0.002 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.197 * * * [progress]: [2/2] Setting up program. 0.200 * [progress]: [Phase 2 of 3] Improving. 0.200 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.200 * [simplify]: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 0.200 * * [simplify]: iters left: 6 (13 enodes) 0.204 * * [simplify]: iters left: 5 (57 enodes) 0.215 * * [simplify]: iters left: 4 (96 enodes) 0.240 * * [simplify]: iters left: 3 (174 enodes) 0.304 * * [simplify]: iters left: 2 (354 enodes) 0.451 * * [simplify]: Extracting #0: cost 1 inf + 0 0.451 * * [simplify]: Extracting #1: cost 44 inf + 0 0.452 * * [simplify]: Extracting #2: cost 135 inf + 1 0.452 * * [simplify]: Extracting #3: cost 177 inf + 127 0.457 * * [simplify]: Extracting #4: cost 179 inf + 468 0.461 * * [simplify]: Extracting #5: cost 133 inf + 9682 0.474 * * [simplify]: Extracting #6: cost 56 inf + 43879 0.500 * * [simplify]: Extracting #7: cost 2 inf + 85360 0.527 * * [simplify]: Extracting #8: cost 0 inf + 87304 0.555 * [simplify]: Simplified to (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 0.555 * [simplify]: Simplified (2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 0.567 * * [progress]: iteration 1 / 4 0.567 * * * [progress]: picking best candidate 0.577 * * * * [pick]: Picked # 0.577 * * * [progress]: localizing error 0.615 * * * [progress]: generating rewritten candidates 0.615 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.630 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.650 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.673 * * * [progress]: generating series expansions 0.673 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.675 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) 0.675 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0 0.675 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 0.675 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 0.675 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 0.675 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 0.675 * [taylor]: Taking taylor expansion of 1/2 in k 0.675 * [backup-simplify]: Simplify 1/2 into 1/2 0.675 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.675 * [taylor]: Taking taylor expansion of 1 in k 0.675 * [backup-simplify]: Simplify 1 into 1 0.675 * [taylor]: Taking taylor expansion of k in k 0.675 * [backup-simplify]: Simplify 0 into 0 0.675 * [backup-simplify]: Simplify 1 into 1 0.675 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 0.675 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 0.675 * [taylor]: Taking taylor expansion of 2 in k 0.675 * [backup-simplify]: Simplify 2 into 2 0.675 * [taylor]: Taking taylor expansion of (* n PI) in k 0.675 * [taylor]: Taking taylor expansion of n in k 0.675 * [backup-simplify]: Simplify n into n 0.675 * [taylor]: Taking taylor expansion of PI in k 0.675 * [backup-simplify]: Simplify PI into PI 0.675 * [backup-simplify]: Simplify (* n PI) into (* n PI) 0.675 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 0.675 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 0.676 * [backup-simplify]: Simplify (- 0) into 0 0.677 * [backup-simplify]: Simplify (+ 1 0) into 1 0.677 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.677 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 0.677 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 0.677 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.677 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.677 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.677 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.677 * [taylor]: Taking taylor expansion of 1/2 in n 0.678 * [backup-simplify]: Simplify 1/2 into 1/2 0.678 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.678 * [taylor]: Taking taylor expansion of 1 in n 0.678 * [backup-simplify]: Simplify 1 into 1 0.678 * [taylor]: Taking taylor expansion of k in n 0.678 * [backup-simplify]: Simplify k into k 0.678 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.678 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.678 * [taylor]: Taking taylor expansion of 2 in n 0.678 * [backup-simplify]: Simplify 2 into 2 0.678 * [taylor]: Taking taylor expansion of (* n PI) in n 0.678 * [taylor]: Taking taylor expansion of n in n 0.678 * [backup-simplify]: Simplify 0 into 0 0.678 * [backup-simplify]: Simplify 1 into 1 0.678 * [taylor]: Taking taylor expansion of PI in n 0.678 * [backup-simplify]: Simplify PI into PI 0.678 * [backup-simplify]: Simplify (* 0 PI) into 0 0.679 * [backup-simplify]: Simplify (* 2 0) into 0 0.680 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.682 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.683 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.683 * [backup-simplify]: Simplify (- k) into (- k) 0.683 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.683 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 0.684 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.685 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 0.686 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0.686 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.686 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.687 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.687 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.687 * [taylor]: Taking taylor expansion of 1/2 in n 0.687 * [backup-simplify]: Simplify 1/2 into 1/2 0.687 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.687 * [taylor]: Taking taylor expansion of 1 in n 0.687 * [backup-simplify]: Simplify 1 into 1 0.687 * [taylor]: Taking taylor expansion of k in n 0.687 * [backup-simplify]: Simplify k into k 0.687 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.687 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.687 * [taylor]: Taking taylor expansion of 2 in n 0.687 * [backup-simplify]: Simplify 2 into 2 0.687 * [taylor]: Taking taylor expansion of (* n PI) in n 0.687 * [taylor]: Taking taylor expansion of n in n 0.687 * [backup-simplify]: Simplify 0 into 0 0.687 * [backup-simplify]: Simplify 1 into 1 0.687 * [taylor]: Taking taylor expansion of PI in n 0.687 * [backup-simplify]: Simplify PI into PI 0.687 * [backup-simplify]: Simplify (* 0 PI) into 0 0.688 * [backup-simplify]: Simplify (* 2 0) into 0 0.689 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.691 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.692 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.692 * [backup-simplify]: Simplify (- k) into (- k) 0.692 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.692 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 0.693 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.694 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 0.695 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0.695 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 0.695 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 0.696 * [taylor]: Taking taylor expansion of 1/2 in k 0.696 * [backup-simplify]: Simplify 1/2 into 1/2 0.696 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 0.696 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.696 * [taylor]: Taking taylor expansion of 1 in k 0.696 * [backup-simplify]: Simplify 1 into 1 0.696 * [taylor]: Taking taylor expansion of k in k 0.696 * [backup-simplify]: Simplify 0 into 0 0.696 * [backup-simplify]: Simplify 1 into 1 0.696 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 0.696 * [taylor]: Taking taylor expansion of (log n) in k 0.696 * [taylor]: Taking taylor expansion of n in k 0.696 * [backup-simplify]: Simplify n into n 0.696 * [backup-simplify]: Simplify (log n) into (log n) 0.696 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.696 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.696 * [taylor]: Taking taylor expansion of 2 in k 0.696 * [backup-simplify]: Simplify 2 into 2 0.696 * [taylor]: Taking taylor expansion of PI in k 0.696 * [backup-simplify]: Simplify PI into PI 0.696 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.697 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.697 * [backup-simplify]: Simplify (- 0) into 0 0.698 * [backup-simplify]: Simplify (+ 1 0) into 1 0.698 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.699 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 0.700 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 0.700 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0.701 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0.701 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 0.702 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 0.703 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.703 * [backup-simplify]: Simplify (- 0) into 0 0.704 * [backup-simplify]: Simplify (+ 0 0) into 0 0.706 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 0.707 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.708 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 0.709 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.709 * [taylor]: Taking taylor expansion of 0 in k 0.709 * [backup-simplify]: Simplify 0 into 0 0.709 * [backup-simplify]: Simplify 0 into 0 0.710 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 0.710 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 0.711 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.712 * [backup-simplify]: Simplify (+ 0 0) into 0 0.712 * [backup-simplify]: Simplify (- 1) into -1 0.712 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.713 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 0.714 * [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))))) 0.716 * [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))))))) 0.718 * [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))))))) 0.719 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 0.719 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 0.721 * [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 0.721 * [backup-simplify]: Simplify (- 0) into 0 0.722 * [backup-simplify]: Simplify (+ 0 0) into 0 0.722 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 0.723 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.724 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.725 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.725 * [taylor]: Taking taylor expansion of 0 in k 0.725 * [backup-simplify]: Simplify 0 into 0 0.725 * [backup-simplify]: Simplify 0 into 0 0.725 * [backup-simplify]: Simplify 0 into 0 0.727 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 0.727 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 0.729 * [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 0.729 * [backup-simplify]: Simplify (+ 0 0) into 0 0.729 * [backup-simplify]: Simplify (- 0) into 0 0.730 * [backup-simplify]: Simplify (+ 0 0) into 0 0.731 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.732 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.735 * [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))))) 0.738 * [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))))) 0.747 * [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))))) 0.748 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) 0.748 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 0.748 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 0.748 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 0.748 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 0.748 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 0.748 * [taylor]: Taking taylor expansion of 1/2 in k 0.748 * [backup-simplify]: Simplify 1/2 into 1/2 0.748 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 0.748 * [taylor]: Taking taylor expansion of 1 in k 0.748 * [backup-simplify]: Simplify 1 into 1 0.748 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.748 * [taylor]: Taking taylor expansion of k in k 0.748 * [backup-simplify]: Simplify 0 into 0 0.748 * [backup-simplify]: Simplify 1 into 1 0.748 * [backup-simplify]: Simplify (/ 1 1) into 1 0.748 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 0.748 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 0.748 * [taylor]: Taking taylor expansion of 2 in k 0.748 * [backup-simplify]: Simplify 2 into 2 0.749 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.749 * [taylor]: Taking taylor expansion of PI in k 0.749 * [backup-simplify]: Simplify PI into PI 0.749 * [taylor]: Taking taylor expansion of n in k 0.749 * [backup-simplify]: Simplify n into n 0.749 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 0.749 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 0.749 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 0.749 * [backup-simplify]: Simplify (- 1) into -1 0.750 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.750 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 0.750 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 0.750 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 0.751 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 0.751 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 0.751 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 0.751 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 0.751 * [taylor]: Taking taylor expansion of 1/2 in n 0.751 * [backup-simplify]: Simplify 1/2 into 1/2 0.751 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 0.751 * [taylor]: Taking taylor expansion of 1 in n 0.751 * [backup-simplify]: Simplify 1 into 1 0.751 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.751 * [taylor]: Taking taylor expansion of k in n 0.751 * [backup-simplify]: Simplify k into k 0.751 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.751 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 0.751 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.751 * [taylor]: Taking taylor expansion of 2 in n 0.751 * [backup-simplify]: Simplify 2 into 2 0.751 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.751 * [taylor]: Taking taylor expansion of PI in n 0.751 * [backup-simplify]: Simplify PI into PI 0.751 * [taylor]: Taking taylor expansion of n in n 0.751 * [backup-simplify]: Simplify 0 into 0 0.751 * [backup-simplify]: Simplify 1 into 1 0.752 * [backup-simplify]: Simplify (/ PI 1) into PI 0.752 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.753 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.753 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 0.753 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 0.753 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 0.755 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.756 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 0.757 * [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))))) 0.757 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 0.757 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 0.757 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 0.757 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 0.757 * [taylor]: Taking taylor expansion of 1/2 in n 0.757 * [backup-simplify]: Simplify 1/2 into 1/2 0.757 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 0.757 * [taylor]: Taking taylor expansion of 1 in n 0.757 * [backup-simplify]: Simplify 1 into 1 0.757 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.757 * [taylor]: Taking taylor expansion of k in n 0.757 * [backup-simplify]: Simplify k into k 0.757 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.757 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 0.758 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.758 * [taylor]: Taking taylor expansion of 2 in n 0.758 * [backup-simplify]: Simplify 2 into 2 0.758 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.758 * [taylor]: Taking taylor expansion of PI in n 0.758 * [backup-simplify]: Simplify PI into PI 0.758 * [taylor]: Taking taylor expansion of n in n 0.758 * [backup-simplify]: Simplify 0 into 0 0.758 * [backup-simplify]: Simplify 1 into 1 0.758 * [backup-simplify]: Simplify (/ PI 1) into PI 0.759 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.760 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.760 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 0.760 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 0.760 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 0.761 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.762 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 0.763 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0.763 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 0.764 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 0.764 * [taylor]: Taking taylor expansion of 1/2 in k 0.764 * [backup-simplify]: Simplify 1/2 into 1/2 0.764 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 0.764 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 0.764 * [taylor]: Taking taylor expansion of 1 in k 0.764 * [backup-simplify]: Simplify 1 into 1 0.764 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.764 * [taylor]: Taking taylor expansion of k in k 0.764 * [backup-simplify]: Simplify 0 into 0 0.764 * [backup-simplify]: Simplify 1 into 1 0.764 * [backup-simplify]: Simplify (/ 1 1) into 1 0.764 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 0.764 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.764 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.764 * [taylor]: Taking taylor expansion of 2 in k 0.764 * [backup-simplify]: Simplify 2 into 2 0.764 * [taylor]: Taking taylor expansion of PI in k 0.764 * [backup-simplify]: Simplify PI into PI 0.765 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.765 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.765 * [taylor]: Taking taylor expansion of (log n) in k 0.765 * [taylor]: Taking taylor expansion of n in k 0.765 * [backup-simplify]: Simplify n into n 0.766 * [backup-simplify]: Simplify (log n) into (log n) 0.766 * [backup-simplify]: Simplify (- 1) into -1 0.766 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.766 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 0.767 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 0.767 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 0.768 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 0.769 * [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))))) 0.769 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0.770 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.770 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 0.771 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.772 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.772 * [backup-simplify]: Simplify (- 0) into 0 0.772 * [backup-simplify]: Simplify (+ 0 0) into 0 0.772 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 0.773 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.774 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 0.775 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.775 * [taylor]: Taking taylor expansion of 0 in k 0.775 * [backup-simplify]: Simplify 0 into 0 0.775 * [backup-simplify]: Simplify 0 into 0 0.775 * [backup-simplify]: Simplify 0 into 0 0.776 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.777 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 0.778 * [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 0.778 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.779 * [backup-simplify]: Simplify (- 0) into 0 0.779 * [backup-simplify]: Simplify (+ 0 0) into 0 0.779 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 0.780 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.781 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 0.783 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.783 * [taylor]: Taking taylor expansion of 0 in k 0.783 * [backup-simplify]: Simplify 0 into 0 0.783 * [backup-simplify]: Simplify 0 into 0 0.783 * [backup-simplify]: Simplify 0 into 0 0.783 * [backup-simplify]: Simplify 0 into 0 0.784 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.784 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.787 * [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 0.788 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.788 * [backup-simplify]: Simplify (- 0) into 0 0.788 * [backup-simplify]: Simplify (+ 0 0) into 0 0.789 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 0.790 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.791 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 0.793 * [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 0.793 * [taylor]: Taking taylor expansion of 0 in k 0.793 * [backup-simplify]: Simplify 0 into 0 0.793 * [backup-simplify]: Simplify 0 into 0 0.794 * [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)))))) 0.794 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) 0.794 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 0.794 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 0.794 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 0.794 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 0.794 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 0.794 * [taylor]: Taking taylor expansion of 1/2 in k 0.794 * [backup-simplify]: Simplify 1/2 into 1/2 0.794 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 0.794 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.794 * [taylor]: Taking taylor expansion of k in k 0.794 * [backup-simplify]: Simplify 0 into 0 0.794 * [backup-simplify]: Simplify 1 into 1 0.795 * [backup-simplify]: Simplify (/ 1 1) into 1 0.795 * [taylor]: Taking taylor expansion of 1 in k 0.795 * [backup-simplify]: Simplify 1 into 1 0.795 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 0.795 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 0.795 * [taylor]: Taking taylor expansion of -2 in k 0.795 * [backup-simplify]: Simplify -2 into -2 0.795 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.795 * [taylor]: Taking taylor expansion of PI in k 0.795 * [backup-simplify]: Simplify PI into PI 0.795 * [taylor]: Taking taylor expansion of n in k 0.795 * [backup-simplify]: Simplify n into n 0.795 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 0.795 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 0.795 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 0.795 * [backup-simplify]: Simplify (+ 1 0) into 1 0.795 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.796 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 0.796 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 0.796 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 0.796 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 0.796 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 0.796 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 0.796 * [taylor]: Taking taylor expansion of 1/2 in n 0.796 * [backup-simplify]: Simplify 1/2 into 1/2 0.796 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 0.796 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.796 * [taylor]: Taking taylor expansion of k in n 0.796 * [backup-simplify]: Simplify k into k 0.796 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.796 * [taylor]: Taking taylor expansion of 1 in n 0.796 * [backup-simplify]: Simplify 1 into 1 0.796 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 0.796 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.796 * [taylor]: Taking taylor expansion of -2 in n 0.796 * [backup-simplify]: Simplify -2 into -2 0.796 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.796 * [taylor]: Taking taylor expansion of PI in n 0.796 * [backup-simplify]: Simplify PI into PI 0.796 * [taylor]: Taking taylor expansion of n in n 0.796 * [backup-simplify]: Simplify 0 into 0 0.796 * [backup-simplify]: Simplify 1 into 1 0.796 * [backup-simplify]: Simplify (/ PI 1) into PI 0.797 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.798 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 0.798 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 0.798 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 0.799 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.800 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 0.801 * [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))))) 0.802 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 0.802 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 0.802 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 0.802 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 0.802 * [taylor]: Taking taylor expansion of 1/2 in n 0.802 * [backup-simplify]: Simplify 1/2 into 1/2 0.802 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 0.802 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.802 * [taylor]: Taking taylor expansion of k in n 0.802 * [backup-simplify]: Simplify k into k 0.802 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.802 * [taylor]: Taking taylor expansion of 1 in n 0.802 * [backup-simplify]: Simplify 1 into 1 0.802 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 0.802 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.802 * [taylor]: Taking taylor expansion of -2 in n 0.802 * [backup-simplify]: Simplify -2 into -2 0.802 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.802 * [taylor]: Taking taylor expansion of PI in n 0.802 * [backup-simplify]: Simplify PI into PI 0.802 * [taylor]: Taking taylor expansion of n in n 0.802 * [backup-simplify]: Simplify 0 into 0 0.802 * [backup-simplify]: Simplify 1 into 1 0.803 * [backup-simplify]: Simplify (/ PI 1) into PI 0.803 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.804 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 0.804 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 0.805 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 0.809 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.810 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 0.812 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 0.813 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 0.813 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 0.813 * [taylor]: Taking taylor expansion of 1/2 in k 0.813 * [backup-simplify]: Simplify 1/2 into 1/2 0.813 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 0.813 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 0.813 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.813 * [taylor]: Taking taylor expansion of k in k 0.813 * [backup-simplify]: Simplify 0 into 0 0.813 * [backup-simplify]: Simplify 1 into 1 0.813 * [backup-simplify]: Simplify (/ 1 1) into 1 0.813 * [taylor]: Taking taylor expansion of 1 in k 0.813 * [backup-simplify]: Simplify 1 into 1 0.814 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 0.814 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 0.814 * [taylor]: Taking taylor expansion of (* -2 PI) in k 0.814 * [taylor]: Taking taylor expansion of -2 in k 0.814 * [backup-simplify]: Simplify -2 into -2 0.814 * [taylor]: Taking taylor expansion of PI in k 0.814 * [backup-simplify]: Simplify PI into PI 0.814 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.815 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 0.815 * [taylor]: Taking taylor expansion of (log n) in k 0.815 * [taylor]: Taking taylor expansion of n in k 0.815 * [backup-simplify]: Simplify n into n 0.815 * [backup-simplify]: Simplify (log n) into (log n) 0.816 * [backup-simplify]: Simplify (+ 1 0) into 1 0.816 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 0.817 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 0.818 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 0.819 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 0.820 * [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))))) 0.821 * [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))))) 0.822 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.823 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 0.825 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 0.825 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.825 * [backup-simplify]: Simplify (+ 0 0) into 0 0.826 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 0.828 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.829 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 0.831 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.831 * [taylor]: Taking taylor expansion of 0 in k 0.831 * [backup-simplify]: Simplify 0 into 0 0.831 * [backup-simplify]: Simplify 0 into 0 0.831 * [backup-simplify]: Simplify 0 into 0 0.832 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.833 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 0.836 * [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 0.837 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.837 * [backup-simplify]: Simplify (+ 0 0) into 0 0.838 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 0.839 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.841 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 0.843 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.843 * [taylor]: Taking taylor expansion of 0 in k 0.843 * [backup-simplify]: Simplify 0 into 0 0.843 * [backup-simplify]: Simplify 0 into 0 0.843 * [backup-simplify]: Simplify 0 into 0 0.843 * [backup-simplify]: Simplify 0 into 0 0.845 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.846 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.852 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 PI) 1)))) 6) into 0 0.852 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.852 * [backup-simplify]: Simplify (+ 0 0) into 0 0.854 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 0.855 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.857 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 0.860 * [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 0.860 * [taylor]: Taking taylor expansion of 0 in k 0.860 * [backup-simplify]: Simplify 0 into 0 0.860 * [backup-simplify]: Simplify 0 into 0 0.861 * [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)))))) 0.861 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.862 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI)) 0.862 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 0.862 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.862 * [taylor]: Taking taylor expansion of 2 in n 0.862 * [backup-simplify]: Simplify 2 into 2 0.862 * [taylor]: Taking taylor expansion of (* n PI) in n 0.862 * [taylor]: Taking taylor expansion of n in n 0.862 * [backup-simplify]: Simplify 0 into 0 0.862 * [backup-simplify]: Simplify 1 into 1 0.862 * [taylor]: Taking taylor expansion of PI in n 0.862 * [backup-simplify]: Simplify PI into PI 0.862 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.862 * [taylor]: Taking taylor expansion of 2 in n 0.862 * [backup-simplify]: Simplify 2 into 2 0.862 * [taylor]: Taking taylor expansion of (* n PI) in n 0.862 * [taylor]: Taking taylor expansion of n in n 0.862 * [backup-simplify]: Simplify 0 into 0 0.862 * [backup-simplify]: Simplify 1 into 1 0.862 * [taylor]: Taking taylor expansion of PI in n 0.862 * [backup-simplify]: Simplify PI into PI 0.863 * [backup-simplify]: Simplify (* 0 PI) into 0 0.863 * [backup-simplify]: Simplify (* 2 0) into 0 0.863 * [backup-simplify]: Simplify 0 into 0 0.865 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.866 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.867 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.868 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 0.869 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 0.869 * [backup-simplify]: Simplify 0 into 0 0.870 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 0.871 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 0.871 * [backup-simplify]: Simplify 0 into 0 0.873 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.874 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 0.874 * [backup-simplify]: Simplify 0 into 0 0.876 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 0.877 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 0.877 * [backup-simplify]: Simplify 0 into 0 0.879 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 0.881 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 0.881 * [backup-simplify]: Simplify 0 into 0 0.883 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 0.885 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 0.885 * [backup-simplify]: Simplify 0 into 0 0.885 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 0.886 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n)) 0.886 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 0.886 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.886 * [taylor]: Taking taylor expansion of 2 in n 0.886 * [backup-simplify]: Simplify 2 into 2 0.886 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.886 * [taylor]: Taking taylor expansion of PI in n 0.886 * [backup-simplify]: Simplify PI into PI 0.886 * [taylor]: Taking taylor expansion of n in n 0.886 * [backup-simplify]: Simplify 0 into 0 0.886 * [backup-simplify]: Simplify 1 into 1 0.887 * [backup-simplify]: Simplify (/ PI 1) into PI 0.887 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.887 * [taylor]: Taking taylor expansion of 2 in n 0.887 * [backup-simplify]: Simplify 2 into 2 0.887 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.887 * [taylor]: Taking taylor expansion of PI in n 0.887 * [backup-simplify]: Simplify PI into PI 0.887 * [taylor]: Taking taylor expansion of n in n 0.887 * [backup-simplify]: Simplify 0 into 0 0.887 * [backup-simplify]: Simplify 1 into 1 0.888 * [backup-simplify]: Simplify (/ PI 1) into PI 0.888 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.889 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.890 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.890 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 0.890 * [backup-simplify]: Simplify 0 into 0 0.891 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.892 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 0.893 * [backup-simplify]: Simplify 0 into 0 0.894 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.895 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.895 * [backup-simplify]: Simplify 0 into 0 0.896 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.897 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.897 * [backup-simplify]: Simplify 0 into 0 0.899 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.900 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 0.900 * [backup-simplify]: Simplify 0 into 0 0.901 * [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 0.903 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 0.903 * [backup-simplify]: Simplify 0 into 0 0.904 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 0.904 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n)) 0.904 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 0.904 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.904 * [taylor]: Taking taylor expansion of -2 in n 0.904 * [backup-simplify]: Simplify -2 into -2 0.904 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.904 * [taylor]: Taking taylor expansion of PI in n 0.904 * [backup-simplify]: Simplify PI into PI 0.904 * [taylor]: Taking taylor expansion of n in n 0.904 * [backup-simplify]: Simplify 0 into 0 0.904 * [backup-simplify]: Simplify 1 into 1 0.905 * [backup-simplify]: Simplify (/ PI 1) into PI 0.905 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.905 * [taylor]: Taking taylor expansion of -2 in n 0.905 * [backup-simplify]: Simplify -2 into -2 0.905 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.905 * [taylor]: Taking taylor expansion of PI in n 0.905 * [backup-simplify]: Simplify PI into PI 0.905 * [taylor]: Taking taylor expansion of n in n 0.905 * [backup-simplify]: Simplify 0 into 0 0.905 * [backup-simplify]: Simplify 1 into 1 0.906 * [backup-simplify]: Simplify (/ PI 1) into PI 0.906 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.907 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.907 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.908 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 0.908 * [backup-simplify]: Simplify 0 into 0 0.909 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.910 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 0.910 * [backup-simplify]: Simplify 0 into 0 0.910 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.911 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.911 * [backup-simplify]: Simplify 0 into 0 0.912 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.912 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.912 * [backup-simplify]: Simplify 0 into 0 0.913 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.914 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 0.914 * [backup-simplify]: Simplify 0 into 0 0.914 * [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 0.915 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 0.915 * [backup-simplify]: Simplify 0 into 0 0.916 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 0.916 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.916 * [backup-simplify]: Simplify (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) 0.916 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (n k) around 0 0.916 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 0.916 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 0.916 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 0.916 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 0.916 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 0.916 * [taylor]: Taking taylor expansion of 1/2 in k 0.916 * [backup-simplify]: Simplify 1/2 into 1/2 0.916 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.916 * [taylor]: Taking taylor expansion of 1 in k 0.916 * [backup-simplify]: Simplify 1 into 1 0.916 * [taylor]: Taking taylor expansion of k in k 0.916 * [backup-simplify]: Simplify 0 into 0 0.917 * [backup-simplify]: Simplify 1 into 1 0.917 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 0.917 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 0.917 * [taylor]: Taking taylor expansion of 2 in k 0.917 * [backup-simplify]: Simplify 2 into 2 0.917 * [taylor]: Taking taylor expansion of (* n PI) in k 0.917 * [taylor]: Taking taylor expansion of n in k 0.917 * [backup-simplify]: Simplify n into n 0.917 * [taylor]: Taking taylor expansion of PI in k 0.917 * [backup-simplify]: Simplify PI into PI 0.917 * [backup-simplify]: Simplify (* n PI) into (* n PI) 0.917 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 0.917 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 0.917 * [backup-simplify]: Simplify (- 0) into 0 0.917 * [backup-simplify]: Simplify (+ 1 0) into 1 0.918 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.918 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 0.918 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 0.918 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.918 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.918 * [taylor]: Taking taylor expansion of k in k 0.918 * [backup-simplify]: Simplify 0 into 0 0.918 * [backup-simplify]: Simplify 1 into 1 0.918 * [backup-simplify]: Simplify (/ 1 1) into 1 0.918 * [backup-simplify]: Simplify (sqrt 0) into 0 0.919 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.919 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 0.919 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.920 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.920 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.920 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.920 * [taylor]: Taking taylor expansion of 1/2 in n 0.920 * [backup-simplify]: Simplify 1/2 into 1/2 0.920 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.920 * [taylor]: Taking taylor expansion of 1 in n 0.920 * [backup-simplify]: Simplify 1 into 1 0.920 * [taylor]: Taking taylor expansion of k in n 0.920 * [backup-simplify]: Simplify k into k 0.920 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.920 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.920 * [taylor]: Taking taylor expansion of 2 in n 0.920 * [backup-simplify]: Simplify 2 into 2 0.920 * [taylor]: Taking taylor expansion of (* n PI) in n 0.920 * [taylor]: Taking taylor expansion of n in n 0.920 * [backup-simplify]: Simplify 0 into 0 0.920 * [backup-simplify]: Simplify 1 into 1 0.920 * [taylor]: Taking taylor expansion of PI in n 0.920 * [backup-simplify]: Simplify PI into PI 0.920 * [backup-simplify]: Simplify (* 0 PI) into 0 0.920 * [backup-simplify]: Simplify (* 2 0) into 0 0.921 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.922 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.923 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.923 * [backup-simplify]: Simplify (- k) into (- k) 0.923 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.923 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 0.924 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.925 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 0.926 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0.926 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.926 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.926 * [taylor]: Taking taylor expansion of k in n 0.926 * [backup-simplify]: Simplify k into k 0.926 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.926 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 0.927 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.927 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 0.927 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 0.927 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.927 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.927 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.927 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.927 * [taylor]: Taking taylor expansion of 1/2 in n 0.927 * [backup-simplify]: Simplify 1/2 into 1/2 0.927 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.927 * [taylor]: Taking taylor expansion of 1 in n 0.927 * [backup-simplify]: Simplify 1 into 1 0.927 * [taylor]: Taking taylor expansion of k in n 0.927 * [backup-simplify]: Simplify k into k 0.927 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.927 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.927 * [taylor]: Taking taylor expansion of 2 in n 0.927 * [backup-simplify]: Simplify 2 into 2 0.927 * [taylor]: Taking taylor expansion of (* n PI) in n 0.927 * [taylor]: Taking taylor expansion of n in n 0.927 * [backup-simplify]: Simplify 0 into 0 0.927 * [backup-simplify]: Simplify 1 into 1 0.927 * [taylor]: Taking taylor expansion of PI in n 0.927 * [backup-simplify]: Simplify PI into PI 0.928 * [backup-simplify]: Simplify (* 0 PI) into 0 0.928 * [backup-simplify]: Simplify (* 2 0) into 0 0.930 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.932 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.933 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.933 * [backup-simplify]: Simplify (- k) into (- k) 0.933 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.933 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 0.934 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.935 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 0.936 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0.936 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.936 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.936 * [taylor]: Taking taylor expansion of k in n 0.936 * [backup-simplify]: Simplify k into k 0.936 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.936 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 0.937 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.937 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 0.938 * [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))) 0.938 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) in k 0.938 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 0.938 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 0.938 * [taylor]: Taking taylor expansion of 1/2 in k 0.938 * [backup-simplify]: Simplify 1/2 into 1/2 0.938 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 0.938 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.938 * [taylor]: Taking taylor expansion of 1 in k 0.938 * [backup-simplify]: Simplify 1 into 1 0.938 * [taylor]: Taking taylor expansion of k in k 0.938 * [backup-simplify]: Simplify 0 into 0 0.939 * [backup-simplify]: Simplify 1 into 1 0.939 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 0.939 * [taylor]: Taking taylor expansion of (log n) in k 0.939 * [taylor]: Taking taylor expansion of n in k 0.939 * [backup-simplify]: Simplify n into n 0.939 * [backup-simplify]: Simplify (log n) into (log n) 0.939 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.939 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.939 * [taylor]: Taking taylor expansion of 2 in k 0.939 * [backup-simplify]: Simplify 2 into 2 0.939 * [taylor]: Taking taylor expansion of PI in k 0.939 * [backup-simplify]: Simplify PI into PI 0.939 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.940 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.941 * [backup-simplify]: Simplify (- 0) into 0 0.941 * [backup-simplify]: Simplify (+ 1 0) into 1 0.942 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.943 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 0.944 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 0.947 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0.947 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.947 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.947 * [taylor]: Taking taylor expansion of k in k 0.947 * [backup-simplify]: Simplify 0 into 0 0.947 * [backup-simplify]: Simplify 1 into 1 0.947 * [backup-simplify]: Simplify (/ 1 1) into 1 0.948 * [backup-simplify]: Simplify (sqrt 0) into 0 0.948 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.949 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 0.949 * [backup-simplify]: Simplify 0 into 0 0.950 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 0.950 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 0.951 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.951 * [backup-simplify]: Simplify (- 0) into 0 0.952 * [backup-simplify]: Simplify (+ 0 0) into 0 0.952 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 0.953 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.953 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 0.955 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.955 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (* 0 (sqrt (/ 1 k)))) into 0 0.955 * [taylor]: Taking taylor expansion of 0 in k 0.955 * [backup-simplify]: Simplify 0 into 0 0.956 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 0.956 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 0.957 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.957 * [backup-simplify]: Simplify (+ 0 0) into 0 0.958 * [backup-simplify]: Simplify (- 1) into -1 0.958 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.959 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 0.960 * [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))))) 0.962 * [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))))))) 0.964 * [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))))))) 0.965 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0.965 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.965 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 0.966 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 0.967 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 0.968 * [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 0.969 * [backup-simplify]: Simplify (- 0) into 0 0.969 * [backup-simplify]: Simplify (+ 0 0) into 0 0.969 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 0.970 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.971 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.972 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.973 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0 0.973 * [taylor]: Taking taylor expansion of 0 in k 0.973 * [backup-simplify]: Simplify 0 into 0 0.973 * [backup-simplify]: Simplify 0 into 0 0.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.976 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.977 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 0.977 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 0.979 * [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 0.979 * [backup-simplify]: Simplify (+ 0 0) into 0 0.979 * [backup-simplify]: Simplify (- 0) into 0 0.980 * [backup-simplify]: Simplify (+ 0 0) into 0 0.981 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.983 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.987 * [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))))) 0.997 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) +nan.0) (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) 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)))))))) 1.001 * [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)))))))) 1.002 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.003 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1.004 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1.006 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1.012 * [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 1.012 * [backup-simplify]: Simplify (- 0) into 0 1.013 * [backup-simplify]: Simplify (+ 0 0) into 0 1.014 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 k))))) into 0 1.016 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1.017 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1.020 * [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 1.022 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0 1.022 * [taylor]: Taking taylor expansion of 0 in k 1.022 * [backup-simplify]: Simplify 0 into 0 1.022 * [backup-simplify]: Simplify 0 into 0 1.022 * [backup-simplify]: Simplify 0 into 0 1.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.027 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.030 * [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 1.032 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.037 * [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 1.038 * [backup-simplify]: Simplify (+ 0 0) into 0 1.038 * [backup-simplify]: Simplify (- 0) into 0 1.038 * [backup-simplify]: Simplify (+ 0 0) into 0 1.040 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1.041 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1.045 * [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))))))) 1.057 * [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)))))))))))))) 1.064 * [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)))))))))))))) 1.075 * [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)))))))))))))))))))))) 1.075 * [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)) 1.075 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (n k) around 0 1.075 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 1.075 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 1.075 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1.076 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1.076 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 1.076 * [taylor]: Taking taylor expansion of 1/2 in k 1.076 * [backup-simplify]: Simplify 1/2 into 1/2 1.076 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 1.076 * [taylor]: Taking taylor expansion of 1 in k 1.076 * [backup-simplify]: Simplify 1 into 1 1.076 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.076 * [taylor]: Taking taylor expansion of k in k 1.076 * [backup-simplify]: Simplify 0 into 0 1.076 * [backup-simplify]: Simplify 1 into 1 1.076 * [backup-simplify]: Simplify (/ 1 1) into 1 1.076 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1.076 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 1.076 * [taylor]: Taking taylor expansion of 2 in k 1.076 * [backup-simplify]: Simplify 2 into 2 1.076 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.076 * [taylor]: Taking taylor expansion of PI in k 1.076 * [backup-simplify]: Simplify PI into PI 1.076 * [taylor]: Taking taylor expansion of n in k 1.076 * [backup-simplify]: Simplify n into n 1.076 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.076 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1.076 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1.076 * [backup-simplify]: Simplify (- 1) into -1 1.077 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.077 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 1.077 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1.077 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 1.077 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.077 * [taylor]: Taking taylor expansion of k in k 1.077 * [backup-simplify]: Simplify 0 into 0 1.077 * [backup-simplify]: Simplify 1 into 1 1.078 * [backup-simplify]: Simplify (sqrt 0) into 0 1.079 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.079 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 1.079 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 1.079 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1.079 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1.079 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 1.079 * [taylor]: Taking taylor expansion of 1/2 in n 1.079 * [backup-simplify]: Simplify 1/2 into 1/2 1.079 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 1.079 * [taylor]: Taking taylor expansion of 1 in n 1.079 * [backup-simplify]: Simplify 1 into 1 1.079 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.079 * [taylor]: Taking taylor expansion of k in n 1.079 * [backup-simplify]: Simplify k into k 1.079 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.079 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.079 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.079 * [taylor]: Taking taylor expansion of 2 in n 1.079 * [backup-simplify]: Simplify 2 into 2 1.079 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.079 * [taylor]: Taking taylor expansion of PI in n 1.079 * [backup-simplify]: Simplify PI into PI 1.079 * [taylor]: Taking taylor expansion of n in n 1.079 * [backup-simplify]: Simplify 0 into 0 1.079 * [backup-simplify]: Simplify 1 into 1 1.079 * [backup-simplify]: Simplify (/ PI 1) into PI 1.080 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.080 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.080 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.080 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1.080 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 1.081 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.082 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 1.083 * [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))))) 1.083 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.083 * [taylor]: Taking taylor expansion of k in n 1.083 * [backup-simplify]: Simplify k into k 1.083 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 1.083 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 1.083 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 1.083 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 1.083 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1.083 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1.083 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 1.083 * [taylor]: Taking taylor expansion of 1/2 in n 1.083 * [backup-simplify]: Simplify 1/2 into 1/2 1.083 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 1.083 * [taylor]: Taking taylor expansion of 1 in n 1.083 * [backup-simplify]: Simplify 1 into 1 1.083 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.083 * [taylor]: Taking taylor expansion of k in n 1.083 * [backup-simplify]: Simplify k into k 1.083 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.083 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.083 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.083 * [taylor]: Taking taylor expansion of 2 in n 1.083 * [backup-simplify]: Simplify 2 into 2 1.083 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.083 * [taylor]: Taking taylor expansion of PI in n 1.083 * [backup-simplify]: Simplify PI into PI 1.083 * [taylor]: Taking taylor expansion of n in n 1.083 * [backup-simplify]: Simplify 0 into 0 1.083 * [backup-simplify]: Simplify 1 into 1 1.083 * [backup-simplify]: Simplify (/ PI 1) into PI 1.084 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.084 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.084 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.084 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1.084 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 1.085 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.086 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 1.087 * [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))))) 1.087 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.087 * [taylor]: Taking taylor expansion of k in n 1.087 * [backup-simplify]: Simplify k into k 1.087 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 1.087 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 1.088 * [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)) 1.088 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) in k 1.088 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 1.088 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 1.088 * [taylor]: Taking taylor expansion of 1/2 in k 1.088 * [backup-simplify]: Simplify 1/2 into 1/2 1.088 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 1.088 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 1.088 * [taylor]: Taking taylor expansion of 1 in k 1.088 * [backup-simplify]: Simplify 1 into 1 1.088 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.088 * [taylor]: Taking taylor expansion of k in k 1.088 * [backup-simplify]: Simplify 0 into 0 1.088 * [backup-simplify]: Simplify 1 into 1 1.088 * [backup-simplify]: Simplify (/ 1 1) into 1 1.088 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1.088 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 1.088 * [taylor]: Taking taylor expansion of (* 2 PI) in k 1.088 * [taylor]: Taking taylor expansion of 2 in k 1.088 * [backup-simplify]: Simplify 2 into 2 1.088 * [taylor]: Taking taylor expansion of PI in k 1.088 * [backup-simplify]: Simplify PI into PI 1.088 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.089 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.089 * [taylor]: Taking taylor expansion of (log n) in k 1.089 * [taylor]: Taking taylor expansion of n in k 1.089 * [backup-simplify]: Simplify n into n 1.089 * [backup-simplify]: Simplify (log n) into (log n) 1.089 * [backup-simplify]: Simplify (- 1) into -1 1.090 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.090 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 1.090 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1.091 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 1.092 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1.093 * [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))))) 1.093 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.093 * [taylor]: Taking taylor expansion of k in k 1.093 * [backup-simplify]: Simplify 0 into 0 1.093 * [backup-simplify]: Simplify 1 into 1 1.093 * [backup-simplify]: Simplify (sqrt 0) into 0 1.094 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.094 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) into 0 1.094 * [backup-simplify]: Simplify 0 into 0 1.095 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.095 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 1.096 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1.097 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.097 * [backup-simplify]: Simplify (- 0) into 0 1.097 * [backup-simplify]: Simplify (+ 0 0) into 0 1.097 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 1.098 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.099 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1.100 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.101 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (* 0 (sqrt k))) into 0 1.101 * [taylor]: Taking taylor expansion of 0 in k 1.101 * [backup-simplify]: Simplify 0 into 0 1.101 * [backup-simplify]: Simplify 0 into 0 1.102 * [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))))))) 1.103 * [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))))))) 1.103 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1.104 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.104 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1.106 * [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 1.106 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.107 * [backup-simplify]: Simplify (- 0) into 0 1.107 * [backup-simplify]: Simplify (+ 0 0) into 0 1.107 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 1.108 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.109 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1.110 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.111 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0 1.111 * [taylor]: Taking taylor expansion of 0 in k 1.112 * [backup-simplify]: Simplify 0 into 0 1.112 * [backup-simplify]: Simplify 0 into 0 1.112 * [backup-simplify]: Simplify 0 into 0 1.113 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.115 * [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))))))) 1.115 * [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 (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1.116 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.117 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.120 * [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 1.120 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.121 * [backup-simplify]: Simplify (- 0) into 0 1.121 * [backup-simplify]: Simplify (+ 0 0) into 0 1.122 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 1.123 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.124 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1.125 * [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 1.126 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0 1.126 * [taylor]: Taking taylor expansion of 0 in k 1.126 * [backup-simplify]: Simplify 0 into 0 1.126 * [backup-simplify]: Simplify 0 into 0 1.126 * [backup-simplify]: Simplify 0 into 0 1.127 * [backup-simplify]: Simplify 0 into 0 1.129 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.131 * [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))))))) 1.132 * [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))))))) 1.136 * [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)))))))) 1.137 * [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))) 1.137 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (n k) around 0 1.137 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 1.137 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 1.137 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 1.137 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 1.137 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 1.137 * [taylor]: Taking taylor expansion of 1/2 in k 1.137 * [backup-simplify]: Simplify 1/2 into 1/2 1.137 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 1.137 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.137 * [taylor]: Taking taylor expansion of k in k 1.137 * [backup-simplify]: Simplify 0 into 0 1.137 * [backup-simplify]: Simplify 1 into 1 1.140 * [backup-simplify]: Simplify (/ 1 1) into 1 1.140 * [taylor]: Taking taylor expansion of 1 in k 1.140 * [backup-simplify]: Simplify 1 into 1 1.140 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1.140 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 1.140 * [taylor]: Taking taylor expansion of -2 in k 1.140 * [backup-simplify]: Simplify -2 into -2 1.140 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.140 * [taylor]: Taking taylor expansion of PI in k 1.141 * [backup-simplify]: Simplify PI into PI 1.141 * [taylor]: Taking taylor expansion of n in k 1.141 * [backup-simplify]: Simplify n into n 1.141 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.141 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1.141 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1.142 * [backup-simplify]: Simplify (+ 1 0) into 1 1.142 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.142 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1.142 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 1.142 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.143 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.143 * [taylor]: Taking taylor expansion of -1 in k 1.143 * [backup-simplify]: Simplify -1 into -1 1.143 * [taylor]: Taking taylor expansion of k in k 1.143 * [backup-simplify]: Simplify 0 into 0 1.143 * [backup-simplify]: Simplify 1 into 1 1.143 * [backup-simplify]: Simplify (/ -1 1) into -1 1.143 * [backup-simplify]: Simplify (sqrt 0) into 0 1.145 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.145 * [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))))) 1.145 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 1.145 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 1.145 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 1.145 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 1.145 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 1.145 * [taylor]: Taking taylor expansion of 1/2 in n 1.145 * [backup-simplify]: Simplify 1/2 into 1/2 1.145 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 1.145 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.145 * [taylor]: Taking taylor expansion of k in n 1.145 * [backup-simplify]: Simplify k into k 1.145 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.146 * [taylor]: Taking taylor expansion of 1 in n 1.146 * [backup-simplify]: Simplify 1 into 1 1.146 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.146 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.146 * [taylor]: Taking taylor expansion of -2 in n 1.146 * [backup-simplify]: Simplify -2 into -2 1.146 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.146 * [taylor]: Taking taylor expansion of PI in n 1.146 * [backup-simplify]: Simplify PI into PI 1.146 * [taylor]: Taking taylor expansion of n in n 1.146 * [backup-simplify]: Simplify 0 into 0 1.146 * [backup-simplify]: Simplify 1 into 1 1.146 * [backup-simplify]: Simplify (/ PI 1) into PI 1.147 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.148 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.148 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1.148 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 1.149 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.150 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 1.151 * [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))))) 1.151 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.151 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.151 * [taylor]: Taking taylor expansion of -1 in n 1.151 * [backup-simplify]: Simplify -1 into -1 1.151 * [taylor]: Taking taylor expansion of k in n 1.151 * [backup-simplify]: Simplify k into k 1.151 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 1.151 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1.151 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1.151 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1.152 * [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))) 1.152 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 1.152 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 1.152 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 1.152 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 1.152 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 1.152 * [taylor]: Taking taylor expansion of 1/2 in n 1.152 * [backup-simplify]: Simplify 1/2 into 1/2 1.152 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 1.152 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.152 * [taylor]: Taking taylor expansion of k in n 1.152 * [backup-simplify]: Simplify k into k 1.152 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.152 * [taylor]: Taking taylor expansion of 1 in n 1.152 * [backup-simplify]: Simplify 1 into 1 1.152 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.152 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.152 * [taylor]: Taking taylor expansion of -2 in n 1.152 * [backup-simplify]: Simplify -2 into -2 1.152 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.152 * [taylor]: Taking taylor expansion of PI in n 1.152 * [backup-simplify]: Simplify PI into PI 1.152 * [taylor]: Taking taylor expansion of n in n 1.152 * [backup-simplify]: Simplify 0 into 0 1.152 * [backup-simplify]: Simplify 1 into 1 1.152 * [backup-simplify]: Simplify (/ PI 1) into PI 1.153 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.153 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.153 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1.153 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 1.154 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.155 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 1.156 * [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))))) 1.156 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.156 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.156 * [taylor]: Taking taylor expansion of -1 in n 1.156 * [backup-simplify]: Simplify -1 into -1 1.156 * [taylor]: Taking taylor expansion of k in n 1.156 * [backup-simplify]: Simplify k into k 1.156 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 1.156 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1.156 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1.156 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1.157 * [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))) 1.157 * [taylor]: Taking taylor expansion of (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) in k 1.157 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 1.157 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 1.157 * [taylor]: Taking taylor expansion of 1/2 in k 1.157 * [backup-simplify]: Simplify 1/2 into 1/2 1.157 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 1.157 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 1.157 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.157 * [taylor]: Taking taylor expansion of k in k 1.157 * [backup-simplify]: Simplify 0 into 0 1.157 * [backup-simplify]: Simplify 1 into 1 1.157 * [backup-simplify]: Simplify (/ 1 1) into 1 1.157 * [taylor]: Taking taylor expansion of 1 in k 1.157 * [backup-simplify]: Simplify 1 into 1 1.157 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1.157 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 1.157 * [taylor]: Taking taylor expansion of (* -2 PI) in k 1.157 * [taylor]: Taking taylor expansion of -2 in k 1.157 * [backup-simplify]: Simplify -2 into -2 1.157 * [taylor]: Taking taylor expansion of PI in k 1.157 * [backup-simplify]: Simplify PI into PI 1.158 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.158 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.158 * [taylor]: Taking taylor expansion of (log n) in k 1.158 * [taylor]: Taking taylor expansion of n in k 1.158 * [backup-simplify]: Simplify n into n 1.158 * [backup-simplify]: Simplify (log n) into (log n) 1.159 * [backup-simplify]: Simplify (+ 1 0) into 1 1.159 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 1.159 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1.160 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 1.160 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1.161 * [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))))) 1.161 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.161 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.161 * [taylor]: Taking taylor expansion of -1 in k 1.161 * [backup-simplify]: Simplify -1 into -1 1.161 * [taylor]: Taking taylor expansion of k in k 1.161 * [backup-simplify]: Simplify 0 into 0 1.161 * [backup-simplify]: Simplify 1 into 1 1.162 * [backup-simplify]: Simplify (/ -1 1) into -1 1.162 * [backup-simplify]: Simplify (sqrt 0) into 0 1.163 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.163 * [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)))))) 1.164 * [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)))))) 1.165 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.166 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 1.166 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1.167 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.167 * [backup-simplify]: Simplify (+ 0 0) into 0 1.167 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 1.168 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.169 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1.170 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.171 * [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 1.171 * [taylor]: Taking taylor expansion of 0 in k 1.171 * [backup-simplify]: Simplify 0 into 0 1.171 * [backup-simplify]: Simplify 0 into 0 1.171 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.173 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.174 * [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))))))) 1.175 * [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))))))) 1.176 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.176 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1.178 * [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 1.178 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.179 * [backup-simplify]: Simplify (+ 0 0) into 0 1.179 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 1.180 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.181 * [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 1.182 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.183 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1.184 * [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 1.184 * [taylor]: Taking taylor expansion of 0 in k 1.184 * [backup-simplify]: Simplify 0 into 0 1.184 * [backup-simplify]: Simplify 0 into 0 1.184 * [backup-simplify]: Simplify 0 into 0 1.185 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.187 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.190 * [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))))))) 1.191 * [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))))))) 1.195 * [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)))))))))))) 1.195 * * * [progress]: simplifying candidates 1.195 * * * * [progress]: [ 1 / 133 ] simplifiying candidate # 1.195 * * * * [progress]: [ 2 / 133 ] simplifiying candidate # 1.195 * * * * [progress]: [ 3 / 133 ] simplifiying candidate # 1.196 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) 1.196 * * [simplify]: iters left: 6 (13 enodes) 1.204 * * [simplify]: iters left: 5 (54 enodes) 1.224 * * [simplify]: iters left: 4 (97 enodes) 1.260 * * [simplify]: iters left: 3 (252 enodes) 1.391 * * [simplify]: Extracting #0: cost 1 inf + 0 1.391 * * [simplify]: Extracting #1: cost 38 inf + 0 1.392 * * [simplify]: Extracting #2: cost 133 inf + 73 1.393 * * [simplify]: Extracting #3: cost 162 inf + 1645 1.399 * * [simplify]: Extracting #4: cost 64 inf + 21597 1.414 * * [simplify]: Extracting #5: cost 2 inf + 40621 1.431 * * [simplify]: Extracting #6: cost 0 inf + 41489 1.447 * [simplify]: Simplified to (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2) 1.447 * [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))) 1.447 * * * * [progress]: [ 4 / 133 ] simplifiying candidate # 1.448 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) 1.448 * * [simplify]: iters left: 6 (12 enodes) 1.455 * * [simplify]: iters left: 5 (52 enodes) 1.469 * * [simplify]: iters left: 4 (90 enodes) 1.490 * * [simplify]: iters left: 3 (209 enodes) 1.568 * * [simplify]: Extracting #0: cost 1 inf + 0 1.568 * * [simplify]: Extracting #1: cost 33 inf + 0 1.569 * * [simplify]: Extracting #2: cost 117 inf + 73 1.569 * * [simplify]: Extracting #3: cost 141 inf + 1307 1.571 * * [simplify]: Extracting #4: cost 79 inf + 11364 1.575 * * [simplify]: Extracting #5: cost 30 inf + 22914 1.582 * * [simplify]: Extracting #6: cost 0 inf + 32222 1.589 * * [simplify]: Extracting #7: cost 0 inf + 32142 1.596 * [simplify]: Simplified to (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) 1.596 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2)) (sqrt k))) 1.596 * * * * [progress]: [ 5 / 133 ] simplifiying candidate # 1.596 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) 1.596 * * [simplify]: iters left: 6 (11 enodes) 1.600 * * [simplify]: iters left: 5 (51 enodes) 1.609 * * [simplify]: iters left: 4 (97 enodes) 1.628 * * [simplify]: iters left: 3 (203 enodes) 1.700 * * [simplify]: Extracting #0: cost 1 inf + 0 1.700 * * [simplify]: Extracting #1: cost 35 inf + 0 1.701 * * [simplify]: Extracting #2: cost 119 inf + 2 1.702 * * [simplify]: Extracting #3: cost 150 inf + 702 1.704 * * [simplify]: Extracting #4: cost 96 inf + 7237 1.711 * * [simplify]: Extracting #5: cost 29 inf + 21171 1.722 * * [simplify]: Extracting #6: cost 6 inf + 26771 1.734 * * [simplify]: Extracting #7: cost 0 inf + 28612 1.750 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) 1.750 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) (sqrt k))) 1.750 * * * * [progress]: [ 6 / 133 ] simplifiying candidate # 1.750 * * * * [progress]: [ 7 / 133 ] simplifiying candidate # 1.750 * [simplify]: Simplifying (* n (* 2 PI)) 1.750 * * [simplify]: iters left: 4 (5 enodes) 1.753 * * [simplify]: iters left: 3 (19 enodes) 1.759 * * [simplify]: iters left: 2 (27 enodes) 1.767 * * [simplify]: iters left: 1 (32 enodes) 1.776 * * [simplify]: Extracting #0: cost 1 inf + 0 1.776 * * [simplify]: Extracting #1: cost 8 inf + 0 1.776 * * [simplify]: Extracting #2: cost 7 inf + 45 1.776 * * [simplify]: Extracting #3: cost 0 inf + 421 1.777 * [simplify]: Simplified to (* (* PI 2) n) 1.777 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (sqrt k))) 1.777 * * * * [progress]: [ 8 / 133 ] simplifiying candidate # 1.777 * [simplify]: Simplifying (* n (* 2 PI)) 1.777 * * [simplify]: iters left: 4 (5 enodes) 1.781 * * [simplify]: iters left: 3 (19 enodes) 1.787 * * [simplify]: iters left: 2 (27 enodes) 1.797 * * [simplify]: iters left: 1 (32 enodes) 1.805 * * [simplify]: Extracting #0: cost 1 inf + 0 1.805 * * [simplify]: Extracting #1: cost 8 inf + 0 1.806 * * [simplify]: Extracting #2: cost 7 inf + 45 1.806 * * [simplify]: Extracting #3: cost 0 inf + 421 1.806 * [simplify]: Simplified to (* (* PI 2) n) 1.806 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (sqrt k))) 1.806 * * * * [progress]: [ 9 / 133 ] simplifiying candidate # 1.806 * [simplify]: Simplifying (* n (* 2 PI)) 1.806 * * [simplify]: iters left: 4 (5 enodes) 1.808 * * [simplify]: iters left: 3 (19 enodes) 1.811 * * [simplify]: iters left: 2 (27 enodes) 1.815 * * [simplify]: iters left: 1 (32 enodes) 1.820 * * [simplify]: Extracting #0: cost 1 inf + 0 1.820 * * [simplify]: Extracting #1: cost 8 inf + 0 1.820 * * [simplify]: Extracting #2: cost 7 inf + 45 1.820 * * [simplify]: Extracting #3: cost 0 inf + 421 1.820 * [simplify]: Simplified to (* (* PI 2) n) 1.820 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (sqrt k))) 1.820 * * * * [progress]: [ 10 / 133 ] simplifiying candidate # 1.820 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ k 2)) 1.821 * * [simplify]: iters left: 5 (8 enodes) 1.823 * * [simplify]: iters left: 4 (31 enodes) 1.828 * * [simplify]: iters left: 3 (51 enodes) 1.841 * * [simplify]: iters left: 2 (85 enodes) 1.870 * * [simplify]: iters left: 1 (152 enodes) 1.924 * * [simplify]: Extracting #0: cost 1 inf + 0 1.924 * * [simplify]: Extracting #1: cost 13 inf + 0 1.924 * * [simplify]: Extracting #2: cost 59 inf + 1 1.924 * * [simplify]: Extracting #3: cost 76 inf + 9 1.925 * * [simplify]: Extracting #4: cost 41 inf + 3303 1.927 * * [simplify]: Extracting #5: cost 16 inf + 10676 1.929 * * [simplify]: Extracting #6: cost 0 inf + 21028 1.932 * * [simplify]: Extracting #7: cost 0 inf + 20456 1.934 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 1.935 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt k))) 1.935 * * * * [progress]: [ 11 / 133 ] simplifiying candidate # 1.935 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2)) 1.935 * * [simplify]: iters left: 5 (6 enodes) 1.938 * * [simplify]: iters left: 4 (26 enodes) 1.946 * * [simplify]: iters left: 3 (35 enodes) 1.956 * * [simplify]: iters left: 2 (37 enodes) 1.963 * * [simplify]: iters left: 1 (41 enodes) 1.969 * * [simplify]: Extracting #0: cost 1 inf + 0 1.969 * * [simplify]: Extracting #1: cost 3 inf + 0 1.969 * * [simplify]: Extracting #2: cost 9 inf + 0 1.969 * * [simplify]: Extracting #3: cost 13 inf + 2 1.969 * * [simplify]: Extracting #4: cost 10 inf + 87 1.969 * * [simplify]: Extracting #5: cost 3 inf + 582 1.970 * * [simplify]: Extracting #6: cost 0 inf + 910 1.970 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2)) 1.970 * [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))) 1.970 * * * * [progress]: [ 12 / 133 ] simplifiying candidate # 1.970 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2)) 1.970 * * [simplify]: iters left: 5 (6 enodes) 1.972 * * [simplify]: iters left: 4 (26 enodes) 1.978 * * [simplify]: iters left: 3 (35 enodes) 1.984 * * [simplify]: iters left: 2 (37 enodes) 1.991 * * [simplify]: iters left: 1 (41 enodes) 2.001 * * [simplify]: Extracting #0: cost 1 inf + 0 2.002 * * [simplify]: Extracting #1: cost 3 inf + 0 2.002 * * [simplify]: Extracting #2: cost 9 inf + 0 2.002 * * [simplify]: Extracting #3: cost 13 inf + 2 2.002 * * [simplify]: Extracting #4: cost 10 inf + 87 2.002 * * [simplify]: Extracting #5: cost 3 inf + 542 2.002 * * [simplify]: Extracting #6: cost 0 inf + 830 2.003 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2)) 2.003 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))) (sqrt k))) 2.003 * * * * [progress]: [ 13 / 133 ] simplifiying candidate # 2.003 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2)) 2.003 * * [simplify]: iters left: 5 (7 enodes) 2.007 * * [simplify]: iters left: 4 (25 enodes) 2.016 * * [simplify]: iters left: 3 (30 enodes) 2.025 * * [simplify]: Extracting #0: cost 1 inf + 0 2.025 * * [simplify]: Extracting #1: cost 4 inf + 0 2.025 * * [simplify]: Extracting #2: cost 8 inf + 0 2.026 * * [simplify]: Extracting #3: cost 10 inf + 82 2.026 * * [simplify]: Extracting #4: cost 7 inf + 206 2.026 * * [simplify]: Extracting #5: cost 2 inf + 575 2.026 * * [simplify]: Extracting #6: cost 1 inf + 818 2.026 * * [simplify]: Extracting #7: cost 0 inf + 1061 2.027 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2)) 2.027 * [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))) 2.027 * * * * [progress]: [ 14 / 133 ] simplifiying candidate # 2.027 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2)) 2.027 * * [simplify]: iters left: 5 (7 enodes) 2.032 * * [simplify]: iters left: 4 (25 enodes) 2.040 * * [simplify]: iters left: 3 (30 enodes) 2.049 * * [simplify]: Extracting #0: cost 1 inf + 0 2.049 * * [simplify]: Extracting #1: cost 4 inf + 0 2.049 * * [simplify]: Extracting #2: cost 8 inf + 0 2.050 * * [simplify]: Extracting #3: cost 10 inf + 42 2.050 * * [simplify]: Extracting #4: cost 7 inf + 126 2.050 * * [simplify]: Extracting #5: cost 2 inf + 495 2.050 * * [simplify]: Extracting #6: cost 1 inf + 698 2.050 * * [simplify]: Extracting #7: cost 0 inf + 901 2.051 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2)) 2.051 * [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))) 2.051 * * * * [progress]: [ 15 / 133 ] simplifiying candidate # 2.051 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2) 2.051 * * [simplify]: iters left: 5 (6 enodes) 2.054 * * [simplify]: iters left: 4 (22 enodes) 2.058 * * [simplify]: iters left: 3 (27 enodes) 2.062 * * [simplify]: Extracting #0: cost 1 inf + 0 2.062 * * [simplify]: Extracting #1: cost 4 inf + 0 2.062 * * [simplify]: Extracting #2: cost 5 inf + 1 2.062 * * [simplify]: Extracting #3: cost 9 inf + 1 2.062 * * [simplify]: Extracting #4: cost 8 inf + 3 2.063 * * [simplify]: Extracting #5: cost 4 inf + 169 2.063 * * [simplify]: Extracting #6: cost 1 inf + 576 2.063 * * [simplify]: Extracting #7: cost 0 inf + 739 2.063 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 2.063 * [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))) 2.063 * * * * [progress]: [ 16 / 133 ] simplifiying candidate # 2.063 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2)) 2.064 * * [simplify]: iters left: 5 (7 enodes) 2.066 * * [simplify]: iters left: 4 (25 enodes) 2.070 * * [simplify]: iters left: 3 (30 enodes) 2.076 * * [simplify]: Extracting #0: cost 1 inf + 0 2.076 * * [simplify]: Extracting #1: cost 4 inf + 0 2.076 * * [simplify]: Extracting #2: cost 8 inf + 0 2.076 * * [simplify]: Extracting #3: cost 10 inf + 82 2.076 * * [simplify]: Extracting #4: cost 7 inf + 206 2.076 * * [simplify]: Extracting #5: cost 2 inf + 495 2.076 * * [simplify]: Extracting #6: cost 1 inf + 698 2.076 * * [simplify]: Extracting #7: cost 0 inf + 901 2.076 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2)) 2.076 * [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))) 2.076 * * * * [progress]: [ 17 / 133 ] simplifiying candidate # 2.077 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2)) 2.077 * * [simplify]: iters left: 5 (7 enodes) 2.079 * * [simplify]: iters left: 4 (25 enodes) 2.085 * * [simplify]: iters left: 3 (30 enodes) 2.095 * * [simplify]: Extracting #0: cost 1 inf + 0 2.095 * * [simplify]: Extracting #1: cost 4 inf + 0 2.095 * * [simplify]: Extracting #2: cost 8 inf + 0 2.095 * * [simplify]: Extracting #3: cost 10 inf + 42 2.095 * * [simplify]: Extracting #4: cost 7 inf + 126 2.096 * * [simplify]: Extracting #5: cost 2 inf + 415 2.096 * * [simplify]: Extracting #6: cost 1 inf + 578 2.096 * * [simplify]: Extracting #7: cost 0 inf + 741 2.097 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2)) 2.097 * [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))) 2.097 * * * * [progress]: [ 18 / 133 ] simplifiying candidate # 2.097 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2) 2.097 * * [simplify]: iters left: 5 (6 enodes) 2.101 * * [simplify]: iters left: 4 (22 enodes) 2.108 * * [simplify]: iters left: 3 (27 enodes) 2.119 * * [simplify]: Extracting #0: cost 1 inf + 0 2.119 * * [simplify]: Extracting #1: cost 4 inf + 0 2.120 * * [simplify]: Extracting #2: cost 5 inf + 1 2.120 * * [simplify]: Extracting #3: cost 9 inf + 1 2.120 * * [simplify]: Extracting #4: cost 8 inf + 3 2.120 * * [simplify]: Extracting #5: cost 4 inf + 169 2.120 * * [simplify]: Extracting #6: cost 1 inf + 456 2.120 * * [simplify]: Extracting #7: cost 0 inf + 579 2.121 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 2.121 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)) (sqrt k))) 2.121 * * * * [progress]: [ 19 / 133 ] simplifiying candidate # 2.121 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 2.121 * * [simplify]: iters left: 4 (6 enodes) 2.125 * * [simplify]: iters left: 3 (25 enodes) 2.134 * * [simplify]: iters left: 2 (36 enodes) 2.146 * * [simplify]: iters left: 1 (40 enodes) 2.158 * * [simplify]: Extracting #0: cost 1 inf + 0 2.158 * * [simplify]: Extracting #1: cost 7 inf + 0 2.158 * * [simplify]: Extracting #2: cost 16 inf + 0 2.158 * * [simplify]: Extracting #3: cost 13 inf + 44 2.158 * * [simplify]: Extracting #4: cost 3 inf + 1103 2.159 * * [simplify]: Extracting #5: cost 0 inf + 1469 2.159 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 2.159 * [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))) 2.159 * * * * [progress]: [ 20 / 133 ] simplifiying candidate # 2.159 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 2.159 * * [simplify]: iters left: 4 (6 enodes) 2.162 * * [simplify]: iters left: 3 (25 enodes) 2.167 * * [simplify]: iters left: 2 (36 enodes) 2.173 * * [simplify]: iters left: 1 (40 enodes) 2.180 * * [simplify]: Extracting #0: cost 1 inf + 0 2.180 * * [simplify]: Extracting #1: cost 7 inf + 0 2.180 * * [simplify]: Extracting #2: cost 16 inf + 0 2.180 * * [simplify]: Extracting #3: cost 13 inf + 44 2.180 * * [simplify]: Extracting #4: cost 3 inf + 823 2.181 * * [simplify]: Extracting #5: cost 0 inf + 1069 2.181 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 2.181 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt k))) 2.181 * * * * [progress]: [ 21 / 133 ] simplifiying candidate # 2.182 * [simplify]: Simplifying (/ (- 1 k) 2) 2.182 * * [simplify]: iters left: 4 (5 enodes) 2.184 * * [simplify]: iters left: 3 (23 enodes) 2.191 * * [simplify]: iters left: 2 (32 enodes) 2.201 * * [simplify]: iters left: 1 (34 enodes) 2.212 * * [simplify]: Extracting #0: cost 1 inf + 0 2.212 * * [simplify]: Extracting #1: cost 7 inf + 0 2.212 * * [simplify]: Extracting #2: cost 11 inf + 2 2.212 * * [simplify]: Extracting #3: cost 10 inf + 4 2.212 * * [simplify]: Extracting #4: cost 4 inf + 337 2.212 * * [simplify]: Extracting #5: cost 0 inf + 584 2.213 * [simplify]: Simplified to (/ (- 1 k) 2) 2.213 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (sqrt k))) 2.213 * * * * [progress]: [ 22 / 133 ] simplifiying candidate # 2.213 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2.213 * * [simplify]: iters left: 5 (8 enodes) 2.218 * * [simplify]: iters left: 4 (31 enodes) 2.228 * * [simplify]: iters left: 3 (45 enodes) 2.241 * * [simplify]: iters left: 2 (52 enodes) 2.258 * * [simplify]: iters left: 1 (53 enodes) 2.271 * * [simplify]: Extracting #0: cost 1 inf + 0 2.271 * * [simplify]: Extracting #1: cost 8 inf + 0 2.271 * * [simplify]: Extracting #2: cost 18 inf + 0 2.271 * * [simplify]: Extracting #3: cost 19 inf + 2 2.271 * * [simplify]: Extracting #4: cost 9 inf + 977 2.272 * * [simplify]: Extracting #5: cost 2 inf + 1790 2.272 * * [simplify]: Extracting #6: cost 0 inf + 2195 2.272 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 2.272 * [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))) 2.272 * * * * [progress]: [ 23 / 133 ] simplifiying candidate # 2.273 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2.273 * * [simplify]: iters left: 5 (8 enodes) 2.275 * * [simplify]: iters left: 4 (31 enodes) 2.281 * * [simplify]: iters left: 3 (45 enodes) 2.288 * * [simplify]: iters left: 2 (52 enodes) 2.295 * * [simplify]: iters left: 1 (53 enodes) 2.307 * * [simplify]: Extracting #0: cost 1 inf + 0 2.307 * * [simplify]: Extracting #1: cost 8 inf + 0 2.307 * * [simplify]: Extracting #2: cost 18 inf + 0 2.308 * * [simplify]: Extracting #3: cost 19 inf + 2 2.308 * * [simplify]: Extracting #4: cost 9 inf + 697 2.308 * * [simplify]: Extracting #5: cost 2 inf + 1390 2.309 * * [simplify]: Extracting #6: cost 0 inf + 1715 2.310 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 2.310 * [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))) 2.310 * * * * [progress]: [ 24 / 133 ] simplifiying candidate # 2.310 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 2.310 * * [simplify]: iters left: 5 (7 enodes) 2.315 * * [simplify]: iters left: 4 (29 enodes) 2.325 * * [simplify]: iters left: 3 (43 enodes) 2.333 * * [simplify]: iters left: 2 (48 enodes) 2.340 * * [simplify]: Extracting #0: cost 1 inf + 0 2.340 * * [simplify]: Extracting #1: cost 7 inf + 0 2.340 * * [simplify]: Extracting #2: cost 11 inf + 2 2.340 * * [simplify]: Extracting #3: cost 13 inf + 3 2.340 * * [simplify]: Extracting #4: cost 11 inf + 45 2.340 * * [simplify]: Extracting #5: cost 0 inf + 1066 2.340 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 2.341 * [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))) 2.341 * * * * [progress]: [ 25 / 133 ] simplifiying candidate # 2.341 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 2.341 * * [simplify]: iters left: 5 (7 enodes) 2.343 * * [simplify]: iters left: 4 (28 enodes) 2.349 * * [simplify]: iters left: 3 (39 enodes) 2.356 * * [simplify]: iters left: 2 (43 enodes) 2.373 * * [simplify]: Extracting #0: cost 1 inf + 0 2.373 * * [simplify]: Extracting #1: cost 7 inf + 0 2.373 * * [simplify]: Extracting #2: cost 16 inf + 0 2.373 * * [simplify]: Extracting #3: cost 15 inf + 164 2.373 * * [simplify]: Extracting #4: cost 13 inf + 287 2.374 * * [simplify]: Extracting #5: cost 5 inf + 1180 2.374 * * [simplify]: Extracting #6: cost 0 inf + 1951 2.375 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 2.375 * [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))) 2.375 * * * * [progress]: [ 26 / 133 ] simplifiying candidate # 2.375 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 2.375 * * [simplify]: iters left: 5 (7 enodes) 2.380 * * [simplify]: iters left: 4 (28 enodes) 2.389 * * [simplify]: iters left: 3 (39 enodes) 2.397 * * [simplify]: iters left: 2 (43 enodes) 2.404 * * [simplify]: Extracting #0: cost 1 inf + 0 2.404 * * [simplify]: Extracting #1: cost 7 inf + 0 2.404 * * [simplify]: Extracting #2: cost 16 inf + 0 2.404 * * [simplify]: Extracting #3: cost 15 inf + 84 2.404 * * [simplify]: Extracting #4: cost 13 inf + 167 2.405 * * [simplify]: Extracting #5: cost 5 inf + 900 2.405 * * [simplify]: Extracting #6: cost 0 inf + 1551 2.405 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 2.405 * [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))) 2.405 * * * * [progress]: [ 27 / 133 ] simplifiying candidate # 2.406 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 2.406 * * [simplify]: iters left: 5 (6 enodes) 2.408 * * [simplify]: iters left: 4 (26 enodes) 2.412 * * [simplify]: iters left: 3 (35 enodes) 2.418 * * [simplify]: iters left: 2 (37 enodes) 2.425 * * [simplify]: iters left: 1 (41 enodes) 2.437 * * [simplify]: Extracting #0: cost 1 inf + 0 2.437 * * [simplify]: Extracting #1: cost 7 inf + 0 2.437 * * [simplify]: Extracting #2: cost 11 inf + 2 2.437 * * [simplify]: Extracting #3: cost 13 inf + 3 2.438 * * [simplify]: Extracting #4: cost 12 inf + 4 2.438 * * [simplify]: Extracting #5: cost 6 inf + 412 2.438 * * [simplify]: Extracting #6: cost 2 inf + 821 2.438 * * [simplify]: Extracting #7: cost 0 inf + 1066 2.439 * [simplify]: Simplified to (- 1/2 (/ (sqrt k) 2)) 2.439 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (- 1/2 (/ (sqrt k) 2))) (sqrt k))) 2.439 * * * * [progress]: [ 28 / 133 ] simplifiying candidate # 2.439 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 2.440 * * [simplify]: iters left: 4 (6 enodes) 2.444 * * [simplify]: iters left: 3 (25 enodes) 2.453 * * [simplify]: iters left: 2 (36 enodes) 2.464 * * [simplify]: iters left: 1 (40 enodes) 2.476 * * [simplify]: Extracting #0: cost 1 inf + 0 2.476 * * [simplify]: Extracting #1: cost 7 inf + 0 2.476 * * [simplify]: Extracting #2: cost 16 inf + 0 2.477 * * [simplify]: Extracting #3: cost 13 inf + 44 2.477 * * [simplify]: Extracting #4: cost 3 inf + 1103 2.477 * * [simplify]: Extracting #5: cost 0 inf + 1469 2.478 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 2.478 * [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))) 2.478 * * * * [progress]: [ 29 / 133 ] simplifiying candidate # 2.478 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 2.478 * * [simplify]: iters left: 4 (6 enodes) 2.482 * * [simplify]: iters left: 3 (25 enodes) 2.492 * * [simplify]: iters left: 2 (36 enodes) 2.502 * * [simplify]: iters left: 1 (40 enodes) 2.509 * * [simplify]: Extracting #0: cost 1 inf + 0 2.509 * * [simplify]: Extracting #1: cost 7 inf + 0 2.509 * * [simplify]: Extracting #2: cost 16 inf + 0 2.509 * * [simplify]: Extracting #3: cost 13 inf + 44 2.510 * * [simplify]: Extracting #4: cost 3 inf + 823 2.510 * * [simplify]: Extracting #5: cost 0 inf + 1069 2.510 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 2.510 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt k))) 2.510 * * * * [progress]: [ 30 / 133 ] simplifiying candidate # 2.510 * [simplify]: Simplifying (/ (- 1 k) 2) 2.510 * * [simplify]: iters left: 4 (5 enodes) 2.512 * * [simplify]: iters left: 3 (23 enodes) 2.517 * * [simplify]: iters left: 2 (32 enodes) 2.522 * * [simplify]: iters left: 1 (34 enodes) 2.531 * * [simplify]: Extracting #0: cost 1 inf + 0 2.531 * * [simplify]: Extracting #1: cost 7 inf + 0 2.531 * * [simplify]: Extracting #2: cost 11 inf + 2 2.531 * * [simplify]: Extracting #3: cost 10 inf + 4 2.531 * * [simplify]: Extracting #4: cost 4 inf + 337 2.532 * * [simplify]: Extracting #5: cost 0 inf + 584 2.532 * [simplify]: Simplified to (/ (- 1 k) 2) 2.532 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (sqrt k))) 2.532 * * * * [progress]: [ 31 / 133 ] simplifiying candidate # 2.533 * [simplify]: Simplifying (/ (- 1 k) 2) 2.533 * * [simplify]: iters left: 4 (5 enodes) 2.536 * * [simplify]: iters left: 3 (23 enodes) 2.545 * * [simplify]: iters left: 2 (32 enodes) 2.556 * * [simplify]: iters left: 1 (34 enodes) 2.566 * * [simplify]: Extracting #0: cost 1 inf + 0 2.566 * * [simplify]: Extracting #1: cost 7 inf + 0 2.566 * * [simplify]: Extracting #2: cost 11 inf + 2 2.566 * * [simplify]: Extracting #3: cost 10 inf + 4 2.567 * * [simplify]: Extracting #4: cost 4 inf + 337 2.567 * * [simplify]: Extracting #5: cost 0 inf + 584 2.567 * [simplify]: Simplified to (/ (- 1 k) 2) 2.567 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (sqrt k))) 2.567 * * * * [progress]: [ 32 / 133 ] simplifiying candidate # 2.568 * [simplify]: Simplifying (/ 1 2) 2.568 * * [simplify]: iters left: 2 (3 enodes) 2.571 * * [simplify]: iters left: 1 (12 enodes) 2.575 * * [simplify]: Extracting #0: cost 1 inf + 0 2.575 * * [simplify]: Extracting #1: cost 0 inf + 1 2.575 * [simplify]: Simplified to 1/2 2.575 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (- 1 k)) 1/2) (sqrt k))) 2.575 * * * * [progress]: [ 33 / 133 ] simplifiying candidate # 2.576 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 2.576 * * [simplify]: iters left: 5 (7 enodes) 2.580 * * [simplify]: iters left: 4 (32 enodes) 2.592 * * [simplify]: iters left: 3 (57 enodes) 2.611 * * [simplify]: iters left: 2 (90 enodes) 2.641 * * [simplify]: iters left: 1 (170 enodes) 2.695 * * [simplify]: Extracting #0: cost 1 inf + 0 2.695 * * [simplify]: Extracting #1: cost 13 inf + 0 2.695 * * [simplify]: Extracting #2: cost 54 inf + 2 2.696 * * [simplify]: Extracting #3: cost 89 inf + 6 2.696 * * [simplify]: Extracting #4: cost 78 inf + 1344 2.700 * * [simplify]: Extracting #5: cost 20 inf + 14664 2.707 * * [simplify]: Extracting #6: cost 1 inf + 22045 2.715 * * [simplify]: Extracting #7: cost 0 inf + 21300 2.723 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 2.723 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 2.723 * * * * [progress]: [ 34 / 133 ] simplifiying candidate # 2.723 * * * * [progress]: [ 35 / 133 ] simplifiying candidate # 2.723 * * * * [progress]: [ 36 / 133 ] simplifiying candidate # 2.723 * * * * [progress]: [ 37 / 133 ] simplifiying candidate # 2.723 * * * * [progress]: [ 38 / 133 ] simplifiying candidate # 2.724 * * * * [progress]: [ 39 / 133 ] simplifiying candidate # 2.724 * * * * [progress]: [ 40 / 133 ] simplifiying candidate # 2.724 * * * * [progress]: [ 41 / 133 ] simplifiying candidate # 2.724 * * * * [progress]: [ 42 / 133 ] simplifiying candidate #real (real->posit16 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k)))> 2.724 * * * * [progress]: [ 43 / 133 ] simplifiying candidate # 2.724 * * * * [progress]: [ 44 / 133 ] simplifiying candidate # 2.724 * * * * [progress]: [ 45 / 133 ] simplifiying candidate # 2.724 * [simplify]: Simplifying (* n (* 2 PI)) 2.724 * * [simplify]: iters left: 4 (5 enodes) 2.727 * * [simplify]: iters left: 3 (19 enodes) 2.731 * * [simplify]: iters left: 2 (27 enodes) 2.736 * * [simplify]: iters left: 1 (32 enodes) 2.740 * * [simplify]: Extracting #0: cost 1 inf + 0 2.740 * * [simplify]: Extracting #1: cost 8 inf + 0 2.741 * * [simplify]: Extracting #2: cost 7 inf + 45 2.741 * * [simplify]: Extracting #3: cost 0 inf + 421 2.741 * [simplify]: Simplified to (* (* PI 2) n) 2.741 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (sqrt k))) 2.741 * * * * [progress]: [ 46 / 133 ] simplifiying candidate # 2.741 * [simplify]: Simplifying (* n (* 2 PI)) 2.741 * * [simplify]: iters left: 4 (5 enodes) 2.743 * * [simplify]: iters left: 3 (19 enodes) 2.746 * * [simplify]: iters left: 2 (27 enodes) 2.753 * * [simplify]: iters left: 1 (32 enodes) 2.758 * * [simplify]: Extracting #0: cost 1 inf + 0 2.758 * * [simplify]: Extracting #1: cost 8 inf + 0 2.758 * * [simplify]: Extracting #2: cost 7 inf + 45 2.758 * * [simplify]: Extracting #3: cost 0 inf + 421 2.758 * [simplify]: Simplified to (* (* PI 2) n) 2.758 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (sqrt k))) 2.759 * * * * [progress]: [ 47 / 133 ] simplifiying candidate # 2.759 * * * * [progress]: [ 48 / 133 ] simplifiying candidate # 2.759 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI))) 2.759 * * [simplify]: iters left: 5 (8 enodes) 2.761 * * [simplify]: iters left: 4 (28 enodes) 2.771 * * [simplify]: iters left: 3 (36 enodes) 2.782 * * [simplify]: iters left: 2 (42 enodes) 2.788 * * [simplify]: Extracting #0: cost 1 inf + 0 2.788 * * [simplify]: Extracting #1: cost 8 inf + 0 2.788 * * [simplify]: Extracting #2: cost 17 inf + 0 2.788 * * [simplify]: Extracting #3: cost 12 inf + 145 2.788 * * [simplify]: Extracting #4: cost 5 inf + 1197 2.788 * * [simplify]: Extracting #5: cost 1 inf + 1925 2.788 * * [simplify]: Extracting #6: cost 0 inf + 2107 2.789 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI))) 2.789 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (- 1 k) 2)) (sqrt k))) 2.789 * * * * [progress]: [ 49 / 133 ] simplifiying candidate # 2.789 * [simplify]: Simplifying (+ (log n) (log (* 2 PI))) 2.789 * * [simplify]: iters left: 5 (7 enodes) 2.791 * * [simplify]: iters left: 4 (26 enodes) 2.796 * * [simplify]: iters left: 3 (35 enodes) 2.801 * * [simplify]: iters left: 2 (44 enodes) 2.810 * * [simplify]: Extracting #0: cost 1 inf + 0 2.811 * * [simplify]: Extracting #1: cost 8 inf + 0 2.811 * * [simplify]: Extracting #2: cost 18 inf + 0 2.811 * * [simplify]: Extracting #3: cost 15 inf + 74 2.811 * * [simplify]: Extracting #4: cost 8 inf + 554 2.812 * * [simplify]: Extracting #5: cost 0 inf + 1911 2.812 * [simplify]: Simplified to (+ (log n) (log (* 2 PI))) 2.812 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (exp (+ (log n) (log (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k))) 2.813 * * * * [progress]: [ 50 / 133 ] simplifiying candidate # 2.813 * * * * [progress]: [ 51 / 133 ] simplifiying candidate # 2.813 * * * * [progress]: [ 52 / 133 ] simplifiying candidate # 2.813 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI))) 2.813 * * [simplify]: iters left: 6 (11 enodes) 2.821 * * [simplify]: iters left: 5 (48 enodes) 2.839 * * [simplify]: iters left: 4 (121 enodes) 2.899 * * [simplify]: iters left: 3 (348 enodes) 3.109 * * [simplify]: Extracting #0: cost 1 inf + 0 3.109 * * [simplify]: Extracting #1: cost 67 inf + 0 3.110 * * [simplify]: Extracting #2: cost 165 inf + 786 3.113 * * [simplify]: Extracting #3: cost 81 inf + 10746 3.119 * * [simplify]: Extracting #4: cost 9 inf + 26018 3.125 * * [simplify]: Extracting #5: cost 0 inf + 28546 3.132 * * [simplify]: Extracting #6: cost 0 inf + 28506 3.138 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI)) 3.138 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (cbrt (* (* (* (* n PI) (* n PI)) 8) (* n PI))) (/ (- 1 k) 2)) (sqrt k))) 3.138 * * * * [progress]: [ 53 / 133 ] simplifiying candidate # 3.139 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI))) 3.139 * * [simplify]: iters left: 6 (9 enodes) 3.142 * * [simplify]: iters left: 5 (45 enodes) 3.152 * * [simplify]: iters left: 4 (117 enodes) 3.188 * * [simplify]: iters left: 3 (377 enodes) 3.504 * * [simplify]: Extracting #0: cost 1 inf + 0 3.504 * * [simplify]: Extracting #1: cost 79 inf + 0 3.505 * * [simplify]: Extracting #2: cost 191 inf + 659 3.509 * * [simplify]: Extracting #3: cost 100 inf + 13238 3.518 * * [simplify]: Extracting #4: cost 6 inf + 31685 3.533 * * [simplify]: Extracting #5: cost 0 inf + 32539 3.552 * [simplify]: Simplified to (* (* 2 (* PI n)) (* (* 2 (* PI n)) (* 2 (* PI n)))) 3.552 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (cbrt (* (* 2 (* PI n)) (* (* 2 (* PI n)) (* 2 (* PI n))))) (/ (- 1 k) 2)) (sqrt k))) 3.552 * * * * [progress]: [ 54 / 133 ] simplifiying candidate # 3.552 * * * * [progress]: [ 55 / 133 ] simplifiying candidate # 3.553 * * * * [progress]: [ 56 / 133 ] simplifiying candidate # 3.553 * * * * [progress]: [ 57 / 133 ] simplifiying candidate # 3.553 * * * * [progress]: [ 58 / 133 ] simplifiying candidate # 3.553 * * * * [progress]: [ 59 / 133 ] simplifiying candidate # 3.553 * [simplify]: Simplifying (* (cbrt n) (cbrt n)) 3.553 * * [simplify]: iters left: 3 (3 enodes) 3.555 * * [simplify]: iters left: 2 (9 enodes) 3.557 * * [simplify]: Extracting #0: cost 1 inf + 0 3.557 * * [simplify]: Extracting #1: cost 3 inf + 0 3.557 * * [simplify]: Extracting #2: cost 5 inf + 0 3.557 * * [simplify]: Extracting #3: cost 4 inf + 1 3.557 * * [simplify]: Extracting #4: cost 0 inf + 405 3.558 * [simplify]: Simplified to (* (cbrt n) (cbrt n)) 3.558 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (- 1 k) 2)) (sqrt k))) 3.558 * * * * [progress]: [ 60 / 133 ] simplifiying candidate # 3.558 * [simplify]: Simplifying (sqrt n) 3.558 * * [simplify]: iters left: 1 (2 enodes) 3.559 * * [simplify]: Extracting #0: cost 1 inf + 0 3.559 * * [simplify]: Extracting #1: cost 3 inf + 0 3.559 * * [simplify]: Extracting #2: cost 2 inf + 1 3.559 * * [simplify]: Extracting #3: cost 0 inf + 83 3.559 * [simplify]: Simplified to (sqrt n) 3.559 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (- 1 k) 2)) (sqrt k))) 3.559 * * * * [progress]: [ 61 / 133 ] simplifiying candidate # 3.559 * * * * [progress]: [ 62 / 133 ] simplifiying candidate #real (real->posit16 (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))> 3.559 * * * * [progress]: [ 63 / 133 ] simplifiying candidate # 3.559 * * * * [progress]: [ 64 / 133 ] simplifiying candidate # 3.560 * * * * [progress]: [ 65 / 133 ] simplifiying candidate # 3.560 * * * * [progress]: [ 66 / 133 ] simplifiying candidate # 3.560 * * * * [progress]: [ 67 / 133 ] simplifiying candidate # 3.560 * [simplify]: Simplifying (- (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (log (sqrt k))) 3.560 * * [simplify]: iters left: 6 (16 enodes) 3.569 * * [simplify]: iters left: 5 (66 enodes) 3.591 * * [simplify]: iters left: 4 (113 enodes) 3.620 * * [simplify]: iters left: 3 (308 enodes) 3.768 * * [simplify]: Extracting #0: cost 1 inf + 0 3.768 * * [simplify]: Extracting #1: cost 33 inf + 0 3.768 * * [simplify]: Extracting #2: cost 116 inf + 0 3.769 * * [simplify]: Extracting #3: cost 164 inf + 329 3.771 * * [simplify]: Extracting #4: cost 130 inf + 10620 3.778 * * [simplify]: Extracting #5: cost 21 inf + 41329 3.788 * * [simplify]: Extracting #6: cost 0 inf + 49734 3.804 * * [simplify]: Extracting #7: cost 0 inf + 49733 3.814 * [simplify]: Simplified to (- (/ (- (+ (log PI) (+ (log n) (log 2))) (* k (+ (log PI) (+ (log n) (log 2))))) 2) (log (sqrt k))) 3.814 * [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))))) 3.814 * * * * [progress]: [ 68 / 133 ] simplifiying candidate # 3.814 * [simplify]: Simplifying (- (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k))) 3.814 * * [simplify]: iters left: 6 (15 enodes) 3.819 * * [simplify]: iters left: 5 (64 enodes) 3.831 * * [simplify]: iters left: 4 (106 enodes) 3.872 * * [simplify]: iters left: 3 (249 enodes) 3.971 * * [simplify]: Extracting #0: cost 1 inf + 0 3.971 * * [simplify]: Extracting #1: cost 29 inf + 0 3.972 * * [simplify]: Extracting #2: cost 111 inf + 0 3.973 * * [simplify]: Extracting #3: cost 150 inf + 342 3.975 * * [simplify]: Extracting #4: cost 136 inf + 6102 3.983 * * [simplify]: Extracting #5: cost 59 inf + 24622 3.998 * * [simplify]: Extracting #6: cost 7 inf + 38491 4.015 * * [simplify]: Extracting #7: cost 0 inf + 41230 4.031 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))) 4.031 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))))) 4.031 * * * * [progress]: [ 69 / 133 ] simplifiying candidate # 4.032 * [simplify]: Simplifying (- (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k))) 4.032 * * [simplify]: iters left: 6 (14 enodes) 4.040 * * [simplify]: iters left: 5 (63 enodes) 4.061 * * [simplify]: iters left: 4 (113 enodes) 4.093 * * [simplify]: iters left: 3 (231 enodes) 4.184 * * [simplify]: Extracting #0: cost 1 inf + 0 4.185 * * [simplify]: Extracting #1: cost 23 inf + 0 4.185 * * [simplify]: Extracting #2: cost 108 inf + 0 4.185 * * [simplify]: Extracting #3: cost 143 inf + 620 4.187 * * [simplify]: Extracting #4: cost 134 inf + 4883 4.190 * * [simplify]: Extracting #5: cost 41 inf + 23887 4.197 * * [simplify]: Extracting #6: cost 1 inf + 35360 4.205 * * [simplify]: Extracting #7: cost 0 inf + 35518 4.212 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 4.212 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 4.212 * * * * [progress]: [ 70 / 133 ] simplifiying candidate # 4.213 * [simplify]: Simplifying (- (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k))) 4.213 * * [simplify]: iters left: 6 (14 enodes) 4.217 * * [simplify]: iters left: 5 (63 enodes) 4.238 * * [simplify]: iters left: 4 (113 enodes) 4.277 * * [simplify]: iters left: 3 (231 enodes) 4.367 * * [simplify]: Extracting #0: cost 1 inf + 0 4.367 * * [simplify]: Extracting #1: cost 23 inf + 0 4.367 * * [simplify]: Extracting #2: cost 108 inf + 0 4.368 * * [simplify]: Extracting #3: cost 143 inf + 620 4.369 * * [simplify]: Extracting #4: cost 134 inf + 4883 4.375 * * [simplify]: Extracting #5: cost 41 inf + 23887 4.382 * * [simplify]: Extracting #6: cost 1 inf + 35360 4.390 * * [simplify]: Extracting #7: cost 0 inf + 35518 4.401 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 4.401 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 4.401 * * * * [progress]: [ 71 / 133 ] simplifiying candidate # 4.401 * [simplify]: Simplifying (- (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (log (sqrt k))) 4.401 * * [simplify]: iters left: 6 (14 enodes) 4.407 * * [simplify]: iters left: 5 (61 enodes) 4.418 * * [simplify]: iters left: 4 (112 enodes) 4.443 * * [simplify]: iters left: 3 (221 enodes) 4.505 * * [simplify]: Extracting #0: cost 1 inf + 0 4.505 * * [simplify]: Extracting #1: cost 24 inf + 0 4.505 * * [simplify]: Extracting #2: cost 131 inf + 0 4.506 * * [simplify]: Extracting #3: cost 196 inf + 75 4.507 * * [simplify]: Extracting #4: cost 153 inf + 6973 4.512 * * [simplify]: Extracting #5: cost 28 inf + 33579 4.519 * * [simplify]: Extracting #6: cost 4 inf + 41961 4.528 * * [simplify]: Extracting #7: cost 0 inf + 44417 4.543 * [simplify]: Simplified to (- (* (log (* (* PI 2) n)) (/ (- 1 k) 2)) (log (sqrt k))) 4.544 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* PI 2) n)) (/ (- 1 k) 2)) (log (sqrt k))))) 4.544 * * * * [progress]: [ 72 / 133 ] simplifiying candidate # 4.544 * * * * [progress]: [ 73 / 133 ] simplifiying candidate # 4.544 * * * * [progress]: [ 74 / 133 ] simplifiying candidate # 4.544 * [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))) 4.544 * * [simplify]: iters left: 6 (16 enodes) 4.557 * * [simplify]: iters left: 5 (72 enodes) 4.583 * * [simplify]: iters left: 4 (165 enodes) 4.632 * * [simplify]: iters left: 3 (476 enodes) 4.912 * * [simplify]: Extracting #0: cost 1 inf + 0 4.912 * * [simplify]: Extracting #1: cost 170 inf + 0 4.913 * * [simplify]: Extracting #2: cost 447 inf + 1 4.915 * * [simplify]: Extracting #3: cost 501 inf + 248 4.919 * * [simplify]: Extracting #4: cost 480 inf + 4156 4.941 * * [simplify]: Extracting #5: cost 297 inf + 104825 4.994 * * [simplify]: Extracting #6: cost 24 inf + 305640 5.085 * * [simplify]: Extracting #7: cost 0 inf + 322336 5.185 * [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)))) 5.185 * [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)))))) 5.185 * * * * [progress]: [ 75 / 133 ] simplifiying candidate # 5.186 * * * * [progress]: [ 76 / 133 ] simplifiying candidate # 5.186 * * * * [progress]: [ 77 / 133 ] simplifiying candidate # 5.186 * * * * [progress]: [ 78 / 133 ] simplifiying candidate # 5.186 * * * * [progress]: [ 79 / 133 ] simplifiying candidate # 5.186 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 5.186 * * [simplify]: iters left: 6 (11 enodes) 5.193 * * [simplify]: iters left: 5 (46 enodes) 5.210 * * [simplify]: iters left: 4 (79 enodes) 5.238 * * [simplify]: iters left: 3 (137 enodes) 5.289 * * [simplify]: iters left: 2 (284 enodes) 5.404 * * [simplify]: Extracting #0: cost 1 inf + 0 5.404 * * [simplify]: Extracting #1: cost 54 inf + 0 5.405 * * [simplify]: Extracting #2: cost 149 inf + 0 5.405 * * [simplify]: Extracting #3: cost 215 inf + 3 5.406 * * [simplify]: Extracting #4: cost 210 inf + 1215 5.409 * * [simplify]: Extracting #5: cost 147 inf + 16368 5.420 * * [simplify]: Extracting #6: cost 35 inf + 84395 5.433 * * [simplify]: Extracting #7: cost 3 inf + 108051 5.447 * * [simplify]: Extracting #8: cost 0 inf + 109590 5.460 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 5.460 * [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))))) 5.461 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k))) 5.461 * * [simplify]: iters left: 6 (11 enodes) 5.464 * * [simplify]: iters left: 5 (45 enodes) 5.473 * * [simplify]: iters left: 4 (68 enodes) 5.486 * * [simplify]: iters left: 3 (112 enodes) 5.515 * * [simplify]: iters left: 2 (229 enodes) 5.582 * * [simplify]: iters left: 1 (485 enodes) 5.818 * * [simplify]: Extracting #0: cost 1 inf + 0 5.818 * * [simplify]: Extracting #1: cost 52 inf + 0 5.819 * * [simplify]: Extracting #2: cost 168 inf + 0 5.821 * * [simplify]: Extracting #3: cost 259 inf + 3 5.823 * * [simplify]: Extracting #4: cost 262 inf + 888 5.829 * * [simplify]: Extracting #5: cost 187 inf + 13769 5.841 * * [simplify]: Extracting #6: cost 41 inf + 106117 5.863 * * [simplify]: Extracting #7: cost 0 inf + 142276 5.905 * * [simplify]: Extracting #8: cost 0 inf + 141496 5.937 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (cbrt (sqrt k))) 5.937 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (cbrt (sqrt k))))) 5.937 * * * * [progress]: [ 80 / 133 ] simplifiying candidate # 5.938 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (* (cbrt k) (cbrt k)))) 5.938 * * [simplify]: iters left: 6 (11 enodes) 5.941 * * [simplify]: iters left: 5 (45 enodes) 5.950 * * [simplify]: iters left: 4 (72 enodes) 5.964 * * [simplify]: iters left: 3 (115 enodes) 6.006 * * [simplify]: iters left: 2 (216 enodes) 6.076 * * [simplify]: iters left: 1 (460 enodes) 6.361 * * [simplify]: Extracting #0: cost 1 inf + 0 6.361 * * [simplify]: Extracting #1: cost 44 inf + 0 6.361 * * [simplify]: Extracting #2: cost 144 inf + 0 6.362 * * [simplify]: Extracting #3: cost 221 inf + 4 6.364 * * [simplify]: Extracting #4: cost 214 inf + 2829 6.367 * * [simplify]: Extracting #5: cost 146 inf + 16286 6.376 * * [simplify]: Extracting #6: cost 46 inf + 80897 6.391 * * [simplify]: Extracting #7: cost 0 inf + 116892 6.420 * * [simplify]: Extracting #8: cost 0 inf + 116771 6.451 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) 6.451 * [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))))) 6.451 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k))) 6.452 * * [simplify]: iters left: 6 (11 enodes) 6.458 * * [simplify]: iters left: 5 (45 enodes) 6.473 * * [simplify]: iters left: 4 (68 enodes) 6.496 * * [simplify]: iters left: 3 (112 enodes) 6.541 * * [simplify]: iters left: 2 (229 enodes) 6.607 * * [simplify]: iters left: 1 (485 enodes) 6.800 * * [simplify]: Extracting #0: cost 1 inf + 0 6.800 * * [simplify]: Extracting #1: cost 52 inf + 0 6.801 * * [simplify]: Extracting #2: cost 168 inf + 0 6.802 * * [simplify]: Extracting #3: cost 259 inf + 3 6.803 * * [simplify]: Extracting #4: cost 262 inf + 928 6.806 * * [simplify]: Extracting #5: cost 187 inf + 13849 6.821 * * [simplify]: Extracting #6: cost 41 inf + 106197 6.842 * * [simplify]: Extracting #7: cost 0 inf + 142356 6.872 * * [simplify]: Extracting #8: cost 0 inf + 141576 6.890 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (cbrt k))) 6.890 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (cbrt k))))) 6.890 * * * * [progress]: [ 81 / 133 ] simplifiying candidate # 6.891 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 6.891 * * [simplify]: iters left: 6 (10 enodes) 6.894 * * [simplify]: iters left: 5 (41 enodes) 6.905 * * [simplify]: iters left: 4 (68 enodes) 6.929 * * [simplify]: iters left: 3 (111 enodes) 6.969 * * [simplify]: iters left: 2 (208 enodes) 7.057 * * [simplify]: iters left: 1 (454 enodes) 7.263 * * [simplify]: Extracting #0: cost 1 inf + 0 7.263 * * [simplify]: Extracting #1: cost 44 inf + 0 7.263 * * [simplify]: Extracting #2: cost 150 inf + 0 7.264 * * [simplify]: Extracting #3: cost 229 inf + 4 7.265 * * [simplify]: Extracting #4: cost 232 inf + 888 7.268 * * [simplify]: Extracting #5: cost 161 inf + 14538 7.285 * * [simplify]: Extracting #6: cost 54 inf + 77463 7.314 * * [simplify]: Extracting #7: cost 0 inf + 123615 7.344 * * [simplify]: Extracting #8: cost 0 inf + 121772 7.378 * * [simplify]: Extracting #9: cost 0 inf + 121731 7.405 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 7.405 * [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))))) 7.405 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 7.405 * * [simplify]: iters left: 6 (11 enodes) 7.408 * * [simplify]: iters left: 5 (45 enodes) 7.417 * * [simplify]: iters left: 4 (68 enodes) 7.429 * * [simplify]: iters left: 3 (112 enodes) 7.474 * * [simplify]: iters left: 2 (229 enodes) 7.570 * * [simplify]: iters left: 1 (485 enodes) 7.778 * * [simplify]: Extracting #0: cost 1 inf + 0 7.779 * * [simplify]: Extracting #1: cost 52 inf + 0 7.780 * * [simplify]: Extracting #2: cost 168 inf + 0 7.782 * * [simplify]: Extracting #3: cost 259 inf + 3 7.784 * * [simplify]: Extracting #4: cost 262 inf + 888 7.791 * * [simplify]: Extracting #5: cost 187 inf + 13529 7.814 * * [simplify]: Extracting #6: cost 41 inf + 103437 7.851 * * [simplify]: Extracting #7: cost 0 inf + 138756 7.889 * * [simplify]: Extracting #8: cost 0 inf + 137976 7.928 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k))) 7.928 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k))))) 7.929 * * * * [progress]: [ 82 / 133 ] simplifiying candidate # 7.929 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) 7.929 * * [simplify]: iters left: 6 (9 enodes) 7.935 * * [simplify]: iters left: 5 (38 enodes) 7.949 * * [simplify]: iters left: 4 (63 enodes) 7.970 * * [simplify]: iters left: 3 (104 enodes) 8.007 * * [simplify]: iters left: 2 (197 enodes) 8.090 * * [simplify]: iters left: 1 (427 enodes) 8.315 * * [simplify]: Extracting #0: cost 1 inf + 0 8.315 * * [simplify]: Extracting #1: cost 58 inf + 0 8.316 * * [simplify]: Extracting #2: cost 160 inf + 3 8.318 * * [simplify]: Extracting #3: cost 212 inf + 8 8.320 * * [simplify]: Extracting #4: cost 191 inf + 2409 8.328 * * [simplify]: Extracting #5: cost 117 inf + 14792 8.337 * * [simplify]: Extracting #6: cost 32 inf + 70097 8.351 * * [simplify]: Extracting #7: cost 0 inf + 94162 8.376 * * [simplify]: Extracting #8: cost 0 inf + 90449 8.403 * [simplify]: Simplified to (pow n (- 1/2 (/ k 2))) 8.404 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 8.404 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 8.404 * * [simplify]: iters left: 6 (10 enodes) 8.407 * * [simplify]: iters left: 5 (42 enodes) 8.415 * * [simplify]: iters left: 4 (65 enodes) 8.426 * * [simplify]: iters left: 3 (106 enodes) 8.467 * * [simplify]: iters left: 2 (218 enodes) 8.531 * * [simplify]: iters left: 1 (465 enodes) 8.750 * * [simplify]: Extracting #0: cost 1 inf + 0 8.750 * * [simplify]: Extracting #1: cost 54 inf + 0 8.750 * * [simplify]: Extracting #2: cost 159 inf + 0 8.751 * * [simplify]: Extracting #3: cost 239 inf + 45 8.752 * * [simplify]: Extracting #4: cost 239 inf + 847 8.755 * * [simplify]: Extracting #5: cost 183 inf + 10512 8.767 * * [simplify]: Extracting #6: cost 73 inf + 71184 8.798 * * [simplify]: Extracting #7: cost 0 inf + 131381 8.821 * * [simplify]: Extracting #8: cost 0 inf + 129574 8.840 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)) 8.840 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))) 8.840 * * * * [progress]: [ 83 / 133 ] simplifiying candidate # 8.841 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 8.841 * * [simplify]: iters left: 6 (10 enodes) 8.847 * * [simplify]: iters left: 5 (41 enodes) 8.861 * * [simplify]: iters left: 4 (68 enodes) 8.884 * * [simplify]: iters left: 3 (111 enodes) 8.922 * * [simplify]: iters left: 2 (208 enodes) 8.979 * * [simplify]: iters left: 1 (454 enodes) 9.160 * * [simplify]: Extracting #0: cost 1 inf + 0 9.160 * * [simplify]: Extracting #1: cost 44 inf + 0 9.161 * * [simplify]: Extracting #2: cost 150 inf + 0 9.162 * * [simplify]: Extracting #3: cost 229 inf + 4 9.164 * * [simplify]: Extracting #4: cost 232 inf + 888 9.171 * * [simplify]: Extracting #5: cost 161 inf + 14538 9.188 * * [simplify]: Extracting #6: cost 54 inf + 77463 9.221 * * [simplify]: Extracting #7: cost 0 inf + 123615 9.237 * * [simplify]: Extracting #8: cost 0 inf + 121772 9.256 * * [simplify]: Extracting #9: cost 0 inf + 121731 9.280 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 9.280 * [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))))) 9.280 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 9.280 * * [simplify]: iters left: 6 (11 enodes) 9.283 * * [simplify]: iters left: 5 (45 enodes) 9.291 * * [simplify]: iters left: 4 (68 enodes) 9.308 * * [simplify]: iters left: 3 (112 enodes) 9.354 * * [simplify]: iters left: 2 (229 enodes) 9.438 * * [simplify]: iters left: 1 (485 enodes) 9.671 * * [simplify]: Extracting #0: cost 1 inf + 0 9.671 * * [simplify]: Extracting #1: cost 52 inf + 0 9.671 * * [simplify]: Extracting #2: cost 168 inf + 0 9.672 * * [simplify]: Extracting #3: cost 259 inf + 3 9.674 * * [simplify]: Extracting #4: cost 262 inf + 888 9.681 * * [simplify]: Extracting #5: cost 187 inf + 13529 9.703 * * [simplify]: Extracting #6: cost 41 inf + 103437 9.745 * * [simplify]: Extracting #7: cost 0 inf + 138756 9.782 * * [simplify]: Extracting #8: cost 0 inf + 137976 9.818 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k))) 9.818 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k))))) 9.818 * * * * [progress]: [ 84 / 133 ] simplifiying candidate # 9.819 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) 1) 9.819 * * [simplify]: iters left: 6 (8 enodes) 9.824 * * [simplify]: iters left: 5 (33 enodes) 9.836 * * [simplify]: iters left: 4 (56 enodes) 9.855 * * [simplify]: iters left: 3 (104 enodes) 9.891 * * [simplify]: iters left: 2 (223 enodes) 9.965 * * [simplify]: Extracting #0: cost 1 inf + 0 9.965 * * [simplify]: Extracting #1: cost 32 inf + 0 9.965 * * [simplify]: Extracting #2: cost 98 inf + 3 9.966 * * [simplify]: Extracting #3: cost 138 inf + 7 9.966 * * [simplify]: Extracting #4: cost 132 inf + 1182 9.969 * * [simplify]: Extracting #5: cost 59 inf + 19446 9.976 * * [simplify]: Extracting #6: cost 1 inf + 50160 9.984 * * [simplify]: Extracting #7: cost 0 inf + 50164 9.997 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 9.997 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 9.997 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 9.997 * * [simplify]: iters left: 6 (10 enodes) 10.003 * * [simplify]: iters left: 5 (42 enodes) 10.014 * * [simplify]: iters left: 4 (65 enodes) 10.026 * * [simplify]: iters left: 3 (106 enodes) 10.053 * * [simplify]: iters left: 2 (218 enodes) 10.117 * * [simplify]: iters left: 1 (465 enodes) 10.369 * * [simplify]: Extracting #0: cost 1 inf + 0 10.370 * * [simplify]: Extracting #1: cost 54 inf + 0 10.371 * * [simplify]: Extracting #2: cost 159 inf + 0 10.372 * * [simplify]: Extracting #3: cost 239 inf + 45 10.375 * * [simplify]: Extracting #4: cost 239 inf + 847 10.380 * * [simplify]: Extracting #5: cost 183 inf + 10512 10.398 * * [simplify]: Extracting #6: cost 73 inf + 71184 10.415 * * [simplify]: Extracting #7: cost 0 inf + 131381 10.438 * * [simplify]: Extracting #8: cost 0 inf + 129574 10.456 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)) 10.456 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))) 10.456 * * * * [progress]: [ 85 / 133 ] simplifiying candidate # 10.456 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 10.456 * * [simplify]: iters left: 6 (16 enodes) 10.461 * * [simplify]: iters left: 5 (69 enodes) 10.477 * * [simplify]: iters left: 4 (117 enodes) 10.499 * * [simplify]: iters left: 3 (166 enodes) 10.546 * * [simplify]: iters left: 2 (250 enodes) 10.615 * * [simplify]: iters left: 1 (419 enodes) 10.803 * * [simplify]: Extracting #0: cost 1 inf + 0 10.803 * * [simplify]: Extracting #1: cost 11 inf + 0 10.804 * * [simplify]: Extracting #2: cost 22 inf + 0 10.804 * * [simplify]: Extracting #3: cost 51 inf + 0 10.805 * * [simplify]: Extracting #4: cost 125 inf + 2 10.806 * * [simplify]: Extracting #5: cost 159 inf + 1492 10.811 * * [simplify]: Extracting #6: cost 108 inf + 11221 10.829 * * [simplify]: Extracting #7: cost 30 inf + 45351 10.846 * * [simplify]: Extracting #8: cost 1 inf + 70800 10.857 * * [simplify]: Extracting #9: cost 0 inf + 71415 10.868 * [simplify]: Simplified to (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 10.868 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k))))) 10.868 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k))) 10.869 * * [simplify]: iters left: 6 (14 enodes) 10.876 * * [simplify]: iters left: 5 (57 enodes) 10.895 * * [simplify]: iters left: 4 (90 enodes) 10.923 * * [simplify]: iters left: 3 (129 enodes) 10.969 * * [simplify]: iters left: 2 (209 enodes) 11.021 * * [simplify]: iters left: 1 (388 enodes) 11.186 * * [simplify]: Extracting #0: cost 1 inf + 0 11.186 * * [simplify]: Extracting #1: cost 4 inf + 0 11.187 * * [simplify]: Extracting #2: cost 8 inf + 0 11.187 * * [simplify]: Extracting #3: cost 37 inf + 0 11.187 * * [simplify]: Extracting #4: cost 114 inf + 164 11.189 * * [simplify]: Extracting #5: cost 156 inf + 751 11.192 * * [simplify]: Extracting #6: cost 108 inf + 7624 11.203 * * [simplify]: Extracting #7: cost 35 inf + 40139 11.213 * * [simplify]: Extracting #8: cost 0 inf + 70356 11.223 * * [simplify]: Extracting #9: cost 0 inf + 69503 11.234 * * [simplify]: Extracting #10: cost 0 inf + 69251 11.255 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 11.255 * [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))))) 11.256 * * * * [progress]: [ 86 / 133 ] simplifiying candidate # 11.256 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (* (cbrt k) (cbrt k)))) 11.256 * * [simplify]: iters left: 6 (16 enodes) 11.265 * * [simplify]: iters left: 5 (66 enodes) 11.276 * * [simplify]: iters left: 4 (103 enodes) 11.294 * * [simplify]: iters left: 3 (144 enodes) 11.333 * * [simplify]: iters left: 2 (224 enodes) 11.392 * * [simplify]: iters left: 1 (400 enodes) 11.570 * * [simplify]: Extracting #0: cost 1 inf + 0 11.571 * * [simplify]: Extracting #1: cost 7 inf + 0 11.571 * * [simplify]: Extracting #2: cost 15 inf + 0 11.571 * * [simplify]: Extracting #3: cost 46 inf + 0 11.572 * * [simplify]: Extracting #4: cost 118 inf + 204 11.573 * * [simplify]: Extracting #5: cost 157 inf + 990 11.576 * * [simplify]: Extracting #6: cost 125 inf + 4999 11.582 * * [simplify]: Extracting #7: cost 75 inf + 14309 11.596 * * [simplify]: Extracting #8: cost 22 inf + 47877 11.618 * * [simplify]: Extracting #9: cost 0 inf + 65438 11.640 * * [simplify]: Extracting #10: cost 0 inf + 65085 11.652 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (fabs (cbrt k))) 11.652 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (fabs (cbrt k))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k))))) 11.652 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k))) 11.652 * * [simplify]: iters left: 6 (14 enodes) 11.656 * * [simplify]: iters left: 5 (57 enodes) 11.666 * * [simplify]: iters left: 4 (90 enodes) 11.683 * * [simplify]: iters left: 3 (129 enodes) 11.711 * * [simplify]: iters left: 2 (209 enodes) 11.759 * * [simplify]: iters left: 1 (388 enodes) 11.893 * * [simplify]: Extracting #0: cost 1 inf + 0 11.893 * * [simplify]: Extracting #1: cost 4 inf + 0 11.893 * * [simplify]: Extracting #2: cost 8 inf + 0 11.894 * * [simplify]: Extracting #3: cost 37 inf + 0 11.894 * * [simplify]: Extracting #4: cost 114 inf + 204 11.895 * * [simplify]: Extracting #5: cost 156 inf + 831 11.899 * * [simplify]: Extracting #6: cost 108 inf + 7704 11.912 * * [simplify]: Extracting #7: cost 35 inf + 40219 11.932 * * [simplify]: Extracting #8: cost 0 inf + 70436 11.952 * * [simplify]: Extracting #9: cost 0 inf + 69583 11.967 * * [simplify]: Extracting #10: cost 0 inf + 69331 11.978 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (cbrt k))) 11.978 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (cbrt k))))) 11.978 * * * * [progress]: [ 87 / 133 ] simplifiying candidate # 11.978 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) 11.978 * * [simplify]: iters left: 6 (15 enodes) 11.983 * * [simplify]: iters left: 5 (62 enodes) 11.994 * * [simplify]: iters left: 4 (99 enodes) 12.018 * * [simplify]: iters left: 3 (144 enodes) 12.065 * * [simplify]: iters left: 2 (229 enodes) 12.150 * * [simplify]: iters left: 1 (404 enodes) 12.351 * * [simplify]: Extracting #0: cost 1 inf + 0 12.352 * * [simplify]: Extracting #1: cost 7 inf + 0 12.352 * * [simplify]: Extracting #2: cost 14 inf + 0 12.352 * * [simplify]: Extracting #3: cost 44 inf + 0 12.353 * * [simplify]: Extracting #4: cost 120 inf + 165 12.354 * * [simplify]: Extracting #5: cost 164 inf + 630 12.360 * * [simplify]: Extracting #6: cost 103 inf + 14197 12.382 * * [simplify]: Extracting #7: cost 10 inf + 59735 12.412 * * [simplify]: Extracting #8: cost 0 inf + 63147 12.443 * * [simplify]: Extracting #9: cost 0 inf + 62887 12.467 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 12.467 * [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))))) (sqrt (sqrt k))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 12.468 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 12.468 * * [simplify]: iters left: 6 (14 enodes) 12.475 * * [simplify]: iters left: 5 (57 enodes) 12.486 * * [simplify]: iters left: 4 (90 enodes) 12.508 * * [simplify]: iters left: 3 (129 enodes) 12.552 * * [simplify]: iters left: 2 (209 enodes) 12.634 * * [simplify]: iters left: 1 (388 enodes) 12.849 * * [simplify]: Extracting #0: cost 1 inf + 0 12.849 * * [simplify]: Extracting #1: cost 4 inf + 0 12.849 * * [simplify]: Extracting #2: cost 8 inf + 0 12.850 * * [simplify]: Extracting #3: cost 37 inf + 0 12.850 * * [simplify]: Extracting #4: cost 114 inf + 124 12.852 * * [simplify]: Extracting #5: cost 156 inf + 671 12.856 * * [simplify]: Extracting #6: cost 108 inf + 7544 12.872 * * [simplify]: Extracting #7: cost 35 inf + 39979 12.883 * * [simplify]: Extracting #8: cost 0 inf + 70196 12.893 * * [simplify]: Extracting #9: cost 0 inf + 69343 12.906 * * [simplify]: Extracting #10: cost 0 inf + 69091 12.922 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 12.922 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 12.922 * * * * [progress]: [ 88 / 133 ] simplifiying candidate # 12.922 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt 1)) 12.922 * * [simplify]: iters left: 6 (14 enodes) 12.927 * * [simplify]: iters left: 5 (59 enodes) 12.938 * * [simplify]: iters left: 4 (96 enodes) 12.960 * * [simplify]: iters left: 3 (138 enodes) 12.994 * * [simplify]: iters left: 2 (219 enodes) 13.059 * * [simplify]: iters left: 1 (402 enodes) 13.231 * * [simplify]: Extracting #0: cost 1 inf + 0 13.231 * * [simplify]: Extracting #1: cost 5 inf + 0 13.231 * * [simplify]: Extracting #2: cost 7 inf + 1 13.231 * * [simplify]: Extracting #3: cost 35 inf + 1 13.232 * * [simplify]: Extracting #4: cost 109 inf + 2 13.233 * * [simplify]: Extracting #5: cost 168 inf + 218 13.235 * * [simplify]: Extracting #6: cost 171 inf + 478 13.239 * * [simplify]: Extracting #7: cost 108 inf + 7484 13.250 * * [simplify]: Extracting #8: cost 36 inf + 34754 13.269 * * [simplify]: Extracting #9: cost 3 inf + 63813 13.294 * * [simplify]: Extracting #10: cost 0 inf + 65844 13.304 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 13.305 * [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)))) 13.305 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 13.305 * * [simplify]: iters left: 6 (13 enodes) 13.309 * * [simplify]: iters left: 5 (54 enodes) 13.318 * * [simplify]: iters left: 4 (87 enodes) 13.345 * * [simplify]: iters left: 3 (130 enodes) 13.388 * * [simplify]: iters left: 2 (211 enodes) 13.469 * * [simplify]: iters left: 1 (391 enodes) 13.663 * * [simplify]: Extracting #0: cost 1 inf + 0 13.663 * * [simplify]: Extracting #1: cost 4 inf + 0 13.663 * * [simplify]: Extracting #2: cost 8 inf + 0 13.664 * * [simplify]: Extracting #3: cost 31 inf + 83 13.664 * * [simplify]: Extracting #4: cost 111 inf + 84 13.665 * * [simplify]: Extracting #5: cost 159 inf + 384 13.669 * * [simplify]: Extracting #6: cost 115 inf + 6097 13.682 * * [simplify]: Extracting #7: cost 28 inf + 43760 13.704 * * [simplify]: Extracting #8: cost 0 inf + 63947 13.725 * * [simplify]: Extracting #9: cost 0 inf + 63744 13.746 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)) 13.746 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt 1)) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)))) 13.746 * * * * [progress]: [ 89 / 133 ] simplifiying candidate # 13.747 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) 13.747 * * [simplify]: iters left: 6 (15 enodes) 13.755 * * [simplify]: iters left: 5 (62 enodes) 13.777 * * [simplify]: iters left: 4 (99 enodes) 13.802 * * [simplify]: iters left: 3 (144 enodes) 13.828 * * [simplify]: iters left: 2 (229 enodes) 13.916 * * [simplify]: iters left: 1 (404 enodes) 14.099 * * [simplify]: Extracting #0: cost 1 inf + 0 14.099 * * [simplify]: Extracting #1: cost 7 inf + 0 14.099 * * [simplify]: Extracting #2: cost 14 inf + 0 14.099 * * [simplify]: Extracting #3: cost 44 inf + 0 14.100 * * [simplify]: Extracting #4: cost 120 inf + 165 14.101 * * [simplify]: Extracting #5: cost 164 inf + 630 14.104 * * [simplify]: Extracting #6: cost 103 inf + 14197 14.117 * * [simplify]: Extracting #7: cost 10 inf + 59735 14.133 * * [simplify]: Extracting #8: cost 0 inf + 63147 14.154 * * [simplify]: Extracting #9: cost 0 inf + 62887 14.184 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 14.184 * [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))))) (sqrt (sqrt k))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 14.184 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 14.185 * * [simplify]: iters left: 6 (14 enodes) 14.192 * * [simplify]: iters left: 5 (57 enodes) 14.211 * * [simplify]: iters left: 4 (90 enodes) 14.239 * * [simplify]: iters left: 3 (129 enodes) 14.287 * * [simplify]: iters left: 2 (209 enodes) 14.366 * * [simplify]: iters left: 1 (388 enodes) 14.557 * * [simplify]: Extracting #0: cost 1 inf + 0 14.557 * * [simplify]: Extracting #1: cost 4 inf + 0 14.558 * * [simplify]: Extracting #2: cost 8 inf + 0 14.558 * * [simplify]: Extracting #3: cost 37 inf + 0 14.558 * * [simplify]: Extracting #4: cost 114 inf + 124 14.560 * * [simplify]: Extracting #5: cost 156 inf + 671 14.564 * * [simplify]: Extracting #6: cost 108 inf + 7544 14.576 * * [simplify]: Extracting #7: cost 35 inf + 39979 14.596 * * [simplify]: Extracting #8: cost 0 inf + 70196 14.617 * * [simplify]: Extracting #9: cost 0 inf + 69343 14.637 * * [simplify]: Extracting #10: cost 0 inf + 69091 14.661 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 14.661 * [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))))) 14.661 * * * * [progress]: [ 90 / 133 ] simplifiying candidate # 14.662 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 1) 14.662 * * [simplify]: iters left: 6 (13 enodes) 14.670 * * [simplify]: iters left: 5 (54 enodes) 14.690 * * [simplify]: iters left: 4 (95 enodes) 14.720 * * [simplify]: iters left: 3 (139 enodes) 14.765 * * [simplify]: iters left: 2 (220 enodes) 14.823 * * [simplify]: iters left: 1 (398 enodes) 15.019 * * [simplify]: Extracting #0: cost 1 inf + 0 15.019 * * [simplify]: Extracting #1: cost 5 inf + 0 15.019 * * [simplify]: Extracting #2: cost 7 inf + 1 15.019 * * [simplify]: Extracting #3: cost 36 inf + 1 15.020 * * [simplify]: Extracting #4: cost 116 inf + 2 15.020 * * [simplify]: Extracting #5: cost 176 inf + 176 15.022 * * [simplify]: Extracting #6: cost 149 inf + 4286 15.026 * * [simplify]: Extracting #7: cost 55 inf + 26926 15.041 * * [simplify]: Extracting #8: cost 10 inf + 59882 15.062 * * [simplify]: Extracting #9: cost 0 inf + 67997 15.082 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 15.082 * [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)))) 15.083 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 15.083 * * [simplify]: iters left: 6 (13 enodes) 15.090 * * [simplify]: iters left: 5 (54 enodes) 15.109 * * [simplify]: iters left: 4 (87 enodes) 15.141 * * [simplify]: iters left: 3 (130 enodes) 15.185 * * [simplify]: iters left: 2 (211 enodes) 15.242 * * [simplify]: iters left: 1 (391 enodes) 15.389 * * [simplify]: Extracting #0: cost 1 inf + 0 15.389 * * [simplify]: Extracting #1: cost 4 inf + 0 15.389 * * [simplify]: Extracting #2: cost 8 inf + 0 15.389 * * [simplify]: Extracting #3: cost 31 inf + 83 15.389 * * [simplify]: Extracting #4: cost 111 inf + 84 15.390 * * [simplify]: Extracting #5: cost 159 inf + 384 15.392 * * [simplify]: Extracting #6: cost 115 inf + 6097 15.398 * * [simplify]: Extracting #7: cost 28 inf + 43760 15.409 * * [simplify]: Extracting #8: cost 0 inf + 63947 15.433 * * [simplify]: Extracting #9: cost 0 inf + 63744 15.454 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)) 15.455 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 1) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)))) 15.455 * * * * [progress]: [ 91 / 133 ] simplifiying candidate # 15.455 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 15.455 * * [simplify]: iters left: 6 (15 enodes) 15.464 * * [simplify]: iters left: 5 (62 enodes) 15.485 * * [simplify]: iters left: 4 (98 enodes) 15.516 * * [simplify]: iters left: 3 (136 enodes) 15.550 * * [simplify]: iters left: 2 (216 enodes) 15.596 * * [simplify]: iters left: 1 (397 enodes) 15.756 * * [simplify]: Extracting #0: cost 1 inf + 0 15.756 * * [simplify]: Extracting #1: cost 6 inf + 0 15.756 * * [simplify]: Extracting #2: cost 13 inf + 0 15.756 * * [simplify]: Extracting #3: cost 49 inf + 0 15.757 * * [simplify]: Extracting #4: cost 135 inf + 2 15.758 * * [simplify]: Extracting #5: cost 169 inf + 1450 15.763 * * [simplify]: Extracting #6: cost 113 inf + 10516 15.774 * * [simplify]: Extracting #7: cost 33 inf + 42135 15.785 * * [simplify]: Extracting #8: cost 0 inf + 71605 15.795 * * [simplify]: Extracting #9: cost 0 inf + 70150 15.810 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 15.810 * [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))))) 15.811 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k))) 15.811 * * [simplify]: iters left: 6 (14 enodes) 15.818 * * [simplify]: iters left: 5 (57 enodes) 15.828 * * [simplify]: iters left: 4 (91 enodes) 15.846 * * [simplify]: iters left: 3 (129 enodes) 15.870 * * [simplify]: iters left: 2 (209 enodes) 15.915 * * [simplify]: iters left: 1 (391 enodes) 16.047 * * [simplify]: Extracting #0: cost 1 inf + 0 16.047 * * [simplify]: Extracting #1: cost 4 inf + 0 16.047 * * [simplify]: Extracting #2: cost 9 inf + 0 16.047 * * [simplify]: Extracting #3: cost 45 inf + 0 16.048 * * [simplify]: Extracting #4: cost 130 inf + 164 16.050 * * [simplify]: Extracting #5: cost 152 inf + 2161 16.055 * * [simplify]: Extracting #6: cost 90 inf + 13844 16.069 * * [simplify]: Extracting #7: cost 32 inf + 43786 16.095 * * [simplify]: Extracting #8: cost 0 inf + 71295 16.119 * * [simplify]: Extracting #9: cost 0 inf + 69573 16.144 * * [simplify]: Extracting #10: cost 0 inf + 67529 16.168 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 16.169 * [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) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 16.169 * * * * [progress]: [ 92 / 133 ] simplifiying candidate # 16.169 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt k) (cbrt k)))) 16.169 * * [simplify]: iters left: 6 (15 enodes) 16.178 * * [simplify]: iters left: 5 (61 enodes) 16.198 * * [simplify]: iters left: 4 (95 enodes) 16.225 * * [simplify]: iters left: 3 (133 enodes) 16.251 * * [simplify]: iters left: 2 (213 enodes) 16.303 * * [simplify]: iters left: 1 (398 enodes) 16.483 * * [simplify]: Extracting #0: cost 1 inf + 0 16.483 * * [simplify]: Extracting #1: cost 4 inf + 0 16.483 * * [simplify]: Extracting #2: cost 10 inf + 0 16.483 * * [simplify]: Extracting #3: cost 46 inf + 0 16.484 * * [simplify]: Extracting #4: cost 130 inf + 285 16.484 * * [simplify]: Extracting #5: cost 163 inf + 1697 16.487 * * [simplify]: Extracting #6: cost 100 inf + 12127 16.496 * * [simplify]: Extracting #7: cost 39 inf + 34786 16.517 * * [simplify]: Extracting #8: cost 2 inf + 69009 16.538 * * [simplify]: Extracting #9: cost 0 inf + 69933 16.922 * * [simplify]: Extracting #10: cost 0 inf + 69454 16.943 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (fabs (cbrt k))) 16.943 * [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))))) 16.944 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k))) 16.944 * * [simplify]: iters left: 6 (14 enodes) 16.952 * * [simplify]: iters left: 5 (57 enodes) 16.972 * * [simplify]: iters left: 4 (91 enodes) 16.992 * * [simplify]: iters left: 3 (129 enodes) 17.016 * * [simplify]: iters left: 2 (209 enodes) 17.088 * * [simplify]: iters left: 1 (391 enodes) 17.251 * * [simplify]: Extracting #0: cost 1 inf + 0 17.251 * * [simplify]: Extracting #1: cost 4 inf + 0 17.251 * * [simplify]: Extracting #2: cost 9 inf + 0 17.251 * * [simplify]: Extracting #3: cost 45 inf + 0 17.252 * * [simplify]: Extracting #4: cost 130 inf + 204 17.254 * * [simplify]: Extracting #5: cost 152 inf + 2241 17.259 * * [simplify]: Extracting #6: cost 90 inf + 13924 17.273 * * [simplify]: Extracting #7: cost 32 inf + 43866 17.292 * * [simplify]: Extracting #8: cost 0 inf + 71375 17.304 * * [simplify]: Extracting #9: cost 0 inf + 69653 17.316 * * [simplify]: Extracting #10: cost 0 inf + 67609 17.333 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (cbrt k))) 17.333 * [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) (- 1/2 (/ k 2)))) (sqrt (cbrt k))))) 17.333 * * * * [progress]: [ 93 / 133 ] simplifiying candidate # 17.334 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 17.334 * * [simplify]: iters left: 6 (14 enodes) 17.341 * * [simplify]: iters left: 5 (57 enodes) 17.364 * * [simplify]: iters left: 4 (91 enodes) 17.382 * * [simplify]: iters left: 3 (129 enodes) 17.408 * * [simplify]: iters left: 2 (209 enodes) 17.492 * * [simplify]: iters left: 1 (391 enodes) 17.663 * * [simplify]: Extracting #0: cost 1 inf + 0 17.663 * * [simplify]: Extracting #1: cost 4 inf + 0 17.663 * * [simplify]: Extracting #2: cost 9 inf + 0 17.663 * * [simplify]: Extracting #3: cost 45 inf + 0 17.663 * * [simplify]: Extracting #4: cost 130 inf + 124 17.664 * * [simplify]: Extracting #5: cost 152 inf + 2081 17.667 * * [simplify]: Extracting #6: cost 90 inf + 13684 17.674 * * [simplify]: Extracting #7: cost 32 inf + 43626 17.699 * * [simplify]: Extracting #8: cost 0 inf + 71135 17.720 * * [simplify]: Extracting #9: cost 0 inf + 69413 17.733 * * [simplify]: Extracting #10: cost 0 inf + 67369 17.746 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 17.746 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 17.747 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 17.747 * * [simplify]: iters left: 6 (14 enodes) 17.754 * * [simplify]: iters left: 5 (57 enodes) 17.774 * * [simplify]: iters left: 4 (91 enodes) 17.803 * * [simplify]: iters left: 3 (129 enodes) 17.842 * * [simplify]: iters left: 2 (209 enodes) 17.888 * * [simplify]: iters left: 1 (391 enodes) 18.078 * * [simplify]: Extracting #0: cost 1 inf + 0 18.078 * * [simplify]: Extracting #1: cost 4 inf + 0 18.078 * * [simplify]: Extracting #2: cost 9 inf + 0 18.078 * * [simplify]: Extracting #3: cost 45 inf + 0 18.079 * * [simplify]: Extracting #4: cost 130 inf + 124 18.081 * * [simplify]: Extracting #5: cost 152 inf + 2081 18.086 * * [simplify]: Extracting #6: cost 90 inf + 13684 18.100 * * [simplify]: Extracting #7: cost 32 inf + 43626 18.122 * * [simplify]: Extracting #8: cost 0 inf + 71135 18.147 * * [simplify]: Extracting #9: cost 0 inf + 69413 18.169 * * [simplify]: Extracting #10: cost 0 inf + 67369 18.182 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 18.182 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 18.182 * * * * [progress]: [ 94 / 133 ] simplifiying candidate # 18.182 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) 18.182 * * [simplify]: iters left: 6 (13 enodes) 18.187 * * [simplify]: iters left: 5 (54 enodes) 18.198 * * [simplify]: iters left: 4 (88 enodes) 18.212 * * [simplify]: iters left: 3 (129 enodes) 18.238 * * [simplify]: iters left: 2 (210 enodes) 18.318 * * [simplify]: iters left: 1 (396 enodes) 18.495 * * [simplify]: Extracting #0: cost 1 inf + 0 18.495 * * [simplify]: Extracting #1: cost 5 inf + 0 18.495 * * [simplify]: Extracting #2: cost 37 inf + 1 18.496 * * [simplify]: Extracting #3: cost 132 inf + 2 18.496 * * [simplify]: Extracting #4: cost 179 inf + 177 18.497 * * [simplify]: Extracting #5: cost 161 inf + 1755 18.500 * * [simplify]: Extracting #6: cost 82 inf + 12697 18.507 * * [simplify]: Extracting #7: cost 24 inf + 50034 18.518 * * [simplify]: Extracting #8: cost 0 inf + 71007 18.531 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 18.531 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)))) 18.531 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 18.531 * * [simplify]: iters left: 6 (13 enodes) 18.538 * * [simplify]: iters left: 5 (54 enodes) 18.557 * * [simplify]: iters left: 4 (88 enodes) 18.585 * * [simplify]: iters left: 3 (127 enodes) 18.618 * * [simplify]: iters left: 2 (207 enodes) 18.683 * * [simplify]: iters left: 1 (391 enodes) 18.869 * * [simplify]: Extracting #0: cost 1 inf + 0 18.869 * * [simplify]: Extracting #1: cost 4 inf + 0 18.869 * * [simplify]: Extracting #2: cost 9 inf + 0 18.869 * * [simplify]: Extracting #3: cost 36 inf + 1 18.870 * * [simplify]: Extracting #4: cost 126 inf + 84 18.871 * * [simplify]: Extracting #5: cost 158 inf + 756 18.876 * * [simplify]: Extracting #6: cost 106 inf + 10983 18.884 * * [simplify]: Extracting #7: cost 23 inf + 48973 18.894 * * [simplify]: Extracting #8: cost 0 inf + 66568 18.908 * * [simplify]: Extracting #9: cost 0 inf + 65181 18.919 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)) 18.919 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)))) 18.919 * * * * [progress]: [ 95 / 133 ] simplifiying candidate # 18.919 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 18.920 * * [simplify]: iters left: 6 (14 enodes) 18.924 * * [simplify]: iters left: 5 (57 enodes) 18.938 * * [simplify]: iters left: 4 (91 enodes) 18.967 * * [simplify]: iters left: 3 (129 enodes) 19.010 * * [simplify]: iters left: 2 (209 enodes) 19.072 * * [simplify]: iters left: 1 (391 enodes) 19.246 * * [simplify]: Extracting #0: cost 1 inf + 0 19.246 * * [simplify]: Extracting #1: cost 4 inf + 0 19.246 * * [simplify]: Extracting #2: cost 9 inf + 0 19.246 * * [simplify]: Extracting #3: cost 45 inf + 0 19.246 * * [simplify]: Extracting #4: cost 130 inf + 124 19.247 * * [simplify]: Extracting #5: cost 152 inf + 2081 19.250 * * [simplify]: Extracting #6: cost 90 inf + 13684 19.256 * * [simplify]: Extracting #7: cost 32 inf + 43626 19.267 * * [simplify]: Extracting #8: cost 0 inf + 71135 19.285 * * [simplify]: Extracting #9: cost 0 inf + 69413 19.310 * * [simplify]: Extracting #10: cost 0 inf + 67369 19.335 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 19.335 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 19.335 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 19.335 * * [simplify]: iters left: 6 (14 enodes) 19.343 * * [simplify]: iters left: 5 (57 enodes) 19.366 * * [simplify]: iters left: 4 (91 enodes) 19.394 * * [simplify]: iters left: 3 (129 enodes) 19.438 * * [simplify]: iters left: 2 (209 enodes) 19.523 * * [simplify]: iters left: 1 (391 enodes) 19.690 * * [simplify]: Extracting #0: cost 1 inf + 0 19.690 * * [simplify]: Extracting #1: cost 4 inf + 0 19.690 * * [simplify]: Extracting #2: cost 9 inf + 0 19.690 * * [simplify]: Extracting #3: cost 45 inf + 0 19.691 * * [simplify]: Extracting #4: cost 130 inf + 124 19.692 * * [simplify]: Extracting #5: cost 152 inf + 2081 19.694 * * [simplify]: Extracting #6: cost 90 inf + 13684 19.701 * * [simplify]: Extracting #7: cost 32 inf + 43626 19.725 * * [simplify]: Extracting #8: cost 0 inf + 71135 19.742 * * [simplify]: Extracting #9: cost 0 inf + 69413 19.755 * * [simplify]: Extracting #10: cost 0 inf + 67369 19.767 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 19.767 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 19.767 * * * * [progress]: [ 96 / 133 ] simplifiying candidate # 19.768 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) 19.768 * * [simplify]: iters left: 6 (12 enodes) 19.774 * * [simplify]: iters left: 5 (49 enodes) 19.791 * * [simplify]: iters left: 4 (83 enodes) 19.810 * * [simplify]: iters left: 3 (128 enodes) 19.841 * * [simplify]: iters left: 2 (214 enodes) 19.918 * * [simplify]: iters left: 1 (396 enodes) 20.141 * * [simplify]: Extracting #0: cost 1 inf + 0 20.141 * * [simplify]: Extracting #1: cost 5 inf + 0 20.141 * * [simplify]: Extracting #2: cost 37 inf + 1 20.142 * * [simplify]: Extracting #3: cost 138 inf + 2 20.143 * * [simplify]: Extracting #4: cost 176 inf + 177 20.145 * * [simplify]: Extracting #5: cost 158 inf + 1758 20.152 * * [simplify]: Extracting #6: cost 75 inf + 23439 20.162 * * [simplify]: Extracting #7: cost 3 inf + 69089 20.173 * * [simplify]: Extracting #8: cost 0 inf + 70821 20.186 * * [simplify]: Extracting #9: cost 0 inf + 70600 20.196 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) 20.197 * [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)))) 20.197 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 20.197 * * [simplify]: iters left: 6 (13 enodes) 20.201 * * [simplify]: iters left: 5 (54 enodes) 20.211 * * [simplify]: iters left: 4 (88 enodes) 20.238 * * [simplify]: iters left: 3 (127 enodes) 20.281 * * [simplify]: iters left: 2 (207 enodes) 20.363 * * [simplify]: iters left: 1 (391 enodes) 20.547 * * [simplify]: Extracting #0: cost 1 inf + 0 20.547 * * [simplify]: Extracting #1: cost 4 inf + 0 20.547 * * [simplify]: Extracting #2: cost 9 inf + 0 20.547 * * [simplify]: Extracting #3: cost 36 inf + 1 20.548 * * [simplify]: Extracting #4: cost 126 inf + 84 20.549 * * [simplify]: Extracting #5: cost 158 inf + 756 20.554 * * [simplify]: Extracting #6: cost 106 inf + 10983 20.568 * * [simplify]: Extracting #7: cost 23 inf + 48973 20.586 * * [simplify]: Extracting #8: cost 0 inf + 66568 20.596 * * [simplify]: Extracting #9: cost 0 inf + 65181 20.608 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)) 20.608 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)))) 20.608 * * * * [progress]: [ 97 / 133 ] simplifiying candidate # 20.608 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 20.608 * * [simplify]: iters left: 6 (6 enodes) 20.610 * * [simplify]: iters left: 5 (22 enodes) 20.614 * * [simplify]: iters left: 4 (26 enodes) 20.623 * * [simplify]: Extracting #0: cost 1 inf + 0 20.623 * * [simplify]: Extracting #1: cost 6 inf + 0 20.623 * * [simplify]: Extracting #2: cost 9 inf + 1 20.623 * * [simplify]: Extracting #3: cost 11 inf + 1 20.623 * * [simplify]: Extracting #4: cost 8 inf + 84 20.623 * * [simplify]: Extracting #5: cost 2 inf + 1013 20.624 * * [simplify]: Extracting #6: cost 0 inf + 1376 20.624 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 20.624 * [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))))) 20.625 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt k))) 20.625 * * [simplify]: iters left: 6 (13 enodes) 20.632 * * [simplify]: iters left: 5 (54 enodes) 20.652 * * [simplify]: iters left: 4 (89 enodes) 20.667 * * [simplify]: iters left: 3 (138 enodes) 20.700 * * [simplify]: iters left: 2 (235 enodes) 20.793 * * [simplify]: iters left: 1 (482 enodes) 21.030 * * [simplify]: Extracting #0: cost 1 inf + 0 21.030 * * [simplify]: Extracting #1: cost 47 inf + 0 21.031 * * [simplify]: Extracting #2: cost 151 inf + 0 21.031 * * [simplify]: Extracting #3: cost 236 inf + 3 21.032 * * [simplify]: Extracting #4: cost 237 inf + 1170 21.036 * * [simplify]: Extracting #5: cost 145 inf + 22799 21.051 * * [simplify]: Extracting #6: cost 48 inf + 90997 21.082 * * [simplify]: Extracting #7: cost 0 inf + 135182 21.122 * * [simplify]: Extracting #8: cost 0 inf + 130350 21.160 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 21.161 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (cbrt (sqrt k))))) 21.161 * * * * [progress]: [ 98 / 133 ] simplifiying candidate # 21.161 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt k) (cbrt k)))) 21.161 * * [simplify]: iters left: 6 (6 enodes) 21.164 * * [simplify]: iters left: 5 (21 enodes) 21.172 * * [simplify]: iters left: 4 (23 enodes) 21.179 * * [simplify]: Extracting #0: cost 1 inf + 0 21.180 * * [simplify]: Extracting #1: cost 4 inf + 0 21.180 * * [simplify]: Extracting #2: cost 6 inf + 1 21.180 * * [simplify]: Extracting #3: cost 9 inf + 1 21.180 * * [simplify]: Extracting #4: cost 8 inf + 2 21.180 * * [simplify]: Extracting #5: cost 1 inf + 810 21.180 * * [simplify]: Extracting #6: cost 0 inf + 972 21.180 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 21.181 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 21.181 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt k))) 21.181 * * [simplify]: iters left: 6 (13 enodes) 21.188 * * [simplify]: iters left: 5 (54 enodes) 21.209 * * [simplify]: iters left: 4 (89 enodes) 21.238 * * [simplify]: iters left: 3 (138 enodes) 21.285 * * [simplify]: iters left: 2 (235 enodes) 21.360 * * [simplify]: iters left: 1 (482 enodes) 21.605 * * [simplify]: Extracting #0: cost 1 inf + 0 21.605 * * [simplify]: Extracting #1: cost 47 inf + 0 21.605 * * [simplify]: Extracting #2: cost 151 inf + 0 21.606 * * [simplify]: Extracting #3: cost 236 inf + 3 21.607 * * [simplify]: Extracting #4: cost 237 inf + 1210 21.611 * * [simplify]: Extracting #5: cost 145 inf + 22879 21.627 * * [simplify]: Extracting #6: cost 48 inf + 91077 21.646 * * [simplify]: Extracting #7: cost 0 inf + 135262 21.680 * * [simplify]: Extracting #8: cost 0 inf + 130430 21.720 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (cbrt k))) 21.721 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (cbrt k))))) 21.721 * * * * [progress]: [ 99 / 133 ] simplifiying candidate # 21.721 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 21.721 * * [simplify]: iters left: 4 (5 enodes) 21.724 * * [simplify]: iters left: 3 (17 enodes) 21.730 * * [simplify]: iters left: 2 (19 enodes) 21.736 * * [simplify]: Extracting #0: cost 1 inf + 0 21.737 * * [simplify]: Extracting #1: cost 4 inf + 0 21.737 * * [simplify]: Extracting #2: cost 5 inf + 1 21.737 * * [simplify]: Extracting #3: cost 7 inf + 1 21.737 * * [simplify]: Extracting #4: cost 0 inf + 490 21.737 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 21.737 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 21.737 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) 21.738 * * [simplify]: iters left: 6 (13 enodes) 21.745 * * [simplify]: iters left: 5 (54 enodes) 21.764 * * [simplify]: iters left: 4 (89 enodes) 21.791 * * [simplify]: iters left: 3 (138 enodes) 21.818 * * [simplify]: iters left: 2 (235 enodes) 21.884 * * [simplify]: iters left: 1 (482 enodes) 22.114 * * [simplify]: Extracting #0: cost 1 inf + 0 22.114 * * [simplify]: Extracting #1: cost 47 inf + 0 22.115 * * [simplify]: Extracting #2: cost 151 inf + 0 22.116 * * [simplify]: Extracting #3: cost 236 inf + 3 22.118 * * [simplify]: Extracting #4: cost 237 inf + 1090 22.126 * * [simplify]: Extracting #5: cost 145 inf + 22239 22.149 * * [simplify]: Extracting #6: cost 48 inf + 88677 22.171 * * [simplify]: Extracting #7: cost 0 inf + 131862 22.204 * * [simplify]: Extracting #8: cost 0 inf + 127030 22.243 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 22.243 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 22.243 * * * * [progress]: [ 100 / 133 ] simplifiying candidate # 22.244 * [simplify]: Simplifying (/ 1 (sqrt 1)) 22.244 * * [simplify]: iters left: 3 (3 enodes) 22.250 * * [simplify]: iters left: 2 (11 enodes) 22.253 * * [simplify]: iters left: 1 (13 enodes) 22.256 * * [simplify]: Extracting #0: cost 1 inf + 0 22.256 * * [simplify]: Extracting #1: cost 0 inf + 1 22.256 * [simplify]: Simplified to 1 22.256 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))) 22.257 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 22.257 * * [simplify]: iters left: 6 (12 enodes) 22.264 * * [simplify]: iters left: 5 (51 enodes) 22.281 * * [simplify]: iters left: 4 (86 enodes) 22.312 * * [simplify]: iters left: 3 (135 enodes) 22.338 * * [simplify]: iters left: 2 (232 enodes) 22.413 * * [simplify]: iters left: 1 (483 enodes) 22.640 * * [simplify]: Extracting #0: cost 1 inf + 0 22.640 * * [simplify]: Extracting #1: cost 47 inf + 0 22.641 * * [simplify]: Extracting #2: cost 159 inf + 0 22.643 * * [simplify]: Extracting #3: cost 245 inf + 4 22.645 * * [simplify]: Extracting #4: cost 244 inf + 1302 22.652 * * [simplify]: Extracting #5: cost 169 inf + 14749 22.663 * * [simplify]: Extracting #6: cost 82 inf + 69034 22.685 * * [simplify]: Extracting #7: cost 3 inf + 137406 22.724 * * [simplify]: Extracting #8: cost 0 inf + 135814 22.757 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) 22.757 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))) 22.758 * * * * [progress]: [ 101 / 133 ] simplifiying candidate # 22.758 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 22.758 * * [simplify]: iters left: 4 (5 enodes) 22.760 * * [simplify]: iters left: 3 (17 enodes) 22.762 * * [simplify]: iters left: 2 (19 enodes) 22.765 * * [simplify]: Extracting #0: cost 1 inf + 0 22.765 * * [simplify]: Extracting #1: cost 4 inf + 0 22.766 * * [simplify]: Extracting #2: cost 5 inf + 1 22.766 * * [simplify]: Extracting #3: cost 7 inf + 1 22.766 * * [simplify]: Extracting #4: cost 0 inf + 490 22.766 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 22.766 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 22.766 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) 22.766 * * [simplify]: iters left: 6 (13 enodes) 22.770 * * [simplify]: iters left: 5 (54 enodes) 22.781 * * [simplify]: iters left: 4 (89 enodes) 22.812 * * [simplify]: iters left: 3 (138 enodes) 22.847 * * [simplify]: iters left: 2 (235 enodes) 22.918 * * [simplify]: iters left: 1 (482 enodes) 23.141 * * [simplify]: Extracting #0: cost 1 inf + 0 23.141 * * [simplify]: Extracting #1: cost 47 inf + 0 23.142 * * [simplify]: Extracting #2: cost 151 inf + 0 23.142 * * [simplify]: Extracting #3: cost 236 inf + 3 23.144 * * [simplify]: Extracting #4: cost 237 inf + 1090 23.147 * * [simplify]: Extracting #5: cost 145 inf + 22239 23.159 * * [simplify]: Extracting #6: cost 48 inf + 88677 23.186 * * [simplify]: Extracting #7: cost 0 inf + 131862 23.206 * * [simplify]: Extracting #8: cost 0 inf + 127030 23.239 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 23.239 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 23.239 * * * * [progress]: [ 102 / 133 ] simplifiying candidate # 23.240 * [simplify]: Simplifying (/ 1 1) 23.240 * * [simplify]: iters left: 2 (2 enodes) 23.241 * * [simplify]: iters left: 1 (6 enodes) 23.243 * * [simplify]: Extracting #0: cost 1 inf + 0 23.243 * * [simplify]: Extracting #1: cost 0 inf + 1 23.244 * [simplify]: Simplified to 1 23.244 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))) 23.244 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 23.244 * * [simplify]: iters left: 6 (12 enodes) 23.251 * * [simplify]: iters left: 5 (51 enodes) 23.268 * * [simplify]: iters left: 4 (86 enodes) 23.283 * * [simplify]: iters left: 3 (135 enodes) 23.315 * * [simplify]: iters left: 2 (232 enodes) 23.405 * * [simplify]: iters left: 1 (483 enodes) 23.657 * * [simplify]: Extracting #0: cost 1 inf + 0 23.657 * * [simplify]: Extracting #1: cost 47 inf + 0 23.657 * * [simplify]: Extracting #2: cost 159 inf + 0 23.658 * * [simplify]: Extracting #3: cost 245 inf + 4 23.659 * * [simplify]: Extracting #4: cost 244 inf + 1302 23.663 * * [simplify]: Extracting #5: cost 169 inf + 14749 23.673 * * [simplify]: Extracting #6: cost 82 inf + 69034 23.703 * * [simplify]: Extracting #7: cost 3 inf + 137406 23.725 * * [simplify]: Extracting #8: cost 0 inf + 135814 23.754 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) 23.754 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))) 23.754 * * * * [progress]: [ 103 / 133 ] simplifiying candidate # 23.754 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 23.754 * * [simplify]: iters left: 6 (15 enodes) 23.759 * * [simplify]: iters left: 5 (65 enodes) 23.770 * * [simplify]: iters left: 4 (109 enodes) 23.801 * * [simplify]: iters left: 3 (188 enodes) 23.851 * * [simplify]: iters left: 2 (375 enodes) 23.987 * * [simplify]: Extracting #0: cost 1 inf + 0 23.988 * * [simplify]: Extracting #1: cost 55 inf + 0 23.988 * * [simplify]: Extracting #2: cost 146 inf + 0 23.990 * * [simplify]: Extracting #3: cost 227 inf + 2 23.992 * * [simplify]: Extracting #4: cost 220 inf + 2910 23.996 * * [simplify]: Extracting #5: cost 140 inf + 26174 24.011 * * [simplify]: Extracting #6: cost 38 inf + 94840 24.028 * * [simplify]: Extracting #7: cost 1 inf + 125673 24.058 * * [simplify]: Extracting #8: cost 0 inf + 126032 24.075 * * [simplify]: Extracting #9: cost 0 inf + 126030 24.101 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 24.101 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt k))))) 24.102 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt k))) 24.102 * * [simplify]: iters left: 6 (14 enodes) 24.110 * * [simplify]: iters left: 5 (60 enodes) 24.133 * * [simplify]: iters left: 4 (98 enodes) 24.166 * * [simplify]: iters left: 3 (160 enodes) 24.207 * * [simplify]: iters left: 2 (297 enodes) 24.312 * * [simplify]: Extracting #0: cost 1 inf + 0 24.313 * * [simplify]: Extracting #1: cost 30 inf + 0 24.313 * * [simplify]: Extracting #2: cost 74 inf + 0 24.314 * * [simplify]: Extracting #3: cost 138 inf + 2 24.315 * * [simplify]: Extracting #4: cost 144 inf + 556 24.318 * * [simplify]: Extracting #5: cost 106 inf + 4987 24.326 * * [simplify]: Extracting #6: cost 39 inf + 33624 24.338 * * [simplify]: Extracting #7: cost 1 inf + 60246 24.346 * * [simplify]: Extracting #8: cost 0 inf + 60309 24.354 * * [simplify]: Extracting #9: cost 0 inf + 60047 24.362 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (cbrt (sqrt k))) 24.362 * [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))))) 24.362 * * * * [progress]: [ 104 / 133 ] simplifiying candidate # 24.362 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt k) (cbrt k)))) 24.362 * * [simplify]: iters left: 6 (15 enodes) 24.370 * * [simplify]: iters left: 5 (64 enodes) 24.385 * * [simplify]: iters left: 4 (102 enodes) 24.403 * * [simplify]: iters left: 3 (164 enodes) 24.446 * * [simplify]: iters left: 2 (303 enodes) 24.537 * * [simplify]: Extracting #0: cost 1 inf + 0 24.537 * * [simplify]: Extracting #1: cost 30 inf + 0 24.537 * * [simplify]: Extracting #2: cost 74 inf + 0 24.538 * * [simplify]: Extracting #3: cost 142 inf + 2 24.539 * * [simplify]: Extracting #4: cost 149 inf + 849 24.543 * * [simplify]: Extracting #5: cost 88 inf + 13540 24.552 * * [simplify]: Extracting #6: cost 34 inf + 35918 24.567 * * [simplify]: Extracting #7: cost 0 inf + 59557 24.587 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (fabs (cbrt k))) 24.587 * [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))))) 24.587 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt k))) 24.587 * * [simplify]: iters left: 6 (14 enodes) 24.596 * * [simplify]: iters left: 5 (60 enodes) 24.613 * * [simplify]: iters left: 4 (98 enodes) 24.630 * * [simplify]: iters left: 3 (160 enodes) 24.679 * * [simplify]: iters left: 2 (297 enodes) 24.755 * * [simplify]: Extracting #0: cost 1 inf + 0 24.755 * * [simplify]: Extracting #1: cost 30 inf + 0 24.755 * * [simplify]: Extracting #2: cost 74 inf + 0 24.756 * * [simplify]: Extracting #3: cost 138 inf + 2 24.756 * * [simplify]: Extracting #4: cost 144 inf + 556 24.758 * * [simplify]: Extracting #5: cost 106 inf + 5067 24.762 * * [simplify]: Extracting #6: cost 39 inf + 33704 24.769 * * [simplify]: Extracting #7: cost 1 inf + 60326 24.776 * * [simplify]: Extracting #8: cost 0 inf + 60389 24.795 * * [simplify]: Extracting #9: cost 0 inf + 60127 24.804 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (cbrt k))) 24.804 * [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))))) 24.804 * * * * [progress]: [ 105 / 133 ] simplifiying candidate # 24.804 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 24.804 * * [simplify]: iters left: 6 (14 enodes) 24.808 * * [simplify]: iters left: 5 (60 enodes) 24.819 * * [simplify]: iters left: 4 (98 enodes) 24.845 * * [simplify]: iters left: 3 (160 enodes) 24.879 * * [simplify]: iters left: 2 (297 enodes) 24.963 * * [simplify]: Extracting #0: cost 1 inf + 0 24.963 * * [simplify]: Extracting #1: cost 30 inf + 0 24.964 * * [simplify]: Extracting #2: cost 74 inf + 0 24.964 * * [simplify]: Extracting #3: cost 138 inf + 2 24.966 * * [simplify]: Extracting #4: cost 144 inf + 556 24.968 * * [simplify]: Extracting #5: cost 106 inf + 4907 24.976 * * [simplify]: Extracting #6: cost 39 inf + 32944 24.994 * * [simplify]: Extracting #7: cost 1 inf + 58806 25.010 * * [simplify]: Extracting #8: cost 0 inf + 58829 25.026 * * [simplify]: Extracting #9: cost 0 inf + 58567 25.042 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 25.042 * [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))))) 25.042 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 25.043 * * [simplify]: iters left: 6 (14 enodes) 25.051 * * [simplify]: iters left: 5 (60 enodes) 25.072 * * [simplify]: iters left: 4 (98 enodes) 25.106 * * [simplify]: iters left: 3 (160 enodes) 25.171 * * [simplify]: iters left: 2 (297 enodes) 25.270 * * [simplify]: Extracting #0: cost 1 inf + 0 25.270 * * [simplify]: Extracting #1: cost 30 inf + 0 25.270 * * [simplify]: Extracting #2: cost 74 inf + 0 25.273 * * [simplify]: Extracting #3: cost 138 inf + 2 25.273 * * [simplify]: Extracting #4: cost 144 inf + 556 25.275 * * [simplify]: Extracting #5: cost 106 inf + 4907 25.278 * * [simplify]: Extracting #6: cost 39 inf + 32944 25.286 * * [simplify]: Extracting #7: cost 1 inf + 58806 25.293 * * [simplify]: Extracting #8: cost 0 inf + 58829 25.302 * * [simplify]: Extracting #9: cost 0 inf + 58567 25.317 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 25.318 * [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))))) 25.318 * * * * [progress]: [ 106 / 133 ] simplifiying candidate # 25.318 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) 25.318 * * [simplify]: iters left: 6 (13 enodes) 25.327 * * [simplify]: iters left: 5 (57 enodes) 25.347 * * [simplify]: iters left: 4 (93 enodes) 25.376 * * [simplify]: iters left: 3 (153 enodes) 25.410 * * [simplify]: iters left: 2 (288 enodes) 25.499 * * [simplify]: Extracting #0: cost 1 inf + 0 25.500 * * [simplify]: Extracting #1: cost 26 inf + 0 25.500 * * [simplify]: Extracting #2: cost 88 inf + 2 25.500 * * [simplify]: Extracting #3: cost 135 inf + 9 25.501 * * [simplify]: Extracting #4: cost 128 inf + 971 25.503 * * [simplify]: Extracting #5: cost 60 inf + 9259 25.507 * * [simplify]: Extracting #6: cost 17 inf + 30170 25.517 * * [simplify]: Extracting #7: cost 0 inf + 43695 25.530 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/4 (- 1 k))) 25.530 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 25.531 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)) 25.531 * * [simplify]: iters left: 6 (13 enodes) 25.539 * * [simplify]: iters left: 5 (57 enodes) 25.558 * * [simplify]: iters left: 4 (95 enodes) 25.581 * * [simplify]: iters left: 3 (157 enodes) 25.634 * * [simplify]: iters left: 2 (295 enodes) 25.750 * * [simplify]: Extracting #0: cost 1 inf + 0 25.750 * * [simplify]: Extracting #1: cost 30 inf + 0 25.751 * * [simplify]: Extracting #2: cost 71 inf + 0 25.751 * * [simplify]: Extracting #3: cost 134 inf + 3 25.752 * * [simplify]: Extracting #4: cost 132 inf + 1551 25.758 * * [simplify]: Extracting #5: cost 70 inf + 17264 25.771 * * [simplify]: Extracting #6: cost 7 inf + 47462 25.787 * * [simplify]: Extracting #7: cost 0 inf + 50096 25.803 * * [simplify]: Extracting #8: cost 0 inf + 50056 25.820 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt k)) 25.820 * [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)))) 25.820 * * * * [progress]: [ 107 / 133 ] simplifiying candidate # 25.820 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 25.821 * * [simplify]: iters left: 6 (14 enodes) 25.828 * * [simplify]: iters left: 5 (60 enodes) 25.848 * * [simplify]: iters left: 4 (98 enodes) 25.881 * * [simplify]: iters left: 3 (160 enodes) 25.933 * * [simplify]: iters left: 2 (297 enodes) 26.035 * * [simplify]: Extracting #0: cost 1 inf + 0 26.035 * * [simplify]: Extracting #1: cost 30 inf + 0 26.036 * * [simplify]: Extracting #2: cost 74 inf + 0 26.036 * * [simplify]: Extracting #3: cost 138 inf + 2 26.036 * * [simplify]: Extracting #4: cost 144 inf + 556 26.038 * * [simplify]: Extracting #5: cost 106 inf + 4907 26.042 * * [simplify]: Extracting #6: cost 39 inf + 32944 26.049 * * [simplify]: Extracting #7: cost 1 inf + 58806 26.057 * * [simplify]: Extracting #8: cost 0 inf + 58829 26.065 * * [simplify]: Extracting #9: cost 0 inf + 58567 26.073 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 26.073 * [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))))) 26.074 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 26.074 * * [simplify]: iters left: 6 (14 enodes) 26.078 * * [simplify]: iters left: 5 (60 enodes) 26.089 * * [simplify]: iters left: 4 (98 enodes) 26.110 * * [simplify]: iters left: 3 (160 enodes) 26.141 * * [simplify]: iters left: 2 (297 enodes) 26.201 * * [simplify]: Extracting #0: cost 1 inf + 0 26.201 * * [simplify]: Extracting #1: cost 30 inf + 0 26.201 * * [simplify]: Extracting #2: cost 74 inf + 0 26.201 * * [simplify]: Extracting #3: cost 138 inf + 2 26.202 * * [simplify]: Extracting #4: cost 144 inf + 556 26.203 * * [simplify]: Extracting #5: cost 106 inf + 4907 26.207 * * [simplify]: Extracting #6: cost 39 inf + 32944 26.215 * * [simplify]: Extracting #7: cost 1 inf + 58806 26.222 * * [simplify]: Extracting #8: cost 0 inf + 58829 26.230 * * [simplify]: Extracting #9: cost 0 inf + 58567 26.239 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 26.239 * [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))))) 26.240 * * * * [progress]: [ 108 / 133 ] simplifiying candidate # 26.240 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) 26.240 * * [simplify]: iters left: 6 (12 enodes) 26.247 * * [simplify]: iters left: 5 (52 enodes) 26.265 * * [simplify]: iters left: 4 (90 enodes) 26.299 * * [simplify]: iters left: 3 (158 enodes) 26.356 * * [simplify]: iters left: 2 (296 enodes) 26.431 * * [simplify]: Extracting #0: cost 1 inf + 0 26.432 * * [simplify]: Extracting #1: cost 29 inf + 0 26.432 * * [simplify]: Extracting #2: cost 109 inf + 2 26.432 * * [simplify]: Extracting #3: cost 157 inf + 219 26.433 * * [simplify]: Extracting #4: cost 153 inf + 846 26.435 * * [simplify]: Extracting #5: cost 93 inf + 8062 26.439 * * [simplify]: Extracting #6: cost 42 inf + 29876 26.447 * * [simplify]: Extracting #7: cost 3 inf + 59415 26.455 * * [simplify]: Extracting #8: cost 0 inf + 61697 26.468 * * [simplify]: Extracting #9: cost 0 inf + 61574 26.485 * * [simplify]: Extracting #10: cost 0 inf + 61533 26.495 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/4 (- 1 k))) 26.495 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 26.495 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)) 26.495 * * [simplify]: iters left: 6 (13 enodes) 26.499 * * [simplify]: iters left: 5 (57 enodes) 26.510 * * [simplify]: iters left: 4 (95 enodes) 26.527 * * [simplify]: iters left: 3 (157 enodes) 26.573 * * [simplify]: iters left: 2 (295 enodes) 26.686 * * [simplify]: Extracting #0: cost 1 inf + 0 26.686 * * [simplify]: Extracting #1: cost 30 inf + 0 26.687 * * [simplify]: Extracting #2: cost 71 inf + 0 26.687 * * [simplify]: Extracting #3: cost 134 inf + 3 26.689 * * [simplify]: Extracting #4: cost 132 inf + 1551 26.694 * * [simplify]: Extracting #5: cost 70 inf + 17264 26.710 * * [simplify]: Extracting #6: cost 7 inf + 47462 26.728 * * [simplify]: Extracting #7: cost 0 inf + 50096 26.743 * * [simplify]: Extracting #8: cost 0 inf + 50056 26.754 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt k)) 26.754 * [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)))) 26.754 * * * * [progress]: [ 109 / 133 ] simplifiying candidate # 26.754 * * * * [progress]: [ 110 / 133 ] simplifiying candidate # 26.754 * * * * [progress]: [ 111 / 133 ] simplifiying candidate # 26.755 * * * * [progress]: [ 112 / 133 ] simplifiying candidate # 26.755 * [simplify]: Simplifying (cbrt (sqrt k)) 26.755 * * [simplify]: iters left: 2 (3 enodes) 26.755 * * [simplify]: iters left: 1 (9 enodes) 26.757 * * [simplify]: Extracting #0: cost 1 inf + 0 26.757 * * [simplify]: Extracting #1: cost 3 inf + 0 26.757 * * [simplify]: Extracting #2: cost 5 inf + 0 26.757 * * [simplify]: Extracting #3: cost 4 inf + 1 26.757 * * [simplify]: Extracting #4: cost 0 inf + 325 26.757 * [simplify]: Simplified to (cbrt (sqrt k)) 26.757 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k)))) 26.757 * * * * [progress]: [ 113 / 133 ] simplifiying candidate # 26.757 * [simplify]: Simplifying (sqrt (cbrt k)) 26.757 * * [simplify]: iters left: 2 (3 enodes) 26.758 * * [simplify]: iters left: 1 (9 enodes) 26.759 * * [simplify]: Extracting #0: cost 1 inf + 0 26.759 * * [simplify]: Extracting #1: cost 3 inf + 0 26.759 * * [simplify]: Extracting #2: cost 5 inf + 0 26.759 * * [simplify]: Extracting #3: cost 4 inf + 1 26.759 * * [simplify]: Extracting #4: cost 0 inf + 405 26.760 * [simplify]: Simplified to (sqrt (cbrt k)) 26.760 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k)))) 26.760 * * * * [progress]: [ 114 / 133 ] simplifiying candidate # 26.760 * [simplify]: Simplifying (sqrt (sqrt k)) 26.760 * * [simplify]: iters left: 2 (3 enodes) 26.760 * * [simplify]: iters left: 1 (9 enodes) 26.762 * * [simplify]: Extracting #0: cost 1 inf + 0 26.762 * * [simplify]: Extracting #1: cost 3 inf + 0 26.762 * * [simplify]: Extracting #2: cost 5 inf + 0 26.762 * * [simplify]: Extracting #3: cost 4 inf + 1 26.762 * * [simplify]: Extracting #4: cost 0 inf + 245 26.762 * [simplify]: Simplified to (sqrt (sqrt k)) 26.762 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 26.762 * * * * [progress]: [ 115 / 133 ] simplifiying candidate # 26.762 * [simplify]: Simplifying (sqrt k) 26.762 * * [simplify]: iters left: 1 (2 enodes) 26.763 * * [simplify]: Extracting #0: cost 1 inf + 0 26.763 * * [simplify]: Extracting #1: cost 3 inf + 0 26.763 * * [simplify]: Extracting #2: cost 2 inf + 1 26.763 * * [simplify]: Extracting #3: cost 0 inf + 83 26.763 * [simplify]: Simplified to (sqrt k) 26.763 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt 1)) (sqrt k))) 26.763 * * * * [progress]: [ 116 / 133 ] simplifiying candidate # 26.763 * [simplify]: Simplifying (sqrt (sqrt k)) 26.763 * * [simplify]: iters left: 2 (3 enodes) 26.764 * * [simplify]: iters left: 1 (9 enodes) 26.765 * * [simplify]: Extracting #0: cost 1 inf + 0 26.765 * * [simplify]: Extracting #1: cost 3 inf + 0 26.765 * * [simplify]: Extracting #2: cost 5 inf + 0 26.765 * * [simplify]: Extracting #3: cost 4 inf + 1 26.765 * * [simplify]: Extracting #4: cost 0 inf + 245 26.765 * [simplify]: Simplified to (sqrt (sqrt k)) 26.765 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 26.765 * * * * [progress]: [ 117 / 133 ] simplifiying candidate # 26.765 * [simplify]: Simplifying (sqrt k) 26.765 * * [simplify]: iters left: 1 (2 enodes) 26.766 * * [simplify]: Extracting #0: cost 1 inf + 0 26.766 * * [simplify]: Extracting #1: cost 3 inf + 0 26.766 * * [simplify]: Extracting #2: cost 2 inf + 1 26.766 * * [simplify]: Extracting #3: cost 0 inf + 83 26.766 * [simplify]: Simplified to (sqrt k) 26.766 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) (sqrt k))) 26.766 * * * * [progress]: [ 118 / 133 ] simplifiying candidate # 26.766 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 26.766 * * [simplify]: iters left: 5 (7 enodes) 26.769 * * [simplify]: iters left: 4 (32 enodes) 26.775 * * [simplify]: iters left: 3 (57 enodes) 26.791 * * [simplify]: iters left: 2 (90 enodes) 26.810 * * [simplify]: iters left: 1 (170 enodes) 26.875 * * [simplify]: Extracting #0: cost 1 inf + 0 26.875 * * [simplify]: Extracting #1: cost 13 inf + 0 26.876 * * [simplify]: Extracting #2: cost 54 inf + 2 26.876 * * [simplify]: Extracting #3: cost 89 inf + 6 26.877 * * [simplify]: Extracting #4: cost 78 inf + 1344 26.881 * * [simplify]: Extracting #5: cost 20 inf + 14664 26.888 * * [simplify]: Extracting #6: cost 1 inf + 22045 26.895 * * [simplify]: Extracting #7: cost 0 inf + 21300 26.904 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 26.904 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 26.904 * * * * [progress]: [ 119 / 133 ] simplifiying candidate # 26.904 * [simplify]: Simplifying (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 26.905 * * [simplify]: iters left: 6 (12 enodes) 26.911 * * [simplify]: iters left: 5 (51 enodes) 26.924 * * [simplify]: iters left: 4 (84 enodes) 26.946 * * [simplify]: iters left: 3 (127 enodes) 26.986 * * [simplify]: iters left: 2 (212 enodes) 27.046 * * [simplify]: iters left: 1 (389 enodes) 27.217 * * [simplify]: Extracting #0: cost 1 inf + 0 27.217 * * [simplify]: Extracting #1: cost 3 inf + 0 27.217 * * [simplify]: Extracting #2: cost 5 inf + 0 27.217 * * [simplify]: Extracting #3: cost 34 inf + 0 27.218 * * [simplify]: Extracting #4: cost 117 inf + 1 27.219 * * [simplify]: Extracting #5: cost 168 inf + 176 27.220 * * [simplify]: Extracting #6: cost 165 inf + 767 27.225 * * [simplify]: Extracting #7: cost 98 inf + 11266 27.240 * * [simplify]: Extracting #8: cost 10 inf + 59756 27.260 * * [simplify]: Extracting #9: cost 0 inf + 68459 27.285 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 27.285 * [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)))))) 27.285 * * * * [progress]: [ 120 / 133 ] simplifiying candidate # 27.286 * [simplify]: Simplifying (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 27.286 * * [simplify]: iters left: 6 (11 enodes) 27.291 * * [simplify]: iters left: 5 (48 enodes) 27.299 * * [simplify]: iters left: 4 (78 enodes) 27.313 * * [simplify]: iters left: 3 (122 enodes) 27.352 * * [simplify]: iters left: 2 (223 enodes) 27.412 * * [simplify]: iters left: 1 (410 enodes) 27.568 * * [simplify]: Extracting #0: cost 1 inf + 0 27.568 * * [simplify]: Extracting #1: cost 4 inf + 0 27.568 * * [simplify]: Extracting #2: cost 36 inf + 0 27.569 * * [simplify]: Extracting #3: cost 131 inf + 1 27.570 * * [simplify]: Extracting #4: cost 175 inf + 220 27.572 * * [simplify]: Extracting #5: cost 160 inf + 1914 27.577 * * [simplify]: Extracting #6: cost 84 inf + 11925 27.591 * * [simplify]: Extracting #7: cost 27 inf + 40490 27.612 * * [simplify]: Extracting #8: cost 0 inf + 68673 27.635 * * [simplify]: Extracting #9: cost 0 inf + 68313 27.657 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 27.657 * [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)))))) 27.657 * * * * [progress]: [ 121 / 133 ] simplifiying candidate # 27.657 * * * * [progress]: [ 122 / 133 ] simplifiying candidate # 27.657 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 27.657 * * [simplify]: iters left: 6 (11 enodes) 27.665 * * [simplify]: iters left: 5 (51 enodes) 27.686 * * [simplify]: iters left: 4 (87 enodes) 27.710 * * [simplify]: iters left: 3 (146 enodes) 27.738 * * [simplify]: iters left: 2 (263 enodes) 27.815 * * [simplify]: iters left: 1 (487 enodes) 28.055 * * [simplify]: Extracting #0: cost 1 inf + 0 28.055 * * [simplify]: Extracting #1: cost 26 inf + 0 28.055 * * [simplify]: Extracting #2: cost 109 inf + 1 28.056 * * [simplify]: Extracting #3: cost 197 inf + 178 28.057 * * [simplify]: Extracting #4: cost 191 inf + 1310 28.060 * * [simplify]: Extracting #5: cost 96 inf + 14316 28.070 * * [simplify]: Extracting #6: cost 32 inf + 39237 28.096 * * [simplify]: Extracting #7: cost 0 inf + 65358 28.117 * * [simplify]: Extracting #8: cost 0 inf + 64077 28.139 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/4 (- 1 k))) 28.139 * [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))))) 28.140 * * * * [progress]: [ 123 / 133 ] simplifiying candidate # 28.140 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 2)) 28.140 * * [simplify]: iters left: 5 (8 enodes) 28.146 * * [simplify]: iters left: 4 (35 enodes) 28.161 * * [simplify]: iters left: 3 (63 enodes) 28.185 * * [simplify]: iters left: 2 (108 enodes) 28.212 * * [simplify]: iters left: 1 (162 enodes) 28.243 * * [simplify]: Extracting #0: cost 1 inf + 0 28.243 * * [simplify]: Extracting #1: cost 14 inf + 0 28.244 * * [simplify]: Extracting #2: cost 44 inf + 2 28.244 * * [simplify]: Extracting #3: cost 39 inf + 94 28.244 * * [simplify]: Extracting #4: cost 24 inf + 2779 28.246 * * [simplify]: Extracting #5: cost 3 inf + 12838 28.248 * * [simplify]: Extracting #6: cost 0 inf + 14804 28.250 * [simplify]: Simplified to (sqrt (* (* PI 2) n)) 28.251 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* PI 2) n)) (* (sqrt k) (pow (* n (* 2 PI)) (/ k 2))))) 28.251 * * * * [progress]: [ 124 / 133 ] simplifiying candidate #real (real->posit16 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))> 28.251 * * * * [progress]: [ 125 / 133 ] simplifiying candidate # 28.251 * [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))))) 28.252 * * [simplify]: iters left: 6 (37 enodes) 28.274 * * [simplify]: iters left: 5 (190 enodes) 28.360 * * [simplify]: Extracting #0: cost 1 inf + 0 28.360 * * [simplify]: Extracting #1: cost 22 inf + 0 28.360 * * [simplify]: Extracting #2: cost 108 inf + 1 28.361 * * [simplify]: Extracting #3: cost 171 inf + 46 28.362 * * [simplify]: Extracting #4: cost 189 inf + 427 28.364 * * [simplify]: Extracting #5: cost 128 inf + 16032 28.372 * * [simplify]: Extracting #6: cost 29 inf + 57153 28.387 * * [simplify]: Extracting #7: cost 4 inf + 75884 28.411 * * [simplify]: Extracting #8: cost 0 inf + 78767 28.427 * [simplify]: Simplified to (fma (* (log (* PI 2)) 1/4) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k k) (log n))) (- (fma (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k (log n)) (* k (log n)))) 1/8 (fma (* (* 1/8 (log (* PI 2))) (log (* PI 2))) (* (* k k) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (exp (* (+ (log n) (log (* PI 2))) 1/2)))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) 1/2))) 28.427 * [simplify]: Simplified (2 1) to (λ (k n) (/ (fma (* (log (* PI 2)) 1/4) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k k) (log n))) (- (fma (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k (log n)) (* k (log n)))) 1/8 (fma (* (* 1/8 (log (* PI 2))) (log (* PI 2))) (* (* k k) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (exp (* (+ (log n) (log (* PI 2))) 1/2)))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) 1/2))) (sqrt k))) 28.428 * * * * [progress]: [ 126 / 133 ] simplifiying candidate # 28.428 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 28.428 * * [simplify]: iters left: 6 (15 enodes) 28.433 * * [simplify]: iters left: 5 (65 enodes) 28.446 * * [simplify]: iters left: 4 (123 enodes) 28.476 * * [simplify]: iters left: 3 (368 enodes) 28.650 * * [simplify]: Extracting #0: cost 1 inf + 0 28.650 * * [simplify]: Extracting #1: cost 37 inf + 0 28.651 * * [simplify]: Extracting #2: cost 216 inf + 72 28.654 * * [simplify]: Extracting #3: cost 359 inf + 1294 28.663 * * [simplify]: Extracting #4: cost 227 inf + 27604 28.689 * * [simplify]: Extracting #5: cost 34 inf + 80469 28.711 * * [simplify]: Extracting #6: cost 0 inf + 90323 28.730 * * [simplify]: Extracting #7: cost 0 inf + 90139 28.760 * * [simplify]: Extracting #8: cost 0 inf + 90138 28.791 * [simplify]: Simplified to (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) 28.791 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) (sqrt k))) 28.791 * * * * [progress]: [ 127 / 133 ] simplifiying candidate # 28.791 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 28.791 * * [simplify]: iters left: 6 (16 enodes) 28.797 * * [simplify]: iters left: 5 (67 enodes) 28.811 * * [simplify]: iters left: 4 (134 enodes) 28.857 * * [simplify]: iters left: 3 (413 enodes) 29.060 * * [simplify]: Extracting #0: cost 1 inf + 0 29.060 * * [simplify]: Extracting #1: cost 39 inf + 0 29.061 * * [simplify]: Extracting #2: cost 241 inf + 72 29.064 * * [simplify]: Extracting #3: cost 450 inf + 903 29.070 * * [simplify]: Extracting #4: cost 376 inf + 10375 29.095 * * [simplify]: Extracting #5: cost 157 inf + 67388 29.118 * * [simplify]: Extracting #6: cost 12 inf + 118840 29.142 * * [simplify]: Extracting #7: cost 0 inf + 121984 29.165 * * [simplify]: Extracting #8: cost 0 inf + 121983 29.209 * [simplify]: Simplified to (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) 29.209 * [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))) 29.209 * * * * [progress]: [ 128 / 133 ] simplifiying candidate # 29.210 * [simplify]: Simplifying (* 2 (* n PI)) 29.210 * * [simplify]: iters left: 4 (5 enodes) 29.213 * * [simplify]: iters left: 3 (19 enodes) 29.220 * * [simplify]: iters left: 2 (27 enodes) 29.229 * * [simplify]: iters left: 1 (32 enodes) 29.238 * * [simplify]: Extracting #0: cost 1 inf + 0 29.238 * * [simplify]: Extracting #1: cost 8 inf + 0 29.238 * * [simplify]: Extracting #2: cost 7 inf + 45 29.238 * * [simplify]: Extracting #3: cost 0 inf + 421 29.239 * [simplify]: Simplified to (* (* PI n) 2) 29.239 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k))) 29.239 * * * * [progress]: [ 129 / 133 ] simplifiying candidate # 29.239 * [simplify]: Simplifying (* 2 (* n PI)) 29.239 * * [simplify]: iters left: 4 (5 enodes) 29.242 * * [simplify]: iters left: 3 (19 enodes) 29.248 * * [simplify]: iters left: 2 (27 enodes) 29.257 * * [simplify]: iters left: 1 (32 enodes) 29.265 * * [simplify]: Extracting #0: cost 1 inf + 0 29.265 * * [simplify]: Extracting #1: cost 8 inf + 0 29.265 * * [simplify]: Extracting #2: cost 7 inf + 45 29.265 * * [simplify]: Extracting #3: cost 0 inf + 421 29.266 * [simplify]: Simplified to (* (* PI n) 2) 29.266 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k))) 29.266 * * * * [progress]: [ 130 / 133 ] simplifiying candidate # 29.266 * [simplify]: Simplifying (* 2 (* n PI)) 29.266 * * [simplify]: iters left: 4 (5 enodes) 29.269 * * [simplify]: iters left: 3 (19 enodes) 29.276 * * [simplify]: iters left: 2 (27 enodes) 29.284 * * [simplify]: iters left: 1 (32 enodes) 29.289 * * [simplify]: Extracting #0: cost 1 inf + 0 29.289 * * [simplify]: Extracting #1: cost 8 inf + 0 29.289 * * [simplify]: Extracting #2: cost 7 inf + 45 29.289 * * [simplify]: Extracting #3: cost 0 inf + 421 29.289 * [simplify]: Simplified to (* (* PI n) 2) 29.289 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k))) 29.289 * * * * [progress]: [ 131 / 133 ] simplifiying candidate # 29.290 * [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)))))))))))))))))))))) 29.290 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 29.290 * * * * [progress]: [ 132 / 133 ] simplifiying candidate # 29.290 * [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)))))))) 29.290 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 29.290 * * * * [progress]: [ 133 / 133 ] simplifiying candidate # 29.290 * [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)))))))))))) 29.290 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 29.291 * * * [progress]: adding candidates to table 30.864 * * [progress]: iteration 2 / 4 30.864 * * * [progress]: picking best candidate 30.911 * * * * [pick]: Picked # 30.912 * * * [progress]: localizing error 30.938 * * * [progress]: generating rewritten candidates 30.939 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 30.971 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 30.980 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 31.005 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 31.059 * * * [progress]: generating series expansions 31.059 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 31.060 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) 31.060 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0 31.060 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 31.060 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 31.060 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 31.060 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 31.060 * [taylor]: Taking taylor expansion of 1/2 in k 31.060 * [backup-simplify]: Simplify 1/2 into 1/2 31.060 * [taylor]: Taking taylor expansion of (- 1 k) in k 31.060 * [taylor]: Taking taylor expansion of 1 in k 31.060 * [backup-simplify]: Simplify 1 into 1 31.060 * [taylor]: Taking taylor expansion of k in k 31.061 * [backup-simplify]: Simplify 0 into 0 31.061 * [backup-simplify]: Simplify 1 into 1 31.061 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 31.061 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 31.061 * [taylor]: Taking taylor expansion of 2 in k 31.061 * [backup-simplify]: Simplify 2 into 2 31.061 * [taylor]: Taking taylor expansion of (* n PI) in k 31.061 * [taylor]: Taking taylor expansion of n in k 31.061 * [backup-simplify]: Simplify n into n 31.061 * [taylor]: Taking taylor expansion of PI in k 31.061 * [backup-simplify]: Simplify PI into PI 31.061 * [backup-simplify]: Simplify (* n PI) into (* n PI) 31.061 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 31.061 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 31.061 * [backup-simplify]: Simplify (- 0) into 0 31.062 * [backup-simplify]: Simplify (+ 1 0) into 1 31.062 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 31.062 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 31.062 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 31.062 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 31.063 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 31.063 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 31.063 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 31.063 * [taylor]: Taking taylor expansion of 1/2 in n 31.063 * [backup-simplify]: Simplify 1/2 into 1/2 31.063 * [taylor]: Taking taylor expansion of (- 1 k) in n 31.063 * [taylor]: Taking taylor expansion of 1 in n 31.063 * [backup-simplify]: Simplify 1 into 1 31.063 * [taylor]: Taking taylor expansion of k in n 31.063 * [backup-simplify]: Simplify k into k 31.063 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 31.063 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 31.063 * [taylor]: Taking taylor expansion of 2 in n 31.063 * [backup-simplify]: Simplify 2 into 2 31.063 * [taylor]: Taking taylor expansion of (* n PI) in n 31.063 * [taylor]: Taking taylor expansion of n in n 31.063 * [backup-simplify]: Simplify 0 into 0 31.063 * [backup-simplify]: Simplify 1 into 1 31.063 * [taylor]: Taking taylor expansion of PI in n 31.063 * [backup-simplify]: Simplify PI into PI 31.063 * [backup-simplify]: Simplify (* 0 PI) into 0 31.064 * [backup-simplify]: Simplify (* 2 0) into 0 31.065 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 31.067 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 31.068 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 31.068 * [backup-simplify]: Simplify (- k) into (- k) 31.068 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 31.068 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 31.069 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 31.070 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 31.071 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 31.072 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 31.072 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 31.072 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 31.072 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 31.072 * [taylor]: Taking taylor expansion of 1/2 in n 31.072 * [backup-simplify]: Simplify 1/2 into 1/2 31.072 * [taylor]: Taking taylor expansion of (- 1 k) in n 31.072 * [taylor]: Taking taylor expansion of 1 in n 31.072 * [backup-simplify]: Simplify 1 into 1 31.072 * [taylor]: Taking taylor expansion of k in n 31.072 * [backup-simplify]: Simplify k into k 31.072 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 31.072 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 31.072 * [taylor]: Taking taylor expansion of 2 in n 31.072 * [backup-simplify]: Simplify 2 into 2 31.072 * [taylor]: Taking taylor expansion of (* n PI) in n 31.072 * [taylor]: Taking taylor expansion of n in n 31.072 * [backup-simplify]: Simplify 0 into 0 31.072 * [backup-simplify]: Simplify 1 into 1 31.072 * [taylor]: Taking taylor expansion of PI in n 31.072 * [backup-simplify]: Simplify PI into PI 31.073 * [backup-simplify]: Simplify (* 0 PI) into 0 31.073 * [backup-simplify]: Simplify (* 2 0) into 0 31.074 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 31.076 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 31.077 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 31.077 * [backup-simplify]: Simplify (- k) into (- k) 31.077 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 31.077 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 31.082 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 31.084 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 31.085 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 31.085 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 31.085 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 31.085 * [taylor]: Taking taylor expansion of 1/2 in k 31.085 * [backup-simplify]: Simplify 1/2 into 1/2 31.085 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 31.085 * [taylor]: Taking taylor expansion of (- 1 k) in k 31.085 * [taylor]: Taking taylor expansion of 1 in k 31.085 * [backup-simplify]: Simplify 1 into 1 31.085 * [taylor]: Taking taylor expansion of k in k 31.085 * [backup-simplify]: Simplify 0 into 0 31.085 * [backup-simplify]: Simplify 1 into 1 31.085 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 31.085 * [taylor]: Taking taylor expansion of (log n) in k 31.085 * [taylor]: Taking taylor expansion of n in k 31.085 * [backup-simplify]: Simplify n into n 31.086 * [backup-simplify]: Simplify (log n) into (log n) 31.086 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 31.086 * [taylor]: Taking taylor expansion of (* 2 PI) in k 31.086 * [taylor]: Taking taylor expansion of 2 in k 31.086 * [backup-simplify]: Simplify 2 into 2 31.086 * [taylor]: Taking taylor expansion of PI in k 31.086 * [backup-simplify]: Simplify PI into PI 31.086 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 31.087 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 31.087 * [backup-simplify]: Simplify (- 0) into 0 31.088 * [backup-simplify]: Simplify (+ 1 0) into 1 31.089 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 31.090 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 31.091 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 31.092 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 31.093 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 31.094 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 31.095 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 31.097 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 31.097 * [backup-simplify]: Simplify (- 0) into 0 31.097 * [backup-simplify]: Simplify (+ 0 0) into 0 31.098 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 31.099 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 31.100 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 31.102 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 31.102 * [taylor]: Taking taylor expansion of 0 in k 31.102 * [backup-simplify]: Simplify 0 into 0 31.102 * [backup-simplify]: Simplify 0 into 0 31.103 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 31.104 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 31.106 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 31.106 * [backup-simplify]: Simplify (+ 0 0) into 0 31.107 * [backup-simplify]: Simplify (- 1) into -1 31.107 * [backup-simplify]: Simplify (+ 0 -1) into -1 31.109 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 31.111 * [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))))) 31.114 * [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))))))) 31.117 * [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))))))) 31.118 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 31.119 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 31.123 * [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 31.123 * [backup-simplify]: Simplify (- 0) into 0 31.123 * [backup-simplify]: Simplify (+ 0 0) into 0 31.124 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 31.126 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 31.127 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 31.129 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 31.129 * [taylor]: Taking taylor expansion of 0 in k 31.129 * [backup-simplify]: Simplify 0 into 0 31.129 * [backup-simplify]: Simplify 0 into 0 31.130 * [backup-simplify]: Simplify 0 into 0 31.131 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 31.132 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 31.136 * [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 31.136 * [backup-simplify]: Simplify (+ 0 0) into 0 31.137 * [backup-simplify]: Simplify (- 0) into 0 31.137 * [backup-simplify]: Simplify (+ 0 0) into 0 31.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 31.141 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 31.145 * [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))))) 31.148 * [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))))) 31.153 * [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))))) 31.153 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) 31.153 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 31.153 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 31.153 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 31.154 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 31.154 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 31.154 * [taylor]: Taking taylor expansion of 1/2 in k 31.154 * [backup-simplify]: Simplify 1/2 into 1/2 31.154 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 31.154 * [taylor]: Taking taylor expansion of 1 in k 31.154 * [backup-simplify]: Simplify 1 into 1 31.154 * [taylor]: Taking taylor expansion of (/ 1 k) in k 31.154 * [taylor]: Taking taylor expansion of k in k 31.154 * [backup-simplify]: Simplify 0 into 0 31.154 * [backup-simplify]: Simplify 1 into 1 31.154 * [backup-simplify]: Simplify (/ 1 1) into 1 31.154 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 31.154 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 31.154 * [taylor]: Taking taylor expansion of 2 in k 31.154 * [backup-simplify]: Simplify 2 into 2 31.154 * [taylor]: Taking taylor expansion of (/ PI n) in k 31.154 * [taylor]: Taking taylor expansion of PI in k 31.154 * [backup-simplify]: Simplify PI into PI 31.154 * [taylor]: Taking taylor expansion of n in k 31.154 * [backup-simplify]: Simplify n into n 31.154 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 31.154 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 31.154 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 31.154 * [backup-simplify]: Simplify (- 1) into -1 31.155 * [backup-simplify]: Simplify (+ 0 -1) into -1 31.155 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 31.155 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 31.155 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 31.155 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 31.155 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 31.155 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 31.155 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 31.155 * [taylor]: Taking taylor expansion of 1/2 in n 31.155 * [backup-simplify]: Simplify 1/2 into 1/2 31.155 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 31.155 * [taylor]: Taking taylor expansion of 1 in n 31.155 * [backup-simplify]: Simplify 1 into 1 31.155 * [taylor]: Taking taylor expansion of (/ 1 k) in n 31.155 * [taylor]: Taking taylor expansion of k in n 31.155 * [backup-simplify]: Simplify k into k 31.155 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 31.155 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 31.155 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 31.155 * [taylor]: Taking taylor expansion of 2 in n 31.155 * [backup-simplify]: Simplify 2 into 2 31.155 * [taylor]: Taking taylor expansion of (/ PI n) in n 31.155 * [taylor]: Taking taylor expansion of PI in n 31.155 * [backup-simplify]: Simplify PI into PI 31.156 * [taylor]: Taking taylor expansion of n in n 31.156 * [backup-simplify]: Simplify 0 into 0 31.156 * [backup-simplify]: Simplify 1 into 1 31.156 * [backup-simplify]: Simplify (/ PI 1) into PI 31.156 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 31.157 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 31.157 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 31.157 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 31.157 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 31.158 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 31.159 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 31.159 * [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))))) 31.159 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 31.160 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 31.160 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 31.160 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 31.160 * [taylor]: Taking taylor expansion of 1/2 in n 31.160 * [backup-simplify]: Simplify 1/2 into 1/2 31.160 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 31.160 * [taylor]: Taking taylor expansion of 1 in n 31.160 * [backup-simplify]: Simplify 1 into 1 31.160 * [taylor]: Taking taylor expansion of (/ 1 k) in n 31.160 * [taylor]: Taking taylor expansion of k in n 31.160 * [backup-simplify]: Simplify k into k 31.160 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 31.160 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 31.160 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 31.160 * [taylor]: Taking taylor expansion of 2 in n 31.160 * [backup-simplify]: Simplify 2 into 2 31.160 * [taylor]: Taking taylor expansion of (/ PI n) in n 31.160 * [taylor]: Taking taylor expansion of PI in n 31.160 * [backup-simplify]: Simplify PI into PI 31.160 * [taylor]: Taking taylor expansion of n in n 31.160 * [backup-simplify]: Simplify 0 into 0 31.160 * [backup-simplify]: Simplify 1 into 1 31.160 * [backup-simplify]: Simplify (/ PI 1) into PI 31.160 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 31.161 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 31.161 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 31.161 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 31.161 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 31.162 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 31.163 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 31.163 * [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))))) 31.163 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 31.163 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 31.163 * [taylor]: Taking taylor expansion of 1/2 in k 31.164 * [backup-simplify]: Simplify 1/2 into 1/2 31.164 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 31.164 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 31.164 * [taylor]: Taking taylor expansion of 1 in k 31.164 * [backup-simplify]: Simplify 1 into 1 31.164 * [taylor]: Taking taylor expansion of (/ 1 k) in k 31.164 * [taylor]: Taking taylor expansion of k in k 31.164 * [backup-simplify]: Simplify 0 into 0 31.164 * [backup-simplify]: Simplify 1 into 1 31.164 * [backup-simplify]: Simplify (/ 1 1) into 1 31.164 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 31.164 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 31.164 * [taylor]: Taking taylor expansion of (* 2 PI) in k 31.164 * [taylor]: Taking taylor expansion of 2 in k 31.164 * [backup-simplify]: Simplify 2 into 2 31.164 * [taylor]: Taking taylor expansion of PI in k 31.164 * [backup-simplify]: Simplify PI into PI 31.164 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 31.165 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 31.165 * [taylor]: Taking taylor expansion of (log n) in k 31.165 * [taylor]: Taking taylor expansion of n in k 31.165 * [backup-simplify]: Simplify n into n 31.165 * [backup-simplify]: Simplify (log n) into (log n) 31.165 * [backup-simplify]: Simplify (- 1) into -1 31.165 * [backup-simplify]: Simplify (+ 0 -1) into -1 31.165 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 31.166 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 31.167 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 31.167 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 31.168 * [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))))) 31.169 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 31.169 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 31.170 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 31.171 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 31.171 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 31.171 * [backup-simplify]: Simplify (- 0) into 0 31.171 * [backup-simplify]: Simplify (+ 0 0) into 0 31.172 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 31.172 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 31.173 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 31.174 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 31.174 * [taylor]: Taking taylor expansion of 0 in k 31.174 * [backup-simplify]: Simplify 0 into 0 31.174 * [backup-simplify]: Simplify 0 into 0 31.174 * [backup-simplify]: Simplify 0 into 0 31.175 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.175 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 31.177 * [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 31.178 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 31.178 * [backup-simplify]: Simplify (- 0) into 0 31.178 * [backup-simplify]: Simplify (+ 0 0) into 0 31.179 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 31.179 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 31.180 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 31.182 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 31.182 * [taylor]: Taking taylor expansion of 0 in k 31.182 * [backup-simplify]: Simplify 0 into 0 31.182 * [backup-simplify]: Simplify 0 into 0 31.182 * [backup-simplify]: Simplify 0 into 0 31.182 * [backup-simplify]: Simplify 0 into 0 31.182 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.183 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 31.187 * [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 31.187 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 31.187 * [backup-simplify]: Simplify (- 0) into 0 31.187 * [backup-simplify]: Simplify (+ 0 0) into 0 31.188 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 31.189 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 31.193 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 31.196 * [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 31.196 * [taylor]: Taking taylor expansion of 0 in k 31.196 * [backup-simplify]: Simplify 0 into 0 31.196 * [backup-simplify]: Simplify 0 into 0 31.197 * [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)))))) 31.197 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) 31.197 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 31.197 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 31.197 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 31.197 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 31.197 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 31.197 * [taylor]: Taking taylor expansion of 1/2 in k 31.197 * [backup-simplify]: Simplify 1/2 into 1/2 31.197 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 31.197 * [taylor]: Taking taylor expansion of (/ 1 k) in k 31.198 * [taylor]: Taking taylor expansion of k in k 31.198 * [backup-simplify]: Simplify 0 into 0 31.198 * [backup-simplify]: Simplify 1 into 1 31.198 * [backup-simplify]: Simplify (/ 1 1) into 1 31.198 * [taylor]: Taking taylor expansion of 1 in k 31.198 * [backup-simplify]: Simplify 1 into 1 31.198 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 31.198 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 31.198 * [taylor]: Taking taylor expansion of -2 in k 31.198 * [backup-simplify]: Simplify -2 into -2 31.198 * [taylor]: Taking taylor expansion of (/ PI n) in k 31.198 * [taylor]: Taking taylor expansion of PI in k 31.198 * [backup-simplify]: Simplify PI into PI 31.198 * [taylor]: Taking taylor expansion of n in k 31.198 * [backup-simplify]: Simplify n into n 31.198 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 31.198 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 31.198 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 31.198 * [backup-simplify]: Simplify (+ 1 0) into 1 31.199 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 31.199 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 31.199 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 31.199 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 31.199 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 31.199 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 31.199 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 31.199 * [taylor]: Taking taylor expansion of 1/2 in n 31.199 * [backup-simplify]: Simplify 1/2 into 1/2 31.199 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 31.199 * [taylor]: Taking taylor expansion of (/ 1 k) in n 31.199 * [taylor]: Taking taylor expansion of k in n 31.199 * [backup-simplify]: Simplify k into k 31.199 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 31.199 * [taylor]: Taking taylor expansion of 1 in n 31.199 * [backup-simplify]: Simplify 1 into 1 31.199 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 31.199 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 31.199 * [taylor]: Taking taylor expansion of -2 in n 31.199 * [backup-simplify]: Simplify -2 into -2 31.199 * [taylor]: Taking taylor expansion of (/ PI n) in n 31.199 * [taylor]: Taking taylor expansion of PI in n 31.199 * [backup-simplify]: Simplify PI into PI 31.199 * [taylor]: Taking taylor expansion of n in n 31.199 * [backup-simplify]: Simplify 0 into 0 31.199 * [backup-simplify]: Simplify 1 into 1 31.200 * [backup-simplify]: Simplify (/ PI 1) into PI 31.200 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 31.201 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 31.201 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 31.201 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 31.201 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 31.202 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 31.203 * [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))))) 31.203 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 31.203 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 31.203 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 31.203 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 31.203 * [taylor]: Taking taylor expansion of 1/2 in n 31.203 * [backup-simplify]: Simplify 1/2 into 1/2 31.203 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 31.203 * [taylor]: Taking taylor expansion of (/ 1 k) in n 31.203 * [taylor]: Taking taylor expansion of k in n 31.203 * [backup-simplify]: Simplify k into k 31.203 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 31.203 * [taylor]: Taking taylor expansion of 1 in n 31.203 * [backup-simplify]: Simplify 1 into 1 31.203 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 31.203 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 31.203 * [taylor]: Taking taylor expansion of -2 in n 31.203 * [backup-simplify]: Simplify -2 into -2 31.203 * [taylor]: Taking taylor expansion of (/ PI n) in n 31.203 * [taylor]: Taking taylor expansion of PI in n 31.203 * [backup-simplify]: Simplify PI into PI 31.203 * [taylor]: Taking taylor expansion of n in n 31.203 * [backup-simplify]: Simplify 0 into 0 31.203 * [backup-simplify]: Simplify 1 into 1 31.204 * [backup-simplify]: Simplify (/ PI 1) into PI 31.204 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 31.204 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 31.204 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 31.204 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 31.205 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 31.206 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 31.207 * [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))))) 31.207 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 31.207 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 31.207 * [taylor]: Taking taylor expansion of 1/2 in k 31.207 * [backup-simplify]: Simplify 1/2 into 1/2 31.207 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 31.207 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 31.207 * [taylor]: Taking taylor expansion of (/ 1 k) in k 31.207 * [taylor]: Taking taylor expansion of k in k 31.207 * [backup-simplify]: Simplify 0 into 0 31.207 * [backup-simplify]: Simplify 1 into 1 31.207 * [backup-simplify]: Simplify (/ 1 1) into 1 31.207 * [taylor]: Taking taylor expansion of 1 in k 31.207 * [backup-simplify]: Simplify 1 into 1 31.207 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 31.207 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 31.207 * [taylor]: Taking taylor expansion of (* -2 PI) in k 31.207 * [taylor]: Taking taylor expansion of -2 in k 31.207 * [backup-simplify]: Simplify -2 into -2 31.207 * [taylor]: Taking taylor expansion of PI in k 31.207 * [backup-simplify]: Simplify PI into PI 31.208 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 31.208 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 31.208 * [taylor]: Taking taylor expansion of (log n) in k 31.208 * [taylor]: Taking taylor expansion of n in k 31.208 * [backup-simplify]: Simplify n into n 31.208 * [backup-simplify]: Simplify (log n) into (log n) 31.209 * [backup-simplify]: Simplify (+ 1 0) into 1 31.209 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 31.209 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 31.210 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 31.210 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 31.211 * [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))))) 31.212 * [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))))) 31.212 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 31.213 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 31.214 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 31.214 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 31.214 * [backup-simplify]: Simplify (+ 0 0) into 0 31.214 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 31.215 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 31.216 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 31.217 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 31.217 * [taylor]: Taking taylor expansion of 0 in k 31.217 * [backup-simplify]: Simplify 0 into 0 31.217 * [backup-simplify]: Simplify 0 into 0 31.217 * [backup-simplify]: Simplify 0 into 0 31.218 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.218 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 31.220 * [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 31.220 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 31.220 * [backup-simplify]: Simplify (+ 0 0) into 0 31.221 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 31.222 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 31.223 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 31.224 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 31.224 * [taylor]: Taking taylor expansion of 0 in k 31.224 * [backup-simplify]: Simplify 0 into 0 31.224 * [backup-simplify]: Simplify 0 into 0 31.224 * [backup-simplify]: Simplify 0 into 0 31.224 * [backup-simplify]: Simplify 0 into 0 31.225 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.225 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 31.229 * [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 31.229 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 31.229 * [backup-simplify]: Simplify (+ 0 0) into 0 31.230 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 31.232 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 31.234 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 31.237 * [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 31.237 * [taylor]: Taking taylor expansion of 0 in k 31.237 * [backup-simplify]: Simplify 0 into 0 31.237 * [backup-simplify]: Simplify 0 into 0 31.238 * [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)))))) 31.238 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 31.238 * [backup-simplify]: Simplify (/ 1 (sqrt k)) into (sqrt (/ 1 k)) 31.238 * [approximate]: Taking taylor expansion of (sqrt (/ 1 k)) in (k) around 0 31.238 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 31.238 * [taylor]: Taking taylor expansion of (/ 1 k) in k 31.238 * [taylor]: Taking taylor expansion of k in k 31.238 * [backup-simplify]: Simplify 0 into 0 31.238 * [backup-simplify]: Simplify 1 into 1 31.239 * [backup-simplify]: Simplify (/ 1 1) into 1 31.239 * [backup-simplify]: Simplify (sqrt 0) into 0 31.241 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 31.241 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 31.241 * [taylor]: Taking taylor expansion of (/ 1 k) in k 31.241 * [taylor]: Taking taylor expansion of k in k 31.241 * [backup-simplify]: Simplify 0 into 0 31.241 * [backup-simplify]: Simplify 1 into 1 31.241 * [backup-simplify]: Simplify (/ 1 1) into 1 31.242 * [backup-simplify]: Simplify (sqrt 0) into 0 31.243 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 31.243 * [backup-simplify]: Simplify 0 into 0 31.243 * [backup-simplify]: Simplify +nan.0 into +nan.0 31.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 31.247 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 31.247 * [backup-simplify]: Simplify +nan.0 into +nan.0 31.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.251 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 31.251 * [backup-simplify]: Simplify +nan.0 into +nan.0 31.251 * [backup-simplify]: Simplify (+ (* +nan.0 (pow k 2)) (+ (* +nan.0 k) +nan.0)) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 31.251 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 k))) into (sqrt k) 31.251 * [approximate]: Taking taylor expansion of (sqrt k) in (k) around 0 31.251 * [taylor]: Taking taylor expansion of (sqrt k) in k 31.251 * [taylor]: Taking taylor expansion of k in k 31.251 * [backup-simplify]: Simplify 0 into 0 31.251 * [backup-simplify]: Simplify 1 into 1 31.251 * [backup-simplify]: Simplify (sqrt 0) into 0 31.252 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 31.252 * [taylor]: Taking taylor expansion of (sqrt k) in k 31.252 * [taylor]: Taking taylor expansion of k in k 31.252 * [backup-simplify]: Simplify 0 into 0 31.252 * [backup-simplify]: Simplify 1 into 1 31.252 * [backup-simplify]: Simplify (sqrt 0) into 0 31.253 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 31.253 * [backup-simplify]: Simplify 0 into 0 31.253 * [backup-simplify]: Simplify +nan.0 into +nan.0 31.255 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 31.255 * [backup-simplify]: Simplify +nan.0 into +nan.0 31.257 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 31.257 * [backup-simplify]: Simplify +nan.0 into +nan.0 31.258 * [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)))))))) 31.258 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 (- k)))) into (/ 1 (sqrt (/ -1 k))) 31.258 * [approximate]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in (k) around 0 31.258 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 31.258 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 31.258 * [taylor]: Taking taylor expansion of (/ -1 k) in k 31.258 * [taylor]: Taking taylor expansion of -1 in k 31.258 * [backup-simplify]: Simplify -1 into -1 31.258 * [taylor]: Taking taylor expansion of k in k 31.258 * [backup-simplify]: Simplify 0 into 0 31.258 * [backup-simplify]: Simplify 1 into 1 31.258 * [backup-simplify]: Simplify (/ -1 1) into -1 31.258 * [backup-simplify]: Simplify (sqrt 0) into 0 31.259 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 31.259 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 31.259 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 31.259 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 31.259 * [taylor]: Taking taylor expansion of (/ -1 k) in k 31.259 * [taylor]: Taking taylor expansion of -1 in k 31.259 * [backup-simplify]: Simplify -1 into -1 31.260 * [taylor]: Taking taylor expansion of k in k 31.260 * [backup-simplify]: Simplify 0 into 0 31.260 * [backup-simplify]: Simplify 1 into 1 31.260 * [backup-simplify]: Simplify (/ -1 1) into -1 31.260 * [backup-simplify]: Simplify (sqrt 0) into 0 31.261 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 31.261 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 31.261 * [backup-simplify]: Simplify +nan.0 into +nan.0 31.262 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 31.263 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 31.265 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 31.265 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 31.266 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.268 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 31.270 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 31.270 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 31.271 * [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))))) 31.271 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 31.271 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI)) 31.271 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 31.271 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 31.271 * [taylor]: Taking taylor expansion of 2 in n 31.271 * [backup-simplify]: Simplify 2 into 2 31.271 * [taylor]: Taking taylor expansion of (* n PI) in n 31.271 * [taylor]: Taking taylor expansion of n in n 31.271 * [backup-simplify]: Simplify 0 into 0 31.271 * [backup-simplify]: Simplify 1 into 1 31.271 * [taylor]: Taking taylor expansion of PI in n 31.272 * [backup-simplify]: Simplify PI into PI 31.272 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 31.272 * [taylor]: Taking taylor expansion of 2 in n 31.272 * [backup-simplify]: Simplify 2 into 2 31.272 * [taylor]: Taking taylor expansion of (* n PI) in n 31.272 * [taylor]: Taking taylor expansion of n in n 31.272 * [backup-simplify]: Simplify 0 into 0 31.272 * [backup-simplify]: Simplify 1 into 1 31.272 * [taylor]: Taking taylor expansion of PI in n 31.272 * [backup-simplify]: Simplify PI into PI 31.272 * [backup-simplify]: Simplify (* 0 PI) into 0 31.272 * [backup-simplify]: Simplify (* 2 0) into 0 31.272 * [backup-simplify]: Simplify 0 into 0 31.273 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 31.274 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 31.275 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 31.275 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 31.276 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 31.276 * [backup-simplify]: Simplify 0 into 0 31.277 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 31.277 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 31.277 * [backup-simplify]: Simplify 0 into 0 31.278 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 31.279 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 31.279 * [backup-simplify]: Simplify 0 into 0 31.280 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 31.280 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 31.280 * [backup-simplify]: Simplify 0 into 0 31.282 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 31.284 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 31.284 * [backup-simplify]: Simplify 0 into 0 31.286 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 31.288 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 31.288 * [backup-simplify]: Simplify 0 into 0 31.290 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 31.291 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n)) 31.291 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 31.291 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 31.291 * [taylor]: Taking taylor expansion of 2 in n 31.291 * [backup-simplify]: Simplify 2 into 2 31.291 * [taylor]: Taking taylor expansion of (/ PI n) in n 31.291 * [taylor]: Taking taylor expansion of PI in n 31.291 * [backup-simplify]: Simplify PI into PI 31.291 * [taylor]: Taking taylor expansion of n in n 31.291 * [backup-simplify]: Simplify 0 into 0 31.291 * [backup-simplify]: Simplify 1 into 1 31.292 * [backup-simplify]: Simplify (/ PI 1) into PI 31.292 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 31.292 * [taylor]: Taking taylor expansion of 2 in n 31.292 * [backup-simplify]: Simplify 2 into 2 31.292 * [taylor]: Taking taylor expansion of (/ PI n) in n 31.292 * [taylor]: Taking taylor expansion of PI in n 31.292 * [backup-simplify]: Simplify PI into PI 31.292 * [taylor]: Taking taylor expansion of n in n 31.292 * [backup-simplify]: Simplify 0 into 0 31.292 * [backup-simplify]: Simplify 1 into 1 31.293 * [backup-simplify]: Simplify (/ PI 1) into PI 31.293 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 31.294 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 31.294 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 31.295 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 31.295 * [backup-simplify]: Simplify 0 into 0 31.296 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.297 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 31.297 * [backup-simplify]: Simplify 0 into 0 31.298 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.299 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 31.299 * [backup-simplify]: Simplify 0 into 0 31.301 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.302 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 31.302 * [backup-simplify]: Simplify 0 into 0 31.303 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.304 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 31.304 * [backup-simplify]: Simplify 0 into 0 31.306 * [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 31.307 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 31.307 * [backup-simplify]: Simplify 0 into 0 31.308 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 31.308 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n)) 31.308 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 31.308 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 31.308 * [taylor]: Taking taylor expansion of -2 in n 31.308 * [backup-simplify]: Simplify -2 into -2 31.309 * [taylor]: Taking taylor expansion of (/ PI n) in n 31.309 * [taylor]: Taking taylor expansion of PI in n 31.309 * [backup-simplify]: Simplify PI into PI 31.309 * [taylor]: Taking taylor expansion of n in n 31.309 * [backup-simplify]: Simplify 0 into 0 31.309 * [backup-simplify]: Simplify 1 into 1 31.309 * [backup-simplify]: Simplify (/ PI 1) into PI 31.309 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 31.309 * [taylor]: Taking taylor expansion of -2 in n 31.309 * [backup-simplify]: Simplify -2 into -2 31.309 * [taylor]: Taking taylor expansion of (/ PI n) in n 31.309 * [taylor]: Taking taylor expansion of PI in n 31.309 * [backup-simplify]: Simplify PI into PI 31.309 * [taylor]: Taking taylor expansion of n in n 31.309 * [backup-simplify]: Simplify 0 into 0 31.309 * [backup-simplify]: Simplify 1 into 1 31.310 * [backup-simplify]: Simplify (/ PI 1) into PI 31.310 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 31.311 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 31.312 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 31.312 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 31.312 * [backup-simplify]: Simplify 0 into 0 31.313 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.314 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 31.314 * [backup-simplify]: Simplify 0 into 0 31.315 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.317 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 31.317 * [backup-simplify]: Simplify 0 into 0 31.318 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.319 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 31.319 * [backup-simplify]: Simplify 0 into 0 31.320 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.322 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 31.322 * [backup-simplify]: Simplify 0 into 0 31.323 * [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 31.325 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 31.325 * [backup-simplify]: Simplify 0 into 0 31.325 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 31.325 * * * * [progress]: [ 4 / 4 ] generating series at (2) 31.326 * [backup-simplify]: Simplify (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k))) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) 31.326 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (n k) around 0 31.326 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 31.326 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 31.326 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 31.326 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 31.326 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 31.326 * [taylor]: Taking taylor expansion of 1/2 in k 31.326 * [backup-simplify]: Simplify 1/2 into 1/2 31.326 * [taylor]: Taking taylor expansion of (- 1 k) in k 31.326 * [taylor]: Taking taylor expansion of 1 in k 31.326 * [backup-simplify]: Simplify 1 into 1 31.326 * [taylor]: Taking taylor expansion of k in k 31.326 * [backup-simplify]: Simplify 0 into 0 31.326 * [backup-simplify]: Simplify 1 into 1 31.326 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 31.326 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 31.326 * [taylor]: Taking taylor expansion of 2 in k 31.326 * [backup-simplify]: Simplify 2 into 2 31.327 * [taylor]: Taking taylor expansion of (* n PI) in k 31.327 * [taylor]: Taking taylor expansion of n in k 31.327 * [backup-simplify]: Simplify n into n 31.327 * [taylor]: Taking taylor expansion of PI in k 31.327 * [backup-simplify]: Simplify PI into PI 31.327 * [backup-simplify]: Simplify (* n PI) into (* n PI) 31.327 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 31.327 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 31.327 * [backup-simplify]: Simplify (- 0) into 0 31.328 * [backup-simplify]: Simplify (+ 1 0) into 1 31.328 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 31.328 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 31.328 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 31.328 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 31.328 * [taylor]: Taking taylor expansion of (/ 1 k) in k 31.328 * [taylor]: Taking taylor expansion of k in k 31.328 * [backup-simplify]: Simplify 0 into 0 31.328 * [backup-simplify]: Simplify 1 into 1 31.329 * [backup-simplify]: Simplify (/ 1 1) into 1 31.329 * [backup-simplify]: Simplify (sqrt 0) into 0 31.331 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 31.331 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 31.331 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 31.331 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 31.331 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 31.331 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 31.331 * [taylor]: Taking taylor expansion of 1/2 in n 31.331 * [backup-simplify]: Simplify 1/2 into 1/2 31.331 * [taylor]: Taking taylor expansion of (- 1 k) in n 31.331 * [taylor]: Taking taylor expansion of 1 in n 31.331 * [backup-simplify]: Simplify 1 into 1 31.331 * [taylor]: Taking taylor expansion of k in n 31.331 * [backup-simplify]: Simplify k into k 31.331 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 31.331 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 31.331 * [taylor]: Taking taylor expansion of 2 in n 31.331 * [backup-simplify]: Simplify 2 into 2 31.331 * [taylor]: Taking taylor expansion of (* n PI) in n 31.331 * [taylor]: Taking taylor expansion of n in n 31.332 * [backup-simplify]: Simplify 0 into 0 31.332 * [backup-simplify]: Simplify 1 into 1 31.332 * [taylor]: Taking taylor expansion of PI in n 31.332 * [backup-simplify]: Simplify PI into PI 31.332 * [backup-simplify]: Simplify (* 0 PI) into 0 31.332 * [backup-simplify]: Simplify (* 2 0) into 0 31.333 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 31.335 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 31.335 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 31.335 * [backup-simplify]: Simplify (- k) into (- k) 31.335 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 31.335 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 31.336 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 31.337 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 31.338 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 31.338 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 31.338 * [taylor]: Taking taylor expansion of (/ 1 k) in n 31.338 * [taylor]: Taking taylor expansion of k in n 31.338 * [backup-simplify]: Simplify k into k 31.338 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 31.338 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 31.338 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 31.338 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 31.338 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 31.338 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 31.338 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 31.338 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 31.338 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 31.338 * [taylor]: Taking taylor expansion of 1/2 in n 31.338 * [backup-simplify]: Simplify 1/2 into 1/2 31.338 * [taylor]: Taking taylor expansion of (- 1 k) in n 31.338 * [taylor]: Taking taylor expansion of 1 in n 31.338 * [backup-simplify]: Simplify 1 into 1 31.338 * [taylor]: Taking taylor expansion of k in n 31.338 * [backup-simplify]: Simplify k into k 31.338 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 31.338 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 31.338 * [taylor]: Taking taylor expansion of 2 in n 31.338 * [backup-simplify]: Simplify 2 into 2 31.338 * [taylor]: Taking taylor expansion of (* n PI) in n 31.338 * [taylor]: Taking taylor expansion of n in n 31.338 * [backup-simplify]: Simplify 0 into 0 31.338 * [backup-simplify]: Simplify 1 into 1 31.338 * [taylor]: Taking taylor expansion of PI in n 31.338 * [backup-simplify]: Simplify PI into PI 31.338 * [backup-simplify]: Simplify (* 0 PI) into 0 31.339 * [backup-simplify]: Simplify (* 2 0) into 0 31.340 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 31.341 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 31.341 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 31.341 * [backup-simplify]: Simplify (- k) into (- k) 31.341 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 31.341 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 31.342 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 31.343 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 31.343 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 31.344 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 31.344 * [taylor]: Taking taylor expansion of (/ 1 k) in n 31.344 * [taylor]: Taking taylor expansion of k in n 31.344 * [backup-simplify]: Simplify k into k 31.344 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 31.344 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 31.344 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 31.344 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 31.345 * [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))) 31.345 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) in k 31.345 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 31.345 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 31.345 * [taylor]: Taking taylor expansion of 1/2 in k 31.345 * [backup-simplify]: Simplify 1/2 into 1/2 31.345 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 31.345 * [taylor]: Taking taylor expansion of (- 1 k) in k 31.345 * [taylor]: Taking taylor expansion of 1 in k 31.345 * [backup-simplify]: Simplify 1 into 1 31.345 * [taylor]: Taking taylor expansion of k in k 31.345 * [backup-simplify]: Simplify 0 into 0 31.345 * [backup-simplify]: Simplify 1 into 1 31.345 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 31.345 * [taylor]: Taking taylor expansion of (log n) in k 31.345 * [taylor]: Taking taylor expansion of n in k 31.345 * [backup-simplify]: Simplify n into n 31.345 * [backup-simplify]: Simplify (log n) into (log n) 31.345 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 31.345 * [taylor]: Taking taylor expansion of (* 2 PI) in k 31.345 * [taylor]: Taking taylor expansion of 2 in k 31.345 * [backup-simplify]: Simplify 2 into 2 31.345 * [taylor]: Taking taylor expansion of PI in k 31.345 * [backup-simplify]: Simplify PI into PI 31.345 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 31.346 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 31.346 * [backup-simplify]: Simplify (- 0) into 0 31.347 * [backup-simplify]: Simplify (+ 1 0) into 1 31.347 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 31.348 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 31.348 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 31.349 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 31.349 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 31.349 * [taylor]: Taking taylor expansion of (/ 1 k) in k 31.349 * [taylor]: Taking taylor expansion of k in k 31.349 * [backup-simplify]: Simplify 0 into 0 31.349 * [backup-simplify]: Simplify 1 into 1 31.349 * [backup-simplify]: Simplify (/ 1 1) into 1 31.350 * [backup-simplify]: Simplify (sqrt 0) into 0 31.351 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 31.351 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 31.352 * [backup-simplify]: Simplify 0 into 0 31.352 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 31.353 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 31.354 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 31.354 * [backup-simplify]: Simplify (- 0) into 0 31.354 * [backup-simplify]: Simplify (+ 0 0) into 0 31.355 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 31.355 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 31.356 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 31.357 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 31.358 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (* 0 (sqrt (/ 1 k)))) into 0 31.358 * [taylor]: Taking taylor expansion of 0 in k 31.358 * [backup-simplify]: Simplify 0 into 0 31.358 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 31.359 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 31.360 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 31.360 * [backup-simplify]: Simplify (+ 0 0) into 0 31.360 * [backup-simplify]: Simplify (- 1) into -1 31.361 * [backup-simplify]: Simplify (+ 0 -1) into -1 31.362 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 31.364 * [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))))) 31.367 * [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))))))) 31.371 * [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))))))) 31.372 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 31.372 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 31.373 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 31.374 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 31.375 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 31.379 * [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 31.379 * [backup-simplify]: Simplify (- 0) into 0 31.380 * [backup-simplify]: Simplify (+ 0 0) into 0 31.380 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 31.382 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 31.383 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 31.386 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 31.387 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0 31.388 * [taylor]: Taking taylor expansion of 0 in k 31.388 * [backup-simplify]: Simplify 0 into 0 31.388 * [backup-simplify]: Simplify 0 into 0 31.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 31.391 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 31.393 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 31.394 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 31.397 * [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 31.398 * [backup-simplify]: Simplify (+ 0 0) into 0 31.398 * [backup-simplify]: Simplify (- 0) into 0 31.399 * [backup-simplify]: Simplify (+ 0 0) into 0 31.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 31.403 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 31.407 * [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))))) 31.418 * [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)))))))) 31.423 * [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)))))))) 31.423 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 31.424 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 31.425 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 31.426 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 31.432 * [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 31.432 * [backup-simplify]: Simplify (- 0) into 0 31.433 * [backup-simplify]: Simplify (+ 0 0) into 0 31.434 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 k))))) into 0 31.436 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 31.437 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 31.440 * [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 31.442 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0 31.442 * [taylor]: Taking taylor expansion of 0 in k 31.442 * [backup-simplify]: Simplify 0 into 0 31.442 * [backup-simplify]: Simplify 0 into 0 31.443 * [backup-simplify]: Simplify 0 into 0 31.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.448 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 31.451 * [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 31.452 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 31.459 * [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 31.459 * [backup-simplify]: Simplify (+ 0 0) into 0 31.460 * [backup-simplify]: Simplify (- 0) into 0 31.460 * [backup-simplify]: Simplify (+ 0 0) into 0 31.462 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 31.465 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 31.471 * [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))))))) 31.487 * [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)))))))))))))) 31.498 * [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)))))))))))))) 31.517 * [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)))))))))))))))))))))) 31.518 * [backup-simplify]: Simplify (* (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) (/ 1 (sqrt (/ 1 k)))) into (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) 31.518 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (n k) around 0 31.518 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 31.518 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 31.518 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 31.518 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 31.518 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 31.518 * [taylor]: Taking taylor expansion of 1/2 in k 31.518 * [backup-simplify]: Simplify 1/2 into 1/2 31.518 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 31.518 * [taylor]: Taking taylor expansion of 1 in k 31.518 * [backup-simplify]: Simplify 1 into 1 31.518 * [taylor]: Taking taylor expansion of (/ 1 k) in k 31.518 * [taylor]: Taking taylor expansion of k in k 31.518 * [backup-simplify]: Simplify 0 into 0 31.518 * [backup-simplify]: Simplify 1 into 1 31.519 * [backup-simplify]: Simplify (/ 1 1) into 1 31.519 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 31.519 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 31.519 * [taylor]: Taking taylor expansion of 2 in k 31.519 * [backup-simplify]: Simplify 2 into 2 31.519 * [taylor]: Taking taylor expansion of (/ PI n) in k 31.519 * [taylor]: Taking taylor expansion of PI in k 31.519 * [backup-simplify]: Simplify PI into PI 31.519 * [taylor]: Taking taylor expansion of n in k 31.519 * [backup-simplify]: Simplify n into n 31.519 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 31.519 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 31.519 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 31.519 * [backup-simplify]: Simplify (- 1) into -1 31.520 * [backup-simplify]: Simplify (+ 0 -1) into -1 31.520 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 31.521 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 31.521 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 31.521 * [taylor]: Taking taylor expansion of (sqrt k) in k 31.521 * [taylor]: Taking taylor expansion of k in k 31.521 * [backup-simplify]: Simplify 0 into 0 31.521 * [backup-simplify]: Simplify 1 into 1 31.521 * [backup-simplify]: Simplify (sqrt 0) into 0 31.523 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 31.523 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 31.523 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 31.523 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 31.523 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 31.523 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 31.523 * [taylor]: Taking taylor expansion of 1/2 in n 31.523 * [backup-simplify]: Simplify 1/2 into 1/2 31.523 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 31.523 * [taylor]: Taking taylor expansion of 1 in n 31.523 * [backup-simplify]: Simplify 1 into 1 31.523 * [taylor]: Taking taylor expansion of (/ 1 k) in n 31.523 * [taylor]: Taking taylor expansion of k in n 31.523 * [backup-simplify]: Simplify k into k 31.523 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 31.523 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 31.524 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 31.524 * [taylor]: Taking taylor expansion of 2 in n 31.524 * [backup-simplify]: Simplify 2 into 2 31.524 * [taylor]: Taking taylor expansion of (/ PI n) in n 31.524 * [taylor]: Taking taylor expansion of PI in n 31.524 * [backup-simplify]: Simplify PI into PI 31.524 * [taylor]: Taking taylor expansion of n in n 31.524 * [backup-simplify]: Simplify 0 into 0 31.524 * [backup-simplify]: Simplify 1 into 1 31.524 * [backup-simplify]: Simplify (/ PI 1) into PI 31.525 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 31.526 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 31.526 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 31.526 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 31.526 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 31.527 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 31.528 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 31.530 * [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))))) 31.530 * [taylor]: Taking taylor expansion of (sqrt k) in n 31.530 * [taylor]: Taking taylor expansion of k in n 31.530 * [backup-simplify]: Simplify k into k 31.530 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 31.530 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 31.530 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 31.530 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 31.530 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 31.530 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 31.530 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 31.530 * [taylor]: Taking taylor expansion of 1/2 in n 31.530 * [backup-simplify]: Simplify 1/2 into 1/2 31.530 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 31.530 * [taylor]: Taking taylor expansion of 1 in n 31.530 * [backup-simplify]: Simplify 1 into 1 31.530 * [taylor]: Taking taylor expansion of (/ 1 k) in n 31.530 * [taylor]: Taking taylor expansion of k in n 31.530 * [backup-simplify]: Simplify k into k 31.530 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 31.530 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 31.530 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 31.530 * [taylor]: Taking taylor expansion of 2 in n 31.530 * [backup-simplify]: Simplify 2 into 2 31.530 * [taylor]: Taking taylor expansion of (/ PI n) in n 31.530 * [taylor]: Taking taylor expansion of PI in n 31.530 * [backup-simplify]: Simplify PI into PI 31.530 * [taylor]: Taking taylor expansion of n in n 31.530 * [backup-simplify]: Simplify 0 into 0 31.530 * [backup-simplify]: Simplify 1 into 1 31.531 * [backup-simplify]: Simplify (/ PI 1) into PI 31.531 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 31.532 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 31.532 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 31.533 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 31.533 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 31.534 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 31.535 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 31.536 * [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))))) 31.536 * [taylor]: Taking taylor expansion of (sqrt k) in n 31.536 * [taylor]: Taking taylor expansion of k in n 31.536 * [backup-simplify]: Simplify k into k 31.536 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 31.537 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 31.538 * [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)) 31.538 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) in k 31.538 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 31.538 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 31.538 * [taylor]: Taking taylor expansion of 1/2 in k 31.538 * [backup-simplify]: Simplify 1/2 into 1/2 31.538 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 31.538 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 31.538 * [taylor]: Taking taylor expansion of 1 in k 31.538 * [backup-simplify]: Simplify 1 into 1 31.538 * [taylor]: Taking taylor expansion of (/ 1 k) in k 31.538 * [taylor]: Taking taylor expansion of k in k 31.538 * [backup-simplify]: Simplify 0 into 0 31.538 * [backup-simplify]: Simplify 1 into 1 31.539 * [backup-simplify]: Simplify (/ 1 1) into 1 31.539 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 31.539 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 31.539 * [taylor]: Taking taylor expansion of (* 2 PI) in k 31.539 * [taylor]: Taking taylor expansion of 2 in k 31.539 * [backup-simplify]: Simplify 2 into 2 31.539 * [taylor]: Taking taylor expansion of PI in k 31.539 * [backup-simplify]: Simplify PI into PI 31.539 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 31.540 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 31.540 * [taylor]: Taking taylor expansion of (log n) in k 31.540 * [taylor]: Taking taylor expansion of n in k 31.540 * [backup-simplify]: Simplify n into n 31.540 * [backup-simplify]: Simplify (log n) into (log n) 31.541 * [backup-simplify]: Simplify (- 1) into -1 31.541 * [backup-simplify]: Simplify (+ 0 -1) into -1 31.541 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 31.542 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 31.543 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 31.545 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 31.546 * [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))))) 31.546 * [taylor]: Taking taylor expansion of (sqrt k) in k 31.546 * [taylor]: Taking taylor expansion of k in k 31.546 * [backup-simplify]: Simplify 0 into 0 31.546 * [backup-simplify]: Simplify 1 into 1 31.547 * [backup-simplify]: Simplify (sqrt 0) into 0 31.548 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 31.550 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) into 0 31.550 * [backup-simplify]: Simplify 0 into 0 31.550 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 31.554 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 31.556 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 31.557 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 31.557 * [backup-simplify]: Simplify (- 0) into 0 31.557 * [backup-simplify]: Simplify (+ 0 0) into 0 31.558 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 31.559 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 31.561 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 31.562 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 31.563 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (* 0 (sqrt k))) into 0 31.563 * [taylor]: Taking taylor expansion of 0 in k 31.563 * [backup-simplify]: Simplify 0 into 0 31.563 * [backup-simplify]: Simplify 0 into 0 31.564 * [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))))))) 31.564 * [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))))))) 31.565 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 31.566 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.566 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 31.568 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 31.568 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 31.568 * [backup-simplify]: Simplify (- 0) into 0 31.569 * [backup-simplify]: Simplify (+ 0 0) into 0 31.569 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 31.570 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 31.571 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 31.572 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 31.573 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0 31.573 * [taylor]: Taking taylor expansion of 0 in k 31.573 * [backup-simplify]: Simplify 0 into 0 31.573 * [backup-simplify]: Simplify 0 into 0 31.573 * [backup-simplify]: Simplify 0 into 0 31.575 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 31.576 * [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))))))) 31.577 * [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))))))) 31.578 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 31.578 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.579 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 31.582 * [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 31.582 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 31.583 * [backup-simplify]: Simplify (- 0) into 0 31.583 * [backup-simplify]: Simplify (+ 0 0) into 0 31.584 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 31.584 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 31.586 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 31.587 * [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 31.588 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0 31.588 * [taylor]: Taking taylor expansion of 0 in k 31.588 * [backup-simplify]: Simplify 0 into 0 31.588 * [backup-simplify]: Simplify 0 into 0 31.588 * [backup-simplify]: Simplify 0 into 0 31.589 * [backup-simplify]: Simplify 0 into 0 31.591 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 31.592 * [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))))))) 31.593 * [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))))))) 31.595 * [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)))))))) 31.596 * [backup-simplify]: Simplify (* (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) (/ 1 (sqrt (/ 1 (- k))))) into (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) 31.596 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (n k) around 0 31.596 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 31.596 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 31.596 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 31.596 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 31.596 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 31.596 * [taylor]: Taking taylor expansion of 1/2 in k 31.596 * [backup-simplify]: Simplify 1/2 into 1/2 31.596 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 31.596 * [taylor]: Taking taylor expansion of (/ 1 k) in k 31.596 * [taylor]: Taking taylor expansion of k in k 31.596 * [backup-simplify]: Simplify 0 into 0 31.596 * [backup-simplify]: Simplify 1 into 1 31.597 * [backup-simplify]: Simplify (/ 1 1) into 1 31.597 * [taylor]: Taking taylor expansion of 1 in k 31.597 * [backup-simplify]: Simplify 1 into 1 31.597 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 31.597 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 31.597 * [taylor]: Taking taylor expansion of -2 in k 31.597 * [backup-simplify]: Simplify -2 into -2 31.597 * [taylor]: Taking taylor expansion of (/ PI n) in k 31.597 * [taylor]: Taking taylor expansion of PI in k 31.597 * [backup-simplify]: Simplify PI into PI 31.597 * [taylor]: Taking taylor expansion of n in k 31.597 * [backup-simplify]: Simplify n into n 31.597 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 31.597 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 31.597 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 31.597 * [backup-simplify]: Simplify (+ 1 0) into 1 31.597 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 31.598 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 31.598 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 31.598 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 31.598 * [taylor]: Taking taylor expansion of (/ -1 k) in k 31.598 * [taylor]: Taking taylor expansion of -1 in k 31.598 * [backup-simplify]: Simplify -1 into -1 31.598 * [taylor]: Taking taylor expansion of k in k 31.598 * [backup-simplify]: Simplify 0 into 0 31.598 * [backup-simplify]: Simplify 1 into 1 31.598 * [backup-simplify]: Simplify (/ -1 1) into -1 31.598 * [backup-simplify]: Simplify (sqrt 0) into 0 31.599 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 31.599 * [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))))) 31.599 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 31.599 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 31.599 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 31.599 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 31.599 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 31.599 * [taylor]: Taking taylor expansion of 1/2 in n 31.599 * [backup-simplify]: Simplify 1/2 into 1/2 31.599 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 31.599 * [taylor]: Taking taylor expansion of (/ 1 k) in n 31.599 * [taylor]: Taking taylor expansion of k in n 31.599 * [backup-simplify]: Simplify k into k 31.599 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 31.599 * [taylor]: Taking taylor expansion of 1 in n 31.600 * [backup-simplify]: Simplify 1 into 1 31.600 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 31.600 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 31.600 * [taylor]: Taking taylor expansion of -2 in n 31.600 * [backup-simplify]: Simplify -2 into -2 31.600 * [taylor]: Taking taylor expansion of (/ PI n) in n 31.600 * [taylor]: Taking taylor expansion of PI in n 31.600 * [backup-simplify]: Simplify PI into PI 31.600 * [taylor]: Taking taylor expansion of n in n 31.600 * [backup-simplify]: Simplify 0 into 0 31.600 * [backup-simplify]: Simplify 1 into 1 31.600 * [backup-simplify]: Simplify (/ PI 1) into PI 31.600 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 31.601 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 31.601 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 31.601 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 31.602 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 31.603 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 31.603 * [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))))) 31.603 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 31.603 * [taylor]: Taking taylor expansion of (/ -1 k) in n 31.603 * [taylor]: Taking taylor expansion of -1 in n 31.603 * [backup-simplify]: Simplify -1 into -1 31.604 * [taylor]: Taking taylor expansion of k in n 31.604 * [backup-simplify]: Simplify k into k 31.604 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 31.604 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 31.604 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 31.604 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 31.605 * [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))) 31.605 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 31.605 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 31.605 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 31.605 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 31.605 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 31.605 * [taylor]: Taking taylor expansion of 1/2 in n 31.605 * [backup-simplify]: Simplify 1/2 into 1/2 31.605 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 31.605 * [taylor]: Taking taylor expansion of (/ 1 k) in n 31.605 * [taylor]: Taking taylor expansion of k in n 31.605 * [backup-simplify]: Simplify k into k 31.605 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 31.605 * [taylor]: Taking taylor expansion of 1 in n 31.605 * [backup-simplify]: Simplify 1 into 1 31.605 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 31.605 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 31.605 * [taylor]: Taking taylor expansion of -2 in n 31.605 * [backup-simplify]: Simplify -2 into -2 31.605 * [taylor]: Taking taylor expansion of (/ PI n) in n 31.605 * [taylor]: Taking taylor expansion of PI in n 31.605 * [backup-simplify]: Simplify PI into PI 31.605 * [taylor]: Taking taylor expansion of n in n 31.605 * [backup-simplify]: Simplify 0 into 0 31.605 * [backup-simplify]: Simplify 1 into 1 31.606 * [backup-simplify]: Simplify (/ PI 1) into PI 31.607 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 31.608 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 31.608 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 31.608 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 31.609 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 31.610 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 31.612 * [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))))) 31.612 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 31.612 * [taylor]: Taking taylor expansion of (/ -1 k) in n 31.612 * [taylor]: Taking taylor expansion of -1 in n 31.612 * [backup-simplify]: Simplify -1 into -1 31.612 * [taylor]: Taking taylor expansion of k in n 31.612 * [backup-simplify]: Simplify k into k 31.612 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 31.612 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 31.612 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 31.612 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 31.614 * [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))) 31.614 * [taylor]: Taking taylor expansion of (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) in k 31.614 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 31.614 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 31.614 * [taylor]: Taking taylor expansion of 1/2 in k 31.614 * [backup-simplify]: Simplify 1/2 into 1/2 31.614 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 31.614 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 31.614 * [taylor]: Taking taylor expansion of (/ 1 k) in k 31.614 * [taylor]: Taking taylor expansion of k in k 31.614 * [backup-simplify]: Simplify 0 into 0 31.614 * [backup-simplify]: Simplify 1 into 1 31.615 * [backup-simplify]: Simplify (/ 1 1) into 1 31.615 * [taylor]: Taking taylor expansion of 1 in k 31.615 * [backup-simplify]: Simplify 1 into 1 31.615 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 31.615 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 31.615 * [taylor]: Taking taylor expansion of (* -2 PI) in k 31.615 * [taylor]: Taking taylor expansion of -2 in k 31.615 * [backup-simplify]: Simplify -2 into -2 31.615 * [taylor]: Taking taylor expansion of PI in k 31.615 * [backup-simplify]: Simplify PI into PI 31.615 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 31.616 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 31.616 * [taylor]: Taking taylor expansion of (log n) in k 31.616 * [taylor]: Taking taylor expansion of n in k 31.616 * [backup-simplify]: Simplify n into n 31.616 * [backup-simplify]: Simplify (log n) into (log n) 31.617 * [backup-simplify]: Simplify (+ 1 0) into 1 31.617 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 31.618 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 31.619 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 31.620 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 31.621 * [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))))) 31.621 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 31.621 * [taylor]: Taking taylor expansion of (/ -1 k) in k 31.621 * [taylor]: Taking taylor expansion of -1 in k 31.622 * [backup-simplify]: Simplify -1 into -1 31.622 * [taylor]: Taking taylor expansion of k in k 31.622 * [backup-simplify]: Simplify 0 into 0 31.622 * [backup-simplify]: Simplify 1 into 1 31.622 * [backup-simplify]: Simplify (/ -1 1) into -1 31.622 * [backup-simplify]: Simplify (sqrt 0) into 0 31.624 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 31.625 * [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)))))) 31.626 * [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)))))) 31.627 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 31.628 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 31.630 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 31.630 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 31.630 * [backup-simplify]: Simplify (+ 0 0) into 0 31.631 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 31.632 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 31.634 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 31.635 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 31.637 * [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 31.637 * [taylor]: Taking taylor expansion of 0 in k 31.637 * [backup-simplify]: Simplify 0 into 0 31.637 * [backup-simplify]: Simplify 0 into 0 31.638 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 31.641 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 31.644 * [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))))))) 31.645 * [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))))))) 31.646 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.647 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 31.651 * [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 31.651 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 31.652 * [backup-simplify]: Simplify (+ 0 0) into 0 31.653 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 31.654 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 31.656 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 31.658 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 31.659 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 31.659 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 31.661 * [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 31.661 * [taylor]: Taking taylor expansion of 0 in k 31.661 * [backup-simplify]: Simplify 0 into 0 31.661 * [backup-simplify]: Simplify 0 into 0 31.661 * [backup-simplify]: Simplify 0 into 0 31.662 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.666 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 31.674 * [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))))))) 31.675 * [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))))))) 31.679 * [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)))))))))))) 31.680 * * * [progress]: simplifying candidates 31.680 * * * * [progress]: [ 1 / 197 ] simplifiying candidate # 31.680 * * * * [progress]: [ 2 / 197 ] simplifiying candidate # 31.680 * * * * [progress]: [ 3 / 197 ] simplifiying candidate # 31.680 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) 31.680 * * [simplify]: iters left: 6 (13 enodes) 31.688 * * [simplify]: iters left: 5 (54 enodes) 31.707 * * [simplify]: iters left: 4 (97 enodes) 31.748 * * [simplify]: iters left: 3 (252 enodes) 31.878 * * [simplify]: Extracting #0: cost 1 inf + 0 31.878 * * [simplify]: Extracting #1: cost 38 inf + 0 31.879 * * [simplify]: Extracting #2: cost 133 inf + 73 31.879 * * [simplify]: Extracting #3: cost 162 inf + 1645 31.882 * * [simplify]: Extracting #4: cost 64 inf + 21597 31.890 * * [simplify]: Extracting #5: cost 2 inf + 40621 31.901 * * [simplify]: Extracting #6: cost 0 inf + 41489 31.917 * [simplify]: Simplified to (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2) 31.917 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2)) (/ 1 (sqrt k)))) 31.917 * * * * [progress]: [ 4 / 197 ] simplifiying candidate # 31.918 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) 31.918 * * [simplify]: iters left: 6 (12 enodes) 31.925 * * [simplify]: iters left: 5 (52 enodes) 31.943 * * [simplify]: iters left: 4 (90 enodes) 31.977 * * [simplify]: iters left: 3 (209 enodes) 32.080 * * [simplify]: Extracting #0: cost 1 inf + 0 32.081 * * [simplify]: Extracting #1: cost 33 inf + 0 32.081 * * [simplify]: Extracting #2: cost 117 inf + 73 32.081 * * [simplify]: Extracting #3: cost 141 inf + 1307 32.083 * * [simplify]: Extracting #4: cost 79 inf + 11364 32.087 * * [simplify]: Extracting #5: cost 30 inf + 22914 32.094 * * [simplify]: Extracting #6: cost 0 inf + 32222 32.100 * * [simplify]: Extracting #7: cost 0 inf + 32142 32.107 * [simplify]: Simplified to (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) 32.107 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2)) (/ 1 (sqrt k)))) 32.107 * * * * [progress]: [ 5 / 197 ] simplifiying candidate # 32.107 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) 32.107 * * [simplify]: iters left: 6 (11 enodes) 32.111 * * [simplify]: iters left: 5 (51 enodes) 32.123 * * [simplify]: iters left: 4 (97 enodes) 32.141 * * [simplify]: iters left: 3 (203 enodes) 32.209 * * [simplify]: Extracting #0: cost 1 inf + 0 32.210 * * [simplify]: Extracting #1: cost 35 inf + 0 32.210 * * [simplify]: Extracting #2: cost 119 inf + 2 32.210 * * [simplify]: Extracting #3: cost 150 inf + 702 32.212 * * [simplify]: Extracting #4: cost 96 inf + 7237 32.215 * * [simplify]: Extracting #5: cost 29 inf + 21171 32.220 * * [simplify]: Extracting #6: cost 6 inf + 26771 32.226 * * [simplify]: Extracting #7: cost 0 inf + 28612 32.233 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) 32.233 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) (/ 1 (sqrt k)))) 32.233 * * * * [progress]: [ 6 / 197 ] simplifiying candidate # 32.233 * * * * [progress]: [ 7 / 197 ] simplifiying candidate # 32.233 * [simplify]: Simplifying (* n (* 2 PI)) 32.233 * * [simplify]: iters left: 4 (5 enodes) 32.235 * * [simplify]: iters left: 3 (19 enodes) 32.238 * * [simplify]: iters left: 2 (27 enodes) 32.242 * * [simplify]: iters left: 1 (32 enodes) 32.247 * * [simplify]: Extracting #0: cost 1 inf + 0 32.247 * * [simplify]: Extracting #1: cost 8 inf + 0 32.247 * * [simplify]: Extracting #2: cost 7 inf + 45 32.247 * * [simplify]: Extracting #3: cost 0 inf + 421 32.247 * [simplify]: Simplified to (* (* PI 2) n) 32.247 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (/ 1 (sqrt k)))) 32.247 * * * * [progress]: [ 8 / 197 ] simplifiying candidate # 32.248 * [simplify]: Simplifying (* n (* 2 PI)) 32.248 * * [simplify]: iters left: 4 (5 enodes) 32.249 * * [simplify]: iters left: 3 (19 enodes) 32.252 * * [simplify]: iters left: 2 (27 enodes) 32.260 * * [simplify]: iters left: 1 (32 enodes) 32.268 * * [simplify]: Extracting #0: cost 1 inf + 0 32.268 * * [simplify]: Extracting #1: cost 8 inf + 0 32.268 * * [simplify]: Extracting #2: cost 7 inf + 45 32.268 * * [simplify]: Extracting #3: cost 0 inf + 421 32.269 * [simplify]: Simplified to (* (* PI 2) n) 32.269 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (/ 1 (sqrt k)))) 32.269 * * * * [progress]: [ 9 / 197 ] simplifiying candidate # 32.269 * [simplify]: Simplifying (* n (* 2 PI)) 32.269 * * [simplify]: iters left: 4 (5 enodes) 32.272 * * [simplify]: iters left: 3 (19 enodes) 32.278 * * [simplify]: iters left: 2 (27 enodes) 32.287 * * [simplify]: iters left: 1 (32 enodes) 32.298 * * [simplify]: Extracting #0: cost 1 inf + 0 32.298 * * [simplify]: Extracting #1: cost 8 inf + 0 32.298 * * [simplify]: Extracting #2: cost 7 inf + 45 32.299 * * [simplify]: Extracting #3: cost 0 inf + 421 32.299 * [simplify]: Simplified to (* (* PI 2) n) 32.299 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (/ 1 (sqrt k)))) 32.299 * * * * [progress]: [ 10 / 197 ] simplifiying candidate # 32.299 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ k 2)) 32.299 * * [simplify]: iters left: 5 (8 enodes) 32.302 * * [simplify]: iters left: 4 (31 enodes) 32.308 * * [simplify]: iters left: 3 (51 enodes) 32.317 * * [simplify]: iters left: 2 (85 enodes) 32.337 * * [simplify]: iters left: 1 (152 enodes) 32.372 * * [simplify]: Extracting #0: cost 1 inf + 0 32.372 * * [simplify]: Extracting #1: cost 13 inf + 0 32.372 * * [simplify]: Extracting #2: cost 59 inf + 1 32.373 * * [simplify]: Extracting #3: cost 76 inf + 9 32.373 * * [simplify]: Extracting #4: cost 41 inf + 3303 32.375 * * [simplify]: Extracting #5: cost 16 inf + 10676 32.377 * * [simplify]: Extracting #6: cost 0 inf + 21028 32.380 * * [simplify]: Extracting #7: cost 0 inf + 20456 32.388 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 32.388 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (/ 1 (sqrt k)))) 32.388 * * * * [progress]: [ 11 / 197 ] simplifiying candidate # 32.389 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2)) 32.389 * * [simplify]: iters left: 5 (6 enodes) 32.393 * * [simplify]: iters left: 4 (26 enodes) 32.403 * * [simplify]: iters left: 3 (35 enodes) 32.414 * * [simplify]: iters left: 2 (37 enodes) 32.425 * * [simplify]: iters left: 1 (41 enodes) 32.437 * * [simplify]: Extracting #0: cost 1 inf + 0 32.438 * * [simplify]: Extracting #1: cost 3 inf + 0 32.438 * * [simplify]: Extracting #2: cost 9 inf + 0 32.438 * * [simplify]: Extracting #3: cost 13 inf + 2 32.438 * * [simplify]: Extracting #4: cost 10 inf + 87 32.438 * * [simplify]: Extracting #5: cost 3 inf + 582 32.439 * * [simplify]: Extracting #6: cost 0 inf + 910 32.439 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2)) 32.439 * [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))) (/ 1 (sqrt k)))) 32.439 * * * * [progress]: [ 12 / 197 ] simplifiying candidate # 32.439 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2)) 32.440 * * [simplify]: iters left: 5 (6 enodes) 32.444 * * [simplify]: iters left: 4 (26 enodes) 32.452 * * [simplify]: iters left: 3 (35 enodes) 32.464 * * [simplify]: iters left: 2 (37 enodes) 32.475 * * [simplify]: iters left: 1 (41 enodes) 32.487 * * [simplify]: Extracting #0: cost 1 inf + 0 32.487 * * [simplify]: Extracting #1: cost 3 inf + 0 32.487 * * [simplify]: Extracting #2: cost 9 inf + 0 32.487 * * [simplify]: Extracting #3: cost 13 inf + 2 32.487 * * [simplify]: Extracting #4: cost 10 inf + 87 32.487 * * [simplify]: Extracting #5: cost 3 inf + 542 32.488 * * [simplify]: Extracting #6: cost 0 inf + 830 32.488 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2)) 32.488 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))) (/ 1 (sqrt k)))) 32.488 * * * * [progress]: [ 13 / 197 ] simplifiying candidate # 32.489 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2)) 32.489 * * [simplify]: iters left: 5 (7 enodes) 32.493 * * [simplify]: iters left: 4 (25 enodes) 32.502 * * [simplify]: iters left: 3 (30 enodes) 32.509 * * [simplify]: Extracting #0: cost 1 inf + 0 32.509 * * [simplify]: Extracting #1: cost 4 inf + 0 32.509 * * [simplify]: Extracting #2: cost 8 inf + 0 32.509 * * [simplify]: Extracting #3: cost 10 inf + 82 32.509 * * [simplify]: Extracting #4: cost 7 inf + 206 32.509 * * [simplify]: Extracting #5: cost 2 inf + 575 32.509 * * [simplify]: Extracting #6: cost 1 inf + 818 32.509 * * [simplify]: Extracting #7: cost 0 inf + 1061 32.509 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2)) 32.509 * [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))) (/ 1 (sqrt k)))) 32.509 * * * * [progress]: [ 14 / 197 ] simplifiying candidate # 32.510 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2)) 32.510 * * [simplify]: iters left: 5 (7 enodes) 32.512 * * [simplify]: iters left: 4 (25 enodes) 32.516 * * [simplify]: iters left: 3 (30 enodes) 32.522 * * [simplify]: Extracting #0: cost 1 inf + 0 32.522 * * [simplify]: Extracting #1: cost 4 inf + 0 32.522 * * [simplify]: Extracting #2: cost 8 inf + 0 32.522 * * [simplify]: Extracting #3: cost 10 inf + 42 32.522 * * [simplify]: Extracting #4: cost 7 inf + 126 32.522 * * [simplify]: Extracting #5: cost 2 inf + 495 32.522 * * [simplify]: Extracting #6: cost 1 inf + 698 32.522 * * [simplify]: Extracting #7: cost 0 inf + 901 32.522 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2)) 32.522 * [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))) (/ 1 (sqrt k)))) 32.523 * * * * [progress]: [ 15 / 197 ] simplifiying candidate # 32.523 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2) 32.523 * * [simplify]: iters left: 5 (6 enodes) 32.525 * * [simplify]: iters left: 4 (22 enodes) 32.530 * * [simplify]: iters left: 3 (27 enodes) 32.536 * * [simplify]: Extracting #0: cost 1 inf + 0 32.536 * * [simplify]: Extracting #1: cost 4 inf + 0 32.536 * * [simplify]: Extracting #2: cost 5 inf + 1 32.536 * * [simplify]: Extracting #3: cost 9 inf + 1 32.536 * * [simplify]: Extracting #4: cost 8 inf + 3 32.536 * * [simplify]: Extracting #5: cost 4 inf + 169 32.536 * * [simplify]: Extracting #6: cost 1 inf + 576 32.537 * * [simplify]: Extracting #7: cost 0 inf + 739 32.537 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 32.537 * [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)) (/ 1 (sqrt k)))) 32.537 * * * * [progress]: [ 16 / 197 ] simplifiying candidate # 32.538 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2)) 32.538 * * [simplify]: iters left: 5 (7 enodes) 32.542 * * [simplify]: iters left: 4 (25 enodes) 32.550 * * [simplify]: iters left: 3 (30 enodes) 32.555 * * [simplify]: Extracting #0: cost 1 inf + 0 32.555 * * [simplify]: Extracting #1: cost 4 inf + 0 32.555 * * [simplify]: Extracting #2: cost 8 inf + 0 32.555 * * [simplify]: Extracting #3: cost 10 inf + 82 32.555 * * [simplify]: Extracting #4: cost 7 inf + 206 32.555 * * [simplify]: Extracting #5: cost 2 inf + 495 32.556 * * [simplify]: Extracting #6: cost 1 inf + 698 32.556 * * [simplify]: Extracting #7: cost 0 inf + 901 32.556 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2)) 32.556 * [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))) (/ 1 (sqrt k)))) 32.556 * * * * [progress]: [ 17 / 197 ] simplifiying candidate # 32.556 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2)) 32.556 * * [simplify]: iters left: 5 (7 enodes) 32.558 * * [simplify]: iters left: 4 (25 enodes) 32.563 * * [simplify]: iters left: 3 (30 enodes) 32.568 * * [simplify]: Extracting #0: cost 1 inf + 0 32.568 * * [simplify]: Extracting #1: cost 4 inf + 0 32.568 * * [simplify]: Extracting #2: cost 8 inf + 0 32.569 * * [simplify]: Extracting #3: cost 10 inf + 42 32.569 * * [simplify]: Extracting #4: cost 7 inf + 126 32.569 * * [simplify]: Extracting #5: cost 2 inf + 415 32.569 * * [simplify]: Extracting #6: cost 1 inf + 578 32.569 * * [simplify]: Extracting #7: cost 0 inf + 741 32.569 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2)) 32.569 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))) (/ 1 (sqrt k)))) 32.569 * * * * [progress]: [ 18 / 197 ] simplifiying candidate # 32.570 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2) 32.570 * * [simplify]: iters left: 5 (6 enodes) 32.572 * * [simplify]: iters left: 4 (22 enodes) 32.576 * * [simplify]: iters left: 3 (27 enodes) 32.580 * * [simplify]: Extracting #0: cost 1 inf + 0 32.581 * * [simplify]: Extracting #1: cost 4 inf + 0 32.581 * * [simplify]: Extracting #2: cost 5 inf + 1 32.581 * * [simplify]: Extracting #3: cost 9 inf + 1 32.581 * * [simplify]: Extracting #4: cost 8 inf + 3 32.581 * * [simplify]: Extracting #5: cost 4 inf + 169 32.581 * * [simplify]: Extracting #6: cost 1 inf + 456 32.581 * * [simplify]: Extracting #7: cost 0 inf + 579 32.581 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 32.581 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)) (/ 1 (sqrt k)))) 32.581 * * * * [progress]: [ 19 / 197 ] simplifiying candidate # 32.581 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 32.581 * * [simplify]: iters left: 4 (6 enodes) 32.584 * * [simplify]: iters left: 3 (25 enodes) 32.591 * * [simplify]: iters left: 2 (36 enodes) 32.603 * * [simplify]: iters left: 1 (40 enodes) 32.615 * * [simplify]: Extracting #0: cost 1 inf + 0 32.615 * * [simplify]: Extracting #1: cost 7 inf + 0 32.615 * * [simplify]: Extracting #2: cost 16 inf + 0 32.615 * * [simplify]: Extracting #3: cost 13 inf + 44 32.615 * * [simplify]: Extracting #4: cost 3 inf + 1103 32.616 * * [simplify]: Extracting #5: cost 0 inf + 1469 32.616 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 32.616 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (/ 1 (sqrt k)))) 32.616 * * * * [progress]: [ 20 / 197 ] simplifiying candidate # 32.617 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 32.617 * * [simplify]: iters left: 4 (6 enodes) 32.621 * * [simplify]: iters left: 3 (25 enodes) 32.629 * * [simplify]: iters left: 2 (36 enodes) 32.637 * * [simplify]: iters left: 1 (40 enodes) 32.645 * * [simplify]: Extracting #0: cost 1 inf + 0 32.645 * * [simplify]: Extracting #1: cost 7 inf + 0 32.645 * * [simplify]: Extracting #2: cost 16 inf + 0 32.645 * * [simplify]: Extracting #3: cost 13 inf + 44 32.646 * * [simplify]: Extracting #4: cost 3 inf + 823 32.646 * * [simplify]: Extracting #5: cost 0 inf + 1069 32.646 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 32.646 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (/ 1 (sqrt k)))) 32.646 * * * * [progress]: [ 21 / 197 ] simplifiying candidate # 32.646 * [simplify]: Simplifying (/ (- 1 k) 2) 32.646 * * [simplify]: iters left: 4 (5 enodes) 32.648 * * [simplify]: iters left: 3 (23 enodes) 32.653 * * [simplify]: iters left: 2 (32 enodes) 32.658 * * [simplify]: iters left: 1 (34 enodes) 32.663 * * [simplify]: Extracting #0: cost 1 inf + 0 32.663 * * [simplify]: Extracting #1: cost 7 inf + 0 32.663 * * [simplify]: Extracting #2: cost 11 inf + 2 32.663 * * [simplify]: Extracting #3: cost 10 inf + 4 32.663 * * [simplify]: Extracting #4: cost 4 inf + 337 32.664 * * [simplify]: Extracting #5: cost 0 inf + 584 32.664 * [simplify]: Simplified to (/ (- 1 k) 2) 32.664 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 32.664 * * * * [progress]: [ 22 / 197 ] simplifiying candidate # 32.664 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 32.664 * * [simplify]: iters left: 5 (8 enodes) 32.668 * * [simplify]: iters left: 4 (31 enodes) 32.678 * * [simplify]: iters left: 3 (45 enodes) 32.692 * * [simplify]: iters left: 2 (52 enodes) 32.706 * * [simplify]: iters left: 1 (53 enodes) 32.717 * * [simplify]: Extracting #0: cost 1 inf + 0 32.717 * * [simplify]: Extracting #1: cost 8 inf + 0 32.717 * * [simplify]: Extracting #2: cost 18 inf + 0 32.717 * * [simplify]: Extracting #3: cost 19 inf + 2 32.717 * * [simplify]: Extracting #4: cost 9 inf + 977 32.718 * * [simplify]: Extracting #5: cost 2 inf + 1790 32.718 * * [simplify]: Extracting #6: cost 0 inf + 2195 32.718 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 32.719 * [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))) (/ 1 (sqrt k)))) 32.719 * * * * [progress]: [ 23 / 197 ] simplifiying candidate # 32.719 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 32.719 * * [simplify]: iters left: 5 (8 enodes) 32.722 * * [simplify]: iters left: 4 (31 enodes) 32.727 * * [simplify]: iters left: 3 (45 enodes) 32.734 * * [simplify]: iters left: 2 (52 enodes) 32.742 * * [simplify]: iters left: 1 (53 enodes) 32.755 * * [simplify]: Extracting #0: cost 1 inf + 0 32.755 * * [simplify]: Extracting #1: cost 8 inf + 0 32.756 * * [simplify]: Extracting #2: cost 18 inf + 0 32.756 * * [simplify]: Extracting #3: cost 19 inf + 2 32.756 * * [simplify]: Extracting #4: cost 9 inf + 697 32.757 * * [simplify]: Extracting #5: cost 2 inf + 1390 32.757 * * [simplify]: Extracting #6: cost 0 inf + 1715 32.757 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 32.757 * [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))) (/ 1 (sqrt k)))) 32.758 * * * * [progress]: [ 24 / 197 ] simplifiying candidate # 32.758 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 32.758 * * [simplify]: iters left: 5 (7 enodes) 32.761 * * [simplify]: iters left: 4 (29 enodes) 32.766 * * [simplify]: iters left: 3 (43 enodes) 32.773 * * [simplify]: iters left: 2 (48 enodes) 32.780 * * [simplify]: Extracting #0: cost 1 inf + 0 32.780 * * [simplify]: Extracting #1: cost 7 inf + 0 32.780 * * [simplify]: Extracting #2: cost 11 inf + 2 32.780 * * [simplify]: Extracting #3: cost 13 inf + 3 32.780 * * [simplify]: Extracting #4: cost 11 inf + 45 32.780 * * [simplify]: Extracting #5: cost 0 inf + 1066 32.780 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 32.780 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 32.780 * * * * [progress]: [ 25 / 197 ] simplifiying candidate # 32.781 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 32.781 * * [simplify]: iters left: 5 (7 enodes) 32.783 * * [simplify]: iters left: 4 (28 enodes) 32.788 * * [simplify]: iters left: 3 (39 enodes) 32.796 * * [simplify]: iters left: 2 (43 enodes) 32.808 * * [simplify]: Extracting #0: cost 1 inf + 0 32.808 * * [simplify]: Extracting #1: cost 7 inf + 0 32.809 * * [simplify]: Extracting #2: cost 16 inf + 0 32.809 * * [simplify]: Extracting #3: cost 15 inf + 164 32.809 * * [simplify]: Extracting #4: cost 13 inf + 287 32.809 * * [simplify]: Extracting #5: cost 5 inf + 1180 32.810 * * [simplify]: Extracting #6: cost 0 inf + 1951 32.810 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 32.810 * [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))) (/ 1 (sqrt k)))) 32.811 * * * * [progress]: [ 26 / 197 ] simplifiying candidate # 32.811 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 32.811 * * [simplify]: iters left: 5 (7 enodes) 32.815 * * [simplify]: iters left: 4 (28 enodes) 32.825 * * [simplify]: iters left: 3 (39 enodes) 32.837 * * [simplify]: iters left: 2 (43 enodes) 32.850 * * [simplify]: Extracting #0: cost 1 inf + 0 32.850 * * [simplify]: Extracting #1: cost 7 inf + 0 32.850 * * [simplify]: Extracting #2: cost 16 inf + 0 32.850 * * [simplify]: Extracting #3: cost 15 inf + 84 32.850 * * [simplify]: Extracting #4: cost 13 inf + 167 32.850 * * [simplify]: Extracting #5: cost 5 inf + 900 32.851 * * [simplify]: Extracting #6: cost 0 inf + 1551 32.852 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 32.852 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (/ 1 (sqrt k)))) 32.852 * * * * [progress]: [ 27 / 197 ] simplifiying candidate # 32.852 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 32.852 * * [simplify]: iters left: 5 (6 enodes) 32.856 * * [simplify]: iters left: 4 (26 enodes) 32.865 * * [simplify]: iters left: 3 (35 enodes) 32.876 * * [simplify]: iters left: 2 (37 enodes) 32.889 * * [simplify]: iters left: 1 (41 enodes) 32.901 * * [simplify]: Extracting #0: cost 1 inf + 0 32.902 * * [simplify]: Extracting #1: cost 7 inf + 0 32.902 * * [simplify]: Extracting #2: cost 11 inf + 2 32.902 * * [simplify]: Extracting #3: cost 13 inf + 3 32.902 * * [simplify]: Extracting #4: cost 12 inf + 4 32.902 * * [simplify]: Extracting #5: cost 6 inf + 412 32.902 * * [simplify]: Extracting #6: cost 2 inf + 821 32.903 * * [simplify]: Extracting #7: cost 0 inf + 1066 32.903 * [simplify]: Simplified to (- 1/2 (/ (sqrt k) 2)) 32.904 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (- 1/2 (/ (sqrt k) 2))) (/ 1 (sqrt k)))) 32.904 * * * * [progress]: [ 28 / 197 ] simplifiying candidate # 32.904 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 32.904 * * [simplify]: iters left: 4 (6 enodes) 32.908 * * [simplify]: iters left: 3 (25 enodes) 32.916 * * [simplify]: iters left: 2 (36 enodes) 32.921 * * [simplify]: iters left: 1 (40 enodes) 32.928 * * [simplify]: Extracting #0: cost 1 inf + 0 32.928 * * [simplify]: Extracting #1: cost 7 inf + 0 32.928 * * [simplify]: Extracting #2: cost 16 inf + 0 32.928 * * [simplify]: Extracting #3: cost 13 inf + 44 32.928 * * [simplify]: Extracting #4: cost 3 inf + 1103 32.929 * * [simplify]: Extracting #5: cost 0 inf + 1469 32.929 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 32.929 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (/ 1 (sqrt k)))) 32.929 * * * * [progress]: [ 29 / 197 ] simplifiying candidate # 32.929 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 32.929 * * [simplify]: iters left: 4 (6 enodes) 32.931 * * [simplify]: iters left: 3 (25 enodes) 32.936 * * [simplify]: iters left: 2 (36 enodes) 32.946 * * [simplify]: iters left: 1 (40 enodes) 32.959 * * [simplify]: Extracting #0: cost 1 inf + 0 32.959 * * [simplify]: Extracting #1: cost 7 inf + 0 32.959 * * [simplify]: Extracting #2: cost 16 inf + 0 32.959 * * [simplify]: Extracting #3: cost 13 inf + 44 32.959 * * [simplify]: Extracting #4: cost 3 inf + 823 32.960 * * [simplify]: Extracting #5: cost 0 inf + 1069 32.960 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 32.961 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (/ 1 (sqrt k)))) 32.961 * * * * [progress]: [ 30 / 197 ] simplifiying candidate # 32.961 * [simplify]: Simplifying (/ (- 1 k) 2) 32.961 * * [simplify]: iters left: 4 (5 enodes) 32.965 * * [simplify]: iters left: 3 (23 enodes) 32.973 * * [simplify]: iters left: 2 (32 enodes) 32.982 * * [simplify]: iters left: 1 (34 enodes) 32.987 * * [simplify]: Extracting #0: cost 1 inf + 0 32.987 * * [simplify]: Extracting #1: cost 7 inf + 0 32.987 * * [simplify]: Extracting #2: cost 11 inf + 2 32.987 * * [simplify]: Extracting #3: cost 10 inf + 4 32.987 * * [simplify]: Extracting #4: cost 4 inf + 337 32.988 * * [simplify]: Extracting #5: cost 0 inf + 584 32.988 * [simplify]: Simplified to (/ (- 1 k) 2) 32.988 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 32.988 * * * * [progress]: [ 31 / 197 ] simplifiying candidate # 32.988 * [simplify]: Simplifying (/ (- 1 k) 2) 32.988 * * [simplify]: iters left: 4 (5 enodes) 32.990 * * [simplify]: iters left: 3 (23 enodes) 32.994 * * [simplify]: iters left: 2 (32 enodes) 32.999 * * [simplify]: iters left: 1 (34 enodes) 33.007 * * [simplify]: Extracting #0: cost 1 inf + 0 33.007 * * [simplify]: Extracting #1: cost 7 inf + 0 33.007 * * [simplify]: Extracting #2: cost 11 inf + 2 33.007 * * [simplify]: Extracting #3: cost 10 inf + 4 33.007 * * [simplify]: Extracting #4: cost 4 inf + 337 33.007 * * [simplify]: Extracting #5: cost 0 inf + 584 33.007 * [simplify]: Simplified to (/ (- 1 k) 2) 33.007 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 33.007 * * * * [progress]: [ 32 / 197 ] simplifiying candidate # 33.008 * [simplify]: Simplifying (/ 1 2) 33.008 * * [simplify]: iters left: 2 (3 enodes) 33.009 * * [simplify]: iters left: 1 (12 enodes) 33.012 * * [simplify]: Extracting #0: cost 1 inf + 0 33.012 * * [simplify]: Extracting #1: cost 0 inf + 1 33.012 * [simplify]: Simplified to 1/2 33.012 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (- 1 k)) 1/2) (/ 1 (sqrt k)))) 33.012 * * * * [progress]: [ 33 / 197 ] simplifiying candidate # 33.012 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 33.012 * * [simplify]: iters left: 5 (7 enodes) 33.017 * * [simplify]: iters left: 4 (32 enodes) 33.029 * * [simplify]: iters left: 3 (57 enodes) 33.048 * * [simplify]: iters left: 2 (90 enodes) 33.072 * * [simplify]: iters left: 1 (170 enodes) 33.126 * * [simplify]: Extracting #0: cost 1 inf + 0 33.126 * * [simplify]: Extracting #1: cost 13 inf + 0 33.126 * * [simplify]: Extracting #2: cost 54 inf + 2 33.127 * * [simplify]: Extracting #3: cost 89 inf + 6 33.128 * * [simplify]: Extracting #4: cost 78 inf + 1344 33.131 * * [simplify]: Extracting #5: cost 20 inf + 14664 33.138 * * [simplify]: Extracting #6: cost 1 inf + 22045 33.146 * * [simplify]: Extracting #7: cost 0 inf + 21300 33.154 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 33.154 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (/ 1 (sqrt k)))) 33.154 * * * * [progress]: [ 34 / 197 ] simplifiying candidate # 33.154 * * * * [progress]: [ 35 / 197 ] simplifiying candidate # 33.154 * * * * [progress]: [ 36 / 197 ] simplifiying candidate # 33.154 * * * * [progress]: [ 37 / 197 ] simplifiying candidate # 33.154 * * * * [progress]: [ 38 / 197 ] simplifiying candidate # 33.155 * * * * [progress]: [ 39 / 197 ] simplifiying candidate # 33.155 * * * * [progress]: [ 40 / 197 ] simplifiying candidate # 33.155 * * * * [progress]: [ 41 / 197 ] simplifiying candidate # 33.155 * * * * [progress]: [ 42 / 197 ] simplifiying candidate #real (real->posit16 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ 1 (sqrt k))))> 33.155 * * * * [progress]: [ 43 / 197 ] simplifiying candidate # 33.155 * * * * [progress]: [ 44 / 197 ] simplifiying candidate # 33.155 * * * * [progress]: [ 45 / 197 ] simplifiying candidate # 33.155 * * * * [progress]: [ 46 / 197 ] simplifiying candidate # 33.155 * [simplify]: Simplifying (- 1/2) 33.155 * * [simplify]: iters left: 2 (2 enodes) 33.158 * * [simplify]: iters left: 1 (7 enodes) 33.160 * * [simplify]: Extracting #0: cost 1 inf + 0 33.160 * * [simplify]: Extracting #1: cost 0 inf + 1 33.160 * [simplify]: Simplified to -1/2 33.160 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2))) 33.160 * * * * [progress]: [ 47 / 197 ] simplifiying candidate # 33.160 * [simplify]: Simplifying (- 1) 33.161 * * [simplify]: iters left: 2 (2 enodes) 33.163 * * [simplify]: iters left: 1 (9 enodes) 33.166 * * [simplify]: Extracting #0: cost 1 inf + 0 33.166 * * [simplify]: Extracting #1: cost 0 inf + 1 33.166 * [simplify]: Simplified to -1 33.166 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (sqrt k) -1))) 33.166 * * * * [progress]: [ 48 / 197 ] simplifiying candidate # 33.166 * [simplify]: Simplifying (- (/ 1 2)) 33.166 * * [simplify]: iters left: 4 (4 enodes) 33.170 * * [simplify]: iters left: 3 (19 enodes) 33.173 * * [simplify]: iters left: 2 (23 enodes) 33.178 * * [simplify]: Extracting #0: cost 1 inf + 0 33.178 * * [simplify]: Extracting #1: cost 0 inf + 1 33.178 * [simplify]: Simplified to -1/2 33.178 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2))) 33.178 * * * * [progress]: [ 49 / 197 ] simplifiying candidate # 33.178 * * * * [progress]: [ 50 / 197 ] simplifiying candidate # 33.178 * * * * [progress]: [ 51 / 197 ] simplifiying candidate # 33.178 * [simplify]: Simplifying (- 0 (log (sqrt k))) 33.178 * * [simplify]: iters left: 4 (5 enodes) 33.180 * * [simplify]: iters left: 3 (17 enodes) 33.183 * * [simplify]: iters left: 2 (21 enodes) 33.186 * * [simplify]: iters left: 1 (23 enodes) 33.189 * * [simplify]: Extracting #0: cost 1 inf + 0 33.189 * * [simplify]: Extracting #1: cost 4 inf + 0 33.189 * * [simplify]: Extracting #2: cost 5 inf + 1 33.189 * * [simplify]: Extracting #3: cost 7 inf + 1 33.189 * * [simplify]: Extracting #4: cost 0 inf + 608 33.189 * [simplify]: Simplified to (- (log (sqrt k))) 33.189 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (exp (- (log (sqrt k)))))) 33.189 * * * * [progress]: [ 52 / 197 ] simplifiying candidate # 33.190 * [simplify]: Simplifying (- (log 1) (log (sqrt k))) 33.190 * * [simplify]: iters left: 4 (6 enodes) 33.192 * * [simplify]: iters left: 3 (22 enodes) 33.195 * * [simplify]: Extracting #0: cost 1 inf + 0 33.195 * * [simplify]: Extracting #1: cost 4 inf + 0 33.195 * * [simplify]: Extracting #2: cost 5 inf + 1 33.195 * * [simplify]: Extracting #3: cost 7 inf + 1 33.195 * * [simplify]: Extracting #4: cost 6 inf + 2 33.195 * * [simplify]: Extracting #5: cost 1 inf + 457 33.196 * * [simplify]: Extracting #6: cost 0 inf + 608 33.196 * [simplify]: Simplified to (- (log (sqrt k))) 33.196 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (exp (- (log (sqrt k)))))) 33.196 * * * * [progress]: [ 53 / 197 ] simplifiying candidate # 33.196 * * * * [progress]: [ 54 / 197 ] simplifiying candidate # 33.196 * * * * [progress]: [ 55 / 197 ] simplifiying candidate # 33.196 * [simplify]: Simplifying (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))) 33.196 * * [simplify]: iters left: 6 (8 enodes) 33.199 * * [simplify]: iters left: 5 (26 enodes) 33.207 * * [simplify]: iters left: 4 (43 enodes) 33.220 * * [simplify]: iters left: 3 (59 enodes) 33.231 * * [simplify]: iters left: 2 (67 enodes) 33.242 * * [simplify]: iters left: 1 (69 enodes) 33.251 * * [simplify]: Extracting #0: cost 1 inf + 0 33.251 * * [simplify]: Extracting #1: cost 14 inf + 0 33.251 * * [simplify]: Extracting #2: cost 18 inf + 2 33.252 * * [simplify]: Extracting #3: cost 7 inf + 701 33.252 * * [simplify]: Extracting #4: cost 0 inf + 1234 33.252 * [simplify]: Simplified to (/ (/ 1 k) (sqrt k)) 33.252 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (/ (/ 1 k) (sqrt k))))) 33.252 * * * * [progress]: [ 56 / 197 ] simplifiying candidate # 33.252 * * * * [progress]: [ 57 / 197 ] simplifiying candidate # 33.252 * * * * [progress]: [ 58 / 197 ] simplifiying candidate # 33.253 * * * * [progress]: [ 59 / 197 ] simplifiying candidate # 33.253 * * * * [progress]: [ 60 / 197 ] simplifiying candidate # 33.253 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 33.253 * * [simplify]: iters left: 6 (8 enodes) 33.255 * * [simplify]: iters left: 5 (32 enodes) 33.265 * * [simplify]: iters left: 4 (48 enodes) 33.280 * * [simplify]: iters left: 3 (76 enodes) 33.303 * * [simplify]: iters left: 2 (81 enodes) 33.316 * * [simplify]: Extracting #0: cost 1 inf + 0 33.316 * * [simplify]: Extracting #1: cost 6 inf + 0 33.316 * * [simplify]: Extracting #2: cost 9 inf + 1 33.316 * * [simplify]: Extracting #3: cost 11 inf + 1 33.317 * * [simplify]: Extracting #4: cost 2 inf + 1052 33.317 * * [simplify]: Extracting #5: cost 0 inf + 1376 33.318 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 33.318 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1) (cbrt (sqrt k)))))) 33.318 * [simplify]: Simplifying (/ (cbrt 1) (cbrt (sqrt k))) 33.318 * * [simplify]: iters left: 4 (6 enodes) 33.322 * * [simplify]: iters left: 3 (20 enodes) 33.328 * * [simplify]: iters left: 2 (22 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 1 inf + 488 33.335 * * [simplify]: Extracting #5: cost 0 inf + 650 33.335 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 33.335 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))))) 33.335 * * * * [progress]: [ 61 / 197 ] simplifiying candidate # 33.335 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) 33.335 * * [simplify]: iters left: 6 (8 enodes) 33.340 * * [simplify]: iters left: 5 (29 enodes) 33.349 * * [simplify]: iters left: 4 (31 enodes) 33.354 * * [simplify]: iters left: 3 (32 enodes) 33.359 * * [simplify]: iters left: 2 (33 enodes) 33.365 * * [simplify]: Extracting #0: cost 1 inf + 0 33.365 * * [simplify]: Extracting #1: cost 4 inf + 0 33.365 * * [simplify]: Extracting #2: cost 6 inf + 1 33.365 * * [simplify]: Extracting #3: cost 9 inf + 1 33.365 * * [simplify]: Extracting #4: cost 8 inf + 2 33.365 * * [simplify]: Extracting #5: cost 2 inf + 729 33.365 * * [simplify]: Extracting #6: cost 0 inf + 972 33.366 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 33.366 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (fabs (cbrt k))) (/ (cbrt 1) (sqrt (cbrt k)))))) 33.366 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (cbrt k))) 33.366 * * [simplify]: iters left: 4 (6 enodes) 33.368 * * [simplify]: iters left: 3 (20 enodes) 33.371 * * [simplify]: iters left: 2 (22 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 33.375 * * [simplify]: Extracting #3: cost 7 inf + 1 33.375 * * [simplify]: Extracting #4: cost 1 inf + 568 33.375 * * [simplify]: Extracting #5: cost 0 inf + 730 33.375 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 33.375 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))))) 33.375 * * * * [progress]: [ 62 / 197 ] simplifiying candidate # 33.375 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 33.375 * * [simplify]: iters left: 5 (7 enodes) 33.379 * * [simplify]: iters left: 4 (25 enodes) 33.386 * * [simplify]: iters left: 3 (27 enodes) 33.390 * * [simplify]: iters left: 2 (28 enodes) 33.394 * * [simplify]: iters left: 1 (29 enodes) 33.398 * * [simplify]: Extracting #0: cost 1 inf + 0 33.398 * * [simplify]: Extracting #1: cost 4 inf + 0 33.398 * * [simplify]: Extracting #2: cost 5 inf + 1 33.398 * * [simplify]: Extracting #3: cost 7 inf + 1 33.398 * * [simplify]: Extracting #4: cost 6 inf + 2 33.398 * * [simplify]: Extracting #5: cost 2 inf + 368 33.398 * * [simplify]: Extracting #6: cost 0 inf + 490 33.398 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 33.398 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k)))))) 33.399 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt k))) 33.399 * * [simplify]: iters left: 4 (6 enodes) 33.401 * * [simplify]: iters left: 3 (20 enodes) 33.404 * * [simplify]: iters left: 2 (22 enodes) 33.407 * * [simplify]: Extracting #0: cost 1 inf + 0 33.407 * * [simplify]: Extracting #1: cost 4 inf + 0 33.407 * * [simplify]: Extracting #2: cost 5 inf + 1 33.407 * * [simplify]: Extracting #3: cost 7 inf + 1 33.407 * * [simplify]: Extracting #4: cost 1 inf + 368 33.408 * * [simplify]: Extracting #5: cost 0 inf + 490 33.408 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 33.408 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 33.408 * * * * [progress]: [ 63 / 197 ] simplifiying candidate # 33.408 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) 33.408 * * [simplify]: iters left: 5 (5 enodes) 33.413 * * [simplify]: iters left: 4 (19 enodes) 33.419 * * [simplify]: iters left: 3 (21 enodes) 33.423 * * [simplify]: Extracting #0: cost 1 inf + 0 33.423 * * [simplify]: Extracting #1: cost 0 inf + 1 33.423 * [simplify]: Simplified to 1 33.423 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ (cbrt 1) (sqrt k))))) 33.424 * [simplify]: Simplifying (/ (cbrt 1) (sqrt k)) 33.424 * * [simplify]: iters left: 3 (5 enodes) 33.428 * * [simplify]: iters left: 2 (17 enodes) 33.433 * * [simplify]: iters left: 1 (19 enodes) 33.439 * * [simplify]: Extracting #0: cost 1 inf + 0 33.439 * * [simplify]: Extracting #1: cost 4 inf + 0 33.439 * * [simplify]: Extracting #2: cost 5 inf + 1 33.439 * * [simplify]: Extracting #3: cost 0 inf + 248 33.439 * [simplify]: Simplified to (/ 1 (sqrt k)) 33.439 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k))))) 33.439 * * * * [progress]: [ 64 / 197 ] simplifiying candidate # 33.439 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 33.440 * * [simplify]: iters left: 5 (7 enodes) 33.444 * * [simplify]: iters left: 4 (25 enodes) 33.451 * * [simplify]: iters left: 3 (27 enodes) 33.455 * * [simplify]: iters left: 2 (28 enodes) 33.461 * * [simplify]: iters left: 1 (29 enodes) 33.465 * * [simplify]: Extracting #0: cost 1 inf + 0 33.465 * * [simplify]: Extracting #1: cost 4 inf + 0 33.465 * * [simplify]: Extracting #2: cost 5 inf + 1 33.465 * * [simplify]: Extracting #3: cost 7 inf + 1 33.465 * * [simplify]: Extracting #4: cost 6 inf + 2 33.465 * * [simplify]: Extracting #5: cost 2 inf + 368 33.465 * * [simplify]: Extracting #6: cost 0 inf + 490 33.465 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 33.465 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k)))))) 33.465 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt k))) 33.465 * * [simplify]: iters left: 4 (6 enodes) 33.467 * * [simplify]: iters left: 3 (20 enodes) 33.473 * * [simplify]: iters left: 2 (22 enodes) 33.477 * * [simplify]: Extracting #0: cost 1 inf + 0 33.477 * * [simplify]: Extracting #1: cost 4 inf + 0 33.477 * * [simplify]: Extracting #2: cost 5 inf + 1 33.477 * * [simplify]: Extracting #3: cost 7 inf + 1 33.477 * * [simplify]: Extracting #4: cost 1 inf + 368 33.477 * * [simplify]: Extracting #5: cost 0 inf + 490 33.478 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 33.478 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 33.478 * * * * [progress]: [ 65 / 197 ] simplifiying candidate # 33.478 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) 1) 33.478 * * [simplify]: iters left: 5 (4 enodes) 33.485 * * [simplify]: iters left: 4 (14 enodes) 33.488 * * [simplify]: iters left: 3 (16 enodes) 33.491 * * [simplify]: Extracting #0: cost 1 inf + 0 33.492 * * [simplify]: Extracting #1: cost 0 inf + 1 33.492 * [simplify]: Simplified to 1 33.492 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ (cbrt 1) (sqrt k))))) 33.492 * [simplify]: Simplifying (/ (cbrt 1) (sqrt k)) 33.492 * * [simplify]: iters left: 3 (5 enodes) 33.496 * * [simplify]: iters left: 2 (17 enodes) 33.501 * * [simplify]: iters left: 1 (19 enodes) 33.507 * * [simplify]: Extracting #0: cost 1 inf + 0 33.507 * * [simplify]: Extracting #1: cost 4 inf + 0 33.507 * * [simplify]: Extracting #2: cost 5 inf + 1 33.507 * * [simplify]: Extracting #3: cost 0 inf + 248 33.507 * [simplify]: Simplified to (/ 1 (sqrt k)) 33.507 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k))))) 33.507 * * * * [progress]: [ 66 / 197 ] simplifiying candidate # 33.508 * [simplify]: Simplifying (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 33.508 * * [simplify]: iters left: 6 (7 enodes) 33.513 * * [simplify]: iters left: 5 (25 enodes) 33.521 * * [simplify]: iters left: 4 (32 enodes) 33.530 * * [simplify]: iters left: 3 (34 enodes) 33.540 * * [simplify]: Extracting #0: cost 1 inf + 0 33.540 * * [simplify]: Extracting #1: cost 7 inf + 0 33.540 * * [simplify]: Extracting #2: cost 11 inf + 1 33.540 * * [simplify]: Extracting #3: cost 13 inf + 1 33.540 * * [simplify]: Extracting #4: cost 10 inf + 84 33.540 * * [simplify]: Extracting #5: cost 4 inf + 1014 33.541 * * [simplify]: Extracting #6: cost 1 inf + 1498 33.541 * * [simplify]: Extracting #7: cost 0 inf + 1700 33.542 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 33.542 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (sqrt 1) (cbrt (sqrt k)))))) 33.542 * [simplify]: Simplifying (/ (sqrt 1) (cbrt (sqrt k))) 33.542 * * [simplify]: iters left: 4 (6 enodes) 33.546 * * [simplify]: iters left: 3 (20 enodes) 33.553 * * [simplify]: iters left: 2 (22 enodes) 33.560 * * [simplify]: Extracting #0: cost 1 inf + 0 33.560 * * [simplify]: Extracting #1: cost 4 inf + 0 33.560 * * [simplify]: Extracting #2: cost 5 inf + 1 33.560 * * [simplify]: Extracting #3: cost 7 inf + 1 33.560 * * [simplify]: Extracting #4: cost 1 inf + 488 33.560 * * [simplify]: Extracting #5: cost 0 inf + 650 33.560 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 33.560 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))))) 33.561 * * * * [progress]: [ 67 / 197 ] simplifiying candidate # 33.561 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) 33.561 * * [simplify]: iters left: 6 (7 enodes) 33.565 * * [simplify]: iters left: 5 (24 enodes) 33.569 * * [simplify]: iters left: 4 (26 enodes) 33.574 * * [simplify]: Extracting #0: cost 1 inf + 0 33.574 * * [simplify]: Extracting #1: cost 4 inf + 0 33.574 * * [simplify]: Extracting #2: cost 6 inf + 1 33.574 * * [simplify]: Extracting #3: cost 9 inf + 1 33.574 * * [simplify]: Extracting #4: cost 8 inf + 2 33.574 * * [simplify]: Extracting #5: cost 2 inf + 730 33.574 * * [simplify]: Extracting #6: cost 0 inf + 972 33.574 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 33.574 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (fabs (cbrt k))) (/ (sqrt 1) (sqrt (cbrt k)))))) 33.575 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (cbrt k))) 33.575 * * [simplify]: iters left: 4 (6 enodes) 33.577 * * [simplify]: iters left: 3 (20 enodes) 33.580 * * [simplify]: iters left: 2 (22 enodes) 33.584 * * [simplify]: Extracting #0: cost 1 inf + 0 33.584 * * [simplify]: Extracting #1: cost 4 inf + 0 33.584 * * [simplify]: Extracting #2: cost 5 inf + 1 33.584 * * [simplify]: Extracting #3: cost 7 inf + 1 33.584 * * [simplify]: Extracting #4: cost 1 inf + 568 33.584 * * [simplify]: Extracting #5: cost 0 inf + 730 33.584 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 33.584 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))))) 33.584 * * * * [progress]: [ 68 / 197 ] simplifiying candidate # 33.584 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 33.585 * * [simplify]: iters left: 4 (6 enodes) 33.587 * * [simplify]: iters left: 3 (20 enodes) 33.590 * * [simplify]: iters left: 2 (22 enodes) 33.593 * * [simplify]: Extracting #0: cost 1 inf + 0 33.593 * * [simplify]: Extracting #1: cost 4 inf + 0 33.594 * * [simplify]: Extracting #2: cost 5 inf + 1 33.594 * * [simplify]: Extracting #3: cost 7 inf + 1 33.594 * * [simplify]: Extracting #4: cost 1 inf + 368 33.594 * * [simplify]: Extracting #5: cost 0 inf + 490 33.594 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 33.594 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k)))))) 33.594 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 33.594 * * [simplify]: iters left: 4 (6 enodes) 33.596 * * [simplify]: iters left: 3 (20 enodes) 33.600 * * [simplify]: iters left: 2 (22 enodes) 33.605 * * [simplify]: Extracting #0: cost 1 inf + 0 33.605 * * [simplify]: Extracting #1: cost 4 inf + 0 33.605 * * [simplify]: Extracting #2: cost 5 inf + 1 33.605 * * [simplify]: Extracting #3: cost 7 inf + 1 33.606 * * [simplify]: Extracting #4: cost 1 inf + 368 33.606 * * [simplify]: Extracting #5: cost 0 inf + 490 33.606 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 33.606 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 33.606 * * * * [progress]: [ 69 / 197 ] simplifiying candidate # 33.606 * [simplify]: Simplifying (/ (sqrt 1) (sqrt 1)) 33.606 * * [simplify]: iters left: 3 (3 enodes) 33.608 * * [simplify]: iters left: 2 (9 enodes) 33.610 * * [simplify]: iters left: 1 (11 enodes) 33.611 * * [simplify]: Extracting #0: cost 1 inf + 0 33.611 * * [simplify]: Extracting #1: cost 0 inf + 1 33.611 * [simplify]: Simplified to 1 33.611 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ (sqrt 1) (sqrt k))))) 33.612 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k)) 33.612 * * [simplify]: iters left: 3 (5 enodes) 33.614 * * [simplify]: iters left: 2 (17 enodes) 33.617 * * [simplify]: iters left: 1 (19 enodes) 33.622 * * [simplify]: Extracting #0: cost 1 inf + 0 33.623 * * [simplify]: Extracting #1: cost 4 inf + 0 33.623 * * [simplify]: Extracting #2: cost 5 inf + 1 33.623 * * [simplify]: Extracting #3: cost 0 inf + 248 33.623 * [simplify]: Simplified to (/ 1 (sqrt k)) 33.623 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k))))) 33.623 * * * * [progress]: [ 70 / 197 ] simplifiying candidate # 33.623 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 33.623 * * [simplify]: iters left: 4 (6 enodes) 33.627 * * [simplify]: iters left: 3 (20 enodes) 33.633 * * [simplify]: iters left: 2 (22 enodes) 33.640 * * [simplify]: Extracting #0: cost 1 inf + 0 33.640 * * [simplify]: Extracting #1: cost 4 inf + 0 33.640 * * [simplify]: Extracting #2: cost 5 inf + 1 33.640 * * [simplify]: Extracting #3: cost 7 inf + 1 33.640 * * [simplify]: Extracting #4: cost 1 inf + 368 33.641 * * [simplify]: Extracting #5: cost 0 inf + 490 33.641 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 33.641 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k)))))) 33.641 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 33.641 * * [simplify]: iters left: 4 (6 enodes) 33.646 * * [simplify]: iters left: 3 (20 enodes) 33.653 * * [simplify]: iters left: 2 (22 enodes) 33.659 * * [simplify]: Extracting #0: cost 1 inf + 0 33.659 * * [simplify]: Extracting #1: cost 4 inf + 0 33.659 * * [simplify]: Extracting #2: cost 5 inf + 1 33.659 * * [simplify]: Extracting #3: cost 7 inf + 1 33.659 * * [simplify]: Extracting #4: cost 1 inf + 368 33.660 * * [simplify]: Extracting #5: cost 0 inf + 490 33.660 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 33.660 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 33.660 * * * * [progress]: [ 71 / 197 ] simplifiying candidate # 33.660 * [simplify]: Simplifying (/ (sqrt 1) 1) 33.660 * * [simplify]: iters left: 3 (3 enodes) 33.664 * * [simplify]: iters left: 2 (9 enodes) 33.667 * * [simplify]: iters left: 1 (11 enodes) 33.669 * * [simplify]: Extracting #0: cost 1 inf + 0 33.670 * * [simplify]: Extracting #1: cost 0 inf + 1 33.670 * [simplify]: Simplified to 1 33.670 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ (sqrt 1) (sqrt k))))) 33.670 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k)) 33.670 * * [simplify]: iters left: 3 (5 enodes) 33.672 * * [simplify]: iters left: 2 (17 enodes) 33.675 * * [simplify]: iters left: 1 (19 enodes) 33.678 * * [simplify]: Extracting #0: cost 1 inf + 0 33.679 * * [simplify]: Extracting #1: cost 4 inf + 0 33.679 * * [simplify]: Extracting #2: cost 5 inf + 1 33.679 * * [simplify]: Extracting #3: cost 0 inf + 248 33.679 * [simplify]: Simplified to (/ 1 (sqrt k)) 33.679 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k))))) 33.679 * * * * [progress]: [ 72 / 197 ] simplifiying candidate # 33.679 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 33.679 * * [simplify]: iters left: 6 (6 enodes) 33.681 * * [simplify]: iters left: 5 (22 enodes) 33.685 * * [simplify]: iters left: 4 (26 enodes) 33.689 * * [simplify]: Extracting #0: cost 1 inf + 0 33.689 * * [simplify]: Extracting #1: cost 6 inf + 0 33.689 * * [simplify]: Extracting #2: cost 9 inf + 1 33.690 * * [simplify]: Extracting #3: cost 11 inf + 1 33.690 * * [simplify]: Extracting #4: cost 8 inf + 84 33.690 * * [simplify]: Extracting #5: cost 2 inf + 1013 33.690 * * [simplify]: Extracting #6: cost 0 inf + 1376 33.690 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 33.690 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))))) 33.690 * [simplify]: Simplifying (/ 1 (cbrt (sqrt k))) 33.690 * * [simplify]: iters left: 4 (5 enodes) 33.692 * * [simplify]: iters left: 3 (17 enodes) 33.695 * * [simplify]: iters left: 2 (19 enodes) 33.698 * * [simplify]: Extracting #0: cost 1 inf + 0 33.698 * * [simplify]: Extracting #1: cost 4 inf + 0 33.698 * * [simplify]: Extracting #2: cost 5 inf + 1 33.698 * * [simplify]: Extracting #3: cost 7 inf + 1 33.698 * * [simplify]: Extracting #4: cost 0 inf + 650 33.698 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 33.698 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))))) 33.698 * * * * [progress]: [ 73 / 197 ] simplifiying candidate # 33.699 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt k) (cbrt k)))) 33.699 * * [simplify]: iters left: 6 (6 enodes) 33.700 * * [simplify]: iters left: 5 (21 enodes) 33.704 * * [simplify]: iters left: 4 (23 enodes) 33.708 * * [simplify]: Extracting #0: cost 1 inf + 0 33.708 * * [simplify]: Extracting #1: cost 4 inf + 0 33.708 * * [simplify]: Extracting #2: cost 6 inf + 1 33.708 * * [simplify]: Extracting #3: cost 9 inf + 1 33.708 * * [simplify]: Extracting #4: cost 8 inf + 2 33.708 * * [simplify]: Extracting #5: cost 1 inf + 810 33.708 * * [simplify]: Extracting #6: cost 0 inf + 972 33.708 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 33.708 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))))) 33.708 * [simplify]: Simplifying (/ 1 (sqrt (cbrt k))) 33.708 * * [simplify]: iters left: 4 (5 enodes) 33.710 * * [simplify]: iters left: 3 (17 enodes) 33.713 * * [simplify]: iters left: 2 (19 enodes) 33.719 * * [simplify]: Extracting #0: cost 1 inf + 0 33.719 * * [simplify]: Extracting #1: cost 4 inf + 0 33.719 * * [simplify]: Extracting #2: cost 5 inf + 1 33.719 * * [simplify]: Extracting #3: cost 7 inf + 1 33.719 * * [simplify]: Extracting #4: cost 0 inf + 730 33.719 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 33.719 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))))) 33.719 * * * * [progress]: [ 74 / 197 ] simplifiying candidate # 33.720 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 33.720 * * [simplify]: iters left: 4 (5 enodes) 33.725 * * [simplify]: iters left: 3 (17 enodes) 33.730 * * [simplify]: iters left: 2 (19 enodes) 33.736 * * [simplify]: Extracting #0: cost 1 inf + 0 33.737 * * [simplify]: Extracting #1: cost 4 inf + 0 33.737 * * [simplify]: Extracting #2: cost 5 inf + 1 33.737 * * [simplify]: Extracting #3: cost 7 inf + 1 33.737 * * [simplify]: Extracting #4: cost 0 inf + 490 33.737 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 33.737 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 33.737 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 33.738 * * [simplify]: iters left: 4 (5 enodes) 33.740 * * [simplify]: iters left: 3 (17 enodes) 33.746 * * [simplify]: iters left: 2 (19 enodes) 33.752 * * [simplify]: Extracting #0: cost 1 inf + 0 33.752 * * [simplify]: Extracting #1: cost 4 inf + 0 33.752 * * [simplify]: Extracting #2: cost 5 inf + 1 33.752 * * [simplify]: Extracting #3: cost 7 inf + 1 33.752 * * [simplify]: Extracting #4: cost 0 inf + 490 33.753 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 33.753 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 33.753 * * * * [progress]: [ 75 / 197 ] simplifiying candidate # 33.753 * [simplify]: Simplifying (/ 1 (sqrt 1)) 33.753 * * [simplify]: iters left: 3 (3 enodes) 33.759 * * [simplify]: iters left: 2 (11 enodes) 33.762 * * [simplify]: iters left: 1 (13 enodes) 33.766 * * [simplify]: Extracting #0: cost 1 inf + 0 33.766 * * [simplify]: Extracting #1: cost 0 inf + 1 33.766 * [simplify]: Simplified to 1 33.766 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k))))) 33.766 * [simplify]: Simplifying (/ 1 (sqrt k)) 33.766 * * [simplify]: iters left: 3 (4 enodes) 33.768 * * [simplify]: iters left: 2 (14 enodes) 33.773 * * [simplify]: iters left: 1 (16 enodes) 33.778 * * [simplify]: Extracting #0: cost 1 inf + 0 33.779 * * [simplify]: Extracting #1: cost 4 inf + 0 33.779 * * [simplify]: Extracting #2: cost 5 inf + 1 33.779 * * [simplify]: Extracting #3: cost 3 inf + 43 33.779 * * [simplify]: Extracting #4: cost 1 inf + 166 33.779 * * [simplify]: Extracting #5: cost 0 inf + 248 33.779 * [simplify]: Simplified to (/ 1 (sqrt k)) 33.779 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k))))) 33.779 * * * * [progress]: [ 76 / 197 ] simplifiying candidate # 33.780 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 33.780 * * [simplify]: iters left: 4 (5 enodes) 33.782 * * [simplify]: iters left: 3 (17 enodes) 33.788 * * [simplify]: iters left: 2 (19 enodes) 33.794 * * [simplify]: Extracting #0: cost 1 inf + 0 33.794 * * [simplify]: Extracting #1: cost 4 inf + 0 33.794 * * [simplify]: Extracting #2: cost 5 inf + 1 33.794 * * [simplify]: Extracting #3: cost 7 inf + 1 33.794 * * [simplify]: Extracting #4: cost 0 inf + 490 33.795 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 33.795 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 33.795 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 33.795 * * [simplify]: iters left: 4 (5 enodes) 33.798 * * [simplify]: iters left: 3 (17 enodes) 33.804 * * [simplify]: iters left: 2 (19 enodes) 33.810 * * [simplify]: Extracting #0: cost 1 inf + 0 33.810 * * [simplify]: Extracting #1: cost 4 inf + 0 33.810 * * [simplify]: Extracting #2: cost 5 inf + 1 33.810 * * [simplify]: Extracting #3: cost 7 inf + 1 33.810 * * [simplify]: Extracting #4: cost 0 inf + 490 33.811 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 33.811 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 33.811 * * * * [progress]: [ 77 / 197 ] simplifiying candidate # 33.811 * [simplify]: Simplifying (/ 1 1) 33.811 * * [simplify]: iters left: 2 (2 enodes) 33.813 * * [simplify]: iters left: 1 (6 enodes) 33.816 * * [simplify]: Extracting #0: cost 1 inf + 0 33.816 * * [simplify]: Extracting #1: cost 0 inf + 1 33.816 * [simplify]: Simplified to 1 33.816 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k))))) 33.816 * [simplify]: Simplifying (/ 1 (sqrt k)) 33.816 * * [simplify]: iters left: 3 (4 enodes) 33.819 * * [simplify]: iters left: 2 (14 enodes) 33.823 * * [simplify]: iters left: 1 (16 enodes) 33.828 * * [simplify]: Extracting #0: cost 1 inf + 0 33.828 * * [simplify]: Extracting #1: cost 4 inf + 0 33.828 * * [simplify]: Extracting #2: cost 5 inf + 1 33.828 * * [simplify]: Extracting #3: cost 3 inf + 43 33.828 * * [simplify]: Extracting #4: cost 1 inf + 166 33.829 * * [simplify]: Extracting #5: cost 0 inf + 248 33.829 * [simplify]: Simplified to (/ 1 (sqrt k)) 33.829 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k))))) 33.829 * * * * [progress]: [ 78 / 197 ] simplifiying candidate # 33.829 * * * * [progress]: [ 79 / 197 ] simplifiying candidate # 33.829 * * * * [progress]: [ 80 / 197 ] simplifiying candidate # 33.829 * * * * [progress]: [ 81 / 197 ] simplifiying candidate # 33.829 * [simplify]: Simplifying (cbrt (sqrt k)) 33.829 * * [simplify]: iters left: 2 (3 enodes) 33.831 * * [simplify]: iters left: 1 (9 enodes) 33.833 * * [simplify]: Extracting #0: cost 1 inf + 0 33.833 * * [simplify]: Extracting #1: cost 3 inf + 0 33.833 * * [simplify]: Extracting #2: cost 5 inf + 0 33.833 * * [simplify]: Extracting #3: cost 4 inf + 1 33.833 * * [simplify]: Extracting #4: cost 0 inf + 325 33.833 * [simplify]: Simplified to (cbrt (sqrt k)) 33.833 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))))) 33.834 * * * * [progress]: [ 82 / 197 ] simplifiying candidate # 33.834 * [simplify]: Simplifying (sqrt (cbrt k)) 33.834 * * [simplify]: iters left: 2 (3 enodes) 33.835 * * [simplify]: iters left: 1 (9 enodes) 33.837 * * [simplify]: Extracting #0: cost 1 inf + 0 33.838 * * [simplify]: Extracting #1: cost 3 inf + 0 33.838 * * [simplify]: Extracting #2: cost 5 inf + 0 33.838 * * [simplify]: Extracting #3: cost 4 inf + 1 33.838 * * [simplify]: Extracting #4: cost 0 inf + 405 33.838 * [simplify]: Simplified to (sqrt (cbrt k)) 33.838 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k))))) 33.838 * * * * [progress]: [ 83 / 197 ] simplifiying candidate # 33.838 * [simplify]: Simplifying (sqrt (sqrt k)) 33.838 * * [simplify]: iters left: 2 (3 enodes) 33.840 * * [simplify]: iters left: 1 (9 enodes) 33.842 * * [simplify]: Extracting #0: cost 1 inf + 0 33.842 * * [simplify]: Extracting #1: cost 3 inf + 0 33.842 * * [simplify]: Extracting #2: cost 5 inf + 0 33.842 * * [simplify]: Extracting #3: cost 4 inf + 1 33.842 * * [simplify]: Extracting #4: cost 0 inf + 245 33.842 * [simplify]: Simplified to (sqrt (sqrt k)) 33.842 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))))) 33.843 * * * * [progress]: [ 84 / 197 ] simplifiying candidate # 33.843 * [simplify]: Simplifying (sqrt k) 33.843 * * [simplify]: iters left: 1 (2 enodes) 33.844 * * [simplify]: Extracting #0: cost 1 inf + 0 33.844 * * [simplify]: Extracting #1: cost 3 inf + 0 33.844 * * [simplify]: Extracting #2: cost 2 inf + 1 33.844 * * [simplify]: Extracting #3: cost 0 inf + 83 33.844 * [simplify]: Simplified to (sqrt k) 33.844 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (/ 1 (sqrt 1)) (sqrt k)))) 33.844 * * * * [progress]: [ 85 / 197 ] simplifiying candidate # 33.844 * [simplify]: Simplifying (sqrt (sqrt k)) 33.844 * * [simplify]: iters left: 2 (3 enodes) 33.846 * * [simplify]: iters left: 1 (9 enodes) 33.848 * * [simplify]: Extracting #0: cost 1 inf + 0 33.848 * * [simplify]: Extracting #1: cost 3 inf + 0 33.848 * * [simplify]: Extracting #2: cost 5 inf + 0 33.848 * * [simplify]: Extracting #3: cost 4 inf + 1 33.848 * * [simplify]: Extracting #4: cost 0 inf + 245 33.848 * [simplify]: Simplified to (sqrt (sqrt k)) 33.848 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))))) 33.849 * * * * [progress]: [ 86 / 197 ] simplifiying candidate # 33.849 * [simplify]: Simplifying (sqrt k) 33.849 * * [simplify]: iters left: 1 (2 enodes) 33.850 * * [simplify]: Extracting #0: cost 1 inf + 0 33.850 * * [simplify]: Extracting #1: cost 3 inf + 0 33.850 * * [simplify]: Extracting #2: cost 2 inf + 1 33.850 * * [simplify]: Extracting #3: cost 0 inf + 83 33.850 * [simplify]: Simplified to (sqrt k) 33.850 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (/ 1 1) (sqrt k)))) 33.851 * * * * [progress]: [ 87 / 197 ] simplifiying candidate # 33.851 * [simplify]: Simplifying (* (cbrt 1) (cbrt 1)) 33.851 * * [simplify]: iters left: 3 (3 enodes) 33.857 * * [simplify]: iters left: 2 (11 enodes) 33.860 * * [simplify]: iters left: 1 (13 enodes) 33.863 * * [simplify]: Extracting #0: cost 1 inf + 0 33.863 * * [simplify]: Extracting #1: cost 0 inf + 1 33.863 * [simplify]: Simplified to 1 33.863 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (/ (sqrt k) (cbrt 1))))) 33.863 * * * * [progress]: [ 88 / 197 ] simplifiying candidate # 33.864 * [simplify]: Simplifying (sqrt 1) 33.864 * * [simplify]: iters left: 1 (2 enodes) 33.867 * * [simplify]: Extracting #0: cost 1 inf + 0 33.867 * * [simplify]: Extracting #1: cost 0 inf + 1 33.867 * [simplify]: Simplified to 1 33.867 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (/ (sqrt k) (sqrt 1))))) 33.867 * * * * [progress]: [ 89 / 197 ] simplifiying candidate # 33.867 * * * * [progress]: [ 90 / 197 ] simplifiying candidate #real (real->posit16 (/ 1 (sqrt k))))))> 33.867 * * * * [progress]: [ 91 / 197 ] simplifiying candidate # 33.868 * * * * [progress]: [ 92 / 197 ] simplifiying candidate # 33.868 * * * * [progress]: [ 93 / 197 ] simplifiying candidate # 33.868 * [simplify]: Simplifying (* n (* 2 PI)) 33.868 * * [simplify]: iters left: 4 (5 enodes) 33.871 * * [simplify]: iters left: 3 (19 enodes) 33.877 * * [simplify]: iters left: 2 (27 enodes) 33.885 * * [simplify]: iters left: 1 (32 enodes) 33.896 * * [simplify]: Extracting #0: cost 1 inf + 0 33.896 * * [simplify]: Extracting #1: cost 8 inf + 0 33.896 * * [simplify]: Extracting #2: cost 7 inf + 45 33.897 * * [simplify]: Extracting #3: cost 0 inf + 421 33.897 * [simplify]: Simplified to (* (* PI 2) n) 33.897 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 33.897 * * * * [progress]: [ 94 / 197 ] simplifiying candidate # 33.897 * [simplify]: Simplifying (* n (* 2 PI)) 33.897 * * [simplify]: iters left: 4 (5 enodes) 33.901 * * [simplify]: iters left: 3 (19 enodes) 33.907 * * [simplify]: iters left: 2 (27 enodes) 33.915 * * [simplify]: iters left: 1 (32 enodes) 33.924 * * [simplify]: Extracting #0: cost 1 inf + 0 33.924 * * [simplify]: Extracting #1: cost 8 inf + 0 33.924 * * [simplify]: Extracting #2: cost 7 inf + 45 33.924 * * [simplify]: Extracting #3: cost 0 inf + 421 33.924 * [simplify]: Simplified to (* (* PI 2) n) 33.924 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 33.925 * * * * [progress]: [ 95 / 197 ] simplifiying candidate # 33.925 * * * * [progress]: [ 96 / 197 ] simplifiying candidate # 33.925 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI))) 33.925 * * [simplify]: iters left: 5 (8 enodes) 33.929 * * [simplify]: iters left: 4 (28 enodes) 33.938 * * [simplify]: iters left: 3 (36 enodes) 33.949 * * [simplify]: iters left: 2 (42 enodes) 33.961 * * [simplify]: Extracting #0: cost 1 inf + 0 33.961 * * [simplify]: Extracting #1: cost 8 inf + 0 33.961 * * [simplify]: Extracting #2: cost 17 inf + 0 33.961 * * [simplify]: Extracting #3: cost 12 inf + 145 33.962 * * [simplify]: Extracting #4: cost 5 inf + 1197 33.962 * * [simplify]: Extracting #5: cost 1 inf + 1925 33.963 * * [simplify]: Extracting #6: cost 0 inf + 2107 33.963 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI))) 33.964 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 33.964 * * * * [progress]: [ 97 / 197 ] simplifiying candidate # 33.964 * [simplify]: Simplifying (+ (log n) (log (* 2 PI))) 33.964 * * [simplify]: iters left: 5 (7 enodes) 33.967 * * [simplify]: iters left: 4 (26 enodes) 33.971 * * [simplify]: iters left: 3 (35 enodes) 33.976 * * [simplify]: iters left: 2 (44 enodes) 33.983 * * [simplify]: Extracting #0: cost 1 inf + 0 33.983 * * [simplify]: Extracting #1: cost 8 inf + 0 33.983 * * [simplify]: Extracting #2: cost 18 inf + 0 33.983 * * [simplify]: Extracting #3: cost 15 inf + 74 33.983 * * [simplify]: Extracting #4: cost 8 inf + 554 33.983 * * [simplify]: Extracting #5: cost 0 inf + 1911 33.984 * [simplify]: Simplified to (+ (log n) (log (* 2 PI))) 33.984 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (exp (+ (log n) (log (* 2 PI)))) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 33.984 * * * * [progress]: [ 98 / 197 ] simplifiying candidate # 33.984 * * * * [progress]: [ 99 / 197 ] simplifiying candidate # 33.984 * * * * [progress]: [ 100 / 197 ] simplifiying candidate # 33.984 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI))) 33.984 * * [simplify]: iters left: 6 (11 enodes) 33.989 * * [simplify]: iters left: 5 (48 enodes) 33.999 * * [simplify]: iters left: 4 (121 enodes) 34.030 * * [simplify]: iters left: 3 (348 enodes) 34.212 * * [simplify]: Extracting #0: cost 1 inf + 0 34.212 * * [simplify]: Extracting #1: cost 67 inf + 0 34.213 * * [simplify]: Extracting #2: cost 165 inf + 786 34.219 * * [simplify]: Extracting #3: cost 81 inf + 10746 34.231 * * [simplify]: Extracting #4: cost 9 inf + 26018 34.244 * * [simplify]: Extracting #5: cost 0 inf + 28546 34.257 * * [simplify]: Extracting #6: cost 0 inf + 28506 34.270 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI)) 34.270 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (cbrt (* (* (* (* n PI) (* n PI)) 8) (* n PI))) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 34.270 * * * * [progress]: [ 101 / 197 ] simplifiying candidate # 34.270 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI))) 34.271 * * [simplify]: iters left: 6 (9 enodes) 34.276 * * [simplify]: iters left: 5 (45 enodes) 34.294 * * [simplify]: iters left: 4 (117 enodes) 34.337 * * [simplify]: iters left: 3 (377 enodes) 34.634 * * [simplify]: Extracting #0: cost 1 inf + 0 34.634 * * [simplify]: Extracting #1: cost 79 inf + 0 34.635 * * [simplify]: Extracting #2: cost 191 inf + 659 34.639 * * [simplify]: Extracting #3: cost 100 inf + 13238 34.651 * * [simplify]: Extracting #4: cost 6 inf + 31685 34.665 * * [simplify]: Extracting #5: cost 0 inf + 32539 34.675 * [simplify]: Simplified to (* (* 2 (* PI n)) (* (* 2 (* PI n)) (* 2 (* PI n)))) 34.675 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (cbrt (* (* 2 (* PI n)) (* (* 2 (* PI n)) (* 2 (* PI n))))) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 34.675 * * * * [progress]: [ 102 / 197 ] simplifiying candidate # 34.675 * * * * [progress]: [ 103 / 197 ] simplifiying candidate # 34.675 * * * * [progress]: [ 104 / 197 ] simplifiying candidate # 34.675 * * * * [progress]: [ 105 / 197 ] simplifiying candidate # 34.675 * * * * [progress]: [ 106 / 197 ] simplifiying candidate # 34.675 * * * * [progress]: [ 107 / 197 ] simplifiying candidate # 34.675 * [simplify]: Simplifying (* (cbrt n) (cbrt n)) 34.675 * * [simplify]: iters left: 3 (3 enodes) 34.676 * * [simplify]: iters left: 2 (9 enodes) 34.680 * * [simplify]: Extracting #0: cost 1 inf + 0 34.680 * * [simplify]: Extracting #1: cost 3 inf + 0 34.680 * * [simplify]: Extracting #2: cost 5 inf + 0 34.680 * * [simplify]: Extracting #3: cost 4 inf + 1 34.680 * * [simplify]: Extracting #4: cost 0 inf + 405 34.680 * [simplify]: Simplified to (* (cbrt n) (cbrt n)) 34.680 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 34.680 * * * * [progress]: [ 108 / 197 ] simplifiying candidate # 34.680 * [simplify]: Simplifying (sqrt n) 34.680 * * [simplify]: iters left: 1 (2 enodes) 34.681 * * [simplify]: Extracting #0: cost 1 inf + 0 34.681 * * [simplify]: Extracting #1: cost 3 inf + 0 34.681 * * [simplify]: Extracting #2: cost 2 inf + 1 34.681 * * [simplify]: Extracting #3: cost 0 inf + 83 34.681 * [simplify]: Simplified to (sqrt n) 34.681 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 34.681 * * * * [progress]: [ 109 / 197 ] simplifiying candidate # 34.681 * * * * [progress]: [ 110 / 197 ] simplifiying candidate #real (real->posit16 (* n (* 2 PI)))) (/ (- 1 k) 2)) (/ 1 (sqrt k))))> 34.681 * * * * [progress]: [ 111 / 197 ] simplifiying candidate # 34.681 * * * * [progress]: [ 112 / 197 ] simplifiying candidate # 34.681 * * * * [progress]: [ 113 / 197 ] simplifiying candidate # 34.681 * * * * [progress]: [ 114 / 197 ] simplifiying candidate # 34.681 * * * * [progress]: [ 115 / 197 ] simplifiying candidate # 34.681 * [simplify]: Simplifying (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (- (log (sqrt k)))) 34.682 * * [simplify]: iters left: 6 (17 enodes) 34.686 * * [simplify]: iters left: 5 (69 enodes) 34.706 * * [simplify]: iters left: 4 (113 enodes) 34.731 * * [simplify]: iters left: 3 (308 enodes) 34.888 * * [simplify]: Extracting #0: cost 1 inf + 0 34.888 * * [simplify]: Extracting #1: cost 34 inf + 0 34.888 * * [simplify]: Extracting #2: cost 117 inf + 0 34.889 * * [simplify]: Extracting #3: cost 164 inf + 553 34.891 * * [simplify]: Extracting #4: cost 135 inf + 9839 34.898 * * [simplify]: Extracting #5: cost 30 inf + 39075 34.908 * * [simplify]: Extracting #6: cost 0 inf + 50785 34.919 * * [simplify]: Extracting #7: cost 0 inf + 50768 34.939 * [simplify]: Simplified to (- (/ (- (+ (log PI) (+ (log n) (log 2))) (* k (+ (log PI) (+ (log n) (log 2))))) 2) (log (sqrt k))) 34.939 * [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))))) 34.940 * * * * [progress]: [ 116 / 197 ] simplifiying candidate # 34.940 * [simplify]: Simplifying (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (- 0 (log (sqrt k)))) 34.940 * * [simplify]: iters left: 6 (18 enodes) 34.951 * * [simplify]: iters left: 5 (74 enodes) 34.969 * * [simplify]: iters left: 4 (131 enodes) 35.004 * * [simplify]: iters left: 3 (347 enodes) 35.182 * * [simplify]: Extracting #0: cost 1 inf + 0 35.183 * * [simplify]: Extracting #1: cost 36 inf + 0 35.183 * * [simplify]: Extracting #2: cost 161 inf + 1 35.185 * * [simplify]: Extracting #3: cost 208 inf + 484 35.188 * * [simplify]: Extracting #4: cost 207 inf + 3278 35.198 * * [simplify]: Extracting #5: cost 93 inf + 32905 35.222 * * [simplify]: Extracting #6: cost 8 inf + 62963 35.248 * * [simplify]: Extracting #7: cost 0 inf + 66361 35.276 * * [simplify]: Extracting #8: cost 0 inf + 66355 35.307 * * [simplify]: Extracting #9: cost 0 inf + 66353 35.334 * [simplify]: Simplified to (- (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2) (log (sqrt k))) 35.334 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2) (log (sqrt k))))) 35.334 * * * * [progress]: [ 117 / 197 ] simplifiying candidate # 35.335 * [simplify]: Simplifying (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (- (log 1) (log (sqrt k)))) 35.335 * * [simplify]: iters left: 6 (18 enodes) 35.345 * * [simplify]: iters left: 5 (75 enodes) 35.362 * * [simplify]: iters left: 4 (121 enodes) 35.401 * * [simplify]: iters left: 3 (330 enodes) 35.548 * * [simplify]: Extracting #0: cost 1 inf + 0 35.548 * * [simplify]: Extracting #1: cost 51 inf + 0 35.549 * * [simplify]: Extracting #2: cost 142 inf + 1 35.551 * * [simplify]: Extracting #3: cost 188 inf + 737 35.555 * * [simplify]: Extracting #4: cost 155 inf + 14371 35.573 * * [simplify]: Extracting #5: cost 24 inf + 53600 35.590 * * [simplify]: Extracting #6: cost 0 inf + 62502 35.602 * * [simplify]: Extracting #7: cost 0 inf + 62420 35.623 * [simplify]: Simplified to (- (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2) (log (sqrt k))) 35.623 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2) (log (sqrt k))))) 35.623 * * * * [progress]: [ 118 / 197 ] simplifiying candidate # 35.623 * [simplify]: Simplifying (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (log (/ 1 (sqrt k)))) 35.623 * * [simplify]: iters left: 6 (17 enodes) 35.633 * * [simplify]: iters left: 5 (72 enodes) 35.649 * * [simplify]: iters left: 4 (119 enodes) 35.677 * * [simplify]: iters left: 3 (317 enodes) 35.804 * * [simplify]: Extracting #0: cost 1 inf + 0 35.804 * * [simplify]: Extracting #1: cost 35 inf + 0 35.805 * * [simplify]: Extracting #2: cost 143 inf + 1 35.806 * * [simplify]: Extracting #3: cost 188 inf + 331 35.812 * * [simplify]: Extracting #4: cost 139 inf + 18371 35.831 * * [simplify]: Extracting #5: cost 8 inf + 56770 35.850 * * [simplify]: Extracting #6: cost 0 inf + 59763 35.862 * * [simplify]: Extracting #7: cost 0 inf + 59762 35.875 * [simplify]: Simplified to (- (/ (- (+ (log 2) (+ (log n) (log PI))) (* k (+ (log 2) (+ (log n) (log PI))))) 2) (log (sqrt k))) 35.875 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log 2) (+ (log n) (log PI))) (* k (+ (log 2) (+ (log n) (log PI))))) 2) (log (sqrt k))))) 35.875 * * * * [progress]: [ 119 / 197 ] simplifiying candidate # 35.875 * [simplify]: Simplifying (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (- (log (sqrt k)))) 35.875 * * [simplify]: iters left: 6 (16 enodes) 35.884 * * [simplify]: iters left: 5 (67 enodes) 35.906 * * [simplify]: iters left: 4 (106 enodes) 35.942 * * [simplify]: iters left: 3 (249 enodes) 36.047 * * [simplify]: Extracting #0: cost 1 inf + 0 36.047 * * [simplify]: Extracting #1: cost 29 inf + 0 36.048 * * [simplify]: Extracting #2: cost 111 inf + 0 36.049 * * [simplify]: Extracting #3: cost 150 inf + 301 36.056 * * [simplify]: Extracting #4: cost 136 inf + 5475 36.065 * * [simplify]: Extracting #5: cost 55 inf + 25475 36.079 * * [simplify]: Extracting #6: cost 12 inf + 38138 36.096 * * [simplify]: Extracting #7: cost 0 inf + 41430 36.112 * * [simplify]: Extracting #8: cost 0 inf + 41390 36.128 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))) 36.128 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))))) 36.129 * * * * [progress]: [ 120 / 197 ] simplifiying candidate # 36.129 * [simplify]: Simplifying (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (- 0 (log (sqrt k)))) 36.129 * * [simplify]: iters left: 6 (17 enodes) 36.139 * * [simplify]: iters left: 5 (72 enodes) 36.163 * * [simplify]: iters left: 4 (124 enodes) 36.192 * * [simplify]: iters left: 3 (285 enodes) 36.358 * * [simplify]: Extracting #0: cost 1 inf + 0 36.358 * * [simplify]: Extracting #1: cost 31 inf + 0 36.358 * * [simplify]: Extracting #2: cost 147 inf + 1 36.359 * * [simplify]: Extracting #3: cost 189 inf + 443 36.361 * * [simplify]: Extracting #4: cost 154 inf + 10683 36.369 * * [simplify]: Extracting #5: cost 17 inf + 50106 36.384 * * [simplify]: Extracting #6: cost 1 inf + 53970 36.410 * * [simplify]: Extracting #7: cost 0 inf + 53992 36.432 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))) 36.432 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))))) 36.433 * * * * [progress]: [ 121 / 197 ] simplifiying candidate # 36.433 * [simplify]: Simplifying (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (- (log 1) (log (sqrt k)))) 36.433 * * [simplify]: iters left: 6 (17 enodes) 36.441 * * [simplify]: iters left: 5 (73 enodes) 36.454 * * [simplify]: iters left: 4 (114 enodes) 36.482 * * [simplify]: iters left: 3 (269 enodes) 36.593 * * [simplify]: Extracting #0: cost 1 inf + 0 36.593 * * [simplify]: Extracting #1: cost 40 inf + 0 36.593 * * [simplify]: Extracting #2: cost 127 inf + 1 36.594 * * [simplify]: Extracting #3: cost 164 inf + 485 36.596 * * [simplify]: Extracting #4: cost 133 inf + 9414 36.601 * * [simplify]: Extracting #5: cost 43 inf + 34708 36.609 * * [simplify]: Extracting #6: cost 8 inf + 44975 36.619 * * [simplify]: Extracting #7: cost 0 inf + 47849 36.633 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))) 36.633 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))))) 36.633 * * * * [progress]: [ 122 / 197 ] simplifiying candidate # 36.634 * [simplify]: Simplifying (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (log (/ 1 (sqrt k)))) 36.634 * * [simplify]: iters left: 6 (16 enodes) 36.643 * * [simplify]: iters left: 5 (70 enodes) 36.665 * * [simplify]: iters left: 4 (112 enodes) 36.711 * * [simplify]: iters left: 3 (259 enodes) 36.868 * * [simplify]: Extracting #0: cost 1 inf + 0 36.869 * * [simplify]: Extracting #1: cost 31 inf + 0 36.869 * * [simplify]: Extracting #2: cost 125 inf + 1 36.870 * * [simplify]: Extracting #3: cost 164 inf + 426 36.873 * * [simplify]: Extracting #4: cost 143 inf + 6327 36.882 * * [simplify]: Extracting #5: cost 64 inf + 26121 36.896 * * [simplify]: Extracting #6: cost 18 inf + 40564 36.906 * * [simplify]: Extracting #7: cost 0 inf + 46273 36.915 * * [simplify]: Extracting #8: cost 0 inf + 46271 36.932 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))) 36.932 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))))) 36.932 * * * * [progress]: [ 123 / 197 ] simplifiying candidate # 36.933 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (- (log (sqrt k)))) 36.933 * * [simplify]: iters left: 6 (15 enodes) 36.943 * * [simplify]: iters left: 5 (66 enodes) 36.955 * * [simplify]: iters left: 4 (113 enodes) 36.980 * * [simplify]: iters left: 3 (231 enodes) 37.101 * * [simplify]: Extracting #0: cost 1 inf + 0 37.101 * * [simplify]: Extracting #1: cost 23 inf + 0 37.102 * * [simplify]: Extracting #2: cost 108 inf + 0 37.103 * * [simplify]: Extracting #3: cost 141 inf + 873 37.106 * * [simplify]: Extracting #4: cost 117 inf + 9464 37.113 * * [simplify]: Extracting #5: cost 44 inf + 23481 37.127 * * [simplify]: Extracting #6: cost 1 inf + 35156 37.141 * * [simplify]: Extracting #7: cost 0 inf + 35358 37.156 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 37.156 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 37.156 * * * * [progress]: [ 124 / 197 ] simplifiying candidate # 37.156 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (- 0 (log (sqrt k)))) 37.156 * * [simplify]: iters left: 6 (16 enodes) 37.166 * * [simplify]: iters left: 5 (71 enodes) 37.195 * * [simplify]: iters left: 4 (131 enodes) 37.244 * * [simplify]: iters left: 3 (264 enodes) 37.382 * * [simplify]: Extracting #0: cost 1 inf + 0 37.382 * * [simplify]: Extracting #1: cost 27 inf + 0 37.383 * * [simplify]: Extracting #2: cost 137 inf + 1 37.384 * * [simplify]: Extracting #3: cost 175 inf + 497 37.385 * * [simplify]: Extracting #4: cost 145 inf + 9321 37.392 * * [simplify]: Extracting #5: cost 19 inf + 38929 37.401 * * [simplify]: Extracting #6: cost 0 inf + 44691 37.411 * * [simplify]: Extracting #7: cost 0 inf + 44685 37.423 * * [simplify]: Extracting #8: cost 0 inf + 44684 37.432 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 37.432 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 37.433 * * * * [progress]: [ 125 / 197 ] simplifiying candidate # 37.433 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (- (log 1) (log (sqrt k)))) 37.433 * * [simplify]: iters left: 6 (16 enodes) 37.438 * * [simplify]: iters left: 5 (72 enodes) 37.451 * * [simplify]: iters left: 4 (121 enodes) 37.489 * * [simplify]: iters left: 3 (251 enodes) 37.620 * * [simplify]: Extracting #0: cost 1 inf + 0 37.620 * * [simplify]: Extracting #1: cost 31 inf + 0 37.620 * * [simplify]: Extracting #2: cost 120 inf + 1 37.621 * * [simplify]: Extracting #3: cost 153 inf + 722 37.622 * * [simplify]: Extracting #4: cost 123 inf + 9925 37.626 * * [simplify]: Extracting #5: cost 70 inf + 20388 37.636 * * [simplify]: Extracting #6: cost 8 inf + 37677 37.644 * * [simplify]: Extracting #7: cost 0 inf + 39814 37.653 * * [simplify]: Extracting #8: cost 0 inf + 39813 37.665 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 37.665 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 37.665 * * * * [progress]: [ 126 / 197 ] simplifiying candidate # 37.665 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (/ 1 (sqrt k)))) 37.665 * * [simplify]: iters left: 6 (15 enodes) 37.674 * * [simplify]: iters left: 5 (69 enodes) 37.697 * * [simplify]: iters left: 4 (119 enodes) 37.739 * * [simplify]: iters left: 3 (242 enodes) 37.839 * * [simplify]: Extracting #0: cost 1 inf + 0 37.839 * * [simplify]: Extracting #1: cost 25 inf + 0 37.839 * * [simplify]: Extracting #2: cost 120 inf + 1 37.840 * * [simplify]: Extracting #3: cost 158 inf + 414 37.841 * * [simplify]: Extracting #4: cost 141 inf + 6461 37.849 * * [simplify]: Extracting #5: cost 36 inf + 28547 37.856 * * [simplify]: Extracting #6: cost 2 inf + 39293 37.864 * * [simplify]: Extracting #7: cost 0 inf + 39445 37.875 * * [simplify]: Extracting #8: cost 0 inf + 39430 37.891 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 37.892 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 37.892 * * * * [progress]: [ 127 / 197 ] simplifiying candidate # 37.892 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (- (log (sqrt k)))) 37.893 * * [simplify]: iters left: 6 (15 enodes) 37.901 * * [simplify]: iters left: 5 (66 enodes) 37.923 * * [simplify]: iters left: 4 (113 enodes) 37.956 * * [simplify]: iters left: 3 (231 enodes) 38.064 * * [simplify]: Extracting #0: cost 1 inf + 0 38.064 * * [simplify]: Extracting #1: cost 23 inf + 0 38.065 * * [simplify]: Extracting #2: cost 108 inf + 0 38.066 * * [simplify]: Extracting #3: cost 141 inf + 873 38.069 * * [simplify]: Extracting #4: cost 117 inf + 9464 38.081 * * [simplify]: Extracting #5: cost 44 inf + 23481 38.095 * * [simplify]: Extracting #6: cost 1 inf + 35156 38.109 * * [simplify]: Extracting #7: cost 0 inf + 35358 38.116 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 38.116 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 38.116 * * * * [progress]: [ 128 / 197 ] simplifiying candidate # 38.117 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (- 0 (log (sqrt k)))) 38.117 * * [simplify]: iters left: 6 (16 enodes) 38.121 * * [simplify]: iters left: 5 (71 enodes) 38.134 * * [simplify]: iters left: 4 (131 enodes) 38.163 * * [simplify]: iters left: 3 (264 enodes) 38.297 * * [simplify]: Extracting #0: cost 1 inf + 0 38.297 * * [simplify]: Extracting #1: cost 27 inf + 0 38.298 * * [simplify]: Extracting #2: cost 137 inf + 1 38.299 * * [simplify]: Extracting #3: cost 175 inf + 497 38.303 * * [simplify]: Extracting #4: cost 145 inf + 9321 38.316 * * [simplify]: Extracting #5: cost 19 inf + 38929 38.334 * * [simplify]: Extracting #6: cost 0 inf + 44691 38.353 * * [simplify]: Extracting #7: cost 0 inf + 44685 38.371 * * [simplify]: Extracting #8: cost 0 inf + 44684 38.390 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 38.390 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 38.390 * * * * [progress]: [ 129 / 197 ] simplifiying candidate # 38.391 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (- (log 1) (log (sqrt k)))) 38.391 * * [simplify]: iters left: 6 (16 enodes) 38.401 * * [simplify]: iters left: 5 (72 enodes) 38.425 * * [simplify]: iters left: 4 (121 enodes) 38.474 * * [simplify]: iters left: 3 (251 enodes) 38.607 * * [simplify]: Extracting #0: cost 1 inf + 0 38.607 * * [simplify]: Extracting #1: cost 31 inf + 0 38.608 * * [simplify]: Extracting #2: cost 120 inf + 1 38.609 * * [simplify]: Extracting #3: cost 153 inf + 722 38.611 * * [simplify]: Extracting #4: cost 123 inf + 9925 38.614 * * [simplify]: Extracting #5: cost 70 inf + 20388 38.621 * * [simplify]: Extracting #6: cost 8 inf + 37677 38.629 * * [simplify]: Extracting #7: cost 0 inf + 39814 38.642 * * [simplify]: Extracting #8: cost 0 inf + 39813 38.659 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 38.659 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 38.659 * * * * [progress]: [ 130 / 197 ] simplifiying candidate # 38.660 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (/ 1 (sqrt k)))) 38.660 * * [simplify]: iters left: 6 (15 enodes) 38.668 * * [simplify]: iters left: 5 (69 enodes) 38.694 * * [simplify]: iters left: 4 (119 enodes) 38.735 * * [simplify]: iters left: 3 (242 enodes) 38.836 * * [simplify]: Extracting #0: cost 1 inf + 0 38.836 * * [simplify]: Extracting #1: cost 25 inf + 0 38.836 * * [simplify]: Extracting #2: cost 120 inf + 1 38.838 * * [simplify]: Extracting #3: cost 158 inf + 414 38.840 * * [simplify]: Extracting #4: cost 141 inf + 6461 38.850 * * [simplify]: Extracting #5: cost 36 inf + 28547 38.865 * * [simplify]: Extracting #6: cost 2 inf + 39293 38.882 * * [simplify]: Extracting #7: cost 0 inf + 39445 38.898 * * [simplify]: Extracting #8: cost 0 inf + 39430 38.917 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 38.918 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 38.918 * * * * [progress]: [ 131 / 197 ] simplifiying candidate # 38.918 * [simplify]: Simplifying (+ (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (- (log (sqrt k)))) 38.918 * * [simplify]: iters left: 6 (15 enodes) 38.927 * * [simplify]: iters left: 5 (64 enodes) 38.948 * * [simplify]: iters left: 4 (112 enodes) 38.968 * * [simplify]: iters left: 3 (217 enodes) 39.060 * * [simplify]: Extracting #0: cost 1 inf + 0 39.060 * * [simplify]: Extracting #1: cost 24 inf + 0 39.061 * * [simplify]: Extracting #2: cost 131 inf + 0 39.062 * * [simplify]: Extracting #3: cost 197 inf + 75 39.064 * * [simplify]: Extracting #4: cost 154 inf + 8600 39.075 * * [simplify]: Extracting #5: cost 37 inf + 34061 39.089 * * [simplify]: Extracting #6: cost 4 inf + 41406 39.104 * * [simplify]: Extracting #7: cost 0 inf + 44050 39.120 * [simplify]: Simplified to (- (* (log (* (* PI 2) n)) (/ (- 1 k) 2)) (log (sqrt k))) 39.120 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* PI 2) n)) (/ (- 1 k) 2)) (log (sqrt k))))) 39.120 * * * * [progress]: [ 132 / 197 ] simplifiying candidate # 39.120 * [simplify]: Simplifying (+ (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (- 0 (log (sqrt k)))) 39.121 * * [simplify]: iters left: 6 (16 enodes) 39.130 * * [simplify]: iters left: 5 (69 enodes) 39.154 * * [simplify]: iters left: 4 (129 enodes) 39.197 * * [simplify]: iters left: 3 (252 enodes) 39.299 * * [simplify]: Extracting #0: cost 1 inf + 0 39.299 * * [simplify]: Extracting #1: cost 28 inf + 0 39.300 * * [simplify]: Extracting #2: cost 164 inf + 1 39.301 * * [simplify]: Extracting #3: cost 232 inf + 76 39.304 * * [simplify]: Extracting #4: cost 186 inf + 7682 39.317 * * [simplify]: Extracting #5: cost 46 inf + 40239 39.334 * * [simplify]: Extracting #6: cost 2 inf + 54192 39.349 * * [simplify]: Extracting #7: cost 0 inf + 55436 39.359 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (log (sqrt k))) 39.360 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (log (sqrt k))))) 39.360 * * * * [progress]: [ 133 / 197 ] simplifiying candidate # 39.360 * [simplify]: Simplifying (+ (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (- (log 1) (log (sqrt k)))) 39.360 * * [simplify]: iters left: 6 (16 enodes) 39.365 * * [simplify]: iters left: 5 (70 enodes) 39.388 * * [simplify]: iters left: 4 (119 enodes) 39.434 * * [simplify]: iters left: 3 (242 enodes) 39.545 * * [simplify]: Extracting #0: cost 1 inf + 0 39.546 * * [simplify]: Extracting #1: cost 33 inf + 0 39.546 * * [simplify]: Extracting #2: cost 145 inf + 1 39.546 * * [simplify]: Extracting #3: cost 211 inf + 5 39.548 * * [simplify]: Extracting #4: cost 170 inf + 6845 39.553 * * [simplify]: Extracting #5: cost 50 inf + 33236 39.561 * * [simplify]: Extracting #6: cost 2 inf + 48259 39.569 * * [simplify]: Extracting #7: cost 0 inf + 49372 39.582 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (log (sqrt k))) 39.582 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (log (sqrt k))))) 39.582 * * * * [progress]: [ 134 / 197 ] simplifiying candidate # 39.582 * [simplify]: Simplifying (+ (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (log (/ 1 (sqrt k)))) 39.582 * * [simplify]: iters left: 6 (15 enodes) 39.586 * * [simplify]: iters left: 5 (67 enodes) 39.598 * * [simplify]: iters left: 4 (118 enodes) 39.624 * * [simplify]: iters left: 3 (228 enodes) 39.709 * * [simplify]: Extracting #0: cost 1 inf + 0 39.709 * * [simplify]: Extracting #1: cost 26 inf + 0 39.710 * * [simplify]: Extracting #2: cost 143 inf + 1 39.711 * * [simplify]: Extracting #3: cost 211 inf + 5 39.713 * * [simplify]: Extracting #4: cost 180 inf + 5082 39.722 * * [simplify]: Extracting #5: cost 60 inf + 30293 39.740 * * [simplify]: Extracting #6: cost 3 inf + 46530 39.757 * * [simplify]: Extracting #7: cost 0 inf + 48345 39.773 * [simplify]: Simplified to (- (/ (- 1 k) (/ 2 (log (* (* PI 2) n)))) (log (sqrt k))) 39.774 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- 1 k) (/ 2 (log (* (* PI 2) n)))) (log (sqrt k))))) 39.774 * * * * [progress]: [ 135 / 197 ] simplifiying candidate # 39.774 * * * * [progress]: [ 136 / 197 ] simplifiying candidate # 39.774 * * * * [progress]: [ 137 / 197 ] simplifiying candidate # 39.774 * [simplify]: Simplifying (* (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k)))) 39.774 * * [simplify]: iters left: 6 (19 enodes) 39.785 * * [simplify]: iters left: 5 (80 enodes) 39.813 * * [simplify]: iters left: 4 (188 enodes) 39.897 * * [simplify]: Extracting #0: cost 1 inf + 0 39.898 * * [simplify]: Extracting #1: cost 50 inf + 0 39.898 * * [simplify]: Extracting #2: cost 145 inf + 206 39.900 * * [simplify]: Extracting #3: cost 158 inf + 1393 39.902 * * [simplify]: Extracting #4: cost 148 inf + 2806 39.911 * * [simplify]: Extracting #5: cost 60 inf + 38680 39.931 * * [simplify]: Extracting #6: cost 0 inf + 74105 39.948 * * [simplify]: Extracting #7: cost 0 inf + 73832 39.958 * [simplify]: Simplified to (/ (/ (pow (pow (* (* PI 2) n) (/ (- 1 k) 2)) 3) (sqrt k)) k) 39.958 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (/ (/ (pow (pow (* (* PI 2) n) (/ (- 1 k) 2)) 3) (sqrt k)) k))) 39.958 * * * * [progress]: [ 138 / 197 ] simplifiying candidate # 39.958 * [simplify]: Simplifying (* (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k)))) 39.958 * * [simplify]: iters left: 6 (17 enodes) 39.966 * * [simplify]: iters left: 5 (81 enodes) 39.992 * * [simplify]: iters left: 4 (174 enodes) 40.067 * * [simplify]: iters left: 3 (496 enodes) 40.433 * * [simplify]: Extracting #0: cost 1 inf + 0 40.434 * * [simplify]: Extracting #1: cost 104 inf + 0 40.435 * * [simplify]: Extracting #2: cost 449 inf + 3 40.437 * * [simplify]: Extracting #3: cost 487 inf + 700 40.440 * * [simplify]: Extracting #4: cost 450 inf + 11389 40.456 * * [simplify]: Extracting #5: cost 214 inf + 146525 40.540 * * [simplify]: Extracting #6: cost 13 inf + 299337 40.613 * * [simplify]: Extracting #7: cost 0 inf + 309378 40.687 * [simplify]: Simplified to (/ (* (* (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow (* (* PI 2) n) (/ (- 1 k) 4))) (pow (* (* PI 2) n) (/ (- 1 k) 4))) (* (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow (* (* PI 2) n) (/ (- 1 k) 4))) (pow (* (* PI 2) n) (/ (- 1 k) 4)))) (* (sqrt k) k)) 40.688 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (/ (* (* (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow (* (* PI 2) n) (/ (- 1 k) 4))) (pow (* (* PI 2) n) (/ (- 1 k) 4))) (* (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow (* (* PI 2) n) (/ (- 1 k) 4))) (pow (* (* PI 2) n) (/ (- 1 k) 4)))) (* (sqrt k) k)))) 40.688 * * * * [progress]: [ 139 / 197 ] simplifiying candidate # 40.688 * * * * [progress]: [ 140 / 197 ] simplifiying candidate # 40.688 * * * * [progress]: [ 141 / 197 ] simplifiying candidate # 40.688 * * * * [progress]: [ 142 / 197 ] simplifiying candidate # 40.688 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ 1 2)) 1) 40.688 * * [simplify]: iters left: 6 (9 enodes) 40.696 * * [simplify]: iters left: 5 (37 enodes) 40.711 * * [simplify]: iters left: 4 (66 enodes) 40.737 * * [simplify]: iters left: 3 (108 enodes) 40.777 * * [simplify]: iters left: 2 (171 enodes) 40.821 * * [simplify]: iters left: 1 (332 enodes) 41.041 * * [simplify]: Extracting #0: cost 1 inf + 0 41.041 * * [simplify]: Extracting #1: cost 30 inf + 0 41.042 * * [simplify]: Extracting #2: cost 99 inf + 3 41.042 * * [simplify]: Extracting #3: cost 84 inf + 1774 41.045 * * [simplify]: Extracting #4: cost 36 inf + 25934 41.053 * * [simplify]: Extracting #5: cost 0 inf + 51696 41.067 * * [simplify]: Extracting #6: cost 0 inf + 49807 41.084 * * [simplify]: Extracting #7: cost 0 inf + 49636 41.097 * [simplify]: Simplified to (sqrt (* (* PI 2) n)) 41.097 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* PI 2) n)) (* (pow (* n (* 2 PI)) (/ k 2)) (sqrt k)))) 41.097 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ k 2)) (sqrt k)) 41.097 * * [simplify]: iters left: 6 (10 enodes) 41.103 * * [simplify]: iters left: 5 (38 enodes) 41.115 * * [simplify]: iters left: 4 (62 enodes) 41.135 * * [simplify]: iters left: 3 (104 enodes) 41.169 * * [simplify]: iters left: 2 (207 enodes) 41.223 * * [simplify]: iters left: 1 (463 enodes) 41.575 * * [simplify]: Extracting #0: cost 1 inf + 0 41.575 * * [simplify]: Extracting #1: cost 54 inf + 0 41.576 * * [simplify]: Extracting #2: cost 179 inf + 0 41.579 * * [simplify]: Extracting #3: cost 218 inf + 45 41.582 * * [simplify]: Extracting #4: cost 182 inf + 9256 41.604 * * [simplify]: Extracting #5: cost 56 inf + 91557 41.630 * * [simplify]: Extracting #6: cost 0 inf + 127910 41.664 * * [simplify]: Extracting #7: cost 0 inf + 117839 41.718 * * [simplify]: Extracting #8: cost 0 inf + 113430 41.755 * * [simplify]: Extracting #9: cost 0 inf + 113179 41.817 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (* 1/2 k)) (sqrt k)) 41.817 * [simplify]: Simplified (2 2) to (λ (k n) (/ (sqrt (* (* PI 2) n)) (* (pow (* (* PI 2) n) (* 1/2 k)) (sqrt k)))) 41.817 * * * * [progress]: [ 143 / 197 ] simplifiying candidate # 41.817 * * * * [progress]: [ 144 / 197 ] simplifiying candidate # 41.818 * [simplify]: Simplifying (sqrt k) 41.818 * * [simplify]: iters left: 1 (2 enodes) 41.819 * * [simplify]: Extracting #0: cost 1 inf + 0 41.819 * * [simplify]: Extracting #1: cost 3 inf + 0 41.819 * * [simplify]: Extracting #2: cost 2 inf + 1 41.819 * * [simplify]: Extracting #3: cost 0 inf + 83 41.819 * [simplify]: Simplified to (sqrt k) 41.819 * [simplify]: Simplified (2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 41.819 * * * * [progress]: [ 145 / 197 ] simplifiying candidate # 41.819 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k)))) 41.819 * * [simplify]: iters left: 6 (15 enodes) 41.829 * * [simplify]: iters left: 5 (61 enodes) 41.849 * * [simplify]: iters left: 4 (95 enodes) 41.873 * * [simplify]: iters left: 3 (137 enodes) 41.900 * * [simplify]: iters left: 2 (222 enodes) 41.961 * * [simplify]: iters left: 1 (401 enodes) 42.114 * * [simplify]: Extracting #0: cost 1 inf + 0 42.114 * * [simplify]: Extracting #1: cost 4 inf + 0 42.114 * * [simplify]: Extracting #2: cost 9 inf + 0 42.114 * * [simplify]: Extracting #3: cost 46 inf + 0 42.115 * * [simplify]: Extracting #4: cost 133 inf + 2 42.117 * * [simplify]: Extracting #5: cost 173 inf + 468 42.121 * * [simplify]: Extracting #6: cost 116 inf + 12612 42.138 * * [simplify]: Extracting #7: cost 16 inf + 63859 42.159 * * [simplify]: Extracting #8: cost 0 inf + 70198 42.174 * * [simplify]: Extracting #9: cost 0 inf + 70038 42.184 * * [simplify]: Extracting #10: cost 0 inf + 69408 42.194 * * [simplify]: Extracting #11: cost 0 inf + 69198 42.204 * [simplify]: Simplified to (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k)))) 42.204 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k)))) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k)))))) 42.205 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k)))) 42.205 * * [simplify]: iters left: 6 (15 enodes) 42.216 * * [simplify]: iters left: 5 (61 enodes) 42.236 * * [simplify]: iters left: 4 (95 enodes) 42.267 * * [simplify]: iters left: 3 (137 enodes) 42.313 * * [simplify]: iters left: 2 (222 enodes) 42.387 * * [simplify]: iters left: 1 (401 enodes) 42.591 * * [simplify]: Extracting #0: cost 1 inf + 0 42.591 * * [simplify]: Extracting #1: cost 4 inf + 0 42.592 * * [simplify]: Extracting #2: cost 9 inf + 0 42.592 * * [simplify]: Extracting #3: cost 46 inf + 0 42.592 * * [simplify]: Extracting #4: cost 133 inf + 2 42.594 * * [simplify]: Extracting #5: cost 173 inf + 468 42.598 * * [simplify]: Extracting #6: cost 116 inf + 12612 42.615 * * [simplify]: Extracting #7: cost 16 inf + 63859 42.634 * * [simplify]: Extracting #8: cost 0 inf + 70198 42.644 * * [simplify]: Extracting #9: cost 0 inf + 70038 42.654 * * [simplify]: Extracting #10: cost 0 inf + 69408 42.664 * * [simplify]: Extracting #11: cost 0 inf + 69198 42.675 * [simplify]: Simplified to (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k)))) 42.675 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k)))) (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k)))))) 42.675 * * * * [progress]: [ 146 / 197 ] simplifiying candidate # 42.675 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k)))) 42.675 * * [simplify]: iters left: 6 (16 enodes) 42.682 * * [simplify]: iters left: 5 (66 enodes) 42.694 * * [simplify]: iters left: 4 (106 enodes) 42.725 * * [simplify]: iters left: 3 (153 enodes) 42.773 * * [simplify]: iters left: 2 (239 enodes) 42.858 * * [simplify]: iters left: 1 (425 enodes) 43.003 * * [simplify]: Extracting #0: cost 1 inf + 0 43.003 * * [simplify]: Extracting #1: cost 7 inf + 0 43.003 * * [simplify]: Extracting #2: cost 13 inf + 1 43.003 * * [simplify]: Extracting #3: cost 43 inf + 1 43.004 * * [simplify]: Extracting #4: cost 126 inf + 44 43.005 * * [simplify]: Extracting #5: cost 160 inf + 1245 43.007 * * [simplify]: Extracting #6: cost 103 inf + 9685 43.013 * * [simplify]: Extracting #7: cost 32 inf + 38557 43.023 * * [simplify]: Extracting #8: cost 3 inf + 61561 43.038 * * [simplify]: Extracting #9: cost 0 inf + 63599 43.060 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 43.060 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k)))))) 43.061 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k)))) 43.061 * * [simplify]: iters left: 6 (16 enodes) 43.066 * * [simplify]: iters left: 5 (66 enodes) 43.078 * * [simplify]: iters left: 4 (106 enodes) 43.102 * * [simplify]: iters left: 3 (153 enodes) 43.151 * * [simplify]: iters left: 2 (239 enodes) 43.240 * * [simplify]: iters left: 1 (425 enodes) 43.428 * * [simplify]: Extracting #0: cost 1 inf + 0 43.428 * * [simplify]: Extracting #1: cost 7 inf + 0 43.428 * * [simplify]: Extracting #2: cost 13 inf + 1 43.428 * * [simplify]: Extracting #3: cost 43 inf + 1 43.429 * * [simplify]: Extracting #4: cost 126 inf + 44 43.430 * * [simplify]: Extracting #5: cost 160 inf + 1245 43.434 * * [simplify]: Extracting #6: cost 103 inf + 9685 43.446 * * [simplify]: Extracting #7: cost 32 inf + 38557 43.466 * * [simplify]: Extracting #8: cost 3 inf + 61561 43.487 * * [simplify]: Extracting #9: cost 0 inf + 63599 43.509 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 43.509 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 43.510 * * * * [progress]: [ 147 / 197 ] simplifiying candidate # 43.510 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k)))) 43.510 * * [simplify]: iters left: 6 (16 enodes) 43.520 * * [simplify]: iters left: 5 (66 enodes) 43.542 * * [simplify]: iters left: 4 (106 enodes) 43.578 * * [simplify]: iters left: 3 (153 enodes) 43.626 * * [simplify]: iters left: 2 (239 enodes) 43.715 * * [simplify]: iters left: 1 (425 enodes) 43.923 * * [simplify]: Extracting #0: cost 1 inf + 0 43.923 * * [simplify]: Extracting #1: cost 7 inf + 0 43.923 * * [simplify]: Extracting #2: cost 13 inf + 1 43.923 * * [simplify]: Extracting #3: cost 43 inf + 1 43.924 * * [simplify]: Extracting #4: cost 126 inf + 44 43.926 * * [simplify]: Extracting #5: cost 160 inf + 1245 43.930 * * [simplify]: Extracting #6: cost 103 inf + 9685 43.945 * * [simplify]: Extracting #7: cost 32 inf + 38557 43.966 * * [simplify]: Extracting #8: cost 3 inf + 61561 43.987 * * [simplify]: Extracting #9: cost 0 inf + 63599 44.008 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 44.008 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k)))))) 44.008 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k)))) 44.008 * * [simplify]: iters left: 6 (16 enodes) 44.018 * * [simplify]: iters left: 5 (66 enodes) 44.040 * * [simplify]: iters left: 4 (106 enodes) 44.060 * * [simplify]: iters left: 3 (153 enodes) 44.101 * * [simplify]: iters left: 2 (239 enodes) 44.186 * * [simplify]: iters left: 1 (425 enodes) 44.361 * * [simplify]: Extracting #0: cost 1 inf + 0 44.361 * * [simplify]: Extracting #1: cost 7 inf + 0 44.361 * * [simplify]: Extracting #2: cost 13 inf + 1 44.361 * * [simplify]: Extracting #3: cost 43 inf + 1 44.362 * * [simplify]: Extracting #4: cost 126 inf + 44 44.363 * * [simplify]: Extracting #5: cost 160 inf + 1245 44.368 * * [simplify]: Extracting #6: cost 103 inf + 9685 44.379 * * [simplify]: Extracting #7: cost 32 inf + 38557 44.400 * * [simplify]: Extracting #8: cost 3 inf + 61561 44.424 * * [simplify]: Extracting #9: cost 0 inf + 63599 44.445 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 44.445 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 44.446 * * * * [progress]: [ 148 / 197 ] simplifiying candidate # 44.446 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k)))) 44.446 * * [simplify]: iters left: 6 (15 enodes) 44.454 * * [simplify]: iters left: 5 (63 enodes) 44.471 * * [simplify]: iters left: 4 (101 enodes) 44.488 * * [simplify]: iters left: 3 (149 enodes) 44.519 * * [simplify]: iters left: 2 (232 enodes) 44.605 * * [simplify]: iters left: 1 (411 enodes) 44.751 * * [simplify]: Extracting #0: cost 1 inf + 0 44.751 * * [simplify]: Extracting #1: cost 7 inf + 0 44.751 * * [simplify]: Extracting #2: cost 13 inf + 1 44.752 * * [simplify]: Extracting #3: cost 46 inf + 1 44.752 * * [simplify]: Extracting #4: cost 134 inf + 3 44.754 * * [simplify]: Extracting #5: cost 157 inf + 1497 44.758 * * [simplify]: Extracting #6: cost 98 inf + 11179 44.768 * * [simplify]: Extracting #7: cost 47 inf + 27340 44.785 * * [simplify]: Extracting #8: cost 9 inf + 61686 44.797 * * [simplify]: Extracting #9: cost 0 inf + 69366 44.808 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 44.808 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k)))))) 44.808 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k)))) 44.808 * * [simplify]: iters left: 6 (15 enodes) 44.812 * * [simplify]: iters left: 5 (63 enodes) 44.827 * * [simplify]: iters left: 4 (101 enodes) 44.858 * * [simplify]: iters left: 3 (149 enodes) 44.906 * * [simplify]: iters left: 2 (232 enodes) 44.968 * * [simplify]: iters left: 1 (411 enodes) 45.092 * * [simplify]: Extracting #0: cost 1 inf + 0 45.092 * * [simplify]: Extracting #1: cost 7 inf + 0 45.092 * * [simplify]: Extracting #2: cost 13 inf + 1 45.092 * * [simplify]: Extracting #3: cost 46 inf + 1 45.092 * * [simplify]: Extracting #4: cost 134 inf + 3 45.093 * * [simplify]: Extracting #5: cost 157 inf + 1497 45.095 * * [simplify]: Extracting #6: cost 98 inf + 11179 45.100 * * [simplify]: Extracting #7: cost 47 inf + 27340 45.113 * * [simplify]: Extracting #8: cost 9 inf + 61686 45.123 * * [simplify]: Extracting #9: cost 0 inf + 69366 45.133 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 45.133 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 45.133 * * * * [progress]: [ 149 / 197 ] simplifiying candidate # 45.134 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k)))) 45.134 * * [simplify]: iters left: 6 (15 enodes) 45.138 * * [simplify]: iters left: 5 (63 enodes) 45.150 * * [simplify]: iters left: 4 (101 enodes) 45.167 * * [simplify]: iters left: 3 (149 enodes) 45.210 * * [simplify]: iters left: 2 (232 enodes) 45.262 * * [simplify]: iters left: 1 (411 enodes) 45.410 * * [simplify]: Extracting #0: cost 1 inf + 0 45.410 * * [simplify]: Extracting #1: cost 7 inf + 0 45.410 * * [simplify]: Extracting #2: cost 13 inf + 1 45.410 * * [simplify]: Extracting #3: cost 46 inf + 1 45.411 * * [simplify]: Extracting #4: cost 134 inf + 3 45.412 * * [simplify]: Extracting #5: cost 157 inf + 1497 45.417 * * [simplify]: Extracting #6: cost 98 inf + 11179 45.428 * * [simplify]: Extracting #7: cost 47 inf + 27340 45.445 * * [simplify]: Extracting #8: cost 9 inf + 61686 45.460 * * [simplify]: Extracting #9: cost 0 inf + 69366 45.471 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 45.471 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k)))))) 45.471 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k)))) 45.471 * * [simplify]: iters left: 6 (15 enodes) 45.476 * * [simplify]: iters left: 5 (63 enodes) 45.904 * * [simplify]: iters left: 4 (101 enodes) 45.936 * * [simplify]: iters left: 3 (149 enodes) 45.984 * * [simplify]: iters left: 2 (232 enodes) 46.064 * * [simplify]: iters left: 1 (411 enodes) 46.221 * * [simplify]: Extracting #0: cost 1 inf + 0 46.221 * * [simplify]: Extracting #1: cost 7 inf + 0 46.221 * * [simplify]: Extracting #2: cost 13 inf + 1 46.221 * * [simplify]: Extracting #3: cost 46 inf + 1 46.222 * * [simplify]: Extracting #4: cost 134 inf + 3 46.223 * * [simplify]: Extracting #5: cost 157 inf + 1497 46.228 * * [simplify]: Extracting #6: cost 98 inf + 11179 46.233 * * [simplify]: Extracting #7: cost 47 inf + 27340 46.241 * * [simplify]: Extracting #8: cost 9 inf + 61686 46.255 * * [simplify]: Extracting #9: cost 0 inf + 69366 46.270 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 46.270 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 46.270 * * * * [progress]: [ 150 / 197 ] simplifiying candidate # 46.270 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (/ 1 (sqrt k)))) 46.271 * * [simplify]: iters left: 6 (15 enodes) 46.275 * * [simplify]: iters left: 5 (64 enodes) 46.286 * * [simplify]: iters left: 4 (104 enodes) 46.314 * * [simplify]: iters left: 3 (170 enodes) 46.356 * * [simplify]: iters left: 2 (330 enodes) 46.472 * * [simplify]: Extracting #0: cost 1 inf + 0 46.472 * * [simplify]: Extracting #1: cost 31 inf + 0 46.473 * * [simplify]: Extracting #2: cost 95 inf + 0 46.473 * * [simplify]: Extracting #3: cost 152 inf + 2 46.475 * * [simplify]: Extracting #4: cost 165 inf + 181 46.476 * * [simplify]: Extracting #5: cost 164 inf + 765 46.480 * * [simplify]: Extracting #6: cost 98 inf + 9674 46.492 * * [simplify]: Extracting #7: cost 38 inf + 39132 46.513 * * [simplify]: Extracting #8: cost 0 inf + 67355 46.533 * * [simplify]: Extracting #9: cost 0 inf + 66501 46.553 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (/ 1 (sqrt k)))) 46.553 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (/ 1 (sqrt k)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (/ 1 (sqrt k)))))) 46.554 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (/ 1 (sqrt k)))) 46.554 * * [simplify]: iters left: 6 (15 enodes) 46.566 * * [simplify]: iters left: 5 (64 enodes) 46.588 * * [simplify]: iters left: 4 (104 enodes) 46.623 * * [simplify]: iters left: 3 (170 enodes) 46.677 * * [simplify]: iters left: 2 (330 enodes) 46.796 * * [simplify]: Extracting #0: cost 1 inf + 0 46.796 * * [simplify]: Extracting #1: cost 31 inf + 0 46.797 * * [simplify]: Extracting #2: cost 95 inf + 0 46.797 * * [simplify]: Extracting #3: cost 152 inf + 2 46.798 * * [simplify]: Extracting #4: cost 165 inf + 181 46.798 * * [simplify]: Extracting #5: cost 164 inf + 765 46.803 * * [simplify]: Extracting #6: cost 98 inf + 9674 46.809 * * [simplify]: Extracting #7: cost 38 inf + 39132 46.819 * * [simplify]: Extracting #8: cost 0 inf + 67355 46.839 * * [simplify]: Extracting #9: cost 0 inf + 66501 46.859 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (/ 1 (sqrt k)))) 46.859 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (/ 1 (sqrt k)))) (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (/ 1 (sqrt k)))))) 46.859 * * * * [progress]: [ 151 / 197 ] simplifiying candidate # 46.860 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) 46.860 * * [simplify]: iters left: 6 (16 enodes) 46.869 * * [simplify]: iters left: 5 (69 enodes) 46.888 * * [simplify]: iters left: 4 (113 enodes) 46.909 * * [simplify]: iters left: 3 (202 enodes) 46.964 * * [simplify]: iters left: 2 (404 enodes) 47.139 * * [simplify]: Extracting #0: cost 1 inf + 0 47.139 * * [simplify]: Extracting #1: cost 47 inf + 0 47.140 * * [simplify]: Extracting #2: cost 144 inf + 1 47.140 * * [simplify]: Extracting #3: cost 202 inf + 3 47.142 * * [simplify]: Extracting #4: cost 179 inf + 9895 47.151 * * [simplify]: Extracting #5: cost 68 inf + 61496 47.166 * * [simplify]: Extracting #6: cost 0 inf + 100551 47.181 * * [simplify]: Extracting #7: cost 0 inf + 98924 47.211 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 47.211 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k)))))) 47.212 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) 47.212 * * [simplify]: iters left: 6 (16 enodes) 47.225 * * [simplify]: iters left: 5 (69 enodes) 47.248 * * [simplify]: iters left: 4 (113 enodes) 47.270 * * [simplify]: iters left: 3 (202 enodes) 47.342 * * [simplify]: iters left: 2 (404 enodes) 47.503 * * [simplify]: Extracting #0: cost 1 inf + 0 47.503 * * [simplify]: Extracting #1: cost 47 inf + 0 47.504 * * [simplify]: Extracting #2: cost 144 inf + 1 47.505 * * [simplify]: Extracting #3: cost 202 inf + 3 47.509 * * [simplify]: Extracting #4: cost 179 inf + 9895 47.519 * * [simplify]: Extracting #5: cost 68 inf + 61496 47.537 * * [simplify]: Extracting #6: cost 0 inf + 100551 47.564 * * [simplify]: Extracting #7: cost 0 inf + 98924 47.590 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 47.590 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))))) 47.590 * * * * [progress]: [ 152 / 197 ] simplifiying candidate # 47.590 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) 47.590 * * [simplify]: iters left: 6 (16 enodes) 47.595 * * [simplify]: iters left: 5 (69 enodes) 47.607 * * [simplify]: iters left: 4 (113 enodes) 47.639 * * [simplify]: iters left: 3 (202 enodes) 47.694 * * [simplify]: iters left: 2 (404 enodes) 47.825 * * [simplify]: Extracting #0: cost 1 inf + 0 47.826 * * [simplify]: Extracting #1: cost 47 inf + 0 47.826 * * [simplify]: Extracting #2: cost 144 inf + 1 47.827 * * [simplify]: Extracting #3: cost 202 inf + 3 47.829 * * [simplify]: Extracting #4: cost 179 inf + 9895 47.846 * * [simplify]: Extracting #5: cost 68 inf + 61496 47.875 * * [simplify]: Extracting #6: cost 0 inf + 100551 47.895 * * [simplify]: Extracting #7: cost 0 inf + 98924 47.911 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 47.911 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k)))))) 47.952 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) 47.952 * * [simplify]: iters left: 6 (16 enodes) 47.966 * * [simplify]: iters left: 5 (69 enodes) 47.989 * * [simplify]: iters left: 4 (113 enodes) 48.031 * * [simplify]: iters left: 3 (202 enodes) 48.114 * * [simplify]: iters left: 2 (404 enodes) 48.280 * * [simplify]: Extracting #0: cost 1 inf + 0 48.280 * * [simplify]: Extracting #1: cost 47 inf + 0 48.280 * * [simplify]: Extracting #2: cost 144 inf + 1 48.281 * * [simplify]: Extracting #3: cost 202 inf + 3 48.283 * * [simplify]: Extracting #4: cost 179 inf + 9895 48.291 * * [simplify]: Extracting #5: cost 68 inf + 61496 48.323 * * [simplify]: Extracting #6: cost 0 inf + 100551 48.352 * * [simplify]: Extracting #7: cost 0 inf + 98924 48.382 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 48.382 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))))) 48.383 * * * * [progress]: [ 153 / 197 ] simplifiying candidate # 48.383 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k)))) 48.383 * * [simplify]: iters left: 6 (15 enodes) 48.392 * * [simplify]: iters left: 5 (66 enodes) 48.414 * * [simplify]: iters left: 4 (112 enodes) 48.440 * * [simplify]: iters left: 3 (199 enodes) 48.500 * * [simplify]: iters left: 2 (401 enodes) 48.668 * * [simplify]: Extracting #0: cost 1 inf + 0 48.669 * * [simplify]: Extracting #1: cost 42 inf + 0 48.669 * * [simplify]: Extracting #2: cost 131 inf + 1 48.671 * * [simplify]: Extracting #3: cost 184 inf + 3 48.673 * * [simplify]: Extracting #4: cost 172 inf + 3118 48.681 * * [simplify]: Extracting #5: cost 101 inf + 25049 48.704 * * [simplify]: Extracting #6: cost 21 inf + 72612 48.721 * * [simplify]: Extracting #7: cost 0 inf + 83351 48.739 * * [simplify]: Extracting #8: cost 0 inf + 81723 48.765 * * [simplify]: Extracting #9: cost 0 inf + 81461 48.799 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 48.799 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k)))))) 48.799 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k)))) 48.799 * * [simplify]: iters left: 6 (15 enodes) 48.808 * * [simplify]: iters left: 5 (66 enodes) 48.832 * * [simplify]: iters left: 4 (112 enodes) 48.872 * * [simplify]: iters left: 3 (199 enodes) 48.959 * * [simplify]: iters left: 2 (401 enodes) 49.150 * * [simplify]: Extracting #0: cost 1 inf + 0 49.151 * * [simplify]: Extracting #1: cost 42 inf + 0 49.152 * * [simplify]: Extracting #2: cost 131 inf + 1 49.153 * * [simplify]: Extracting #3: cost 184 inf + 3 49.155 * * [simplify]: Extracting #4: cost 172 inf + 3118 49.163 * * [simplify]: Extracting #5: cost 101 inf + 25049 49.187 * * [simplify]: Extracting #6: cost 21 inf + 72612 49.207 * * [simplify]: Extracting #7: cost 0 inf + 83351 49.234 * * [simplify]: Extracting #8: cost 0 inf + 81723 49.268 * * [simplify]: Extracting #9: cost 0 inf + 81461 49.305 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 49.305 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))))) 49.305 * * * * [progress]: [ 154 / 197 ] simplifiying candidate # 49.306 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k)))) 49.306 * * [simplify]: iters left: 6 (15 enodes) 49.315 * * [simplify]: iters left: 5 (66 enodes) 49.330 * * [simplify]: iters left: 4 (112 enodes) 49.351 * * [simplify]: iters left: 3 (199 enodes) 49.413 * * [simplify]: iters left: 2 (401 enodes) 49.563 * * [simplify]: Extracting #0: cost 1 inf + 0 49.563 * * [simplify]: Extracting #1: cost 42 inf + 0 49.564 * * [simplify]: Extracting #2: cost 131 inf + 1 49.565 * * [simplify]: Extracting #3: cost 184 inf + 3 49.570 * * [simplify]: Extracting #4: cost 172 inf + 3118 49.576 * * [simplify]: Extracting #5: cost 101 inf + 25049 49.588 * * [simplify]: Extracting #6: cost 21 inf + 72612 49.604 * * [simplify]: Extracting #7: cost 0 inf + 83351 49.621 * * [simplify]: Extracting #8: cost 0 inf + 81723 49.639 * * [simplify]: Extracting #9: cost 0 inf + 81461 49.656 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 49.656 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k)))))) 49.657 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k)))) 49.657 * * [simplify]: iters left: 6 (15 enodes) 49.661 * * [simplify]: iters left: 5 (66 enodes) 49.675 * * [simplify]: iters left: 4 (112 enodes) 49.696 * * [simplify]: iters left: 3 (199 enodes) 49.749 * * [simplify]: iters left: 2 (401 enodes) 49.910 * * [simplify]: Extracting #0: cost 1 inf + 0 49.910 * * [simplify]: Extracting #1: cost 42 inf + 0 49.911 * * [simplify]: Extracting #2: cost 131 inf + 1 49.912 * * [simplify]: Extracting #3: cost 184 inf + 3 49.914 * * [simplify]: Extracting #4: cost 172 inf + 3118 49.919 * * [simplify]: Extracting #5: cost 101 inf + 25049 49.934 * * [simplify]: Extracting #6: cost 21 inf + 72612 49.957 * * [simplify]: Extracting #7: cost 0 inf + 83351 49.980 * * [simplify]: Extracting #8: cost 0 inf + 81723 49.997 * * [simplify]: Extracting #9: cost 0 inf + 81461 50.031 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 50.032 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))))) 50.032 * * * * [progress]: [ 155 / 197 ] simplifiying candidate # 50.032 * [simplify]: Simplifying (cbrt (/ 1 (sqrt k))) 50.032 * * [simplify]: iters left: 4 (5 enodes) 50.035 * * [simplify]: iters left: 3 (17 enodes) 50.041 * * [simplify]: iters left: 2 (19 enodes) 50.047 * * [simplify]: Extracting #0: cost 1 inf + 0 50.047 * * [simplify]: Extracting #1: cost 3 inf + 0 50.047 * * [simplify]: Extracting #2: cost 6 inf + 0 50.047 * * [simplify]: Extracting #3: cost 7 inf + 1 50.048 * * [simplify]: Extracting #4: cost 0 inf + 572 50.048 * [simplify]: Simplified to (cbrt (/ 1 (sqrt k))) 50.048 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k))))) (cbrt (/ 1 (sqrt k))))) 50.048 * * * * [progress]: [ 156 / 197 ] simplifiying candidate # 50.048 * [simplify]: Simplifying (sqrt (/ 1 (sqrt k))) 50.048 * * [simplify]: iters left: 4 (5 enodes) 50.051 * * [simplify]: iters left: 3 (17 enodes) 50.057 * * [simplify]: iters left: 2 (19 enodes) 50.060 * * [simplify]: Extracting #0: cost 1 inf + 0 50.060 * * [simplify]: Extracting #1: cost 3 inf + 0 50.060 * * [simplify]: Extracting #2: cost 6 inf + 0 50.060 * * [simplify]: Extracting #3: cost 7 inf + 1 50.060 * * [simplify]: Extracting #4: cost 0 inf + 492 50.060 * [simplify]: Simplified to (sqrt (/ 1 (sqrt k))) 50.060 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (/ 1 (sqrt k)))) (sqrt (/ 1 (sqrt k))))) 50.060 * * * * [progress]: [ 157 / 197 ] simplifiying candidate # 50.061 * [simplify]: Simplifying (/ (cbrt 1) (cbrt (sqrt k))) 50.061 * * [simplify]: iters left: 4 (6 enodes) 50.063 * * [simplify]: iters left: 3 (20 enodes) 50.066 * * [simplify]: iters left: 2 (22 enodes) 50.070 * * [simplify]: Extracting #0: cost 1 inf + 0 50.070 * * [simplify]: Extracting #1: cost 4 inf + 0 50.070 * * [simplify]: Extracting #2: cost 5 inf + 1 50.070 * * [simplify]: Extracting #3: cost 7 inf + 1 50.070 * * [simplify]: Extracting #4: cost 1 inf + 488 50.070 * * [simplify]: Extracting #5: cost 0 inf + 650 50.070 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 50.070 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ 1 (cbrt (sqrt k))))) 50.070 * * * * [progress]: [ 158 / 197 ] simplifiying candidate # 50.071 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (cbrt k))) 50.071 * * [simplify]: iters left: 4 (6 enodes) 50.074 * * [simplify]: iters left: 3 (20 enodes) 50.078 * * [simplify]: iters left: 2 (22 enodes) 50.082 * * [simplify]: Extracting #0: cost 1 inf + 0 50.082 * * [simplify]: Extracting #1: cost 4 inf + 0 50.082 * * [simplify]: Extracting #2: cost 5 inf + 1 50.082 * * [simplify]: Extracting #3: cost 7 inf + 1 50.082 * * [simplify]: Extracting #4: cost 1 inf + 568 50.082 * * [simplify]: Extracting #5: cost 0 inf + 730 50.082 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 50.082 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k))))) (/ 1 (sqrt (cbrt k))))) 50.082 * * * * [progress]: [ 159 / 197 ] simplifiying candidate # 50.082 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt k))) 50.082 * * [simplify]: iters left: 4 (6 enodes) 50.085 * * [simplify]: iters left: 3 (20 enodes) 50.088 * * [simplify]: iters left: 2 (22 enodes) 50.095 * * [simplify]: Extracting #0: cost 1 inf + 0 50.095 * * [simplify]: Extracting #1: cost 4 inf + 0 50.095 * * [simplify]: Extracting #2: cost 5 inf + 1 50.095 * * [simplify]: Extracting #3: cost 7 inf + 1 50.095 * * [simplify]: Extracting #4: cost 1 inf + 368 50.096 * * [simplify]: Extracting #5: cost 0 inf + 490 50.096 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 50.096 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k))))) 50.096 * * * * [progress]: [ 160 / 197 ] simplifiying candidate # 50.096 * [simplify]: Simplifying (/ (cbrt 1) (sqrt k)) 50.096 * * [simplify]: iters left: 3 (5 enodes) 50.101 * * [simplify]: iters left: 2 (17 enodes) 50.106 * * [simplify]: iters left: 1 (19 enodes) 50.112 * * [simplify]: Extracting #0: cost 1 inf + 0 50.112 * * [simplify]: Extracting #1: cost 4 inf + 0 50.112 * * [simplify]: Extracting #2: cost 5 inf + 1 50.112 * * [simplify]: Extracting #3: cost 0 inf + 248 50.112 * [simplify]: Simplified to (/ 1 (sqrt k)) 50.112 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (* (cbrt 1) (cbrt 1)) (sqrt 1))) (/ 1 (sqrt k)))) 50.112 * * * * [progress]: [ 161 / 197 ] simplifiying candidate # 50.113 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt k))) 50.113 * * [simplify]: iters left: 4 (6 enodes) 50.117 * * [simplify]: iters left: 3 (20 enodes) 50.123 * * [simplify]: iters left: 2 (22 enodes) 50.130 * * [simplify]: Extracting #0: cost 1 inf + 0 50.130 * * [simplify]: Extracting #1: cost 4 inf + 0 50.130 * * [simplify]: Extracting #2: cost 5 inf + 1 50.130 * * [simplify]: Extracting #3: cost 7 inf + 1 50.130 * * [simplify]: Extracting #4: cost 1 inf + 368 50.130 * * [simplify]: Extracting #5: cost 0 inf + 490 50.131 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 50.131 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k))))) 50.131 * * * * [progress]: [ 162 / 197 ] simplifiying candidate # 50.131 * [simplify]: Simplifying (/ (cbrt 1) (sqrt k)) 50.131 * * [simplify]: iters left: 3 (5 enodes) 50.136 * * [simplify]: iters left: 2 (17 enodes) 50.142 * * [simplify]: iters left: 1 (19 enodes) 50.147 * * [simplify]: Extracting #0: cost 1 inf + 0 50.148 * * [simplify]: Extracting #1: cost 4 inf + 0 50.148 * * [simplify]: Extracting #2: cost 5 inf + 1 50.148 * * [simplify]: Extracting #3: cost 0 inf + 248 50.148 * [simplify]: Simplified to (/ 1 (sqrt k)) 50.148 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ 1 (sqrt k)))) 50.148 * * * * [progress]: [ 163 / 197 ] simplifiying candidate # 50.148 * [simplify]: Simplifying (/ (sqrt 1) (cbrt (sqrt k))) 50.148 * * [simplify]: iters left: 4 (6 enodes) 50.153 * * [simplify]: iters left: 3 (20 enodes) 50.159 * * [simplify]: iters left: 2 (22 enodes) 50.165 * * [simplify]: Extracting #0: cost 1 inf + 0 50.165 * * [simplify]: Extracting #1: cost 4 inf + 0 50.165 * * [simplify]: Extracting #2: cost 5 inf + 1 50.165 * * [simplify]: Extracting #3: cost 7 inf + 1 50.165 * * [simplify]: Extracting #4: cost 1 inf + 488 50.166 * * [simplify]: Extracting #5: cost 0 inf + 650 50.166 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 50.166 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ 1 (cbrt (sqrt k))))) 50.166 * * * * [progress]: [ 164 / 197 ] simplifiying candidate # 50.166 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (cbrt k))) 50.167 * * [simplify]: iters left: 4 (6 enodes) 50.170 * * [simplify]: iters left: 3 (20 enodes) 50.177 * * [simplify]: iters left: 2 (22 enodes) 50.183 * * [simplify]: Extracting #0: cost 1 inf + 0 50.183 * * [simplify]: Extracting #1: cost 4 inf + 0 50.183 * * [simplify]: Extracting #2: cost 5 inf + 1 50.183 * * [simplify]: Extracting #3: cost 7 inf + 1 50.183 * * [simplify]: Extracting #4: cost 1 inf + 568 50.184 * * [simplify]: Extracting #5: cost 0 inf + 730 50.184 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 50.184 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k))))) (/ 1 (sqrt (cbrt k))))) 50.184 * * * * [progress]: [ 165 / 197 ] simplifiying candidate # 50.184 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 50.184 * * [simplify]: iters left: 4 (6 enodes) 50.187 * * [simplify]: iters left: 3 (20 enodes) 50.190 * * [simplify]: iters left: 2 (22 enodes) 50.194 * * [simplify]: Extracting #0: cost 1 inf + 0 50.194 * * [simplify]: Extracting #1: cost 4 inf + 0 50.194 * * [simplify]: Extracting #2: cost 5 inf + 1 50.194 * * [simplify]: Extracting #3: cost 7 inf + 1 50.194 * * [simplify]: Extracting #4: cost 1 inf + 368 50.194 * * [simplify]: Extracting #5: cost 0 inf + 490 50.194 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 50.194 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k))))) 50.194 * * * * [progress]: [ 166 / 197 ] simplifiying candidate # 50.195 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k)) 50.195 * * [simplify]: iters left: 3 (5 enodes) 50.197 * * [simplify]: iters left: 2 (17 enodes) 50.200 * * [simplify]: iters left: 1 (19 enodes) 50.203 * * [simplify]: Extracting #0: cost 1 inf + 0 50.203 * * [simplify]: Extracting #1: cost 4 inf + 0 50.203 * * [simplify]: Extracting #2: cost 5 inf + 1 50.203 * * [simplify]: Extracting #3: cost 0 inf + 248 50.203 * [simplify]: Simplified to (/ 1 (sqrt k)) 50.203 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (sqrt 1) (sqrt 1))) (/ 1 (sqrt k)))) 50.203 * * * * [progress]: [ 167 / 197 ] simplifiying candidate # 50.203 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 50.204 * * [simplify]: iters left: 4 (6 enodes) 50.206 * * [simplify]: iters left: 3 (20 enodes) 50.210 * * [simplify]: iters left: 2 (22 enodes) 50.215 * * [simplify]: Extracting #0: cost 1 inf + 0 50.215 * * [simplify]: Extracting #1: cost 4 inf + 0 50.215 * * [simplify]: Extracting #2: cost 5 inf + 1 50.215 * * [simplify]: Extracting #3: cost 7 inf + 1 50.215 * * [simplify]: Extracting #4: cost 1 inf + 368 50.215 * * [simplify]: Extracting #5: cost 0 inf + 490 50.215 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 50.215 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k))))) 50.216 * * * * [progress]: [ 168 / 197 ] simplifiying candidate # 50.216 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k)) 50.216 * * [simplify]: iters left: 3 (5 enodes) 50.220 * * [simplify]: iters left: 2 (17 enodes) 50.225 * * [simplify]: iters left: 1 (19 enodes) 50.231 * * [simplify]: Extracting #0: cost 1 inf + 0 50.231 * * [simplify]: Extracting #1: cost 4 inf + 0 50.231 * * [simplify]: Extracting #2: cost 5 inf + 1 50.231 * * [simplify]: Extracting #3: cost 0 inf + 248 50.232 * [simplify]: Simplified to (/ 1 (sqrt k)) 50.232 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (sqrt 1) 1)) (/ 1 (sqrt k)))) 50.232 * * * * [progress]: [ 169 / 197 ] simplifiying candidate # 50.232 * [simplify]: Simplifying (/ 1 (cbrt (sqrt k))) 50.232 * * [simplify]: iters left: 4 (5 enodes) 50.235 * * [simplify]: iters left: 3 (17 enodes) 50.241 * * [simplify]: iters left: 2 (19 enodes) 50.247 * * [simplify]: Extracting #0: cost 1 inf + 0 50.247 * * [simplify]: Extracting #1: cost 4 inf + 0 50.247 * * [simplify]: Extracting #2: cost 5 inf + 1 50.247 * * [simplify]: Extracting #3: cost 7 inf + 1 50.247 * * [simplify]: Extracting #4: cost 0 inf + 650 50.247 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 50.247 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ 1 (cbrt (sqrt k))))) 50.247 * * * * [progress]: [ 170 / 197 ] simplifiying candidate # 50.248 * [simplify]: Simplifying (/ 1 (sqrt (cbrt k))) 50.248 * * [simplify]: iters left: 4 (5 enodes) 50.251 * * [simplify]: iters left: 3 (17 enodes) 50.256 * * [simplify]: iters left: 2 (19 enodes) 50.262 * * [simplify]: Extracting #0: cost 1 inf + 0 50.262 * * [simplify]: Extracting #1: cost 4 inf + 0 50.263 * * [simplify]: Extracting #2: cost 5 inf + 1 50.263 * * [simplify]: Extracting #3: cost 7 inf + 1 50.263 * * [simplify]: Extracting #4: cost 0 inf + 730 50.263 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 50.263 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt (* (cbrt k) (cbrt k))))) (/ 1 (sqrt (cbrt k))))) 50.263 * * * * [progress]: [ 171 / 197 ] simplifiying candidate # 50.263 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 50.264 * * [simplify]: iters left: 4 (5 enodes) 50.266 * * [simplify]: iters left: 3 (17 enodes) 50.272 * * [simplify]: iters left: 2 (19 enodes) 50.278 * * [simplify]: Extracting #0: cost 1 inf + 0 50.278 * * [simplify]: Extracting #1: cost 4 inf + 0 50.278 * * [simplify]: Extracting #2: cost 5 inf + 1 50.278 * * [simplify]: Extracting #3: cost 7 inf + 1 50.278 * * [simplify]: Extracting #4: cost 0 inf + 490 50.278 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 50.279 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k))))) 50.279 * * * * [progress]: [ 172 / 197 ] simplifiying candidate # 50.279 * [simplify]: Simplifying (/ 1 (sqrt k)) 50.279 * * [simplify]: iters left: 3 (4 enodes) 50.281 * * [simplify]: iters left: 2 (14 enodes) 50.284 * * [simplify]: iters left: 1 (16 enodes) 50.286 * * [simplify]: Extracting #0: cost 1 inf + 0 50.286 * * [simplify]: Extracting #1: cost 4 inf + 0 50.286 * * [simplify]: Extracting #2: cost 5 inf + 1 50.286 * * [simplify]: Extracting #3: cost 3 inf + 43 50.286 * * [simplify]: Extracting #4: cost 1 inf + 166 50.286 * * [simplify]: Extracting #5: cost 0 inf + 248 50.287 * [simplify]: Simplified to (/ 1 (sqrt k)) 50.287 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt 1))) (/ 1 (sqrt k)))) 50.287 * * * * [progress]: [ 173 / 197 ] simplifiying candidate # 50.287 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 50.287 * * [simplify]: iters left: 4 (5 enodes) 50.288 * * [simplify]: iters left: 3 (17 enodes) 50.291 * * [simplify]: iters left: 2 (19 enodes) 50.295 * * [simplify]: Extracting #0: cost 1 inf + 0 50.295 * * [simplify]: Extracting #1: cost 4 inf + 0 50.295 * * [simplify]: Extracting #2: cost 5 inf + 1 50.295 * * [simplify]: Extracting #3: cost 7 inf + 1 50.295 * * [simplify]: Extracting #4: cost 0 inf + 490 50.295 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 50.295 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k))))) 50.295 * * * * [progress]: [ 174 / 197 ] simplifiying candidate # 50.295 * [simplify]: Simplifying (/ 1 (sqrt k)) 50.295 * * [simplify]: iters left: 3 (4 enodes) 50.296 * * [simplify]: iters left: 2 (14 enodes) 50.299 * * [simplify]: iters left: 1 (16 enodes) 50.301 * * [simplify]: Extracting #0: cost 1 inf + 0 50.301 * * [simplify]: Extracting #1: cost 4 inf + 0 50.301 * * [simplify]: Extracting #2: cost 5 inf + 1 50.302 * * [simplify]: Extracting #3: cost 3 inf + 43 50.302 * * [simplify]: Extracting #4: cost 1 inf + 166 50.302 * * [simplify]: Extracting #5: cost 0 inf + 248 50.302 * [simplify]: Simplified to (/ 1 (sqrt k)) 50.302 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 1)) (/ 1 (sqrt k)))) 50.302 * * * * [progress]: [ 175 / 197 ] simplifiying candidate # 50.302 * [simplify]: Simplifying (/ 1 (sqrt k)) 50.302 * * [simplify]: iters left: 3 (4 enodes) 50.303 * * [simplify]: iters left: 2 (14 enodes) 50.306 * * [simplify]: iters left: 1 (16 enodes) 50.308 * * [simplify]: Extracting #0: cost 1 inf + 0 50.308 * * [simplify]: Extracting #1: cost 4 inf + 0 50.308 * * [simplify]: Extracting #2: cost 5 inf + 1 50.308 * * [simplify]: Extracting #3: cost 3 inf + 43 50.308 * * [simplify]: Extracting #4: cost 1 inf + 166 50.308 * * [simplify]: Extracting #5: cost 0 inf + 248 50.308 * [simplify]: Simplified to (/ 1 (sqrt k)) 50.309 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) (/ 1 (sqrt k)))) 50.309 * * * * [progress]: [ 176 / 197 ] simplifiying candidate # 50.309 * [simplify]: Simplifying (/ 1 (sqrt k)) 50.309 * * [simplify]: iters left: 3 (4 enodes) 50.310 * * [simplify]: iters left: 2 (14 enodes) 50.312 * * [simplify]: iters left: 1 (16 enodes) 50.317 * * [simplify]: Extracting #0: cost 1 inf + 0 50.317 * * [simplify]: Extracting #1: cost 4 inf + 0 50.317 * * [simplify]: Extracting #2: cost 5 inf + 1 50.317 * * [simplify]: Extracting #3: cost 3 inf + 43 50.317 * * [simplify]: Extracting #4: cost 1 inf + 166 50.318 * * [simplify]: Extracting #5: cost 0 inf + 248 50.318 * [simplify]: Simplified to (/ 1 (sqrt k)) 50.318 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) (/ 1 (sqrt k)))) 50.318 * * * * [progress]: [ 177 / 197 ] simplifiying candidate # 50.318 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 50.318 * * [simplify]: iters left: 5 (7 enodes) 50.323 * * [simplify]: iters left: 4 (32 enodes) 50.336 * * [simplify]: iters left: 3 (57 enodes) 50.357 * * [simplify]: iters left: 2 (90 enodes) 50.375 * * [simplify]: iters left: 1 (170 enodes) 50.413 * * [simplify]: Extracting #0: cost 1 inf + 0 50.413 * * [simplify]: Extracting #1: cost 13 inf + 0 50.413 * * [simplify]: Extracting #2: cost 54 inf + 2 50.414 * * [simplify]: Extracting #3: cost 89 inf + 6 50.414 * * [simplify]: Extracting #4: cost 78 inf + 1344 50.418 * * [simplify]: Extracting #5: cost 20 inf + 14664 50.425 * * [simplify]: Extracting #6: cost 1 inf + 22045 50.433 * * [simplify]: Extracting #7: cost 0 inf + 21300 50.441 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 50.441 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ 1 (sqrt k))))) 50.441 * * * * [progress]: [ 178 / 197 ] simplifiying candidate # 50.442 * [simplify]: Simplifying (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 50.442 * * [simplify]: iters left: 6 (12 enodes) 50.451 * * [simplify]: iters left: 5 (51 enodes) 50.469 * * [simplify]: iters left: 4 (84 enodes) 50.496 * * [simplify]: iters left: 3 (127 enodes) 50.523 * * [simplify]: iters left: 2 (212 enodes) 50.571 * * [simplify]: iters left: 1 (389 enodes) 50.765 * * [simplify]: Extracting #0: cost 1 inf + 0 50.765 * * [simplify]: Extracting #1: cost 3 inf + 0 50.765 * * [simplify]: Extracting #2: cost 5 inf + 0 50.766 * * [simplify]: Extracting #3: cost 34 inf + 0 50.766 * * [simplify]: Extracting #4: cost 117 inf + 1 50.767 * * [simplify]: Extracting #5: cost 168 inf + 176 50.769 * * [simplify]: Extracting #6: cost 165 inf + 767 50.774 * * [simplify]: Extracting #7: cost 98 inf + 11266 50.789 * * [simplify]: Extracting #8: cost 10 inf + 59756 50.810 * * [simplify]: Extracting #9: cost 0 inf + 68459 50.830 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 50.830 * [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))) (/ 1 (sqrt k))))) 50.830 * * * * [progress]: [ 179 / 197 ] simplifiying candidate # 50.830 * [simplify]: Simplifying (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 50.830 * * [simplify]: iters left: 6 (11 enodes) 50.833 * * [simplify]: iters left: 5 (48 enodes) 50.842 * * [simplify]: iters left: 4 (78 enodes) 50.858 * * [simplify]: iters left: 3 (122 enodes) 50.895 * * [simplify]: iters left: 2 (223 enodes) 50.943 * * [simplify]: iters left: 1 (410 enodes) 51.119 * * [simplify]: Extracting #0: cost 1 inf + 0 51.119 * * [simplify]: Extracting #1: cost 4 inf + 0 51.119 * * [simplify]: Extracting #2: cost 36 inf + 0 51.120 * * [simplify]: Extracting #3: cost 131 inf + 1 51.121 * * [simplify]: Extracting #4: cost 175 inf + 220 51.123 * * [simplify]: Extracting #5: cost 160 inf + 1914 51.128 * * [simplify]: Extracting #6: cost 84 inf + 11925 51.142 * * [simplify]: Extracting #7: cost 27 inf + 40490 51.155 * * [simplify]: Extracting #8: cost 0 inf + 68673 51.169 * * [simplify]: Extracting #9: cost 0 inf + 68313 51.187 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 51.187 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt k))))) 51.188 * * * * [progress]: [ 180 / 197 ] simplifiying candidate # 51.188 * * * * [progress]: [ 181 / 197 ] simplifiying candidate # 51.188 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 51.188 * * [simplify]: iters left: 6 (11 enodes) 51.195 * * [simplify]: iters left: 5 (51 enodes) 51.213 * * [simplify]: iters left: 4 (87 enodes) 51.243 * * [simplify]: iters left: 3 (146 enodes) 51.286 * * [simplify]: iters left: 2 (263 enodes) 51.368 * * [simplify]: iters left: 1 (487 enodes) 51.591 * * [simplify]: Extracting #0: cost 1 inf + 0 51.591 * * [simplify]: Extracting #1: cost 26 inf + 0 51.591 * * [simplify]: Extracting #2: cost 109 inf + 1 51.593 * * [simplify]: Extracting #3: cost 197 inf + 178 51.595 * * [simplify]: Extracting #4: cost 191 inf + 1310 51.601 * * [simplify]: Extracting #5: cost 96 inf + 14316 51.615 * * [simplify]: Extracting #6: cost 32 inf + 39237 51.635 * * [simplify]: Extracting #7: cost 0 inf + 65358 51.656 * * [simplify]: Extracting #8: cost 0 inf + 64077 51.679 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/4 (- 1 k))) 51.679 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt k))))) 51.679 * * * * [progress]: [ 182 / 197 ] simplifiying candidate # 51.679 * [simplify]: Simplifying (sqrt k) 51.679 * * [simplify]: iters left: 1 (2 enodes) 51.680 * * [simplify]: Extracting #0: cost 1 inf + 0 51.680 * * [simplify]: Extracting #1: cost 3 inf + 0 51.680 * * [simplify]: Extracting #2: cost 2 inf + 1 51.681 * * [simplify]: Extracting #3: cost 0 inf + 83 51.681 * [simplify]: Simplified to (sqrt k) 51.681 * [simplify]: Simplified (2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) (sqrt k))) 51.681 * * * * [progress]: [ 183 / 197 ] simplifiying candidate # 51.681 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ 1 2)) (/ 1 (sqrt k))) 51.681 * * [simplify]: iters left: 6 (12 enodes) 51.689 * * [simplify]: iters left: 5 (50 enodes) 51.708 * * [simplify]: iters left: 4 (88 enodes) 51.749 * * [simplify]: iters left: 3 (169 enodes) 51.797 * * [simplify]: iters left: 2 (293 enodes) 51.903 * * [simplify]: Extracting #0: cost 1 inf + 0 51.903 * * [simplify]: Extracting #1: cost 34 inf + 0 51.904 * * [simplify]: Extracting #2: cost 101 inf + 1 51.904 * * [simplify]: Extracting #3: cost 101 inf + 50 51.905 * * [simplify]: Extracting #4: cost 91 inf + 844 51.907 * * [simplify]: Extracting #5: cost 34 inf + 27819 51.914 * * [simplify]: Extracting #6: cost 0 inf + 49875 51.924 * * [simplify]: Extracting #7: cost 0 inf + 49311 51.938 * [simplify]: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt k)) 51.938 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (sqrt (* (* PI 2) n)) (sqrt k)) (pow (* n (* 2 PI)) (/ k 2)))) 51.938 * * * * [progress]: [ 184 / 197 ] simplifiying candidate #real (real->posit16 (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k))))))> 51.938 * * * * [progress]: [ 185 / 197 ] simplifiying candidate # 51.938 * * * * [progress]: [ 186 / 197 ] simplifiying candidate # 51.938 * [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))))) 51.939 * * [simplify]: iters left: 6 (37 enodes) 51.960 * * [simplify]: iters left: 5 (190 enodes) 52.021 * * [simplify]: Extracting #0: cost 1 inf + 0 52.021 * * [simplify]: Extracting #1: cost 22 inf + 0 52.022 * * [simplify]: Extracting #2: cost 108 inf + 1 52.023 * * [simplify]: Extracting #3: cost 171 inf + 46 52.023 * * [simplify]: Extracting #4: cost 189 inf + 427 52.026 * * [simplify]: Extracting #5: cost 128 inf + 16032 52.034 * * [simplify]: Extracting #6: cost 29 inf + 57153 52.049 * * [simplify]: Extracting #7: cost 4 inf + 75884 52.072 * * [simplify]: Extracting #8: cost 0 inf + 78767 52.103 * [simplify]: Simplified to (fma (* (log (* PI 2)) 1/4) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k k) (log n))) (- (fma (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k (log n)) (* k (log n)))) 1/8 (fma (* (* 1/8 (log (* PI 2))) (log (* PI 2))) (* (* k k) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (exp (* (+ (log n) (log (* PI 2))) 1/2)))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) 1/2))) 52.103 * [simplify]: Simplified (2 1) to (λ (k n) (* (fma (* (log (* PI 2)) 1/4) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k k) (log n))) (- (fma (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k (log n)) (* k (log n)))) 1/8 (fma (* (* 1/8 (log (* PI 2))) (log (* PI 2))) (* (* k k) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (exp (* (+ (log n) (log (* PI 2))) 1/2)))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) 1/2))) (/ 1 (sqrt k)))) 52.104 * * * * [progress]: [ 187 / 197 ] simplifiying candidate # 52.104 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 52.104 * * [simplify]: iters left: 6 (15 enodes) 52.113 * * [simplify]: iters left: 5 (65 enodes) 52.140 * * [simplify]: iters left: 4 (123 enodes) 52.188 * * [simplify]: iters left: 3 (368 enodes) 52.356 * * [simplify]: Extracting #0: cost 1 inf + 0 52.356 * * [simplify]: Extracting #1: cost 37 inf + 0 52.357 * * [simplify]: Extracting #2: cost 216 inf + 72 52.358 * * [simplify]: Extracting #3: cost 359 inf + 1294 52.362 * * [simplify]: Extracting #4: cost 227 inf + 27604 52.386 * * [simplify]: Extracting #5: cost 34 inf + 80469 52.423 * * [simplify]: Extracting #6: cost 0 inf + 90323 52.457 * * [simplify]: Extracting #7: cost 0 inf + 90139 52.489 * * [simplify]: Extracting #8: cost 0 inf + 90138 52.522 * [simplify]: Simplified to (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) 52.522 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) (/ 1 (sqrt k)))) 52.522 * * * * [progress]: [ 188 / 197 ] simplifiying candidate # 52.523 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 52.523 * * [simplify]: iters left: 6 (16 enodes) 52.534 * * [simplify]: iters left: 5 (67 enodes) 52.564 * * [simplify]: iters left: 4 (134 enodes) 52.624 * * [simplify]: iters left: 3 (413 enodes) 52.870 * * [simplify]: Extracting #0: cost 1 inf + 0 52.870 * * [simplify]: Extracting #1: cost 39 inf + 0 52.871 * * [simplify]: Extracting #2: cost 241 inf + 72 52.873 * * [simplify]: Extracting #3: cost 450 inf + 903 52.880 * * [simplify]: Extracting #4: cost 376 inf + 10375 52.890 * * [simplify]: Extracting #5: cost 157 inf + 67388 52.916 * * [simplify]: Extracting #6: cost 12 inf + 118840 52.961 * * [simplify]: Extracting #7: cost 0 inf + 121984 53.005 * * [simplify]: Extracting #8: cost 0 inf + 121983 53.027 * [simplify]: Simplified to (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) 53.027 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) (/ 1 (sqrt k)))) 53.027 * * * * [progress]: [ 189 / 197 ] simplifiying candidate # 53.027 * [simplify]: Simplifying (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 53.028 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) +nan.0)) 53.028 * * * * [progress]: [ 190 / 197 ] simplifiying candidate # 53.028 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 53.028 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) +nan.0)) 53.028 * * * * [progress]: [ 191 / 197 ] simplifiying candidate # 53.028 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 53.028 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) +nan.0)) 53.028 * * * * [progress]: [ 192 / 197 ] simplifiying candidate # 53.028 * [simplify]: Simplifying (* 2 (* n PI)) 53.028 * * [simplify]: iters left: 4 (5 enodes) 53.030 * * [simplify]: iters left: 3 (19 enodes) 53.033 * * [simplify]: iters left: 2 (27 enodes) 53.038 * * [simplify]: iters left: 1 (32 enodes) 53.042 * * [simplify]: Extracting #0: cost 1 inf + 0 53.042 * * [simplify]: Extracting #1: cost 8 inf + 0 53.042 * * [simplify]: Extracting #2: cost 7 inf + 45 53.042 * * [simplify]: Extracting #3: cost 0 inf + 421 53.042 * [simplify]: Simplified to (* (* PI n) 2) 53.042 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI n) 2) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 53.043 * * * * [progress]: [ 193 / 197 ] simplifiying candidate # 53.043 * [simplify]: Simplifying (* 2 (* n PI)) 53.043 * * [simplify]: iters left: 4 (5 enodes) 53.044 * * [simplify]: iters left: 3 (19 enodes) 53.048 * * [simplify]: iters left: 2 (27 enodes) 53.052 * * [simplify]: iters left: 1 (32 enodes) 53.056 * * [simplify]: Extracting #0: cost 1 inf + 0 53.056 * * [simplify]: Extracting #1: cost 8 inf + 0 53.056 * * [simplify]: Extracting #2: cost 7 inf + 45 53.057 * * [simplify]: Extracting #3: cost 0 inf + 421 53.057 * [simplify]: Simplified to (* (* PI n) 2) 53.057 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI n) 2) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 53.057 * * * * [progress]: [ 194 / 197 ] simplifiying candidate # 53.057 * [simplify]: Simplifying (* 2 (* n PI)) 53.057 * * [simplify]: iters left: 4 (5 enodes) 53.058 * * [simplify]: iters left: 3 (19 enodes) 53.062 * * [simplify]: iters left: 2 (27 enodes) 53.070 * * [simplify]: iters left: 1 (32 enodes) 53.079 * * [simplify]: Extracting #0: cost 1 inf + 0 53.079 * * [simplify]: Extracting #1: cost 8 inf + 0 53.079 * * [simplify]: Extracting #2: cost 7 inf + 45 53.079 * * [simplify]: Extracting #3: cost 0 inf + 421 53.080 * [simplify]: Simplified to (* (* PI n) 2) 53.080 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI n) 2) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 53.080 * * * * [progress]: [ 195 / 197 ] simplifiying candidate # 53.080 * [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)))))))))))))))))))))) 53.080 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 53.081 * * * * [progress]: [ 196 / 197 ] simplifiying candidate # 53.081 * [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)))))))) 53.081 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 53.081 * * * * [progress]: [ 197 / 197 ] simplifiying candidate # 53.082 * [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)))))))))))) 53.082 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 53.082 * * * [progress]: adding candidates to table 55.342 * * [progress]: iteration 3 / 4 55.342 * * * [progress]: picking best candidate 55.387 * * * * [pick]: Picked # 55.387 * * * [progress]: localizing error 55.435 * * * [progress]: generating rewritten candidates 55.435 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 55.461 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 55.473 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 55.508 * * * [progress]: generating series expansions 55.508 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 55.510 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) 55.510 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0 55.510 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 55.510 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 55.510 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 55.510 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 55.510 * [taylor]: Taking taylor expansion of 1/2 in k 55.510 * [backup-simplify]: Simplify 1/2 into 1/2 55.510 * [taylor]: Taking taylor expansion of (- 1 k) in k 55.510 * [taylor]: Taking taylor expansion of 1 in k 55.510 * [backup-simplify]: Simplify 1 into 1 55.510 * [taylor]: Taking taylor expansion of k in k 55.510 * [backup-simplify]: Simplify 0 into 0 55.510 * [backup-simplify]: Simplify 1 into 1 55.510 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 55.510 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 55.510 * [taylor]: Taking taylor expansion of 2 in k 55.510 * [backup-simplify]: Simplify 2 into 2 55.510 * [taylor]: Taking taylor expansion of (* n PI) in k 55.510 * [taylor]: Taking taylor expansion of n in k 55.510 * [backup-simplify]: Simplify n into n 55.510 * [taylor]: Taking taylor expansion of PI in k 55.510 * [backup-simplify]: Simplify PI into PI 55.510 * [backup-simplify]: Simplify (* n PI) into (* n PI) 55.510 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 55.510 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 55.511 * [backup-simplify]: Simplify (- 0) into 0 55.511 * [backup-simplify]: Simplify (+ 1 0) into 1 55.512 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 55.512 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 55.512 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 55.512 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 55.512 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 55.512 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 55.512 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 55.512 * [taylor]: Taking taylor expansion of 1/2 in n 55.512 * [backup-simplify]: Simplify 1/2 into 1/2 55.512 * [taylor]: Taking taylor expansion of (- 1 k) in n 55.512 * [taylor]: Taking taylor expansion of 1 in n 55.512 * [backup-simplify]: Simplify 1 into 1 55.512 * [taylor]: Taking taylor expansion of k in n 55.512 * [backup-simplify]: Simplify k into k 55.512 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 55.512 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 55.512 * [taylor]: Taking taylor expansion of 2 in n 55.512 * [backup-simplify]: Simplify 2 into 2 55.512 * [taylor]: Taking taylor expansion of (* n PI) in n 55.512 * [taylor]: Taking taylor expansion of n in n 55.513 * [backup-simplify]: Simplify 0 into 0 55.513 * [backup-simplify]: Simplify 1 into 1 55.513 * [taylor]: Taking taylor expansion of PI in n 55.513 * [backup-simplify]: Simplify PI into PI 55.513 * [backup-simplify]: Simplify (* 0 PI) into 0 55.514 * [backup-simplify]: Simplify (* 2 0) into 0 55.515 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 55.517 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 55.518 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 55.518 * [backup-simplify]: Simplify (- k) into (- k) 55.518 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 55.518 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 55.519 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 55.521 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 55.521 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 55.521 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 55.521 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 55.521 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 55.521 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 55.521 * [taylor]: Taking taylor expansion of 1/2 in n 55.521 * [backup-simplify]: Simplify 1/2 into 1/2 55.521 * [taylor]: Taking taylor expansion of (- 1 k) in n 55.521 * [taylor]: Taking taylor expansion of 1 in n 55.521 * [backup-simplify]: Simplify 1 into 1 55.522 * [taylor]: Taking taylor expansion of k in n 55.522 * [backup-simplify]: Simplify k into k 55.522 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 55.522 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 55.522 * [taylor]: Taking taylor expansion of 2 in n 55.522 * [backup-simplify]: Simplify 2 into 2 55.522 * [taylor]: Taking taylor expansion of (* n PI) in n 55.522 * [taylor]: Taking taylor expansion of n in n 55.522 * [backup-simplify]: Simplify 0 into 0 55.522 * [backup-simplify]: Simplify 1 into 1 55.522 * [taylor]: Taking taylor expansion of PI in n 55.522 * [backup-simplify]: Simplify PI into PI 55.522 * [backup-simplify]: Simplify (* 0 PI) into 0 55.522 * [backup-simplify]: Simplify (* 2 0) into 0 55.523 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 55.524 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 55.525 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 55.525 * [backup-simplify]: Simplify (- k) into (- k) 55.525 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 55.525 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 55.526 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 55.526 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 55.527 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 55.527 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 55.527 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 55.527 * [taylor]: Taking taylor expansion of 1/2 in k 55.527 * [backup-simplify]: Simplify 1/2 into 1/2 55.527 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 55.527 * [taylor]: Taking taylor expansion of (- 1 k) in k 55.527 * [taylor]: Taking taylor expansion of 1 in k 55.527 * [backup-simplify]: Simplify 1 into 1 55.527 * [taylor]: Taking taylor expansion of k in k 55.527 * [backup-simplify]: Simplify 0 into 0 55.527 * [backup-simplify]: Simplify 1 into 1 55.527 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 55.527 * [taylor]: Taking taylor expansion of (log n) in k 55.527 * [taylor]: Taking taylor expansion of n in k 55.527 * [backup-simplify]: Simplify n into n 55.528 * [backup-simplify]: Simplify (log n) into (log n) 55.528 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 55.528 * [taylor]: Taking taylor expansion of (* 2 PI) in k 55.528 * [taylor]: Taking taylor expansion of 2 in k 55.528 * [backup-simplify]: Simplify 2 into 2 55.528 * [taylor]: Taking taylor expansion of PI in k 55.528 * [backup-simplify]: Simplify PI into PI 55.528 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 55.529 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 55.529 * [backup-simplify]: Simplify (- 0) into 0 55.529 * [backup-simplify]: Simplify (+ 1 0) into 1 55.530 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 55.530 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 55.531 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 55.532 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 55.532 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 55.533 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 55.533 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 55.534 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 55.535 * [backup-simplify]: Simplify (- 0) into 0 55.535 * [backup-simplify]: Simplify (+ 0 0) into 0 55.535 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 55.536 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 55.537 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 55.538 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 55.538 * [taylor]: Taking taylor expansion of 0 in k 55.538 * [backup-simplify]: Simplify 0 into 0 55.538 * [backup-simplify]: Simplify 0 into 0 55.539 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 55.539 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 55.540 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 55.540 * [backup-simplify]: Simplify (+ 0 0) into 0 55.541 * [backup-simplify]: Simplify (- 1) into -1 55.541 * [backup-simplify]: Simplify (+ 0 -1) into -1 55.542 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 55.543 * [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))))) 55.545 * [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))))))) 55.547 * [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))))))) 55.547 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 55.548 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 55.551 * [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 55.551 * [backup-simplify]: Simplify (- 0) into 0 55.552 * [backup-simplify]: Simplify (+ 0 0) into 0 55.552 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 55.554 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 55.555 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 55.558 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 55.558 * [taylor]: Taking taylor expansion of 0 in k 55.558 * [backup-simplify]: Simplify 0 into 0 55.558 * [backup-simplify]: Simplify 0 into 0 55.558 * [backup-simplify]: Simplify 0 into 0 55.559 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 55.560 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 55.563 * [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 55.564 * [backup-simplify]: Simplify (+ 0 0) into 0 55.564 * [backup-simplify]: Simplify (- 0) into 0 55.564 * [backup-simplify]: Simplify (+ 0 0) into 0 55.566 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 55.568 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 55.572 * [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))))) 55.576 * [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))))) 55.584 * [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))))) 55.585 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) 55.585 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 55.585 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 55.585 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 55.585 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 55.585 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 55.585 * [taylor]: Taking taylor expansion of 1/2 in k 55.585 * [backup-simplify]: Simplify 1/2 into 1/2 55.585 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 55.585 * [taylor]: Taking taylor expansion of 1 in k 55.585 * [backup-simplify]: Simplify 1 into 1 55.585 * [taylor]: Taking taylor expansion of (/ 1 k) in k 55.585 * [taylor]: Taking taylor expansion of k in k 55.585 * [backup-simplify]: Simplify 0 into 0 55.585 * [backup-simplify]: Simplify 1 into 1 55.586 * [backup-simplify]: Simplify (/ 1 1) into 1 55.586 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 55.586 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 55.586 * [taylor]: Taking taylor expansion of 2 in k 55.586 * [backup-simplify]: Simplify 2 into 2 55.586 * [taylor]: Taking taylor expansion of (/ PI n) in k 55.586 * [taylor]: Taking taylor expansion of PI in k 55.586 * [backup-simplify]: Simplify PI into PI 55.586 * [taylor]: Taking taylor expansion of n in k 55.586 * [backup-simplify]: Simplify n into n 55.586 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 55.586 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 55.586 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 55.586 * [backup-simplify]: Simplify (- 1) into -1 55.587 * [backup-simplify]: Simplify (+ 0 -1) into -1 55.587 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 55.587 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 55.587 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 55.587 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 55.587 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 55.588 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 55.588 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 55.588 * [taylor]: Taking taylor expansion of 1/2 in n 55.588 * [backup-simplify]: Simplify 1/2 into 1/2 55.588 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 55.588 * [taylor]: Taking taylor expansion of 1 in n 55.588 * [backup-simplify]: Simplify 1 into 1 55.588 * [taylor]: Taking taylor expansion of (/ 1 k) in n 55.588 * [taylor]: Taking taylor expansion of k in n 55.588 * [backup-simplify]: Simplify k into k 55.588 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 55.588 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 55.588 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 55.588 * [taylor]: Taking taylor expansion of 2 in n 55.588 * [backup-simplify]: Simplify 2 into 2 55.588 * [taylor]: Taking taylor expansion of (/ PI n) in n 55.588 * [taylor]: Taking taylor expansion of PI in n 55.588 * [backup-simplify]: Simplify PI into PI 55.588 * [taylor]: Taking taylor expansion of n in n 55.588 * [backup-simplify]: Simplify 0 into 0 55.588 * [backup-simplify]: Simplify 1 into 1 55.588 * [backup-simplify]: Simplify (/ PI 1) into PI 55.589 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 55.589 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 55.589 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 55.590 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 55.590 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 55.591 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 55.591 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 55.592 * [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))))) 55.592 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 55.592 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 55.592 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 55.592 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 55.592 * [taylor]: Taking taylor expansion of 1/2 in n 55.592 * [backup-simplify]: Simplify 1/2 into 1/2 55.592 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 55.592 * [taylor]: Taking taylor expansion of 1 in n 55.592 * [backup-simplify]: Simplify 1 into 1 55.592 * [taylor]: Taking taylor expansion of (/ 1 k) in n 55.592 * [taylor]: Taking taylor expansion of k in n 55.592 * [backup-simplify]: Simplify k into k 55.592 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 55.593 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 55.593 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 55.593 * [taylor]: Taking taylor expansion of 2 in n 55.593 * [backup-simplify]: Simplify 2 into 2 55.593 * [taylor]: Taking taylor expansion of (/ PI n) in n 55.593 * [taylor]: Taking taylor expansion of PI in n 55.593 * [backup-simplify]: Simplify PI into PI 55.593 * [taylor]: Taking taylor expansion of n in n 55.593 * [backup-simplify]: Simplify 0 into 0 55.593 * [backup-simplify]: Simplify 1 into 1 55.593 * [backup-simplify]: Simplify (/ PI 1) into PI 55.593 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 55.594 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 55.594 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 55.594 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 55.594 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 55.595 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 55.596 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 55.596 * [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))))) 55.596 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 55.596 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 55.596 * [taylor]: Taking taylor expansion of 1/2 in k 55.596 * [backup-simplify]: Simplify 1/2 into 1/2 55.596 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 55.596 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 55.596 * [taylor]: Taking taylor expansion of 1 in k 55.596 * [backup-simplify]: Simplify 1 into 1 55.596 * [taylor]: Taking taylor expansion of (/ 1 k) in k 55.596 * [taylor]: Taking taylor expansion of k in k 55.597 * [backup-simplify]: Simplify 0 into 0 55.597 * [backup-simplify]: Simplify 1 into 1 55.597 * [backup-simplify]: Simplify (/ 1 1) into 1 55.597 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 55.597 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 55.597 * [taylor]: Taking taylor expansion of (* 2 PI) in k 55.597 * [taylor]: Taking taylor expansion of 2 in k 55.597 * [backup-simplify]: Simplify 2 into 2 55.597 * [taylor]: Taking taylor expansion of PI in k 55.597 * [backup-simplify]: Simplify PI into PI 55.597 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 55.598 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 55.598 * [taylor]: Taking taylor expansion of (log n) in k 55.598 * [taylor]: Taking taylor expansion of n in k 55.598 * [backup-simplify]: Simplify n into n 55.598 * [backup-simplify]: Simplify (log n) into (log n) 55.598 * [backup-simplify]: Simplify (- 1) into -1 55.598 * [backup-simplify]: Simplify (+ 0 -1) into -1 55.599 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 55.599 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 55.600 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 55.600 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 55.601 * [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))))) 55.602 * [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))))) 55.602 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 55.603 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 55.604 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 55.604 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 55.604 * [backup-simplify]: Simplify (- 0) into 0 55.604 * [backup-simplify]: Simplify (+ 0 0) into 0 55.605 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 55.606 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 55.606 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 55.607 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 55.608 * [taylor]: Taking taylor expansion of 0 in k 55.608 * [backup-simplify]: Simplify 0 into 0 55.608 * [backup-simplify]: Simplify 0 into 0 55.608 * [backup-simplify]: Simplify 0 into 0 55.608 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 55.609 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 55.611 * [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 55.611 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 55.611 * [backup-simplify]: Simplify (- 0) into 0 55.612 * [backup-simplify]: Simplify (+ 0 0) into 0 55.618 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 55.619 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 55.621 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 55.623 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 55.623 * [taylor]: Taking taylor expansion of 0 in k 55.623 * [backup-simplify]: Simplify 0 into 0 55.623 * [backup-simplify]: Simplify 0 into 0 55.623 * [backup-simplify]: Simplify 0 into 0 55.624 * [backup-simplify]: Simplify 0 into 0 55.625 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 55.626 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 55.630 * [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 55.631 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 55.631 * [backup-simplify]: Simplify (- 0) into 0 55.631 * [backup-simplify]: Simplify (+ 0 0) into 0 55.632 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 55.633 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 55.634 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 55.635 * [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 55.635 * [taylor]: Taking taylor expansion of 0 in k 55.635 * [backup-simplify]: Simplify 0 into 0 55.636 * [backup-simplify]: Simplify 0 into 0 55.636 * [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)))))) 55.637 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) 55.637 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 55.637 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 55.637 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 55.637 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 55.637 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 55.637 * [taylor]: Taking taylor expansion of 1/2 in k 55.637 * [backup-simplify]: Simplify 1/2 into 1/2 55.637 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 55.637 * [taylor]: Taking taylor expansion of (/ 1 k) in k 55.637 * [taylor]: Taking taylor expansion of k in k 55.637 * [backup-simplify]: Simplify 0 into 0 55.637 * [backup-simplify]: Simplify 1 into 1 55.637 * [backup-simplify]: Simplify (/ 1 1) into 1 55.637 * [taylor]: Taking taylor expansion of 1 in k 55.637 * [backup-simplify]: Simplify 1 into 1 55.637 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 55.637 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 55.637 * [taylor]: Taking taylor expansion of -2 in k 55.637 * [backup-simplify]: Simplify -2 into -2 55.637 * [taylor]: Taking taylor expansion of (/ PI n) in k 55.637 * [taylor]: Taking taylor expansion of PI in k 55.637 * [backup-simplify]: Simplify PI into PI 55.637 * [taylor]: Taking taylor expansion of n in k 55.637 * [backup-simplify]: Simplify n into n 55.637 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 55.637 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 55.637 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 55.638 * [backup-simplify]: Simplify (+ 1 0) into 1 55.638 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 55.638 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 55.638 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 55.638 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 55.638 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 55.638 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 55.638 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 55.638 * [taylor]: Taking taylor expansion of 1/2 in n 55.638 * [backup-simplify]: Simplify 1/2 into 1/2 55.638 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 55.638 * [taylor]: Taking taylor expansion of (/ 1 k) in n 55.638 * [taylor]: Taking taylor expansion of k in n 55.638 * [backup-simplify]: Simplify k into k 55.638 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 55.638 * [taylor]: Taking taylor expansion of 1 in n 55.638 * [backup-simplify]: Simplify 1 into 1 55.638 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 55.638 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 55.638 * [taylor]: Taking taylor expansion of -2 in n 55.638 * [backup-simplify]: Simplify -2 into -2 55.638 * [taylor]: Taking taylor expansion of (/ PI n) in n 55.638 * [taylor]: Taking taylor expansion of PI in n 55.638 * [backup-simplify]: Simplify PI into PI 55.639 * [taylor]: Taking taylor expansion of n in n 55.639 * [backup-simplify]: Simplify 0 into 0 55.639 * [backup-simplify]: Simplify 1 into 1 55.639 * [backup-simplify]: Simplify (/ PI 1) into PI 55.639 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 55.640 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 55.640 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 55.640 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 55.641 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 55.642 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 55.642 * [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))))) 55.642 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 55.642 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 55.642 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 55.642 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 55.642 * [taylor]: Taking taylor expansion of 1/2 in n 55.642 * [backup-simplify]: Simplify 1/2 into 1/2 55.642 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 55.642 * [taylor]: Taking taylor expansion of (/ 1 k) in n 55.643 * [taylor]: Taking taylor expansion of k in n 55.643 * [backup-simplify]: Simplify k into k 55.643 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 55.643 * [taylor]: Taking taylor expansion of 1 in n 55.643 * [backup-simplify]: Simplify 1 into 1 55.643 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 55.643 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 55.643 * [taylor]: Taking taylor expansion of -2 in n 55.643 * [backup-simplify]: Simplify -2 into -2 55.643 * [taylor]: Taking taylor expansion of (/ PI n) in n 55.643 * [taylor]: Taking taylor expansion of PI in n 55.643 * [backup-simplify]: Simplify PI into PI 55.643 * [taylor]: Taking taylor expansion of n in n 55.643 * [backup-simplify]: Simplify 0 into 0 55.643 * [backup-simplify]: Simplify 1 into 1 55.643 * [backup-simplify]: Simplify (/ PI 1) into PI 55.643 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 55.644 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 55.644 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 55.644 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 55.645 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 55.646 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 55.646 * [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))))) 55.646 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 55.646 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 55.646 * [taylor]: Taking taylor expansion of 1/2 in k 55.646 * [backup-simplify]: Simplify 1/2 into 1/2 55.646 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 55.646 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 55.646 * [taylor]: Taking taylor expansion of (/ 1 k) in k 55.646 * [taylor]: Taking taylor expansion of k in k 55.646 * [backup-simplify]: Simplify 0 into 0 55.646 * [backup-simplify]: Simplify 1 into 1 55.647 * [backup-simplify]: Simplify (/ 1 1) into 1 55.647 * [taylor]: Taking taylor expansion of 1 in k 55.647 * [backup-simplify]: Simplify 1 into 1 55.647 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 55.647 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 55.647 * [taylor]: Taking taylor expansion of (* -2 PI) in k 55.647 * [taylor]: Taking taylor expansion of -2 in k 55.647 * [backup-simplify]: Simplify -2 into -2 55.647 * [taylor]: Taking taylor expansion of PI in k 55.647 * [backup-simplify]: Simplify PI into PI 55.647 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 55.648 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 55.648 * [taylor]: Taking taylor expansion of (log n) in k 55.648 * [taylor]: Taking taylor expansion of n in k 55.648 * [backup-simplify]: Simplify n into n 55.648 * [backup-simplify]: Simplify (log n) into (log n) 55.648 * [backup-simplify]: Simplify (+ 1 0) into 1 55.648 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 55.649 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 55.649 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 55.650 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 55.651 * [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))))) 55.651 * [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))))) 55.652 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 55.652 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 55.653 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 55.654 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 55.654 * [backup-simplify]: Simplify (+ 0 0) into 0 55.654 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 55.655 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 55.656 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 55.657 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 55.657 * [taylor]: Taking taylor expansion of 0 in k 55.657 * [backup-simplify]: Simplify 0 into 0 55.657 * [backup-simplify]: Simplify 0 into 0 55.657 * [backup-simplify]: Simplify 0 into 0 55.658 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 55.659 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 55.663 * [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 55.663 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 55.663 * [backup-simplify]: Simplify (+ 0 0) into 0 55.664 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 55.666 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 55.667 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 55.669 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 55.669 * [taylor]: Taking taylor expansion of 0 in k 55.669 * [backup-simplify]: Simplify 0 into 0 55.669 * [backup-simplify]: Simplify 0 into 0 55.669 * [backup-simplify]: Simplify 0 into 0 55.669 * [backup-simplify]: Simplify 0 into 0 55.671 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 55.672 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 55.676 * [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 55.676 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 55.676 * [backup-simplify]: Simplify (+ 0 0) into 0 55.677 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 55.678 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 55.679 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 55.680 * [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 55.680 * [taylor]: Taking taylor expansion of 0 in k 55.680 * [backup-simplify]: Simplify 0 into 0 55.680 * [backup-simplify]: Simplify 0 into 0 55.681 * [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)))))) 55.681 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 55.681 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI)) 55.682 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 55.682 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 55.682 * [taylor]: Taking taylor expansion of 2 in n 55.682 * [backup-simplify]: Simplify 2 into 2 55.682 * [taylor]: Taking taylor expansion of (* n PI) in n 55.682 * [taylor]: Taking taylor expansion of n in n 55.682 * [backup-simplify]: Simplify 0 into 0 55.682 * [backup-simplify]: Simplify 1 into 1 55.682 * [taylor]: Taking taylor expansion of PI in n 55.682 * [backup-simplify]: Simplify PI into PI 55.682 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 55.682 * [taylor]: Taking taylor expansion of 2 in n 55.682 * [backup-simplify]: Simplify 2 into 2 55.682 * [taylor]: Taking taylor expansion of (* n PI) in n 55.682 * [taylor]: Taking taylor expansion of n in n 55.682 * [backup-simplify]: Simplify 0 into 0 55.682 * [backup-simplify]: Simplify 1 into 1 55.682 * [taylor]: Taking taylor expansion of PI in n 55.682 * [backup-simplify]: Simplify PI into PI 55.682 * [backup-simplify]: Simplify (* 0 PI) into 0 55.682 * [backup-simplify]: Simplify (* 2 0) into 0 55.682 * [backup-simplify]: Simplify 0 into 0 55.683 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 55.684 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 55.684 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 55.685 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 55.686 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 55.686 * [backup-simplify]: Simplify 0 into 0 55.686 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 55.687 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 55.687 * [backup-simplify]: Simplify 0 into 0 55.688 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 55.688 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 55.689 * [backup-simplify]: Simplify 0 into 0 55.689 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 55.690 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 55.690 * [backup-simplify]: Simplify 0 into 0 55.691 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 55.692 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 55.692 * [backup-simplify]: Simplify 0 into 0 55.693 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 55.694 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 55.695 * [backup-simplify]: Simplify 0 into 0 55.695 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 55.695 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n)) 55.695 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 55.695 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 55.695 * [taylor]: Taking taylor expansion of 2 in n 55.695 * [backup-simplify]: Simplify 2 into 2 55.695 * [taylor]: Taking taylor expansion of (/ PI n) in n 55.695 * [taylor]: Taking taylor expansion of PI in n 55.695 * [backup-simplify]: Simplify PI into PI 55.695 * [taylor]: Taking taylor expansion of n in n 55.695 * [backup-simplify]: Simplify 0 into 0 55.695 * [backup-simplify]: Simplify 1 into 1 55.696 * [backup-simplify]: Simplify (/ PI 1) into PI 55.696 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 55.696 * [taylor]: Taking taylor expansion of 2 in n 55.696 * [backup-simplify]: Simplify 2 into 2 55.696 * [taylor]: Taking taylor expansion of (/ PI n) in n 55.696 * [taylor]: Taking taylor expansion of PI in n 55.696 * [backup-simplify]: Simplify PI into PI 55.696 * [taylor]: Taking taylor expansion of n in n 55.696 * [backup-simplify]: Simplify 0 into 0 55.696 * [backup-simplify]: Simplify 1 into 1 55.696 * [backup-simplify]: Simplify (/ PI 1) into PI 55.697 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 55.697 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 55.697 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 55.698 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 55.698 * [backup-simplify]: Simplify 0 into 0 55.698 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 55.699 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 55.699 * [backup-simplify]: Simplify 0 into 0 55.700 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 55.700 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 55.700 * [backup-simplify]: Simplify 0 into 0 55.701 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 55.702 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 55.702 * [backup-simplify]: Simplify 0 into 0 55.703 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 55.705 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 55.705 * [backup-simplify]: Simplify 0 into 0 55.706 * [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 55.708 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 55.708 * [backup-simplify]: Simplify 0 into 0 55.709 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 55.709 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n)) 55.709 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 55.709 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 55.709 * [taylor]: Taking taylor expansion of -2 in n 55.709 * [backup-simplify]: Simplify -2 into -2 55.709 * [taylor]: Taking taylor expansion of (/ PI n) in n 55.709 * [taylor]: Taking taylor expansion of PI in n 55.709 * [backup-simplify]: Simplify PI into PI 55.709 * [taylor]: Taking taylor expansion of n in n 55.709 * [backup-simplify]: Simplify 0 into 0 55.709 * [backup-simplify]: Simplify 1 into 1 55.710 * [backup-simplify]: Simplify (/ PI 1) into PI 55.710 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 55.710 * [taylor]: Taking taylor expansion of -2 in n 55.710 * [backup-simplify]: Simplify -2 into -2 55.710 * [taylor]: Taking taylor expansion of (/ PI n) in n 55.710 * [taylor]: Taking taylor expansion of PI in n 55.710 * [backup-simplify]: Simplify PI into PI 55.710 * [taylor]: Taking taylor expansion of n in n 55.710 * [backup-simplify]: Simplify 0 into 0 55.710 * [backup-simplify]: Simplify 1 into 1 55.711 * [backup-simplify]: Simplify (/ PI 1) into PI 55.711 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 55.712 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 55.712 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 55.713 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 55.713 * [backup-simplify]: Simplify 0 into 0 55.714 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 55.715 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 55.715 * [backup-simplify]: Simplify 0 into 0 55.716 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 55.717 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 55.717 * [backup-simplify]: Simplify 0 into 0 55.718 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 55.720 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 55.720 * [backup-simplify]: Simplify 0 into 0 55.721 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 55.722 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 55.722 * [backup-simplify]: Simplify 0 into 0 55.723 * [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 55.730 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 55.730 * [backup-simplify]: Simplify 0 into 0 55.731 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 55.731 * * * * [progress]: [ 3 / 3 ] generating series at (2) 55.732 * [backup-simplify]: Simplify (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2)) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) 55.732 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (n k) around 0 55.732 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 55.732 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 55.732 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 55.732 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 55.732 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 55.732 * [taylor]: Taking taylor expansion of 1/2 in k 55.732 * [backup-simplify]: Simplify 1/2 into 1/2 55.732 * [taylor]: Taking taylor expansion of (- 1 k) in k 55.732 * [taylor]: Taking taylor expansion of 1 in k 55.732 * [backup-simplify]: Simplify 1 into 1 55.732 * [taylor]: Taking taylor expansion of k in k 55.732 * [backup-simplify]: Simplify 0 into 0 55.732 * [backup-simplify]: Simplify 1 into 1 55.732 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 55.732 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 55.732 * [taylor]: Taking taylor expansion of 2 in k 55.732 * [backup-simplify]: Simplify 2 into 2 55.732 * [taylor]: Taking taylor expansion of (* n PI) in k 55.732 * [taylor]: Taking taylor expansion of n in k 55.732 * [backup-simplify]: Simplify n into n 55.733 * [taylor]: Taking taylor expansion of PI in k 55.733 * [backup-simplify]: Simplify PI into PI 55.733 * [backup-simplify]: Simplify (* n PI) into (* n PI) 55.733 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 55.733 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 55.733 * [backup-simplify]: Simplify (- 0) into 0 55.733 * [backup-simplify]: Simplify (+ 1 0) into 1 55.734 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 55.734 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 55.734 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 55.734 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 55.734 * [taylor]: Taking taylor expansion of (/ 1 k) in k 55.734 * [taylor]: Taking taylor expansion of k in k 55.734 * [backup-simplify]: Simplify 0 into 0 55.734 * [backup-simplify]: Simplify 1 into 1 55.734 * [backup-simplify]: Simplify (/ 1 1) into 1 55.734 * [backup-simplify]: Simplify (sqrt 0) into 0 55.735 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 55.735 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 55.735 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 55.735 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 55.735 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 55.735 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 55.735 * [taylor]: Taking taylor expansion of 1/2 in n 55.735 * [backup-simplify]: Simplify 1/2 into 1/2 55.735 * [taylor]: Taking taylor expansion of (- 1 k) in n 55.735 * [taylor]: Taking taylor expansion of 1 in n 55.735 * [backup-simplify]: Simplify 1 into 1 55.736 * [taylor]: Taking taylor expansion of k in n 55.736 * [backup-simplify]: Simplify k into k 55.736 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 55.736 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 55.736 * [taylor]: Taking taylor expansion of 2 in n 55.736 * [backup-simplify]: Simplify 2 into 2 55.736 * [taylor]: Taking taylor expansion of (* n PI) in n 55.736 * [taylor]: Taking taylor expansion of n in n 55.736 * [backup-simplify]: Simplify 0 into 0 55.736 * [backup-simplify]: Simplify 1 into 1 55.736 * [taylor]: Taking taylor expansion of PI in n 55.736 * [backup-simplify]: Simplify PI into PI 55.736 * [backup-simplify]: Simplify (* 0 PI) into 0 55.736 * [backup-simplify]: Simplify (* 2 0) into 0 55.737 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 55.738 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 55.739 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 55.739 * [backup-simplify]: Simplify (- k) into (- k) 55.739 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 55.739 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 55.740 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 55.740 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 55.741 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 55.741 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 55.741 * [taylor]: Taking taylor expansion of (/ 1 k) in n 55.741 * [taylor]: Taking taylor expansion of k in n 55.741 * [backup-simplify]: Simplify k into k 55.741 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 55.741 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 55.741 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 55.741 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 55.741 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 55.741 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 55.742 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 55.742 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 55.742 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 55.742 * [taylor]: Taking taylor expansion of 1/2 in n 55.742 * [backup-simplify]: Simplify 1/2 into 1/2 55.742 * [taylor]: Taking taylor expansion of (- 1 k) in n 55.742 * [taylor]: Taking taylor expansion of 1 in n 55.742 * [backup-simplify]: Simplify 1 into 1 55.742 * [taylor]: Taking taylor expansion of k in n 55.742 * [backup-simplify]: Simplify k into k 55.742 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 55.742 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 55.742 * [taylor]: Taking taylor expansion of 2 in n 55.742 * [backup-simplify]: Simplify 2 into 2 55.742 * [taylor]: Taking taylor expansion of (* n PI) in n 55.742 * [taylor]: Taking taylor expansion of n in n 55.742 * [backup-simplify]: Simplify 0 into 0 55.742 * [backup-simplify]: Simplify 1 into 1 55.742 * [taylor]: Taking taylor expansion of PI in n 55.742 * [backup-simplify]: Simplify PI into PI 55.742 * [backup-simplify]: Simplify (* 0 PI) into 0 55.742 * [backup-simplify]: Simplify (* 2 0) into 0 55.743 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 55.744 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 55.745 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 55.745 * [backup-simplify]: Simplify (- k) into (- k) 55.745 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 55.745 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 55.746 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 55.746 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 55.747 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 55.747 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 55.747 * [taylor]: Taking taylor expansion of (/ 1 k) in n 55.747 * [taylor]: Taking taylor expansion of k in n 55.747 * [backup-simplify]: Simplify k into k 55.747 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 55.747 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 55.747 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 55.747 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 55.748 * [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))) 55.748 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) in k 55.748 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 55.748 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 55.748 * [taylor]: Taking taylor expansion of 1/2 in k 55.748 * [backup-simplify]: Simplify 1/2 into 1/2 55.748 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 55.748 * [taylor]: Taking taylor expansion of (- 1 k) in k 55.748 * [taylor]: Taking taylor expansion of 1 in k 55.748 * [backup-simplify]: Simplify 1 into 1 55.748 * [taylor]: Taking taylor expansion of k in k 55.748 * [backup-simplify]: Simplify 0 into 0 55.748 * [backup-simplify]: Simplify 1 into 1 55.748 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 55.748 * [taylor]: Taking taylor expansion of (log n) in k 55.748 * [taylor]: Taking taylor expansion of n in k 55.748 * [backup-simplify]: Simplify n into n 55.748 * [backup-simplify]: Simplify (log n) into (log n) 55.748 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 55.748 * [taylor]: Taking taylor expansion of (* 2 PI) in k 55.748 * [taylor]: Taking taylor expansion of 2 in k 55.748 * [backup-simplify]: Simplify 2 into 2 55.748 * [taylor]: Taking taylor expansion of PI in k 55.748 * [backup-simplify]: Simplify PI into PI 55.749 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 55.749 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 55.750 * [backup-simplify]: Simplify (- 0) into 0 55.750 * [backup-simplify]: Simplify (+ 1 0) into 1 55.751 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 55.751 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 55.752 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 55.752 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 55.753 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 55.753 * [taylor]: Taking taylor expansion of (/ 1 k) in k 55.753 * [taylor]: Taking taylor expansion of k in k 55.753 * [backup-simplify]: Simplify 0 into 0 55.753 * [backup-simplify]: Simplify 1 into 1 55.753 * [backup-simplify]: Simplify (/ 1 1) into 1 55.753 * [backup-simplify]: Simplify (sqrt 0) into 0 55.754 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 55.755 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 55.755 * [backup-simplify]: Simplify 0 into 0 55.756 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 55.756 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 55.757 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 55.757 * [backup-simplify]: Simplify (- 0) into 0 55.758 * [backup-simplify]: Simplify (+ 0 0) into 0 55.758 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 55.759 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 55.759 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 55.761 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 55.762 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (* 0 (sqrt (/ 1 k)))) into 0 55.762 * [taylor]: Taking taylor expansion of 0 in k 55.762 * [backup-simplify]: Simplify 0 into 0 55.762 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 55.763 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 55.765 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 55.765 * [backup-simplify]: Simplify (+ 0 0) into 0 55.766 * [backup-simplify]: Simplify (- 1) into -1 55.766 * [backup-simplify]: Simplify (+ 0 -1) into -1 55.768 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 55.770 * [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))))) 55.773 * [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))))))) 55.776 * [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))))))) 55.778 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 55.778 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 55.778 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 55.780 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 55.781 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 55.784 * [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 55.785 * [backup-simplify]: Simplify (- 0) into 0 55.785 * [backup-simplify]: Simplify (+ 0 0) into 0 55.786 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 55.787 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 55.789 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 55.791 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 55.793 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0 55.793 * [taylor]: Taking taylor expansion of 0 in k 55.793 * [backup-simplify]: Simplify 0 into 0 55.793 * [backup-simplify]: Simplify 0 into 0 55.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 55.797 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 55.799 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 55.800 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 55.802 * [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 55.803 * [backup-simplify]: Simplify (+ 0 0) into 0 55.803 * [backup-simplify]: Simplify (- 0) into 0 55.803 * [backup-simplify]: Simplify (+ 0 0) into 0 55.804 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 55.806 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 55.808 * [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))))) 55.814 * [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)))))))) 55.817 * [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)))))))) 55.817 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 55.817 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 55.818 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 55.819 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 55.823 * [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 55.823 * [backup-simplify]: Simplify (- 0) into 0 55.824 * [backup-simplify]: Simplify (+ 0 0) into 0 55.824 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 k))))) into 0 55.825 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 55.826 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 55.828 * [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 55.829 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0 55.829 * [taylor]: Taking taylor expansion of 0 in k 55.829 * [backup-simplify]: Simplify 0 into 0 55.829 * [backup-simplify]: Simplify 0 into 0 55.829 * [backup-simplify]: Simplify 0 into 0 55.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 55.834 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 55.843 * [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 55.844 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 55.850 * [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 55.850 * [backup-simplify]: Simplify (+ 0 0) into 0 55.851 * [backup-simplify]: Simplify (- 0) into 0 55.851 * [backup-simplify]: Simplify (+ 0 0) into 0 55.853 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 55.856 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 55.862 * [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))))))) 55.879 * [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)))))))))))))) 55.890 * [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)))))))))))))) 55.909 * [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)))))))))))))))))))))) 55.910 * [backup-simplify]: Simplify (* (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) (pow (/ 1 k) -1/2)) into (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) 55.910 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (n k) around 0 55.910 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 55.910 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 55.910 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 55.910 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 55.910 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 55.910 * [taylor]: Taking taylor expansion of 1/2 in k 55.910 * [backup-simplify]: Simplify 1/2 into 1/2 55.910 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 55.910 * [taylor]: Taking taylor expansion of 1 in k 55.910 * [backup-simplify]: Simplify 1 into 1 55.910 * [taylor]: Taking taylor expansion of (/ 1 k) in k 55.910 * [taylor]: Taking taylor expansion of k in k 55.910 * [backup-simplify]: Simplify 0 into 0 55.910 * [backup-simplify]: Simplify 1 into 1 55.911 * [backup-simplify]: Simplify (/ 1 1) into 1 55.911 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 55.911 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 55.911 * [taylor]: Taking taylor expansion of 2 in k 55.911 * [backup-simplify]: Simplify 2 into 2 55.911 * [taylor]: Taking taylor expansion of (/ PI n) in k 55.911 * [taylor]: Taking taylor expansion of PI in k 55.911 * [backup-simplify]: Simplify PI into PI 55.911 * [taylor]: Taking taylor expansion of n in k 55.911 * [backup-simplify]: Simplify n into n 55.911 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 55.911 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 55.911 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 55.912 * [backup-simplify]: Simplify (- 1) into -1 55.912 * [backup-simplify]: Simplify (+ 0 -1) into -1 55.912 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 55.913 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 55.913 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 55.913 * [taylor]: Taking taylor expansion of (sqrt k) in k 55.913 * [taylor]: Taking taylor expansion of k in k 55.913 * [backup-simplify]: Simplify 0 into 0 55.913 * [backup-simplify]: Simplify 1 into 1 55.913 * [backup-simplify]: Simplify (sqrt 0) into 0 55.915 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 55.915 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 55.915 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 55.915 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 55.915 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 55.915 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 55.915 * [taylor]: Taking taylor expansion of 1/2 in n 55.915 * [backup-simplify]: Simplify 1/2 into 1/2 55.915 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 55.915 * [taylor]: Taking taylor expansion of 1 in n 55.915 * [backup-simplify]: Simplify 1 into 1 55.915 * [taylor]: Taking taylor expansion of (/ 1 k) in n 55.915 * [taylor]: Taking taylor expansion of k in n 55.915 * [backup-simplify]: Simplify k into k 55.915 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 55.915 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 55.915 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 55.915 * [taylor]: Taking taylor expansion of 2 in n 55.915 * [backup-simplify]: Simplify 2 into 2 55.915 * [taylor]: Taking taylor expansion of (/ PI n) in n 55.915 * [taylor]: Taking taylor expansion of PI in n 55.915 * [backup-simplify]: Simplify PI into PI 55.915 * [taylor]: Taking taylor expansion of n in n 55.915 * [backup-simplify]: Simplify 0 into 0 55.915 * [backup-simplify]: Simplify 1 into 1 55.916 * [backup-simplify]: Simplify (/ PI 1) into PI 55.916 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 55.917 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 55.917 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 55.917 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 55.917 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 55.919 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 55.920 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 55.921 * [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))))) 55.921 * [taylor]: Taking taylor expansion of (sqrt k) in n 55.921 * [taylor]: Taking taylor expansion of k in n 55.921 * [backup-simplify]: Simplify k into k 55.921 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 55.921 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 55.921 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 55.922 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 55.922 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 55.922 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 55.922 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 55.922 * [taylor]: Taking taylor expansion of 1/2 in n 55.922 * [backup-simplify]: Simplify 1/2 into 1/2 55.922 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 55.922 * [taylor]: Taking taylor expansion of 1 in n 55.922 * [backup-simplify]: Simplify 1 into 1 55.922 * [taylor]: Taking taylor expansion of (/ 1 k) in n 55.922 * [taylor]: Taking taylor expansion of k in n 55.922 * [backup-simplify]: Simplify k into k 55.922 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 55.922 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 55.922 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 55.922 * [taylor]: Taking taylor expansion of 2 in n 55.922 * [backup-simplify]: Simplify 2 into 2 55.922 * [taylor]: Taking taylor expansion of (/ PI n) in n 55.922 * [taylor]: Taking taylor expansion of PI in n 55.922 * [backup-simplify]: Simplify PI into PI 55.922 * [taylor]: Taking taylor expansion of n in n 55.922 * [backup-simplify]: Simplify 0 into 0 55.922 * [backup-simplify]: Simplify 1 into 1 55.923 * [backup-simplify]: Simplify (/ PI 1) into PI 55.923 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 55.924 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 55.924 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 55.924 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 55.924 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 55.925 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 55.926 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 55.927 * [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))))) 55.927 * [taylor]: Taking taylor expansion of (sqrt k) in n 55.927 * [taylor]: Taking taylor expansion of k in n 55.927 * [backup-simplify]: Simplify k into k 55.927 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 55.927 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 55.928 * [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)) 55.928 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) in k 55.928 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 55.928 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 55.928 * [taylor]: Taking taylor expansion of 1/2 in k 55.928 * [backup-simplify]: Simplify 1/2 into 1/2 55.928 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 55.928 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 55.928 * [taylor]: Taking taylor expansion of 1 in k 55.928 * [backup-simplify]: Simplify 1 into 1 55.928 * [taylor]: Taking taylor expansion of (/ 1 k) in k 55.928 * [taylor]: Taking taylor expansion of k in k 55.928 * [backup-simplify]: Simplify 0 into 0 55.928 * [backup-simplify]: Simplify 1 into 1 55.928 * [backup-simplify]: Simplify (/ 1 1) into 1 55.928 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 55.928 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 55.928 * [taylor]: Taking taylor expansion of (* 2 PI) in k 55.928 * [taylor]: Taking taylor expansion of 2 in k 55.928 * [backup-simplify]: Simplify 2 into 2 55.928 * [taylor]: Taking taylor expansion of PI in k 55.928 * [backup-simplify]: Simplify PI into PI 55.928 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 55.929 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 55.929 * [taylor]: Taking taylor expansion of (log n) in k 55.929 * [taylor]: Taking taylor expansion of n in k 55.929 * [backup-simplify]: Simplify n into n 55.929 * [backup-simplify]: Simplify (log n) into (log n) 55.929 * [backup-simplify]: Simplify (- 1) into -1 55.930 * [backup-simplify]: Simplify (+ 0 -1) into -1 55.930 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 55.930 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 55.931 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 55.932 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 55.932 * [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))))) 55.932 * [taylor]: Taking taylor expansion of (sqrt k) in k 55.932 * [taylor]: Taking taylor expansion of k in k 55.932 * [backup-simplify]: Simplify 0 into 0 55.932 * [backup-simplify]: Simplify 1 into 1 55.933 * [backup-simplify]: Simplify (sqrt 0) into 0 55.933 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 55.934 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) into 0 55.934 * [backup-simplify]: Simplify 0 into 0 55.935 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 55.935 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 55.936 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 55.936 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 55.937 * [backup-simplify]: Simplify (- 0) into 0 55.937 * [backup-simplify]: Simplify (+ 0 0) into 0 55.937 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 55.938 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 55.939 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 55.940 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 55.940 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (* 0 (sqrt k))) into 0 55.941 * [taylor]: Taking taylor expansion of 0 in k 55.941 * [backup-simplify]: Simplify 0 into 0 55.941 * [backup-simplify]: Simplify 0 into 0 55.941 * [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))))))) 55.942 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 55.943 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 55.943 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 55.944 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 55.946 * [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 55.946 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 55.946 * [backup-simplify]: Simplify (- 0) into 0 55.947 * [backup-simplify]: Simplify (+ 0 0) into 0 55.947 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 55.948 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 55.949 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 55.950 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 55.951 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0 55.951 * [taylor]: Taking taylor expansion of 0 in k 55.951 * [backup-simplify]: Simplify 0 into 0 55.951 * [backup-simplify]: Simplify 0 into 0 55.952 * [backup-simplify]: Simplify 0 into 0 55.954 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 55.956 * [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))))))) 55.957 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 55.958 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 55.965 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 55.966 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 55.975 * [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 55.975 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 55.975 * [backup-simplify]: Simplify (- 0) into 0 55.976 * [backup-simplify]: Simplify (+ 0 0) into 0 55.977 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 55.978 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 55.980 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 55.983 * [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 55.985 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0 55.985 * [taylor]: Taking taylor expansion of 0 in k 55.985 * [backup-simplify]: Simplify 0 into 0 55.985 * [backup-simplify]: Simplify 0 into 0 55.985 * [backup-simplify]: Simplify 0 into 0 55.985 * [backup-simplify]: Simplify 0 into 0 55.989 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 55.991 * [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))))))) 55.993 * [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))))))) 55.997 * [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)))))))) 55.997 * [backup-simplify]: Simplify (* (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) (pow (/ 1 (- k)) -1/2)) into (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) 55.998 * [approximate]: Taking taylor expansion of (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in (n k) around 0 55.998 * [taylor]: Taking taylor expansion of (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in k 55.998 * [taylor]: Taking taylor expansion of (sqrt (/ k -1)) in k 55.998 * [taylor]: Taking taylor expansion of (/ k -1) in k 55.998 * [taylor]: Taking taylor expansion of k in k 55.998 * [backup-simplify]: Simplify 0 into 0 55.998 * [backup-simplify]: Simplify 1 into 1 55.998 * [taylor]: Taking taylor expansion of -1 in k 55.998 * [backup-simplify]: Simplify -1 into -1 55.998 * [backup-simplify]: Simplify (/ 1 -1) into -1 55.999 * [backup-simplify]: Simplify (sqrt 0) into 0 56.000 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 56.000 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 56.000 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 56.000 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 56.000 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 56.000 * [taylor]: Taking taylor expansion of 1/2 in k 56.000 * [backup-simplify]: Simplify 1/2 into 1/2 56.000 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 56.000 * [taylor]: Taking taylor expansion of (/ 1 k) in k 56.000 * [taylor]: Taking taylor expansion of k in k 56.000 * [backup-simplify]: Simplify 0 into 0 56.000 * [backup-simplify]: Simplify 1 into 1 56.001 * [backup-simplify]: Simplify (/ 1 1) into 1 56.001 * [taylor]: Taking taylor expansion of 1 in k 56.001 * [backup-simplify]: Simplify 1 into 1 56.001 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 56.001 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 56.001 * [taylor]: Taking taylor expansion of -2 in k 56.001 * [backup-simplify]: Simplify -2 into -2 56.001 * [taylor]: Taking taylor expansion of (/ PI n) in k 56.001 * [taylor]: Taking taylor expansion of PI in k 56.001 * [backup-simplify]: Simplify PI into PI 56.001 * [taylor]: Taking taylor expansion of n in k 56.001 * [backup-simplify]: Simplify n into n 56.001 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 56.001 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 56.001 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 56.002 * [backup-simplify]: Simplify (+ 1 0) into 1 56.002 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 56.002 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 56.002 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 56.003 * [taylor]: Taking taylor expansion of (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in n 56.003 * [taylor]: Taking taylor expansion of (sqrt (/ k -1)) in n 56.003 * [taylor]: Taking taylor expansion of (/ k -1) in n 56.003 * [taylor]: Taking taylor expansion of k in n 56.003 * [backup-simplify]: Simplify k into k 56.003 * [taylor]: Taking taylor expansion of -1 in n 56.003 * [backup-simplify]: Simplify -1 into -1 56.003 * [backup-simplify]: Simplify (/ k -1) into (* -1 k) 56.003 * [backup-simplify]: Simplify (sqrt (* -1 k)) into (sqrt (* -1 k)) 56.004 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 k) (/ 0 -1)))) into 0 56.004 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* -1 k)))) into 0 56.004 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 56.004 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 56.004 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 56.004 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 56.004 * [taylor]: Taking taylor expansion of 1/2 in n 56.004 * [backup-simplify]: Simplify 1/2 into 1/2 56.004 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 56.004 * [taylor]: Taking taylor expansion of (/ 1 k) in n 56.004 * [taylor]: Taking taylor expansion of k in n 56.004 * [backup-simplify]: Simplify k into k 56.004 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 56.004 * [taylor]: Taking taylor expansion of 1 in n 56.004 * [backup-simplify]: Simplify 1 into 1 56.004 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 56.004 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 56.004 * [taylor]: Taking taylor expansion of -2 in n 56.004 * [backup-simplify]: Simplify -2 into -2 56.004 * [taylor]: Taking taylor expansion of (/ PI n) in n 56.004 * [taylor]: Taking taylor expansion of PI in n 56.004 * [backup-simplify]: Simplify PI into PI 56.004 * [taylor]: Taking taylor expansion of n in n 56.004 * [backup-simplify]: Simplify 0 into 0 56.004 * [backup-simplify]: Simplify 1 into 1 56.005 * [backup-simplify]: Simplify (/ PI 1) into PI 56.005 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 56.006 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 56.006 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 56.006 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 56.008 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 56.009 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 56.010 * [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))))) 56.010 * [taylor]: Taking taylor expansion of (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in n 56.010 * [taylor]: Taking taylor expansion of (sqrt (/ k -1)) in n 56.010 * [taylor]: Taking taylor expansion of (/ k -1) in n 56.010 * [taylor]: Taking taylor expansion of k in n 56.010 * [backup-simplify]: Simplify k into k 56.010 * [taylor]: Taking taylor expansion of -1 in n 56.010 * [backup-simplify]: Simplify -1 into -1 56.010 * [backup-simplify]: Simplify (/ k -1) into (* -1 k) 56.010 * [backup-simplify]: Simplify (sqrt (* -1 k)) into (sqrt (* -1 k)) 56.011 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 k) (/ 0 -1)))) into 0 56.011 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* -1 k)))) into 0 56.011 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 56.011 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 56.011 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 56.011 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 56.012 * [taylor]: Taking taylor expansion of 1/2 in n 56.012 * [backup-simplify]: Simplify 1/2 into 1/2 56.012 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 56.012 * [taylor]: Taking taylor expansion of (/ 1 k) in n 56.012 * [taylor]: Taking taylor expansion of k in n 56.012 * [backup-simplify]: Simplify k into k 56.012 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 56.012 * [taylor]: Taking taylor expansion of 1 in n 56.012 * [backup-simplify]: Simplify 1 into 1 56.012 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 56.012 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 56.012 * [taylor]: Taking taylor expansion of -2 in n 56.012 * [backup-simplify]: Simplify -2 into -2 56.012 * [taylor]: Taking taylor expansion of (/ PI n) in n 56.012 * [taylor]: Taking taylor expansion of PI in n 56.012 * [backup-simplify]: Simplify PI into PI 56.012 * [taylor]: Taking taylor expansion of n in n 56.012 * [backup-simplify]: Simplify 0 into 0 56.012 * [backup-simplify]: Simplify 1 into 1 56.013 * [backup-simplify]: Simplify (/ PI 1) into PI 56.013 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 56.014 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 56.015 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 56.015 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 56.016 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 56.017 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 56.018 * [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))))) 56.019 * [backup-simplify]: Simplify (* (sqrt (* -1 k)) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* (sqrt (* -1 k)) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) 56.020 * [taylor]: Taking taylor expansion of (* (sqrt (* -1 k)) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) in k 56.020 * [taylor]: Taking taylor expansion of (sqrt (* -1 k)) in k 56.020 * [taylor]: Taking taylor expansion of (* -1 k) in k 56.020 * [taylor]: Taking taylor expansion of -1 in k 56.020 * [backup-simplify]: Simplify -1 into -1 56.020 * [taylor]: Taking taylor expansion of k in k 56.020 * [backup-simplify]: Simplify 0 into 0 56.020 * [backup-simplify]: Simplify 1 into 1 56.020 * [backup-simplify]: Simplify (* -1 0) into 0 56.021 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 56.021 * [backup-simplify]: Simplify (sqrt 0) into 0 56.022 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 56.023 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 56.023 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 56.023 * [taylor]: Taking taylor expansion of 1/2 in k 56.023 * [backup-simplify]: Simplify 1/2 into 1/2 56.023 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 56.023 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 56.023 * [taylor]: Taking taylor expansion of (/ 1 k) in k 56.023 * [taylor]: Taking taylor expansion of k in k 56.023 * [backup-simplify]: Simplify 0 into 0 56.023 * [backup-simplify]: Simplify 1 into 1 56.023 * [backup-simplify]: Simplify (/ 1 1) into 1 56.023 * [taylor]: Taking taylor expansion of 1 in k 56.023 * [backup-simplify]: Simplify 1 into 1 56.023 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 56.023 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 56.023 * [taylor]: Taking taylor expansion of (* -2 PI) in k 56.023 * [taylor]: Taking taylor expansion of -2 in k 56.023 * [backup-simplify]: Simplify -2 into -2 56.023 * [taylor]: Taking taylor expansion of PI in k 56.023 * [backup-simplify]: Simplify PI into PI 56.024 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 56.025 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 56.025 * [taylor]: Taking taylor expansion of (log n) in k 56.025 * [taylor]: Taking taylor expansion of n in k 56.025 * [backup-simplify]: Simplify n into n 56.025 * [backup-simplify]: Simplify (log n) into (log n) 56.025 * [backup-simplify]: Simplify (+ 1 0) into 1 56.025 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 56.026 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 56.027 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 56.028 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 56.029 * [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))))) 56.031 * [backup-simplify]: Simplify (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into 0 56.031 * [backup-simplify]: Simplify 0 into 0 56.032 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 56.032 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 56.034 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 56.034 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 56.035 * [backup-simplify]: Simplify (+ 0 0) into 0 56.035 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 56.037 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 56.038 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 56.040 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 56.041 * [backup-simplify]: Simplify (+ (* (sqrt (* -1 k)) 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into 0 56.041 * [taylor]: Taking taylor expansion of 0 in k 56.041 * [backup-simplify]: Simplify 0 into 0 56.041 * [backup-simplify]: Simplify 0 into 0 56.043 * [backup-simplify]: Simplify (+ (* 0 0) (* +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))))))) 56.044 * [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))))))) 56.045 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 56.046 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 56.050 * [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 56.050 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 56.050 * [backup-simplify]: Simplify (+ 0 0) into 0 56.052 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 56.053 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 56.055 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 56.057 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 56.059 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 k) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 56.060 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (* -1 k)))) into 0 56.061 * [backup-simplify]: Simplify (+ (* (sqrt (* -1 k)) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))) into 0 56.061 * [taylor]: Taking taylor expansion of 0 in k 56.061 * [backup-simplify]: Simplify 0 into 0 56.061 * [backup-simplify]: Simplify 0 into 0 56.061 * [backup-simplify]: Simplify 0 into 0 56.062 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 56.066 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 56.068 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +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))))))) 56.069 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) 56.070 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 56.071 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 56.077 * [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 56.078 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 56.078 * [backup-simplify]: Simplify (+ 0 0) into 0 56.079 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 56.081 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 56.083 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 56.085 * [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 56.087 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 k) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 56.088 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (* -1 k)))) into 0 56.090 * [backup-simplify]: Simplify (+ (* (sqrt (* -1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))))) into 0 56.090 * [taylor]: Taking taylor expansion of 0 in k 56.090 * [backup-simplify]: Simplify 0 into 0 56.090 * [backup-simplify]: Simplify 0 into 0 56.090 * [backup-simplify]: Simplify 0 into 0 56.090 * [backup-simplify]: Simplify 0 into 0 56.092 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 56.096 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 56.099 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +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))))))) 56.100 * [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))))))) 56.105 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* (/ 1 (- k)) 1) 3)) (+ (* (- (* +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)))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k))))))) 56.105 * * * [progress]: simplifying candidates 56.105 * * * * [progress]: [ 1 / 118 ] simplifiying candidate # 56.105 * * * * [progress]: [ 2 / 118 ] simplifiying candidate # 56.105 * * * * [progress]: [ 3 / 118 ] simplifiying candidate # 56.106 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) 56.106 * * [simplify]: iters left: 6 (13 enodes) 56.120 * * [simplify]: iters left: 5 (54 enodes) 56.139 * * [simplify]: iters left: 4 (97 enodes) 56.164 * * [simplify]: iters left: 3 (252 enodes) 56.277 * * [simplify]: Extracting #0: cost 1 inf + 0 56.277 * * [simplify]: Extracting #1: cost 38 inf + 0 56.277 * * [simplify]: Extracting #2: cost 133 inf + 73 56.278 * * [simplify]: Extracting #3: cost 162 inf + 1645 56.281 * * [simplify]: Extracting #4: cost 64 inf + 21597 56.288 * * [simplify]: Extracting #5: cost 2 inf + 40621 56.301 * * [simplify]: Extracting #6: cost 0 inf + 41489 56.321 * [simplify]: Simplified to (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2) 56.321 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2)) (pow k -1/2))) 56.322 * * * * [progress]: [ 4 / 118 ] simplifiying candidate # 56.322 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) 56.322 * * [simplify]: iters left: 6 (12 enodes) 56.330 * * [simplify]: iters left: 5 (52 enodes) 56.346 * * [simplify]: iters left: 4 (90 enodes) 56.380 * * [simplify]: iters left: 3 (209 enodes) 56.500 * * [simplify]: Extracting #0: cost 1 inf + 0 56.500 * * [simplify]: Extracting #1: cost 33 inf + 0 56.501 * * [simplify]: Extracting #2: cost 117 inf + 73 56.502 * * [simplify]: Extracting #3: cost 141 inf + 1307 56.506 * * [simplify]: Extracting #4: cost 79 inf + 11364 56.514 * * [simplify]: Extracting #5: cost 30 inf + 22914 56.520 * * [simplify]: Extracting #6: cost 0 inf + 32222 56.526 * * [simplify]: Extracting #7: cost 0 inf + 32142 56.533 * [simplify]: Simplified to (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) 56.533 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2)) (pow k -1/2))) 56.533 * * * * [progress]: [ 5 / 118 ] simplifiying candidate # 56.533 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) 56.533 * * [simplify]: iters left: 6 (11 enodes) 56.537 * * [simplify]: iters left: 5 (51 enodes) 56.547 * * [simplify]: iters left: 4 (97 enodes) 56.584 * * [simplify]: iters left: 3 (203 enodes) 56.667 * * [simplify]: Extracting #0: cost 1 inf + 0 56.667 * * [simplify]: Extracting #1: cost 35 inf + 0 56.667 * * [simplify]: Extracting #2: cost 119 inf + 2 56.668 * * [simplify]: Extracting #3: cost 150 inf + 702 56.670 * * [simplify]: Extracting #4: cost 96 inf + 7237 56.678 * * [simplify]: Extracting #5: cost 29 inf + 21171 56.689 * * [simplify]: Extracting #6: cost 6 inf + 26771 56.701 * * [simplify]: Extracting #7: cost 0 inf + 28612 56.713 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) 56.713 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) (pow k -1/2))) 56.713 * * * * [progress]: [ 6 / 118 ] simplifiying candidate # 56.713 * * * * [progress]: [ 7 / 118 ] simplifiying candidate # 56.713 * [simplify]: Simplifying (* n (* 2 PI)) 56.714 * * [simplify]: iters left: 4 (5 enodes) 56.717 * * [simplify]: iters left: 3 (19 enodes) 56.723 * * [simplify]: iters left: 2 (27 enodes) 56.728 * * [simplify]: iters left: 1 (32 enodes) 56.733 * * [simplify]: Extracting #0: cost 1 inf + 0 56.733 * * [simplify]: Extracting #1: cost 8 inf + 0 56.733 * * [simplify]: Extracting #2: cost 7 inf + 45 56.733 * * [simplify]: Extracting #3: cost 0 inf + 421 56.733 * [simplify]: Simplified to (* (* PI 2) n) 56.734 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (pow k -1/2))) 56.734 * * * * [progress]: [ 8 / 118 ] simplifiying candidate # 56.734 * [simplify]: Simplifying (* n (* 2 PI)) 56.734 * * [simplify]: iters left: 4 (5 enodes) 56.735 * * [simplify]: iters left: 3 (19 enodes) 56.739 * * [simplify]: iters left: 2 (27 enodes) 56.743 * * [simplify]: iters left: 1 (32 enodes) 56.748 * * [simplify]: Extracting #0: cost 1 inf + 0 56.748 * * [simplify]: Extracting #1: cost 8 inf + 0 56.748 * * [simplify]: Extracting #2: cost 7 inf + 45 56.748 * * [simplify]: Extracting #3: cost 0 inf + 421 56.749 * [simplify]: Simplified to (* (* PI 2) n) 56.749 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (pow k -1/2))) 56.749 * * * * [progress]: [ 9 / 118 ] simplifiying candidate # 56.749 * [simplify]: Simplifying (* n (* 2 PI)) 56.749 * * [simplify]: iters left: 4 (5 enodes) 56.751 * * [simplify]: iters left: 3 (19 enodes) 56.754 * * [simplify]: iters left: 2 (27 enodes) 56.763 * * [simplify]: iters left: 1 (32 enodes) 56.772 * * [simplify]: Extracting #0: cost 1 inf + 0 56.772 * * [simplify]: Extracting #1: cost 8 inf + 0 56.772 * * [simplify]: Extracting #2: cost 7 inf + 45 56.772 * * [simplify]: Extracting #3: cost 0 inf + 421 56.772 * [simplify]: Simplified to (* (* PI 2) n) 56.772 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (pow k -1/2))) 56.773 * * * * [progress]: [ 10 / 118 ] simplifiying candidate # 56.773 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ k 2)) 56.773 * * [simplify]: iters left: 5 (8 enodes) 56.777 * * [simplify]: iters left: 4 (31 enodes) 56.790 * * [simplify]: iters left: 3 (51 enodes) 56.806 * * [simplify]: iters left: 2 (85 enodes) 56.834 * * [simplify]: iters left: 1 (152 enodes) 56.868 * * [simplify]: Extracting #0: cost 1 inf + 0 56.868 * * [simplify]: Extracting #1: cost 13 inf + 0 56.868 * * [simplify]: Extracting #2: cost 59 inf + 1 56.868 * * [simplify]: Extracting #3: cost 76 inf + 9 56.869 * * [simplify]: Extracting #4: cost 41 inf + 3303 56.872 * * [simplify]: Extracting #5: cost 16 inf + 10676 56.877 * * [simplify]: Extracting #6: cost 0 inf + 21028 56.883 * * [simplify]: Extracting #7: cost 0 inf + 20456 56.886 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 56.886 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (pow k -1/2))) 56.887 * * * * [progress]: [ 11 / 118 ] simplifiying candidate # 56.887 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2)) 56.887 * * [simplify]: iters left: 5 (6 enodes) 56.889 * * [simplify]: iters left: 4 (26 enodes) 56.896 * * [simplify]: iters left: 3 (35 enodes) 56.902 * * [simplify]: iters left: 2 (37 enodes) 56.908 * * [simplify]: iters left: 1 (41 enodes) 56.914 * * [simplify]: Extracting #0: cost 1 inf + 0 56.914 * * [simplify]: Extracting #1: cost 3 inf + 0 56.914 * * [simplify]: Extracting #2: cost 9 inf + 0 56.914 * * [simplify]: Extracting #3: cost 13 inf + 2 56.914 * * [simplify]: Extracting #4: cost 10 inf + 87 56.914 * * [simplify]: Extracting #5: cost 3 inf + 582 56.915 * * [simplify]: Extracting #6: cost 0 inf + 910 56.915 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2)) 56.915 * [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))) (pow k -1/2))) 56.915 * * * * [progress]: [ 12 / 118 ] simplifiying candidate # 56.915 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2)) 56.915 * * [simplify]: iters left: 5 (6 enodes) 56.917 * * [simplify]: iters left: 4 (26 enodes) 56.923 * * [simplify]: iters left: 3 (35 enodes) 56.933 * * [simplify]: iters left: 2 (37 enodes) 56.944 * * [simplify]: iters left: 1 (41 enodes) 56.953 * * [simplify]: Extracting #0: cost 1 inf + 0 56.953 * * [simplify]: Extracting #1: cost 3 inf + 0 56.953 * * [simplify]: Extracting #2: cost 9 inf + 0 56.953 * * [simplify]: Extracting #3: cost 13 inf + 2 56.953 * * [simplify]: Extracting #4: cost 10 inf + 87 56.953 * * [simplify]: Extracting #5: cost 3 inf + 542 56.954 * * [simplify]: Extracting #6: cost 0 inf + 830 56.954 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2)) 56.954 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))) (pow k -1/2))) 56.954 * * * * [progress]: [ 13 / 118 ] simplifiying candidate # 56.954 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2)) 56.954 * * [simplify]: iters left: 5 (7 enodes) 56.956 * * [simplify]: iters left: 4 (25 enodes) 56.961 * * [simplify]: iters left: 3 (30 enodes) 56.966 * * [simplify]: Extracting #0: cost 1 inf + 0 56.966 * * [simplify]: Extracting #1: cost 4 inf + 0 56.966 * * [simplify]: Extracting #2: cost 8 inf + 0 56.966 * * [simplify]: Extracting #3: cost 10 inf + 82 56.966 * * [simplify]: Extracting #4: cost 7 inf + 206 56.966 * * [simplify]: Extracting #5: cost 2 inf + 575 56.966 * * [simplify]: Extracting #6: cost 1 inf + 818 56.966 * * [simplify]: Extracting #7: cost 0 inf + 1061 56.966 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2)) 56.966 * [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))) (pow k -1/2))) 56.967 * * * * [progress]: [ 14 / 118 ] simplifiying candidate # 56.967 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2)) 56.967 * * [simplify]: iters left: 5 (7 enodes) 56.969 * * [simplify]: iters left: 4 (25 enodes) 56.978 * * [simplify]: iters left: 3 (30 enodes) 56.987 * * [simplify]: Extracting #0: cost 1 inf + 0 56.987 * * [simplify]: Extracting #1: cost 4 inf + 0 56.987 * * [simplify]: Extracting #2: cost 8 inf + 0 56.988 * * [simplify]: Extracting #3: cost 10 inf + 42 56.988 * * [simplify]: Extracting #4: cost 7 inf + 126 56.988 * * [simplify]: Extracting #5: cost 2 inf + 495 56.988 * * [simplify]: Extracting #6: cost 1 inf + 698 56.988 * * [simplify]: Extracting #7: cost 0 inf + 901 56.989 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2)) 56.989 * [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))) (pow k -1/2))) 56.989 * * * * [progress]: [ 15 / 118 ] simplifiying candidate # 56.989 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2) 56.989 * * [simplify]: iters left: 5 (6 enodes) 56.993 * * [simplify]: iters left: 4 (22 enodes) 57.001 * * [simplify]: iters left: 3 (27 enodes) 57.013 * * [simplify]: Extracting #0: cost 1 inf + 0 57.014 * * [simplify]: Extracting #1: cost 4 inf + 0 57.014 * * [simplify]: Extracting #2: cost 5 inf + 1 57.014 * * [simplify]: Extracting #3: cost 9 inf + 1 57.014 * * [simplify]: Extracting #4: cost 8 inf + 3 57.014 * * [simplify]: Extracting #5: cost 4 inf + 169 57.014 * * [simplify]: Extracting #6: cost 1 inf + 576 57.014 * * [simplify]: Extracting #7: cost 0 inf + 739 57.015 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 57.015 * [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)) (pow k -1/2))) 57.015 * * * * [progress]: [ 16 / 118 ] simplifiying candidate # 57.015 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2)) 57.016 * * [simplify]: iters left: 5 (7 enodes) 57.020 * * [simplify]: iters left: 4 (25 enodes) 57.029 * * [simplify]: iters left: 3 (30 enodes) 57.040 * * [simplify]: Extracting #0: cost 1 inf + 0 57.040 * * [simplify]: Extracting #1: cost 4 inf + 0 57.040 * * [simplify]: Extracting #2: cost 8 inf + 0 57.040 * * [simplify]: Extracting #3: cost 10 inf + 82 57.040 * * [simplify]: Extracting #4: cost 7 inf + 206 57.040 * * [simplify]: Extracting #5: cost 2 inf + 495 57.040 * * [simplify]: Extracting #6: cost 1 inf + 698 57.041 * * [simplify]: Extracting #7: cost 0 inf + 901 57.041 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2)) 57.041 * [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))) (pow k -1/2))) 57.041 * * * * [progress]: [ 17 / 118 ] simplifiying candidate # 57.042 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2)) 57.042 * * [simplify]: iters left: 5 (7 enodes) 57.046 * * [simplify]: iters left: 4 (25 enodes) 57.055 * * [simplify]: iters left: 3 (30 enodes) 57.064 * * [simplify]: Extracting #0: cost 1 inf + 0 57.064 * * [simplify]: Extracting #1: cost 4 inf + 0 57.064 * * [simplify]: Extracting #2: cost 8 inf + 0 57.064 * * [simplify]: Extracting #3: cost 10 inf + 42 57.064 * * [simplify]: Extracting #4: cost 7 inf + 126 57.065 * * [simplify]: Extracting #5: cost 2 inf + 415 57.065 * * [simplify]: Extracting #6: cost 1 inf + 578 57.065 * * [simplify]: Extracting #7: cost 0 inf + 741 57.066 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2)) 57.066 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))) (pow k -1/2))) 57.066 * * * * [progress]: [ 18 / 118 ] simplifiying candidate # 57.066 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2) 57.066 * * [simplify]: iters left: 5 (6 enodes) 57.070 * * [simplify]: iters left: 4 (22 enodes) 57.077 * * [simplify]: iters left: 3 (27 enodes) 57.086 * * [simplify]: Extracting #0: cost 1 inf + 0 57.086 * * [simplify]: Extracting #1: cost 4 inf + 0 57.086 * * [simplify]: Extracting #2: cost 5 inf + 1 57.086 * * [simplify]: Extracting #3: cost 9 inf + 1 57.086 * * [simplify]: Extracting #4: cost 8 inf + 3 57.086 * * [simplify]: Extracting #5: cost 4 inf + 169 57.087 * * [simplify]: Extracting #6: cost 1 inf + 456 57.087 * * [simplify]: Extracting #7: cost 0 inf + 579 57.087 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 57.087 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)) (pow k -1/2))) 57.087 * * * * [progress]: [ 19 / 118 ] simplifiying candidate # 57.088 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 57.088 * * [simplify]: iters left: 4 (6 enodes) 57.092 * * [simplify]: iters left: 3 (25 enodes) 57.101 * * [simplify]: iters left: 2 (36 enodes) 57.113 * * [simplify]: iters left: 1 (40 enodes) 57.125 * * [simplify]: Extracting #0: cost 1 inf + 0 57.125 * * [simplify]: Extracting #1: cost 7 inf + 0 57.125 * * [simplify]: Extracting #2: cost 16 inf + 0 57.125 * * [simplify]: Extracting #3: cost 13 inf + 44 57.126 * * [simplify]: Extracting #4: cost 3 inf + 1103 57.126 * * [simplify]: Extracting #5: cost 0 inf + 1469 57.127 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 57.127 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (pow k -1/2))) 57.127 * * * * [progress]: [ 20 / 118 ] simplifiying candidate # 57.127 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 57.127 * * [simplify]: iters left: 4 (6 enodes) 57.131 * * [simplify]: iters left: 3 (25 enodes) 57.141 * * [simplify]: iters left: 2 (36 enodes) 57.153 * * [simplify]: iters left: 1 (40 enodes) 57.161 * * [simplify]: Extracting #0: cost 1 inf + 0 57.161 * * [simplify]: Extracting #1: cost 7 inf + 0 57.162 * * [simplify]: Extracting #2: cost 16 inf + 0 57.162 * * [simplify]: Extracting #3: cost 13 inf + 44 57.162 * * [simplify]: Extracting #4: cost 3 inf + 823 57.162 * * [simplify]: Extracting #5: cost 0 inf + 1069 57.162 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 57.162 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (pow k -1/2))) 57.162 * * * * [progress]: [ 21 / 118 ] simplifiying candidate # 57.163 * [simplify]: Simplifying (/ (- 1 k) 2) 57.163 * * [simplify]: iters left: 4 (5 enodes) 57.166 * * [simplify]: iters left: 3 (23 enodes) 57.171 * * [simplify]: iters left: 2 (32 enodes) 57.176 * * [simplify]: iters left: 1 (34 enodes) 57.181 * * [simplify]: Extracting #0: cost 1 inf + 0 57.181 * * [simplify]: Extracting #1: cost 7 inf + 0 57.181 * * [simplify]: Extracting #2: cost 11 inf + 2 57.181 * * [simplify]: Extracting #3: cost 10 inf + 4 57.182 * * [simplify]: Extracting #4: cost 4 inf + 337 57.182 * * [simplify]: Extracting #5: cost 0 inf + 584 57.182 * [simplify]: Simplified to (/ (- 1 k) 2) 57.182 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (pow k -1/2))) 57.182 * * * * [progress]: [ 22 / 118 ] simplifiying candidate # 57.182 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 57.182 * * [simplify]: iters left: 5 (8 enodes) 57.185 * * [simplify]: iters left: 4 (31 enodes) 57.195 * * [simplify]: iters left: 3 (45 enodes) 57.206 * * [simplify]: iters left: 2 (52 enodes) 57.214 * * [simplify]: iters left: 1 (53 enodes) 57.222 * * [simplify]: Extracting #0: cost 1 inf + 0 57.222 * * [simplify]: Extracting #1: cost 8 inf + 0 57.222 * * [simplify]: Extracting #2: cost 18 inf + 0 57.222 * * [simplify]: Extracting #3: cost 19 inf + 2 57.222 * * [simplify]: Extracting #4: cost 9 inf + 977 57.222 * * [simplify]: Extracting #5: cost 2 inf + 1790 57.223 * * [simplify]: Extracting #6: cost 0 inf + 2195 57.223 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 57.223 * [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))) (pow k -1/2))) 57.223 * * * * [progress]: [ 23 / 118 ] simplifiying candidate # 57.223 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 57.223 * * [simplify]: iters left: 5 (8 enodes) 57.226 * * [simplify]: iters left: 4 (31 enodes) 57.234 * * [simplify]: iters left: 3 (45 enodes) 57.248 * * [simplify]: iters left: 2 (52 enodes) 57.263 * * [simplify]: iters left: 1 (53 enodes) 57.277 * * [simplify]: Extracting #0: cost 1 inf + 0 57.277 * * [simplify]: Extracting #1: cost 8 inf + 0 57.277 * * [simplify]: Extracting #2: cost 18 inf + 0 57.277 * * [simplify]: Extracting #3: cost 19 inf + 2 57.278 * * [simplify]: Extracting #4: cost 9 inf + 697 57.278 * * [simplify]: Extracting #5: cost 2 inf + 1390 57.279 * * [simplify]: Extracting #6: cost 0 inf + 1715 57.280 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 57.280 * [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))) (pow k -1/2))) 57.280 * * * * [progress]: [ 24 / 118 ] simplifiying candidate # 57.280 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 57.280 * * [simplify]: iters left: 5 (7 enodes) 57.286 * * [simplify]: iters left: 4 (29 enodes) 57.291 * * [simplify]: iters left: 3 (43 enodes) 57.297 * * [simplify]: iters left: 2 (48 enodes) 57.304 * * [simplify]: Extracting #0: cost 1 inf + 0 57.304 * * [simplify]: Extracting #1: cost 7 inf + 0 57.304 * * [simplify]: Extracting #2: cost 11 inf + 2 57.304 * * [simplify]: Extracting #3: cost 13 inf + 3 57.304 * * [simplify]: Extracting #4: cost 11 inf + 45 57.305 * * [simplify]: Extracting #5: cost 0 inf + 1066 57.305 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 57.305 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (pow k -1/2))) 57.305 * * * * [progress]: [ 25 / 118 ] simplifiying candidate # 57.305 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 57.305 * * [simplify]: iters left: 5 (7 enodes) 57.308 * * [simplify]: iters left: 4 (28 enodes) 57.313 * * [simplify]: iters left: 3 (39 enodes) 57.321 * * [simplify]: iters left: 2 (43 enodes) 57.334 * * [simplify]: Extracting #0: cost 1 inf + 0 57.334 * * [simplify]: Extracting #1: cost 7 inf + 0 57.334 * * [simplify]: Extracting #2: cost 16 inf + 0 57.335 * * [simplify]: Extracting #3: cost 15 inf + 164 57.335 * * [simplify]: Extracting #4: cost 13 inf + 287 57.335 * * [simplify]: Extracting #5: cost 5 inf + 1180 57.336 * * [simplify]: Extracting #6: cost 0 inf + 1951 57.336 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 57.336 * [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))) (pow k -1/2))) 57.336 * * * * [progress]: [ 26 / 118 ] simplifiying candidate # 57.337 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 57.337 * * [simplify]: iters left: 5 (7 enodes) 57.341 * * [simplify]: iters left: 4 (28 enodes) 57.351 * * [simplify]: iters left: 3 (39 enodes) 57.364 * * [simplify]: iters left: 2 (43 enodes) 57.376 * * [simplify]: Extracting #0: cost 1 inf + 0 57.376 * * [simplify]: Extracting #1: cost 7 inf + 0 57.376 * * [simplify]: Extracting #2: cost 16 inf + 0 57.376 * * [simplify]: Extracting #3: cost 15 inf + 84 57.376 * * [simplify]: Extracting #4: cost 13 inf + 167 57.377 * * [simplify]: Extracting #5: cost 5 inf + 900 57.377 * * [simplify]: Extracting #6: cost 0 inf + 1551 57.378 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 57.378 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (pow k -1/2))) 57.378 * * * * [progress]: [ 27 / 118 ] simplifiying candidate # 57.378 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 57.378 * * [simplify]: iters left: 5 (6 enodes) 57.382 * * [simplify]: iters left: 4 (26 enodes) 57.388 * * [simplify]: iters left: 3 (35 enodes) 57.394 * * [simplify]: iters left: 2 (37 enodes) 57.402 * * [simplify]: iters left: 1 (41 enodes) 57.409 * * [simplify]: Extracting #0: cost 1 inf + 0 57.409 * * [simplify]: Extracting #1: cost 7 inf + 0 57.409 * * [simplify]: Extracting #2: cost 11 inf + 2 57.409 * * [simplify]: Extracting #3: cost 13 inf + 3 57.409 * * [simplify]: Extracting #4: cost 12 inf + 4 57.409 * * [simplify]: Extracting #5: cost 6 inf + 412 57.409 * * [simplify]: Extracting #6: cost 2 inf + 821 57.409 * * [simplify]: Extracting #7: cost 0 inf + 1066 57.410 * [simplify]: Simplified to (- 1/2 (/ (sqrt k) 2)) 57.410 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (- 1/2 (/ (sqrt k) 2))) (pow k -1/2))) 57.410 * * * * [progress]: [ 28 / 118 ] simplifiying candidate # 57.410 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 57.410 * * [simplify]: iters left: 4 (6 enodes) 57.412 * * [simplify]: iters left: 3 (25 enodes) 57.416 * * [simplify]: iters left: 2 (36 enodes) 57.427 * * [simplify]: iters left: 1 (40 enodes) 57.435 * * [simplify]: Extracting #0: cost 1 inf + 0 57.435 * * [simplify]: Extracting #1: cost 7 inf + 0 57.435 * * [simplify]: Extracting #2: cost 16 inf + 0 57.435 * * [simplify]: Extracting #3: cost 13 inf + 44 57.435 * * [simplify]: Extracting #4: cost 3 inf + 1103 57.435 * * [simplify]: Extracting #5: cost 0 inf + 1469 57.435 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 57.435 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (pow k -1/2))) 57.436 * * * * [progress]: [ 29 / 118 ] simplifiying candidate # 57.436 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 57.436 * * [simplify]: iters left: 4 (6 enodes) 57.438 * * [simplify]: iters left: 3 (25 enodes) 57.443 * * [simplify]: iters left: 2 (36 enodes) 57.449 * * [simplify]: iters left: 1 (40 enodes) 57.455 * * [simplify]: Extracting #0: cost 1 inf + 0 57.455 * * [simplify]: Extracting #1: cost 7 inf + 0 57.456 * * [simplify]: Extracting #2: cost 16 inf + 0 57.456 * * [simplify]: Extracting #3: cost 13 inf + 44 57.456 * * [simplify]: Extracting #4: cost 3 inf + 823 57.456 * * [simplify]: Extracting #5: cost 0 inf + 1069 57.457 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 57.457 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (pow k -1/2))) 57.457 * * * * [progress]: [ 30 / 118 ] simplifiying candidate # 57.457 * [simplify]: Simplifying (/ (- 1 k) 2) 57.457 * * [simplify]: iters left: 4 (5 enodes) 57.460 * * [simplify]: iters left: 3 (23 enodes) 57.464 * * [simplify]: iters left: 2 (32 enodes) 57.474 * * [simplify]: iters left: 1 (34 enodes) 57.485 * * [simplify]: Extracting #0: cost 1 inf + 0 57.485 * * [simplify]: Extracting #1: cost 7 inf + 0 57.486 * * [simplify]: Extracting #2: cost 11 inf + 2 57.486 * * [simplify]: Extracting #3: cost 10 inf + 4 57.486 * * [simplify]: Extracting #4: cost 4 inf + 337 57.486 * * [simplify]: Extracting #5: cost 0 inf + 584 57.487 * [simplify]: Simplified to (/ (- 1 k) 2) 57.487 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (pow k -1/2))) 57.487 * * * * [progress]: [ 31 / 118 ] simplifiying candidate # 57.487 * [simplify]: Simplifying (/ (- 1 k) 2) 57.487 * * [simplify]: iters left: 4 (5 enodes) 57.491 * * [simplify]: iters left: 3 (23 enodes) 57.496 * * [simplify]: iters left: 2 (32 enodes) 57.501 * * [simplify]: iters left: 1 (34 enodes) 57.509 * * [simplify]: Extracting #0: cost 1 inf + 0 57.509 * * [simplify]: Extracting #1: cost 7 inf + 0 57.509 * * [simplify]: Extracting #2: cost 11 inf + 2 57.509 * * [simplify]: Extracting #3: cost 10 inf + 4 57.509 * * [simplify]: Extracting #4: cost 4 inf + 337 57.509 * * [simplify]: Extracting #5: cost 0 inf + 584 57.509 * [simplify]: Simplified to (/ (- 1 k) 2) 57.509 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (pow k -1/2))) 57.509 * * * * [progress]: [ 32 / 118 ] simplifiying candidate # 57.510 * [simplify]: Simplifying (/ 1 2) 57.510 * * [simplify]: iters left: 2 (3 enodes) 57.511 * * [simplify]: iters left: 1 (12 enodes) 57.514 * * [simplify]: Extracting #0: cost 1 inf + 0 57.514 * * [simplify]: Extracting #1: cost 0 inf + 1 57.514 * [simplify]: Simplified to 1/2 57.514 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (- 1 k)) 1/2) (pow k -1/2))) 57.514 * * * * [progress]: [ 33 / 118 ] simplifiying candidate # 57.514 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 57.514 * * [simplify]: iters left: 5 (7 enodes) 57.517 * * [simplify]: iters left: 4 (32 enodes) 57.523 * * [simplify]: iters left: 3 (57 enodes) 57.541 * * [simplify]: iters left: 2 (90 enodes) 57.573 * * [simplify]: iters left: 1 (170 enodes) 57.623 * * [simplify]: Extracting #0: cost 1 inf + 0 57.623 * * [simplify]: Extracting #1: cost 13 inf + 0 57.623 * * [simplify]: Extracting #2: cost 54 inf + 2 57.624 * * [simplify]: Extracting #3: cost 89 inf + 6 57.625 * * [simplify]: Extracting #4: cost 78 inf + 1344 57.628 * * [simplify]: Extracting #5: cost 20 inf + 14664 57.635 * * [simplify]: Extracting #6: cost 1 inf + 22045 57.643 * * [simplify]: Extracting #7: cost 0 inf + 21300 57.650 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 57.650 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow k -1/2))) 57.650 * * * * [progress]: [ 34 / 118 ] simplifiying candidate # 57.650 * * * * [progress]: [ 35 / 118 ] simplifiying candidate # 57.650 * * * * [progress]: [ 36 / 118 ] simplifiying candidate # 57.650 * * * * [progress]: [ 37 / 118 ] simplifiying candidate # 57.650 * * * * [progress]: [ 38 / 118 ] simplifiying candidate # 57.650 * * * * [progress]: [ 39 / 118 ] simplifiying candidate # 57.650 * * * * [progress]: [ 40 / 118 ] simplifiying candidate # 57.650 * * * * [progress]: [ 41 / 118 ] simplifiying candidate # 57.650 * * * * [progress]: [ 42 / 118 ] simplifiying candidate #real (real->posit16 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (pow k -1/2)))> 57.651 * * * * [progress]: [ 43 / 118 ] simplifiying candidate # 57.651 * * * * [progress]: [ 44 / 118 ] simplifiying candidate # 57.651 * * * * [progress]: [ 45 / 118 ] simplifiying candidate # 57.651 * [simplify]: Simplifying (* n (* 2 PI)) 57.651 * * [simplify]: iters left: 4 (5 enodes) 57.652 * * [simplify]: iters left: 3 (19 enodes) 57.656 * * [simplify]: iters left: 2 (27 enodes) 57.660 * * [simplify]: iters left: 1 (32 enodes) 57.665 * * [simplify]: Extracting #0: cost 1 inf + 0 57.665 * * [simplify]: Extracting #1: cost 8 inf + 0 57.665 * * [simplify]: Extracting #2: cost 7 inf + 45 57.665 * * [simplify]: Extracting #3: cost 0 inf + 421 57.665 * [simplify]: Simplified to (* (* PI 2) n) 57.665 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (pow k -1/2))) 57.665 * * * * [progress]: [ 46 / 118 ] simplifiying candidate # 57.666 * [simplify]: Simplifying (* n (* 2 PI)) 57.666 * * [simplify]: iters left: 4 (5 enodes) 57.667 * * [simplify]: iters left: 3 (19 enodes) 57.672 * * [simplify]: iters left: 2 (27 enodes) 57.681 * * [simplify]: iters left: 1 (32 enodes) 57.689 * * [simplify]: Extracting #0: cost 1 inf + 0 57.689 * * [simplify]: Extracting #1: cost 8 inf + 0 57.690 * * [simplify]: Extracting #2: cost 7 inf + 45 57.690 * * [simplify]: Extracting #3: cost 0 inf + 421 57.690 * [simplify]: Simplified to (* (* PI 2) n) 57.690 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (pow k -1/2))) 57.690 * * * * [progress]: [ 47 / 118 ] simplifiying candidate # 57.690 * * * * [progress]: [ 48 / 118 ] simplifiying candidate # 57.691 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI))) 57.691 * * [simplify]: iters left: 5 (8 enodes) 57.695 * * [simplify]: iters left: 4 (28 enodes) 57.704 * * [simplify]: iters left: 3 (36 enodes) 57.714 * * [simplify]: iters left: 2 (42 enodes) 57.726 * * [simplify]: Extracting #0: cost 1 inf + 0 57.726 * * [simplify]: Extracting #1: cost 8 inf + 0 57.726 * * [simplify]: Extracting #2: cost 17 inf + 0 57.726 * * [simplify]: Extracting #3: cost 12 inf + 145 57.726 * * [simplify]: Extracting #4: cost 5 inf + 1197 57.727 * * [simplify]: Extracting #5: cost 1 inf + 1925 57.728 * * [simplify]: Extracting #6: cost 0 inf + 2107 57.728 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI))) 57.728 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (- 1 k) 2)) (pow k -1/2))) 57.729 * * * * [progress]: [ 49 / 118 ] simplifiying candidate # 57.729 * [simplify]: Simplifying (+ (log n) (log (* 2 PI))) 57.729 * * [simplify]: iters left: 5 (7 enodes) 57.733 * * [simplify]: iters left: 4 (26 enodes) 57.741 * * [simplify]: iters left: 3 (35 enodes) 57.752 * * [simplify]: iters left: 2 (44 enodes) 57.767 * * [simplify]: Extracting #0: cost 1 inf + 0 57.767 * * [simplify]: Extracting #1: cost 8 inf + 0 57.767 * * [simplify]: Extracting #2: cost 18 inf + 0 57.767 * * [simplify]: Extracting #3: cost 15 inf + 74 57.767 * * [simplify]: Extracting #4: cost 8 inf + 554 57.768 * * [simplify]: Extracting #5: cost 0 inf + 1911 57.768 * [simplify]: Simplified to (+ (log n) (log (* 2 PI))) 57.768 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (exp (+ (log n) (log (* 2 PI)))) (/ (- 1 k) 2)) (pow k -1/2))) 57.768 * * * * [progress]: [ 50 / 118 ] simplifiying candidate # 57.769 * * * * [progress]: [ 51 / 118 ] simplifiying candidate # 57.769 * * * * [progress]: [ 52 / 118 ] simplifiying candidate # 57.769 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI))) 57.769 * * [simplify]: iters left: 6 (11 enodes) 57.778 * * [simplify]: iters left: 5 (48 enodes) 57.791 * * [simplify]: iters left: 4 (121 enodes) 57.822 * * [simplify]: iters left: 3 (348 enodes) 58.055 * * [simplify]: Extracting #0: cost 1 inf + 0 58.055 * * [simplify]: Extracting #1: cost 67 inf + 0 58.057 * * [simplify]: Extracting #2: cost 165 inf + 786 58.063 * * [simplify]: Extracting #3: cost 81 inf + 10746 58.075 * * [simplify]: Extracting #4: cost 9 inf + 26018 58.089 * * [simplify]: Extracting #5: cost 0 inf + 28546 58.102 * * [simplify]: Extracting #6: cost 0 inf + 28506 58.115 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI)) 58.115 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (cbrt (* (* (* (* n PI) (* n PI)) 8) (* n PI))) (/ (- 1 k) 2)) (pow k -1/2))) 58.115 * * * * [progress]: [ 53 / 118 ] simplifiying candidate # 58.115 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI))) 58.115 * * [simplify]: iters left: 6 (9 enodes) 58.125 * * [simplify]: iters left: 5 (45 enodes) 58.140 * * [simplify]: iters left: 4 (117 enodes) 58.174 * * [simplify]: iters left: 3 (377 enodes) 58.486 * * [simplify]: Extracting #0: cost 1 inf + 0 58.486 * * [simplify]: Extracting #1: cost 79 inf + 0 58.487 * * [simplify]: Extracting #2: cost 191 inf + 659 58.491 * * [simplify]: Extracting #3: cost 100 inf + 13238 58.504 * * [simplify]: Extracting #4: cost 6 inf + 31685 58.513 * * [simplify]: Extracting #5: cost 0 inf + 32539 58.524 * [simplify]: Simplified to (* (* 2 (* PI n)) (* (* 2 (* PI n)) (* 2 (* PI n)))) 58.524 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (cbrt (* (* 2 (* PI n)) (* (* 2 (* PI n)) (* 2 (* PI n))))) (/ (- 1 k) 2)) (pow k -1/2))) 58.524 * * * * [progress]: [ 54 / 118 ] simplifiying candidate # 58.524 * * * * [progress]: [ 55 / 118 ] simplifiying candidate # 58.524 * * * * [progress]: [ 56 / 118 ] simplifiying candidate # 58.524 * * * * [progress]: [ 57 / 118 ] simplifiying candidate # 58.524 * * * * [progress]: [ 58 / 118 ] simplifiying candidate # 58.524 * * * * [progress]: [ 59 / 118 ] simplifiying candidate # 58.525 * [simplify]: Simplifying (* (cbrt n) (cbrt n)) 58.525 * * [simplify]: iters left: 3 (3 enodes) 58.526 * * [simplify]: iters left: 2 (9 enodes) 58.529 * * [simplify]: Extracting #0: cost 1 inf + 0 58.529 * * [simplify]: Extracting #1: cost 3 inf + 0 58.529 * * [simplify]: Extracting #2: cost 5 inf + 0 58.529 * * [simplify]: Extracting #3: cost 4 inf + 1 58.529 * * [simplify]: Extracting #4: cost 0 inf + 405 58.529 * [simplify]: Simplified to (* (cbrt n) (cbrt n)) 58.529 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (- 1 k) 2)) (pow k -1/2))) 58.529 * * * * [progress]: [ 60 / 118 ] simplifiying candidate # 58.529 * [simplify]: Simplifying (sqrt n) 58.529 * * [simplify]: iters left: 1 (2 enodes) 58.530 * * [simplify]: Extracting #0: cost 1 inf + 0 58.530 * * [simplify]: Extracting #1: cost 3 inf + 0 58.530 * * [simplify]: Extracting #2: cost 2 inf + 1 58.530 * * [simplify]: Extracting #3: cost 0 inf + 83 58.531 * [simplify]: Simplified to (sqrt n) 58.531 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (- 1 k) 2)) (pow k -1/2))) 58.531 * * * * [progress]: [ 61 / 118 ] simplifiying candidate # 58.531 * * * * [progress]: [ 62 / 118 ] simplifiying candidate #real (real->posit16 (* n (* 2 PI)))) (/ (- 1 k) 2)) (pow k -1/2)))> 58.531 * * * * [progress]: [ 63 / 118 ] simplifiying candidate # 58.531 * * * * [progress]: [ 64 / 118 ] simplifiying candidate # 58.531 * * * * [progress]: [ 65 / 118 ] simplifiying candidate # 58.531 * * * * [progress]: [ 66 / 118 ] simplifiying candidate # 58.531 * * * * [progress]: [ 67 / 118 ] simplifiying candidate # 58.532 * [simplify]: Simplifying (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (* (log k) -1/2)) 58.532 * * [simplify]: iters left: 6 (17 enodes) 58.537 * * [simplify]: iters left: 5 (69 enodes) 58.550 * * [simplify]: iters left: 4 (115 enodes) 58.587 * * [simplify]: iters left: 3 (298 enodes) 58.763 * * [simplify]: Extracting #0: cost 1 inf + 0 58.764 * * [simplify]: Extracting #1: cost 28 inf + 0 58.764 * * [simplify]: Extracting #2: cost 109 inf + 1 58.766 * * [simplify]: Extracting #3: cost 149 inf + 737 58.770 * * [simplify]: Extracting #4: cost 115 inf + 12184 58.785 * * [simplify]: Extracting #5: cost 9 inf + 42615 58.794 * * [simplify]: Extracting #6: cost 0 inf + 45960 58.804 * * [simplify]: Extracting #7: cost 0 inf + 45958 58.814 * [simplify]: Simplified to (fma -1/2 (log k) (/ (- (+ (log PI) (+ (log n) (log 2))) (* k (+ (log PI) (+ (log n) (log 2))))) 2)) 58.814 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma -1/2 (log k) (/ (- (+ (log PI) (+ (log n) (log 2))) (* k (+ (log PI) (+ (log n) (log 2))))) 2)))) 58.814 * * * * [progress]: [ 68 / 118 ] simplifiying candidate # 58.814 * [simplify]: Simplifying (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (* (log k) -1/2)) 58.814 * * [simplify]: iters left: 6 (17 enodes) 58.822 * * [simplify]: iters left: 5 (69 enodes) 58.838 * * [simplify]: iters left: 4 (115 enodes) 58.864 * * [simplify]: iters left: 3 (298 enodes) 58.984 * * [simplify]: Extracting #0: cost 1 inf + 0 58.984 * * [simplify]: Extracting #1: cost 28 inf + 0 58.984 * * [simplify]: Extracting #2: cost 109 inf + 1 58.986 * * [simplify]: Extracting #3: cost 149 inf + 737 58.994 * * [simplify]: Extracting #4: cost 115 inf + 12184 59.002 * * [simplify]: Extracting #5: cost 9 inf + 42615 59.011 * * [simplify]: Extracting #6: cost 0 inf + 45960 59.021 * * [simplify]: Extracting #7: cost 0 inf + 45958 59.030 * [simplify]: Simplified to (fma -1/2 (log k) (/ (- (+ (log PI) (+ (log n) (log 2))) (* k (+ (log PI) (+ (log n) (log 2))))) 2)) 59.030 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma -1/2 (log k) (/ (- (+ (log PI) (+ (log n) (log 2))) (* k (+ (log PI) (+ (log n) (log 2))))) 2)))) 59.030 * * * * [progress]: [ 69 / 118 ] simplifiying candidate # 59.031 * [simplify]: Simplifying (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (log (pow k -1/2))) 59.031 * * [simplify]: iters left: 6 (17 enodes) 59.036 * * [simplify]: iters left: 5 (74 enodes) 59.064 * * [simplify]: iters left: 4 (136 enodes) 59.129 * * [simplify]: iters left: 3 (360 enodes) 59.314 * * [simplify]: Extracting #0: cost 1 inf + 0 59.314 * * [simplify]: Extracting #1: cost 34 inf + 0 59.315 * * [simplify]: Extracting #2: cost 141 inf + 2 59.316 * * [simplify]: Extracting #3: cost 188 inf + 669 59.320 * * [simplify]: Extracting #4: cost 170 inf + 11428 59.333 * * [simplify]: Extracting #5: cost 18 inf + 56705 59.348 * * [simplify]: Extracting #6: cost 1 inf + 60740 59.372 * * [simplify]: Extracting #7: cost 0 inf + 60782 59.395 * [simplify]: Simplified to (fma (log k) -1/2 (/ (- (+ (log PI) (+ (log n) (log 2))) (* k (+ (log PI) (+ (log n) (log 2))))) 2)) 59.395 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log k) -1/2 (/ (- (+ (log PI) (+ (log n) (log 2))) (* k (+ (log PI) (+ (log n) (log 2))))) 2)))) 59.395 * * * * [progress]: [ 70 / 118 ] simplifiying candidate # 59.396 * [simplify]: Simplifying (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (* (log k) -1/2)) 59.396 * * [simplify]: iters left: 6 (16 enodes) 59.406 * * [simplify]: iters left: 5 (67 enodes) 59.427 * * [simplify]: iters left: 4 (108 enodes) 59.448 * * [simplify]: iters left: 3 (242 enodes) 59.545 * * [simplify]: Extracting #0: cost 1 inf + 0 59.545 * * [simplify]: Extracting #1: cost 25 inf + 0 59.545 * * [simplify]: Extracting #2: cost 99 inf + 1 59.545 * * [simplify]: Extracting #3: cost 143 inf + 190 59.547 * * [simplify]: Extracting #4: cost 116 inf + 9239 59.552 * * [simplify]: Extracting #5: cost 32 inf + 29666 59.559 * * [simplify]: Extracting #6: cost 13 inf + 35018 59.573 * * [simplify]: Extracting #7: cost 0 inf + 38513 59.581 * * [simplify]: Extracting #8: cost 0 inf + 38433 59.590 * [simplify]: Simplified to (fma -1/2 (log k) (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2)) 59.590 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma -1/2 (log k) (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2)))) 59.590 * * * * [progress]: [ 71 / 118 ] simplifiying candidate # 59.590 * [simplify]: Simplifying (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (* (log k) -1/2)) 59.590 * * [simplify]: iters left: 6 (16 enodes) 59.595 * * [simplify]: iters left: 5 (67 enodes) 59.607 * * [simplify]: iters left: 4 (108 enodes) 59.644 * * [simplify]: iters left: 3 (242 enodes) 59.725 * * [simplify]: Extracting #0: cost 1 inf + 0 59.725 * * [simplify]: Extracting #1: cost 25 inf + 0 59.726 * * [simplify]: Extracting #2: cost 99 inf + 1 59.726 * * [simplify]: Extracting #3: cost 143 inf + 190 59.728 * * [simplify]: Extracting #4: cost 116 inf + 9239 59.737 * * [simplify]: Extracting #5: cost 32 inf + 29666 59.750 * * [simplify]: Extracting #6: cost 13 inf + 35018 59.766 * * [simplify]: Extracting #7: cost 0 inf + 38513 59.777 * * [simplify]: Extracting #8: cost 0 inf + 38433 59.785 * [simplify]: Simplified to (fma -1/2 (log k) (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2)) 59.785 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma -1/2 (log k) (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2)))) 59.785 * * * * [progress]: [ 72 / 118 ] simplifiying candidate # 59.785 * [simplify]: Simplifying (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (log (pow k -1/2))) 59.785 * * [simplify]: iters left: 6 (16 enodes) 59.792 * * [simplify]: iters left: 5 (72 enodes) 59.806 * * [simplify]: iters left: 4 (129 enodes) 59.844 * * [simplify]: iters left: 3 (303 enodes) 59.955 * * [simplify]: Extracting #0: cost 1 inf + 0 59.955 * * [simplify]: Extracting #1: cost 27 inf + 0 59.956 * * [simplify]: Extracting #2: cost 115 inf + 2 59.956 * * [simplify]: Extracting #3: cost 166 inf + 569 59.959 * * [simplify]: Extracting #4: cost 155 inf + 7950 59.969 * * [simplify]: Extracting #5: cost 60 inf + 31864 59.981 * * [simplify]: Extracting #6: cost 13 inf + 44516 59.990 * * [simplify]: Extracting #7: cost 0 inf + 48679 60.006 * * [simplify]: Extracting #8: cost 0 inf + 48599 60.016 * [simplify]: Simplified to (fma -1/2 (log k) (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2)) 60.016 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma -1/2 (log k) (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2)))) 60.016 * * * * [progress]: [ 73 / 118 ] simplifiying candidate # 60.016 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (* (log k) -1/2)) 60.016 * * [simplify]: iters left: 6 (15 enodes) 60.021 * * [simplify]: iters left: 5 (66 enodes) 60.035 * * [simplify]: iters left: 4 (115 enodes) 60.058 * * [simplify]: iters left: 3 (229 enodes) 60.130 * * [simplify]: Extracting #0: cost 1 inf + 0 60.130 * * [simplify]: Extracting #1: cost 21 inf + 0 60.130 * * [simplify]: Extracting #2: cost 98 inf + 1 60.130 * * [simplify]: Extracting #3: cost 137 inf + 469 60.132 * * [simplify]: Extracting #4: cost 117 inf + 7457 60.136 * * [simplify]: Extracting #5: cost 24 inf + 27566 60.146 * * [simplify]: Extracting #6: cost 1 inf + 33399 60.161 * * [simplify]: Extracting #7: cost 0 inf + 33739 60.179 * [simplify]: Simplified to (fma -1/2 (log k) (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) 60.179 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma -1/2 (log k) (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)))) 60.179 * * * * [progress]: [ 74 / 118 ] simplifiying candidate # 60.180 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (* (log k) -1/2)) 60.180 * * [simplify]: iters left: 6 (15 enodes) 60.185 * * [simplify]: iters left: 5 (66 enodes) 60.196 * * [simplify]: iters left: 4 (115 enodes) 60.223 * * [simplify]: iters left: 3 (229 enodes) 60.313 * * [simplify]: Extracting #0: cost 1 inf + 0 60.313 * * [simplify]: Extracting #1: cost 21 inf + 0 60.314 * * [simplify]: Extracting #2: cost 98 inf + 1 60.314 * * [simplify]: Extracting #3: cost 137 inf + 469 60.316 * * [simplify]: Extracting #4: cost 117 inf + 7457 60.321 * * [simplify]: Extracting #5: cost 24 inf + 27566 60.327 * * [simplify]: Extracting #6: cost 1 inf + 33399 60.334 * * [simplify]: Extracting #7: cost 0 inf + 33739 60.346 * [simplify]: Simplified to (fma -1/2 (log k) (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) 60.346 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma -1/2 (log k) (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)))) 60.346 * * * * [progress]: [ 75 / 118 ] simplifiying candidate # 60.346 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (pow k -1/2))) 60.347 * * [simplify]: iters left: 6 (15 enodes) 60.356 * * [simplify]: iters left: 5 (71 enodes) 60.378 * * [simplify]: iters left: 4 (136 enodes) 60.410 * * [simplify]: iters left: 3 (290 enodes) 60.531 * * [simplify]: Extracting #0: cost 1 inf + 0 60.531 * * [simplify]: Extracting #1: cost 23 inf + 0 60.532 * * [simplify]: Extracting #2: cost 111 inf + 2 60.532 * * [simplify]: Extracting #3: cost 163 inf + 316 60.534 * * [simplify]: Extracting #4: cost 141 inf + 8920 60.538 * * [simplify]: Extracting #5: cost 74 inf + 22853 60.544 * * [simplify]: Extracting #6: cost 13 inf + 37518 60.556 * * [simplify]: Extracting #7: cost 0 inf + 42390 60.573 * [simplify]: Simplified to (fma (log k) -1/2 (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) 60.573 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log k) -1/2 (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)))) 60.573 * * * * [progress]: [ 76 / 118 ] simplifiying candidate # 60.573 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (* (log k) -1/2)) 60.574 * * [simplify]: iters left: 6 (15 enodes) 60.587 * * [simplify]: iters left: 5 (66 enodes) 60.600 * * [simplify]: iters left: 4 (115 enodes) 60.628 * * [simplify]: iters left: 3 (229 enodes) 60.722 * * [simplify]: Extracting #0: cost 1 inf + 0 60.722 * * [simplify]: Extracting #1: cost 21 inf + 0 60.722 * * [simplify]: Extracting #2: cost 98 inf + 1 60.724 * * [simplify]: Extracting #3: cost 137 inf + 469 60.726 * * [simplify]: Extracting #4: cost 117 inf + 7457 60.736 * * [simplify]: Extracting #5: cost 24 inf + 27566 60.750 * * [simplify]: Extracting #6: cost 1 inf + 33399 60.765 * * [simplify]: Extracting #7: cost 0 inf + 33739 60.779 * [simplify]: Simplified to (fma -1/2 (log k) (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) 60.779 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma -1/2 (log k) (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)))) 60.780 * * * * [progress]: [ 77 / 118 ] simplifiying candidate # 60.780 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (* (log k) -1/2)) 60.780 * * [simplify]: iters left: 6 (15 enodes) 60.789 * * [simplify]: iters left: 5 (66 enodes) 60.802 * * [simplify]: iters left: 4 (115 enodes) 60.831 * * [simplify]: iters left: 3 (229 enodes) 60.921 * * [simplify]: Extracting #0: cost 1 inf + 0 60.921 * * [simplify]: Extracting #1: cost 21 inf + 0 60.922 * * [simplify]: Extracting #2: cost 98 inf + 1 60.923 * * [simplify]: Extracting #3: cost 137 inf + 469 60.926 * * [simplify]: Extracting #4: cost 117 inf + 7457 60.934 * * [simplify]: Extracting #5: cost 24 inf + 27566 60.946 * * [simplify]: Extracting #6: cost 1 inf + 33399 60.962 * * [simplify]: Extracting #7: cost 0 inf + 33739 60.976 * [simplify]: Simplified to (fma -1/2 (log k) (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) 60.976 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma -1/2 (log k) (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)))) 60.976 * * * * [progress]: [ 78 / 118 ] simplifiying candidate # 60.976 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (pow k -1/2))) 60.976 * * [simplify]: iters left: 6 (15 enodes) 60.985 * * [simplify]: iters left: 5 (71 enodes) 61.011 * * [simplify]: iters left: 4 (136 enodes) 61.068 * * [simplify]: iters left: 3 (290 enodes) 61.192 * * [simplify]: Extracting #0: cost 1 inf + 0 61.192 * * [simplify]: Extracting #1: cost 23 inf + 0 61.192 * * [simplify]: Extracting #2: cost 111 inf + 2 61.193 * * [simplify]: Extracting #3: cost 163 inf + 316 61.196 * * [simplify]: Extracting #4: cost 141 inf + 8920 61.204 * * [simplify]: Extracting #5: cost 74 inf + 22853 61.218 * * [simplify]: Extracting #6: cost 13 inf + 37518 61.227 * * [simplify]: Extracting #7: cost 0 inf + 42390 61.235 * [simplify]: Simplified to (fma (log k) -1/2 (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) 61.235 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log k) -1/2 (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)))) 61.236 * * * * [progress]: [ 79 / 118 ] simplifiying candidate # 61.236 * [simplify]: Simplifying (+ (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (log k) -1/2)) 61.236 * * [simplify]: iters left: 6 (15 enodes) 61.240 * * [simplify]: iters left: 5 (64 enodes) 61.252 * * [simplify]: iters left: 4 (114 enodes) 61.279 * * [simplify]: iters left: 3 (221 enodes) 61.346 * * [simplify]: Extracting #0: cost 1 inf + 0 61.346 * * [simplify]: Extracting #1: cost 20 inf + 0 61.347 * * [simplify]: Extracting #2: cost 120 inf + 1 61.348 * * [simplify]: Extracting #3: cost 183 inf + 77 61.350 * * [simplify]: Extracting #4: cost 145 inf + 8559 61.362 * * [simplify]: Extracting #5: cost 36 inf + 30929 61.378 * * [simplify]: Extracting #6: cost 0 inf + 41780 61.392 * [simplify]: Simplified to (fma -1/2 (log k) (* (log (* (* PI 2) n)) (/ (- 1 k) 2))) 61.392 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma -1/2 (log k) (* (log (* (* PI 2) n)) (/ (- 1 k) 2))))) 61.392 * * * * [progress]: [ 80 / 118 ] simplifiying candidate # 61.392 * [simplify]: Simplifying (+ (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (log k) -1/2)) 61.392 * * [simplify]: iters left: 6 (15 enodes) 61.401 * * [simplify]: iters left: 5 (64 enodes) 61.424 * * [simplify]: iters left: 4 (114 enodes) 61.463 * * [simplify]: iters left: 3 (221 enodes) 61.519 * * [simplify]: Extracting #0: cost 1 inf + 0 61.519 * * [simplify]: Extracting #1: cost 20 inf + 0 61.520 * * [simplify]: Extracting #2: cost 120 inf + 1 61.520 * * [simplify]: Extracting #3: cost 183 inf + 77 61.522 * * [simplify]: Extracting #4: cost 145 inf + 8559 61.528 * * [simplify]: Extracting #5: cost 36 inf + 30929 61.540 * * [simplify]: Extracting #6: cost 0 inf + 41780 61.547 * [simplify]: Simplified to (fma -1/2 (log k) (* (log (* (* PI 2) n)) (/ (- 1 k) 2))) 61.547 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma -1/2 (log k) (* (log (* (* PI 2) n)) (/ (- 1 k) 2))))) 61.547 * * * * [progress]: [ 81 / 118 ] simplifiying candidate # 61.547 * [simplify]: Simplifying (+ (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (log (pow k -1/2))) 61.547 * * [simplify]: iters left: 6 (15 enodes) 61.552 * * [simplify]: iters left: 5 (69 enodes) 61.566 * * [simplify]: iters left: 4 (135 enodes) 61.603 * * [simplify]: iters left: 3 (277 enodes) 61.687 * * [simplify]: Extracting #0: cost 1 inf + 0 61.687 * * [simplify]: Extracting #1: cost 25 inf + 0 61.688 * * [simplify]: Extracting #2: cost 145 inf + 2 61.689 * * [simplify]: Extracting #3: cost 214 inf + 345 61.693 * * [simplify]: Extracting #4: cost 148 inf + 14721 61.706 * * [simplify]: Extracting #5: cost 37 inf + 44544 61.723 * * [simplify]: Extracting #6: cost 2 inf + 53070 61.740 * * [simplify]: Extracting #7: cost 0 inf + 53387 61.755 * [simplify]: Simplified to (fma -1/2 (log k) (/ (* (log (* (* PI 2) n)) (- 1 k)) 2)) 61.755 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma -1/2 (log k) (/ (* (log (* (* PI 2) n)) (- 1 k)) 2)))) 61.756 * * * * [progress]: [ 82 / 118 ] simplifiying candidate # 61.756 * * * * [progress]: [ 83 / 118 ] simplifiying candidate # 61.756 * * * * [progress]: [ 84 / 118 ] simplifiying candidate # 61.756 * [simplify]: Simplifying (* (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (* (pow k -1/2) (pow k -1/2)) (pow k -1/2))) 61.756 * * [simplify]: iters left: 6 (17 enodes) 61.767 * * [simplify]: iters left: 5 (82 enodes) 61.806 * * [simplify]: iters left: 4 (191 enodes) 61.914 * * [simplify]: Extracting #0: cost 1 inf + 0 61.914 * * [simplify]: Extracting #1: cost 37 inf + 0 61.915 * * [simplify]: Extracting #2: cost 149 inf + 1 61.916 * * [simplify]: Extracting #3: cost 165 inf + 1227 61.917 * * [simplify]: Extracting #4: cost 144 inf + 7368 61.919 * * [simplify]: Extracting #5: cost 95 inf + 22558 61.932 * * [simplify]: Extracting #6: cost 16 inf + 75962 61.954 * * [simplify]: Extracting #7: cost 0 inf + 89142 61.965 * [simplify]: Simplified to (* (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (* (* (pow k -1/2) (pow k -1/2)) (pow k -1/2))) 61.965 * [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)))) (* (* (pow k -1/2) (pow k -1/2)) (pow k -1/2))))) 61.965 * * * * [progress]: [ 85 / 118 ] simplifiying candidate # 61.965 * * * * [progress]: [ 86 / 118 ] simplifiying candidate # 61.965 * * * * [progress]: [ 87 / 118 ] simplifiying candidate # 61.965 * * * * [progress]: [ 88 / 118 ] simplifiying candidate # 61.965 * * * * [progress]: [ 89 / 118 ] simplifiying candidate # 61.965 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (sqrt k) -1/2)) 61.966 * * [simplify]: iters left: 6 (15 enodes) 61.971 * * [simplify]: iters left: 5 (65 enodes) 61.984 * * [simplify]: iters left: 4 (115 enodes) 62.016 * * [simplify]: iters left: 3 (198 enodes) 62.085 * * [simplify]: iters left: 2 (365 enodes) 62.235 * * [simplify]: Extracting #0: cost 1 inf + 0 62.235 * * [simplify]: Extracting #1: cost 27 inf + 0 62.236 * * [simplify]: Extracting #2: cost 87 inf + 0 62.236 * * [simplify]: Extracting #3: cost 100 inf + 7 62.237 * * [simplify]: Extracting #4: cost 152 inf + 10 62.240 * * [simplify]: Extracting #5: cost 152 inf + 7104 62.246 * * [simplify]: Extracting #6: cost 85 inf + 28738 62.263 * * [simplify]: Extracting #7: cost 14 inf + 69338 62.283 * * [simplify]: Extracting #8: cost 0 inf + 80609 62.307 * [simplify]: Simplified to (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (pow (sqrt k) -1/2)) 62.307 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (pow (sqrt k) -1/2)) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (sqrt k) -1/2)))) 62.308 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (sqrt k) -1/2)) 62.308 * * [simplify]: iters left: 6 (15 enodes) 62.317 * * [simplify]: iters left: 5 (65 enodes) 62.343 * * [simplify]: iters left: 4 (115 enodes) 62.366 * * [simplify]: iters left: 3 (198 enodes) 62.427 * * [simplify]: iters left: 2 (365 enodes) 62.583 * * [simplify]: Extracting #0: cost 1 inf + 0 62.583 * * [simplify]: Extracting #1: cost 27 inf + 0 62.583 * * [simplify]: Extracting #2: cost 87 inf + 0 62.584 * * [simplify]: Extracting #3: cost 100 inf + 7 62.584 * * [simplify]: Extracting #4: cost 152 inf + 10 62.585 * * [simplify]: Extracting #5: cost 152 inf + 7104 62.588 * * [simplify]: Extracting #6: cost 85 inf + 28738 62.596 * * [simplify]: Extracting #7: cost 14 inf + 69338 62.606 * * [simplify]: Extracting #8: cost 0 inf + 80609 62.615 * [simplify]: Simplified to (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (pow (sqrt k) -1/2)) 62.615 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (sqrt k) -1/2)) (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (pow (sqrt k) -1/2)))) 62.616 * * * * [progress]: [ 90 / 118 ] simplifiying candidate # 62.616 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (pow k -1/2))) 62.616 * * [simplify]: iters left: 6 (15 enodes) 62.620 * * [simplify]: iters left: 5 (65 enodes) 62.634 * * [simplify]: iters left: 4 (112 enodes) 62.663 * * [simplify]: iters left: 3 (184 enodes) 62.728 * * [simplify]: iters left: 2 (322 enodes) 62.821 * * [simplify]: Extracting #0: cost 1 inf + 0 62.822 * * [simplify]: Extracting #1: cost 4 inf + 0 62.822 * * [simplify]: Extracting #2: cost 10 inf + 0 62.822 * * [simplify]: Extracting #3: cost 41 inf + 0 62.822 * * [simplify]: Extracting #4: cost 118 inf + 4 62.823 * * [simplify]: Extracting #5: cost 120 inf + 3460 62.825 * * [simplify]: Extracting #6: cost 44 inf + 25049 62.830 * * [simplify]: Extracting #7: cost 4 inf + 41704 62.835 * * [simplify]: Extracting #8: cost 0 inf + 43509 62.844 * * [simplify]: Extracting #9: cost 0 inf + 43348 62.854 * [simplify]: Simplified to (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (pow k -1/2))) 62.854 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (pow k -1/2))) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (pow k -1/2))))) 62.855 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (pow k -1/2))) 62.855 * * [simplify]: iters left: 6 (15 enodes) 62.864 * * [simplify]: iters left: 5 (65 enodes) 62.887 * * [simplify]: iters left: 4 (112 enodes) 62.911 * * [simplify]: iters left: 3 (184 enodes) 62.960 * * [simplify]: iters left: 2 (322 enodes) 63.053 * * [simplify]: Extracting #0: cost 1 inf + 0 63.053 * * [simplify]: Extracting #1: cost 4 inf + 0 63.053 * * [simplify]: Extracting #2: cost 10 inf + 0 63.054 * * [simplify]: Extracting #3: cost 41 inf + 0 63.054 * * [simplify]: Extracting #4: cost 118 inf + 4 63.056 * * [simplify]: Extracting #5: cost 120 inf + 3460 63.061 * * [simplify]: Extracting #6: cost 44 inf + 25049 63.070 * * [simplify]: Extracting #7: cost 4 inf + 41704 63.081 * * [simplify]: Extracting #8: cost 0 inf + 43509 63.092 * * [simplify]: Extracting #9: cost 0 inf + 43348 63.102 * [simplify]: Simplified to (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (pow k -1/2))) 63.102 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (pow k -1/2))) (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (pow k -1/2))))) 63.102 * * * * [progress]: [ 91 / 118 ] simplifiying candidate # 63.103 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow k (/ -1/2 2))) 63.107 * * [simplify]: iters left: 6 (15 enodes) 63.117 * * [simplify]: iters left: 5 (66 enodes) 63.143 * * [simplify]: iters left: 4 (121 enodes) 63.189 * * [simplify]: iters left: 3 (219 enodes) 63.234 * * [simplify]: iters left: 2 (386 enodes) 63.363 * * [simplify]: Extracting #0: cost 1 inf + 0 63.363 * * [simplify]: Extracting #1: cost 30 inf + 0 63.364 * * [simplify]: Extracting #2: cost 85 inf + 0 63.364 * * [simplify]: Extracting #3: cost 94 inf + 220 63.366 * * [simplify]: Extracting #4: cost 138 inf + 4512 63.368 * * [simplify]: Extracting #5: cost 140 inf + 12409 63.374 * * [simplify]: Extracting #6: cost 83 inf + 28661 63.388 * * [simplify]: Extracting #7: cost 13 inf + 69499 63.407 * * [simplify]: Extracting #8: cost 0 inf + 79561 63.425 * * [simplify]: Extracting #9: cost 0 inf + 78826 63.444 * [simplify]: Simplified to (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (pow k -1/4)) 63.444 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (pow k -1/4)) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow k (/ -1/2 2))))) 63.445 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow k (/ -1/2 2))) 63.445 * * [simplify]: iters left: 6 (15 enodes) 63.457 * * [simplify]: iters left: 5 (66 enodes) 63.484 * * [simplify]: iters left: 4 (121 enodes) 63.509 * * [simplify]: iters left: 3 (219 enodes) 63.548 * * [simplify]: iters left: 2 (386 enodes) 63.688 * * [simplify]: Extracting #0: cost 1 inf + 0 63.689 * * [simplify]: Extracting #1: cost 30 inf + 0 63.689 * * [simplify]: Extracting #2: cost 85 inf + 0 63.690 * * [simplify]: Extracting #3: cost 94 inf + 220 63.691 * * [simplify]: Extracting #4: cost 138 inf + 4512 63.693 * * [simplify]: Extracting #5: cost 140 inf + 12409 63.699 * * [simplify]: Extracting #6: cost 83 inf + 28661 63.707 * * [simplify]: Extracting #7: cost 13 inf + 69499 63.716 * * [simplify]: Extracting #8: cost 0 inf + 79561 63.725 * * [simplify]: Extracting #9: cost 0 inf + 78826 63.734 * [simplify]: Simplified to (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (pow k -1/4)) 63.734 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow k (/ -1/2 2))) (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (pow k -1/4)))) 63.734 * * * * [progress]: [ 92 / 118 ] simplifiying candidate # 63.735 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (sqrt k) -1/2)) 63.735 * * [simplify]: iters left: 6 (15 enodes) 63.740 * * [simplify]: iters left: 5 (68 enodes) 63.757 * * [simplify]: iters left: 4 (128 enodes) 63.813 * * [simplify]: iters left: 3 (258 enodes) 63.903 * * [simplify]: Extracting #0: cost 1 inf + 0 63.903 * * [simplify]: Extracting #1: cost 25 inf + 0 63.904 * * [simplify]: Extracting #2: cost 105 inf + 0 63.904 * * [simplify]: Extracting #3: cost 146 inf + 4 63.905 * * [simplify]: Extracting #4: cost 150 inf + 349 63.906 * * [simplify]: Extracting #5: cost 97 inf + 11720 63.917 * * [simplify]: Extracting #6: cost 11 inf + 62671 63.934 * * [simplify]: Extracting #7: cost 0 inf + 69737 63.950 * * [simplify]: Extracting #8: cost 0 inf + 69697 63.966 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow (sqrt k) -1/2)) 63.966 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow (sqrt k) -1/2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (sqrt k) -1/2)))) 63.966 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (sqrt k) -1/2)) 63.967 * * [simplify]: iters left: 6 (15 enodes) 63.972 * * [simplify]: iters left: 5 (68 enodes) 63.986 * * [simplify]: iters left: 4 (128 enodes) 64.041 * * [simplify]: iters left: 3 (258 enodes) 64.134 * * [simplify]: Extracting #0: cost 1 inf + 0 64.135 * * [simplify]: Extracting #1: cost 25 inf + 0 64.135 * * [simplify]: Extracting #2: cost 105 inf + 0 64.136 * * [simplify]: Extracting #3: cost 146 inf + 4 64.137 * * [simplify]: Extracting #4: cost 150 inf + 349 64.140 * * [simplify]: Extracting #5: cost 97 inf + 11720 64.153 * * [simplify]: Extracting #6: cost 11 inf + 62671 64.170 * * [simplify]: Extracting #7: cost 0 inf + 69737 64.187 * * [simplify]: Extracting #8: cost 0 inf + 69697 64.203 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow (sqrt k) -1/2)) 64.203 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (sqrt k) -1/2)) (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow (sqrt k) -1/2)))) 64.203 * * * * [progress]: [ 93 / 118 ] simplifiying candidate # 64.204 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (pow k -1/2))) 64.204 * * [simplify]: iters left: 6 (15 enodes) 64.210 * * [simplify]: iters left: 5 (68 enodes) 64.223 * * [simplify]: iters left: 4 (121 enodes) 64.262 * * [simplify]: iters left: 3 (221 enodes) 64.317 * * [simplify]: iters left: 2 (430 enodes) 64.492 * * [simplify]: Extracting #0: cost 1 inf + 0 64.492 * * [simplify]: Extracting #1: cost 30 inf + 0 64.493 * * [simplify]: Extracting #2: cost 100 inf + 0 64.493 * * [simplify]: Extracting #3: cost 167 inf + 2 64.495 * * [simplify]: Extracting #4: cost 191 inf + 475 64.498 * * [simplify]: Extracting #5: cost 149 inf + 5209 64.505 * * [simplify]: Extracting #6: cost 78 inf + 28426 64.515 * * [simplify]: Extracting #7: cost 11 inf + 79130 64.526 * * [simplify]: Extracting #8: cost 0 inf + 88675 64.536 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (pow k -1/2))) 64.536 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (pow k -1/2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (pow k -1/2))))) 64.537 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (pow k -1/2))) 64.537 * * [simplify]: iters left: 6 (15 enodes) 64.546 * * [simplify]: iters left: 5 (68 enodes) 64.571 * * [simplify]: iters left: 4 (121 enodes) 64.619 * * [simplify]: iters left: 3 (221 enodes) 64.670 * * [simplify]: iters left: 2 (430 enodes) 64.838 * * [simplify]: Extracting #0: cost 1 inf + 0 64.838 * * [simplify]: Extracting #1: cost 30 inf + 0 64.839 * * [simplify]: Extracting #2: cost 100 inf + 0 64.840 * * [simplify]: Extracting #3: cost 167 inf + 2 64.841 * * [simplify]: Extracting #4: cost 191 inf + 475 64.845 * * [simplify]: Extracting #5: cost 149 inf + 5209 64.852 * * [simplify]: Extracting #6: cost 78 inf + 28426 64.871 * * [simplify]: Extracting #7: cost 11 inf + 79130 64.882 * * [simplify]: Extracting #8: cost 0 inf + 88675 64.893 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (pow k -1/2))) 64.893 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (pow k -1/2))) (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (pow k -1/2))))) 64.893 * * * * [progress]: [ 94 / 118 ] simplifiying candidate # 64.894 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k (/ -1/2 2))) 64.894 * * [simplify]: iters left: 6 (15 enodes) 64.900 * * [simplify]: iters left: 5 (69 enodes) 64.926 * * [simplify]: iters left: 4 (134 enodes) 64.979 * * [simplify]: iters left: 3 (272 enodes) 65.076 * * [simplify]: Extracting #0: cost 1 inf + 0 65.076 * * [simplify]: Extracting #1: cost 32 inf + 0 65.076 * * [simplify]: Extracting #2: cost 111 inf + 0 65.077 * * [simplify]: Extracting #3: cost 143 inf + 218 65.079 * * [simplify]: Extracting #4: cost 132 inf + 3766 65.086 * * [simplify]: Extracting #5: cost 38 inf + 46373 65.101 * * [simplify]: Extracting #6: cost 1 inf + 67129 65.117 * * [simplify]: Extracting #7: cost 0 inf + 67118 65.134 * * [simplify]: Extracting #8: cost 0 inf + 67038 65.150 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow k -1/4)) 65.150 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow k -1/4)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k (/ -1/2 2))))) 65.151 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k (/ -1/2 2))) 65.151 * * [simplify]: iters left: 6 (15 enodes) 65.161 * * [simplify]: iters left: 5 (69 enodes) 65.194 * * [simplify]: iters left: 4 (134 enodes) 65.241 * * [simplify]: iters left: 3 (272 enodes) 65.328 * * [simplify]: Extracting #0: cost 1 inf + 0 65.328 * * [simplify]: Extracting #1: cost 32 inf + 0 65.328 * * [simplify]: Extracting #2: cost 111 inf + 0 65.329 * * [simplify]: Extracting #3: cost 143 inf + 218 65.331 * * [simplify]: Extracting #4: cost 132 inf + 3766 65.339 * * [simplify]: Extracting #5: cost 38 inf + 46373 65.355 * * [simplify]: Extracting #6: cost 1 inf + 67129 65.371 * * [simplify]: Extracting #7: cost 0 inf + 67118 65.382 * * [simplify]: Extracting #8: cost 0 inf + 67038 65.390 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow k -1/4)) 65.390 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k (/ -1/2 2))) (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow k -1/4)))) 65.390 * * * * [progress]: [ 95 / 118 ] simplifiying candidate # 65.390 * [simplify]: Simplifying (pow (cbrt k) -1/2) 65.390 * * [simplify]: iters left: 2 (4 enodes) 65.392 * * [simplify]: iters left: 1 (17 enodes) 65.399 * * [simplify]: Extracting #0: cost 1 inf + 0 65.399 * * [simplify]: Extracting #1: cost 5 inf + 0 65.399 * * [simplify]: Extracting #2: cost 9 inf + 1 65.399 * * [simplify]: Extracting #3: cost 8 inf + 3 65.399 * * [simplify]: Extracting #4: cost 1 inf + 1334 65.399 * * [simplify]: Extracting #5: cost 0 inf + 1626 65.399 * [simplify]: Simplified to (pow (cbrt k) -1/2) 65.400 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* (cbrt k) (cbrt k)) -1/2)) (pow (cbrt k) -1/2))) 65.400 * * * * [progress]: [ 96 / 118 ] simplifiying candidate # 65.400 * [simplify]: Simplifying (pow (sqrt k) -1/2) 65.400 * * [simplify]: iters left: 2 (4 enodes) 65.403 * * [simplify]: iters left: 1 (17 enodes) 65.410 * * [simplify]: Extracting #0: cost 1 inf + 0 65.410 * * [simplify]: Extracting #1: cost 5 inf + 0 65.410 * * [simplify]: Extracting #2: cost 9 inf + 1 65.410 * * [simplify]: Extracting #3: cost 8 inf + 3 65.410 * * [simplify]: Extracting #4: cost 1 inf + 1094 65.410 * * [simplify]: Extracting #5: cost 0 inf + 1346 65.410 * [simplify]: Simplified to (pow (sqrt k) -1/2) 65.410 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (sqrt k) -1/2)) (pow (sqrt k) -1/2))) 65.410 * * * * [progress]: [ 97 / 118 ] simplifiying candidate # 65.410 * [simplify]: Simplifying (pow k -1/2) 65.411 * * [simplify]: iters left: 1 (3 enodes) 65.415 * * [simplify]: Extracting #0: cost 1 inf + 0 65.415 * * [simplify]: Extracting #1: cost 5 inf + 0 65.415 * * [simplify]: Extracting #2: cost 4 inf + 2 65.415 * * [simplify]: Extracting #3: cost 1 inf + 427 65.415 * * [simplify]: Extracting #4: cost 0 inf + 639 65.415 * [simplify]: Simplified to (pow k -1/2) 65.416 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow 1 -1/2)) (pow k -1/2))) 65.416 * * * * [progress]: [ 98 / 118 ] simplifiying candidate # 65.416 * [simplify]: Simplifying (cbrt (pow k -1/2)) 65.416 * * [simplify]: iters left: 2 (4 enodes) 65.417 * * [simplify]: iters left: 1 (17 enodes) 65.421 * * [simplify]: Extracting #0: cost 1 inf + 0 65.422 * * [simplify]: Extracting #1: cost 3 inf + 0 65.422 * * [simplify]: Extracting #2: cost 7 inf + 0 65.422 * * [simplify]: Extracting #3: cost 8 inf + 2 65.422 * * [simplify]: Extracting #4: cost 3 inf + 1223 65.422 * * [simplify]: Extracting #5: cost 1 inf + 1436 65.422 * * [simplify]: Extracting #6: cost 0 inf + 1648 65.422 * [simplify]: Simplified to (cbrt (pow k -1/2)) 65.422 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (cbrt (pow k -1/2)) (cbrt (pow k -1/2)))) (cbrt (pow k -1/2)))) 65.422 * * * * [progress]: [ 99 / 118 ] simplifiying candidate # 65.422 * [simplify]: Simplifying (sqrt (pow k -1/2)) 65.422 * * [simplify]: iters left: 2 (4 enodes) 65.424 * * [simplify]: iters left: 1 (17 enodes) 65.428 * * [simplify]: Extracting #0: cost 1 inf + 0 65.428 * * [simplify]: Extracting #1: cost 4 inf + 0 65.428 * * [simplify]: Extracting #2: cost 10 inf + 0 65.428 * * [simplify]: Extracting #3: cost 8 inf + 3 65.428 * * [simplify]: Extracting #4: cost 1 inf + 1356 65.428 * * [simplify]: Extracting #5: cost 0 inf + 1568 65.428 * [simplify]: Simplified to (sqrt (pow k -1/2)) 65.428 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (pow k -1/2))) (sqrt (pow k -1/2)))) 65.429 * * * * [progress]: [ 100 / 118 ] simplifiying candidate # 65.429 * [simplify]: Simplifying (pow k -1/2) 65.429 * * [simplify]: iters left: 1 (3 enodes) 65.430 * * [simplify]: Extracting #0: cost 1 inf + 0 65.430 * * [simplify]: Extracting #1: cost 5 inf + 0 65.430 * * [simplify]: Extracting #2: cost 4 inf + 2 65.430 * * [simplify]: Extracting #3: cost 1 inf + 427 65.430 * * [simplify]: Extracting #4: cost 0 inf + 639 65.430 * [simplify]: Simplified to (pow k -1/2) 65.430 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) (pow k -1/2))) 65.430 * * * * [progress]: [ 101 / 118 ] simplifiying candidate # 65.430 * [simplify]: Simplifying (pow