46.018 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.192 * * * [progress]: [2/2] Setting up program. 0.197 * [progress]: [Phase 2 of 3] Improving. 0.197 * [simplify]: Simplifying: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.198 * * [simplify]: Extracting # 0 : cost 0 0.198 * * [simplify]: Extracting # 1 : cost 0 0.198 * * [simplify]: Extracting # 2 : cost 0 0.198 * * [simplify]: Extracting # 3 : cost 0 0.198 * * [simplify]: Extracting # 4 : cost 0 0.198 * * [simplify]: Extracting # 5 : cost 0 0.198 * * [simplify]: Extracting # 6 : cost 0 0.198 * * [simplify]: Extracting # 7 : cost 0 0.198 * * [simplify]: iteration 0 : 13 enodes (cost 16 ) 0.204 * * [simplify]: Extracting # 0 : cost 0 0.204 * * [simplify]: Extracting # 1 : cost 0 0.204 * * [simplify]: Extracting # 2 : cost 0 0.204 * * [simplify]: Extracting # 3 : cost 0 0.204 * * [simplify]: Extracting # 4 : cost 0 0.204 * * [simplify]: Extracting # 5 : cost 0 0.204 * * [simplify]: iteration 1 : 29 enodes (cost 16 ) 0.215 * * [simplify]: Extracting # 0 : cost 0 0.215 * * [simplify]: Extracting # 1 : cost 0 0.215 * * [simplify]: Extracting # 2 : cost 0 0.215 * * [simplify]: Extracting # 3 : cost 0 0.215 * * [simplify]: Extracting # 4 : cost 0 0.216 * * [simplify]: iteration 2 : 59 enodes (cost 16 ) 0.241 * * [simplify]: Extracting # 0 : cost 0 0.241 * * [simplify]: Extracting # 1 : cost 0 0.241 * * [simplify]: Extracting # 2 : cost 0 0.242 * * [simplify]: Extracting # 3 : cost 0 0.242 * * [simplify]: Extracting # 4 : cost 0 0.242 * * [simplify]: iteration 3 : 120 enodes (cost 16 ) 0.280 * * [simplify]: Extracting # 0 : cost 0 0.280 * * [simplify]: Extracting # 1 : cost 0 0.280 * * [simplify]: Extracting # 2 : cost 0 0.281 * * [simplify]: Extracting # 3 : cost 0 0.281 * * [simplify]: Extracting # 4 : cost 0 0.293 * * [simplify]: iteration 4 : 330 enodes (cost 16 ) 0.482 * * [simplify]: Extracting # 0 : cost 0 0.485 * * [simplify]: Extracting # 1 : cost 0 0.488 * * [simplify]: Extracting # 2 : cost 0 0.497 * * [simplify]: Extracting # 3 : cost 0 0.500 * * [simplify]: Extracting # 4 : cost 0 0.503 * * [simplify]: Extracting # 5 : cost 0 0.505 * * [simplify]: iteration 5 : 1545 enodes (cost 16 ) 1.356 * * [simplify]: Extracting # 0 : cost 0 1.391 * * [simplify]: Extracting # 1 : cost 0 1.398 * * [simplify]: Extracting # 2 : cost 0 1.405 * * [simplify]: Extracting # 3 : cost 0 1.411 * * [simplify]: Extracting # 4 : cost 0 1.418 * * [simplify]: iteration done: 5000 enodes (cost 16 ) 1.418 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 1.420 * * [progress]: iteration 1 / 4 1.420 * * * [progress]: picking best candidate 1.422 * * * * [pick]: Picked # 1.422 * * * [progress]: localizing error 1.438 * * * [progress]: generating rewritten candidates 1.438 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.461 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 1.478 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.484 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.554 * * * [progress]: generating series expansions 1.554 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.555 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 1.555 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 1.555 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 1.555 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.555 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.555 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.555 * [taylor]: Taking taylor expansion of 0.5 in k 1.555 * [backup-simplify]: Simplify 0.5 into 0.5 1.555 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.555 * [taylor]: Taking taylor expansion of 1.0 in k 1.555 * [backup-simplify]: Simplify 1.0 into 1.0 1.555 * [taylor]: Taking taylor expansion of k in k 1.555 * [backup-simplify]: Simplify 0 into 0 1.555 * [backup-simplify]: Simplify 1 into 1 1.555 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.555 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.555 * [taylor]: Taking taylor expansion of 2.0 in k 1.555 * [backup-simplify]: Simplify 2.0 into 2.0 1.555 * [taylor]: Taking taylor expansion of (* n PI) in k 1.555 * [taylor]: Taking taylor expansion of n in k 1.555 * [backup-simplify]: Simplify n into n 1.555 * [taylor]: Taking taylor expansion of PI in k 1.555 * [backup-simplify]: Simplify PI into PI 1.555 * [backup-simplify]: Simplify (* n PI) into (* n PI) 1.555 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 1.555 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 1.556 * [backup-simplify]: Simplify (- 0) into 0 1.556 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.556 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 1.556 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 1.556 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 1.556 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.557 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.557 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.557 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.557 * [taylor]: Taking taylor expansion of 0.5 in n 1.557 * [backup-simplify]: Simplify 0.5 into 0.5 1.557 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.557 * [taylor]: Taking taylor expansion of 1.0 in n 1.557 * [backup-simplify]: Simplify 1.0 into 1.0 1.557 * [taylor]: Taking taylor expansion of k in n 1.557 * [backup-simplify]: Simplify k into k 1.557 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.557 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.557 * [taylor]: Taking taylor expansion of 2.0 in n 1.557 * [backup-simplify]: Simplify 2.0 into 2.0 1.557 * [taylor]: Taking taylor expansion of (* n PI) in n 1.557 * [taylor]: Taking taylor expansion of n in n 1.557 * [backup-simplify]: Simplify 0 into 0 1.557 * [backup-simplify]: Simplify 1 into 1 1.557 * [taylor]: Taking taylor expansion of PI in n 1.557 * [backup-simplify]: Simplify PI into PI 1.557 * [backup-simplify]: Simplify (* 0 PI) into 0 1.557 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.558 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.559 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 1.560 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.560 * [backup-simplify]: Simplify (- k) into (- k) 1.560 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 1.560 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 1.561 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 1.562 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 1.563 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 1.563 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.563 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.563 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.563 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.563 * [taylor]: Taking taylor expansion of 0.5 in n 1.563 * [backup-simplify]: Simplify 0.5 into 0.5 1.563 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.563 * [taylor]: Taking taylor expansion of 1.0 in n 1.563 * [backup-simplify]: Simplify 1.0 into 1.0 1.563 * [taylor]: Taking taylor expansion of k in n 1.563 * [backup-simplify]: Simplify k into k 1.563 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.563 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.563 * [taylor]: Taking taylor expansion of 2.0 in n 1.563 * [backup-simplify]: Simplify 2.0 into 2.0 1.564 * [taylor]: Taking taylor expansion of (* n PI) in n 1.564 * [taylor]: Taking taylor expansion of n in n 1.564 * [backup-simplify]: Simplify 0 into 0 1.564 * [backup-simplify]: Simplify 1 into 1 1.564 * [taylor]: Taking taylor expansion of PI in n 1.564 * [backup-simplify]: Simplify PI into PI 1.564 * [backup-simplify]: Simplify (* 0 PI) into 0 1.565 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.566 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.567 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 1.569 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.569 * [backup-simplify]: Simplify (- k) into (- k) 1.569 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 1.569 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 1.570 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 1.571 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 1.572 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 1.573 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 1.573 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 1.573 * [taylor]: Taking taylor expansion of 0.5 in k 1.573 * [backup-simplify]: Simplify 0.5 into 0.5 1.573 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 1.573 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.573 * [taylor]: Taking taylor expansion of 1.0 in k 1.573 * [backup-simplify]: Simplify 1.0 into 1.0 1.573 * [taylor]: Taking taylor expansion of k in k 1.573 * [backup-simplify]: Simplify 0 into 0 1.573 * [backup-simplify]: Simplify 1 into 1 1.573 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.573 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.573 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.573 * [taylor]: Taking taylor expansion of 2.0 in k 1.573 * [backup-simplify]: Simplify 2.0 into 2.0 1.573 * [taylor]: Taking taylor expansion of PI in k 1.573 * [backup-simplify]: Simplify PI into PI 1.574 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.574 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.574 * [taylor]: Taking taylor expansion of (log n) in k 1.575 * [taylor]: Taking taylor expansion of n in k 1.575 * [backup-simplify]: Simplify n into n 1.575 * [backup-simplify]: Simplify (log n) into (log n) 1.575 * [backup-simplify]: Simplify (- 0) into 0 1.575 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.576 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 1.577 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 1.578 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 1.580 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 1.581 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 1.582 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1.583 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 1.585 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 1.586 * [backup-simplify]: Simplify (- 0) into 0 1.586 * [backup-simplify]: Simplify (+ 0 0) into 0 1.587 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 1.588 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 1.594 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 1.596 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.596 * [taylor]: Taking taylor expansion of 0 in k 1.596 * [backup-simplify]: Simplify 0 into 0 1.596 * [backup-simplify]: Simplify 0 into 0 1.597 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 1.599 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 1.600 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1.600 * [backup-simplify]: Simplify (+ 0 0) into 0 1.601 * [backup-simplify]: Simplify (- 1) into -1 1.601 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.602 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 1.604 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n))))) into (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 1.607 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 1) 1)))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 1.610 * [backup-simplify]: Simplify (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 1.612 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1.613 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1.616 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 1.617 * [backup-simplify]: Simplify (- 0) into 0 1.617 * [backup-simplify]: Simplify (+ 0 0) into 0 1.618 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 1.619 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 1.621 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 1.624 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.624 * [taylor]: Taking taylor expansion of 0 in k 1.624 * [backup-simplify]: Simplify 0 into 0 1.624 * [backup-simplify]: Simplify 0 into 0 1.624 * [backup-simplify]: Simplify 0 into 0 1.625 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 1.628 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 1.630 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1.630 * [backup-simplify]: Simplify (+ 0 0) into 0 1.631 * [backup-simplify]: Simplify (- 0) into 0 1.631 * [backup-simplify]: Simplify (+ 0 0) into 0 1.633 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 1.635 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 1.639 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 1.645 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 1.656 * [backup-simplify]: Simplify (+ (* (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (* k 1)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) 1.657 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 n)) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) 1.657 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 1.657 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.657 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.657 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.657 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.657 * [taylor]: Taking taylor expansion of 0.5 in k 1.657 * [backup-simplify]: Simplify 0.5 into 0.5 1.657 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.657 * [taylor]: Taking taylor expansion of 1.0 in k 1.657 * [backup-simplify]: Simplify 1.0 into 1.0 1.657 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.657 * [taylor]: Taking taylor expansion of k in k 1.657 * [backup-simplify]: Simplify 0 into 0 1.657 * [backup-simplify]: Simplify 1 into 1 1.658 * [backup-simplify]: Simplify (/ 1 1) into 1 1.658 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.658 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.658 * [taylor]: Taking taylor expansion of 2.0 in k 1.658 * [backup-simplify]: Simplify 2.0 into 2.0 1.658 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.658 * [taylor]: Taking taylor expansion of PI in k 1.658 * [backup-simplify]: Simplify PI into PI 1.658 * [taylor]: Taking taylor expansion of n in k 1.658 * [backup-simplify]: Simplify n into n 1.658 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.658 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 1.658 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 1.659 * [backup-simplify]: Simplify (- 1) into -1 1.659 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.659 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 1.659 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 1.660 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 1.660 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.660 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.660 