1051 197.979 * * [simplify]: Extracting #5: cost 203 inf + 27290 198.012 * * [simplify]: Extracting #6: cost 40 inf + 141314 198.054 * * [simplify]: Extracting #7: cost 0 inf + 169718 198.096 * * [simplify]: Extracting #8: cost 0 inf + 169078 198.136 * [simplify]: Simplified to (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt k) (sqrt (* 2 PI)))) 198.136 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt k) (sqrt (* 2 PI)))) (/ (cbrt (pow n (/ (- 1 k) 2))) (pow (* 2 PI) (/ k 2))))) 198.136 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (pow (* 2 PI) (/ k 2))) 198.136 * * [simplify]: iters left: 6 (13 enodes) 198.140 * * [simplify]: iters left: 5 (53 enodes) 198.151 * * [simplify]: iters left: 4 (84 enodes) 198.167 * * [simplify]: iters left: 3 (149 enodes) 198.222 * * [simplify]: iters left: 2 (299 enodes) 198.314 * * [simplify]: Extracting #0: cost 1 inf + 0 198.314 * * [simplify]: Extracting #1: cost 6 inf + 0 198.314 * * [simplify]: Extracting #2: cost 28 inf + 0 198.315 * * [simplify]: Extracting #3: cost 90 inf + 1 198.316 * * [simplify]: Extracting #4: cost 130 inf + 303 198.318 * * [simplify]: Extracting #5: cost 113 inf + 8276 198.325 * * [simplify]: Extracting #6: cost 41 inf + 33227 198.337 * * [simplify]: Extracting #7: cost 6 inf + 49616 198.349 * * [simplify]: Extracting #8: cost 0 inf + 53278 198.362 * * [simplify]: Extracting #9: cost 0 inf + 53147 198.375 * [simplify]: Simplified to (/ (cbrt (pow n (- 1/2 (/ k 2)))) (pow (* 2 PI) (/ k 2))) 198.375 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt k) (sqrt (* 2 PI)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (pow (* 2 PI) (/ k 2))))) 198.375 * * * * [progress]: [ 299 / 463 ] simplifiying candidate # 198.375 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (* (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 198.375 * * [simplify]: iters left: 6 (16 enodes) 198.384 * * [simplify]: iters left: 5 (64 enodes) 198.408 * * [simplify]: iters left: 4 (99 enodes) 198.439 * * [simplify]: iters left: 3 (145 enodes) 198.489 * * [simplify]: iters left: 2 (245 enodes) 198.585 * * [simplify]: iters left: 1 (482 enodes) 198.774 * * [simplify]: Extracting #0: cost 1 inf + 0 198.774 * * [simplify]: Extracting #1: cost 6 inf + 0 198.774 * * [simplify]: Extracting #2: cost 13 inf + 0 198.774 * * [simplify]: Extracting #3: cost 41 inf + 0 198.774 * * [simplify]: Extracting #4: cost 139 inf + 2 198.775 * * [simplify]: Extracting #5: cost 208 inf + 2267 198.779 * * [simplify]: Extracting #6: cost 145 inf + 24174 198.788 * * [simplify]: Extracting #7: cost 63 inf + 63423 198.802 * * [simplify]: Extracting #8: cost 1 inf + 109349 198.830 * * [simplify]: Extracting #9: cost 0 inf + 110426 198.863 * [simplify]: Simplified to (/ (fabs (pow n (/ (- 1 k) 4))) (* (cbrt (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2))))))) 198.863 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (fabs (pow n (/ (- 1 k) 4))) (* (cbrt (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2))))))) (/ (sqrt (pow n (/ (- 1 k) 2))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))))) 198.864 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 198.864 * * [simplify]: iters left: 6 (15 enodes) 198.868 * * [simplify]: iters left: 5 (59 enodes) 198.878 * * [simplify]: iters left: 4 (92 enodes) 198.893 * * [simplify]: iters left: 3 (142 enodes) 198.919 * * [simplify]: iters left: 2 (243 enodes) 198.971 * * [simplify]: iters left: 1 (473 enodes) 199.199 * * [simplify]: Extracting #0: cost 1 inf + 0 199.199 * * [simplify]: Extracting #1: cost 4 inf + 0 199.199 * * [simplify]: Extracting #2: cost 9 inf + 0 199.200 * * [simplify]: Extracting #3: cost 38 inf + 0 199.200 * * [simplify]: Extracting #4: cost 137 inf + 2 199.202 * * [simplify]: Extracting #5: cost 215 inf + 382 199.207 * * [simplify]: Extracting #6: cost 165 inf + 14112 199.222 * * [simplify]: Extracting #7: cost 78 inf + 56888 199.255 * * [simplify]: Extracting #8: cost 12 inf + 104682 199.288 * * [simplify]: Extracting #9: cost 0 inf + 113345 199.313 * * [simplify]: Extracting #10: cost 0 inf + 112712 199.329 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 199.330 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (* (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) (/ (sqrt (pow n (/ (- 1 k) 2))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))))) 199.330 * * * * [progress]: [ 300 / 463 ] simplifiying candidate # 199.330 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 199.330 * * [simplify]: iters left: 6 (15 enodes) 199.334 * * [simplify]: iters left: 5 (59 enodes) 199.345 * * [simplify]: iters left: 4 (92 enodes) 199.360 * * [simplify]: iters left: 3 (142 enodes) 199.395 * * [simplify]: iters left: 2 (243 enodes) 199.471 * * [simplify]: iters left: 1 (473 enodes) 199.674 * * [simplify]: Extracting #0: cost 1 inf + 0 199.674 * * [simplify]: Extracting #1: cost 4 inf + 0 199.674 * * [simplify]: Extracting #2: cost 9 inf + 0 199.674 * * [simplify]: Extracting #3: cost 38 inf + 0 199.675 * * [simplify]: Extracting #4: cost 137 inf + 2 199.676 * * [simplify]: Extracting #5: cost 215 inf + 382 199.681 * * [simplify]: Extracting #6: cost 165 inf + 13992 199.696 * * [simplify]: Extracting #7: cost 78 inf + 56728 199.724 * * [simplify]: Extracting #8: cost 12 inf + 104522 199.749 * * [simplify]: Extracting #9: cost 0 inf + 113185 199.765 * * [simplify]: Extracting #10: cost 0 inf + 112552 199.793 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 199.794 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (sqrt (pow n (/ (- 1 k) 2))) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))))) 199.794 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 199.794 * * [simplify]: iters left: 6 (15 enodes) 199.802 * * [simplify]: iters left: 5 (59 enodes) 199.823 * * [simplify]: iters left: 4 (92 enodes) 199.853 * * [simplify]: iters left: 3 (142 enodes) 199.901 * * [simplify]: iters left: 2 (243 enodes) 199.974 * * [simplify]: iters left: 1 (473 enodes) 200.201 * * [simplify]: Extracting #0: cost 1 inf + 0 200.201 * * [simplify]: Extracting #1: cost 4 inf + 0 200.201 * * [simplify]: Extracting #2: cost 9 inf + 0 200.201 * * [simplify]: Extracting #3: cost 38 inf + 0 200.202 * * [simplify]: Extracting #4: cost 137 inf + 2 200.204 * * [simplify]: Extracting #5: cost 215 inf + 382 200.208 * * [simplify]: Extracting #6: cost 165 inf + 13992 200.223 * * [simplify]: Extracting #7: cost 78 inf + 56728 200.251 * * [simplify]: Extracting #8: cost 12 inf + 104522 200.280 * * [simplify]: Extracting #9: cost 0 inf + 113185 200.296 * * [simplify]: Extracting #10: cost 0 inf + 112552 200.324 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 200.325 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (sqrt (pow n (/ (- 1 k) 2))) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))))) 200.325 * * * * [progress]: [ 301 / 463 ] simplifiying candidate # 200.325 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (/ (- 1 k) 2)))) 200.325 * * [simplify]: iters left: 6 (14 enodes) 200.333 * * [simplify]: iters left: 5 (59 enodes) 200.346 * * [simplify]: iters left: 4 (109 enodes) 200.365 * * [simplify]: iters left: 3 (209 enodes) 200.433 * * [simplify]: iters left: 2 (472 enodes) 200.657 * * [simplify]: Extracting #0: cost 1 inf + 0 200.657 * * [simplify]: Extracting #1: cost 84 inf + 0 200.658 * * [simplify]: Extracting #2: cost 293 inf + 0 200.660 * * [simplify]: Extracting #3: cost 392 inf + 3 200.662 * * [simplify]: Extracting #4: cost 377 inf + 12067 200.668 * * [simplify]: Extracting #5: cost 312 inf + 33081 200.691 * * [simplify]: Extracting #6: cost 101 inf + 197466 200.753 * * [simplify]: Extracting #7: cost 0 inf + 290469 200.809 * * [simplify]: Extracting #8: cost 0 inf + 287805 200.848 * * [simplify]: Extracting #9: cost 0 inf + 287355 200.900 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (/ (- 1 k) 2)))) 200.901 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (/ (- 1 k) 2)))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 200.901 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 200.902 * * [simplify]: iters left: 6 (14 enodes) 200.908 * * [simplify]: iters left: 5 (57 enodes) 200.920 * * [simplify]: iters left: 4 (97 enodes) 200.936 * * [simplify]: iters left: 3 (160 enodes) 200.990 * * [simplify]: iters left: 2 (320 enodes) 201.094 * * [simplify]: Extracting #0: cost 1 inf + 0 201.094 * * [simplify]: Extracting #1: cost 50 inf + 0 201.095 * * [simplify]: Extracting #2: cost 153 inf + 0 201.096 * * [simplify]: Extracting #3: cost 215 inf + 3 201.097 * * [simplify]: Extracting #4: cost 221 inf + 2510 201.100 * * [simplify]: Extracting #5: cost 152 inf + 22300 201.115 * * [simplify]: Extracting #6: cost 30 inf + 116681 201.131 * * [simplify]: Extracting #7: cost 0 inf + 141118 201.147 * * [simplify]: Extracting #8: cost 0 inf + 140288 201.171 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 201.171 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (/ (- 1 k) 2)))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 201.171 * * * * [progress]: [ 302 / 463 ] simplifiying candidate # 201.171 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 201.172 * * [simplify]: iters left: 6 (18 enodes) 201.181 * * [simplify]: iters left: 5 (76 enodes) 201.207 * * [simplify]: iters left: 4 (132 enodes) 201.254 * * [simplify]: iters left: 3 (215 enodes) 201.314 * * [simplify]: iters left: 2 (364 enodes) 201.390 * * [simplify]: Extracting #0: cost 1 inf + 0 201.390 * * [simplify]: Extracting #1: cost 23 inf + 0 201.390 * * [simplify]: Extracting #2: cost 50 inf + 0 201.391 * * [simplify]: Extracting #3: cost 79 inf + 0 201.391 * * [simplify]: Extracting #4: cost 148 inf + 165 201.392 * * [simplify]: Extracting #5: cost 157 inf + 1659 201.395 * * [simplify]: Extracting #6: cost 94 inf + 23217 201.401 * * [simplify]: Extracting #7: cost 35 inf + 47647 201.413 * * [simplify]: Extracting #8: cost 0 inf + 72897 201.435 * * [simplify]: Extracting #9: cost 0 inf + 69713 201.453 * * [simplify]: Extracting #10: cost 0 inf + 69582 201.470 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (* (/ (cbrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))) 201.470 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (* (/ (cbrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 201.471 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 201.471 * * [simplify]: iters left: 6 (16 enodes) 201.476 * * [simplify]: iters left: 5 (64 enodes) 201.487 * * [simplify]: iters left: 4 (100 enodes) 201.503 * * [simplify]: iters left: 3 (146 enodes) 201.528 * * [simplify]: iters left: 2 (240 enodes) 201.590 * * [simplify]: iters left: 1 (470 enodes) 201.825 * * [simplify]: Extracting #0: cost 1 inf + 0 201.825 * * [simplify]: Extracting #1: cost 8 inf + 0 201.825 * * [simplify]: Extracting #2: cost 18 inf + 0 201.826 * * [simplify]: Extracting #3: cost 68 inf + 0 201.827 * * [simplify]: Extracting #4: cost 186 inf + 44 201.829 * * [simplify]: Extracting #5: cost 206 inf + 834 201.835 * * [simplify]: Extracting #6: cost 139 inf + 17339 201.854 * * [simplify]: Extracting #7: cost 32 inf + 84922 201.891 * * [simplify]: Extracting #8: cost 0 inf + 110738 201.923 * * [simplify]: Extracting #9: cost 0 inf + 106742 201.942 * * [simplify]: Extracting #10: cost 0 inf + 104197 201.961 * * [simplify]: Extracting #11: cost 0 inf + 104106 201.995 * [simplify]: Simplified to (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))))) 201.995 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))))))) 201.995 * * * * [progress]: [ 303 / 463 ] simplifiying candidate # 201.995 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 201.996 * * [simplify]: iters left: 6 (17 enodes) 202.005 * * [simplify]: iters left: 5 (69 enodes) 202.029 * * [simplify]: iters left: 4 (109 enodes) 202.064 * * [simplify]: iters left: 3 (175 enodes) 202.111 * * [simplify]: iters left: 2 (295 enodes) 202.184 * * [simplify]: Extracting #0: cost 1 inf + 0 202.184 * * [simplify]: Extracting #1: cost 16 inf + 0 202.184 * * [simplify]: Extracting #2: cost 33 inf + 0 202.184 * * [simplify]: Extracting #3: cost 63 inf + 0 202.184 * * [simplify]: Extracting #4: cost 129 inf + 165 202.185 * * [simplify]: Extracting #5: cost 128 inf + 2487 202.187 * * [simplify]: Extracting #6: cost 74 inf + 14584 202.192 * * [simplify]: Extracting #7: cost 17 inf + 42627 202.199 * * [simplify]: Extracting #8: cost 1 inf + 53430 202.206 * * [simplify]: Extracting #9: cost 0 inf + 53884 202.217 * [simplify]: Simplified to (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI 2) (- 1/2 (/ k 2)))))) 202.217 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI 2) (- 1/2 (/ k 2)))))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 202.218 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 202.218 * * [simplify]: iters left: 6 (16 enodes) 202.226 * * [simplify]: iters left: 5 (64 enodes) 202.244 * * [simplify]: iters left: 4 (101 enodes) 202.260 * * [simplify]: iters left: 3 (147 enodes) 202.295 * * [simplify]: iters left: 2 (241 enodes) 202.390 * * [simplify]: iters left: 1 (462 enodes) 202.581 * * [simplify]: Extracting #0: cost 1 inf + 0 202.581 * * [simplify]: Extracting #1: cost 8 inf + 0 202.581 * * [simplify]: Extracting #2: cost 19 inf + 0 202.581 * * [simplify]: Extracting #3: cost 66 inf + 0 202.583 * * [simplify]: Extracting #4: cost 175 inf + 165 202.585 * * [simplify]: Extracting #5: cost 193 inf + 1379 202.589 * * [simplify]: Extracting #6: cost 139 inf + 12969 202.603 * * [simplify]: Extracting #7: cost 59 inf + 54667 202.629 * * [simplify]: Extracting #8: cost 4 inf + 97734 202.658 * * [simplify]: Extracting #9: cost 0 inf + 98853 202.685 * * [simplify]: Extracting #10: cost 0 inf + 98652 202.706 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 202.706 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 202.706 * * * * [progress]: [ 304 / 463 ] simplifiying candidate # 202.707 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 202.707 * * [simplify]: iters left: 6 (13 enodes) 202.711 * * [simplify]: iters left: 5 (52 enodes) 202.720 * * [simplify]: iters left: 4 (91 enodes) 202.735 * * [simplify]: iters left: 3 (133 enodes) 202.779 * * [simplify]: iters left: 2 (209 enodes) 202.862 * * [simplify]: iters left: 1 (381 enodes) 203.014 * * [simplify]: Extracting #0: cost 1 inf + 0 203.014 * * [simplify]: Extracting #1: cost 12 inf + 0 203.015 * * [simplify]: Extracting #2: cost 22 inf + 1 203.015 * * [simplify]: Extracting #3: cost 52 inf + 1 203.016 * * [simplify]: Extracting #4: cost 122 inf + 166 203.017 * * [simplify]: Extracting #5: cost 146 inf + 1474 203.021 * * [simplify]: Extracting #6: cost 88 inf + 11525 203.033 * * [simplify]: Extracting #7: cost 18 inf + 44713 203.047 * * [simplify]: Extracting #8: cost 0 inf + 58842 203.059 * * [simplify]: Extracting #9: cost 0 inf + 57832 203.067 * [simplify]: Simplified to (/ (fabs (pow n (- 1/4 (/ k 4)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 203.067 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (fabs (pow n (- 1/4 (/ k 4)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 203.068 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 203.068 * * [simplify]: iters left: 6 (15 enodes) 203.073 * * [simplify]: iters left: 5 (61 enodes) 203.093 * * [simplify]: iters left: 4 (101 enodes) 203.126 * * [simplify]: iters left: 3 (168 enodes) 203.182 * * [simplify]: iters left: 2 (330 enodes) 203.274 * * [simplify]: Extracting #0: cost 1 inf + 0 203.274 * * [simplify]: Extracting #1: cost 51 inf + 0 203.275 * * [simplify]: Extracting #2: cost 155 inf + 0 203.275 * * [simplify]: Extracting #3: cost 219 inf + 2 203.277 * * [simplify]: Extracting #4: cost 212 inf + 8416 203.291 * * [simplify]: Extracting #5: cost 98 inf + 75068 203.310 * * [simplify]: Extracting #6: cost 9 inf + 148938 203.330 * * [simplify]: Extracting #7: cost 0 inf + 149616 203.356 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 203.356 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 203.356 * * * * [progress]: [ 305 / 463 ] simplifiying candidate # 203.356 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 203.356 * * [simplify]: iters left: 6 (17 enodes) 203.361 * * [simplify]: iters left: 5 (72 enodes) 203.376 * * [simplify]: iters left: 4 (123 enodes) 203.404 * * [simplify]: iters left: 3 (240 enodes) 203.512 * * [simplify]: Extracting #0: cost 1 inf + 0 203.512 * * [simplify]: Extracting #1: cost 31 inf + 0 203.513 * * [simplify]: Extracting #2: cost 105 inf + 0 203.514 * * [simplify]: Extracting #3: cost 158 inf + 1 203.515 * * [simplify]: Extracting #4: cost 161 inf + 1627 203.520 * * [simplify]: Extracting #5: cost 94 inf + 21232 203.532 * * [simplify]: Extracting #6: cost 39 inf + 48365 203.546 * * [simplify]: Extracting #7: cost 5 inf + 72669 203.557 * * [simplify]: Extracting #8: cost 0 inf + 75029 203.569 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI 2) (/ (- 1 k) 4)))) 203.569 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI 2) (/ (- 1 k) 4)))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 203.570 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 203.570 * * [simplify]: iters left: 6 (16 enodes) 203.574 * * [simplify]: iters left: 5 (67 enodes) 203.595 * * [simplify]: iters left: 4 (111 enodes) 203.631 * * [simplify]: iters left: 3 (192 enodes) 203.679 * * [simplify]: iters left: 2 (381 enodes) 203.819 * * [simplify]: Extracting #0: cost 1 inf + 0 203.820 * * [simplify]: Extracting #1: cost 49 inf + 0 203.820 * * [simplify]: Extracting #2: cost 152 inf + 0 203.822 * * [simplify]: Extracting #3: cost 225 inf + 2 203.825 * * [simplify]: Extracting #4: cost 219 inf + 7289 203.847 * * [simplify]: Extracting #5: cost 93 inf + 71599 203.879 * * [simplify]: Extracting #6: cost 3 inf + 143156 203.914 * * [simplify]: Extracting #7: cost 0 inf + 143850 203.949 * * [simplify]: Extracting #8: cost 0 inf + 143719 203.984 * [simplify]: Simplified to (/ (* (sqrt (pow n (/ (- 1 k) 2))) (pow (* 2 PI) (/ (- 1 k) 4))) (cbrt (sqrt k))) 203.984 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (/ (* (sqrt (pow n (/ (- 1 k) 2))) (pow (* 2 PI) (/ (- 1 k) 4))) (cbrt (sqrt k))))) 203.984 * * * * [progress]: [ 306 / 463 ] simplifiying candidate # 203.984 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow 2 (/ (- 1 k) 2)))) 203.984 * * [simplify]: iters left: 6 (14 enodes) 203.992 * * [simplify]: iters left: 5 (58 enodes) 204.015 * * [simplify]: iters left: 4 (98 enodes) 204.046 * * [simplify]: iters left: 3 (161 enodes) 204.108 * * [simplify]: iters left: 2 (322 enodes) 204.218 * * [simplify]: Extracting #0: cost 1 inf + 0 204.218 * * [simplify]: Extracting #1: cost 44 inf + 0 204.219 * * [simplify]: Extracting #2: cost 149 inf + 0 204.219 * * [simplify]: Extracting #3: cost 209 inf + 3 204.221 * * [simplify]: Extracting #4: cost 200 inf + 9397 204.226 * * [simplify]: Extracting #5: cost 109 inf + 47433 204.245 * * [simplify]: Extracting #6: cost 16 inf + 119214 204.276 * * [simplify]: Extracting #7: cost 0 inf + 132525 204.306 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (fabs (cbrt k)) (pow 2 (/ (- 1 k) 2)))) 204.306 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (fabs (cbrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))))) 204.307 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))) 204.307 * * [simplify]: iters left: 6 (14 enodes) 204.314 * * [simplify]: iters left: 5 (57 enodes) 204.334 * * [simplify]: iters left: 4 (97 enodes) 204.358 * * [simplify]: iters left: 3 (160 enodes) 204.390 * * [simplify]: iters left: 2 (320 enodes) 204.503 * * [simplify]: Extracting #0: cost 1 inf + 0 204.503 * * [simplify]: Extracting #1: cost 50 inf + 0 204.504 * * [simplify]: Extracting #2: cost 153 inf + 0 204.506 * * [simplify]: Extracting #3: cost 215 inf + 3 204.508 * * [simplify]: Extracting #4: cost 221 inf + 2550 204.514 * * [simplify]: Extracting #5: cost 152 inf + 22380 204.536 * * [simplify]: Extracting #6: cost 30 inf + 116761 204.570 * * [simplify]: Extracting #7: cost 0 inf + 141198 204.607 * * [simplify]: Extracting #8: cost 0 inf + 140368 204.624 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))) 204.624 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (fabs (cbrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))))) 204.624 * * * * [progress]: [ 307 / 463 ] simplifiying candidate # 204.624 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 204.624 * * [simplify]: iters left: 6 (18 enodes) 204.629 * * [simplify]: iters left: 5 (73 enodes) 204.648 * * [simplify]: iters left: 4 (111 enodes) 204.685 * * [simplify]: iters left: 3 (170 enodes) 204.723 * * [simplify]: iters left: 2 (292 enodes) 204.808 * * [simplify]: Extracting #0: cost 1 inf + 0 204.809 * * [simplify]: Extracting #1: cost 15 inf + 0 204.809 * * [simplify]: Extracting #2: cost 30 inf + 0 204.809 * * [simplify]: Extracting #3: cost 59 inf + 0 204.810 * * [simplify]: Extracting #4: cost 128 inf + 286 204.811 * * [simplify]: Extracting #5: cost 134 inf + 2282 204.816 * * [simplify]: Extracting #6: cost 74 inf + 18239 204.829 * * [simplify]: Extracting #7: cost 22 inf + 41955 204.842 * * [simplify]: Extracting #8: cost 0 inf + 56778 204.849 * * [simplify]: Extracting #9: cost 0 inf + 56249 204.856 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (fabs (cbrt k)) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))) 204.856 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (fabs (cbrt k)) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 204.856 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 204.856 * * [simplify]: iters left: 6 (16 enodes) 204.861 * * [simplify]: iters left: 5 (64 enodes) 204.875 * * [simplify]: iters left: 4 (100 enodes) 204.907 * * [simplify]: iters left: 3 (146 enodes) 204.960 * * [simplify]: iters left: 2 (240 enodes) 205.054 * * [simplify]: iters left: 1 (470 enodes) 205.245 * * [simplify]: Extracting #0: cost 1 inf + 0 205.245 * * [simplify]: Extracting #1: cost 8 inf + 0 205.245 * * [simplify]: Extracting #2: cost 18 inf + 0 205.245 * * [simplify]: Extracting #3: cost 68 inf + 0 205.246 * * [simplify]: Extracting #4: cost 186 inf + 84 205.248 * * [simplify]: Extracting #5: cost 206 inf + 914 205.254 * * [simplify]: Extracting #6: cost 139 inf + 17419 205.275 * * [simplify]: Extracting #7: cost 32 inf + 85002 205.291 * * [simplify]: Extracting #8: cost 0 inf + 110818 205.312 * * [simplify]: Extracting #9: cost 0 inf + 106822 205.337 * * [simplify]: Extracting #10: cost 0 inf + 104277 205.354 * * [simplify]: Extracting #11: cost 0 inf + 104186 205.383 * [simplify]: Simplified to (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))))) 205.383 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))))))) 205.383 * * * * [progress]: [ 308 / 463 ] simplifiying candidate # 205.384 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 205.384 * * [simplify]: iters left: 6 (17 enodes) 205.395 * * [simplify]: iters left: 5 (68 enodes) 205.417 * * [simplify]: iters left: 4 (101 enodes) 205.446 * * [simplify]: iters left: 3 (152 enodes) 205.485 * * [simplify]: iters left: 2 (269 enodes) 205.562 * * [simplify]: iters left: 1 (499 enodes) 205.833 * * [simplify]: Extracting #0: cost 1 inf + 0 205.833 * * [simplify]: Extracting #1: cost 8 inf + 0 205.833 * * [simplify]: Extracting #2: cost 20 inf + 0 205.834 * * [simplify]: Extracting #3: cost 75 inf + 0 205.834 * * [simplify]: Extracting #4: cost 191 inf + 84 205.835 * * [simplify]: Extracting #5: cost 226 inf + 1872 205.840 * * [simplify]: Extracting #6: cost 133 inf + 25527 205.859 * * [simplify]: Extracting #7: cost 26 inf + 89383 205.892 * * [simplify]: Extracting #8: cost 0 inf + 110879 205.925 * * [simplify]: Extracting #9: cost 0 inf + 109863 205.958 * * [simplify]: Extracting #10: cost 0 inf + 109321 205.991 * [simplify]: Simplified to (/ (sqrt (pow n (* 1/2 (- 1 k)))) (/ (fabs (cbrt k)) (sqrt (pow (* PI 2) (* 1/2 (- 1 k)))))) 205.992 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow n (* 1/2 (- 1 k)))) (/ (fabs (cbrt k)) (sqrt (pow (* PI 2) (* 1/2 (- 1 k)))))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 205.992 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 205.992 * * [simplify]: iters left: 6 (16 enodes) 206.000 * * [simplify]: iters left: 5 (64 enodes) 206.019 * * [simplify]: iters left: 4 (101 enodes) 206.037 * * [simplify]: iters left: 3 (147 enodes) 206.063 * * [simplify]: iters left: 2 (241 enodes) 206.133 * * [simplify]: iters left: 1 (462 enodes) 206.329 * * [simplify]: Extracting #0: cost 1 inf + 0 206.329 * * [simplify]: Extracting #1: cost 8 inf + 0 206.329 * * [simplify]: Extracting #2: cost 19 inf + 0 206.330 * * [simplify]: Extracting #3: cost 66 inf + 0 206.331 * * [simplify]: Extracting #4: cost 175 inf + 205 206.333 * * [simplify]: Extracting #5: cost 193 inf + 1459 206.338 * * [simplify]: Extracting #6: cost 139 inf + 13049 206.348 * * [simplify]: Extracting #7: cost 59 inf + 54747 206.362 * * [simplify]: Extracting #8: cost 4 inf + 97814 206.376 * * [simplify]: Extracting #9: cost 0 inf + 98933 206.398 * * [simplify]: Extracting #10: cost 0 inf + 98732 206.414 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 206.414 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 206.414 * * * * [progress]: [ 309 / 463 ] simplifiying candidate # 206.414 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (* (cbrt k) (cbrt k))) 1)) 206.414 * * [simplify]: iters left: 6 (13 enodes) 206.420 * * [simplify]: iters left: 5 (50 enodes) 206.429 * * [simplify]: iters left: 4 (80 enodes) 206.449 * * [simplify]: iters left: 3 (115 enodes) 206.487 * * [simplify]: iters left: 2 (185 enodes) 206.526 * * [simplify]: iters left: 1 (347 enodes) 206.650 * * [simplify]: Extracting #0: cost 1 inf + 0 206.650 * * [simplify]: Extracting #1: cost 8 inf + 0 206.650 * * [simplify]: Extracting #2: cost 15 inf + 1 206.650 * * [simplify]: Extracting #3: cost 41 inf + 1 206.651 * * [simplify]: Extracting #4: cost 116 inf + 287 206.651 * * [simplify]: Extracting #5: cost 131 inf + 1313 206.653 * * [simplify]: Extracting #6: cost 94 inf + 7377 206.657 * * [simplify]: Extracting #7: cost 33 inf + 26582 206.668 * * [simplify]: Extracting #8: cost 2 inf + 49380 206.685 * * [simplify]: Extracting #9: cost 0 inf + 50125 206.701 * * [simplify]: Extracting #10: cost 0 inf + 49794 206.717 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (fabs (cbrt k))) 206.717 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (fabs (cbrt k))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 206.717 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 206.718 * * [simplify]: iters left: 6 (15 enodes) 206.726 * * [simplify]: iters left: 5 (61 enodes) 206.737 * * [simplify]: iters left: 4 (101 enodes) 206.762 * * [simplify]: iters left: 3 (168 enodes) 206.825 * * [simplify]: iters left: 2 (330 enodes) 206.957 * * [simplify]: Extracting #0: cost 1 inf + 0 206.957 * * [simplify]: Extracting #1: cost 51 inf + 0 206.958 * * [simplify]: Extracting #2: cost 155 inf + 0 206.959 * * [simplify]: Extracting #3: cost 219 inf + 2 206.960 * * [simplify]: Extracting #4: cost 212 inf + 8456 206.973 * * [simplify]: Extracting #5: cost 98 inf + 75148 207.005 * * [simplify]: Extracting #6: cost 9 inf + 149018 207.023 * * [simplify]: Extracting #7: cost 0 inf + 149696 207.050 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 207.050 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (fabs (cbrt k))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 207.050 * * * * [progress]: [ 310 / 463 ] simplifiying candidate # 207.050 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 207.051 * * [simplify]: iters left: 6 (17 enodes) 207.060 * * [simplify]: iters left: 5 (71 enodes) 207.075 * * [simplify]: iters left: 4 (112 enodes) 207.097 * * [simplify]: iters left: 3 (192 enodes) 207.150 * * [simplify]: iters left: 2 (396 enodes) 207.291 * * [simplify]: Extracting #0: cost 1 inf + 0 207.292 * * [simplify]: Extracting #1: cost 42 inf + 0 207.292 * * [simplify]: Extracting #2: cost 144 inf + 0 207.293 * * [simplify]: Extracting #3: cost 225 inf + 2 207.295 * * [simplify]: Extracting #4: cost 222 inf + 7095 207.302 * * [simplify]: Extracting #5: cost 108 inf + 63221 207.318 * * [simplify]: Extracting #6: cost 6 inf + 136726 207.336 * * [simplify]: Extracting #7: cost 0 inf + 139212 207.360 * * [simplify]: Extracting #8: cost 0 inf + 138819 207.397 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (fabs (cbrt k)) (pow (* PI 2) (/ (- 1 k) 4)))) 207.397 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (fabs (cbrt k)) (pow (* PI 2) (/ (- 1 k) 4)))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 207.398 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 207.398 * * [simplify]: iters left: 6 (16 enodes) 207.408 * * [simplify]: iters left: 5 (67 enodes) 207.431 * * [simplify]: iters left: 4 (111 enodes) 207.468 * * [simplify]: iters left: 3 (192 enodes) 207.516 * * [simplify]: iters left: 2 (381 enodes) 207.664 * * [simplify]: Extracting #0: cost 1 inf + 0 207.664 * * [simplify]: Extracting #1: cost 49 inf + 0 207.665 * * [simplify]: Extracting #2: cost 152 inf + 0 207.666 * * [simplify]: Extracting #3: cost 225 inf + 2 207.669 * * [simplify]: Extracting #4: cost 219 inf + 7329 207.685 * * [simplify]: Extracting #5: cost 93 inf + 71679 207.702 * * [simplify]: Extracting #6: cost 3 inf + 143236 207.725 * * [simplify]: Extracting #7: cost 0 inf + 143930 207.761 * * [simplify]: Extracting #8: cost 0 inf + 143799 207.799 * [simplify]: Simplified to (/ (* (sqrt (pow n (/ (- 1 k) 2))) (pow (* 2 PI) (/ (- 1 k) 4))) (sqrt (cbrt k))) 207.799 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (/ (* (sqrt (pow n (/ (- 1 k) 2))) (pow (* 2 PI) (/ (- 1 k) 4))) (sqrt (cbrt k))))) 207.799 * * * * [progress]: [ 311 / 463 ] simplifiying candidate # 207.800 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 207.800 * * [simplify]: iters left: 6 (13 enodes) 207.807 * * [simplify]: iters left: 5 (54 enodes) 207.825 * * [simplify]: iters left: 4 (94 enodes) 207.856 * * [simplify]: iters left: 3 (157 enodes) 207.916 * * [simplify]: iters left: 2 (318 enodes) 208.050 * * [simplify]: Extracting #0: cost 1 inf + 0 208.050 * * [simplify]: Extracting #1: cost 53 inf + 0 208.050 * * [simplify]: Extracting #2: cost 152 inf + 0 208.051 * * [simplify]: Extracting #3: cost 212 inf + 3 208.052 * * [simplify]: Extracting #4: cost 209 inf + 5867 208.060 * * [simplify]: Extracting #5: cost 136 inf + 32247 208.080 * * [simplify]: Extracting #6: cost 22 inf + 117560 208.096 * * [simplify]: Extracting #7: cost 0 inf + 135627 208.117 * * [simplify]: Extracting #8: cost 0 inf + 134748 208.133 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 208.134 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 208.134 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 208.134 * * [simplify]: iters left: 6 (14 enodes) 208.138 * * [simplify]: iters left: 5 (57 enodes) 208.157 * * [simplify]: iters left: 4 (97 enodes) 208.189 * * [simplify]: iters left: 3 (160 enodes) 208.234 * * [simplify]: iters left: 2 (320 enodes) 208.343 * * [simplify]: Extracting #0: cost 1 inf + 0 208.343 * * [simplify]: Extracting #1: cost 50 inf + 0 208.343 * * [simplify]: Extracting #2: cost 153 inf + 0 208.344 * * [simplify]: Extracting #3: cost 215 inf + 3 208.345 * * [simplify]: Extracting #4: cost 221 inf + 2510 208.348 * * [simplify]: Extracting #5: cost 152 inf + 21860 208.363 * * [simplify]: Extracting #6: cost 30 inf + 114281 208.395 * * [simplify]: Extracting #7: cost 0 inf + 138118 208.429 * * [simplify]: Extracting #8: cost 0 inf + 137288 208.463 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 208.463 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 208.464 * * * * [progress]: [ 312 / 463 ] simplifiying candidate # 208.464 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 208.464 * * [simplify]: iters left: 6 (17 enodes) 208.473 * * [simplify]: iters left: 5 (69 enodes) 208.496 * * [simplify]: iters left: 4 (107 enodes) 208.533 * * [simplify]: iters left: 3 (166 enodes) 208.578 * * [simplify]: iters left: 2 (288 enodes) 208.654 * * [simplify]: Extracting #0: cost 1 inf + 0 208.654 * * [simplify]: Extracting #1: cost 15 inf + 0 208.654 * * [simplify]: Extracting #2: cost 29 inf + 0 208.655 * * [simplify]: Extracting #3: cost 56 inf + 0 208.655 * * [simplify]: Extracting #4: cost 131 inf + 125 208.656 * * [simplify]: Extracting #5: cost 137 inf + 2334 208.660 * * [simplify]: Extracting #6: cost 84 inf + 13862 208.669 * * [simplify]: Extracting #7: cost 29 inf + 40524 208.682 * * [simplify]: Extracting #8: cost 3 inf + 58648 208.697 * * [simplify]: Extracting #9: cost 0 inf + 60409 208.711 * * [simplify]: Extracting #10: cost 0 inf + 60368 208.726 * [simplify]: Simplified to (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2))))))) 208.726 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2))))))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 208.726 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 208.726 * * [simplify]: iters left: 6 (16 enodes) 208.735 * * [simplify]: iters left: 5 (64 enodes) 208.756 * * [simplify]: iters left: 4 (100 enodes) 208.791 * * [simplify]: iters left: 3 (146 enodes) 208.820 * * [simplify]: iters left: 2 (240 enodes) 208.884 * * [simplify]: iters left: 1 (470 enodes) 209.108 * * [simplify]: Extracting #0: cost 1 inf + 0 209.108 * * [simplify]: Extracting #1: cost 8 inf + 0 209.108 * * [simplify]: Extracting #2: cost 18 inf + 0 209.108 * * [simplify]: Extracting #3: cost 68 inf + 0 209.109 * * [simplify]: Extracting #4: cost 186 inf + 44 209.110 * * [simplify]: Extracting #5: cost 206 inf + 754 209.113 * * [simplify]: Extracting #6: cost 139 inf + 17139 209.123 * * [simplify]: Extracting #7: cost 32 inf + 84602 209.140 * * [simplify]: Extracting #8: cost 0 inf + 110418 209.171 * * [simplify]: Extracting #9: cost 0 inf + 106422 209.208 * * [simplify]: Extracting #10: cost 0 inf + 103877 209.241 * * [simplify]: Extracting #11: cost 0 inf + 103786 209.274 * [simplify]: Simplified to (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))))) 209.274 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))))))) 209.275 * * * * [progress]: [ 313 / 463 ] simplifiying candidate # 209.275 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 209.275 * * [simplify]: iters left: 6 (16 enodes) 209.284 * * [simplify]: iters left: 5 (64 enodes) 209.305 * * [simplify]: iters left: 4 (101 enodes) 209.337 * * [simplify]: iters left: 3 (147 enodes) 209.366 * * [simplify]: iters left: 2 (241 enodes) 209.443 * * [simplify]: iters left: 1 (462 enodes) 209.626 * * [simplify]: Extracting #0: cost 1 inf + 0 209.626 * * [simplify]: Extracting #1: cost 8 inf + 0 209.626 * * [simplify]: Extracting #2: cost 19 inf + 0 209.627 * * [simplify]: Extracting #3: cost 66 inf + 0 209.628 * * [simplify]: Extracting #4: cost 175 inf + 125 209.630 * * [simplify]: Extracting #5: cost 193 inf + 1299 209.634 * * [simplify]: Extracting #6: cost 139 inf + 12809 209.644 * * [simplify]: Extracting #7: cost 59 inf + 54347 209.660 * * [simplify]: Extracting #8: cost 4 inf + 97414 209.679 * * [simplify]: Extracting #9: cost 0 inf + 98533 209.708 * * [simplify]: Extracting #10: cost 0 inf + 98332 209.736 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 209.736 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 209.737 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 209.737 * * [simplify]: iters left: 6 (16 enodes) 209.746 * * [simplify]: iters left: 5 (64 enodes) 209.763 * * [simplify]: iters left: 4 (101 enodes) 209.779 * * [simplify]: iters left: 3 (147 enodes) 209.827 * * [simplify]: iters left: 2 (241 enodes) 209.894 * * [simplify]: iters left: 1 (462 enodes) 210.097 * * [simplify]: Extracting #0: cost 1 inf + 0 210.097 * * [simplify]: Extracting #1: cost 8 inf + 0 210.098 * * [simplify]: Extracting #2: cost 19 inf + 0 210.098 * * [simplify]: Extracting #3: cost 66 inf + 0 210.099 * * [simplify]: Extracting #4: cost 175 inf + 125 210.101 * * [simplify]: Extracting #5: cost 193 inf + 1299 210.106 * * [simplify]: Extracting #6: cost 139 inf + 12809 210.117 * * [simplify]: Extracting #7: cost 59 inf + 54347 210.131 * * [simplify]: Extracting #8: cost 4 inf + 97414 210.148 * * [simplify]: Extracting #9: cost 0 inf + 98533 210.165 * * [simplify]: Extracting #10: cost 0 inf + 98332 210.179 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 210.179 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 210.179 * * * * [progress]: [ 314 / 463 ] simplifiying candidate # 210.179 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) 1)) 210.179 * * [simplify]: iters left: 6 (12 enodes) 210.183 * * [simplify]: iters left: 5 (47 enodes) 210.192 * * [simplify]: iters left: 4 (75 enodes) 210.207 * * [simplify]: iters left: 3 (109 enodes) 210.231 * * [simplify]: iters left: 2 (179 enodes) 210.272 * * [simplify]: iters left: 1 (345 enodes) 210.403 * * [simplify]: Extracting #0: cost 1 inf + 0 210.403 * * [simplify]: Extracting #1: cost 6 inf + 0 210.403 * * [simplify]: Extracting #2: cost 11 inf + 1 210.403 * * [simplify]: Extracting #3: cost 36 inf + 1 210.403 * * [simplify]: Extracting #4: cost 111 inf + 45 210.404 * * [simplify]: Extracting #5: cost 130 inf + 1299 210.406 * * [simplify]: Extracting #6: cost 84 inf + 8739 210.410 * * [simplify]: Extracting #7: cost 38 inf + 26037 210.416 * * [simplify]: Extracting #8: cost 12 inf + 43352 210.426 * * [simplify]: Extracting #9: cost 0 inf + 51513 210.442 * * [simplify]: Extracting #10: cost 0 inf + 51474 210.458 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (sqrt (sqrt k))) 210.458 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 210.458 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 210.458 * * [simplify]: iters left: 6 (15 enodes) 210.462 * * [simplify]: iters left: 5 (61 enodes) 210.473 * * [simplify]: iters left: 4 (101 enodes) 210.493 * * [simplify]: iters left: 3 (168 enodes) 210.546 * * [simplify]: iters left: 2 (330 enodes) 210.649 * * [simplify]: Extracting #0: cost 1 inf + 0 210.649 * * [simplify]: Extracting #1: cost 51 inf + 0 210.650 * * [simplify]: Extracting #2: cost 155 inf + 0 210.650 * * [simplify]: Extracting #3: cost 219 inf + 2 210.652 * * [simplify]: Extracting #4: cost 212 inf + 8096 210.659 * * [simplify]: Extracting #5: cost 98 inf + 73588 210.691 * * [simplify]: Extracting #6: cost 9 inf + 146098 210.725 * * [simplify]: Extracting #7: cost 0 inf + 146576 210.747 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 210.747 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 210.748 * * * * [progress]: [ 315 / 463 ] simplifiying candidate # 210.748 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 210.748 * * [simplify]: iters left: 6 (16 enodes) 210.753 * * [simplify]: iters left: 5 (67 enodes) 210.765 * * [simplify]: iters left: 4 (111 enodes) 210.785 * * [simplify]: iters left: 3 (192 enodes) 210.832 * * [simplify]: iters left: 2 (381 enodes) 210.969 * * [simplify]: Extracting #0: cost 1 inf + 0 210.969 * * [simplify]: Extracting #1: cost 49 inf + 0 210.970 * * [simplify]: Extracting #2: cost 152 inf + 0 210.970 * * [simplify]: Extracting #3: cost 225 inf + 2 210.972 * * [simplify]: Extracting #4: cost 219 inf + 7129 210.980 * * [simplify]: Extracting #5: cost 93 inf + 70239 211.004 * * [simplify]: Extracting #6: cost 3 inf + 140316 211.039 * * [simplify]: Extracting #7: cost 0 inf + 140970 211.074 * * [simplify]: Extracting #8: cost 0 inf + 140839 211.110 * [simplify]: Simplified to (/ (* (sqrt (pow n (/ (- 1 k) 2))) (pow (* 2 PI) (/ (- 1 k) 4))) (sqrt (sqrt k))) 211.110 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt (pow n (/ (- 1 k) 2))) (pow (* 2 PI) (/ (- 1 k) 4))) (sqrt (sqrt k))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 211.110 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 211.111 * * [simplify]: iters left: 6 (16 enodes) 211.120 * * [simplify]: iters left: 5 (67 enodes) 211.142 * * [simplify]: iters left: 4 (111 enodes) 211.163 * * [simplify]: iters left: 3 (192 enodes) 211.214 * * [simplify]: iters left: 2 (381 enodes) 211.331 * * [simplify]: Extracting #0: cost 1 inf + 0 211.331 * * [simplify]: Extracting #1: cost 49 inf + 0 211.331 * * [simplify]: Extracting #2: cost 152 inf + 0 211.332 * * [simplify]: Extracting #3: cost 225 inf + 2 211.333 * * [simplify]: Extracting #4: cost 219 inf + 7129 211.344 * * [simplify]: Extracting #5: cost 93 inf + 70239 211.361 * * [simplify]: Extracting #6: cost 3 inf + 140316 211.391 * * [simplify]: Extracting #7: cost 0 inf + 140970 211.409 * * [simplify]: Extracting #8: cost 0 inf + 140839 211.427 * [simplify]: Simplified to (/ (* (sqrt (pow n (/ (- 1 k) 2))) (pow (* 2 PI) (/ (- 1 k) 4))) (sqrt (sqrt k))) 211.427 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (/ (* (sqrt (pow n (/ (- 1 k) 2))) (pow (* 2 PI) (/ (- 1 k) 4))) (sqrt (sqrt k))))) 211.427 * * * * [progress]: [ 316 / 463 ] simplifiying candidate # 211.427 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt 1) (pow 2 (/ (- 1 k) 2)))) 211.428 * * [simplify]: iters left: 6 (12 enodes) 211.435 * * [simplify]: iters left: 5 (51 enodes) 211.454 * * [simplify]: iters left: 4 (85 enodes) 211.484 * * [simplify]: iters left: 3 (152 enodes) 211.543 * * [simplify]: iters left: 2 (318 enodes) 211.663 * * [simplify]: Extracting #0: cost 1 inf + 0 211.663 * * [simplify]: Extracting #1: cost 51 inf + 0 211.664 * * [simplify]: Extracting #2: cost 136 inf + 1 211.665 * * [simplify]: Extracting #3: cost 186 inf + 4 211.667 * * [simplify]: Extracting #4: cost 209 inf + 12 211.669 * * [simplify]: Extracting #5: cost 180 inf + 5602 211.679 * * [simplify]: Extracting #6: cost 92 inf + 41111 211.702 * * [simplify]: Extracting #7: cost 7 inf + 98821 211.732 * * [simplify]: Extracting #8: cost 0 inf + 103419 211.758 * * [simplify]: Extracting #9: cost 0 inf + 102989 211.785 * [simplify]: Simplified to (* (pow 2 (/ (- 1 k) 2)) (sqrt (pow n (/ (- 1 k) 2)))) 211.785 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow 2 (/ (- 1 k) 2)) (sqrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 211.785 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 211.786 * * [simplify]: iters left: 6 (13 enodes) 211.792 * * [simplify]: iters left: 5 (54 enodes) 211.803 * * [simplify]: iters left: 4 (94 enodes) 211.820 * * [simplify]: iters left: 3 (157 enodes) 211.863 * * [simplify]: iters left: 2 (318 enodes) 211.973 * * [simplify]: Extracting #0: cost 1 inf + 0 211.973 * * [simplify]: Extracting #1: cost 53 inf + 0 211.974 * * [simplify]: Extracting #2: cost 152 inf + 0 211.974 * * [simplify]: Extracting #3: cost 209 inf + 45 211.976 * * [simplify]: Extracting #4: cost 206 inf + 5505 211.980 * * [simplify]: Extracting #5: cost 122 inf + 41915 211.993 * * [simplify]: Extracting #6: cost 7 inf + 128414 212.008 * * [simplify]: Extracting #7: cost 0 inf + 132618 212.031 * * [simplify]: Extracting #8: cost 0 inf + 131739 212.066 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 212.066 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow 2 (/ (- 1 k) 2)) (sqrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 212.066 * * * * [progress]: [ 317 / 463 ] simplifiying candidate # 212.067 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt 1) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 212.067 * * [simplify]: iters left: 6 (16 enodes) 212.075 * * [simplify]: iters left: 5 (66 enodes) 212.097 * * [simplify]: iters left: 4 (109 enodes) 212.117 * * [simplify]: iters left: 3 (176 enodes) 212.156 * * [simplify]: iters left: 2 (290 enodes) 212.234 * * [simplify]: Extracting #0: cost 1 inf + 0 212.235 * * [simplify]: Extracting #1: cost 16 inf + 0 212.235 * * [simplify]: Extracting #2: cost 26 inf + 1 212.235 * * [simplify]: Extracting #3: cost 53 inf + 1 212.236 * * [simplify]: Extracting #4: cost 121 inf + 3 212.237 * * [simplify]: Extracting #5: cost 145 inf + 9 212.238 * * [simplify]: Extracting #6: cost 132 inf + 1354 212.240 * * [simplify]: Extracting #7: cost 86 inf + 10231 212.250 * * [simplify]: Extracting #8: cost 23 inf + 38378 212.258 * * [simplify]: Extracting #9: cost 0 inf + 53320 212.267 * * [simplify]: Extracting #10: cost 0 inf + 53230 212.274 * [simplify]: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (* (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))))) 212.274 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (* (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 212.274 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 212.274 * * [simplify]: iters left: 6 (15 enodes) 212.278 * * [simplify]: iters left: 5 (61 enodes) 212.289 * * [simplify]: iters left: 4 (97 enodes) 212.321 * * [simplify]: iters left: 3 (147 enodes) 212.370 * * [simplify]: iters left: 2 (246 enodes) 212.467 * * [simplify]: iters left: 1 (462 enodes) 212.682 * * [simplify]: Extracting #0: cost 1 inf + 0 212.682 * * [simplify]: Extracting #1: cost 8 inf + 0 212.682 * * [simplify]: Extracting #2: cost 18 inf + 0 212.682 * * [simplify]: Extracting #3: cost 66 inf + 83 212.683 * * [simplify]: Extracting #4: cost 182 inf + 85 212.684 * * [simplify]: Extracting #5: cost 191 inf + 3852 212.689 * * [simplify]: Extracting #6: cost 100 inf + 39462 212.701 * * [simplify]: Extracting #7: cost 20 inf + 88458 212.720 * * [simplify]: Extracting #8: cost 0 inf + 106513 212.734 * * [simplify]: Extracting #9: cost 0 inf + 105804 212.756 * [simplify]: Simplified to (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))))) 212.756 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt 1) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))))))) 212.757 * * * * [progress]: [ 318 / 463 ] simplifiying candidate # 212.757 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 212.758 * * [simplify]: iters left: 6 (15 enodes) 212.767 * * [simplify]: iters left: 5 (61 enodes) 212.788 * * [simplify]: iters left: 4 (96 enodes) 212.813 * * [simplify]: iters left: 3 (145 enodes) 212.845 * * [simplify]: iters left: 2 (241 enodes) 212.903 * * [simplify]: iters left: 1 (472 enodes) 213.062 * * [simplify]: Extracting #0: cost 1 inf + 0 213.062 * * [simplify]: Extracting #1: cost 7 inf + 0 213.062 * * [simplify]: Extracting #2: cost 14 inf + 1 213.062 * * [simplify]: Extracting #3: cost 63 inf + 1 213.063 * * [simplify]: Extracting #4: cost 172 inf + 3 213.065 * * [simplify]: Extracting #5: cost 214 inf + 10 213.068 * * [simplify]: Extracting #6: cost 178 inf + 5939 213.076 * * [simplify]: Extracting #7: cost 98 inf + 27802 213.099 * * [simplify]: Extracting #8: cost 18 inf + 81530 213.124 * * [simplify]: Extracting #9: cost 0 inf + 96061 213.149 * * [simplify]: Extracting #10: cost 0 inf + 95639 213.175 * [simplify]: Simplified to (* (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt (pow n (- 1/2 (/ k 2))))) 213.175 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 213.175 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 213.176 * * [simplify]: iters left: 6 (15 enodes) 213.183 * * [simplify]: iters left: 5 (61 enodes) 213.204 * * [simplify]: iters left: 4 (98 enodes) 213.232 * * [simplify]: iters left: 3 (144 enodes) 213.257 * * [simplify]: iters left: 2 (238 enodes) 213.306 * * [simplify]: iters left: 1 (464 enodes) 213.490 * * [simplify]: Extracting #0: cost 1 inf + 0 213.490 * * [simplify]: Extracting #1: cost 8 inf + 0 213.490 * * [simplify]: Extracting #2: cost 19 inf + 0 213.491 * * [simplify]: Extracting #3: cost 62 inf + 83 213.492 * * [simplify]: Extracting #4: cost 181 inf + 85 213.499 * * [simplify]: Extracting #5: cost 193 inf + 3474 213.508 * * [simplify]: Extracting #6: cost 107 inf + 35521 213.532 * * [simplify]: Extracting #7: cost 12 inf + 95655 213.563 * * [simplify]: Extracting #8: cost 0 inf + 105403 213.584 * * [simplify]: Extracting #9: cost 0 inf + 104039 213.600 * * [simplify]: Extracting #10: cost 0 inf + 102956 213.622 * * [simplify]: Extracting #11: cost 0 inf + 102128 213.656 * * [simplify]: Extracting #12: cost 0 inf + 101065 213.675 * [simplify]: Simplified to (/ (* (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt (pow n (- 1/2 (/ k 2))))) (sqrt k)) 213.675 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (* (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt (pow n (- 1/2 (/ k 2))))) (sqrt k)))) 213.676 * * * * [progress]: [ 319 / 463 ] simplifiying candidate # 213.676 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt 1) 1)) 213.676 * * [simplify]: iters left: 6 (11 enodes) 213.680 * * [simplify]: iters left: 5 (44 enodes) 213.688 * * [simplify]: iters left: 4 (70 enodes) 213.700 * * [simplify]: iters left: 3 (108 enodes) 213.720 * * [simplify]: iters left: 2 (179 enodes) 213.758 * * [simplify]: iters left: 1 (338 enodes) 213.859 * * [simplify]: Extracting #0: cost 1 inf + 0 213.859 * * [simplify]: Extracting #1: cost 6 inf + 0 213.860 * * [simplify]: Extracting #2: cost 35 inf + 1 213.860 * * [simplify]: Extracting #3: cost 111 inf + 3 213.860 * * [simplify]: Extracting #4: cost 151 inf + 9 213.861 * * [simplify]: Extracting #5: cost 137 inf + 1304 213.863 * * [simplify]: Extracting #6: cost 71 inf + 11372 213.869 * * [simplify]: Extracting #7: cost 23 inf + 37415 213.880 * * [simplify]: Extracting #8: cost 0 inf + 54342 213.901 * * [simplify]: Extracting #9: cost 0 inf + 54022 213.918 * [simplify]: Simplified to (fabs (pow n (/ (- 1 k) 4))) 213.918 * [simplify]: Simplified (2 1) to (λ (k n) (* (fabs (pow n (/ (- 1 k) 4))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 213.919 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 213.919 * * [simplify]: iters left: 6 (14 enodes) 213.928 * * [simplify]: iters left: 5 (58 enodes) 213.947 * * [simplify]: iters left: 4 (98 enodes) 213.979 * * [simplify]: iters left: 3 (161 enodes) 214.041 * * [simplify]: iters left: 2 (322 enodes) 214.136 * * [simplify]: Extracting #0: cost 1 inf + 0 214.136 * * [simplify]: Extracting #1: cost 44 inf + 0 214.136 * * [simplify]: Extracting #2: cost 148 inf + 0 214.137 * * [simplify]: Extracting #3: cost 207 inf + 85 214.139 * * [simplify]: Extracting #4: cost 189 inf + 10980 214.143 * * [simplify]: Extracting #5: cost 120 inf + 38444 214.160 * * [simplify]: Extracting #6: cost 22 inf + 114518 214.187 * * [simplify]: Extracting #7: cost 0 inf + 133156 214.214 * * [simplify]: Extracting #8: cost 0 inf + 132632 214.242 * [simplify]: Simplified to (/ (* (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (pow n (/ (- 1 k) 2)))) (sqrt k)) 214.243 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt 1) 1)) (/ (* (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (pow n (/ (- 1 k) 2)))) (sqrt k)))) 214.243 * * * * [progress]: [ 320 / 463 ] simplifiying candidate # 214.243 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt 1) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 214.243 * * [simplify]: iters left: 6 (15 enodes) 214.251 * * [simplify]: iters left: 5 (64 enodes) 214.269 * * [simplify]: iters left: 4 (106 enodes) 214.288 * * [simplify]: iters left: 3 (186 enodes) 214.324 * * [simplify]: iters left: 2 (363 enodes) 214.454 * * [simplify]: Extracting #0: cost 1 inf + 0 214.459 * * [simplify]: Extracting #1: cost 52 inf + 0 214.460 * * [simplify]: Extracting #2: cost 134 inf + 1 214.461 * * [simplify]: Extracting #3: cost 197 inf + 3 214.462 * * [simplify]: Extracting #4: cost 231 inf + 56 214.466 * * [simplify]: Extracting #5: cost 198 inf + 7219 214.475 * * [simplify]: Extracting #6: cost 112 inf + 31529 214.495 * * [simplify]: Extracting #7: cost 36 inf + 84120 214.524 * * [simplify]: Extracting #8: cost 0 inf + 113087 214.553 * * [simplify]: Extracting #9: cost 0 inf + 112877 214.582 * [simplify]: Simplified to (* (pow (* 2 PI) (/ (- 1 k) 4)) (sqrt (pow n (/ (- 1 k) 2)))) 214.582 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (* 2 PI) (/ (- 1 k) 4)) (sqrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 214.583 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 214.583 * * [simplify]: iters left: 6 (15 enodes) 214.592 * * [simplify]: iters left: 5 (64 enodes) 214.616 * * [simplify]: iters left: 4 (108 enodes) 214.653 * * [simplify]: iters left: 3 (189 enodes) 214.723 * * [simplify]: iters left: 2 (385 enodes) 214.845 * * [simplify]: Extracting #0: cost 1 inf + 0 214.845 * * [simplify]: Extracting #1: cost 51 inf + 0 214.845 * * [simplify]: Extracting #2: cost 154 inf + 0 214.846 * * [simplify]: Extracting #3: cost 224 inf + 44 214.848 * * [simplify]: Extracting #4: cost 220 inf + 5926 214.852 * * [simplify]: Extracting #5: cost 140 inf + 33883 214.865 * * [simplify]: Extracting #6: cost 26 inf + 117646 214.883 * * [simplify]: Extracting #7: cost 0 inf + 138973 214.918 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 4)))) 214.918 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt 1) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 4)))))) 214.918 * * * * [progress]: [ 321 / 463 ] simplifiying candidate # 214.919 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 214.919 * * [simplify]: iters left: 6 (13 enodes) 214.926 * * [simplify]: iters left: 5 (54 enodes) 214.935 * * [simplify]: iters left: 4 (94 enodes) 214.954 * * [simplify]: iters left: 3 (157 enodes) 214.995 * * [simplify]: iters left: 2 (318 enodes) 215.083 * * [simplify]: Extracting #0: cost 1 inf + 0 215.084 * * [simplify]: Extracting #1: cost 53 inf + 0 215.084 * * [simplify]: Extracting #2: cost 152 inf + 0 215.085 * * [simplify]: Extracting #3: cost 212 inf + 3 215.086 * * [simplify]: Extracting #4: cost 209 inf + 5867 215.090 * * [simplify]: Extracting #5: cost 136 inf + 32247 215.108 * * [simplify]: Extracting #6: cost 22 inf + 117560 215.127 * * [simplify]: Extracting #7: cost 0 inf + 135627 215.154 * * [simplify]: Extracting #8: cost 0 inf + 134748 215.186 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 215.187 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 215.187 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 215.187 * * [simplify]: iters left: 6 (14 enodes) 215.195 * * [simplify]: iters left: 5 (57 enodes) 215.215 * * [simplify]: iters left: 4 (97 enodes) 215.246 * * [simplify]: iters left: 3 (160 enodes) 215.288 * * [simplify]: iters left: 2 (320 enodes) 215.382 * * [simplify]: Extracting #0: cost 1 inf + 0 215.383 * * [simplify]: Extracting #1: cost 50 inf + 0 215.383 * * [simplify]: Extracting #2: cost 153 inf + 0 215.384 * * [simplify]: Extracting #3: cost 215 inf + 3 215.385 * * [simplify]: Extracting #4: cost 221 inf + 2510 215.391 * * [simplify]: Extracting #5: cost 152 inf + 21860 215.405 * * [simplify]: Extracting #6: cost 30 inf + 114281 215.422 * * [simplify]: Extracting #7: cost 0 inf + 138118 215.444 * * [simplify]: Extracting #8: cost 0 inf + 137288 215.464 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 215.465 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 215.465 * * * * [progress]: [ 322 / 463 ] simplifiying candidate # 215.465 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 215.465 * * [simplify]: iters left: 6 (17 enodes) 215.474 * * [simplify]: iters left: 5 (69 enodes) 215.497 * * [simplify]: iters left: 4 (107 enodes) 215.530 * * [simplify]: iters left: 3 (166 enodes) 215.568 * * [simplify]: iters left: 2 (288 enodes) 215.631 * * [simplify]: Extracting #0: cost 1 inf + 0 215.631 * * [simplify]: Extracting #1: cost 15 inf + 0 215.632 * * [simplify]: Extracting #2: cost 29 inf + 0 215.632 * * [simplify]: Extracting #3: cost 56 inf + 0 215.632 * * [simplify]: Extracting #4: cost 131 inf + 125 215.634 * * [simplify]: Extracting #5: cost 137 inf + 2334 215.637 * * [simplify]: Extracting #6: cost 84 inf + 13862 215.646 * * [simplify]: Extracting #7: cost 29 inf + 40524 215.663 * * [simplify]: Extracting #8: cost 3 inf + 58648 215.678 * * [simplify]: Extracting #9: cost 0 inf + 60409 215.693 * * [simplify]: Extracting #10: cost 0 inf + 60368 215.709 * [simplify]: Simplified to (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2))))))) 215.709 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2))))))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 215.709 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 215.710 * * [simplify]: iters left: 6 (16 enodes) 215.718 * * [simplify]: iters left: 5 (64 enodes) 215.740 * * [simplify]: iters left: 4 (100 enodes) 215.761 * * [simplify]: iters left: 3 (146 enodes) 215.789 * * [simplify]: iters left: 2 (240 enodes) 215.877 * * [simplify]: iters left: 1 (470 enodes) 216.097 * * [simplify]: Extracting #0: cost 1 inf + 0 216.097 * * [simplify]: Extracting #1: cost 8 inf + 0 216.097 * * [simplify]: Extracting #2: cost 18 inf + 0 216.097 * * [simplify]: Extracting #3: cost 68 inf + 0 216.098 * * [simplify]: Extracting #4: cost 186 inf + 44 216.099 * * [simplify]: Extracting #5: cost 206 inf + 754 216.102 * * [simplify]: Extracting #6: cost 139 inf + 17139 216.116 * * [simplify]: Extracting #7: cost 32 inf + 84602 216.153 * * [simplify]: Extracting #8: cost 0 inf + 110418 216.185 * * [simplify]: Extracting #9: cost 0 inf + 106422 216.207 * * [simplify]: Extracting #10: cost 0 inf + 103877 216.223 * * [simplify]: Extracting #11: cost 0 inf + 103786 216.242 * [simplify]: Simplified to (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))))) 216.242 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))))))) 216.243 * * * * [progress]: [ 323 / 463 ] simplifiying candidate # 216.243 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 216.243 * * [simplify]: iters left: 6 (16 enodes) 216.252 * * [simplify]: iters left: 5 (64 enodes) 216.275 * * [simplify]: iters left: 4 (101 enodes) 216.307 * * [simplify]: iters left: 3 (147 enodes) 216.340 * * [simplify]: iters left: 2 (241 enodes) 216.402 * * [simplify]: iters left: 1 (462 enodes) 216.621 * * [simplify]: Extracting #0: cost 1 inf + 0 216.621 * * [simplify]: Extracting #1: cost 8 inf + 0 216.621 * * [simplify]: Extracting #2: cost 19 inf + 0 216.621 * * [simplify]: Extracting #3: cost 66 inf + 0 216.622 * * [simplify]: Extracting #4: cost 175 inf + 125 216.623 * * [simplify]: Extracting #5: cost 193 inf + 1299 216.625 * * [simplify]: Extracting #6: cost 139 inf + 12809 216.632 * * [simplify]: Extracting #7: cost 59 inf + 54347 216.645 * * [simplify]: Extracting #8: cost 4 inf + 97414 216.674 * * [simplify]: Extracting #9: cost 0 inf + 98533 216.703 * * [simplify]: Extracting #10: cost 0 inf + 98332 216.735 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 216.735 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 216.736 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 216.736 * * [simplify]: iters left: 6 (16 enodes) 216.745 * * [simplify]: iters left: 5 (64 enodes) 216.766 * * [simplify]: iters left: 4 (101 enodes) 216.797 * * [simplify]: iters left: 3 (147 enodes) 216.847 * * [simplify]: iters left: 2 (241 enodes) 216.915 * * [simplify]: iters left: 1 (462 enodes) 217.141 * * [simplify]: Extracting #0: cost 1 inf + 0 217.141 * * [simplify]: Extracting #1: cost 8 inf + 0 217.141 * * [simplify]: Extracting #2: cost 19 inf + 0 217.142 * * [simplify]: Extracting #3: cost 66 inf + 0 217.142 * * [simplify]: Extracting #4: cost 175 inf + 125 217.143 * * [simplify]: Extracting #5: cost 193 inf + 1299 217.146 * * [simplify]: Extracting #6: cost 139 inf + 12809 217.152 * * [simplify]: Extracting #7: cost 59 inf + 54347 217.166 * * [simplify]: Extracting #8: cost 4 inf + 97414 217.187 * * [simplify]: Extracting #9: cost 0 inf + 98533 217.213 * * [simplify]: Extracting #10: cost 0 inf + 98332 217.226 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 217.227 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 217.227 * * * * [progress]: [ 324 / 463 ] simplifiying candidate # 217.227 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) 1)) 217.227 * * [simplify]: iters left: 6 (12 enodes) 217.231 * * [simplify]: iters left: 5 (47 enodes) 217.242 * * [simplify]: iters left: 4 (75 enodes) 217.255 * * [simplify]: iters left: 3 (109 enodes) 217.279 * * [simplify]: iters left: 2 (179 enodes) 217.322 * * [simplify]: iters left: 1 (345 enodes) 217.479 * * [simplify]: Extracting #0: cost 1 inf + 0 217.479 * * [simplify]: Extracting #1: cost 6 inf + 0 217.479 * * [simplify]: Extracting #2: cost 11 inf + 1 217.479 * * [simplify]: Extracting #3: cost 36 inf + 1 217.480 * * [simplify]: Extracting #4: cost 111 inf + 45 217.481 * * [simplify]: Extracting #5: cost 130 inf + 1299 217.485 * * [simplify]: Extracting #6: cost 84 inf + 8739 217.492 * * [simplify]: Extracting #7: cost 38 inf + 26037 217.506 * * [simplify]: Extracting #8: cost 12 inf + 43352 217.519 * * [simplify]: Extracting #9: cost 0 inf + 51513 217.533 * * [simplify]: Extracting #10: cost 0 inf + 51474 217.544 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (sqrt (sqrt k))) 217.544 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 217.545 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 217.545 * * [simplify]: iters left: 6 (15 enodes) 217.549 * * [simplify]: iters left: 5 (61 enodes) 217.559 * * [simplify]: iters left: 4 (101 enodes) 217.578 * * [simplify]: iters left: 3 (168 enodes) 217.632 * * [simplify]: iters left: 2 (330 enodes) 217.732 * * [simplify]: Extracting #0: cost 1 inf + 0 217.733 * * [simplify]: Extracting #1: cost 51 inf + 0 217.734 * * [simplify]: Extracting #2: cost 155 inf + 0 217.735 * * [simplify]: Extracting #3: cost 219 inf + 2 217.738 * * [simplify]: Extracting #4: cost 212 inf + 8096 217.747 * * [simplify]: Extracting #5: cost 98 inf + 73588 217.765 * * [simplify]: Extracting #6: cost 9 inf + 146098 217.783 * * [simplify]: Extracting #7: cost 0 inf + 146576 217.804 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 217.804 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 217.804 * * * * [progress]: [ 325 / 463 ] simplifiying candidate # 217.804 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 217.805 * * [simplify]: iters left: 6 (16 enodes) 217.809 * * [simplify]: iters left: 5 (67 enodes) 217.826 * * [simplify]: iters left: 4 (111 enodes) 217.846 * * [simplify]: iters left: 3 (192 enodes) 217.907 * * [simplify]: iters left: 2 (381 enodes) 218.023 * * [simplify]: Extracting #0: cost 1 inf + 0 218.023 * * [simplify]: Extracting #1: cost 49 inf + 0 218.023 * * [simplify]: Extracting #2: cost 152 inf + 0 218.024 * * [simplify]: Extracting #3: cost 225 inf + 2 218.026 * * [simplify]: Extracting #4: cost 219 inf + 7129 218.033 * * [simplify]: Extracting #5: cost 93 inf + 70239 218.050 * * [simplify]: Extracting #6: cost 3 inf + 140316 218.070 * * [simplify]: Extracting #7: cost 0 inf + 140970 218.110 * * [simplify]: Extracting #8: cost 0 inf + 140839 218.144 * [simplify]: Simplified to (/ (* (sqrt (pow n (/ (- 1 k) 2))) (pow (* 2 PI) (/ (- 1 k) 4))) (sqrt (sqrt k))) 218.145 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt (pow n (/ (- 1 k) 2))) (pow (* 2 PI) (/ (- 1 k) 4))) (sqrt (sqrt k))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 218.145 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 218.145 * * [simplify]: iters left: 6 (16 enodes) 218.155 * * [simplify]: iters left: 5 (67 enodes) 218.177 * * [simplify]: iters left: 4 (111 enodes) 218.211 * * [simplify]: iters left: 3 (192 enodes) 218.265 * * [simplify]: iters left: 2 (381 enodes) 218.405 * * [simplify]: Extracting #0: cost 1 inf + 0 218.405 * * [simplify]: Extracting #1: cost 49 inf + 0 218.406 * * [simplify]: Extracting #2: cost 152 inf + 0 218.407 * * [simplify]: Extracting #3: cost 225 inf + 2 218.410 * * [simplify]: Extracting #4: cost 219 inf + 7129 218.425 * * [simplify]: Extracting #5: cost 93 inf + 70239 218.457 * * [simplify]: Extracting #6: cost 3 inf + 140316 218.497 * * [simplify]: Extracting #7: cost 0 inf + 140970 218.531 * * [simplify]: Extracting #8: cost 0 inf + 140839 218.565 * [simplify]: Simplified to (/ (* (sqrt (pow n (/ (- 1 k) 2))) (pow (* 2 PI) (/ (- 1 k) 4))) (sqrt (sqrt k))) 218.565 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (/ (* (sqrt (pow n (/ (- 1 k) 2))) (pow (* 2 PI) (/ (- 1 k) 4))) (sqrt (sqrt k))))) 218.565 * * * * [progress]: [ 326 / 463 ] simplifiying candidate # 218.566 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ 1 (pow 2 (/ (- 1 k) 2)))) 218.566 * * [simplify]: iters left: 6 (11 enodes) 218.572 * * [simplify]: iters left: 5 (48 enodes) 218.590 * * [simplify]: iters left: 4 (84 enodes) 218.607 * * [simplify]: iters left: 3 (150 enodes) 218.648 * * [simplify]: iters left: 2 (298 enodes) 218.732 * * [simplify]: Extracting #0: cost 1 inf + 0 218.732 * * [simplify]: Extracting #1: cost 51 inf + 0 218.733 * * [simplify]: Extracting #2: cost 140 inf + 1 218.734 * * [simplify]: Extracting #3: cost 183 inf + 4 218.735 * * [simplify]: Extracting #4: cost 211 inf + 11 218.737 * * [simplify]: Extracting #5: cost 186 inf + 4415 218.743 * * [simplify]: Extracting #6: cost 127 inf + 22124 218.756 * * [simplify]: Extracting #7: cost 40 inf + 75833 218.769 * * [simplify]: Extracting #8: cost 2 inf + 105804 218.782 * * [simplify]: Extracting #9: cost 0 inf + 106539 218.809 * [simplify]: Simplified to (* (sqrt (pow n (/ (- 1 k) 2))) (pow 2 (/ (- 1 k) 2))) 218.810 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow n (/ (- 1 k) 2))) (pow 2 (/ (- 1 k) 2))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 218.810 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 218.810 * * [simplify]: iters left: 6 (13 enodes) 218.817 * * [simplify]: iters left: 5 (54 enodes) 218.839 * * [simplify]: iters left: 4 (94 enodes) 218.871 * * [simplify]: iters left: 3 (157 enodes) 218.904 * * [simplify]: iters left: 2 (318 enodes) 219.033 * * [simplify]: Extracting #0: cost 1 inf + 0 219.034 * * [simplify]: Extracting #1: cost 53 inf + 0 219.034 * * [simplify]: Extracting #2: cost 152 inf + 0 219.035 * * [simplify]: Extracting #3: cost 209 inf + 45 219.036 * * [simplify]: Extracting #4: cost 206 inf + 5505 219.041 * * [simplify]: Extracting #5: cost 122 inf + 41915 219.063 * * [simplify]: Extracting #6: cost 7 inf + 128414 219.095 * * [simplify]: Extracting #7: cost 0 inf + 132618 219.128 * * [simplify]: Extracting #8: cost 0 inf + 131739 219.148 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 219.148 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow n (/ (- 1 k) 2))) (pow 2 (/ (- 1 k) 2))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 219.149 * * * * [progress]: [ 327 / 463 ] simplifiying candidate # 219.149 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ 1 (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 219.149 * * [simplify]: iters left: 6 (15 enodes) 219.154 * * [simplify]: iters left: 5 (63 enodes) 219.165 * * [simplify]: iters left: 4 (101 enodes) 219.193 * * [simplify]: iters left: 3 (158 enodes) 219.233 * * [simplify]: iters left: 2 (262 enodes) 219.328 * * [simplify]: Extracting #0: cost 1 inf + 0 219.328 * * [simplify]: Extracting #1: cost 16 inf + 0 219.328 * * [simplify]: Extracting #2: cost 26 inf + 1 219.329 * * [simplify]: Extracting #3: cost 52 inf + 1 219.329 * * [simplify]: Extracting #4: cost 121 inf + 3 219.330 * * [simplify]: Extracting #5: cost 141 inf + 51 219.331 * * [simplify]: Extracting #6: cost 123 inf + 2185 219.335 * * [simplify]: Extracting #7: cost 68 inf + 15786 219.345 * * [simplify]: Extracting #8: cost 21 inf + 40943 219.359 * * [simplify]: Extracting #9: cost 2 inf + 53413 219.373 * * [simplify]: Extracting #10: cost 0 inf + 54955 219.387 * [simplify]: Simplified to (* (* (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2))))) (sqrt (pow n (- 1/2 (/ k 2))))) 219.387 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2))))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 219.388 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 219.388 * * [simplify]: iters left: 6 (15 enodes) 219.396 * * [simplify]: iters left: 5 (61 enodes) 219.417 * * [simplify]: iters left: 4 (97 enodes) 219.448 * * [simplify]: iters left: 3 (147 enodes) 219.501 * * [simplify]: iters left: 2 (246 enodes) 219.593 * * [simplify]: iters left: 1 (462 enodes) 219.790 * * [simplify]: Extracting #0: cost 1 inf + 0 219.790 * * [simplify]: Extracting #1: cost 8 inf + 0 219.790 * * [simplify]: Extracting #2: cost 18 inf + 0 219.790 * * [simplify]: Extracting #3: cost 66 inf + 83 219.791 * * [simplify]: Extracting #4: cost 182 inf + 85 219.792 * * [simplify]: Extracting #5: cost 191 inf + 3852 219.797 * * [simplify]: Extracting #6: cost 100 inf + 39462 219.809 * * [simplify]: Extracting #7: cost 20 inf + 88458 219.837 * * [simplify]: Extracting #8: cost 0 inf + 106513 219.867 * * [simplify]: Extracting #9: cost 0 inf + 105804 219.897 * [simplify]: Simplified to (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))))) 219.897 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ 1 (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))))))) 219.897 * * * * [progress]: [ 328 / 463 ] simplifiying candidate # 219.898 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ 1 (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 219.898 * * [simplify]: iters left: 6 (14 enodes) 219.905 * * [simplify]: iters left: 5 (58 enodes) 219.925 * * [simplify]: iters left: 4 (91 enodes) 219.955 * * [simplify]: iters left: 3 (140 enodes) 220.004 * * [simplify]: iters left: 2 (236 enodes) 220.069 * * [simplify]: iters left: 1 (462 enodes) 220.304 * * [simplify]: Extracting #0: cost 1 inf + 0 220.304 * * [simplify]: Extracting #1: cost 7 inf + 0 220.304 * * [simplify]: Extracting #2: cost 14 inf + 1 220.304 * * [simplify]: Extracting #3: cost 63 inf + 1 220.305 * * [simplify]: Extracting #4: cost 181 inf + 3 220.307 * * [simplify]: Extracting #5: cost 207 inf + 94 220.309 * * [simplify]: Extracting #6: cost 191 inf + 3549 220.315 * * [simplify]: Extracting #7: cost 86 inf + 40982 220.328 * * [simplify]: Extracting #8: cost 5 inf + 99136 220.343 * * [simplify]: Extracting #9: cost 0 inf + 101634 220.371 * * [simplify]: Extracting #10: cost 0 inf + 101103 220.401 * [simplify]: Simplified to (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt (pow n (/ (- 1 k) 2)))) 220.401 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 220.401 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 220.402 * * [simplify]: iters left: 6 (15 enodes) 220.413 * * [simplify]: iters left: 5 (61 enodes) 220.433 * * [simplify]: iters left: 4 (98 enodes) 220.464 * * [simplify]: iters left: 3 (144 enodes) 220.494 * * [simplify]: iters left: 2 (238 enodes) 220.557 * * [simplify]: iters left: 1 (464 enodes) 220.765 * * [simplify]: Extracting #0: cost 1 inf + 0 220.765 * * [simplify]: Extracting #1: cost 8 inf + 0 220.765 * * [simplify]: Extracting #2: cost 19 inf + 0 220.766 * * [simplify]: Extracting #3: cost 62 inf + 83 220.767 * * [simplify]: Extracting #4: cost 181 inf + 85 220.769 * * [simplify]: Extracting #5: cost 193 inf + 3474 220.778 * * [simplify]: Extracting #6: cost 107 inf + 35521 220.802 * * [simplify]: Extracting #7: cost 12 inf + 95655 220.828 * * [simplify]: Extracting #8: cost 0 inf + 105403 220.844 * * [simplify]: Extracting #9: cost 0 inf + 104039 220.867 * * [simplify]: Extracting #10: cost 0 inf + 102956 220.889 * * [simplify]: Extracting #11: cost 0 inf + 102128 220.920 * * [simplify]: Extracting #12: cost 0 inf + 101065 220.952 * [simplify]: Simplified to (/ (* (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt (pow n (- 1/2 (/ k 2))))) (sqrt k)) 220.952 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt (pow n (/ (- 1 k) 2)))) (/ (* (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt (pow n (- 1/2 (/ k 2))))) (sqrt k)))) 220.952 * * * * [progress]: [ 329 / 463 ] simplifiying candidate # 220.953 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ 1 1)) 220.953 * * [simplify]: iters left: 6 (10 enodes) 220.959 * * [simplify]: iters left: 5 (39 enodes) 220.973 * * [simplify]: iters left: 4 (65 enodes) 220.985 * * [simplify]: iters left: 3 (98 enodes) 221.004 * * [simplify]: iters left: 2 (167 enodes) 221.048 * * [simplify]: iters left: 1 (323 enodes) 221.160 * * [simplify]: Extracting #0: cost 1 inf + 0 221.161 * * [simplify]: Extracting #1: cost 5 inf + 0 221.161 * * [simplify]: Extracting #2: cost 30 inf + 1 221.161 * * [simplify]: Extracting #3: cost 103 inf + 3 221.162 * * [simplify]: Extracting #4: cost 134 inf + 9 221.162 * * [simplify]: Extracting #5: cost 123 inf + 1456 221.164 * * [simplify]: Extracting #6: cost 73 inf + 7943 221.172 * * [simplify]: Extracting #7: cost 28 inf + 32217 221.180 * * [simplify]: Extracting #8: cost 0 inf + 51495 221.194 * * [simplify]: Extracting #9: cost 0 inf + 51102 221.209 * [simplify]: Simplified to (sqrt (pow n (- 1/2 (/ k 2)))) 221.209 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 221.210 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 221.210 * * [simplify]: iters left: 6 (14 enodes) 221.218 * * [simplify]: iters left: 5 (58 enodes) 221.237 * * [simplify]: iters left: 4 (98 enodes) 221.255 * * [simplify]: iters left: 3 (161 enodes) 221.312 * * [simplify]: iters left: 2 (322 enodes) 221.409 * * [simplify]: Extracting #0: cost 1 inf + 0 221.409 * * [simplify]: Extracting #1: cost 44 inf + 0 221.410 * * [simplify]: Extracting #2: cost 148 inf + 0 221.410 * * [simplify]: Extracting #3: cost 207 inf + 85 221.412 * * [simplify]: Extracting #4: cost 189 inf + 10980 221.417 * * [simplify]: Extracting #5: cost 120 inf + 38444 221.433 * * [simplify]: Extracting #6: cost 22 inf + 114518 221.466 * * [simplify]: Extracting #7: cost 0 inf + 133156 221.492 * * [simplify]: Extracting #8: cost 0 inf + 132632 221.518 * [simplify]: Simplified to (/ (* (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (pow n (/ (- 1 k) 2)))) (sqrt k)) 221.518 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ 1 1)) (/ (* (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (pow n (/ (- 1 k) 2)))) (sqrt k)))) 221.518 * * * * [progress]: [ 330 / 463 ] simplifiying candidate # 221.519 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ 1 (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 221.519 * * [simplify]: iters left: 6 (14 enodes) 221.527 * * [simplify]: iters left: 5 (61 enodes) 221.549 * * [simplify]: iters left: 4 (101 enodes) 221.580 * * [simplify]: iters left: 3 (181 enodes) 221.628 * * [simplify]: iters left: 2 (357 enodes) 221.729 * * [simplify]: Extracting #0: cost 1 inf + 0 221.729 * * [simplify]: Extracting #1: cost 52 inf + 0 221.730 * * [simplify]: Extracting #2: cost 140 inf + 1 221.731 * * [simplify]: Extracting #3: cost 198 inf + 3 221.731 * * [simplify]: Extracting #4: cost 225 inf + 98 221.733 * * [simplify]: Extracting #5: cost 206 inf + 6650 221.740 * * [simplify]: Extracting #6: cost 73 inf + 60246 221.767 * * [simplify]: Extracting #7: cost 6 inf + 105155 221.795 * * [simplify]: Extracting #8: cost 0 inf + 108814 221.824 * * [simplify]: Extracting #9: cost 0 inf + 108051 221.852 * [simplify]: Simplified to (* (pow (* 2 PI) (/ (- 1 k) 4)) (fabs (pow n (/ (- 1 k) 4)))) 221.852 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (* 2 PI) (/ (- 1 k) 4)) (fabs (pow n (/ (- 1 k) 4)))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 221.852 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 221.852 * * [simplify]: iters left: 6 (15 enodes) 221.864 * * [simplify]: iters left: 5 (64 enodes) 221.887 * * [simplify]: iters left: 4 (108 enodes) 221.925 * * [simplify]: iters left: 3 (189 enodes) 221.982 * * [simplify]: iters left: 2 (385 enodes) 222.124 * * [simplify]: Extracting #0: cost 1 inf + 0 222.124 * * [simplify]: Extracting #1: cost 51 inf + 0 222.126 * * [simplify]: Extracting #2: cost 154 inf + 0 222.127 * * [simplify]: Extracting #3: cost 224 inf + 44 222.130 * * [simplify]: Extracting #4: cost 220 inf + 5926 222.139 * * [simplify]: Extracting #5: cost 140 inf + 33883 222.164 * * [simplify]: Extracting #6: cost 26 inf + 117646 222.197 * * [simplify]: Extracting #7: cost 0 inf + 138973 222.226 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 4)))) 222.226 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ 1 (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 4)))))) 222.227 * * * * [progress]: [ 331 / 463 ] simplifiying candidate # 222.227 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) 1) 222.227 * * [simplify]: iters left: 6 (9 enodes) 222.230 * * [simplify]: iters left: 5 (36 enodes) 222.241 * * [simplify]: iters left: 4 (62 enodes) 222.263 * * [simplify]: iters left: 3 (97 enodes) 222.294 * * [simplify]: iters left: 2 (166 enodes) 222.358 * * [simplify]: iters left: 1 (318 enodes) 222.511 * * [simplify]: Extracting #0: cost 1 inf + 0 222.511 * * [simplify]: Extracting #1: cost 5 inf + 0 222.511 * * [simplify]: Extracting #2: cost 32 inf + 1 222.512 * * [simplify]: Extracting #3: cost 108 inf + 3 222.513 * * [simplify]: Extracting #4: cost 136 inf + 9 222.514 * * [simplify]: Extracting #5: cost 129 inf + 595 222.518 * * [simplify]: Extracting #6: cost 67 inf + 10359 222.530 * * [simplify]: Extracting #7: cost 14 inf + 42228 222.545 * * [simplify]: Extracting #8: cost 0 inf + 54740 222.562 * * [simplify]: Extracting #9: cost 0 inf + 54188 222.571 * [simplify]: Simplified to (sqrt (pow n (- 1/2 (/ k 2)))) 222.571 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 222.571 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 222.571 * * [simplify]: iters left: 6 (14 enodes) 222.575 * * [simplify]: iters left: 5 (58 enodes) 222.587 * * [simplify]: iters left: 4 (98 enodes) 222.611 * * [simplify]: iters left: 3 (161 enodes) 222.651 * * [simplify]: iters left: 2 (322 enodes) 222.748 * * [simplify]: Extracting #0: cost 1 inf + 0 222.748 * * [simplify]: Extracting #1: cost 44 inf + 0 222.748 * * [simplify]: Extracting #2: cost 148 inf + 0 222.749 * * [simplify]: Extracting #3: cost 207 inf + 85 222.751 * * [simplify]: Extracting #4: cost 189 inf + 10980 222.756 * * [simplify]: Extracting #5: cost 120 inf + 38444 222.768 * * [simplify]: Extracting #6: cost 22 inf + 114518 222.790 * * [simplify]: Extracting #7: cost 0 inf + 133156 222.823 * * [simplify]: Extracting #8: cost 0 inf + 132632 222.839 * [simplify]: Simplified to (/ (* (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (pow n (/ (- 1 k) 2)))) (sqrt k)) 222.839 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) 1) (/ (* (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (pow n (/ (- 1 k) 2)))) (sqrt k)))) 222.839 * * * * [progress]: [ 332 / 463 ] simplifiying candidate # 222.839 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (sqrt k)) 222.839 * * [simplify]: iters left: 6 (10 enodes) 222.843 * * [simplify]: iters left: 5 (41 enodes) 222.855 * * [simplify]: iters left: 4 (67 enodes) 222.875 * * [simplify]: iters left: 3 (102 enodes) 222.894 * * [simplify]: iters left: 2 (175 enodes) 222.967 * * [simplify]: iters left: 1 (330 enodes) 223.109 * * [simplify]: Extracting #0: cost 1 inf + 0 223.109 * * [simplify]: Extracting #1: cost 4 inf + 0 223.109 * * [simplify]: Extracting #2: cost 9 inf + 0 223.109 * * [simplify]: Extracting #3: cost 35 inf + 42 223.109 * * [simplify]: Extracting #4: cost 105 inf + 85 223.110 * * [simplify]: Extracting #5: cost 128 inf + 382 223.114 * * [simplify]: Extracting #6: cost 81 inf + 8012 223.126 * * [simplify]: Extracting #7: cost 18 inf + 36566 223.145 * * [simplify]: Extracting #8: cost 0 inf + 50248 223.164 * * [simplify]: Extracting #9: cost 0 inf + 49645 223.186 * * [simplify]: Extracting #10: cost 0 inf + 49329 223.195 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (sqrt k)) 223.195 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (sqrt k)) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ 1 (pow (* 2 PI) (/ (- 1 k) 2)))))) 223.196 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ 1 (pow (* 2 PI) (/ (- 1 k) 2)))) 223.196 * * [simplify]: iters left: 6 (13 enodes) 223.200 * * [simplify]: iters left: 5 (55 enodes) 223.210 * * [simplify]: iters left: 4 (91 enodes) 223.231 * * [simplify]: iters left: 3 (153 enodes) 223.267 * * [simplify]: iters left: 2 (296 enodes) 223.382 * * [simplify]: Extracting #0: cost 1 inf + 0 223.382 * * [simplify]: Extracting #1: cost 55 inf + 0 223.383 * * [simplify]: Extracting #2: cost 141 inf + 1 223.383 * * [simplify]: Extracting #3: cost 188 inf + 3 223.384 * * [simplify]: Extracting #4: cost 212 inf + 96 223.388 * * [simplify]: Extracting #5: cost 184 inf + 5299 223.392 * * [simplify]: Extracting #6: cost 111 inf + 33007 223.406 * * [simplify]: Extracting #7: cost 19 inf + 101094 223.434 * * [simplify]: Extracting #8: cost 0 inf + 114105 223.450 * [simplify]: Simplified to (* (sqrt (pow n (/ (- 1 k) 2))) (pow (* 2 PI) (/ (- 1 k) 2))) 223.451 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (sqrt k)) (* (sqrt (pow n (/ (- 1 k) 2))) (pow (* 2 PI) (/ (- 1 k) 2))))) 223.451 * * * * [progress]: [ 333 / 463 ] simplifiying candidate # 223.451 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (/ 1 2)))) 223.451 * * [simplify]: iters left: 6 (15 enodes) 223.456 * * [simplify]: iters left: 5 (62 enodes) 223.471 * * [simplify]: iters left: 4 (112 enodes) 223.516 * * [simplify]: iters left: 3 (205 enodes) 223.563 * * [simplify]: iters left: 2 (379 enodes) 223.702 * * [simplify]: Extracting #0: cost 1 inf + 0 223.702 * * [simplify]: Extracting #1: cost 49 inf + 0 223.703 * * [simplify]: Extracting #2: cost 130 inf + 0 223.704 * * [simplify]: Extracting #3: cost 145 inf + 49 223.706 * * [simplify]: Extracting #4: cost 186 inf + 95 223.708 * * [simplify]: Extracting #5: cost 179 inf + 6727 223.721 * * [simplify]: Extracting #6: cost 64 inf + 58972 223.745 * * [simplify]: Extracting #7: cost 7 inf + 102833 223.757 * * [simplify]: Extracting #8: cost 0 inf + 107224 223.769 * * [simplify]: Extracting #9: cost 0 inf + 107054 223.783 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (* 2 PI)))) 223.783 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (* 2 PI)))) (/ (sqrt (pow n (/ (- 1 k) 2))) (pow (* 2 PI) (/ k 2))))) 223.783 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (pow (* 2 PI) (/ k 2))) 223.783 * * [simplify]: iters left: 6 (13 enodes) 223.788 * * [simplify]: iters left: 5 (53 enodes) 223.797 * * [simplify]: iters left: 4 (85 enodes) 223.821 * * [simplify]: iters left: 3 (150 enodes) 223.882 * * [simplify]: iters left: 2 (297 enodes) 223.978 * * [simplify]: Extracting #0: cost 1 inf + 0 223.978 * * [simplify]: Extracting #1: cost 6 inf + 0 223.979 * * [simplify]: Extracting #2: cost 28 inf + 0 223.979 * * [simplify]: Extracting #3: cost 95 inf + 1 223.980 * * [simplify]: Extracting #4: cost 147 inf + 218 223.982 * * [simplify]: Extracting #5: cost 125 inf + 5432 223.989 * * [simplify]: Extracting #6: cost 47 inf + 28906 224.001 * * [simplify]: Extracting #7: cost 4 inf + 49931 224.014 * * [simplify]: Extracting #8: cost 0 inf + 52623 224.027 * [simplify]: Simplified to (/ (sqrt (pow n (- 1/2 (/ k 2)))) (pow (* 2 PI) (/ k 2))) 224.027 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (* 2 PI)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (pow (* 2 PI) (/ k 2))))) 224.027 * * * * [progress]: [ 334 / 463 ] simplifiying candidate # 224.028 * [simplify]: Simplifying (/ 1 (* (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 224.028 * * [simplify]: iters left: 6 (13 enodes) 224.035 * * [simplify]: iters left: 5 (53 enodes) 224.048 * * [simplify]: iters left: 4 (82 enodes) 224.064 * * [simplify]: iters left: 3 (117 enodes) 224.432 * * [simplify]: iters left: 2 (191 enodes) 224.506 * * [simplify]: iters left: 1 (362 enodes) 224.710 * * [simplify]: Extracting #0: cost 1 inf + 0 224.710 * * [simplify]: Extracting #1: cost 6 inf + 0 224.710 * * [simplify]: Extracting #2: cost 9 inf + 1 224.710 * * [simplify]: Extracting #3: cost 14 inf + 1 224.710 * * [simplify]: Extracting #4: cost 43 inf + 1 224.711 * * [simplify]: Extracting #5: cost 133 inf + 3 224.712 * * [simplify]: Extracting #6: cost 154 inf + 1663 224.716 * * [simplify]: Extracting #7: cost 92 inf + 16247 224.728 * * [simplify]: Extracting #8: cost 23 inf + 49540 224.747 * * [simplify]: Extracting #9: cost 0 inf + 67103 224.767 * * [simplify]: Extracting #10: cost 0 inf + 67063 224.786 * [simplify]: Simplified to (/ 1 (* (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 224.786 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) (/ (pow n (/ (- 1 k) 2)) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))))) 224.787 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 224.787 * * [simplify]: iters left: 6 (14 enodes) 224.793 * * [simplify]: iters left: 5 (56 enodes) 224.810 * * [simplify]: iters left: 4 (90 enodes) 224.839 * * [simplify]: iters left: 3 (142 enodes) 224.883 * * [simplify]: iters left: 2 (258 enodes) 224.980 * * [simplify]: Extracting #0: cost 1 inf + 0 224.980 * * [simplify]: Extracting #1: cost 30 inf + 0 224.980 * * [simplify]: Extracting #2: cost 74 inf + 0 224.980 * * [simplify]: Extracting #3: cost 123 inf + 3 224.981 * * [simplify]: Extracting #4: cost 147 inf + 11 224.981 * * [simplify]: Extracting #5: cost 169 inf + 555 224.983 * * [simplify]: Extracting #6: cost 126 inf + 8188 224.988 * * [simplify]: Extracting #7: cost 48 inf + 46807 224.997 * * [simplify]: Extracting #8: cost 1 inf + 86529 225.007 * * [simplify]: Extracting #9: cost 0 inf + 86730 225.026 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 225.026 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) (/ (pow n (/ (- 1 k) 2)) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))))) 225.026 * * * * [progress]: [ 335 / 463 ] simplifiying candidate # 225.026 * [simplify]: Simplifying (/ 1 (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 225.026 * * [simplify]: iters left: 6 (12 enodes) 225.035 * * [simplify]: iters left: 5 (48 enodes) 225.049 * * [simplify]: iters left: 4 (71 enodes) 225.061 * * [simplify]: iters left: 3 (111 enodes) 225.084 * * [simplify]: iters left: 2 (205 enodes) 225.139 * * [simplify]: iters left: 1 (380 enodes) 225.280 * * [simplify]: Extracting #0: cost 1 inf + 0 225.280 * * [simplify]: Extracting #1: cost 4 inf + 0 225.280 * * [simplify]: Extracting #2: cost 5 inf + 1 225.280 * * [simplify]: Extracting #3: cost 10 inf + 1 225.281 * * [simplify]: Extracting #4: cost 45 inf + 1 225.281 * * [simplify]: Extracting #5: cost 131 inf + 3 225.282 * * [simplify]: Extracting #6: cost 157 inf + 2457 225.285 * * [simplify]: Extracting #7: cost 89 inf + 23759 225.293 * * [simplify]: Extracting #8: cost 16 inf + 60832 225.313 * * [simplify]: Extracting #9: cost 0 inf + 70554 225.333 * * [simplify]: Extracting #10: cost 0 inf + 70003 225.353 * [simplify]: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 225.353 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (pow n (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))))) 225.354 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 225.354 * * [simplify]: iters left: 6 (14 enodes) 225.362 * * [simplify]: iters left: 5 (56 enodes) 225.380 * * [simplify]: iters left: 4 (90 enodes) 225.413 * * [simplify]: iters left: 3 (142 enodes) 225.463 * * [simplify]: iters left: 2 (258 enodes) 225.570 * * [simplify]: Extracting #0: cost 1 inf + 0 225.570 * * [simplify]: Extracting #1: cost 30 inf + 0 225.571 * * [simplify]: Extracting #2: cost 74 inf + 0 225.571 * * [simplify]: Extracting #3: cost 123 inf + 3 225.572 * * [simplify]: Extracting #4: cost 147 inf + 11 225.573 * * [simplify]: Extracting #5: cost 169 inf + 555 225.576 * * [simplify]: Extracting #6: cost 126 inf + 8068 225.585 * * [simplify]: Extracting #7: cost 48 inf + 46127 225.594 * * [simplify]: Extracting #8: cost 1 inf + 85049 225.604 * * [simplify]: Extracting #9: cost 0 inf + 85250 225.619 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 225.619 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (pow n (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))))) 225.620 * * * * [progress]: [ 336 / 463 ] simplifiying candidate # 225.620 * [simplify]: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (/ (- 1 k) 2)))) 225.620 * * [simplify]: iters left: 6 (11 enodes) 225.627 * * [simplify]: iters left: 5 (48 enodes) 225.644 * * [simplify]: iters left: 4 (88 enodes) 225.677 * * [simplify]: iters left: 3 (175 enodes) 225.736 * * [simplify]: iters left: 2 (442 enodes) 225.980 * * [simplify]: Extracting #0: cost 1 inf + 0 225.980 * * [simplify]: Extracting #1: cost 96 inf + 0 225.981 * * [simplify]: Extracting #2: cost 271 inf + 1 225.983 * * [simplify]: Extracting #3: cost 327 inf + 4 225.984 * * [simplify]: Extracting #4: cost 314 inf + 3756 225.989 * * [simplify]: Extracting #5: cost 237 inf + 30905 226.007 * * [simplify]: Extracting #6: cost 49 inf + 156181 226.037 * * [simplify]: Extracting #7: cost 0 inf + 193693 226.064 * * [simplify]: Extracting #8: cost 0 inf + 191384 226.110 * [simplify]: Simplified to (/ (pow 2 (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 226.110 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow 2 (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow n (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 226.110 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 226.111 * * [simplify]: iters left: 6 (13 enodes) 226.119 * * [simplify]: iters left: 5 (54 enodes) 226.132 * * [simplify]: iters left: 4 (97 enodes) 226.154 * * [simplify]: iters left: 3 (190 enodes) 226.210 * * [simplify]: Extracting #0: cost 1 inf + 0 226.211 * * [simplify]: Extracting #1: cost 38 inf + 0 226.211 * * [simplify]: Extracting #2: cost 128 inf + 0 226.212 * * [simplify]: Extracting #3: cost 160 inf + 3 226.213 * * [simplify]: Extracting #4: cost 150 inf + 1134 226.217 * * [simplify]: Extracting #5: cost 103 inf + 16779 226.223 * * [simplify]: Extracting #6: cost 17 inf + 68912 226.234 * * [simplify]: Extracting #7: cost 0 inf + 79691 226.243 * * [simplify]: Extracting #8: cost 0 inf + 79273 226.254 * * [simplify]: Extracting #9: cost 0 inf + 79272 226.271 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 226.271 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow 2 (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow n (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 226.272 * * * * [progress]: [ 337 / 463 ] simplifiying candidate # 226.272 * [simplify]: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 226.272 * * [simplify]: iters left: 6 (15 enodes) 226.281 * * [simplify]: iters left: 5 (65 enodes) 226.304 * * [simplify]: iters left: 4 (119 enodes) 226.345 * * [simplify]: iters left: 3 (189 enodes) 226.390 * * [simplify]: iters left: 2 (317 enodes) 226.516 * * [simplify]: iters left: 1 (494 enodes) 226.645 * * [simplify]: Extracting #0: cost 1 inf + 0 226.646 * * [simplify]: Extracting #1: cost 16 inf + 0 226.649 * * [simplify]: Extracting #2: cost 30 inf + 1 226.649 * * [simplify]: Extracting #3: cost 54 inf + 1 226.649 * * [simplify]: Extracting #4: cost 125 inf + 3 226.650 * * [simplify]: Extracting #5: cost 164 inf + 619 226.652 * * [simplify]: Extracting #6: cost 114 inf + 7389 226.658 * * [simplify]: Extracting #7: cost 37 inf + 42873 226.668 * * [simplify]: Extracting #8: cost 1 inf + 70116 226.679 * * [simplify]: Extracting #9: cost 0 inf + 69950 226.698 * * [simplify]: Extracting #10: cost 0 inf + 69700 226.708 * [simplify]: Simplified to (* (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (sqrt k)))) 226.708 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (sqrt k)))) (/ (pow n (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 226.708 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 226.709 * * [simplify]: iters left: 6 (15 enodes) 226.713 * * [simplify]: iters left: 5 (61 enodes) 226.723 * * [simplify]: iters left: 4 (100 enodes) 226.741 * * [simplify]: iters left: 3 (172 enodes) 226.783 * * [simplify]: iters left: 2 (347 enodes) 226.887 * * [simplify]: Extracting #0: cost 1 inf + 0 226.887 * * [simplify]: Extracting #1: cost 60 inf + 0 226.888 * * [simplify]: Extracting #2: cost 175 inf + 0 226.890 * * [simplify]: Extracting #3: cost 240 inf + 3 226.893 * * [simplify]: Extracting #4: cost 248 inf + 4260 226.900 * * [simplify]: Extracting #5: cost 175 inf + 29528 226.918 * * [simplify]: Extracting #6: cost 95 inf + 83696 226.945 * * [simplify]: Extracting #7: cost 18 inf + 150773 226.963 * * [simplify]: Extracting #8: cost 0 inf + 166765 226.991 * [simplify]: Simplified to (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ (- 1 k) 2)) (cbrt (sqrt k)))) 226.992 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (sqrt k)))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ (- 1 k) 2)) (cbrt (sqrt k)))))) 226.992 * * * * [progress]: [ 338 / 463 ] simplifiying candidate # 226.992 * [simplify]: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 226.992 * * [simplify]: iters left: 6 (14 enodes) 227.001 * * [simplify]: iters left: 5 (58 enodes) 227.013 * * [simplify]: iters left: 4 (96 enodes) 227.029 * * [simplify]: iters left: 3 (142 enodes) 227.073 * * [simplify]: iters left: 2 (236 enodes) 227.132 * * [simplify]: iters left: 1 (399 enodes) 227.296 * * [simplify]: Extracting #0: cost 1 inf + 0 227.296 * * [simplify]: Extracting #1: cost 11 inf + 0 227.296 * * [simplify]: Extracting #2: cost 21 inf + 1 227.296 * * [simplify]: Extracting #3: cost 48 inf + 1 227.297 * * [simplify]: Extracting #4: cost 121 inf + 3 227.298 * * [simplify]: Extracting #5: cost 144 inf + 744 227.301 * * [simplify]: Extracting #6: cost 96 inf + 8895 227.315 * * [simplify]: Extracting #7: cost 12 inf + 50412 227.333 * * [simplify]: Extracting #8: cost 0 inf + 61258 227.351 * * [simplify]: Extracting #9: cost 0 inf + 60942 227.368 * [simplify]: Simplified to (/ (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 227.368 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow n (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 227.369 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 227.369 * * [simplify]: iters left: 6 (15 enodes) 227.377 * * [simplify]: iters left: 5 (61 enodes) 227.392 * * [simplify]: iters left: 4 (101 enodes) 227.410 * * [simplify]: iters left: 3 (173 enodes) 227.458 * * [simplify]: iters left: 2 (344 enodes) 227.562 * * [simplify]: Extracting #0: cost 1 inf + 0 227.562 * * [simplify]: Extracting #1: cost 60 inf + 0 227.563 * * [simplify]: Extracting #2: cost 170 inf + 0 227.564 * * [simplify]: Extracting #3: cost 242 inf + 3 227.565 * * [simplify]: Extracting #4: cost 231 inf + 9027 227.576 * * [simplify]: Extracting #5: cost 112 inf + 71536 227.608 * * [simplify]: Extracting #6: cost 12 inf + 151552 227.640 * * [simplify]: Extracting #7: cost 0 inf + 160770 227.661 * * [simplify]: Extracting #8: cost 0 inf + 160639 227.696 * * [simplify]: Extracting #9: cost 0 inf + 160549 227.729 * [simplify]: Simplified to (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow n (/ (- 1 k) 2)))) 227.729 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow n (/ (- 1 k) 2)))))) 227.729 * * * * [progress]: [ 339 / 463 ] simplifiying candidate # 227.729 * [simplify]: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 227.729 * * [simplify]: iters left: 6 (7 enodes) 227.732 * * [simplify]: iters left: 5 (25 enodes) 227.737 * * [simplify]: iters left: 4 (38 enodes) 227.743 * * [simplify]: iters left: 3 (41 enodes) 227.754 * * [simplify]: iters left: 2 (42 enodes) 227.764 * * [simplify]: Extracting #0: cost 1 inf + 0 227.764 * * [simplify]: Extracting #1: cost 6 inf + 0 227.764 * * [simplify]: Extracting #2: cost 9 inf + 1 227.764 * * [simplify]: Extracting #3: cost 11 inf + 1 227.764 * * [simplify]: Extracting #4: cost 10 inf + 2 227.764 * * [simplify]: Extracting #5: cost 2 inf + 1093 227.765 * * [simplify]: Extracting #6: cost 0 inf + 1376 227.765 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 227.765 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow n (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 227.765 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 227.766 * * [simplify]: iters left: 6 (14 enodes) 227.769 * * [simplify]: iters left: 5 (58 enodes) 227.780 * * [simplify]: iters left: 4 (101 enodes) 227.802 * * [simplify]: iters left: 3 (190 enodes) 227.866 * * [simplify]: iters left: 2 (495 enodes) 228.148 * * [simplify]: Extracting #0: cost 1 inf + 0 228.148 * * [simplify]: Extracting #1: cost 116 inf + 0 228.150 * * [simplify]: Extracting #2: cost 501 inf + 0 228.152 * * [simplify]: Extracting #3: cost 608 inf + 3 228.155 * * [simplify]: Extracting #4: cost 592 inf + 2948 228.162 * * [simplify]: Extracting #5: cost 476 inf + 54356 228.204 * * [simplify]: Extracting #6: cost 128 inf + 333162 228.281 * * [simplify]: Extracting #7: cost 0 inf + 446913 228.353 * * [simplify]: Extracting #8: cost 0 inf + 440387 228.441 * * [simplify]: Extracting #9: cost 0 inf + 440095 228.510 * [simplify]: Simplified to (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 2)) (cbrt (sqrt k)))) 228.510 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 2)) (cbrt (sqrt k)))))) 228.510 * * * * [progress]: [ 340 / 463 ] simplifiying candidate # 228.510 * [simplify]: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 228.510 * * [simplify]: iters left: 6 (14 enodes) 228.516 * * [simplify]: iters left: 5 (61 enodes) 228.537 * * [simplify]: iters left: 4 (111 enodes) 228.567 * * [simplify]: iters left: 3 (216 enodes) 228.648 * * [simplify]: Extracting #0: cost 1 inf + 0 228.648 * * [simplify]: Extracting #1: cost 32 inf + 0 228.649 * * [simplify]: Extracting #2: cost 99 inf + 1 228.649 * * [simplify]: Extracting #3: cost 136 inf + 2 228.650 * * [simplify]: Extracting #4: cost 128 inf + 1470 228.651 * * [simplify]: Extracting #5: cost 88 inf + 6237 228.654 * * [simplify]: Extracting #6: cost 45 inf + 23788 228.662 * * [simplify]: Extracting #7: cost 3 inf + 52070 228.677 * * [simplify]: Extracting #8: cost 0 inf + 54340 228.693 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 4)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 228.693 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* 2 PI) (/ (- 1 k) 4)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow n (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 228.694 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 228.694 * * [simplify]: iters left: 6 (15 enodes) 228.702 * * [simplify]: iters left: 5 (64 enodes) 228.718 * * [simplify]: iters left: 4 (111 enodes) 228.749 * * [simplify]: iters left: 3 (218 enodes) 228.847 * * [simplify]: Extracting #0: cost 1 inf + 0 228.847 * * [simplify]: Extracting #1: cost 38 inf + 0 228.848 * * [simplify]: Extracting #2: cost 127 inf + 0 228.849 * * [simplify]: Extracting #3: cost 171 inf + 2 228.850 * * [simplify]: Extracting #4: cost 159 inf + 1129 228.855 * * [simplify]: Extracting #5: cost 95 inf + 20733 228.872 * * [simplify]: Extracting #6: cost 14 inf + 72991 228.882 * * [simplify]: Extracting #7: cost 0 inf + 83475 228.892 * * [simplify]: Extracting #8: cost 0 inf + 83129 228.905 * [simplify]: Simplified to (* (/ (pow n (- 1/4 (/ k 4))) (/ (cbrt (sqrt k)) (pow (* 2 PI) (- 1/4 (/ k 4))))) (pow n (- 1/4 (/ k 4)))) 228.905 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (/ (pow n (- 1/4 (/ k 4))) (/ (cbrt (sqrt k)) (pow (* 2 PI) (- 1/4 (/ k 4))))) (pow n (- 1/4 (/ k 4)))))) 228.906 * * * * [progress]: [ 341 / 463 ] simplifiying candidate # 228.906 * [simplify]: Simplifying (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow 2 (/ (- 1 k) 2)))) 228.906 * * [simplify]: iters left: 6 (11 enodes) 228.913 * * [simplify]: iters left: 5 (47 enodes) 228.929 * * [simplify]: iters left: 4 (77 enodes) 228.956 * * [simplify]: iters left: 3 (132 enodes) 229.015 * * [simplify]: iters left: 2 (289 enodes) 229.121 * * [simplify]: Extracting #0: cost 1 inf + 0 229.121 * * [simplify]: Extracting #1: cost 41 inf + 0 229.122 * * [simplify]: Extracting #2: cost 120 inf + 1 229.123 * * [simplify]: Extracting #3: cost 165 inf + 4 229.124 * * [simplify]: Extracting #4: cost 158 inf + 1453 229.127 * * [simplify]: Extracting #5: cost 119 inf + 8058 229.134 * * [simplify]: Extracting #6: cost 75 inf + 27110 229.149 * * [simplify]: Extracting #7: cost 15 inf + 67597 229.169 * * [simplify]: Extracting #8: cost 0 inf + 78927 229.190 * [simplify]: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (fabs (cbrt k))) 229.190 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow 2 (- 1/2 (/ k 2))) (fabs (cbrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))))) 229.191 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))) 229.191 * * [simplify]: iters left: 6 (13 enodes) 229.198 * * [simplify]: iters left: 5 (54 enodes) 229.216 * * [simplify]: iters left: 4 (97 enodes) 229.243 * * [simplify]: iters left: 3 (190 enodes) 229.308 * * [simplify]: Extracting #0: cost 1 inf + 0 229.308 * * [simplify]: Extracting #1: cost 38 inf + 0 229.309 * * [simplify]: Extracting #2: cost 128 inf + 0 229.310 * * [simplify]: Extracting #3: cost 160 inf + 3 229.311 * * [simplify]: Extracting #4: cost 150 inf + 1174 229.315 * * [simplify]: Extracting #5: cost 103 inf + 16859 229.327 * * [simplify]: Extracting #6: cost 17 inf + 68992 229.343 * * [simplify]: Extracting #7: cost 0 inf + 79771 229.362 * * [simplify]: Extracting #8: cost 0 inf + 79353 229.371 * * [simplify]: Extracting #9: cost 0 inf + 79352 229.380 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))) 229.380 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow 2 (/ (- 1 k) 2)))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))))) 229.380 * * * * [progress]: [ 342 / 463 ] simplifiying candidate # 229.380 * [simplify]: Simplifying (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 229.380 * * [simplify]: iters left: 6 (15 enodes) 229.384 * * [simplify]: iters left: 5 (62 enodes) 229.400 * * [simplify]: iters left: 4 (98 enodes) 229.420 * * [simplify]: iters left: 3 (139 enodes) 229.444 * * [simplify]: iters left: 2 (222 enodes) 229.518 * * [simplify]: iters left: 1 (391 enodes) 229.656 * * [simplify]: Extracting #0: cost 1 inf + 0 229.656 * * [simplify]: Extracting #1: cost 10 inf + 0 229.656 * * [simplify]: Extracting #2: cost 19 inf + 1 229.656 * * [simplify]: Extracting #3: cost 46 inf + 1 229.657 * * [simplify]: Extracting #4: cost 114 inf + 3 229.658 * * [simplify]: Extracting #5: cost 157 inf + 416 229.661 * * [simplify]: Extracting #6: cost 106 inf + 9961 229.672 * * [simplify]: Extracting #7: cost 31 inf + 39549 229.688 * * [simplify]: Extracting #8: cost 3 inf + 60754 229.705 * * [simplify]: Extracting #9: cost 0 inf + 63435 229.723 * [simplify]: Simplified to (/ (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) (fabs (cbrt k))) 229.723 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) (fabs (cbrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 229.724 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 229.724 * * [simplify]: iters left: 6 (15 enodes) 229.729 * * [simplify]: iters left: 5 (61 enodes) 229.740 * * [simplify]: iters left: 4 (100 enodes) 229.757 * * [simplify]: iters left: 3 (172 enodes) 229.804 * * [simplify]: iters left: 2 (347 enodes) 229.897 * * [simplify]: Extracting #0: cost 1 inf + 0 229.897 * * [simplify]: Extracting #1: cost 60 inf + 0 229.898 * * [simplify]: Extracting #2: cost 175 inf + 0 229.900 * * [simplify]: Extracting #3: cost 240 inf + 3 229.902 * * [simplify]: Extracting #4: cost 248 inf + 4340 229.909 * * [simplify]: Extracting #5: cost 175 inf + 29608 229.925 * * [simplify]: Extracting #6: cost 95 inf + 83776 229.957 * * [simplify]: Extracting #7: cost 18 inf + 150853 229.985 * * [simplify]: Extracting #8: cost 0 inf + 166845 230.004 * [simplify]: Simplified to (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ (- 1 k) 2)) (sqrt (cbrt k)))) 230.004 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) (fabs (cbrt k))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ (- 1 k) 2)) (sqrt (cbrt k)))))) 230.004 * * * * [progress]: [ 343 / 463 ] simplifiying candidate # 230.004 * [simplify]: Simplifying (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 230.005 * * [simplify]: iters left: 6 (14 enodes) 230.011 * * [simplify]: iters left: 5 (57 enodes) 230.030 * * [simplify]: iters left: 4 (88 enodes) 230.052 * * [simplify]: iters left: 3 (121 enodes) 230.075 * * [simplify]: iters left: 2 (202 enodes) 230.148 * * [simplify]: iters left: 1 (355 enodes) 230.270 * * [simplify]: Extracting #0: cost 1 inf + 0 230.270 * * [simplify]: Extracting #1: cost 7 inf + 0 230.270 * * [simplify]: Extracting #2: cost 14 inf + 1 230.270 * * [simplify]: Extracting #3: cost 43 inf + 1 230.270 * * [simplify]: Extracting #4: cost 120 inf + 3 230.271 * * [simplify]: Extracting #5: cost 144 inf + 621 230.273 * * [simplify]: Extracting #6: cost 93 inf + 9883 230.282 * * [simplify]: Extracting #7: cost 31 inf + 32741 230.296 * * [simplify]: Extracting #8: cost 1 inf + 54484 230.305 * * [simplify]: Extracting #9: cost 0 inf + 55181 230.313 * * [simplify]: Extracting #10: cost 0 inf + 55102 230.326 * [simplify]: Simplified to (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (fabs (cbrt k))) 230.326 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (fabs (cbrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 230.326 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 230.326 * * [simplify]: iters left: 6 (15 enodes) 230.334 * * [simplify]: iters left: 5 (61 enodes) 230.346 * * [simplify]: iters left: 4 (101 enodes) 230.364 * * [simplify]: iters left: 3 (173 enodes) 230.425 * * [simplify]: iters left: 2 (344 enodes) 230.537 * * [simplify]: Extracting #0: cost 1 inf + 0 230.537 * * [simplify]: Extracting #1: cost 60 inf + 0 230.538 * * [simplify]: Extracting #2: cost 170 inf + 0 230.539 * * [simplify]: Extracting #3: cost 242 inf + 3 230.540 * * [simplify]: Extracting #4: cost 231 inf + 9107 230.547 * * [simplify]: Extracting #5: cost 112 inf + 71616 230.578 * * [simplify]: Extracting #6: cost 12 inf + 151632 230.601 * * [simplify]: Extracting #7: cost 0 inf + 160850 230.635 * * [simplify]: Extracting #8: cost 0 inf + 160719 230.675 * * [simplify]: Extracting #9: cost 0 inf + 160629 230.706 * [simplify]: Simplified to (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow n (/ (- 1 k) 2)))) 230.706 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (fabs (cbrt k))) (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow n (/ (- 1 k) 2)))))) 230.706 * * * * [progress]: [ 344 / 463 ] simplifiying candidate # 230.707 * [simplify]: Simplifying (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) 1)) 230.707 * * [simplify]: iters left: 6 (7 enodes) 230.709 * * [simplify]: iters left: 5 (23 enodes) 230.713 * * [simplify]: iters left: 4 (29 enodes) 230.717 * * [simplify]: Extracting #0: cost 1 inf + 0 230.717 * * [simplify]: Extracting #1: cost 4 inf + 0 230.717 * * [simplify]: Extracting #2: cost 6 inf + 1 230.717 * * [simplify]: Extracting #3: cost 9 inf + 1 230.717 * * [simplify]: Extracting #4: cost 8 inf + 2 230.717 * * [simplify]: Extracting #5: cost 2 inf + 689 230.718 * * [simplify]: Extracting #6: cost 0 inf + 972 230.718 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 230.718 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 230.718 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 230.718 * * [simplify]: iters left: 6 (14 enodes) 230.722 * * [simplify]: iters left: 5 (58 enodes) 230.739 * * [simplify]: iters left: 4 (101 enodes) 230.776 * * [simplify]: iters left: 3 (190 enodes) 230.829 * * [simplify]: iters left: 2 (495 enodes) 231.051 * * [simplify]: Extracting #0: cost 1 inf + 0 231.051 * * [simplify]: Extracting #1: cost 116 inf + 0 231.052 * * [simplify]: Extracting #2: cost 501 inf + 0 231.055 * * [simplify]: Extracting #3: cost 608 inf + 3 231.058 * * [simplify]: Extracting #4: cost 592 inf + 3028 231.064 * * [simplify]: Extracting #5: cost 476 inf + 54436 231.109 * * [simplify]: Extracting #6: cost 128 inf + 333242 231.174 * * [simplify]: Extracting #7: cost 0 inf + 446993 231.251 * * [simplify]: Extracting #8: cost 0 inf + 440467 231.315 * * [simplify]: Extracting #9: cost 0 inf + 440175 231.383 * [simplify]: Simplified to (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 2)) (sqrt (cbrt k)))) 231.383 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 2)) (sqrt (cbrt k)))))) 231.383 * * * * [progress]: [ 345 / 463 ] simplifiying candidate # 231.383 * [simplify]: Simplifying (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 231.383 * * [simplify]: iters left: 6 (14 enodes) 231.388 * * [simplify]: iters left: 5 (60 enodes) 231.402 * * [simplify]: iters left: 4 (97 enodes) 231.425 * * [simplify]: iters left: 3 (160 enodes) 231.460 * * [simplify]: iters left: 2 (322 enodes) 231.578 * * [simplify]: Extracting #0: cost 1 inf + 0 231.579 * * [simplify]: Extracting #1: cost 39 inf + 0 231.579 * * [simplify]: Extracting #2: cost 117 inf + 1 231.580 * * [simplify]: Extracting #3: cost 177 inf + 3 231.582 * * [simplify]: Extracting #4: cost 179 inf + 874 231.586 * * [simplify]: Extracting #5: cost 115 inf + 17138 231.598 * * [simplify]: Extracting #6: cost 55 inf + 40183 231.620 * * [simplify]: Extracting #7: cost 6 inf + 78338 231.642 * * [simplify]: Extracting #8: cost 0 inf + 83094 231.669 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/4 (/ k 4))) (fabs (cbrt k))) 231.669 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* 2 PI) (- 1/4 (/ k 4))) (fabs (cbrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 231.669 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 231.670 * * [simplify]: iters left: 6 (15 enodes) 231.678 * * [simplify]: iters left: 5 (64 enodes) 231.699 * * [simplify]: iters left: 4 (111 enodes) 231.738 * * [simplify]: iters left: 3 (218 enodes) 231.835 * * [simplify]: Extracting #0: cost 1 inf + 0 231.836 * * [simplify]: Extracting #1: cost 38 inf + 0 231.836 * * [simplify]: Extracting #2: cost 127 inf + 0 231.837 * * [simplify]: Extracting #3: cost 171 inf + 2 231.839 * * [simplify]: Extracting #4: cost 159 inf + 1169 231.842 * * [simplify]: Extracting #5: cost 95 inf + 20813 231.850 * * [simplify]: Extracting #6: cost 14 inf + 73071 231.860 * * [simplify]: Extracting #7: cost 0 inf + 83555 231.870 * * [simplify]: Extracting #8: cost 0 inf + 83209 231.891 * [simplify]: Simplified to (* (/ (pow n (- 1/4 (/ k 4))) (/ (sqrt (cbrt k)) (pow (* 2 PI) (- 1/4 (/ k 4))))) (pow n (- 1/4 (/ k 4)))) 231.891 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (/ (pow n (- 1/4 (/ k 4))) (/ (sqrt (cbrt k)) (pow (* 2 PI) (- 1/4 (/ k 4))))) (pow n (- 1/4 (/ k 4)))))) 231.891 * * * * [progress]: [ 346 / 463 ] simplifiying candidate # 231.891 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 231.892 * * [simplify]: iters left: 6 (10 enodes) 231.898 * * [simplify]: iters left: 5 (43 enodes) 231.913 * * [simplify]: iters left: 4 (73 enodes) 231.938 * * [simplify]: iters left: 3 (125 enodes) 231.997 * * [simplify]: iters left: 2 (279 enodes) 232.107 * * [simplify]: Extracting #0: cost 1 inf + 0 232.107 * * [simplify]: Extracting #1: cost 45 inf + 0 232.108 * * [simplify]: Extracting #2: cost 125 inf + 1 232.109 * * [simplify]: Extracting #3: cost 166 inf + 4 232.110 * * [simplify]: Extracting #4: cost 162 inf + 1669 232.112 * * [simplify]: Extracting #5: cost 97 inf + 22056 232.120 * * [simplify]: Extracting #6: cost 10 inf + 68797 232.130 * * [simplify]: Extracting #7: cost 0 inf + 75147 232.142 * * [simplify]: Extracting #8: cost 0 inf + 75106 232.162 * [simplify]: Simplified to (/ (pow 2 (/ (- 1 k) 2)) (sqrt (sqrt k))) 232.163 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow 2 (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 232.163 