k (/ -1/2 2)) 65.430 * * [simplify]: iters left: 3 (5 enodes) 65.433 * * [simplify]: iters left: 2 (20 enodes) 65.438 * * [simplify]: iters left: 1 (37 enodes) 65.455 * * [simplify]: Extracting #0: cost 1 inf + 0 65.455 * * [simplify]: Extracting #1: cost 9 inf + 0 65.455 * * [simplify]: Extracting #2: cost 12 inf + 2 65.455 * * [simplify]: Extracting #3: cost 7 inf + 852 65.455 * * [simplify]: Extracting #4: cost 0 inf + 2667 65.456 * [simplify]: Simplified to (pow k -1/4) 65.456 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k (/ -1/2 2))) (pow k -1/4))) 65.456 * * * * [progress]: [ 102 / 118 ] simplifiying candidate # 65.456 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 65.456 * * [simplify]: iters left: 5 (7 enodes) 65.460 * * [simplify]: iters left: 4 (32 enodes) 65.467 * * [simplify]: iters left: 3 (57 enodes) 65.477 * * [simplify]: iters left: 2 (90 enodes) 65.498 * * [simplify]: iters left: 1 (170 enodes) 65.550 * * [simplify]: Extracting #0: cost 1 inf + 0 65.550 * * [simplify]: Extracting #1: cost 13 inf + 0 65.551 * * [simplify]: Extracting #2: cost 54 inf + 2 65.551 * * [simplify]: Extracting #3: cost 89 inf + 6 65.552 * * [simplify]: Extracting #4: cost 78 inf + 1344 65.556 * * [simplify]: Extracting #5: cost 20 inf + 14664 65.562 * * [simplify]: Extracting #6: cost 1 inf + 22045 65.570 * * [simplify]: Extracting #7: cost 0 inf + 21300 65.578 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 65.578 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow k -1/2)))) 65.578 * * * * [progress]: [ 103 / 118 ] simplifiying candidate # 65.578 * [simplify]: Simplifying (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 65.579 * * [simplify]: iters left: 6 (12 enodes) 65.585 * * [simplify]: iters left: 5 (51 enodes) 65.605 * * [simplify]: iters left: 4 (84 enodes) 65.633 * * [simplify]: iters left: 3 (127 enodes) 65.682 * * [simplify]: iters left: 2 (212 enodes) 65.752 * * [simplify]: iters left: 1 (389 enodes) 65.907 * * [simplify]: Extracting #0: cost 1 inf + 0 65.908 * * [simplify]: Extracting #1: cost 3 inf + 0 65.908 * * [simplify]: Extracting #2: cost 5 inf + 0 65.908 * * [simplify]: Extracting #3: cost 34 inf + 0 65.908 * * [simplify]: Extracting #4: cost 117 inf + 1 65.909 * * [simplify]: Extracting #5: cost 168 inf + 176 65.911 * * [simplify]: Extracting #6: cost 165 inf + 767 65.915 * * [simplify]: Extracting #7: cost 98 inf + 11266 65.926 * * [simplify]: Extracting #8: cost 10 inf + 59756 65.936 * * [simplify]: Extracting #9: cost 0 inf + 68459 65.960 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 65.960 * [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))) (pow k -1/2)))) 65.960 * * * * [progress]: [ 104 / 118 ] simplifiying candidate # 65.960 * [simplify]: Simplifying (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 65.961 * * [simplify]: iters left: 6 (11 enodes) 65.968 * * [simplify]: iters left: 5 (48 enodes) 65.980 * * [simplify]: iters left: 4 (78 enodes) 65.993 * * [simplify]: iters left: 3 (122 enodes) 66.032 * * [simplify]: iters left: 2 (223 enodes) 66.103 * * [simplify]: iters left: 1 (410 enodes) 66.305 * * [simplify]: Extracting #0: cost 1 inf + 0 66.305 * * [simplify]: Extracting #1: cost 4 inf + 0 66.305 * * [simplify]: Extracting #2: cost 36 inf + 0 66.305 * * [simplify]: Extracting #3: cost 131 inf + 1 66.306 * * [simplify]: Extracting #4: cost 175 inf + 220 66.307 * * [simplify]: Extracting #5: cost 160 inf + 1914 66.310 * * [simplify]: Extracting #6: cost 84 inf + 11925 66.316 * * [simplify]: Extracting #7: cost 27 inf + 40490 66.327 * * [simplify]: Extracting #8: cost 0 inf + 68673 66.345 * * [simplify]: Extracting #9: cost 0 inf + 68313 66.367 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 66.367 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow k -1/2)))) 66.367 * * * * [progress]: [ 105 / 118 ] simplifiying candidate # 66.367 * * * * [progress]: [ 106 / 118 ] simplifiying candidate # 66.367 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 66.368 * * [simplify]: iters left: 6 (11 enodes) 66.374 * * [simplify]: iters left: 5 (51 enodes) 66.393 * * [simplify]: iters left: 4 (87 enodes) 66.427 * * [simplify]: iters left: 3 (146 enodes) 66.480 * * [simplify]: iters left: 2 (263 enodes) 66.587 * * [simplify]: iters left: 1 (487 enodes) 66.822 * * [simplify]: Extracting #0: cost 1 inf + 0 66.823 * * [simplify]: Extracting #1: cost 26 inf + 0 66.823 * * [simplify]: Extracting #2: cost 109 inf + 1 66.825 * * [simplify]: Extracting #3: cost 197 inf + 178 66.827 * * [simplify]: Extracting #4: cost 191 inf + 1310 66.834 * * [simplify]: Extracting #5: cost 96 inf + 14316 66.848 * * [simplify]: Extracting #6: cost 32 inf + 39237 66.875 * * [simplify]: Extracting #7: cost 0 inf + 65358 66.897 * * [simplify]: Extracting #8: cost 0 inf + 64077 66.920 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/4 (- 1 k))) 66.920 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2)))) 66.920 * * * * [progress]: [ 107 / 118 ] simplifiying candidate # 66.920 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ 1 2)) (pow k -1/2)) 66.920 * * [simplify]: iters left: 6 (12 enodes) 66.929 * * [simplify]: iters left: 5 (52 enodes) 66.952 * * [simplify]: iters left: 4 (104 enodes) 66.981 * * [simplify]: iters left: 3 (223 enodes) 67.051 * * [simplify]: Extracting #0: cost 1 inf + 0 67.051 * * [simplify]: Extracting #1: cost 31 inf + 0 67.051 * * [simplify]: Extracting #2: cost 109 inf + 0 67.052 * * [simplify]: Extracting #3: cost 108 inf + 10 67.052 * * [simplify]: Extracting #4: cost 90 inf + 3894 67.055 * * [simplify]: Extracting #5: cost 40 inf + 27466 67.059 * * [simplify]: Extracting #6: cost 0 inf + 54412 67.064 * [simplify]: Simplified to (* (sqrt (* (* PI 2) n)) (pow k -1/2)) 67.064 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (sqrt (* (* PI 2) n)) (pow k -1/2)) (pow (* n (* 2 PI)) (/ k 2)))) 67.064 * * * * [progress]: [ 108 / 118 ] simplifiying candidate #real (real->posit16 (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2)))))> 67.064 * * * * [progress]: [ 109 / 118 ] simplifiying candidate # 67.064 * * * * [progress]: [ 110 / 118 ] simplifiying candidate # 67.065 * [simplify]: Simplifying (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))))) 67.065 * * [simplify]: iters left: 6 (37 enodes) 67.087 * * [simplify]: iters left: 5 (190 enodes) 67.171 * * [simplify]: Extracting #0: cost 1 inf + 0 67.171 * * [simplify]: Extracting #1: cost 22 inf + 0 67.171 * * [simplify]: Extracting #2: cost 108 inf + 1 67.172 * * [simplify]: Extracting #3: cost 171 inf + 46 67.172 * * [simplify]: Extracting #4: cost 189 inf + 427 67.174 * * [simplify]: Extracting #5: cost 128 inf + 16032 67.183 * * [simplify]: Extracting #6: cost 29 inf + 57153 67.197 * * [simplify]: Extracting #7: cost 4 inf + 75884 67.229 * * [simplify]: Extracting #8: cost 0 inf + 78767 67.263 * [simplify]: Simplified to (fma (* (log (* PI 2)) 1/4) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k k) (log n))) (- (fma (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k (log n)) (* k (log n)))) 1/8 (fma (* (* 1/8 (log (* PI 2))) (log (* PI 2))) (* (* k k) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (exp (* (+ (log n) (log (* PI 2))) 1/2)))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) 1/2))) 67.263 * [simplify]: Simplified (2 1) to (λ (k n) (* (fma (* (log (* PI 2)) 1/4) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k k) (log n))) (- (fma (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k (log n)) (* k (log n)))) 1/8 (fma (* (* 1/8 (log (* PI 2))) (log (* PI 2))) (* (* k k) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (exp (* (+ (log n) (log (* PI 2))) 1/2)))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) 1/2))) (pow k -1/2))) 67.264 * * * * [progress]: [ 111 / 118 ] simplifiying candidate # 67.264 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 67.264 * * [simplify]: iters left: 6 (15 enodes) 67.275 * * [simplify]: iters left: 5 (65 enodes) 67.298 * * [simplify]: iters left: 4 (123 enodes) 67.353 * * [simplify]: iters left: 3 (368 enodes) 67.549 * * [simplify]: Extracting #0: cost 1 inf + 0 67.549 * * [simplify]: Extracting #1: cost 37 inf + 0 67.550 * * [simplify]: Extracting #2: cost 216 inf + 72 67.551 * * [simplify]: Extracting #3: cost 359 inf + 1294 67.555 * * [simplify]: Extracting #4: cost 227 inf + 27604 67.586 * * [simplify]: Extracting #5: cost 34 inf + 80469 67.617 * * [simplify]: Extracting #6: cost 0 inf + 90323 67.650 * * [simplify]: Extracting #7: cost 0 inf + 90139 67.682 * * [simplify]: Extracting #8: cost 0 inf + 90138 67.715 * [simplify]: Simplified to (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) 67.715 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) (pow k -1/2))) 67.715 * * * * [progress]: [ 112 / 118 ] simplifiying candidate # 67.715 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 67.715 * * [simplify]: iters left: 6 (16 enodes) 67.727 * * [simplify]: iters left: 5 (67 enodes) 67.751 * * [simplify]: iters left: 4 (134 enodes) 67.794 * * [simplify]: iters left: 3 (413 enodes) 68.038 * * [simplify]: Extracting #0: cost 1 inf + 0 68.039 * * [simplify]: Extracting #1: cost 39 inf + 0 68.040 * * [simplify]: Extracting #2: cost 241 inf + 72 68.043 * * [simplify]: Extracting #3: cost 450 inf + 903 68.049 * * [simplify]: Extracting #4: cost 376 inf + 10375 68.069 * * [simplify]: Extracting #5: cost 157 inf + 67388 68.111 * * [simplify]: Extracting #6: cost 12 inf + 118840 68.154 * * [simplify]: Extracting #7: cost 0 inf + 121984 68.177 * * [simplify]: Extracting #8: cost 0 inf + 121983 68.222 * [simplify]: Simplified to (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) 68.222 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) (pow k -1/2))) 68.222 * * * * [progress]: [ 113 / 118 ] simplifiying candidate # 68.222 * [simplify]: Simplifying (* 2 (* n PI)) 68.222 * * [simplify]: iters left: 4 (5 enodes) 68.225 * * [simplify]: iters left: 3 (19 enodes) 68.232 * * [simplify]: iters left: 2 (27 enodes) 68.240 * * [simplify]: iters left: 1 (32 enodes) 68.248 * * [simplify]: Extracting #0: cost 1 inf + 0 68.248 * * [simplify]: Extracting #1: cost 8 inf + 0 68.248 * * [simplify]: Extracting #2: cost 7 inf + 45 68.249 * * [simplify]: Extracting #3: cost 0 inf + 421 68.249 * [simplify]: Simplified to (* (* PI n) 2) 68.249 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI n) 2) (/ (- 1 k) 2)) (pow k -1/2))) 68.249 * * * * [progress]: [ 114 / 118 ] simplifiying candidate # 68.249 * [simplify]: Simplifying (* 2 (* n PI)) 68.249 * * [simplify]: iters left: 4 (5 enodes) 68.253 * * [simplify]: iters left: 3 (19 enodes) 68.258 * * [simplify]: iters left: 2 (27 enodes) 68.263 * * [simplify]: iters left: 1 (32 enodes) 68.267 * * [simplify]: Extracting #0: cost 1 inf + 0 68.267 * * [simplify]: Extracting #1: cost 8 inf + 0 68.267 * * [simplify]: Extracting #2: cost 7 inf + 45 68.268 * * [simplify]: Extracting #3: cost 0 inf + 421 68.268 * [simplify]: Simplified to (* (* PI n) 2) 68.268 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI n) 2) (/ (- 1 k) 2)) (pow k -1/2))) 68.268 * * * * [progress]: [ 115 / 118 ] simplifiying candidate # 68.268 * [simplify]: Simplifying (* 2 (* n PI)) 68.268 * * [simplify]: iters left: 4 (5 enodes) 68.270 * * [simplify]: iters left: 3 (19 enodes) 68.275 * * [simplify]: iters left: 2 (27 enodes) 68.279 * * [simplify]: iters left: 1 (32 enodes) 68.284 * * [simplify]: Extracting #0: cost 1 inf + 0 68.284 * * [simplify]: Extracting #1: cost 8 inf + 0 68.284 * * [simplify]: Extracting #2: cost 7 inf + 45 68.284 * * [simplify]: Extracting #3: cost 0 inf + 421 68.284 * [simplify]: Simplified to (* (* PI n) 2) 68.284 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI n) 2) (/ (- 1 k) 2)) (pow k -1/2))) 68.284 * * * * [progress]: [ 116 / 118 ] simplifiying candidate # 68.284 * [simplify]: Simplifying (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))))))))))))))))))) 68.284 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 68.285 * * * * [progress]: [ 117 / 118 ] simplifiying candidate # 68.285 * [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)))))))) 68.285 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 68.285 * * * * [progress]: [ 118 / 118 ] simplifiying candidate # 68.285 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k))))))) 68.285 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 68.286 * * * [progress]: adding candidates to table 69.516 * * [progress]: iteration 4 / 4 69.516 * * * [progress]: picking best candidate 69.547 * * * * [pick]: Picked # 69.547 * * * [progress]: localizing error 69.581 * * * [progress]: generating rewritten candidates 69.581 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 69.600 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 69.612 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 69.637 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 69.680 * * * [progress]: generating series expansions 69.680 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 69.681 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) 69.681 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0 69.681 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 69.681 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 69.681 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 69.681 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 69.681 * [taylor]: Taking taylor expansion of 1/2 in k 69.681 * [backup-simplify]: Simplify 1/2 into 1/2 69.681 * [taylor]: Taking taylor expansion of (- 1 k) in k 69.681 * [taylor]: Taking taylor expansion of 1 in k 69.682 * [backup-simplify]: Simplify 1 into 1 69.682 * [taylor]: Taking taylor expansion of k in k 69.682 * [backup-simplify]: Simplify 0 into 0 69.682 * [backup-simplify]: Simplify 1 into 1 69.682 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 69.682 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 69.682 * [taylor]: Taking taylor expansion of 2 in k 69.682 * [backup-simplify]: Simplify 2 into 2 69.682 * [taylor]: Taking taylor expansion of (* n PI) in k 69.682 * [taylor]: Taking taylor expansion of n in k 69.682 * [backup-simplify]: Simplify n into n 69.682 * [taylor]: Taking taylor expansion of PI in k 69.682 * [backup-simplify]: Simplify PI into PI 69.682 * [backup-simplify]: Simplify (* n PI) into (* n PI) 69.682 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 69.682 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 69.683 * [backup-simplify]: Simplify (- 0) into 0 69.683 * [backup-simplify]: Simplify (+ 1 0) into 1 69.684 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 69.684 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 69.684 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 69.684 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 69.684 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 69.684 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 69.684 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 69.684 * [taylor]: Taking taylor expansion of 1/2 in n 69.684 * [backup-simplify]: Simplify 1/2 into 1/2 69.684 * [taylor]: Taking taylor expansion of (- 1 k) in n 69.684 * [taylor]: Taking taylor expansion of 1 in n 69.684 * [backup-simplify]: Simplify 1 into 1 69.684 * [taylor]: Taking taylor expansion of k in n 69.684 * [backup-simplify]: Simplify k into k 69.684 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 69.684 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 69.684 * [taylor]: Taking taylor expansion of 2 in n 69.684 * [backup-simplify]: Simplify 2 into 2 69.684 * [taylor]: Taking taylor expansion of (* n PI) in n 69.684 * [taylor]: Taking taylor expansion of n in n 69.684 * [backup-simplify]: Simplify 0 into 0 69.684 * [backup-simplify]: Simplify 1 into 1 69.684 * [taylor]: Taking taylor expansion of PI in n 69.684 * [backup-simplify]: Simplify PI into PI 69.685 * [backup-simplify]: Simplify (* 0 PI) into 0 69.685 * [backup-simplify]: Simplify (* 2 0) into 0 69.687 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 69.688 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 69.689 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 69.690 * [backup-simplify]: Simplify (- k) into (- k) 69.690 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 69.690 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 69.691 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 69.692 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 69.693 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 69.693 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 69.693 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 69.693 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 69.693 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 69.693 * [taylor]: Taking taylor expansion of 1/2 in n 69.694 * [backup-simplify]: Simplify 1/2 into 1/2 69.694 * [taylor]: Taking taylor expansion of (- 1 k) in n 69.694 * [taylor]: Taking taylor expansion of 1 in n 69.694 * [backup-simplify]: Simplify 1 into 1 69.694 * [taylor]: Taking taylor expansion of k in n 69.694 * [backup-simplify]: Simplify k into k 69.694 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 69.694 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 69.694 * [taylor]: Taking taylor expansion of 2 in n 69.694 * [backup-simplify]: Simplify 2 into 2 69.694 * [taylor]: Taking taylor expansion of (* n PI) in n 69.694 * [taylor]: Taking taylor expansion of n in n 69.694 * [backup-simplify]: Simplify 0 into 0 69.694 * [backup-simplify]: Simplify 1 into 1 69.694 * [taylor]: Taking taylor expansion of PI in n 69.694 * [backup-simplify]: Simplify PI into PI 69.694 * [backup-simplify]: Simplify (* 0 PI) into 0 69.695 * [backup-simplify]: Simplify (* 2 0) into 0 69.696 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 69.698 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 69.699 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 69.699 * [backup-simplify]: Simplify (- k) into (- k) 69.699 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 69.699 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 69.700 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 69.702 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 69.703 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 69.703 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 69.703 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 69.703 * [taylor]: Taking taylor expansion of 1/2 in k 69.703 * [backup-simplify]: Simplify 1/2 into 1/2 69.703 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 69.703 * [taylor]: Taking taylor expansion of (- 1 k) in k 69.703 * [taylor]: Taking taylor expansion of 1 in k 69.703 * [backup-simplify]: Simplify 1 into 1 69.703 * [taylor]: Taking taylor expansion of k in k 69.703 * [backup-simplify]: Simplify 0 into 0 69.703 * [backup-simplify]: Simplify 1 into 1 69.703 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 69.703 * [taylor]: Taking taylor expansion of (log n) in k 69.703 * [taylor]: Taking taylor expansion of n in k 69.703 * [backup-simplify]: Simplify n into n 69.703 * [backup-simplify]: Simplify (log n) into (log n) 69.703 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 69.703 * [taylor]: Taking taylor expansion of (* 2 PI) in k 69.703 * [taylor]: Taking taylor expansion of 2 in k 69.703 * [backup-simplify]: Simplify 2 into 2 69.703 * [taylor]: Taking taylor expansion of PI in k 69.703 * [backup-simplify]: Simplify PI into PI 69.704 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 69.705 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 69.705 * [backup-simplify]: Simplify (- 0) into 0 69.706 * [backup-simplify]: Simplify (+ 1 0) into 1 69.707 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 69.708 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 69.709 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 69.710 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 69.711 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 69.712 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 69.713 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 69.715 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 69.715 * [backup-simplify]: Simplify (- 0) into 0 69.716 * [backup-simplify]: Simplify (+ 0 0) into 0 69.716 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 69.718 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 69.719 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 69.721 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 69.721 * [taylor]: Taking taylor expansion of 0 in k 69.721 * [backup-simplify]: Simplify 0 into 0 69.721 * [backup-simplify]: Simplify 0 into 0 69.722 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 69.723 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 69.725 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 69.725 * [backup-simplify]: Simplify (+ 0 0) into 0 69.726 * [backup-simplify]: Simplify (- 1) into -1 69.726 * [backup-simplify]: Simplify (+ 0 -1) into -1 69.727 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 69.729 * [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))))) 69.733 * [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))))))) 69.736 * [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))))))) 69.737 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 69.738 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 69.741 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 69.742 * [backup-simplify]: Simplify (- 0) into 0 69.742 * [backup-simplify]: Simplify (+ 0 0) into 0 69.743 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 69.745 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 69.746 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 69.749 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 69.749 * [taylor]: Taking taylor expansion of 0 in k 69.749 * [backup-simplify]: Simplify 0 into 0 69.749 * [backup-simplify]: Simplify 0 into 0 69.749 * [backup-simplify]: Simplify 0 into 0 69.751 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 69.752 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 69.755 * [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 69.756 * [backup-simplify]: Simplify (+ 0 0) into 0 69.756 * [backup-simplify]: Simplify (- 0) into 0 69.756 * [backup-simplify]: Simplify (+ 0 0) into 0 69.758 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 69.761 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 69.772 * [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))))) 69.776 * [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))))) 69.786 * [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))))) 69.786 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) 69.786 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 69.786 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 69.786 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 69.786 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 69.787 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 69.787 * [taylor]: Taking taylor expansion of 1/2 in k 69.787 * [backup-simplify]: Simplify 1/2 into 1/2 69.787 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 69.787 * [taylor]: Taking taylor expansion of 1 in k 69.787 * [backup-simplify]: Simplify 1 into 1 69.787 * [taylor]: Taking taylor expansion of (/ 1 k) in k 69.787 * [taylor]: Taking taylor expansion of k in k 69.787 * [backup-simplify]: Simplify 0 into 0 69.787 * [backup-simplify]: Simplify 1 into 1 69.787 * [backup-simplify]: Simplify (/ 1 1) into 1 69.787 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 69.787 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 69.787 * [taylor]: Taking taylor expansion of 2 in k 69.787 * [backup-simplify]: Simplify 2 into 2 69.787 * [taylor]: Taking taylor expansion of (/ PI n) in k 69.787 * [taylor]: Taking taylor expansion of PI in k 69.787 * [backup-simplify]: Simplify PI into PI 69.787 * [taylor]: Taking taylor expansion of n in k 69.787 * [backup-simplify]: Simplify n into n 69.787 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 69.787 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 69.788 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 69.788 * [backup-simplify]: Simplify (- 1) into -1 69.788 * [backup-simplify]: Simplify (+ 0 -1) into -1 69.789 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 69.789 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 69.789 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 69.789 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 69.789 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 69.789 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 69.789 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 69.789 * [taylor]: Taking taylor expansion of 1/2 in n 69.789 * [backup-simplify]: Simplify 1/2 into 1/2 69.789 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 69.789 * [taylor]: Taking taylor expansion of 1 in n 69.789 * [backup-simplify]: Simplify 1 into 1 69.789 * [taylor]: Taking taylor expansion of (/ 1 k) in n 69.789 * [taylor]: Taking taylor expansion of k in n 69.789 * [backup-simplify]: Simplify k into k 69.789 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 69.790 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 69.790 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 69.790 * [taylor]: Taking taylor expansion of 2 in n 69.790 * [backup-simplify]: Simplify 2 into 2 69.790 * [taylor]: Taking taylor expansion of (/ PI n) in n 69.790 * [taylor]: Taking taylor expansion of PI in n 69.790 * [backup-simplify]: Simplify PI into PI 69.790 * [taylor]: Taking taylor expansion of n in n 69.790 * [backup-simplify]: Simplify 0 into 0 69.790 * [backup-simplify]: Simplify 1 into 1 69.790 * [backup-simplify]: Simplify (/ PI 1) into PI 69.791 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 69.792 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 69.792 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 69.792 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 69.792 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 69.793 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 69.794 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 69.795 * [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))))) 69.795 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 69.796 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 69.796 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 69.796 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 69.796 * [taylor]: Taking taylor expansion of 1/2 in n 69.796 * [backup-simplify]: Simplify 1/2 into 1/2 69.796 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 69.796 * [taylor]: Taking taylor expansion of 1 in n 69.796 * [backup-simplify]: Simplify 1 into 1 69.796 * [taylor]: Taking taylor expansion of (/ 1 k) in n 69.796 * [taylor]: Taking taylor expansion of k in n 69.796 * [backup-simplify]: Simplify k into k 69.796 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 69.796 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 69.796 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 69.796 * [taylor]: Taking taylor expansion of 2 in n 69.796 * [backup-simplify]: Simplify 2 into 2 69.796 * [taylor]: Taking taylor expansion of (/ PI n) in n 69.796 * [taylor]: Taking taylor expansion of PI in n 69.796 * [backup-simplify]: Simplify PI into PI 69.796 * [taylor]: Taking taylor expansion of n in n 69.796 * [backup-simplify]: Simplify 0 into 0 69.796 * [backup-simplify]: Simplify 1 into 1 69.797 * [backup-simplify]: Simplify (/ PI 1) into PI 69.797 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 69.798 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 69.798 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 69.798 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 69.798 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 69.800 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 69.801 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 69.802 * [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))))) 69.802 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 69.802 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 69.802 * [taylor]: Taking taylor expansion of 1/2 in k 69.802 * [backup-simplify]: Simplify 1/2 into 1/2 69.802 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 69.802 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 69.802 * [taylor]: Taking taylor expansion of 1 in k 69.802 * [backup-simplify]: Simplify 1 into 1 69.802 * [taylor]: Taking taylor expansion of (/ 1 k) in k 69.802 * [taylor]: Taking taylor expansion of k in k 69.802 * [backup-simplify]: Simplify 0 into 0 69.802 * [backup-simplify]: Simplify 1 into 1 69.803 * [backup-simplify]: Simplify (/ 1 1) into 1 69.803 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 69.803 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 69.803 * [taylor]: Taking taylor expansion of (* 2 PI) in k 69.803 * [taylor]: Taking taylor expansion of 2 in k 69.803 * [backup-simplify]: Simplify 2 into 2 69.803 * [taylor]: Taking taylor expansion of PI in k 69.803 * [backup-simplify]: Simplify PI into PI 69.803 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 69.804 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 69.804 * [taylor]: Taking taylor expansion of (log n) in k 69.804 * [taylor]: Taking taylor expansion of n in k 69.804 * [backup-simplify]: Simplify n into n 69.804 * [backup-simplify]: Simplify (log n) into (log n) 69.805 * [backup-simplify]: Simplify (- 1) into -1 69.806 * [backup-simplify]: Simplify (+ 0 -1) into -1 69.806 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 69.807 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 69.808 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 69.809 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 69.810 * [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))))) 69.811 * [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))))) 69.812 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 69.813 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 69.814 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 69.814 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 69.815 * [backup-simplify]: Simplify (- 0) into 0 69.815 * [backup-simplify]: Simplify (+ 0 0) into 0 69.816 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 69.817 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 69.818 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 69.820 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 69.820 * [taylor]: Taking taylor expansion of 0 in k 69.820 * [backup-simplify]: Simplify 0 into 0 69.820 * [backup-simplify]: Simplify 0 into 0 69.820 * [backup-simplify]: Simplify 0 into 0 69.821 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 69.822 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 69.826 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 69.826 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 69.826 * [backup-simplify]: Simplify (- 0) into 0 69.827 * [backup-simplify]: Simplify (+ 0 0) into 0 69.828 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 69.829 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 69.831 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 69.833 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 69.833 * [taylor]: Taking taylor expansion of 0 in k 69.833 * [backup-simplify]: Simplify 0 into 0 69.833 * [backup-simplify]: Simplify 0 into 0 69.833 * [backup-simplify]: Simplify 0 into 0 69.833 * [backup-simplify]: Simplify 0 into 0 69.834 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 69.835 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 69.841 * [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 69.841 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 69.841 * [backup-simplify]: Simplify (- 0) into 0 69.842 * [backup-simplify]: Simplify (+ 0 0) into 0 69.842 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 69.843 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 69.845 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 69.846 * [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 69.846 * [taylor]: Taking taylor expansion of 0 in k 69.846 * [backup-simplify]: Simplify 0 into 0 69.846 * [backup-simplify]: Simplify 0 into 0 69.847 * [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)))))) 69.847 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) 69.847 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 69.847 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 69.847 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 69.847 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 69.847 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 69.847 * [taylor]: Taking taylor expansion of 1/2 in k 69.847 * [backup-simplify]: Simplify 1/2 into 1/2 69.847 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 69.847 * [taylor]: Taking taylor expansion of (/ 1 k) in k 69.847 * [taylor]: Taking taylor expansion of k in k 69.847 * [backup-simplify]: Simplify 0 into 0 69.847 * [backup-simplify]: Simplify 1 into 1 69.848 * [backup-simplify]: Simplify (/ 1 1) into 1 69.848 * [taylor]: Taking taylor expansion of 1 in k 69.848 * [backup-simplify]: Simplify 1 into 1 69.848 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 69.848 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 69.848 * [taylor]: Taking taylor expansion of -2 in k 69.848 * [backup-simplify]: Simplify -2 into -2 69.848 * [taylor]: Taking taylor expansion of (/ PI n) in k 69.848 * [taylor]: Taking taylor expansion of PI in k 69.848 * [backup-simplify]: Simplify PI into PI 69.848 * [taylor]: Taking taylor expansion of n in k 69.848 * [backup-simplify]: Simplify n into n 69.848 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 69.848 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 69.848 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 69.848 * [backup-simplify]: Simplify (+ 1 0) into 1 69.849 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 69.849 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 69.849 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 69.849 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 69.849 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 69.849 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 69.849 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 69.849 * [taylor]: Taking taylor expansion of 1/2 in n 69.849 * [backup-simplify]: Simplify 1/2 into 1/2 69.849 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 69.849 * [taylor]: Taking taylor expansion of (/ 1 k) in n 69.849 * [taylor]: Taking taylor expansion of k in n 69.849 * [backup-simplify]: Simplify k into k 69.849 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 69.849 * [taylor]: Taking taylor expansion of 1 in n 69.849 * [backup-simplify]: Simplify 1 into 1 69.849 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 69.849 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 69.849 * [taylor]: Taking taylor expansion of -2 in n 69.849 * [backup-simplify]: Simplify -2 into -2 69.849 * [taylor]: Taking taylor expansion of (/ PI n) in n 69.849 * [taylor]: Taking taylor expansion of PI in n 69.849 * [backup-simplify]: Simplify PI into PI 69.849 * [taylor]: Taking taylor expansion of n in n 69.849 * [backup-simplify]: Simplify 0 into 0 69.849 * [backup-simplify]: Simplify 1 into 1 69.850 * [backup-simplify]: Simplify (/ PI 1) into PI 69.850 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 69.851 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 69.851 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 69.851 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 69.851 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 69.852 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 69.853 * [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))))) 69.853 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 69.853 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 69.853 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 69.853 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 69.853 * [taylor]: Taking taylor expansion of 1/2 in n 69.853 * [backup-simplify]: Simplify 1/2 into 1/2 69.853 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 69.853 * [taylor]: Taking taylor expansion of (/ 1 k) in n 69.853 * [taylor]: Taking taylor expansion of k in n 69.853 * [backup-simplify]: Simplify k into k 69.853 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 69.853 * [taylor]: Taking taylor expansion of 1 in n 69.853 * [backup-simplify]: Simplify 1 into 1 69.853 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 69.853 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 69.853 * [taylor]: Taking taylor expansion of -2 in n 69.853 * [backup-simplify]: Simplify -2 into -2 69.853 * [taylor]: Taking taylor expansion of (/ PI n) in n 69.853 * [taylor]: Taking taylor expansion of PI in n 69.853 * [backup-simplify]: Simplify PI into PI 69.853 * [taylor]: Taking taylor expansion of n in n 69.853 * [backup-simplify]: Simplify 0 into 0 69.853 * [backup-simplify]: Simplify 1 into 1 69.854 * [backup-simplify]: Simplify (/ PI 1) into PI 69.854 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 69.854 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 69.854 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 69.855 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 69.855 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 69.856 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 69.857 * [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))))) 69.857 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 69.857 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 69.857 * [taylor]: Taking taylor expansion of 1/2 in k 69.857 * [backup-simplify]: Simplify 1/2 into 1/2 69.857 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 69.857 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 69.857 * [taylor]: Taking taylor expansion of (/ 1 k) in k 69.857 * [taylor]: Taking taylor expansion of k in k 69.857 * [backup-simplify]: Simplify 0 into 0 69.857 * [backup-simplify]: Simplify 1 into 1 69.857 * [backup-simplify]: Simplify (/ 1 1) into 1 69.857 * [taylor]: Taking taylor expansion of 1 in k 69.857 * [backup-simplify]: Simplify 1 into 1 69.857 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 69.857 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 69.857 * [taylor]: Taking taylor expansion of (* -2 PI) in k 69.857 * [taylor]: Taking taylor expansion of -2 in k 69.857 * [backup-simplify]: Simplify -2 into -2 69.857 * [taylor]: Taking taylor expansion of PI in k 69.857 * [backup-simplify]: Simplify PI into PI 69.858 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 69.858 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 69.858 * [taylor]: Taking taylor expansion of (log n) in k 69.858 * [taylor]: Taking taylor expansion of n in k 69.858 * [backup-simplify]: Simplify n into n 69.858 * [backup-simplify]: Simplify (log n) into (log n) 69.859 * [backup-simplify]: Simplify (+ 1 0) into 1 69.859 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 69.859 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 69.860 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 69.861 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 69.861 * [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))))) 69.862 * [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))))) 69.862 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 69.863 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 69.864 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 69.864 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 69.864 * [backup-simplify]: Simplify (+ 0 0) into 0 69.864 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 69.865 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 69.866 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 69.867 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 69.867 * [taylor]: Taking taylor expansion of 0 in k 69.867 * [backup-simplify]: Simplify 0 into 0 69.867 * [backup-simplify]: Simplify 0 into 0 69.867 * [backup-simplify]: Simplify 0 into 0 69.868 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 69.868 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 69.870 * [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 69.870 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 69.871 * [backup-simplify]: Simplify (+ 0 0) into 0 69.871 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 69.872 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 69.873 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 69.874 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 69.874 * [taylor]: Taking taylor expansion of 0 in k 69.874 * [backup-simplify]: Simplify 0 into 0 69.874 * [backup-simplify]: Simplify 0 into 0 69.874 * [backup-simplify]: Simplify 0 into 0 69.874 * [backup-simplify]: Simplify 0 into 0 69.875 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 69.876 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 69.879 * [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 69.879 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 69.879 * [backup-simplify]: Simplify (+ 0 0) into 0 69.880 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 69.881 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 69.886 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 69.887 * [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 69.887 * [taylor]: Taking taylor expansion of 0 in k 69.887 * [backup-simplify]: Simplify 0 into 0 69.887 * [backup-simplify]: Simplify 0 into 0 69.888 * [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)))))) 69.888 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 69.889 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI)) 69.889 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 69.889 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 69.889 * [taylor]: Taking taylor expansion of 2 in n 69.889 * [backup-simplify]: Simplify 2 into 2 69.889 * [taylor]: Taking taylor expansion of (* n PI) in n 69.889 * [taylor]: Taking taylor expansion of n in n 69.889 * [backup-simplify]: Simplify 0 into 0 69.889 * [backup-simplify]: Simplify 1 into 1 69.889 * [taylor]: Taking taylor expansion of PI in n 69.889 * [backup-simplify]: Simplify PI into PI 69.889 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 69.889 * [taylor]: Taking taylor expansion of 2 in n 69.889 * [backup-simplify]: Simplify 2 into 2 69.889 * [taylor]: Taking taylor expansion of (* n PI) in n 69.889 * [taylor]: Taking taylor expansion of n in n 69.889 * [backup-simplify]: Simplify 0 into 0 69.889 * [backup-simplify]: Simplify 1 into 1 69.889 * [taylor]: Taking taylor expansion of PI in n 69.889 * [backup-simplify]: Simplify PI into PI 69.889 * [backup-simplify]: Simplify (* 0 PI) into 0 69.889 * [backup-simplify]: Simplify (* 2 0) into 0 69.889 * [backup-simplify]: Simplify 0 into 0 69.890 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 69.891 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 69.892 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 69.892 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 69.893 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 69.893 * [backup-simplify]: Simplify 0 into 0 69.893 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 69.894 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 69.894 * [backup-simplify]: Simplify 0 into 0 69.895 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 69.896 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 69.896 * [backup-simplify]: Simplify 0 into 0 69.897 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 69.898 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 69.898 * [backup-simplify]: Simplify 0 into 0 69.899 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 69.900 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 69.900 * [backup-simplify]: Simplify 0 into 0 69.901 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 69.902 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 69.902 * [backup-simplify]: Simplify 0 into 0 69.902 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 69.902 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n)) 69.902 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 69.902 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 69.902 * [taylor]: Taking taylor expansion of 2 in n 69.902 * [backup-simplify]: Simplify 2 into 2 69.902 * [taylor]: Taking taylor expansion of (/ PI n) in n 69.902 * [taylor]: Taking taylor expansion of PI in n 69.902 * [backup-simplify]: Simplify PI into PI 69.902 * [taylor]: Taking taylor expansion of n in n 69.902 * [backup-simplify]: Simplify 0 into 0 69.903 * [backup-simplify]: Simplify 1 into 1 69.903 * [backup-simplify]: Simplify (/ PI 1) into PI 69.903 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 69.903 * [taylor]: Taking taylor expansion of 2 in n 69.903 * [backup-simplify]: Simplify 2 into 2 69.903 * [taylor]: Taking taylor expansion of (/ PI n) in n 69.903 * [taylor]: Taking taylor expansion of PI in n 69.903 * [backup-simplify]: Simplify PI into PI 69.903 * [taylor]: Taking taylor expansion of n in n 69.903 * [backup-simplify]: Simplify 0 into 0 69.903 * [backup-simplify]: Simplify 1 into 1 69.903 * [backup-simplify]: Simplify (/ PI 1) into PI 69.904 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 69.904 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 69.904 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 69.905 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 69.905 * [backup-simplify]: Simplify 0 into 0 69.905 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 69.906 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 69.906 * [backup-simplify]: Simplify 0 into 0 69.907 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 69.907 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 69.907 * [backup-simplify]: Simplify 0 into 0 69.908 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 69.909 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 69.909 * [backup-simplify]: Simplify 0 into 0 69.909 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 69.910 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 69.910 * [backup-simplify]: Simplify 0 into 0 69.911 * [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 69.912 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 69.912 * [backup-simplify]: Simplify 0 into 0 69.912 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 69.912 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n)) 69.912 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 69.912 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 69.912 * [taylor]: Taking taylor expansion of -2 in n 69.912 * [backup-simplify]: Simplify -2 into -2 69.912 * [taylor]: Taking taylor expansion of (/ PI n) in n 69.912 * [taylor]: Taking taylor expansion of PI in n 69.912 * [backup-simplify]: Simplify PI into PI 69.912 * [taylor]: Taking taylor expansion of n in n 69.912 * [backup-simplify]: Simplify 0 into 0 69.912 * [backup-simplify]: Simplify 1 into 1 69.913 * [backup-simplify]: Simplify (/ PI 1) into PI 69.913 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 69.913 * [taylor]: Taking taylor expansion of -2 in n 69.913 * [backup-simplify]: Simplify -2 into -2 69.913 * [taylor]: Taking taylor expansion of (/ PI n) in n 69.913 * [taylor]: Taking taylor expansion of PI in n 69.913 * [backup-simplify]: Simplify PI into PI 69.913 * [taylor]: Taking taylor expansion of n in n 69.913 * [backup-simplify]: Simplify 0 into 0 69.913 * [backup-simplify]: Simplify 1 into 1 69.913 * [backup-simplify]: Simplify (/ PI 1) into PI 69.913 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 69.914 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 69.914 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 69.915 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 69.915 * [backup-simplify]: Simplify 0 into 0 69.915 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 69.916 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 69.916 * [backup-simplify]: Simplify 0 into 0 69.917 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 69.917 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 69.917 * [backup-simplify]: Simplify 0 into 0 69.920 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 69.920 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 69.921 * [backup-simplify]: Simplify 0 into 0 69.921 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 69.923 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 69.923 * [backup-simplify]: Simplify 0 into 0 69.924 * [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 69.925 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 69.925 * [backup-simplify]: Simplify 0 into 0 69.926 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 69.926 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 69.927 * [backup-simplify]: Simplify (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) into (* (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) (sqrt k)) 69.927 * [approximate]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) (sqrt k)) in (k n) around 0 69.927 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) (sqrt k)) in n 69.927 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) in n 69.927 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 69.927 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 69.927 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 69.927 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 69.927 * [taylor]: Taking taylor expansion of 1/2 in n 69.927 * [backup-simplify]: Simplify 1/2 into 1/2 69.927 * [taylor]: Taking taylor expansion of (- 1 k) in n 69.927 * [taylor]: Taking taylor expansion of 1 in n 69.927 * [backup-simplify]: Simplify 1 into 1 69.927 * [taylor]: Taking taylor expansion of k in n 69.927 * [backup-simplify]: Simplify k into k 69.927 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 69.927 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 69.927 * [taylor]: Taking taylor expansion of 2 in n 69.927 * [backup-simplify]: Simplify 2 into 2 69.927 * [taylor]: Taking taylor expansion of (* n PI) in n 69.927 * [taylor]: Taking taylor expansion of n in n 69.927 * [backup-simplify]: Simplify 0 into 0 69.927 * [backup-simplify]: Simplify 1 into 1 69.927 * [taylor]: Taking taylor expansion of PI in n 69.927 * [backup-simplify]: Simplify PI into PI 69.928 * [backup-simplify]: Simplify (* 0 PI) into 0 69.928 * [backup-simplify]: Simplify (* 2 0) into 0 69.930 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 69.931 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 69.932 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 69.932 * [backup-simplify]: Simplify (- k) into (- k) 69.932 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 69.932 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 69.934 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 69.935 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 69.936 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 69.937 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))) into (/ 1 (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))) 69.937 * [taylor]: Taking taylor expansion of (sqrt k) in n 69.937 * [taylor]: Taking taylor expansion of k in n 69.937 * [backup-simplify]: Simplify k into k 69.937 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 69.937 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 69.937 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) (sqrt k)) in k 69.937 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) in k 69.937 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 69.937 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 69.937 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 69.937 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 69.937 * [taylor]: Taking taylor expansion of 1/2 in k 69.937 * [backup-simplify]: Simplify 1/2 into 1/2 69.937 * [taylor]: Taking taylor expansion of (- 1 k) in k 69.937 * [taylor]: Taking taylor expansion of 1 in k 69.937 * [backup-simplify]: Simplify 1 into 1 69.937 * [taylor]: Taking taylor expansion of k in k 69.937 * [backup-simplify]: Simplify 0 into 0 69.937 * [backup-simplify]: Simplify 1 into 1 69.937 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 69.937 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 69.937 * [taylor]: Taking taylor expansion of 2 in k 69.937 * [backup-simplify]: Simplify 2 into 2 69.937 * [taylor]: Taking taylor expansion of (* n PI) in k 69.938 * [taylor]: Taking taylor expansion of n in k 69.938 * [backup-simplify]: Simplify n into n 69.938 * [taylor]: Taking taylor expansion of PI in k 69.938 * [backup-simplify]: Simplify PI into PI 69.938 * [backup-simplify]: Simplify (* n PI) into (* n PI) 69.938 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 69.938 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 69.938 * [backup-simplify]: Simplify (- 0) into 0 69.939 * [backup-simplify]: Simplify (+ 1 0) into 1 69.939 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 69.939 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 69.939 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 69.939 * [backup-simplify]: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2)))) 69.939 * [taylor]: Taking taylor expansion of (sqrt k) in k 69.939 * [taylor]: Taking taylor expansion of k in k 69.939 * [backup-simplify]: Simplify 0 into 0 69.939 * [backup-simplify]: Simplify 1 into 1 69.940 * [backup-simplify]: Simplify (sqrt 0) into 0 69.941 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 69.941 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) (sqrt k)) in k 69.941 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) in k 69.941 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 69.941 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 69.941 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 69.941 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 69.941 * [taylor]: Taking taylor expansion of 1/2 in k 69.941 * [backup-simplify]: Simplify 1/2 into 1/2 69.942 * [taylor]: Taking taylor expansion of (- 1 k) in k 69.942 * [taylor]: Taking taylor expansion of 1 in k 69.942 * [backup-simplify]: Simplify 1 into 1 69.942 * [taylor]: Taking taylor expansion of k in k 69.942 * [backup-simplify]: Simplify 0 into 0 69.942 * [backup-simplify]: Simplify 1 into 1 69.942 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 69.942 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 69.942 * [taylor]: Taking taylor expansion of 2 in k 69.942 * [backup-simplify]: Simplify 2 into 2 69.942 * [taylor]: Taking taylor expansion of (* n PI) in k 69.942 * [taylor]: Taking taylor expansion of n in k 69.942 * [backup-simplify]: Simplify n into n 69.942 * [taylor]: Taking taylor expansion of PI in k 69.942 * [backup-simplify]: Simplify PI into PI 69.942 * [backup-simplify]: Simplify (* n PI) into (* n PI) 69.942 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 69.942 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 69.942 * [backup-simplify]: Simplify (- 0) into 0 69.943 * [backup-simplify]: Simplify (+ 1 0) into 1 69.943 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 69.943 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 69.944 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 69.944 * [backup-simplify]: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2)))) 69.944 * [taylor]: Taking taylor expansion of (sqrt k) in k 69.944 * [taylor]: Taking taylor expansion of k in k 69.944 * [backup-simplify]: Simplify 0 into 0 69.944 * [backup-simplify]: Simplify 1 into 1 69.944 * [backup-simplify]: Simplify (sqrt 0) into 0 69.946 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 69.946 * [backup-simplify]: Simplify (* (sqrt (/ 1 (* PI (* n 2)))) 0) into 0 69.946 * [taylor]: Taking taylor expansion of 0 in n 69.946 * [backup-simplify]: Simplify 0 into 0 69.946 * [backup-simplify]: Simplify 0 into 0 69.947 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 69.947 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 69.948 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 69.949 * [backup-simplify]: Simplify (- 1) into -1 69.949 * [backup-simplify]: Simplify (+ 0 -1) into -1 69.950 * [backup-simplify]: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2 69.950 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 69.951 * [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))))) 69.951 * [backup-simplify]: Simplify (- (+ (* (sqrt (/ 1 (* PI (* n 2)))) (/ (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) (pow (* 2 (* n PI)) 1/2))))) into (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) 69.953 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (* PI (* n 2)))) +nan.0) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) 0)) into (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) 69.953 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n 69.953 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n 69.953 * [taylor]: Taking taylor expansion of +nan.0 in n 69.953 * [backup-simplify]: Simplify +nan.0 into +nan.0 69.953 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n 69.953 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 69.953 * [taylor]: Taking taylor expansion of (/ 1 (* n PI)) in n 69.953 * [taylor]: Taking taylor expansion of (* n PI) in n 69.953 * [taylor]: Taking taylor expansion of n in n 69.953 * [backup-simplify]: Simplify 0 into 0 69.953 * [backup-simplify]: Simplify 1 into 1 69.953 * [taylor]: Taking taylor expansion of PI in n 69.954 * [backup-simplify]: Simplify PI into PI 69.954 * [backup-simplify]: Simplify (* 0 PI) into 0 69.955 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 69.956 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI) 69.956 * [backup-simplify]: Simplify (sqrt 0) into 0 69.958 * [backup-simplify]: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 69.958 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n 69.958 * [taylor]: Taking taylor expansion of 1/2 in n 69.958 * [backup-simplify]: Simplify 1/2 into 1/2 69.959 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 69.960 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 69.962 * [backup-simplify]: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 69.963 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0 69.968 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 69.972 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 69.974 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 1/2) PI))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 69.974 * [backup-simplify]: Simplify 0 into 0 69.977 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 69.978 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 69.979 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 69.981 * [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 69.981 * [backup-simplify]: Simplify (- 0) into 0 69.982 * [backup-simplify]: Simplify (+ 0 0) into 0 69.983 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0 69.983 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 69.985 * [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))) 69.987 * [backup-simplify]: Simplify (- (+ (* (sqrt (/ 1 (* PI (* n 2)))) (/ (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) (pow (* 2 (* n PI)) 1/2))) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (/ (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) (pow (* 2 (* n PI)) 1/2))))) into (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (* n PI))))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))))) 69.993 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (* PI (* n 2)))) +nan.0) (+ (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) +nan.0) (* (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (* n PI))))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))))) 69.994 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))))) in n 69.994 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))))) in n 69.994 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) in n 69.994 * [taylor]: Taking taylor expansion of +nan.0 in n 69.994 * [backup-simplify]: Simplify +nan.0 into +nan.0 69.994 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))) in n 69.994 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) in n 69.994 * [taylor]: Taking taylor expansion of (sqrt 2) in n 69.994 * [taylor]: Taking taylor expansion of 2 in n 69.994 * [backup-simplify]: Simplify 2 into 2 69.994 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 69.995 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 69.995 * [taylor]: Taking taylor expansion of (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2)) in n 69.995 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 69.995 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 69.995 * [taylor]: Taking taylor expansion of 2 in n 69.995 * [backup-simplify]: Simplify 2 into 2 69.995 * [taylor]: Taking taylor expansion of (* n PI) in n 69.995 * [taylor]: Taking taylor expansion of n in n 69.995 * [backup-simplify]: Simplify 0 into 0 69.995 * [backup-simplify]: Simplify 1 into 1 69.995 * [taylor]: Taking taylor expansion of PI in n 69.995 * [backup-simplify]: Simplify PI into PI 69.996 * [backup-simplify]: Simplify (* 0 PI) into 0 69.996 * [backup-simplify]: Simplify (* 2 0) into 0 69.998 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 70.006 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 70.007 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 70.007 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in n 70.007 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n 70.007 * [taylor]: Taking taylor expansion of 1/2 in n 70.007 * [backup-simplify]: Simplify 1/2 into 1/2 70.008 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 70.008 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 70.009 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 70.009 * [taylor]: Taking taylor expansion of (/ 1 (* n PI)) in n 70.009 * [taylor]: Taking taylor expansion of (* n PI) in n 70.009 * [taylor]: Taking taylor expansion of n in n 70.009 * [backup-simplify]: Simplify 0 into 0 70.009 * [backup-simplify]: Simplify 1 into 1 70.009 * [taylor]: Taking taylor expansion of PI in n 70.009 * [backup-simplify]: Simplify PI into PI 70.009 * [backup-simplify]: Simplify (* 0 PI) into 0 70.011 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 70.011 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI) 70.011 * [backup-simplify]: Simplify (sqrt 0) into 0 70.013 * [backup-simplify]: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 70.013 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n 70.013 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n 70.013 * [taylor]: Taking taylor expansion of +nan.0 in n 70.013 * [backup-simplify]: Simplify +nan.0 into +nan.0 70.013 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n 70.013 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 70.013 * [taylor]: Taking taylor expansion of (/ 1 (* n PI)) in n 70.013 * [taylor]: Taking taylor expansion of (* n PI) in n 70.013 * [taylor]: Taking taylor expansion of n in n 70.013 * [backup-simplify]: Simplify 0 into 0 70.014 * [backup-simplify]: Simplify 1 into 1 70.014 * [taylor]: Taking taylor expansion of PI in n 70.014 * [backup-simplify]: Simplify PI into PI 70.014 * [backup-simplify]: Simplify (* 0 PI) into 0 70.015 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 70.015 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI) 70.015 * [backup-simplify]: Simplify (sqrt 0) into 0 70.017 * [backup-simplify]: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 70.017 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n 70.017 * [taylor]: Taking taylor expansion of 1/2 in n 70.017 * [backup-simplify]: Simplify 1/2 into 1/2 70.017 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 70.018 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 70.018 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 70.019 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 70.020 * [backup-simplify]: Simplify (* (+ (log n) (log (* 2 PI))) (pow (sqrt 1/2) 2)) into (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))) 70.022 * [backup-simplify]: Simplify (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) into (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) 70.023 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 70.023 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 70.024 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 70.024 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 70.025 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 70.026 * [backup-simplify]: Simplify (+ (* (+ (log n) (log (* 2 PI))) 0) (* 0 (pow (sqrt 1/2) 2))) into 0 70.028 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))))) into 0 70.030 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) (/ +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))) 70.031 * [backup-simplify]: Simplify (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) 0) into 0 70.038 * [backup-simplify]: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))) (* 0 0)) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))) 70.040 * [backup-simplify]: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 70.040 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0 70.045 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 70.048 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 70.063 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))) (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) 70.082 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) 70.101 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) 70.102 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 70.102 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 70.103 * [backup-simplify]: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 70.106 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 PI) 2) (+)) (* 2 0)) into (/ +nan.0 (pow PI 2)) 70.109 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (/ +nan.0 PI) 0) (* (/ +nan.0 (pow PI 2)) (sqrt 1/2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 70.115 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 70.122 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 70.124 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 70.145 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) (* n k)) (+ (* (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) (pow (* 1 k) 2)) (* (- (* +nan.0 (/ (sqrt 1/2) PI))) (* 1 k)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) PI)) (- (+ (* +nan.0 (/ (* (sqrt 1/2) (pow k 2)) PI)) (- (+ (* +nan.0 (/ (* n (* (sqrt 1/2) k)) (pow PI 2))) (- (+ (* +nan.0 (/ (* (log n) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2)))) PI)) (- (* +nan.0 (/ (* (sqrt 1/2) k) PI))))))))))) 70.146 * [backup-simplify]: Simplify (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2))) into (* (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) (sqrt (/ 1 k))) 70.146 * [approximate]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) (sqrt (/ 1 k))) in (k n) around 0 70.146 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) (sqrt (/ 1 k))) in n 70.146 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) in n 70.146 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 70.146 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 70.146 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 70.146 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 70.146 * [taylor]: Taking taylor expansion of 1/2 in n 70.146 * [backup-simplify]: Simplify 1/2 into 1/2 70.146 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 70.146 * [taylor]: Taking taylor expansion of 1 in n 70.147 * [backup-simplify]: Simplify 1 into 1 70.147 * [taylor]: Taking taylor expansion of (/ 1 k) in n 70.147 * [taylor]: Taking taylor expansion of k in n 70.147 * [backup-simplify]: Simplify k into k 70.147 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 70.147 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 70.147 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 70.147 * [taylor]: Taking taylor expansion of 2 in n 70.147 * [backup-simplify]: Simplify 2 into 2 70.147 * [taylor]: Taking taylor expansion of (/ PI n) in n 70.147 * [taylor]: Taking taylor expansion of PI in n 70.147 * [backup-simplify]: Simplify PI into PI 70.147 * [taylor]: Taking taylor expansion of n in n 70.147 * [backup-simplify]: Simplify 0 into 0 70.147 * [backup-simplify]: Simplify 1 into 1 70.147 * [backup-simplify]: Simplify (/ PI 1) into PI 70.148 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 70.149 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 70.149 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 70.149 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 70.149 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 70.150 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 70.151 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 70.152 * [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))))) 70.153 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) 70.153 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 70.153 * [taylor]: Taking taylor expansion of (/ 1 k) in n 70.153 * [taylor]: Taking taylor expansion of k in n 70.153 * [backup-simplify]: Simplify k into k 70.154 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 70.154 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 70.154 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 70.154 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 70.154 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) (sqrt (/ 1 k))) in k 70.154 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) in k 70.154 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 70.154 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 70.154 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 70.154 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 70.154 * [taylor]: Taking taylor expansion of 1/2 in k 70.154 * [backup-simplify]: Simplify 1/2 into 1/2 70.154 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 70.154 * [taylor]: Taking taylor expansion of 1 in k 70.154 * [backup-simplify]: Simplify 1 into 1 70.154 * [taylor]: Taking taylor expansion of (/ 1 k) in k 70.154 * [taylor]: Taking taylor expansion of k in k 70.154 * [backup-simplify]: Simplify 0 into 0 70.154 * [backup-simplify]: Simplify 1 into 1 70.155 * [backup-simplify]: Simplify (/ 1 1) into 1 70.155 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 70.155 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 70.155 * [taylor]: Taking taylor expansion of 2 in k 70.155 * [backup-simplify]: Simplify 2 into 2 70.155 * [taylor]: Taking taylor expansion of (/ PI n) in k 70.155 * [taylor]: Taking taylor expansion of PI in k 70.155 * [backup-simplify]: Simplify PI into PI 70.155 * [taylor]: Taking taylor expansion of n in k 70.155 * [backup-simplify]: Simplify n into n 70.155 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 70.155 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 70.155 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 70.155 * [backup-simplify]: Simplify (- 1) into -1 70.156 * [backup-simplify]: Simplify (+ 0 -1) into -1 70.156 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 70.157 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 70.157 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 70.157 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) into (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) 70.157 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 70.157 * [taylor]: Taking taylor expansion of (/ 1 k) in k 70.157 * [taylor]: Taking taylor expansion of k in k 70.157 * [backup-simplify]: Simplify 0 into 0 70.157 * [backup-simplify]: Simplify 1 into 1 70.157 * [backup-simplify]: Simplify (/ 1 1) into 1 70.158 * [backup-simplify]: Simplify (sqrt 0) into 0 70.159 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 70.159 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) (sqrt (/ 1 k))) in k 70.159 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) in k 70.159 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 70.159 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 70.159 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 70.159 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 70.159 * [taylor]: Taking taylor expansion of 1/2 in k 70.159 * [backup-simplify]: Simplify 1/2 into 1/2 70.160 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 70.160 * [taylor]: Taking taylor expansion of 1 in k 70.160 * [backup-simplify]: Simplify 1 into 1 70.160 * [taylor]: Taking taylor expansion of (/ 1 k) in k 70.160 * [taylor]: Taking taylor expansion of k in k 70.160 * [backup-simplify]: Simplify 0 into 0 70.160 * [backup-simplify]: Simplify 1 into 1 70.160 * [backup-simplify]: Simplify (/ 1 1) into 1 70.160 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 70.160 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 70.160 * [taylor]: Taking taylor expansion of 2 in k 70.160 * [backup-simplify]: Simplify 2 into 2 70.160 * [taylor]: Taking taylor expansion of (/ PI n) in k 70.160 * [taylor]: Taking taylor expansion of PI in k 70.160 * [backup-simplify]: Simplify PI into PI 70.160 * [taylor]: Taking taylor expansion of n in k 70.160 * [backup-simplify]: Simplify n into n 70.160 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 70.160 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 70.160 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 70.161 * [backup-simplify]: Simplify (- 1) into -1 70.161 * [backup-simplify]: Simplify (+ 0 -1) into -1 70.162 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 70.162 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 70.162 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 70.162 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) into (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) 70.162 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 70.162 * [taylor]: Taking taylor expansion of (/ 1 k) in k 70.162 * [taylor]: Taking taylor expansion of k in k 70.162 * [backup-simplify]: Simplify 0 into 0 70.162 * [backup-simplify]: Simplify 1 into 1 70.163 * [backup-simplify]: Simplify (/ 1 1) into 1 70.163 * [backup-simplify]: Simplify (sqrt 0) into 0 70.164 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 70.165 * [backup-simplify]: Simplify (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) 0) into 0 70.165 * [taylor]: Taking taylor expansion of 0 in n 70.165 * [backup-simplify]: Simplify 0 into 0 70.165 * [backup-simplify]: Simplify 0 into 0 70.165 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))))) into 0 70.166 * [backup-simplify]: Simplify (+ (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))) 70.166 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))) in n 70.166 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 70.166 * [taylor]: Taking taylor expansion of +nan.0 in n 70.166 * [backup-simplify]: Simplify +nan.0 into +nan.0 70.166 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 70.166 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 70.166 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 70.166 * [taylor]: Taking taylor expansion of 1/2 in n 70.166 * [backup-simplify]: Simplify 1/2 into 1/2 70.166 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 70.166 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 70.166 * [taylor]: Taking taylor expansion of 1 in n 70.166 * [backup-simplify]: Simplify 1 into 1 70.166 * [taylor]: Taking taylor expansion of (/ 1 k) in n 70.166 * [taylor]: Taking taylor expansion of k in n 70.166 * [backup-simplify]: Simplify k into k 70.166 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 70.166 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 70.166 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 70.166 * [taylor]: Taking taylor expansion of 2 in n 70.166 * [backup-simplify]: Simplify 2 into 2 70.166 * [taylor]: Taking taylor expansion of (/ PI n) in n 70.166 * [taylor]: Taking taylor expansion of PI in n 70.166 * [backup-simplify]: Simplify PI into PI 70.166 * [taylor]: Taking taylor expansion of n in n 70.166 * [backup-simplify]: Simplify 0 into 0 70.166 * [backup-simplify]: Simplify 1 into 1 70.167 * [backup-simplify]: Simplify (/ PI 1) into PI 70.167 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 70.168 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 70.168 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 70.168 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 70.170 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 70.171 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 70.172 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 70.173 * [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))))) 70.174 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) 70.175 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) 70.176 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) 70.177 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) 70.177 * [backup-simplify]: Simplify 0 into 0 70.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 70.181 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 70.182 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) (* 0 (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))))) into 0 70.183 * [backup-simplify]: Simplify (+ (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))) 70.183 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))) in n 70.183 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 70.183 * [taylor]: Taking taylor expansion of +nan.0 in n 70.183 * [backup-simplify]: Simplify +nan.0 into +nan.0 70.183 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 70.183 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 70.183 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 70.183 * [taylor]: Taking taylor expansion of 1/2 in n 70.183 * [backup-simplify]: Simplify 1/2 into 1/2 70.183 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 70.183 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 70.183 * [taylor]: Taking taylor expansion of 1 in n 70.183 * [backup-simplify]: Simplify 1 into 1 70.183 * [taylor]: Taking taylor expansion of (/ 1 k) in n 70.183 * [taylor]: Taking taylor expansion of k in n 70.183 * [backup-simplify]: Simplify k into k 70.183 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 70.183 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 70.183 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 70.183 * [taylor]: Taking taylor expansion of 2 in n 70.183 * [backup-simplify]: Simplify 2 into 2 70.183 * [taylor]: Taking taylor expansion of (/ PI n) in n 70.183 * [taylor]: Taking taylor expansion of PI in n 70.183 * [backup-simplify]: Simplify PI into PI 70.183 * [taylor]: Taking taylor expansion of n in n 70.183 * [backup-simplify]: Simplify 0 into 0 70.183 * [backup-simplify]: Simplify 1 into 1 70.184 * [backup-simplify]: Simplify (/ PI 1) into PI 70.184 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 70.185 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 70.185 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 70.185 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 70.187 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 70.188 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 70.189 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 70.189 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 70.190 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) 70.191 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) 70.192 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) 70.192 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) 70.193 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 70.193 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 70.194 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 70.194 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 70.195 * [backup-simplify]: Simplify (- 0) into 0 70.195 * [backup-simplify]: Simplify (+ 0 0) into 0 70.196 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 70.196 * [backup-simplify]: Simplify (+ (* (- 1 (/ 1 k)) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 70.197 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into 0 70.198 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 70.200 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))))) into 0 70.201 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) into 0 70.201 * [backup-simplify]: Simplify (- 0) into 0 70.201 * [backup-simplify]: Simplify 0 into 0 70.201 * [backup-simplify]: Simplify 0 into 0 70.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 70.204 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 70.204 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) (* 0 (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) (* 0 (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))))) into 0 70.205 * [backup-simplify]: Simplify (+ (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))) 70.205 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))) in n 70.205 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 70.205 * [taylor]: Taking taylor expansion of +nan.0 in n 70.205 * [backup-simplify]: Simplify +nan.0 into +nan.0 70.205 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 70.205 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 70.205 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 70.205 * [taylor]: Taking taylor expansion of 1/2 in n 70.205 * [backup-simplify]: Simplify 1/2 into 1/2 70.205 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 70.205 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 70.205 * [taylor]: Taking taylor expansion of 1 in n 70.205 * [backup-simplify]: Simplify 1 into 1 70.205 * [taylor]: Taking taylor expansion of (/ 1 k) in n 70.205 * [taylor]: Taking taylor expansion of k in n 70.205 * [backup-simplify]: Simplify k into k 70.205 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 70.205 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 70.205 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 70.205 * [taylor]: Taking taylor expansion of 2 in n 70.205 * [backup-simplify]: Simplify 2 into 2 70.205 * [taylor]: Taking taylor expansion of (/ PI n) in n 70.205 * [taylor]: Taking taylor expansion of PI in n 70.205 * [backup-simplify]: Simplify PI into PI 70.205 * [taylor]: Taking taylor expansion of n in n 70.205 * [backup-simplify]: Simplify 0 into 0 70.205 * [backup-simplify]: Simplify 1 into 1 70.206 * [backup-simplify]: Simplify (/ PI 1) into PI 70.206 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 70.207 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 70.207 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 70.207 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 70.208 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 70.208 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 70.209 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 70.210 * [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))))) 70.210 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) 70.211 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) 70.212 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) 70.212 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) 70.215 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n))))))))) (pow (* 1 (/ 1 k)) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n))))))))) (* 1 (/ 1 k))) (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n))))))))))) into (- (+ (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))))) (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2)))) (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)))))))) 70.215 * [backup-simplify]: Simplify (/ (sqrt (/ 1 (- k))) (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2))) into (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) 70.215 * [approximate]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in (k n) around 0 70.215 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in n 70.215 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 70.215 * [taylor]: Taking taylor expansion of (/ -1 k) in n 70.215 * [taylor]: Taking taylor expansion of -1 in n 70.215 * [backup-simplify]: Simplify -1 into -1 70.215 * [taylor]: Taking taylor expansion of k in n 70.215 * [backup-simplify]: Simplify k into k 70.215 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 70.215 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 70.215 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 70.216 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 70.216 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 70.216 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 70.216 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 70.216 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 70.216 * [taylor]: Taking taylor expansion of 1/2 in n 70.216 * [backup-simplify]: Simplify 1/2 into 1/2 70.216 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 70.216 * [taylor]: Taking taylor expansion of (/ 1 k) in n 70.216 * [taylor]: Taking taylor expansion of k in n 70.216 * [backup-simplify]: Simplify k into k 70.216 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 70.216 * [taylor]: Taking taylor expansion of 1 in n 70.216 * [backup-simplify]: Simplify 1 into 1 70.216 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 70.216 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 70.216 * [taylor]: Taking taylor expansion of -2 in n 70.216 * [backup-simplify]: Simplify -2 into -2 70.216 * [taylor]: Taking taylor expansion of (/ PI n) in n 70.216 * [taylor]: Taking taylor expansion of PI in n 70.216 * [backup-simplify]: Simplify PI into PI 70.216 * [taylor]: Taking taylor expansion of n in n 70.216 * [backup-simplify]: Simplify 0 into 0 70.216 * [backup-simplify]: Simplify 1 into 1 70.216 * [backup-simplify]: Simplify (/ PI 1) into PI 70.217 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 70.217 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 70.217 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 70.217 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 70.218 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 70.219 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 70.220 * [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))))) 70.220 * [backup-simplify]: Simplify (/ (sqrt (/ -1 k)) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (/ (sqrt (/ -1 k)) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) 70.220 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in k 70.221 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 70.221 * [taylor]: Taking taylor expansion of (/ -1 k) in k 70.221 * [taylor]: Taking taylor expansion of -1 in k 70.221 * [backup-simplify]: Simplify -1 into -1 70.221 * [taylor]: Taking taylor expansion of k in k 70.221 * [backup-simplify]: Simplify 0 into 0 70.221 * [backup-simplify]: Simplify 1 into 1 70.221 * [backup-simplify]: Simplify (/ -1 1) into -1 70.221 * [backup-simplify]: Simplify (sqrt 0) into 0 70.222 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 70.222 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 70.222 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 70.222 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 70.222 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 70.222 * [taylor]: Taking taylor expansion of 1/2 in k 70.222 * [backup-simplify]: Simplify 1/2 into 1/2 70.222 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 70.222 * [taylor]: Taking taylor expansion of (/ 1 k) in k 70.222 * [taylor]: Taking taylor expansion of k in k 70.222 * [backup-simplify]: Simplify 0 into 0 70.222 * [backup-simplify]: Simplify 1 into 1 70.222 * [backup-simplify]: Simplify (/ 1 1) into 1 70.223 * [taylor]: Taking taylor expansion of 1 in k 70.223 * [backup-simplify]: Simplify 1 into 1 70.223 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 70.223 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 70.223 * [taylor]: Taking taylor expansion of -2 in k 70.223 * [backup-simplify]: Simplify -2 into -2 70.223 * [taylor]: Taking taylor expansion of (/ PI n) in k 70.223 * [taylor]: Taking taylor expansion of PI in k 70.223 * [backup-simplify]: Simplify PI into PI 70.223 * [taylor]: Taking taylor expansion of n in k 70.223 * [backup-simplify]: Simplify n into n 70.223 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 70.223 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 70.223 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 70.223 * [backup-simplify]: Simplify (+ 1 0) into 1 70.223 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 70.223 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 70.224 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 70.224 * [backup-simplify]: Simplify (/ +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) into (/ +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) 70.224 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in k 70.224 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 70.224 * [taylor]: Taking taylor expansion of (/ -1 k) in k 70.224 * [taylor]: Taking taylor expansion of -1 in k 70.224 * [backup-simplify]: Simplify -1 into -1 70.224 * [taylor]: Taking taylor expansion of k in k 70.224 * [backup-simplify]: Simplify 0 into 0 70.224 * [backup-simplify]: Simplify 1 into 1 70.224 * [backup-simplify]: Simplify (/ -1 1) into -1 70.224 * [backup-simplify]: Simplify (sqrt 0) into 0 70.231 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 70.231 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 70.231 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 70.231 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 70.231 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 70.231 * [taylor]: Taking taylor expansion of 1/2 in k 70.231 * [backup-simplify]: Simplify 1/2 into 1/2 70.231 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 70.232 * [taylor]: Taking taylor expansion of (/ 1 k) in k 70.232 * [taylor]: Taking taylor expansion of k in k 70.232 * [backup-simplify]: Simplify 0 into 0 70.232 * [backup-simplify]: Simplify 1 into 1 70.232 * [backup-simplify]: Simplify (/ 1 1) into 1 70.232 * [taylor]: Taking taylor expansion of 1 in k 70.232 * [backup-simplify]: Simplify 1 into 1 70.232 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 70.232 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 70.232 * [taylor]: Taking taylor expansion of -2 in k 70.232 * [backup-simplify]: Simplify -2 into -2 70.232 * [taylor]: Taking taylor expansion of (/ PI n) in k 70.232 * [taylor]: Taking taylor expansion of PI in k 70.232 * [backup-simplify]: Simplify PI into PI 70.232 * [taylor]: Taking taylor expansion of n in k 70.232 * [backup-simplify]: Simplify n into n 70.233 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 70.233 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 70.233 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 70.233 * [backup-simplify]: Simplify (+ 1 0) into 1 70.234 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 70.234 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 70.234 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 70.234 * [backup-simplify]: Simplify (/ +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) into (/ +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) 70.234 * [taylor]: Taking taylor expansion of (/ +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 70.234 * [taylor]: Taking taylor expansion of +nan.0 in n 70.234 * [backup-simplify]: Simplify +nan.0 into +nan.0 70.234 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 70.234 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 70.234 * [taylor]: Taking taylor expansion of 1/2 in n 70.234 * [backup-simplify]: Simplify 1/2 into 1/2 70.234 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 70.234 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 70.234 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 70.234 * [taylor]: Taking taylor expansion of -2 in n 70.235 * [backup-simplify]: Simplify -2 into -2 70.235 * [taylor]: Taking taylor expansion of (/ PI n) in n 70.235 * [taylor]: Taking taylor expansion of PI in n 70.235 * [backup-simplify]: Simplify PI into PI 70.235 * [taylor]: Taking taylor expansion of n in n 70.235 * [backup-simplify]: Simplify 0 into 0 70.235 * [backup-simplify]: Simplify 1 into 1 70.235 * [backup-simplify]: Simplify (/ PI 1) into PI 70.236 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 70.237 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 70.237 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 70.237 * [taylor]: Taking taylor expansion of (/ 1 k) in n 70.237 * [taylor]: Taking taylor expansion of k in n 70.237 * [backup-simplify]: Simplify k into k 70.237 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 70.237 * [taylor]: Taking taylor expansion of 1 in n 70.237 * [backup-simplify]: Simplify 1 into 1 70.238 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 70.238 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 70.239 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 70.240 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 70.241 * [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))))) 70.242 * [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)))))) 70.243 * [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)))))) 70.243 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 70.245 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 70.245 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) (+ (* (/ +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) (/ 0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))) 70.246 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))) in n 70.246 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n 70.246 * [taylor]: Taking taylor expansion of +nan.0 in n 70.246 * [backup-simplify]: Simplify +nan.0 into +nan.0 70.246 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 70.246 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 70.246 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 70.246 * [taylor]: Taking taylor expansion of 1/2 in n 70.246 * [backup-simplify]: Simplify 1/2 into 1/2 70.246 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 70.246 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 70.246 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 70.246 * [taylor]: Taking taylor expansion of -2 in n 70.246 * [backup-simplify]: Simplify -2 into -2 70.246 * [taylor]: Taking taylor expansion of (/ PI n) in n 70.246 * [taylor]: Taking taylor expansion of PI in n 70.246 * [backup-simplify]: Simplify PI into PI 70.246 * [taylor]: Taking taylor expansion of n in n 70.246 * [backup-simplify]: Simplify 0 into 0 70.246 * [backup-simplify]: Simplify 1 into 1 70.246 * [backup-simplify]: Simplify (/ PI 1) into PI 70.246 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 70.247 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 70.247 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 70.247 * [taylor]: Taking taylor expansion of (/ 1 k) in n 70.247 * [taylor]: Taking taylor expansion of k in n 70.247 * [backup-simplify]: Simplify k into k 70.247 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 70.247 * [taylor]: Taking taylor expansion of 1 in n 70.247 * [backup-simplify]: Simplify 1 into 1 70.248 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 70.248 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 70.249 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 70.249 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 70.250 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 70.251 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) 70.251 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) 70.252 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))) 70.253 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))) 70.254 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 70.254 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 70.254 * [backup-simplify]: Simplify (+ 0 0) into 0 70.255 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 70.255 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 70.256 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 70.257 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (/ 1 k) 1))) into 0 70.258 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into 0 70.259 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 70.261 * [backup-simplify]: Simplify (- (/ 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) (+ (* (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) (/ 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))))) into 0 70.261 * [backup-simplify]: Simplify 0 into 0 70.261 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 70.264 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 70.264 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) (+ (* (/ +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) (/ 0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) (* (- (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))) (/ 0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))) 70.264 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))) in n 70.264 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n 70.265 * [taylor]: Taking taylor expansion of +nan.0 in n 70.265 * [backup-simplify]: Simplify +nan.0 into +nan.0 70.265 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 70.265 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 70.265 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 70.265 * [taylor]: Taking taylor expansion of 1/2 in n 70.265 * [backup-simplify]: Simplify 1/2 into 1/2 70.265 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 70.265 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 70.265 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 70.265 * [taylor]: Taking taylor expansion of -2 in n 70.265 * [backup-simplify]: Simplify -2 into -2 70.265 * [taylor]: Taking taylor expansion of (/ PI n) in n 70.265 * [taylor]: Taking taylor expansion of PI in n 70.265 * [backup-simplify]: Simplify PI into PI 70.265 * [taylor]: Taking taylor expansion of n in n 70.265 * [backup-simplify]: Simplify 0 into 0 70.265 * [backup-simplify]: Simplify 1 into 1 70.265 * [backup-simplify]: Simplify (/ PI 1) into PI 70.265 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 70.266 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 70.266 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 70.266 * [taylor]: Taking taylor expansion of (/ 1 k) in n 70.266 * [taylor]: Taking taylor expansion of k in n 70.266 * [backup-simplify]: Simplify k into k 70.266 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 70.266 * [taylor]: Taking taylor expansion of 1 in n 70.266 * [backup-simplify]: Simplify 1 into 1 70.267 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 70.267 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 70.268 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 70.268 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 70.269 * [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))))) 70.270 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) 70.271 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) 70.273 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))) 70.274 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))) 70.278 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n)))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n)))))))))) (* 1 (/ 1 (- k)))) (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k))) (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2)))) (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))))))))) 70.278 * * * * [progress]: [ 4 / 4 ] generating series at (2) 70.279 * [backup-simplify]: Simplify (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) 70.279 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (k n) around 0 70.279 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 70.279 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 70.279 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 70.279 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 70.279 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 70.279 * [taylor]: Taking taylor expansion of 1/2 in n 70.279 * [backup-simplify]: Simplify 1/2 into 1/2 70.279 * [taylor]: Taking taylor expansion of (- 1 k) in n 70.279 * [taylor]: Taking taylor expansion of 1 in n 70.279 * [backup-simplify]: Simplify 1 into 1 70.279 * [taylor]: Taking taylor expansion of k in n 70.279 * [backup-simplify]: Simplify k into k 70.279 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 70.279 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 70.279 * [taylor]: Taking taylor expansion of 2 in n 70.279 * [backup-simplify]: Simplify 2 into 2 70.279 * [taylor]: Taking taylor expansion of (* n PI) in n 70.279 * [taylor]: Taking taylor expansion of n in n 70.279 * [backup-simplify]: Simplify 0 into 0 70.279 * [backup-simplify]: Simplify 1 into 1 70.280 * [taylor]: Taking taylor expansion of PI in n 70.280 * [backup-simplify]: Simplify PI into PI 70.280 * [backup-simplify]: Simplify (* 0 PI) into 0 70.280 * [backup-simplify]: Simplify (* 2 0) into 0 70.282 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 70.283 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 70.284 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 70.284 * [backup-simplify]: Simplify (- k) into (- k) 70.284 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 70.284 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 70.286 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 70.287 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 70.288 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 70.288 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 70.288 * [taylor]: Taking taylor expansion of (/ 1 k) in n 70.288 * [taylor]: Taking taylor expansion of k in n 70.288 * [backup-simplify]: Simplify k into k 70.288 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 70.288 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 70.288 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 70.289 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 70.289 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 70.289 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 70.289 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 70.289 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 70.289 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 70.289 * [taylor]: Taking taylor expansion of 1/2 in k 70.289 * [backup-simplify]: Simplify 1/2 into 1/2 70.289 * [taylor]: Taking taylor expansion of (- 1 k) in k 70.289 * [taylor]: Taking taylor expansion of 1 in k 70.289 * [backup-simplify]: Simplify 1 into 1 70.289 * [taylor]: Taking taylor expansion of k in k 70.289 * [backup-simplify]: Simplify 0 into 0 70.289 * [backup-simplify]: Simplify 1 into 1 70.289 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 70.289 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 70.289 * [taylor]: Taking taylor expansion of 2 in k 70.289 * [backup-simplify]: Simplify 2 into 2 70.289 * [taylor]: Taking taylor expansion of (* n PI) in k 70.289 * [taylor]: Taking taylor expansion of n in k 70.289 * [backup-simplify]: Simplify n into n 70.289 * [taylor]: Taking taylor expansion of PI in k 70.289 * [backup-simplify]: Simplify PI into PI 70.289 * [backup-simplify]: Simplify (* n PI) into (* n PI) 70.289 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 70.289 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 70.290 * [backup-simplify]: Simplify (- 0) into 0 70.290 * [backup-simplify]: Simplify (+ 1 0) into 1 70.291 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 70.291 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 70.291 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 70.291 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 70.291 * [taylor]: Taking taylor expansion of (/ 1 k) in k 70.291 * [taylor]: Taking taylor expansion of k in k 70.291 * [backup-simplify]: Simplify 0 into 0 70.291 * [backup-simplify]: Simplify 1 into 1 70.292 * [backup-simplify]: Simplify (/ 1 1) into 1 70.292 * [backup-simplify]: Simplify (sqrt 0) into 0 70.293 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 70.293 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 70.293 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 70.293 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 70.293 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 70.294 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 70.294 * [taylor]: Taking taylor expansion of 1/2 in k 70.294 * [backup-simplify]: Simplify 1/2 into 1/2 70.294 * [taylor]: Taking taylor expansion of (- 1 k) in k 70.294 * [taylor]: Taking taylor expansion of 1 in k 70.294 * [backup-simplify]: Simplify 1 into 1 70.294 * [taylor]: Taking taylor expansion of k in k 70.294 * [backup-simplify]: Simplify 0 into 0 70.294 * [backup-simplify]: Simplify 1 into 1 70.294 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 70.294 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 70.294 * [taylor]: Taking taylor expansion of 2 in k 70.294 * [backup-simplify]: Simplify 2 into 2 70.294 * [taylor]: Taking taylor expansion of (* n PI) in k 70.294 * [taylor]: Taking taylor expansion of n in k 70.294 * [backup-simplify]: Simplify n into n 70.294 * [taylor]: Taking taylor expansion of PI in k 70.294 * [backup-simplify]: Simplify PI into PI 70.294 * [backup-simplify]: Simplify (* n PI) into (* n PI) 70.294 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 70.294 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 70.295 * [backup-simplify]: Simplify (- 0) into 0 70.295 * [backup-simplify]: Simplify (+ 1 0) into 1 70.295 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 70.296 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 70.296 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 70.296 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 70.296 * [taylor]: Taking taylor expansion of (/ 1 k) in k 70.296 * [taylor]: Taking taylor expansion of k in k 70.296 * [backup-simplify]: Simplify 0 into 0 70.296 * [backup-simplify]: Simplify 1 into 1 70.296 * [backup-simplify]: Simplify (/ 1 1) into 1 70.297 * [backup-simplify]: Simplify (sqrt 0) into 0 70.298 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 70.298 * [backup-simplify]: Simplify (* (pow (* 2 (* n PI)) 1/2) 0) into 0 70.298 * [taylor]: Taking taylor expansion of 0 in n 70.298 * [backup-simplify]: Simplify 0 into 0 70.298 * [backup-simplify]: Simplify 0 into 0 70.299 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 70.299 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 70.300 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 70.301 * [backup-simplify]: Simplify (- 1) into -1 70.301 * [backup-simplify]: Simplify (+ 0 -1) into -1 70.302 * [backup-simplify]: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2 70.302 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 70.303 * [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))))) 70.303 * [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))))) 70.303 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 70.303 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 70.303 * [taylor]: Taking taylor expansion of +nan.0 in n 70.303 * [backup-simplify]: Simplify +nan.0 into +nan.0 70.303 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 70.303 * [taylor]: Taking taylor expansion of (sqrt 2) in n 70.303 * [taylor]: Taking taylor expansion of 2 in n 70.303 * [backup-simplify]: Simplify 2 into 2 70.304 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 70.304 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 70.304 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 70.304 * [taylor]: Taking taylor expansion of (* n PI) in n 70.304 * [taylor]: Taking taylor expansion of n in n 70.304 * [backup-simplify]: Simplify 0 into 0 70.304 * [backup-simplify]: Simplify 1 into 1 70.304 * [taylor]: Taking taylor expansion of PI in n 70.305 * [backup-simplify]: Simplify PI into PI 70.305 * [backup-simplify]: Simplify (* 0 PI) into 0 70.307 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 70.307 * [backup-simplify]: Simplify (sqrt 0) into 0 70.309 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 70.309 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 70.310 * [backup-simplify]: Simplify (* +nan.0 0) into 0 70.310 * [backup-simplify]: Simplify (- 0) into 0 70.310 * [backup-simplify]: Simplify 0 into 0 70.310 * [backup-simplify]: Simplify 0 into 0 70.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 70.314 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 70.315 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 70.315 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 70.317 * [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 70.318 * [backup-simplify]: Simplify (- 0) into 0 70.318 * [backup-simplify]: Simplify (+ 0 0) into 0 70.319 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0 70.320 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 70.321 * [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))) 70.322 * [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))))))) 70.322 * [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 70.322 * [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 70.322 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 70.322 * [taylor]: Taking taylor expansion of +nan.0 in n 70.322 * [backup-simplify]: Simplify +nan.0 into +nan.0 70.322 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 70.322 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 70.322 * [taylor]: Taking taylor expansion of (sqrt 2) in n 70.322 * [taylor]: Taking taylor expansion of 2 in n 70.322 * [backup-simplify]: Simplify 2 into 2 70.323 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 70.323 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 70.323 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 70.323 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 70.323 * [taylor]: Taking taylor expansion of 2 in n 70.323 * [backup-simplify]: Simplify 2 into 2 70.323 * [taylor]: Taking taylor expansion of (* n PI) in n 70.323 * [taylor]: Taking taylor expansion of n in n 70.323 * [backup-simplify]: Simplify 0 into 0 70.323 * [backup-simplify]: Simplify 1 into 1 70.324 * [taylor]: Taking taylor expansion of PI in n 70.324 * [backup-simplify]: Simplify PI into PI 70.324 * [backup-simplify]: Simplify (* 0 PI) into 0 70.324 * [backup-simplify]: Simplify (* 2 0) into 0 70.326 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 70.327 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 70.328 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 70.328 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 70.328 * [taylor]: Taking taylor expansion of (* n PI) in n 70.328 * [taylor]: Taking taylor expansion of n in n 70.328 * [backup-simplify]: Simplify 0 into 0 70.328 * [backup-simplify]: Simplify 1 into 1 70.329 * [taylor]: Taking taylor expansion of PI in n 70.329 * [backup-simplify]: Simplify PI into PI 70.329 * [backup-simplify]: Simplify (* 0 PI) into 0 70.330 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 70.331 * [backup-simplify]: Simplify (sqrt 0) into 0 70.332 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 70.332 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 70.332 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 70.332 * [taylor]: Taking taylor expansion of +nan.0 in n 70.332 * [backup-simplify]: Simplify +nan.0 into +nan.0 70.332 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 70.332 * [taylor]: Taking taylor expansion of (sqrt 2) in n 70.332 * [taylor]: Taking taylor expansion of 2 in n 70.332 * [backup-simplify]: Simplify 2 into 2 70.333 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 70.333 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 70.333 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 70.333 * [taylor]: Taking taylor expansion of (* n PI) in n 70.333 * [taylor]: Taking taylor expansion of n in n 70.333 * [backup-simplify]: Simplify 0 into 0 70.333 * [backup-simplify]: Simplify 1 into 1 70.333 * [taylor]: Taking taylor expansion of PI in n 70.333 * [backup-simplify]: Simplify PI into PI 70.334 * [backup-simplify]: Simplify (* 0 PI) into 0 70.334 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 70.335 * [backup-simplify]: Simplify (sqrt 0) into 0 70.335 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 70.336 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 70.337 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 70.338 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 70.338 * [backup-simplify]: Simplify (* +nan.0 0) into 0 70.339 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 70.339 * [backup-simplify]: Simplify (* +nan.0 0) into 0 70.339 * [backup-simplify]: Simplify (- 0) into 0 70.339 * [backup-simplify]: Simplify (+ 0 0) into 0 70.340 * [backup-simplify]: Simplify (- 0) into 0 70.340 * [backup-simplify]: Simplify 0 into 0 70.341 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 70.350 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 70.352 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 70.354 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 70.354 * [backup-simplify]: Simplify 0 into 0 70.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 70.357 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 70.357 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 70.358 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 70.361 * [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 70.362 * [backup-simplify]: Simplify (- 0) into 0 70.362 * [backup-simplify]: Simplify (+ 0 0) into 0 70.363 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))) into 0 70.365 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0 70.367 * [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))) 70.368 * [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))))))))) 70.368 * [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 70.368 * [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 70.368 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 70.368 * [taylor]: Taking taylor expansion of +nan.0 in n 70.368 * [backup-simplify]: Simplify +nan.0 into +nan.0 70.368 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 70.368 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 70.368 * [taylor]: Taking taylor expansion of (sqrt 2) in n 70.368 * [taylor]: Taking taylor expansion of 2 in n 70.368 * [backup-simplify]: Simplify 2 into 2 70.369 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 70.370 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 70.370 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 70.370 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 70.370 * [taylor]: Taking taylor expansion of 2 in n 70.370 * [backup-simplify]: Simplify 2 into 2 70.370 * [taylor]: Taking taylor expansion of (* n PI) in n 70.370 * [taylor]: Taking taylor expansion of n in n 70.370 * [backup-simplify]: Simplify 0 into 0 70.370 * [backup-simplify]: Simplify 1 into 1 70.370 * [taylor]: Taking taylor expansion of PI in n 70.370 * [backup-simplify]: Simplify PI into PI 70.370 * [backup-simplify]: Simplify (* 0 PI) into 0 70.371 * [backup-simplify]: Simplify (* 2 0) into 0 70.372 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 70.374 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 70.375 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 70.375 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 70.375 * [taylor]: Taking taylor expansion of (* n PI) in n 70.375 * [taylor]: Taking taylor expansion of n in n 70.375 * [backup-simplify]: Simplify 0 into 0 70.375 * [backup-simplify]: Simplify 1 into 1 70.375 * [taylor]: Taking taylor expansion of PI in n 70.375 * [backup-simplify]: Simplify PI into PI 70.375 * [backup-simplify]: Simplify (* 0 PI) into 0 70.377 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 70.377 * [backup-simplify]: Simplify (sqrt 0) into 0 70.379 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 70.379 * [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 70.379 * [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 70.379 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 70.379 * [taylor]: Taking taylor expansion of +nan.0 in n 70.379 * [backup-simplify]: Simplify +nan.0 into +nan.0 70.379 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 70.379 * [taylor]: Taking taylor expansion of (sqrt 2) in n 70.379 * [taylor]: Taking taylor expansion of 2 in n 70.379 * [backup-simplify]: Simplify 2 into 2 70.380 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 70.380 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 70.380 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 70.380 * [taylor]: Taking taylor expansion of (* n PI) in n 70.380 * [taylor]: Taking taylor expansion of n in n 70.380 * [backup-simplify]: Simplify 0 into 0 70.380 * [backup-simplify]: Simplify 1 into 1 70.380 * [taylor]: Taking taylor expansion of PI in n 70.380 * [backup-simplify]: Simplify PI into PI 70.381 * [backup-simplify]: Simplify (* 0 PI) into 0 70.382 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 70.383 * [backup-simplify]: Simplify (sqrt 0) into 0 70.384 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 70.384 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))) in n 70.384 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n 70.384 * [taylor]: Taking taylor expansion of +nan.0 in n 70.384 * [backup-simplify]: Simplify +nan.0 into +nan.0 70.384 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n 70.384 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n 70.384 * [taylor]: Taking taylor expansion of (sqrt 2) in n 70.384 * [taylor]: Taking taylor expansion of 2 in n 70.384 * [backup-simplify]: Simplify 2 into 2 70.385 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 70.385 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 70.386 * [taylor]: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n 70.386 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 70.386 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 70.386 * [taylor]: Taking taylor expansion of 2 in n 70.386 * [backup-simplify]: Simplify 2 into 2 70.386 * [taylor]: Taking taylor expansion of (* n PI) in n 70.386 * [taylor]: Taking taylor expansion of n in n 70.386 * [backup-simplify]: Simplify 0 into 0 70.386 * [backup-simplify]: Simplify 1 into 1 70.386 * [taylor]: Taking taylor expansion of PI in n 70.386 * [backup-simplify]: Simplify PI into PI 70.386 * [backup-simplify]: Simplify (* 0 PI) into 0 70.387 * [backup-simplify]: Simplify (* 2 0) into 0 70.388 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 70.390 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 70.391 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 70.392 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 70.392 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 70.392 * [taylor]: Taking taylor expansion of (* n PI) in n 70.392 * [taylor]: Taking taylor expansion of n in n 70.392 * [backup-simplify]: Simplify 0 into 0 70.392 * [backup-simplify]: Simplify 1 into 1 70.392 * [taylor]: Taking taylor expansion of PI in n 70.392 * [backup-simplify]: Simplify PI into PI 70.393 * [backup-simplify]: Simplify (* 0 PI) into 0 70.394 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 70.395 * [backup-simplify]: Simplify (sqrt 0) into 0 70.396 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 70.398 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 70.399 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 70.400 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 70.401 * [backup-simplify]: Simplify (* +nan.0 0) into 0 70.401 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 70.402 * [backup-simplify]: Simplify (* +nan.0 0) into 0 70.403 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 70.405 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 70.407 * [backup-simplify]: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2) 70.408 * [backup-simplify]: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 70.409 * [backup-simplify]: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0 70.410 * [backup-simplify]: Simplify (* +nan.0 0) into 0 70.410 * [backup-simplify]: Simplify (- 0) into 0 70.411 * [backup-simplify]: Simplify (+ 0 0) into 0 70.411 * [backup-simplify]: Simplify (- 0) into 0 70.411 * [backup-simplify]: Simplify (+ 0 0) into 0 70.412 * [backup-simplify]: Simplify (- 0) into 0 70.412 * [backup-simplify]: Simplify 0 into 0 70.413 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 70.414 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 70.416 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 70.418 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 70.419 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 70.421 * [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)))))))) 70.428 * [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)))))))) 70.431 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 70.437 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 70.441 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 70.449 * [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)))))))))) 70.457 * [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))))))) 70.465 * [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))))))) 70.466 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 70.470 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 70.471 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 70.475 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 70.484 * [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)))) 70.487 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 70.489 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 70.497 * [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))))))))))))) 70.497 * [backup-simplify]: Simplify (/ 1 (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)))) into (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) 70.497 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (k n) around 0 70.497 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 70.497 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 70.497 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 70.497 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 70.497 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 70.497 * [taylor]: Taking taylor expansion of 1/2 in n 70.497 * [backup-simplify]: Simplify 1/2 into 1/2 70.497 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 70.497 * [taylor]: Taking taylor expansion of 1 in n 70.497 * [backup-simplify]: Simplify 1 into 1 70.497 * [taylor]: Taking taylor expansion of (/ 1 k) in n 70.497 * [taylor]: Taking taylor expansion of k in n 70.497 * [backup-simplify]: Simplify k into k 70.497 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 70.497 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 70.497 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 70.497 * [taylor]: Taking taylor expansion of 2 in n 70.498 * [backup-simplify]: Simplify 2 into 2 70.498 * [taylor]: Taking taylor expansion of (/ PI n) in n 70.498 * [taylor]: Taking taylor expansion of PI in n 70.498 * [backup-simplify]: Simplify PI into PI 70.498 * [taylor]: Taking taylor expansion of n in n 70.498 * [backup-simplify]: Simplify 0 into 0 70.498 * [backup-simplify]: Simplify 1 into 1 70.498 * [backup-simplify]: Simplify (/ PI 1) into PI 70.498 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 70.499 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 70.499 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 70.499 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 70.499 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 70.500 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 70.500 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 70.501 * [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))))) 70.501 * [taylor]: Taking taylor expansion of (sqrt k) in n 70.501 * [taylor]: Taking taylor expansion of k in n 70.501 * [backup-simplify]: Simplify k into k 70.501 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 70.501 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 70.501 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 70.501 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 70.501 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 70.501 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 70.501 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 70.501 * [taylor]: Taking taylor expansion of 1/2 in k 70.501 * [backup-simplify]: Simplify 1/2 into 1/2 70.501 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 70.501 * [taylor]: Taking taylor expansion of 1 in k 70.501 * [backup-simplify]: Simplify 1 into 1 70.501 * [taylor]: Taking taylor expansion of (/ 1 k) in k 70.502 * [taylor]: Taking taylor expansion of k in k 70.502 * [backup-simplify]: Simplify 0 into 0 70.502 * [backup-simplify]: Simplify 1 into 1 70.502 * [backup-simplify]: Simplify (/ 1 1) into 1 70.502 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 70.502 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 70.502 * [taylor]: Taking taylor expansion of 2 in k 70.502 * [backup-simplify]: Simplify 2 into 2 70.502 * [taylor]: Taking taylor expansion of (/ PI n) in k 70.502 * [taylor]: Taking taylor expansion of PI in k 70.502 * [backup-simplify]: Simplify PI into PI 70.502 * [taylor]: Taking taylor expansion of n in k 70.502 * [backup-simplify]: Simplify n into n 70.502 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 70.502 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 70.502 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 70.502 * [backup-simplify]: Simplify (- 1) into -1 70.503 * [backup-simplify]: Simplify (+ 0 -1) into -1 70.503 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 70.503 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 70.503 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 70.503 * [taylor]: Taking taylor expansion of (sqrt k) in k 70.503 * [taylor]: Taking taylor expansion of k in k 70.503 * [backup-simplify]: Simplify 0 into 0 70.503 * [backup-simplify]: Simplify 1 into 1 70.503 * [backup-simplify]: Simplify (sqrt 0) into 0 70.504 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 70.504 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 70.504 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 70.504 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 70.504 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 70.504 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 70.504 * [taylor]: Taking taylor expansion of 1/2 in k 70.504 * [backup-simplify]: Simplify 1/2 into 1/2 70.504 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 70.504 * [taylor]: Taking taylor expansion of 1 in k 70.504 * [backup-simplify]: Simplify 1 into 1 70.504 * [taylor]: Taking taylor expansion of (/ 1 k) in k 70.505 * [taylor]: Taking taylor expansion of k in k 70.505 * [backup-simplify]: Simplify 0 into 0 70.505 * [backup-simplify]: Simplify 1 into 1 70.505 * [backup-simplify]: Simplify (/ 1 1) into 1 70.505 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 70.505 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 70.505 * [taylor]: Taking taylor expansion of 2 in k 70.505 * [backup-simplify]: Simplify 2 into 2 70.505 * [taylor]: Taking taylor expansion of (/ PI n) in k 70.505 * [taylor]: Taking taylor expansion of PI in k 70.505 * [backup-simplify]: Simplify PI into PI 70.505 * [taylor]: Taking taylor expansion of n in k 70.505 * [backup-simplify]: Simplify n into n 70.505 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 70.505 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 70.505 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 70.506 * [backup-simplify]: Simplify (- 1) into -1 70.506 * [backup-simplify]: Simplify (+ 0 -1) into -1 70.507 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 70.507 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 70.507 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 70.507 * [taylor]: Taking taylor expansion of (sqrt k) in k 70.507 * [taylor]: Taking taylor expansion of k in k 70.507 * [backup-simplify]: Simplify 0 into 0 70.507 * [backup-simplify]: Simplify 1 into 1 70.507 * [backup-simplify]: Simplify (sqrt 0) into 0 70.509 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 70.509 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 0) into 0 70.509 * [taylor]: Taking taylor expansion of 0 in n 70.509 * [backup-simplify]: Simplify 0 into 0 70.509 * [backup-simplify]: Simplify 0 into 0 70.510 * [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)))))))) 70.510 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 70.510 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 70.510 * [taylor]: Taking taylor expansion of +nan.0 in n 70.510 * [backup-simplify]: Simplify +nan.0 into +nan.0 70.510 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 70.510 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 70.510 * [taylor]: Taking taylor expansion of 1/2 in n 70.510 * [backup-simplify]: Simplify 1/2 into 1/2 70.510 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 70.510 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 70.510 * [taylor]: Taking taylor expansion of 1 in n 70.510 * [backup-simplify]: Simplify 1 into 1 70.510 * [taylor]: Taking taylor expansion of (/ 1 k) in n 70.510 * [taylor]: Taking taylor expansion of k in n 70.510 * [backup-simplify]: Simplify k into k 70.510 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 70.510 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 70.510 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 70.510 * [taylor]: Taking taylor expansion of 2 in n 70.510 * [backup-simplify]: Simplify 2 into 2 70.510 * [taylor]: Taking taylor expansion of (/ PI n) in n 70.510 * [taylor]: Taking taylor expansion of PI in n 70.510 * [backup-simplify]: Simplify PI into PI 70.511 * [taylor]: Taking taylor expansion of n in n 70.511 * [backup-simplify]: Simplify 0 into 0 70.511 * [backup-simplify]: Simplify 1 into 1 70.511 * [backup-simplify]: Simplify (/ PI 1) into PI 70.512 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 70.513 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 70.513 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 70.513 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 70.514 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 70.515 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 70.517 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 70.518 * [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))))) 70.520 * [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)))))) 70.521 * [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))))))) 70.522 * [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))))))) 70.522 * [backup-simplify]: Simplify 0 into 0 70.525 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 70.526 * [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)))))))) 70.526 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 70.526 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 70.526 * [taylor]: Taking taylor expansion of +nan.0 in n 70.526 * [backup-simplify]: Simplify +nan.0 into +nan.0 70.526 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 70.526 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 70.526 * [taylor]: Taking taylor expansion of 1/2 in n 70.527 * [backup-simplify]: Simplify 1/2 into 1/2 70.527 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 70.527 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 70.527 * [taylor]: Taking taylor expansion of 1 in n 70.527 * [backup-simplify]: Simplify 1 into 1 70.527 * [taylor]: Taking taylor expansion of (/ 1 k) in n 70.527 * [taylor]: Taking taylor expansion of k in n 70.527 * [backup-simplify]: Simplify k into k 70.527 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 70.527 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 70.527 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 70.527 * [taylor]: Taking taylor expansion of 2 in n 70.527 * [backup-simplify]: Simplify 2 into 2 70.527 * [taylor]: Taking taylor expansion of (/ PI n) in n 70.527 * [taylor]: Taking taylor expansion of PI in n 70.527 * [backup-simplify]: Simplify PI into PI 70.527 * [taylor]: Taking taylor expansion of n in n 70.527 * [backup-simplify]: Simplify 0 into 0 70.527 * [backup-simplify]: Simplify 1 into 1 70.528 * [backup-simplify]: Simplify (/ PI 1) into PI 70.528 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 70.529 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 70.529 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 70.529 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 70.530 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 70.531 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 70.532 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 70.532 * [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))))) 70.533 * [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)))))) 70.534 * [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))))))) 70.535 * [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))))))) 70.535 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 70.536 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 70.537 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 70.537 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 70.537 * [backup-simplify]: Simplify (- 0) into 0 70.537 * [backup-simplify]: Simplify (+ 0 0) into 0 70.538 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 70.539 * [backup-simplify]: Simplify (+ (* (- 1 (/ 1 k)) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 70.540 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into 0 70.541 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 70.542 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into 0 70.542 * [backup-simplify]: Simplify (- 0) into 0 70.542 * [backup-simplify]: Simplify 0 into 0 70.542 * [backup-simplify]: Simplify 0 into 0 70.544 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 70.545 * [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)))))))) 70.545 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 70.545 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 70.545 * [taylor]: Taking taylor expansion of +nan.0 in n 70.545 * [backup-simplify]: Simplify +nan.0 into +nan.0 70.545 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 70.545 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 70.545 * [taylor]: Taking taylor expansion of 1/2 in n 70.545 * [backup-simplify]: Simplify 1/2 into 1/2 70.545 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 70.545 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 70.545 * [taylor]: Taking taylor expansion of 1 in n 70.545 * [backup-simplify]: Simplify 1 into 1 70.545 * [taylor]: Taking taylor expansion of (/ 1 k) in n 70.545 * [taylor]: Taking taylor expansion of k in n 70.545 * [backup-simplify]: Simplify k into k 70.545 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 70.545 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 70.545 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 70.545 * [taylor]: Taking taylor expansion of 2 in n 70.545 * [backup-simplify]: Simplify 2 into 2 70.545 * [taylor]: Taking taylor expansion of (/ PI n) in n 70.545 * [taylor]: Taking taylor expansion of PI in n 70.545 * [backup-simplify]: Simplify PI into PI 70.545 * [taylor]: Taking taylor expansion of n in n 70.545 * [backup-simplify]: Simplify 0 into 0 70.545 * [backup-simplify]: Simplify 1 into 1 70.546 * [backup-simplify]: Simplify (/ PI 1) into PI 70.546 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 70.546 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 70.546 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 70.547 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 70.547 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 70.548 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 70.549 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 70.549 * [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))))) 70.550 * [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)))))) 70.551 * [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))))))) 70.551 * [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))))))) 70.554 * [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)))))))) 70.554 * [backup-simplify]: Simplify (/ 1 (/ (sqrt (/ 1 (- k))) (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)))) into (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) 70.554 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (k n) around 0 70.554 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 70.554 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 70.554 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 70.554 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 70.554 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 70.554 * [taylor]: Taking taylor expansion of 1/2 in n 70.554 * [backup-simplify]: Simplify 1/2 into 1/2 70.555 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 70.555 * [taylor]: Taking taylor expansion of (/ 1 k) in n 70.555 * [taylor]: Taking taylor expansion of k in n 70.555 * [backup-simplify]: Simplify k into k 70.555 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 70.555 * [taylor]: Taking taylor expansion of 1 in n 70.555 * [backup-simplify]: Simplify 1 into 1 70.555 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 70.555 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 70.555 * [taylor]: Taking taylor expansion of -2 in n 70.555 * [backup-simplify]: Simplify -2 into -2 70.555 * [taylor]: Taking taylor expansion of (/ PI n) in n 70.555 * [taylor]: Taking taylor expansion of PI in n 70.555 * [backup-simplify]: Simplify PI into PI 70.555 * [taylor]: Taking taylor expansion of n in n 70.555 * [backup-simplify]: Simplify 0 into 0 70.555 * [backup-simplify]: Simplify 1 into 1 70.555 * [backup-simplify]: Simplify (/ PI 1) into PI 70.555 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 70.556 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 70.556 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 70.556 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 70.557 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 70.558 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 70.558 * [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))))) 70.558 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 70.558 * [taylor]: Taking taylor expansion of (/ -1 k) in n 70.558 * [taylor]: Taking taylor expansion of -1 in n 70.558 * [backup-simplify]: Simplify -1 into -1 70.558 * [taylor]: Taking taylor expansion of k in n 70.558 * [backup-simplify]: Simplify k into k 70.558 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 70.558 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 70.558 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 70.559 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 70.559 * [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))) 70.559 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 70.559 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 70.559 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 70.559 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 70.559 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 70.559 * [taylor]: Taking taylor expansion of 1/2 in k 70.559 * [backup-simplify]: Simplify 1/2 into 1/2 70.559 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 70.559 * [taylor]: Taking taylor expansion of (/ 1 k) in k 70.559 * [taylor]: Taking taylor expansion of k in k 70.559 * [backup-simplify]: Simplify 0 into 0 70.559 * [backup-simplify]: Simplify 1 into 1 70.560 * [backup-simplify]: Simplify (/ 1 1) into 1 70.560 * [taylor]: Taking taylor expansion of 1 in k 70.560 * [backup-simplify]: Simplify 1 into 1 70.560 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 70.560 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 70.560 * [taylor]: Taking taylor expansion of -2 in k 70.560 * [backup-simplify]: Simplify -2 into -2 70.560 * [taylor]: Taking taylor expansion of (/ PI n) in k 70.560 * [taylor]: Taking taylor expansion of PI in k 70.560 * [backup-simplify]: Simplify PI into PI 70.560 * [taylor]: Taking taylor expansion of n in k 70.560 * [backup-simplify]: Simplify n into n 70.560 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 70.560 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 70.560 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 70.560 * [backup-simplify]: Simplify (+ 1 0) into 1 70.561 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 70.561 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 70.561 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 70.561 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 70.561 * [taylor]: Taking taylor expansion of (/ -1 k) in k 70.561 * [taylor]: Taking taylor expansion of -1 in k 70.561 * [backup-simplify]: Simplify -1 into -1 70.561 * [taylor]: Taking taylor expansion of k in k 70.561 * [backup-simplify]: Simplify 0 into 0 70.561 * [backup-simplify]: Simplify 1 into 1 70.561 * [backup-simplify]: Simplify (/ -1 1) into -1 70.561 * [backup-simplify]: Simplify (sqrt 0) into 0 70.562 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 70.562 * [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))))) 70.562 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 70.562 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 70.562 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 70.562 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 70.562 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 70.562 * [taylor]: Taking taylor expansion of 1/2 in k 70.562 * [backup-simplify]: Simplify 1/2 into 1/2 70.562 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 70.562 * [taylor]: Taking taylor expansion of (/ 1 k) in k 70.562 * [taylor]: Taking taylor expansion of k in k 70.563 * [backup-simplify]: Simplify 0 into 0 70.563 * [backup-simplify]: Simplify 1 into 1 70.563 * [backup-simplify]: Simplify (/ 1 1) into 1 70.563 * [taylor]: Taking taylor expansion of 1 in k 70.563 * [backup-simplify]: Simplify 1 into 1 70.563 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 70.563 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 70.563 * [taylor]: Taking taylor expansion of -2 in k 70.563 * [backup-simplify]: Simplify -2 into -2 70.563 * [taylor]: Taking taylor expansion of (/ PI n) in k 70.563 * [taylor]: Taking taylor expansion of PI in k 70.563 * [backup-simplify]: Simplify PI into PI 70.563 * [taylor]: Taking taylor expansion of n in k 70.563 * [backup-simplify]: Simplify n into n 70.563 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 70.563 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 70.563 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 70.563 * [backup-simplify]: Simplify (+ 1 0) into 1 70.564 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 70.564 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 70.564 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 70.564 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 70.564 * [taylor]: Taking taylor expansion of (/ -1 k) in k 70.564 * [taylor]: Taking taylor expansion of -1 in k 70.564 * [backup-simplify]: Simplify -1 into -1 70.564 * [taylor]: Taking taylor expansion of k in k 70.564 * [backup-simplify]: Simplify 0 into 0 70.564 * [backup-simplify]: Simplify 1 into 1 70.564 * [backup-simplify]: Simplify (/ -1 1) into -1 70.564 * [backup-simplify]: Simplify (sqrt 0) into 0 70.565 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 70.566 * [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))))) 70.566 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 70.566 * [taylor]: Taking taylor expansion of +nan.0 in n 70.566 * [backup-simplify]: Simplify +nan.0 into +nan.0 70.566 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 70.566 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 70.566 * [taylor]: Taking taylor expansion of 1/2 in n 70.566 * [backup-simplify]: Simplify 1/2 into 1/2 70.566 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 70.566 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 70.566 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 70.566 * [taylor]: Taking taylor expansion of -2 in n 70.566 * [backup-simplify]: Simplify -2 into -2 70.566 * [taylor]: Taking taylor expansion of (/ PI n) in n 70.566 * [taylor]: Taking taylor expansion of PI in n 70.566 * [backup-simplify]: Simplify PI into PI 70.566 * [taylor]: Taking taylor expansion of n in n 70.566 * [backup-simplify]: Simplify 0 into 0 70.566 * [backup-simplify]: Simplify 1 into 1 70.567 * [backup-simplify]: Simplify (/ PI 1) into PI 70.567 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 70.569 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 70.569 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 70.569 * [taylor]: Taking taylor expansion of (/ 1 k) in n 70.569 * [taylor]: Taking taylor expansion of k in n 70.569 * [backup-simplify]: Simplify k into k 70.569 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 70.569 * [taylor]: Taking taylor expansion of 1 in n 70.569 * [backup-simplify]: Simplify 1 into 1 70.570 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 70.570 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 70.571 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 70.573 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 70.574 * [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))))) 70.575 * [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)))))) 70.576 * [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)))))) 70.577 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 70.580 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 70.581 * [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)))))) 70.581 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n 70.581 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 70.581 * [taylor]: Taking taylor expansion of +nan.0 in n 70.581 * [backup-simplify]: Simplify +nan.0 into +nan.0 70.581 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 70.581 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 70.581 * [taylor]: Taking taylor expansion of 1/2 in n 70.581 * [backup-simplify]: Simplify 1/2 into 1/2 70.581 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 70.581 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 70.582 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 70.582 * [taylor]: Taking taylor expansion of -2 in n 70.582 * [backup-simplify]: Simplify -2 into -2 70.582 * [taylor]: Taking taylor expansion of (/ PI n) in n 70.582 * [taylor]: Taking taylor expansion of PI in n 70.582 * [backup-simplify]: Simplify PI into PI 70.582 * [taylor]: Taking taylor expansion of n in n 70.582 * [backup-simplify]: Simplify 0 into 0 70.582 * [backup-simplify]: Simplify 1 into 1 70.582 * [backup-simplify]: Simplify (/ PI 1) into PI 70.583 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 70.584 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 70.584 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 70.584 * [taylor]: Taking taylor expansion of (/ 1 k) in n 70.584 * [taylor]: Taking taylor expansion of k in n 70.584 * [backup-simplify]: Simplify k into k 70.584 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 70.584 * [taylor]: Taking taylor expansion of 1 in n 70.584 * [backup-simplify]: Simplify 1 into 1 70.585 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 70.585 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 70.593 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 70.594 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 70.595 * [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))))) 70.596 * [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)))))) 70.597 * [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))))))) 70.598 * [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))))))) 70.600 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 70.600 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 70.600 * [backup-simplify]: Simplify (+ 0 0) into 0 70.601 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 70.602 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 70.604 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 70.605 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (/ 1 k) 1))) into 0 70.607 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into 0 70.609 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 70.610 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into 0 70.610 * [backup-simplify]: Simplify 0 into 0 70.611 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 70.616 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 70.617 * [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)))))) 70.617 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n 70.617 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 70.617 * [taylor]: Taking taylor expansion of +nan.0 in n 70.617 * [backup-simplify]: Simplify +nan.0 into +nan.0 70.618 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 70.618 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 70.618 * [taylor]: Taking taylor expansion of 1/2 in n 70.618 * [backup-simplify]: Simplify 1/2 into 1/2 70.618 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 70.618 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 70.618 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 70.618 * [taylor]: Taking taylor expansion of -2 in n 70.618 * [backup-simplify]: Simplify -2 into -2 70.618 * [taylor]: Taking taylor expansion of (/ PI n) in n 70.618 * [taylor]: Taking taylor expansion of PI in n 70.618 * [backup-simplify]: Simplify PI into PI 70.618 * [taylor]: Taking taylor expansion of n in n 70.618 * [backup-simplify]: Simplify 0 into 0 70.618 * [backup-simplify]: Simplify 1 into 1 70.619 * [backup-simplify]: Simplify (/ PI 1) into PI 70.619 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 70.620 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 70.620 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 70.620 * [taylor]: Taking taylor expansion of (/ 1 k) in n 70.620 * [taylor]: Taking taylor expansion of k in n 70.620 * [backup-simplify]: Simplify k into k 70.620 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 70.620 * [taylor]: Taking taylor expansion of 1 in n 70.620 * [backup-simplify]: Simplify 1 into 1 70.622 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 70.622 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 70.623 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 70.624 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 70.625 * [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))))) 70.626 * [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)))))) 70.628 * [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))))))) 70.629 * [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))))))) 70.633 * [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)))))))))))) 70.633 * * * [progress]: simplifying candidates 70.633 * * * * [progress]: [ 1 / 315 ] simplifiying candidate # 70.633 * * * * [progress]: [ 2 / 315 ] simplifiying candidate # 70.633 * * * * [progress]: [ 3 / 315 ] simplifiying candidate # 70.634 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) 70.634 * * [simplify]: iters left: 6 (13 enodes) 70.641 * * [simplify]: iters left: 5 (54 enodes) 70.659 * * [simplify]: iters left: 4 (97 enodes) 70.693 * * [simplify]: iters left: 3 (252 enodes) 70.805 * * [simplify]: Extracting #0: cost 1 inf + 0 70.805 * * [simplify]: Extracting #1: cost 38 inf + 0 70.806 * * [simplify]: Extracting #2: cost 133 inf + 73 70.807 * * [simplify]: Extracting #3: cost 162 inf + 1645 70.813 * * [simplify]: Extracting #4: cost 64 inf + 21597 70.828 * * [simplify]: Extracting #5: cost 2 inf + 40621 70.843 * * [simplify]: Extracting #6: cost 0 inf + 41489 70.860 * [simplify]: Simplified to (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2) 70.860 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (exp (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2))))) 70.860 * * * * [progress]: [ 4 / 315 ] simplifiying candidate # 70.860 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) 70.860 * * [simplify]: iters left: 6 (12 enodes) 70.868 * * [simplify]: iters left: 5 (52 enodes) 70.885 * * [simplify]: iters left: 4 (90 enodes) 70.920 * * [simplify]: iters left: 3 (209 enodes) 71.023 * * [simplify]: Extracting #0: cost 1 inf + 0 71.023 * * [simplify]: Extracting #1: cost 33 inf + 0 71.024 * * [simplify]: Extracting #2: cost 117 inf + 73 71.024 * * [simplify]: Extracting #3: cost 141 inf + 1307 71.026 * * [simplify]: Extracting #4: cost 79 inf + 11364 71.030 * * [simplify]: Extracting #5: cost 30 inf + 22914 71.037 * * [simplify]: Extracting #6: cost 0 inf + 32222 71.050 * * [simplify]: Extracting #7: cost 0 inf + 32142 71.061 * [simplify]: Simplified to (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) 71.061 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (exp (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2))))) 71.062 * * * * [progress]: [ 5 / 315 ] simplifiying candidate # 71.062 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) 71.062 * * [simplify]: iters left: 6 (11 enodes) 71.068 * * [simplify]: iters left: 5 (51 enodes) 71.085 * * [simplify]: iters left: 4 (97 enodes) 71.119 * * [simplify]: iters left: 3 (203 enodes) 71.199 * * [simplify]: Extracting #0: cost 1 inf + 0 71.199 * * [simplify]: Extracting #1: cost 35 inf + 0 71.200 * * [simplify]: Extracting #2: cost 119 inf + 2 71.201 * * [simplify]: Extracting #3: cost 150 inf + 702 71.203 * * [simplify]: Extracting #4: cost 96 inf + 7237 71.210 * * [simplify]: Extracting #5: cost 29 inf + 21171 71.221 * * [simplify]: Extracting #6: cost 6 inf + 26771 71.227 * * [simplify]: Extracting #7: cost 0 inf + 28612 71.233 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) 71.233 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2))))) 71.233 * * * * [progress]: [ 6 / 315 ] simplifiying candidate # 71.233 * * * * [progress]: [ 7 / 315 ] simplifiying candidate # 71.233 * [simplify]: Simplifying (* n (* 2 PI)) 71.233 * * [simplify]: iters left: 4 (5 enodes) 71.235 * * [simplify]: iters left: 3 (19 enodes) 71.238 * * [simplify]: iters left: 2 (27 enodes) 71.242 * * [simplify]: iters left: 1 (32 enodes) 71.246 * * [simplify]: Extracting #0: cost 1 inf + 0 71.247 * * [simplify]: Extracting #1: cost 8 inf + 0 71.247 * * [simplify]: Extracting #2: cost 7 inf + 45 71.247 * * [simplify]: Extracting #3: cost 0 inf + 421 71.247 * [simplify]: Simplified to (* (* PI 2) n) 71.247 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2)))))) 71.247 * * * * [progress]: [ 8 / 315 ] simplifiying candidate # 71.247 * [simplify]: Simplifying (* n (* 2 PI)) 71.247 * * [simplify]: iters left: 4 (5 enodes) 71.249 * * [simplify]: iters left: 3 (19 enodes) 71.252 * * [simplify]: iters left: 2 (27 enodes) 71.261 * * [simplify]: iters left: 1 (32 enodes) 71.265 * * [simplify]: Extracting #0: cost 1 inf + 0 71.265 * * [simplify]: Extracting #1: cost 8 inf + 0 71.266 * * [simplify]: Extracting #2: cost 7 inf + 45 71.266 * * [simplify]: Extracting #3: cost 0 inf + 421 71.266 * [simplify]: Simplified to (* (* PI 2) n) 71.266 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2)))))) 71.266 * * * * [progress]: [ 9 / 315 ] simplifiying candidate # 71.266 * [simplify]: Simplifying (* n (* 2 PI)) 71.266 * * [simplify]: iters left: 4 (5 enodes) 71.268 * * [simplify]: iters left: 3 (19 enodes) 71.271 * * [simplify]: iters left: 2 (27 enodes) 71.275 * * [simplify]: iters left: 1 (32 enodes) 71.279 * * [simplify]: Extracting #0: cost 1 inf + 0 71.279 * * [simplify]: Extracting #1: cost 8 inf + 0 71.279 * * [simplify]: Extracting #2: cost 7 inf + 45 71.280 * * [simplify]: Extracting #3: cost 0 inf + 421 71.280 * [simplify]: Simplified to (* (* PI 2) n) 71.280 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2)))))) 71.280 * * * * [progress]: [ 10 / 315 ] simplifiying candidate # 71.280 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ k 2)) 71.280 * * [simplify]: iters left: 5 (8 enodes) 71.282 * * [simplify]: iters left: 4 (31 enodes) 71.288 * * [simplify]: iters left: 3 (51 enodes) 71.303 * * [simplify]: iters left: 2 (85 enodes) 71.332 * * [simplify]: iters left: 1 (152 enodes) 71.392 * * [simplify]: Extracting #0: cost 1 inf + 0 71.392 * * [simplify]: Extracting #1: cost 13 inf + 0 71.392 * * [simplify]: Extracting #2: cost 59 inf + 1 71.392 * * [simplify]: Extracting #3: cost 76 inf + 9 71.393 * * [simplify]: Extracting #4: cost 41 inf + 3303 71.394 * * [simplify]: Extracting #5: cost 16 inf + 10676 71.397 * * [simplify]: Extracting #6: cost 0 inf + 21028 71.400 * * [simplify]: Extracting #7: cost 0 inf + 20456 71.403 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 71.403 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (/ (pow (* n (* 2 PI)) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))))) 71.403 * * * * [progress]: [ 11 / 315 ] simplifiying candidate # 71.403 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2)) 71.403 * * [simplify]: iters left: 5 (6 enodes) 71.405 * * [simplify]: iters left: 4 (26 enodes) 71.410 * * [simplify]: iters left: 3 (35 enodes) 71.416 * * [simplify]: iters left: 2 (37 enodes) 71.424 * * [simplify]: iters left: 1 (41 enodes) 71.436 * * [simplify]: Extracting #0: cost 1 inf + 0 71.436 * * [simplify]: Extracting #1: cost 3 inf + 0 71.436 * * [simplify]: Extracting #2: cost 9 inf + 0 71.436 * * [simplify]: Extracting #3: cost 13 inf + 2 71.436 * * [simplify]: Extracting #4: cost 10 inf + 87 71.437 * * [simplify]: Extracting #5: cost 3 inf + 582 71.437 * * [simplify]: Extracting #6: cost 0 inf + 910 71.437 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2)) 71.438 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2)))))) 71.438 * * * * [progress]: [ 12 / 315 ] simplifiying candidate # 71.438 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2)) 71.438 * * [simplify]: iters left: 5 (6 enodes) 71.442 * * [simplify]: iters left: 4 (26 enodes) 71.451 * * [simplify]: iters left: 3 (35 enodes) 71.460 * * [simplify]: iters left: 2 (37 enodes) 71.466 * * [simplify]: iters left: 1 (41 enodes) 71.472 * * [simplify]: Extracting #0: cost 1 inf + 0 71.472 * * [simplify]: Extracting #1: cost 3 inf + 0 71.472 * * [simplify]: Extracting #2: cost 9 inf + 0 71.472 * * [simplify]: Extracting #3: cost 13 inf + 2 71.472 * * [simplify]: Extracting #4: cost 10 inf + 87 71.472 * * [simplify]: Extracting #5: cost 3 inf + 542 71.473 * * [simplify]: Extracting #6: cost 0 inf + 830 71.473 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2)) 71.473 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2)))))) 71.473 * * * * [progress]: [ 13 / 315 ] simplifiying candidate # 71.473 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2)) 71.473 * * [simplify]: iters left: 5 (7 enodes) 71.476 * * [simplify]: iters left: 4 (25 enodes) 71.480 * * [simplify]: iters left: 3 (30 enodes) 71.489 * * [simplify]: Extracting #0: cost 1 inf + 0 71.489 * * [simplify]: Extracting #1: cost 4 inf + 0 71.489 * * [simplify]: Extracting #2: cost 8 inf + 0 71.489 * * [simplify]: Extracting #3: cost 10 inf + 82 71.489 * * [simplify]: Extracting #4: cost 7 inf + 206 71.489 * * [simplify]: Extracting #5: cost 2 inf + 575 71.489 * * [simplify]: Extracting #6: cost 1 inf + 818 71.489 * * [simplify]: Extracting #7: cost 0 inf + 1061 71.489 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2)) 71.489 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2)))))) 71.490 * * * * [progress]: [ 14 / 315 ] simplifiying candidate # 71.490 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2)) 71.490 * * [simplify]: iters left: 5 (7 enodes) 71.492 * * [simplify]: iters left: 4 (25 enodes) 71.497 * * [simplify]: iters left: 3 (30 enodes) 71.502 * * [simplify]: Extracting #0: cost 1 inf + 0 71.502 * * [simplify]: Extracting #1: cost 4 inf + 0 71.502 * * [simplify]: Extracting #2: cost 8 inf + 0 71.502 * * [simplify]: Extracting #3: cost 10 inf + 42 71.502 * * [simplify]: Extracting #4: cost 7 inf + 126 71.502 * * [simplify]: Extracting #5: cost 2 inf + 495 71.503 * * [simplify]: Extracting #6: cost 1 inf + 698 71.503 * * [simplify]: Extracting #7: cost 0 inf + 901 71.503 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2)) 71.503 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2)))))) 71.503 * * * * [progress]: [ 15 / 315 ] simplifiying candidate # 71.503 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2) 71.503 * * [simplify]: iters left: 5 (6 enodes) 71.505 * * [simplify]: iters left: 4 (22 enodes) 71.509 * * [simplify]: iters left: 3 (27 enodes) 71.513 * * [simplify]: Extracting #0: cost 1 inf + 0 71.514 * * [simplify]: Extracting #1: cost 4 inf + 0 71.514 * * [simplify]: Extracting #2: cost 5 inf + 1 71.514 * * [simplify]: Extracting #3: cost 9 inf + 1 71.514 * * [simplify]: Extracting #4: cost 8 inf + 3 71.514 * * [simplify]: Extracting #5: cost 4 inf + 169 71.514 * * [simplify]: Extracting #6: cost 1 inf + 576 71.514 * * [simplify]: Extracting #7: cost 0 inf + 739 71.514 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 71.514 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2))))) 71.514 * * * * [progress]: [ 16 / 315 ] simplifiying candidate # 71.514 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2)) 71.515 * * [simplify]: iters left: 5 (7 enodes) 71.517 * * [simplify]: iters left: 4 (25 enodes) 71.521 * * [simplify]: iters left: 3 (30 enodes) 71.526 * * [simplify]: Extracting #0: cost 1 inf + 0 71.526 * * [simplify]: Extracting #1: cost 4 inf + 0 71.526 * * [simplify]: Extracting #2: cost 8 inf + 0 71.526 * * [simplify]: Extracting #3: cost 10 inf + 82 71.527 * * [simplify]: Extracting #4: cost 7 inf + 206 71.527 * * [simplify]: Extracting #5: cost 2 inf + 495 71.527 * * [simplify]: Extracting #6: cost 1 inf + 698 71.527 * * [simplify]: Extracting #7: cost 0 inf + 901 71.527 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2)) 71.527 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2)))))) 71.527 * * * * [progress]: [ 17 / 315 ] simplifiying candidate # 71.527 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2)) 71.527 * * [simplify]: iters left: 5 (7 enodes) 71.530 * * [simplify]: iters left: 4 (25 enodes) 71.539 * * [simplify]: iters left: 3 (30 enodes) 71.549 * * [simplify]: Extracting #0: cost 1 inf + 0 71.549 * * [simplify]: Extracting #1: cost 4 inf + 0 71.549 * * [simplify]: Extracting #2: cost 8 inf + 0 71.549 * * [simplify]: Extracting #3: cost 10 inf + 42 71.549 * * [simplify]: Extracting #4: cost 7 inf + 126 71.549 * * [simplify]: Extracting #5: cost 2 inf + 415 71.550 * * [simplify]: Extracting #6: cost 1 inf + 578 71.550 * * [simplify]: Extracting #7: cost 0 inf + 741 71.550 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2)) 71.550 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2)))))) 71.550 * * * * [progress]: [ 18 / 315 ] simplifiying candidate # 71.551 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2) 71.551 * * [simplify]: iters left: 5 (6 enodes) 71.554 * * [simplify]: iters left: 4 (22 enodes) 71.561 * * [simplify]: iters left: 3 (27 enodes) 71.570 * * [simplify]: Extracting #0: cost 1 inf + 0 71.570 * * [simplify]: Extracting #1: cost 4 inf + 0 71.570 * * [simplify]: Extracting #2: cost 5 inf + 1 71.570 * * [simplify]: Extracting #3: cost 9 inf + 1 71.570 * * [simplify]: Extracting #4: cost 8 inf + 3 71.570 * * [simplify]: Extracting #5: cost 4 inf + 169 71.570 * * [simplify]: Extracting #6: cost 1 inf + 456 71.571 * * [simplify]: Extracting #7: cost 0 inf + 579 71.571 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 71.571 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2))))) 71.571 * * * * [progress]: [ 19 / 315 ] simplifiying candidate # 71.571 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 71.571 * * [simplify]: iters left: 4 (6 enodes) 71.575 * * [simplify]: iters left: 3 (25 enodes) 71.584 * * [simplify]: iters left: 2 (36 enodes) 71.590 * * [simplify]: iters left: 1 (40 enodes) 71.600 * * [simplify]: Extracting #0: cost 1 inf + 0 71.600 * * [simplify]: Extracting #1: cost 7 inf + 0 71.600 * * [simplify]: Extracting #2: cost 16 inf + 0 71.600 * * [simplify]: Extracting #3: cost 13 inf + 44 71.600 * * [simplify]: Extracting #4: cost 3 inf + 1103 71.601 * * [simplify]: Extracting #5: cost 0 inf + 1469 71.601 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 71.601 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2)))))) 71.601 * * * * [progress]: [ 20 / 315 ] simplifiying candidate # 71.601 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 71.601 * * [simplify]: iters left: 4 (6 enodes) 71.603 * * [simplify]: iters left: 3 (25 enodes) 71.608 * * [simplify]: iters left: 2 (36 enodes) 71.615 * * [simplify]: iters left: 1 (40 enodes) 71.625 * * [simplify]: Extracting #0: cost 1 inf + 0 71.625 * * [simplify]: Extracting #1: cost 7 inf + 0 71.625 * * [simplify]: Extracting #2: cost 16 inf + 0 71.625 * * [simplify]: Extracting #3: cost 13 inf + 44 71.626 * * [simplify]: Extracting #4: cost 3 inf + 823 71.626 * * [simplify]: Extracting #5: cost 0 inf + 1069 71.627 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 71.627 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2)))))) 71.627 * * * * [progress]: [ 21 / 315 ] simplifiying candidate # 71.627 * [simplify]: Simplifying (/ (- 1 k) 2) 71.627 * * [simplify]: iters left: 4 (5 enodes) 71.631 * * [simplify]: iters left: 3 (23 enodes) 71.639 * * [simplify]: iters left: 2 (32 enodes) 71.649 * * [simplify]: iters left: 1 (34 enodes) 71.659 * * [simplify]: Extracting #0: cost 1 inf + 0 71.659 * * [simplify]: Extracting #1: cost 7 inf + 0 71.659 * * [simplify]: Extracting #2: cost 11 inf + 2 71.660 * * [simplify]: Extracting #3: cost 10 inf + 4 71.660 * * [simplify]: Extracting #4: cost 4 inf + 337 71.660 * * [simplify]: Extracting #5: cost 0 inf + 584 71.661 * [simplify]: Simplified to (/ (- 1 k) 2) 71.661 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2))))) 71.661 * * * * [progress]: [ 22 / 315 ] simplifiying candidate # 71.661 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 71.661 * * [simplify]: iters left: 5 (8 enodes) 71.666 * * [simplify]: iters left: 4 (31 enodes) 71.677 * * [simplify]: iters left: 3 (45 enodes) 71.690 * * [simplify]: iters left: 2 (52 enodes) 71.703 * * [simplify]: iters left: 1 (53 enodes) 71.711 * * [simplify]: Extracting #0: cost 1 inf + 0 71.711 * * [simplify]: Extracting #1: cost 8 inf + 0 71.711 * * [simplify]: Extracting #2: cost 18 inf + 0 71.711 * * [simplify]: Extracting #3: cost 19 inf + 2 71.711 * * [simplify]: Extracting #4: cost 9 inf + 977 71.712 * * [simplify]: Extracting #5: cost 2 inf + 1790 71.712 * * [simplify]: Extracting #6: cost 0 inf + 2195 71.712 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 71.712 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2)))))) 71.713 * * * * [progress]: [ 23 / 315 ] simplifiying candidate # 71.713 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 71.713 * * [simplify]: iters left: 5 (8 enodes) 71.715 * * [simplify]: iters left: 4 (31 enodes) 71.721 * * [simplify]: iters left: 3 (45 enodes) 71.734 * * [simplify]: iters left: 2 (52 enodes) 71.750 * * [simplify]: iters left: 1 (53 enodes) 71.764 * * [simplify]: Extracting #0: cost 1 inf + 0 71.764 * * [simplify]: Extracting #1: cost 8 inf + 0 71.764 * * [simplify]: Extracting #2: cost 18 inf + 0 71.764 * * [simplify]: Extracting #3: cost 19 inf + 2 71.764 * * [simplify]: Extracting #4: cost 9 inf + 697 71.765 * * [simplify]: Extracting #5: cost 2 inf + 1390 71.766 * * [simplify]: Extracting #6: cost 0 inf + 1715 71.766 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 71.766 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2)))))) 71.767 * * * * [progress]: [ 24 / 315 ] simplifiying candidate # 71.767 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 71.767 * * [simplify]: iters left: 5 (7 enodes) 71.772 * * [simplify]: iters left: 4 (29 enodes) 71.782 * * [simplify]: iters left: 3 (43 enodes) 71.793 * * [simplify]: iters left: 2 (48 enodes) 71.806 * * [simplify]: Extracting #0: cost 1 inf + 0 71.806 * * [simplify]: Extracting #1: cost 7 inf + 0 71.806 * * [simplify]: Extracting #2: cost 11 inf + 2 71.806 * * [simplify]: Extracting #3: cost 13 inf + 3 71.806 * * [simplify]: Extracting #4: cost 11 inf + 45 71.807 * * [simplify]: Extracting #5: cost 0 inf + 1066 71.807 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 71.807 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) 71.807 * * * * [progress]: [ 25 / 315 ] simplifiying candidate # 71.808 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 71.808 * * [simplify]: iters left: 5 (7 enodes) 71.812 * * [simplify]: iters left: 4 (28 enodes) 71.819 * * [simplify]: iters left: 3 (39 enodes) 71.826 * * [simplify]: iters left: 2 (43 enodes) 71.833 * * [simplify]: Extracting #0: cost 1 inf + 0 71.833 * * [simplify]: Extracting #1: cost 7 inf + 0 71.833 * * [simplify]: Extracting #2: cost 16 inf + 0 71.833 * * [simplify]: Extracting #3: cost 15 inf + 164 71.833 * * [simplify]: Extracting #4: cost 13 inf + 287 71.833 * * [simplify]: Extracting #5: cost 5 inf + 1180 71.833 * * [simplify]: Extracting #6: cost 0 inf + 1951 71.834 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 71.834 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2)))))) 71.834 * * * * [progress]: [ 26 / 315 ] simplifiying candidate # 71.834 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 71.834 * * [simplify]: iters left: 5 (7 enodes) 71.837 * * [simplify]: iters left: 4 (28 enodes) 71.842 * * [simplify]: iters left: 3 (39 enodes) 71.851 * * [simplify]: iters left: 2 (43 enodes) 71.868 * * [simplify]: Extracting #0: cost 1 inf + 0 71.868 * * [simplify]: Extracting #1: cost 7 inf + 0 71.868 * * [simplify]: Extracting #2: cost 16 inf + 0 71.868 * * [simplify]: Extracting #3: cost 15 inf + 84 71.868 * * [simplify]: Extracting #4: cost 13 inf + 167 71.869 * * [simplify]: Extracting #5: cost 5 inf + 900 71.869 * * [simplify]: Extracting #6: cost 0 inf + 1551 71.870 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 71.870 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2)))))) 71.870 * * * * [progress]: [ 27 / 315 ] simplifiying candidate # 71.870 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 71.871 * * [simplify]: iters left: 5 (6 enodes) 71.874 * * [simplify]: iters left: 4 (26 enodes) 71.883 * * [simplify]: iters left: 3 (35 enodes) 71.894 * * [simplify]: iters left: 2 (37 enodes) 71.905 * * [simplify]: iters left: 1 (41 enodes) 71.918 * * [simplify]: Extracting #0: cost 1 inf + 0 71.918 * * [simplify]: Extracting #1: cost 7 inf + 0 71.918 * * [simplify]: Extracting #2: cost 11 inf + 2 71.918 * * [simplify]: Extracting #3: cost 13 inf + 3 71.918 * * [simplify]: Extracting #4: cost 12 inf + 4 71.918 * * [simplify]: Extracting #5: cost 6 inf + 412 71.918 * * [simplify]: Extracting #6: cost 2 inf + 821 71.919 * * [simplify]: Extracting #7: cost 0 inf + 1066 71.919 * [simplify]: Simplified to (- 1/2 (/ (sqrt k) 2)) 71.919 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (- 1/2 (/ (sqrt k) 2)))))) 71.920 * * * * [progress]: [ 28 / 315 ] simplifiying candidate # 71.920 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 71.920 * * [simplify]: iters left: 4 (6 enodes) 71.924 * * [simplify]: iters left: 3 (25 enodes) 71.933 * * [simplify]: iters left: 2 (36 enodes) 71.944 * * [simplify]: iters left: 1 (40 enodes) 71.957 * * [simplify]: Extracting #0: cost 1 inf + 0 71.957 * * [simplify]: Extracting #1: cost 7 inf + 0 71.957 * * [simplify]: Extracting #2: cost 16 inf + 0 71.957 * * [simplify]: Extracting #3: cost 13 inf + 44 71.958 * * [simplify]: Extracting #4: cost 3 inf + 1103 71.958 * * [simplify]: Extracting #5: cost 0 inf + 1469 71.958 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 71.959 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2)))))) 71.959 * * * * [progress]: [ 29 / 315 ] simplifiying candidate # 71.959 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 71.959 * * [simplify]: iters left: 4 (6 enodes) 71.963 * * [simplify]: iters left: 3 (25 enodes) 71.972 * * [simplify]: iters left: 2 (36 enodes) 71.983 * * [simplify]: iters left: 1 (40 enodes) 71.994 * * [simplify]: Extracting #0: cost 1 inf + 0 71.994 * * [simplify]: Extracting #1: cost 7 inf + 0 71.994 * * [simplify]: Extracting #2: cost 16 inf + 0 71.994 * * [simplify]: Extracting #3: cost 13 inf + 44 71.995 * * [simplify]: Extracting #4: cost 3 inf + 823 71.995 * * [simplify]: Extracting #5: cost 0 inf + 1069 71.995 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 71.995 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2)))))) 71.995 * * * * [progress]: [ 30 / 315 ] simplifiying candidate # 71.995 * [simplify]: Simplifying (/ (- 1 k) 2) 71.995 * * [simplify]: iters left: 4 (5 enodes) 71.997 * * [simplify]: iters left: 3 (23 enodes) 72.002 * * [simplify]: iters left: 2 (32 enodes) 72.010 * * [simplify]: iters left: 1 (34 enodes) 72.015 * * [simplify]: Extracting #0: cost 1 inf + 0 72.015 * * [simplify]: Extracting #1: cost 7 inf + 0 72.015 * * [simplify]: Extracting #2: cost 11 inf + 2 72.015 * * [simplify]: Extracting #3: cost 10 inf + 4 72.015 * * [simplify]: Extracting #4: cost 4 inf + 337 72.015 * * [simplify]: Extracting #5: cost 0 inf + 584 72.016 * [simplify]: Simplified to (/ (- 1 k) 2) 72.016 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2))))) 72.016 * * * * [progress]: [ 31 / 315 ] simplifiying candidate # 72.016 * [simplify]: Simplifying (/ (- 1 k) 2) 72.016 * * [simplify]: iters left: 4 (5 enodes) 72.018 * * [simplify]: iters left: 3 (23 enodes) 72.023 * * [simplify]: iters left: 2 (32 enodes) 72.032 * * [simplify]: iters left: 1 (34 enodes) 72.043 * * [simplify]: Extracting #0: cost 1 inf + 0 72.043 * * [simplify]: Extracting #1: cost 7 inf + 0 72.043 * * [simplify]: Extracting #2: cost 11 inf + 2 72.043 * * [simplify]: Extracting #3: cost 10 inf + 4 72.043 * * [simplify]: Extracting #4: cost 4 inf + 337 72.044 * * [simplify]: Extracting #5: cost 0 inf + 584 72.044 * [simplify]: Simplified to (/ (- 1 k) 2) 72.044 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2))))) 72.044 * * * * [progress]: [ 32 / 315 ] simplifiying candidate # 72.045 * [simplify]: Simplifying (/ 1 2) 72.045 * * [simplify]: iters left: 2 (3 enodes) 72.048 * * [simplify]: iters left: 1 (12 enodes) 72.051 * * [simplify]: Extracting #0: cost 1 inf + 0 72.051 * * [simplify]: Extracting #1: cost 0 inf + 1 72.051 * [simplify]: Simplified to 1/2 72.051 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (- 1 k)) 1/2)))) 72.051 * * * * [progress]: [ 33 / 315 ] simplifiying candidate # 72.051 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 72.051 * * [simplify]: iters left: 5 (7 enodes) 72.053 * * [simplify]: iters left: 4 (32 enodes) 72.059 * * [simplify]: iters left: 3 (57 enodes) 72.070 * * [simplify]: iters left: 2 (90 enodes) 72.095 * * [simplify]: iters left: 1 (170 enodes) 72.146 * * [simplify]: Extracting #0: cost 1 inf + 0 72.146 * * [simplify]: Extracting #1: cost 13 inf + 0 72.146 * * [simplify]: Extracting #2: cost 54 inf + 2 72.147 * * [simplify]: Extracting #3: cost 89 inf + 6 72.147 * * [simplify]: Extracting #4: cost 78 inf + 1344 72.149 * * [simplify]: Extracting #5: cost 20 inf + 14664 72.152 * * [simplify]: Extracting #6: cost 1 inf + 22045 72.156 * * [simplify]: Extracting #7: cost 0 inf + 21300 72.161 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 72.161 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 72.161 * * * * [progress]: [ 34 / 315 ] simplifiying candidate # 72.161 * * * * [progress]: [ 35 / 315 ] simplifiying candidate # 72.161 * * * * [progress]: [ 36 / 315 ] simplifiying candidate # 72.161 * * * * [progress]: [ 37 / 315 ] simplifiying candidate # 72.161 * * * * [progress]: [ 38 / 315 ] simplifiying candidate # 72.161 * * * * [progress]: [ 39 / 315 ] simplifiying candidate # 72.161 * * * * [progress]: [ 40 / 315 ] simplifiying candidate # 72.161 * * * * [progress]: [ 41 / 315 ] simplifiying candidate # 72.161 * * * * [progress]: [ 42 / 315 ] simplifiying candidate #real (real->posit16 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))> 72.161 * * * * [progress]: [ 43 / 315 ] simplifiying candidate # 72.161 * * * * [progress]: [ 44 / 315 ] simplifiying candidate # 72.161 * * * * [progress]: [ 45 / 315 ] simplifiying candidate # 72.162 * [simplify]: Simplifying (* n (* 2 PI)) 72.162 * * [simplify]: iters left: 4 (5 enodes) 72.163 * * [simplify]: iters left: 3 (19 enodes) 72.167 * * [simplify]: iters left: 2 (27 enodes) 72.172 * * [simplify]: iters left: 1 (32 enodes) 72.181 * * [simplify]: Extracting #0: cost 1 inf + 0 72.181 * * [simplify]: Extracting #1: cost 8 inf + 0 72.181 * * [simplify]: Extracting #2: cost 7 inf + 45 72.181 * * [simplify]: Extracting #3: cost 0 inf + 421 72.182 * [simplify]: Simplified to (* (* PI 2) n) 72.182 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2))))) 72.182 * * * * [progress]: [ 46 / 315 ] simplifiying candidate # 72.182 * [simplify]: Simplifying (* n (* 2 PI)) 72.182 * * [simplify]: iters left: 4 (5 enodes) 72.185 * * [simplify]: iters left: 3 (19 enodes) 72.191 * * [simplify]: iters left: 2 (27 enodes) 72.199 * * [simplify]: iters left: 1 (32 enodes) 72.207 * * [simplify]: Extracting #0: cost 1 inf + 0 72.207 * * [simplify]: Extracting #1: cost 8 inf + 0 72.207 * * [simplify]: Extracting #2: cost 7 inf + 45 72.207 * * [simplify]: Extracting #3: cost 0 inf + 421 72.207 * [simplify]: Simplified to (* (* PI 2) n) 72.207 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2))))) 72.207 * * * * [progress]: [ 47 / 315 ] simplifiying candidate # 72.207 * * * * [progress]: [ 48 / 315 ] simplifiying candidate # 72.208 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI))) 72.208 * * [simplify]: iters left: 5 (8 enodes) 72.210 * * [simplify]: iters left: 4 (28 enodes) 72.215 * * [simplify]: iters left: 3 (36 enodes) 72.224 * * [simplify]: iters left: 2 (42 enodes) 72.231 * * [simplify]: Extracting #0: cost 1 inf + 0 72.231 * * [simplify]: Extracting #1: cost 8 inf + 0 72.231 * * [simplify]: Extracting #2: cost 17 inf + 0 72.231 * * [simplify]: Extracting #3: cost 12 inf + 145 72.231 * * [simplify]: Extracting #4: cost 5 inf + 1197 72.231 * * [simplify]: Extracting #5: cost 1 inf + 1925 72.232 * * [simplify]: Extracting #6: cost 0 inf + 2107 72.232 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI))) 72.232 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (- 1 k) 2))))) 72.232 * * * * [progress]: [ 49 / 315 ] simplifiying candidate # 72.232 * [simplify]: Simplifying (+ (log n) (log (* 2 PI))) 72.232 * * [simplify]: iters left: 5 (7 enodes) 72.236 * * [simplify]: iters left: 4 (26 enodes) 72.241 * * [simplify]: iters left: 3 (35 enodes) 72.246 * * [simplify]: iters left: 2 (44 enodes) 72.253 * * [simplify]: Extracting #0: cost 1 inf + 0 72.253 * * [simplify]: Extracting #1: cost 8 inf + 0 72.253 * * [simplify]: Extracting #2: cost 18 inf + 0 72.253 * * [simplify]: Extracting #3: cost 15 inf + 74 72.253 * * [simplify]: Extracting #4: cost 8 inf + 554 72.253 * * [simplify]: Extracting #5: cost 0 inf + 1911 72.254 * [simplify]: Simplified to (+ (log n) (log (* 2 PI))) 72.254 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (exp (+ (log n) (log (* 2 PI)))) (/ (- 1 k) 2))))) 72.254 * * * * [progress]: [ 50 / 315 ] simplifiying candidate # 72.254 * * * * [progress]: [ 51 / 315 ] simplifiying candidate # 72.254 * * * * [progress]: [ 52 / 315 ] simplifiying candidate # 72.254 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI))) 72.254 * * [simplify]: iters left: 6 (11 enodes) 72.259 * * [simplify]: iters left: 5 (48 enodes) 72.271 * * [simplify]: iters left: 4 (121 enodes) 72.310 * * [simplify]: iters left: 3 (348 enodes) 72.567 * * [simplify]: Extracting #0: cost 1 inf + 0 72.567 * * [simplify]: Extracting #1: cost 67 inf + 0 72.568 * * [simplify]: Extracting #2: cost 165 inf + 786 72.574 * * [simplify]: Extracting #3: cost 81 inf + 10746 72.586 * * [simplify]: Extracting #4: cost 9 inf + 26018 72.604 * * [simplify]: Extracting #5: cost 0 inf + 28546 72.611 * * [simplify]: Extracting #6: cost 0 inf + 28506 72.617 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI)) 72.617 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (cbrt (* (* (* (* n PI) (* n PI)) 8) (* n PI))) (/ (- 1 k) 2))))) 72.618 * * * * [progress]: [ 53 / 315 ] simplifiying candidate # 72.618 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI))) 72.618 * * [simplify]: iters left: 6 (9 enodes) 72.622 * * [simplify]: iters left: 5 (45 enodes) 72.632 * * [simplify]: iters left: 4 (117 enodes) 72.666 * * [simplify]: iters left: 3 (377 enodes) 73.307 * * [simplify]: Extracting #0: cost 1 inf + 0 73.308 * * [simplify]: Extracting #1: cost 79 inf + 0 73.310 * * [simplify]: Extracting #2: cost 191 inf + 659 73.318 * * [simplify]: Extracting #3: cost 100 inf + 13238 73.332 * * [simplify]: Extracting #4: cost 6 inf + 31685 73.342 * * [simplify]: Extracting #5: cost 0 inf + 32539 73.351 * [simplify]: Simplified to (* (* 2 (* PI n)) (* (* 2 (* PI n)) (* 2 (* PI n)))) 73.351 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (cbrt (* (* 2 (* PI n)) (* (* 2 (* PI n)) (* 2 (* PI n))))) (/ (- 1 k) 2))))) 73.351 * * * * [progress]: [ 54 / 315 ] simplifiying candidate # 73.351 * * * * [progress]: [ 55 / 315 ] simplifiying candidate # 73.351 * * * * [progress]: [ 56 / 315 ] simplifiying candidate # 73.351 * * * * [progress]: [ 57 / 315 ] simplifiying candidate # 73.351 * * * * [progress]: [ 58 / 315 ] simplifiying candidate # 73.351 * * * * [progress]: [ 59 / 315 ] simplifiying candidate # 73.351 * [simplify]: Simplifying (* (cbrt n) (cbrt n)) 73.351 * * [simplify]: iters left: 3 (3 enodes) 73.352 * * [simplify]: iters left: 2 (9 enodes) 73.354 * * [simplify]: Extracting #0: cost 1 inf + 0 73.354 * * [simplify]: Extracting #1: cost 3 inf + 0 73.354 * * [simplify]: Extracting #2: cost 5 inf + 0 73.354 * * [simplify]: Extracting #3: cost 4 inf + 1 73.354 * * [simplify]: Extracting #4: cost 0 inf + 405 73.354 * [simplify]: Simplified to (* (cbrt n) (cbrt n)) 73.354 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (- 1 k) 2))))) 73.354 * * * * [progress]: [ 60 / 315 ] simplifiying candidate # 73.354 * [simplify]: Simplifying (sqrt n) 73.354 * * [simplify]: iters left: 1 (2 enodes) 73.355 * * [simplify]: Extracting #0: cost 1 inf + 0 73.355 * * [simplify]: Extracting #1: cost 3 inf + 0 73.355 * * [simplify]: Extracting #2: cost 2 inf + 1 73.355 * * [simplify]: Extracting #3: cost 0 inf + 83 73.355 * [simplify]: Simplified to (sqrt n) 73.355 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (- 1 k) 2))))) 73.355 * * * * [progress]: [ 61 / 315 ] simplifiying candidate # 73.355 * * * * [progress]: [ 62 / 315 ] simplifiying candidate #real (real->posit16 (* n (* 2 PI)))) (/ (- 1 k) 2)))))> 73.355 * * * * [progress]: [ 63 / 315 ] simplifiying candidate # 73.355 * * * * [progress]: [ 64 / 315 ] simplifiying candidate # 73.355 * * * * [progress]: [ 65 / 315 ] simplifiying candidate # 73.355 * * * * [progress]: [ 66 / 315 ] simplifiying candidate # 73.355 * * * * [progress]: [ 67 / 315 ] simplifiying candidate # 73.355 * [simplify]: Simplifying (- (log (sqrt k)) (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2))) 73.355 * * [simplify]: iters left: 6 (16 enodes) 73.362 * * [simplify]: iters left: 5 (65 enodes) 73.385 * * [simplify]: iters left: 4 (119 enodes) 73.441 * * [simplify]: iters left: 3 (369 enodes) 73.589 * * [simplify]: Extracting #0: cost 1 inf + 0 73.589 * * [simplify]: Extracting #1: cost 33 inf + 0 73.590 * * [simplify]: Extracting #2: cost 155 inf + 0 73.590 * * [simplify]: Extracting #3: cost 253 inf + 76 73.593 * * [simplify]: Extracting #4: cost 234 inf + 13450 73.603 * * [simplify]: Extracting #5: cost 49 inf + 61911 73.617 * * [simplify]: Extracting #6: cost 0 inf + 75799 73.643 * * [simplify]: Extracting #7: cost 0 inf + 75759 73.675 * [simplify]: Simplified to (- (log (sqrt k)) (/ (- 1 k) (/ 2 (+ (log n) (+ (log PI) (log 2)))))) 73.675 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (/ (- 1 k) (/ 2 (+ (log n) (+ (log PI) (log 2))))))))) 73.676 * * * * [progress]: [ 68 / 315 ] simplifiying candidate # 73.676 * [simplify]: Simplifying (- (log (sqrt k)) (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2))) 73.676 * * [simplify]: iters left: 6 (15 enodes) 73.685 * * [simplify]: iters left: 5 (63 enodes) 73.706 * * [simplify]: iters left: 4 (112 enodes) 73.750 * * [simplify]: iters left: 3 (299 enodes) 73.896 * * [simplify]: Extracting #0: cost 1 inf + 0 73.896 * * [simplify]: Extracting #1: cost 29 inf + 0 73.897 * * [simplify]: Extracting #2: cost 132 inf + 0 73.898 * * [simplify]: Extracting #3: cost 228 inf + 5 73.902 * * [simplify]: Extracting #4: cost 222 inf + 6843 73.915 * * [simplify]: Extracting #5: cost 61 inf + 41866 73.927 * * [simplify]: Extracting #6: cost 0 inf + 59800 73.939 * * [simplify]: Extracting #7: cost 0 inf + 59799 73.951 * [simplify]: Simplified to (- (log (sqrt k)) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))) 73.951 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))))) 73.951 * * * * [progress]: [ 69 / 315 ] simplifiying candidate # 73.951 * [simplify]: Simplifying (- (log (sqrt k)) (* (log (* n (* 2 PI))) (/ (- 1 k) 2))) 73.951 * * [simplify]: iters left: 6 (14 enodes) 73.955 * * [simplify]: iters left: 5 (62 enodes) 73.967 * * [simplify]: iters left: 4 (119 enodes) 74.012 * * [simplify]: iters left: 3 (279 enodes) 74.108 * * [simplify]: Extracting #0: cost 1 inf + 0 74.108 * * [simplify]: Extracting #1: cost 19 inf + 0 74.109 * * [simplify]: Extracting #2: cost 117 inf + 0 74.109 * * [simplify]: Extracting #3: cost 210 inf + 5 74.111 * * [simplify]: Extracting #4: cost 199 inf + 6063 74.117 * * [simplify]: Extracting #5: cost 56 inf + 34203 74.127 * * [simplify]: Extracting #6: cost 1 inf + 47262 74.137 * * [simplify]: Extracting #7: cost 0 inf + 47316 74.147 * [simplify]: Simplified to (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI))))) 74.148 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI)))))))) 74.148 * * * * [progress]: [ 70 / 315 ] simplifiying candidate # 74.148 * [simplify]: Simplifying (- (log (sqrt k)) (* (log (* n (* 2 PI))) (/ (- 1 k) 2))) 74.148 * * [simplify]: iters left: 6 (14 enodes) 74.152 * * [simplify]: iters left: 5 (62 enodes) 74.167 * * [simplify]: iters left: 4 (119 enodes) 74.208 * * [simplify]: iters left: 3 (279 enodes) 74.336 * * [simplify]: Extracting #0: cost 1 inf + 0 74.336 * * [simplify]: Extracting #1: cost 19 inf + 0 74.337 * * [simplify]: Extracting #2: cost 117 inf + 0 74.338 * * [simplify]: Extracting #3: cost 210 inf + 5 74.341 * * [simplify]: Extracting #4: cost 199 inf + 6063 74.349 * * [simplify]: Extracting #5: cost 56 inf + 34203 74.358 * * [simplify]: Extracting #6: cost 1 inf + 47262 74.369 * * [simplify]: Extracting #7: cost 0 inf + 47316 74.382 * [simplify]: Simplified to (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI))))) 74.382 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI)))))))) 74.382 * * * * [progress]: [ 71 / 315 ] simplifiying candidate # 74.383 * [simplify]: Simplifying (- (log (sqrt k)) (log (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 74.383 * * [simplify]: iters left: 6 (14 enodes) 74.389 * * [simplify]: iters left: 5 (61 enodes) 74.410 * * [simplify]: iters left: 4 (111 enodes) 74.449 * * [simplify]: iters left: 3 (253 enodes) 74.577 * * [simplify]: Extracting #0: cost 1 inf + 0 74.577 * * [simplify]: Extracting #1: cost 23 inf + 0 74.578 * * [simplify]: Extracting #2: cost 144 inf + 0 74.579 * * [simplify]: Extracting #3: cost 235 inf + 186 74.582 * * [simplify]: Extracting #4: cost 239 inf + 4569 74.591 * * [simplify]: Extracting #5: cost 66 inf + 38761 74.602 * * [simplify]: Extracting #6: cost 1 inf + 57073 74.612 * * [simplify]: Extracting #7: cost 0 inf + 57289 74.627 * * [simplify]: Extracting #8: cost 0 inf + 57209 74.649 * [simplify]: Simplified to (- (log (sqrt k)) (/ (* (log (* n (* 2 PI))) (- 1 k)) 2)) 74.649 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (/ (* (log (* n (* 2 PI))) (- 1 k)) 2))))) 74.649 * * * * [progress]: [ 72 / 315 ] simplifiying candidate # 74.649 * * * * [progress]: [ 73 / 315 ] simplifiying candidate # 74.649 * * * * [progress]: [ 74 / 315 ] simplifiying candidate # 74.649 * [simplify]: Simplifying (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 74.649 * * [simplify]: iters left: 6 (16 enodes) 74.654 * * [simplify]: iters left: 5 (72 enodes) 74.668 * * [simplify]: iters left: 4 (163 enodes) 74.739 * * [simplify]: iters left: 3 (441 enodes) 74.956 * * [simplify]: Extracting #0: cost 1 inf + 0 74.956 * * [simplify]: Extracting #1: cost 115 inf + 0 74.957 * * [simplify]: Extracting #2: cost 332 inf + 123 74.959 * * [simplify]: Extracting #3: cost 400 inf + 248 74.961 * * [simplify]: Extracting #4: cost 382 inf + 1789 74.977 * * [simplify]: Extracting #5: cost 292 inf + 41978 75.004 * * [simplify]: Extracting #6: cost 49 inf + 216261 75.070 * * [simplify]: Extracting #7: cost 0 inf + 251360 75.140 * * [simplify]: Extracting #8: cost 0 inf + 248520 75.193 * * [simplify]: Extracting #9: cost 0 inf + 248430 75.239 * [simplify]: Simplified to (* (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (/ (/ k (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 75.239 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (cbrt (* (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (/ (/ k (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))) 75.239 * * * * [progress]: [ 75 / 315 ] simplifiying candidate # 75.240 * * * * [progress]: [ 76 / 315 ] simplifiying candidate # 75.240 * * * * [progress]: [ 77 / 315 ] simplifiying candidate # 75.240 * * * * [progress]: [ 78 / 315 ] simplifiying candidate # 75.240 * * * * [progress]: [ 79 / 315 ] simplifiying candidate # 75.240 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2))) 75.240 * * [simplify]: iters left: 6 (11 enodes) 75.244 * * [simplify]: iters left: 5 (46 enodes) 75.252 * * [simplify]: iters left: 4 (76 enodes) 75.268 * * [simplify]: iters left: 3 (138 enodes) 75.325 * * [simplify]: iters left: 2 (303 enodes) 75.437 * * [simplify]: Extracting #0: cost 1 inf + 0 75.437 * * [simplify]: Extracting #1: cost 42 inf + 0 75.438 * * [simplify]: Extracting #2: cost 137 inf + 0 75.439 * * [simplify]: Extracting #3: cost 197 inf + 3 75.441 * * [simplify]: Extracting #4: cost 180 inf + 3065 75.445 * * [simplify]: Extracting #5: cost 135 inf + 13092 75.464 * * [simplify]: Extracting #6: cost 41 inf + 64637 75.489 * * [simplify]: Extracting #7: cost 1 inf + 96977 75.503 * * [simplify]: Extracting #8: cost 0 inf + 97722 75.516 * [simplify]: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2))) 75.516 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 75.516 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) 75.516 * * [simplify]: iters left: 6 (11 enodes) 75.520 * * [simplify]: iters left: 5 (45 enodes) 75.534 * * [simplify]: iters left: 4 (68 enodes) 75.558 * * [simplify]: iters left: 3 (110 enodes) 75.587 * * [simplify]: iters left: 2 (217 enodes) 75.636 * * [simplify]: iters left: 1 (411 enodes) 75.814 * * [simplify]: Extracting #0: cost 1 inf + 0 75.814 * * [simplify]: Extracting #1: cost 6 inf + 0 75.814 * * [simplify]: Extracting #2: cost 44 inf + 0 75.815 * * [simplify]: Extracting #3: cost 139 inf + 1 75.817 * * [simplify]: Extracting #4: cost 197 inf + 501 75.821 * * [simplify]: Extracting #5: cost 139 inf + 13850 75.840 * * [simplify]: Extracting #6: cost 13 inf + 69901 75.860 * * [simplify]: Extracting #7: cost 0 inf + 77133 75.871 * * [simplify]: Extracting #8: cost 0 inf + 77132 75.885 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))) 75.885 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k))))))) 75.885 * * * * [progress]: [ 80 / 315 ] simplifiying candidate # 75.886 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 75.886 * * [simplify]: iters left: 6 (16 enodes) 75.890 * * [simplify]: iters left: 5 (69 enodes) 75.902 * * [simplify]: iters left: 4 (113 enodes) 75.921 * * [simplify]: iters left: 3 (163 enodes) 75.975 * * [simplify]: iters left: 2 (267 enodes) 76.052 * * [simplify]: iters left: 1 (447 enodes) 76.226 * * [simplify]: Extracting #0: cost 1 inf + 0 76.226 * * [simplify]: Extracting #1: cost 11 inf + 0 76.226 * * [simplify]: Extracting #2: cost 22 inf + 0 76.226 * * [simplify]: Extracting #3: cost 51 inf + 0 76.227 * * [simplify]: Extracting #4: cost 134 inf + 43 76.229 * * [simplify]: Extracting #5: cost 188 inf + 499 76.231 * * [simplify]: Extracting #6: cost 165 inf + 2854 76.237 * * [simplify]: Extracting #7: cost 87 inf + 17105 76.253 * * [simplify]: Extracting #8: cost 23 inf + 57905 76.276 * * [simplify]: Extracting #9: cost 0 inf + 76079 76.299 * * [simplify]: Extracting #10: cost 0 inf + 75826 76.323 * * [simplify]: Extracting #11: cost 0 inf + 75090 76.344 * [simplify]: Simplified to (* (/ (cbrt (sqrt k)) (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))))) 76.344 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (/ (cbrt (sqrt k)) (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 76.344 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 76.344 * * [simplify]: iters left: 6 (14 enodes) 76.349 * * [simplify]: iters left: 5 (57 enodes) 76.359 * * [simplify]: iters left: 4 (90 enodes) 76.383 * * [simplify]: iters left: 3 (128 enodes) 76.419 * * [simplify]: iters left: 2 (208 enodes) 76.468 * * [simplify]: iters left: 1 (391 enodes) 76.622 * * [simplify]: Extracting #0: cost 1 inf + 0 76.622 * * [simplify]: Extracting #1: cost 4 inf + 0 76.623 * * [simplify]: Extracting #2: cost 8 inf + 0 76.623 * * [simplify]: Extracting #3: cost 39 inf + 0 76.623 * * [simplify]: Extracting #4: cost 119 inf + 43 76.625 * * [simplify]: Extracting #5: cost 173 inf + 422 76.628 * * [simplify]: Extracting #6: cost 120 inf + 9999 76.638 * * [simplify]: Extracting #7: cost 48 inf + 33554 76.656 * * [simplify]: Extracting #8: cost 5 inf + 65518 76.675 * * [simplify]: Extracting #9: cost 0 inf + 69206 76.694 * * [simplify]: Extracting #10: cost 0 inf + 68784 76.704 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 76.704 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))))))) 76.704 * * * * [progress]: [ 81 / 315 ] simplifiying candidate # 76.704 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 76.705 * * [simplify]: iters left: 6 (15 enodes) 76.709 * * [simplify]: iters left: 5 (62 enodes) 76.720 * * [simplify]: iters left: 4 (96 enodes) 76.739 * * [simplify]: iters left: 3 (142 enodes) 76.780 * * [simplify]: iters left: 2 (240 enodes) 76.840 * * [simplify]: iters left: 1 (417 enodes) 76.977 * * [simplify]: Extracting #0: cost 1 inf + 0 76.977 * * [simplify]: Extracting #1: cost 7 inf + 0 76.977 * * [simplify]: Extracting #2: cost 15 inf + 0 76.978 * * [simplify]: Extracting #3: cost 51 inf + 0 76.978 * * [simplify]: Extracting #4: cost 142 inf + 84 76.980 * * [simplify]: Extracting #5: cost 178 inf + 916 76.985 * * [simplify]: Extracting #6: cost 94 inf + 20014 76.997 * * [simplify]: Extracting #7: cost 17 inf + 64293 77.009 * * [simplify]: Extracting #8: cost 0 inf + 78448 77.020 * * [simplify]: Extracting #9: cost 0 inf + 76551 77.045 * * [simplify]: Extracting #10: cost 0 inf + 74724 77.072 * * [simplify]: Extracting #11: cost 0 inf + 74493 77.098 * [simplify]: Simplified to (* (/ (cbrt (sqrt k)) (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) (cbrt (sqrt k))) 77.099 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (/ (cbrt (sqrt k)) (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 77.099 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 77.099 * * [simplify]: iters left: 6 (14 enodes) 77.107 * * [simplify]: iters left: 5 (57 enodes) 77.128 * * [simplify]: iters left: 4 (91 enodes) 77.152 * * [simplify]: iters left: 3 (129 enodes) 77.176 * * [simplify]: iters left: 2 (209 enodes) 77.226 * * [simplify]: iters left: 1 (390 enodes) 77.368 * * [simplify]: Extracting #0: cost 1 inf + 0 77.368 * * [simplify]: Extracting #1: cost 4 inf + 0 77.368 * * [simplify]: Extracting #2: cost 9 inf + 0 77.368 * * [simplify]: Extracting #3: cost 43 inf + 0 77.368 * * [simplify]: Extracting #4: cost 133 inf + 43 77.369 * * [simplify]: Extracting #5: cost 162 inf + 507 77.371 * * [simplify]: Extracting #6: cost 106 inf + 8294 77.375 * * [simplify]: Extracting #7: cost 58 inf + 18708 77.389 * * [simplify]: Extracting #8: cost 12 inf + 55991 77.400 * * [simplify]: Extracting #9: cost 0 inf + 65622 77.410 * * [simplify]: Extracting #10: cost 0 inf + 65122 77.421 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))) 77.421 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* (* n PI) 2) (/ (- 1 k) 2))))))) 77.422 * * * * [progress]: [ 82 / 315 ] simplifiying candidate # 77.422 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 77.422 * * [simplify]: iters left: 6 (6 enodes) 77.424 * * [simplify]: iters left: 5 (20 enodes) 77.429 * * [simplify]: iters left: 4 (30 enodes) 77.438 * * [simplify]: iters left: 3 (31 enodes) 77.446 * * [simplify]: Extracting #0: cost 1 inf + 0 77.446 * * [simplify]: Extracting #1: cost 5 inf + 0 77.446 * * [simplify]: Extracting #2: cost 7 inf + 1 77.446 * * [simplify]: Extracting #3: cost 9 inf + 1 77.446 * * [simplify]: Extracting #4: cost 8 inf + 2 77.447 * * [simplify]: Extracting #5: cost 0 inf + 972 77.447 * [simplify]: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 77.447 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 77.447 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 77.447 * * [simplify]: iters left: 6 (13 enodes) 77.452 * * [simplify]: iters left: 5 (54 enodes) 77.461 * * [simplify]: iters left: 4 (85 enodes) 77.476 * * [simplify]: iters left: 3 (129 enodes) 77.518 * * [simplify]: iters left: 2 (231 enodes) 77.600 * * [simplify]: iters left: 1 (416 enodes) 77.771 * * [simplify]: Extracting #0: cost 1 inf + 0 77.771 * * [simplify]: Extracting #1: cost 6 inf + 0 77.772 * * [simplify]: Extracting #2: cost 45 inf + 0 77.772 * * [simplify]: Extracting #3: cost 142 inf + 1 77.774 * * [simplify]: Extracting #4: cost 182 inf + 627 77.776 * * [simplify]: Extracting #5: cost 151 inf + 3732 77.783 * * [simplify]: Extracting #6: cost 87 inf + 15045 77.799 * * [simplify]: Extracting #7: cost 20 inf + 66391 77.818 * * [simplify]: Extracting #8: cost 0 inf + 81206 77.832 * * [simplify]: Extracting #9: cost 0 inf + 80431 77.846 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))) 77.846 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) 77.847 * * * * [progress]: [ 83 / 315 ] simplifiying candidate # 77.847 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 77.847 * * [simplify]: iters left: 6 (15 enodes) 77.856 * * [simplify]: iters left: 5 (65 enodes) 77.879 * * [simplify]: iters left: 4 (107 enodes) 77.915 * * [simplify]: iters left: 3 (179 enodes) 77.966 * * [simplify]: iters left: 2 (351 enodes) 78.064 * * [simplify]: Extracting #0: cost 1 inf + 0 78.064 * * [simplify]: Extracting #1: cost 43 inf + 0 78.065 * * [simplify]: Extracting #2: cost 138 inf + 0 78.065 * * [simplify]: Extracting #3: cost 205 inf + 2 78.067 * * [simplify]: Extracting #4: cost 180 inf + 8167 78.075 * * [simplify]: Extracting #5: cost 69 inf + 63989 78.098 * * [simplify]: Extracting #6: cost 0 inf + 111221 78.133 * * [simplify]: Extracting #7: cost 0 inf + 109284 78.166 * [simplify]: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))) 78.166 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 78.167 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 78.167 * * [simplify]: iters left: 6 (14 enodes) 78.175 * * [simplify]: iters left: 5 (60 enodes) 78.187 * * [simplify]: iters left: 4 (98 enodes) 78.206 * * [simplify]: iters left: 3 (157 enodes) 78.264 * * [simplify]: iters left: 2 (285 enodes) 78.327 * * [simplify]: Extracting #0: cost 1 inf + 0 78.327 * * [simplify]: Extracting #1: cost 6 inf + 0 78.328 * * [simplify]: Extracting #2: cost 26 inf + 0 78.328 * * [simplify]: Extracting #3: cost 95 inf + 1 78.328 * * [simplify]: Extracting #4: cost 120 inf + 383 78.330 * * [simplify]: Extracting #5: cost 76 inf + 6022 78.333 * * [simplify]: Extracting #6: cost 27 inf + 18199 78.339 * * [simplify]: Extracting #7: cost 13 inf + 26669 78.345 * * [simplify]: Extracting #8: cost 0 inf + 37231 78.355 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/4 (/ k 4)))) 78.355 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/4 (/ k 4))))))) 78.356 * * * * [progress]: [ 84 / 315 ] simplifiying candidate # 78.356 * [simplify]: Simplifying (/ (sqrt (* (cbrt k) (cbrt k))) (pow n (/ (- 1 k) 2))) 78.356 * * [simplify]: iters left: 6 (11 enodes) 78.363 * * [simplify]: iters left: 5 (45 enodes) 78.378 * * [simplify]: iters left: 4 (72 enodes) 78.392 * * [simplify]: iters left: 3 (113 enodes) 78.414 * * [simplify]: iters left: 2 (204 enodes) 78.465 * * [simplify]: iters left: 1 (395 enodes) 78.649 * * [simplify]: Extracting #0: cost 1 inf + 0 78.649 * * [simplify]: Extracting #1: cost 6 inf + 0 78.649 * * [simplify]: Extracting #2: cost 40 inf + 0 78.650 * * [simplify]: Extracting #3: cost 136 inf + 2 78.650 * * [simplify]: Extracting #4: cost 178 inf + 1913 78.653 * * [simplify]: Extracting #5: cost 121 inf + 15617 78.660 * * [simplify]: Extracting #6: cost 22 inf + 57967 78.672 * * [simplify]: Extracting #7: cost 0 inf + 65639 78.694 * * [simplify]: Extracting #8: cost 0 inf + 64517 78.718 * * [simplify]: Extracting #9: cost 0 inf + 60709 78.744 * * [simplify]: Extracting #10: cost 0 inf + 60147 78.772 * [simplify]: Simplified to (/ (fabs (cbrt k)) (pow n (/ (- 1 k) 2))) 78.772 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (fabs (cbrt k)) (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 78.773 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) 78.773 * * [simplify]: iters left: 6 (11 enodes) 78.779 * * [simplify]: iters left: 5 (45 enodes) 78.794 * * [simplify]: iters left: 4 (68 enodes) 78.818 * * [simplify]: iters left: 3 (110 enodes) 78.860 * * [simplify]: iters left: 2 (217 enodes) 78.946 * * [simplify]: iters left: 1 (411 enodes) 79.112 * * [simplify]: Extracting #0: cost 1 inf + 0 79.112 * * [simplify]: Extracting #1: cost 6 inf + 0 79.112 * * [simplify]: Extracting #2: cost 44 inf + 0 79.113 * * [simplify]: Extracting #3: cost 139 inf + 1 79.114 * * [simplify]: Extracting #4: cost 197 inf + 581 79.118 * * [simplify]: Extracting #5: cost 139 inf + 13930 79.137 * * [simplify]: Extracting #6: cost 13 inf + 69981 79.158 * * [simplify]: Extracting #7: cost 0 inf + 77213 79.174 * * [simplify]: Extracting #8: cost 0 inf + 77212 79.185 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))) 79.185 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (fabs (cbrt k)) (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow (* 2 PI) (* 1/2 (- 1 k))))))) 79.186 * * * * [progress]: [ 85 / 315 ] simplifiying candidate # 79.186 * [simplify]: Simplifying (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 79.186 * * [simplify]: iters left: 6 (16 enodes) 79.190 * * [simplify]: iters left: 5 (66 enodes) 79.201 * * [simplify]: iters left: 4 (97 enodes) 79.232 * * [simplify]: iters left: 3 (140 enodes) 79.259 * * [simplify]: iters left: 2 (241 enodes) 79.330 * * [simplify]: iters left: 1 (410 enodes) 79.510 * * [simplify]: Extracting #0: cost 1 inf + 0 79.510 * * [simplify]: Extracting #1: cost 6 inf + 0 79.510 * * [simplify]: Extracting #2: cost 13 inf + 0 79.510 * * [simplify]: Extracting #3: cost 41 inf + 0 79.511 * * [simplify]: Extracting #4: cost 118 inf + 83 79.512 * * [simplify]: Extracting #5: cost 171 inf + 664 79.515 * * [simplify]: Extracting #6: cost 137 inf + 6891 79.523 * * [simplify]: Extracting #7: cost 66 inf + 21885 79.540 * * [simplify]: Extracting #8: cost 10 inf + 56502 79.566 * * [simplify]: Extracting #9: cost 0 inf + 66651 79.587 * * [simplify]: Extracting #10: cost 0 inf + 66318 79.609 * [simplify]: Simplified to (/ (fabs (cbrt k)) (* (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))))) 79.609 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (fabs (cbrt k)) (* (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))))) (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 79.609 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 79.610 * * [simplify]: iters left: 6 (14 enodes) 79.618 * * [simplify]: iters left: 5 (57 enodes) 79.638 * * [simplify]: iters left: 4 (90 enodes) 79.667 * * [simplify]: iters left: 3 (128 enodes) 79.713 * * [simplify]: iters left: 2 (208 enodes) 79.792 * * [simplify]: iters left: 1 (391 enodes) 79.970 * * [simplify]: Extracting #0: cost 1 inf + 0 79.970 * * [simplify]: Extracting #1: cost 4 inf + 0 79.970 * * [simplify]: Extracting #2: cost 8 inf + 0 79.970 * * [simplify]: Extracting #3: cost 39 inf + 0 79.970 * * [simplify]: Extracting #4: cost 119 inf + 83 79.971 * * [simplify]: Extracting #5: cost 173 inf + 502 79.973 * * [simplify]: Extracting #6: cost 120 inf + 10079 79.978 * * [simplify]: Extracting #7: cost 48 inf + 33634 79.987 * * [simplify]: Extracting #8: cost 5 inf + 65598 79.997 * * [simplify]: Extracting #9: cost 0 inf + 69286 80.007 * * [simplify]: Extracting #10: cost 0 inf + 68864 80.020 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 80.020 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (cbrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))))))) 80.020 * * * * [progress]: [ 86 / 315 ] simplifiying candidate # 80.020 * [simplify]: Simplifying (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 80.020 * * [simplify]: iters left: 6 (15 enodes) 80.025 * * [simplify]: iters left: 5 (61 enodes) 80.035 * * [simplify]: iters left: 4 (91 enodes) 80.057 * * [simplify]: iters left: 3 (131 enodes) 80.088 * * [simplify]: iters left: 2 (227 enodes) 80.142 * * [simplify]: iters left: 1 (404 enodes) 80.308 * * [simplify]: Extracting #0: cost 1 inf + 0 80.308 * * [simplify]: Extracting #1: cost 4 inf + 0 80.308 * * [simplify]: Extracting #2: cost 10 inf + 0 80.308 * * [simplify]: Extracting #3: cost 42 inf + 0 80.309 * * [simplify]: Extracting #4: cost 128 inf + 83 80.310 * * [simplify]: Extracting #5: cost 174 inf + 706 80.313 * * [simplify]: Extracting #6: cost 123 inf + 6532 80.317 * * [simplify]: Extracting #7: cost 61 inf + 19207 80.324 * * [simplify]: Extracting #8: cost 16 inf + 53226 80.336 * * [simplify]: Extracting #9: cost 0 inf + 65559 80.347 * * [simplify]: Extracting #10: cost 0 inf + 65427 80.359 * [simplify]: Simplified to (/ (fabs (cbrt k)) (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) 80.359 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (fabs (cbrt k)) (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 80.359 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 80.359 * * [simplify]: iters left: 6 (14 enodes) 80.363 * * [simplify]: iters left: 5 (57 enodes) 80.374 * * [simplify]: iters left: 4 (91 enodes) 80.392 * * [simplify]: iters left: 3 (129 enodes) 80.416 * * [simplify]: iters left: 2 (209 enodes) 80.473 * * [simplify]: iters left: 1 (390 enodes) 80.662 * * [simplify]: Extracting #0: cost 1 inf + 0 80.662 * * [simplify]: Extracting #1: cost 4 inf + 0 80.662 * * [simplify]: Extracting #2: cost 9 inf + 0 80.662 * * [simplify]: Extracting #3: cost 43 inf + 0 80.663 * * [simplify]: Extracting #4: cost 133 inf + 83 80.664 * * [simplify]: Extracting #5: cost 162 inf + 587 80.668 * * [simplify]: Extracting #6: cost 106 inf + 8374 80.676 * * [simplify]: Extracting #7: cost 58 inf + 18788 80.692 * * [simplify]: Extracting #8: cost 12 inf + 56071 80.717 * * [simplify]: Extracting #9: cost 0 inf + 65702 80.733 * * [simplify]: Extracting #10: cost 0 inf + 65202 80.744 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (sqrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))) 80.744 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (sqrt (cbrt k)) (sqrt (pow (* (* n PI) 2) (/ (- 1 k) 2))))))) 80.744 * * * * [progress]: [ 87 / 315 ] simplifiying candidate # 80.744 * [simplify]: Simplifying (/ (sqrt (* (cbrt k) (cbrt k))) 1) 80.744 * * [simplify]: iters left: 6 (6 enodes) 80.746 * * [simplify]: iters left: 5 (19 enodes) 80.750 * * [simplify]: iters left: 4 (23 enodes) 80.753 * * [simplify]: Extracting #0: cost 1 inf + 0 80.753 * * [simplify]: Extracting #1: cost 5 inf + 0 80.753 * * [simplify]: Extracting #2: cost 7 inf + 1 80.753 * * [simplify]: Extracting #3: cost 6 inf + 2 80.753 * * [simplify]: Extracting #4: cost 0 inf + 648 80.754 * [simplify]: Simplified to (fabs (cbrt k)) 80.754 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (fabs (cbrt k)) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 80.754 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 80.754 * * [simplify]: iters left: 6 (13 enodes) 80.758 * * [simplify]: iters left: 5 (54 enodes) 80.778 * * [simplify]: iters left: 4 (85 enodes) 80.806 * * [simplify]: iters left: 3 (129 enodes) 80.852 * * [simplify]: iters left: 2 (231 enodes) 80.909 * * [simplify]: iters left: 1 (416 enodes) 81.065 * * [simplify]: Extracting #0: cost 1 inf + 0 81.065 * * [simplify]: Extracting #1: cost 6 inf + 0 81.065 * * [simplify]: Extracting #2: cost 45 inf + 0 81.066 * * [simplify]: Extracting #3: cost 142 inf + 1 81.068 * * [simplify]: Extracting #4: cost 182 inf + 707 81.071 * * [simplify]: Extracting #5: cost 151 inf + 3812 81.077 * * [simplify]: Extracting #6: cost 87 inf + 15125 81.093 * * [simplify]: Extracting #7: cost 20 inf + 66471 81.117 * * [simplify]: Extracting #8: cost 0 inf + 81286 81.148 * * [simplify]: Extracting #9: cost 0 inf + 80511 81.166 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))) 81.166 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (fabs (cbrt k)) (/ (sqrt (cbrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) 81.166 * * * * [progress]: [ 88 / 315 ] simplifiying candidate # 81.166 * [simplify]: Simplifying (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 81.166 * * [simplify]: iters left: 6 (15 enodes) 81.171 * * [simplify]: iters left: 5 (64 enodes) 81.183 * * [simplify]: iters left: 4 (102 enodes) 81.204 * * [simplify]: iters left: 3 (161 enodes) 81.253 * * [simplify]: iters left: 2 (285 enodes) 81.343 * * [simplify]: Extracting #0: cost 1 inf + 0 81.343 * * [simplify]: Extracting #1: cost 6 inf + 0 81.343 * * [simplify]: Extracting #2: cost 27 inf + 0 81.344 * * [simplify]: Extracting #3: cost 97 inf + 1 81.344 * * [simplify]: Extracting #4: cost 121 inf + 586 81.345 * * [simplify]: Extracting #5: cost 78 inf + 5334 81.348 * * [simplify]: Extracting #6: cost 26 inf + 18881 81.355 * * [simplify]: Extracting #7: cost 2 inf + 34992 81.361 * * [simplify]: Extracting #8: cost 0 inf + 35740 81.368 * [simplify]: Simplified to (/ (fabs (cbrt k)) (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))) 81.368 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (fabs (cbrt k)) (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 81.368 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 81.368 * * [simplify]: iters left: 6 (14 enodes) 81.377 * * [simplify]: iters left: 5 (60 enodes) 81.395 * * [simplify]: iters left: 4 (98 enodes) 81.414 * * [simplify]: iters left: 3 (157 enodes) 81.451 * * [simplify]: iters left: 2 (285 enodes) 81.549 * * [simplify]: Extracting #0: cost 1 inf + 0 81.549 * * [simplify]: Extracting #1: cost 6 inf + 0 81.549 * * [simplify]: Extracting #2: cost 26 inf + 0 81.549 * * [simplify]: Extracting #3: cost 95 inf + 1 81.550 * * [simplify]: Extracting #4: cost 120 inf + 423 81.553 * * [simplify]: Extracting #5: cost 76 inf + 6102 81.558 * * [simplify]: Extracting #6: cost 27 inf + 18279 81.567 * * [simplify]: Extracting #7: cost 13 inf + 26749 81.578 * * [simplify]: Extracting #8: cost 0 inf + 37311 81.593 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (- 1/4 (/ k 4)))) 81.593 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (- 1/4 (/ k 4))))))) 81.593 * * * * [progress]: [ 89 / 315 ] simplifiying candidate # 81.594 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2))) 81.594 * * [simplify]: iters left: 6 (10 enodes) 81.600 * * [simplify]: iters left: 5 (41 enodes) 81.614 * * [simplify]: iters left: 4 (64 enodes) 81.638 * * [simplify]: iters left: 3 (106 enodes) 81.662 * * [simplify]: iters left: 2 (210 enodes) 81.729 * * [simplify]: iters left: 1 (398 enodes) 81.892 * * [simplify]: Extracting #0: cost 1 inf + 0 81.892 * * [simplify]: Extracting #1: cost 6 inf + 0 81.893 * * [simplify]: Extracting #2: cost 43 inf + 0 81.893 * * [simplify]: Extracting #3: cost 133 inf + 2 81.895 * * [simplify]: Extracting #4: cost 184 inf + 297 81.897 * * [simplify]: Extracting #5: cost 162 inf + 3276 81.904 * * [simplify]: Extracting #6: cost 81 inf + 17919 81.912 * * [simplify]: Extracting #7: cost 9 inf + 64899 81.923 * * [simplify]: Extracting #8: cost 0 inf + 71161 81.942 * * [simplify]: Extracting #9: cost 0 inf + 69048 81.965 * * [simplify]: Extracting #10: cost 0 inf + 68060 81.987 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2))) 81.987 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 81.988 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) 81.988 * * [simplify]: iters left: 6 (11 enodes) 81.995 * * [simplify]: iters left: 5 (45 enodes) 82.010 * * [simplify]: iters left: 4 (68 enodes) 82.021 * * [simplify]: iters left: 3 (110 enodes) 82.052 * * [simplify]: iters left: 2 (217 enodes) 82.111 * * [simplify]: iters left: 1 (411 enodes) 82.242 * * [simplify]: Extracting #0: cost 1 inf + 0 82.242 * * [simplify]: Extracting #1: cost 6 inf + 0 82.243 * * [simplify]: Extracting #2: cost 44 inf + 0 82.243 * * [simplify]: Extracting #3: cost 139 inf + 1 82.245 * * [simplify]: Extracting #4: cost 197 inf + 421 82.249 * * [simplify]: Extracting #5: cost 139 inf + 13650 82.267 * * [simplify]: Extracting #6: cost 13 inf + 69021 82.292 * * [simplify]: Extracting #7: cost 0 inf + 76213 82.314 * * [simplify]: Extracting #8: cost 0 inf + 76212 82.336 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))) 82.336 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k))))))) 82.336 * * * * [progress]: [ 90 / 315 ] simplifiying candidate # 82.336 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 82.337 * * [simplify]: iters left: 6 (15 enodes) 82.345 * * [simplify]: iters left: 5 (62 enodes) 82.365 * * [simplify]: iters left: 4 (93 enodes) 82.392 * * [simplify]: iters left: 3 (133 enodes) 82.421 * * [simplify]: iters left: 2 (229 enodes) 82.494 * * [simplify]: iters left: 1 (408 enodes) 82.700 * * [simplify]: Extracting #0: cost 1 inf + 0 82.700 * * [simplify]: Extracting #1: cost 6 inf + 0 82.700 * * [simplify]: Extracting #2: cost 12 inf + 0 82.700 * * [simplify]: Extracting #3: cost 39 inf + 0 82.701 * * [simplify]: Extracting #4: cost 113 inf + 84 82.702 * * [simplify]: Extracting #5: cost 174 inf + 382 82.705 * * [simplify]: Extracting #6: cost 147 inf + 3660 82.712 * * [simplify]: Extracting #7: cost 73 inf + 16366 82.725 * * [simplify]: Extracting #8: cost 21 inf + 47328 82.747 * * [simplify]: Extracting #9: cost 1 inf + 64296 82.769 * * [simplify]: Extracting #10: cost 0 inf + 64844 82.794 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) 82.794 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 82.795 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 82.795 * * [simplify]: iters left: 6 (14 enodes) 82.803 * * [simplify]: iters left: 5 (57 enodes) 82.822 * * [simplify]: iters left: 4 (90 enodes) 82.852 * * [simplify]: iters left: 3 (128 enodes) 82.895 * * [simplify]: iters left: 2 (208 enodes) 82.953 * * [simplify]: iters left: 1 (391 enodes) 83.116 * * [simplify]: Extracting #0: cost 1 inf + 0 83.116 * * [simplify]: Extracting #1: cost 4 inf + 0 83.116 * * [simplify]: Extracting #2: cost 8 inf + 0 83.116 * * [simplify]: Extracting #3: cost 39 inf + 0 83.117 * * [simplify]: Extracting #4: cost 119 inf + 43 83.118 * * [simplify]: Extracting #5: cost 173 inf + 382 83.121 * * [simplify]: Extracting #6: cost 120 inf + 9839 83.131 * * [simplify]: Extracting #7: cost 48 inf + 33394 83.145 * * [simplify]: Extracting #8: cost 5 inf + 65358 83.156 * * [simplify]: Extracting #9: cost 0 inf + 69046 83.167 * * [simplify]: Extracting #10: cost 0 inf + 68624 83.185 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 83.185 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))))))) 83.185 * * * * [progress]: [ 91 / 315 ] simplifiying candidate # 83.185 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 83.186 * * [simplify]: iters left: 6 (14 enodes) 83.193 * * [simplify]: iters left: 5 (57 enodes) 83.206 * * [simplify]: iters left: 4 (91 enodes) 83.224 * * [simplify]: iters left: 3 (129 enodes) 83.267 * * [simplify]: iters left: 2 (209 enodes) 83.319 * * [simplify]: iters left: 1 (390 enodes) 83.515 * * [simplify]: Extracting #0: cost 1 inf + 0 83.515 * * [simplify]: Extracting #1: cost 4 inf + 0 83.515 * * [simplify]: Extracting #2: cost 9 inf + 0 83.515 * * [simplify]: Extracting #3: cost 43 inf + 0 83.516 * * [simplify]: Extracting #4: cost 133 inf + 43 83.517 * * [simplify]: Extracting #5: cost 162 inf + 467 83.521 * * [simplify]: Extracting #6: cost 106 inf + 8214 83.529 * * [simplify]: Extracting #7: cost 58 inf + 18548 83.546 * * [simplify]: Extracting #8: cost 12 inf + 55831 83.561 * * [simplify]: Extracting #9: cost 0 inf + 65462 83.571 * * [simplify]: Extracting #10: cost 0 inf + 64962 83.582 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))) 83.583 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 83.583 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 83.583 * * [simplify]: iters left: 6 (14 enodes) 83.591 * * [simplify]: iters left: 5 (57 enodes) 83.610 * * [simplify]: iters left: 4 (91 enodes) 83.630 * * [simplify]: iters left: 3 (129 enodes) 83.658 * * [simplify]: iters left: 2 (209 enodes) 83.742 * * [simplify]: iters left: 1 (390 enodes) 83.953 * * [simplify]: Extracting #0: cost 1 inf + 0 83.953 * * [simplify]: Extracting #1: cost 4 inf + 0 83.954 * * [simplify]: Extracting #2: cost 9 inf + 0 83.954 * * [simplify]: Extracting #3: cost 43 inf + 0 83.954 * * [simplify]: Extracting #4: cost 133 inf + 43 83.955 * * [simplify]: Extracting #5: cost 162 inf + 467 83.957 * * [simplify]: Extracting #6: cost 106 inf + 8214 83.961 * * [simplify]: Extracting #7: cost 58 inf + 18548 83.969 * * [simplify]: Extracting #8: cost 12 inf + 55831 83.991 * * [simplify]: Extracting #9: cost 0 inf + 65462 84.011 * * [simplify]: Extracting #10: cost 0 inf + 64962 84.032 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))) 84.032 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* (* n PI) 2) (/ (- 1 k) 2))))))) 84.033 * * * * [progress]: [ 92 / 315 ] simplifiying candidate # 84.033 * [simplify]: Simplifying (/ (sqrt (sqrt k)) 1) 84.033 * * [simplify]: iters left: 4 (5 enodes) 84.036 * * [simplify]: iters left: 3 (15 enodes) 84.040 * * [simplify]: iters left: 2 (17 enodes) 84.050 * * [simplify]: iters left: 1 (19 enodes) 84.055 * * [simplify]: Extracting #0: cost 1 inf + 0 84.055 * * [simplify]: Extracting #1: cost 4 inf + 0 84.056 * * [simplify]: Extracting #2: cost 5 inf + 1 84.056 * * [simplify]: Extracting #3: cost 4 inf + 2 84.056 * * [simplify]: Extracting #4: cost 1 inf + 165 84.056 * * [simplify]: Extracting #5: cost 0 inf + 246 84.056 * [simplify]: Simplified to (sqrt (sqrt k)) 84.056 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 84.056 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 84.057 * * [simplify]: iters left: 6 (13 enodes) 84.063 * * [simplify]: iters left: 5 (54 enodes) 84.082 * * [simplify]: iters left: 4 (85 enodes) 84.110 * * [simplify]: iters left: 3 (129 enodes) 84.158 * * [simplify]: iters left: 2 (231 enodes) 84.245 * * [simplify]: iters left: 1 (416 enodes) 84.385 * * [simplify]: Extracting #0: cost 1 inf + 0 84.385 * * [simplify]: Extracting #1: cost 6 inf + 0 84.385 * * [simplify]: Extracting #2: cost 45 inf + 0 84.386 * * [simplify]: Extracting #3: cost 142 inf + 1 84.387 * * [simplify]: Extracting #4: cost 182 inf + 547 84.390 * * [simplify]: Extracting #5: cost 151 inf + 3652 84.396 * * [simplify]: Extracting #6: cost 87 inf + 14805 84.412 * * [simplify]: Extracting #7: cost 20 inf + 65591 84.436 * * [simplify]: Extracting #8: cost 0 inf + 80286 84.462 * * [simplify]: Extracting #9: cost 0 inf + 79511 84.488 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))) 84.488 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) 84.488 * * * * [progress]: [ 93 / 315 ] simplifiying candidate # 84.489 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 84.489 * * [simplify]: iters left: 6 (14 enodes) 84.496 * * [simplify]: iters left: 5 (60 enodes) 84.512 * * [simplify]: iters left: 4 (98 enodes) 84.531 * * [simplify]: iters left: 3 (157 enodes) 84.589 * * [simplify]: iters left: 2 (285 enodes) 84.671 * * [simplify]: Extracting #0: cost 1 inf + 0 84.671 * * [simplify]: Extracting #1: cost 6 inf + 0 84.671 * * [simplify]: Extracting #2: cost 26 inf + 0 84.672 * * [simplify]: Extracting #3: cost 95 inf + 1 84.672 * * [simplify]: Extracting #4: cost 120 inf + 343 84.675 * * [simplify]: Extracting #5: cost 76 inf + 5942 84.679 * * [simplify]: Extracting #6: cost 27 inf + 17799 84.683 * * [simplify]: Extracting #7: cost 13 inf + 26109 84.688 * * [simplify]: Extracting #8: cost 0 inf + 36631 84.694 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/4 (/ k 4)))) 84.694 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/4 (/ k 4)))) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 84.695 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 84.695 * * [simplify]: iters left: 6 (14 enodes) 84.699 * * [simplify]: iters left: 5 (60 enodes) 84.710 * * [simplify]: iters left: 4 (98 enodes) 84.731 * * [simplify]: iters left: 3 (157 enodes) 84.761 * * [simplify]: iters left: 2 (285 enodes) 84.846 * * [simplify]: Extracting #0: cost 1 inf + 0 84.846 * * [simplify]: Extracting #1: cost 6 inf + 0 84.846 * * [simplify]: Extracting #2: cost 26 inf + 0 84.846 * * [simplify]: Extracting #3: cost 95 inf + 1 84.847 * * [simplify]: Extracting #4: cost 120 inf + 343 84.848 * * [simplify]: Extracting #5: cost 76 inf + 5942 84.851 * * [simplify]: Extracting #6: cost 27 inf + 17799 84.855 * * [simplify]: Extracting #7: cost 13 inf + 26109 84.860 * * [simplify]: Extracting #8: cost 0 inf + 36631 84.866 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/4 (/ k 4)))) 84.866 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/4 (/ k 4))))))) 84.866 * * * * [progress]: [ 94 / 315 ] simplifiying candidate # 84.866 * [simplify]: Simplifying (/ (sqrt 1) (pow n (/ (- 1 k) 2))) 84.866 * * [simplify]: iters left: 6 (9 enodes) 84.870 * * [simplify]: iters left: 5 (38 enodes) 84.883 * * [simplify]: iters left: 4 (61 enodes) 84.904 * * [simplify]: iters left: 3 (103 enodes) 84.949 * * [simplify]: iters left: 2 (207 enodes) 85.002 * * [simplify]: iters left: 1 (398 enodes) 85.154 * * [simplify]: Extracting #0: cost 1 inf + 0 85.154 * * [simplify]: Extracting #1: cost 6 inf + 0 85.154 * * [simplify]: Extracting #2: cost 44 inf + 1 85.154 * * [simplify]: Extracting #3: cost 145 inf + 3 85.155 * * [simplify]: Extracting #4: cost 202 inf + 10 85.156 * * [simplify]: Extracting #5: cost 176 inf + 2667 85.159 * * [simplify]: Extracting #6: cost 111 inf + 11235 85.165 * * [simplify]: Extracting #7: cost 47 inf + 45665 85.177 * * [simplify]: Extracting #8: cost 0 inf + 82339 85.200 * * [simplify]: Extracting #9: cost 0 inf + 78789 85.229 * * [simplify]: Extracting #10: cost 0 inf + 77401 85.253 * * [simplify]: Extracting #11: cost 0 inf + 76654 85.279 * * [simplify]: Extracting #12: cost 0 inf + 76563 85.306 * [simplify]: Simplified to (/ 1 (pow n (- 1/2 (/ k 2)))) 85.306 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 85.306 * [simplify]: Simplifying (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))) 85.306 * * [simplify]: iters left: 6 (10 enodes) 85.311 * * [simplify]: iters left: 5 (42 enodes) 85.319 * * [simplify]: iters left: 4 (65 enodes) 85.330 * * [simplify]: iters left: 3 (104 enodes) 85.363 * * [simplify]: iters left: 2 (206 enodes) 85.443 * * [simplify]: iters left: 1 (399 enodes) 85.591 * * [simplify]: Extracting #0: cost 1 inf + 0 85.591 * * [simplify]: Extracting #1: cost 6 inf + 0 85.591 * * [simplify]: Extracting #2: cost 45 inf + 0 85.592 * * [simplify]: Extracting #3: cost 135 inf + 84 85.593 * * [simplify]: Extracting #4: cost 184 inf + 1422 85.595 * * [simplify]: Extracting #5: cost 131 inf + 10060 85.601 * * [simplify]: Extracting #6: cost 42 inf + 47603 85.612 * * [simplify]: Extracting #7: cost 0 inf + 78607 85.629 * * [simplify]: Extracting #8: cost 0 inf + 76794 85.655 * * [simplify]: Extracting #9: cost 0 inf + 76381 85.675 * [simplify]: Simplified to (/ (sqrt k) (pow (* 2 PI) (* 1/2 (- 1 k)))) 85.675 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt 1) (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (* 1/2 (- 1 k))))))) 85.675 * * * * [progress]: [ 95 / 315 ] simplifiying candidate # 85.676 * [simplify]: Simplifying (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 85.676 * * [simplify]: iters left: 6 (14 enodes) 85.685 * * [simplify]: iters left: 5 (59 enodes) 85.705 * * [simplify]: iters left: 4 (97 enodes) 85.737 * * [simplify]: iters left: 3 (138 enodes) 85.776 * * [simplify]: iters left: 2 (218 enodes) 85.822 * * [simplify]: iters left: 1 (401 enodes) 85.993 * * [simplify]: Extracting #0: cost 1 inf + 0 85.993 * * [simplify]: Extracting #1: cost 7 inf + 0 85.993 * * [simplify]: Extracting #2: cost 11 inf + 1 85.993 * * [simplify]: Extracting #3: cost 38 inf + 1 85.994 * * [simplify]: Extracting #4: cost 109 inf + 2 85.995 * * [simplify]: Extracting #5: cost 168 inf + 218 85.997 * * [simplify]: Extracting #6: cost 168 inf + 726 86.001 * * [simplify]: Extracting #7: cost 100 inf + 8303 86.007 * * [simplify]: Extracting #8: cost 26 inf + 44860 86.017 * * [simplify]: Extracting #9: cost 0 inf + 65256 86.028 * * [simplify]: Extracting #10: cost 0 inf + 64861 86.040 * * [simplify]: Extracting #11: cost 0 inf + 64730 86.063 * [simplify]: Simplified to (/ (/ 1 (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 86.064 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (/ 1 (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 86.064 * [simplify]: Simplifying (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 86.064 * * [simplify]: iters left: 6 (13 enodes) 86.071 * * [simplify]: iters left: 5 (54 enodes) 86.090 * * [simplify]: iters left: 4 (87 enodes) 86.108 * * [simplify]: iters left: 3 (129 enodes) 86.133 * * [simplify]: iters left: 2 (210 enodes) 86.199 * * [simplify]: iters left: 1 (393 enodes) 86.370 * * [simplify]: Extracting #0: cost 1 inf + 0 86.371 * * [simplify]: Extracting #1: cost 4 inf + 0 86.371 * * [simplify]: Extracting #2: cost 8 inf + 0 86.371 * * [simplify]: Extracting #3: cost 33 inf + 1 86.371 * * [simplify]: Extracting #4: cost 113 inf + 43 86.372 * * [simplify]: Extracting #5: cost 161 inf + 301 86.373 * * [simplify]: Extracting #6: cost 120 inf + 6257 86.377 * * [simplify]: Extracting #7: cost 56 inf + 23489 86.396 * * [simplify]: Extracting #8: cost 6 inf + 58636 86.415 * * [simplify]: Extracting #9: cost 0 inf + 63414 86.435 * * [simplify]: Extracting #10: cost 0 inf + 62992 86.455 * [simplify]: Simplified to (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 86.456 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (/ 1 (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 86.456 * * * * [progress]: [ 96 / 315 ] simplifiying candidate # 86.456 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 86.456 * * [simplify]: iters left: 6 (13 enodes) 86.464 * * [simplify]: iters left: 5 (54 enodes) 86.482 * * [simplify]: iters left: 4 (88 enodes) 86.514 * * [simplify]: iters left: 3 (126 enodes) 86.557 * * [simplify]: iters left: 2 (206 enodes) 86.619 * * [simplify]: iters left: 1 (396 enodes) 86.795 * * [simplify]: Extracting #0: cost 1 inf + 0 86.795 * * [simplify]: Extracting #1: cost 4 inf + 0 86.795 * * [simplify]: Extracting #2: cost 6 inf + 1 86.795 * * [simplify]: Extracting #3: cost 37 inf + 1 86.795 * * [simplify]: Extracting #4: cost 127 inf + 2 86.796 * * [simplify]: Extracting #5: cost 163 inf + 177 86.797 * * [simplify]: Extracting #6: cost 165 inf + 392 86.798 * * [simplify]: Extracting #7: cost 132 inf + 3043 86.801 * * [simplify]: Extracting #8: cost 68 inf + 14956 86.807 * * [simplify]: Extracting #9: cost 30 inf + 38628 86.825 * * [simplify]: Extracting #10: cost 0 inf + 64183 86.841 * * [simplify]: Extracting #11: cost 0 inf + 63670 86.852 * [simplify]: Simplified to (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 86.852 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 86.852 * [simplify]: Simplifying (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 86.852 * * [simplify]: iters left: 6 (13 enodes) 86.857 * * [simplify]: iters left: 5 (54 enodes) 86.869 * * [simplify]: iters left: 4 (88 enodes) 86.885 * * [simplify]: iters left: 3 (126 enodes) 86.913 * * [simplify]: iters left: 2 (206 enodes) 86.988 * * [simplify]: iters left: 1 (396 enodes) 87.175 * * [simplify]: Extracting #0: cost 1 inf + 0 87.175 * * [simplify]: Extracting #1: cost 4 inf + 0 87.175 * * [simplify]: Extracting #2: cost 9 inf + 0 87.175 * * [simplify]: Extracting #3: cost 39 inf + 1 87.176 * * [simplify]: Extracting #4: cost 129 inf + 43 87.177 * * [simplify]: Extracting #5: cost 157 inf + 592 87.181 * * [simplify]: Extracting #6: cost 110 inf + 7303 87.192 * * [simplify]: Extracting #7: cost 40 inf + 34465 87.206 * * [simplify]: Extracting #8: cost 0 inf + 66559 87.217 * * [simplify]: Extracting #9: cost 0 inf + 65126 87.227 * * [simplify]: Extracting #10: cost 0 inf + 64360 87.242 * [simplify]: Simplified to (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 87.242 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 87.242 * * * * [progress]: [ 97 / 315 ] simplifiying candidate # 87.243 * [simplify]: Simplifying (/ (sqrt 1) 1) 87.243 * * [simplify]: iters left: 3 (3 enodes) 87.246 * * [simplify]: iters left: 2 (9 enodes) 87.249 * * [simplify]: iters left: 1 (11 enodes) 87.252 * * [simplify]: Extracting #0: cost 1 inf + 0 87.252 * * [simplify]: Extracting #1: cost 0 inf + 1 87.252 * [simplify]: Simplified to 1 87.252 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 87.255 * [simplify]: Simplifying (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 87.255 * * [simplify]: iters left: 6 (12 enodes) 87.262 * * [simplify]: iters left: 5 (51 enodes) 87.281 * * [simplify]: iters left: 4 (86 enodes) 87.309 * * [simplify]: iters left: 3 (133 enodes) 87.343 * * [simplify]: iters left: 2 (224 enodes) 87.394 * * [simplify]: iters left: 1 (420 enodes) 87.567 * * [simplify]: Extracting #0: cost 1 inf + 0 87.567 * * [simplify]: Extracting #1: cost 6 inf + 0 87.568 * * [simplify]: Extracting #2: cost 43 inf + 0 87.568 * * [simplify]: Extracting #3: cost 142 inf + 43 87.570 * * [simplify]: Extracting #4: cost 185 inf + 344 87.573 * * [simplify]: Extracting #5: cost 146 inf + 4684 87.582 * * [simplify]: Extracting #6: cost 63 inf + 32826 87.604 * * [simplify]: Extracting #7: cost 5 inf + 77530 87.628 * * [simplify]: Extracting #8: cost 0 inf + 81482 87.651 * * [simplify]: Extracting #9: cost 0 inf + 81059 87.676 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 87.676 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 87.677 * * * * [progress]: [ 98 / 315 ] simplifiying candidate # 87.677 * [simplify]: Simplifying (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 87.677 * * [simplify]: iters left: 6 (13 enodes) 87.683 * * [simplify]: iters left: 5 (57 enodes) 87.694 * * [simplify]: iters left: 4 (95 enodes) 87.711 * * [simplify]: iters left: 3 (150 enodes) 87.760 * * [simplify]: iters left: 2 (262 enodes) 87.838 * * [simplify]: iters left: 1 (476 enodes) 88.082 * * [simplify]: Extracting #0: cost 1 inf + 0 88.082 * * [simplify]: Extracting #1: cost 6 inf + 0 88.082 * * [simplify]: Extracting #2: cost 38 inf + 1 88.083 * * [simplify]: Extracting #3: cost 142 inf + 2 88.084 * * [simplify]: Extracting #4: cost 208 inf + 179 88.087 * * [simplify]: Extracting #5: cost 182 inf + 3538 88.096 * * [simplify]: Extracting #6: cost 67 inf + 31039 88.115 * * [simplify]: Extracting #7: cost 5 inf + 75045 88.130 * * [simplify]: Extracting #8: cost 0 inf + 77375 88.142 * [simplify]: Simplified to (/ 1 (pow (* n (* 2 PI)) (/ (- 1 k) 4))) 88.143 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow (* n (* 2 PI)) (/ (- 1 k) 4))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 88.143 * [simplify]: Simplifying (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 88.143 * * [simplify]: iters left: 6 (13 enodes) 88.147 * * [simplify]: iters left: 5 (57 enodes) 88.159 * * [simplify]: iters left: 4 (95 enodes) 88.176 * * [simplify]: iters left: 3 (150 enodes) 88.225 * * [simplify]: iters left: 2 (262 enodes) 88.302 * * [simplify]: iters left: 1 (476 enodes) 88.475 * * [simplify]: Extracting #0: cost 1 inf + 0 88.475 * * [simplify]: Extracting #1: cost 6 inf + 0 88.475 * * [simplify]: Extracting #2: cost 41 inf + 0 88.476 * * [simplify]: Extracting #3: cost 143 inf + 84 88.478 * * [simplify]: Extracting #4: cost 201 inf + 677 88.484 * * [simplify]: Extracting #5: cost 129 inf + 15525 88.513 * * [simplify]: Extracting #6: cost 10 inf + 69324 88.542 * * [simplify]: Extracting #7: cost 0 inf + 72261 88.559 * * [simplify]: Extracting #8: cost 0 inf + 72171 88.586 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 4))) 88.586 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 4)))))) 88.586 * * * * [progress]: [ 99 / 315 ] simplifiying candidate # 88.586 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2))) 88.587 * * [simplify]: iters left: 6 (10 enodes) 88.592 * * [simplify]: iters left: 5 (41 enodes) 88.606 * * [simplify]: iters left: 4 (64 enodes) 88.628 * * [simplify]: iters left: 3 (106 enodes) 88.668 * * [simplify]: iters left: 2 (210 enodes) 88.714 * * [simplify]: iters left: 1 (398 enodes) 88.886 * * [simplify]: Extracting #0: cost 1 inf + 0 88.886 * * [simplify]: Extracting #1: cost 6 inf + 0 88.887 * * [simplify]: Extracting #2: cost 43 inf + 0 88.887 * * [simplify]: Extracting #3: cost 133 inf + 2 88.889 * * [simplify]: Extracting #4: cost 184 inf + 297 88.891 * * [simplify]: Extracting #5: cost 162 inf + 3276 88.898 * * [simplify]: Extracting #6: cost 81 inf + 17919 88.915 * * [simplify]: Extracting #7: cost 9 inf + 64899 88.935 * * [simplify]: Extracting #8: cost 0 inf + 71161 88.961 * * [simplify]: Extracting #9: cost 0 inf + 69048 88.983 * * [simplify]: Extracting #10: cost 0 inf + 68060 89.002 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2))) 89.002 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 89.002 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) 89.002 * * [simplify]: iters left: 6 (11 enodes) 89.006 * * [simplify]: iters left: 5 (45 enodes) 89.015 * * [simplify]: iters left: 4 (68 enodes) 89.027 * * [simplify]: iters left: 3 (110 enodes) 89.070 * * [simplify]: iters left: 2 (217 enodes) 89.135 * * [simplify]: iters left: 1 (411 enodes) 89.295 * * [simplify]: Extracting #0: cost 1 inf + 0 89.295 * * [simplify]: Extracting #1: cost 6 inf + 0 89.295 * * [simplify]: Extracting #2: cost 44 inf + 0 89.296 * * [simplify]: Extracting #3: cost 139 inf + 1 89.297 * * [simplify]: Extracting #4: cost 197 inf + 421 89.299 * * [simplify]: Extracting #5: cost 139 inf + 13650 89.308 * * [simplify]: Extracting #6: cost 13 inf + 69021 89.319 * * [simplify]: Extracting #7: cost 0 inf + 76213 89.339 * * [simplify]: Extracting #8: cost 0 inf + 76212 89.362 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))) 89.362 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k))))))) 89.362 * * * * [progress]: [ 100 / 315 ] simplifiying candidate # 89.363 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 89.363 * * [simplify]: iters left: 6 (15 enodes) 89.371 * * [simplify]: iters left: 5 (62 enodes) 89.397 * * [simplify]: iters left: 4 (93 enodes) 89.427 * * [simplify]: iters left: 3 (133 enodes) 89.474 * * [simplify]: iters left: 2 (229 enodes) 89.550 * * [simplify]: iters left: 1 (408 enodes) 89.696 * * [simplify]: Extracting #0: cost 1 inf + 0 89.697 * * [simplify]: Extracting #1: cost 6 inf + 0 89.697 * * [simplify]: Extracting #2: cost 12 inf + 0 89.697 * * [simplify]: Extracting #3: cost 39 inf + 0 89.697 * * [simplify]: Extracting #4: cost 113 inf + 84 89.698 * * [simplify]: Extracting #5: cost 174 inf + 382 89.699 * * [simplify]: Extracting #6: cost 147 inf + 3660 89.702 * * [simplify]: Extracting #7: cost 73 inf + 16366 89.710 * * [simplify]: Extracting #8: cost 21 inf + 47328 89.728 * * [simplify]: Extracting #9: cost 1 inf + 64296 89.750 * * [simplify]: Extracting #10: cost 0 inf + 64844 89.765 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) 89.765 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 89.765 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 89.765 * * [simplify]: iters left: 6 (14 enodes) 89.769 * * [simplify]: iters left: 5 (57 enodes) 89.780 * * [simplify]: iters left: 4 (90 enodes) 89.803 * * [simplify]: iters left: 3 (128 enodes) 89.847 * * [simplify]: iters left: 2 (208 enodes) 89.904 * * [simplify]: iters left: 1 (391 enodes) 90.127 * * [simplify]: Extracting #0: cost 1 inf + 0 90.127 * * [simplify]: Extracting #1: cost 4 inf + 0 90.127 * * [simplify]: Extracting #2: cost 8 inf + 0 90.127 * * [simplify]: Extracting #3: cost 39 inf + 0 90.128 * * [simplify]: Extracting #4: cost 119 inf + 43 90.130 * * [simplify]: Extracting #5: cost 173 inf + 382 90.133 * * [simplify]: Extracting #6: cost 120 inf + 9839 90.143 * * [simplify]: Extracting #7: cost 48 inf + 33394 90.162 * * [simplify]: Extracting #8: cost 5 inf + 65358 90.185 * * [simplify]: Extracting #9: cost 0 inf + 69046 90.199 * * [simplify]: Extracting #10: cost 0 inf + 68624 90.209 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 90.209 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))))))) 90.209 * * * * [progress]: [ 101 / 315 ] simplifiying candidate # 90.209 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 90.209 * * [simplify]: iters left: 6 (14 enodes) 90.213 * * [simplify]: iters left: 5 (57 enodes) 90.233 * * [simplify]: iters left: 4 (91 enodes) 90.261 * * [simplify]: iters left: 3 (129 enodes) 90.284 * * [simplify]: iters left: 2 (209 enodes) 90.361 * * [simplify]: iters left: 1 (390 enodes) 90.541 * * [simplify]: Extracting #0: cost 1 inf + 0 90.541 * * [simplify]: Extracting #1: cost 4 inf + 0 90.541 * * [simplify]: Extracting #2: cost 9 inf + 0 90.541 * * [simplify]: Extracting #3: cost 43 inf + 0 90.542 * * [simplify]: Extracting #4: cost 133 inf + 43 90.543 * * [simplify]: Extracting #5: cost 162 inf + 467 90.547 * * [simplify]: Extracting #6: cost 106 inf + 8214 90.554 * * [simplify]: Extracting #7: cost 58 inf + 18548 90.561 * * [simplify]: Extracting #8: cost 12 inf + 55831 90.572 * * [simplify]: Extracting #9: cost 0 inf + 65462 90.583 * * [simplify]: Extracting #10: cost 0 inf + 64962 90.598 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))) 90.598 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 90.598 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 90.599 * * [simplify]: iters left: 6 (14 enodes) 90.607 * * [simplify]: iters left: 5 (57 enodes) 90.625 * * [simplify]: iters left: 4 (91 enodes) 90.640 * * [simplify]: iters left: 3 (129 enodes) 90.675 * * [simplify]: iters left: 2 (209 enodes) 90.720 * * [simplify]: iters left: 1 (390 enodes) 90.868 * * [simplify]: Extracting #0: cost 1 inf + 0 90.868 * * [simplify]: Extracting #1: cost 4 inf + 0 90.868 * * [simplify]: Extracting #2: cost 9 inf + 0 90.868 * * [simplify]: Extracting #3: cost 43 inf + 0 90.868 * * [simplify]: Extracting #4: cost 133 inf + 43 90.869 * * [simplify]: Extracting #5: cost 162 inf + 467 90.871 * * [simplify]: Extracting #6: cost 106 inf + 8214 90.877 * * [simplify]: Extracting #7: cost 58 inf + 18548 90.889 * * [simplify]: Extracting #8: cost 12 inf + 55831 90.909 * * [simplify]: Extracting #9: cost 0 inf + 65462 90.930 * * [simplify]: Extracting #10: cost 0 inf + 64962 90.952 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))) 90.952 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* (* n PI) 2) (/ (- 1 k) 2))))))) 90.952 * * * * [progress]: [ 102 / 315 ] simplifiying candidate # 90.952 * [simplify]: Simplifying (/ (sqrt (sqrt k)) 1) 90.952 * * [simplify]: iters left: 4 (5 enodes) 90.955 * * [simplify]: iters left: 3 (15 enodes) 90.960 * * [simplify]: iters left: 2 (17 enodes) 90.966 * * [simplify]: iters left: 1 (19 enodes) 90.972 * * [simplify]: Extracting #0: cost 1 inf + 0 90.972 * * [simplify]: Extracting #1: cost 4 inf + 0 90.972 * * [simplify]: Extracting #2: cost 5 inf + 1 90.972 * * [simplify]: Extracting #3: cost 4 inf + 2 90.972 * * [simplify]: Extracting #4: cost 1 inf + 165 90.972 * * [simplify]: Extracting #5: cost 0 inf + 246 90.972 * [simplify]: Simplified to (sqrt (sqrt k)) 90.972 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 90.973 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 90.973 * * [simplify]: iters left: 6 (13 enodes) 90.980 * * [simplify]: iters left: 5 (54 enodes) 90.998 * * [simplify]: iters left: 4 (85 enodes) 91.026 * * [simplify]: iters left: 3 (129 enodes) 91.074 * * [simplify]: iters left: 2 (231 enodes) 91.156 * * [simplify]: iters left: 1 (416 enodes) 91.346 * * [simplify]: Extracting #0: cost 1 inf + 0 91.346 * * [simplify]: Extracting #1: cost 6 inf + 0 91.346 * * [simplify]: Extracting #2: cost 45 inf + 0 91.347 * * [simplify]: Extracting #3: cost 142 inf + 1 91.348 * * [simplify]: Extracting #4: cost 182 inf + 547 91.350 * * [simplify]: Extracting #5: cost 151 inf + 3652 91.353 * * [simplify]: Extracting #6: cost 87 inf + 14805 91.361 * * [simplify]: Extracting #7: cost 20 inf + 65591 91.377 * * [simplify]: Extracting #8: cost 0 inf + 80286 91.396 * * [simplify]: Extracting #9: cost 0 inf + 79511 91.420 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))) 91.420 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) 91.420 * * * * [progress]: [ 103 / 315 ] simplifiying candidate # 91.420 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 91.421 * * [simplify]: iters left: 6 (14 enodes) 91.425 * * [simplify]: iters left: 5 (60 enodes) 91.435 * * [simplify]: iters left: 4 (98 enodes) 91.455 * * [simplify]: iters left: 3 (157 enodes) 91.516 * * [simplify]: iters left: 2 (285 enodes) 91.625 * * [simplify]: Extracting #0: cost 1 inf + 0 91.625 * * [simplify]: Extracting #1: cost 6 inf + 0 91.625 * * [simplify]: Extracting #2: cost 26 inf + 0 91.626 * * [simplify]: Extracting #3: cost 95 inf + 1 91.626 * * [simplify]: Extracting #4: cost 120 inf + 343 91.629 * * [simplify]: Extracting #5: cost 76 inf + 5942 91.632 * * [simplify]: Extracting #6: cost 27 inf + 17799 91.636 * * [simplify]: Extracting #7: cost 13 inf + 26109 91.641 * * [simplify]: Extracting #8: cost 0 inf + 36631 91.647 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/4 (/ k 4)))) 91.647 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/4 (/ k 4)))) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 91.647 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 91.647 * * [simplify]: iters left: 6 (14 enodes) 91.652 * * [simplify]: iters left: 5 (60 enodes) 91.667 * * [simplify]: iters left: 4 (98 enodes) 91.700 * * [simplify]: iters left: 3 (157 enodes) 91.735 * * [simplify]: iters left: 2 (285 enodes) 91.810 * * [simplify]: Extracting #0: cost 1 inf + 0 91.810 * * [simplify]: Extracting #1: cost 6 inf + 0 91.810 * * [simplify]: Extracting #2: cost 26 inf + 0 91.811 * * [simplify]: Extracting #3: cost 95 inf + 1 91.812 * * [simplify]: Extracting #4: cost 120 inf + 343 91.814 * * [simplify]: Extracting #5: cost 76 inf + 5942 91.820 * * [simplify]: Extracting #6: cost 27 inf + 17799 91.832 * * [simplify]: Extracting #7: cost 13 inf + 26109 91.843 * * [simplify]: Extracting #8: cost 0 inf + 36631 91.853 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/4 (/ k 4)))) 91.853 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/4 (/ k 4))))))) 91.854 * * * * [progress]: [ 104 / 315 ] simplifiying candidate # 91.854 * [simplify]: Simplifying (/ 1 (pow n (/ (- 1 k) 2))) 91.854 * * [simplify]: iters left: 6 (8 enodes) 91.859 * * [simplify]: iters left: 5 (35 enodes) 91.872 * * [simplify]: iters left: 4 (58 enodes) 91.892 * * [simplify]: iters left: 3 (97 enodes) 91.931 * * [simplify]: iters left: 2 (199 enodes) 92.011 * * [simplify]: iters left: 1 (379 enodes) 92.144 * * [simplify]: Extracting #0: cost 1 inf + 0 92.144 * * [simplify]: Extracting #1: cost 6 inf + 0 92.145 * * [simplify]: Extracting #2: cost 40 inf + 1 92.145 * * [simplify]: Extracting #3: cost 131 inf + 3 92.146 * * [simplify]: Extracting #4: cost 179 inf + 9 92.147 * * [simplify]: Extracting #5: cost 157 inf + 2165 92.153 * * [simplify]: Extracting #6: cost 81 inf + 21275 92.161 * * [simplify]: Extracting #7: cost 6 inf + 68258 92.178 * * [simplify]: Extracting #8: cost 0 inf + 70936 92.197 * * [simplify]: Extracting #9: cost 0 inf + 69878 92.217 * * [simplify]: Extracting #10: cost 0 inf + 69707 92.236 * [simplify]: Simplified to (/ 1 (pow n (* 1/2 (- 1 k)))) 92.236 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow n (* 1/2 (- 1 k)))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 92.237 * [simplify]: Simplifying (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))) 92.237 * * [simplify]: iters left: 6 (10 enodes) 92.243 * * [simplify]: iters left: 5 (42 enodes) 92.258 * * [simplify]: iters left: 4 (65 enodes) 92.280 * * [simplify]: iters left: 3 (104 enodes) 92.324 * * [simplify]: iters left: 2 (206 enodes) 92.391 * * [simplify]: iters left: 1 (399 enodes) 92.559 * * [simplify]: Extracting #0: cost 1 inf + 0 92.559 * * [simplify]: Extracting #1: cost 6 inf + 0 92.559 * * [simplify]: Extracting #2: cost 45 inf + 0 92.559 * * [simplify]: Extracting #3: cost 135 inf + 84 92.560 * * [simplify]: Extracting #4: cost 184 inf + 1422 92.562 * * [simplify]: Extracting #5: cost 131 inf + 10060 92.569 * * [simplify]: Extracting #6: cost 42 inf + 47603 92.580 * * [simplify]: Extracting #7: cost 0 inf + 78607 92.602 * * [simplify]: Extracting #8: cost 0 inf + 76794 92.613 * * [simplify]: Extracting #9: cost 0 inf + 76381 92.623 * [simplify]: Simplified to (/ (sqrt k) (pow (* 2 PI) (* 1/2 (- 1 k)))) 92.623 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (* 1/2 (- 1 k))))))) 92.624 * * * * [progress]: [ 105 / 315 ] simplifiying candidate # 92.624 * [simplify]: Simplifying (/ 1 (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 92.624 * * [simplify]: iters left: 6 (13 enodes) 92.631 * * [simplify]: iters left: 5 (56 enodes) 92.649 * * [simplify]: iters left: 4 (91 enodes) 92.678 * * [simplify]: iters left: 3 (129 enodes) 92.722 * * [simplify]: iters left: 2 (209 enodes) 92.799 * * [simplify]: iters left: 1 (395 enodes) 93.000 * * [simplify]: Extracting #0: cost 1 inf + 0 93.000 * * [simplify]: Extracting #1: cost 6 inf + 0 93.000 * * [simplify]: Extracting #2: cost 9 inf + 1 93.000 * * [simplify]: Extracting #3: cost 37 inf + 1 93.001 * * [simplify]: Extracting #4: cost 123 inf + 2 93.002 * * [simplify]: Extracting #5: cost 172 inf + 259 93.004 * * [simplify]: Extracting #6: cost 160 inf + 1592 93.008 * * [simplify]: Extracting #7: cost 87 inf + 12079 93.017 * * [simplify]: Extracting #8: cost 46 inf + 31947 93.027 * * [simplify]: Extracting #9: cost 3 inf + 69771 93.039 * * [simplify]: Extracting #10: cost 0 inf + 71013 93.056 * * [simplify]: Extracting #11: cost 0 inf + 70803 93.081 * [simplify]: Simplified to (/ 1 (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 93.081 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 93.082 * [simplify]: Simplifying (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 93.082 * * [simplify]: iters left: 6 (13 enodes) 93.089 * * [simplify]: iters left: 5 (54 enodes) 93.108 * * [simplify]: iters left: 4 (87 enodes) 93.125 * * [simplify]: iters left: 3 (129 enodes) 93.149 * * [simplify]: iters left: 2 (210 enodes) 93.215 * * [simplify]: iters left: 1 (393 enodes) 93.404 * * [simplify]: Extracting #0: cost 1 inf + 0 93.404 * * [simplify]: Extracting #1: cost 4 inf + 0 93.404 * * [simplify]: Extracting #2: cost 8 inf + 0 93.404 * * [simplify]: Extracting #3: cost 33 inf + 1 93.405 * * [simplify]: Extracting #4: cost 113 inf + 43 93.406 * * [simplify]: Extracting #5: cost 161 inf + 301 93.409 * * [simplify]: Extracting #6: cost 120 inf + 6257 93.417 * * [simplify]: Extracting #7: cost 56 inf + 23489 93.435 * * [simplify]: Extracting #8: cost 6 inf + 58636 93.456 * * [simplify]: Extracting #9: cost 0 inf + 63414 93.475 * * [simplify]: Extracting #10: cost 0 inf + 62992 93.486 * [simplify]: Simplified to (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 93.486 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 93.486 * * * * [progress]: [ 106 / 315 ] simplifiying candidate # 93.486 * [simplify]: Simplifying (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 93.486 * * [simplify]: iters left: 6 (12 enodes) 93.490 * * [simplify]: iters left: 5 (51 enodes) 93.500 * * [simplify]: iters left: 4 (85 enodes) 93.526 * * [simplify]: iters left: 3 (128 enodes) 93.567 * * [simplify]: iters left: 2 (213 enodes) 93.621 * * [simplify]: iters left: 1 (401 enodes) 93.826 * * [simplify]: Extracting #0: cost 1 inf + 0 93.826 * * [simplify]: Extracting #1: cost 4 inf + 0 93.826 * * [simplify]: Extracting #2: cost 6 inf + 1 93.826 * * [simplify]: Extracting #3: cost 37 inf + 1 93.827 * * [simplify]: Extracting #4: cost 134 inf + 2 93.828 * * [simplify]: Extracting #5: cost 178 inf + 177 93.831 * * [simplify]: Extracting #6: cost 159 inf + 2419 93.836 * * [simplify]: Extracting #7: cost 81 inf + 14143 93.851 * * [simplify]: Extracting #8: cost 17 inf + 55639 93.877 * * [simplify]: Extracting #9: cost 0 inf + 69104 93.899 * * [simplify]: Extracting #10: cost 0 inf + 68205 93.921 * [simplify]: Simplified to (/ 1 (sqrt (pow (* (* 2 n) PI) (/ (- 1 k) 2)))) 93.921 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (pow (* (* 2 n) PI) (/ (- 1 k) 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 93.921 * [simplify]: Simplifying (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 93.921 * * [simplify]: iters left: 6 (13 enodes) 93.925 * * [simplify]: iters left: 5 (54 enodes) 93.935 * * [simplify]: iters left: 4 (88 enodes) 93.950 * * [simplify]: iters left: 3 (126 enodes) 93.989 * * [simplify]: iters left: 2 (206 enodes) 94.046 * * [simplify]: iters left: 1 (396 enodes) 94.216 * * [simplify]: Extracting #0: cost 1 inf + 0 94.216 * * [simplify]: Extracting #1: cost 4 inf + 0 94.216 * * [simplify]: Extracting #2: cost 9 inf + 0 94.216 * * [simplify]: Extracting #3: cost 39 inf + 1 94.217 * * [simplify]: Extracting #4: cost 129 inf + 43 94.218 * * [simplify]: Extracting #5: cost 157 inf + 592 94.222 * * [simplify]: Extracting #6: cost 110 inf + 7303 94.232 * * [simplify]: Extracting #7: cost 40 inf + 34465 94.246 * * [simplify]: Extracting #8: cost 0 inf + 66559 94.257 * * [simplify]: Extracting #9: cost 0 inf + 65126 94.267 * * [simplify]: Extracting #10: cost 0 inf + 64360 94.288 * [simplify]: Simplified to (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 94.288 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 94.288 * * * * [progress]: [ 107 / 315 ] simplifiying candidate # 94.289 * [simplify]: Simplifying (/ 1 1) 94.289 * * [simplify]: iters left: 2 (2 enodes) 94.291 * * [simplify]: iters left: 1 (6 enodes) 94.293 * * [simplify]: Extracting #0: cost 1 inf + 0 94.293 * * [simplify]: Extracting #1: cost 0 inf + 1 94.293 * [simplify]: Simplified to 1 94.293 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 94.293 * [simplify]: Simplifying (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 94.293 * * [simplify]: iters left: 6 (12 enodes) 94.301 * * [simplify]: iters left: 5 (51 enodes) 94.318 * * [simplify]: iters left: 4 (86 enodes) 94.336 * * [simplify]: iters left: 3 (133 enodes) 94.366 * * [simplify]: iters left: 2 (224 enodes) 94.434 * * [simplify]: iters left: 1 (420 enodes) 94.625 * * [simplify]: Extracting #0: cost 1 inf + 0 94.625 * * [simplify]: Extracting #1: cost 6 inf + 0 94.625 * * [simplify]: Extracting #2: cost 43 inf + 0 94.625 * * [simplify]: Extracting #3: cost 142 inf + 43 94.626 * * [simplify]: Extracting #4: cost 185 inf + 344 94.627 * * [simplify]: Extracting #5: cost 146 inf + 4684 94.632 * * [simplify]: Extracting #6: cost 63 inf + 32826 94.652 * * [simplify]: Extracting #7: cost 5 inf + 77530 94.676 * * [simplify]: Extracting #8: cost 0 inf + 81482 94.703 * * [simplify]: Extracting #9: cost 0 inf + 81059 94.726 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 94.726 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 94.727 * * * * [progress]: [ 108 / 315 ] simplifiying candidate # 94.727 * [simplify]: Simplifying (/ 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 94.727 * * [simplify]: iters left: 6 (12 enodes) 94.734 * * [simplify]: iters left: 5 (54 enodes) 94.753 * * [simplify]: iters left: 4 (92 enodes) 94.785 * * [simplify]: iters left: 3 (154 enodes) 94.823 * * [simplify]: iters left: 2 (285 enodes) 94.911 * * [simplify]: Extracting #0: cost 1 inf + 0 94.911 * * [simplify]: Extracting #1: cost 6 inf + 0 94.911 * * [simplify]: Extracting #2: cost 24 inf + 1 94.911 * * [simplify]: Extracting #3: cost 91 inf + 2 94.912 * * [simplify]: Extracting #4: cost 122 inf + 220 94.913 * * [simplify]: Extracting #5: cost 120 inf + 724 94.917 * * [simplify]: Extracting #6: cost 64 inf + 8306 94.924 * * [simplify]: Extracting #7: cost 17 inf + 22181 94.931 * * [simplify]: Extracting #8: cost 1 inf + 32297 94.939 * * [simplify]: Extracting #9: cost 0 inf + 32742 94.944 * [simplify]: Simplified to (/ 1 (pow (* (* 2 n) PI) (* 1/4 (- 1 k)))) 94.944 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow (* (* 2 n) PI) (* 1/4 (- 1 k)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 94.944 * [simplify]: Simplifying (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 94.944 * * [simplify]: iters left: 6 (13 enodes) 94.948 * * [simplify]: iters left: 5 (57 enodes) 94.960 * * [simplify]: iters left: 4 (95 enodes) 94.987 * * [simplify]: iters left: 3 (150 enodes) 95.019 * * [simplify]: iters left: 2 (262 enodes) 95.110 * * [simplify]: iters left: 1 (476 enodes) 95.327 * * [simplify]: Extracting #0: cost 1 inf + 0 95.327 * * [simplify]: Extracting #1: cost 6 inf + 0 95.327 * * [simplify]: Extracting #2: cost 41 inf + 0 95.328 * * [simplify]: Extracting #3: cost 143 inf + 84 95.329 * * [simplify]: Extracting #4: cost 201 inf + 677 95.335 * * [simplify]: Extracting #5: cost 129 inf + 15525 95.359 * * [simplify]: Extracting #6: cost 10 inf + 69324 95.389 * * [simplify]: Extracting #7: cost 0 inf + 72261 95.407 * * [simplify]: Extracting #8: cost 0 inf + 72171 95.425 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 4))) 95.425 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 4)))))) 95.425 * * * * [progress]: [ 109 / 315 ] simplifiying candidate # 95.425 * * * * [progress]: [ 110 / 315 ] simplifiying candidate # 95.425 * * * * [progress]: [ 111 / 315 ] simplifiying candidate # 95.425 * * * * [progress]: [ 112 / 315 ] simplifiying candidate # 95.426 * [simplify]: Simplifying (pow (* 2 PI) (/ (- 1 k) 2)) 95.426 * * [simplify]: iters left: 5 (8 enodes) 95.428 * * [simplify]: iters left: 4 (36 enodes) 95.435 * * [simplify]: iters left: 3 (57 enodes) 95.445 * * [simplify]: iters left: 2 (92 enodes) 95.475 * * [simplify]: iters left: 1 (188 enodes) 95.547 * * [simplify]: Extracting #0: cost 1 inf + 0 95.547 * * [simplify]: Extracting #1: cost 13 inf + 0 95.548 * * [simplify]: Extracting #2: cost 57 inf + 1 95.548 * * [simplify]: Extracting #3: cost 92 inf + 6 95.549 * * [simplify]: Extracting #4: cost 87 inf + 1221 95.550 * * [simplify]: Extracting #5: cost 34 inf + 9913 95.553 * * [simplify]: Extracting #6: cost 17 inf + 13054 95.556 * * [simplify]: Extracting #7: cost 0 inf + 24512 95.559 * [simplify]: Simplified to (pow (* 2 PI) (/ (- 1 k) 2)) 95.560 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow n (/ (- 1 k) 2))) (pow (* 2 PI) (/ (- 1 k) 2))))) 95.560 * * * * [progress]: [ 113 / 315 ] simplifiying candidate # 95.560 * [simplify]: Simplifying (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 95.560 * * [simplify]: iters left: 6 (11 enodes) 95.563 * * [simplify]: iters left: 5 (48 enodes) 95.572 * * [simplify]: iters left: 4 (77 enodes) 95.593 * * [simplify]: iters left: 3 (120 enodes) 95.630 * * [simplify]: iters left: 2 (218 enodes) 95.677 * * [simplify]: iters left: 1 (394 enodes) 95.832 * * [simplify]: Extracting #0: cost 1 inf + 0 95.833 * * [simplify]: Extracting #1: cost 3 inf + 0 95.833 * * [simplify]: Extracting #2: cost 30 inf + 0 95.833 * * [simplify]: Extracting #3: cost 110 inf + 1 95.834 * * [simplify]: Extracting #4: cost 180 inf + 176 95.834 * * [simplify]: Extracting #5: cost 171 inf + 1097 95.837 * * [simplify]: Extracting #6: cost 98 inf + 12511 95.852 * * [simplify]: Extracting #7: cost 30 inf + 42025 95.879 * * [simplify]: Extracting #8: cost 0 inf + 66207 95.911 * * [simplify]: Extracting #9: cost 0 inf + 64520 95.940 * * [simplify]: Extracting #10: cost 0 inf + 63773 95.969 * [simplify]: Simplified to (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 95.969 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))) 95.969 * * * * [progress]: [ 114 / 315 ] simplifiying candidate # 95.970 * [simplify]: Simplifying (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 95.970 * * [simplify]: iters left: 6 (11 enodes) 95.976 * * [simplify]: iters left: 5 (48 enodes) 95.992 * * [simplify]: iters left: 4 (78 enodes) 96.017 * * [simplify]: iters left: 3 (122 enodes) 96.063 * * [simplify]: iters left: 2 (223 enodes) 96.126 * * [simplify]: iters left: 1 (410 enodes) 96.254 * * [simplify]: Extracting #0: cost 1 inf + 0 96.254 * * [simplify]: Extracting #1: cost 4 inf + 0 96.254 * * [simplify]: Extracting #2: cost 36 inf + 0 96.255 * * [simplify]: Extracting #3: cost 131 inf + 1 96.255 * * [simplify]: Extracting #4: cost 175 inf + 220 96.256 * * [simplify]: Extracting #5: cost 160 inf + 1914 96.259 * * [simplify]: Extracting #6: cost 84 inf + 11925 96.266 * * [simplify]: Extracting #7: cost 27 inf + 40490 96.277 * * [simplify]: Extracting #8: cost 0 inf + 68673 96.289 * * [simplify]: Extracting #9: cost 0 inf + 68313 96.305 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 96.305 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))) 96.305 * * * * [progress]: [ 115 / 315 ] simplifiying candidate # 96.306 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 96.306 * * [simplify]: iters left: 5 (10 enodes) 96.312 * * [simplify]: iters left: 4 (45 enodes) 96.328 * * [simplify]: iters left: 3 (78 enodes) 96.354 * * [simplify]: iters left: 2 (120 enodes) 96.395 * * [simplify]: iters left: 1 (205 enodes) 96.445 * * [simplify]: Extracting #0: cost 1 inf + 0 96.446 * * [simplify]: Extracting #1: cost 13 inf + 0 96.446 * * [simplify]: Extracting #2: cost 64 inf + 1 96.446 * * [simplify]: Extracting #3: cost 99 inf + 49 96.447 * * [simplify]: Extracting #4: cost 97 inf + 806 96.449 * * [simplify]: Extracting #5: cost 58 inf + 4778 96.454 * * [simplify]: Extracting #6: cost 15 inf + 17624 96.462 * * [simplify]: Extracting #7: cost 1 inf + 26643 96.467 * * [simplify]: Extracting #8: cost 0 inf + 26968 96.472 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 2)) 96.472 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) 1) (pow (* (* PI 2) n) (/ (- 1 k) 2))))) 96.472 * * * * [progress]: [ 116 / 315 ] simplifiying candidate # 96.472 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 96.472 * * [simplify]: iters left: 6 (11 enodes) 96.476 * * [simplify]: iters left: 5 (51 enodes) 96.485 * * [simplify]: iters left: 4 (87 enodes) 96.506 * * [simplify]: iters left: 3 (146 enodes) 96.556 * * [simplify]: iters left: 2 (263 enodes) 96.612 * * [simplify]: iters left: 1 (487 enodes) 96.846 * * [simplify]: Extracting #0: cost 1 inf + 0 96.846 * * [simplify]: Extracting #1: cost 26 inf + 0 96.847 * * [simplify]: Extracting #2: cost 109 inf + 1 96.848 * * [simplify]: Extracting #3: cost 197 inf + 178 96.850 * * [simplify]: Extracting #4: cost 191 inf + 1310 96.857 * * [simplify]: Extracting #5: cost 96 inf + 14316 96.870 * * [simplify]: Extracting #6: cost 32 inf + 39237 96.881 * * [simplify]: Extracting #7: cost 0 inf + 65358 96.892 * * [simplify]: Extracting #8: cost 0 inf + 64077 96.906 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/4 (- 1 k))) 96.906 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (pow (* (* PI 2) n) (* 1/4 (- 1 k)))))) 96.906 * * * * [progress]: [ 117 / 315 ] simplifiying candidate # 96.906 * [simplify]: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 96.907 * * [simplify]: iters left: 4 (4 enodes) 96.908 * * [simplify]: iters left: 3 (12 enodes) 96.912 * * [simplify]: Extracting #0: cost 1 inf + 0 96.912 * * [simplify]: Extracting #1: cost 3 inf + 0 96.912 * * [simplify]: Extracting #2: cost 5 inf + 0 96.912 * * [simplify]: Extracting #3: cost 7 inf + 0 96.912 * * [simplify]: Extracting #4: cost 6 inf + 1 96.912 * * [simplify]: Extracting #5: cost 0 inf + 647 96.912 * [simplify]: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 96.912 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt k)))))) 96.912 * * * * [progress]: [ 118 / 315 ] simplifiying candidate # 96.913 * [simplify]: Simplifying (sqrt (* (cbrt k) (cbrt k))) 96.913 * * [simplify]: iters left: 4 (4 enodes) 96.914 * * [simplify]: iters left: 3 (13 enodes) 96.918 * * [simplify]: Extracting #0: cost 1 inf + 0 96.918 * * [simplify]: Extracting #1: cost 4 inf + 0 96.918 * * [simplify]: Extracting #2: cost 7 inf + 0 96.918 * * [simplify]: Extracting #3: cost 6 inf + 1 96.918 * * [simplify]: Extracting #4: cost 0 inf + 647 96.918 * [simplify]: Simplified to (fabs (cbrt k)) 96.918 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (fabs (cbrt k)) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt k)))))) 96.919 * * * * [progress]: [ 119 / 315 ] simplifiying candidate # 96.919 * [simplify]: Simplifying (sqrt (sqrt k)) 96.919 * * [simplify]: iters left: 2 (3 enodes) 96.920 * * [simplify]: iters left: 1 (9 enodes) 96.923 * * [simplify]: Extracting #0: cost 1 inf + 0 96.923 * * [simplify]: Extracting #1: cost 3 inf + 0 96.923 * * [simplify]: Extracting #2: cost 5 inf + 0 96.923 * * [simplify]: Extracting #3: cost 4 inf + 1 96.923 * * [simplify]: Extracting #4: cost 0 inf + 245 96.923 * [simplify]: Simplified to (sqrt (sqrt k)) 96.923 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))))) 96.923 * * * * [progress]: [ 120 / 315 ] simplifiying candidate # 96.923 * [simplify]: Simplifying (sqrt 1) 96.923 * * [simplify]: iters left: 1 (2 enodes) 96.927 * * [simplify]: Extracting #0: cost 1 inf + 0 96.927 * * [simplify]: Extracting #1: cost 0 inf + 1 96.927 * [simplify]: Simplified to 1 96.927 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (/ 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))))) 96.927 * * * * [progress]: [ 121 / 315 ] simplifiying candidate # 96.927 * [simplify]: Simplifying (sqrt (sqrt k)) 96.927 * * [simplify]: iters left: 2 (3 enodes) 96.929 * * [simplify]: iters left: 1 (9 enodes) 96.931 * * [simplify]: Extracting #0: cost 1 inf + 0 96.931 * * [simplify]: Extracting #1: cost 3 inf + 0 96.932 * * [simplify]: Extracting #2: cost 5 inf + 0 96.932 * * [simplify]: Extracting #3: cost 4 inf + 1 96.932 * * [simplify]: Extracting #4: cost 0 inf + 245 96.932 * [simplify]: Simplified to (sqrt (sqrt k)) 96.932 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))))) 96.932 * * * * [progress]: [ 122 / 315 ] simplifiying candidate # 96.932 * * * * [progress]: [ 123 / 315 ] simplifiying candidate # 96.933 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ k 2)) 96.933 * * [simplify]: iters left: 5 (8 enodes) 96.937 * * [simplify]: iters left: 4 (31 enodes) 96.947 * * [simplify]: iters left: 3 (51 enodes) 96.964 * * [simplify]: iters left: 2 (85 enodes) 96.992 * * [simplify]: iters left: 1 (152 enodes) 97.051 * * [simplify]: Extracting #0: cost 1 inf + 0 97.051 * * [simplify]: Extracting #1: cost 13 inf + 0 97.051 * * [simplify]: Extracting #2: cost 59 inf + 1 97.052 * * [simplify]: Extracting #3: cost 76 inf + 9 97.053 * * [simplify]: Extracting #4: cost 41 inf + 3303 97.056 * * [simplify]: Extracting #5: cost 16 inf + 10676 97.061 * * [simplify]: Extracting #6: cost 0 inf + 21028 97.067 * * [simplify]: Extracting #7: cost 0 inf + 20456 97.072 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 97.072 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt k) (pow (* n (* 2 PI)) (/ 1 2))) (pow (* (* n 2) PI) (/ k 2))))) 97.072 * * * * [progress]: [ 124 / 315 ] simplifiying candidate #real (real->posit16 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))> 97.072 * * * * [progress]: [ 125 / 315 ] simplifiying candidate # 97.072 * * * * [progress]: [ 126 / 315 ] simplifiying candidate # 97.072 * * * * [progress]: [ 127 / 315 ] simplifiying candidate # 97.072 * * * * [progress]: [ 128 / 315 ] simplifiying candidate # 97.073 * [simplify]: Simplifying (- 1) 97.073 * * [simplify]: iters left: 2 (2 enodes) 97.075 * * [simplify]: iters left: 1 (9 enodes) 97.078 * * [simplify]: Extracting #0: cost 1 inf + 0 97.078 * * [simplify]: Extracting #1: cost 0 inf + 1 97.078 * [simplify]: Simplified to -1 97.078 * [simplify]: Simplified (2 2) to (λ (k n) (pow (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) -1)) 97.079 * * * * [progress]: [ 129 / 315 ] simplifiying candidate # 97.079 * * * * [progress]: [ 130 / 315 ] simplifiying candidate # 97.079 * * * * [progress]: [ 131 / 315 ] simplifiying candidate # 97.079 * * * * [progress]: [ 132 / 315 ] simplifiying candidate # 97.079 * * * * [progress]: [ 133 / 315 ] simplifiying candidate # 97.079 * * * * [progress]: [ 134 / 315 ] simplifiying candidate # 97.079 * * * * [progress]: [ 135 / 315 ] simplifiying candidate # 97.079 * * * * [progress]: [ 136 / 315 ] simplifiying candidate # 97.079 * [simplify]: Simplifying (- 0 (- (log (sqrt k)) (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)))) 97.080 * * [simplify]: iters left: 6 (18 enodes) 97.090 * * [simplify]: iters left: 5 (74 enodes) 97.116 * * [simplify]: iters left: 4 (139 enodes) 97.187 * * [simplify]: iters left: 3 (436 enodes) 97.472 * * [simplify]: Extracting #0: cost 1 inf + 0 97.472 * * [simplify]: Extracting #1: cost 61 inf + 0 97.473 * * [simplify]: Extracting #2: cost 264 inf + 1 97.475 * * [simplify]: Extracting #3: cost 321 inf + 3480 97.480 * * [simplify]: Extracting #4: cost 214 inf + 37299 97.494 * * [simplify]: Extracting #5: cost 49 inf + 88804 97.529 * * [simplify]: Extracting #6: cost 1 inf + 107375 97.574 * * [simplify]: Extracting #7: cost 0 inf + 107829 97.603 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))) 97.603 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))))) 97.603 * * * * [progress]: [ 137 / 315 ] simplifiying candidate # 97.603 * [simplify]: Simplifying (- 0 (- (log (sqrt k)) (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)))) 97.603 * * [simplify]: iters left: 6 (17 enodes) 97.608 * * [simplify]: iters left: 5 (72 enodes) 97.624 * * [simplify]: iters left: 4 (132 enodes) 97.682 * * [simplify]: iters left: 3 (363 enodes) 97.863 * * [simplify]: Extracting #0: cost 1 inf + 0 97.864 * * [simplify]: Extracting #1: cost 52 inf + 0 97.864 * * [simplify]: Extracting #2: cost 233 inf + 1 97.866 * * [simplify]: Extracting #3: cost 297 inf + 1480 97.876 * * [simplify]: Extracting #4: cost 194 inf + 31621 97.900 * * [simplify]: Extracting #5: cost 26 inf + 79863 97.918 * * [simplify]: Extracting #6: cost 0 inf + 87482 97.943 * [simplify]: Simplified to (- (/ (* (- 1 k) (+ (log n) (log (* PI 2)))) 2) (log (sqrt k))) 97.944 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (* (- 1 k) (+ (log n) (log (* PI 2)))) 2) (log (sqrt k))))) 97.944 * * * * [progress]: [ 138 / 315 ] simplifiying candidate # 97.944 * [simplify]: Simplifying (- 0 (- (log (sqrt k)) (* (log (* n (* 2 PI))) (/ (- 1 k) 2)))) 97.944 * * [simplify]: iters left: 6 (16 enodes) 97.954 * * [simplify]: iters left: 5 (71 enodes) 97.978 * * [simplify]: iters left: 4 (139 enodes) 98.026 * * [simplify]: iters left: 3 (334 enodes) 98.153 * * [simplify]: Extracting #0: cost 1 inf + 0 98.153 * * [simplify]: Extracting #1: cost 40 inf + 0 98.154 * * [simplify]: Extracting #2: cost 196 inf + 1 98.155 * * [simplify]: Extracting #3: cost 254 inf + 1204 98.158 * * [simplify]: Extracting #4: cost 180 inf + 20622 98.170 * * [simplify]: Extracting #5: cost 23 inf + 58558 98.199 * * [simplify]: Extracting #6: cost 0 inf + 65586 98.213 * * [simplify]: Extracting #7: cost 0 inf + 65581 98.227 * [simplify]: Simplified to (- (/ (- 1 k) (/ 2 (log (* PI (* n 2))))) (log (sqrt k))) 98.227 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- 1 k) (/ 2 (log (* PI (* n 2))))) (log (sqrt k))))) 98.227 * * * * [progress]: [ 139 / 315 ] simplifiying candidate # 98.227 * [simplify]: Simplifying (- 0 (- (log (sqrt k)) (* (log (* n (* 2 PI))) (/ (- 1 k) 2)))) 98.227 * * [simplify]: iters left: 6 (16 enodes) 98.235 * * [simplify]: iters left: 5 (71 enodes) 98.259 * * [simplify]: iters left: 4 (139 enodes) 98.288 * * [simplify]: iters left: 3 (334 enodes) 98.426 * * [simplify]: Extracting #0: cost 1 inf + 0 98.426 * * [simplify]: Extracting #1: cost 40 inf + 0 98.426 * * [simplify]: Extracting #2: cost 196 inf + 1 98.427 * * [simplify]: Extracting #3: cost 254 inf + 1204 98.431 * * [simplify]: Extracting #4: cost 180 inf + 20622 98.445 * * [simplify]: Extracting #5: cost 23 inf + 58558 98.459 * * [simplify]: Extracting #6: cost 0 inf + 65586 98.480 * * [simplify]: Extracting #7: cost 0 inf + 65581 98.507 * [simplify]: Simplified to (- (/ (- 1 k) (/ 2 (log (* PI (* n 2))))) (log (sqrt k))) 98.507 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- 1 k) (/ 2 (log (* PI (* n 2))))) (log (sqrt k))))) 98.507 * * * * [progress]: [ 140 / 315 ] simplifiying candidate # 98.507 * [simplify]: Simplifying (- 0 (- (log (sqrt k)) (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 98.507 * * [simplify]: iters left: 6 (16 enodes) 98.516 * * [simplify]: iters left: 5 (70 enodes) 98.539 * * [simplify]: iters left: 4 (131 enodes) 98.576 * * [simplify]: iters left: 3 (299 enodes) 98.710 * * [simplify]: Extracting #0: cost 1 inf + 0 98.710 * * [simplify]: Extracting #1: cost 49 inf + 0 98.712 * * [simplify]: Extracting #2: cost 245 inf + 1 98.713 * * [simplify]: Extracting #3: cost 339 inf + 77 98.718 * * [simplify]: Extracting #4: cost 268 inf + 11938 98.740 * * [simplify]: Extracting #5: cost 42 inf + 65298 98.755 * * [simplify]: Extracting #6: cost 2 inf + 80111 98.770 * * [simplify]: Extracting #7: cost 0 inf + 81616 98.785 * [simplify]: Simplified to (- (/ (* (log (* (* 2 PI) n)) (- 1 k)) 2) (log (sqrt k))) 98.785 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (* (log (* (* 2 PI) n)) (- 1 k)) 2) (log (sqrt k))))) 98.785 * * * * [progress]: [ 141 / 315 ] simplifiying candidate # 98.785 * [simplify]: Simplifying (- 0 (log (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 98.785 * * [simplify]: iters left: 6 (15 enodes) 98.790 * * [simplify]: iters left: 5 (64 enodes) 98.804 * * [simplify]: iters left: 4 (109 enodes) 98.841 * * [simplify]: iters left: 3 (205 enodes) 98.903 * * [simplify]: Extracting #0: cost 1 inf + 0 98.903 * * [simplify]: Extracting #1: cost 13 inf + 0 98.904 * * [simplify]: Extracting #2: cost 110 inf + 1 98.904 * * [simplify]: Extracting #3: cost 184 inf + 3 98.906 * * [simplify]: Extracting #4: cost 204 inf + 523 98.910 * * [simplify]: Extracting #5: cost 135 inf + 12649 98.922 * * [simplify]: Extracting #6: cost 19 inf + 42490 98.942 * * [simplify]: Extracting #7: cost 0 inf + 51113 98.958 * [simplify]: Simplified to (- (- (log (sqrt k)) (* (log (* n (* 2 PI))) (- 1/2 (/ k 2))))) 98.959 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (- (log (sqrt k)) (* (log (* n (* 2 PI))) (- 1/2 (/ k 2))))))) 98.959 * * * * [progress]: [ 142 / 315 ] simplifiying candidate # 98.959 * [simplify]: Simplifying (- (log 1) (- (log (sqrt k)) (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)))) 98.959 * * [simplify]: iters left: 6 (18 enodes) 98.969 * * [simplify]: iters left: 5 (75 enodes) 98.993 * * [simplify]: iters left: 4 (135 enodes) 99.033 * * [simplify]: iters left: 3 (433 enodes) 99.286 * * [simplify]: Extracting #0: cost 1 inf + 0 99.286 * * [simplify]: Extracting #1: cost 58 inf + 0 99.287 * * [simplify]: Extracting #2: cost 240 inf + 1 99.288 * * [simplify]: Extracting #3: cost 306 inf + 1689 99.293 * * [simplify]: Extracting #4: cost 199 inf + 35985 99.327 * * [simplify]: Extracting #5: cost 6 inf + 97123 99.364 * * [simplify]: Extracting #6: cost 0 inf + 99432 99.398 * [simplify]: Simplified to (- (* (+ (+ (log 2) (log n)) (log PI)) (/ (- 1 k) 2)) (log (sqrt k))) 99.398 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (+ (+ (log 2) (log n)) (log PI)) (/ (- 1 k) 2)) (log (sqrt k))))) 99.398 * * * * [progress]: [ 143 / 315 ] simplifiying candidate # 99.398 * [simplify]: Simplifying (- (log 1) (- (log (sqrt k)) (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)))) 99.398 * * [simplify]: iters left: 6 (17 enodes) 99.404 * * [simplify]: iters left: 5 (73 enodes) 99.416 * * [simplify]: iters left: 4 (128 enodes) 99.454 * * [simplify]: iters left: 3 (358 enodes) 100.042 * * [simplify]: Extracting #0: cost 1 inf + 0 100.043 * * [simplify]: Extracting #1: cost 47 inf + 0 100.043 * * [simplify]: Extracting #2: cost 217 inf + 1 100.044 * * [simplify]: Extracting #3: cost 282 inf + 1609 100.048 * * [simplify]: Extracting #4: cost 206 inf + 23875 100.060 * * [simplify]: Extracting #5: cost 49 inf + 66180 100.091 * * [simplify]: Extracting #6: cost 4 inf + 80689 100.123 * * [simplify]: Extracting #7: cost 0 inf + 81905 100.139 * [simplify]: Simplified to (- (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)) (log (sqrt k))) 100.139 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)) (log (sqrt k))))) 100.139 * * * * [progress]: [ 144 / 315 ] simplifiying candidate # 100.139 * [simplify]: Simplifying (- (log 1) (- (log (sqrt k)) (* (log (* n (* 2 PI))) (/ (- 1 k) 2)))) 100.139 * * [simplify]: iters left: 6 (16 enodes) 100.144 * * [simplify]: iters left: 5 (72 enodes) 100.159 * * [simplify]: iters left: 4 (135 enodes) 100.212 * * [simplify]: iters left: 3 (329 enodes) 100.361 * * [simplify]: Extracting #0: cost 1 inf + 0 100.361 * * [simplify]: Extracting #1: cost 36 inf + 0 100.362 * * [simplify]: Extracting #2: cost 187 inf + 1 100.365 * * [simplify]: Extracting #3: cost 239 inf + 2432 100.371 * * [simplify]: Extracting #4: cost 187 inf + 16362 100.389 * * [simplify]: Extracting #5: cost 27 inf + 54570 100.407 * * [simplify]: Extracting #6: cost 0 inf + 62493 100.420 * [simplify]: Simplified to (- (/ (log (* (* PI 2) n)) (/ 2 (- 1 k))) (log (sqrt k))) 100.420 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (log (* (* PI 2) n)) (/ 2 (- 1 k))) (log (sqrt k))))) 100.421 * * * * [progress]: [ 145 / 315 ] simplifiying candidate # 100.421 * [simplify]: Simplifying (- (log 1) (- (log (sqrt k)) (* (log (* n (* 2 PI))) (/ (- 1 k) 2)))) 100.421 * * [simplify]: iters left: 6 (16 enodes) 100.426 * * [simplify]: iters left: 5 (72 enodes) 100.450 * * [simplify]: iters left: 4 (135 enodes) 100.481 * * [simplify]: iters left: 3 (329 enodes) 100.614 * * [simplify]: Extracting #0: cost 1 inf + 0 100.614 * * [simplify]: Extracting #1: cost 36 inf + 0 100.615 * * [simplify]: Extracting #2: cost 187 inf + 1 100.616 * * [simplify]: Extracting #3: cost 239 inf + 2432 100.619 * * [simplify]: Extracting #4: cost 187 inf + 16362 100.628 * * [simplify]: Extracting #5: cost 27 inf + 54570 100.641 * * [simplify]: Extracting #6: cost 0 inf + 62493 100.672 * [simplify]: Simplified to (- (/ (log (* (* PI 2) n)) (/ 2 (- 1 k))) (log (sqrt k))) 100.672 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (log (* (* PI 2) n)) (/ 2 (- 1 k))) (log (sqrt k))))) 100.672 * * * * [progress]: [ 146 / 315 ] simplifiying candidate # 100.673 * [simplify]: Simplifying (- (log 1) (- (log (sqrt k)) (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 100.673 * * [simplify]: iters left: 6 (16 enodes) 100.683 * * [simplify]: iters left: 5 (71 enodes) 100.706 * * [simplify]: iters left: 4 (127 enodes) 100.736 * * [simplify]: iters left: 3 (295 enodes) 100.881 * * [simplify]: Extracting #0: cost 1 inf + 0 100.881 * * [simplify]: Extracting #1: cost 40 inf + 0 100.882 * * [simplify]: Extracting #2: cost 230 inf + 1 100.883 * * [simplify]: Extracting #3: cost 324 inf + 77 100.885 * * [simplify]: Extracting #4: cost 273 inf + 8234 100.902 * * [simplify]: Extracting #5: cost 84 inf + 52486 100.919 * * [simplify]: Extracting #6: cost 5 inf + 74886 100.933 * * [simplify]: Extracting #7: cost 0 inf + 76578 100.956 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (log (sqrt k))) 100.956 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (log (sqrt k))))) 100.956 * * * * [progress]: [ 147 / 315 ] simplifiying candidate # 100.956 * [simplify]: Simplifying (- (log 1) (log (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 100.956 * * [simplify]: iters left: 6 (15 enodes) 100.965 * * [simplify]: iters left: 5 (65 enodes) 100.981 * * [simplify]: iters left: 4 (104 enodes) 101.000 * * [simplify]: iters left: 3 (195 enodes) 101.076 * * [simplify]: Extracting #0: cost 1 inf + 0 101.076 * * [simplify]: Extracting #1: cost 11 inf + 0 101.077 * * [simplify]: Extracting #2: cost 104 inf + 1 101.078 * * [simplify]: Extracting #3: cost 173 inf + 3 101.079 * * [simplify]: Extracting #4: cost 201 inf + 329 101.082 * * [simplify]: Extracting #5: cost 133 inf + 12247 101.096 * * [simplify]: Extracting #6: cost 35 inf + 36476 101.111 * * [simplify]: Extracting #7: cost 0 inf + 48984 101.126 * [simplify]: Simplified to (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* (* 2 PI) n))))) 101.126 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* (* 2 PI) n))))))) 101.126 * * * * [progress]: [ 148 / 315 ] simplifiying candidate # 101.126 * * * * [progress]: [ 149 / 315 ] simplifiying candidate # 101.126 * * * * [progress]: [ 150 / 315 ] simplifiying candidate # 101.127 * [simplify]: Simplifying (/ (* (* 1 1) 1) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 101.127 * * [simplify]: iters left: 6 (19 enodes) 101.137 * * [simplify]: iters left: 5 (79 enodes) 101.167 * * [simplify]: iters left: 4 (195 enodes) 101.227 * * [simplify]: Extracting #0: cost 1 inf + 0 101.227 * * [simplify]: Extracting #1: cost 50 inf + 0 101.228 * * [simplify]: Extracting #2: cost 125 inf + 124 101.228 * * [simplify]: Extracting #3: cost 161 inf + 535 101.229 * * [simplify]: Extracting #4: cost 160 inf + 955 101.231 * * [simplify]: Extracting #5: cost 120 inf + 11204 101.239 * * [simplify]: Extracting #6: cost 22 inf + 64570 101.251 * * [simplify]: Extracting #7: cost 0 inf + 79760 101.263 * [simplify]: Simplified to (/ (* (* (pow (* (* n 2) PI) (/ (- 1 k) 2)) (pow (* (* n 2) PI) (/ (- 1 k) 2))) (pow (* (* n 2) PI) (/ (- 1 k) 2))) (* k (sqrt k))) 101.263 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (/ (* (* (pow (* (* n 2) PI) (/ (- 1 k) 2)) (pow (* (* n 2) PI) (/ (- 1 k) 2))) (pow (* (* n 2) PI) (/ (- 1 k) 2))) (* k (sqrt k))))) 101.263 * * * * [progress]: [ 151 / 315 ] simplifiying candidate # 101.264 * [simplify]: Simplifying (/ (* (* 1 1) 1) (* (* (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 101.264 * * [simplify]: iters left: 6 (17 enodes) 101.269 * * [simplify]: iters left: 5 (74 enodes) 101.286 * * [simplify]: iters left: 4 (166 enodes) 101.333 * * [simplify]: iters left: 3 (450 enodes) 101.857 * * [simplify]: Extracting #0: cost 1 inf + 0 101.857 * * [simplify]: Extracting #1: cost 82 inf + 0 101.859 * * [simplify]: Extracting #2: cost 363 inf + 1 101.862 * * [simplify]: Extracting #3: cost 437 inf + 249 101.869 * * [simplify]: Extracting #4: cost 342 inf + 47304 101.915 * * [simplify]: Extracting #5: cost 62 inf + 243731 101.975 * * [simplify]: Extracting #6: cost 0 inf + 289076 102.067 * * [simplify]: Extracting #7: cost 0 inf + 283842 102.129 * * [simplify]: Extracting #8: cost 0 inf + 281199 102.199 * * [simplify]: Extracting #9: cost 0 inf + 280979 102.254 * [simplify]: Simplified to (/ 1 (* (* (/ (sqrt k) (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ (sqrt k) (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (/ (sqrt k) (pow (* (* PI 2) n) (/ (- 1 k) 2))))) 102.254 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (/ 1 (* (* (/ (sqrt k) (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ (sqrt k) (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (/ (sqrt k) (pow (* (* PI 2) n) (/ (- 1 k) 2))))))) 102.254 * * * * [progress]: [ 152 / 315 ] simplifiying candidate # 102.254 * * * * [progress]: [ 153 / 315 ] simplifiying candidate # 102.255 * * * * [progress]: [ 154 / 315 ] simplifiying candidate # 102.255 * * * * [progress]: [ 155 / 315 ] simplifiying candidate # 102.255 * * * * [progress]: [ 156 / 315 ] simplifiying candidate # 102.255 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 102.255 * * [simplify]: iters left: 6 (17 enodes) 102.265 * * [simplify]: iters left: 5 (72 enodes) 102.291 * * [simplify]: iters left: 4 (117 enodes) 102.321 * * [simplify]: iters left: 3 (192 enodes) 102.369 * * [simplify]: iters left: 2 (299 enodes) 102.417 * * [simplify]: iters left: 1 (482 enodes) 102.568 * * [simplify]: Extracting #0: cost 1 inf + 0 102.568 * * [simplify]: Extracting #1: cost 6 inf + 0 102.568 * * [simplify]: Extracting #2: cost 9 inf + 1 102.568 * * [simplify]: Extracting #3: cost 14 inf + 1 102.568 * * [simplify]: Extracting #4: cost 54 inf + 1 102.568 * * [simplify]: Extracting #5: cost 147 inf + 85 102.569 * * [simplify]: Extracting #6: cost 206 inf + 964 102.572 * * [simplify]: Extracting #7: cost 138 inf + 8437 102.578 * * [simplify]: Extracting #8: cost 55 inf + 42051 102.597 * * [simplify]: Extracting #9: cost 1 inf + 87485 102.616 * * [simplify]: Extracting #10: cost 0 inf + 87388 102.629 * [simplify]: Simplified to (/ 1 (* (cbrt (/ (sqrt k) (pow (* (* PI 2) n) (* 1/2 (- 1 k))))) (cbrt (/ (sqrt k) (pow (* (* PI 2) n) (* 1/2 (- 1 k))))))) 102.629 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* (* PI 2) n) (* 1/2 (- 1 k))))) (cbrt (/ (sqrt k) (pow (* (* PI 2) n) (* 1/2 (- 1 k))))))) (/ (cbrt 1) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 102.629 * [simplify]: Simplifying (/ (cbrt 1) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 102.629 * * [simplify]: iters left: 6 (15 enodes) 102.634 * * [simplify]: iters left: 5 (60 enodes) 102.644 * * [simplify]: iters left: 4 (91 enodes) 102.660 * * [simplify]: iters left: 3 (135 enodes) 102.701 * * [simplify]: iters left: 2 (237 enodes) 102.779 * * [simplify]: iters left: 1 (422 enodes) 102.929 * * [simplify]: Extracting #0: cost 1 inf + 0 102.929 * * [simplify]: Extracting #1: cost 4 inf + 0 102.929 * * [simplify]: Extracting #2: cost 5 inf + 1 102.929 * * [simplify]: Extracting #3: cost 10 inf + 1 102.929 * * [simplify]: Extracting #4: cost 42 inf + 1 102.930 * * [simplify]: Extracting #5: cost 128 inf + 85 102.932 * * [simplify]: Extracting #6: cost 182 inf + 801 102.937 * * [simplify]: Extracting #7: cost 105 inf + 18045 102.955 * * [simplify]: Extracting #8: cost 11 inf + 67020 102.967 * * [simplify]: Extracting #9: cost 0 inf + 72197 102.982 * * [simplify]: Extracting #10: cost 0 inf + 71661 102.995 * * [simplify]: Extracting #11: cost 0 inf + 71620 103.014 * [simplify]: Simplified to (/ 1 (cbrt (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 103.014 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ 1 (cbrt (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))) 103.014 * * * * [progress]: [ 157 / 315 ] simplifiying candidate # 103.015 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 103.015 * * [simplify]: iters left: 6 (16 enodes) 103.024 * * [simplify]: iters left: 5 (65 enodes) 103.045 * * [simplify]: iters left: 4 (96 enodes) 103.074 * * [simplify]: iters left: 3 (141 enodes) 103.113 * * [simplify]: iters left: 2 (244 enodes) 103.175 * * [simplify]: iters left: 1 (427 enodes) 103.332 * * [simplify]: Extracting #0: cost 1 inf + 0 103.332 * * [simplify]: Extracting #1: cost 4 inf + 0 103.332 * * [simplify]: Extracting #2: cost 5 inf + 1 103.332 * * [simplify]: Extracting #3: cost 10 inf + 1 103.332 * * [simplify]: Extracting #4: cost 43 inf + 1 103.333 * * [simplify]: Extracting #5: cost 140 inf + 85 103.334 * * [simplify]: Extracting #6: cost 184 inf + 468 103.335 * * [simplify]: Extracting #7: cost 135 inf + 7175 103.340 * * [simplify]: Extracting #8: cost 68 inf + 26457 103.349 * * [simplify]: Extracting #9: cost 17 inf + 68206 103.365 * * [simplify]: Extracting #10: cost 0 inf + 81936 103.378 * * [simplify]: Extracting #11: cost 0 inf + 81646 103.400 * [simplify]: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2))))) 103.400 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2))))) (/ (cbrt 1) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 103.400 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 103.400 * * [simplify]: iters left: 6 (15 enodes) 103.409 * * [simplify]: iters left: 5 (60 enodes) 103.423 * * [simplify]: iters left: 4 (91 enodes) 103.438 * * [simplify]: iters left: 3 (135 enodes) 103.476 * * [simplify]: iters left: 2 (237 enodes) 103.550 * * [simplify]: iters left: 1 (422 enodes) 103.740 * * [simplify]: Extracting #0: cost 1 inf + 0 103.740 * * [simplify]: Extracting #1: cost 4 inf + 0 103.740 * * [simplify]: Extracting #2: cost 5 inf + 1 103.740 * * [simplify]: Extracting #3: cost 10 inf + 1 103.740 * * [simplify]: Extracting #4: cost 42 inf + 1 103.741 * * [simplify]: Extracting #5: cost 128 inf + 85 103.743 * * [simplify]: Extracting #6: cost 182 inf + 801 103.748 * * [simplify]: Extracting #7: cost 105 inf + 17925 103.767 * * [simplify]: Extracting #8: cost 11 inf + 66860 103.792 * * [simplify]: Extracting #9: cost 0 inf + 72037 103.816 * * [simplify]: Extracting #10: cost 0 inf + 71501 103.840 * * [simplify]: Extracting #11: cost 0 inf + 71460 103.867 * [simplify]: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 103.867 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ 1 (sqrt (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))) 103.867 * * * * [progress]: [ 158 / 315 ] simplifiying candidate # 103.867 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2)))) 103.868 * * [simplify]: iters left: 6 (14 enodes) 103.876 * * [simplify]: iters left: 5 (59 enodes) 103.890 * * [simplify]: iters left: 4 (105 enodes) 103.909 * * [simplify]: iters left: 3 (218 enodes) 104.007 * * [simplify]: Extracting #0: cost 1 inf + 0 104.008 * * [simplify]: Extracting #1: cost 42 inf + 0 104.008 * * [simplify]: Extracting #2: cost 118 inf + 1 104.008 * * [simplify]: Extracting #3: cost 148 inf + 3 104.009 * * [simplify]: Extracting #4: cost 140 inf + 1026 104.011 * * [simplify]: Extracting #5: cost 89 inf + 11783 104.016 * * [simplify]: Extracting #6: cost 45 inf + 28451 104.030 * * [simplify]: Extracting #7: cost 2 inf + 56810 104.043 * * [simplify]: Extracting #8: cost 0 inf + 58010 104.050 * [simplify]: Simplified to (/ (/ (pow n (/ (- 1 k) 2)) (cbrt (sqrt k))) (cbrt (sqrt k))) 104.051 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 104.051 * [simplify]: Simplifying (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 104.051 * * [simplify]: iters left: 6 (13 enodes) 104.055 * * [simplify]: iters left: 5 (53 enodes) 104.066 * * [simplify]: iters left: 4 (89 enodes) 104.082 * * [simplify]: iters left: 3 (148 enodes) 104.116 * * [simplify]: iters left: 2 (312 enodes) 104.262 * * [simplify]: Extracting #0: cost 1 inf + 0 104.262 * * [simplify]: Extracting #1: cost 52 inf + 0 104.263 * * [simplify]: Extracting #2: cost 132 inf + 1 104.263 * * [simplify]: Extracting #3: cost 181 inf + 3 104.264 * * [simplify]: Extracting #4: cost 170 inf + 1410 104.267 * * [simplify]: Extracting #5: cost 115 inf + 19554 104.277 * * [simplify]: Extracting #6: cost 30 inf + 70130 104.292 * * [simplify]: Extracting #7: cost 0 inf + 90044 104.317 * * [simplify]: Extracting #8: cost 0 inf + 88887 104.330 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k))) 104.331 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k))))) 104.331 * * * * [progress]: [ 159 / 315 ] simplifiying candidate # 104.331 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 104.331 * * [simplify]: iters left: 6 (19 enodes) 104.339 * * [simplify]: iters left: 5 (82 enodes) 104.360 * * [simplify]: iters left: 4 (145 enodes) 104.395 * * [simplify]: iters left: 3 (245 enodes) 104.450 * * [simplify]: iters left: 2 (438 enodes) 104.618 * * [simplify]: Extracting #0: cost 1 inf + 0 104.618 * * [simplify]: Extracting #1: cost 18 inf + 0 104.619 * * [simplify]: Extracting #2: cost 34 inf + 1 104.619 * * [simplify]: Extracting #3: cost 48 inf + 1 104.619 * * [simplify]: Extracting #4: cost 88 inf + 206 104.620 * * [simplify]: Extracting #5: cost 113 inf + 1508 104.622 * * [simplify]: Extracting #6: cost 65 inf + 13166 104.627 * * [simplify]: Extracting #7: cost 11 inf + 31726 104.634 * * [simplify]: Extracting #8: cost 1 inf + 38286 104.641 * * [simplify]: Extracting #9: cost 0 inf + 38873 104.648 * [simplify]: Simplified to (* (/ (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (sqrt k)))) 104.648 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (sqrt k)))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 104.648 * [simplify]: Simplifying (/ (cbrt 1) (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 104.649 * * [simplify]: iters left: 6 (16 enodes) 104.653 * * [simplify]: iters left: 5 (65 enodes) 104.664 * * [simplify]: iters left: 4 (101 enodes) 104.700 * * [simplify]: iters left: 3 (147 enodes) 104.732 * * [simplify]: iters left: 2 (258 enodes) 104.782 * * [simplify]: iters left: 1 (428 enodes) 104.944 * * [simplify]: Extracting #0: cost 1 inf + 0 104.945 * * [simplify]: Extracting #1: cost 7 inf + 0 104.945 * * [simplify]: Extracting #2: cost 12 inf + 1 104.945 * * [simplify]: Extracting #3: cost 43 inf + 1 104.945 * * [simplify]: Extracting #4: cost 116 inf + 327 104.946 * * [simplify]: Extracting #5: cost 171 inf + 1655 104.949 * * [simplify]: Extracting #6: cost 99 inf + 15218 104.961 * * [simplify]: Extracting #7: cost 19 inf + 52595 104.974 * * [simplify]: Extracting #8: cost 0 inf + 69981 104.987 * * [simplify]: Extracting #9: cost 0 inf + 69660 105.000 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k))) 105.000 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k))))) 105.000 * * * * [progress]: [ 160 / 315 ] simplifiying candidate # 105.000 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 105.000 * * [simplify]: iters left: 6 (18 enodes) 105.006 * * [simplify]: iters left: 5 (75 enodes) 105.019 * * [simplify]: iters left: 4 (119 enodes) 105.041 * * [simplify]: iters left: 3 (203 enodes) 105.112 * * [simplify]: iters left: 2 (368 enodes) 105.227 * * [simplify]: Extracting #0: cost 1 inf + 0 105.227 * * [simplify]: Extracting #1: cost 15 inf + 0 105.227 * * [simplify]: Extracting #2: cost 26 inf + 1 105.228 * * [simplify]: Extracting #3: cost 45 inf + 1 105.228 * * [simplify]: Extracting #4: cost 96 inf + 650 105.229 * * [simplify]: Extracting #5: cost 102 inf + 2581 105.233 * * [simplify]: Extracting #6: cost 49 inf + 13484 105.242 * * [simplify]: Extracting #7: cost 5 inf + 31412 105.253 * * [simplify]: Extracting #8: cost 0 inf + 35189 105.265 * [simplify]: Simplified to (/ (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 105.265 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 105.266 * [simplify]: Simplifying (/ (cbrt 1) (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 105.266 * * [simplify]: iters left: 6 (16 enodes) 105.278 * * [simplify]: iters left: 5 (65 enodes) 105.295 * * [simplify]: iters left: 4 (102 enodes) 105.312 * * [simplify]: iters left: 3 (148 enodes) 105.341 * * [simplify]: iters left: 2 (260 enodes) 105.389 * * [simplify]: iters left: 1 (424 enodes) 105.531 * * [simplify]: Extracting #0: cost 1 inf + 0 105.531 * * [simplify]: Extracting #1: cost 7 inf + 0 105.531 * * [simplify]: Extracting #2: cost 13 inf + 1 105.531 * * [simplify]: Extracting #3: cost 46 inf + 1 105.531 * * [simplify]: Extracting #4: cost 126 inf + 327 105.535 * * [simplify]: Extracting #5: cost 150 inf + 1736 105.539 * * [simplify]: Extracting #6: cost 84 inf + 14024 105.545 * * [simplify]: Extracting #7: cost 33 inf + 36097 105.560 * * [simplify]: Extracting #8: cost 0 inf + 65579 105.573 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k))) 105.573 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k))))) 105.573 * * * * [progress]: [ 161 / 315 ] simplifiying candidate # 105.573 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 105.573 * * [simplify]: iters left: 6 (9 enodes) 105.576 * * [simplify]: iters left: 5 (33 enodes) 105.582 * * [simplify]: iters left: 4 (60 enodes) 105.593 * * [simplify]: iters left: 3 (109 enodes) 105.638 * * [simplify]: iters left: 2 (121 enodes) 105.653 * * [simplify]: Extracting #0: cost 1 inf + 0 105.653 * * [simplify]: Extracting #1: cost 6 inf + 0 105.653 * * [simplify]: Extracting #2: cost 9 inf + 1 105.654 * * [simplify]: Extracting #3: cost 11 inf + 1 105.654 * * [simplify]: Extracting #4: cost 1 inf + 1255 105.654 * * [simplify]: Extracting #5: cost 0 inf + 1376 105.655 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 105.655 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 105.656 * [simplify]: Simplifying (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 105.656 * * [simplify]: iters left: 6 (15 enodes) 105.665 * * [simplify]: iters left: 5 (62 enodes) 105.684 * * [simplify]: iters left: 4 (102 enodes) 105.718 * * [simplify]: iters left: 3 (168 enodes) 105.790 * * [simplify]: iters left: 2 (350 enodes) 105.925 * * [simplify]: Extracting #0: cost 1 inf + 0 105.925 * * [simplify]: Extracting #1: cost 54 inf + 0 105.926 * * [simplify]: Extracting #2: cost 146 inf + 1 105.926 * * [simplify]: Extracting #3: cost 197 inf + 3 105.927 * * [simplify]: Extracting #4: cost 181 inf + 3477 105.929 * * [simplify]: Extracting #5: cost 140 inf + 11842 105.936 * * [simplify]: Extracting #6: cost 69 inf + 48456 105.951 * * [simplify]: Extracting #7: cost 4 inf + 99642 105.974 * * [simplify]: Extracting #8: cost 0 inf + 103498 106.002 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt k))) 106.002 * [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))))) 106.002 * * * * [progress]: [ 162 / 315 ] simplifiying candidate # 106.002 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 106.003 * * [simplify]: iters left: 6 (18 enodes) 106.014 * * [simplify]: iters left: 5 (78 enodes) 106.041 * * [simplify]: iters left: 4 (135 enodes) 106.088 * * [simplify]: iters left: 3 (270 enodes) 106.209 * * [simplify]: Extracting #0: cost 1 inf + 0 106.209 * * [simplify]: Extracting #1: cost 43 inf + 0 106.210 * * [simplify]: Extracting #2: cost 118 inf + 1 106.211 * * [simplify]: Extracting #3: cost 163 inf + 2 106.212 * * [simplify]: Extracting #4: cost 164 inf + 581 106.215 * * [simplify]: Extracting #5: cost 110 inf + 9347 106.223 * * [simplify]: Extracting #6: cost 50 inf + 30782 106.232 * * [simplify]: Extracting #7: cost 8 inf + 59687 106.242 * * [simplify]: Extracting #8: cost 0 inf + 65754 106.255 * [simplify]: Simplified to (/ (pow (* n (* PI 2)) (- 1/4 (/ k 4))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 106.255 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* n (* PI 2)) (- 1/4 (/ k 4))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 106.256 * [simplify]: Simplifying (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 106.256 * * [simplify]: iters left: 6 (16 enodes) 106.266 * * [simplify]: iters left: 5 (68 enodes) 106.285 * * [simplify]: iters left: 4 (115 enodes) 106.309 * * [simplify]: iters left: 3 (196 enodes) 106.363 * * [simplify]: iters left: 2 (406 enodes) 106.499 * * [simplify]: Extracting #0: cost 1 inf + 0 106.499 * * [simplify]: Extracting #1: cost 40 inf + 0 106.500 * * [simplify]: Extracting #2: cost 120 inf + 1 106.500 * * [simplify]: Extracting #3: cost 181 inf + 3 106.501 * * [simplify]: Extracting #4: cost 182 inf + 883 106.506 * * [simplify]: Extracting #5: cost 124 inf + 17271 106.526 * * [simplify]: Extracting #6: cost 24 inf + 70235 106.553 * * [simplify]: Extracting #7: cost 0 inf + 89262 106.579 * * [simplify]: Extracting #8: cost 0 inf + 88810 106.600 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (cbrt (sqrt k))) 106.600 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (cbrt (sqrt k))))) 106.600 * * * * [progress]: [ 163 / 315 ] simplifiying candidate # 106.600 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow n (/ (- 1 k) 2)))) 106.600 * * [simplify]: iters left: 6 (14 enodes) 106.605 * * [simplify]: iters left: 5 (58 enodes) 106.615 * * [simplify]: iters left: 4 (90 enodes) 106.641 * * [simplify]: iters left: 3 (152 enodes) 106.681 * * [simplify]: iters left: 2 (326 enodes) 106.779 * * [simplify]: Extracting #0: cost 1 inf + 0 106.780 * * [simplify]: Extracting #1: cost 45 inf + 0 106.780 * * [simplify]: Extracting #2: cost 138 inf + 1 106.780 * * [simplify]: Extracting #3: cost 185 inf + 4 106.782 * * [simplify]: Extracting #4: cost 175 inf + 2864 106.787 * * [simplify]: Extracting #5: cost 122 inf + 15019 106.797 * * [simplify]: Extracting #6: cost 44 inf + 57831 106.808 * * [simplify]: Extracting #7: cost 1 inf + 88379 106.819 * * [simplify]: Extracting #8: cost 0 inf + 88593 106.837 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) 106.837 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 106.837 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 106.838 * * [simplify]: iters left: 6 (13 enodes) 106.845 * * [simplify]: iters left: 5 (53 enodes) 106.863 * * [simplify]: iters left: 4 (89 enodes) 106.878 * * [simplify]: iters left: 3 (148 enodes) 106.919 * * [simplify]: iters left: 2 (312 enodes) 107.092 * * [simplify]: Extracting #0: cost 1 inf + 0 107.092 * * [simplify]: Extracting #1: cost 52 inf + 0 107.093 * * [simplify]: Extracting #2: cost 132 inf + 1 107.094 * * [simplify]: Extracting #3: cost 181 inf + 3 107.096 * * [simplify]: Extracting #4: cost 170 inf + 1490 107.101 * * [simplify]: Extracting #5: cost 115 inf + 19634 107.121 * * [simplify]: Extracting #6: cost 30 inf + 70210 107.142 * * [simplify]: Extracting #7: cost 0 inf + 90124 107.155 * * [simplify]: Extracting #8: cost 0 inf + 88967 107.170 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k))) 107.170 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 107.171 * * * * [progress]: [ 164 / 315 ] simplifiying candidate # 107.171 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 107.171 * * [simplify]: iters left: 6 (19 enodes) 107.181 * * [simplify]: iters left: 5 (79 enodes) 107.203 * * [simplify]: iters left: 4 (117 enodes) 107.222 * * [simplify]: iters left: 3 (176 enodes) 107.256 * * [simplify]: iters left: 2 (292 enodes) 107.332 * * [simplify]: iters left: 1 (481 enodes) 107.553 * * [simplify]: Extracting #0: cost 1 inf + 0 107.553 * * [simplify]: Extracting #1: cost 10 inf + 0 107.553 * * [simplify]: Extracting #2: cost 19 inf + 1 107.553 * * [simplify]: Extracting #3: cost 51 inf + 1 107.554 * * [simplify]: Extracting #4: cost 119 inf + 973 107.556 * * [simplify]: Extracting #5: cost 187 inf + 1560 107.562 * * [simplify]: Extracting #6: cost 117 inf + 12259 107.576 * * [simplify]: Extracting #7: cost 25 inf + 53566 107.600 * * [simplify]: Extracting #8: cost 0 inf + 74831 107.627 * * [simplify]: Extracting #9: cost 0 inf + 72462 107.649 * * [simplify]: Extracting #10: cost 0 inf + 71917 107.673 * [simplify]: Simplified to (* (cbrt (pow (* (* n 2) PI) (* 1/2 (- 1 k)))) (/ (cbrt (pow (* (* n 2) PI) (* 1/2 (- 1 k)))) (fabs (cbrt k)))) 107.673 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* (* n 2) PI) (* 1/2 (- 1 k)))) (/ (cbrt (pow (* (* n 2) PI) (* 1/2 (- 1 k)))) (fabs (cbrt k)))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 107.673 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 107.673 * * [simplify]: iters left: 6 (16 enodes) 107.683 * * [simplify]: iters left: 5 (65 enodes) 107.704 * * [simplify]: iters left: 4 (101 enodes) 107.735 * * [simplify]: iters left: 3 (147 enodes) 107.783 * * [simplify]: iters left: 2 (258 enodes) 107.838 * * [simplify]: iters left: 1 (428 enodes) 108.043 * * [simplify]: Extracting #0: cost 1 inf + 0 108.043 * * [simplify]: Extracting #1: cost 7 inf + 0 108.043 * * [simplify]: Extracting #2: cost 12 inf + 1 108.044 * * [simplify]: Extracting #3: cost 43 inf + 1 108.044 * * [simplify]: Extracting #4: cost 116 inf + 407 108.046 * * [simplify]: Extracting #5: cost 171 inf + 1735 108.052 * * [simplify]: Extracting #6: cost 99 inf + 15298 108.070 * * [simplify]: Extracting #7: cost 19 inf + 52675 108.097 * * [simplify]: Extracting #8: cost 0 inf + 70061 108.126 * * [simplify]: Extracting #9: cost 0 inf + 69740 108.152 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt k))) 108.152 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt k))))) 108.152 * * * * [progress]: [ 165 / 315 ] simplifiying candidate # 108.153 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 108.153 * * [simplify]: iters left: 6 (18 enodes) 108.163 * * [simplify]: iters left: 5 (74 enodes) 108.189 * * [simplify]: iters left: 4 (111 enodes) 108.224 * * [simplify]: iters left: 3 (162 enodes) 108.272 * * [simplify]: iters left: 2 (270 enodes) 108.350 * * [simplify]: iters left: 1 (463 enodes) 108.542 * * [simplify]: Extracting #0: cost 1 inf + 0 108.542 * * [simplify]: Extracting #1: cost 7 inf + 0 108.542 * * [simplify]: Extracting #2: cost 14 inf + 1 108.542 * * [simplify]: Extracting #3: cost 44 inf + 1 108.543 * * [simplify]: Extracting #4: cost 133 inf + 286 108.544 * * [simplify]: Extracting #5: cost 189 inf + 621 108.546 * * [simplify]: Extracting #6: cost 107 inf + 13161 108.552 * * [simplify]: Extracting #7: cost 40 inf + 34181 108.567 * * [simplify]: Extracting #8: cost 5 inf + 66170 108.593 * * [simplify]: Extracting #9: cost 0 inf + 70216 108.612 * * [simplify]: Extracting #10: cost 0 inf + 69277 108.623 * [simplify]: Simplified to (/ (sqrt (pow (* (* n 2) PI) (* 1/2 (- 1 k)))) (fabs (cbrt k))) 108.623 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (* 1/2 (- 1 k)))) (fabs (cbrt k))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 108.623 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 108.623 * * [simplify]: iters left: 6 (16 enodes) 108.628 * * [simplify]: iters left: 5 (65 enodes) 108.639 * * [simplify]: iters left: 4 (102 enodes) 108.659 * * [simplify]: iters left: 3 (148 enodes) 108.711 * * [simplify]: iters left: 2 (260 enodes) 108.772 * * [simplify]: iters left: 1 (424 enodes) 108.935 * * [simplify]: Extracting #0: cost 1 inf + 0 108.935 * * [simplify]: Extracting #1: cost 7 inf + 0 108.935 * * [simplify]: Extracting #2: cost 13 inf + 1 108.935 * * [simplify]: Extracting #3: cost 46 inf + 1 108.936 * * [simplify]: Extracting #4: cost 126 inf + 407 108.938 * * [simplify]: Extracting #5: cost 150 inf + 1816 108.943 * * [simplify]: Extracting #6: cost 84 inf + 14104 108.956 * * [simplify]: Extracting #7: cost 33 inf + 36177 108.976 * * [simplify]: Extracting #8: cost 0 inf + 65659 108.996 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt k))) 108.996 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt k))))) 108.997 * * * * [progress]: [ 166 / 315 ] simplifiying candidate # 108.997 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) 1)) 108.997 * * [simplify]: iters left: 6 (9 enodes) 109.002 * * [simplify]: iters left: 5 (31 enodes) 109.012 * * [simplify]: iters left: 4 (34 enodes) 109.021 * * [simplify]: Extracting #0: cost 1 inf + 0 109.021 * * [simplify]: Extracting #1: cost 4 inf + 0 109.021 * * [simplify]: Extracting #2: cost 6 inf + 1 109.021 * * [simplify]: Extracting #3: cost 9 inf + 1 109.021 * * [simplify]: Extracting #4: cost 0 inf + 972 109.022 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 109.022 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 109.022 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 109.022 * * [simplify]: iters left: 6 (15 enodes) 109.036 * * [simplify]: iters left: 5 (62 enodes) 109.056 * * [simplify]: iters left: 4 (102 enodes) 109.090 * * [simplify]: iters left: 3 (168 enodes) 109.164 * * [simplify]: iters left: 2 (350 enodes) 109.317 * * [simplify]: Extracting #0: cost 1 inf + 0 109.317 * * [simplify]: Extracting #1: cost 54 inf + 0 109.318 * * [simplify]: Extracting #2: cost 146 inf + 1 109.320 * * [simplify]: Extracting #3: cost 197 inf + 3 109.322 * * [simplify]: Extracting #4: cost 181 inf + 3557 109.326 * * [simplify]: Extracting #5: cost 140 inf + 11922 109.339 * * [simplify]: Extracting #6: cost 69 inf + 48536 109.365 * * [simplify]: Extracting #7: cost 4 inf + 99722 109.383 * * [simplify]: Extracting #8: cost 0 inf + 103578 109.400 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt k))) 109.400 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 109.400 * * * * [progress]: [ 167 / 315 ] simplifiying candidate # 109.401 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 109.401 * * [simplify]: iters left: 6 (18 enodes) 109.407 * * [simplify]: iters left: 5 (77 enodes) 109.421 * * [simplify]: iters left: 4 (121 enodes) 109.444 * * [simplify]: iters left: 3 (197 enodes) 109.513 * * [simplify]: iters left: 2 (387 enodes) 109.645 * * [simplify]: Extracting #0: cost 1 inf + 0 109.645 * * [simplify]: Extracting #1: cost 48 inf + 0 109.646 * * [simplify]: Extracting #2: cost 133 inf + 1 109.647 * * [simplify]: Extracting #3: cost 197 inf + 3 109.649 * * [simplify]: Extracting #4: cost 185 inf + 4093 109.657 * * [simplify]: Extracting #5: cost 113 inf + 23881 109.684 * * [simplify]: Extracting #6: cost 15 inf + 87330 109.712 * * [simplify]: Extracting #7: cost 0 inf + 99540 109.742 * * [simplify]: Extracting #8: cost 0 inf + 99289 109.763 * [simplify]: Simplified to (/ (pow (* n (* PI 2)) (- 1/4 (/ k 4))) (fabs (cbrt k))) 109.764 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* n (* PI 2)) (- 1/4 (/ k 4))) (fabs (cbrt k))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 109.764 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 109.764 * * [simplify]: iters left: 6 (16 enodes) 109.769 * * [simplify]: iters left: 5 (68 enodes) 109.782 * * [simplify]: iters left: 4 (115 enodes) 109.821 * * [simplify]: iters left: 3 (196 enodes) 109.879 * * [simplify]: iters left: 2 (406 enodes) 110.075 * * [simplify]: Extracting #0: cost 1 inf + 0 110.075 * * [simplify]: Extracting #1: cost 40 inf + 0 110.076 * * [simplify]: Extracting #2: cost 120 inf + 1 110.077 * * [simplify]: Extracting #3: cost 181 inf + 3 110.079 * * [simplify]: Extracting #4: cost 182 inf + 963 110.085 * * [simplify]: Extracting #5: cost 124 inf + 17351 110.104 * * [simplify]: Extracting #6: cost 24 inf + 70315 110.131 * * [simplify]: Extracting #7: cost 0 inf + 89342 110.158 * * [simplify]: Extracting #8: cost 0 inf + 88890 110.188 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (cbrt k))) 110.188 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (cbrt k))))) 110.189 * * * * [progress]: [ 168 / 315 ] simplifiying candidate # 110.189 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) 110.189 * * [simplify]: iters left: 6 (13 enodes) 110.197 * * [simplify]: iters left: 5 (54 enodes) 110.216 * * [simplify]: iters left: 4 (90 enodes) 110.246 * * [simplify]: iters left: 3 (154 enodes) 110.309 * * [simplify]: iters left: 2 (313 enodes) 110.430 * * [simplify]: Extracting #0: cost 1 inf + 0 110.430 * * [simplify]: Extracting #1: cost 47 inf + 0 110.431 * * [simplify]: Extracting #2: cost 131 inf + 1 110.432 * * [simplify]: Extracting #3: cost 181 inf + 4 110.432 * * [simplify]: Extracting #4: cost 170 inf + 2699 110.434 * * [simplify]: Extracting #5: cost 131 inf + 8451 110.439 * * [simplify]: Extracting #6: cost 55 inf + 45476 110.451 * * [simplify]: Extracting #7: cost 1 inf + 82070 110.473 * * [simplify]: Extracting #8: cost 0 inf + 82815 110.495 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 110.495 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 110.496 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 110.496 * * [simplify]: iters left: 6 (13 enodes) 110.504 * * [simplify]: iters left: 5 (53 enodes) 110.523 * * [simplify]: iters left: 4 (89 enodes) 110.555 * * [simplify]: iters left: 3 (148 enodes) 110.611 * * [simplify]: iters left: 2 (312 enodes) 110.730 * * [simplify]: Extracting #0: cost 1 inf + 0 110.730 * * [simplify]: Extracting #1: cost 52 inf + 0 110.731 * * [simplify]: Extracting #2: cost 132 inf + 1 110.732 * * [simplify]: Extracting #3: cost 181 inf + 3 110.734 * * [simplify]: Extracting #4: cost 170 inf + 1290 110.739 * * [simplify]: Extracting #5: cost 115 inf + 19114 110.750 * * [simplify]: Extracting #6: cost 30 inf + 67930 110.763 * * [simplify]: Extracting #7: cost 0 inf + 86804 110.778 * * [simplify]: Extracting #8: cost 0 inf + 85647 110.802 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 110.802 * [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))))) 110.802 * * * * [progress]: [ 169 / 315 ] simplifiying candidate # 110.802 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 110.802 * * [simplify]: iters left: 6 (18 enodes) 110.807 * * [simplify]: iters left: 5 (75 enodes) 110.821 * * [simplify]: iters left: 4 (113 enodes) 110.850 * * [simplify]: iters left: 3 (172 enodes) 110.888 * * [simplify]: iters left: 2 (291 enodes) 110.983 * * [simplify]: iters left: 1 (481 enodes) 111.153 * * [simplify]: Extracting #0: cost 1 inf + 0 111.153 * * [simplify]: Extracting #1: cost 10 inf + 0 111.153 * * [simplify]: Extracting #2: cost 18 inf + 1 111.154 * * [simplify]: Extracting #3: cost 49 inf + 1 111.155 * * [simplify]: Extracting #4: cost 133 inf + 328 111.156 * * [simplify]: Extracting #5: cost 187 inf + 997 111.160 * * [simplify]: Extracting #6: cost 137 inf + 9055 111.166 * * [simplify]: Extracting #7: cost 61 inf + 31962 111.177 * * [simplify]: Extracting #8: cost 3 inf + 80467 111.188 * * [simplify]: Extracting #9: cost 0 inf + 82423 111.211 * * [simplify]: Extracting #10: cost 0 inf + 82044 111.235 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 n) PI) (/ (- 1 k) 2)))) (sqrt (sqrt k))) 111.235 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 n) PI) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 111.238 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 111.239 * * [simplify]: iters left: 6 (16 enodes) 111.248 * * [simplify]: iters left: 5 (65 enodes) 111.268 * * [simplify]: iters left: 4 (101 enodes) 111.285 * * [simplify]: iters left: 3 (147 enodes) 111.332 * * [simplify]: iters left: 2 (258 enodes) 111.400 * * [simplify]: iters left: 1 (428 enodes) 111.585 * * [simplify]: Extracting #0: cost 1 inf + 0 111.585 * * [simplify]: Extracting #1: cost 7 inf + 0 111.585 * * [simplify]: Extracting #2: cost 12 inf + 1 111.586 * * [simplify]: Extracting #3: cost 43 inf + 1 111.586 * * [simplify]: Extracting #4: cost 116 inf + 247 111.588 * * [simplify]: Extracting #5: cost 171 inf + 1495 111.594 * * [simplify]: Extracting #6: cost 99 inf + 14938 111.612 * * [simplify]: Extracting #7: cost 19 inf + 52275 111.637 * * [simplify]: Extracting #8: cost 0 inf + 69661 111.663 * * [simplify]: Extracting #9: cost 0 inf + 69340 111.685 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 111.685 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 111.685 * * * * [progress]: [ 170 / 315 ] simplifiying candidate # 111.685 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 111.685 * * [simplify]: iters left: 6 (17 enodes) 111.690 * * [simplify]: iters left: 5 (70 enodes) 111.704 * * [simplify]: iters left: 4 (107 enodes) 111.728 * * [simplify]: iters left: 3 (158 enodes) 111.761 * * [simplify]: iters left: 2 (263 enodes) 111.834 * * [simplify]: iters left: 1 (435 enodes) 111.983 * * [simplify]: Extracting #0: cost 1 inf + 0 111.983 * * [simplify]: Extracting #1: cost 7 inf + 0 111.983 * * [simplify]: Extracting #2: cost 13 inf + 1 111.983 * * [simplify]: Extracting #3: cost 46 inf + 1 111.983 * * [simplify]: Extracting #4: cost 132 inf + 247 111.987 * * [simplify]: Extracting #5: cost 186 inf + 750 111.990 * * [simplify]: Extracting #6: cost 123 inf + 10753 111.996 * * [simplify]: Extracting #7: cost 35 inf + 41411 112.007 * * [simplify]: Extracting #8: cost 0 inf + 69818 112.028 * * [simplify]: Extracting #9: cost 0 inf + 69220 112.050 * [simplify]: Simplified to (/ (sqrt (pow (* PI (* 2 n)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 112.050 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* PI (* 2 n)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 112.051 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 112.051 * * [simplify]: iters left: 6 (16 enodes) 112.060 * * [simplify]: iters left: 5 (65 enodes) 112.082 * * [simplify]: iters left: 4 (102 enodes) 112.115 * * [simplify]: iters left: 3 (148 enodes) 112.170 * * [simplify]: iters left: 2 (260 enodes) 112.240 * * [simplify]: iters left: 1 (424 enodes) 112.395 * * [simplify]: Extracting #0: cost 1 inf + 0 112.395 * * [simplify]: Extracting #1: cost 7 inf + 0 112.395 * * [simplify]: Extracting #2: cost 13 inf + 1 112.395 * * [simplify]: Extracting #3: cost 46 inf + 1 112.396 * * [simplify]: Extracting #4: cost 126 inf + 247 112.398 * * [simplify]: Extracting #5: cost 150 inf + 1576 112.403 * * [simplify]: Extracting #6: cost 84 inf + 13744 112.414 * * [simplify]: Extracting #7: cost 33 inf + 35777 112.426 * * [simplify]: Extracting #8: cost 0 inf + 65259 112.439 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 112.439 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 112.440 * * * * [progress]: [ 171 / 315 ] simplifiying candidate # 112.440 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) 1)) 112.440 * * [simplify]: iters left: 6 (8 enodes) 112.442 * * [simplify]: iters left: 5 (28 enodes) 112.449 * * [simplify]: iters left: 4 (30 enodes) 112.456 * * [simplify]: iters left: 3 (31 enodes) 112.463 * * [simplify]: Extracting #0: cost 1 inf + 0 112.463 * * [simplify]: Extracting #1: cost 4 inf + 0 112.463 * * [simplify]: Extracting #2: cost 5 inf + 1 112.463 * * [simplify]: Extracting #3: cost 7 inf + 1 112.463 * * [simplify]: Extracting #4: cost 3 inf + 165 112.463 * * [simplify]: Extracting #5: cost 0 inf + 490 112.463 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 112.463 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 112.464 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 112.464 * * [simplify]: iters left: 6 (15 enodes) 112.468 * * [simplify]: iters left: 5 (62 enodes) 112.480 * * [simplify]: iters left: 4 (102 enodes) 112.497 * * [simplify]: iters left: 3 (168 enodes) 112.537 * * [simplify]: iters left: 2 (350 enodes) 112.684 * * [simplify]: Extracting #0: cost 1 inf + 0 112.684 * * [simplify]: Extracting #1: cost 54 inf + 0 112.685 * * [simplify]: Extracting #2: cost 146 inf + 1 112.686 * * [simplify]: Extracting #3: cost 197 inf + 3 112.689 * * [simplify]: Extracting #4: cost 181 inf + 3277 112.694 * * [simplify]: Extracting #5: cost 140 inf + 11442 112.702 * * [simplify]: Extracting #6: cost 69 inf + 46576 112.720 * * [simplify]: Extracting #7: cost 4 inf + 96402 112.734 * * [simplify]: Extracting #8: cost 0 inf + 100098 112.751 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 112.751 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 112.751 * * * * [progress]: [ 172 / 315 ] simplifiying candidate # 112.752 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 112.752 * * [simplify]: iters left: 6 (17 enodes) 112.760 * * [simplify]: iters left: 5 (73 enodes) 112.773 * * [simplify]: iters left: 4 (117 enodes) 112.798 * * [simplify]: iters left: 3 (193 enodes) 112.850 * * [simplify]: iters left: 2 (376 enodes) 113.000 * * [simplify]: Extracting #0: cost 1 inf + 0 113.000 * * [simplify]: Extracting #1: cost 41 inf + 0 113.001 * * [simplify]: Extracting #2: cost 126 inf + 1 113.001 * * [simplify]: Extracting #3: cost 186 inf + 3 113.003 * * [simplify]: Extracting #4: cost 169 inf + 5154 113.010 * * [simplify]: Extracting #5: cost 64 inf + 49356 113.026 * * [simplify]: Extracting #6: cost 8 inf + 85043 113.039 * * [simplify]: Extracting #7: cost 0 inf + 90415 113.062 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 113.062 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 113.063 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 113.063 * * [simplify]: iters left: 6 (16 enodes) 113.072 * * [simplify]: iters left: 5 (68 enodes) 113.095 * * [simplify]: iters left: 4 (115 enodes) 113.134 * * [simplify]: iters left: 3 (196 enodes) 113.186 * * [simplify]: iters left: 2 (406 enodes) 113.318 * * [simplify]: Extracting #0: cost 1 inf + 0 113.318 * * [simplify]: Extracting #1: cost 40 inf + 0 113.319 * * [simplify]: Extracting #2: cost 120 inf + 1 113.319 * * [simplify]: Extracting #3: cost 181 inf + 3 113.320 * * [simplify]: Extracting #4: cost 182 inf + 843 113.323 * * [simplify]: Extracting #5: cost 124 inf + 16791 113.332 * * [simplify]: Extracting #6: cost 24 inf + 68195 113.351 * * [simplify]: Extracting #7: cost 0 inf + 86342 113.379 * * [simplify]: Extracting #8: cost 0 inf + 85890 113.405 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 113.406 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))))) 113.406 * * * * [progress]: [ 173 / 315 ] simplifiying candidate # 113.406 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (pow n (/ (- 1 k) 2)))) 113.407 * * [simplify]: iters left: 6 (12 enodes) 113.417 * * [simplify]: iters left: 5 (51 enodes) 113.428 * * [simplify]: iters left: 4 (82 enodes) 113.442 * * [simplify]: iters left: 3 (131 enodes) 113.480 * * [simplify]: iters left: 2 (254 enodes) 113.555 * * [simplify]: Extracting #0: cost 1 inf + 0 113.555 * * [simplify]: Extracting #1: cost 22 inf + 0 113.555 * * [simplify]: Extracting #2: cost 90 inf + 3 113.556 * * [simplify]: Extracting #3: cost 135 inf + 6 113.556 * * [simplify]: Extracting #4: cost 131 inf + 344 113.558 * * [simplify]: Extracting #5: cost 83 inf + 6440 113.561 * * [simplify]: Extracting #6: cost 25 inf + 31798 113.573 * * [simplify]: Extracting #7: cost 1 inf + 48490 113.585 * * [simplify]: Extracting #8: cost 0 inf + 47917 113.595 * * [simplify]: Extracting #9: cost 0 inf + 47526 113.604 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 113.604 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (cbrt 1) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 113.604 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 113.604 * * [simplify]: iters left: 6 (12 enodes) 113.609 * * [simplify]: iters left: 5 (50 enodes) 113.618 * * [simplify]: iters left: 4 (86 enodes) 113.635 * * [simplify]: iters left: 3 (149 enodes) 113.673 * * [simplify]: iters left: 2 (314 enodes) 113.806 * * [simplify]: Extracting #0: cost 1 inf + 0 113.807 * * [simplify]: Extracting #1: cost 47 inf + 0 113.807 * * [simplify]: Extracting #2: cost 129 inf + 1 113.807 * * [simplify]: Extracting #3: cost 174 inf + 127 113.808 * * [simplify]: Extracting #4: cost 168 inf + 1129 113.810 * * [simplify]: Extracting #5: cost 125 inf + 10926 113.816 * * [simplify]: Extracting #6: cost 44 inf + 52003 113.828 * * [simplify]: Extracting #7: cost 0 inf + 83738 113.851 * * [simplify]: Extracting #8: cost 0 inf + 80065 113.863 * * [simplify]: Extracting #9: cost 0 inf + 79279 113.880 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 113.880 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 113.880 * * * * [progress]: [ 174 / 315 ] simplifiying candidate # 113.881 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 113.881 * * [simplify]: iters left: 6 (17 enodes) 113.893 * * [simplify]: iters left: 5 (72 enodes) 113.912 * * [simplify]: iters left: 4 (112 enodes) 113.931 * * [simplify]: iters left: 3 (165 enodes) 113.977 * * [simplify]: iters left: 2 (266 enodes) 114.032 * * [simplify]: iters left: 1 (449 enodes) 114.201 * * [simplify]: Extracting #0: cost 1 inf + 0 114.201 * * [simplify]: Extracting #1: cost 6 inf + 0 114.201 * * [simplify]: Extracting #2: cost 9 inf + 1 114.201 * * [simplify]: Extracting #3: cost 37 inf + 1 114.201 * * [simplify]: Extracting #4: cost 118 inf + 2 114.202 * * [simplify]: Extracting #5: cost 187 inf + 176 114.203 * * [simplify]: Extracting #6: cost 181 inf + 853 114.206 * * [simplify]: Extracting #7: cost 89 inf + 19504 114.214 * * [simplify]: Extracting #8: cost 17 inf + 57673 114.224 * * [simplify]: Extracting #9: cost 0 inf + 72059 114.243 * [simplify]: Simplified to (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 114.243 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (/ (cbrt 1) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 114.243 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 114.243 * * [simplify]: iters left: 6 (15 enodes) 114.248 * * [simplify]: iters left: 5 (62 enodes) 114.263 * * [simplify]: iters left: 4 (98 enodes) 114.279 * * [simplify]: iters left: 3 (144 enodes) 114.315 * * [simplify]: iters left: 2 (255 enodes) 114.388 * * [simplify]: iters left: 1 (425 enodes) 114.551 * * [simplify]: Extracting #0: cost 1 inf + 0 114.551 * * [simplify]: Extracting #1: cost 7 inf + 0 114.551 * * [simplify]: Extracting #2: cost 12 inf + 1 114.552 * * [simplify]: Extracting #3: cost 35 inf + 166 114.552 * * [simplify]: Extracting #4: cost 111 inf + 249 114.553 * * [simplify]: Extracting #5: cost 159 inf + 673 114.554 * * [simplify]: Extracting #6: cost 115 inf + 6009 114.562 * * [simplify]: Extracting #7: cost 39 inf + 33515 114.575 * * [simplify]: Extracting #8: cost 0 inf + 68367 114.594 * * [simplify]: Extracting #9: cost 0 inf + 67928 114.604 * [simplify]: Simplified to (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt k)) 114.604 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt k)))) 114.604 * * * * [progress]: [ 175 / 315 ] simplifiying candidate # 114.605 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 114.605 * * [simplify]: iters left: 6 (16 enodes) 114.611 * * [simplify]: iters left: 5 (67 enodes) 114.623 * * [simplify]: iters left: 4 (99 enodes) 114.652 * * [simplify]: iters left: 3 (140 enodes) 114.701 * * [simplify]: iters left: 2 (238 enodes) 114.756 * * [simplify]: iters left: 1 (419 enodes) 114.941 * * [simplify]: Extracting #0: cost 1 inf + 0 114.941 * * [simplify]: Extracting #1: cost 6 inf + 0 114.942 * * [simplify]: Extracting #2: cost 39 inf + 1 114.942 * * [simplify]: Extracting #3: cost 141 inf + 2 114.943 * * [simplify]: Extracting #4: cost 183 inf + 177 114.944 * * [simplify]: Extracting #5: cost 179 inf + 808 114.946 * * [simplify]: Extracting #6: cost 107 inf + 9585 114.952 * * [simplify]: Extracting #7: cost 50 inf + 33223 114.970 * * [simplify]: Extracting #8: cost 8 inf + 70072 114.988 * * [simplify]: Extracting #9: cost 0 inf + 73623 115.004 * * [simplify]: Extracting #10: cost 0 inf + 72547 115.025 * [simplify]: Simplified to (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) 115.025 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (/ (cbrt 1) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 115.025 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 115.025 * * [simplify]: iters left: 6 (15 enodes) 115.035 * * [simplify]: iters left: 5 (62 enodes) 115.055 * * [simplify]: iters left: 4 (99 enodes) 115.086 * * [simplify]: iters left: 3 (148 enodes) 115.140 * * [simplify]: iters left: 2 (265 enodes) 115.195 * * [simplify]: iters left: 1 (442 enodes) 115.361 * * [simplify]: Extracting #0: cost 1 inf + 0 115.361 * * [simplify]: Extracting #1: cost 7 inf + 0 115.361 * * [simplify]: Extracting #2: cost 13 inf + 1 115.361 * * [simplify]: Extracting #3: cost 39 inf + 84 115.362 * * [simplify]: Extracting #4: cost 125 inf + 167 115.363 * * [simplify]: Extracting #5: cost 164 inf + 1046 115.365 * * [simplify]: Extracting #6: cost 100 inf + 11579 115.377 * * [simplify]: Extracting #7: cost 28 inf + 41407 115.391 * * [simplify]: Extracting #8: cost 2 inf + 63914 115.402 * * [simplify]: Extracting #9: cost 0 inf + 65528 115.416 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt k)) 115.416 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt k)))) 115.416 * * * * [progress]: [ 176 / 315 ] simplifiying candidate # 115.416 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) 1)) 115.416 * * [simplify]: iters left: 5 (6 enodes) 115.421 * * [simplify]: iters left: 4 (22 enodes) 115.425 * * [simplify]: iters left: 3 (24 enodes) 115.428 * * [simplify]: Extracting #0: cost 1 inf + 0 115.428 * * [simplify]: Extracting #1: cost 0 inf + 1 115.428 * [simplify]: Simplified to 1 115.428 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 115.428 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 115.428 * * [simplify]: iters left: 6 (14 enodes) 115.433 * * [simplify]: iters left: 5 (59 enodes) 115.444 * * [simplify]: iters left: 4 (103 enodes) 115.473 * * [simplify]: iters left: 3 (167 enodes) 115.546 * * [simplify]: iters left: 2 (328 enodes) 115.725 * * [simplify]: Extracting #0: cost 1 inf + 0 115.725 * * [simplify]: Extracting #1: cost 55 inf + 0 115.726 * * [simplify]: Extracting #2: cost 149 inf + 1 115.728 * * [simplify]: Extracting #3: cost 198 inf + 86 115.730 * * [simplify]: Extracting #4: cost 186 inf + 3407 115.734 * * [simplify]: Extracting #5: cost 145 inf + 9578 115.748 * * [simplify]: Extracting #6: cost 59 inf + 56043 115.772 * * [simplify]: Extracting #7: cost 0 inf + 100430 115.803 * * [simplify]: Extracting #8: cost 0 inf + 99146 115.816 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)) 115.816 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)))) 115.816 * * * * [progress]: [ 177 / 315 ] simplifiying candidate # 115.816 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 115.816 * * [simplify]: iters left: 6 (16 enodes) 115.824 * * [simplify]: iters left: 5 (70 enodes) 115.838 * * [simplify]: iters left: 4 (112 enodes) 115.859 * * [simplify]: iters left: 3 (179 enodes) 115.926 * * [simplify]: iters left: 2 (339 enodes) 116.020 * * [simplify]: Extracting #0: cost 1 inf + 0 116.020 * * [simplify]: Extracting #1: cost 19 inf + 0 116.020 * * [simplify]: Extracting #2: cost 94 inf + 2 116.021 * * [simplify]: Extracting #3: cost 144 inf + 177 116.021 * * [simplify]: Extracting #4: cost 146 inf + 391 116.023 * * [simplify]: Extracting #5: cost 97 inf + 5066 116.026 * * [simplify]: Extracting #6: cost 31 inf + 31216 116.034 * * [simplify]: Extracting #7: cost 0 inf + 51797 116.048 * * [simplify]: Extracting #8: cost 0 inf + 51313 116.064 * [simplify]: Simplified to (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) 116.064 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 116.065 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 116.065 * * [simplify]: iters left: 6 (15 enodes) 116.075 * * [simplify]: iters left: 5 (65 enodes) 116.101 * * [simplify]: iters left: 4 (109 enodes) 116.139 * * [simplify]: iters left: 3 (183 enodes) 116.208 * * [simplify]: iters left: 2 (374 enodes) 116.343 * * [simplify]: Extracting #0: cost 1 inf + 0 116.343 * * [simplify]: Extracting #1: cost 42 inf + 0 116.343 * * [simplify]: Extracting #2: cost 133 inf + 1 116.344 * * [simplify]: Extracting #3: cost 186 inf + 45 116.345 * * [simplify]: Extracting #4: cost 175 inf + 3082 116.350 * * [simplify]: Extracting #5: cost 123 inf + 11441 116.366 * * [simplify]: Extracting #6: cost 38 inf + 60748 116.393 * * [simplify]: Extracting #7: cost 0 inf + 90611 116.413 * * [simplify]: Extracting #8: cost 0 inf + 90161 116.434 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt k)) 116.434 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt k)))) 116.434 * * * * [progress]: [ 178 / 315 ] simplifiying candidate # 116.435 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) 116.435 * * [simplify]: iters left: 6 (13 enodes) 116.443 * * [simplify]: iters left: 5 (54 enodes) 116.462 * * [simplify]: iters left: 4 (90 enodes) 116.492 * * [simplify]: iters left: 3 (154 enodes) 116.528 * * [simplify]: iters left: 2 (313 enodes) 116.665 * * [simplify]: Extracting #0: cost 1 inf + 0 116.666 * * [simplify]: Extracting #1: cost 47 inf + 0 116.666 * * [simplify]: Extracting #2: cost 131 inf + 1 116.668 * * [simplify]: Extracting #3: cost 181 inf + 4 116.669 * * [simplify]: Extracting #4: cost 170 inf + 2699 116.673 * * [simplify]: Extracting #5: cost 131 inf + 8451 116.684 * * [simplify]: Extracting #6: cost 55 inf + 45476 116.704 * * [simplify]: Extracting #7: cost 1 inf + 82070 116.726 * * [simplify]: Extracting #8: cost 0 inf + 82815 116.749 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 116.749 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 116.750 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 116.750 * * [simplify]: iters left: 6 (13 enodes) 116.758 * * [simplify]: iters left: 5 (53 enodes) 116.774 * * [simplify]: iters left: 4 (89 enodes) 116.792 * * [simplify]: iters left: 3 (148 enodes) 116.841 * * [simplify]: iters left: 2 (312 enodes) 116.971 * * [simplify]: Extracting #0: cost 1 inf + 0 116.971 * * [simplify]: Extracting #1: cost 52 inf + 0 116.972 * * [simplify]: Extracting #2: cost 132 inf + 1 116.972 * * [simplify]: Extracting #3: cost 181 inf + 3 116.973 * * [simplify]: Extracting #4: cost 170 inf + 1290 116.975 * * [simplify]: Extracting #5: cost 115 inf + 19114 116.985 * * [simplify]: Extracting #6: cost 30 inf + 67930 116.999 * * [simplify]: Extracting #7: cost 0 inf + 86804 117.017 * * [simplify]: Extracting #8: cost 0 inf + 85647 117.030 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 117.030 * [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))))) 117.030 * * * * [progress]: [ 179 / 315 ] simplifiying candidate # 117.030 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 117.031 * * [simplify]: iters left: 6 (18 enodes) 117.036 * * [simplify]: iters left: 5 (75 enodes) 117.052 * * [simplify]: iters left: 4 (113 enodes) 117.072 * * [simplify]: iters left: 3 (172 enodes) 117.107 * * [simplify]: iters left: 2 (291 enodes) 117.189 * * [simplify]: iters left: 1 (481 enodes) 117.391 * * [simplify]: Extracting #0: cost 1 inf + 0 117.391 * * [simplify]: Extracting #1: cost 10 inf + 0 117.391 * * [simplify]: Extracting #2: cost 18 inf + 1 117.392 * * [simplify]: Extracting #3: cost 49 inf + 1 117.392 * * [simplify]: Extracting #4: cost 133 inf + 328 117.393 * * [simplify]: Extracting #5: cost 187 inf + 997 117.395 * * [simplify]: Extracting #6: cost 137 inf + 9055 117.400 * * [simplify]: Extracting #7: cost 61 inf + 31962 117.411 * * [simplify]: Extracting #8: cost 3 inf + 80467 117.423 * * [simplify]: Extracting #9: cost 0 inf + 82423 117.440 * * [simplify]: Extracting #10: cost 0 inf + 82044 117.468 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 n) PI) (/ (- 1 k) 2)))) (sqrt (sqrt k))) 117.468 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 n) PI) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 117.469 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 117.469 * * [simplify]: iters left: 6 (16 enodes) 117.474 * * [simplify]: iters left: 5 (65 enodes) 117.485 * * [simplify]: iters left: 4 (101 enodes) 117.506 * * [simplify]: iters left: 3 (147 enodes) 117.545 * * [simplify]: iters left: 2 (258 enodes) 117.610 * * [simplify]: iters left: 1 (428 enodes) 117.775 * * [simplify]: Extracting #0: cost 1 inf + 0 117.775 * * [simplify]: Extracting #1: cost 7 inf + 0 117.775 * * [simplify]: Extracting #2: cost 12 inf + 1 117.775 * * [simplify]: Extracting #3: cost 43 inf + 1 117.775 * * [simplify]: Extracting #4: cost 116 inf + 247 117.776 * * [simplify]: Extracting #5: cost 171 inf + 1495 117.779 * * [simplify]: Extracting #6: cost 99 inf + 14938 117.788 * * [simplify]: Extracting #7: cost 19 inf + 52275 117.806 * * [simplify]: Extracting #8: cost 0 inf + 69661 117.828 * * [simplify]: Extracting #9: cost 0 inf + 69340 117.842 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 117.842 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 117.842 * * * * [progress]: [ 180 / 315 ] simplifiying candidate # 117.842 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 117.842 * * [simplify]: iters left: 6 (17 enodes) 117.847 * * [simplify]: iters left: 5 (70 enodes) 117.868 * * [simplify]: iters left: 4 (107 enodes) 117.902 * * [simplify]: iters left: 3 (158 enodes) 117.932 * * [simplify]: iters left: 2 (263 enodes) 117.993 * * [simplify]: iters left: 1 (435 enodes) 118.145 * * [simplify]: Extracting #0: cost 1 inf + 0 118.145 * * [simplify]: Extracting #1: cost 7 inf + 0 118.146 * * [simplify]: Extracting #2: cost 13 inf + 1 118.146 * * [simplify]: Extracting #3: cost 46 inf + 1 118.147 * * [simplify]: Extracting #4: cost 132 inf + 247 118.148 * * [simplify]: Extracting #5: cost 186 inf + 750 118.153 * * [simplify]: Extracting #6: cost 123 inf + 10753 118.165 * * [simplify]: Extracting #7: cost 35 inf + 41411 118.184 * * [simplify]: Extracting #8: cost 0 inf + 69818 118.195 * * [simplify]: Extracting #9: cost 0 inf + 69220 118.207 * [simplify]: Simplified to (/ (sqrt (pow (* PI (* 2 n)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 118.207 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* PI (* 2 n)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 118.207 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 118.207 * * [simplify]: iters left: 6 (16 enodes) 118.212 * * [simplify]: iters left: 5 (65 enodes) 118.226 * * [simplify]: iters left: 4 (102 enodes) 118.247 * * [simplify]: iters left: 3 (148 enodes) 118.276 * * [simplify]: iters left: 2 (260 enodes) 118.351 * * [simplify]: iters left: 1 (424 enodes) 118.530 * * [simplify]: Extracting #0: cost 1 inf + 0 118.530 * * [simplify]: Extracting #1: cost 7 inf + 0 118.530 * * [simplify]: Extracting #2: cost 13 inf + 1 118.530 * * [simplify]: Extracting #3: cost 46 inf + 1 118.531 * * [simplify]: Extracting #4: cost 126 inf + 247 118.532 * * [simplify]: Extracting #5: cost 150 inf + 1576 118.536 * * [simplify]: Extracting #6: cost 84 inf + 13744 118.547 * * [simplify]: Extracting #7: cost 33 inf + 35777 118.567 * * [simplify]: Extracting #8: cost 0 inf + 65259 118.592 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 118.592 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 118.592 * * * * [progress]: [ 181 / 315 ] simplifiying candidate # 118.593 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) 1)) 118.593 * * [simplify]: iters left: 6 (8 enodes) 118.598 * * [simplify]: iters left: 5 (28 enodes) 118.608 * * [simplify]: iters left: 4 (30 enodes) 118.615 * * [simplify]: iters left: 3 (31 enodes) 118.622 * * [simplify]: Extracting #0: cost 1 inf + 0 118.622 * * [simplify]: Extracting #1: cost 4 inf + 0 118.622 * * [simplify]: Extracting #2: cost 5 inf + 1 118.622 * * [simplify]: Extracting #3: cost 7 inf + 1 118.622 * * [simplify]: Extracting #4: cost 3 inf + 165 118.623 * * [simplify]: Extracting #5: cost 0 inf + 490 118.623 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 118.623 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 118.623 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 118.623 * * [simplify]: iters left: 6 (15 enodes) 118.628 * * [simplify]: iters left: 5 (62 enodes) 118.639 * * [simplify]: iters left: 4 (102 enodes) 118.664 * * [simplify]: iters left: 3 (168 enodes) 118.725 * * [simplify]: iters left: 2 (350 enodes) 118.879 * * [simplify]: Extracting #0: cost 1 inf + 0 118.879 * * [simplify]: Extracting #1: cost 54 inf + 0 118.880 * * [simplify]: Extracting #2: cost 146 inf + 1 118.881 * * [simplify]: Extracting #3: cost 197 inf + 3 118.883 * * [simplify]: Extracting #4: cost 181 inf + 3277 118.888 * * [simplify]: Extracting #5: cost 140 inf + 11442 118.901 * * [simplify]: Extracting #6: cost 69 inf + 46576 118.932 * * [simplify]: Extracting #7: cost 4 inf + 96402 118.959 * * [simplify]: Extracting #8: cost 0 inf + 100098 118.973 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 118.973 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 118.973 * * * * [progress]: [ 182 / 315 ] simplifiying candidate # 118.973 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 118.973 * * [simplify]: iters left: 6 (17 enodes) 118.979 * * [simplify]: iters left: 5 (73 enodes) 118.996 * * [simplify]: iters left: 4 (117 enodes) 119.019 * * [simplify]: iters left: 3 (193 enodes) 119.066 * * [simplify]: iters left: 2 (376 enodes) 119.239 * * [simplify]: Extracting #0: cost 1 inf + 0 119.239 * * [simplify]: Extracting #1: cost 41 inf + 0 119.240 * * [simplify]: Extracting #2: cost 126 inf + 1 119.241 * * [simplify]: Extracting #3: cost 186 inf + 3 119.248 * * [simplify]: Extracting #4: cost 169 inf + 5154 119.261 * * [simplify]: Extracting #5: cost 64 inf + 49356 119.287 * * [simplify]: Extracting #6: cost 8 inf + 85043 119.315 * * [simplify]: Extracting #7: cost 0 inf + 90415 119.342 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 119.342 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 119.343 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 119.343 * * [simplify]: iters left: 6 (16 enodes) 119.353 * * [simplify]: iters left: 5 (68 enodes) 119.375 * * [simplify]: iters left: 4 (115 enodes) 119.402 * * [simplify]: iters left: 3 (196 enodes) 119.449 * * [simplify]: iters left: 2 (406 enodes) 119.603 * * [simplify]: Extracting #0: cost 1 inf + 0 119.603 * * [simplify]: Extracting #1: cost 40 inf + 0 119.604 * * [simplify]: Extracting #2: cost 120 inf + 1 119.604 * * [simplify]: Extracting #3: cost 181 inf + 3 119.605 * * [simplify]: Extracting #4: cost 182 inf + 843 119.608 * * [simplify]: Extracting #5: cost 124 inf + 16791 119.617 * * [simplify]: Extracting #6: cost 24 inf + 68195 119.631 * * [simplify]: Extracting #7: cost 0 inf + 86342 119.656 * * [simplify]: Extracting #8: cost 0 inf + 85890 119.687 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 119.687 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))))) 119.687 * * * * [progress]: [ 183 / 315 ] simplifiying candidate # 119.688 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ 1 (pow n (/ (- 1 k) 2)))) 119.688 * * [simplify]: iters left: 6 (11 enodes) 119.696 * * [simplify]: iters left: 5 (48 enodes) 119.713 * * [simplify]: iters left: 4 (75 enodes) 119.739 * * [simplify]: iters left: 3 (125 enodes) 119.792 * * [simplify]: iters left: 2 (260 enodes) 119.873 * * [simplify]: Extracting #0: cost 1 inf + 0 119.873 * * [simplify]: Extracting #1: cost 21 inf + 0 119.873 * * [simplify]: Extracting #2: cost 86 inf + 3 119.874 * * [simplify]: Extracting #3: cost 129 inf + 7 119.875 * * [simplify]: Extracting #4: cost 123 inf + 1139 119.880 * * [simplify]: Extracting #5: cost 59 inf + 12738 119.889 * * [simplify]: Extracting #6: cost 21 inf + 30394 119.895 * * [simplify]: Extracting #7: cost 0 inf + 44780 119.901 * * [simplify]: Extracting #8: cost 0 inf + 44660 119.911 * * [simplify]: Extracting #9: cost 0 inf + 44580 119.917 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 119.917 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (cbrt 1) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 119.917 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 119.917 * * [simplify]: iters left: 6 (12 enodes) 119.922 * * [simplify]: iters left: 5 (50 enodes) 119.931 * * [simplify]: iters left: 4 (86 enodes) 119.946 * * [simplify]: iters left: 3 (149 enodes) 119.993 * * [simplify]: iters left: 2 (314 enodes) 120.146 * * [simplify]: Extracting #0: cost 1 inf + 0 120.146 * * [simplify]: Extracting #1: cost 47 inf + 0 120.147 * * [simplify]: Extracting #2: cost 129 inf + 1 120.148 * * [simplify]: Extracting #3: cost 174 inf + 127 120.150 * * [simplify]: Extracting #4: cost 168 inf + 1129 120.154 * * [simplify]: Extracting #5: cost 125 inf + 10926 120.166 * * [simplify]: Extracting #6: cost 44 inf + 52003 120.184 * * [simplify]: Extracting #7: cost 0 inf + 83738 120.195 * * [simplify]: Extracting #8: cost 0 inf + 80065 120.209 * * [simplify]: Extracting #9: cost 0 inf + 79279 120.220 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 120.220 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 120.220 * * * * [progress]: [ 184 / 315 ] simplifiying candidate # 120.221 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 120.221 * * [simplify]: iters left: 6 (16 enodes) 120.226 * * [simplify]: iters left: 5 (69 enodes) 120.246 * * [simplify]: iters left: 4 (102 enodes) 120.262 * * [simplify]: iters left: 3 (147 enodes) 120.302 * * [simplify]: iters left: 2 (246 enodes) 120.350 * * [simplify]: iters left: 1 (419 enodes) 120.518 * * [simplify]: Extracting #0: cost 1 inf + 0 120.518 * * [simplify]: Extracting #1: cost 6 inf + 0 120.518 * * [simplify]: Extracting #2: cost 9 inf + 1 120.519 * * [simplify]: Extracting #3: cost 37 inf + 1 120.519 * * [simplify]: Extracting #4: cost 114 inf + 2 120.519 * * [simplify]: Extracting #5: cost 167 inf + 176 120.521 * * [simplify]: Extracting #6: cost 123 inf + 6112 120.526 * * [simplify]: Extracting #7: cost 54 inf + 28154 120.547 * * [simplify]: Extracting #8: cost 1 inf + 67121 120.571 * * [simplify]: Extracting #9: cost 0 inf + 67086 120.593 * [simplify]: Simplified to (* (cbrt (pow (* n (* 2 PI)) (* 1/2 (- 1 k)))) (cbrt (pow (* n (* 2 PI)) (* 1/2 (- 1 k))))) 120.593 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* n (* 2 PI)) (* 1/2 (- 1 k)))) (cbrt (pow (* n (* 2 PI)) (* 1/2 (- 1 k))))) (/ (cbrt 1) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 120.593 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 120.593 * * [simplify]: iters left: 6 (15 enodes) 120.600 * * [simplify]: iters left: 5 (62 enodes) 120.611 * * [simplify]: iters left: 4 (98 enodes) 120.639 * * [simplify]: iters left: 3 (144 enodes) 120.690 * * [simplify]: iters left: 2 (255 enodes) 120.769 * * [simplify]: iters left: 1 (425 enodes) 120.930 * * [simplify]: Extracting #0: cost 1 inf + 0 120.930 * * [simplify]: Extracting #1: cost 7 inf + 0 120.930 * * [simplify]: Extracting #2: cost 12 inf + 1 120.930 * * [simplify]: Extracting #3: cost 35 inf + 166 120.931 * * [simplify]: Extracting #4: cost 111 inf + 249 120.932 * * [simplify]: Extracting #5: cost 159 inf + 673 120.936 * * [simplify]: Extracting #6: cost 115 inf + 6009 120.945 * * [simplify]: Extracting #7: cost 39 inf + 33515 120.970 * * [simplify]: Extracting #8: cost 0 inf + 68367 120.990 * * [simplify]: Extracting #9: cost 0 inf + 67928 121.009 * [simplify]: Simplified to (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt k)) 121.009 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt k)))) 121.010 * * * * [progress]: [ 185 / 315 ] simplifiying candidate # 121.010 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 121.010 * * [simplify]: iters left: 6 (15 enodes) 121.019 * * [simplify]: iters left: 5 (64 enodes) 121.041 * * [simplify]: iters left: 4 (96 enodes) 121.071 * * [simplify]: iters left: 3 (140 enodes) 121.107 * * [simplify]: iters left: 2 (243 enodes) 121.176 * * [simplify]: iters left: 1 (422 enodes) 121.350 * * [simplify]: Extracting #0: cost 1 inf + 0 121.351 * * [simplify]: Extracting #1: cost 6 inf + 0 121.351 * * [simplify]: Extracting #2: cost 33 inf + 1 121.351 * * [simplify]: Extracting #3: cost 117 inf + 2 121.352 * * [simplify]: Extracting #4: cost 168 inf + 178 121.352 * * [simplify]: Extracting #5: cost 170 inf + 435 121.354 * * [simplify]: Extracting #6: cost 139 inf + 2868 121.358 * * [simplify]: Extracting #7: cost 61 inf + 20028 121.369 * * [simplify]: Extracting #8: cost 9 inf + 51837 121.383 * * [simplify]: Extracting #9: cost 0 inf + 55442 121.407 * * [simplify]: Extracting #10: cost 0 inf + 54014 121.426 * [simplify]: Simplified to (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) 121.426 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (/ (cbrt 1) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 121.426 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 121.426 * * [simplify]: iters left: 6 (15 enodes) 121.434 * * [simplify]: iters left: 5 (62 enodes) 121.445 * * [simplify]: iters left: 4 (99 enodes) 121.473 * * [simplify]: iters left: 3 (148 enodes) 121.526 * * [simplify]: iters left: 2 (265 enodes) 121.612 * * [simplify]: iters left: 1 (442 enodes) 121.789 * * [simplify]: Extracting #0: cost 1 inf + 0 121.789 * * [simplify]: Extracting #1: cost 7 inf + 0 121.789 * * [simplify]: Extracting #2: cost 13 inf + 1 121.789 * * [simplify]: Extracting #3: cost 39 inf + 84 121.790 * * [simplify]: Extracting #4: cost 125 inf + 167 121.792 * * [simplify]: Extracting #5: cost 164 inf + 1046 121.797 * * [simplify]: Extracting #6: cost 100 inf + 11579 121.808 * * [simplify]: Extracting #7: cost 28 inf + 41407 121.827 * * [simplify]: Extracting #8: cost 2 inf + 63914 121.849 * * [simplify]: Extracting #9: cost 0 inf + 65528 121.870 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt k)) 121.871 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt k)))) 121.871 * * * * [progress]: [ 186 / 315 ] simplifiying candidate # 121.871 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) 121.871 * * [simplify]: iters left: 5 (5 enodes) 121.879 * * [simplify]: iters left: 4 (17 enodes) 121.884 * * [simplify]: iters left: 3 (19 enodes) 121.888 * * [simplify]: Extracting #0: cost 1 inf + 0 121.888 * * [simplify]: Extracting #1: cost 0 inf + 1 121.888 * [simplify]: Simplified to 1 121.888 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 121.888 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 121.889 * * [simplify]: iters left: 6 (14 enodes) 121.902 * * [simplify]: iters left: 5 (59 enodes) 121.922 * * [simplify]: iters left: 4 (103 enodes) 121.957 * * [simplify]: iters left: 3 (167 enodes) 122.025 * * [simplify]: iters left: 2 (328 enodes) 122.153 * * [simplify]: Extracting #0: cost 1 inf + 0 122.154 * * [simplify]: Extracting #1: cost 55 inf + 0 122.154 * * [simplify]: Extracting #2: cost 149 inf + 1 122.156 * * [simplify]: Extracting #3: cost 198 inf + 86 122.157 * * [simplify]: Extracting #4: cost 186 inf + 3407 122.159 * * [simplify]: Extracting #5: cost 145 inf + 9578 122.166 * * [simplify]: Extracting #6: cost 59 inf + 56043 122.179 * * [simplify]: Extracting #7: cost 0 inf + 100430 122.199 * * [simplify]: Extracting #8: cost 0 inf + 99146 122.230 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)) 122.230 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)))) 122.230 * * * * [progress]: [ 187 / 315 ] simplifiying candidate # 122.230 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 122.231 * * [simplify]: iters left: 6 (15 enodes) 122.240 * * [simplify]: iters left: 5 (67 enodes) 122.263 * * [simplify]: iters left: 4 (104 enodes) 122.290 * * [simplify]: iters left: 3 (163 enodes) 122.321 * * [simplify]: iters left: 2 (306 enodes) 122.412 * * [simplify]: Extracting #0: cost 1 inf + 0 122.412 * * [simplify]: Extracting #1: cost 26 inf + 0 122.413 * * [simplify]: Extracting #2: cost 102 inf + 2 122.413 * * [simplify]: Extracting #3: cost 152 inf + 176 122.415 * * [simplify]: Extracting #4: cost 148 inf + 475 122.418 * * [simplify]: Extracting #5: cost 92 inf + 7681 122.429 * * [simplify]: Extracting #6: cost 46 inf + 24527 122.443 * * [simplify]: Extracting #7: cost 6 inf + 54153 122.454 * * [simplify]: Extracting #8: cost 0 inf + 57963 122.462 * * [simplify]: Extracting #9: cost 0 inf + 56782 122.471 * * [simplify]: Extracting #10: cost 0 inf + 56388 122.480 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ (- 1 k) 4)) 122.480 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* n 2) PI) (/ (- 1 k) 4)) (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 122.480 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 122.481 * * [simplify]: iters left: 6 (15 enodes) 122.490 * * [simplify]: iters left: 5 (65 enodes) 122.512 * * [simplify]: iters left: 4 (109 enodes) 122.547 * * [simplify]: iters left: 3 (183 enodes) 122.590 * * [simplify]: iters left: 2 (374 enodes) 122.762 * * [simplify]: Extracting #0: cost 1 inf + 0 122.762 * * [simplify]: Extracting #1: cost 42 inf + 0 122.763 * * [simplify]: Extracting #2: cost 133 inf + 1 122.764 * * [simplify]: Extracting #3: cost 186 inf + 45 122.766 * * [simplify]: Extracting #4: cost 175 inf + 3082 122.771 * * [simplify]: Extracting #5: cost 123 inf + 11441 122.782 * * [simplify]: Extracting #6: cost 38 inf + 60748 122.795 * * [simplify]: Extracting #7: cost 0 inf + 90611 122.809 * * [simplify]: Extracting #8: cost 0 inf + 90161 122.824 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt k)) 122.824 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt k)))) 122.824 * * * * [progress]: [ 188 / 315 ] simplifiying candidate # 122.824 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) 1) 122.824 * * [simplify]: iters left: 5 (4 enodes) 122.829 * * [simplify]: iters left: 4 (14 enodes) 122.831 * * [simplify]: iters left: 3 (16 enodes) 122.833 * * [simplify]: Extracting #0: cost 1 inf + 0 122.833 * * [simplify]: Extracting #1: cost 0 inf + 1 122.833 * [simplify]: Simplified to 1 122.833 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 122.833 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 122.833 * * [simplify]: iters left: 6 (14 enodes) 122.841 * * [simplify]: iters left: 5 (59 enodes) 122.852 * * [simplify]: iters left: 4 (103 enodes) 122.885 * * [simplify]: iters left: 3 (167 enodes) 122.954 * * [simplify]: iters left: 2 (328 enodes) 123.124 * * [simplify]: Extracting #0: cost 1 inf + 0 123.124 * * [simplify]: Extracting #1: cost 55 inf + 0 123.125 * * [simplify]: Extracting #2: cost 149 inf + 1 123.126 * * [simplify]: Extracting #3: cost 198 inf + 86 123.128 * * [simplify]: Extracting #4: cost 186 inf + 3407 123.132 * * [simplify]: Extracting #5: cost 145 inf + 9578 123.143 * * [simplify]: Extracting #6: cost 59 inf + 56043 123.166 * * [simplify]: Extracting #7: cost 0 inf + 100430 123.188 * * [simplify]: Extracting #8: cost 0 inf + 99146 123.208 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)) 123.208 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)))) 123.208 * * * * [progress]: [ 189 / 315 ] simplifiying candidate # 123.208 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt k)) 123.208 * * [simplify]: iters left: 5 (6 enodes) 123.211 * * [simplify]: iters left: 4 (22 enodes) 123.215 * * [simplify]: iters left: 3 (24 enodes) 123.219 * * [simplify]: iters left: 2 (25 enodes) 123.226 * * [simplify]: iters left: 1 (26 enodes) 123.234 * * [simplify]: Extracting #0: cost 1 inf + 0 123.234 * * [simplify]: Extracting #1: cost 4 inf + 0 123.234 * * [simplify]: Extracting #2: cost 5 inf + 1 123.234 * * [simplify]: Extracting #3: cost 2 inf + 125 123.234 * * [simplify]: Extracting #4: cost 0 inf + 248 123.234 * [simplify]: Simplified to (/ 1 (sqrt k)) 123.234 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (cbrt 1) (/ 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 123.235 * [simplify]: Simplifying (/ (cbrt 1) (/ 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 123.235 * * [simplify]: iters left: 6 (13 enodes) 123.243 * * [simplify]: iters left: 5 (56 enodes) 123.262 * * [simplify]: iters left: 4 (91 enodes) 123.290 * * [simplify]: iters left: 3 (141 enodes) 123.317 * * [simplify]: iters left: 2 (247 enodes) 123.396 * * [simplify]: Extracting #0: cost 1 inf + 0 123.397 * * [simplify]: Extracting #1: cost 26 inf + 0 123.397 * * [simplify]: Extracting #2: cost 95 inf + 2 123.398 * * [simplify]: Extracting #3: cost 134 inf + 174 123.399 * * [simplify]: Extracting #4: cost 126 inf + 763 123.403 * * [simplify]: Extracting #5: cost 77 inf + 8136 123.408 * * [simplify]: Extracting #6: cost 51 inf + 16205 123.419 * * [simplify]: Extracting #7: cost 4 inf + 47643 123.438 * * [simplify]: Extracting #8: cost 0 inf + 49683 123.452 * [simplify]: Simplified to (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 123.452 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 123.452 * * * * [progress]: [ 190 / 315 ] simplifiying candidate # 123.453 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ 1 2)))) 123.453 * * [simplify]: iters left: 6 (14 enodes) 123.462 * * [simplify]: iters left: 5 (57 enodes) 123.481 * * [simplify]: iters left: 4 (96 enodes) 123.501 * * [simplify]: iters left: 3 (168 enodes) 123.546 * * [simplify]: iters left: 2 (305 enodes) 123.664 * * [simplify]: Extracting #0: cost 1 inf + 0 123.664 * * [simplify]: Extracting #1: cost 40 inf + 0 123.665 * * [simplify]: Extracting #2: cost 111 inf + 1 123.666 * * [simplify]: Extracting #3: cost 116 inf + 132 123.667 * * [simplify]: Extracting #4: cost 110 inf + 385 123.669 * * [simplify]: Extracting #5: cost 65 inf + 17986 123.675 * * [simplify]: Extracting #6: cost 8 inf + 54824 123.682 * * [simplify]: Extracting #7: cost 0 inf + 59893 123.689 * [simplify]: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt k)) 123.690 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* PI 2) n)) (sqrt k)) (/ (cbrt 1) (pow (* n (* 2 PI)) (/ k 2))))) 123.690 * [simplify]: Simplifying (/ (cbrt 1) (pow (* n (* 2 PI)) (/ k 2))) 123.690 * * [simplify]: iters left: 6 (11 enodes) 123.694 * * [simplify]: iters left: 5 (42 enodes) 123.704 * * [simplify]: iters left: 4 (66 enodes) 123.725 * * [simplify]: iters left: 3 (101 enodes) 123.757 * * [simplify]: iters left: 2 (171 enodes) 123.799 * * [simplify]: iters left: 1 (319 enodes) 123.971 * * [simplify]: Extracting #0: cost 1 inf + 0 123.971 * * [simplify]: Extracting #1: cost 6 inf + 0 123.971 * * [simplify]: Extracting #2: cost 42 inf + 1 123.972 * * [simplify]: Extracting #3: cost 131 inf + 2 123.973 * * [simplify]: Extracting #4: cost 158 inf + 554 123.977 * * [simplify]: Extracting #5: cost 94 inf + 13919 123.993 * * [simplify]: Extracting #6: cost 16 inf + 58388 124.014 * * [simplify]: Extracting #7: cost 0 inf + 71124 124.028 * * [simplify]: Extracting #8: cost 0 inf + 69491 124.038 * * [simplify]: Extracting #9: cost 0 inf + 69450 124.048 * [simplify]: Simplified to (/ 1 (pow (* n (* 2 PI)) (/ k 2))) 124.048 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* PI 2) n)) (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (/ k 2))))) 124.048 * * * * [progress]: [ 191 / 315 ] simplifiying candidate # 124.049 * [simplify]: Simplifying (/ (sqrt 1) (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 124.049 * * [simplify]: iters left: 6 (16 enodes) 124.054 * * [simplify]: iters left: 5 (65 enodes) 124.074 * * [simplify]: iters left: 4 (101 enodes) 124.093 * * [simplify]: iters left: 3 (147 enodes) 124.133 * * [simplify]: iters left: 2 (249 enodes) 124.196 * * [simplify]: iters left: 1 (433 enodes) 124.422 * * [simplify]: Extracting #0: cost 1 inf + 0 124.422 * * [simplify]: Extracting #1: cost 7 inf + 0 124.423 * * [simplify]: Extracting #2: cost 11 inf + 1 124.423 * * [simplify]: Extracting #3: cost 16 inf + 1 124.423 * * [simplify]: Extracting #4: cost 53 inf + 1 124.424 * * [simplify]: Extracting #5: cost 144 inf + 85 124.426 * * [simplify]: Extracting #6: cost 191 inf + 1585 124.439 * * [simplify]: Extracting #7: cost 95 inf + 32333 124.465 * * [simplify]: Extracting #8: cost 5 inf + 81878 124.491 * * [simplify]: Extracting #9: cost 0 inf + 81371 124.504 * * [simplify]: Extracting #10: cost 0 inf + 80928 124.518 * [simplify]: Simplified to (/ 1 (* (cbrt (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 124.518 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) (/ (sqrt 1) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 124.518 * [simplify]: Simplifying (/ (sqrt 1) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 124.518 * * [simplify]: iters left: 6 (15 enodes) 124.523 * * [simplify]: iters left: 5 (60 enodes) 124.543 * * [simplify]: iters left: 4 (91 enodes) 124.575 * * [simplify]: iters left: 3 (135 enodes) 124.611 * * [simplify]: iters left: 2 (237 enodes) 124.668 * * [simplify]: iters left: 1 (422 enodes) 125.233 * * [simplify]: Extracting #0: cost 1 inf + 0 125.233 * * [simplify]: Extracting #1: cost 4 inf + 0 125.233 * * [simplify]: Extracting #2: cost 5 inf + 1 125.233 * * [simplify]: Extracting #3: cost 10 inf + 1 125.234 * * [simplify]: Extracting #4: cost 42 inf + 1 125.234 * * [simplify]: Extracting #5: cost 128 inf + 85 125.236 * * [simplify]: Extracting #6: cost 182 inf + 801 125.242 * * [simplify]: Extracting #7: cost 105 inf + 18045 125.265 * * [simplify]: Extracting #8: cost 11 inf + 67020 125.287 * * [simplify]: Extracting #9: cost 0 inf + 72197 125.299 * * [simplify]: Extracting #10: cost 0 inf + 71661 125.312 * * [simplify]: Extracting #11: cost 0 inf + 71620 125.335 * [simplify]: Simplified to (/ 1 (cbrt (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 125.335 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ 1 (cbrt (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))) 125.335 * * * * [progress]: [ 192 / 315 ] simplifiying candidate # 125.335 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 125.336 * * [simplify]: iters left: 6 (15 enodes) 125.344 * * [simplify]: iters left: 5 (60 enodes) 125.364 * * [simplify]: iters left: 4 (91 enodes) 125.396 * * [simplify]: iters left: 3 (135 enodes) 125.445 * * [simplify]: iters left: 2 (237 enodes) 125.529 * * [simplify]: iters left: 1 (422 enodes) 125.695 * * [simplify]: Extracting #0: cost 1 inf + 0 125.695 * * [simplify]: Extracting #1: cost 4 inf + 0 125.695 * * [simplify]: Extracting #2: cost 5 inf + 1 125.695 * * [simplify]: Extracting #3: cost 10 inf + 1 125.696 * * [simplify]: Extracting #4: cost 42 inf + 1 125.696 * * [simplify]: Extracting #5: cost 128 inf + 85 125.698 * * [simplify]: Extracting #6: cost 182 inf + 801 125.704 * * [simplify]: Extracting #7: cost 105 inf + 17925 125.724 * * [simplify]: Extracting #8: cost 11 inf + 66860 125.752 * * [simplify]: Extracting #9: cost 0 inf + 72037 125.777 * * [simplify]: Extracting #10: cost 0 inf + 71501 125.802 * * [simplify]: Extracting #11: cost 0 inf + 71460 125.826 * [simplify]: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 125.826 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) (/ (sqrt 1) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 125.827 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 125.827 * * [simplify]: iters left: 6 (15 enodes) 125.836 * * [simplify]: iters left: 5 (60 enodes) 125.856 * * [simplify]: iters left: 4 (91 enodes) 125.886 * * [simplify]: iters left: 3 (135 enodes) 125.921 * * [simplify]: iters left: 2 (237 enodes) 125.968 * * [simplify]: iters left: 1 (422 enodes) 126.139 * * [simplify]: Extracting #0: cost 1 inf + 0 126.139 * * [simplify]: Extracting #1: cost 4 inf + 0 126.139 * * [simplify]: Extracting #2: cost 5 inf + 1 126.139 * * [simplify]: Extracting #3: cost 10 inf + 1 126.140 * * [simplify]: Extracting #4: cost 42 inf + 1 126.140 * * [simplify]: Extracting #5: cost 128 inf + 85 126.142 * * [simplify]: Extracting #6: cost 182 inf + 801 126.148 * * [simplify]: Extracting #7: cost 105 inf + 17925 126.168 * * [simplify]: Extracting #8: cost 11 inf + 66860 126.196 * * [simplify]: Extracting #9: cost 0 inf + 72037 126.211 * * [simplify]: Extracting #10: cost 0 inf + 71501 126.223 * * [simplify]: Extracting #11: cost 0 inf + 71460 126.242 * [simplify]: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 126.242 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ 1 (sqrt (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))) 126.242 * * * * [progress]: [ 193 / 315 ] simplifiying candidate # 126.242 * [simplify]: Simplifying (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2)))) 126.242 * * [simplify]: iters left: 6 (13 enodes) 126.251 * * [simplify]: iters left: 5 (54 enodes) 126.270 * * [simplify]: iters left: 4 (101 enodes) 126.305 * * [simplify]: iters left: 3 (201 enodes) 126.364 * * [simplify]: iters left: 2 (498 enodes) 126.662 * * [simplify]: Extracting #0: cost 1 inf + 0 126.662 * * [simplify]: Extracting #1: cost 99 inf + 0 126.664 * * [simplify]: Extracting #2: cost 291 inf + 1 126.667 * * [simplify]: Extracting #3: cost 354 inf + 4 126.671 * * [simplify]: Extracting #4: cost 335 inf + 5272 126.685 * * [simplify]: Extracting #5: cost 273 inf + 26691 126.715 * * [simplify]: Extracting #6: cost 83 inf + 153317 126.748 * * [simplify]: Extracting #7: cost 1 inf + 201821 126.785 * * [simplify]: Extracting #8: cost 0 inf + 198414 126.816 * * [simplify]: Extracting #9: cost 0 inf + 198021 126.851 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 126.851 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 126.851 * [simplify]: Simplifying (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 126.851 * * [simplify]: iters left: 6 (13 enodes) 126.860 * * [simplify]: iters left: 5 (53 enodes) 126.877 * * [simplify]: iters left: 4 (89 enodes) 126.898 * * [simplify]: iters left: 3 (148 enodes) 126.946 * * [simplify]: iters left: 2 (312 enodes) 127.067 * * [simplify]: Extracting #0: cost 1 inf + 0 127.067 * * [simplify]: Extracting #1: cost 52 inf + 0 127.068 * * [simplify]: Extracting #2: cost 132 inf + 1 127.068 * * [simplify]: Extracting #3: cost 181 inf + 3 127.069 * * [simplify]: Extracting #4: cost 170 inf + 1410 127.072 * * [simplify]: Extracting #5: cost 115 inf + 19554 127.085 * * [simplify]: Extracting #6: cost 30 inf + 70130 127.111 * * [simplify]: Extracting #7: cost 0 inf + 90044 127.137 * * [simplify]: Extracting #8: cost 0 inf + 88887 127.162 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k))) 127.162 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k))))) 127.163 * * * * [progress]: [ 194 / 315 ] simplifiying candidate # 127.163 * [simplify]: Simplifying (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 127.163 * * [simplify]: iters left: 6 (18 enodes) 127.174 * * [simplify]: iters left: 5 (77 enodes) 127.199 * * [simplify]: iters left: 4 (138 enodes) 127.248 * * [simplify]: iters left: 3 (228 enodes) 127.305 * * [simplify]: iters left: 2 (412 enodes) 127.440 * * [simplify]: Extracting #0: cost 1 inf + 0 127.441 * * [simplify]: Extracting #1: cost 23 inf + 0 127.441 * * [simplify]: Extracting #2: cost 39 inf + 1 127.441 * * [simplify]: Extracting #3: cost 54 inf + 1 127.441 * * [simplify]: Extracting #4: cost 88 inf + 1619 127.442 * * [simplify]: Extracting #5: cost 110 inf + 3295 127.446 * * [simplify]: Extracting #6: cost 54 inf + 18500 127.452 * * [simplify]: Extracting #7: cost 8 inf + 37362 127.459 * * [simplify]: Extracting #8: cost 0 inf + 41918 127.467 * * [simplify]: Extracting #9: cost 0 inf + 41154 127.476 * * [simplify]: Extracting #10: cost 0 inf + 40893 127.483 * [simplify]: Simplified to (* (/ (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (sqrt k)))) 127.483 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (sqrt k)))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 127.484 * [simplify]: Simplifying (/ (sqrt 1) (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 127.484 * * [simplify]: iters left: 6 (16 enodes) 127.491 * * [simplify]: iters left: 5 (65 enodes) 127.503 * * [simplify]: iters left: 4 (101 enodes) 127.520 * * [simplify]: iters left: 3 (147 enodes) 127.560 * * [simplify]: iters left: 2 (258 enodes) 127.630 * * [simplify]: iters left: 1 (428 enodes) 127.782 * * [simplify]: Extracting #0: cost 1 inf + 0 127.782 * * [simplify]: Extracting #1: cost 7 inf + 0 127.782 * * [simplify]: Extracting #2: cost 12 inf + 1 127.782 * * [simplify]: Extracting #3: cost 43 inf + 1 127.783 * * [simplify]: Extracting #4: cost 116 inf + 327 127.785 * * [simplify]: Extracting #5: cost 171 inf + 1655 127.790 * * [simplify]: Extracting #6: cost 99 inf + 15218 127.807 * * [simplify]: Extracting #7: cost 19 inf + 52595 127.820 * * [simplify]: Extracting #8: cost 0 inf + 69981 127.833 * * [simplify]: Extracting #9: cost 0 inf + 69660 127.855 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k))) 127.856 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k))))) 127.856 * * * * [progress]: [ 195 / 315 ] simplifiying candidate # 127.856 * [simplify]: Simplifying (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 127.856 * * [simplify]: iters left: 6 (17 enodes) 127.862 * * [simplify]: iters left: 5 (70 enodes) 127.876 * * [simplify]: iters left: 4 (115 enodes) 127.902 * * [simplify]: iters left: 3 (183 enodes) 127.971 * * [simplify]: iters left: 2 (326 enodes) 128.071 * * [simplify]: Extracting #0: cost 1 inf + 0 128.071 * * [simplify]: Extracting #1: cost 17 inf + 0 128.071 * * [simplify]: Extracting #2: cost 28 inf + 1 128.071 * * [simplify]: Extracting #3: cost 46 inf + 1 128.071 * * [simplify]: Extracting #4: cost 93 inf + 1135 128.072 * * [simplify]: Extracting #5: cost 96 inf + 3631 128.074 * * [simplify]: Extracting #6: cost 49 inf + 14352 128.079 * * [simplify]: Extracting #7: cost 11 inf + 27468 128.088 * * [simplify]: Extracting #8: cost 0 inf + 35889 128.094 * * [simplify]: Extracting #9: cost 0 inf + 35073 128.100 * [simplify]: Simplified to (/ (sqrt (pow (* PI (* 2 n)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 128.100 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* PI (* 2 n)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 128.101 * [simplify]: Simplifying (/ (sqrt 1) (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 128.101 * * [simplify]: iters left: 6 (16 enodes) 128.106 * * [simplify]: iters left: 5 (65 enodes) 128.127 * * [simplify]: iters left: 4 (102 enodes) 128.146 * * [simplify]: iters left: 3 (148 enodes) 128.187 * * [simplify]: iters left: 2 (260 enodes) 128.247 * * [simplify]: iters left: 1 (424 enodes) 128.409 * * [simplify]: Extracting #0: cost 1 inf + 0 128.409 * * [simplify]: Extracting #1: cost 7 inf + 0 128.409 * * [simplify]: Extracting #2: cost 13 inf + 1 128.409 * * [simplify]: Extracting #3: cost 46 inf + 1 128.409 * * [simplify]: Extracting #4: cost 126 inf + 327 128.410 * * [simplify]: Extracting #5: cost 150 inf + 1736 128.413 * * [simplify]: Extracting #6: cost 84 inf + 14024 128.419 * * [simplify]: Extracting #7: cost 33 inf + 36097 128.429 * * [simplify]: Extracting #8: cost 0 inf + 65579 128.439 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k))) 128.439 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k))))) 128.440 * * * * [progress]: [ 196 / 315 ] simplifiying candidate # 128.440 * [simplify]: Simplifying (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 128.440 * * [simplify]: iters left: 6 (8 enodes) 128.442 * * [simplify]: iters left: 5 (28 enodes) 128.448 * * [simplify]: iters left: 4 (52 enodes) 128.457 * * [simplify]: iters left: 3 (77 enodes) 128.473 * * [simplify]: iters left: 2 (87 enodes) 128.487 * * [simplify]: Extracting #0: cost 1 inf + 0 128.487 * * [simplify]: Extracting #1: cost 6 inf + 0 128.487 * * [simplify]: Extracting #2: cost 9 inf + 1 128.487 * * [simplify]: Extracting #3: cost 11 inf + 1 128.487 * * [simplify]: Extracting #4: cost 1 inf + 1214 128.488 * * [simplify]: Extracting #5: cost 0 inf + 1376 128.488 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 128.488 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 128.489 * [simplify]: Simplifying (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 128.489 * * [simplify]: iters left: 6 (15 enodes) 128.498 * * [simplify]: iters left: 5 (62 enodes) 128.518 * * [simplify]: iters left: 4 (102 enodes) 128.539 * * [simplify]: iters left: 3 (168 enodes) 128.596 * * [simplify]: iters left: 2 (350 enodes) 128.715 * * [simplify]: Extracting #0: cost 1 inf + 0 128.715 * * [simplify]: Extracting #1: cost 54 inf + 0 128.716 * * [simplify]: Extracting #2: cost 146 inf + 1 128.716 * * [simplify]: Extracting #3: cost 197 inf + 3 128.718 * * [simplify]: Extracting #4: cost 181 inf + 3477 128.720 * * [simplify]: Extracting #5: cost 140 inf + 11842 128.726 * * [simplify]: Extracting #6: cost 69 inf + 48456 128.754 * * [simplify]: Extracting #7: cost 4 inf + 99642 128.781 * * [simplify]: Extracting #8: cost 0 inf + 103498 128.810 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt k))) 128.810 * [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))))) 128.810 * * * * [progress]: [ 197 / 315 ] simplifiying candidate # 128.811 * [simplify]: Simplifying (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 128.811 * * [simplify]: iters left: 6 (17 enodes) 128.820 * * [simplify]: iters left: 5 (73 enodes) 128.839 * * [simplify]: iters left: 4 (128 enodes) 128.864 * * [simplify]: iters left: 3 (244 enodes) 128.962 * * [simplify]: Extracting #0: cost 1 inf + 0 128.962 * * [simplify]: Extracting #1: cost 42 inf + 0 128.962 * * [simplify]: Extracting #2: cost 115 inf + 1 128.963 * * [simplify]: Extracting #3: cost 155 inf + 2 128.964 * * [simplify]: Extracting #4: cost 150 inf + 1149 128.967 * * [simplify]: Extracting #5: cost 75 inf + 23642 128.978 * * [simplify]: Extracting #6: cost 5 inf + 63704 128.988 * * [simplify]: Extracting #7: cost 0 inf + 66168 129.003 * * [simplify]: Extracting #8: cost 0 inf + 66009 129.023 * [simplify]: Simplified to (/ (pow (* PI (* 2 n)) (/ (- 1 k) 4)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 129.023 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* PI (* 2 n)) (/ (- 1 k) 4)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 129.023 * [simplify]: Simplifying (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 129.024 * * [simplify]: iters left: 6 (16 enodes) 129.030 * * [simplify]: iters left: 5 (68 enodes) 129.042 * * [simplify]: iters left: 4 (115 enodes) 129.068 * * [simplify]: iters left: 3 (196 enodes) 129.130 * * [simplify]: iters left: 2 (406 enodes) 129.286 * * [simplify]: Extracting #0: cost 1 inf + 0 129.286 * * [simplify]: Extracting #1: cost 40 inf + 0 129.287 * * [simplify]: Extracting #2: cost 120 inf + 1 129.288 * * [simplify]: Extracting #3: cost 181 inf + 3 129.290 * * [simplify]: Extracting #4: cost 182 inf + 883 129.295 * * [simplify]: Extracting #5: cost 124 inf + 17271 129.306 * * [simplify]: Extracting #6: cost 24 inf + 70235 129.319 * * [simplify]: Extracting #7: cost 0 inf + 89262 129.333 * * [simplify]: Extracting #8: cost 0 inf + 88810 129.346 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (cbrt (sqrt k))) 129.346 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (cbrt (sqrt k))))) 129.346 * * * * [progress]: [ 198 / 315 ] simplifiying candidate # 129.346 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (pow n (/ (- 1 k) 2)))) 129.346 * * [simplify]: iters left: 6 (13 enodes) 129.352 * * [simplify]: iters left: 5 (53 enodes) 129.368 * * [simplify]: iters left: 4 (89 enodes) 129.384 * * [simplify]: iters left: 3 (148 enodes) 129.416 * * [simplify]: iters left: 2 (312 enodes) 129.577 * * [simplify]: Extracting #0: cost 1 inf + 0 129.577 * * [simplify]: Extracting #1: cost 52 inf + 0 129.578 * * [simplify]: Extracting #2: cost 134 inf + 1 129.579 * * [simplify]: Extracting #3: cost 182 inf + 4 129.581 * * [simplify]: Extracting #4: cost 163 inf + 3678 129.586 * * [simplify]: Extracting #5: cost 117 inf + 13668 129.598 * * [simplify]: Extracting #6: cost 44 inf + 50975 129.614 * * [simplify]: Extracting #7: cost 0 inf + 84472 129.625 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) 129.625 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 129.626 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 129.626 * * [simplify]: iters left: 6 (13 enodes) 129.630 * * [simplify]: iters left: 5 (53 enodes) 129.640 * * [simplify]: iters left: 4 (89 enodes) 129.659 * * [simplify]: iters left: 3 (148 enodes) 129.691 * * [simplify]: iters left: 2 (312 enodes) 129.839 * * [simplify]: Extracting #0: cost 1 inf + 0 129.840 * * [simplify]: Extracting #1: cost 52 inf + 0 129.840 * * [simplify]: Extracting #2: cost 132 inf + 1 129.841 * * [simplify]: Extracting #3: cost 181 inf + 3 129.841 * * [simplify]: Extracting #4: cost 170 inf + 1490 129.844 * * [simplify]: Extracting #5: cost 115 inf + 19634 129.859 * * [simplify]: Extracting #6: cost 30 inf + 70210 129.879 * * [simplify]: Extracting #7: cost 0 inf + 90124 129.892 * * [simplify]: Extracting #8: cost 0 inf + 88967 129.906 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k))) 129.906 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 129.906 * * * * [progress]: [ 199 / 315 ] simplifiying candidate # 129.906 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 129.907 * * [simplify]: iters left: 6 (18 enodes) 129.914 * * [simplify]: iters left: 5 (74 enodes) 129.926 * * [simplify]: iters left: 4 (116 enodes) 129.950 * * [simplify]: iters left: 3 (177 enodes) 130.014 * * [simplify]: iters left: 2 (297 enodes) 130.097 * * [simplify]: Extracting #0: cost 1 inf + 0 130.097 * * [simplify]: Extracting #1: cost 11 inf + 0 130.097 * * [simplify]: Extracting #2: cost 20 inf + 1 130.097 * * [simplify]: Extracting #3: cost 36 inf + 1 130.097 * * [simplify]: Extracting #4: cost 79 inf + 528 130.098 * * [simplify]: Extracting #5: cost 102 inf + 1926 130.100 * * [simplify]: Extracting #6: cost 54 inf + 13050 130.104 * * [simplify]: Extracting #7: cost 2 inf + 34788 130.110 * * [simplify]: Extracting #8: cost 0 inf + 34921 130.115 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (fabs (cbrt k))) 130.115 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (fabs (cbrt k))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 130.115 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 130.115 * * [simplify]: iters left: 6 (16 enodes) 130.120 * * [simplify]: iters left: 5 (65 enodes) 130.132 * * [simplify]: iters left: 4 (101 enodes) 130.152 * * [simplify]: iters left: 3 (147 enodes) 130.181 * * [simplify]: iters left: 2 (258 enodes) 130.253 * * [simplify]: iters left: 1 (428 enodes) 130.434 * * [simplify]: Extracting #0: cost 1 inf + 0 130.435 * * [simplify]: Extracting #1: cost 7 inf + 0 130.435 * * [simplify]: Extracting #2: cost 12 inf + 1 130.435 * * [simplify]: Extracting #3: cost 43 inf + 1 130.436 * * [simplify]: Extracting #4: cost 116 inf + 407 130.437 * * [simplify]: Extracting #5: cost 171 inf + 1735 130.443 * * [simplify]: Extracting #6: cost 99 inf + 15298 130.464 * * [simplify]: Extracting #7: cost 19 inf + 52675 130.477 * * [simplify]: Extracting #8: cost 0 inf + 70061 130.490 * * [simplify]: Extracting #9: cost 0 inf + 69740 130.507 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt k))) 130.507 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt k))))) 130.507 * * * * [progress]: [ 200 / 315 ] simplifiying candidate # 130.507 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 130.508 * * [simplify]: iters left: 6 (17 enodes) 130.513 * * [simplify]: iters left: 5 (69 enodes) 130.525 * * [simplify]: iters left: 4 (106 enodes) 130.556 * * [simplify]: iters left: 3 (156 enodes) 130.615 * * [simplify]: iters left: 2 (270 enodes) 130.701 * * [simplify]: iters left: 1 (445 enodes) 130.836 * * [simplify]: Extracting #0: cost 1 inf + 0 130.836 * * [simplify]: Extracting #1: cost 7 inf + 0 130.837 * * [simplify]: Extracting #2: cost 14 inf + 1 130.837 * * [simplify]: Extracting #3: cost 48 inf + 1 130.838 * * [simplify]: Extracting #4: cost 126 inf + 811 130.839 * * [simplify]: Extracting #5: cost 171 inf + 1397 130.844 * * [simplify]: Extracting #6: cost 112 inf + 7762 130.853 * * [simplify]: Extracting #7: cost 49 inf + 30331 130.870 * * [simplify]: Extracting #8: cost 3 inf + 67268 130.882 * * [simplify]: Extracting #9: cost 0 inf + 68472 130.899 * * [simplify]: Extracting #10: cost 0 inf + 67630 130.922 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (fabs (cbrt k))) 130.922 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (fabs (cbrt k))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 130.923 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 130.923 * * [simplify]: iters left: 6 (16 enodes) 130.932 * * [simplify]: iters left: 5 (65 enodes) 130.954 * * [simplify]: iters left: 4 (102 enodes) 130.986 * * [simplify]: iters left: 3 (148 enodes) 131.043 * * [simplify]: iters left: 2 (260 enodes) 131.103 * * [simplify]: iters left: 1 (424 enodes) 131.245 * * [simplify]: Extracting #0: cost 1 inf + 0 131.245 * * [simplify]: Extracting #1: cost 7 inf + 0 131.246 * * [simplify]: Extracting #2: cost 13 inf + 1 131.246 * * [simplify]: Extracting #3: cost 46 inf + 1 131.247 * * [simplify]: Extracting #4: cost 126 inf + 407 131.248 * * [simplify]: Extracting #5: cost 150 inf + 1816 131.254 * * [simplify]: Extracting #6: cost 84 inf + 14104 131.266 * * [simplify]: Extracting #7: cost 33 inf + 36177 131.286 * * [simplify]: Extracting #8: cost 0 inf + 65659 131.306 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt k))) 131.306 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt k))))) 131.306 * * * * [progress]: [ 201 / 315 ] simplifiying candidate # 131.307 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) 1)) 131.307 * * [simplify]: iters left: 6 (8 enodes) 131.312 * * [simplify]: iters left: 5 (26 enodes) 131.324 * * [simplify]: iters left: 4 (32 enodes) 131.333 * * [simplify]: Extracting #0: cost 1 inf + 0 131.333 * * [simplify]: Extracting #1: cost 4 inf + 0 131.333 * * [simplify]: Extracting #2: cost 6 inf + 1 131.333 * * [simplify]: Extracting #3: cost 9 inf + 1 131.333 * * [simplify]: Extracting #4: cost 4 inf + 487 131.334 * * [simplify]: Extracting #5: cost 0 inf + 972 131.334 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 131.334 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 131.335 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 131.335 * * [simplify]: iters left: 6 (15 enodes) 131.345 * * [simplify]: iters left: 5 (62 enodes) 131.362 * * [simplify]: iters left: 4 (102 enodes) 131.379 * * [simplify]: iters left: 3 (168 enodes) 131.446 * * [simplify]: iters left: 2 (350 enodes) 131.572 * * [simplify]: Extracting #0: cost 1 inf + 0 131.572 * * [simplify]: Extracting #1: cost 54 inf + 0 131.573 * * [simplify]: Extracting #2: cost 146 inf + 1 131.574 * * [simplify]: Extracting #3: cost 197 inf + 3 131.576 * * [simplify]: Extracting #4: cost 181 inf + 3557 131.581 * * [simplify]: Extracting #5: cost 140 inf + 11922 131.587 * * [simplify]: Extracting #6: cost 69 inf + 48536 131.600 * * [simplify]: Extracting #7: cost 4 inf + 99722 131.620 * * [simplify]: Extracting #8: cost 0 inf + 103578 131.634 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt k))) 131.634 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 131.634 * * * * [progress]: [ 202 / 315 ] simplifiying candidate # 131.634 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 131.634 * * [simplify]: iters left: 6 (17 enodes) 131.640 * * [simplify]: iters left: 5 (72 enodes) 131.660 * * [simplify]: iters left: 4 (116 enodes) 131.680 * * [simplify]: iters left: 3 (191 enodes) 131.736 * * [simplify]: iters left: 2 (384 enodes) 131.887 * * [simplify]: Extracting #0: cost 1 inf + 0 131.887 * * [simplify]: Extracting #1: cost 46 inf + 0 131.888 * * [simplify]: Extracting #2: cost 140 inf + 1 131.889 * * [simplify]: Extracting #3: cost 200 inf + 3 131.895 * * [simplify]: Extracting #4: cost 199 inf + 1367 131.897 * * [simplify]: Extracting #5: cost 140 inf + 11531 131.907 * * [simplify]: Extracting #6: cost 26 inf + 83968 131.921 * * [simplify]: Extracting #7: cost 1 inf + 100610 131.949 * * [simplify]: Extracting #8: cost 0 inf + 100662 131.967 * [simplify]: Simplified to (/ (pow (* 2 (* n PI)) (/ (- 1 k) 4)) (fabs (cbrt k))) 131.967 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* 2 (* n PI)) (/ (- 1 k) 4)) (fabs (cbrt k))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 131.967 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 131.968 * * [simplify]: iters left: 6 (16 enodes) 131.973 * * [simplify]: iters left: 5 (68 enodes) 131.986 * * [simplify]: iters left: 4 (115 enodes) 132.010 * * [simplify]: iters left: 3 (196 enodes) 132.056 * * [simplify]: iters left: 2 (406 enodes) 132.176 * * [simplify]: Extracting #0: cost 1 inf + 0 132.176 * * [simplify]: Extracting #1: cost 40 inf + 0 132.177 * * [simplify]: Extracting #2: cost 120 inf + 1 132.177 * * [simplify]: Extracting #3: cost 181 inf + 3 132.178 * * [simplify]: Extracting #4: cost 182 inf + 963 132.181 * * [simplify]: Extracting #5: cost 124 inf + 17351 132.190 * * [simplify]: Extracting #6: cost 24 inf + 70315 132.206 * * [simplify]: Extracting #7: cost 0 inf + 89342 132.223 * * [simplify]: Extracting #8: cost 0 inf + 88890 132.236 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (cbrt k))) 132.236 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (cbrt k))))) 132.237 * * * * [progress]: [ 203 / 315 ] simplifiying candidate # 132.237 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) 132.237 * * [simplify]: iters left: 6 (12 enodes) 132.242 * * [simplify]: iters left: 5 (49 enodes) 132.258 * * [simplify]: iters left: 4 (85 enodes) 132.287 * * [simplify]: iters left: 3 (148 enodes) 132.350 * * [simplify]: iters left: 2 (320 enodes) 132.445 * * [simplify]: Extracting #0: cost 1 inf + 0 132.445 * * [simplify]: Extracting #1: cost 53 inf + 0 132.445 * * [simplify]: Extracting #2: cost 143 inf + 1 132.446 * * [simplify]: Extracting #3: cost 189 inf + 4 132.447 * * [simplify]: Extracting #4: cost 177 inf + 2791 132.450 * * [simplify]: Extracting #5: cost 124 inf + 13681 132.460 * * [simplify]: Extracting #6: cost 54 inf + 47057 132.483 * * [simplify]: Extracting #7: cost 0 inf + 87363 132.507 * * [simplify]: Extracting #8: cost 0 inf + 86679 132.518 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 132.518 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 132.518 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 132.518 * * [simplify]: iters left: 6 (13 enodes) 132.523 * * [simplify]: iters left: 5 (53 enodes) 132.533 * * [simplify]: iters left: 4 (89 enodes) 132.562 * * [simplify]: iters left: 3 (148 enodes) 132.603 * * [simplify]: iters left: 2 (312 enodes) 132.723 * * [simplify]: Extracting #0: cost 1 inf + 0 132.724 * * [simplify]: Extracting #1: cost 52 inf + 0 132.724 * * [simplify]: Extracting #2: cost 132 inf + 1 132.725 * * [simplify]: Extracting #3: cost 181 inf + 3 132.726 * * [simplify]: Extracting #4: cost 170 inf + 1290 132.728 * * [simplify]: Extracting #5: cost 115 inf + 19114 132.743 * * [simplify]: Extracting #6: cost 30 inf + 67930 132.769 * * [simplify]: Extracting #7: cost 0 inf + 86804 132.796 * * [simplify]: Extracting #8: cost 0 inf + 85647 132.809 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 132.809 * [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))))) 132.809 * * * * [progress]: [ 204 / 315 ] simplifiying candidate # 132.809 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 132.809 * * [simplify]: iters left: 6 (17 enodes) 132.815 * * [simplify]: iters left: 5 (70 enodes) 132.829 * * [simplify]: iters left: 4 (112 enodes) 132.866 * * [simplify]: iters left: 3 (172 enodes) 132.905 * * [simplify]: iters left: 2 (292 enodes) 132.999 * * [simplify]: iters left: 1 (485 enodes) 133.196 * * [simplify]: Extracting #0: cost 1 inf + 0 133.196 * * [simplify]: Extracting #1: cost 10 inf + 0 133.196 * * [simplify]: Extracting #2: cost 18 inf + 1 133.196 * * [simplify]: Extracting #3: cost 46 inf + 1 133.197 * * [simplify]: Extracting #4: cost 116 inf + 247 133.199 * * [simplify]: Extracting #5: cost 165 inf + 1369 133.202 * * [simplify]: Extracting #6: cost 115 inf + 11204 133.208 * * [simplify]: Extracting #7: cost 46 inf + 31951 133.220 * * [simplify]: Extracting #8: cost 2 inf + 68060 133.231 * * [simplify]: Extracting #9: cost 0 inf + 68394 133.249 * [simplify]: Simplified to (* (cbrt (pow (* (* n 2) PI) (* 1/2 (- 1 k)))) (/ (cbrt (pow (* (* n 2) PI) (* 1/2 (- 1 k)))) (sqrt (sqrt k)))) 133.249 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* (* n 2) PI) (* 1/2 (- 1 k)))) (/ (cbrt (pow (* (* n 2) PI) (* 1/2 (- 1 k)))) (sqrt (sqrt k)))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 133.250 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 133.250 * * [simplify]: iters left: 6 (16 enodes) 133.259 * * [simplify]: iters left: 5 (65 enodes) 133.280 * * [simplify]: iters left: 4 (101 enodes) 133.303 * * [simplify]: iters left: 3 (147 enodes) 133.341 * * [simplify]: iters left: 2 (258 enodes) 133.401 * * [simplify]: iters left: 1 (428 enodes) 133.577 * * [simplify]: Extracting #0: cost 1 inf + 0 133.577 * * [simplify]: Extracting #1: cost 7 inf + 0 133.577 * * [simplify]: Extracting #2: cost 12 inf + 1 133.578 * * [simplify]: Extracting #3: cost 43 inf + 1 133.578 * * [simplify]: Extracting #4: cost 116 inf + 247 133.579 * * [simplify]: Extracting #5: cost 171 inf + 1495 133.582 * * [simplify]: Extracting #6: cost 99 inf + 14938 133.594 * * [simplify]: Extracting #7: cost 19 inf + 52275 133.620 * * [simplify]: Extracting #8: cost 0 inf + 69661 133.635 * * [simplify]: Extracting #9: cost 0 inf + 69340 133.651 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 133.651 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 133.651 * * * * [progress]: [ 205 / 315 ] simplifiying candidate # 133.651 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 133.652 * * [simplify]: iters left: 6 (16 enodes) 133.656 * * [simplify]: iters left: 5 (65 enodes) 133.668 * * [simplify]: iters left: 4 (102 enodes) 133.685 * * [simplify]: iters left: 3 (148 enodes) 133.734 * * [simplify]: iters left: 2 (260 enodes) 133.819 * * [simplify]: iters left: 1 (424 enodes) 133.950 * * [simplify]: Extracting #0: cost 1 inf + 0 133.950 * * [simplify]: Extracting #1: cost 7 inf + 0 133.950 * * [simplify]: Extracting #2: cost 13 inf + 1 133.951 * * [simplify]: Extracting #3: cost 46 inf + 1 133.951 * * [simplify]: Extracting #4: cost 126 inf + 247 133.952 * * [simplify]: Extracting #5: cost 150 inf + 1576 133.954 * * [simplify]: Extracting #6: cost 84 inf + 13744 133.964 * * [simplify]: Extracting #7: cost 33 inf + 35777 133.974 * * [simplify]: Extracting #8: cost 0 inf + 65259 133.984 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 133.984 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 133.985 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 133.985 * * [simplify]: iters left: 6 (16 enodes) 133.989 * * [simplify]: iters left: 5 (65 enodes) 134.008 * * [simplify]: iters left: 4 (102 enodes) 134.029 * * [simplify]: iters left: 3 (148 enodes) 134.072 * * [simplify]: iters left: 2 (260 enodes) 134.132 * * [simplify]: iters left: 1 (424 enodes) 134.288 * * [simplify]: Extracting #0: cost 1 inf + 0 134.288 * * [simplify]: Extracting #1: cost 7 inf + 0 134.288 * * [simplify]: Extracting #2: cost 13 inf + 1 134.288 * * [simplify]: Extracting #3: cost 46 inf + 1 134.289 * * [simplify]: Extracting #4: cost 126 inf + 247 134.291 * * [simplify]: Extracting #5: cost 150 inf + 1576 134.296 * * [simplify]: Extracting #6: cost 84 inf + 13744 134.308 * * [simplify]: Extracting #7: cost 33 inf + 35777 134.328 * * [simplify]: Extracting #8: cost 0 inf + 65259 134.348 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 134.348 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 134.349 * * * * [progress]: [ 206 / 315 ] simplifiying candidate # 134.349 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) 1)) 134.349 * * [simplify]: iters left: 6 (7 enodes) 134.354 * * [simplify]: iters left: 5 (23 enodes) 134.366 * * [simplify]: iters left: 4 (27 enodes) 134.373 * * [simplify]: iters left: 3 (28 enodes) 134.380 * * [simplify]: Extracting #0: cost 1 inf + 0 134.380 * * [simplify]: Extracting #1: cost 4 inf + 0 134.380 * * [simplify]: Extracting #2: cost 5 inf + 1 134.380 * * [simplify]: Extracting #3: cost 7 inf + 1 134.381 * * [simplify]: Extracting #4: cost 2 inf + 287 134.381 * * [simplify]: Extracting #5: cost 0 inf + 490 134.381 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 134.381 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 134.382 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 134.382 * * [simplify]: iters left: 6 (15 enodes) 134.391 * * [simplify]: iters left: 5 (62 enodes) 134.412 * * [simplify]: iters left: 4 (102 enodes) 134.445 * * [simplify]: iters left: 3 (168 enodes) 134.519 * * [simplify]: iters left: 2 (350 enodes) 134.675 * * [simplify]: Extracting #0: cost 1 inf + 0 134.675 * * [simplify]: Extracting #1: cost 54 inf + 0 134.676 * * [simplify]: Extracting #2: cost 146 inf + 1 134.677 * * [simplify]: Extracting #3: cost 197 inf + 3 134.678 * * [simplify]: Extracting #4: cost 181 inf + 3277 134.680 * * [simplify]: Extracting #5: cost 140 inf + 11442 134.687 * * [simplify]: Extracting #6: cost 69 inf + 46576 134.703 * * [simplify]: Extracting #7: cost 4 inf + 96402 134.736 * * [simplify]: Extracting #8: cost 0 inf + 100098 134.760 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 134.760 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 134.760 * * * * [progress]: [ 207 / 315 ] simplifiying candidate # 134.761 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 134.761 * * [simplify]: iters left: 6 (16 enodes) 134.767 * * [simplify]: iters left: 5 (68 enodes) 134.779 * * [simplify]: iters left: 4 (115 enodes) 134.806 * * [simplify]: iters left: 3 (196 enodes) 134.864 * * [simplify]: iters left: 2 (406 enodes) 135.059 * * [simplify]: Extracting #0: cost 1 inf + 0 135.059 * * [simplify]: Extracting #1: cost 40 inf + 0 135.059 * * [simplify]: Extracting #2: cost 120 inf + 1 135.060 * * [simplify]: Extracting #3: cost 181 inf + 3 135.061 * * [simplify]: Extracting #4: cost 182 inf + 843 135.065 * * [simplify]: Extracting #5: cost 124 inf + 16791 135.085 * * [simplify]: Extracting #6: cost 24 inf + 68195 135.112 * * [simplify]: Extracting #7: cost 0 inf + 86342 135.138 * * [simplify]: Extracting #8: cost 0 inf + 85890 135.165 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 135.165 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 135.166 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 135.166 * * [simplify]: iters left: 6 (16 enodes) 135.175 * * [simplify]: iters left: 5 (68 enodes) 135.198 * * [simplify]: iters left: 4 (115 enodes) 135.219 * * [simplify]: iters left: 3 (196 enodes) 135.275 * * [simplify]: iters left: 2 (406 enodes) 135.433 * * [simplify]: Extracting #0: cost 1 inf + 0 135.433 * * [simplify]: Extracting #1: cost 40 inf + 0 135.434 * * [simplify]: Extracting #2: cost 120 inf + 1 135.435 * * [simplify]: Extracting #3: cost 181 inf + 3 135.436 * * [simplify]: Extracting #4: cost 182 inf + 843 135.441 * * [simplify]: Extracting #5: cost 124 inf + 16791 135.460 * * [simplify]: Extracting #6: cost 24 inf + 68195 135.492 * * [simplify]: Extracting #7: cost 0 inf + 86342 135.518 * * [simplify]: Extracting #8: cost 0 inf + 85890 135.537 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 135.537 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))))) 135.537 * * * * [progress]: [ 208 / 315 ] simplifiying candidate # 135.537 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt 1) (pow n (/ (- 1 k) 2)))) 135.537 * * [simplify]: iters left: 6 (10 enodes) 135.541 * * [simplify]: iters left: 5 (43 enodes) 135.549 * * [simplify]: iters left: 4 (66 enodes) 135.563 * * [simplify]: iters left: 3 (113 enodes) 135.608 * * [simplify]: iters left: 2 (235 enodes) 135.681 * * [simplify]: Extracting #0: cost 1 inf + 0 135.681 * * [simplify]: Extracting #1: cost 28 inf + 0 135.682 * * [simplify]: Extracting #2: cost 91 inf + 3 135.683 * * [simplify]: Extracting #3: cost 133 inf + 6 135.684 * * [simplify]: Extracting #4: cost 128 inf + 762 135.687 * * [simplify]: Extracting #5: cost 67 inf + 12209 135.697 * * [simplify]: Extracting #6: cost 9 inf + 40096 135.709 * * [simplify]: Extracting #7: cost 0 inf + 46563 135.724 * * [simplify]: Extracting #8: cost 0 inf + 46522 135.735 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 135.735 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (sqrt 1) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 135.736 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 135.736 * * [simplify]: iters left: 6 (12 enodes) 135.744 * * [simplify]: iters left: 5 (50 enodes) 135.761 * * [simplify]: iters left: 4 (86 enodes) 135.790 * * [simplify]: iters left: 3 (149 enodes) 135.847 * * [simplify]: iters left: 2 (314 enodes) 135.950 * * [simplify]: Extracting #0: cost 1 inf + 0 135.951 * * [simplify]: Extracting #1: cost 47 inf + 0 135.951 * * [simplify]: Extracting #2: cost 129 inf + 1 135.951 * * [simplify]: Extracting #3: cost 174 inf + 127 135.952 * * [simplify]: Extracting #4: cost 168 inf + 1129 135.954 * * [simplify]: Extracting #5: cost 125 inf + 10926 135.960 * * [simplify]: Extracting #6: cost 44 inf + 52003 135.971 * * [simplify]: Extracting #7: cost 0 inf + 83738 135.983 * * [simplify]: Extracting #8: cost 0 inf + 80065 136.009 * * [simplify]: Extracting #9: cost 0 inf + 79279 136.031 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 136.031 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 136.031 * * * * [progress]: [ 209 / 315 ] simplifiying candidate # 136.032 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 136.032 * * [simplify]: iters left: 6 (15 enodes) 136.041 * * [simplify]: iters left: 5 (64 enodes) 136.063 * * [simplify]: iters left: 4 (102 enodes) 136.095 * * [simplify]: iters left: 3 (153 enodes) 136.146 * * [simplify]: iters left: 2 (243 enodes) 136.238 * * [simplify]: iters left: 1 (429 enodes) 136.407 * * [simplify]: Extracting #0: cost 1 inf + 0 136.408 * * [simplify]: Extracting #1: cost 6 inf + 0 136.408 * * [simplify]: Extracting #2: cost 9 inf + 1 136.408 * * [simplify]: Extracting #3: cost 38 inf + 1 136.409 * * [simplify]: Extracting #4: cost 117 inf + 2 136.410 * * [simplify]: Extracting #5: cost 169 inf + 176 136.411 * * [simplify]: Extracting #6: cost 174 inf + 393 136.416 * * [simplify]: Extracting #7: cost 106 inf + 11293 136.428 * * [simplify]: Extracting #8: cost 42 inf + 38517 136.450 * * [simplify]: Extracting #9: cost 0 inf + 73647 136.474 * * [simplify]: Extracting #10: cost 0 inf + 71809 136.498 * * [simplify]: Extracting #11: cost 0 inf + 70694 136.513 * [simplify]: Simplified to (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 136.513 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (sqrt 1) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 136.513 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 136.513 * * [simplify]: iters left: 6 (15 enodes) 136.519 * * [simplify]: iters left: 5 (62 enodes) 136.530 * * [simplify]: iters left: 4 (98 enodes) 136.554 * * [simplify]: iters left: 3 (144 enodes) 136.596 * * [simplify]: iters left: 2 (255 enodes) 136.676 * * [simplify]: iters left: 1 (425 enodes) 136.822 * * [simplify]: Extracting #0: cost 1 inf + 0 136.822 * * [simplify]: Extracting #1: cost 7 inf + 0 136.822 * * [simplify]: Extracting #2: cost 12 inf + 1 136.822 * * [simplify]: Extracting #3: cost 35 inf + 166 136.823 * * [simplify]: Extracting #4: cost 111 inf + 249 136.823 * * [simplify]: Extracting #5: cost 159 inf + 673 136.825 * * [simplify]: Extracting #6: cost 115 inf + 6009 136.830 * * [simplify]: Extracting #7: cost 39 inf + 33515 136.843 * * [simplify]: Extracting #8: cost 0 inf + 68367 136.863 * * [simplify]: Extracting #9: cost 0 inf + 67928 136.876 * [simplify]: Simplified to (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt k)) 136.876 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt k)))) 136.876 * * * * [progress]: [ 210 / 315 ] simplifiying candidate # 136.876 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 136.876 * * [simplify]: iters left: 6 (14 enodes) 136.881 * * [simplify]: iters left: 5 (59 enodes) 136.891 * * [simplify]: iters left: 4 (93 enodes) 136.909 * * [simplify]: iters left: 3 (136 enodes) 136.942 * * [simplify]: iters left: 2 (219 enodes) 136.995 * * [simplify]: iters left: 1 (399 enodes) 137.182 * * [simplify]: Extracting #0: cost 1 inf + 0 137.182 * * [simplify]: Extracting #1: cost 6 inf + 0 137.182 * * [simplify]: Extracting #2: cost 37 inf + 1 137.183 * * [simplify]: Extracting #3: cost 124 inf + 2 137.184 * * [simplify]: Extracting #4: cost 172 inf + 177 137.186 * * [simplify]: Extracting #5: cost 157 inf + 1710 137.194 * * [simplify]: Extracting #6: cost 57 inf + 25769 137.213 * * [simplify]: Extracting #7: cost 10 inf + 54501 137.242 * * [simplify]: Extracting #8: cost 0 inf + 59048 137.271 * * [simplify]: Extracting #9: cost 0 inf + 56783 137.300 * [simplify]: Simplified to (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 137.300 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 137.300 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 137.300 * * [simplify]: iters left: 6 (15 enodes) 137.311 * * [simplify]: iters left: 5 (62 enodes) 137.331 * * [simplify]: iters left: 4 (99 enodes) 137.364 * * [simplify]: iters left: 3 (148 enodes) 137.422 * * [simplify]: iters left: 2 (265 enodes) 137.487 * * [simplify]: iters left: 1 (442 enodes) 137.688 * * [simplify]: Extracting #0: cost 1 inf + 0 137.688 * * [simplify]: Extracting #1: cost 7 inf + 0 137.688 * * [simplify]: Extracting #2: cost 13 inf + 1 137.689 * * [simplify]: Extracting #3: cost 39 inf + 84 137.689 * * [simplify]: Extracting #4: cost 125 inf + 167 137.691 * * [simplify]: Extracting #5: cost 164 inf + 1046 137.696 * * [simplify]: Extracting #6: cost 100 inf + 11579 137.708 * * [simplify]: Extracting #7: cost 28 inf + 41407 137.726 * * [simplify]: Extracting #8: cost 2 inf + 63914 137.740 * * [simplify]: Extracting #9: cost 0 inf + 65528 137.750 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt k)) 137.750 * [simplify]: Simplified (2 2) to (λ (k n) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt k)))) 137.750 * * * * [progress]: [ 211 / 315 ] simplifiying candidate # 137.751 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt 1) 1)) 137.751 * * [simplify]: iters left: 5 (4 enodes) 137.756 * * [simplify]: iters left: 4 (14 enodes) 137.759 * * [simplify]: iters left: 3 (16 enodes) 137.763 * * [simplify]: Extracting #0: cost 1 inf + 0 137.763 * * [simplify]: Extracting #1: cost 0 inf + 1 137.763 * [simplify]: Simplified to 1 137.763 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 137.763 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 137.763 * * [simplify]: iters left: 6 (14 enodes) 137.772 * * [simplify]: iters left: 5 (59 enodes) 137.788 * * [simplify]: iters left: 4 (103 enodes) 137.810 * * [simplify]: iters left: 3 (167 enodes) 137.871 * * [simplify]: iters left: 2 (328 enodes) 138.007 * * [simplify]: Extracting #0: cost 1 inf + 0 138.007 * * [simplify]: Extracting #1: cost 55 inf + 0 138.008 * * [simplify]: Extracting #2: cost 149 inf + 1 138.009 * * [simplify]: Extracting #3: cost 198 inf + 86 138.012 * * [simplify]: Extracting #4: cost 186 inf + 3407 138.016 * * [simplify]: Extracting #5: cost 145 inf + 9578 138.029 * * [simplify]: Extracting #6: cost 59 inf + 56043 138.054 * * [simplify]: Extracting #7: cost 0 inf + 100430 138.084 * * [simplify]: Extracting #8: cost 0 inf + 99146 138.100 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)) 138.100 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)))) 138.100 * * * * [progress]: [ 212 / 315 ] simplifiying candidate # 138.100 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 138.100 * * [simplify]: iters left: 6 (14 enodes) 138.105 * * [simplify]: iters left: 5 (62 enodes) 138.117 * * [simplify]: iters left: 4 (103 enodes) 138.151 * * [simplify]: iters left: 3 (170 enodes) 138.209 * * [simplify]: iters left: 2 (312 enodes) 138.304 * * [simplify]: Extracting #0: cost 1 inf + 0 138.304 * * [simplify]: Extracting #1: cost 25 inf + 0 138.305 * * [simplify]: Extracting #2: cost 99 inf + 2 138.305 * * [simplify]: Extracting #3: cost 148 inf + 176 138.306 * * [simplify]: Extracting #4: cost 147 inf + 558 138.307 * * [simplify]: Extracting #5: cost 97 inf + 6908 138.315 * * [simplify]: Extracting #6: cost 21 inf + 38822 138.323 * * [simplify]: Extracting #7: cost 1 inf + 51033 138.331 * * [simplify]: Extracting #8: cost 0 inf + 51398 138.339 * [simplify]: Simplified to (pow (* n (* 2 PI)) (/ (- 1 k) 4)) 138.339 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 4)) (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 138.339 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 138.339 * * [simplify]: iters left: 6 (15 enodes) 138.346 * * [simplify]: iters left: 5 (65 enodes) 138.367 * * [simplify]: iters left: 4 (109 enodes) 138.409 * * [simplify]: iters left: 3 (183 enodes) 138.476 * * [simplify]: iters left: 2 (374 enodes) 138.592 * * [simplify]: Extracting #0: cost 1 inf + 0 138.592 * * [simplify]: Extracting #1: cost 42 inf + 0 138.593 * * [simplify]: Extracting #2: cost 133 inf + 1 138.593 * * [simplify]: Extracting #3: cost 186 inf + 45 138.594 * * [simplify]: Extracting #4: cost 175 inf + 3082 138.597 * * [simplify]: Extracting #5: cost 123 inf + 11441 138.606 * * [simplify]: Extracting #6: cost 38 inf + 60748 138.619 * * [simplify]: Extracting #7: cost 0 inf + 90611 138.633 * * [simplify]: Extracting #8: cost 0 inf + 90161 138.648 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt k)) 138.648 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt k)))) 138.648 * * * * [progress]: [ 213 / 315 ] simplifiying candidate # 138.648 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) 138.648 * * [simplify]: iters left: 6 (12 enodes) 138.656 * * [simplify]: iters left: 5 (49 enodes) 138.665 * * [simplify]: iters left: 4 (85 enodes) 138.683 * * [simplify]: iters left: 3 (148 enodes) 138.718 * * [simplify]: iters left: 2 (320 enodes) 138.871 * * [simplify]: Extracting #0: cost 1 inf + 0 138.871 * * [simplify]: Extracting #1: cost 53 inf + 0 138.871 * * [simplify]: Extracting #2: cost 143 inf + 1 138.872 * * [simplify]: Extracting #3: cost 189 inf + 4 138.873 * * [simplify]: Extracting #4: cost 177 inf + 2791 138.875 * * [simplify]: Extracting #5: cost 124 inf + 13681 138.881 * * [simplify]: Extracting #6: cost 54 inf + 47057 138.893 * * [simplify]: Extracting #7: cost 0 inf + 87363 138.904 * * [simplify]: Extracting #8: cost 0 inf + 86679 138.916 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 138.916 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 138.916 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 138.917 * * [simplify]: iters left: 6 (13 enodes) 138.923 * * [simplify]: iters left: 5 (53 enodes) 138.933 * * [simplify]: iters left: 4 (89 enodes) 138.958 * * [simplify]: iters left: 3 (148 enodes) 138.995 * * [simplify]: iters left: 2 (312 enodes) 139.135 * * [simplify]: Extracting #0: cost 1 inf + 0 139.135 * * [simplify]: Extracting #1: cost 52 inf + 0 139.135 * * [simplify]: Extracting #2: cost 132 inf + 1 139.136 * * [simplify]: Extracting #3: cost 181 inf + 3 139.137 * * [simplify]: Extracting #4: cost 170 inf + 1290 139.139 * * [simplify]: Extracting #5: cost 115 inf + 19114 139.149 * * [simplify]: Extracting #6: cost 30 inf + 67930 139.162 * * [simplify]: Extracting #7: cost 0 inf + 86804 139.177 * * [simplify]: Extracting #8: cost 0 inf + 85647 139.202 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 139.202 * [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))))) 139.203 * * * * [progress]: [ 214 / 315 ] simplifiying candidate # 139.203 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 139.203 * * [simplify]: iters left: 6 (17 enodes) 139.216 * * [simplify]: iters left: 5 (70 enodes) 139.239 * * [simplify]: iters left: 4 (112 enodes) 139.273 * * [simplify]: iters left: 3 (172 enodes) 139.316 * * [simplify]: iters left: 2 (292 enodes) 139.397 * * [simplify]: iters left: 1 (485 enodes) 139.588 * * [simplify]: Extracting #0: cost 1 inf + 0 139.588 * * [simplify]: Extracting #1: cost 10 inf + 0 139.588 * * [simplify]: Extracting #2: cost 18 inf + 1 139.588 * * [simplify]: Extracting #3: cost 46 inf + 1 139.589 * * [simplify]: Extracting #4: cost 116 inf + 247 139.589 * * [simplify]: Extracting #5: cost 165 inf + 1369 139.592 * * [simplify]: Extracting #6: cost 115 inf + 11204 139.597 * * [simplify]: Extracting #7: cost 46 inf + 31951 139.616 * * [simplify]: Extracting #8: cost 2 inf + 68060 139.637 * * [simplify]: Extracting #9: cost 0 inf + 68394 139.663 * [simplify]: Simplified to (* (cbrt (pow (* (* n 2) PI) (* 1/2 (- 1 k)))) (/ (cbrt (pow (* (* n 2) PI) (* 1/2 (- 1 k)))) (sqrt (sqrt k)))) 139.663 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* (* n 2) PI) (* 1/2 (- 1 k)))) (/ (cbrt (pow (* (* n 2) PI) (* 1/2 (- 1 k)))) (sqrt (sqrt k)))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 139.663 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 139.663 * * [simplify]: iters left: 6 (16 enodes) 139.673 * * [simplify]: iters left: 5 (65 enodes) 139.686 * * [simplify]: iters left: 4 (101 enodes) 139.703 * * [simplify]: iters left: 3 (147 enodes) 139.749 * * [simplify]: iters left: 2 (258 enodes) 139.815 * * [simplify]: iters left: 1 (428 enodes) 140.014 * * [simplify]: Extracting #0: cost 1 inf + 0 140.014 * * [simplify]: Extracting #1: cost 7 inf + 0 140.014 * * [simplify]: Extracting #2: cost 12 inf + 1 140.014 * * [simplify]: Extracting #3: cost 43 inf + 1 140.015 * * [simplify]: Extracting #4: cost 116 inf + 247 140.016 * * [simplify]: Extracting #5: cost 171 inf + 1495 140.022 * * [simplify]: Extracting #6: cost 99 inf + 14938 140.041 * * [simplify]: Extracting #7: cost 19 inf + 52275 140.054 * * [simplify]: Extracting #8: cost 0 inf + 69661 140.067 * * [simplify]: Extracting #9: cost 0 inf + 69340 140.088 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 140.088 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 140.089 * * * * [progress]: [ 215 / 315 ] simplifiying candidate # 140.089 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 140.089 * * [simplify]: iters left: 6 (16 enodes) 140.094 * * [simplify]: iters left: 5 (65 enodes) 140.109 * * [simplify]: iters left: 4 (102 enodes) 140.127 * * [simplify]: iters left: 3 (148 enodes) 140.168 * * [simplify]: iters left: 2 (260 enodes) 140.227 * * [simplify]: iters left: 1 (424 enodes) 140.376 * * [simplify]: Extracting #0: cost 1 inf + 0 140.376 * * [simplify]: Extracting #1: cost 7 inf + 0 140.376 * * [simplify]: Extracting #2: cost 13 inf + 1 140.376 * * [simplify]: Extracting #3: cost 46 inf + 1 140.377 * * [simplify]: Extracting #4: cost 126 inf + 247 140.379 * * [simplify]: Extracting #5: cost 150 inf + 1576 140.384 * * [simplify]: Extracting #6: cost 84 inf + 13744 140.402 * * [simplify]: Extracting #7: cost 33 inf + 35777 140.414 * * [simplify]: Extracting #8: cost 0 inf + 65259 140.426 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 140.426 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 140.427 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 140.427 * * [simplify]: iters left: 6 (16 enodes) 140.431 * * [simplify]: iters left: 5 (65 enodes) 140.450 * * [simplify]: iters left: 4 (102 enodes) 140.467 * * [simplify]: iters left: 3 (148 enodes) 140.522 * * [simplify]: iters left: 2 (260 enodes) 140.586 * * [simplify]: iters left: 1 (424 enodes) 140.747 * * [simplify]: Extracting #0: cost 1 inf + 0 140.747 * * [simplify]: Extracting #1: cost 7 inf + 0 140.747 * * [simplify]: Extracting #2: cost 13 inf + 1 140.747 * * [simplify]: Extracting #3: cost 46 inf + 1 140.748 * * [simplify]: Extracting #4: cost 126 inf + 247 140.750 * * [simplify]: Extracting #5: cost 150 inf + 1576 140.755 * * [simplify]: Extracting #6: cost 84 inf + 13744 140.762 * * [simplify]: Extracting #7: cost 33 inf + 35777 140.772 * * [simplify]: Extracting #8: cost 0 inf + 65259 140.782 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 140.782 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 140.783 * * * * [progress]: [ 216 / 315 ] simplifiying candidate # 140.783 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) 1)) 140.783 * * [simplify]: iters left: 6 (7 enodes) 140.786 * * [simplify]: iters left: 5 (23 enodes) 140.790 * * [simplify]: iters left: 4 (27 enodes) 140.795 * * [simplify]: iters left: 3 (28 enodes) 140.802 * * [simplify]: Extracting #0: cost 1 inf + 0 140.802 * * [simplify]: Extracting #1: cost 4 inf + 0 140.802 * * [simplify]: Extracting #2: cost 5 inf + 1 140.802 * * [simplify]: Extracting #3: cost 7 inf + 1 140.802 * * [simplify]: Extracting #4: cost 2 inf + 287 140.802 * * [simplify]: Extracting #5: cost 0 inf + 490 140.803 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 140.803 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 140.803 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 140.803 * * [simplify]: iters left: 6 (15 enodes) 140.811 * * [simplify]: iters left: 5 (62 enodes) 140.829 * * [simplify]: iters left: 4 (102 enodes) 140.846 * * [simplify]: iters left: 3 (168 enodes) 140.900 * * [simplify]: iters left: 2 (350 enodes) 141.043 * * [simplify]: Extracting #0: cost 1 inf + 0 141.043 * * [simplify]: Extracting #1: cost 54 inf + 0 141.043 * * [simplify]: Extracting #2: cost 146 inf + 1 141.044 * * [simplify]: Extracting #3: cost 197 inf + 3 141.045 * * [simplify]: Extracting #4: cost 181 inf + 3277 141.047 * * [simplify]: Extracting #5: cost 140 inf + 11442 141.054 * * [simplify]: Extracting #6: cost 69 inf + 46576 141.067 * * [simplify]: Extracting #7: cost 4 inf + 96402 141.093 * * [simplify]: Extracting #8: cost 0 inf + 100098 141.125 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 141.125 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 141.126 * * * * [progress]: [ 217 / 315 ] simplifiying candidate # 141.126 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 141.126 * * [simplify]: iters left: 6 (16 enodes) 141.136 * * [simplify]: iters left: 5 (68 enodes) 141.160 * * [simplify]: iters left: 4 (115 enodes) 141.201 * * [simplify]: iters left: 3 (196 enodes) 141.254 * * [simplify]: iters left: 2 (406 enodes) 141.384 * * [simplify]: Extracting #0: cost 1 inf + 0 141.384 * * [simplify]: Extracting #1: cost 40 inf + 0 141.384 * * [simplify]: Extracting #2: cost 120 inf + 1 141.385 * * [simplify]: Extracting #3: cost 181 inf + 3 141.386 * * [simplify]: Extracting #4: cost 182 inf + 843 141.391 * * [simplify]: Extracting #5: cost 124 inf + 16791 141.415 * * [simplify]: Extracting #6: cost 24 inf + 68195 141.437 * * [simplify]: Extracting #7: cost 0 inf + 86342 141.450 * * [simplify]: Extracting #8: cost 0 inf + 85890 141.466 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 141.466 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 141.467 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 141.467 * * [simplify]: iters left: 6 (16 enodes) 141.476 * * [simplify]: iters left: 5 (68 enodes) 141.498 * * [simplify]: iters left: 4 (115 enodes) 141.533 * * [simplify]: iters left: 3 (196 enodes) 141.591 * * [simplify]: iters left: 2 (406 enodes) 141.702 * * [simplify]: Extracting #0: cost 1 inf + 0 141.702 * * [simplify]: Extracting #1: cost 40 inf + 0 141.702 * * [simplify]: Extracting #2: cost 120 inf + 1 141.703 * * [simplify]: Extracting #3: cost 181 inf + 3 141.704 * * [simplify]: Extracting #4: cost 182 inf + 843 141.706 * * [simplify]: Extracting #5: cost 124 inf + 16791 141.716 * * [simplify]: Extracting #6: cost 24 inf + 68195 141.736 * * [simplify]: Extracting #7: cost 0 inf + 86342 141.764 * * [simplify]: Extracting #8: cost 0 inf + 85890 141.796 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 141.796 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))))) 141.796 * * * * [progress]: [ 218 / 315 ] simplifiying candidate # 141.796 * [simplify]: Simplifying (/ (sqrt 1) (/ 1 (pow n (/ (- 1 k) 2)))) 141.797 * * [simplify]: iters left: 6 (10 enodes) 141.803 * * [simplify]: iters left: 5 (43 enodes) 141.814 * * [simplify]: iters left: 4 (66 enodes) 141.825 * * [simplify]: iters left: 3 (113 enodes) 141.858 * * [simplify]: iters left: 2 (235 enodes) 141.939 * * [simplify]: Extracting #0: cost 1 inf + 0 141.939 * * [simplify]: Extracting #1: cost 28 inf + 0 141.940 * * [simplify]: Extracting #2: cost 91 inf + 3 141.940 * * [simplify]: Extracting #3: cost 133 inf + 6 141.940 * * [simplify]: Extracting #4: cost 128 inf + 762 141.944 * * [simplify]: Extracting #5: cost 67 inf + 12209 141.955 * * [simplify]: Extracting #6: cost 9 inf + 40096 141.967 * * [simplify]: Extracting #7: cost 0 inf + 46563 141.978 * * [simplify]: Extracting #8: cost 0 inf + 46522 141.991 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 141.991 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (sqrt 1) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 141.991 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 141.991 * * [simplify]: iters left: 6 (12 enodes) 142.000 * * [simplify]: iters left: 5 (50 enodes) 142.021 * * [simplify]: iters left: 4 (86 enodes) 142.050 * * [simplify]: iters left: 3 (149 enodes) 142.112 * * [simplify]: iters left: 2 (314 enodes) 142.265 * * [simplify]: Extracting #0: cost 1 inf + 0 142.265 * * [simplify]: Extracting #1: cost 47 inf + 0 142.266 * * [simplify]: Extracting #2: cost 129 inf + 1 142.267 * * [simplify]: Extracting #3: cost 174 inf + 127 142.269 * * [simplify]: Extracting #4: cost 168 inf + 1129 142.273 * * [simplify]: Extracting #5: cost 125 inf + 10926 142.286 * * [simplify]: Extracting #6: cost 44 inf + 52003 142.309 * * [simplify]: Extracting #7: cost 0 inf + 83738 142.328 * * [simplify]: Extracting #8: cost 0 inf + 80065 142.339 * * [simplify]: Extracting #9: cost 0 inf + 79279 142.350 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 142.350 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 142.350 * * * * [progress]: [ 219 / 315 ] simplifiying candidate # 142.351 * [simplify]: Simplifying (/ (sqrt 1) (/ 1 (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 142.351 * * [simplify]: iters left: 6 (15 enodes) 142.357 * * [simplify]: iters left: 5 (64 enodes) 142.384 * * [simplify]: iters left: 4 (99 enodes) 142.415 * * [simplify]: iters left: 3 (146 enodes) 142.464 * * [simplify]: iters left: 2 (233 enodes) 142.544 * * [simplify]: iters left: 1 (420 enodes) 142.736 * * [simplify]: Extracting #0: cost 1 inf + 0 142.736 * * [simplify]: Extracting #1: cost 6 inf + 0 142.736 * * [simplify]: Extracting #2: cost 9 inf + 1 142.736 * * [simplify]: Extracting #3: cost 35 inf + 1 142.737 * * [simplify]: Extracting #4: cost 110 inf + 2 142.738 * * [simplify]: Extracting #5: cost 161 inf + 176 142.740 * * [simplify]: Extracting #6: cost 162 inf + 684 142.744 * * [simplify]: Extracting #7: cost 102 inf + 10200 142.758 * * [simplify]: Extracting #8: cost 24 inf + 47579 142.773 * * [simplify]: Extracting #9: cost 1 inf + 63694 142.784 * * [simplify]: Extracting #10: cost 0 inf + 63918 142.796 * [simplify]: Simplified to (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 142.796 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (sqrt 1) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 142.796 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 142.796 * * [simplify]: iters left: 6 (15 enodes) 142.805 * * [simplify]: iters left: 5 (62 enodes) 142.826 * * [simplify]: iters left: 4 (98 enodes) 142.862 * * [simplify]: iters left: 3 (144 enodes) 142.917 * * [simplify]: iters left: 2 (255 enodes) 142.987 * * [simplify]: iters left: 1 (425 enodes) 143.164 * * [simplify]: Extracting #0: cost 1 inf + 0 143.164 * * [simplify]: Extracting #1: cost 7 inf + 0 143.164 * * [simplify]: Extracting #2: cost 12 inf + 1 143.165 * * [simplify]: Extracting #3: cost 35 inf + 166 143.166 * * [simplify]: Extracting #4: cost 111 inf + 249 143.167 * * [simplify]: Extracting #5: cost 159 inf + 673 143.170 * * [simplify]: Extracting #6: cost 115 inf + 6009 143.180 * * [simplify]: Extracting #7: cost 39 inf + 33515 143.201 * * [simplify]: Extracting #8: cost 0 inf + 68367 143.225 * * [simplify]: Extracting #9: cost 0 inf + 67928 143.246 * [simplify]: Simplified to (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt k)) 143.246 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt k)))) 143.246 * * * * [progress]: [ 220 / 315 ] simplifiying candidate # 143.246 * [simplify]: Simplifying (/ (sqrt 1) (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 143.246 * * [simplify]: iters left: 6 (14 enodes) 143.255 * * [simplify]: iters left: 5 (59 enodes) 143.274 * * [simplify]: iters left: 4 (93 enodes) 143.290 * * [simplify]: iters left: 3 (136 enodes) 143.315 * * [simplify]: iters left: 2 (219 enodes) 143.373 * * [simplify]: iters left: 1 (399 enodes) 143.528 * * [simplify]: Extracting #0: cost 1 inf + 0 143.528 * * [simplify]: Extracting #1: cost 6 inf + 0 143.528 * * [simplify]: Extracting #2: cost 37 inf + 1 143.529 * * [simplify]: Extracting #3: cost 124 inf + 2 143.530 * * [simplify]: Extracting #4: cost 172 inf + 177 143.533 * * [simplify]: Extracting #5: cost 157 inf + 1710 143.541 * * [simplify]: Extracting #6: cost 57 inf + 25769 143.560 * * [simplify]: Extracting #7: cost 10 inf + 54501 143.583 * * [simplify]: Extracting #8: cost 0 inf + 59048 143.597 * * [simplify]: Extracting #9: cost 0 inf + 56783 143.613 * [simplify]: Simplified to (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 143.613 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 143.613 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 143.613 * * [simplify]: iters left: 6 (15 enodes) 143.618 * * [simplify]: iters left: 5 (62 enodes) 143.633 * * [simplify]: iters left: 4 (99 enodes) 143.650 * * [simplify]: iters left: 3 (148 enodes) 143.682 * * [simplify]: iters left: 2 (265 enodes) 143.748 * * [simplify]: iters left: 1 (442 enodes) 143.877 * * [simplify]: Extracting #0: cost 1 inf + 0 143.877 * * [simplify]: Extracting #1: cost 7 inf + 0 143.877 * * [simplify]: Extracting #2: cost 13 inf + 1 143.877 * * [simplify]: Extracting #3: cost 39 inf + 84 143.878 * * [simplify]: Extracting #4: cost 125 inf + 167 143.880 * * [simplify]: Extracting #5: cost 164 inf + 1046 143.885 * * [simplify]: Extracting #6: cost 100 inf + 11579 143.898 * * [simplify]: Extracting #7: cost 28 inf + 41407 143.917 * * [simplify]: Extracting #8: cost 2 inf + 63914 143.939 * * [simplify]: Extracting #9: cost 0 inf + 65528 143.960 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt k)) 143.960 * [simplify]: Simplified (2 2) to (λ (k n) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt k)))) 143.961 * * * * [progress]: [ 221 / 315 ] simplifiying candidate # 143.961 * [simplify]: Simplifying (/ (sqrt 1) (/ 1 1)) 143.961 * * [simplify]: iters left: 4 (4 enodes) 143.968 * * [simplify]: iters left: 3 (12 enodes) 143.971 * * [simplify]: iters left: 2 (14 enodes) 143.975 * * [simplify]: Extracting #0: cost 1 inf + 0 143.975 * * [simplify]: Extracting #1: cost 0 inf + 1 143.975 * [simplify]: Simplified to 1 143.975 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 143.975 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 143.975 * * [simplify]: iters left: 6 (14 enodes) 143.984 * * [simplify]: iters left: 5 (59 enodes) 143.996 * * [simplify]: iters left: 4 (103 enodes) 144.018 * * [simplify]: iters left: 3 (167 enodes) 144.075 * * [simplify]: iters left: 2 (328 enodes) 144.235 * * [simplify]: Extracting #0: cost 1 inf + 0 144.235 * * [simplify]: Extracting #1: cost 55 inf + 0 144.235 * * [simplify]: Extracting #2: cost 149 inf + 1 144.236 * * [simplify]: Extracting #3: cost 198 inf + 86 144.237 * * [simplify]: Extracting #4: cost 186 inf + 3407 144.239 * * [simplify]: Extracting #5: cost 145 inf + 9578 144.245 * * [simplify]: Extracting #6: cost 59 inf + 56043 144.263 * * [simplify]: Extracting #7: cost 0 inf + 100430 144.283 * * [simplify]: Extracting #8: cost 0 inf + 99146 144.297 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)) 144.297 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)))) 144.297 * * * * [progress]: [ 222 / 315 ] simplifiying candidate # 144.297 * [simplify]: Simplifying (/ (sqrt 1) (/ 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 144.297 * * [simplify]: iters left: 6 (14 enodes) 144.302 * * [simplify]: iters left: 5 (62 enodes) 144.317 * * [simplify]: iters left: 4 (103 enodes) 144.344 * * [simplify]: iters left: 3 (170 enodes) 144.405 * * [simplify]: iters left: 2 (312 enodes) 144.513 * * [simplify]: Extracting #0: cost 1 inf + 0 144.513 * * [simplify]: Extracting #1: cost 25 inf + 0 144.514 * * [simplify]: Extracting #2: cost 99 inf + 2 144.514 * * [simplify]: Extracting #3: cost 148 inf + 176 144.515 * * [simplify]: Extracting #4: cost 147 inf + 558 144.516 * * [simplify]: Extracting #5: cost 97 inf + 6908 144.521 * * [simplify]: Extracting #6: cost 21 inf + 38822 144.529 * * [simplify]: Extracting #7: cost 1 inf + 51033 144.547 * * [simplify]: Extracting #8: cost 0 inf + 51398 144.555 * [simplify]: Simplified to (pow (* n (* 2 PI)) (/ (- 1 k) 4)) 144.555 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 4)) (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 144.555 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 144.555 * * [simplify]: iters left: 6 (15 enodes) 144.560 * * [simplify]: iters left: 5 (65 enodes) 144.577 * * [simplify]: iters left: 4 (109 enodes) 144.602 * * [simplify]: iters left: 3 (183 enodes) 144.644 * * [simplify]: iters left: 2 (374 enodes) 144.787 * * [simplify]: Extracting #0: cost 1 inf + 0 144.787 * * [simplify]: Extracting #1: cost 42 inf + 0 144.788 * * [simplify]: Extracting #2: cost 133 inf + 1 144.788 * * [simplify]: Extracting #3: cost 186 inf + 45 144.789 * * [simplify]: Extracting #4: cost 175 inf + 3082 144.792 * * [simplify]: Extracting #5: cost 123 inf + 11441 144.809 * * [simplify]: Extracting #6: cost 38 inf + 60748 144.829 * * [simplify]: Extracting #7: cost 0 inf + 90611 144.843 * * [simplify]: Extracting #8: cost 0 inf + 90161 144.857 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt k)) 144.857 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt k)))) 144.857 * * * * [progress]: [ 223 / 315 ] simplifiying candidate # 144.857 * [simplify]: Simplifying (/ (sqrt 1) 1) 144.857 * * [simplify]: iters left: 3 (3 enodes) 144.860 * * [simplify]: iters left: 2 (9 enodes) 144.861 * * [simplify]: iters left: 1 (11 enodes) 144.863 * * [simplify]: Extracting #0: cost 1 inf + 0 144.863 * * [simplify]: Extracting #1: cost 0 inf + 1 144.863 * [simplify]: Simplified to 1 144.863 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 144.863 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 144.863 * * [simplify]: iters left: 6 (14 enodes) 144.867 * * [simplify]: iters left: 5 (59 enodes) 144.879 * * [simplify]: iters left: 4 (103 enodes) 144.912 * * [simplify]: iters left: 3 (167 enodes) 144.959 * * [simplify]: iters left: 2 (328 enodes) 145.078 * * [simplify]: Extracting #0: cost 1 inf + 0 145.078 * * [simplify]: Extracting #1: cost 55 inf + 0 145.078 * * [simplify]: Extracting #2: cost 149 inf + 1 145.079 * * [simplify]: Extracting #3: cost 198 inf + 86 145.083 * * [simplify]: Extracting #4: cost 186 inf + 3407 145.085 * * [simplify]: Extracting #5: cost 145 inf + 9578 145.092 * * [simplify]: Extracting #6: cost 59 inf + 56043 145.104 * * [simplify]: Extracting #7: cost 0 inf + 100430 145.126 * * [simplify]: Extracting #8: cost 0 inf + 99146 145.154 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)) 145.154 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)))) 145.154 * * * * [progress]: [ 224 / 315 ] simplifiying candidate # 145.154 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k)) 145.154 * * [simplify]: iters left: 3 (5 enodes) 145.159 * * [simplify]: iters left: 2 (17 enodes) 145.164 * * [simplify]: iters left: 1 (19 enodes) 145.169 * * [simplify]: Extracting #0: cost 1 inf + 0 145.170 * * [simplify]: Extracting #1: cost 4 inf + 0 145.170 * * [simplify]: Extracting #2: cost 5 inf + 1 145.170 * * [simplify]: Extracting #3: cost 0 inf + 248 145.170 * [simplify]: Simplified to (/ 1 (sqrt k)) 145.170 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (sqrt 1) (/ 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 145.170 * [simplify]: Simplifying (/ (sqrt 1) (/ 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 145.170 * * [simplify]: iters left: 6 (13 enodes) 145.179 * * [simplify]: iters left: 5 (56 enodes) 145.196 * * [simplify]: iters left: 4 (91 enodes) 145.214 * * [simplify]: iters left: 3 (141 enodes) 145.254 * * [simplify]: iters left: 2 (247 enodes) 145.367 * * [simplify]: Extracting #0: cost 1 inf + 0 145.367 * * [simplify]: Extracting #1: cost 26 inf + 0 145.367 * * [simplify]: Extracting #2: cost 95 inf + 2 145.368 * * [simplify]: Extracting #3: cost 134 inf + 174 145.369 * * [simplify]: Extracting #4: cost 126 inf + 763 145.373 * * [simplify]: Extracting #5: cost 77 inf + 8136 145.379 * * [simplify]: Extracting #6: cost 51 inf + 16205 145.390 * * [simplify]: Extracting #7: cost 4 inf + 47643 145.401 * * [simplify]: Extracting #8: cost 0 inf + 49683 145.408 * [simplify]: Simplified to (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 145.409 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 145.409 * * * * [progress]: [ 225 / 315 ] simplifiying candidate # 145.409 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ 1 2)))) 145.409 * * [simplify]: iters left: 6 (13 enodes) 145.414 * * [simplify]: iters left: 5 (51 enodes) 145.424 * * [simplify]: iters left: 4 (88 enodes) 145.454 * * [simplify]: iters left: 3 (155 enodes) 145.522 * * [simplify]: iters left: 2 (306 enodes) 145.677 * * [simplify]: Extracting #0: cost 1 inf + 0 145.678 * * [simplify]: Extracting #1: cost 40 inf + 0 145.678 * * [simplify]: Extracting #2: cost 108 inf + 1 145.679 * * [simplify]: Extracting #3: cost 107 inf + 255 145.680 * * [simplify]: Extracting #4: cost 100 inf + 1015 145.685 * * [simplify]: Extracting #5: cost 42 inf + 27146 145.698 * * [simplify]: Extracting #6: cost 0 inf + 52351 145.712 * [simplify]: Simplified to (/ (sqrt (* (* n 2) PI)) (sqrt k)) 145.712 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* n 2) PI)) (sqrt k)) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ k 2))))) 145.712 * [simplify]: Simplifying (/ (sqrt 1) (pow (* n (* 2 PI)) (/ k 2))) 145.712 * * [simplify]: iters left: 6 (11 enodes) 145.718 * * [simplify]: iters left: 5 (42 enodes) 145.732 * * [simplify]: iters left: 4 (66 enodes) 145.753 * * [simplify]: iters left: 3 (101 enodes) 145.793 * * [simplify]: iters left: 2 (171 enodes) 145.847 * * [simplify]: iters left: 1 (319 enodes) 145.989 * * [simplify]: Extracting #0: cost 1 inf + 0 145.990 * * [simplify]: Extracting #1: cost 6 inf + 0 145.990 * * [simplify]: Extracting #2: cost 42 inf + 1 145.990 * * [simplify]: Extracting #3: cost 131 inf + 2 145.992 * * [simplify]: Extracting #4: cost 158 inf + 554 145.995 * * [simplify]: Extracting #5: cost 94 inf + 13919 146.011 * * [simplify]: Extracting #6: cost 16 inf + 58388 146.031 * * [simplify]: Extracting #7: cost 0 inf + 71124 146.041 * * [simplify]: Extracting #8: cost 0 inf + 69491 146.052 * * [simplify]: Extracting #9: cost 0 inf + 69450 146.071 * [simplify]: Simplified to (/ 1 (pow (* n (* 2 PI)) (/ k 2))) 146.071 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* n 2) PI)) (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (/ k 2))))) 146.072 * * * * [progress]: [ 226 / 315 ] simplifiying candidate # 146.072 * [simplify]: Simplifying (/ 1 (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 146.072 * * [simplify]: iters left: 6 (15 enodes) 146.080 * * [simplify]: iters left: 5 (62 enodes) 146.101 * * [simplify]: iters left: 4 (99 enodes) 146.136 * * [simplify]: iters left: 3 (145 enodes) 146.186 * * [simplify]: iters left: 2 (236 enodes) 146.276 * * [simplify]: iters left: 1 (421 enodes) 146.456 * * [simplify]: Extracting #0: cost 1 inf + 0 146.456 * * [simplify]: Extracting #1: cost 6 inf + 0 146.457 * * [simplify]: Extracting #2: cost 9 inf + 1 146.457 * * [simplify]: Extracting #3: cost 14 inf + 1 146.457 * * [simplify]: Extracting #4: cost 44 inf + 1 146.457 * * [simplify]: Extracting #5: cost 133 inf + 3 146.459 * * [simplify]: Extracting #6: cost 169 inf + 1003 146.464 * * [simplify]: Extracting #7: cost 105 inf + 14878 146.482 * * [simplify]: Extracting #8: cost 26 inf + 52648 146.504 * * [simplify]: Extracting #9: cost 1 inf + 72061 146.515 * * [simplify]: Extracting #10: cost 0 inf + 72859 146.526 * [simplify]: Simplified to (/ 1 (* (cbrt (/ (sqrt k) (pow (* (* n PI) 2) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* (* n PI) 2) (/ (- 1 k) 2)))))) 146.526 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* (* n PI) 2) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* (* n PI) 2) (/ (- 1 k) 2)))))) (/ 1 (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 146.526 * [simplify]: Simplifying (/ 1 (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 146.526 * * [simplify]: iters left: 6 (14 enodes) 146.530 * * [simplify]: iters left: 5 (57 enodes) 146.541 * * [simplify]: iters left: 4 (92 enodes) 146.556 * * [simplify]: iters left: 3 (134 enodes) 146.600 * * [simplify]: iters left: 2 (220 enodes) 146.664 * * [simplify]: iters left: 1 (418 enodes) 146.869 * * [simplify]: Extracting #0: cost 1 inf + 0 146.869 * * [simplify]: Extracting #1: cost 4 inf + 0 146.869 * * [simplify]: Extracting #2: cost 5 inf + 1 146.869 * * [simplify]: Extracting #3: cost 10 inf + 1 146.869 * * [simplify]: Extracting #4: cost 51 inf + 1 146.869 * * [simplify]: Extracting #5: cost 150 inf + 3 146.870 * * [simplify]: Extracting #6: cost 190 inf + 1536 146.873 * * [simplify]: Extracting #7: cost 109 inf + 19399 146.885 * * [simplify]: Extracting #8: cost 21 inf + 68101 146.898 * * [simplify]: Extracting #9: cost 0 inf + 84200 146.914 * * [simplify]: Extracting #10: cost 0 inf + 83138 146.932 * [simplify]: Simplified to (/ 1 (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) 146.932 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ 1 (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))) 146.932 * * * * [progress]: [ 227 / 315 ] simplifiying candidate # 146.932 * [simplify]: Simplifying (/ 1 (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 146.932 * * [simplify]: iters left: 6 (14 enodes) 146.936 * * [simplify]: iters left: 5 (57 enodes) 146.947 * * [simplify]: iters left: 4 (92 enodes) 146.963 * * [simplify]: iters left: 3 (134 enodes) 146.993 * * [simplify]: iters left: 2 (220 enodes) 147.078 * * [simplify]: iters left: 1 (418 enodes) 147.294 * * [simplify]: Extracting #0: cost 1 inf + 0 147.295 * * [simplify]: Extracting #1: cost 4 inf + 0 147.295 * * [simplify]: Extracting #2: cost 5 inf + 1 147.295 * * [simplify]: Extracting #3: cost 10 inf + 1 147.295 * * [simplify]: Extracting #4: cost 51 inf + 1 147.296 * * [simplify]: Extracting #5: cost 150 inf + 3 147.297 * * [simplify]: Extracting #6: cost 190 inf + 1536 147.304 * * [simplify]: Extracting #7: cost 109 inf + 19279 147.326 * * [simplify]: Extracting #8: cost 21 inf + 67941 147.352 * * [simplify]: Extracting #9: cost 0 inf + 84040 147.367 * * [simplify]: Extracting #10: cost 0 inf + 82978 147.380 * [simplify]: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) 147.380 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ 1 (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 147.380 * [simplify]: Simplifying (/ 1 (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 147.380 * * [simplify]: iters left: 6 (14 enodes) 147.384 * * [simplify]: iters left: 5 (57 enodes) 147.394 * * [simplify]: iters left: 4 (92 enodes) 147.410 * * [simplify]: iters left: 3 (134 enodes) 147.438 * * [simplify]: iters left: 2 (220 enodes) 147.502 * * [simplify]: iters left: 1 (418 enodes) 147.709 * * [simplify]: Extracting #0: cost 1 inf + 0 147.709 * * [simplify]: Extracting #1: cost 4 inf + 0 147.709 * * [simplify]: Extracting #2: cost 5 inf + 1 147.709 * * [simplify]: Extracting #3: cost 10 inf + 1 147.709 * * [simplify]: Extracting #4: cost 51 inf + 1 147.709 * * [simplify]: Extracting #5: cost 150 inf + 3 147.710 * * [simplify]: Extracting #6: cost 190 inf + 1536 147.714 * * [simplify]: Extracting #7: cost 109 inf + 19279 147.726 * * [simplify]: Extracting #8: cost 21 inf + 67941 147.743 * * [simplify]: Extracting #9: cost 0 inf + 84040 147.756 * * [simplify]: Extracting #10: cost 0 inf + 82978 147.773 * [simplify]: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) 147.773 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ 1 (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))) 147.774 * * * * [progress]: [ 228 / 315 ] simplifiying candidate # 147.774 * [simplify]: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2)))) 147.774 * * [simplify]: iters left: 6 (12 enodes) 147.781 * * [simplify]: iters left: 5 (51 enodes) 147.799 * * [simplify]: iters left: 4 (95 enodes) 147.817 * * [simplify]: iters left: 3 (186 enodes) 147.875 * * [simplify]: iters left: 2 (447 enodes) 148.111 * * [simplify]: Extracting #0: cost 1 inf + 0 148.111 * * [simplify]: Extracting #1: cost 93 inf + 0 148.112 * * [simplify]: Extracting #2: cost 266 inf + 1 148.113 * * [simplify]: Extracting #3: cost 331 inf + 4 148.115 * * [simplify]: Extracting #4: cost 312 inf + 5290 148.119 * * [simplify]: Extracting #5: cost 228 inf + 32549 148.139 * * [simplify]: Extracting #6: cost 63 inf + 140951 148.164 * * [simplify]: Extracting #7: cost 0 inf + 188657 148.189 * * [simplify]: Extracting #8: cost 0 inf + 188355 148.215 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 148.215 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 148.216 * [simplify]: Simplifying (/ 1 (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 148.216 * * [simplify]: iters left: 6 (12 enodes) 148.219 * * [simplify]: iters left: 5 (50 enodes) 148.229 * * [simplify]: iters left: 4 (84 enodes) 148.245 * * [simplify]: iters left: 3 (140 enodes) 148.297 * * [simplify]: iters left: 2 (294 enodes) 148.408 * * [simplify]: Extracting #0: cost 1 inf + 0 148.408 * * [simplify]: Extracting #1: cost 40 inf + 0 148.408 * * [simplify]: Extracting #2: cost 123 inf + 1 148.409 * * [simplify]: Extracting #3: cost 173 inf + 3 148.410 * * [simplify]: Extracting #4: cost 176 inf + 585 148.411 * * [simplify]: Extracting #5: cost 131 inf + 8932 148.416 * * [simplify]: Extracting #6: cost 60 inf + 40554 148.440 * * [simplify]: Extracting #7: cost 4 inf + 80412 148.458 * * [simplify]: Extracting #8: cost 0 inf + 83356 148.468 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k))) 148.468 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k))))) 148.468 * * * * [progress]: [ 229 / 315 ] simplifiying candidate # 148.469 * [simplify]: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 148.469 * * [simplify]: iters left: 6 (17 enodes) 148.474 * * [simplify]: iters left: 5 (74 enodes) 148.491 * * [simplify]: iters left: 4 (132 enodes) 148.518 * * [simplify]: iters left: 3 (208 enodes) 148.594 * * [simplify]: iters left: 2 (355 enodes) 148.718 * * [simplify]: Extracting #0: cost 1 inf + 0 148.718 * * [simplify]: Extracting #1: cost 17 inf + 0 148.718 * * [simplify]: Extracting #2: cost 31 inf + 1 148.718 * * [simplify]: Extracting #3: cost 46 inf + 1 148.719 * * [simplify]: Extracting #4: cost 93 inf + 3 148.720 * * [simplify]: Extracting #5: cost 116 inf + 1232 148.724 * * [simplify]: Extracting #6: cost 62 inf + 14579 148.734 * * [simplify]: Extracting #7: cost 19 inf + 29938 148.747 * * [simplify]: Extracting #8: cost 2 inf + 40243 148.759 * * [simplify]: Extracting #9: cost 0 inf + 41275 148.765 * [simplify]: Simplified to (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k)))) 148.766 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k)))) (/ 1 (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 148.766 * [simplify]: Simplifying (/ 1 (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 148.766 * * [simplify]: iters left: 6 (15 enodes) 148.773 * * [simplify]: iters left: 5 (62 enodes) 148.784 * * [simplify]: iters left: 4 (96 enodes) 148.816 * * [simplify]: iters left: 3 (138 enodes) 148.847 * * [simplify]: iters left: 2 (246 enodes) 148.918 * * [simplify]: iters left: 1 (422 enodes) 149.099 * * [simplify]: Extracting #0: cost 1 inf + 0 149.099 * * [simplify]: Extracting #1: cost 7 inf + 0 149.099 * * [simplify]: Extracting #2: cost 12 inf + 1 149.099 * * [simplify]: Extracting #3: cost 42 inf + 1 149.099 * * [simplify]: Extracting #4: cost 121 inf + 3 149.100 * * [simplify]: Extracting #5: cost 164 inf + 875 149.102 * * [simplify]: Extracting #6: cost 100 inf + 14393 149.108 * * [simplify]: Extracting #7: cost 31 inf + 43687 149.119 * * [simplify]: Extracting #8: cost 0 inf + 67278 149.130 * * [simplify]: Extracting #9: cost 0 inf + 66565 149.141 * [simplify]: Simplified to (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (cbrt (sqrt k))) 149.141 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (cbrt (sqrt k))))) 149.142 * * * * [progress]: [ 230 / 315 ] simplifiying candidate # 149.142 * [simplify]: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 149.142 * * [simplify]: iters left: 6 (16 enodes) 149.146 * * [simplify]: iters left: 5 (67 enodes) 149.158 * * [simplify]: iters left: 4 (109 enodes) 149.180 * * [simplify]: iters left: 3 (167 enodes) 149.224 * * [simplify]: iters left: 2 (292 enodes) 149.287 * * [simplify]: iters left: 1 (469 enodes) 149.518 * * [simplify]: Extracting #0: cost 1 inf + 0 149.518 * * [simplify]: Extracting #1: cost 12 inf + 0 149.518 * * [simplify]: Extracting #2: cost 22 inf + 1 149.518 * * [simplify]: Extracting #3: cost 54 inf + 1 149.519 * * [simplify]: Extracting #4: cost 144 inf + 3 149.521 * * [simplify]: Extracting #5: cost 172 inf + 1740 149.527 * * [simplify]: Extracting #6: cost 95 inf + 17571 149.545 * * [simplify]: Extracting #7: cost 11 inf + 61169 149.567 * * [simplify]: Extracting #8: cost 0 inf + 71210 149.590 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 149.590 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 149.590 * [simplify]: Simplifying (/ 1 (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 149.591 * * [simplify]: iters left: 6 (15 enodes) 149.596 * * [simplify]: iters left: 5 (62 enodes) 149.608 * * [simplify]: iters left: 4 (97 enodes) 149.640 * * [simplify]: iters left: 3 (142 enodes) 149.683 * * [simplify]: iters left: 2 (256 enodes) 149.760 * * [simplify]: iters left: 1 (440 enodes) 149.947 * * [simplify]: Extracting #0: cost 1 inf + 0 149.947 * * [simplify]: Extracting #1: cost 7 inf + 0 149.947 * * [simplify]: Extracting #2: cost 13 inf + 1 149.947 * * [simplify]: Extracting #3: cost 47 inf + 1 149.949 * * [simplify]: Extracting #4: cost 135 inf + 3 149.950 * * [simplify]: Extracting #5: cost 183 inf + 1162 149.961 * * [simplify]: Extracting #6: cost 107 inf + 13247 149.973 * * [simplify]: Extracting #7: cost 42 inf + 33739 149.995 * * [simplify]: Extracting #8: cost 0 inf + 73472 150.017 * * [simplify]: Extracting #9: cost 0 inf + 70415 150.034 * * [simplify]: Extracting #10: cost 0 inf + 69542 150.045 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 150.045 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 150.046 * * * * [progress]: [ 231 / 315 ] simplifiying candidate # 150.046 * [simplify]: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 150.046 * * [simplify]: iters left: 6 (7 enodes) 150.048 * * [simplify]: iters left: 5 (25 enodes) 150.053 * * [simplify]: iters left: 4 (38 enodes) 150.059 * * [simplify]: iters left: 3 (42 enodes) 150.065 * * [simplify]: Extracting #0: cost 1 inf + 0 150.065 * * [simplify]: Extracting #1: cost 6 inf + 0 150.065 * * [simplify]: Extracting #2: cost 9 inf + 1 150.065 * * [simplify]: Extracting #3: cost 11 inf + 1 150.065 * * [simplify]: Extracting #4: cost 10 inf + 2 150.066 * * [simplify]: Extracting #5: cost 2 inf + 1093 150.066 * * [simplify]: Extracting #6: cost 0 inf + 1376 150.066 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 150.066 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 150.066 * [simplify]: Simplifying (/ 1 (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 150.066 * * [simplify]: iters left: 6 (14 enodes) 150.428 * * [simplify]: iters left: 5 (59 enodes) 150.449 * * [simplify]: iters left: 4 (101 enodes) 150.477 * * [simplify]: iters left: 3 (158 enodes) 150.522 * * [simplify]: iters left: 2 (310 enodes) 150.632 * * [simplify]: Extracting #0: cost 1 inf + 0 150.632 * * [simplify]: Extracting #1: cost 49 inf + 0 150.633 * * [simplify]: Extracting #2: cost 132 inf + 1 150.634 * * [simplify]: Extracting #3: cost 185 inf + 3 150.636 * * [simplify]: Extracting #4: cost 166 inf + 4060 150.641 * * [simplify]: Extracting #5: cost 104 inf + 22432 150.651 * * [simplify]: Extracting #6: cost 22 inf + 79552 150.665 * * [simplify]: Extracting #7: cost 0 inf + 97342 150.684 * * [simplify]: Extracting #8: cost 0 inf + 94804 150.711 * * [simplify]: Extracting #9: cost 0 inf + 93948 150.739 * * [simplify]: Extracting #10: cost 0 inf + 93817 150.770 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (cbrt (sqrt k))) 150.771 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (cbrt (sqrt k))))) 150.771 * * * * [progress]: [ 232 / 315 ] simplifiying candidate # 150.771 * [simplify]: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 150.771 * * [simplify]: iters left: 6 (16 enodes) 150.780 * * [simplify]: iters left: 5 (70 enodes) 150.804 * * [simplify]: iters left: 4 (125 enodes) 150.844 * * [simplify]: iters left: 3 (234 enodes) 150.918 * * [simplify]: Extracting #0: cost 1 inf + 0 150.918 * * [simplify]: Extracting #1: cost 32 inf + 0 150.918 * * [simplify]: Extracting #2: cost 100 inf + 1 150.919 * * [simplify]: Extracting #3: cost 144 inf + 2 150.919 * * [simplify]: Extracting #4: cost 143 inf + 706 150.921 * * [simplify]: Extracting #5: cost 86 inf + 11932 150.927 * * [simplify]: Extracting #6: cost 14 inf + 46608 150.936 * * [simplify]: Extracting #7: cost 0 inf + 57375 150.944 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 150.944 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 150.945 * [simplify]: Simplifying (/ 1 (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 150.945 * * [simplify]: iters left: 6 (15 enodes) 150.949 * * [simplify]: iters left: 5 (65 enodes) 150.971 * * [simplify]: iters left: 4 (107 enodes) 151.008 * * [simplify]: iters left: 3 (174 enodes) 151.047 * * [simplify]: iters left: 2 (352 enodes) 151.154 * * [simplify]: Extracting #0: cost 1 inf + 0 151.155 * * [simplify]: Extracting #1: cost 49 inf + 0 151.155 * * [simplify]: Extracting #2: cost 129 inf + 1 151.157 * * [simplify]: Extracting #3: cost 185 inf + 3 151.159 * * [simplify]: Extracting #4: cost 174 inf + 3612 151.168 * * [simplify]: Extracting #5: cost 83 inf + 36879 151.195 * * [simplify]: Extracting #6: cost 1 inf + 95097 151.222 * * [simplify]: Extracting #7: cost 0 inf + 93416 151.249 * * [simplify]: Extracting #8: cost 0 inf + 93327 151.276 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (cbrt (sqrt k))) 151.276 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (cbrt (sqrt k))))) 151.277 * * * * [progress]: [ 233 / 315 ] simplifiying candidate # 151.277 * [simplify]: Simplifying (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow n (/ (- 1 k) 2)))) 151.277 * * [simplify]: iters left: 6 (12 enodes) 151.284 * * [simplify]: iters left: 5 (50 enodes) 151.305 * * [simplify]: iters left: 4 (84 enodes) 151.334 * * [simplify]: iters left: 3 (136 enodes) 151.389 * * [simplify]: iters left: 2 (285 enodes) 151.493 * * [simplify]: Extracting #0: cost 1 inf + 0 151.493 * * [simplify]: Extracting #1: cost 48 inf + 0 151.494 * * [simplify]: Extracting #2: cost 132 inf + 1 151.495 * * [simplify]: Extracting #3: cost 179 inf + 4 151.497 * * [simplify]: Extracting #4: cost 174 inf + 1247 151.500 * * [simplify]: Extracting #5: cost 132 inf + 8349 151.508 * * [simplify]: Extracting #6: cost 78 inf + 29872 151.529 * * [simplify]: Extracting #7: cost 15 inf + 71178 151.551 * * [simplify]: Extracting #8: cost 0 inf + 81708 151.572 * * [simplify]: Extracting #9: cost 0 inf + 81669 151.593 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) 151.593 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (/ 1 (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 151.593 * [simplify]: Simplifying (/ 1 (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 151.594 * * [simplify]: iters left: 6 (12 enodes) 151.600 * * [simplify]: iters left: 5 (50 enodes) 151.616 * * [simplify]: iters left: 4 (84 enodes) 151.633 * * [simplify]: iters left: 3 (140 enodes) 151.675 * * [simplify]: iters left: 2 (294 enodes) 151.765 * * [simplify]: Extracting #0: cost 1 inf + 0 151.765 * * [simplify]: Extracting #1: cost 40 inf + 0 151.766 * * [simplify]: Extracting #2: cost 123 inf + 1 151.766 * * [simplify]: Extracting #3: cost 173 inf + 3 151.767 * * [simplify]: Extracting #4: cost 176 inf + 625 151.768 * * [simplify]: Extracting #5: cost 131 inf + 9012 151.777 * * [simplify]: Extracting #6: cost 60 inf + 40634 151.789 * * [simplify]: Extracting #7: cost 4 inf + 80492 151.800 * * [simplify]: Extracting #8: cost 0 inf + 83436 151.817 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k))) 151.817 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 151.817 * * * * [progress]: [ 234 / 315 ] simplifiying candidate # 151.817 * [simplify]: Simplifying (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 151.818 * * [simplify]: iters left: 6 (17 enodes) 151.826 * * [simplify]: iters left: 5 (71 enodes) 151.852 * * [simplify]: iters left: 4 (111 enodes) 151.872 * * [simplify]: iters left: 3 (164 enodes) 151.910 * * [simplify]: iters left: 2 (280 enodes) 151.981 * * [simplify]: iters left: 1 (473 enodes) 152.141 * * [simplify]: Extracting #0: cost 1 inf + 0 152.142 * * [simplify]: Extracting #1: cost 10 inf + 0 152.142 * * [simplify]: Extracting #2: cost 19 inf + 1 152.142 * * [simplify]: Extracting #3: cost 49 inf + 1 152.142 * * [simplify]: Extracting #4: cost 128 inf + 3 152.143 * * [simplify]: Extracting #5: cost 181 inf + 908 152.145 * * [simplify]: Extracting #6: cost 126 inf + 7359 152.149 * * [simplify]: Extracting #7: cost 61 inf + 25853 152.163 * * [simplify]: Extracting #8: cost 12 inf + 62734 152.189 * * [simplify]: Extracting #9: cost 0 inf + 73190 152.215 * * [simplify]: Extracting #10: cost 0 inf + 72855 152.244 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k))))) (fabs (cbrt k))) 152.245 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k))))) (fabs (cbrt k))) (/ 1 (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 152.245 * [simplify]: Simplifying (/ 1 (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 152.245 * * [simplify]: iters left: 6 (15 enodes) 152.253 * * [simplify]: iters left: 5 (62 enodes) 152.268 * * [simplify]: iters left: 4 (96 enodes) 152.285 * * [simplify]: iters left: 3 (138 enodes) 152.326 * * [simplify]: iters left: 2 (246 enodes) 152.415 * * [simplify]: iters left: 1 (422 enodes) 152.569 * * [simplify]: Extracting #0: cost 1 inf + 0 152.569 * * [simplify]: Extracting #1: cost 7 inf + 0 152.569 * * [simplify]: Extracting #2: cost 12 inf + 1 152.569 * * [simplify]: Extracting #3: cost 42 inf + 1 152.570 * * [simplify]: Extracting #4: cost 121 inf + 3 152.571 * * [simplify]: Extracting #5: cost 164 inf + 955 152.576 * * [simplify]: Extracting #6: cost 100 inf + 14473 152.588 * * [simplify]: Extracting #7: cost 31 inf + 43767 152.609 * * [simplify]: Extracting #8: cost 0 inf + 67358 152.629 * * [simplify]: Extracting #9: cost 0 inf + 66645 152.648 * [simplify]: Simplified to (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (cbrt k))) 152.648 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (cbrt k))))) 152.649 * * * * [progress]: [ 235 / 315 ] simplifiying candidate # 152.649 * [simplify]: Simplifying (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 152.649 * * [simplify]: iters left: 6 (16 enodes) 152.657 * * [simplify]: iters left: 5 (66 enodes) 152.676 * * [simplify]: iters left: 4 (101 enodes) 152.712 * * [simplify]: iters left: 3 (146 enodes) 152.766 * * [simplify]: iters left: 2 (257 enodes) 152.834 * * [simplify]: iters left: 1 (422 enodes) 153.009 * * [simplify]: Extracting #0: cost 1 inf + 0 153.009 * * [simplify]: Extracting #1: cost 7 inf + 0 153.009 * * [simplify]: Extracting #2: cost 14 inf + 1 153.010 * * [simplify]: Extracting #3: cost 48 inf + 1 153.010 * * [simplify]: Extracting #4: cost 131 inf + 3 153.011 * * [simplify]: Extracting #5: cost 178 inf + 1459 153.014 * * [simplify]: Extracting #6: cost 80 inf + 24454 153.027 * * [simplify]: Extracting #7: cost 12 inf + 57741 153.038 * * [simplify]: Extracting #8: cost 0 inf + 66800 153.048 * * [simplify]: Extracting #9: cost 0 inf + 66185 153.070 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (fabs (cbrt k))) 153.070 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (fabs (cbrt k))) (/ 1 (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 153.071 * [simplify]: Simplifying (/ 1 (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 153.072 * * [simplify]: iters left: 6 (15 enodes) 153.080 * * [simplify]: iters left: 5 (62 enodes) 153.100 * * [simplify]: iters left: 4 (97 enodes) 153.131 * * [simplify]: iters left: 3 (142 enodes) 153.188 * * [simplify]: iters left: 2 (256 enodes) 153.274 * * [simplify]: iters left: 1 (440 enodes) 153.458 * * [simplify]: Extracting #0: cost 1 inf + 0 153.458 * * [simplify]: Extracting #1: cost 7 inf + 0 153.458 * * [simplify]: Extracting #2: cost 13 inf + 1 153.458 * * [simplify]: Extracting #3: cost 47 inf + 1 153.459 * * [simplify]: Extracting #4: cost 135 inf + 3 153.461 * * [simplify]: Extracting #5: cost 183 inf + 1202 153.464 * * [simplify]: Extracting #6: cost 107 inf + 13327 153.470 * * [simplify]: Extracting #7: cost 42 inf + 33819 153.484 * * [simplify]: Extracting #8: cost 0 inf + 73552 153.502 * * [simplify]: Extracting #9: cost 0 inf + 70495 153.524 * * [simplify]: Extracting #10: cost 0 inf + 69622 153.543 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt (cbrt k))) 153.543 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt (cbrt k))))) 153.543 * * * * [progress]: [ 236 / 315 ] simplifiying candidate # 153.544 * [simplify]: Simplifying (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) 1)) 153.544 * * [simplify]: iters left: 6 (7 enodes) 153.546 * * [simplify]: iters left: 5 (23 enodes) 153.551 * * [simplify]: iters left: 4 (29 enodes) 153.556 * * [simplify]: Extracting #0: cost 1 inf + 0 153.556 * * [simplify]: Extracting #1: cost 4 inf + 0 153.556 * * [simplify]: Extracting #2: cost 6 inf + 1 153.556 * * [simplify]: Extracting #3: cost 9 inf + 1 153.556 * * [simplify]: Extracting #4: cost 8 inf + 2 153.556 * * [simplify]: Extracting #5: cost 2 inf + 689 153.556 * * [simplify]: Extracting #6: cost 0 inf + 972 153.556 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 153.556 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ 1 (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 153.557 * [simplify]: Simplifying (/ 1 (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 153.557 * * [simplify]: iters left: 6 (14 enodes) 153.561 * * [simplify]: iters left: 5 (59 enodes) 153.572 * * [simplify]: iters left: 4 (101 enodes) 153.593 * * [simplify]: iters left: 3 (158 enodes) 153.630 * * [simplify]: iters left: 2 (310 enodes) 153.746 * * [simplify]: Extracting #0: cost 1 inf + 0 153.746 * * [simplify]: Extracting #1: cost 49 inf + 0 153.747 * * [simplify]: Extracting #2: cost 132 inf + 1 153.748 * * [simplify]: Extracting #3: cost 185 inf + 3 153.750 * * [simplify]: Extracting #4: cost 166 inf + 4100 153.757 * * [simplify]: Extracting #5: cost 104 inf + 22512 153.776 * * [simplify]: Extracting #6: cost 22 inf + 79632 153.807 * * [simplify]: Extracting #7: cost 0 inf + 97422 153.828 * * [simplify]: Extracting #8: cost 0 inf + 94884 153.842 * * [simplify]: Extracting #9: cost 0 inf + 94028 153.865 * * [simplify]: Extracting #10: cost 0 inf + 93897 153.879 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt (cbrt k))) 153.879 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 153.879 * * * * [progress]: [ 237 / 315 ] simplifiying candidate # 153.880 * [simplify]: Simplifying (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 153.880 * * [simplify]: iters left: 6 (16 enodes) 153.885 * * [simplify]: iters left: 5 (69 enodes) 153.900 * * [simplify]: iters left: 4 (111 enodes) 153.941 * * [simplify]: iters left: 3 (178 enodes) 153.984 * * [simplify]: iters left: 2 (354 enodes) 154.097 * * [simplify]: Extracting #0: cost 1 inf + 0 154.098 * * [simplify]: Extracting #1: cost 39 inf + 0 154.098 * * [simplify]: Extracting #2: cost 118 inf + 1 154.099 * * [simplify]: Extracting #3: cost 176 inf + 3 154.101 * * [simplify]: Extracting #4: cost 183 inf + 750 154.105 * * [simplify]: Extracting #5: cost 128 inf + 12365 154.119 * * [simplify]: Extracting #6: cost 55 inf + 46758 154.146 * * [simplify]: Extracting #7: cost 2 inf + 88685 154.171 * * [simplify]: Extracting #8: cost 0 inf + 87703 154.197 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (fabs (cbrt k))) 154.198 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (fabs (cbrt k))) (/ 1 (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 154.198 * [simplify]: Simplifying (/ 1 (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 154.198 * * [simplify]: iters left: 6 (15 enodes) 154.206 * * [simplify]: iters left: 5 (65 enodes) 154.223 * * [simplify]: iters left: 4 (107 enodes) 154.244 * * [simplify]: iters left: 3 (174 enodes) 154.314 * * [simplify]: iters left: 2 (352 enodes) 154.446 * * [simplify]: Extracting #0: cost 1 inf + 0 154.446 * * [simplify]: Extracting #1: cost 49 inf + 0 154.446 * * [simplify]: Extracting #2: cost 129 inf + 1 154.447 * * [simplify]: Extracting #3: cost 185 inf + 3 154.448 * * [simplify]: Extracting #4: cost 174 inf + 3652 154.455 * * [simplify]: Extracting #5: cost 83 inf + 36959 154.476 * * [simplify]: Extracting #6: cost 1 inf + 95177 154.503 * * [simplify]: Extracting #7: cost 0 inf + 93496 154.530 * * [simplify]: Extracting #8: cost 0 inf + 93407 154.549 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt (cbrt k))) 154.549 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt (cbrt k))))) 154.550 * * * * [progress]: [ 238 / 315 ] simplifiying candidate # 154.550 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) 154.550 * * [simplify]: iters left: 6 (11 enodes) 154.553 * * [simplify]: iters left: 5 (46 enodes) 154.562 * * [simplify]: iters left: 4 (76 enodes) 154.584 * * [simplify]: iters left: 3 (133 enodes) 154.616 * * [simplify]: iters left: 2 (300 enodes) 154.733 * * [simplify]: Extracting #0: cost 1 inf + 0 154.733 * * [simplify]: Extracting #1: cost 41 inf + 0 154.733 * * [simplify]: Extracting #2: cost 125 inf + 1 154.734 * * [simplify]: Extracting #3: cost 172 inf + 4 154.736 * * [simplify]: Extracting #4: cost 167 inf + 1755 154.739 * * [simplify]: Extracting #5: cost 128 inf + 9842 154.753 * * [simplify]: Extracting #6: cost 30 inf + 58855 154.763 * * [simplify]: Extracting #7: cost 0 inf + 80605 154.776 * * [simplify]: Extracting #8: cost 0 inf + 79808 154.793 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 154.793 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ 1 (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 154.793 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 154.793 * * [simplify]: iters left: 6 (12 enodes) 154.800 * * [simplify]: iters left: 5 (50 enodes) 154.818 * * [simplify]: iters left: 4 (84 enodes) 154.847 * * [simplify]: iters left: 3 (140 enodes) 154.903 * * [simplify]: iters left: 2 (294 enodes) 155.021 * * [simplify]: Extracting #0: cost 1 inf + 0 155.021 * * [simplify]: Extracting #1: cost 40 inf + 0 155.022 * * [simplify]: Extracting #2: cost 123 inf + 1 155.023 * * [simplify]: Extracting #3: cost 173 inf + 3 155.024 * * [simplify]: Extracting #4: cost 176 inf + 505 155.027 * * [simplify]: Extracting #5: cost 131 inf + 8572 155.037 * * [simplify]: Extracting #6: cost 60 inf + 39394 155.047 * * [simplify]: Extracting #7: cost 4 inf + 77612 155.058 * * [simplify]: Extracting #8: cost 0 inf + 80436 155.072 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 155.072 * [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))))) 155.072 * * * * [progress]: [ 239 / 315 ] simplifiying candidate # 155.073 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 155.073 * * [simplify]: iters left: 6 (16 enodes) 155.077 * * [simplify]: iters left: 5 (67 enodes) 155.089 * * [simplify]: iters left: 4 (107 enodes) 155.112 * * [simplify]: iters left: 3 (157 enodes) 155.151 * * [simplify]: iters left: 2 (268 enodes) 155.234 * * [simplify]: iters left: 1 (446 enodes) 155.383 * * [simplify]: Extracting #0: cost 1 inf + 0 155.383 * * [simplify]: Extracting #1: cost 10 inf + 0 155.383 * * [simplify]: Extracting #2: cost 18 inf + 1 155.383 * * [simplify]: Extracting #3: cost 47 inf + 1 155.384 * * [simplify]: Extracting #4: cost 123 inf + 3 155.384 * * [simplify]: Extracting #5: cost 174 inf + 1169 155.387 * * [simplify]: Extracting #6: cost 103 inf + 14295 155.398 * * [simplify]: Extracting #7: cost 23 inf + 52681 155.409 * * [simplify]: Extracting #8: cost 0 inf + 73260 155.421 * * [simplify]: Extracting #9: cost 0 inf + 72125 155.439 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) (sqrt (sqrt k))) 155.440 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) (sqrt (sqrt k))) (/ 1 (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 155.440 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 155.440 * * [simplify]: iters left: 6 (15 enodes) 155.448 * * [simplify]: iters left: 5 (62 enodes) 155.469 * * [simplify]: iters left: 4 (96 enodes) 155.500 * * [simplify]: iters left: 3 (138 enodes) 155.539 * * [simplify]: iters left: 2 (246 enodes) 155.605 * * [simplify]: iters left: 1 (422 enodes) 155.789 * * [simplify]: Extracting #0: cost 1 inf + 0 155.789 * * [simplify]: Extracting #1: cost 7 inf + 0 155.789 * * [simplify]: Extracting #2: cost 12 inf + 1 155.789 * * [simplify]: Extracting #3: cost 42 inf + 1 155.790 * * [simplify]: Extracting #4: cost 121 inf + 3 155.790 * * [simplify]: Extracting #5: cost 164 inf + 795 155.793 * * [simplify]: Extracting #6: cost 100 inf + 14113 155.799 * * [simplify]: Extracting #7: cost 31 inf + 43367 155.810 * * [simplify]: Extracting #8: cost 0 inf + 66958 155.831 * * [simplify]: Extracting #9: cost 0 inf + 66245 155.843 * [simplify]: Simplified to (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))) 155.843 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))))) 155.843 * * * * [progress]: [ 240 / 315 ] simplifiying candidate # 155.843 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 155.843 * * [simplify]: iters left: 6 (15 enodes) 155.848 * * [simplify]: iters left: 5 (62 enodes) 155.864 * * [simplify]: iters left: 4 (97 enodes) 155.895 * * [simplify]: iters left: 3 (142 enodes) 155.928 * * [simplify]: iters left: 2 (256 enodes) 156.012 * * [simplify]: iters left: 1 (440 enodes) 156.200 * * [simplify]: Extracting #0: cost 1 inf + 0 156.200 * * [simplify]: Extracting #1: cost 7 inf + 0 156.201 * * [simplify]: Extracting #2: cost 13 inf + 1 156.201 * * [simplify]: Extracting #3: cost 47 inf + 1 156.201 * * [simplify]: Extracting #4: cost 135 inf + 3 156.202 * * [simplify]: Extracting #5: cost 183 inf + 1042 156.205 * * [simplify]: Extracting #6: cost 107 inf + 12967 156.211 * * [simplify]: Extracting #7: cost 42 inf + 33419 156.222 * * [simplify]: Extracting #8: cost 0 inf + 73152 156.236 * * [simplify]: Extracting #9: cost 0 inf + 70095 156.261 * * [simplify]: Extracting #10: cost 0 inf + 69222 156.276 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 156.276 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 156.276 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 156.276 * * [simplify]: iters left: 6 (15 enodes) 156.280 * * [simplify]: iters left: 5 (62 enodes) 156.291 * * [simplify]: iters left: 4 (97 enodes) 156.318 * * [simplify]: iters left: 3 (142 enodes) 156.354 * * [simplify]: iters left: 2 (256 enodes) 156.424 * * [simplify]: iters left: 1 (440 enodes) 156.611 * * [simplify]: Extracting #0: cost 1 inf + 0 156.611 * * [simplify]: Extracting #1: cost 7 inf + 0 156.612 * * [simplify]: Extracting #2: cost 13 inf + 1 156.612 * * [simplify]: Extracting #3: cost 47 inf + 1 156.613 * * [simplify]: Extracting #4: cost 135 inf + 3 156.615 * * [simplify]: Extracting #5: cost 183 inf + 1042 156.620 * * [simplify]: Extracting #6: cost 107 inf + 12967 156.632 * * [simplify]: Extracting #7: cost 42 inf + 33419 156.656 * * [simplify]: Extracting #8: cost 0 inf + 73152 156.681 * * [simplify]: Extracting #9: cost 0 inf + 70095 156.702 * * [simplify]: Extracting #10: cost 0 inf + 69222 156.724 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 156.724 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 156.724 * * * * [progress]: [ 241 / 315 ] simplifiying candidate # 156.725 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) 1)) 156.725 * * [simplify]: iters left: 6 (6 enodes) 156.728 * * [simplify]: iters left: 5 (20 enodes) 156.732 * * [simplify]: iters left: 4 (24 enodes) 156.735 * * [simplify]: iters left: 3 (25 enodes) 156.739 * * [simplify]: Extracting #0: cost 1 inf + 0 156.739 * * [simplify]: Extracting #1: cost 4 inf + 0 156.739 * * [simplify]: Extracting #2: cost 5 inf + 1 156.739 * * [simplify]: Extracting #3: cost 7 inf + 1 156.739 * * [simplify]: Extracting #4: cost 6 inf + 2 156.739 * * [simplify]: Extracting #5: cost 0 inf + 490 156.739 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 156.739 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 156.739 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 156.740 * * [simplify]: iters left: 6 (14 enodes) 156.743 * * [simplify]: iters left: 5 (59 enodes) 156.754 * * [simplify]: iters left: 4 (101 enodes) 156.784 * * [simplify]: iters left: 3 (158 enodes) 156.848 * * [simplify]: iters left: 2 (310 enodes) 156.955 * * [simplify]: Extracting #0: cost 1 inf + 0 156.956 * * [simplify]: Extracting #1: cost 49 inf + 0 156.956 * * [simplify]: Extracting #2: cost 132 inf + 1 156.957 * * [simplify]: Extracting #3: cost 185 inf + 3 156.958 * * [simplify]: Extracting #4: cost 166 inf + 3860 156.961 * * [simplify]: Extracting #5: cost 104 inf + 21672 156.972 * * [simplify]: Extracting #6: cost 22 inf + 77192 156.999 * * [simplify]: Extracting #7: cost 0 inf + 94262 157.031 * * [simplify]: Extracting #8: cost 0 inf + 91724 157.059 * * [simplify]: Extracting #9: cost 0 inf + 90868 157.088 * * [simplify]: Extracting #10: cost 0 inf + 90737 157.116 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 157.116 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 157.116 * * * * [progress]: [ 242 / 315 ] simplifiying candidate # 157.117 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 157.117 * * [simplify]: iters left: 6 (15 enodes) 157.125 * * [simplify]: iters left: 5 (65 enodes) 157.147 * * [simplify]: iters left: 4 (107 enodes) 157.172 * * [simplify]: iters left: 3 (174 enodes) 157.209 * * [simplify]: iters left: 2 (352 enodes) 157.368 * * [simplify]: Extracting #0: cost 1 inf + 0 157.368 * * [simplify]: Extracting #1: cost 49 inf + 0 157.369 * * [simplify]: Extracting #2: cost 129 inf + 1 157.370 * * [simplify]: Extracting #3: cost 185 inf + 3 157.372 * * [simplify]: Extracting #4: cost 174 inf + 3452 157.382 * * [simplify]: Extracting #5: cost 83 inf + 35919 157.411 * * [simplify]: Extracting #6: cost 1 inf + 92137 157.438 * * [simplify]: Extracting #7: cost 0 inf + 90456 157.467 * * [simplify]: Extracting #8: cost 0 inf + 90367 157.494 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 157.494 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 157.495 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 157.495 * * [simplify]: iters left: 6 (15 enodes) 157.504 * * [simplify]: iters left: 5 (65 enodes) 157.524 * * [simplify]: iters left: 4 (107 enodes) 157.546 * * [simplify]: iters left: 3 (174 enodes) 157.584 * * [simplify]: iters left: 2 (352 enodes) 157.707 * * [simplify]: Extracting #0: cost 1 inf + 0 157.707 * * [simplify]: Extracting #1: cost 49 inf + 0 157.708 * * [simplify]: Extracting #2: cost 129 inf + 1 157.709 * * [simplify]: Extracting #3: cost 185 inf + 3 157.710 * * [simplify]: Extracting #4: cost 174 inf + 3452 157.718 * * [simplify]: Extracting #5: cost 83 inf + 35919 157.731 * * [simplify]: Extracting #6: cost 1 inf + 92137 157.745 * * [simplify]: Extracting #7: cost 0 inf + 90456 157.759 * * [simplify]: Extracting #8: cost 0 inf + 90367 157.774 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 157.774 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt (sqrt k))))) 157.774 * * * * [progress]: [ 243 / 315 ] simplifiying candidate # 157.774 * [simplify]: Simplifying (/ 1 (/ (sqrt 1) (pow n (/ (- 1 k) 2)))) 157.774 * * [simplify]: iters left: 6 (10 enodes) 157.778 * * [simplify]: iters left: 5 (43 enodes) 157.788 * * [simplify]: iters left: 4 (68 enodes) 157.810 * * [simplify]: iters left: 3 (113 enodes) 157.853 * * [simplify]: iters left: 2 (234 enodes) 157.928 * * [simplify]: iters left: 1 (494 enodes) 158.294 * * [simplify]: Extracting #0: cost 1 inf + 0 158.294 * * [simplify]: Extracting #1: cost 50 inf + 0 158.296 * * [simplify]: Extracting #2: cost 193 inf + 3 158.298 * * [simplify]: Extracting #3: cost 262 inf + 8 158.301 * * [simplify]: Extracting #4: cost 260 inf + 430 158.306 * * [simplify]: Extracting #5: cost 185 inf + 10333 158.322 * * [simplify]: Extracting #6: cost 93 inf + 47308 158.353 * * [simplify]: Extracting #7: cost 4 inf + 115794 158.371 * * [simplify]: Extracting #8: cost 0 inf + 118324 158.392 * [simplify]: Simplified to (pow n (- 1/2 (/ k 2))) 158.392 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ 1 (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 158.392 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 158.392 * * [simplify]: iters left: 6 (11 enodes) 158.398 * * [simplify]: iters left: 5 (47 enodes) 158.414 * * [simplify]: iters left: 4 (77 enodes) 158.437 * * [simplify]: iters left: 3 (134 enodes) 158.468 * * [simplify]: iters left: 2 (301 enodes) 158.541 * * [simplify]: Extracting #0: cost 1 inf + 0 158.541 * * [simplify]: Extracting #1: cost 42 inf + 0 158.541 * * [simplify]: Extracting #2: cost 127 inf + 1 158.542 * * [simplify]: Extracting #3: cost 170 inf + 168 158.542 * * [simplify]: Extracting #4: cost 158 inf + 2585 158.546 * * [simplify]: Extracting #5: cost 122 inf + 11161 158.554 * * [simplify]: Extracting #6: cost 30 inf + 64294 158.564 * * [simplify]: Extracting #7: cost 0 inf + 84117 158.577 * * [simplify]: Extracting #8: cost 0 inf + 81734 158.599 * * [simplify]: Extracting #9: cost 0 inf + 80853 158.611 * * [simplify]: Extracting #10: cost 0 inf + 80461 158.622 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 158.622 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 158.622 * * * * [progress]: [ 244 / 315 ] simplifiying candidate # 158.622 * [simplify]: Simplifying (/ 1 (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 158.622 * * [simplify]: iters left: 6 (15 enodes) 158.627 * * [simplify]: iters left: 5 (64 enodes) 158.647 * * [simplify]: iters left: 4 (106 enodes) 158.670 * * [simplify]: iters left: 3 (156 enodes) 158.701 * * [simplify]: iters left: 2 (247 enodes) 158.765 * * [simplify]: iters left: 1 (430 enodes) 158.915 * * [simplify]: Extracting #0: cost 1 inf + 0 158.915 * * [simplify]: Extracting #1: cost 6 inf + 0 158.915 * * [simplify]: Extracting #2: cost 9 inf + 1 158.915 * * [simplify]: Extracting #3: cost 35 inf + 1 158.916 * * [simplify]: Extracting #4: cost 111 inf + 2 158.916 * * [simplify]: Extracting #5: cost 169 inf + 176 158.917 * * [simplify]: Extracting #6: cost 172 inf + 436 158.920 * * [simplify]: Extracting #7: cost 129 inf + 4316 158.927 * * [simplify]: Extracting #8: cost 58 inf + 22518 158.943 * * [simplify]: Extracting #9: cost 14 inf + 53662 158.963 * * [simplify]: Extracting #10: cost 0 inf + 64368 158.974 * * [simplify]: Extracting #11: cost 0 inf + 64328 158.985 * * [simplify]: Extracting #12: cost 0 inf + 64288 159.000 * [simplify]: Simplified to (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 159.000 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ 1 (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 159.001 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 159.001 * * [simplify]: iters left: 6 (14 enodes) 159.008 * * [simplify]: iters left: 5 (59 enodes) 159.031 * * [simplify]: iters left: 4 (97 enodes) 159.061 * * [simplify]: iters left: 3 (137 enodes) 159.102 * * [simplify]: iters left: 2 (229 enodes) 159.179 * * [simplify]: iters left: 1 (418 enodes) 159.368 * * [simplify]: Extracting #0: cost 1 inf + 0 159.368 * * [simplify]: Extracting #1: cost 7 inf + 0 159.369 * * [simplify]: Extracting #2: cost 12 inf + 1 159.369 * * [simplify]: Extracting #3: cost 37 inf + 2 159.369 * * [simplify]: Extracting #4: cost 113 inf + 167 159.371 * * [simplify]: Extracting #5: cost 171 inf + 465 159.374 * * [simplify]: Extracting #6: cost 111 inf + 10870 159.381 * * [simplify]: Extracting #7: cost 26 inf + 46041 159.391 * * [simplify]: Extracting #8: cost 1 inf + 66410 159.401 * * [simplify]: Extracting #9: cost 0 inf + 66786 159.411 * [simplify]: Simplified to (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt k)) 159.411 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt k)))) 159.411 * * * * [progress]: [ 245 / 315 ] simplifiying candidate # 159.411 * [simplify]: Simplifying (/ 1 (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 159.411 * * [simplify]: iters left: 6 (14 enodes) 159.416 * * [simplify]: iters left: 5 (59 enodes) 159.428 * * [simplify]: iters left: 4 (95 enodes) 159.445 * * [simplify]: iters left: 3 (138 enodes) 159.489 * * [simplify]: iters left: 2 (221 enodes) 159.552 * * [simplify]: iters left: 1 (402 enodes) 159.701 * * [simplify]: Extracting #0: cost 1 inf + 0 159.701 * * [simplify]: Extracting #1: cost 6 inf + 0 159.701 * * [simplify]: Extracting #2: cost 31 inf + 1 159.701 * * [simplify]: Extracting #3: cost 115 inf + 2 159.703 * * [simplify]: Extracting #4: cost 165 inf + 135 159.704 * * [simplify]: Extracting #5: cost 165 inf + 436 159.706 * * [simplify]: Extracting #6: cost 109 inf + 6868 159.712 * * [simplify]: Extracting #7: cost 27 inf + 38754 159.721 * * [simplify]: Extracting #8: cost 1 inf + 58939 159.733 * * [simplify]: Extracting #9: cost 0 inf + 59348 159.743 * [simplify]: Simplified to (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 159.743 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 159.743 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 159.743 * * [simplify]: iters left: 6 (14 enodes) 159.747 * * [simplify]: iters left: 5 (59 enodes) 159.758 * * [simplify]: iters left: 4 (98 enodes) 159.774 * * [simplify]: iters left: 3 (138 enodes) 159.799 * * [simplify]: iters left: 2 (231 enodes) 159.866 * * [simplify]: iters left: 1 (408 enodes) 160.048 * * [simplify]: Extracting #0: cost 1 inf + 0 160.048 * * [simplify]: Extracting #1: cost 7 inf + 0 160.048 * * [simplify]: Extracting #2: cost 13 inf + 1 160.049 * * [simplify]: Extracting #3: cost 38 inf + 2 160.049 * * [simplify]: Extracting #4: cost 123 inf + 167 160.051 * * [simplify]: Extracting #5: cost 167 inf + 590 160.055 * * [simplify]: Extracting #6: cost 103 inf + 11234 160.064 * * [simplify]: Extracting #7: cost 53 inf + 21420 160.081 * * [simplify]: Extracting #8: cost 6 inf + 60416 160.101 * * [simplify]: Extracting #9: cost 0 inf + 65147 160.112 * * [simplify]: Extracting #10: cost 0 inf + 63194 160.126 * [simplify]: Simplified to (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 160.126 * [simplify]: Simplified (2 2) to (λ (k n) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)))) 160.126 * * * * [progress]: [ 246 / 315 ] simplifiying candidate # 160.127 * [simplify]: Simplifying (/ 1 (/ (sqrt 1) 1)) 160.127 * * [simplify]: iters left: 5 (4 enodes) 160.131 * * [simplify]: iters left: 4 (14 enodes) 160.133 * * [simplify]: iters left: 3 (16 enodes) 160.136 * * [simplify]: Extracting #0: cost 1 inf + 0 160.136 * * [simplify]: Extracting #1: cost 0 inf + 1 160.136 * [simplify]: Simplified to 1 160.136 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 160.136 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 160.136 * * [simplify]: iters left: 6 (13 enodes) 160.143 * * [simplify]: iters left: 5 (56 enodes) 160.163 * * [simplify]: iters left: 4 (98 enodes) 160.195 * * [simplify]: iters left: 3 (155 enodes) 160.254 * * [simplify]: iters left: 2 (307 enodes) 160.376 * * [simplify]: Extracting #0: cost 1 inf + 0 160.376 * * [simplify]: Extracting #1: cost 49 inf + 0 160.377 * * [simplify]: Extracting #2: cost 126 inf + 1 160.378 * * [simplify]: Extracting #3: cost 171 inf + 127 160.379 * * [simplify]: Extracting #4: cost 159 inf + 1874 160.386 * * [simplify]: Extracting #5: cost 90 inf + 23886 160.405 * * [simplify]: Extracting #6: cost 13 inf + 73261 160.429 * * [simplify]: Extracting #7: cost 0 inf + 80895 160.454 * [simplify]: Simplified to (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 160.454 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))) 160.454 * * * * [progress]: [ 247 / 315 ] simplifiying candidate # 160.455 * [simplify]: Simplifying (/ 1 (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 160.455 * * [simplify]: iters left: 6 (14 enodes) 160.464 * * [simplify]: iters left: 5 (62 enodes) 160.486 * * [simplify]: iters left: 4 (105 enodes) 160.513 * * [simplify]: iters left: 3 (170 enodes) 160.558 * * [simplify]: iters left: 2 (312 enodes) 160.672 * * [simplify]: Extracting #0: cost 1 inf + 0 160.672 * * [simplify]: Extracting #1: cost 21 inf + 0 160.673 * * [simplify]: Extracting #2: cost 96 inf + 2 160.674 * * [simplify]: Extracting #3: cost 146 inf + 176 160.675 * * [simplify]: Extracting #4: cost 146 inf + 516 160.678 * * [simplify]: Extracting #5: cost 100 inf + 5738 160.687 * * [simplify]: Extracting #6: cost 28 inf + 32626 160.701 * * [simplify]: Extracting #7: cost 0 inf + 51213 160.713 * * [simplify]: Extracting #8: cost 0 inf + 50689 160.721 * [simplify]: Simplified to (pow (* n (* 2 PI)) (/ (- 1 k) 4)) 160.721 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 4)) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 160.721 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 160.721 * * [simplify]: iters left: 6 (14 enodes) 160.728 * * [simplify]: iters left: 5 (62 enodes) 160.741 * * [simplify]: iters left: 4 (110 enodes) 160.772 * * [simplify]: iters left: 3 (187 enodes) 160.831 * * [simplify]: iters left: 2 (380 enodes) 160.982 * * [simplify]: Extracting #0: cost 1 inf + 0 160.982 * * [simplify]: Extracting #1: cost 50 inf + 0 160.983 * * [simplify]: Extracting #2: cost 131 inf + 1 160.984 * * [simplify]: Extracting #3: cost 187 inf + 127 160.986 * * [simplify]: Extracting #4: cost 179 inf + 2499 160.998 * * [simplify]: Extracting #5: cost 84 inf + 37105 161.034 * * [simplify]: Extracting #6: cost 7 inf + 77270 161.070 * * [simplify]: Extracting #7: cost 0 inf + 79381 161.089 * * [simplify]: Extracting #8: cost 0 inf + 79041 161.109 * [simplify]: Simplified to (/ (pow (* n (* 2 PI)) (/ (- 1 k) 4)) (sqrt k)) 161.109 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 4)) (sqrt k)))) 161.109 * * * * [progress]: [ 248 / 315 ] simplifiying candidate # 161.110 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) 161.110 * * [simplify]: iters left: 6 (11 enodes) 161.113 * * [simplify]: iters left: 5 (46 enodes) 161.121 * * [simplify]: iters left: 4 (76 enodes) 161.135 * * [simplify]: iters left: 3 (133 enodes) 161.167 * * [simplify]: iters left: 2 (300 enodes) 161.252 * * [simplify]: Extracting #0: cost 1 inf + 0 161.253 * * [simplify]: Extracting #1: cost 41 inf + 0 161.253 * * [simplify]: Extracting #2: cost 125 inf + 1 161.254 * * [simplify]: Extracting #3: cost 172 inf + 4 161.256 * * [simplify]: Extracting #4: cost 167 inf + 1755 161.259 * * [simplify]: Extracting #5: cost 128 inf + 9842 161.271 * * [simplify]: Extracting #6: cost 30 inf + 58855 161.281 * * [simplify]: Extracting #7: cost 0 inf + 80605 161.292 * * [simplify]: Extracting #8: cost 0 inf + 79808 161.303 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 161.303 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ 1 (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 161.304 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 161.304 * * [simplify]: iters left: 6 (12 enodes) 161.310 * * [simplify]: iters left: 5 (50 enodes) 161.328 * * [simplify]: iters left: 4 (84 enodes) 161.356 * * [simplify]: iters left: 3 (140 enodes) 161.414 * * [simplify]: iters left: 2 (294 enodes) 161.553 * * [simplify]: Extracting #0: cost 1 inf + 0 161.553 * * [simplify]: Extracting #1: cost 40 inf + 0 161.554 * * [simplify]: Extracting #2: cost 123 inf + 1 161.555 * * [simplify]: Extracting #3: cost 173 inf + 3 161.556 * * [simplify]: Extracting #4: cost 176 inf + 505 161.559 * * [simplify]: Extracting #5: cost 131 inf + 8572 161.568 * * [simplify]: Extracting #6: cost 60 inf + 39394 161.588 * * [simplify]: Extracting #7: cost 4 inf + 77612 161.609 * * [simplify]: Extracting #8: cost 0 inf + 80436 161.631 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 161.631 * [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))))) 161.631 * * * * [progress]: [ 249 / 315 ] simplifiying candidate # 161.632 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 161.632 * * [simplify]: iters left: 6 (16 enodes) 161.643 * * [simplify]: iters left: 5 (67 enodes) 161.665 * * [simplify]: iters left: 4 (107 enodes) 161.685 * * [simplify]: iters left: 3 (157 enodes) 161.728 * * [simplify]: iters left: 2 (268 enodes) 161.823 * * [simplify]: iters left: 1 (446 enodes) 162.024 * * [simplify]: Extracting #0: cost 1 inf + 0 162.024 * * [simplify]: Extracting #1: cost 10 inf + 0 162.024 * * [simplify]: Extracting #2: cost 18 inf + 1 162.025 * * [simplify]: Extracting #3: cost 47 inf + 1 162.025 * * [simplify]: Extracting #4: cost 123 inf + 3 162.027 * * [simplify]: Extracting #5: cost 174 inf + 1169 162.033 * * [simplify]: Extracting #6: cost 103 inf + 14295 162.041 * * [simplify]: Extracting #7: cost 23 inf + 52681 162.053 * * [simplify]: Extracting #8: cost 0 inf + 73260 162.065 * * [simplify]: Extracting #9: cost 0 inf + 72125 162.076 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) (sqrt (sqrt k))) 162.076 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) (sqrt (sqrt k))) (/ 1 (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 162.077 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 162.077 * * [simplify]: iters left: 6 (15 enodes) 162.081 * * [simplify]: iters left: 5 (62 enodes) 162.100 * * [simplify]: iters left: 4 (96 enodes) 162.121 * * [simplify]: iters left: 3 (138 enodes) 162.160 * * [simplify]: iters left: 2 (246 enodes) 162.212 * * [simplify]: iters left: 1 (422 enodes) 162.376 * * [simplify]: Extracting #0: cost 1 inf + 0 162.376 * * [simplify]: Extracting #1: cost 7 inf + 0 162.377 * * [simplify]: Extracting #2: cost 12 inf + 1 162.377 * * [simplify]: Extracting #3: cost 42 inf + 1 162.378 * * [simplify]: Extracting #4: cost 121 inf + 3 162.379 * * [simplify]: Extracting #5: cost 164 inf + 795 162.383 * * [simplify]: Extracting #6: cost 100 inf + 14113 162.396 * * [simplify]: Extracting #7: cost 31 inf + 43367 162.417 * * [simplify]: Extracting #8: cost 0 inf + 66958 162.438 * * [simplify]: Extracting #9: cost 0 inf + 66245 162.460 * [simplify]: Simplified to (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))) 162.460 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))))) 162.460 * * * * [progress]: [ 250 / 315 ] simplifiying candidate # 162.461 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 162.461 * * [simplify]: iters left: 6 (15 enodes) 162.469 * * [simplify]: iters left: 5 (62 enodes) 162.489 * * [simplify]: iters left: 4 (97 enodes) 162.520 * * [simplify]: iters left: 3 (142 enodes) 162.574 * * [simplify]: iters left: 2 (256 enodes) 162.665 * * [simplify]: iters left: 1 (440 enodes) 162.841 * * [simplify]: Extracting #0: cost 1 inf + 0 162.842 * * [simplify]: Extracting #1: cost 7 inf + 0 162.842 * * [simplify]: Extracting #2: cost 13 inf + 1 162.842 * * [simplify]: Extracting #3: cost 47 inf + 1 162.842 * * [simplify]: Extracting #4: cost 135 inf + 3 162.843 * * [simplify]: Extracting #5: cost 183 inf + 1042 162.849 * * [simplify]: Extracting #6: cost 107 inf + 12967 162.855 * * [simplify]: Extracting #7: cost 42 inf + 33419 162.866 * * [simplify]: Extracting #8: cost 0 inf + 73152 162.881 * * [simplify]: Extracting #9: cost 0 inf + 70095 162.902 * * [simplify]: Extracting #10: cost 0 inf + 69222 162.914 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 162.914 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 162.914 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 162.915 * * [simplify]: iters left: 6 (15 enodes) 162.919 * * [simplify]: iters left: 5 (62 enodes) 162.930 * * [simplify]: iters left: 4 (97 enodes) 162.960 * * [simplify]: iters left: 3 (142 enodes) 162.993 * * [simplify]: iters left: 2 (256 enodes) 163.078 * * [simplify]: iters left: 1 (440 enodes) 163.277 * * [simplify]: Extracting #0: cost 1 inf + 0 163.277 * * [simplify]: Extracting #1: cost 7 inf + 0 163.277 * * [simplify]: Extracting #2: cost 13 inf + 1 163.277 * * [simplify]: Extracting #3: cost 47 inf + 1 163.278 * * [simplify]: Extracting #4: cost 135 inf + 3 163.280 * * [simplify]: Extracting #5: cost 183 inf + 1042 163.285 * * [simplify]: Extracting #6: cost 107 inf + 12967 163.297 * * [simplify]: Extracting #7: cost 42 inf + 33419 163.319 * * [simplify]: Extracting #8: cost 0 inf + 73152 163.341 * * [simplify]: Extracting #9: cost 0 inf + 70095 163.363 * * [simplify]: Extracting #10: cost 0 inf + 69222 163.384 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 163.385 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 163.385 * * * * [progress]: [ 251 / 315 ] simplifiying candidate # 163.385 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) 1)) 163.385 * * [simplify]: iters left: 6 (6 enodes) 163.388 * * [simplify]: iters left: 5 (20 enodes) 163.395 * * [simplify]: iters left: 4 (24 enodes) 163.402 * * [simplify]: iters left: 3 (25 enodes) 163.409 * * [simplify]: Extracting #0: cost 1 inf + 0 163.409 * * [simplify]: Extracting #1: cost 4 inf + 0 163.409 * * [simplify]: Extracting #2: cost 5 inf + 1 163.409 * * [simplify]: Extracting #3: cost 7 inf + 1 163.410 * * [simplify]: Extracting #4: cost 6 inf + 2 163.410 * * [simplify]: Extracting #5: cost 0 inf + 490 163.410 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 163.410 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 163.410 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 163.411 * * [simplify]: iters left: 6 (14 enodes) 163.418 * * [simplify]: iters left: 5 (59 enodes) 163.435 * * [simplify]: iters left: 4 (101 enodes) 163.453 * * [simplify]: iters left: 3 (158 enodes) 163.486 * * [simplify]: iters left: 2 (310 enodes) 163.610 * * [simplify]: Extracting #0: cost 1 inf + 0 163.610 * * [simplify]: Extracting #1: cost 49 inf + 0 163.611 * * [simplify]: Extracting #2: cost 132 inf + 1 163.611 * * [simplify]: Extracting #3: cost 185 inf + 3 163.612 * * [simplify]: Extracting #4: cost 166 inf + 3860 163.615 * * [simplify]: Extracting #5: cost 104 inf + 21672 163.625 * * [simplify]: Extracting #6: cost 22 inf + 77192 163.639 * * [simplify]: Extracting #7: cost 0 inf + 94262 163.668 * * [simplify]: Extracting #8: cost 0 inf + 91724 163.695 * * [simplify]: Extracting #9: cost 0 inf + 90868 163.724 * * [simplify]: Extracting #10: cost 0 inf + 90737 163.754 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 163.754 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 163.754 * * * * [progress]: [ 252 / 315 ] simplifiying candidate # 163.754 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 163.754 * * [simplify]: iters left: 6 (15 enodes) 163.763 * * [simplify]: iters left: 5 (65 enodes) 163.784 * * [simplify]: iters left: 4 (107 enodes) 163.820 * * [simplify]: iters left: 3 (174 enodes) 163.888 * * [simplify]: iters left: 2 (352 enodes) 164.052 * * [simplify]: Extracting #0: cost 1 inf + 0 164.052 * * [simplify]: Extracting #1: cost 49 inf + 0 164.052 * * [simplify]: Extracting #2: cost 129 inf + 1 164.053 * * [simplify]: Extracting #3: cost 185 inf + 3 164.054 * * [simplify]: Extracting #4: cost 174 inf + 3452 164.059 * * [simplify]: Extracting #5: cost 83 inf + 35919 164.072 * * [simplify]: Extracting #6: cost 1 inf + 92137 164.091 * * [simplify]: Extracting #7: cost 0 inf + 90456 164.110 * * [simplify]: Extracting #8: cost 0 inf + 90367 164.127 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 164.127 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 164.127 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 164.127 * * [simplify]: iters left: 6 (15 enodes) 164.132 * * [simplify]: iters left: 5 (65 enodes) 164.153 * * [simplify]: iters left: 4 (107 enodes) 164.189 * * [simplify]: iters left: 3 (174 enodes) 164.244 * * [simplify]: iters left: 2 (352 enodes) 164.391 * * [simplify]: Extracting #0: cost 1 inf + 0 164.391 * * [simplify]: Extracting #1: cost 49 inf + 0 164.391 * * [simplify]: Extracting #2: cost 129 inf + 1 164.392 * * [simplify]: Extracting #3: cost 185 inf + 3 164.393 * * [simplify]: Extracting #4: cost 174 inf + 3452 164.398 * * [simplify]: Extracting #5: cost 83 inf + 35919 164.420 * * [simplify]: Extracting #6: cost 1 inf + 92137 164.448 * * [simplify]: Extracting #7: cost 0 inf + 90456 164.476 * * [simplify]: Extracting #8: cost 0 inf + 90367 164.508 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 164.508 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt (sqrt k))))) 164.508 * * * * [progress]: [ 253 / 315 ] simplifiying candidate # 164.509 * [simplify]: Simplifying (/ 1 (/ 1 (pow n (/ (- 1 k) 2)))) 164.509 * * [simplify]: iters left: 6 (9 enodes) 164.515 * * [simplify]: iters left: 5 (38 enodes) 164.528 * * [simplify]: iters left: 4 (66 enodes) 164.551 * * [simplify]: iters left: 3 (122 enodes) 164.575 * * [simplify]: iters left: 2 (249 enodes) 164.680 * * [simplify]: Extracting #0: cost 1 inf + 0 164.681 * * [simplify]: Extracting #1: cost 37 inf + 0 164.681 * * [simplify]: Extracting #2: cost 114 inf + 3 164.682 * * [simplify]: Extracting #3: cost 158 inf + 6 164.684 * * [simplify]: Extracting #4: cost 151 inf + 761 164.687 * * [simplify]: Extracting #5: cost 99 inf + 8279 164.695 * * [simplify]: Extracting #6: cost 37 inf + 37241 164.706 * * [simplify]: Extracting #7: cost 2 inf + 62020 164.714 * * [simplify]: Extracting #8: cost 0 inf + 61986 164.723 * * [simplify]: Extracting #9: cost 0 inf + 61724 164.738 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 164.738 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ 1 (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 164.739 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 164.739 * * [simplify]: iters left: 6 (11 enodes) 164.746 * * [simplify]: iters left: 5 (47 enodes) 164.763 * * [simplify]: iters left: 4 (77 enodes) 164.789 * * [simplify]: iters left: 3 (134 enodes) 164.828 * * [simplify]: iters left: 2 (301 enodes) 164.931 * * [simplify]: Extracting #0: cost 1 inf + 0 164.931 * * [simplify]: Extracting #1: cost 42 inf + 0 164.931 * * [simplify]: Extracting #2: cost 127 inf + 1 164.932 * * [simplify]: Extracting #3: cost 170 inf + 168 164.933 * * [simplify]: Extracting #4: cost 158 inf + 2585 164.936 * * [simplify]: Extracting #5: cost 122 inf + 11161 164.951 * * [simplify]: Extracting #6: cost 30 inf + 64294 164.973 * * [simplify]: Extracting #7: cost 0 inf + 84117 164.989 * * [simplify]: Extracting #8: cost 0 inf + 81734 165.000 * * [simplify]: Extracting #9: cost 0 inf + 80853 165.020 * * [simplify]: Extracting #10: cost 0 inf + 80461 165.036 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 165.036 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 165.036 * * * * [progress]: [ 254 / 315 ] simplifiying candidate # 165.036 * [simplify]: Simplifying (/ 1 (/ 1 (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 165.036 * * [simplify]: iters left: 6 (14 enodes) 165.041 * * [simplify]: iters left: 5 (59 enodes) 165.052 * * [simplify]: iters left: 4 (97 enodes) 165.071 * * [simplify]: iters left: 3 (148 enodes) 165.120 * * [simplify]: iters left: 2 (242 enodes) 165.187 * * [simplify]: iters left: 1 (422 enodes) 165.374 * * [simplify]: Extracting #0: cost 1 inf + 0 165.374 * * [simplify]: Extracting #1: cost 6 inf + 0 165.374 * * [simplify]: Extracting #2: cost 9 inf + 1 165.375 * * [simplify]: Extracting #3: cost 38 inf + 1 165.375 * * [simplify]: Extracting #4: cost 115 inf + 2 165.377 * * [simplify]: Extracting #5: cost 162 inf + 218 165.378 * * [simplify]: Extracting #6: cost 166 inf + 559 165.382 * * [simplify]: Extracting #7: cost 108 inf + 8071 165.391 * * [simplify]: Extracting #8: cost 56 inf + 23901 165.401 * * [simplify]: Extracting #9: cost 13 inf + 60149 165.414 * * [simplify]: Extracting #10: cost 0 inf + 70551 165.426 * [simplify]: Simplified to (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 165.426 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ 1 (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 165.426 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 165.426 * * [simplify]: iters left: 6 (14 enodes) 165.430 * * [simplify]: iters left: 5 (59 enodes) 165.444 * * [simplify]: iters left: 4 (97 enodes) 165.470 * * [simplify]: iters left: 3 (137 enodes) 165.517 * * [simplify]: iters left: 2 (229 enodes) 165.580 * * [simplify]: iters left: 1 (418 enodes) 165.750 * * [simplify]: Extracting #0: cost 1 inf + 0 165.750 * * [simplify]: Extracting #1: cost 7 inf + 0 165.750 * * [simplify]: Extracting #2: cost 12 inf + 1 165.750 * * [simplify]: Extracting #3: cost 37 inf + 2 165.751 * * [simplify]: Extracting #4: cost 113 inf + 167 165.752 * * [simplify]: Extracting #5: cost 171 inf + 465 165.756 * * [simplify]: Extracting #6: cost 111 inf + 10870 165.769 * * [simplify]: Extracting #7: cost 26 inf + 46041 165.788 * * [simplify]: Extracting #8: cost 1 inf + 66410 165.808 * * [simplify]: Extracting #9: cost 0 inf + 66786 165.818 * [simplify]: Simplified to (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt k)) 165.818 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt k)))) 165.819 * * * * [progress]: [ 255 / 315 ] simplifiying candidate # 165.819 * [simplify]: Simplifying (/ 1 (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 165.819 * * [simplify]: iters left: 6 (13 enodes) 165.823 * * [simplify]: iters left: 5 (54 enodes) 165.833 * * [simplify]: iters left: 4 (89 enodes) 165.850 * * [simplify]: iters left: 3 (134 enodes) 165.876 * * [simplify]: iters left: 2 (217 enodes) 165.935 * * [simplify]: iters left: 1 (399 enodes) 166.079 * * [simplify]: Extracting #0: cost 1 inf + 0 166.079 * * [simplify]: Extracting #1: cost 6 inf + 0 166.079 * * [simplify]: Extracting #2: cost 37 inf + 1 166.080 * * [simplify]: Extracting #3: cost 121 inf + 2 166.081 * * [simplify]: Extracting #4: cost 170 inf + 177 166.082 * * [simplify]: Extracting #5: cost 165 inf + 602 166.084 * * [simplify]: Extracting #6: cost 98 inf + 11497 166.091 * * [simplify]: Extracting #7: cost 19 inf + 51385 166.100 * * [simplify]: Extracting #8: cost 0 inf + 65044 166.113 * [simplify]: Simplified to (sqrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))) 166.113 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (/ 1 (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 166.113 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 166.114 * * [simplify]: iters left: 6 (14 enodes) 166.118 * * [simplify]: iters left: 5 (59 enodes) 166.129 * * [simplify]: iters left: 4 (98 enodes) 166.146 * * [simplify]: iters left: 3 (138 enodes) 166.173 * * [simplify]: iters left: 2 (231 enodes) 166.228 * * [simplify]: iters left: 1 (408 enodes) 166.424 * * [simplify]: Extracting #0: cost 1 inf + 0 166.424 * * [simplify]: Extracting #1: cost 7 inf + 0 166.424 * * [simplify]: Extracting #2: cost 13 inf + 1 166.424 * * [simplify]: Extracting #3: cost 38 inf + 2 166.425 * * [simplify]: Extracting #4: cost 123 inf + 167 166.427 * * [simplify]: Extracting #5: cost 167 inf + 590 166.431 * * [simplify]: Extracting #6: cost 103 inf + 11234 166.440 * * [simplify]: Extracting #7: cost 53 inf + 21420 166.457 * * [simplify]: Extracting #8: cost 6 inf + 60416 166.478 * * [simplify]: Extracting #9: cost 0 inf + 65147 166.500 * * [simplify]: Extracting #10: cost 0 inf + 63194 166.523 * [simplify]: Simplified to (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 166.523 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)))) 166.523 * * * * [progress]: [ 256 / 315 ] simplifiying candidate # 166.523 * [simplify]: Simplifying (/ 1 (/ 1 1)) 166.523 * * [simplify]: iters left: 4 (3 enodes) 166.526 * * [simplify]: iters left: 3 (7 enodes) 166.528 * * [simplify]: iters left: 2 (9 enodes) 166.531 * * [simplify]: Extracting #0: cost 1 inf + 0 166.531 * * [simplify]: Extracting #1: cost 0 inf + 1 166.531 * [simplify]: Simplified to 1 166.531 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 166.531 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 166.531 * * [simplify]: iters left: 6 (13 enodes) 166.538 * * [simplify]: iters left: 5 (56 enodes) 166.561 * * [simplify]: iters left: 4 (98 enodes) 166.594 * * [simplify]: iters left: 3 (155 enodes) 166.654 * * [simplify]: iters left: 2 (307 enodes) 166.762 * * [simplify]: Extracting #0: cost 1 inf + 0 166.762 * * [simplify]: Extracting #1: cost 49 inf + 0 166.762 * * [simplify]: Extracting #2: cost 126 inf + 1 166.763 * * [simplify]: Extracting #3: cost 171 inf + 127 166.764 * * [simplify]: Extracting #4: cost 159 inf + 1874 166.767 * * [simplify]: Extracting #5: cost 90 inf + 23886 166.784 * * [simplify]: Extracting #6: cost 13 inf + 73261 166.808 * * [simplify]: Extracting #7: cost 0 inf + 80895 166.833 * [simplify]: Simplified to (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 166.833 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))) 166.833 * * * * [progress]: [ 257 / 315 ] simplifiying candidate # 166.833 * [simplify]: Simplifying (/ 1 (/ 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 166.834 * * [simplify]: iters left: 6 (13 enodes) 166.842 * * [simplify]: iters left: 5 (57 enodes) 166.863 * * [simplify]: iters left: 4 (96 enodes) 166.898 * * [simplify]: iters left: 3 (170 enodes) 166.970 * * [simplify]: iters left: 2 (338 enodes) 167.087 * * [simplify]: Extracting #0: cost 1 inf + 0 167.087 * * [simplify]: Extracting #1: cost 34 inf + 0 167.088 * * [simplify]: Extracting #2: cost 123 inf + 2 167.089 * * [simplify]: Extracting #3: cost 173 inf + 301 167.090 * * [simplify]: Extracting #4: cost 164 inf + 1720 167.093 * * [simplify]: Extracting #5: cost 76 inf + 23343 167.102 * * [simplify]: Extracting #6: cost 14 inf + 61342 167.113 * * [simplify]: Extracting #7: cost 2 inf + 69000 167.127 * * [simplify]: Extracting #8: cost 0 inf + 70945 167.137 * [simplify]: Simplified to (pow (* (* 2 n) PI) (/ (- 1 k) 4)) 167.138 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* 2 n) PI) (/ (- 1 k) 4)) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 167.138 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 167.138 * * [simplify]: iters left: 6 (14 enodes) 167.143 * * [simplify]: iters left: 5 (62 enodes) 167.156 * * [simplify]: iters left: 4 (110 enodes) 167.177 * * [simplify]: iters left: 3 (187 enodes) 167.240 * * [simplify]: iters left: 2 (380 enodes) 167.362 * * [simplify]: Extracting #0: cost 1 inf + 0 167.362 * * [simplify]: Extracting #1: cost 50 inf + 0 167.363 * * [simplify]: Extracting #2: cost 131 inf + 1 167.364 * * [simplify]: Extracting #3: cost 187 inf + 127 167.365 * * [simplify]: Extracting #4: cost 179 inf + 2499 167.371 * * [simplify]: Extracting #5: cost 84 inf + 37105 167.400 * * [simplify]: Extracting #6: cost 7 inf + 77270 167.425 * * [simplify]: Extracting #7: cost 0 inf + 79381 167.443 * * [simplify]: Extracting #8: cost 0 inf + 79041 167.461 * [simplify]: Simplified to (/ (pow (* n (* 2 PI)) (/ (- 1 k) 4)) (sqrt k)) 167.461 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 4)) (sqrt k)))) 167.461 * * * * [progress]: [ 258 / 315 ] simplifiying candidate # 167.461 * [simplify]: Simplifying (/ 1 1) 167.461 * * [simplify]: iters left: 2 (2 enodes) 167.463 * * [simplify]: iters left: 1 (6 enodes) 167.464 * * [simplify]: Extracting #0: cost 1 inf + 0 167.464 * * [simplify]: Extracting #1: cost 0 inf + 1 167.464 * [simplify]: Simplified to 1 167.464 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 167.464 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 167.464 * * [simplify]: iters left: 6 (13 enodes) 167.469 * * [simplify]: iters left: 5 (56 enodes) 167.481 * * [simplify]: iters left: 4 (98 enodes) 167.498 * * [simplify]: iters left: 3 (155 enodes) 167.540 * * [simplify]: iters left: 2 (307 enodes) 167.632 * * [simplify]: Extracting #0: cost 1 inf + 0 167.632 * * [simplify]: Extracting #1: cost 49 inf + 0 167.632 * * [simplify]: Extracting #2: cost 126 inf + 1 167.633 * * [simplify]: Extracting #3: cost 171 inf + 127 167.634 * * [simplify]: Extracting #4: cost 159 inf + 1874 167.637 * * [simplify]: Extracting #5: cost 90 inf + 23886 167.657 * * [simplify]: Extracting #6: cost 13 inf + 73261 167.681 * * [simplify]: Extracting #7: cost 0 inf + 80895 167.698 * [simplify]: Simplified to (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 167.698 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))) 167.698 * * * * [progress]: [ 259 / 315 ] simplifiying candidate # 167.699 * [simplify]: Simplifying (/ 1 (sqrt k)) 167.699 * * [simplify]: iters left: 3 (4 enodes) 167.704 * * [simplify]: iters left: 2 (14 enodes) 167.706 * * [simplify]: iters left: 1 (16 enodes) 167.709 * * [simplify]: Extracting #0: cost 1 inf + 0 167.709 * * [simplify]: Extracting #1: cost 4 inf + 0 167.709 * * [simplify]: Extracting #2: cost 5 inf + 1 167.709 * * [simplify]: Extracting #3: cost 3 inf + 43 167.709 * * [simplify]: Extracting #4: cost 1 inf + 166 167.709 * * [simplify]: Extracting #5: cost 0 inf + 248 167.709 * [simplify]: Simplified to (/ 1 (sqrt k)) 167.710 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ 1 (/ 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 167.710 * [simplify]: Simplifying (/ 1 (/ 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 167.710 * * [simplify]: iters left: 6 (12 enodes) 167.714 * * [simplify]: iters left: 5 (51 enodes) 167.729 * * [simplify]: iters left: 4 (87 enodes) 167.759 * * [simplify]: iters left: 3 (149 enodes) 167.796 * * [simplify]: iters left: 2 (278 enodes) 167.938 * * [simplify]: Extracting #0: cost 1 inf + 0 167.938 * * [simplify]: Extracting #1: cost 34 inf + 0 167.939 * * [simplify]: Extracting #2: cost 114 inf + 2 167.940 * * [simplify]: Extracting #3: cost 156 inf + 174 167.945 * * [simplify]: Extracting #4: cost 142 inf + 1804 167.949 * * [simplify]: Extracting #5: cost 89 inf + 13609 167.961 * * [simplify]: Extracting #6: cost 40 inf + 35162 167.978 * * [simplify]: Extracting #7: cost 3 inf + 61933 167.998 * * [simplify]: Extracting #8: cost 0 inf + 64474 168.009 * [simplify]: Simplified to (pow (* (* 2 n) PI) (/ (- 1 k) 2)) 168.009 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 n) PI) (/ (- 1 k) 2)))) 168.009 * * * * [progress]: [ 260 / 315 ] simplifiying candidate # 168.010 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ 1 2)))) 168.010 * * [simplify]: iters left: 6 (12 enodes) 168.014 * * [simplify]: iters left: 5 (48 enodes) 168.025 * * [simplify]: iters left: 4 (83 enodes) 168.059 * * [simplify]: iters left: 3 (143 enodes) 168.115 * * [simplify]: iters left: 2 (290 enodes) 168.244 * * [simplify]: Extracting #0: cost 1 inf + 0 168.244 * * [simplify]: Extracting #1: cost 38 inf + 0 168.244 * * [simplify]: Extracting #2: cost 104 inf + 1 168.245 * * [simplify]: Extracting #3: cost 103 inf + 255 168.246 * * [simplify]: Extracting #4: cost 98 inf + 508 168.248 * * [simplify]: Extracting #5: cost 72 inf + 8366 168.257 * * [simplify]: Extracting #6: cost 8 inf + 45634 168.275 * * [simplify]: Extracting #7: cost 0 inf + 51156 168.287 * [simplify]: Simplified to (/ (sqrt (* n (* 2 PI))) (sqrt k)) 168.287 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n (* 2 PI))) (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (/ k 2))))) 168.287 * [simplify]: Simplifying (/ 1 (pow (* n (* 2 PI)) (/ k 2))) 168.287 * * [simplify]: iters left: 6 (10 enodes) 168.293 * * [simplify]: iters left: 5 (39 enodes) 168.306 * * [simplify]: iters left: 4 (63 enodes) 168.326 * * [simplify]: iters left: 3 (98 enodes) 168.359 * * [simplify]: iters left: 2 (168 enodes) 168.424 * * [simplify]: iters left: 1 (314 enodes) 168.569 * * [simplify]: Extracting #0: cost 1 inf + 0 168.569 * * [simplify]: Extracting #1: cost 6 inf + 0 168.570 * * [simplify]: Extracting #2: cost 39 inf + 1 168.570 * * [simplify]: Extracting #3: cost 126 inf + 2 168.572 * * [simplify]: Extracting #4: cost 145 inf + 384 168.574 * * [simplify]: Extracting #5: cost 100 inf + 5000 168.583 * * [simplify]: Extracting #6: cost 38 inf + 40022 168.601 * * [simplify]: Extracting #7: cost 1 inf + 67924 168.618 * * [simplify]: Extracting #8: cost 0 inf + 67936 168.626 * * [simplify]: Extracting #9: cost 0 inf + 67766 168.638 * [simplify]: Simplified to (/ 1 (pow (* n (* 2 PI)) (* 1/2 k))) 168.638 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n (* 2 PI))) (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (* 1/2 k))))) 168.638 * * * * [progress]: [ 261 / 315 ] simplifiying candidate # 168.638 * * * * [progress]: [ 262 / 315 ] simplifiying candidate # 168.638 * * * * [progress]: [ 263 / 315 ] simplifiying candidate # 168.638 * * * * [progress]: [ 264 / 315 ] simplifiying candidate # 168.638 * [simplify]: Simplifying (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 168.638 * * [simplify]: iters left: 6 (13 enodes) 168.642 * * [simplify]: iters left: 5 (54 enodes) 168.655 * * [simplify]: iters left: 4 (89 enodes) 168.685 * * [simplify]: iters left: 3 (135 enodes) 168.727 * * [simplify]: iters left: 2 (222 enodes) 168.795 * * [simplify]: iters left: 1 (417 enodes) 169.017 * * [simplify]: Extracting #0: cost 1 inf + 0 169.017 * * [simplify]: Extracting #1: cost 3 inf + 0 169.017 * * [simplify]: Extracting #2: cost 8 inf + 0 169.017 * * [simplify]: Extracting #3: cost 43 inf + 0 169.018 * * [simplify]: Extracting #4: cost 140 inf + 43 169.019 * * [simplify]: Extracting #5: cost 190 inf + 427 169.025 * * [simplify]: Extracting #6: cost 121 inf + 19667 169.044 * * [simplify]: Extracting #7: cost 14 inf + 69773 169.068 * * [simplify]: Extracting #8: cost 0 inf + 77850 169.092 * * [simplify]: Extracting #9: cost 0 inf + 77770 169.114 * [simplify]: Simplified to (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 169.114 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 169.114 * * * * [progress]: [ 265 / 315 ] simplifiying candidate # 169.115 * [simplify]: Simplifying (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 169.115 * * [simplify]: iters left: 6 (13 enodes) 169.126 * * [simplify]: iters left: 5 (54 enodes) 169.137 * * [simplify]: iters left: 4 (89 enodes) 169.153 * * [simplify]: iters left: 3 (135 enodes) 169.183 * * [simplify]: iters left: 2 (222 enodes) 169.237 * * [simplify]: iters left: 1 (417 enodes) 169.430 * * [simplify]: Extracting #0: cost 1 inf + 0 169.430 * * [simplify]: Extracting #1: cost 3 inf + 0 169.430 * * [simplify]: Extracting #2: cost 8 inf + 0 169.431 * * [simplify]: Extracting #3: cost 43 inf + 0 169.431 * * [simplify]: Extracting #4: cost 140 inf + 43 169.433 * * [simplify]: Extracting #5: cost 190 inf + 427 169.439 * * [simplify]: Extracting #6: cost 121 inf + 19667 169.457 * * [simplify]: Extracting #7: cost 14 inf + 69733 169.474 * * [simplify]: Extracting #8: cost 0 inf + 77770 169.494 * * [simplify]: Extracting #9: cost 0 inf + 77690 169.514 * [simplify]: Simplified to (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 169.514 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 169.514 * * * * [progress]: [ 266 / 315 ] simplifiying candidate # 169.514 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) 169.515 * * [simplify]: iters left: 6 (11 enodes) 169.520 * * [simplify]: iters left: 5 (45 enodes) 169.537 * * [simplify]: iters left: 4 (68 enodes) 169.558 * * [simplify]: iters left: 3 (110 enodes) 169.596 * * [simplify]: iters left: 2 (217 enodes) 169.671 * * [simplify]: iters left: 1 (411 enodes) 169.873 * * [simplify]: Extracting #0: cost 1 inf + 0 169.873 * * [simplify]: Extracting #1: cost 6 inf + 0 169.873 * * [simplify]: Extracting #2: cost 44 inf + 0 169.874 * * [simplify]: Extracting #3: cost 139 inf + 1 169.875 * * [simplify]: Extracting #4: cost 197 inf + 501 169.880 * * [simplify]: Extracting #5: cost 139 inf + 13850 169.896 * * [simplify]: Extracting #6: cost 13 inf + 69901 169.907 * * [simplify]: Extracting #7: cost 0 inf + 77133 169.924 * * [simplify]: Extracting #8: cost 0 inf + 77132 169.946 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))) 169.946 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2)))) (/ (cbrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))))) 169.947 * * * * [progress]: [ 267 / 315 ] simplifiying candidate # 169.947 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 169.947 * * [simplify]: iters left: 6 (14 enodes) 169.952 * * [simplify]: iters left: 5 (57 enodes) 169.962 * * [simplify]: iters left: 4 (90 enodes) 169.977 * * [simplify]: iters left: 3 (128 enodes) 170.017 * * [simplify]: iters left: 2 (208 enodes) 170.069 * * [simplify]: iters left: 1 (391 enodes) 170.219 * * [simplify]: Extracting #0: cost 1 inf + 0 170.219 * * [simplify]: Extracting #1: cost 4 inf + 0 170.219 * * [simplify]: Extracting #2: cost 8 inf + 0 170.219 * * [simplify]: Extracting #3: cost 39 inf + 0 170.220 * * [simplify]: Extracting #4: cost 119 inf + 43 170.221 * * [simplify]: Extracting #5: cost 173 inf + 422 170.223 * * [simplify]: Extracting #6: cost 120 inf + 9999 170.228 * * [simplify]: Extracting #7: cost 48 inf + 33554 170.237 * * [simplify]: Extracting #8: cost 5 inf + 65518 170.247 * * [simplify]: Extracting #9: cost 0 inf + 69206 170.270 * * [simplify]: Extracting #10: cost 0 inf + 68784 170.290 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 170.290 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))))) 170.290 * * * * [progress]: [ 268 / 315 ] simplifiying candidate # 170.291 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 170.291 * * [simplify]: iters left: 6 (14 enodes) 170.300 * * [simplify]: iters left: 5 (57 enodes) 170.319 * * [simplify]: iters left: 4 (91 enodes) 170.342 * * [simplify]: iters left: 3 (129 enodes) 170.367 * * [simplify]: iters left: 2 (209 enodes) 170.425 * * [simplify]: iters left: 1 (390 enodes) 170.593 * * [simplify]: Extracting #0: cost 1 inf + 0 170.593 * * [simplify]: Extracting #1: cost 4 inf + 0 170.593 * * [simplify]: Extracting #2: cost 9 inf + 0 170.593 * * [simplify]: Extracting #3: cost 43 inf + 0 170.594 * * [simplify]: Extracting #4: cost 133 inf + 43 170.595 * * [simplify]: Extracting #5: cost 162 inf + 507 170.599 * * [simplify]: Extracting #6: cost 106 inf + 8294 170.606 * * [simplify]: Extracting #7: cost 58 inf + 18708 170.622 * * [simplify]: Extracting #8: cost 12 inf + 55991 170.643 * * [simplify]: Extracting #9: cost 0 inf + 65622 170.655 * * [simplify]: Extracting #10: cost 0 inf + 65122 170.666 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))) 170.666 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))))) 170.666 * * * * [progress]: [ 269 / 315 ] simplifiying candidate # 170.666 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 170.666 * * [simplify]: iters left: 6 (13 enodes) 170.670 * * [simplify]: iters left: 5 (54 enodes) 170.687 * * [simplify]: iters left: 4 (85 enodes) 170.705 * * [simplify]: iters left: 3 (129 enodes) 170.739 * * [simplify]: iters left: 2 (231 enodes) 170.802 * * [simplify]: iters left: 1 (416 enodes) 170.979 * * [simplify]: Extracting #0: cost 1 inf + 0 170.979 * * [simplify]: Extracting #1: cost 6 inf + 0 170.979 * * [simplify]: Extracting #2: cost 45 inf + 0 170.979 * * [simplify]: Extracting #3: cost 142 inf + 1 170.980 * * [simplify]: Extracting #4: cost 182 inf + 627 170.981 * * [simplify]: Extracting #5: cost 151 inf + 3732 170.989 * * [simplify]: Extracting #6: cost 87 inf + 15045 170.998 * * [simplify]: Extracting #7: cost 20 inf + 66391 171.012 * * [simplify]: Extracting #8: cost 0 inf + 81206 171.038 * * [simplify]: Extracting #9: cost 0 inf + 80431 171.063 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))) 171.063 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))))) 171.063 * * * * [progress]: [ 270 / 315 ] simplifiying candidate # 171.063 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 171.063 * * [simplify]: iters left: 6 (14 enodes) 171.068 * * [simplify]: iters left: 5 (60 enodes) 171.079 * * [simplify]: iters left: 4 (98 enodes) 171.101 * * [simplify]: iters left: 3 (157 enodes) 171.144 * * [simplify]: iters left: 2 (285 enodes) 171.231 * * [simplify]: Extracting #0: cost 1 inf + 0 171.231 * * [simplify]: Extracting #1: cost 6 inf + 0 171.231 * * [simplify]: Extracting #2: cost 26 inf + 0 171.232 * * [simplify]: Extracting #3: cost 95 inf + 1 171.233 * * [simplify]: Extracting #4: cost 120 inf + 383 171.235 * * [simplify]: Extracting #5: cost 76 inf + 6022 171.241 * * [simplify]: Extracting #6: cost 27 inf + 18199 171.250 * * [simplify]: Extracting #7: cost 13 inf + 26669 171.260 * * [simplify]: Extracting #8: cost 0 inf + 37231 171.272 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/4 (/ k 4)))) 171.272 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/4 (/ k 4)))))) 171.272 * * * * [progress]: [ 271 / 315 ] simplifiying candidate # 171.272 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) 171.272 * * [simplify]: iters left: 6 (11 enodes) 171.279 * * [simplify]: iters left: 5 (45 enodes) 171.294 * * [simplify]: iters left: 4 (68 enodes) 171.311 * * [simplify]: iters left: 3 (110 enodes) 171.338 * * [simplify]: iters left: 2 (217 enodes) 171.421 * * [simplify]: iters left: 1 (411 enodes) 171.619 * * [simplify]: Extracting #0: cost 1 inf + 0 171.619 * * [simplify]: Extracting #1: cost 6 inf + 0 171.619 * * [simplify]: Extracting #2: cost 44 inf + 0 171.620 * * [simplify]: Extracting #3: cost 139 inf + 1 171.621 * * [simplify]: Extracting #4: cost 197 inf + 581 171.625 * * [simplify]: Extracting #5: cost 139 inf + 13930 171.644 * * [simplify]: Extracting #6: cost 13 inf + 69981 171.663 * * [simplify]: Extracting #7: cost 0 inf + 77213 171.674 * * [simplify]: Extracting #8: cost 0 inf + 77212 171.688 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))) 171.689 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow n (/ (- 1 k) 2)))) (/ (sqrt (cbrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))))) 171.689 * * * * [progress]: [ 272 / 315 ] simplifiying candidate # 171.689 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 171.689 * * [simplify]: iters left: 6 (14 enodes) 171.697 * * [simplify]: iters left: 5 (57 enodes) 171.717 * * [simplify]: iters left: 4 (90 enodes) 171.746 * * [simplify]: iters left: 3 (128 enodes) 171.773 * * [simplify]: iters left: 2 (208 enodes) 171.839 * * [simplify]: iters left: 1 (391 enodes) 172.015 * * [simplify]: Extracting #0: cost 1 inf + 0 172.015 * * [simplify]: Extracting #1: cost 4 inf + 0 172.015 * * [simplify]: Extracting #2: cost 8 inf + 0 172.015 * * [simplify]: Extracting #3: cost 39 inf + 0 172.016 * * [simplify]: Extracting #4: cost 119 inf + 83 172.017 * * [simplify]: Extracting #5: cost 173 inf + 502 172.020 * * [simplify]: Extracting #6: cost 120 inf + 10079 172.029 * * [simplify]: Extracting #7: cost 48 inf + 33634 172.046 * * [simplify]: Extracting #8: cost 5 inf + 65598 172.056 * * [simplify]: Extracting #9: cost 0 inf + 69286 172.066 * * [simplify]: Extracting #10: cost 0 inf + 68864 172.076 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 172.076 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (sqrt (cbrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))))) 172.076 * * * * [progress]: [ 273 / 315 ] simplifiying candidate # 172.076 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 172.076 * * [simplify]: iters left: 6 (14 enodes) 172.080 * * [simplify]: iters left: 5 (57 enodes) 172.091 * * [simplify]: iters left: 4 (91 enodes) 172.109 * * [simplify]: iters left: 3 (129 enodes) 172.132 * * [simplify]: iters left: 2 (209 enodes) 172.207 * * [simplify]: iters left: 1 (390 enodes) 172.376 * * [simplify]: Extracting #0: cost 1 inf + 0 172.377 * * [simplify]: Extracting #1: cost 4 inf + 0 172.377 * * [simplify]: Extracting #2: cost 9 inf + 0 172.377 * * [simplify]: Extracting #3: cost 43 inf + 0 172.377 * * [simplify]: Extracting #4: cost 133 inf + 83 172.379 * * [simplify]: Extracting #5: cost 162 inf + 587 172.382 * * [simplify]: Extracting #6: cost 106 inf + 8374 172.389 * * [simplify]: Extracting #7: cost 58 inf + 18788 172.405 * * [simplify]: Extracting #8: cost 12 inf + 56071 172.425 * * [simplify]: Extracting #9: cost 0 inf + 65702 172.436 * * [simplify]: Extracting #10: cost 0 inf + 65202 172.446 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (sqrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))) 172.446 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (cbrt k)) (sqrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))))) 172.446 * * * * [progress]: [ 274 / 315 ] simplifiying candidate # 172.447 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 172.447 * * [simplify]: iters left: 6 (13 enodes) 172.451 * * [simplify]: iters left: 5 (54 enodes) 172.470 * * [simplify]: iters left: 4 (85 enodes) 172.498 * * [simplify]: iters left: 3 (129 enodes) 172.547 * * [simplify]: iters left: 2 (231 enodes) 172.628 * * [simplify]: iters left: 1 (416 enodes) 172.863 * * [simplify]: Extracting #0: cost 1 inf + 0 172.863 * * [simplify]: Extracting #1: cost 6 inf + 0 172.863 * * [simplify]: Extracting #2: cost 45 inf + 0 172.864 * * [simplify]: Extracting #3: cost 142 inf + 1 172.865 * * [simplify]: Extracting #4: cost 182 inf + 707 172.868 * * [simplify]: Extracting #5: cost 151 inf + 3812 172.874 * * [simplify]: Extracting #6: cost 87 inf + 15125 172.890 * * [simplify]: Extracting #7: cost 20 inf + 66471 172.910 * * [simplify]: Extracting #8: cost 0 inf + 81286 172.927 * * [simplify]: Extracting #9: cost 0 inf + 80511 172.951 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))) 172.951 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) 1)) (/ (sqrt (cbrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))))) 172.951 * * * * [progress]: [ 275 / 315 ] simplifiying candidate # 172.951 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 172.952 * * [simplify]: iters left: 6 (14 enodes) 172.960 * * [simplify]: iters left: 5 (60 enodes) 172.981 * * [simplify]: iters left: 4 (98 enodes) 173.014 * * [simplify]: iters left: 3 (157 enodes) 173.067 * * [simplify]: iters left: 2 (285 enodes) 173.148 * * [simplify]: Extracting #0: cost 1 inf + 0 173.148 * * [simplify]: Extracting #1: cost 6 inf + 0 173.148 * * [simplify]: Extracting #2: cost 26 inf + 0 173.149 * * [simplify]: Extracting #3: cost 95 inf + 1 173.149 * * [simplify]: Extracting #4: cost 120 inf + 423 173.152 * * [simplify]: Extracting #5: cost 76 inf + 6102 173.158 * * [simplify]: Extracting #6: cost 27 inf + 18279 173.167 * * [simplify]: Extracting #7: cost 13 inf + 26749 173.178 * * [simplify]: Extracting #8: cost 0 inf + 37311 173.191 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (- 1/4 (/ k 4)))) 173.192 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (- 1/4 (/ k 4)))))) 173.192 * * * * [progress]: [ 276 / 315 ] simplifiying candidate # 173.192 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) 173.192 * * [simplify]: iters left: 6 (11 enodes) 173.199 * * [simplify]: iters left: 5 (45 enodes) 173.215 * * [simplify]: iters left: 4 (68 enodes) 173.239 * * [simplify]: iters left: 3 (110 enodes) 173.284 * * [simplify]: iters left: 2 (217 enodes) 173.366 * * [simplify]: iters left: 1 (411 enodes) 173.520 * * [simplify]: Extracting #0: cost 1 inf + 0 173.520 * * [simplify]: Extracting #1: cost 6 inf + 0 173.520 * * [simplify]: Extracting #2: cost 44 inf + 0 173.521 * * [simplify]: Extracting #3: cost 139 inf + 1 173.521 * * [simplify]: Extracting #4: cost 197 inf + 421 173.523 * * [simplify]: Extracting #5: cost 139 inf + 13650 173.533 * * [simplify]: Extracting #6: cost 13 inf + 69021 173.552 * * [simplify]: Extracting #7: cost 0 inf + 76213 173.563 * * [simplify]: Extracting #8: cost 0 inf + 76212 173.574 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))) 173.574 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))))) 173.574 * * * * [progress]: [ 277 / 315 ] simplifiying candidate # 173.574 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 173.574 * * [simplify]: iters left: 6 (14 enodes) 173.579 * * [simplify]: iters left: 5 (57 enodes) 173.595 * * [simplify]: iters left: 4 (90 enodes) 173.613 * * [simplify]: iters left: 3 (128 enodes) 173.647 * * [simplify]: iters left: 2 (208 enodes) 173.700 * * [simplify]: iters left: 1 (391 enodes) 173.870 * * [simplify]: Extracting #0: cost 1 inf + 0 173.870 * * [simplify]: Extracting #1: cost 4 inf + 0 173.870 * * [simplify]: Extracting #2: cost 8 inf + 0 173.870 * * [simplify]: Extracting #3: cost 39 inf + 0 173.871 * * [simplify]: Extracting #4: cost 119 inf + 43 173.872 * * [simplify]: Extracting #5: cost 173 inf + 382 173.876 * * [simplify]: Extracting #6: cost 120 inf + 9839 173.886 * * [simplify]: Extracting #7: cost 48 inf + 33394 173.904 * * [simplify]: Extracting #8: cost 5 inf + 65358 173.928 * * [simplify]: Extracting #9: cost 0 inf + 69046 173.948 * * [simplify]: Extracting #10: cost 0 inf + 68624 173.968 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 173.968 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))))) 173.968 * * * * [progress]: [ 278 / 315 ] simplifiying candidate # 173.968 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 173.968 * * [simplify]: iters left: 6 (14 enodes) 173.977 * * [simplify]: iters left: 5 (57 enodes) 173.997 * * [simplify]: iters left: 4 (91 enodes) 174.026 * * [simplify]: iters left: 3 (129 enodes) 174.063 * * [simplify]: iters left: 2 (209 enodes) 174.120 * * [simplify]: iters left: 1 (390 enodes) 174.264 * * [simplify]: Extracting #0: cost 1 inf + 0 174.265 * * [simplify]: Extracting #1: cost 4 inf + 0 174.265 * * [simplify]: Extracting #2: cost 9 inf + 0 174.265 * * [simplify]: Extracting #3: cost 43 inf + 0 174.266 * * [simplify]: Extracting #4: cost 133 inf + 43 174.267 * * [simplify]: Extracting #5: cost 162 inf + 467 174.270 * * [simplify]: Extracting #6: cost 106 inf + 8214 174.275 * * [simplify]: Extracting #7: cost 58 inf + 18548 174.284 * * [simplify]: Extracting #8: cost 12 inf + 55831 174.294 * * [simplify]: Extracting #9: cost 0 inf + 65462 174.309 * * [simplify]: Extracting #10: cost 0 inf + 64962 174.330 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))) 174.330 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))))) 174.330 * * * * [progress]: [ 279 / 315 ] simplifiying candidate # 174.331 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 174.331 * * [simplify]: iters left: 6 (13 enodes) 174.339 * * [simplify]: iters left: 5 (54 enodes) 174.361 * * [simplify]: iters left: 4 (85 enodes) 174.376 * * [simplify]: iters left: 3 (129 enodes) 174.407 * * [simplify]: iters left: 2 (231 enodes) 174.467 * * [simplify]: iters left: 1 (416 enodes) 174.618 * * [simplify]: Extracting #0: cost 1 inf + 0 174.618 * * [simplify]: Extracting #1: cost 6 inf + 0 174.618 * * [simplify]: Extracting #2: cost 45 inf + 0 174.619 * * [simplify]: Extracting #3: cost 142 inf + 1 174.621 * * [simplify]: Extracting #4: cost 182 inf + 547 174.623 * * [simplify]: Extracting #5: cost 151 inf + 3652 174.629 * * [simplify]: Extracting #6: cost 87 inf + 14805 174.645 * * [simplify]: Extracting #7: cost 20 inf + 65591 174.670 * * [simplify]: Extracting #8: cost 0 inf + 80286 174.697 * * [simplify]: Extracting #9: cost 0 inf + 79511 174.724 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))) 174.724 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))))) 174.724 * * * * [progress]: [ 280 / 315 ] simplifiying candidate # 174.725 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 174.725 * * [simplify]: iters left: 6 (14 enodes) 174.733 * * [simplify]: iters left: 5 (60 enodes) 174.749 * * [simplify]: iters left: 4 (98 enodes) 174.770 * * [simplify]: iters left: 3 (157 enodes) 174.826 * * [simplify]: iters left: 2 (285 enodes) 174.913 * * [simplify]: Extracting #0: cost 1 inf + 0 174.913 * * [simplify]: Extracting #1: cost 6 inf + 0 174.913 * * [simplify]: Extracting #2: cost 26 inf + 0 174.914 * * [simplify]: Extracting #3: cost 95 inf + 1 174.914 * * [simplify]: Extracting #4: cost 120 inf + 343 174.916 * * [simplify]: Extracting #5: cost 76 inf + 5942 174.919 * * [simplify]: Extracting #6: cost 27 inf + 17799 174.923 * * [simplify]: Extracting #7: cost 13 inf + 26109 174.929 * * [simplify]: Extracting #8: cost 0 inf + 36631 174.935 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/4 (/ k 4)))) 174.935 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/4 (/ k 4)))))) 174.935 * * * * [progress]: [ 281 / 315 ] simplifiying candidate # 174.936 * [simplify]: Simplifying (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))) 174.936 * * [simplify]: iters left: 6 (10 enodes) 174.939 * * [simplify]: iters left: 5 (42 enodes) 174.947 * * [simplify]: iters left: 4 (65 enodes) 174.959 * * [simplify]: iters left: 3 (104 enodes) 174.997 * * [simplify]: iters left: 2 (206 enodes) 175.046 * * [simplify]: iters left: 1 (399 enodes) 175.218 * * [simplify]: Extracting #0: cost 1 inf + 0 175.218 * * [simplify]: Extracting #1: cost 6 inf + 0 175.219 * * [simplify]: Extracting #2: cost 45 inf + 0 175.220 * * [simplify]: Extracting #3: cost 135 inf + 84 175.222 * * [simplify]: Extracting #4: cost 184 inf + 1422 175.226 * * [simplify]: Extracting #5: cost 131 inf + 10060 175.239 * * [simplify]: Extracting #6: cost 42 inf + 47603 175.255 * * [simplify]: Extracting #7: cost 0 inf + 78607 175.266 * * [simplify]: Extracting #8: cost 0 inf + 76794 175.280 * * [simplify]: Extracting #9: cost 0 inf + 76381 175.291 * [simplify]: Simplified to (/ (sqrt k) (pow (* 2 PI) (* 1/2 (- 1 k)))) 175.291 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt 1) (pow n (/ (- 1 k) 2)))) (/ (sqrt k) (pow (* 2 PI) (* 1/2 (- 1 k)))))) 175.291 * * * * [progress]: [ 282 / 315 ] simplifiying candidate # 175.291 * [simplify]: Simplifying (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 175.291 * * [simplify]: iters left: 6 (13 enodes) 175.295 * * [simplify]: iters left: 5 (54 enodes) 175.310 * * [simplify]: iters left: 4 (87 enodes) 175.326 * * [simplify]: iters left: 3 (129 enodes) 175.351 * * [simplify]: iters left: 2 (210 enodes) 175.433 * * [simplify]: iters left: 1 (393 enodes) 175.627 * * [simplify]: Extracting #0: cost 1 inf + 0 175.627 * * [simplify]: Extracting #1: cost 4 inf + 0 175.627 * * [simplify]: Extracting #2: cost 8 inf + 0 175.628 * * [simplify]: Extracting #3: cost 33 inf + 1 175.628 * * [simplify]: Extracting #4: cost 113 inf + 43 175.628 * * [simplify]: Extracting #5: cost 161 inf + 301 175.630 * * [simplify]: Extracting #6: cost 120 inf + 6257 175.634 * * [simplify]: Extracting #7: cost 56 inf + 23489 175.643 * * [simplify]: Extracting #8: cost 6 inf + 58636 175.654 * * [simplify]: Extracting #9: cost 0 inf + 63414 175.672 * * [simplify]: Extracting #10: cost 0 inf + 62992 175.682 * [simplify]: Simplified to (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 175.682 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 175.682 * * * * [progress]: [ 283 / 315 ] simplifiying candidate # 175.682 * [simplify]: Simplifying (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 175.682 * * [simplify]: iters left: 6 (13 enodes) 175.686 * * [simplify]: iters left: 5 (54 enodes) 175.699 * * [simplify]: iters left: 4 (88 enodes) 175.724 * * [simplify]: iters left: 3 (126 enodes) 175.758 * * [simplify]: iters left: 2 (206 enodes) 175.826 * * [simplify]: iters left: 1 (396 enodes) 175.991 * * [simplify]: Extracting #0: cost 1 inf + 0 175.991 * * [simplify]: Extracting #1: cost 4 inf + 0 175.991 * * [simplify]: Extracting #2: cost 9 inf + 0 175.991 * * [simplify]: Extracting #3: cost 39 inf + 1 175.991 * * [simplify]: Extracting #4: cost 129 inf + 43 175.992 * * [simplify]: Extracting #5: cost 157 inf + 592 175.994 * * [simplify]: Extracting #6: cost 110 inf + 7303 176.002 * * [simplify]: Extracting #7: cost 40 inf + 34465 176.012 * * [simplify]: Extracting #8: cost 0 inf + 66559 176.027 * * [simplify]: Extracting #9: cost 0 inf + 65126 176.048 * * [simplify]: Extracting #10: cost 0 inf + 64360 176.068 * [simplify]: Simplified to (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 176.068 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 176.068 * * * * [progress]: [ 284 / 315 ] simplifiying candidate # 176.069 * [simplify]: Simplifying (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 176.069 * * [simplify]: iters left: 6 (12 enodes) 176.076 * * [simplify]: iters left: 5 (51 enodes) 176.094 * * [simplify]: iters left: 4 (86 enodes) 176.117 * * [simplify]: iters left: 3 (133 enodes) 176.145 * * [simplify]: iters left: 2 (224 enodes) 176.229 * * [simplify]: iters left: 1 (420 enodes) 176.430 * * [simplify]: Extracting #0: cost 1 inf + 0 176.430 * * [simplify]: Extracting #1: cost 6 inf + 0 176.431 * * [simplify]: Extracting #2: cost 43 inf + 0 176.431 * * [simplify]: Extracting #3: cost 142 inf + 43 176.433 * * [simplify]: Extracting #4: cost 185 inf + 344 176.436 * * [simplify]: Extracting #5: cost 146 inf + 4684 176.449 * * [simplify]: Extracting #6: cost 63 inf + 32826 176.470 * * [simplify]: Extracting #7: cost 5 inf + 77530 176.489 * * [simplify]: Extracting #8: cost 0 inf + 81482 176.501 * * [simplify]: Extracting #9: cost 0 inf + 81059 176.513 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 176.513 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt 1) 1)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 176.513 * * * * [progress]: [ 285 / 315 ] simplifiying candidate # 176.513 * [simplify]: Simplifying (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 176.514 * * [simplify]: iters left: 6 (13 enodes) 176.518 * * [simplify]: iters left: 5 (57 enodes) 176.530 * * [simplify]: iters left: 4 (95 enodes) 176.563 * * [simplify]: iters left: 3 (150 enodes) 176.595 * * [simplify]: iters left: 2 (262 enodes) 176.675 * * [simplify]: iters left: 1 (476 enodes) 176.913 * * [simplify]: Extracting #0: cost 1 inf + 0 176.913 * * [simplify]: Extracting #1: cost 6 inf + 0 176.913 * * [simplify]: Extracting #2: cost 41 inf + 0 176.914 * * [simplify]: Extracting #3: cost 143 inf + 84 176.916 * * [simplify]: Extracting #4: cost 201 inf + 677 176.921 * * [simplify]: Extracting #5: cost 129 inf + 15525 176.945 * * [simplify]: Extracting #6: cost 10 inf + 69324 176.962 * * [simplify]: Extracting #7: cost 0 inf + 72261 176.980 * * [simplify]: Extracting #8: cost 0 inf + 72171 177.015 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 4))) 177.016 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 4))))) 177.016 * * * * [progress]: [ 286 / 315 ] simplifiying candidate # 177.016 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) 177.016 * * [simplify]: iters left: 6 (11 enodes) 177.027 * * [simplify]: iters left: 5 (45 enodes) 177.042 * * [simplify]: iters left: 4 (68 enodes) 177.065 * * [simplify]: iters left: 3 (110 enodes) 177.106 * * [simplify]: iters left: 2 (217 enodes) 177.166 * * [simplify]: iters left: 1 (411 enodes) 177.315 * * [simplify]: Extracting #0: cost 1 inf + 0 177.315 * * [simplify]: Extracting #1: cost 6 inf + 0 177.315 * * [simplify]: Extracting #2: cost 44 inf + 0 177.316 * * [simplify]: Extracting #3: cost 139 inf + 1 177.320 * * [simplify]: Extracting #4: cost 197 inf + 421 177.323 * * [simplify]: Extracting #5: cost 139 inf + 13650 177.341 * * [simplify]: Extracting #6: cost 13 inf + 69021 177.362 * * [simplify]: Extracting #7: cost 0 inf + 76213 177.384 * * [simplify]: Extracting #8: cost 0 inf + 76212 177.406 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))) 177.406 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))))) 177.406 * * * * [progress]: [ 287 / 315 ] simplifiying candidate # 177.407 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 177.407 * * [simplify]: iters left: 6 (14 enodes) 177.414 * * [simplify]: iters left: 5 (57 enodes) 177.428 * * [simplify]: iters left: 4 (90 enodes) 177.443 * * [simplify]: iters left: 3 (128 enodes) 177.484 * * [simplify]: iters left: 2 (208 enodes) 177.543 * * [simplify]: iters left: 1 (391 enodes) 177.710 * * [simplify]: Extracting #0: cost 1 inf + 0 177.710 * * [simplify]: Extracting #1: cost 4 inf + 0 177.710 * * [simplify]: Extracting #2: cost 8 inf + 0 177.711 * * [simplify]: Extracting #3: cost 39 inf + 0 177.711 * * [simplify]: Extracting #4: cost 119 inf + 43 177.712 * * [simplify]: Extracting #5: cost 173 inf + 382 177.716 * * [simplify]: Extracting #6: cost 120 inf + 9839 177.726 * * [simplify]: Extracting #7: cost 48 inf + 33394 177.737 * * [simplify]: Extracting #8: cost 5 inf + 65358 177.750 * * [simplify]: Extracting #9: cost 0 inf + 69046 177.770 * * [simplify]: Extracting #10: cost 0 inf + 68624 177.789 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 177.789 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))))) 177.790 * * * * [progress]: [ 288 / 315 ] simplifiying candidate # 177.790 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 177.790 * * [simplify]: iters left: 6 (14 enodes) 177.798 * * [simplify]: iters left: 5 (57 enodes) 177.808 * * [simplify]: iters left: 4 (91 enodes) 177.823 * * [simplify]: iters left: 3 (129 enodes) 177.854 * * [simplify]: iters left: 2 (209 enodes) 177.928 * * [simplify]: iters left: 1 (390 enodes) 178.466 * * [simplify]: Extracting #0: cost 1 inf + 0 178.466 * * [simplify]: Extracting #1: cost 4 inf + 0 178.466 * * [simplify]: Extracting #2: cost 9 inf + 0 178.466 * * [simplify]: Extracting #3: cost 43 inf + 0 178.467 * * [simplify]: Extracting #4: cost 133 inf + 43 178.467 * * [simplify]: Extracting #5: cost 162 inf + 467 178.469 * * [simplify]: Extracting #6: cost 106 inf + 8214 178.473 * * [simplify]: Extracting #7: cost 58 inf + 18548 178.485 * * [simplify]: Extracting #8: cost 12 inf + 55831 178.506 * * [simplify]: Extracting #9: cost 0 inf + 65462 178.528 * * [simplify]: Extracting #10: cost 0 inf + 64962 178.550 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))) 178.550 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))))) 178.550 * * * * [progress]: [ 289 / 315 ] simplifiying candidate # 178.550 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 178.550 * * [simplify]: iters left: 6 (13 enodes) 178.558 * * [simplify]: iters left: 5 (54 enodes) 178.576 * * [simplify]: iters left: 4 (85 enodes) 178.591 * * [simplify]: iters left: 3 (129 enodes) 178.624 * * [simplify]: iters left: 2 (231 enodes) 178.683 * * [simplify]: iters left: 1 (416 enodes) 178.826 * * [simplify]: Extracting #0: cost 1 inf + 0 178.826 * * [simplify]: Extracting #1: cost 6 inf + 0 178.826 * * [simplify]: Extracting #2: cost 45 inf + 0 178.829 * * [simplify]: Extracting #3: cost 142 inf + 1 178.830 * * [simplify]: Extracting #4: cost 182 inf + 547 178.831 * * [simplify]: Extracting #5: cost 151 inf + 3652 178.834 * * [simplify]: Extracting #6: cost 87 inf + 14805 178.842 * * [simplify]: Extracting #7: cost 20 inf + 65591 178.858 * * [simplify]: Extracting #8: cost 0 inf + 80286 178.871 * * [simplify]: Extracting #9: cost 0 inf + 79511 178.885 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))) 178.885 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))))) 178.885 * * * * [progress]: [ 290 / 315 ] simplifiying candidate # 178.886 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 178.886 * * [simplify]: iters left: 6 (14 enodes) 178.894 * * [simplify]: iters left: 5 (60 enodes) 178.914 * * [simplify]: iters left: 4 (98 enodes) 178.950 * * [simplify]: iters left: 3 (157 enodes) 179.009 * * [simplify]: iters left: 2 (285 enodes) 179.112 * * [simplify]: Extracting #0: cost 1 inf + 0 179.112 * * [simplify]: Extracting #1: cost 6 inf + 0 179.112 * * [simplify]: Extracting #2: cost 26 inf + 0 179.113 * * [simplify]: Extracting #3: cost 95 inf + 1 179.113 * * [simplify]: Extracting #4: cost 120 inf + 343 179.116 * * [simplify]: Extracting #5: cost 76 inf + 5942 179.122 * * [simplify]: Extracting #6: cost 27 inf + 17799 179.126 * * [simplify]: Extracting #7: cost 13 inf + 26109 179.131 * * [simplify]: Extracting #8: cost 0 inf + 36631 179.136 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/4 (/ k 4)))) 179.137 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/4 (/ k 4)))))) 179.137 * * * * [progress]: [ 291 / 315 ] simplifiying candidate # 179.137 * [simplify]: Simplifying (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))) 179.137 * * [simplify]: iters left: 6 (10 enodes) 179.140 * * [simplify]: iters left: 5 (42 enodes) 179.148 * * [simplify]: iters left: 4 (65 enodes) 179.164 * * [simplify]: iters left: 3 (104 enodes) 179.207 * * [simplify]: iters left: 2 (206 enodes) 179.284 * * [simplify]: iters left: 1 (399 enodes) 179.469 * * [simplify]: Extracting #0: cost 1 inf + 0 179.469 * * [simplify]: Extracting #1: cost 6 inf + 0 179.469 * * [simplify]: Extracting #2: cost 45 inf + 0 179.469 * * [simplify]: Extracting #3: cost 135 inf + 84 179.470 * * [simplify]: Extracting #4: cost 184 inf + 1422 179.472 * * [simplify]: Extracting #5: cost 131 inf + 10060 179.479 * * [simplify]: Extracting #6: cost 42 inf + 47603 179.490 * * [simplify]: Extracting #7: cost 0 inf + 78607 179.510 * * [simplify]: Extracting #8: cost 0 inf + 76794 179.535 * * [simplify]: Extracting #9: cost 0 inf + 76381 179.557 * [simplify]: Simplified to (/ (sqrt k) (pow (* 2 PI) (* 1/2 (- 1 k)))) 179.557 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow n (/ (- 1 k) 2)))) (/ (sqrt k) (pow (* 2 PI) (* 1/2 (- 1 k)))))) 179.557 * * * * [progress]: [ 292 / 315 ] simplifiying candidate # 179.558 * [simplify]: Simplifying (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 179.558 * * [simplify]: iters left: 6 (13 enodes) 179.565 * * [simplify]: iters left: 5 (54 enodes) 179.583 * * [simplify]: iters left: 4 (87 enodes) 179.612 * * [simplify]: iters left: 3 (129 enodes) 179.657 * * [simplify]: iters left: 2 (210 enodes) 179.715 * * [simplify]: iters left: 1 (393 enodes) 179.926 * * [simplify]: Extracting #0: cost 1 inf + 0 179.926 * * [simplify]: Extracting #1: cost 4 inf + 0 179.926 * * [simplify]: Extracting #2: cost 8 inf + 0 179.926 * * [simplify]: Extracting #3: cost 33 inf + 1 179.927 * * [simplify]: Extracting #4: cost 113 inf + 43 179.927 * * [simplify]: Extracting #5: cost 161 inf + 301 179.929 * * [simplify]: Extracting #6: cost 120 inf + 6257 179.933 * * [simplify]: Extracting #7: cost 56 inf + 23489 179.941 * * [simplify]: Extracting #8: cost 6 inf + 58636 179.959 * * [simplify]: Extracting #9: cost 0 inf + 63414 179.976 * * [simplify]: Extracting #10: cost 0 inf + 62992 179.986 * [simplify]: Simplified to (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 179.986 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 179.987 * * * * [progress]: [ 293 / 315 ] simplifiying candidate # 179.987 * [simplify]: Simplifying (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 179.987 * * [simplify]: iters left: 6 (13 enodes) 179.990 * * [simplify]: iters left: 5 (54 enodes) 180.002 * * [simplify]: iters left: 4 (88 enodes) 180.021 * * [simplify]: iters left: 3 (126 enodes) 180.045 * * [simplify]: iters left: 2 (206 enodes) 180.102 * * [simplify]: iters left: 1 (396 enodes) 180.294 * * [simplify]: Extracting #0: cost 1 inf + 0 180.294 * * [simplify]: Extracting #1: cost 4 inf + 0 180.294 * * [simplify]: Extracting #2: cost 9 inf + 0 180.294 * * [simplify]: Extracting #3: cost 39 inf + 1 180.294 * * [simplify]: Extracting #4: cost 129 inf + 43 180.295 * * [simplify]: Extracting #5: cost 157 inf + 592 180.297 * * [simplify]: Extracting #6: cost 110 inf + 7303 180.302 * * [simplify]: Extracting #7: cost 40 inf + 34465 180.315 * * [simplify]: Extracting #8: cost 0 inf + 66559 180.329 * * [simplify]: Extracting #9: cost 0 inf + 65126 180.349 * * [simplify]: Extracting #10: cost 0 inf + 64360 180.359 * [simplify]: Simplified to (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 180.359 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 180.359 * * * * [progress]: [ 294 / 315 ] simplifiying candidate # 180.359 * [simplify]: Simplifying (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 180.359 * * [simplify]: iters left: 6 (12 enodes) 180.363 * * [simplify]: iters left: 5 (51 enodes) 180.372 * * [simplify]: iters left: 4 (86 enodes) 180.393 * * [simplify]: iters left: 3 (133 enodes) 180.429 * * [simplify]: iters left: 2 (224 enodes) 180.479 * * [simplify]: iters left: 1 (420 enodes) 180.677 * * [simplify]: Extracting #0: cost 1 inf + 0 180.678 * * [simplify]: Extracting #1: cost 6 inf + 0 180.678 * * [simplify]: Extracting #2: cost 43 inf + 0 180.678 * * [simplify]: Extracting #3: cost 142 inf + 43 180.679 * * [simplify]: Extracting #4: cost 185 inf + 344 180.680 * * [simplify]: Extracting #5: cost 146 inf + 4684 180.685 * * [simplify]: Extracting #6: cost 63 inf + 32826 180.698 * * [simplify]: Extracting #7: cost 5 inf + 77530 180.714 * * [simplify]: Extracting #8: cost 0 inf + 81482 180.738 * * [simplify]: Extracting #9: cost 0 inf + 81059 180.753 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 180.753 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 1)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 180.753 * * * * [progress]: [ 295 / 315 ] simplifiying candidate # 180.754 * [simplify]: Simplifying (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 180.754 * * [simplify]: iters left: 6 (13 enodes) 180.758 * * [simplify]: iters left: 5 (57 enodes) 180.769 * * [simplify]: iters left: 4 (95 enodes) 180.786 * * [simplify]: iters left: 3 (150 enodes) 180.822 * * [simplify]: iters left: 2 (262 enodes) 180.881 * * [simplify]: iters left: 1 (476 enodes) 181.030 * * [simplify]: Extracting #0: cost 1 inf + 0 181.030 * * [simplify]: Extracting #1: cost 6 inf + 0 181.030 * * [simplify]: Extracting #2: cost 41 inf + 0 181.031 * * [simplify]: Extracting #3: cost 143 inf + 84 181.032 * * [simplify]: Extracting #4: cost 201 inf + 677 181.039 * * [simplify]: Extracting #5: cost 129 inf + 15525 181.055 * * [simplify]: Extracting #6: cost 10 inf + 69324 181.073 * * [simplify]: Extracting #7: cost 0 inf + 72261 181.099 * * [simplify]: Extracting #8: cost 0 inf + 72171 181.129 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 4))) 181.129 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 4))))) 181.129 * * * * [progress]: [ 296 / 315 ] simplifiying candidate # 181.129 * [simplify]: Simplifying (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 181.130 * * [simplify]: iters left: 6 (12 enodes) 181.135 * * [simplify]: iters left: 5 (51 enodes) 181.155 * * [simplify]: iters left: 4 (86 enodes) 181.184 * * [simplify]: iters left: 3 (133 enodes) 181.228 * * [simplify]: iters left: 2 (224 enodes) 181.302 * * [simplify]: iters left: 1 (420 enodes) 181.490 * * [simplify]: Extracting #0: cost 1 inf + 0 181.490 * * [simplify]: Extracting #1: cost 6 inf + 0 181.490 * * [simplify]: Extracting #2: cost 43 inf + 0 181.490 * * [simplify]: Extracting #3: cost 142 inf + 43 181.491 * * [simplify]: Extracting #4: cost 185 inf + 344 181.492 * * [simplify]: Extracting #5: cost 146 inf + 4684 181.497 * * [simplify]: Extracting #6: cost 63 inf + 32826 181.507 * * [simplify]: Extracting #7: cost 5 inf + 77530 181.519 * * [simplify]: Extracting #8: cost 0 inf + 81482 181.536 * * [simplify]: Extracting #9: cost 0 inf + 81059 181.559 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 181.559 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 181.559 * * * * [progress]: [ 297 / 315 ] simplifiying candidate # 181.560 * [simplify]: Simplifying (/ 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 181.560 * * [simplify]: iters left: 6 (11 enodes) 181.569 * * [simplify]: iters left: 5 (48 enodes) 181.585 * * [simplify]: iters left: 4 (79 enodes) 181.600 * * [simplify]: iters left: 3 (126 enodes) 181.631 * * [simplify]: iters left: 2 (233 enodes) 181.685 * * [simplify]: iters left: 1 (428 enodes) 181.905 * * [simplify]: Extracting #0: cost 1 inf + 0 181.906 * * [simplify]: Extracting #1: cost 6 inf + 0 181.906 * * [simplify]: Extracting #2: cost 41 inf + 1 181.906 * * [simplify]: Extracting #3: cost 139 inf + 2 181.908 * * [simplify]: Extracting #4: cost 204 inf + 220 181.910 * * [simplify]: Extracting #5: cost 196 inf + 893 181.917 * * [simplify]: Extracting #6: cost 96 inf + 21841 181.936 * * [simplify]: Extracting #7: cost 20 inf + 65704 181.952 * * [simplify]: Extracting #8: cost 0 inf + 81603 181.966 * * [simplify]: Extracting #9: cost 0 inf + 80562 181.991 * * [simplify]: Extracting #10: cost 0 inf + 79672 182.019 * [simplify]: Simplified to (/ 1 (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))) 182.019 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))))) 182.019 * * * * [progress]: [ 298 / 315 ] simplifiying candidate # 182.019 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ k 2)) 182.019 * * [simplify]: iters left: 5 (8 enodes) 182.021 * * [simplify]: iters left: 4 (31 enodes) 182.027 * * [simplify]: iters left: 3 (51 enodes) 182.036 * * [simplify]: iters left: 2 (85 enodes) 182.051 * * [simplify]: iters left: 1 (152 enodes) 182.088 * * [simplify]: Extracting #0: cost 1 inf + 0 182.088 * * [simplify]: Extracting #1: cost 13 inf + 0 182.088 * * [simplify]: Extracting #2: cost 59 inf + 1 182.088 * * [simplify]: Extracting #3: cost 76 inf + 9 182.089 * * [simplify]: Extracting #4: cost 41 inf + 3303 182.090 * * [simplify]: Extracting #5: cost 16 inf + 10676 182.093 * * [simplify]: Extracting #6: cost 0 inf + 21028 182.096 * * [simplify]: Extracting #7: cost 0 inf + 20456 182.100 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 182.100 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ 1 2)))) (pow (* (* n 2) PI) (/ k 2)))) 182.100 * * * * [progress]: [ 299 / 315 ] simplifiying candidate # 182.100 * [simplify]: Simplifying (* (cbrt 1) (cbrt 1)) 182.100 * * [simplify]: iters left: 3 (3 enodes) 182.106 * * [simplify]: iters left: 2 (11 enodes) 182.109 * * [simplify]: iters left: 1 (13 enodes) 182.113 * * [simplify]: Extracting #0: cost 1 inf + 0 182.113 * * [simplify]: Extracting #1: cost 0 inf + 1 182.113 * [simplify]: Simplified to 1 182.113 * [simplify]: Simplified (2 1) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt 1)))) 182.113 * * * * [progress]: [ 300 / 315 ] simplifiying candidate # 182.113 * [simplify]: Simplifying (sqrt 1) 182.113 * * [simplify]: iters left: 1 (2 enodes) 182.116 * * [simplify]: Extracting #0: cost 1 inf + 0 182.116 * * [simplify]: Extracting #1: cost 0 inf + 1 182.116 * [simplify]: Simplified to 1 182.116 * [simplify]: Simplified (2 1) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)))) 182.117 * * * * [progress]: [ 301 / 315 ] simplifiying candidate # 182.117 * * * * [progress]: [ 302 / 315 ] simplifiying candidate # 182.117 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 182.117 * * [simplify]: iters left: 5 (10 enodes) 182.123 * * [simplify]: iters left: 4 (45 enodes) 182.139 * * [simplify]: iters left: 3 (78 enodes) 182.165 * * [simplify]: iters left: 2 (120 enodes) 182.206 * * [simplify]: iters left: 1 (205 enodes) 182.286 * * [simplify]: Extracting #0: cost 1 inf + 0 182.286 * * [simplify]: Extracting #1: cost 13 inf + 0 182.286 * * [simplify]: Extracting #2: cost 64 inf + 1 182.287 * * [simplify]: Extracting #3: cost 99 inf + 49 182.287 * * [simplify]: Extracting #4: cost 97 inf + 806 182.288 * * [simplify]: Extracting #5: cost 58 inf + 4778 182.291 * * [simplify]: Extracting #6: cost 15 inf + 17624 182.295 * * [simplify]: Extracting #7: cost 1 inf + 26643 182.299 * * [simplify]: Extracting #8: cost 0 inf + 26968 182.303 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 2)) 182.303 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 182.303 * * * * [progress]: [ 303 / 315 ] simplifiying candidate #real (real->posit16 (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))> 182.303 * * * * [progress]: [ 304 / 315 ] simplifiying candidate # 182.303 * [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))))) 182.303 * * [simplify]: iters left: 6 (37 enodes) 182.315 * * [simplify]: iters left: 5 (190 enodes) 182.402 * * [simplify]: Extracting #0: cost 1 inf + 0 182.402 * * [simplify]: Extracting #1: cost 22 inf + 0 182.403 * * [simplify]: Extracting #2: cost 108 inf + 1 182.403 * * [simplify]: Extracting #3: cost 171 inf + 46 182.405 * * [simplify]: Extracting #4: cost 189 inf + 427 182.409 * * [simplify]: Extracting #5: cost 128 inf + 16032 182.425 * * [simplify]: Extracting #6: cost 29 inf + 57153 182.448 * * [simplify]: Extracting #7: cost 4 inf + 75884 182.464 * * [simplify]: Extracting #8: cost 0 inf + 78767 182.487 * [simplify]: Simplified to (fma (* (log (* PI 2)) 1/4) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k k) (log n))) (- (fma (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k (log n)) (* k (log n)))) 1/8 (fma (* (* 1/8 (log (* PI 2))) (log (* PI 2))) (* (* k k) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (exp (* (+ (log n) (log (* PI 2))) 1/2)))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) 1/2))) 182.487 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (fma (* (log (* PI 2)) 1/4) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k k) (log n))) (- (fma (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k (log n)) (* k (log n)))) 1/8 (fma (* (* 1/8 (log (* PI 2))) (log (* PI 2))) (* (* k k) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (exp (* (+ (log n) (log (* PI 2))) 1/2)))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) 1/2)))))) 182.487 * * * * [progress]: [ 305 / 315 ] simplifiying candidate # 182.488 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 182.488 * * [simplify]: iters left: 6 (15 enodes) 182.497 * * [simplify]: iters left: 5 (65 enodes) 182.524 * * [simplify]: iters left: 4 (123 enodes) 182.571 * * [simplify]: iters left: 3 (368 enodes) 182.739 * * [simplify]: Extracting #0: cost 1 inf + 0 182.740 * * [simplify]: Extracting #1: cost 37 inf + 0 182.741 * * [simplify]: Extracting #2: cost 216 inf + 72 182.743 * * [simplify]: Extracting #3: cost 359 inf + 1294 182.750 * * [simplify]: Extracting #4: cost 227 inf + 27604 182.763 * * [simplify]: Extracting #5: cost 34 inf + 80469 182.785 * * [simplify]: Extracting #6: cost 0 inf + 90323 182.818 * * [simplify]: Extracting #7: cost 0 inf + 90139 182.843 * * [simplify]: Extracting #8: cost 0 inf + 90138 182.859 * [simplify]: Simplified to (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) 182.860 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k))))))) 182.860 * * * * [progress]: [ 306 / 315 ] simplifiying candidate # 182.860 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 182.860 * * [simplify]: iters left: 6 (16 enodes) 182.869 * * [simplify]: iters left: 5 (67 enodes) 182.891 * * [simplify]: iters left: 4 (134 enodes) 182.924 * * [simplify]: iters left: 3 (413 enodes) 183.120 * * [simplify]: Extracting #0: cost 1 inf + 0 183.120 * * [simplify]: Extracting #1: cost 39 inf + 0 183.120 * * [simplify]: Extracting #2: cost 241 inf + 72 183.122 * * [simplify]: Extracting #3: cost 450 inf + 903 183.128 * * [simplify]: Extracting #4: cost 376 inf + 10375 183.138 * * [simplify]: Extracting #5: cost 157 inf + 67388 183.168 * * [simplify]: Extracting #6: cost 12 inf + 118840 183.213 * * [simplify]: Extracting #7: cost 0 inf + 121984 183.259 * * [simplify]: Extracting #8: cost 0 inf + 121983 183.304 * [simplify]: Simplified to (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) 183.304 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n)))))))))) 183.305 * * * * [progress]: [ 307 / 315 ] simplifiying candidate # 183.305 * [simplify]: Simplifying (* 2 (* n PI)) 183.305 * * [simplify]: iters left: 4 (5 enodes) 183.308 * * [simplify]: iters left: 3 (19 enodes) 183.315 * * [simplify]: iters left: 2 (27 enodes) 183.323 * * [simplify]: iters left: 1 (32 enodes) 183.331 * * [simplify]: Extracting #0: cost 1 inf + 0 183.331 * * [simplify]: Extracting #1: cost 8 inf + 0 183.331 * * [simplify]: Extracting #2: cost 7 inf + 45 183.332 * * [simplify]: Extracting #3: cost 0 inf + 421 183.332 * [simplify]: Simplified to (* (* PI n) 2) 183.332 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2))))) 183.332 * * * * [progress]: [ 308 / 315 ] simplifiying candidate # 183.332 * [simplify]: Simplifying (* 2 (* n PI)) 183.332 * * [simplify]: iters left: 4 (5 enodes) 183.335 * * [simplify]: iters left: 3 (19 enodes) 183.341 * * [simplify]: iters left: 2 (27 enodes) 183.349 * * [simplify]: iters left: 1 (32 enodes) 183.358 * * [simplify]: Extracting #0: cost 1 inf + 0 183.358 * * [simplify]: Extracting #1: cost 8 inf + 0 183.358 * * [simplify]: Extracting #2: cost 7 inf + 45 183.358 * * [simplify]: Extracting #3: cost 0 inf + 421 183.358 * [simplify]: Simplified to (* (* PI n) 2) 183.358 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2))))) 183.358 * * * * [progress]: [ 309 / 315 ] simplifiying candidate # 183.359 * [simplify]: Simplifying (* 2 (* n PI)) 183.359 * * [simplify]: iters left: 4 (5 enodes) 183.361 * * [simplify]: iters left: 3 (19 enodes) 183.368 * * [simplify]: iters left: 2 (27 enodes) 183.376 * * [simplify]: iters left: 1 (32 enodes) 183.384 * * [simplify]: Extracting #0: cost 1 inf + 0 183.384 * * [simplify]: Extracting #1: cost 8 inf + 0 183.384 * * [simplify]: Extracting #2: cost 7 inf + 45 183.384 * * [simplify]: Extracting #3: cost 0 inf + 421 183.385 * [simplify]: Simplified to (* (* PI n) 2) 183.385 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2))))) 183.385 * * * * [progress]: [ 310 / 315 ] simplifiying candidate # 183.385 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) PI)) (- (+ (* +nan.0 (/ (* (sqrt 1/2) (pow k 2)) PI)) (- (+ (* +nan.0 (/ (* n (* (sqrt 1/2) k)) (pow PI 2))) (- (+ (* +nan.0 (/ (* (log n) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2)))) PI)) (- (* +nan.0 (/ (* (sqrt 1/2) k) PI))))))))))) 183.385 * [simplify]: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 183.386 * * * * [progress]: [ 311 / 315 ] simplifiying candidate # 183.386 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))))) (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2)))) (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)))))))) 183.386 * [simplify]: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 183.386 * * * * [progress]: [ 312 / 315 ] simplifiying candidate # 183.387 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k))) (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2)))) (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))))))))) 183.387 * [simplify]: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 183.387 * * * * [progress]: [ 313 / 315 ] simplifiying candidate # 183.387 * [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))))))))))))) 183.388 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 183.388 * * * * [progress]: [ 314 / 315 ] simplifiying candidate # 183.388 * [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)))))))) 183.388 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 183.388 * * * * [progress]: [ 315 / 315 ] simplifiying candidate # 183.389 * [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)))))))))))) 183.389 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 183.389 * * * [progress]: adding candidates to table 187.059 * [progress]: [Phase 3 of 3] Extracting. 187.059 * * [regime]: Finding splitpoints for: (# # # # # # # #) 187.060 * * * [regime-changes]: Trying 2 branch expressions: (n k) 187.060 * * * * [regimes]: Trying to branch on n from (# # # # # # # #) 187.144 * * * * [regimes]: Trying to branch on k from (# # # # # # # #) 187.201 * * * [regime]: Found split indices: #