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.660 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.660 * [taylor]: Taking taylor expansion of 0.5 in n 1.660 * [backup-simplify]: Simplify 0.5 into 0.5 1.660 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.660 * [taylor]: Taking taylor expansion of 1.0 in n 1.660 * [backup-simplify]: Simplify 1.0 into 1.0 1.660 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.660 * [taylor]: Taking taylor expansion of k in n 1.660 * [backup-simplify]: Simplify k into k 1.660 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.660 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.660 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.660 * [taylor]: Taking taylor expansion of 2.0 in n 1.660 * [backup-simplify]: Simplify 2.0 into 2.0 1.660 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.660 * [taylor]: Taking taylor expansion of PI in n 1.660 * [backup-simplify]: Simplify PI into PI 1.660 * [taylor]: Taking taylor expansion of n in n 1.660 * [backup-simplify]: Simplify 0 into 0 1.660 * [backup-simplify]: Simplify 1 into 1 1.661 * [backup-simplify]: Simplify (/ PI 1) into PI 1.661 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.662 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.663 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.663 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 1.663 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 1.664 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.665 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 1.667 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 1.667 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.667 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.667 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.667 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.667 * [taylor]: Taking taylor expansion of 0.5 in n 1.667 * [backup-simplify]: Simplify 0.5 into 0.5 1.667 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.667 * [taylor]: Taking taylor expansion of 1.0 in n 1.667 * [backup-simplify]: Simplify 1.0 into 1.0 1.667 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.667 * [taylor]: Taking taylor expansion of k in n 1.667 * [backup-simplify]: Simplify k into k 1.667 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.667 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.667 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.667 * [taylor]: Taking taylor expansion of 2.0 in n 1.667 * [backup-simplify]: Simplify 2.0 into 2.0 1.667 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.667 * [taylor]: Taking taylor expansion of PI in n 1.667 * [backup-simplify]: Simplify PI into PI 1.667 * [taylor]: Taking taylor expansion of n in n 1.667 * [backup-simplify]: Simplify 0 into 0 1.667 * [backup-simplify]: Simplify 1 into 1 1.668 * [backup-simplify]: Simplify (/ PI 1) into PI 1.668 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.669 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.669 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.669 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 1.670 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 1.671 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.672 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 1.674 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 1.674 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 1.674 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 1.674 * [taylor]: Taking taylor expansion of 0.5 in k 1.674 * [backup-simplify]: Simplify 0.5 into 0.5 1.674 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 1.674 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.674 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.674 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.674 * [taylor]: Taking taylor expansion of 2.0 in k 1.674 * [backup-simplify]: Simplify 2.0 into 2.0 1.674 * [taylor]: Taking taylor expansion of PI in k 1.674 * [backup-simplify]: Simplify PI into PI 1.675 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.676 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.676 * [taylor]: Taking taylor expansion of (log n) in k 1.676 * [taylor]: Taking taylor expansion of n in k 1.676 * [backup-simplify]: Simplify n into n 1.676 * [backup-simplify]: Simplify (log n) into (log n) 1.676 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.676 * [taylor]: Taking taylor expansion of 1.0 in k 1.676 * [backup-simplify]: Simplify 1.0 into 1.0 1.676 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.676 * [taylor]: Taking taylor expansion of k in k 1.676 * [backup-simplify]: Simplify 0 into 0 1.676 * [backup-simplify]: Simplify 1 into 1 1.676 * [backup-simplify]: Simplify (/ 1 1) into 1 1.676 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 1.677 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 1.678 * [backup-simplify]: Simplify (- 1) into -1 1.678 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.679 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 1.680 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 1.682 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 1.683 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 1.684 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.685 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 1.687 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 1.687 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.687 * [backup-simplify]: Simplify (- 0) into 0 1.688 * [backup-simplify]: Simplify (+ 0 0) into 0 1.688 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 1.689 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.691 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 1.693 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.693 * [taylor]: Taking taylor expansion of 0 in k 1.693 * [backup-simplify]: Simplify 0 into 0 1.693 * [backup-simplify]: Simplify 0 into 0 1.693 * [backup-simplify]: Simplify 0 into 0 1.694 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.695 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 1.699 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 1.699 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.699 * [backup-simplify]: Simplify (- 0) into 0 1.699 * [backup-simplify]: Simplify (+ 0 0) into 0 1.700 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 1.701 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.702 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 1.703 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.703 * [taylor]: Taking taylor expansion of 0 in k 1.703 * [backup-simplify]: Simplify 0 into 0 1.703 * [backup-simplify]: Simplify 0 into 0 1.703 * [backup-simplify]: Simplify 0 into 0 1.703 * [backup-simplify]: Simplify 0 into 0 1.704 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.705 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.708 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0 1.708 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.708 * [backup-simplify]: Simplify (- 0) into 0 1.709 * [backup-simplify]: Simplify (+ 0 0) into 0 1.709 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 1.710 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.712 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 1.713 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.713 * [taylor]: Taking taylor expansion of 0 in k 1.713 * [backup-simplify]: Simplify 0 into 0 1.713 * [backup-simplify]: Simplify 0 into 0 1.714 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) 1.715 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) 1.715 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 1.715 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.715 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.715 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.715 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.715 * [taylor]: Taking taylor expansion of 0.5 in k 1.715 * [backup-simplify]: Simplify 0.5 into 0.5 1.715 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.715 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.715 * [taylor]: Taking taylor expansion of k in k 1.715 * [backup-simplify]: Simplify 0 into 0 1.715 * [backup-simplify]: Simplify 1 into 1 1.715 * [backup-simplify]: Simplify (/ 1 1) into 1 1.715 * [taylor]: Taking taylor expansion of 1.0 in k 1.715 * [backup-simplify]: Simplify 1.0 into 1.0 1.715 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.715 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.715 * [taylor]: Taking taylor expansion of -2.0 in k 1.715 * [backup-simplify]: Simplify -2.0 into -2.0 1.715 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.715 * [taylor]: Taking taylor expansion of PI in k 1.715 * [backup-simplify]: Simplify PI into PI 1.715 * [taylor]: Taking taylor expansion of n in k 1.715 * [backup-simplify]: Simplify n into n 1.715 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.715 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 1.715 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 1.716 * [backup-simplify]: Simplify (+ 1 0) into 1 1.716 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 1.716 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 1.716 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 1.716 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.716 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.716 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.716 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.716 * [taylor]: Taking taylor expansion of 0.5 in n 1.716 * [backup-simplify]: Simplify 0.5 into 0.5 1.716 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.716 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.716 * [taylor]: Taking taylor expansion of k in n 1.716 * [backup-simplify]: Simplify k into k 1.716 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.716 * [taylor]: Taking taylor expansion of 1.0 in n 1.716 * [backup-simplify]: Simplify 1.0 into 1.0 1.716 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.716 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.716 * [taylor]: Taking taylor expansion of -2.0 in n 1.716 * [backup-simplify]: Simplify -2.0 into -2.0 1.717 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.717 * [taylor]: Taking taylor expansion of PI in n 1.717 * [backup-simplify]: Simplify PI into PI 1.717 * [taylor]: Taking taylor expansion of n in n 1.717 * [backup-simplify]: Simplify 0 into 0 1.717 * [backup-simplify]: Simplify 1 into 1 1.717 * [backup-simplify]: Simplify (/ PI 1) into PI 1.717 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 1.718 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 1.718 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 1.718 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 1.719 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 1.720 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 1.720 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 1.720 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.720 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.720 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.720 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.720 * [taylor]: Taking taylor expansion of 0.5 in n 1.720 * [backup-simplify]: Simplify 0.5 into 0.5 1.721 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.721 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.721 * [taylor]: Taking taylor expansion of k in n 1.721 * [backup-simplify]: Simplify k into k 1.721 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.721 * [taylor]: Taking taylor expansion of 1.0 in n 1.721 * [backup-simplify]: Simplify 1.0 into 1.0 1.721 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.721 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.721 * [taylor]: Taking taylor expansion of -2.0 in n 1.721 * [backup-simplify]: Simplify -2.0 into -2.0 1.721 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.721 * [taylor]: Taking taylor expansion of PI in n 1.721 * [backup-simplify]: Simplify PI into PI 1.721 * [taylor]: Taking taylor expansion of n in n 1.721 * [backup-simplify]: Simplify 0 into 0 1.721 * [backup-simplify]: Simplify 1 into 1 1.721 * [backup-simplify]: Simplify (/ PI 1) into PI 1.721 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 1.722 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 1.722 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 1.722 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 1.726 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 1.727 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 1.728 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 1.728 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 1.728 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 1.728 * [taylor]: Taking taylor expansion of 0.5 in k 1.728 * [backup-simplify]: Simplify 0.5 into 0.5 1.728 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 1.728 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.728 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.728 * [taylor]: Taking taylor expansion of k in k 1.728 * [backup-simplify]: Simplify 0 into 0 1.728 * [backup-simplify]: Simplify 1 into 1 1.729 * [backup-simplify]: Simplify (/ 1 1) into 1 1.729 * [taylor]: Taking taylor expansion of 1.0 in k 1.729 * [backup-simplify]: Simplify 1.0 into 1.0 1.729 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.729 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.729 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.729 * [taylor]: Taking taylor expansion of -2.0 in k 1.729 * [backup-simplify]: Simplify -2.0 into -2.0 1.729 * [taylor]: Taking taylor expansion of PI in k 1.729 * [backup-simplify]: Simplify PI into PI 1.729 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 1.730 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 1.730 * [taylor]: Taking taylor expansion of (log n) in k 1.730 * [taylor]: Taking taylor expansion of n in k 1.730 * [backup-simplify]: Simplify n into n 1.730 * [backup-simplify]: Simplify (log n) into (log n) 1.730 * [backup-simplify]: Simplify (+ 1 0) into 1 1.730 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 1.731 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 1.731 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 1.732 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 1.733 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 1.734 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 1.734 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.735 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 1.736 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 1.736 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.736 * [backup-simplify]: Simplify (+ 0 0) into 