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 232.163 * * [simplify]: iters left: 6 (13 enodes) 232.174 * * [simplify]: iters left: 5 (54 enodes) 232.193 * * [simplify]: iters left: 4 (97 enodes) 232.227 * * [simplify]: iters left: 3 (190 enodes) 232.311 * * [simplify]: Extracting #0: cost 1 inf + 0 232.311 * * [simplify]: Extracting #1: cost 38 inf + 0 232.311 * * [simplify]: Extracting #2: cost 128 inf + 0 232.312 * * [simplify]: Extracting #3: cost 160 inf + 3 232.312 * * [simplify]: Extracting #4: cost 150 inf + 1094 232.314 * * [simplify]: Extracting #5: cost 103 inf + 16179 232.320 * * [simplify]: Extracting #6: cost 17 inf + 66872 232.334 * * [simplify]: Extracting #7: cost 0 inf + 77171 232.350 * * [simplify]: Extracting #8: cost 0 inf + 76753 232.359 * * [simplify]: Extracting #9: cost 0 inf + 76752 232.367 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 232.367 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow 2 (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 232.367 * * * * [progress]: [ 347 / 463 ] simplifiying candidate # 232.368 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 232.368 * * [simplify]: iters left: 6 (14 enodes) 232.372 * * [simplify]: iters left: 5 (58 enodes) 232.382 * * [simplify]: iters left: 4 (94 enodes) 232.402 * * [simplify]: iters left: 3 (135 enodes) 232.432 * * [simplify]: iters left: 2 (218 enodes) 232.491 * * [simplify]: iters left: 1 (385 enodes) 232.676 * * [simplify]: Extracting #0: cost 1 inf + 0 232.676 * * [simplify]: Extracting #1: cost 10 inf + 0 232.677 * * [simplify]: Extracting #2: cost 18 inf + 1 232.677 * * [simplify]: Extracting #3: cost 45 inf + 1 232.677 * * [simplify]: Extracting #4: cost 114 inf + 3 232.678 * * [simplify]: Extracting #5: cost 156 inf + 501 232.679 * * [simplify]: Extracting #6: cost 113 inf + 6345 232.684 * * [simplify]: Extracting #7: cost 38 inf + 31896 232.696 * * [simplify]: Extracting #8: cost 4 inf + 52885 232.724 * * [simplify]: Extracting #9: cost 0 inf + 54173 232.741 * * [simplify]: Extracting #10: cost 0 inf + 54123 232.757 * [simplify]: Simplified to (/ (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) (sqrt (sqrt k))) 232.757 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 232.757 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 232.757 * * [simplify]: iters left: 6 (15 enodes) 232.766 * * [simplify]: iters left: 5 (61 enodes) 232.787 * * [simplify]: iters left: 4 (100 enodes) 232.807 * * [simplify]: iters left: 3 (172 enodes) 232.840 * * [simplify]: iters left: 2 (347 enodes) 232.938 * * [simplify]: Extracting #0: cost 1 inf + 0 232.939 * * [simplify]: Extracting #1: cost 60 inf + 0 232.940 * * [simplify]: Extracting #2: cost 175 inf + 0 232.941 * * [simplify]: Extracting #3: cost 240 inf + 3 232.944 * * [simplify]: Extracting #4: cost 248 inf + 4140 232.951 * * [simplify]: Extracting #5: cost 175 inf + 28688 232.959 * * [simplify]: Extracting #6: cost 95 inf + 81416 232.975 * * [simplify]: Extracting #7: cost 18 inf + 147133 232.996 * * [simplify]: Extracting #8: cost 0 inf + 162845 233.015 * [simplify]: Simplified to (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k)))) 233.015 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k)))))) 233.015 * * * * [progress]: [ 348 / 463 ] simplifiying candidate # 233.016 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 233.016 * * [simplify]: iters left: 6 (13 enodes) 233.023 * * [simplify]: iters left: 5 (53 enodes) 233.040 * * [simplify]: iters left: 4 (84 enodes) 233.058 * * [simplify]: iters left: 3 (121 enodes) 233.084 * * [simplify]: iters left: 2 (203 enodes) 233.129 * * [simplify]: iters left: 1 (358 enodes) 233.304 * * [simplify]: Extracting #0: cost 1 inf + 0 233.304 * * [simplify]: Extracting #1: cost 7 inf + 0 233.304 * * [simplify]: Extracting #2: cost 13 inf + 1 233.304 * * [simplify]: Extracting #3: cost 41 inf + 1 233.305 * * [simplify]: Extracting #4: cost 111 inf + 3 233.306 * * [simplify]: Extracting #5: cost 140 inf + 667 233.309 * * [simplify]: Extracting #6: cost 104 inf + 4945 233.318 * * [simplify]: Extracting #7: cost 27 inf + 34565 233.335 * * [simplify]: Extracting #8: cost 0 inf + 57570 233.352 * * [simplify]: Extracting #9: cost 0 inf + 56704 233.369 * [simplify]: Simplified to (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt (sqrt k))) 233.369 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 233.370 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 233.370 * * [simplify]: iters left: 6 (15 enodes) 233.378 * * [simplify]: iters left: 5 (61 enodes) 233.398 * * [simplify]: iters left: 4 (101 enodes) 233.436 * * [simplify]: iters left: 3 (173 enodes) 233.496 * * [simplify]: iters left: 2 (344 enodes) 233.584 * * [simplify]: Extracting #0: cost 1 inf + 0 233.584 * * [simplify]: Extracting #1: cost 60 inf + 0 233.585 * * [simplify]: Extracting #2: cost 170 inf + 0 233.586 * * [simplify]: Extracting #3: cost 242 inf + 3 233.590 * * [simplify]: Extracting #4: cost 231 inf + 8787 233.604 * * [simplify]: Extracting #5: cost 112 inf + 69376 233.642 * * [simplify]: Extracting #6: cost 12 inf + 147832 233.680 * * [simplify]: Extracting #7: cost 0 inf + 156850 233.717 * * [simplify]: Extracting #8: cost 0 inf + 156719 233.757 * * [simplify]: Extracting #9: cost 0 inf + 156629 233.796 * [simplify]: Simplified to (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) 233.796 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))))) 233.796 * * * * [progress]: [ 349 / 463 ] simplifiying candidate # 233.796 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) 1)) 233.797 * * [simplify]: iters left: 6 (6 enodes) 233.802 * * [simplify]: iters left: 5 (20 enodes) 233.805 * * [simplify]: iters left: 4 (24 enodes) 233.808 * * [simplify]: Extracting #0: cost 1 inf + 0 233.808 * * [simplify]: Extracting #1: cost 4 inf + 0 233.809 * * [simplify]: Extracting #2: cost 5 inf + 1 233.809 * * [simplify]: Extracting #3: cost 7 inf + 1 233.809 * * [simplify]: Extracting #4: cost 6 inf + 2 233.809 * * [simplify]: Extracting #5: cost 0 inf + 490 233.809 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 233.809 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 233.809 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 233.809 * * [simplify]: iters left: 6 (14 enodes) 233.813 * * [simplify]: iters left: 5 (58 enodes) 233.823 * * [simplify]: iters left: 4 (101 enodes) 233.850 * * [simplify]: iters left: 3 (190 enodes) 233.917 * * [simplify]: iters left: 2 (495 enodes) 234.170 * * [simplify]: Extracting #0: cost 1 inf + 0 234.171 * * [simplify]: Extracting #1: cost 116 inf + 0 234.172 * * [simplify]: Extracting #2: cost 501 inf + 0 234.174 * * [simplify]: Extracting #3: cost 608 inf + 3 234.177 * * [simplify]: Extracting #4: cost 592 inf + 2788 234.187 * * [simplify]: Extracting #5: cost 476 inf + 53196 234.237 * * [simplify]: Extracting #6: cost 128 inf + 326522 234.330 * * [simplify]: Extracting #7: cost 0 inf + 437353 234.429 * * [simplify]: Extracting #8: cost 0 inf + 430827 234.494 * * [simplify]: Extracting #9: cost 0 inf + 430535 234.562 * [simplify]: Simplified to (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k)))) 234.563 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k)))))) 234.563 * * * * [progress]: [ 350 / 463 ] simplifiying candidate # 234.563 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 234.563 * * [simplify]: iters left: 6 (13 enodes) 234.571 * * [simplify]: iters left: 5 (56 enodes) 234.592 * * [simplify]: iters left: 4 (93 enodes) 234.628 * * [simplify]: iters left: 3 (159 enodes) 234.678 * * [simplify]: iters left: 2 (339 enodes) 234.785 * * [simplify]: Extracting #0: cost 1 inf + 0 234.786 * * [simplify]: Extracting #1: cost 51 inf + 0 234.786 * * [simplify]: Extracting #2: cost 131 inf + 1 234.787 * * [simplify]: Extracting #3: cost 184 inf + 3 234.789 * * [simplify]: Extracting #4: cost 172 inf + 1959 234.795 * * [simplify]: Extracting #5: cost 112 inf + 16706 234.815 * * [simplify]: Extracting #6: cost 28 inf + 67736 234.831 * * [simplify]: Extracting #7: cost 0 inf + 86553 234.842 * * [simplify]: Extracting #8: cost 0 inf + 85006 234.854 * * [simplify]: Extracting #9: cost 0 inf + 84916 234.866 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 4)) (sqrt (sqrt k))) 234.866 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* 2 PI) (/ (- 1 k) 4)) (sqrt (sqrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 234.866 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 234.867 * * [simplify]: iters left: 6 (15 enodes) 234.875 * * [simplify]: iters left: 5 (64 enodes) 234.896 * * [simplify]: iters left: 4 (111 enodes) 234.921 * * [simplify]: iters left: 3 (218 enodes) 234.968 * * [simplify]: Extracting #0: cost 1 inf + 0 234.968 * * [simplify]: Extracting #1: cost 38 inf + 0 234.968 * * [simplify]: Extracting #2: cost 127 inf + 0 234.969 * * [simplify]: Extracting #3: cost 171 inf + 2 234.969 * * [simplify]: Extracting #4: cost 159 inf + 1089 234.972 * * [simplify]: Extracting #5: cost 95 inf + 20173 234.979 * * [simplify]: Extracting #6: cost 14 inf + 70791 234.991 * * [simplify]: Extracting #7: cost 0 inf + 80955 235.000 * * [simplify]: Extracting #8: cost 0 inf + 80609 235.010 * [simplify]: Simplified to (* (/ (pow n (- 1/4 (/ k 4))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (- 1/4 (/ k 4))))) (pow n (- 1/4 (/ k 4)))) 235.010 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (/ (pow n (- 1/4 (/ k 4))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (- 1/4 (/ k 4))))) (pow n (- 1/4 (/ k 4)))))) 235.010 * * * * [progress]: [ 351 / 463 ] simplifiying candidate # 235.010 * [simplify]: Simplifying (/ 1 (/ (sqrt 1) (pow 2 (/ (- 1 k) 2)))) 235.010 * * [simplify]: iters left: 6 (9 enodes) 235.014 * * [simplify]: iters left: 5 (40 enodes) 235.022 * * [simplify]: iters left: 4 (69 enodes) 235.040 * * [simplify]: iters left: 3 (110 enodes) 235.060 * * [simplify]: iters left: 2 (203 enodes) 235.117 * * [simplify]: iters left: 1 (442 enodes) 235.353 * * [simplify]: Extracting #0: cost 1 inf + 0 235.353 * * [simplify]: Extracting #1: cost 44 inf + 0 235.353 * * [simplify]: Extracting #2: cost 178 inf + 3 235.354 * * [simplify]: Extracting #3: cost 220 inf + 7 235.356 * * [simplify]: Extracting #4: cost 194 inf + 5998 235.364 * * [simplify]: Extracting #5: cost 57 inf + 64428 235.384 * * [simplify]: Extracting #6: cost 0 inf + 97155 235.425 * * [simplify]: Extracting #7: cost 0 inf + 92519 235.456 * * [simplify]: Extracting #8: cost 0 inf + 91838 235.499 * [simplify]: Simplified to (pow 2 (/ (- 1 k) 2)) 235.499 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow 2 (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 235.499 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 235.500 * * [simplify]: iters left: 6 (12 enodes) 235.504 * * [simplify]: iters left: 5 (51 enodes) 235.513 * * [simplify]: iters left: 4 (90 enodes) 235.530 * * [simplify]: iters left: 3 (181 enodes) 235.620 * * [simplify]: Extracting #0: cost 1 inf + 0 235.620 * * [simplify]: Extracting #1: cost 38 inf + 0 235.621 * * [simplify]: Extracting #2: cost 127 inf + 0 235.622 * * [simplify]: Extracting #3: cost 156 inf + 45 235.623 * * [simplify]: Extracting #4: cost 149 inf + 1928 235.627 * * [simplify]: Extracting #5: cost 91 inf + 21734 235.640 * * [simplify]: Extracting #6: cost 7 inf + 71818 235.655 * * [simplify]: Extracting #7: cost 0 inf + 75903 235.670 * [simplify]: Simplified to (* (/ (pow n (/ (- 1 k) 2)) (sqrt k)) (pow PI (/ (- 1 k) 2))) 235.670 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow 2 (/ (- 1 k) 2)) (* (/ (pow n (/ (- 1 k) 2)) (sqrt k)) (pow PI (/ (- 1 k) 2))))) 235.670 * * * * [progress]: [ 352 / 463 ] simplifiying candidate # 235.671 * [simplify]: Simplifying (/ 1 (/ (sqrt 1) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 235.671 * * [simplify]: iters left: 6 (13 enodes) 235.679 * * [simplify]: iters left: 5 (55 enodes) 235.698 * * [simplify]: iters left: 4 (89 enodes) 235.729 * * [simplify]: iters left: 3 (131 enodes) 235.762 * * [simplify]: iters left: 2 (209 enodes) 235.810 * * [simplify]: iters left: 1 (377 enodes) 235.956 * * [simplify]: Extracting #0: cost 1 inf + 0 235.956 * * [simplify]: Extracting #1: cost 6 inf + 0 235.956 * * [simplify]: Extracting #2: cost 9 inf + 1 235.956 * * [simplify]: Extracting #3: cost 36 inf + 1 235.957 * * [simplify]: Extracting #4: cost 108 inf + 2 235.957 * * [simplify]: Extracting #5: cost 154 inf + 50 235.958 * * [simplify]: Extracting #6: cost 151 inf + 474 235.960 * * [simplify]: Extracting #7: cost 93 inf + 7012 235.966 * * [simplify]: Extracting #8: cost 32 inf + 40723 235.975 * * [simplify]: Extracting #9: cost 0 inf + 65501 235.990 * * [simplify]: Extracting #10: cost 0 inf + 64203 236.010 * * [simplify]: Extracting #11: cost 0 inf + 63610 236.030 * * [simplify]: Extracting #12: cost 0 inf + 63185 236.054 * * [simplify]: Extracting #13: cost 0 inf + 62974 236.066 * [simplify]: Simplified to (* (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2))))) 236.066 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2))))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 236.067 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 236.067 * * [simplify]: iters left: 6 (14 enodes) 236.071 * * [simplify]: iters left: 5 (58 enodes) 236.081 * * [simplify]: iters left: 4 (97 enodes) 236.106 * * [simplify]: iters left: 3 (165 enodes) 236.159 * * [simplify]: iters left: 2 (334 enodes) 236.265 * * [simplify]: Extracting #0: cost 1 inf + 0 236.266 * * [simplify]: Extracting #1: cost 61 inf + 0 236.266 * * [simplify]: Extracting #2: cost 173 inf + 0 236.268 * * [simplify]: Extracting #3: cost 237 inf + 45 236.271 * * [simplify]: Extracting #4: cost 226 inf + 9063 236.280 * * [simplify]: Extracting #5: cost 155 inf + 40750 236.292 * * [simplify]: Extracting #6: cost 102 inf + 72390 236.307 * * [simplify]: Extracting #7: cost 19 inf + 143233 236.334 * * [simplify]: Extracting #8: cost 0 inf + 161480 236.369 * * [simplify]: Extracting #9: cost 0 inf + 161349 236.400 * [simplify]: Simplified to (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ (- 1 k) 2)) (sqrt k))) 236.400 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt 1) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ (- 1 k) 2)) (sqrt k))))) 236.401 * * * * [progress]: [ 353 / 463 ] simplifiying candidate # 236.401 * [simplify]: Simplifying (/ 1 (/ (sqrt 1) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 236.401 * * [simplify]: iters left: 6 (12 enodes) 236.405 * * [simplify]: iters left: 5 (50 enodes) 236.414 * * [simplify]: iters left: 4 (74 enodes) 236.429 * * [simplify]: iters left: 3 (111 enodes) 236.467 * * [simplify]: iters left: 2 (200 enodes) 236.510 * * [simplify]: iters left: 1 (359 enodes) 236.638 * * [simplify]: Extracting #0: cost 1 inf + 0 236.638 * * [simplify]: Extracting #1: cost 6 inf + 0 236.638 * * [simplify]: Extracting #2: cost 29 inf + 1 236.639 * * [simplify]: Extracting #3: cost 109 inf + 2 236.639 * * [simplify]: Extracting #4: cost 146 inf + 51 236.640 * * [simplify]: Extracting #5: cost 144 inf + 674 236.641 * * [simplify]: Extracting #6: cost 91 inf + 6349 236.645 * * [simplify]: Extracting #7: cost 52 inf + 17356 236.652 * * [simplify]: Extracting #8: cost 8 inf + 51011 236.670 * * [simplify]: Extracting #9: cost 0 inf + 57693 236.681 * * [simplify]: Extracting #10: cost 0 inf + 55312 236.690 * * [simplify]: Extracting #11: cost 0 inf + 54125 236.700 * * [simplify]: Extracting #12: cost 0 inf + 53954 236.718 * [simplify]: Simplified to (sqrt (pow (* 2 PI) (* 1/2 (- 1 k)))) 236.718 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* 2 PI) (* 1/2 (- 1 k)))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 236.719 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 236.719 * * [simplify]: iters left: 6 (14 enodes) 236.727 * * [simplify]: iters left: 5 (58 enodes) 236.746 * * [simplify]: iters left: 4 (98 enodes) 236.777 * * [simplify]: iters left: 3 (166 enodes) 236.831 * * [simplify]: iters left: 2 (335 enodes) 236.923 * * [simplify]: Extracting #0: cost 1 inf + 0 236.924 * * [simplify]: Extracting #1: cost 66 inf + 0 236.924 * * [simplify]: Extracting #2: cost 183 inf + 0 236.925 * * [simplify]: Extracting #3: cost 250 inf + 45 236.927 * * [simplify]: Extracting #4: cost 243 inf + 6074 236.932 * * [simplify]: Extracting #5: cost 146 inf + 49131 236.942 * * [simplify]: Extracting #6: cost 81 inf + 89679 236.968 * * [simplify]: Extracting #7: cost 9 inf + 153685 237.010 * * [simplify]: Extracting #8: cost 0 inf + 161635 237.029 * [simplify]: Simplified to (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ (- 1 k) 2)) (sqrt k))) 237.029 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt 1) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ (- 1 k) 2)) (sqrt k))))) 237.029 * * * * [progress]: [ 354 / 463 ] simplifiying candidate # 237.029 * [simplify]: Simplifying (/ 1 (/ (sqrt 1) 1)) 237.029 * * [simplify]: iters left: 5 (4 enodes) 237.034 * * [simplify]: iters left: 4 (14 enodes) 237.035 * * [simplify]: iters left: 3 (16 enodes) 237.037 * * [simplify]: Extracting #0: cost 1 inf + 0 237.037 * * [simplify]: Extracting #1: cost 0 inf + 1 237.037 * [simplify]: Simplified to 1 237.037 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 237.037 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 237.038 * * [simplify]: iters left: 6 (13 enodes) 237.045 * * [simplify]: iters left: 5 (55 enodes) 237.063 * * [simplify]: iters left: 4 (98 enodes) 237.097 * * [simplify]: iters left: 3 (187 enodes) 237.162 * * [simplify]: Extracting #0: cost 1 inf + 0 237.162 * * [simplify]: Extracting #1: cost 38 inf + 0 237.164 * * [simplify]: Extracting #2: cost 129 inf + 0 237.164 * * [simplify]: Extracting #3: cost 161 inf + 44 237.166 * * [simplify]: Extracting #4: cost 144 inf + 1752 237.171 * * [simplify]: Extracting #5: cost 82 inf + 24648 237.186 * * [simplify]: Extracting #6: cost 10 inf + 71854 237.204 * * [simplify]: Extracting #7: cost 0 inf + 80166 237.222 * [simplify]: Simplified to (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 2)) (sqrt k))) 237.223 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 2)) (sqrt k))))) 237.223 * * * * [progress]: [ 355 / 463 ] simplifiying candidate # 237.223 * [simplify]: Simplifying (/ 1 (/ (sqrt 1) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 237.223 * * [simplify]: iters left: 6 (12 enodes) 237.231 * * [simplify]: iters left: 5 (53 enodes) 237.253 * * [simplify]: iters left: 4 (85 enodes) 237.281 * * [simplify]: iters left: 3 (145 enodes) 237.329 * * [simplify]: iters left: 2 (289 enodes) 237.397 * * [simplify]: Extracting #0: cost 1 inf + 0 237.397 * * [simplify]: Extracting #1: cost 22 inf + 0 237.398 * * [simplify]: Extracting #2: cost 91 inf + 2 237.398 * * [simplify]: Extracting #3: cost 135 inf + 51 237.398 * * [simplify]: Extracting #4: cost 127 inf + 1009 237.400 * * [simplify]: Extracting #5: cost 82 inf + 5775 237.403 * * [simplify]: Extracting #6: cost 28 inf + 28807 237.409 * * [simplify]: Extracting #7: cost 0 inf + 47705 237.415 * * [simplify]: Extracting #8: cost 0 inf + 47017 237.422 * [simplify]: Simplified to (pow (* 2 PI) (* 1/4 (- 1 k))) 237.422 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* 2 PI) (* 1/4 (- 1 k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 237.422 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 237.422 * * [simplify]: iters left: 6 (14 enodes) 237.426 * * [simplify]: iters left: 5 (61 enodes) 237.440 * * [simplify]: iters left: 4 (108 enodes) 237.463 * * [simplify]: iters left: 3 (215 enodes) 237.517 * * [simplify]: Extracting #0: cost 1 inf + 0 237.518 * * [simplify]: Extracting #1: cost 38 inf + 0 237.518 * * [simplify]: Extracting #2: cost 131 inf + 0 237.518 * * [simplify]: Extracting #3: cost 171 inf + 44 237.519 * * [simplify]: Extracting #4: cost 158 inf + 1557 237.522 * * [simplify]: Extracting #5: cost 92 inf + 24399 237.529 * * [simplify]: Extracting #6: cost 13 inf + 72558 237.538 * * [simplify]: Extracting #7: cost 0 inf + 80426 237.547 * * [simplify]: Extracting #8: cost 0 inf + 80340 237.563 * * [simplify]: Extracting #9: cost 0 inf + 79944 237.579 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 4)) (/ (sqrt k) (pow n (/ (- 1 k) 2)))) 237.579 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt 1) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* 2 PI) (/ (- 1 k) 4)) (/ (sqrt k) (pow n (/ (- 1 k) 2)))))) 237.579 * * * * [progress]: [ 356 / 463 ] simplifiying candidate # 237.580 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 237.580 * * [simplify]: iters left: 6 (10 enodes) 237.583 * * [simplify]: iters left: 5 (43 enodes) 237.591 * * [simplify]: iters left: 4 (73 enodes) 237.604 * * [simplify]: iters left: 3 (125 enodes) 237.640 * * [simplify]: iters left: 2 (279 enodes) 237.751 * * [simplify]: Extracting #0: cost 1 inf + 0 237.752 * * [simplify]: Extracting #1: cost 45 inf + 0 237.752 * * [simplify]: Extracting #2: cost 125 inf + 1 237.752 * * [simplify]: Extracting #3: cost 166 inf + 4 237.753 * * [simplify]: Extracting #4: cost 162 inf + 1669 237.756 * * [simplify]: Extracting #5: cost 97 inf + 22056 237.764 * * [simplify]: Extracting #6: cost 10 inf + 68797 237.773 * * [simplify]: Extracting #7: cost 0 inf + 75147 237.792 * * [simplify]: Extracting #8: cost 0 inf + 75106 237.812 * [simplify]: Simplified to (/ (pow 2 (/ (- 1 k) 2)) (sqrt (sqrt k))) 237.812 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow 2 (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 237.813 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 237.813 * * [simplify]: iters left: 6 (13 enodes) 237.824 * * [simplify]: iters left: 5 (54 enodes) 237.842 * * [simplify]: iters left: 4 (97 enodes) 237.875 * * [simplify]: iters left: 3 (190 enodes) 237.963 * * [simplify]: Extracting #0: cost 1 inf + 0 237.964 * * [simplify]: Extracting #1: cost 38 inf + 0 237.964 * * [simplify]: Extracting #2: cost 128 inf + 0 237.965 * * [simplify]: Extracting #3: cost 160 inf + 3 237.966 * * [simplify]: Extracting #4: cost 150 inf + 1094 237.969 * * [simplify]: Extracting #5: cost 103 inf + 16179 237.982 * * [simplify]: Extracting #6: cost 17 inf + 66872 238.000 * * [simplify]: Extracting #7: cost 0 inf + 77171 238.009 * * [simplify]: Extracting #8: cost 0 inf + 76753 238.018 * * [simplify]: Extracting #9: cost 0 inf + 76752 238.026 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 238.027 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow 2 (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 238.027 * * * * [progress]: [ 357 / 463 ] simplifiying candidate # 238.027 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 238.027 * * [simplify]: iters left: 6 (14 enodes) 238.031 * * [simplify]: iters left: 5 (58 enodes) 238.042 * * [simplify]: iters left: 4 (94 enodes) 238.058 * * [simplify]: iters left: 3 (135 enodes) 238.105 * * [simplify]: iters left: 2 (218 enodes) 238.187 * * [simplify]: iters left: 1 (385 enodes) 238.341 * * [simplify]: Extracting #0: cost 1 inf + 0 238.341 * * [simplify]: Extracting #1: cost 10 inf + 0 238.341 * * [simplify]: Extracting #2: cost 18 inf + 1 238.341 * * [simplify]: Extracting #3: cost 45 inf + 1 238.341 * * [simplify]: Extracting #4: cost 114 inf + 3 238.342 * * [simplify]: Extracting #5: cost 156 inf + 501 238.343 * * [simplify]: Extracting #6: cost 113 inf + 6345 238.348 * * [simplify]: Extracting #7: cost 38 inf + 31896 238.368 * * [simplify]: Extracting #8: cost 4 inf + 52885 238.393 * * [simplify]: Extracting #9: cost 0 inf + 54173 238.408 * * [simplify]: Extracting #10: cost 0 inf + 54123 238.430 * [simplify]: Simplified to (/ (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) (sqrt (sqrt k))) 238.431 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 238.431 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 238.431 * * [simplify]: iters left: 6 (15 enodes) 238.442 * * [simplify]: iters left: 5 (61 enodes) 238.463 * * [simplify]: iters left: 4 (100 enodes) 238.495 * * [simplify]: iters left: 3 (172 enodes) 238.535 * * [simplify]: iters left: 2 (347 enodes) 238.631 * * [simplify]: Extracting #0: cost 1 inf + 0 238.632 * * [simplify]: Extracting #1: cost 60 inf + 0 238.632 * * [simplify]: Extracting #2: cost 175 inf + 0 238.633 * * [simplify]: Extracting #3: cost 240 inf + 3 238.634 * * [simplify]: Extracting #4: cost 248 inf + 4140 238.641 * * [simplify]: Extracting #5: cost 175 inf + 28688 238.649 * * [simplify]: Extracting #6: cost 95 inf + 81416 238.665 * * [simplify]: Extracting #7: cost 18 inf + 147133 238.683 * * [simplify]: Extracting #8: cost 0 inf + 162845 238.707 * [simplify]: Simplified to (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k)))) 238.707 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k)))))) 238.707 * * * * [progress]: [ 358 / 463 ] simplifiying candidate # 238.707 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 238.708 * * [simplify]: iters left: 6 (13 enodes) 238.715 * * [simplify]: iters left: 5 (53 enodes) 238.733 * * [simplify]: iters left: 4 (84 enodes) 238.749 * * [simplify]: iters left: 3 (121 enodes) 238.771 * * [simplify]: iters left: 2 (203 enodes) 238.845 * * [simplify]: iters left: 1 (358 enodes) 239.018 * * [simplify]: Extracting #0: cost 1 inf + 0 239.018 * * [simplify]: Extracting #1: cost 7 inf + 0 239.019 * * [simplify]: Extracting #2: cost 13 inf + 1 239.019 * * [simplify]: Extracting #3: cost 41 inf + 1 239.019 * * [simplify]: Extracting #4: cost 111 inf + 3 239.021 * * [simplify]: Extracting #5: cost 140 inf + 667 239.023 * * [simplify]: Extracting #6: cost 104 inf + 4945 239.027 * * [simplify]: Extracting #7: cost 27 inf + 34565 239.036 * * [simplify]: Extracting #8: cost 0 inf + 57570 239.044 * * [simplify]: Extracting #9: cost 0 inf + 56704 239.057 * [simplify]: Simplified to (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt (sqrt k))) 239.057 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 239.057 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 239.057 * * [simplify]: iters left: 6 (15 enodes) 239.065 * * [simplify]: iters left: 5 (61 enodes) 239.084 * * [simplify]: iters left: 4 (101 enodes) 239.103 * * [simplify]: iters left: 3 (173 enodes) 239.146 * * [simplify]: iters left: 2 (344 enodes) 239.268 * * [simplify]: Extracting #0: cost 1 inf + 0 239.268 * * [simplify]: Extracting #1: cost 60 inf + 0 239.269 * * [simplify]: Extracting #2: cost 170 inf + 0 239.270 * * [simplify]: Extracting #3: cost 242 inf + 3 239.274 * * [simplify]: Extracting #4: cost 231 inf + 8787 239.288 * * [simplify]: Extracting #5: cost 112 inf + 69376 239.329 * * [simplify]: Extracting #6: cost 12 inf + 147832 239.353 * * [simplify]: Extracting #7: cost 0 inf + 156850 239.381 * * [simplify]: Extracting #8: cost 0 inf + 156719 239.412 * * [simplify]: Extracting #9: cost 0 inf + 156629 239.432 * [simplify]: Simplified to (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) 239.432 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))))) 239.432 * * * * [progress]: [ 359 / 463 ] simplifiying candidate # 239.432 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) 1)) 239.432 * * [simplify]: iters left: 6 (6 enodes) 239.437 * * [simplify]: iters left: 5 (20 enodes) 239.444 * * [simplify]: iters left: 4 (24 enodes) 239.451 * * [simplify]: Extracting #0: cost 1 inf + 0 239.451 * * [simplify]: Extracting #1: cost 4 inf + 0 239.451 * * [simplify]: Extracting #2: cost 5 inf + 1 239.451 * * [simplify]: Extracting #3: cost 7 inf + 1 239.451 * * [simplify]: Extracting #4: cost 6 inf + 2 239.451 * * [simplify]: Extracting #5: cost 0 inf + 490 239.451 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 239.451 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 239.452 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 239.452 * * [simplify]: iters left: 6 (14 enodes) 239.460 * * [simplify]: iters left: 5 (58 enodes) 239.480 * * [simplify]: iters left: 4 (101 enodes) 239.512 * * [simplify]: iters left: 3 (190 enodes) 239.558 * * [simplify]: iters left: 2 (495 enodes) 239.772 * * [simplify]: Extracting #0: cost 1 inf + 0 239.773 * * [simplify]: Extracting #1: cost 116 inf + 0 239.775 * * [simplify]: Extracting #2: cost 501 inf + 0 239.780 * * [simplify]: Extracting #3: cost 608 inf + 3 239.786 * * [simplify]: Extracting #4: cost 592 inf + 2788 239.804 * * [simplify]: Extracting #5: cost 476 inf + 53196 239.862 * * [simplify]: Extracting #6: cost 128 inf + 326522 239.932 * * [simplify]: Extracting #7: cost 0 inf + 437353 240.027 * * [simplify]: Extracting #8: cost 0 inf + 430827 240.090 * * [simplify]: Extracting #9: cost 0 inf + 430535 240.175 * [simplify]: Simplified to (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k)))) 240.175 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k)))))) 240.175 * * * * [progress]: [ 360 / 463 ] simplifiying candidate # 240.175 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 240.176 * * [simplify]: iters left: 6 (13 enodes) 240.180 * * [simplify]: iters left: 5 (56 enodes) 240.191 * * [simplify]: iters left: 4 (93 enodes) 240.210 * * [simplify]: iters left: 3 (159 enodes) 240.251 * * [simplify]: iters left: 2 (339 enodes) 240.362 * * [simplify]: Extracting #0: cost 1 inf + 0 240.363 * * [simplify]: Extracting #1: cost 51 inf + 0 240.363 * * [simplify]: Extracting #2: cost 131 inf + 1 240.364 * * [simplify]: Extracting #3: cost 184 inf + 3 240.365 * * [simplify]: Extracting #4: cost 172 inf + 1959 240.367 * * [simplify]: Extracting #5: cost 112 inf + 16706 240.382 * * [simplify]: Extracting #6: cost 28 inf + 67736 240.403 * * [simplify]: Extracting #7: cost 0 inf + 86553 240.415 * * [simplify]: Extracting #8: cost 0 inf + 85006 240.436 * * [simplify]: Extracting #9: cost 0 inf + 84916 240.460 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 4)) (sqrt (sqrt k))) 240.460 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* 2 PI) (/ (- 1 k) 4)) (sqrt (sqrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 240.460 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 240.461 * * [simplify]: iters left: 6 (15 enodes) 240.465 * * [simplify]: iters left: 5 (64 enodes) 240.477 * * [simplify]: iters left: 4 (111 enodes) 240.500 * * [simplify]: iters left: 3 (218 enodes) 240.579 * * [simplify]: Extracting #0: cost 1 inf + 0 240.579 * * [simplify]: Extracting #1: cost 38 inf + 0 240.579 * * [simplify]: Extracting #2: cost 127 inf + 0 240.580 * * [simplify]: Extracting #3: cost 171 inf + 2 240.582 * * [simplify]: Extracting #4: cost 159 inf + 1089 240.586 * * [simplify]: Extracting #5: cost 95 inf + 20173 240.593 * * [simplify]: Extracting #6: cost 14 inf + 70791 240.605 * * [simplify]: Extracting #7: cost 0 inf + 80955 240.615 * * [simplify]: Extracting #8: cost 0 inf + 80609 240.625 * [simplify]: Simplified to (* (/ (pow n (- 1/4 (/ k 4))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (- 1/4 (/ k 4))))) (pow n (- 1/4 (/ k 4)))) 240.625 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (/ (pow n (- 1/4 (/ k 4))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (- 1/4 (/ k 4))))) (pow n (- 1/4 (/ k 4)))))) 240.625 * * * * [progress]: [ 361 / 463 ] simplifiying candidate # 240.625 * [simplify]: Simplifying (/ 1 (/ 1 (pow 2 (/ (- 1 k) 2)))) 240.625 * * [simplify]: iters left: 6 (8 enodes) 240.628 * * [simplify]: iters left: 5 (35 enodes) 240.634 * * [simplify]: iters left: 4 (59 enodes) 240.645 * * [simplify]: iters left: 3 (102 enodes) 240.667 * * [simplify]: iters left: 2 (222 enodes) 240.749 * * [simplify]: Extracting #0: cost 1 inf + 0 240.750 * * [simplify]: Extracting #1: cost 30 inf + 0 240.750 * * [simplify]: Extracting #2: cost 87 inf + 3 240.751 * * [simplify]: Extracting #3: cost 133 inf + 5 240.752 * * [simplify]: Extracting #4: cost 121 inf + 2546 240.759 * * [simplify]: Extracting #5: cost 40 inf + 28709 240.774 * * [simplify]: Extracting #6: cost 1 inf + 49482 240.790 * * [simplify]: Extracting #7: cost 0 inf + 48772 240.806 * * [simplify]: Extracting #8: cost 0 inf + 48692 240.825 * [simplify]: Simplified to (pow 2 (/ (- 1 k) 2)) 240.825 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow 2 (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 240.826 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 240.826 * * [simplify]: iters left: 6 (12 enodes) 240.832 * * [simplify]: iters left: 5 (51 enodes) 240.849 * * [simplify]: iters left: 4 (90 enodes) 240.867 * * [simplify]: iters left: 3 (181 enodes) 240.946 * * [simplify]: Extracting #0: cost 1 inf + 0 240.947 * * [simplify]: Extracting #1: cost 38 inf + 0 240.947 * * [simplify]: Extracting #2: cost 127 inf + 0 240.948 * * [simplify]: Extracting #3: cost 156 inf + 45 240.949 * * [simplify]: Extracting #4: cost 149 inf + 1928 240.954 * * [simplify]: Extracting #5: cost 91 inf + 21734 240.968 * * [simplify]: Extracting #6: cost 7 inf + 71818 240.984 * * [simplify]: Extracting #7: cost 0 inf + 75903 241.000 * [simplify]: Simplified to (* (/ (pow n (/ (- 1 k) 2)) (sqrt k)) (pow PI (/ (- 1 k) 2))) 241.000 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow 2 (/ (- 1 k) 2)) (* (/ (pow n (/ (- 1 k) 2)) (sqrt k)) (pow PI (/ (- 1 k) 2))))) 241.001 * * * * [progress]: [ 362 / 463 ] simplifiying candidate # 241.001 * [simplify]: Simplifying (/ 1 (/ 1 (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 241.002 * * [simplify]: iters left: 6 (12 enodes) 241.009 * * [simplify]: iters left: 5 (50 enodes) 241.026 * * [simplify]: iters left: 4 (76 enodes) 241.051 * * [simplify]: iters left: 3 (121 enodes) 241.093 * * [simplify]: iters left: 2 (221 enodes) 241.158 * * [simplify]: iters left: 1 (385 enodes) 241.303 * * [simplify]: Extracting #0: cost 1 inf + 0 241.304 * * [simplify]: Extracting #1: cost 6 inf + 0 241.304 * * [simplify]: Extracting #2: cost 9 inf + 1 241.304 * * [simplify]: Extracting #3: cost 33 inf + 1 241.304 * * [simplify]: Extracting #4: cost 101 inf + 2 241.305 * * [simplify]: Extracting #5: cost 147 inf + 50 241.305 * * [simplify]: Extracting #6: cost 144 inf + 267 241.307 * * [simplify]: Extracting #7: cost 100 inf + 5506 241.312 * * [simplify]: Extracting #8: cost 41 inf + 28971 241.322 * * [simplify]: Extracting #9: cost 3 inf + 55461 241.332 * * [simplify]: Extracting #10: cost 0 inf + 56815 241.342 * [simplify]: Simplified to (* (cbrt (pow (* PI 2) (* 1/2 (- 1 k)))) (cbrt (pow (* PI 2) (* 1/2 (- 1 k))))) 241.342 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* PI 2) (* 1/2 (- 1 k)))) (cbrt (pow (* PI 2) (* 1/2 (- 1 k))))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 241.343 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 241.343 * * [simplify]: iters left: 6 (14 enodes) 241.347 * * [simplify]: iters left: 5 (58 enodes) 241.364 * * [simplify]: iters left: 4 (97 enodes) 241.395 * * [simplify]: iters left: 3 (165 enodes) 241.430 * * [simplify]: iters left: 2 (334 enodes) 241.536 * * [simplify]: Extracting #0: cost 1 inf + 0 241.536 * * [simplify]: Extracting #1: cost 61 inf + 0 241.537 * * [simplify]: Extracting #2: cost 173 inf + 0 241.538 * * [simplify]: Extracting #3: cost 237 inf + 45 241.539 * * [simplify]: Extracting #4: cost 226 inf + 9063 241.544 * * [simplify]: Extracting #5: cost 155 inf + 40750 241.559 * * [simplify]: Extracting #6: cost 102 inf + 72390 241.575 * * [simplify]: Extracting #7: cost 19 inf + 143233 241.596 * * [simplify]: Extracting #8: cost 0 inf + 161480 241.616 * * [simplify]: Extracting #9: cost 0 inf + 161349 241.634 * [simplify]: Simplified to (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ (- 1 k) 2)) (sqrt k))) 241.634 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ 1 (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ (- 1 k) 2)) (sqrt k))))) 241.634 * * * * [progress]: [ 363 / 463 ] simplifiying candidate # 241.634 * [simplify]: Simplifying (/ 1 (/ 1 (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 241.634 * * [simplify]: iters left: 6 (11 enodes) 241.639 * * [simplify]: iters left: 5 (45 enodes) 241.647 * * [simplify]: iters left: 4 (68 enodes) 241.670 * * [simplify]: iters left: 3 (108 enodes) 241.693 * * [simplify]: iters left: 2 (196 enodes) 241.749 * * [simplify]: iters left: 1 (359 enodes) 241.877 * * [simplify]: Extracting #0: cost 1 inf + 0 241.877 * * [simplify]: Extracting #1: cost 6 inf + 0 241.877 * * [simplify]: Extracting #2: cost 33 inf + 1 241.878 * * [simplify]: Extracting #3: cost 108 inf + 2 241.879 * * [simplify]: Extracting #4: cost 146 inf + 51 241.880 * * [simplify]: Extracting #5: cost 148 inf + 183 241.883 * * [simplify]: Extracting #6: cost 96 inf + 7710 241.894 * * [simplify]: Extracting #7: cost 25 inf + 36015 241.904 * * [simplify]: Extracting #8: cost 0 inf + 55773 241.914 * * [simplify]: Extracting #9: cost 0 inf + 53977 241.924 * * [simplify]: Extracting #10: cost 0 inf + 53927 241.934 * [simplify]: Simplified to (sqrt (pow (* PI 2) (- 1/2 (/ k 2)))) 241.934 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* PI 2) (- 1/2 (/ k 2)))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 241.934 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 241.934 * * [simplify]: iters left: 6 (14 enodes) 241.938 * * [simplify]: iters left: 5 (58 enodes) 241.956 * * [simplify]: iters left: 4 (98 enodes) 241.989 * * [simplify]: iters left: 3 (166 enodes) 242.049 * * [simplify]: iters left: 2 (335 enodes) 242.165 * * [simplify]: Extracting #0: cost 1 inf + 0 242.166 * * [simplify]: Extracting #1: cost 66 inf + 0 242.167 * * [simplify]: Extracting #2: cost 183 inf + 0 242.168 * * [simplify]: Extracting #3: cost 250 inf + 45 242.170 * * [simplify]: Extracting #4: cost 243 inf + 6074 242.180 * * [simplify]: Extracting #5: cost 146 inf + 49131 242.200 * * [simplify]: Extracting #6: cost 81 inf + 89679 242.225 * * [simplify]: Extracting #7: cost 9 inf + 153685 242.247 * * [simplify]: Extracting #8: cost 0 inf + 161635 242.271 * [simplify]: Simplified to (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ (- 1 k) 2)) (sqrt k))) 242.271 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ 1 (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ (- 1 k) 2)) (sqrt k))))) 242.271 * * * * [progress]: [ 364 / 463 ] simplifiying candidate # 242.272 * [simplify]: Simplifying (/ 1 (/ 1 1)) 242.272 * * [simplify]: iters left: 4 (3 enodes) 242.273 * * [simplify]: iters left: 3 (7 enodes) 242.274 * * [simplify]: iters left: 2 (9 enodes) 242.276 * * [simplify]: Extracting #0: cost 1 inf + 0 242.276 * * [simplify]: Extracting #1: cost 0 inf + 1 242.276 * [simplify]: Simplified to 1 242.276 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 242.276 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 242.276 * * [simplify]: iters left: 6 (13 enodes) 242.281 * * [simplify]: iters left: 5 (55 enodes) 242.291 * * [simplify]: iters left: 4 (98 enodes) 242.325 * * [simplify]: iters left: 3 (187 enodes) 242.391 * * [simplify]: Extracting #0: cost 1 inf + 0 242.391 * * [simplify]: Extracting #1: cost 38 inf + 0 242.392 * * [simplify]: Extracting #2: cost 129 inf + 0 242.393 * * [simplify]: Extracting #3: cost 161 inf + 44 242.394 * * [simplify]: Extracting #4: cost 144 inf + 1752 242.400 * * [simplify]: Extracting #5: cost 82 inf + 24648 242.414 * * [simplify]: Extracting #6: cost 10 inf + 71854 242.425 * * [simplify]: Extracting #7: cost 0 inf + 80166 242.433 * [simplify]: Simplified to (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 2)) (sqrt k))) 242.434 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 2)) (sqrt k))))) 242.434 * * * * [progress]: [ 365 / 463 ] simplifiying candidate # 242.434 * [simplify]: Simplifying (/ 1 (/ 1 (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 242.434 * * [simplify]: iters left: 6 (11 enodes) 242.441 * * [simplify]: iters left: 5 (48 enodes) 242.453 * * [simplify]: iters left: 4 (76 enodes) 242.480 * * [simplify]: iters left: 3 (129 enodes) 242.529 * * [simplify]: iters left: 2 (266 enodes) 242.610 * * [simplify]: Extracting #0: cost 1 inf + 0 242.611 * * [simplify]: Extracting #1: cost 29 inf + 0 242.611 * * [simplify]: Extracting #2: cost 97 inf + 2 242.612 * * [simplify]: Extracting #3: cost 148 inf + 50 242.613 * * [simplify]: Extracting #4: cost 140 inf + 1088 242.617 * * [simplify]: Extracting #5: cost 82 inf + 9766 242.627 * * [simplify]: Extracting #6: cost 17 inf + 43995 242.643 * * [simplify]: Extracting #7: cost 0 inf + 56795 242.658 * * [simplify]: Extracting #8: cost 0 inf + 56543 242.666 * [simplify]: Simplified to (pow (* PI 2) (/ (- 1 k) 4)) 242.666 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* PI 2) (/ (- 1 k) 4)) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 242.666 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 242.667 * * [simplify]: iters left: 6 (14 enodes) 242.674 * * [simplify]: iters left: 5 (61 enodes) 242.686 * * [simplify]: iters left: 4 (108 enodes) 242.715 * * [simplify]: iters left: 3 (215 enodes) 242.781 * * [simplify]: Extracting #0: cost 1 inf + 0 242.782 * * [simplify]: Extracting #1: cost 38 inf + 0 242.782 * * [simplify]: Extracting #2: cost 131 inf + 0 242.783 * * [simplify]: Extracting #3: cost 171 inf + 44 242.783 * * [simplify]: Extracting #4: cost 158 inf + 1557 242.786 * * [simplify]: Extracting #5: cost 92 inf + 24399 242.794 * * [simplify]: Extracting #6: cost 13 inf + 72558 242.803 * * [simplify]: Extracting #7: cost 0 inf + 80426 242.819 * * [simplify]: Extracting #8: cost 0 inf + 80340 242.837 * * [simplify]: Extracting #9: cost 0 inf + 79944 242.852 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 4)) (/ (sqrt k) (pow n (/ (- 1 k) 2)))) 242.853 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ 1 (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* 2 PI) (/ (- 1 k) 4)) (/ (sqrt k) (pow n (/ (- 1 k) 2)))))) 242.853 * * * * [progress]: [ 366 / 463 ] simplifiying candidate # 242.853 * [simplify]: Simplifying (/ 1 1) 242.853 * * [simplify]: iters left: 2 (2 enodes) 242.854 * * [simplify]: iters left: 1 (6 enodes) 242.855 * * [simplify]: Extracting #0: cost 1 inf + 0 242.855 * * [simplify]: Extracting #1: cost 0 inf + 1 242.855 * [simplify]: Simplified to 1 242.855 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 242.856 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 242.856 * * [simplify]: iters left: 6 (13 enodes) 242.859 * * [simplify]: iters left: 5 (55 enodes) 242.870 * * [simplify]: iters left: 4 (98 enodes) 242.899 * * [simplify]: iters left: 3 (187 enodes) 242.975 * * [simplify]: Extracting #0: cost 1 inf + 0 242.975 * * [simplify]: Extracting #1: cost 38 inf + 0 242.976 * * [simplify]: Extracting #2: cost 129 inf + 0 242.976 * * [simplify]: Extracting #3: cost 161 inf + 44 242.977 * * [simplify]: Extracting #4: cost 144 inf + 1752 242.980 * * [simplify]: Extracting #5: cost 82 inf + 24648 242.987 * * [simplify]: Extracting #6: cost 10 inf + 71854 243.003 * * [simplify]: Extracting #7: cost 0 inf + 80166 243.021 * [simplify]: Simplified to (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 2)) (sqrt k))) 243.021 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 2)) (sqrt k))))) 243.022 * * * * [progress]: [ 367 / 463 ] simplifiying candidate # 243.022 * [simplify]: Simplifying (/ 1 (sqrt k)) 243.022 * * [simplify]: iters left: 3 (4 enodes) 243.024 * * [simplify]: iters left: 2 (14 enodes) 243.029 * * [simplify]: iters left: 1 (16 enodes) 243.034 * * [simplify]: Extracting #0: cost 1 inf + 0 243.034 * * [simplify]: Extracting #1: cost 4 inf + 0 243.034 * * [simplify]: Extracting #2: cost 5 inf + 1 243.034 * * [simplify]: Extracting #3: cost 3 inf + 43 243.034 * * [simplify]: Extracting #4: cost 1 inf + 166 243.034 * * [simplify]: Extracting #5: cost 0 inf + 248 243.035 * [simplify]: Simplified to (/ 1 (sqrt k)) 243.035 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (pow n (/ (- 1 k) 2)) (/ 1 (pow (* 2 PI) (/ (- 1 k) 2)))))) 243.035 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ 1 (pow (* 2 PI) (/ (- 1 k) 2)))) 243.035 * * [simplify]: iters left: 6 (12 enodes) 243.042 * * [simplify]: iters left: 5 (52 enodes) 243.059 * * [simplify]: iters left: 4 (87 enodes) 243.091 * * [simplify]: iters left: 3 (180 enodes) 243.177 * * [simplify]: Extracting #0: cost 1 inf + 0 243.178 * * [simplify]: Extracting #1: cost 41 inf + 0 243.178 * * [simplify]: Extracting #2: cost 123 inf + 1 243.179 * * [simplify]: Extracting #3: cost 158 inf + 3 243.179 * * [simplify]: Extracting #4: cost 158 inf + 53 243.180 * * [simplify]: Extracting #5: cost 145 inf + 1640 243.182 * * [simplify]: Extracting #6: cost 81 inf + 24678 243.190 * * [simplify]: Extracting #7: cost 11 inf + 67989 243.200 * * [simplify]: Extracting #8: cost 0 inf + 75786 243.214 * [simplify]: Simplified to (* (pow (* PI 2) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) 243.214 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* PI 2) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))))) 243.214 * * * * [progress]: [ 368 / 463 ] simplifiying candidate # 243.214 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (pow (* 2 PI) (/ 1 2)))) 243.214 * * [simplify]: iters left: 6 (10 enodes) 243.218 * * [simplify]: iters left: 5 (40 enodes) 243.227 * * [simplify]: iters left: 4 (69 enodes) 243.246 * * [simplify]: iters left: 3 (128 enodes) 243.278 * * [simplify]: iters left: 2 (245 enodes) 243.403 * * [simplify]: Extracting #0: cost 1 inf + 0 243.403 * * [simplify]: Extracting #1: cost 38 inf + 0 243.403 * * [simplify]: Extracting #2: cost 108 inf + 1 243.404 * * [simplify]: Extracting #3: cost 105 inf + 91 243.404 * * [simplify]: Extracting #4: cost 93 inf + 1386 243.407 * * [simplify]: Extracting #5: cost 29 inf + 32969 243.412 * * [simplify]: Extracting #6: cost 0 inf + 48370 243.418 * [simplify]: Simplified to (/ (sqrt (* 2 PI)) (sqrt k)) 243.418 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* 2 PI)) (sqrt k)) (/ (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ k 2))))) 243.418 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ k 2))) 243.418 * * [simplify]: iters left: 6 (12 enodes) 243.422 * * [simplify]: iters left: 5 (50 enodes) 243.436 * * [simplify]: iters left: 4 (88 enodes) 243.459 * * [simplify]: iters left: 3 (176 enodes) 243.506 * * [simplify]: iters left: 2 (489 enodes) 243.829 * * [simplify]: Extracting #0: cost 1 inf + 0 243.829 * * [simplify]: Extracting #1: cost 153 inf + 0 243.831 * * [simplify]: Extracting #2: cost 514 inf + 0 243.833 * * [simplify]: Extracting #3: cost 630 inf + 3 243.836 * * [simplify]: Extracting #4: cost 601 inf + 5719 243.847 * * [simplify]: Extracting #5: cost 415 inf + 117580 243.904 * * [simplify]: Extracting #6: cost 58 inf + 442947 244.008 * * [simplify]: Extracting #7: cost 0 inf + 487496 244.097 * * [simplify]: Extracting #8: cost 0 inf + 480392 244.217 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (pow (* PI 2) (/ k 2))) 244.217 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* 2 PI)) (sqrt k)) (/ (pow n (/ (- 1 k) 2)) (pow (* PI 2) (/ k 2))))) 244.218 * * * * [progress]: [ 369 / 463 ] simplifiying candidate # 244.218 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (* (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 244.218 * * [simplify]: iters left: 6 (16 enodes) 244.227 * * [simplify]: iters left: 5 (67 enodes) 244.252 * * [simplify]: iters left: 4 (111 enodes) 244.290 * * [simplify]: iters left: 3 (201 enodes) 244.340 * * [simplify]: iters left: 2 (417 enodes) 244.494 * * [simplify]: Extracting #0: cost 1 inf + 0 244.494 * * [simplify]: Extracting #1: cost 54 inf + 0 244.495 * * [simplify]: Extracting #2: cost 149 inf + 0 244.497 * * [simplify]: Extracting #3: cost 233 inf + 3 244.499 * * [simplify]: Extracting #4: cost 265 inf + 13 244.501 * * [simplify]: Extracting #5: cost 267 inf + 3415 244.505 * * [simplify]: Extracting #6: cost 204 inf + 13851 244.512 * * [simplify]: Extracting #7: cost 105 inf + 71809 244.535 * * [simplify]: Extracting #8: cost 30 inf + 142526 244.580 * * [simplify]: Extracting #9: cost 0 inf + 172894 244.626 * * [simplify]: Extracting #10: cost 0 inf + 172392 244.673 * [simplify]: Simplified to (/ (pow n (* 1/4 (- 1 k))) (* (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 244.673 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (* 1/4 (- 1 k))) (* (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))))) 244.674 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 244.674 * * [simplify]: iters left: 6 (15 enodes) 244.684 * * [simplify]: iters left: 5 (62 enodes) 244.706 * * [simplify]: iters left: 4 (100 enodes) 244.740 * * [simplify]: iters left: 3 (175 enodes) 244.787 * * [simplify]: iters left: 2 (341 enodes) 244.869 * * [simplify]: Extracting #0: cost 1 inf + 0 244.869 * * [simplify]: Extracting #1: cost 30 inf + 0 244.869 * * [simplify]: Extracting #2: cost 75 inf + 0 244.869 * * [simplify]: Extracting #3: cost 144 inf + 3 244.870 * * [simplify]: Extracting #4: cost 173 inf + 13 244.871 * * [simplify]: Extracting #5: cost 181 inf + 2716 244.876 * * [simplify]: Extracting #6: cost 90 inf + 28592 244.894 * * [simplify]: Extracting #7: cost 6 inf + 85928 244.919 * * [simplify]: Extracting #8: cost 0 inf + 89957 244.940 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 4)) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 244.940 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (* (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) (/ (pow n (/ (- 1 k) 4)) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))))) 244.940 * * * * [progress]: [ 370 / 463 ] simplifiying candidate # 244.941 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 244.941 * * [simplify]: iters left: 6 (15 enodes) 244.950 * * [simplify]: iters left: 5 (62 enodes) 244.971 * * [simplify]: iters left: 4 (100 enodes) 245.005 * * [simplify]: iters left: 3 (175 enodes) 245.047 * * [simplify]: iters left: 2 (341 enodes) 245.158 * * [simplify]: Extracting #0: cost 1 inf + 0 245.158 * * [simplify]: Extracting #1: cost 30 inf + 0 245.158 * * [simplify]: Extracting #2: cost 75 inf + 0 245.158 * * [simplify]: Extracting #3: cost 144 inf + 3 245.159 * * [simplify]: Extracting #4: cost 173 inf + 13 245.160 * * [simplify]: Extracting #5: cost 181 inf + 2716 245.164 * * [simplify]: Extracting #6: cost 90 inf + 28272 245.173 * * [simplify]: Extracting #7: cost 6 inf + 84528 245.190 * * [simplify]: Extracting #8: cost 0 inf + 88477 245.206 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 4)) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 245.206 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 4)) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))))) 245.206 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 245.207 * * [simplify]: iters left: 6 (15 enodes) 245.211 * * [simplify]: iters left: 5 (62 enodes) 245.223 * * [simplify]: iters left: 4 (100 enodes) 245.249 * * [simplify]: iters left: 3 (175 enodes) 245.315 * * [simplify]: iters left: 2 (341 enodes) 245.402 * * [simplify]: Extracting #0: cost 1 inf + 0 245.402 * * [simplify]: Extracting #1: cost 30 inf + 0 245.402 * * [simplify]: Extracting #2: cost 75 inf + 0 245.403 * * [simplify]: Extracting #3: cost 144 inf + 3 245.404 * * [simplify]: Extracting #4: cost 173 inf + 13 245.406 * * [simplify]: Extracting #5: cost 181 inf + 2716 245.411 * * [simplify]: Extracting #6: cost 90 inf + 28272 245.420 * * [simplify]: Extracting #7: cost 6 inf + 84528 245.431 * * [simplify]: Extracting #8: cost 0 inf + 88477 245.441 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 4)) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 245.441 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (pow n (/ (- 1 k) 4)) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))))) 245.441 * * * * [progress]: [ 371 / 463 ] simplifiying candidate # 245.442 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (/ (- 1 k) 2)))) 245.442 * * [simplify]: iters left: 6 (14 enodes) 245.450 * * [simplify]: iters left: 5 (62 enodes) 245.476 * * [simplify]: iters left: 4 (121 enodes) 245.503 * * [simplify]: iters left: 3 (305 enodes) 245.648 * * [simplify]: Extracting #0: cost 1 inf + 0 245.648 * * [simplify]: Extracting #1: cost 73 inf + 0 245.649 * * [simplify]: Extracting #2: cost 237 inf + 0 245.653 * * [simplify]: Extracting #3: cost 294 inf + 3 245.656 * * [simplify]: Extracting #4: cost 247 inf + 16602 245.667 * * [simplify]: Extracting #5: cost 83 inf + 113762 245.690 * * [simplify]: Extracting #6: cost 2 inf + 171283 245.711 * * [simplify]: Extracting #7: cost 0 inf + 169756 245.744 * * [simplify]: Extracting #8: cost 0 inf + 169516 245.785 * [simplify]: Simplified to (/ (/ (pow 2 (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow n (/ (- 1 k) 4)))) (cbrt (sqrt k))) 245.786 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow 2 (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow n (/ (- 1 k) 4)))) (cbrt (sqrt k))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 245.786 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 245.786 * * [simplify]: iters left: 6 (14 enodes) 245.794 * * [simplify]: iters left: 5 (60 enodes) 245.806 * * [simplify]: iters left: 4 (107 enodes) 245.826 * * [simplify]: iters left: 3 (216 enodes) 245.881 * * [simplify]: Extracting #0: cost 1 inf + 0 245.881 * * [simplify]: Extracting #1: cost 38 inf + 0 245.882 * * [simplify]: Extracting #2: cost 131 inf + 0 245.882 * * [simplify]: Extracting #3: cost 178 inf + 3 245.883 * * [simplify]: Extracting #4: cost 169 inf + 1428 245.885 * * [simplify]: Extracting #5: cost 104 inf + 17148 245.895 * * [simplify]: Extracting #6: cost 29 inf + 62759 245.910 * * [simplify]: Extracting #7: cost 0 inf + 84184 245.920 * * [simplify]: Extracting #8: cost 0 inf + 83161 245.930 * * [simplify]: Extracting #9: cost 0 inf + 82988 245.940 * [simplify]: Simplified to (/ (* (pow PI (- 1/4 (/ k 4))) (pow n (- 1/4 (/ k 4)))) (/ (cbrt (sqrt k)) (pow PI (- 1/4 (/ k 4))))) 245.940 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (/ (- 1 k) 2)))) (/ (* (pow PI (- 1/4 (/ k 4))) (pow n (- 1/4 (/ k 4)))) (/ (cbrt (sqrt k)) (pow PI (- 1/4 (/ k 4))))))) 245.940 * * * * [progress]: [ 372 / 463 ] simplifiying candidate # 245.940 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 245.940 * * [simplify]: iters left: 6 (18 enodes) 245.949 * * [simplify]: iters left: 5 (79 enodes) 245.976 * * [simplify]: iters left: 4 (147 enodes) 246.024 * * [simplify]: iters left: 3 (313 enodes) 246.133 * * [simplify]: Extracting #0: cost 1 inf + 0 246.134 * * [simplify]: Extracting #1: cost 64 inf + 0 246.134 * * [simplify]: Extracting #2: cost 173 inf + 0 246.135 * * [simplify]: Extracting #3: cost 225 inf + 1 246.137 * * [simplify]: Extracting #4: cost 215 inf + 7213 246.145 * * [simplify]: Extracting #5: cost 126 inf + 44988 246.171 * * [simplify]: Extracting #6: cost 24 inf + 121729 246.199 * * [simplify]: Extracting #7: cost 0 inf + 142501 246.223 * * [simplify]: Extracting #8: cost 0 inf + 142461 246.255 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 4)) (* (/ (cbrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))) 246.255 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 4)) (* (/ (cbrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (cbrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 246.255 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (cbrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 246.255 * * [simplify]: iters left: 6 (16 enodes) 246.264 * * [simplify]: iters left: 5 (67 enodes) 246.280 * * [simplify]: iters left: 4 (107 enodes) 246.301 * * [simplify]: iters left: 3 (192 enodes) 246.374 * * [simplify]: iters left: 2 (407 enodes) 246.492 * * [simplify]: Extracting #0: cost 1 inf + 0 246.492 * * [simplify]: Extracting #1: cost 60 inf + 0 246.493 * * [simplify]: Extracting #2: cost 177 inf + 0 246.495 * * [simplify]: Extracting #3: cost 263 inf + 3 246.497 * * [simplify]: Extracting #4: cost 275 inf + 2495 246.505 * * [simplify]: Extracting #5: cost 191 inf + 34958 246.515 * * [simplify]: Extracting #6: cost 96 inf + 88162 246.540 * * [simplify]: Extracting #7: cost 17 inf + 160435 246.580 * * [simplify]: Extracting #8: cost 1 inf + 171855 246.617 * * [simplify]: Extracting #9: cost 0 inf + 171802 246.638 * [simplify]: Simplified to (* (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 8))) (/ (pow n (/ (- 1 k) 8)) (cbrt (sqrt k)))) 246.638 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (* (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 8))) (/ (pow n (/ (- 1 k) 8)) (cbrt (sqrt k)))))) 246.639 * * * * [progress]: [ 373 / 463 ] simplifiying candidate # 246.639 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 246.640 * * [simplify]: iters left: 6 (17 enodes) 246.649 * * [simplify]: iters left: 5 (72 enodes) 246.669 * * [simplify]: iters left: 4 (122 enodes) 246.691 * * [simplify]: iters left: 3 (245 enodes) 246.765 * * [simplify]: Extracting #0: cost 1 inf + 0 246.765 * * [simplify]: Extracting #1: cost 45 inf + 0 246.765 * * [simplify]: Extracting #2: cost 117 inf + 0 246.766 * * [simplify]: Extracting #3: cost 170 inf + 1 246.767 * * [simplify]: Extracting #4: cost 176 inf + 1004 246.769 * * [simplify]: Extracting #5: cost 123 inf + 13536 246.775 * * [simplify]: Extracting #6: cost 33 inf + 64017 246.787 * * [simplify]: Extracting #7: cost 1 inf + 89862 246.801 * * [simplify]: Extracting #8: cost 0 inf + 89649 246.812 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 4)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))) 246.813 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 4)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (cbrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 246.813 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (cbrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 246.813 * * [simplify]: iters left: 6 (16 enodes) 246.818 * * [simplify]: iters left: 5 (67 enodes) 246.836 * * [simplify]: iters left: 4 (108 enodes) 246.873 * * [simplify]: iters left: 3 (193 enodes) 246.951 * * [simplify]: iters left: 2 (408 enodes) 247.124 * * [simplify]: Extracting #0: cost 1 inf + 0 247.124 * * [simplify]: Extracting #1: cost 59 inf + 0 247.124 * * [simplify]: Extracting #2: cost 175 inf + 0 247.125 * * [simplify]: Extracting #3: cost 263 inf + 3 247.127 * * [simplify]: Extracting #4: cost 276 inf + 2748 247.133 * * [simplify]: Extracting #5: cost 162 inf + 47826 247.150 * * [simplify]: Extracting #6: cost 40 inf + 128955 247.188 * * [simplify]: Extracting #7: cost 0 inf + 161783 247.208 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 4)) (/ (cbrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 247.208 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (pow n (/ (- 1 k) 4)) (/ (cbrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 247.208 * * * * [progress]: [ 374 / 463 ] simplifiying candidate # 247.209 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 247.209 * * [simplify]: iters left: 6 (13 enodes) 247.217 * * [simplify]: iters left: 5 (55 enodes) 247.231 * * [simplify]: iters left: 4 (100 enodes) 247.249 * * [simplify]: iters left: 3 (188 enodes) 247.306 * * [simplify]: iters left: 2 (421 enodes) 247.474 * * [simplify]: Extracting #0: cost 1 inf + 0 247.474 * * [simplify]: Extracting #1: cost 83 inf + 0 247.475 * * [simplify]: Extracting #2: cost 225 inf + 1 247.476 * * [simplify]: Extracting #3: cost 297 inf + 4 247.477 * * [simplify]: Extracting #4: cost 289 inf + 2221 247.485 * * [simplify]: Extracting #5: cost 209 inf + 26373 247.512 * * [simplify]: Extracting #6: cost 40 inf + 126422 247.551 * * [simplify]: Extracting #7: cost 0 inf + 156216 247.582 * * [simplify]: Extracting #8: cost 0 inf + 156176 247.601 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 4)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 247.602 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 4)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 247.602 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 247.602 * * [simplify]: iters left: 6 (15 enodes) 247.607 * * [simplify]: iters left: 5 (64 enodes) 247.618 * * [simplify]: iters left: 4 (108 enodes) 247.654 * * [simplify]: iters left: 3 (214 enodes) 247.744 * * [simplify]: Extracting #0: cost 1 inf + 0 247.744 * * [simplify]: Extracting #1: cost 38 inf + 0 247.745 * * [simplify]: Extracting #2: cost 131 inf + 0 247.745 * * [simplify]: Extracting #3: cost 180 inf + 2 247.746 * * [simplify]: Extracting #4: cost 163 inf + 1707 247.748 * * [simplify]: Extracting #5: cost 105 inf + 17015 247.755 * * [simplify]: Extracting #6: cost 34 inf + 58752 247.765 * * [simplify]: Extracting #7: cost 0 inf + 84894 247.777 * * [simplify]: Extracting #8: cost 0 inf + 84067 247.800 * * [simplify]: Extracting #9: cost 0 inf + 83803 247.810 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 4)) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 247.810 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (pow n (/ (- 1 k) 4)) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 247.811 * * * * [progress]: [ 375 / 463 ] simplifiying candidate # 247.811 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 247.811 * * [simplify]: iters left: 6 (16 enodes) 247.816 * * [simplify]: iters left: 5 (69 enodes) 247.828 * * [simplify]: iters left: 4 (127 enodes) 247.862 * * [simplify]: iters left: 3 (304 enodes) 248.049 * * [simplify]: Extracting #0: cost 1 inf + 0 248.049 * * [simplify]: Extracting #1: cost 74 inf + 0 248.051 * * [simplify]: Extracting #2: cost 237 inf + 0 248.053 * * [simplify]: Extracting #3: cost 288 inf + 2 248.056 * * [simplify]: Extracting #4: cost 266 inf + 5317 248.065 * * [simplify]: Extracting #5: cost 191 inf + 34256 248.093 * * [simplify]: Extracting #6: cost 62 inf + 128200 248.117 * * [simplify]: Extracting #7: cost 2 inf + 176079 248.144 * * [simplify]: Extracting #8: cost 0 inf + 177458 248.191 * * [simplify]: Extracting #9: cost 0 inf + 177457 248.227 * [simplify]: Simplified to (/ (pow (* PI 2) (/ (- 1 k) 4)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 4)))) 248.227 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* PI 2) (/ (- 1 k) 4)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 4)))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 248.227 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 248.227 * * [simplify]: iters left: 6 (15 enodes) 248.232 * * [simplify]: iters left: 5 (64 enodes) 248.244 * * [simplify]: iters left: 4 (110 enodes) 248.272 * * [simplify]: iters left: 3 (215 enodes) 248.344 * * [simplify]: Extracting #0: cost 1 inf + 0 248.344 * * [simplify]: Extracting #1: cost 38 inf + 0 248.345 * * [simplify]: Extracting #2: cost 128 inf + 0 248.346 * * [simplify]: Extracting #3: cost 170 inf + 2 248.347 * * [simplify]: Extracting #4: cost 161 inf + 1960 248.351 * * [simplify]: Extracting #5: cost 112 inf + 14231 248.368 * * [simplify]: Extracting #6: cost 22 inf + 68936 248.388 * * [simplify]: Extracting #7: cost 0 inf + 86615 248.408 * * [simplify]: Extracting #8: cost 0 inf + 86614 248.423 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 4)) (/ (cbrt (sqrt k)) (pow n (/ (- 1 k) 4)))) 248.423 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* 2 PI) (/ (- 1 k) 4)) (/ (cbrt (sqrt k)) (pow n (/ (- 1 k) 4)))))) 248.423 * * * * [progress]: [ 376 / 463 ] simplifiying candidate # 248.423 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow 2 (/ (- 1 k) 2)))) 248.423 * * [simplify]: iters left: 6 (14 enodes) 248.428 * * [simplify]: iters left: 5 (61 enodes) 248.438 * * [simplify]: iters left: 4 (108 enodes) 248.459 * * [simplify]: iters left: 3 (220 enodes) 248.555 * * [simplify]: Extracting #0: cost 1 inf + 0 248.556 * * [simplify]: Extracting #1: cost 38 inf + 0 248.556 * * [simplify]: Extracting #2: cost 132 inf + 0 248.557 * * [simplify]: Extracting #3: cost 180 inf + 3 248.559 * * [simplify]: Extracting #4: cost 166 inf + 2294 248.565 * * [simplify]: Extracting #5: cost 91 inf + 28903 248.581 * * [simplify]: Extracting #6: cost 9 inf + 77183 248.600 * * [simplify]: Extracting #7: cost 0 inf + 82898 248.621 * * [simplify]: Extracting #8: cost 0 inf + 82859 248.630 * [simplify]: Simplified to (* (pow 2 (/ (- 1 k) 4)) (* (/ (pow n (/ (- 1 k) 4)) (fabs (cbrt k))) (pow 2 (/ (- 1 k) 4)))) 248.630 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow 2 (/ (- 1 k) 4)) (* (/ (pow n (/ (- 1 k) 4)) (fabs (cbrt k))) (pow 2 (/ (- 1 k) 4)))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))))) 248.631 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))) 248.631 * * [simplify]: iters left: 6 (14 enodes) 248.635 * * [simplify]: iters left: 5 (60 enodes) 248.646 * * [simplify]: iters left: 4 (107 enodes) 248.685 * * [simplify]: iters left: 3 (216 enodes) 248.776 * * [simplify]: Extracting #0: cost 1 inf + 0 248.776 * * [simplify]: Extracting #1: cost 38 inf + 0 248.776 * * [simplify]: Extracting #2: cost 131 inf + 0 248.777 * * [simplify]: Extracting #3: cost 178 inf + 3 248.778 * * [simplify]: Extracting #4: cost 169 inf + 1468 248.780 * * [simplify]: Extracting #5: cost 104 inf + 17228 248.786 * * [simplify]: Extracting #6: cost 29 inf + 62839 248.799 * * [simplify]: Extracting #7: cost 0 inf + 84264 248.814 * * [simplify]: Extracting #8: cost 0 inf + 83241 248.824 * * [simplify]: Extracting #9: cost 0 inf + 83068 248.833 * [simplify]: Simplified to (/ (* (pow PI (- 1/4 (/ k 4))) (pow n (- 1/4 (/ k 4)))) (/ (sqrt (cbrt k)) (pow PI (- 1/4 (/ k 4))))) 248.834 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow 2 (/ (- 1 k) 2)))) (/ (* (pow PI (- 1/4 (/ k 4))) (pow n (- 1/4 (/ k 4)))) (/ (sqrt (cbrt k)) (pow PI (- 1/4 (/ k 4))))))) 248.834 * * * * [progress]: [ 377 / 463 ] simplifiying candidate # 248.834 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 248.834 * * [simplify]: iters left: 6 (18 enodes) 248.841 * * [simplify]: iters left: 5 (76 enodes) 248.870 * * [simplify]: iters left: 4 (122 enodes) 248.911 * * [simplify]: iters left: 3 (221 enodes) 248.986 * * [simplify]: Extracting #0: cost 1 inf + 0 248.986 * * [simplify]: Extracting #1: cost 31 inf + 0 248.986 * * [simplify]: Extracting #2: cost 95 inf + 0 248.987 * * [simplify]: Extracting #3: cost 145 inf + 1 248.987 * * [simplify]: Extracting #4: cost 148 inf + 1882 248.990 * * [simplify]: Extracting #5: cost 74 inf + 23304 248.998 * * [simplify]: Extracting #6: cost 6 inf + 69404 249.007 * * [simplify]: Extracting #7: cost 0 inf + 73987 249.016 * [simplify]: Simplified to (* (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))) (/ (pow n (/ (- 1 k) 4)) (fabs (cbrt k)))) 249.016 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))) (/ (pow n (/ (- 1 k) 4)) (fabs (cbrt k)))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (cbrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 249.016 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (cbrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 249.016 * * [simplify]: iters left: 6 (16 enodes) 249.021 * * [simplify]: iters left: 5 (67 enodes) 249.034 * * [simplify]: iters left: 4 (107 enodes) 249.056 * * [simplify]: iters left: 3 (192 enodes) 249.133 * * [simplify]: iters left: 2 (407 enodes) 249.231 * * [simplify]: Extracting #0: cost 1 inf + 0 249.231 * * [simplify]: Extracting #1: cost 60 inf + 0 249.232 * * [simplify]: Extracting #2: cost 177 inf + 0 249.232 * * [simplify]: Extracting #3: cost 263 inf + 3 249.235 * * [simplify]: Extracting #4: cost 275 inf + 2535 249.243 * * [simplify]: Extracting #5: cost 191 inf + 35038 249.261 * * [simplify]: Extracting #6: cost 96 inf + 88242 249.303 * * [simplify]: Extracting #7: cost 17 inf + 160515 249.344 * * [simplify]: Extracting #8: cost 1 inf + 171935 249.385 * * [simplify]: Extracting #9: cost 0 inf + 171882 249.425 * [simplify]: Simplified to (* (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 8))) (/ (pow n (/ (- 1 k) 8)) (sqrt (cbrt k)))) 249.426 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (* (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 8))) (/ (pow n (/ (- 1 k) 8)) (sqrt (cbrt k)))))) 249.426 * * * * [progress]: [ 378 / 463 ] simplifiying candidate # 249.427 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 249.427 * * [simplify]: iters left: 6 (17 enodes) 249.436 * * [simplify]: iters left: 5 (71 enodes) 249.461 * * [simplify]: iters left: 4 (112 enodes) 249.498 * * [simplify]: iters left: 3 (197 enodes) 249.547 * * [simplify]: iters left: 2 (406 enodes) 249.703 * * [simplify]: Extracting #0: cost 1 inf + 0 249.704 * * [simplify]: Extracting #1: cost 60 inf + 0 249.705 * * [simplify]: Extracting #2: cost 175 inf + 0 249.706 * * [simplify]: Extracting #3: cost 259 inf + 3 249.709 * * [simplify]: Extracting #4: cost 264 inf + 2733 249.719 * * [simplify]: Extracting #5: cost 164 inf + 43881 249.742 * * [simplify]: Extracting #6: cost 26 inf + 141331 249.762 * * [simplify]: Extracting #7: cost 0 inf + 164560 249.785 * * [simplify]: Extracting #8: cost 0 inf + 163118 249.821 * * [simplify]: Extracting #9: cost 0 inf + 162907 249.849 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 4)) (/ (fabs (cbrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))) 249.849 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 4)) (/ (fabs (cbrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (cbrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 249.850 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (cbrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 249.850 * * [simplify]: iters left: 6 (16 enodes) 249.854 * * [simplify]: iters left: 5 (67 enodes) 249.866 * * [simplify]: iters left: 4 (108 enodes) 249.891 * * [simplify]: iters left: 3 (193 enodes) 249.935 * * [simplify]: iters left: 2 (408 enodes) 250.067 * * [simplify]: Extracting #0: cost 1 inf + 0 250.067 * * [simplify]: Extracting #1: cost 59 inf + 0 250.068 * * [simplify]: Extracting #2: cost 175 inf + 0 250.070 * * [simplify]: Extracting #3: cost 263 inf + 3 250.073 * * [simplify]: Extracting #4: cost 276 inf + 2788 250.085 * * [simplify]: Extracting #5: cost 162 inf + 47906 250.110 * * [simplify]: Extracting #6: cost 40 inf + 129035 250.130 * * [simplify]: Extracting #7: cost 0 inf + 161863 250.160 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 4)) (/ (sqrt (cbrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 250.160 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (pow n (/ (- 1 k) 4)) (/ (sqrt (cbrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 250.160 * * * * [progress]: [ 379 / 463 ] simplifiying candidate # 250.161 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) 1)) 250.161 * * [simplify]: iters left: 6 (13 enodes) 250.165 * * [simplify]: iters left: 5 (53 enodes) 250.175 * * [simplify]: iters left: 4 (85 enodes) 250.193 * * [simplify]: iters left: 3 (138 enodes) 250.251 * * [simplify]: iters left: 2 (276 enodes) 250.361 * * [simplify]: Extracting #0: cost 1 inf + 0 250.362 * * [simplify]: Extracting #1: cost 18 inf + 0 250.362 * * [simplify]: Extracting #2: cost 56 inf + 1 250.362 * * [simplify]: Extracting #3: cost 117 inf + 4 250.363 * * [simplify]: Extracting #4: cost 120 inf + 797 250.364 * * [simplify]: Extracting #5: cost 68 inf + 10651 250.368 * * [simplify]: Extracting #6: cost 17 inf + 27447 250.373 * * [simplify]: Extracting #7: cost 0 inf + 38134 250.377 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 4)) (fabs (cbrt k))) 250.378 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 4)) (fabs (cbrt k))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 250.378 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 250.378 * * [simplify]: iters left: 6 (15 enodes) 250.383 * * [simplify]: iters left: 5 (64 enodes) 250.404 * * [simplify]: iters left: 4 (108 enodes) 250.444 * * [simplify]: iters left: 3 (214 enodes) 250.541 * * [simplify]: Extracting #0: cost 1 inf + 0 250.541 * * [simplify]: Extracting #1: cost 38 inf + 0 250.542 * * [simplify]: Extracting #2: cost 131 inf + 0 250.543 * * [simplify]: Extracting #3: cost 180 inf + 2 250.544 * * [simplify]: Extracting #4: cost 163 inf + 1787 250.549 * * [simplify]: Extracting #5: cost 105 inf + 17095 250.562 * * [simplify]: Extracting #6: cost 34 inf + 58832 250.582 * * [simplify]: Extracting #7: cost 0 inf + 84974 250.603 * * [simplify]: Extracting #8: cost 0 inf + 84147 250.627 * * [simplify]: Extracting #9: cost 0 inf + 83883 250.638 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 4)) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 250.638 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) 1)) (/ (pow n (/ (- 1 k) 4)) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 250.639 * * * * [progress]: [ 380 / 463 ] simplifiying candidate # 250.639 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 250.639 * * [simplify]: iters left: 6 (16 enodes) 250.644 * * [simplify]: iters left: 5 (68 enodes) 250.655 * * [simplify]: iters left: 4 (111 enodes) 250.689 * * [simplify]: iters left: 3 (212 enodes) 250.759 * * [simplify]: Extracting #0: cost 1 inf + 0 250.759 * * [simplify]: Extracting #1: cost 38 inf + 0 250.760 * * [simplify]: Extracting #2: cost 130 inf + 0 250.761 * * [simplify]: Extracting #3: cost 173 inf + 2 250.763 * * [simplify]: Extracting #4: cost 162 inf + 1337 250.766 * * [simplify]: Extracting #5: cost 118 inf + 12821 250.776 * * [simplify]: Extracting #6: cost 33 inf + 60697 250.786 * * [simplify]: Extracting #7: cost 0 inf + 87692 250.797 * * [simplify]: Extracting #8: cost 0 inf + 87651 250.807 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 4)) (/ (fabs (cbrt k)) (pow (* PI 2) (/ (- 1 k) 4)))) 250.808 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 4)) (/ (fabs (cbrt k)) (pow (* PI 2) (/ (- 1 k) 4)))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 250.808 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 250.808 * * [simplify]: iters left: 6 (15 enodes) 250.816 * * [simplify]: iters left: 5 (64 enodes) 250.840 * * [simplify]: iters left: 4 (110 enodes) 250.860 * * [simplify]: iters left: 3 (215 enodes) 250.952 * * [simplify]: Extracting #0: cost 1 inf + 0 250.952 * * [simplify]: Extracting #1: cost 38 inf + 0 250.952 * * [simplify]: Extracting #2: cost 128 inf + 0 250.953 * * [simplify]: Extracting #3: cost 170 inf + 2 250.953 * * [simplify]: Extracting #4: cost 161 inf + 2000 250.956 * * [simplify]: Extracting #5: cost 112 inf + 14311 250.963 * * [simplify]: Extracting #6: cost 22 inf + 69016 250.973 * * [simplify]: Extracting #7: cost 0 inf + 86695 250.983 * * [simplify]: Extracting #8: cost 0 inf + 86694 251.001 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 4)) (/ (sqrt (cbrt k)) (pow n (/ (- 1 k) 4)))) 251.001 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* 2 PI) (/ (- 1 k) 4)) (/ (sqrt (cbrt k)) (pow n (/ (- 1 k) 4)))))) 251.001 * * * * [progress]: [ 381 / 463 ] simplifiying candidate # 251.002 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 251.002 * * [simplify]: iters left: 6 (13 enodes) 251.009 * * [simplify]: iters left: 5 (57 enodes) 251.022 * * [simplify]: iters left: 4 (104 enodes) 251.051 * * [simplify]: iters left: 3 (213 enodes) 251.137 * * [simplify]: Extracting #0: cost 1 inf + 0 251.137 * * [simplify]: Extracting #1: cost 38 inf + 0 251.138 * * [simplify]: Extracting #2: cost 131 inf + 0 251.138 * * [simplify]: Extracting #3: cost 176 inf + 3 251.139 * * [simplify]: Extracting #4: cost 163 inf + 1423 251.141 * * [simplify]: Extracting #5: cost 104 inf + 16721 251.148 * * [simplify]: Extracting #6: cost 26 inf + 63498 251.165 * * [simplify]: Extracting #7: cost 0 inf + 81426 251.184 * * [simplify]: Extracting #8: cost 0 inf + 80617 251.203 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 4)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 251.203 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 4)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 251.203 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 251.203 * * [simplify]: iters left: 6 (14 enodes) 251.209 * * [simplify]: iters left: 5 (60 enodes) 251.220 * * [simplify]: iters left: 4 (107 enodes) 251.244 * * [simplify]: iters left: 3 (216 enodes) 251.311 * * [simplify]: Extracting #0: cost 1 inf + 0 251.312 * * [simplify]: Extracting #1: cost 38 inf + 0 251.312 * * [simplify]: Extracting #2: cost 131 inf + 0 251.312 * * [simplify]: Extracting #3: cost 178 inf + 3 251.313 * * [simplify]: Extracting #4: cost 169 inf + 1428 251.315 * * [simplify]: Extracting #5: cost 104 inf + 16668 251.322 * * [simplify]: Extracting #6: cost 29 inf + 60839 251.332 * * [simplify]: Extracting #7: cost 0 inf + 81664 251.346 * * [simplify]: Extracting #8: cost 0 inf + 80641 251.358 * * [simplify]: Extracting #9: cost 0 inf + 80468 251.370 * [simplify]: Simplified to (/ (* (pow PI (- 1/4 (/ k 4))) (pow n (- 1/4 (/ k 4)))) (/ (sqrt (sqrt k)) (pow PI (- 1/4 (/ k 4))))) 251.370 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (* (pow PI (- 1/4 (/ k 4))) (pow n (- 1/4 (/ k 4)))) (/ (sqrt (sqrt k)) (pow PI (- 1/4 (/ k 4))))))) 251.370 * * * * [progress]: [ 382 / 463 ] simplifiying candidate # 251.370 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 251.371 * * [simplify]: iters left: 6 (17 enodes) 251.376 * * [simplify]: iters left: 5 (72 enodes) 251.395 * * [simplify]: iters left: 4 (118 enodes) 251.436 * * [simplify]: iters left: 3 (217 enodes) 251.506 * * [simplify]: iters left: 2 (492 enodes) 252.086 * * [simplify]: Extracting #0: cost 1 inf + 0 252.087 * * [simplify]: Extracting #1: cost 86 inf + 0 252.088 * * [simplify]: Extracting #2: cost 284 inf + 0 252.091 * * [simplify]: Extracting #3: cost 391 inf + 3 252.094 * * [simplify]: Extracting #4: cost 412 inf + 1087 252.102 * * [simplify]: Extracting #5: cost 339 inf + 25178 252.118 * * [simplify]: Extracting #6: cost 141 inf + 158783 252.168 * * [simplify]: Extracting #7: cost 3 inf + 275908 252.213 * * [simplify]: Extracting #8: cost 0 inf + 275649 252.246 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 4)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 252.246 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 4)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 252.246 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 252.246 * * [simplify]: iters left: 6 (16 enodes) 252.251 * * [simplify]: iters left: 5 (67 enodes) 252.271 * * [simplify]: iters left: 4 (107 enodes) 252.310 * * [simplify]: iters left: 3 (192 enodes) 252.384 * * [simplify]: iters left: 2 (407 enodes) 252.546 * * [simplify]: Extracting #0: cost 1 inf + 0 252.546 * * [simplify]: Extracting #1: cost 60 inf + 0 252.547 * * [simplify]: Extracting #2: cost 177 inf + 0 252.549 * * [simplify]: Extracting #3: cost 263 inf + 3 252.551 * * [simplify]: Extracting #4: cost 275 inf + 2415 252.564 * * [simplify]: Extracting #5: cost 191 inf + 34278 252.583 * * [simplify]: Extracting #6: cost 96 inf + 85882 252.619 * * [simplify]: Extracting #7: cost 17 inf + 156715 252.648 * * [simplify]: Extracting #8: cost 1 inf + 167975 252.671 * * [simplify]: Extracting #9: cost 0 inf + 167922 252.713 * [simplify]: Simplified to (* (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 8))) (/ (pow n (/ (- 1 k) 8)) (sqrt (sqrt k)))) 252.714 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (* (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 8))) (/ (pow n (/ (- 1 k) 8)) (sqrt (sqrt k)))))) 252.714 * * * * [progress]: [ 383 / 463 ] simplifiying candidate # 252.714 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 252.714 * * [simplify]: iters left: 6 (16 enodes) 252.721 * * [simplify]: iters left: 5 (67 enodes) 252.732 * * [simplify]: iters left: 4 (108 enodes) 252.751 * * [simplify]: iters left: 3 (193 enodes) 252.798 * * [simplify]: iters left: 2 (408 enodes) 252.948 * * [simplify]: Extracting #0: cost 1 inf + 0 252.948 * * [simplify]: Extracting #1: cost 59 inf + 0 252.949 * * [simplify]: Extracting #2: cost 175 inf + 0 252.951 * * [simplify]: Extracting #3: cost 263 inf + 3 252.954 * * [simplify]: Extracting #4: cost 276 inf + 2668 252.966 * * [simplify]: Extracting #5: cost 162 inf + 46706 252.997 * * [simplify]: Extracting #6: cost 40 inf + 125595 253.036 * * [simplify]: Extracting #7: cost 0 inf + 157903 253.083 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 4)) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 253.083 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 4)) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 253.083 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 253.083 * * [simplify]: iters left: 6 (16 enodes) 253.092 * * [simplify]: iters left: 5 (67 enodes) 253.115 * * [simplify]: iters left: 4 (108 enodes) 253.138 * * [simplify]: iters left: 3 (193 enodes) 253.212 * * [simplify]: iters left: 2 (408 enodes) 253.363 * * [simplify]: Extracting #0: cost 1 inf + 0 253.363 * * [simplify]: Extracting #1: cost 59 inf + 0 253.364 * * [simplify]: Extracting #2: cost 175 inf + 0 253.365 * * [simplify]: Extracting #3: cost 263 inf + 3 253.368 * * [simplify]: Extracting #4: cost 276 inf + 2668 253.375 * * [simplify]: Extracting #5: cost 162 inf + 46706 253.391 * * [simplify]: Extracting #6: cost 40 inf + 125595 253.424 * * [simplify]: Extracting #7: cost 0 inf + 157903 253.453 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 4)) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 253.453 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (pow n (/ (- 1 k) 4)) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 253.453 * * * * [progress]: [ 384 / 463 ] simplifiying candidate # 253.453 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) 1)) 253.453 * * [simplify]: iters left: 6 (12 enodes) 253.458 * * [simplify]: iters left: 5 (50 enodes) 253.467 * * [simplify]: iters left: 4 (82 enodes) 253.493 * * [simplify]: iters left: 3 (137 enodes) 253.546 * * [simplify]: iters left: 2 (266 enodes) 253.654 * * [simplify]: Extracting #0: cost 1 inf + 0 253.654 * * [simplify]: Extracting #1: cost 28 inf + 0 253.654 * * [simplify]: Extracting #2: cost 83 inf + 1 253.655 * * [simplify]: Extracting #3: cost 139 inf + 4 253.656 * * [simplify]: Extracting #4: cost 143 inf + 469 253.659 * * [simplify]: Extracting #5: cost 81 inf + 12867 253.673 * * [simplify]: Extracting #6: cost 14 inf + 45687 253.687 * * [simplify]: Extracting #7: cost 0 inf + 54890 253.701 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 4)) (sqrt (sqrt k))) 253.701 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 4)) (sqrt (sqrt k))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 253.702 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 253.702 * * [simplify]: iters left: 6 (15 enodes) 253.710 * * [simplify]: iters left: 5 (64 enodes) 253.732 * * [simplify]: iters left: 4 (108 enodes) 253.770 * * [simplify]: iters left: 3 (214 enodes) 253.856 * * [simplify]: Extracting #0: cost 1 inf + 0 253.856 * * [simplify]: Extracting #1: cost 38 inf + 0 253.857 * * [simplify]: Extracting #2: cost 131 inf + 0 253.857 * * [simplify]: Extracting #3: cost 180 inf + 2 253.858 * * [simplify]: Extracting #4: cost 163 inf + 1667 253.860 * * [simplify]: Extracting #5: cost 105 inf + 16535 253.867 * * [simplify]: Extracting #6: cost 34 inf + 56992 253.884 * * [simplify]: Extracting #7: cost 0 inf + 82374 253.903 * * [simplify]: Extracting #8: cost 0 inf + 81547 253.913 * * [simplify]: Extracting #9: cost 0 inf + 81283 253.923 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 4)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 253.923 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) 1)) (/ (pow n (/ (- 1 k) 4)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 253.923 * * * * [progress]: [ 385 / 463 ] simplifiying candidate # 253.924 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 253.924 * * [simplify]: iters left: 6 (15 enodes) 253.932 * * [simplify]: iters left: 5 (64 enodes) 253.954 * * [simplify]: iters left: 4 (110 enodes) 253.975 * * [simplify]: iters left: 3 (215 enodes) 254.040 * * [simplify]: Extracting #0: cost 1 inf + 0 254.040 * * [simplify]: Extracting #1: cost 38 inf + 0 254.040 * * [simplify]: Extracting #2: cost 128 inf + 0 254.041 * * [simplify]: Extracting #3: cost 170 inf + 2 254.042 * * [simplify]: Extracting #4: cost 161 inf + 1840 254.044 * * [simplify]: Extracting #5: cost 112 inf + 13671 254.050 * * [simplify]: Extracting #6: cost 22 inf + 66896 254.061 * * [simplify]: Extracting #7: cost 0 inf + 84095 254.077 * * [simplify]: Extracting #8: cost 0 inf + 84094 254.091 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 4)) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 4)))) 254.091 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* 2 PI) (/ (- 1 k) 4)) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 4)))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 254.091 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 254.091 * * [simplify]: iters left: 6 (15 enodes) 254.096 * * [simplify]: iters left: 5 (64 enodes) 254.107 * * [simplify]: iters left: 4 (110 enodes) 254.143 * * [simplify]: iters left: 3 (215 enodes) 254.209 * * [simplify]: Extracting #0: cost 1 inf + 0 254.209 * * [simplify]: Extracting #1: cost 38 inf + 0 254.209 * * [simplify]: Extracting #2: cost 128 inf + 0 254.210 * * [simplify]: Extracting #3: cost 170 inf + 2 254.212 * * [simplify]: Extracting #4: cost 161 inf + 1840 254.216 * * [simplify]: Extracting #5: cost 112 inf + 13671 254.234 * * [simplify]: Extracting #6: cost 22 inf + 66896 254.253 * * [simplify]: Extracting #7: cost 0 inf + 84095 254.265 * * [simplify]: Extracting #8: cost 0 inf + 84094 254.275 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 4)) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 4)))) 254.275 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* 2 PI) (/ (- 1 k) 4)) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 4)))))) 254.275 * * * * [progress]: [ 386 / 463 ] simplifiying candidate # 254.275 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (pow 2 (/ (- 1 k) 2)))) 254.275 * * [simplify]: iters left: 6 (12 enodes) 254.280 * * [simplify]: iters left: 5 (54 enodes) 254.292 * * [simplify]: iters left: 4 (93 enodes) 254.326 * * [simplify]: iters left: 3 (186 enodes) 254.388 * * [simplify]: Extracting #0: cost 1 inf + 0 254.388 * * [simplify]: Extracting #1: cost 42 inf + 0 254.389 * * [simplify]: Extracting #2: cost 120 inf + 1 254.390 * * [simplify]: Extracting #3: cost 154 inf + 4 254.391 * * [simplify]: Extracting #4: cost 158 inf + 11 254.392 * * [simplify]: Extracting #5: cost 148 inf + 1180 254.396 * * [simplify]: Extracting #6: cost 98 inf + 11757 254.405 * * [simplify]: Extracting #7: cost 30 inf + 46707 254.416 * * [simplify]: Extracting #8: cost 0 inf + 67471 254.424 * * [simplify]: Extracting #9: cost 0 inf + 67097 254.432 * [simplify]: Simplified to (* (* (pow 2 (- 1/4 (/ k 4))) (pow n (- 1/4 (/ k 4)))) (pow 2 (- 1/4 (/ k 4)))) 254.432 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (* (pow 2 (- 1/4 (/ k 4))) (pow n (- 1/4 (/ k 4)))) (pow 2 (- 1/4 (/ k 4)))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 254.432 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 254.432 * * [simplify]: iters left: 6 (13 enodes) 254.436 * * [simplify]: iters left: 5 (57 enodes) 254.455 * * [simplify]: iters left: 4 (104 enodes) 254.477 * * [simplify]: iters left: 3 (213 enodes) 254.530 * * [simplify]: Extracting #0: cost 1 inf + 0 254.530 * * [simplify]: Extracting #1: cost 38 inf + 0 254.531 * * [simplify]: Extracting #2: cost 131 inf + 0 254.531 * * [simplify]: Extracting #3: cost 173 inf + 45 254.536 * * [simplify]: Extracting #4: cost 158 inf + 1631 254.540 * * [simplify]: Extracting #5: cost 108 inf + 14792 254.553 * * [simplify]: Extracting #6: cost 24 inf + 61856 254.570 * * [simplify]: Extracting #7: cost 0 inf + 77902 254.588 * * [simplify]: Extracting #8: cost 0 inf + 77558 254.605 * [simplify]: Simplified to (* (pow PI (/ (- 1 k) 4)) (* (/ (pow n (/ (- 1 k) 4)) (sqrt k)) (pow PI (/ (- 1 k) 4)))) 254.605 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (pow 2 (/ (- 1 k) 2)))) (* (pow PI (/ (- 1 k) 4)) (* (/ (pow n (/ (- 1 k) 4)) (sqrt k)) (pow PI (/ (- 1 k) 4)))))) 254.605 * * * * [progress]: [ 387 / 463 ] simplifiying candidate # 254.605 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 254.606 * * [simplify]: iters left: 6 (16 enodes) 254.615 * * [simplify]: iters left: 5 (69 enodes) 254.638 * * [simplify]: iters left: 4 (116 enodes) 254.677 * * [simplify]: iters left: 3 (217 enodes) 254.744 * * [simplify]: iters left: 2 (495 enodes) 254.947 * * [simplify]: Extracting #0: cost 1 inf + 0 254.947 * * [simplify]: Extracting #1: cost 87 inf + 0 254.948 * * [simplify]: Extracting #2: cost 260 inf + 1 254.949 * * [simplify]: Extracting #3: cost 347 inf + 4 254.951 * * [simplify]: Extracting #4: cost 386 inf + 13 254.955 * * [simplify]: Extracting #5: cost 311 inf + 25996 254.980 * * [simplify]: Extracting #6: cost 102 inf + 154814 255.050 * * [simplify]: Extracting #7: cost 0 inf + 235541 255.093 * * [simplify]: Extracting #8: cost 0 inf + 233842 255.127 * [simplify]: Simplified to (* (* (* (pow n (/ (- 1 k) 16)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 16))) (* (* (pow n (/ (- 1 k) 16)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 16)))) 255.127 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (* (* (pow n (/ (- 1 k) 16)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 16))) (* (* (pow n (/ (- 1 k) 16)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 16)))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 255.127 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 255.127 * * [simplify]: iters left: 6 (15 enodes) 255.133 * * [simplify]: iters left: 5 (64 enodes) 255.146 * * [simplify]: iters left: 4 (107 enodes) 255.183 * * [simplify]: iters left: 3 (195 enodes) 255.238 * * [simplify]: iters left: 2 (404 enodes) 255.347 * * [simplify]: Extracting #0: cost 1 inf + 0 255.347 * * [simplify]: Extracting #1: cost 60 inf + 0 255.348 * * [simplify]: Extracting #2: cost 172 inf + 0 255.349 * * [simplify]: Extracting #3: cost 253 inf + 45 255.352 * * [simplify]: Extracting #4: cost 252 inf + 5827 255.359 * * [simplify]: Extracting #5: cost 201 inf + 19303 255.374 * * [simplify]: Extracting #6: cost 121 inf + 60553 255.390 * * [simplify]: Extracting #7: cost 16 inf + 143300 255.408 * * [simplify]: Extracting #8: cost 0 inf + 157827 255.430 * [simplify]: Simplified to (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ (- 1 k) 4)) (sqrt k))) 255.430 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ (- 1 k) 4)) (sqrt k))))) 255.430 * * * * [progress]: [ 388 / 463 ] simplifiying candidate # 255.431 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 255.431 * * [simplify]: iters left: 6 (15 enodes) 255.435 * * [simplify]: iters left: 5 (64 enodes) 255.454 * * [simplify]: iters left: 4 (103 enodes) 255.471 * * [simplify]: iters left: 3 (181 enodes) 255.530 * * [simplify]: iters left: 2 (385 enodes) 255.666 * * [simplify]: Extracting #0: cost 1 inf + 0 255.667 * * [simplify]: Extracting #1: cost 50 inf + 0 255.667 * * [simplify]: Extracting #2: cost 139 inf + 1 255.669 * * [simplify]: Extracting #3: cost 215 inf + 4 255.670 * * [simplify]: Extracting #4: cost 251 inf + 13 255.674 * * [simplify]: Extracting #5: cost 211 inf + 12267 255.690 * * [simplify]: Extracting #6: cost 75 inf + 69765 255.719 * * [simplify]: Extracting #7: cost 2 inf + 120182 255.739 * * [simplify]: Extracting #8: cost 0 inf + 122006 255.762 * [simplify]: Simplified to (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 4))) 255.762 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 4))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 255.763 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 255.763 * * [simplify]: iters left: 6 (15 enodes) 255.767 * * [simplify]: iters left: 5 (64 enodes) 255.779 * * [simplify]: iters left: 4 (108 enodes) 255.799 * * [simplify]: iters left: 3 (196 enodes) 255.877 * * [simplify]: iters left: 2 (410 enodes) 255.984 * * [simplify]: Extracting #0: cost 1 inf + 0 255.984 * * [simplify]: Extracting #1: cost 60 inf + 0 255.984 * * [simplify]: Extracting #2: cost 172 inf + 0 255.985 * * [simplify]: Extracting #3: cost 253 inf + 45 255.987 * * [simplify]: Extracting #4: cost 263 inf + 2538 255.990 * * [simplify]: Extracting #5: cost 196 inf + 23217 256.002 * * [simplify]: Extracting #6: cost 47 inf + 118841 256.038 * * [simplify]: Extracting #7: cost 0 inf + 157718 256.057 * * [simplify]: Extracting #8: cost 0 inf + 156689 256.087 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 4)) (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 256.087 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (pow n (/ (- 1 k) 4)) (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 256.088 * * * * [progress]: [ 389 / 463 ] simplifiying candidate # 256.088 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) 1)) 256.088 * * [simplify]: iters left: 6 (11 enodes) 256.096 * * [simplify]: iters left: 5 (47 enodes) 256.112 * * [simplify]: iters left: 4 (75 enodes) 256.137 * * [simplify]: iters left: 3 (124 enodes) 256.162 * * [simplify]: iters left: 2 (228 enodes) 256.250 * * [simplify]: iters left: 1 (477 enodes) 256.518 * * [simplify]: Extracting #0: cost 1 inf + 0 256.519 * * [simplify]: Extracting #1: cost 56 inf + 0 256.519 * * [simplify]: Extracting #2: cost 161 inf + 3 256.520 * * [simplify]: Extracting #3: cost 217 inf + 10 256.522 * * [simplify]: Extracting #4: cost 196 inf + 2574 256.530 * * [simplify]: Extracting #5: cost 96 inf + 27589 256.541 * * [simplify]: Extracting #6: cost 12 inf + 82954 256.562 * * [simplify]: Extracting #7: cost 0 inf + 92552 256.580 * [simplify]: Simplified to (pow n (- 1/4 (/ k 4))) 256.581 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (- 1/4 (/ k 4))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 256.581 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 256.581 * * [simplify]: iters left: 6 (14 enodes) 256.585 * * [simplify]: iters left: 5 (61 enodes) 256.597 * * [simplify]: iters left: 4 (108 enodes) 256.622 * * [simplify]: iters left: 3 (217 enodes) 256.686 * * [simplify]: Extracting #0: cost 1 inf + 0 256.686 * * [simplify]: Extracting #1: cost 38 inf + 0 256.687 * * [simplify]: Extracting #2: cost 131 inf + 0 256.687 * * [simplify]: Extracting #3: cost 177 inf + 44 256.688 * * [simplify]: Extracting #4: cost 165 inf + 1962 256.690 * * [simplify]: Extracting #5: cost 107 inf + 18412 256.698 * * [simplify]: Extracting #6: cost 13 inf + 73932 256.708 * * [simplify]: Extracting #7: cost 0 inf + 81746 256.730 * * [simplify]: Extracting #8: cost 0 inf + 80825 256.751 * * [simplify]: Extracting #9: cost 0 inf + 80693 256.762 * [simplify]: Simplified to (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 4)) (sqrt k))) 256.762 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) 1)) (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 4)) (sqrt k))))) 256.762 * * * * [progress]: [ 390 / 463 ] simplifiying candidate # 256.762 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 256.762 * * [simplify]: iters left: 6 (14 enodes) 256.767 * * [simplify]: iters left: 5 (61 enodes) 256.779 * * [simplify]: iters left: 4 (102 enodes) 256.807 * * [simplify]: iters left: 3 (194 enodes) 256.864 * * [simplify]: Extracting #0: cost 1 inf + 0 256.864 * * [simplify]: Extracting #1: cost 40 inf + 0 256.865 * * [simplify]: Extracting #2: cost 115 inf + 1 256.865 * * [simplify]: Extracting #3: cost 152 inf + 3 256.866 * * [simplify]: Extracting #4: cost 160 inf + 11 256.867 * * [simplify]: Extracting #5: cost 143 inf + 2888 256.870 * * [simplify]: Extracting #6: cost 72 inf + 26213 256.877 * * [simplify]: Extracting #7: cost 11 inf + 61737 256.885 * * [simplify]: Extracting #8: cost 0 inf + 68181 256.895 * * [simplify]: Extracting #9: cost 0 inf + 68180 256.912 * [simplify]: Simplified to (* (pow (* 2 PI) (/ (- 1 k) 4)) (pow n (/ (- 1 k) 4))) 256.912 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (* 2 PI) (/ (- 1 k) 4)) (pow n (/ (- 1 k) 4))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 256.913 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 256.913 * * [simplify]: iters left: 6 (14 enodes) 256.921 * * [simplify]: iters left: 5 (61 enodes) 256.936 * * [simplify]: iters left: 4 (107 enodes) 256.955 * * [simplify]: iters left: 3 (212 enodes) 257.054 * * [simplify]: Extracting #0: cost 1 inf + 0 257.055 * * [simplify]: Extracting #1: cost 38 inf + 0 257.055 * * [simplify]: Extracting #2: cost 129 inf + 0 257.056 * * [simplify]: Extracting #3: cost 169 inf + 44 257.058 * * [simplify]: Extracting #4: cost 167 inf + 1136 257.061 * * [simplify]: Extracting #5: cost 126 inf + 9376 257.073 * * [simplify]: Extracting #6: cost 30 inf + 59464 257.088 * * [simplify]: Extracting #7: cost 3 inf + 79747 257.098 * * [simplify]: Extracting #8: cost 0 inf + 82102 257.108 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 4)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 4)))) 257.108 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (/ (pow n (/ (- 1 k) 4)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 4)))))) 257.108 * * * * [progress]: [ 391 / 463 ] simplifiying candidate # 257.108 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 257.108 * * [simplify]: iters left: 6 (13 enodes) 257.112 * * [simplify]: iters left: 5 (57 enodes) 257.132 * * [simplify]: iters left: 4 (104 enodes) 257.166 * * [simplify]: iters left: 3 (213 enodes) 257.224 * * [simplify]: Extracting #0: cost 1 inf + 0 257.224 * * [simplify]: Extracting #1: cost 38 inf + 0 257.225 * * [simplify]: Extracting #2: cost 131 inf + 0 257.225 * * [simplify]: Extracting #3: cost 176 inf + 3 257.227 * * [simplify]: Extracting #4: cost 163 inf + 1423 257.231 * * [simplify]: Extracting #5: cost 104 inf + 16721 257.244 * * [simplify]: Extracting #6: cost 26 inf + 63498 257.263 * * [simplify]: Extracting #7: cost 0 inf + 81426 257.278 * * [simplify]: Extracting #8: cost 0 inf + 80617 257.287 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 4)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 257.287 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 4)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 257.288 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 257.288 * * [simplify]: iters left: 6 (14 enodes) 257.292 * * [simplify]: iters left: 5 (60 enodes) 257.304 * * [simplify]: iters left: 4 (107 enodes) 257.326 * * [simplify]: iters left: 3 (216 enodes) 257.394 * * [simplify]: Extracting #0: cost 1 inf + 0 257.394 * * [simplify]: Extracting #1: cost 38 inf + 0 257.394 * * [simplify]: Extracting #2: cost 131 inf + 0 257.395 * * [simplify]: Extracting #3: cost 178 inf + 3 257.396 * * [simplify]: Extracting #4: cost 169 inf + 1428 257.398 * * [simplify]: Extracting #5: cost 104 inf + 16668 257.405 * * [simplify]: Extracting #6: cost 29 inf + 60839 257.420 * * [simplify]: Extracting #7: cost 0 inf + 81664 257.439 * * [simplify]: Extracting #8: cost 0 inf + 80641 257.456 * * [simplify]: Extracting #9: cost 0 inf + 80468 257.470 * [simplify]: Simplified to (/ (* (pow PI (- 1/4 (/ k 4))) (pow n (- 1/4 (/ k 4)))) (/ (sqrt (sqrt k)) (pow PI (- 1/4 (/ k 4))))) 257.470 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (* (pow PI (- 1/4 (/ k 4))) (pow n (- 1/4 (/ k 4)))) (/ (sqrt (sqrt k)) (pow PI (- 1/4 (/ k 4))))))) 257.470 * * * * [progress]: [ 392 / 463 ] simplifiying candidate # 257.471 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 257.471 * * [simplify]: iters left: 6 (17 enodes) 257.480 * * [simplify]: iters left: 5 (72 enodes) 257.500 * * [simplify]: iters left: 4 (118 enodes) 257.523 * * [simplify]: iters left: 3 (217 enodes) 257.586 * * [simplify]: iters left: 2 (492 enodes) 257.761 * * [simplify]: Extracting #0: cost 1 inf + 0 257.761 * * [simplify]: Extracting #1: cost 86 inf + 0 257.763 * * [simplify]: Extracting #2: cost 284 inf + 0 257.766 * * [simplify]: Extracting #3: cost 391 inf + 3 257.769 * * [simplify]: Extracting #4: cost 412 inf + 1087 257.777 * * [simplify]: Extracting #5: cost 339 inf + 25178 257.810 * * [simplify]: Extracting #6: cost 141 inf + 158783 257.845 * * [simplify]: Extracting #7: cost 3 inf + 275908 257.907 * * [simplify]: Extracting #8: cost 0 inf + 275649 257.941 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 4)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 257.941 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 4)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 257.941 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 257.942 * * [simplify]: iters left: 6 (16 enodes) 257.946 * * [simplify]: iters left: 5 (67 enodes) 257.959 * * [simplify]: iters left: 4 (107 enodes) 257.990 * * [simplify]: iters left: 3 (192 enodes) 258.044 * * [simplify]: iters left: 2 (407 enodes) 258.167 * * [simplify]: Extracting #0: cost 1 inf + 0 258.167 * * [simplify]: Extracting #1: cost 60 inf + 0 258.168 * * [simplify]: Extracting #2: cost 177 inf + 0 258.170 * * [simplify]: Extracting #3: cost 263 inf + 3 258.173 * * [simplify]: Extracting #4: cost 275 inf + 2415 258.182 * * [simplify]: Extracting #5: cost 191 inf + 34278 258.206 * * [simplify]: Extracting #6: cost 96 inf + 85882 258.241 * * [simplify]: Extracting #7: cost 17 inf + 156715 258.282 * * [simplify]: Extracting #8: cost 1 inf + 167975 258.323 * * [simplify]: Extracting #9: cost 0 inf + 167922 258.349 * [simplify]: Simplified to (* (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 8))) (/ (pow n (/ (- 1 k) 8)) (sqrt (sqrt k)))) 258.349 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (* (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 8))) (/ (pow n (/ (- 1 k) 8)) (sqrt (sqrt k)))))) 258.350 * * * * [progress]: [ 393 / 463 ] simplifiying candidate # 258.350 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 258.350 * * [simplify]: iters left: 6 (16 enodes) 258.355 * * [simplify]: iters left: 5 (67 enodes) 258.366 * * [simplify]: iters left: 4 (108 enodes) 258.385 * * [simplify]: iters left: 3 (193 enodes) 258.452 * * [simplify]: iters left: 2 (408 enodes) 258.592 * * [simplify]: Extracting #0: cost 1 inf + 0 258.592 * * [simplify]: Extracting #1: cost 59 inf + 0 258.592 * * [simplify]: Extracting #2: cost 175 inf + 0 258.593 * * [simplify]: Extracting #3: cost 263 inf + 3 258.595 * * [simplify]: Extracting #4: cost 276 inf + 2668 258.601 * * [simplify]: Extracting #5: cost 162 inf + 46706 258.617 * * [simplify]: Extracting #6: cost 40 inf + 125595 258.638 * * [simplify]: Extracting #7: cost 0 inf + 157903 258.672 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 4)) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 258.672 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 4)) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 258.673 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 258.673 * * [simplify]: iters left: 6 (16 enodes) 258.678 * * [simplify]: iters left: 5 (67 enodes) 258.690 * * [simplify]: iters left: 4 (108 enodes) 258.714 * * [simplify]: iters left: 3 (193 enodes) 258.760 * * [simplify]: iters left: 2 (408 enodes) 258.884 * * [simplify]: Extracting #0: cost 1 inf + 0 258.884 * * [simplify]: Extracting #1: cost 59 inf + 0 258.885 * * [simplify]: Extracting #2: cost 175 inf + 0 258.887 * * [simplify]: Extracting #3: cost 263 inf + 3 258.890 * * [simplify]: Extracting #4: cost 276 inf + 2668 258.902 * * [simplify]: Extracting #5: cost 162 inf + 46706 258.934 * * [simplify]: Extracting #6: cost 40 inf + 125595 258.978 * * [simplify]: Extracting #7: cost 0 inf + 157903 259.014 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 4)) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 259.014 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (pow n (/ (- 1 k) 4)) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 259.014 * * * * [progress]: [ 394 / 463 ] simplifiying candidate # 259.014 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) 1)) 259.015 * * [simplify]: iters left: 6 (12 enodes) 259.019 * * [simplify]: iters left: 5 (50 enodes) 259.028 * * [simplify]: iters left: 4 (82 enodes) 259.048 * * [simplify]: iters left: 3 (137 enodes) 259.088 * * [simplify]: iters left: 2 (266 enodes) 259.160 * * [simplify]: Extracting #0: cost 1 inf + 0 259.161 * * [simplify]: Extracting #1: cost 28 inf + 0 259.161 * * [simplify]: Extracting #2: cost 83 inf + 1 259.161 * * [simplify]: Extracting #3: cost 139 inf + 4 259.162 * * [simplify]: Extracting #4: cost 143 inf + 469 259.164 * * [simplify]: Extracting #5: cost 81 inf + 12867 259.169 * * [simplify]: Extracting #6: cost 14 inf + 45687 259.179 * * [simplify]: Extracting #7: cost 0 inf + 54890 259.193 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 4)) (sqrt (sqrt k))) 259.193 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 4)) (sqrt (sqrt k))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 259.194 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 259.194 * * [simplify]: iters left: 6 (15 enodes) 259.203 * * [simplify]: iters left: 5 (64 enodes) 259.215 * * [simplify]: iters left: 4 (108 enodes) 259.236 * * [simplify]: iters left: 3 (214 enodes) 259.311 * * [simplify]: Extracting #0: cost 1 inf + 0 259.311 * * [simplify]: Extracting #1: cost 38 inf + 0 259.311 * * [simplify]: Extracting #2: cost 131 inf + 0 259.312 * * [simplify]: Extracting #3: cost 180 inf + 2 259.312 * * [simplify]: Extracting #4: cost 163 inf + 1667 259.315 * * [simplify]: Extracting #5: cost 105 inf + 16535 259.321 * * [simplify]: Extracting #6: cost 34 inf + 56992 259.331 * * [simplify]: Extracting #7: cost 0 inf + 82374 259.344 * * [simplify]: Extracting #8: cost 0 inf + 81547 259.359 * * [simplify]: Extracting #9: cost 0 inf + 81283 259.369 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 4)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 259.369 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) 1)) (/ (pow n (/ (- 1 k) 4)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 259.369 * * * * [progress]: [ 395 / 463 ] simplifiying candidate # 259.370 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 259.370 * * [simplify]: iters left: 6 (15 enodes) 259.374 * * [simplify]: iters left: 5 (64 enodes) 259.390 * * [simplify]: iters left: 4 (110 enodes) 259.415 * * [simplify]: iters left: 3 (215 enodes) 259.491 * * [simplify]: Extracting #0: cost 1 inf + 0 259.491 * * [simplify]: Extracting #1: cost 38 inf + 0 259.491 * * [simplify]: Extracting #2: cost 128 inf + 0 259.492 * * [simplify]: Extracting #3: cost 170 inf + 2 259.494 * * [simplify]: Extracting #4: cost 161 inf + 1840 259.497 * * [simplify]: Extracting #5: cost 112 inf + 13671 259.512 * * [simplify]: Extracting #6: cost 22 inf + 66896 259.531 * * [simplify]: Extracting #7: cost 0 inf + 84095 259.551 * * [simplify]: Extracting #8: cost 0 inf + 84094 259.571 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 4)) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 4)))) 259.571 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* 2 PI) (/ (- 1 k) 4)) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 4)))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 259.571 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 259.571 * * [simplify]: iters left: 6 (15 enodes) 259.577 * * [simplify]: iters left: 5 (64 enodes) 259.589 * * [simplify]: iters left: 4 (110 enodes) 259.612 * * [simplify]: iters left: 3 (215 enodes) 259.662 * * [simplify]: Extracting #0: cost 1 inf + 0 259.662 * * [simplify]: Extracting #1: cost 38 inf + 0 259.663 * * [simplify]: Extracting #2: cost 128 inf + 0 259.663 * * [simplify]: Extracting #3: cost 170 inf + 2 259.664 * * [simplify]: Extracting #4: cost 161 inf + 1840 259.666 * * [simplify]: Extracting #5: cost 112 inf + 13671 259.673 * * [simplify]: Extracting #6: cost 22 inf + 66896 259.687 * * [simplify]: Extracting #7: cost 0 inf + 84095 259.706 * * [simplify]: Extracting #8: cost 0 inf + 84094 259.726 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 4)) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 4)))) 259.726 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* 2 PI) (/ (- 1 k) 4)) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 4)))))) 259.726 * * * * [progress]: [ 396 / 463 ] simplifiying candidate # 259.727 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ 1 (pow 2 (/ (- 1 k) 2)))) 259.727 * * [simplify]: iters left: 6 (11 enodes) 259.734 * * [simplify]: iters left: 5 (51 enodes) 259.753 * * [simplify]: iters left: 4 (94 enodes) 259.787 * * [simplify]: iters left: 3 (200 enodes) 259.867 * * [simplify]: Extracting #0: cost 1 inf + 0 259.867 * * [simplify]: Extracting #1: cost 41 inf + 0 259.867 * * [simplify]: Extracting #2: cost 123 inf + 1 259.868 * * [simplify]: Extracting #3: cost 158 inf + 4 259.868 * * [simplify]: Extracting #4: cost 163 inf + 11 259.869 * * [simplify]: Extracting #5: cost 145 inf + 2384 259.872 * * [simplify]: Extracting #6: cost 78 inf + 23174 259.878 * * [simplify]: Extracting #7: cost 9 inf + 62122 259.893 * * [simplify]: Extracting #8: cost 0 inf + 68132 259.911 * * [simplify]: Extracting #9: cost 0 inf + 68012 259.920 * * [simplify]: Extracting #10: cost 0 inf + 67972 259.932 * [simplify]: Simplified to (* (pow n (/ (- 1 k) 4)) (pow 2 (/ (- 1 k) 2))) 259.932 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow n (/ (- 1 k) 4)) (pow 2 (/ (- 1 k) 2))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 259.932 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 259.932 * * [simplify]: iters left: 6 (13 enodes) 259.936 * * [simplify]: iters left: 5 (57 enodes) 259.952 * * [simplify]: iters left: 4 (104 enodes) 259.989 * * [simplify]: iters left: 3 (213 enodes) 260.088 * * [simplify]: Extracting #0: cost 1 inf + 0 260.088 * * [simplify]: Extracting #1: cost 38 inf + 0 260.089 * * [simplify]: Extracting #2: cost 131 inf + 0 260.090 * * [simplify]: Extracting #3: cost 173 inf + 45 260.092 * * [simplify]: Extracting #4: cost 158 inf + 1631 260.096 * * [simplify]: Extracting #5: cost 108 inf + 14792 260.108 * * [simplify]: Extracting #6: cost 24 inf + 61856 260.125 * * [simplify]: Extracting #7: cost 0 inf + 77902 260.143 * * [simplify]: Extracting #8: cost 0 inf + 77558 260.161 * [simplify]: Simplified to (* (pow PI (/ (- 1 k) 4)) (* (/ (pow n (/ (- 1 k) 4)) (sqrt k)) (pow PI (/ (- 1 k) 4)))) 260.161 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ 1 (pow 2 (/ (- 1 k) 2)))) (* (pow PI (/ (- 1 k) 4)) (* (/ (pow n (/ (- 1 k) 4)) (sqrt k)) (pow PI (/ (- 1 k) 4)))))) 260.161 * * * * [progress]: [ 397 / 463 ] simplifiying candidate # 260.161 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ 1 (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 260.161 * * [simplify]: iters left: 6 (15 enodes) 260.170 * * [simplify]: iters left: 5 (66 enodes) 260.193 * * [simplify]: iters left: 4 (108 enodes) 260.236 * * [simplify]: iters left: 3 (213 enodes) 260.300 * * [simplify]: Extracting #0: cost 1 inf + 0 260.301 * * [simplify]: Extracting #1: cost 34 inf + 0 260.301 * * [simplify]: Extracting #2: cost 92 inf + 1 260.302 * * [simplify]: Extracting #3: cost 138 inf + 2 260.303 * * [simplify]: Extracting #4: cost 159 inf + 10 260.305 * * [simplify]: Extracting #5: cost 142 inf + 1760 260.309 * * [simplify]: Extracting #6: cost 92 inf + 13076 260.320 * * [simplify]: Extracting #7: cost 27 inf + 52454 260.340 * * [simplify]: Extracting #8: cost 0 inf + 72833 260.358 * * [simplify]: Extracting #9: cost 0 inf + 72753 260.374 * [simplify]: Simplified to (* (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 4))) 260.374 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 4))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 260.375 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 260.375 * * [simplify]: iters left: 6 (15 enodes) 260.380 * * [simplify]: iters left: 5 (64 enodes) 260.391 * * [simplify]: iters left: 4 (107 enodes) 260.416 * * [simplify]: iters left: 3 (195 enodes) 260.471 * * [simplify]: iters left: 2 (404 enodes) 260.616 * * [simplify]: Extracting #0: cost 1 inf + 0 260.616 * * [simplify]: Extracting #1: cost 60 inf + 0 260.617 * * [simplify]: Extracting #2: cost 172 inf + 0 260.619 * * [simplify]: Extracting #3: cost 253 inf + 45 260.622 * * [simplify]: Extracting #4: cost 252 inf + 5827 260.629 * * [simplify]: Extracting #5: cost 201 inf + 19303 260.644 * * [simplify]: Extracting #6: cost 121 inf + 60553 260.665 * * [simplify]: Extracting #7: cost 16 inf + 143300 260.694 * * [simplify]: Extracting #8: cost 0 inf + 157827 260.732 * [simplify]: Simplified to (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ (- 1 k) 4)) (sqrt k))) 260.732 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ 1 (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ (- 1 k) 4)) (sqrt k))))) 260.732 * * * * [progress]: [ 398 / 463 ] simplifiying candidate # 260.733 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 260.733 * * [simplify]: iters left: 6 (14 enodes) 260.737 * * [simplify]: iters left: 5 (61 enodes) 260.749 * * [simplify]: iters left: 4 (101 enodes) 260.775 * * [simplify]: iters left: 3 (190 enodes) 260.819 * * [simplify]: iters left: 2 (405 enodes) 261.022 * * [simplify]: Extracting #0: cost 1 inf + 0 261.022 * * [simplify]: Extracting #1: cost 64 inf + 0 261.023 * * [simplify]: Extracting #2: cost 183 inf + 1 261.024 * * [simplify]: Extracting #3: cost 273 inf + 4 261.025 * * [simplify]: Extracting #4: cost 310 inf + 13 261.027 * * [simplify]: Extracting #5: cost 298 inf + 2009 261.031 * * [simplify]: Extracting #6: cost 209 inf + 20865 261.050 * * [simplify]: Extracting #7: cost 78 inf + 99958 261.091 * * [simplify]: Extracting #8: cost 2 inf + 164818 261.127 * * [simplify]: Extracting #9: cost 0 inf + 165759 261.151 * [simplify]: Simplified to (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 4))) 261.151 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 4))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 261.151 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 261.151 * * [simplify]: iters left: 6 (15 enodes) 261.156 * * [simplify]: iters left: 5 (64 enodes) 261.172 * * [simplify]: iters left: 4 (108 enodes) 261.207 * * [simplify]: iters left: 3 (196 enodes) 261.273 * * [simplify]: iters left: 2 (410 enodes) 261.395 * * [simplify]: Extracting #0: cost 1 inf + 0 261.395 * * [simplify]: Extracting #1: cost 60 inf + 0 261.395 * * [simplify]: Extracting #2: cost 172 inf + 0 261.396 * * [simplify]: Extracting #3: cost 253 inf + 45 261.397 * * [simplify]: Extracting #4: cost 263 inf + 2538 261.401 * * [simplify]: Extracting #5: cost 196 inf + 23217 261.419 * * [simplify]: Extracting #6: cost 47 inf + 118841 261.452 * * [simplify]: Extracting #7: cost 0 inf + 157718 261.470 * * [simplify]: Extracting #8: cost 0 inf + 156689 261.489 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 4)) (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 261.489 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (pow n (/ (- 1 k) 4)) (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 261.490 * * * * [progress]: [ 399 / 463 ] simplifiying candidate # 261.490 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ 1 1)) 261.490 * * [simplify]: iters left: 6 (10 enodes) 261.493 * * [simplify]: iters left: 5 (42 enodes) 261.501 * * [simplify]: iters left: 4 (70 enodes) 261.513 * * [simplify]: iters left: 3 (116 enodes) 261.550 * * [simplify]: iters left: 2 (211 enodes) 261.638 * * [simplify]: iters left: 1 (426 enodes) 261.908 * * [simplify]: Extracting #0: cost 1 inf + 0 261.908 * * [simplify]: Extracting #1: cost 52 inf + 0 261.909 * * [simplify]: Extracting #2: cost 153 inf + 3 261.911 * * [simplify]: Extracting #3: cost 201 inf + 10 261.914 * * [simplify]: Extracting #4: cost 172 inf + 3967 261.925 * * [simplify]: Extracting #5: cost 66 inf + 38825 261.957 * * [simplify]: Extracting #6: cost 0 inf + 76223 261.989 * * [simplify]: Extracting #7: cost 0 inf + 72312 262.022 * * [simplify]: Extracting #8: cost 0 inf + 72050 262.054 * [simplify]: Simplified to (pow n (/ (- 1 k) 4)) 262.054 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (/ (- 1 k) 4)) (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 262.055 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 262.055 * * [simplify]: iters left: 6 (14 enodes) 262.062 * * [simplify]: iters left: 5 (61 enodes) 262.081 * * [simplify]: iters left: 4 (108 enodes) 262.120 * * [simplify]: iters left: 3 (217 enodes) 262.205 * * [simplify]: Extracting #0: cost 1 inf + 0 262.205 * * [simplify]: Extracting #1: cost 38 inf + 0 262.207 * * [simplify]: Extracting #2: cost 131 inf + 0 262.208 * * [simplify]: Extracting #3: cost 177 inf + 44 262.210 * * [simplify]: Extracting #4: cost 165 inf + 1962 262.214 * * [simplify]: Extracting #5: cost 107 inf + 18412 262.230 * * [simplify]: Extracting #6: cost 13 inf + 73932 262.253 * * [simplify]: Extracting #7: cost 0 inf + 81746 262.271 * * [simplify]: Extracting #8: cost 0 inf + 80825 262.289 * * [simplify]: Extracting #9: cost 0 inf + 80693 262.306 * [simplify]: Simplified to (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 4)) (sqrt k))) 262.306 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ 1 1)) (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 4)) (sqrt k))))) 262.306 * * * * [progress]: [ 400 / 463 ] simplifiying candidate # 262.307 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ 1 (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 262.307 * * [simplify]: iters left: 6 (13 enodes) 262.314 * * [simplify]: iters left: 5 (58 enodes) 262.331 * * [simplify]: iters left: 4 (100 enodes) 262.366 * * [simplify]: iters left: 3 (204 enodes) 262.469 * * [simplify]: Extracting #0: cost 1 inf + 0 262.469 * * [simplify]: Extracting #1: cost 41 inf + 0 262.470 * * [simplify]: Extracting #2: cost 123 inf + 1 262.470 * * [simplify]: Extracting #3: cost 164 inf + 3 262.471 * * [simplify]: Extracting #4: cost 171 inf + 53 262.472 * * [simplify]: Extracting #5: cost 157 inf + 1343 262.474 * * [simplify]: Extracting #6: cost 99 inf + 15788 262.480 * * [simplify]: Extracting #7: cost 22 inf + 64744 262.489 * * [simplify]: Extracting #8: cost 0 inf + 79398 262.499 * * [simplify]: Extracting #9: cost 0 inf + 79109 262.521 * [simplify]: Simplified to (* (pow n (- 1/4 (/ k 4))) (pow (* 2 PI) (- 1/4 (/ k 4)))) 262.521 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow n (- 1/4 (/ k 4))) (pow (* 2 PI) (- 1/4 (/ k 4)))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 262.521 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 262.522 * * [simplify]: iters left: 6 (14 enodes) 262.530 * * [simplify]: iters left: 5 (61 enodes) 262.551 * * [simplify]: iters left: 4 (107 enodes) 262.580 * * [simplify]: iters left: 3 (212 enodes) 262.652 * * [simplify]: Extracting #0: cost 1 inf + 0 262.652 * * [simplify]: Extracting #1: cost 38 inf + 0 262.653 * * [simplify]: Extracting #2: cost 129 inf + 0 262.653 * * [simplify]: Extracting #3: cost 169 inf + 44 262.654 * * [simplify]: Extracting #4: cost 167 inf + 1136 262.656 * * [simplify]: Extracting #5: cost 126 inf + 9376 262.662 * * [simplify]: Extracting #6: cost 30 inf + 59464 262.681 * * [simplify]: Extracting #7: cost 3 inf + 79747 262.697 * * [simplify]: Extracting #8: cost 0 inf + 82102 262.706 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 4)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 4)))) 262.706 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ 1 (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (/ (pow n (/ (- 1 k) 4)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 4)))))) 262.706 * * * * [progress]: [ 401 / 463 ] simplifiying candidate # 262.707 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) 1) 262.707 * * [simplify]: iters left: 6 (9 enodes) 262.710 * * [simplify]: iters left: 5 (39 enodes) 262.718 * * [simplify]: iters left: 4 (69 enodes) 262.744 * * [simplify]: iters left: 3 (119 enodes) 262.771 * * [simplify]: iters left: 2 (226 enodes) 262.840 * * [simplify]: Extracting #0: cost 1 inf + 0 262.840 * * [simplify]: Extracting #1: cost 33 inf + 0 262.841 * * [simplify]: Extracting #2: cost 95 inf + 3 262.841 * * [simplify]: Extracting #3: cost 138 inf + 8 262.842 * * [simplify]: Extracting #4: cost 124 inf + 1971 262.848 * * [simplify]: Extracting #5: cost 41 inf + 24462 262.859 * * [simplify]: Extracting #6: cost 2 inf + 44267 262.867 * * [simplify]: Extracting #7: cost 0 inf + 44911 262.873 * [simplify]: Simplified to (pow n (/ (- 1 k) 4)) 262.873 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (/ (- 1 k) 4)) (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 262.873 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 262.873 * * [simplify]: iters left: 6 (14 enodes) 262.878 * * [simplify]: iters left: 5 (61 enodes) 262.889 * * [simplify]: iters left: 4 (108 enodes) 262.922 * * [simplify]: iters left: 3 (217 enodes) 262.993 * * [simplify]: Extracting #0: cost 1 inf + 0 262.994 * * [simplify]: Extracting #1: cost 38 inf + 0 262.994 * * [simplify]: Extracting #2: cost 131 inf + 0 262.995 * * [simplify]: Extracting #3: cost 177 inf + 44 262.997 * * [simplify]: Extracting #4: cost 165 inf + 1962 263.001 * * [simplify]: Extracting #5: cost 107 inf + 18412 263.015 * * [simplify]: Extracting #6: cost 13 inf + 73932 263.025 * * [simplify]: Extracting #7: cost 0 inf + 81746 263.035 * * [simplify]: Extracting #8: cost 0 inf + 80825 263.048 * * [simplify]: Extracting #9: cost 0 inf + 80693 263.058 * [simplify]: Simplified to (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 4)) (sqrt k))) 263.058 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) 1) (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 4)) (sqrt k))))) 263.058 * * * * [progress]: [ 402 / 463 ] simplifiying candidate # 263.058 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (sqrt k)) 263.058 * * [simplify]: iters left: 6 (10 enodes) 263.062 * * [simplify]: iters left: 5 (44 enodes) 263.073 * * [simplify]: iters left: 4 (74 enodes) 263.099 * * [simplify]: iters left: 3 (124 enodes) 263.135 * * [simplify]: iters left: 2 (228 enodes) 263.203 * * [simplify]: iters left: 1 (473 enodes) 263.416 * * [simplify]: Extracting #0: cost 1 inf + 0 263.416 * * [simplify]: Extracting #1: cost 43 inf + 0 263.417 * * [simplify]: Extracting #2: cost 133 inf + 0 263.418 * * [simplify]: Extracting #3: cost 208 inf + 46 263.419 * * [simplify]: Extracting #4: cost 208 inf + 1342 263.422 * * [simplify]: Extracting #5: cost 130 inf + 20054 263.449 * * [simplify]: Extracting #6: cost 13 inf + 97262 263.477 * * [simplify]: Extracting #7: cost 0 inf + 103968 263.505 * [simplify]: Simplified to (/ (pow n (- 1/4 (/ k 4))) (sqrt k)) 263.505 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/4 (/ k 4))) (sqrt k)) (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ 1 (pow (* 2 PI) (/ (- 1 k) 2)))))) 263.506 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ 1 (pow (* 2 PI) (/ (- 1 k) 2)))) 263.506 * * [simplify]: iters left: 6 (13 enodes) 263.514 * * [simplify]: iters left: 5 (58 enodes) 263.534 * * [simplify]: iters left: 4 (101 enodes) 263.571 * * [simplify]: iters left: 3 (212 enodes) 263.657 * * [simplify]: Extracting #0: cost 1 inf + 0 263.657 * * [simplify]: Extracting #1: cost 41 inf + 0 263.657 * * [simplify]: Extracting #2: cost 124 inf + 1 263.658 * * [simplify]: Extracting #3: cost 171 inf + 3 263.658 * * [simplify]: Extracting #4: cost 174 inf + 54 263.659 * * [simplify]: Extracting #5: cost 141 inf + 5427 263.663 * * [simplify]: Extracting #6: cost 66 inf + 35815 263.673 * * [simplify]: Extracting #7: cost 8 inf + 73371 263.686 * * [simplify]: Extracting #8: cost 0 inf + 78482 263.698 * * [simplify]: Extracting #9: cost 0 inf + 78308 263.707 * [simplify]: Simplified to (* (pow n (/ (- 1 k) 4)) (pow (* 2 PI) (/ (- 1 k) 2))) 263.707 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (sqrt k)) (* (pow n (/ (- 1 k) 4)) (pow (* 2 PI) (/ (- 1 k) 2))))) 263.707 * * * * [progress]: [ 403 / 463 ] simplifiying candidate # 263.707 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* 2 PI) (/ 1 2)))) 263.707 * * [simplify]: iters left: 6 (15 enodes) 263.712 * * [simplify]: iters left: 5 (64 enodes) 263.735 * * [simplify]: iters left: 4 (115 enodes) 263.777 * * [simplify]: iters left: 3 (238 enodes) 263.869 * * [simplify]: Extracting #0: cost 1 inf + 0 263.869 * * [simplify]: Extracting #1: cost 38 inf + 0 263.870 * * [simplify]: Extracting #2: cost 131 inf + 0 263.870 * * [simplify]: Extracting #3: cost 162 inf + 48 263.871 * * [simplify]: Extracting #4: cost 150 inf + 2255 263.873 * * [simplify]: Extracting #5: cost 91 inf + 20612 263.882 * * [simplify]: Extracting #6: cost 16 inf + 60860 263.898 * * [simplify]: Extracting #7: cost 0 inf + 70921 263.914 * [simplify]: Simplified to (* (sqrt (* 2 PI)) (/ (pow n (/ (- 1 k) 4)) (sqrt k))) 263.914 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (* 2 PI)) (/ (pow n (/ (- 1 k) 4)) (sqrt k))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (/ k 2))))) 263.914 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (/ k 2))) 263.914 * * [simplify]: iters left: 6 (13 enodes) 263.926 * * [simplify]: iters left: 5 (56 enodes) 263.945 * * [simplify]: iters left: 4 (94 enodes) 263.971 * * [simplify]: iters left: 3 (187 enodes) 264.039 * * [simplify]: Extracting #0: cost 1 inf + 0 264.039 * * [simplify]: Extracting #1: cost 39 inf + 0 264.042 * * [simplify]: Extracting #2: cost 117 inf + 0 264.042 * * [simplify]: Extracting #3: cost 164 inf + 2 264.043 * * [simplify]: Extracting #4: cost 160 inf + 966 264.045 * * [simplify]: Extracting #5: cost 95 inf + 15061 264.051 * * [simplify]: Extracting #6: cost 20 inf + 60349 264.062 * * [simplify]: Extracting #7: cost 0 inf + 75260 264.079 * * [simplify]: Extracting #8: cost 0 inf + 74559 264.096 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 4)) (pow (* 2 PI) (/ k 2))) 264.096 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* 2 PI) (/ 1 2)))) (/ (pow n (/ (- 1 k) 4)) (pow (* 2 PI) (/ k 2))))) 264.096 * * * * [progress]: [ 404 / 463 ] simplifiying candidate # 264.096 * * * * [progress]: [ 405 / 463 ] simplifiying candidate # 264.096 * * * * [progress]: [ 406 / 463 ] simplifiying candidate # 264.096 * * * * [progress]: [ 407 / 463 ] simplifiying candidate # 264.096 * [simplify]: Simplifying (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 264.097 * * [simplify]: iters left: 6 (11 enodes) 264.103 * * [simplify]: iters left: 5 (45 enodes) 264.119 * * [simplify]: iters left: 4 (68 enodes) 264.138 * * [simplify]: iters left: 3 (108 enodes) 264.163 * * [simplify]: iters left: 2 (205 enodes) 264.219 * * [simplify]: iters left: 1 (380 enodes) 264.341 * * [simplify]: Extracting #0: cost 1 inf + 0 264.341 * * [simplify]: Extracting #1: cost 3 inf + 0 264.341 * * [simplify]: Extracting #2: cost 8 inf + 0 264.341 * * [simplify]: Extracting #3: cost 37 inf + 0 264.342 * * [simplify]: Extracting #4: cost 120 inf + 84 264.347 * * [simplify]: Extracting #5: cost 155 inf + 673 264.352 * * [simplify]: Extracting #6: cost 113 inf + 13620 264.365 * * [simplify]: Extracting #7: cost 20 inf + 56386 264.385 * * [simplify]: Extracting #8: cost 0 inf + 65201 264.404 * * [simplify]: Extracting #9: cost 0 inf + 64880 264.423 * [simplify]: Simplified to (cbrt (/ (sqrt k) (pow (* 2 PI) (* 1/2 (- 1 k))))) 264.423 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (* (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) (cbrt (/ (sqrt k) (pow (* 2 PI) (* 1/2 (- 1 k))))))) 264.424 * * * * [progress]: [ 408 / 463 ] simplifiying candidate # 264.424 * [simplify]: Simplifying (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 264.424 * * [simplify]: iters left: 6 (11 enodes) 264.430 * * [simplify]: iters left: 5 (45 enodes) 264.445 * * [simplify]: iters left: 4 (68 enodes) 264.468 * * [simplify]: iters left: 3 (108 enodes) 264.513 * * [simplify]: iters left: 2 (205 enodes) 264.559 * * [simplify]: iters left: 1 (380 enodes) 264.716 * * [simplify]: Extracting #0: cost 1 inf + 0 264.716 * * [simplify]: Extracting #1: cost 3 inf + 0 264.716 * * [simplify]: Extracting #2: cost 8 inf + 0 264.716 * * [simplify]: Extracting #3: cost 37 inf + 0 264.717 * * [simplify]: Extracting #4: cost 120 inf + 84 264.719 * * [simplify]: Extracting #5: cost 155 inf + 673 264.724 * * [simplify]: Extracting #6: cost 113 inf + 13620 264.731 * * [simplify]: Extracting #7: cost 20 inf + 56346 264.742 * * [simplify]: Extracting #8: cost 0 inf + 65121 264.752 * * [simplify]: Extracting #9: cost 0 inf + 64800 264.770 * [simplify]: Simplified to (sqrt (/ (sqrt k) (pow (* 2 PI) (* 1/2 (- 1 k))))) 264.770 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) (sqrt (/ (sqrt k) (pow (* 2 PI) (* 1/2 (- 1 k))))))) 264.770 * * * * [progress]: [ 409 / 463 ] simplifiying candidate # 264.771 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2))) 264.771 * * [simplify]: iters left: 6 (10 enodes) 264.776 * * [simplify]: iters left: 5 (41 enodes) 264.791 * * [simplify]: iters left: 4 (64 enodes) 264.813 * * [simplify]: iters left: 3 (104 enodes) 264.836 * * [simplify]: iters left: 2 (198 enodes) 264.907 * * [simplify]: iters left: 1 (377 enodes) 265.051 * * [simplify]: Extracting #0: cost 1 inf + 0 265.051 * * [simplify]: Extracting #1: cost 6 inf + 0 265.052 * * [simplify]: Extracting #2: cost 39 inf + 0 265.052 * * [simplify]: Extracting #3: cost 126 inf + 2 265.053 * * [simplify]: Extracting #4: cost 186 inf + 376 265.055 * * [simplify]: Extracting #5: cost 156 inf + 5774 265.063 * * [simplify]: Extracting #6: cost 69 inf + 27838 265.079 * * [simplify]: Extracting #7: cost 11 inf + 62693 265.097 * * [simplify]: Extracting #8: cost 0 inf + 68967 265.116 * * [simplify]: Extracting #9: cost 0 inf + 68242 265.130 * * [simplify]: Extracting #10: cost 0 inf + 67990 265.140 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2))) 265.140 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (/ (- 1 k) 2)))) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2))))) 265.140 * * * * [progress]: [ 410 / 463 ] simplifiying candidate # 265.140 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) 265.140 * * [simplify]: iters left: 6 (12 enodes) 265.144 * * [simplify]: iters left: 5 (48 enodes) 265.153 * * [simplify]: iters left: 4 (73 enodes) 265.171 * * [simplify]: iters left: 3 (104 enodes) 265.206 * * [simplify]: iters left: 2 (172 enodes) 265.244 * * [simplify]: iters left: 1 (329 enodes) 265.391 * * [simplify]: Extracting #0: cost 1 inf + 0 265.392 * * [simplify]: Extracting #1: cost 4 inf + 0 265.392 * * [simplify]: Extracting #2: cost 8 inf + 0 265.392 * * [simplify]: Extracting #3: cost 37 inf + 0 265.392 * * [simplify]: Extracting #4: cost 109 inf + 43 265.393 * * [simplify]: Extracting #5: cost 139 inf + 713 265.394 * * [simplify]: Extracting #6: cost 103 inf + 6288 265.397 * * [simplify]: Extracting #7: cost 59 inf + 14866 265.403 * * [simplify]: Extracting #8: cost 23 inf + 38763 265.412 * * [simplify]: Extracting #9: cost 2 inf + 56752 265.422 * * [simplify]: Extracting #10: cost 0 inf + 57845 265.441 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) 265.441 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 265.442 * * * * [progress]: [ 411 / 463 ] simplifiying candidate # 265.442 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 265.442 * * [simplify]: iters left: 6 (12 enodes) 265.449 * * [simplify]: iters left: 5 (48 enodes) 265.466 * * [simplify]: iters left: 4 (74 enodes) 265.480 * * [simplify]: iters left: 3 (109 enodes) 265.508 * * [simplify]: iters left: 2 (182 enodes) 265.548 * * [simplify]: iters left: 1 (345 enodes) 265.726 * * [simplify]: Extracting #0: cost 1 inf + 0 265.726 * * [simplify]: Extracting #1: cost 4 inf + 0 265.726 * * [simplify]: Extracting #2: cost 9 inf + 0 265.726 * * [simplify]: Extracting #3: cost 35 inf + 0 265.727 * * [simplify]: Extracting #4: cost 109 inf + 43 265.728 * * [simplify]: Extracting #5: cost 129 inf + 955 265.730 * * [simplify]: Extracting #6: cost 79 inf + 8825 265.736 * * [simplify]: Extracting #7: cost 24 inf + 36176 265.745 * * [simplify]: Extracting #8: cost 0 inf + 55273 265.756 * * [simplify]: Extracting #9: cost 0 inf + 54222 265.772 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 265.773 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 265.773 * * * * [progress]: [ 412 / 463 ] simplifiying candidate # 265.774 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) 265.774 * * [simplify]: iters left: 6 (11 enodes) 265.781 * * [simplify]: iters left: 5 (45 enodes) 265.796 * * [simplify]: iters left: 4 (68 enodes) 265.823 * * [simplify]: iters left: 3 (108 enodes) 265.863 * * [simplify]: iters left: 2 (205 enodes) 265.942 * * [simplify]: iters left: 1 (384 enodes) 266.067 * * [simplify]: Extracting #0: cost 1 inf + 0 266.067 * * [simplify]: Extracting #1: cost 6 inf + 0 266.067 * * [simplify]: Extracting #2: cost 36 inf + 0 266.068 * * [simplify]: Extracting #3: cost 122 inf + 1 266.069 * * [simplify]: Extracting #4: cost 155 inf + 832 266.076 * * [simplify]: Extracting #5: cost 86 inf + 26046 266.094 * * [simplify]: Extracting #6: cost 12 inf + 63304 266.114 * * [simplify]: Extracting #7: cost 0 inf + 68976 266.135 * * [simplify]: Extracting #8: cost 0 inf + 68724 266.147 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))) 266.147 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))))) 266.147 * * * * [progress]: [ 413 / 463 ] simplifiying candidate # 266.147 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 266.147 * * [simplify]: iters left: 6 (12 enodes) 266.151 * * [simplify]: iters left: 5 (51 enodes) 266.163 * * [simplify]: iters left: 4 (81 enodes) 266.184 * * [simplify]: iters left: 3 (135 enodes) 266.217 * * [simplify]: iters left: 2 (260 enodes) 266.315 * * [simplify]: iters left: 1 (494 enodes) 266.558 * * [simplify]: Extracting #0: cost 1 inf + 0 266.559 * * [simplify]: Extracting #1: cost 6 inf + 0 266.559 * * [simplify]: Extracting #2: cost 38 inf + 0 266.559 * * [simplify]: Extracting #3: cost 141 inf + 1 266.561 * * [simplify]: Extracting #4: cost 209 inf + 424 266.567 * * [simplify]: Extracting #5: cost 140 inf + 15450 266.592 * * [simplify]: Extracting #6: cost 12 inf + 68049 266.615 * * [simplify]: Extracting #7: cost 0 inf + 73224 266.627 * * [simplify]: Extracting #8: cost 0 inf + 72260 266.639 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (* 2 PI) (- 1/4 (/ k 4)))) 266.639 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (/ (cbrt (sqrt k)) (pow (* 2 PI) (- 1/4 (/ k 4)))))) 266.639 * * * * [progress]: [ 414 / 463 ] simplifiying candidate # 266.639 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2))) 266.639 * * [simplify]: iters left: 6 (10 enodes) 266.642 * * [simplify]: iters left: 5 (41 enodes) 266.650 * * [simplify]: iters left: 4 (64 enodes) 266.662 * * [simplify]: iters left: 3 (104 enodes) 266.692 * * [simplify]: iters left: 2 (198 enodes) 266.734 * * [simplify]: iters left: 1 (377 enodes) 266.883 * * [simplify]: Extracting #0: cost 1 inf + 0 266.883 * * [simplify]: Extracting #1: cost 6 inf + 0 266.883 * * [simplify]: Extracting #2: cost 39 inf + 0 266.884 * * [simplify]: Extracting #3: cost 126 inf + 2 266.885 * * [simplify]: Extracting #4: cost 186 inf + 456 266.888 * * [simplify]: Extracting #5: cost 156 inf + 5854 266.896 * * [simplify]: Extracting #6: cost 69 inf + 27918 266.912 * * [simplify]: Extracting #7: cost 11 inf + 62773 266.931 * * [simplify]: Extracting #8: cost 0 inf + 69047 266.950 * * [simplify]: Extracting #9: cost 0 inf + 68322 266.961 * * [simplify]: Extracting #10: cost 0 inf + 68070 266.970 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2))) 266.970 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow 2 (/ (- 1 k) 2)))) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2))))) 266.970 * * * * [progress]: [ 415 / 463 ] simplifiying candidate # 266.971 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) 266.971 * * [simplify]: iters left: 6 (12 enodes) 266.974 * * [simplify]: iters left: 5 (48 enodes) 266.983 * * [simplify]: iters left: 4 (73 enodes) 267.001 * * [simplify]: iters left: 3 (104 enodes) 267.020 * * [simplify]: iters left: 2 (172 enodes) 267.064 * * [simplify]: iters left: 1 (329 enodes) 267.211 * * [simplify]: Extracting #0: cost 1 inf + 0 267.211 * * [simplify]: Extracting #1: cost 4 inf + 0 267.211 * * [simplify]: Extracting #2: cost 8 inf + 0 267.211 * * [simplify]: Extracting #3: cost 37 inf + 0 267.212 * * [simplify]: Extracting #4: cost 109 inf + 83 267.213 * * [simplify]: Extracting #5: cost 139 inf + 793 267.214 * * [simplify]: Extracting #6: cost 103 inf + 6368 267.217 * * [simplify]: Extracting #7: cost 59 inf + 14946 267.223 * * [simplify]: Extracting #8: cost 23 inf + 38843 267.231 * * [simplify]: Extracting #9: cost 2 inf + 56832 267.241 * * [simplify]: Extracting #10: cost 0 inf + 57925 267.257 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) 267.257 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (/ (sqrt (cbrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 267.257 * * * * [progress]: [ 416 / 463 ] simplifiying candidate # 267.258 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 267.258 * * [simplify]: iters left: 6 (12 enodes) 267.264 * * [simplify]: iters left: 5 (48 enodes) 267.278 * * [simplify]: iters left: 4 (74 enodes) 267.290 * * [simplify]: iters left: 3 (109 enodes) 267.316 * * [simplify]: iters left: 2 (182 enodes) 267.383 * * [simplify]: iters left: 1 (345 enodes) 267.550 * * [simplify]: Extracting #0: cost 1 inf + 0 267.550 * * [simplify]: Extracting #1: cost 4 inf + 0 267.551 * * [simplify]: Extracting #2: cost 9 inf + 0 267.551 * * [simplify]: Extracting #3: cost 35 inf + 0 267.551 * * [simplify]: Extracting #4: cost 109 inf + 83 267.552 * * [simplify]: Extracting #5: cost 129 inf + 1035 267.553 * * [simplify]: Extracting #6: cost 79 inf + 8905 267.559 * * [simplify]: Extracting #7: cost 24 inf + 36256 267.567 * * [simplify]: Extracting #8: cost 0 inf + 55353 267.581 * * [simplify]: Extracting #9: cost 0 inf + 54302 267.598 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 267.598 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (sqrt (cbrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 267.598 * * * * [progress]: [ 417 / 463 ] simplifiying candidate # 267.599 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) 267.599 * * [simplify]: iters left: 6 (11 enodes) 267.605 * * [simplify]: iters left: 5 (45 enodes) 267.621 * * [simplify]: iters left: 4 (68 enodes) 267.643 * * [simplify]: iters left: 3 (108 enodes) 267.671 * * [simplify]: iters left: 2 (205 enodes) 267.713 * * [simplify]: iters left: 1 (384 enodes) 267.859 * * [simplify]: Extracting #0: cost 1 inf + 0 267.859 * * [simplify]: Extracting #1: cost 6 inf + 0 267.860 * * [simplify]: Extracting #2: cost 36 inf + 0 267.860 * * [simplify]: Extracting #3: cost 122 inf + 1 267.861 * * [simplify]: Extracting #4: cost 155 inf + 912 267.864 * * [simplify]: Extracting #5: cost 86 inf + 26126 267.873 * * [simplify]: Extracting #6: cost 12 inf + 63384 267.889 * * [simplify]: Extracting #7: cost 0 inf + 69056 267.910 * * [simplify]: Extracting #8: cost 0 inf + 68804 267.930 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))) 267.930 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) 1)) (/ (sqrt (cbrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))))) 267.930 * * * * [progress]: [ 418 / 463 ] simplifiying candidate # 267.930 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 267.930 * * [simplify]: iters left: 6 (12 enodes) 267.934 * * [simplify]: iters left: 5 (51 enodes) 267.943 * * [simplify]: iters left: 4 (81 enodes) 267.960 * * [simplify]: iters left: 3 (135 enodes) 268.010 * * [simplify]: iters left: 2 (260 enodes) 268.092 * * [simplify]: iters left: 1 (494 enodes) 268.248 * * [simplify]: Extracting #0: cost 1 inf + 0 268.248 * * [simplify]: Extracting #1: cost 6 inf + 0 268.248 * * [simplify]: Extracting #2: cost 38 inf + 0 268.249 * * [simplify]: Extracting #3: cost 141 inf + 1 268.250 * * [simplify]: Extracting #4: cost 209 inf + 504 268.253 * * [simplify]: Extracting #5: cost 140 inf + 15530 268.263 * * [simplify]: Extracting #6: cost 12 inf + 68129 268.280 * * [simplify]: Extracting #7: cost 0 inf + 73304 268.305 * * [simplify]: Extracting #8: cost 0 inf + 72340 268.329 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (pow (* 2 PI) (- 1/4 (/ k 4)))) 268.330 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt (cbrt k)) (pow (* 2 PI) (- 1/4 (/ k 4)))))) 268.330 * * * * [progress]: [ 419 / 463 ] simplifiying candidate # 268.330 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2))) 268.330 * * [simplify]: iters left: 6 (10 enodes) 268.336 * * [simplify]: iters left: 5 (41 enodes) 268.350 * * [simplify]: iters left: 4 (64 enodes) 268.371 * * [simplify]: iters left: 3 (104 enodes) 268.409 * * [simplify]: iters left: 2 (198 enodes) 268.487 * * [simplify]: iters left: 1 (377 enodes) 268.601 * * [simplify]: Extracting #0: cost 1 inf + 0 268.601 * * [simplify]: Extracting #1: cost 6 inf + 0 268.601 * * [simplify]: Extracting #2: cost 39 inf + 0 268.601 * * [simplify]: Extracting #3: cost 126 inf + 2 268.602 * * [simplify]: Extracting #4: cost 186 inf + 296 268.607 * * [simplify]: Extracting #5: cost 156 inf + 5614 268.611 * * [simplify]: Extracting #6: cost 69 inf + 27398 268.619 * * [simplify]: Extracting #7: cost 11 inf + 61853 268.628 * * [simplify]: Extracting #8: cost 0 inf + 68047 268.637 * * [simplify]: Extracting #9: cost 0 inf + 67322 268.647 * * [simplify]: Extracting #10: cost 0 inf + 67070 268.657 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2))) 268.657 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2))))) 268.657 * * * * [progress]: [ 420 / 463 ] simplifiying candidate # 268.657 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) 268.657 * * [simplify]: iters left: 6 (12 enodes) 268.661 * * [simplify]: iters left: 5 (48 enodes) 268.670 * * [simplify]: iters left: 4 (73 enodes) 268.682 * * [simplify]: iters left: 3 (104 enodes) 268.706 * * [simplify]: iters left: 2 (172 enodes) 268.774 * * [simplify]: iters left: 1 (329 enodes) 268.921 * * [simplify]: Extracting #0: cost 1 inf + 0 268.921 * * [simplify]: Extracting #1: cost 4 inf + 0 268.921 * * [simplify]: Extracting #2: cost 8 inf + 0 268.921 * * [simplify]: Extracting #3: cost 37 inf + 0 268.922 * * [simplify]: Extracting #4: cost 109 inf + 43 268.923 * * [simplify]: Extracting #5: cost 139 inf + 673 268.926 * * [simplify]: Extracting #6: cost 103 inf + 6128 268.931 * * [simplify]: Extracting #7: cost 59 inf + 14706 268.943 * * [simplify]: Extracting #8: cost 23 inf + 38603 268.958 * * [simplify]: Extracting #9: cost 2 inf + 56592 268.975 * * [simplify]: Extracting #10: cost 0 inf + 57685 268.992 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) 268.992 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 268.992 * * * * [progress]: [ 421 / 463 ] simplifiying candidate # 268.992 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 268.992 * * [simplify]: iters left: 6 (12 enodes) 268.998 * * [simplify]: iters left: 5 (48 enodes) 269.013 * * [simplify]: iters left: 4 (74 enodes) 269.033 * * [simplify]: iters left: 3 (109 enodes) 269.069 * * [simplify]: iters left: 2 (182 enodes) 269.130 * * [simplify]: iters left: 1 (345 enodes) 269.306 * * [simplify]: Extracting #0: cost 1 inf + 0 269.306 * * [simplify]: Extracting #1: cost 4 inf + 0 269.306 * * [simplify]: Extracting #2: cost 9 inf + 0 269.306 * * [simplify]: Extracting #3: cost 35 inf + 0 269.307 * * [simplify]: Extracting #4: cost 109 inf + 43 269.308 * * [simplify]: Extracting #5: cost 129 inf + 875 269.312 * * [simplify]: Extracting #6: cost 79 inf + 8745 269.320 * * [simplify]: Extracting #7: cost 24 inf + 36016 269.329 * * [simplify]: Extracting #8: cost 0 inf + 55113 269.337 * * [simplify]: Extracting #9: cost 0 inf + 54062 269.345 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 269.345 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 269.345 * * * * [progress]: [ 422 / 463 ] simplifiying candidate # 269.346 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) 269.346 * * [simplify]: iters left: 6 (11 enodes) 269.349 * * [simplify]: iters left: 5 (45 enodes) 269.365 * * [simplify]: iters left: 4 (68 enodes) 269.388 * * [simplify]: iters left: 3 (108 enodes) 269.434 * * [simplify]: iters left: 2 (205 enodes) 269.474 * * [simplify]: iters left: 1 (384 enodes) 269.600 * * [simplify]: Extracting #0: cost 1 inf + 0 269.601 * * [simplify]: Extracting #1: cost 6 inf + 0 269.601 * * [simplify]: Extracting #2: cost 36 inf + 0 269.601 * * [simplify]: Extracting #3: cost 122 inf + 1 269.602 * * [simplify]: Extracting #4: cost 155 inf + 752 269.605 * * [simplify]: Extracting #5: cost 86 inf + 25726 269.614 * * [simplify]: Extracting #6: cost 12 inf + 62584 269.634 * * [simplify]: Extracting #7: cost 0 inf + 68056 269.654 * * [simplify]: Extracting #8: cost 0 inf + 67804 269.664 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))) 269.664 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))))) 269.664 * * * * [progress]: [ 423 / 463 ] simplifiying candidate # 269.665 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 269.665 * * [simplify]: iters left: 6 (12 enodes) 269.668 * * [simplify]: iters left: 5 (51 enodes) 269.677 * * [simplify]: iters left: 4 (81 enodes) 269.705 * * [simplify]: iters left: 3 (135 enodes) 269.731 * * [simplify]: iters left: 2 (260 enodes) 269.829 * * [simplify]: iters left: 1 (494 enodes) 270.056 * * [simplify]: Extracting #0: cost 1 inf + 0 270.056 * * [simplify]: Extracting #1: cost 6 inf + 0 270.056 * * [simplify]: Extracting #2: cost 38 inf + 0 270.056 * * [simplify]: Extracting #3: cost 141 inf + 1 270.057 * * [simplify]: Extracting #4: cost 209 inf + 384 270.060 * * [simplify]: Extracting #5: cost 140 inf + 15210 270.074 * * [simplify]: Extracting #6: cost 12 inf + 67249 270.090 * * [simplify]: Extracting #7: cost 0 inf + 72304 270.106 * * [simplify]: Extracting #8: cost 0 inf + 71340 270.127 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 PI) (- 1/4 (/ k 4)))) 270.127 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (- 1/4 (/ k 4)))))) 270.127 * * * * [progress]: [ 424 / 463 ] simplifiying candidate # 270.128 * [simplify]: Simplifying (/ (sqrt k) (pow PI (/ (- 1 k) 2))) 270.128 * * [simplify]: iters left: 6 (9 enodes) 270.131 * * [simplify]: iters left: 5 (38 enodes) 270.137 * * [simplify]: iters left: 4 (61 enodes) 270.148 * * [simplify]: iters left: 3 (101 enodes) 270.171 * * [simplify]: iters left: 2 (195 enodes) 270.243 * * [simplify]: iters left: 1 (362 enodes) 270.382 * * [simplify]: Extracting #0: cost 1 inf + 0 270.382 * * [simplify]: Extracting #1: cost 6 inf + 0 270.382 * * [simplify]: Extracting #2: cost 39 inf + 0 270.383 * * [simplify]: Extracting #3: cost 117 inf + 44 270.384 * * [simplify]: Extracting #4: cost 171 inf + 135 270.387 * * [simplify]: Extracting #5: cost 142 inf + 3046 270.392 * * [simplify]: Extracting #6: cost 72 inf + 16109 270.408 * * [simplify]: Extracting #7: cost 17 inf + 48084 270.425 * * [simplify]: Extracting #8: cost 0 inf + 62866 270.443 * * [simplify]: Extracting #9: cost 0 inf + 62600 270.460 * [simplify]: Simplified to (/ (sqrt k) (pow PI (/ (- 1 k) 2))) 270.460 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ (sqrt 1) (pow 2 (/ (- 1 k) 2)))) (/ (sqrt k) (pow PI (/ (- 1 k) 2))))) 270.461 * * * * [progress]: [ 425 / 463 ] simplifiying candidate # 270.461 * [simplify]: Simplifying (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) 270.461 * * [simplify]: iters left: 6 (11 enodes) 270.466 * * [simplify]: iters left: 5 (45 enodes) 270.474 * * [simplify]: iters left: 4 (66 enodes) 270.485 * * [simplify]: iters left: 3 (102 enodes) 270.514 * * [simplify]: iters left: 2 (193 enodes) 270.568 * * [simplify]: iters left: 1 (356 enodes) 270.686 * * [simplify]: Extracting #0: cost 1 inf + 0 270.686 * * [simplify]: Extracting #1: cost 4 inf + 0 270.686 * * [simplify]: Extracting #2: cost 8 inf + 0 270.686 * * [simplify]: Extracting #3: cost 33 inf + 1 270.686 * * [simplify]: Extracting #4: cost 103 inf + 84 270.687 * * [simplify]: Extracting #5: cost 153 inf + 133 270.687 * * [simplify]: Extracting #6: cost 138 inf + 1344 270.690 * * [simplify]: Extracting #7: cost 72 inf + 11699 270.702 * * [simplify]: Extracting #8: cost 25 inf + 40459 270.718 * * [simplify]: Extracting #9: cost 0 inf + 60745 270.727 * * [simplify]: Extracting #10: cost 0 inf + 59914 270.736 * [simplify]: Simplified to (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) 270.736 