0 1.736 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 1.737 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 1.738 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 1.739 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.739 * [taylor]: Taking taylor expansion of 0 in k 1.739 * [backup-simplify]: Simplify 0 into 0 1.739 * [backup-simplify]: Simplify 0 into 0 1.739 * [backup-simplify]: Simplify 0 into 0 1.740 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.740 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 1.742 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 PI) 1)))) 2) into 0 1.742 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.743 * [backup-simplify]: Simplify (+ 0 0) into 0 1.743 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 1.744 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 1.745 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 1.747 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.747 * [taylor]: Taking taylor expansion of 0 in k 1.747 * [backup-simplify]: Simplify 0 into 0 1.747 * [backup-simplify]: Simplify 0 into 0 1.747 * [backup-simplify]: Simplify 0 into 0 1.747 * [backup-simplify]: Simplify 0 into 0 1.747 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.748 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.751 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2.0 PI) 1)))) 6) into 0 1.751 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.752 * [backup-simplify]: Simplify (+ 0 0) into 0 1.752 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 1.753 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 1.754 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 1.756 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.756 * [taylor]: Taking taylor expansion of 0 in k 1.756 * [backup-simplify]: Simplify 0 into 0 1.756 * [backup-simplify]: Simplify 0 into 0 1.757 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))) into (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 1.757 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 1.758 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 1.758 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.758 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.758 * [taylor]: Taking taylor expansion of 2.0 in n 1.758 * [backup-simplify]: Simplify 2.0 into 2.0 1.758 * [taylor]: Taking taylor expansion of (* n PI) in n 1.758 * [taylor]: Taking taylor expansion of n in n 1.758 * [backup-simplify]: Simplify 0 into 0 1.758 * [backup-simplify]: Simplify 1 into 1 1.758 * [taylor]: Taking taylor expansion of PI in n 1.758 * [backup-simplify]: Simplify PI into PI 1.758 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.758 * [taylor]: Taking taylor expansion of 2.0 in n 1.758 * [backup-simplify]: Simplify 2.0 into 2.0 1.758 * [taylor]: Taking taylor expansion of (* n PI) in n 1.758 * [taylor]: Taking taylor expansion of n in n 1.758 * [backup-simplify]: Simplify 0 into 0 1.758 * [backup-simplify]: Simplify 1 into 1 1.758 * [taylor]: Taking taylor expansion of PI in n 1.758 * [backup-simplify]: Simplify PI into PI 1.758 * [backup-simplify]: Simplify (* 0 PI) into 0 1.759 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.759 * [backup-simplify]: Simplify 0 into 0 1.760 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.760 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 1.761 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.761 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1.762 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 1.762 * [backup-simplify]: Simplify 0 into 0 1.763 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1.764 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1.764 * [backup-simplify]: Simplify 0 into 0 1.765 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1.767 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1.767 * [backup-simplify]: Simplify 0 into 0 1.768 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1.770 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1.770 * [backup-simplify]: Simplify 0 into 0 1.772 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1.774 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1.774 * [backup-simplify]: Simplify 0 into 0 1.776 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1.778 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1.778 * [backup-simplify]: Simplify 0 into 0 1.778 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 1.779 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 1.779 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.779 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.779 * [taylor]: Taking taylor expansion of 2.0 in n 1.779 * [backup-simplify]: Simplify 2.0 into 2.0 1.779 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.779 * [taylor]: Taking taylor expansion of PI in n 1.779 * [backup-simplify]: Simplify PI into PI 1.779 * [taylor]: Taking taylor expansion of n in n 1.779 * [backup-simplify]: Simplify 0 into 0 1.779 * [backup-simplify]: Simplify 1 into 1 1.780 * [backup-simplify]: Simplify (/ PI 1) into PI 1.780 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.780 * [taylor]: Taking taylor expansion of 2.0 in n 1.780 * [backup-simplify]: Simplify 2.0 into 2.0 1.780 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.780 * [taylor]: Taking taylor expansion of PI in n 1.780 * [backup-simplify]: Simplify PI into PI 1.780 * [taylor]: Taking taylor expansion of n in n 1.780 * [backup-simplify]: Simplify 0 into 0 1.780 * [backup-simplify]: Simplify 1 into 1 1.781 * [backup-simplify]: Simplify (/ PI 1) into PI 1.781 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.782 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.783 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.784 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 1.784 * [backup-simplify]: Simplify 0 into 0 1.785 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.786 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 1.786 * [backup-simplify]: Simplify 0 into 0 1.787 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.788 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.788 * [backup-simplify]: Simplify 0 into 0 1.789 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.791 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1.791 * [backup-simplify]: Simplify 0 into 0 1.792 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.793 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1.794 * [backup-simplify]: Simplify 0 into 0 1.795 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.796 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1.796 * [backup-simplify]: Simplify 0 into 0 1.797 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 1.798 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 1.798 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.798 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.798 * [taylor]: Taking taylor expansion of -2.0 in n 1.798 * [backup-simplify]: Simplify -2.0 into -2.0 1.798 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.798 * [taylor]: Taking taylor expansion of PI in n 1.798 * [backup-simplify]: Simplify PI into PI 1.798 * [taylor]: Taking taylor expansion of n in n 1.798 * [backup-simplify]: Simplify 0 into 0 1.798 * [backup-simplify]: Simplify 1 into 1 1.799 * [backup-simplify]: Simplify (/ PI 1) into PI 1.799 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.799 * [taylor]: Taking taylor expansion of -2.0 in n 1.799 * [backup-simplify]: Simplify -2.0 into -2.0 1.799 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.799 * [taylor]: Taking taylor expansion of PI in n 1.799 * [backup-simplify]: Simplify PI into PI 1.799 * [taylor]: Taking taylor expansion of n in n 1.799 * [backup-simplify]: Simplify 0 into 0 1.799 * [backup-simplify]: Simplify 1 into 1 1.799 * [backup-simplify]: Simplify (/ PI 1) into PI 1.800 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 1.800 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 1.801 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.802 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 1.802 * [backup-simplify]: Simplify 0 into 0 1.803 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.805 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 1.805 * [backup-simplify]: Simplify 0 into 0 1.806 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.807 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.807 * [backup-simplify]: Simplify 0 into 0 1.808 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.810 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1.810 * [backup-simplify]: Simplify 0 into 0 1.811 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.812 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1.813 * [backup-simplify]: Simplify 0 into 0 1.814 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.815 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1.815 * [backup-simplify]: Simplify 0 into 0 1.816 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 1.816 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.816 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 1.816 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 1.816 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.817 * [taylor]: Taking taylor expansion of 1.0 in k 1.817 * [backup-simplify]: Simplify 1.0 into 1.0 1.817 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.817 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.817 * [taylor]: Taking taylor expansion of k in k 1.817 * [backup-simplify]: Simplify 0 into 0 1.817 * [backup-simplify]: Simplify 1 into 1 1.817 * [backup-simplify]: Simplify (/ 1 1) into 1 1.818 * [backup-simplify]: Simplify (sqrt 0) into 0 1.819 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.819 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.819 * [taylor]: Taking taylor expansion of 1.0 in k 1.819 * [backup-simplify]: Simplify 1.0 into 1.0 1.819 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.819 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.819 * [taylor]: Taking taylor expansion of k in k 1.820 * [backup-simplify]: Simplify 0 into 0 1.820 * [backup-simplify]: Simplify 1 into 1 1.820 * [backup-simplify]: Simplify (/ 1 1) into 1 1.820 * [backup-simplify]: Simplify (sqrt 0) into 0 1.822 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.822 * [backup-simplify]: Simplify (* 1.0 0) into 0 1.822 * [backup-simplify]: Simplify 0 into 0 1.823 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 1.824 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.828 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.830 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 1.830 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.835 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.837 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 1.837 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.839 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 1.839 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 1.839 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 1.839 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.839 * [taylor]: Taking taylor expansion of 1.0 in k 1.839 * [backup-simplify]: Simplify 1.0 into 1.0 1.839 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.839 * [taylor]: Taking taylor expansion of k in k 1.839 * [backup-simplify]: Simplify 0 into 0 1.839 * [backup-simplify]: Simplify 1 into 1 1.840 * [backup-simplify]: Simplify (sqrt 0) into 0 1.841 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.841 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.841 * [taylor]: Taking taylor expansion of 1.0 in k 1.841 * [backup-simplify]: Simplify 1.0 into 1.0 1.841 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.841 * [taylor]: Taking taylor expansion of k in k 1.841 * [backup-simplify]: Simplify 0 into 0 1.841 * [backup-simplify]: Simplify 1 into 1 1.842 * [backup-simplify]: Simplify (sqrt 0) into 0 1.843 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.843 * [backup-simplify]: Simplify (* 1.0 0) into 0 1.843 * [backup-simplify]: Simplify 0 into 0 1.845 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 1.845 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.848 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.855 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 1.855 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.860 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.862 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 1.862 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.864 * [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)))))))) 1.864 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 1.864 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 1.865 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.865 * [taylor]: Taking taylor expansion of 1.0 in k 1.865 * [backup-simplify]: Simplify 1.0 into 1.0 1.865 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.865 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.865 * [taylor]: Taking taylor expansion of -1 in k 1.865 * [backup-simplify]: Simplify -1 into -1 1.865 * [taylor]: Taking taylor expansion of k in k 1.865 * [backup-simplify]: Simplify 0 into 0 1.865 * [backup-simplify]: Simplify 1 into 1 1.865 * [backup-simplify]: Simplify (/ -1 1) into -1 1.866 * [backup-simplify]: Simplify (sqrt 0) into 0 1.867 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.868 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 1.868 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.868 * [taylor]: Taking taylor expansion of 1.0 in k 1.868 * [backup-simplify]: Simplify 1.0 into 1.0 1.868 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.868 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.868 * [taylor]: Taking taylor expansion of -1 in k 1.868 * [backup-simplify]: Simplify -1 into -1 1.868 * [taylor]: Taking taylor expansion of k in k 1.868 * [backup-simplify]: Simplify 0 into 0 1.868 * [backup-simplify]: Simplify 1 into 1 1.869 * [backup-simplify]: Simplify (/ -1 1) into -1 1.869 * [backup-simplify]: Simplify (sqrt 0) into 0 1.870 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.871 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 1.871 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.872 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.875 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.877 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 1.877 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.878 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.882 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.886 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 1.886 