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ (sqrt 1) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 270.736 * * * * [progress]: [ 426 / 463 ] simplifiying candidate # 270.737 * [simplify]: Simplifying (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 270.737 * * [simplify]: iters left: 6 (11 enodes) 270.740 * * [simplify]: iters left: 5 (45 enodes) 270.748 * * [simplify]: iters left: 4 (67 enodes) 270.759 * * [simplify]: iters left: 3 (103 enodes) 270.786 * * [simplify]: iters left: 2 (191 enodes) 270.842 * * [simplify]: iters left: 1 (343 enodes) 270.979 * * [simplify]: Extracting #0: cost 1 inf + 0 270.979 * * [simplify]: Extracting #1: cost 4 inf + 0 270.979 * * [simplify]: Extracting #2: cost 9 inf + 0 270.979 * * [simplify]: Extracting #3: cost 39 inf + 1 270.980 * * [simplify]: Extracting #4: cost 117 inf + 43 270.981 * * [simplify]: Extracting #5: cost 149 inf + 258 270.983 * * [simplify]: Extracting #6: cost 115 inf + 4374 270.990 * * [simplify]: Extracting #7: cost 50 inf + 24889 271.006 * * [simplify]: Extracting #8: cost 7 inf + 56091 271.024 * * [simplify]: Extracting #9: cost 0 inf + 61956 271.046 * * [simplify]: Extracting #10: cost 0 inf + 61836 271.057 * [simplify]: Simplified to (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 271.057 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ (sqrt 1) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 271.057 * * * * [progress]: [ 427 / 463 ] simplifiying candidate # 271.058 * [simplify]: Simplifying (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))) 271.058 * * [simplify]: iters left: 6 (10 enodes) 271.061 * * [simplify]: iters left: 5 (42 enodes) 271.068 * * [simplify]: iters left: 4 (65 enodes) 271.082 * * [simplify]: iters left: 3 (102 enodes) 271.110 * * [simplify]: iters left: 2 (194 enodes) 271.154 * * [simplify]: iters left: 1 (367 enodes) 271.281 * * [simplify]: Extracting #0: cost 1 inf + 0 271.281 * * [simplify]: Extracting #1: cost 6 inf + 0 271.281 * * [simplify]: Extracting #2: cost 40 inf + 0 271.282 * * [simplify]: Extracting #3: cost 120 inf + 84 271.283 * * [simplify]: Extracting #4: cost 153 inf + 465 271.288 * * [simplify]: Extracting #5: cost 92 inf + 15289 271.302 * * [simplify]: Extracting #6: cost 21 inf + 48335 271.322 * * [simplify]: Extracting #7: cost 0 inf + 64786 271.343 * * [simplify]: Extracting #8: cost 0 inf + 64091 271.368 * [simplify]: Simplified to (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2)))) 271.368 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ (sqrt 1) 1)) (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2)))))) 271.368 * * * * [progress]: [ 428 / 463 ] simplifiying candidate # 271.368 * [simplify]: Simplifying (/ (sqrt k) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 271.368 * * [simplify]: iters left: 6 (11 enodes) 271.375 * * [simplify]: iters left: 5 (48 enodes) 271.391 * * [simplify]: iters left: 4 (75 enodes) 271.416 * * [simplify]: iters left: 3 (122 enodes) 271.460 * * [simplify]: iters left: 2 (231 enodes) 271.531 * * [simplify]: iters left: 1 (460 enodes) 271.734 * * [simplify]: Extracting #0: cost 1 inf + 0 271.734 * * [simplify]: Extracting #1: cost 6 inf + 0 271.734 * * [simplify]: Extracting #2: cost 40 inf + 0 271.735 * * [simplify]: Extracting #3: cost 135 inf + 43 271.736 * * [simplify]: Extracting #4: cost 174 inf + 1748 271.740 * * [simplify]: Extracting #5: cost 80 inf + 37210 271.758 * * [simplify]: Extracting #6: cost 6 inf + 67290 271.769 * * [simplify]: Extracting #7: cost 0 inf + 69531 271.781 * * [simplify]: Extracting #8: cost 0 inf + 68921 271.806 * * [simplify]: Extracting #9: cost 0 inf + 68163 271.817 * * [simplify]: Extracting #10: cost 0 inf + 67993 271.829 * [simplify]: Simplified to (/ (sqrt k) (pow (* 2 PI) (- 1/4 (/ k 4)))) 271.829 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ (sqrt 1) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt k) (pow (* 2 PI) (- 1/4 (/ k 4)))))) 271.829 * * * * [progress]: [ 429 / 463 ] simplifiying candidate # 271.829 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2))) 271.829 * * [simplify]: iters left: 6 (10 enodes) 271.832 * * [simplify]: iters left: 5 (41 enodes) 271.839 * * [simplify]: iters left: 4 (64 enodes) 271.851 * * [simplify]: iters left: 3 (104 enodes) 271.891 * * [simplify]: iters left: 2 (198 enodes) 271.967 * * [simplify]: iters left: 1 (377 enodes) 272.103 * * [simplify]: Extracting #0: cost 1 inf + 0 272.103 * * [simplify]: Extracting #1: cost 6 inf + 0 272.103 * * [simplify]: Extracting #2: cost 39 inf + 0 272.104 * * [simplify]: Extracting #3: cost 126 inf + 2 272.104 * * [simplify]: Extracting #4: cost 186 inf + 296 272.106 * * [simplify]: Extracting #5: cost 156 inf + 5614 272.114 * * [simplify]: Extracting #6: cost 69 inf + 27398 272.122 * * [simplify]: Extracting #7: cost 11 inf + 61853 272.131 * * [simplify]: Extracting #8: cost 0 inf + 68047 272.141 * * [simplify]: Extracting #9: cost 0 inf + 67322 272.155 * * [simplify]: Extracting #10: cost 0 inf + 67070 272.173 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2))) 272.173 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2))))) 272.173 * * * * [progress]: [ 430 / 463 ] simplifiying candidate # 272.174 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) 272.174 * * [simplify]: iters left: 6 (12 enodes) 272.177 * * [simplify]: iters left: 5 (48 enodes) 272.186 * * [simplify]: iters left: 4 (73 enodes) 272.198 * * [simplify]: iters left: 3 (104 enodes) 272.231 * * [simplify]: iters left: 2 (172 enodes) 272.293 * * [simplify]: iters left: 1 (329 enodes) 272.403 * * [simplify]: Extracting #0: cost 1 inf + 0 272.403 * * [simplify]: Extracting #1: cost 4 inf + 0 272.403 * * [simplify]: Extracting #2: cost 8 inf + 0 272.403 * * [simplify]: Extracting #3: cost 37 inf + 0 272.404 * * [simplify]: Extracting #4: cost 109 inf + 43 272.405 * * [simplify]: Extracting #5: cost 139 inf + 673 272.407 * * [simplify]: Extracting #6: cost 103 inf + 6128 272.413 * * [simplify]: Extracting #7: cost 59 inf + 14706 272.424 * * [simplify]: Extracting #8: cost 23 inf + 38603 272.442 * * [simplify]: Extracting #9: cost 2 inf + 56592 272.461 * * [simplify]: Extracting #10: cost 0 inf + 57685 272.472 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) 272.472 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 272.473 * * * * [progress]: [ 431 / 463 ] simplifiying candidate # 272.473 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 272.473 * * [simplify]: iters left: 6 (12 enodes) 272.476 * * [simplify]: iters left: 5 (48 enodes) 272.485 * * [simplify]: iters left: 4 (74 enodes) 272.498 * * [simplify]: iters left: 3 (109 enodes) 272.532 * * [simplify]: iters left: 2 (182 enodes) 272.574 * * [simplify]: iters left: 1 (345 enodes) 272.714 * * [simplify]: Extracting #0: cost 1 inf + 0 272.714 * * [simplify]: Extracting #1: cost 4 inf + 0 272.714 * * [simplify]: Extracting #2: cost 9 inf + 0 272.714 * * [simplify]: Extracting #3: cost 35 inf + 0 272.715 * * [simplify]: Extracting #4: cost 109 inf + 43 272.716 * * [simplify]: Extracting #5: cost 129 inf + 875 272.719 * * [simplify]: Extracting #6: cost 79 inf + 8745 272.730 * * [simplify]: Extracting #7: cost 24 inf + 36016 272.738 * * [simplify]: Extracting #8: cost 0 inf + 55113 272.746 * * [simplify]: Extracting #9: cost 0 inf + 54062 272.754 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 272.754 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 272.754 * * * * [progress]: [ 432 / 463 ] simplifiying candidate # 272.755 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) 272.755 * * [simplify]: iters left: 6 (11 enodes) 272.758 * * [simplify]: iters left: 5 (45 enodes) 272.769 * * [simplify]: iters left: 4 (68 enodes) 272.791 * * [simplify]: iters left: 3 (108 enodes) 272.816 * * [simplify]: iters left: 2 (205 enodes) 272.871 * * [simplify]: iters left: 1 (384 enodes) 273.017 * * [simplify]: Extracting #0: cost 1 inf + 0 273.017 * * [simplify]: Extracting #1: cost 6 inf + 0 273.017 * * [simplify]: Extracting #2: cost 36 inf + 0 273.018 * * [simplify]: Extracting #3: cost 122 inf + 1 273.019 * * [simplify]: Extracting #4: cost 155 inf + 752 273.026 * * [simplify]: Extracting #5: cost 86 inf + 25726 273.043 * * [simplify]: Extracting #6: cost 12 inf + 62584 273.063 * * [simplify]: Extracting #7: cost 0 inf + 68056 273.085 * * [simplify]: Extracting #8: cost 0 inf + 67804 273.105 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))) 273.105 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))))) 273.105 * * * * [progress]: [ 433 / 463 ] simplifiying candidate # 273.106 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 273.106 * * [simplify]: iters left: 6 (12 enodes) 273.113 * * [simplify]: iters left: 5 (51 enodes) 273.125 * * [simplify]: iters left: 4 (81 enodes) 273.145 * * [simplify]: iters left: 3 (135 enodes) 273.178 * * [simplify]: iters left: 2 (260 enodes) 273.249 * * [simplify]: iters left: 1 (494 enodes) 273.529 * * [simplify]: Extracting #0: cost 1 inf + 0 273.529 * * [simplify]: Extracting #1: cost 6 inf + 0 273.529 * * [simplify]: Extracting #2: cost 38 inf + 0 273.529 * * [simplify]: Extracting #3: cost 141 inf + 1 273.530 * * [simplify]: Extracting #4: cost 209 inf + 384 273.533 * * [simplify]: Extracting #5: cost 140 inf + 15210 273.543 * * [simplify]: Extracting #6: cost 12 inf + 67249 273.566 * * [simplify]: Extracting #7: cost 0 inf + 72304 273.584 * * [simplify]: Extracting #8: cost 0 inf + 71340 273.596 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 PI) (- 1/4 (/ k 4)))) 273.596 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (- 1/4 (/ k 4)))))) 273.596 * * * * [progress]: [ 434 / 463 ] simplifiying candidate # 273.596 * [simplify]: Simplifying (/ (sqrt k) (pow PI (/ (- 1 k) 2))) 273.596 * * [simplify]: iters left: 6 (9 enodes) 273.599 * * [simplify]: iters left: 5 (38 enodes) 273.611 * * [simplify]: iters left: 4 (61 enodes) 273.632 * * [simplify]: iters left: 3 (101 enodes) 273.671 * * [simplify]: iters left: 2 (195 enodes) 273.747 * * [simplify]: iters left: 1 (362 enodes) 273.887 * * [simplify]: Extracting #0: cost 1 inf + 0 273.888 * * [simplify]: Extracting #1: cost 6 inf + 0 273.888 * * [simplify]: Extracting #2: cost 39 inf + 0 273.888 * * [simplify]: Extracting #3: cost 117 inf + 44 273.889 * * [simplify]: Extracting #4: cost 171 inf + 135 273.891 * * [simplify]: Extracting #5: cost 142 inf + 3046 273.896 * * [simplify]: Extracting #6: cost 72 inf + 16109 273.909 * * [simplify]: Extracting #7: cost 17 inf + 48084 273.928 * * [simplify]: Extracting #8: cost 0 inf + 62866 273.937 * * [simplify]: Extracting #9: cost 0 inf + 62600 273.946 * [simplify]: Simplified to (/ (sqrt k) (pow PI (/ (- 1 k) 2))) 273.946 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ 1 (pow 2 (/ (- 1 k) 2)))) (/ (sqrt k) (pow PI (/ (- 1 k) 2))))) 273.946 * * * * [progress]: [ 435 / 463 ] simplifiying candidate # 273.946 * [simplify]: Simplifying (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) 273.946 * * [simplify]: iters left: 6 (11 enodes) 273.949 * * [simplify]: iters left: 5 (45 enodes) 273.960 * * [simplify]: iters left: 4 (66 enodes) 273.979 * * [simplify]: iters left: 3 (102 enodes) 274.000 * * [simplify]: iters left: 2 (193 enodes) 274.045 * * [simplify]: iters left: 1 (356 enodes) 274.193 * * [simplify]: Extracting #0: cost 1 inf + 0 274.193 * * [simplify]: Extracting #1: cost 4 inf + 0 274.193 * * [simplify]: Extracting #2: cost 8 inf + 0 274.193 * * [simplify]: Extracting #3: cost 33 inf + 1 274.193 * * [simplify]: Extracting #4: cost 103 inf + 84 274.194 * * [simplify]: Extracting #5: cost 153 inf + 133 274.195 * * [simplify]: Extracting #6: cost 138 inf + 1344 274.197 * * [simplify]: Extracting #7: cost 72 inf + 11699 274.203 * * [simplify]: Extracting #8: cost 25 inf + 40459 274.215 * * [simplify]: Extracting #9: cost 0 inf + 60745 274.230 * * [simplify]: Extracting #10: cost 0 inf + 59914 274.241 * [simplify]: Simplified to (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) 274.241 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ 1 (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 274.241 * * * * [progress]: [ 436 / 463 ] simplifiying candidate # 274.241 * [simplify]: Simplifying (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 274.241 * * [simplify]: iters left: 6 (11 enodes) 274.245 * * [simplify]: iters left: 5 (45 enodes) 274.253 * * [simplify]: iters left: 4 (67 enodes) 274.266 * * [simplify]: iters left: 3 (103 enodes) 274.292 * * [simplify]: iters left: 2 (191 enodes) 274.349 * * [simplify]: iters left: 1 (343 enodes) 274.461 * * [simplify]: Extracting #0: cost 1 inf + 0 274.461 * * [simplify]: Extracting #1: cost 4 inf + 0 274.461 * * [simplify]: Extracting #2: cost 9 inf + 0 274.462 * * [simplify]: Extracting #3: cost 39 inf + 1 274.462 * * [simplify]: Extracting #4: cost 117 inf + 43 274.463 * * [simplify]: Extracting #5: cost 149 inf + 258 274.466 * * [simplify]: Extracting #6: cost 115 inf + 4374 274.473 * * [simplify]: Extracting #7: cost 50 inf + 24889 274.488 * * [simplify]: Extracting #8: cost 7 inf + 56091 274.507 * * [simplify]: Extracting #9: cost 0 inf + 61956 274.525 * * [simplify]: Extracting #10: cost 0 inf + 61836 274.539 * [simplify]: Simplified to (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 274.539 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ 1 (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 274.539 * * * * [progress]: [ 437 / 463 ] simplifiying candidate # 274.539 * [simplify]: Simplifying (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))) 274.539 * * [simplify]: iters left: 6 (10 enodes) 274.543 * * [simplify]: iters left: 5 (42 enodes) 274.550 * * [simplify]: iters left: 4 (65 enodes) 274.568 * * [simplify]: iters left: 3 (102 enodes) 274.588 * * [simplify]: iters left: 2 (194 enodes) 274.637 * * [simplify]: iters left: 1 (367 enodes) 274.749 * * [simplify]: Extracting #0: cost 1 inf + 0 274.749 * * [simplify]: Extracting #1: cost 6 inf + 0 274.749 * * [simplify]: Extracting #2: cost 40 inf + 0 274.749 * * [simplify]: Extracting #3: cost 120 inf + 84 274.750 * * [simplify]: Extracting #4: cost 153 inf + 465 274.753 * * [simplify]: Extracting #5: cost 92 inf + 15289 274.760 * * [simplify]: Extracting #6: cost 21 inf + 48335 274.770 * * [simplify]: Extracting #7: cost 0 inf + 64786 274.787 * * [simplify]: Extracting #8: cost 0 inf + 64091 274.803 * [simplify]: Simplified to (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2)))) 274.803 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ 1 1)) (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2)))))) 274.803 * * * * [progress]: [ 438 / 463 ] simplifiying candidate # 274.803 * [simplify]: Simplifying (/ (sqrt k) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 274.803 * * [simplify]: iters left: 6 (11 enodes) 274.807 * * [simplify]: iters left: 5 (48 enodes) 274.816 * * [simplify]: iters left: 4 (75 enodes) 274.832 * * [simplify]: iters left: 3 (122 enodes) 274.867 * * [simplify]: iters left: 2 (231 enodes) 274.931 * * [simplify]: iters left: 1 (460 enodes) 275.116 * * [simplify]: Extracting #0: cost 1 inf + 0 275.116 * * [simplify]: Extracting #1: cost 6 inf + 0 275.116 * * [simplify]: Extracting #2: cost 40 inf + 0 275.117 * * [simplify]: Extracting #3: cost 135 inf + 43 275.118 * * [simplify]: Extracting #4: cost 174 inf + 1748 275.123 * * [simplify]: Extracting #5: cost 80 inf + 37210 275.145 * * [simplify]: Extracting #6: cost 6 inf + 67290 275.169 * * [simplify]: Extracting #7: cost 0 inf + 69531 275.192 * * [simplify]: Extracting #8: cost 0 inf + 68921 275.219 * * [simplify]: Extracting #9: cost 0 inf + 68163 275.241 * * [simplify]: Extracting #10: cost 0 inf + 67993 275.263 * [simplify]: Simplified to (/ (sqrt k) (pow (* 2 PI) (- 1/4 (/ k 4)))) 275.263 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ 1 (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt k) (pow (* 2 PI) (- 1/4 (/ k 4)))))) 275.263 * * * * [progress]: [ 439 / 463 ] simplifiying candidate # 275.263 * [simplify]: Simplifying (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))) 275.263 * * [simplify]: iters left: 6 (10 enodes) 275.269 * * [simplify]: iters left: 5 (42 enodes) 275.283 * * [simplify]: iters left: 4 (65 enodes) 275.305 * * [simplify]: iters left: 3 (102 enodes) 275.329 * * [simplify]: iters left: 2 (194 enodes) 275.376 * * [simplify]: iters left: 1 (367 enodes) 275.500 * * [simplify]: Extracting #0: cost 1 inf + 0 275.500 * * [simplify]: Extracting #1: cost 6 inf + 0 275.500 * * [simplify]: Extracting #2: cost 40 inf + 0 275.501 * * [simplify]: Extracting #3: cost 120 inf + 84 275.501 * * [simplify]: Extracting #4: cost 153 inf + 465 275.504 * * [simplify]: Extracting #5: cost 92 inf + 15289 275.511 * * [simplify]: Extracting #6: cost 21 inf + 48335 275.524 * * [simplify]: Extracting #7: cost 0 inf + 64786 275.535 * * [simplify]: Extracting #8: cost 0 inf + 64091 275.553 * [simplify]: Simplified to (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2)))) 275.553 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) 1) (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2)))))) 275.554 * * * * [progress]: [ 440 / 463 ] simplifiying candidate # 275.554 * [simplify]: Simplifying (/ 1 (pow (* 2 PI) (/ (- 1 k) 2))) 275.554 * * [simplify]: iters left: 6 (9 enodes) 275.559 * * [simplify]: iters left: 5 (39 enodes) 275.572 * * [simplify]: iters left: 4 (62 enodes) 275.594 * * [simplify]: iters left: 3 (102 enodes) 275.628 * * [simplify]: iters left: 2 (196 enodes) 275.696 * * [simplify]: iters left: 1 (370 enodes) 275.849 * * [simplify]: Extracting #0: cost 1 inf + 0 275.849 * * [simplify]: Extracting #1: cost 6 inf + 0 275.850 * * [simplify]: Extracting #2: cost 39 inf + 1 275.850 * * [simplify]: Extracting #3: cost 124 inf + 2 275.852 * * [simplify]: Extracting #4: cost 167 inf + 93 275.853 * * [simplify]: Extracting #5: cost 164 inf + 432 275.857 * * [simplify]: Extracting #6: cost 104 inf + 8831 275.865 * * [simplify]: Extracting #7: cost 65 inf + 20294 275.879 * * [simplify]: Extracting #8: cost 20 inf + 52350 275.904 * * [simplify]: Extracting #9: cost 0 inf + 69824 275.916 * * [simplify]: Extracting #10: cost 0 inf + 68093 275.927 * [simplify]: Simplified to (/ 1 (pow (* PI 2) (* 1/2 (- 1 k)))) 275.927 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (sqrt k)) (/ 1 (pow (* PI 2) (* 1/2 (- 1 k)))))) 275.927 * * * * [progress]: [ 441 / 463 ] simplifiying candidate # 275.928 * [simplify]: Simplifying (pow (* 2 PI) (/ k 2)) 275.928 * * [simplify]: iters left: 3 (6 enodes) 275.930 * * [simplify]: iters left: 2 (22 enodes) 275.933 * * [simplify]: iters left: 1 (34 enodes) 275.940 * * [simplify]: Extracting #0: cost 1 inf + 0 275.940 * * [simplify]: Extracting #1: cost 10 inf + 0 275.940 * * [simplify]: Extracting #2: cost 26 inf + 0 275.941 * * [simplify]: Extracting #3: cost 23 inf + 128 275.941 * * [simplify]: Extracting #4: cost 10 inf + 1713 275.942 * * [simplify]: Extracting #5: cost 0 inf + 4919 275.943 * [simplify]: Simplified to (pow (* 2 PI) (/ k 2)) 275.943 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ 1 2)))) (pow (* 2 PI) (/ k 2)))) 275.943 * * * * [progress]: [ 442 / 463 ] simplifiying candidate # 275.944 * [simplify]: Simplifying (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) 275.944 * * [simplify]: iters left: 5 (9 enodes) 275.948 * * [simplify]: iters left: 4 (38 enodes) 275.962 * * [simplify]: iters left: 3 (63 enodes) 275.983 * * [simplify]: iters left: 2 (98 enodes) 276.012 * * [simplify]: iters left: 1 (167 enodes) 276.045 * * [simplify]: Extracting #0: cost 1 inf + 0 276.045 * * [simplify]: Extracting #1: cost 13 inf + 0 276.045 * * [simplify]: Extracting #2: cost 54 inf + 1 276.045 * * [simplify]: Extracting #3: cost 87 inf + 5 276.046 * * [simplify]: Extracting #4: cost 68 inf + 1334 276.047 * * [simplify]: Extracting #5: cost 40 inf + 5047 276.049 * * [simplify]: Extracting #6: cost 11 inf + 17686 276.053 * * [simplify]: Extracting #7: cost 0 inf + 25802 276.056 * [simplify]: Simplified to (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) 276.056 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))) (pow (cbrt n) (/ (- 1 k) 2))))) 276.056 * * * * [progress]: [ 443 / 463 ] simplifiying candidate # 276.057 * [simplify]: Simplifying (pow (sqrt n) (/ (- 1 k) 2)) 276.057 * * [simplify]: iters left: 5 (8 enodes) 276.059 * * [simplify]: iters left: 4 (35 enodes) 276.065 * * [simplify]: iters left: 3 (56 enodes) 276.075 * * [simplify]: iters left: 2 (89 enodes) 276.096 * * [simplify]: iters left: 1 (175 enodes) 276.133 * * [simplify]: Extracting #0: cost 1 inf + 0 276.133 * * [simplify]: Extracting #1: cost 13 inf + 0 276.133 * * [simplify]: Extracting #2: cost 53 inf + 1 276.133 * * [simplify]: Extracting #3: cost 83 inf + 47 276.134 * * [simplify]: Extracting #4: cost 66 inf + 2084 276.135 * * [simplify]: Extracting #5: cost 25 inf + 7926 276.137 * * [simplify]: Extracting #6: cost 3 inf + 20905 276.140 * * [simplify]: Extracting #7: cost 0 inf + 22641 276.146 * * [simplify]: Extracting #8: cost 0 inf + 22420 276.152 * [simplify]: Simplified to (pow (sqrt n) (/ (- 1 k) 2)) 276.153 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))) (pow (sqrt n) (/ (- 1 k) 2))))) 276.153 * * * * [progress]: [ 444 / 463 ] simplifiying candidate # 276.153 * [simplify]: Simplifying (pow 1 (/ (- 1 k) 2)) 276.153 * * [simplify]: iters left: 5 (6 enodes) 276.157 * * [simplify]: iters left: 4 (24 enodes) 276.165 * * [simplify]: iters left: 3 (33 enodes) 276.174 * * [simplify]: Extracting #0: cost 1 inf + 0 276.174 * * [simplify]: Extracting #1: cost 0 inf + 1 276.174 * [simplify]: Simplified to 1 276.174 * [simplify]: Simplified (2 1) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))))) 276.174 * * * * [progress]: [ 445 / 463 ] simplifiying candidate # 276.174 * [simplify]: Simplifying (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) 276.174 * * [simplify]: iters left: 6 (9 enodes) 276.177 * * [simplify]: iters left: 5 (38 enodes) 276.187 * * [simplify]: iters left: 4 (63 enodes) 276.198 * * [simplify]: iters left: 3 (98 enodes) 276.229 * * [simplify]: iters left: 2 (167 enodes) 276.291 * * [simplify]: iters left: 1 (317 enodes) 276.402 * * [simplify]: Extracting #0: cost 1 inf + 0 276.402 * * [simplify]: Extracting #1: cost 3 inf + 0 276.402 * * [simplify]: Extracting #2: cost 5 inf + 0 276.403 * * [simplify]: Extracting #3: cost 30 inf + 0 276.403 * * [simplify]: Extracting #4: cost 100 inf + 2 276.404 * * [simplify]: Extracting #5: cost 139 inf + 8 276.406 * * [simplify]: Extracting #6: cost 127 inf + 1426 276.410 * * [simplify]: Extracting #7: cost 61 inf + 14370 276.417 * * [simplify]: Extracting #8: cost 3 inf + 52971 276.425 * * [simplify]: Extracting #9: cost 0 inf + 54607 276.432 * [simplify]: Simplified to (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) 276.433 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))))) 276.433 * * * * [progress]: [ 446 / 463 ] simplifiying candidate # 276.433 * [simplify]: Simplifying (sqrt (pow n (/ (- 1 k) 2))) 276.433 * * [simplify]: iters left: 6 (8 enodes) 276.436 * * [simplify]: iters left: 5 (35 enodes) 276.443 * * [simplify]: iters left: 4 (57 enodes) 276.454 * * [simplify]: iters left: 3 (90 enodes) 276.476 * * [simplify]: iters left: 2 (176 enodes) 276.523 * * [simplify]: iters left: 1 (337 enodes) 276.656 * * [simplify]: Extracting #0: cost 1 inf + 0 276.656 * * [simplify]: Extracting #1: cost 4 inf + 0 276.656 * * [simplify]: Extracting #2: cost 32 inf + 0 276.657 * * [simplify]: Extracting #3: cost 112 inf + 2 276.658 * * [simplify]: Extracting #4: cost 140 inf + 9 276.659 * * [simplify]: Extracting #5: cost 140 inf + 138 276.662 * * [simplify]: Extracting #6: cost 89 inf + 7770 276.669 * * [simplify]: Extracting #7: cost 47 inf + 18849 276.683 * * [simplify]: Extracting #8: cost 7 inf + 47750 276.697 * * [simplify]: Extracting #9: cost 0 inf + 52260 276.705 * * [simplify]: Extracting #10: cost 0 inf + 52048 276.714 * [simplify]: Simplified to (sqrt (pow n (/ (- 1 k) 2))) 276.714 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt (pow n (/ (- 1 k) 2)))))) 276.714 * * * * [progress]: [ 447 / 463 ] simplifiying candidate # 276.714 * * * * [progress]: [ 448 / 463 ] simplifiying candidate # 276.714 * [simplify]: Simplifying (pow n (/ (/ (- 1 k) 2) 2)) 276.714 * * [simplify]: iters left: 6 (8 enodes) 276.718 * * [simplify]: iters left: 5 (38 enodes) 276.728 * * [simplify]: iters left: 4 (66 enodes) 276.752 * * [simplify]: iters left: 3 (110 enodes) 276.779 * * [simplify]: iters left: 2 (200 enodes) 276.851 * * [simplify]: iters left: 1 (403 enodes) 277.021 * * [simplify]: Extracting #0: cost 1 inf + 0 277.022 * * [simplify]: Extracting #1: cost 26 inf + 0 277.022 * * [simplify]: Extracting #2: cost 100 inf + 2 277.023 * * [simplify]: Extracting #3: cost 164 inf + 10 277.025 * * [simplify]: Extracting #4: cost 157 inf + 1472 277.032 * * [simplify]: Extracting #5: cost 64 inf + 19273 277.046 * * [simplify]: Extracting #6: cost 8 inf + 47461 277.054 * * [simplify]: Extracting #7: cost 0 inf + 52807 277.063 * [simplify]: Simplified to (pow n (- 1/4 (/ k 4))) 277.063 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow n (- 1/4 (/ k 4))) (/ (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (/ (- 1 k) 2) 2))))) 277.063 * * * * [progress]: [ 449 / 463 ] simplifiying candidate # 277.063 * [simplify]: Simplifying (pow (* 2 PI) (/ (- 1 k) 2)) 277.063 * * [simplify]: iters left: 5 (8 enodes) 277.066 * * [simplify]: iters left: 4 (36 enodes) 277.074 * * [simplify]: iters left: 3 (57 enodes) 277.094 * * [simplify]: iters left: 2 (90 enodes) 277.120 * * [simplify]: iters left: 1 (176 enodes) 277.174 * * [simplify]: Extracting #0: cost 1 inf + 0 277.174 * * [simplify]: Extracting #1: cost 13 inf + 0 277.175 * * [simplify]: Extracting #2: cost 55 inf + 1 277.175 * * [simplify]: Extracting #3: cost 86 inf + 6 277.175 * * [simplify]: Extracting #4: cost 68 inf + 2553 277.177 * * [simplify]: Extracting #5: cost 24 inf + 10048 277.180 * * [simplify]: Extracting #6: cost 3 inf + 21580 277.183 * * [simplify]: Extracting #7: cost 0 inf + 23439 277.188 * [simplify]: Simplified to (pow (* 2 PI) (/ (- 1 k) 2)) 277.188 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 277.189 * * * * [progress]: [ 450 / 463 ] simplifiying candidate # 277.189 * [simplify]: Simplifying (pow n (/ 1 2)) 277.189 * * [simplify]: iters left: 3 (5 enodes) 277.193 * * [simplify]: iters left: 2 (22 enodes) 277.204 * * [simplify]: iters left: 1 (42 enodes) 277.220 * * [simplify]: Extracting #0: cost 1 inf + 0 277.220 * * [simplify]: Extracting #1: cost 9 inf + 0 277.220 * * [simplify]: Extracting #2: cost 12 inf + 2 277.220 * * [simplify]: Extracting #3: cost 7 inf + 510 277.221 * * [simplify]: Extracting #4: cost 1 inf + 2073 277.221 * * [simplify]: Extracting #5: cost 0 inf + 2325 277.221 * [simplify]: Simplified to (sqrt n) 277.221 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt n) (* (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ k 2))))) 277.221 * * * * [progress]: [ 451 / 463 ] simplifiying candidate #real (real->posit16 (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))))> 277.221 * * * * [progress]: [ 452 / 463 ] simplifiying candidate # 277.221 * [simplify]: Simplifying (- (+ (* 1/8 (* (* (sqrt 2) (* (pow k 2) (pow (log (* 2 PI)) 2))) (sqrt PI))) (pow (* 2 PI) 1/2)) (* 1/2 (* (* (sqrt 2) (* k (log (* 2 PI)))) (sqrt PI)))) 277.222 * * [simplify]: iters left: 6 (22 enodes) 277.229 * * [simplify]: iters left: 5 (108 enodes) 277.258 * * [simplify]: iters left: 4 (266 enodes) 277.367 * * [simplify]: Extracting #0: cost 1 inf + 0 277.367 * * [simplify]: Extracting #1: cost 10 inf + 0 277.368 * * [simplify]: Extracting #2: cost 103 inf + 0 277.369 * * [simplify]: Extracting #3: cost 280 inf + 45 277.375 * * [simplify]: Extracting #4: cost 237 inf + 14519 277.396 * * [simplify]: Extracting #5: cost 28 inf + 66560 277.427 * * [simplify]: Extracting #6: cost 0 inf + 73411 277.446 * * [simplify]: Extracting #7: cost 0 inf + 73211 277.460 * * [simplify]: Extracting #8: cost 0 inf + 73131 277.478 * [simplify]: Simplified to (+ (* (sqrt 2) (- (* (* (* k (log (* PI 2))) (* k (log (* PI 2)))) (* (sqrt PI) 1/8)) (* (* k (log (* PI 2))) (* 1/2 (sqrt PI))))) (sqrt (* PI 2))) 277.478 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (+ (* (sqrt 2) (- (* (* (* k (log (* PI 2))) (* k (log (* PI 2)))) (* (sqrt PI) 1/8)) (* (* k (log (* PI 2))) (* 1/2 (sqrt PI))))) (sqrt (* PI 2)))))) 277.478 * * * * [progress]: [ 453 / 463 ] simplifiying candidate # 277.478 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) 277.478 * * [simplify]: iters left: 6 (11 enodes) 277.483 * * [simplify]: iters left: 5 (47 enodes) 277.493 * * [simplify]: iters left: 4 (98 enodes) 277.916 * * [simplify]: iters left: 3 (252 enodes) 277.975 * * [simplify]: Extracting #0: cost 1 inf + 0 277.975 * * [simplify]: Extracting #1: cost 32 inf + 0 277.975 * * [simplify]: Extracting #2: cost 123 inf + 1 277.977 * * [simplify]: Extracting #3: cost 162 inf + 2239 277.980 * * [simplify]: Extracting #4: cost 95 inf + 13136 277.994 * * [simplify]: Extracting #5: cost 16 inf + 30533 278.006 * * [simplify]: Extracting #6: cost 0 inf + 35741 278.014 * * [simplify]: Extracting #7: cost 0 inf + 35654 278.020 * [simplify]: Simplified to (sqrt (exp (- (log (* 2 PI)) (* (log (* 2 PI)) k)))) 278.020 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (sqrt (exp (- (log (* 2 PI)) (* (log (* 2 PI)) k))))))) 278.020 * * * * [progress]: [ 454 / 463 ] simplifiying candidate # 278.020 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) 278.021 * * [simplify]: iters left: 6 (11 enodes) 278.025 * * [simplify]: iters left: 5 (47 enodes) 278.034 * * [simplify]: iters left: 4 (98 enodes) 278.060 * * [simplify]: iters left: 3 (252 enodes) 278.149 * * [simplify]: Extracting #0: cost 1 inf + 0 278.150 * * [simplify]: Extracting #1: cost 32 inf + 0 278.150 * * [simplify]: Extracting #2: cost 123 inf + 1 278.152 * * [simplify]: Extracting #3: cost 162 inf + 2239 278.155 * * [simplify]: Extracting #4: cost 95 inf + 13136 278.165 * * [simplify]: Extracting #5: cost 16 inf + 30533 278.178 * * [simplify]: Extracting #6: cost 0 inf + 35741 278.190 * * [simplify]: Extracting #7: cost 0 inf + 35654 278.202 * [simplify]: Simplified to (sqrt (exp (- (log (* 2 PI)) (* (log (* 2 PI)) k)))) 278.202 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (sqrt (exp (- (log (* 2 PI)) (* (log (* 2 PI)) k))))))) 278.202 * * * * [progress]: [ 455 / 463 ] simplifiying candidate # 278.203 * [simplify]: Simplifying (- (+ (pow n 1/2) (* 1/8 (* (sqrt n) (* (pow (log n) 2) (pow k 2))))) (* 1/2 (* (sqrt n) (* (log n) k)))) 278.203 * * [simplify]: iters left: 6 (18 enodes) 278.212 * * [simplify]: iters left: 5 (83 enodes) 278.230 * * [simplify]: iters left: 4 (209 enodes) 278.314 * * [simplify]: Extracting #0: cost 1 inf + 0 278.314 * * [simplify]: Extracting #1: cost 10 inf + 0 278.314 * * [simplify]: Extracting #2: cost 88 inf + 0 278.315 * * [simplify]: Extracting #3: cost 161 inf + 5 278.317 * * [simplify]: Extracting #4: cost 138 inf + 3919 278.326 * * [simplify]: Extracting #5: cost 21 inf + 35430 278.337 * * [simplify]: Extracting #6: cost 0 inf + 39667 278.349 * * [simplify]: Extracting #7: cost 0 inf + 39427 278.361 * [simplify]: Simplified to (+ (sqrt n) (* (sqrt n) (- (* (* 1/8 (* k (log n))) (* k (log n))) (* 1/2 (* k (log n)))))) 278.361 * [simplify]: Simplified (2 1) to (λ (k n) (/ (+ (sqrt n) (* (sqrt n) (- (* (* 1/8 (* k (log n))) (* k (log n))) (* 1/2 (* k (log n)))))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 278.361 * * * * [progress]: [ 456 / 463 ] simplifiying candidate # 278.362 * [simplify]: Simplifying (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) 278.362 * * [simplify]: iters left: 6 (10 enodes) 278.368 * * [simplify]: iters left: 5 (44 enodes) 278.383 * * [simplify]: iters left: 4 (87 enodes) 278.416 * * [simplify]: iters left: 3 (209 enodes) 278.483 * * [simplify]: Extracting #0: cost 1 inf + 0 278.483 * * [simplify]: Extracting #1: cost 32 inf + 0 278.483 * * [simplify]: Extracting #2: cost 114 inf + 73 278.485 * * [simplify]: Extracting #3: cost 146 inf + 1532 278.489 * * [simplify]: Extracting #4: cost 64 inf + 14982 278.498 * * [simplify]: Extracting #5: cost 4 inf + 29158 278.508 * * [simplify]: Extracting #6: cost 0 inf + 31027 278.518 * * [simplify]: Extracting #7: cost 0 inf + 30987 278.528 * [simplify]: Simplified to (exp (* (* (log n) 1/2) (- 1 k))) 278.528 * [simplify]: Simplified (2 1) to (λ (k n) (/ (exp (* (* (log n) 1/2) (- 1 k))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 278.528 * * * * [progress]: [ 457 / 463 ] simplifiying candidate # 278.528 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) 278.528 * * [simplify]: iters left: 6 (13 enodes) 278.536 * * [simplify]: iters left: 5 (53 enodes) 278.561 * * [simplify]: iters left: 4 (109 enodes) 278.596 * * [simplify]: iters left: 3 (305 enodes) 278.735 * * [simplify]: Extracting #0: cost 1 inf + 0 278.735 * * [simplify]: Extracting #1: cost 34 inf + 0 278.736 * * [simplify]: Extracting #2: cost 135 inf + 73 278.738 * * [simplify]: Extracting #3: cost 197 inf + 2363 278.744 * * [simplify]: Extracting #4: cost 91 inf + 20834 278.757 * * [simplify]: Extracting #5: cost 9 inf + 40850 278.773 * * [simplify]: Extracting #6: cost 0 inf + 43041 278.787 * * [simplify]: Extracting #7: cost 0 inf + 43035 278.794 * [simplify]: Simplified to (sqrt (exp (- (log n) (* k (log n))))) 278.795 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (exp (- (log n) (* k (log n))))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 278.795 * * * * [progress]: [ 458 / 463 ] simplifiying candidate # 278.795 * [simplify]: Simplifying (- (+ (* +nan.0 (* (sqrt (/ 1 PI)) (* (sqrt 1/2) (pow k 2)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (sqrt (/ 1 PI)) (* (sqrt 1/2) (pow k 3)))) (- (+ (* +nan.0 (* (* (pow (log (* 2 PI)) 2) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 3)))) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (* (log (* 2 PI)) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 3)))) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (* (pow (log (* 2 PI)) 2) (* (pow (sqrt 2) 2) (* (pow (sqrt 1/2) 3) (pow k 3)))) (sqrt (/ 1 PI)))) (- (* +nan.0 (* (sqrt (/ 1 PI)) (* (sqrt 1/2) k)))))))))))))))) 278.795 * [simplify]: Simplified (2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) +nan.0)) 278.795 * * * * [progress]: [ 459 / 463 ] simplifiying candidate # 278.796 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) k))) (- (+ (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))))) (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (pow k 2))))))))) 278.796 * [simplify]: Simplified (2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) +nan.0)) 278.796 * * * * [progress]: [ 460 / 463 ] simplifiying candidate # 278.796 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) k))) (- (+ (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))))) (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (pow k 2))))))))) 278.796 * [simplify]: Simplified (2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) +nan.0)) 278.796 * * * * [progress]: [ 461 / 463 ] simplifiying candidate # 278.796 * [simplify]: Simplifying (- (+ (* +nan.0 (* (* (sqrt 2) (pow k 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) k) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (pow (log (* 2 PI)) 2) (* (sqrt 2) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log n) 2) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log n) k)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log n) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log (* 2 PI)) (* (sqrt 2) (* (log n) (pow k 2)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* k (log (* 2 PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (log (* 2 PI)) (* (sqrt 2) (pow k 2))) (sqrt (* n PI))))))))))))))))))))))) 278.796 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 278.797 * * * * [progress]: [ 462 / 463 ] simplifiying candidate # 278.797 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) k)) (- (* +nan.0 (/ (* (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (pow k 3)))))))) 278.797 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 278.797 * * * * [progress]: [ 463 / 463 ] simplifiying candidate # 278.797 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (pow k 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))))) (- (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) k))))))) 278.797 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 278.799 * * * [progress]: adding candidates to table 285.042 * [progress]: [Phase 3 of 3] Extracting. 285.042 * * [regime]: Finding splitpoints for: (# # # # # #) 285.044 * * * [regime-changes]: Trying 2 branch expressions: (n k) 285.044 * * * * [regimes]: Trying to branch on n from (# # # # # #) 285.098 * * * * [regimes]: Trying to branch on k from (# # # # # #) 285.141 * * * [regime]: Found split indices: #