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.887 * [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))))) 1.887 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.888 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) into (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) 1.888 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in (k n) around 0 1.888 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 1.888 * [taylor]: Taking taylor expansion of 1.0 in n 1.888 * [backup-simplify]: Simplify 1.0 into 1.0 1.888 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 1.888 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.888 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.888 * [taylor]: Taking taylor expansion of k in n 1.888 * [backup-simplify]: Simplify k into k 1.888 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.888 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1.888 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.889 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1.889 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.889 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.889 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.889 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.889 * [taylor]: Taking taylor expansion of 0.5 in n 1.889 * [backup-simplify]: Simplify 0.5 into 0.5 1.889 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.889 * [taylor]: Taking taylor expansion of 1.0 in n 1.889 * [backup-simplify]: Simplify 1.0 into 1.0 1.889 * [taylor]: Taking taylor expansion of k in n 1.889 * [backup-simplify]: Simplify k into k 1.889 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.889 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.889 * [taylor]: Taking taylor expansion of 2.0 in n 1.889 * [backup-simplify]: Simplify 2.0 into 2.0 1.889 * [taylor]: Taking taylor expansion of (* n PI) in n 1.889 * [taylor]: Taking taylor expansion of n in n 1.889 * [backup-simplify]: Simplify 0 into 0 1.889 * [backup-simplify]: Simplify 1 into 1 1.889 * [taylor]: Taking taylor expansion of PI in n 1.889 * [backup-simplify]: Simplify PI into PI 1.889 * [backup-simplify]: Simplify (* 0 PI) into 0 1.890 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.891 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.893 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 1.894 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.894 * [backup-simplify]: Simplify (- k) into (- k) 1.894 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 1.894 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 1.895 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 1.897 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 1.898 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 1.898 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 1.898 * [taylor]: Taking taylor expansion of 1.0 in k 1.898 * [backup-simplify]: Simplify 1.0 into 1.0 1.898 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 1.898 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.898 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.898 * [taylor]: Taking taylor expansion of k in k 1.898 * [backup-simplify]: Simplify 0 into 0 1.899 * [backup-simplify]: Simplify 1 into 1 1.899 * [backup-simplify]: Simplify (/ 1 1) into 1 1.899 * [backup-simplify]: Simplify (sqrt 0) into 0 1.901 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.901 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 1.901 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.901 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.901 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.901 * [taylor]: Taking taylor expansion of 0.5 in k 1.901 * [backup-simplify]: Simplify 0.5 into 0.5 1.901 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.901 * [taylor]: Taking taylor expansion of 1.0 in k 1.901 * [backup-simplify]: Simplify 1.0 into 1.0 1.901 * [taylor]: Taking taylor expansion of k in k 1.901 * [backup-simplify]: Simplify 0 into 0 1.901 * [backup-simplify]: Simplify 1 into 1 1.901 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.901 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.901 * [taylor]: Taking taylor expansion of 2.0 in k 1.901 * [backup-simplify]: Simplify 2.0 into 2.0 1.901 * [taylor]: Taking taylor expansion of (* n PI) in k 1.901 * [taylor]: Taking taylor expansion of n in k 1.901 * [backup-simplify]: Simplify n into n 1.901 * [taylor]: Taking taylor expansion of PI in k 1.901 * [backup-simplify]: Simplify PI into PI 1.901 * [backup-simplify]: Simplify (* n PI) into (* n PI) 1.901 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 1.901 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 1.902 * [backup-simplify]: Simplify (- 0) into 0 1.902 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.903 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 1.903 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 1.903 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 1.903 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 1.903 * [taylor]: Taking taylor expansion of 1.0 in k 1.903 * [backup-simplify]: Simplify 1.0 into 1.0 1.903 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 1.903 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.903 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.903 * [taylor]: Taking taylor expansion of k in k 1.903 * [backup-simplify]: Simplify 0 into 0 1.903 * [backup-simplify]: Simplify 1 into 1 1.904 * [backup-simplify]: Simplify (/ 1 1) into 1 1.904 * [backup-simplify]: Simplify (sqrt 0) into 0 1.905 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.905 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 1.905 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.905 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.906 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.906 * [taylor]: Taking taylor expansion of 0.5 in k 1.906 * [backup-simplify]: Simplify 0.5 into 0.5 1.906 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.906 * [taylor]: Taking taylor expansion of 1.0 in k 1.906 * [backup-simplify]: Simplify 1.0 into 1.0 1.906 * [taylor]: Taking taylor expansion of k in k 1.906 * [backup-simplify]: Simplify 0 into 0 1.906 * [backup-simplify]: Simplify 1 into 1 1.906 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.906 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.906 * [taylor]: Taking taylor expansion of 2.0 in k 1.906 * [backup-simplify]: Simplify 2.0 into 2.0 1.906 * [taylor]: Taking taylor expansion of (* n PI) in k 1.906 * [taylor]: Taking taylor expansion of n in k 1.906 * [backup-simplify]: Simplify n into n 1.906 * [taylor]: Taking taylor expansion of PI in k 1.906 * [backup-simplify]: Simplify PI into PI 1.906 * [backup-simplify]: Simplify (* n PI) into (* n PI) 1.906 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 1.906 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 1.907 * [backup-simplify]: Simplify (- 0) into 0 1.907 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.908 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 1.908 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 1.908 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 1.908 * [backup-simplify]: Simplify (* 0 (pow (* 2.0 (* n PI)) 0.5)) into 0 1.909 * [backup-simplify]: Simplify (* 1.0 0) into 0 1.909 * [taylor]: Taking taylor expansion of 0 in n 1.909 * [backup-simplify]: Simplify 0 into 0 1.909 * [backup-simplify]: Simplify 0 into 0 1.910 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 1.910 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (* n PI))) into 0 1.911 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 1) into 0 1.911 * [backup-simplify]: Simplify (- 1) into -1 1.912 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.914 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 1.915 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 (* n PI))))) into (- (* 0.5 (log (* 2.0 (* n PI))))) 1.915 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 1) 1)))) into (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 1.917 * [backup-simplify]: Simplify (+ (* 0 (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (* +nan.0 (pow (* 2.0 (* n PI)) 0.5))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 1.919 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0)) into (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 1.919 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 1.919 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 1.919 * [taylor]: Taking taylor expansion of +nan.0 in n 1.919 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.919 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.919 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.919 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.919 * [taylor]: Taking taylor expansion of 0.5 in n 1.919 * [backup-simplify]: Simplify 0.5 into 0.5 1.919 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.919 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.919 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.919 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.919 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.919 * [taylor]: Taking taylor expansion of 1.0 in n 1.919 * [backup-simplify]: Simplify 1.0 into 1.0 1.919 * [taylor]: Taking taylor expansion of (log PI) in n 1.919 * [taylor]: Taking taylor expansion of PI in n 1.919 * [backup-simplify]: Simplify PI into PI 1.920 * [backup-simplify]: Simplify (log PI) into (log PI) 1.921 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 1.923 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 1.923 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.923 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.923 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.923 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.923 * [taylor]: Taking taylor expansion of 1.0 in n 1.923 * [backup-simplify]: Simplify 1.0 into 1.0 1.923 * [taylor]: Taking taylor expansion of (log n) in n 1.923 * [taylor]: Taking taylor expansion of n in n 1.923 * [backup-simplify]: Simplify 0 into 0 1.923 * [backup-simplify]: Simplify 1 into 1 1.923 * [backup-simplify]: Simplify (log 1) into 0 1.924 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1.924 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 1.924 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 1.924 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.924 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.924 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.924 * [taylor]: Taking taylor expansion of 1.0 in n 1.924 * [backup-simplify]: Simplify 1.0 into 1.0 1.924 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.924 * [taylor]: Taking taylor expansion of 2.0 in n 1.924 * [backup-simplify]: Simplify 2.0 into 2.0 1.925 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 1.926 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 1.927 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 1.927 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 1.928 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.929 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 1.930 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 1.931 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 1.932 * [backup-simplify]: Simplify (* +nan.0 (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 1.932 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 1.933 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 1.933 * [backup-simplify]: Simplify 0 into 0 1.934 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 1.934 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 1.935 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 2) into 0 1.936 * [backup-simplify]: Simplify (- 0) into 0 1.936 * [backup-simplify]: Simplify (+ 0 0) into 0 1.937 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 1.937 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 (* n PI)))))) into 0 1.938 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log (* 2.0 (* n PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 1.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.940 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.942 * [backup-simplify]: Simplify (+ (* 0 (* 0.125 (* (pow (log (* 2.0 (* n PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (+ (* +nan.0 (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (* +nan.0 (pow (* 2.0 (* n PI)) 0.5)))) into (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) 1.946 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0))) into (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) 1.946 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) in n 1.946 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))) in n 1.946 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 1.946 * [taylor]: Taking taylor expansion of +nan.0 in n 1.946 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.946 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.946 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.946 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.946 * [taylor]: Taking taylor expansion of 0.5 in n 1.946 * [backup-simplify]: Simplify 0.5 into 0.5 1.946 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.946 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.946 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.946 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.946 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.946 * [taylor]: Taking taylor expansion of 1.0 in n 1.946 * [backup-simplify]: Simplify 1.0 into 1.0 1.946 * [taylor]: Taking taylor expansion of (log PI) in n 1.946 * [taylor]: Taking taylor expansion of PI in n 1.946 * [backup-simplify]: Simplify PI into PI 1.947 * [backup-simplify]: Simplify (log PI) into (log PI) 1.947 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 1.948 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 1.948 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.948 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.948 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.948 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.948 * [taylor]: Taking taylor expansion of 1.0 in n 1.948 * [backup-simplify]: Simplify 1.0 into 1.0 1.948 * [taylor]: Taking taylor expansion of (log n) in n 1.948 * [taylor]: Taking taylor expansion of n in n 1.948 * [backup-simplify]: Simplify 0 into 0 1.948 * [backup-simplify]: Simplify 1 into 1 1.949 * [backup-simplify]: Simplify (log 1) into 0 1.949 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1.949 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 1.949 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 1.949 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.949 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.949 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.949 * [taylor]: Taking taylor expansion of 1.0 in n 1.949 * [backup-simplify]: Simplify 1.0 into 1.0 1.949 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.949 * [taylor]: Taking taylor expansion of 2.0 in n 1.949 * [backup-simplify]: Simplify 2.0 into 2.0 1.949 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 1.950 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 1.951 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 1.952 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 1.952 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.953 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 1.954 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 1.955 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 1.955 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))) in n 1.955 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 1.955 * [taylor]: Taking taylor expansion of +nan.0 in n 1.955 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.955 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 1.955 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 1.955 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 1.955 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 1.955 * [taylor]: Taking taylor expansion of 0.5 in n 1.955 * [backup-simplify]: Simplify 0.5 into 0.5 1.955 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 1.955 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 1.955 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.955 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.955 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.955 * [taylor]: Taking taylor expansion of 1.0 in n 1.955 * [backup-simplify]: Simplify 1.0 into 1.0 1.955 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.955 * [taylor]: Taking taylor expansion of 2.0 in n 1.955 * [backup-simplify]: Simplify 2.0 into 2.0 1.956 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 1.956 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 1.957 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 1.957 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 1.957 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.957 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.957 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.957 * [taylor]: Taking taylor expansion of 1.0 in n 1.957 * [backup-simplify]: Simplify 1.0 into 1.0 1.957 * [taylor]: Taking taylor expansion of (log PI) in n 1.957 * [taylor]: Taking taylor expansion of PI in n 1.957 * [backup-simplify]: Simplify PI into PI 1.958 * [backup-simplify]: Simplify (log PI) into (log PI) 1.959 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 1.960 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 1.960 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.960 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.960 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.960 * [taylor]: Taking taylor expansion of 1.0 in n 1.960 * [backup-simplify]: Simplify 1.0 into 1.0 1.960 * [taylor]: Taking taylor expansion of (log n) in n 1.960 * [taylor]: Taking taylor expansion of n in n 1.960 * [backup-simplify]: Simplify 0 into 0 1.960 * [backup-simplify]: Simplify 1 into 1 1.960 * [backup-simplify]: Simplify (log 1) into 0 1.960 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1.960 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 1.960 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 1.961 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 1.962 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.963 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 1.963 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 1.964 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 1.964 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.964 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.964 * [taylor]: Taking taylor expansion of 2.0 in n 1.964 * [backup-simplify]: Simplify 2.0 into 2.0 1.964 * [taylor]: Taking taylor expansion of (* n PI) in n 1.964 * [taylor]: Taking taylor expansion of n in n 1.964 * [backup-simplify]: Simplify 0 into 0 1.964 * [backup-simplify]: Simplify 1 into 1 1.964 * [taylor]: Taking taylor expansion of PI in n 1.964 * [backup-simplify]: Simplify PI into PI 1.965 * [backup-simplify]: Simplify (* 0 PI) into 0 1.965 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.966 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.967 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 1.968 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.969 * [backup-simplify]: Simplify (* +nan.0 (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 1.970 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 1.971 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (+ (log (* 2.0 PI)) (log n))) into (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 1.973 * [backup-simplify]: Simplify (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 1.974 * [backup-simplify]: Simplify (- (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))) 1.985 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))) into (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) 1.991 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))) into (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) 1.995 * [backup-simplify]: Simplify (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) 1.996 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 1.996 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 1.997 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 1.998 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.998 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1.999 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0 1.999 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 2.000 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 2.001 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 2.001 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 2.002 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 2.003 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0))) into 0 2.004 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1)))) 1) into 0 2.005 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)))) into 0 2.007 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 2.008 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5))) into 0 2.008 * [backup-simplify]: Simplify (- 0) into 0 2.008 * [backup-simplify]: Simplify 0 into 0 2.008 * [backup-simplify]: Simplify 0 into 0 2.009 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.010 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 2.012 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 (* n PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 (* n PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 6) into 0 2.012 * [backup-simplify]: Simplify (- 0) into 0 2.012 * [backup-simplify]: Simplify (+ 0 0) into 0 2.013 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 2.014 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 (* n PI))))))) into 0 2.015 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 3) 6)) (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.020833333333333332 (* (pow (log (* 2.0 (* n PI))) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 2.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.018 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.022 * [backup-simplify]: Simplify (+ (* 0 (* -0.020833333333333332 (* (pow (log (* 2.0 (* n PI))) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (+ (* +nan.0 (* 0.125 (* (pow (log (* 2.0 (* n PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (+ (* +nan.0 (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (* +nan.0 (pow (* 2.0 (* n PI)) 0.5))))) into (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) 2.032 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))))) (+ (* 0 (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0)))) into (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) 2.032 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) in n 2.032 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))) in n 2.032 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 2.032 * [taylor]: Taking taylor expansion of +nan.0 in n 2.032 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.032 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.032 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.033 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.033 * [taylor]: Taking taylor expansion of 0.5 in n 2.033 * [backup-simplify]: Simplify 0.5 into 0.5 2.033 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.033 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.033 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.033 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.033 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.033 * [taylor]: Taking taylor expansion of 1.0 in n 2.033 * [backup-simplify]: Simplify 1.0 into 1.0 2.033 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.033 * [taylor]: Taking taylor expansion of 2.0 in n 2.033 * [backup-simplify]: Simplify 2.0 into 2.0 2.033 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.034 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 2.036 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.036 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.036 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.036 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.036 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.036 * [taylor]: Taking taylor expansion of 1.0 in n 2.036 * [backup-simplify]: Simplify 1.0 into 1.0 2.036 * [taylor]: Taking taylor expansion of (log n) in n 2.036 * [taylor]: Taking taylor expansion of n in n 2.036 * [backup-simplify]: Simplify 0 into 0 2.036 * [backup-simplify]: Simplify 1 into 1 2.037 * [backup-simplify]: Simplify (log 1) into 0 2.037 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.037 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.037 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.037 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.037 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.037 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.037 * [taylor]: Taking taylor expansion of 1.0 in n 2.037 * [backup-simplify]: Simplify 1.0 into 1.0 2.037 * [taylor]: Taking taylor expansion of (log PI) in n 2.037 * [taylor]: Taking taylor expansion of PI in n 2.037 * [backup-simplify]: Simplify PI into PI 2.038 * [backup-simplify]: Simplify (log PI) into (log PI) 2.039 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.040 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.041 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 2.043 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 2.044 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 2.045 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 2.047 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 2.047 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))) in n 2.047 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))) in n 2.047 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 2.047 * [taylor]: Taking taylor expansion of +nan.0 in n 2.047 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.047 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 2.047 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 2.047 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.047 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.047 * [taylor]: Taking taylor expansion of 0.5 in n 2.047 * [backup-simplify]: Simplify 0.5 into 0.5 2.047 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.047 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.047 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.047 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.047 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.047 * [taylor]: Taking taylor expansion of 1.0 in n 2.047 * [backup-simplify]: Simplify 1.0 into 1.0 2.048 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.048 * [taylor]: Taking taylor expansion of 2.0 in n 2.048 * [backup-simplify]: Simplify 2.0 into 2.0 2.048 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.049 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 2.050 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.050 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.050 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.050 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.050 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.050 * [taylor]: Taking taylor expansion of 1.0 in n 2.051 * [backup-simplify]: Simplify 1.0 into 1.0 2.051 * [taylor]: Taking taylor expansion of (log PI) in n 2.051 * [taylor]: Taking taylor expansion of PI in n 2.051 * [backup-simplify]: Simplify PI into PI 2.051 * [backup-simplify]: Simplify (log PI) into (log PI) 2.052 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.054 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.054 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.054 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.054 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.054 * [taylor]: Taking taylor expansion of 1.0 in n 2.054 * [backup-simplify]: Simplify 1.0 into 1.0 2.054 * [taylor]: Taking taylor expansion of (log n) in n 2.054 * [taylor]: Taking taylor expansion of n in n 2.054 * [backup-simplify]: Simplify 0 into 0 2.054 * [backup-simplify]: Simplify 1 into 1 2.054 * [backup-simplify]: Simplify (log 1) into 0 2.055 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.055 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.055 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.056 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 2.057 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 2.058 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 2.060 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 2.061 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 2.061 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.061 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.061 * [taylor]: Taking taylor expansion of 2.0 in n 2.061 * [backup-simplify]: Simplify 2.0 into 2.0 2.061 * [taylor]: Taking taylor expansion of (* n PI) in n 2.061 * [taylor]: Taking taylor expansion of n in n 2.061 * [backup-simplify]: Simplify 0 into 0 2.061 * [backup-simplify]: Simplify 1 into 1 2.061 * [taylor]: Taking taylor expansion of PI in n 2.061 * [backup-simplify]: Simplify PI into PI 2.062 * [backup-simplify]: Simplify (* 0 PI) into 0 2.062 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.064 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.065 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.066 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.066 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))) in n 2.066 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) in n 2.066 * [taylor]: Taking taylor expansion of +nan.0 in n 2.066 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.066 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)) in n 2.066 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 2.066 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.066 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.066 * [taylor]: Taking taylor expansion of 0.5 in n 2.067 * [backup-simplify]: Simplify 0.5 into 0.5 2.067 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.067 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.067 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.067 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.067 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.067 * [taylor]: Taking taylor expansion of 1.0 in n 2.067 * [backup-simplify]: Simplify 1.0 into 1.0 2.067 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.067 * [taylor]: Taking taylor expansion of 2.0 in n 2.067 * [backup-simplify]: Simplify 2.0 into 2.0 2.067 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.068 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 2.069 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.070 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.070 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.070 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.070 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.070 * [taylor]: Taking taylor expansion of 1.0 in n 2.070 * [backup-simplify]: Simplify 1.0 into 1.0 2.070 * [taylor]: Taking taylor expansion of (log PI) in n 2.070 * [taylor]: Taking taylor expansion of PI in n 2.070 * [backup-simplify]: Simplify PI into PI 2.070 * [backup-simplify]: Simplify (log PI) into (log PI) 2.071 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.073 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.073 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.073 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.073 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.073 * [taylor]: Taking taylor expansion of 1.0 in n 2.073 * [backup-simplify]: Simplify 1.0 into 1.0 2.073 * [taylor]: Taking taylor expansion of (log n) in n 2.073 * [taylor]: Taking taylor expansion of n in n 2.073 * [backup-simplify]: Simplify 0 into 0 2.073 * [backup-simplify]: Simplify 1 into 1 2.073 * [backup-simplify]: Simplify (log 1) into 0 2.074 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.074 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.074 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.075 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 2.076 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 2.077 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 2.078 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 2.080 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 2.080 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 2.080 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.080 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.080 * [taylor]: Taking taylor expansion of 2.0 in n 2.080 * [backup-simplify]: Simplify 2.0 into 2.0 2.080 * [taylor]: Taking taylor expansion of (* n PI) in n 2.080 * [taylor]: Taking taylor expansion of n in n 2.080 * [backup-simplify]: Simplify 0 into 0 2.080 * [backup-simplify]: Simplify 1 into 1 2.080 * [taylor]: Taking taylor expansion of PI in n 2.080 * [backup-simplify]: Simplify PI into PI 2.081 * [backup-simplify]: Simplify (* 0 PI) into 0 2.081 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.082 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.084 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.085 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.086 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.088 * [backup-simplify]: Simplify (* +nan.0 (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 2.089 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.092 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (+ (log (* 2.0 PI)) (log n))) into (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 2.094 * [backup-simplify]: Simplify (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 2.095 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.097 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.099 * [backup-simplify]: Simplify (* (+ (log (* 2.0 PI)) (log n)) (+ (log (* 2.0 PI)) (log n))) into (pow (+ (log (* 2.0 PI)) (log n)) 2) 2.102 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (pow (+ (log (* 2.0 PI)) (log n)) 2)) into (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 2.104 * [backup-simplify]: Simplify (* +nan.0 (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (* +nan.0 (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 2.107 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) into (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) 2.124 * [backup-simplify]: Simplify (+ (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))))))) 2.139 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))) 2.155 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) 2.171 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) 2.181 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) 2.196 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) (pow (* 1 k) 2)) (+ (* (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) (* 1 k)) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) into (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))))))))))) 2.197 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 k))) (pow (* (* 2.0 PI) (/ 1 n)) (/ (- 1.0 (/ 1 k)) 2.0))) into (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) 2.197 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in (k n) around 0 2.197 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 2.197 * [taylor]: Taking taylor expansion of 1.0 in n 2.197 * [backup-simplify]: Simplify 1.0 into 1.0 2.197 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 2.197 * [taylor]: Taking taylor expansion of (sqrt k) in n 2.197 * [taylor]: Taking taylor expansion of k in n 2.197 * [backup-simplify]: Simplify k into k 2.197 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 2.197 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 2.197 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.197 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.197 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.197 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.197 * [taylor]: Taking taylor expansion of 0.5 in n 2.197 * [backup-simplify]: Simplify 0.5 into 0.5 2.197 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.197 * [taylor]: Taking taylor expansion of 1.0 in n 2.197 * [backup-simplify]: Simplify 1.0 into 1.0 2.197 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.197 * [taylor]: Taking taylor expansion of k in n 2.197 * [backup-simplify]: Simplify k into k 2.197 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.197 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.197 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.197 * [taylor]: Taking taylor expansion of 2.0 in n 2.197 * [backup-simplify]: Simplify 2.0 into 2.0 2.197 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.197 * [taylor]: Taking taylor expansion of PI in n 2.198 * [backup-simplify]: Simplify PI into PI 2.198 * [taylor]: Taking taylor expansion of n in n 2.198 * [backup-simplify]: Simplify 0 into 0 2.198 * [backup-simplify]: Simplify 1 into 1 2.198 * [backup-simplify]: Simplify (/ PI 1) into PI 2.198 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.199 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.199 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 2.199 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 2.199 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 2.200 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.201 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 2.201 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 2.201 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 2.201 * [taylor]: Taking taylor expansion of 1.0 in k 2.201 * [backup-simplify]: Simplify 1.0 into 1.0 2.201 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 2.201 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.202 * [taylor]: Taking taylor expansion of k in k 2.202 * [backup-simplify]: Simplify 0 into 0 2.202 * [backup-simplify]: Simplify 1 into 1 2.202 * [backup-simplify]: Simplify (sqrt 0) into 0 2.203 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.203 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.203 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.203 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.203 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.203 * [taylor]: Taking taylor expansion of 0.5 in k 2.203 * [backup-simplify]: Simplify 0.5 into 0.5 2.203 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.203 * [taylor]: Taking taylor expansion of 1.0 in k 2.203 * [backup-simplify]: Simplify 1.0 into 1.0 2.203 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.203 * [taylor]: Taking taylor expansion of k in k 2.203 * [backup-simplify]: Simplify 0 into 0 2.203 * [backup-simplify]: Simplify 1 into 1 2.203 * [backup-simplify]: Simplify (/ 1 1) into 1 2.203 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.203 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.203 * [taylor]: Taking taylor expansion of 2.0 in k 2.203 * [backup-simplify]: Simplify 2.0 into 2.0 2.203 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.203 * [taylor]: Taking taylor expansion of PI in k 2.203 * [backup-simplify]: Simplify PI into PI 2.203 * [taylor]: Taking taylor expansion of n in k 2.203 * [backup-simplify]: Simplify n into n 2.203 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 2.203 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 2.204 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 2.204 * [backup-simplify]: Simplify (- 1) into -1 2.204 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.204 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 2.204 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 2.205 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 2.205 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 2.205 * [taylor]: Taking taylor expansion of 1.0 in k 2.205 * [backup-simplify]: Simplify 1.0 into 1.0 2.205 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 2.205 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.205 * [taylor]: Taking taylor expansion of k in k 2.205 * [backup-simplify]: Simplify 0 into 0 2.205 * [backup-simplify]: Simplify 1 into 1 2.205 * [backup-simplify]: Simplify (sqrt 0) into 0 2.206 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.206 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.206 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.206 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.206 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.206 * [taylor]: Taking taylor expansion of 0.5 in k 2.206 * [backup-simplify]: Simplify 0.5 into 0.5 2.206 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.206 * [taylor]: Taking taylor expansion of 1.0 in k 2.206 * [backup-simplify]: Simplify 1.0 into 1.0 2.206 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.206 * [taylor]: Taking taylor expansion of k in k 2.206 * [backup-simplify]: Simplify 0 into 0 2.206 * [backup-simplify]: Simplify 1 into 1 2.206 * [backup-simplify]: Simplify (/ 1 1) into 1 2.206 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.206 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.206 * [taylor]: Taking taylor expansion of 2.0 in k 2.206 * [backup-simplify]: Simplify 2.0 into 2.0 2.206 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.206 * [taylor]: Taking taylor expansion of PI in k 2.207 * [backup-simplify]: Simplify PI into PI 2.207 * [taylor]: Taking taylor expansion of n in k 2.207 * [backup-simplify]: Simplify n into n 2.207 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 2.207 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 2.207 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 2.207 * [backup-simplify]: Simplify (- 1) into -1 2.207 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.207 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 2.208 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 2.208 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 2.208 * [backup-simplify]: Simplify (* 0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) into 0 2.208 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.208 * [taylor]: Taking taylor expansion of 0 in n 2.208 * [backup-simplify]: Simplify 0 into 0 2.208 * [backup-simplify]: Simplify 0 into 0 2.209 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 2.209 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (* 0 0)) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 2.209 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 2.209 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 2.209 * [taylor]: Taking taylor expansion of +nan.0 in n 2.209 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.209 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 2.209 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 2.209 * [taylor]: Taking taylor expansion of 0.5 in n 2.209 * [backup-simplify]: Simplify 0.5 into 0.5 2.209 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 2.209 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.209 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.209 * [taylor]: Taking taylor expansion of 2.0 in n 2.209 * [backup-simplify]: Simplify 2.0 into 2.0 2.209 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.209 * [taylor]: Taking taylor expansion of PI in n 2.210 * [backup-simplify]: Simplify PI into PI 2.210 * [taylor]: Taking taylor expansion of n in n 2.210 * [backup-simplify]: Simplify 0 into 0 2.210 * [backup-simplify]: Simplify 1 into 1 2.210 * [backup-simplify]: Simplify (/ PI 1) into PI 2.210 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.211 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.211 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.211 * [taylor]: Taking taylor expansion of 1.0 in n 2.211 * [backup-simplify]: Simplify 1.0 into 1.0 2.211 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.211 * [taylor]: Taking taylor expansion of k in n 2.211 * [backup-simplify]: Simplify k into k 2.211 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.212 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.212 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 2.212 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 2.213 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 2.213 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 2.214 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 2.215 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) 2.216 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 2.217 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 2.217 * [backup-simplify]: Simplify 0 into 0 2.219 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.219 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 2.220 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (* 0 0))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 2.220 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 2.220 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 2.220 * [taylor]: Taking taylor expansion of +nan.0 in n 2.220 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.220 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 2.220 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 2.220 * [taylor]: Taking taylor expansion of 0.5 in n 2.220 * [backup-simplify]: Simplify 0.5 into 0.5 2.220 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 2.220 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.220 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.220 * [taylor]: Taking taylor expansion of 2.0 in n 2.220 * [backup-simplify]: Simplify 2.0 into 2.0 2.220 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.220 * [taylor]: Taking taylor expansion of PI in n 2.221 * [backup-simplify]: Simplify PI into PI 2.221 * [taylor]: Taking taylor expansion of n in n 2.221 * [backup-simplify]: Simplify 0 into 0 2.221 * [backup-simplify]: Simplify 1 into 1 2.221 * [backup-simplify]: Simplify (/ PI 1) into PI 2.221 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.222 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.222 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.222 * [taylor]: Taking taylor expansion of 1.0 in n 2.222 * [backup-simplify]: Simplify 1.0 into 1.0 2.222 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.222 * [taylor]: Taking taylor expansion of k in n 2.222 * [backup-simplify]: Simplify k into k 2.222 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.223 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.223 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 2.223 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 2.224 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 2.228 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 2.230 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 2.231 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) 2.232 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 2.234 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 2.235 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.236 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 2.236 * [backup-simplify]: Simplify (- 0) into 0 2.237 * [backup-simplify]: Simplify (+ 0 0) into 0 2.238 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.238 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 2.240 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 2.241 * [backup-simplify]: Simplify (+ (* (- (log (* 2.0 PI)) (log n)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 2.243 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into 0 2.245 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.247 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into 0 2.247 * [backup-simplify]: Simplify (- 0) into 0 2.247 * [backup-simplify]: Simplify 0 into 0 2.247 * [backup-simplify]: Simplify 0 into 0 2.251 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.253 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 2.254 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (* 0 0)))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 2.254 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 2.254 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 2.255 * [taylor]: Taking taylor expansion of +nan.0 in n 2.255 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.255 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 2.255 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 2.255 * [taylor]: Taking taylor expansion of 0.5 in n 2.255 * [backup-simplify]: Simplify 0.5 into 0.5 2.255 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 2.255 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.255 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.255 * [taylor]: Taking taylor expansion of 2.0 in n 2.255 * [backup-simplify]: Simplify 2.0 into 2.0 2.255 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.255 * [taylor]: Taking taylor expansion of PI in n 2.255 * [backup-simplify]: Simplify PI into PI 2.255 * [taylor]: Taking taylor expansion of n in n 2.255 * [backup-simplify]: Simplify 0 into 0 2.255 * [backup-simplify]: Simplify 1 into 1 2.256 * [backup-simplify]: Simplify (/ PI 1) into PI 2.256 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.257 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.257 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.257 * [taylor]: Taking taylor expansion of 1.0 in n 2.257 * [backup-simplify]: Simplify 1.0 into 1.0 2.257 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.257 * [taylor]: Taking taylor expansion of k in n 2.257 * [backup-simplify]: Simplify k into k 2.257 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.258 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.259 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 2.259 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 2.260 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 2.261 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 2.262 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 2.263 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) 2.265 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 2.266 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 2.271 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))))))) 2.272 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 (- k)))) (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (- 1.0 (/ 1 (- k))) 2.0))) into (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) 2.272 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k n) around 0 2.272 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 2.272 * [taylor]: Taking taylor expansion of 1.0 in n 2.272 * [backup-simplify]: Simplify 1.0 into 1.0 2.273 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 2.273 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.273 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.273 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.273 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.273 * [taylor]: Taking taylor expansion of 0.5 in n 2.273 * [backup-simplify]: Simplify 0.5 into 0.5 2.273 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.273 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.273 * [taylor]: Taking taylor expansion of k in n 2.273 * [backup-simplify]: Simplify k into k 2.273 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.273 * [taylor]: Taking taylor expansion of 1.0 in n 2.273 * [backup-simplify]: Simplify 1.0 into 1.0 2.273 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.273 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.273 * [taylor]: Taking taylor expansion of -2.0 in n 2.273 * [backup-simplify]: Simplify -2.0 into -2.0 2.273 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.273 * [taylor]: Taking taylor expansion of PI in n 2.273 * [backup-simplify]: Simplify PI into PI 2.273 * [taylor]: Taking taylor expansion of n in n 2.273 * [backup-simplify]: Simplify 0 into 0 2.273 * [backup-simplify]: Simplify 1 into 1 2.274 * [backup-simplify]: Simplify (/ PI 1) into PI 2.274 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.275 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 2.275 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 2.276 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 2.277 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.278 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 2.279 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 2.279 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.280 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.280 * [taylor]: Taking taylor expansion of -1 in n 2.280 * [backup-simplify]: Simplify -1 into -1 2.280 * [taylor]: Taking taylor expansion of k in n 2.280 * [backup-simplify]: Simplify k into k 2.280 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 2.280 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 2.280 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 2.280 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 2.281 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))) into (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))) 2.281 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 2.281 * [taylor]: Taking taylor expansion of 1.0 in k 2.281 * [backup-simplify]: Simplify 1.0 into 1.0 2.282 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 2.282 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.282 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.282 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.282 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.282 * [taylor]: Taking taylor expansion of 0.5 in k 2.282 * [backup-simplify]: Simplify 0.5 into 0.5 2.282 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.282 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.282 * [taylor]: Taking taylor expansion of k in k 2.282 * [backup-simplify]: Simplify 0 into 0 2.282 * [backup-simplify]: Simplify 1 into 1 2.282 * [backup-simplify]: Simplify (/ 1 1) into 1 2.282 * [taylor]: Taking taylor expansion of 1.0 in k 2.282 * [backup-simplify]: Simplify 1.0 into 1.0 2.282 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.282 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.282 * [taylor]: Taking taylor expansion of -2.0 in k 2.282 * [backup-simplify]: Simplify -2.0 into -2.0 2.282 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.282 * [taylor]: Taking taylor expansion of PI in k 2.282 * [backup-simplify]: Simplify PI into PI 2.282 * [taylor]: Taking taylor expansion of n in k 2.282 * [backup-simplify]: Simplify n into n 2.283 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 2.283 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 2.283 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 2.283 * [backup-simplify]: Simplify (+ 1 0) into 1 2.283 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 2.283 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 2.283 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 2.283 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.283 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.283 * [taylor]: Taking taylor expansion of -1 in k 2.283 * [backup-simplify]: Simplify -1 into -1 2.283 * [taylor]: Taking taylor expansion of k in k 2.284 * [backup-simplify]: Simplify 0 into 0 2.284 * [backup-simplify]: Simplify 1 into 1 2.284 * [backup-simplify]: Simplify (/ -1 1) into -1 2.284 * [backup-simplify]: Simplify (sqrt 0) into 0 2.285 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.285 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) 2.285 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 2.285 * [taylor]: Taking taylor expansion of 1.0 in k 2.285 * [backup-simplify]: Simplify 1.0 into 1.0 2.285 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 2.285 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.285 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.285 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.285 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.285 * [taylor]: Taking taylor expansion of 0.5 in k 2.285 * [backup-simplify]: Simplify 0.5 into 0.5 2.285 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.285 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.285 * [taylor]: Taking taylor expansion of k in k 2.285 * [backup-simplify]: Simplify 0 into 0 2.285 * [backup-simplify]: Simplify 1 into 1 2.286 * [backup-simplify]: Simplify (/ 1 1) into 1 2.286 * [taylor]: Taking taylor expansion of 1.0 in k 2.286 * [backup-simplify]: Simplify 1.0 into 1.0 2.286 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.286 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.286 * [taylor]: Taking taylor expansion of -2.0 in k 2.286 * [backup-simplify]: Simplify -2.0 into -2.0 2.286 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.286 * [taylor]: Taking taylor expansion of PI in k 2.286 * [backup-simplify]: Simplify PI into PI 2.286 * [taylor]: Taking taylor expansion of n in k 2.286 * [backup-simplify]: Simplify n into n 2.286 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 2.286 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 2.286 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 2.286 * [backup-simplify]: Simplify (+ 1 0) into 1 2.286 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 2.287 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 2.287 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 2.287 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.287 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.287 * [taylor]: Taking taylor expansion of -1 in k 2.287 * [backup-simplify]: Simplify -1 into -1 2.287 * [taylor]: Taking taylor expansion of k in k 2.287 * [backup-simplify]: Simplify 0 into 0 2.287 * [backup-simplify]: Simplify 1 into 1 2.287 * [backup-simplify]: Simplify (/ -1 1) into -1 2.287 * [backup-simplify]: Simplify (sqrt 0) into 0 2.288 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.288 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) 2.289 * [backup-simplify]: Simplify (* 1.0 (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) 2.289 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 2.289 * [taylor]: Taking taylor expansion of +nan.0 in n 2.289 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.289 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 2.289 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 2.289 * [taylor]: Taking taylor expansion of 0.5 in n 2.289 * [backup-simplify]: Simplify 0.5 into 0.5 2.289 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 2.289 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.289 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.289 * [taylor]: Taking taylor expansion of k in n 2.289 * [backup-simplify]: Simplify k into k 2.289 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.289 * [taylor]: Taking taylor expansion of 1.0 in n 2.289 * [backup-simplify]: Simplify 1.0 into 1.0 2.289 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.289 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.289 * [taylor]: Taking taylor expansion of -2.0 in n 2.289 * [backup-simplify]: Simplify -2.0 into -2.0 2.289 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.289 * [taylor]: Taking taylor expansion of PI in n 2.289 * [backup-simplify]: Simplify PI into PI 2.289 * [taylor]: Taking taylor expansion of n in n 2.289 * [backup-simplify]: Simplify 0 into 0 2.289 * [backup-simplify]: Simplify 1 into 1 2.289 * [backup-simplify]: Simplify (/ PI 1) into PI 2.290 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.290 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 2.290 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 2.291 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.292 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 2.293 * [backup-simplify]: Simplify (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 2.293 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 2.294 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) 2.295 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) 2.295 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.297 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.298 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) 2.298 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) 2.298 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 2.298 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 2.298 * [taylor]: Taking taylor expansion of +nan.0 in n 2.298 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.298 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 2.298 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 2.298 * [taylor]: Taking taylor expansion of 0.5 in n 2.298 * [backup-simplify]: Simplify 0.5 into 0.5 2.298 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 2.298 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.298 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.299 * [taylor]: Taking taylor expansion of k in n 2.299 * [backup-simplify]: Simplify k into k 2.299 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.299 * [taylor]: Taking taylor expansion of 1.0 in n 2.299 * [backup-simplify]: Simplify 1.0 into 1.0 2.299 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.299 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.299 * [taylor]: Taking taylor expansion of -2.0 in n 2.299 * [backup-simplify]: Simplify -2.0 into -2.0 2.299 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.299 * [taylor]: Taking taylor expansion of PI in n 2.299 * [backup-simplify]: Simplify PI into PI 2.299 * [taylor]: Taking taylor expansion of n in n 2.299 * [backup-simplify]: Simplify 0 into 0 2.299 * [backup-simplify]: Simplify 1 into 1 2.299 * [backup-simplify]: Simplify (/ PI 1) into PI 2.299 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.300 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 2.300 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 2.301 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.302 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 2.302 * [backup-simplify]: Simplify (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 2.303 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 2.304 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) 2.305 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) 2.305 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) 2.306 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.307 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 2.307 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 2.308 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 2.308 * [backup-simplify]: Simplify (+ 0 0) into 0 2.309 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.309 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 2.310 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into 0 2.312 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.313 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into 0 2.313 * [backup-simplify]: Simplify 0 into 0 2.313 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.316 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.317 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) 2.317 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) 2.317 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 2.317 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 2.317 * [taylor]: Taking taylor expansion of +nan.0 in n 2.317 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.317 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 2.317 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 2.317 * [taylor]: Taking taylor expansion of 0.5 in n 2.317 * [backup-simplify]: Simplify 0.5 into 0.5 2.317 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 2.317 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.317 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.317 * [taylor]: Taking taylor expansion of k in n 2.317 * [backup-simplify]: Simplify k into k 2.317 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.317 * [taylor]: Taking taylor expansion of 1.0 in n 2.318 * [backup-simplify]: Simplify 1.0 into 1.0 2.318 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.318 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.318 * [taylor]: Taking taylor expansion of -2.0 in n 2.318 * [backup-simplify]: Simplify -2.0 into -2.0 2.318 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.318 * [taylor]: Taking taylor expansion of PI in n 2.318 * [backup-simplify]: Simplify PI into PI 2.318 * [taylor]: Taking taylor expansion of n in n 2.318 * [backup-simplify]: Simplify 0 into 0 2.318 * [backup-simplify]: Simplify 1 into 1 2.318 * [backup-simplify]: Simplify (/ PI 1) into PI 2.318 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.319 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 2.319 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 2.320 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.321 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 2.321 * [backup-simplify]: Simplify (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 2.322 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 2.323 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) 2.324 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) 2.324 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) 2.327 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (* +nan.0 (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))))))) 2.327 * * * [progress]: simplifying candidates 2.330 * [simplify]: Simplifying: (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) 1) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))))))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))))))) 2.334 * * [simplify]: Extracting # 0 : cost 0 2.334 * * [simplify]: Extracting # 1 : cost 0 2.335 * * [simplify]: Extracting # 2 : cost 0 2.335 * * [simplify]: Extracting # 3 : cost 0 2.336 * * [simplify]: Extracting # 4 : cost 0 2.336 * * [simplify]: Extracting # 5 : cost 0 2.336 * * [simplify]: Extracting # 6 : cost 0 2.337 * * [simplify]: Extracting # 7 : cost 0 2.337 * * [simplify]: Extracting # 8 : cost 0 2.338 * * [simplify]: Extracting # 9 : cost 0 2.338 * * [simplify]: Extracting # 10 : cost 0 2.343 * * [simplify]: Extracting # 11 : cost 0 2.344 * * [simplify]: Extracting # 12 : cost 0 2.344 * * [simplify]: Extracting # 13 : cost 0 2.345 * * [simplify]: Extracting # 14 : cost 0 2.345 * * [simplify]: Extracting # 15 : cost 0 2.346 * * [simplify]: Extracting # 16 : cost 0 2.347 * * [simplify]: Extracting # 17 : cost 0 2.347 * * [simplify]: Extracting # 18 : cost 0 2.348 * * [simplify]: Extracting # 19 : cost 0 2.348 * * [simplify]: Extracting # 20 : cost 0 2.349 * * [simplify]: Extracting # 21 : cost 0 2.349 * * [simplify]: Extracting # 22 : cost 0 2.350 * * [simplify]: Extracting # 23 : cost 0 2.350 * * [simplify]: Extracting # 24 : cost 0 2.351 * * [simplify]: Extracting # 25 : cost 0 2.351 * * [simplify]: Extracting # 26 : cost 0 2.352 * * [simplify]: Extracting # 27 : cost 0 2.353 * * [simplify]: Extracting # 28 : cost 0 2.353 * * [simplify]: Extracting # 29 : cost 0 2.354 * * [simplify]: Extracting # 30 : cost 0 2.354 * * [simplify]: Extracting # 31 : cost 0 2.355 * * [simplify]: Extracting # 32 : cost 0 2.355 * * [simplify]: iteration 0 : 361 enodes (cost 2800 ) 2.468 * * [simplify]: Extracting # 0 : cost 0 2.471 * * [simplify]: Extracting # 1 : cost 0 2.474 * * [simplify]: Extracting # 2 : cost 0 2.476 * * [simplify]: Extracting # 3 : cost 0 2.479 * * [simplify]: Extracting # 4 : cost 0 2.482 * * [simplify]: Extracting # 5 : cost 0 2.485 * * [simplify]: iteration 1 : 1008 enodes (cost 2643 ) 3.250 * * [simplify]: Extracting # 0 : cost 0 3.260 * * [simplify]: Extracting # 1 : cost 0 3.277 * * [simplify]: Extracting # 2 : cost 0 3.289 * * [simplify]: Extracting # 3 : cost 0 3.300 * * [simplify]: Extracting # 4 : cost 0 3.312 * * [simplify]: Extracting # 5 : cost 0 3.324 * * [simplify]: iteration 2 : 4735 enodes (cost 2473 ) 5.085 * * [simplify]: Extracting # 0 : cost 0 5.105 * * [simplify]: Extracting # 1 : cost 0 5.118 * * [simplify]: Extracting # 2 : cost 0 5.130 * * [simplify]: Extracting # 3 : cost 0 5.139 * * [simplify]: iteration done: 5001 enodes (cost 2473 ) 5.140 * [simplify]: Simplified to: (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 (* n PI)) (sqrt (- 1.0 k))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* n PI) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (pow 1.0 3) (* k (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt k))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (pow 1.0 3) (* k (sqrt k))) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3)) (* (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (pow (/ 1.0 (sqrt k)) 3)) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (- (+ (+ (* (* 0.125 (pow k 2)) (+ (* (pow (log (* 2.0 PI)) 2) (pow (* (* 2.0 PI) n) 0.5)) (* (pow (* (* 2.0 PI) n) 0.5) (pow (log n) 2)))) (pow (* (* 2.0 PI) n) 0.5)) (* (* (* 0.25 (pow k 2)) (log (* 2.0 PI))) (* (pow (* (* 2.0 PI) n) 0.5) (log n)))) (* 0.5 (* k (+ (* (pow (* (* 2.0 PI) n) 0.5) (log (* 2.0 PI))) (* (pow (* (* 2.0 PI) n) 0.5) (log n)))))) (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (- (- (* +nan.0 k) (- (* +nan.0 (pow k 2)) +nan.0))) (+ (- (/ +nan.0 k) (/ +nan.0 (pow k 3))) (- (/ +nan.0 (pow k 2)))) (+ (- (/ +nan.0 (pow k 2))) (- (/ +nan.0 k) +nan.0)) (+ (- (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (- (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)))) (+ (- (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)))) (+ (- (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* +nan.0 (- (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))) (+ (* (/ (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) (pow k 3)) (- +nan.0)) (* +nan.0 (- (/ (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) k) (/ (/ (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) k) k)))) (+ (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k))) (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))))) 5.141 * * * [progress]: adding candidates to table 5.823 * * [progress]: iteration 2 / 4 5.823 * * * [progress]: picking best candidate 5.881 * * * * [pick]: Picked # 5.881 * * * [progress]: localizing error 5.918 * * * [progress]: generating rewritten candidates 5.919 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 5.934 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 5.958 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 6.015 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 6.039 * * * [progress]: generating series expansions 6.039 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 6.039 * [backup-simplify]: Simplify (pow n (/ (- 1.0 k) 2.0)) into (pow n (* 0.5 (- 1.0 k))) 6.039 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 6.039 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 6.039 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 6.039 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 6.039 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 6.039 * [taylor]: Taking taylor expansion of 0.5 in k 6.040 * [backup-simplify]: Simplify 0.5 into 0.5 6.040 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 6.040 * [taylor]: Taking taylor expansion of 1.0 in k 6.040 * [backup-simplify]: Simplify 1.0 into 1.0 6.040 * [taylor]: Taking taylor expansion of k in k 6.040 * [backup-simplify]: Simplify 0 into 0 6.040 * [backup-simplify]: Simplify 1 into 1 6.040 * [taylor]: Taking taylor expansion of (log n) in k 6.040 * [taylor]: Taking taylor expansion of n in k 6.040 * [backup-simplify]: Simplify n into n 6.040 * [backup-simplify]: Simplify (log n) into (log n) 6.040 * [backup-simplify]: Simplify (- 0) into 0 6.041 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.041 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 6.041 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 6.041 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 6.041 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 6.041 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 6.042 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 6.042 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 6.042 * [taylor]: Taking taylor expansion of 0.5 in n 6.042 * [backup-simplify]: Simplify 0.5 into 0.5 6.042 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 6.042 * [taylor]: Taking taylor expansion of 1.0 in n 6.042 * [backup-simplify]: Simplify 1.0 into 1.0 6.042 * [taylor]: Taking taylor expansion of k in n 6.042 * [backup-simplify]: Simplify k into k 6.042 * [taylor]: Taking taylor expansion of (log n) in n 6.042 * [taylor]: Taking taylor expansion of n in n 6.042 * [backup-simplify]: Simplify 0 into 0 6.042 * [backup-simplify]: Simplify 1 into 1 6.042 * [backup-simplify]: Simplify (log 1) into 0 6.042 * [backup-simplify]: Simplify (- k) into (- k) 6.042 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 6.042 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 6.043 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 6.043 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 6.043 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 6.043 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 6.043 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 6.043 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 6.043 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 6.043 * [taylor]: Taking taylor expansion of 0.5 in n 6.043 * [backup-simplify]: Simplify 0.5 into 0.5 6.043 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 6.043 * [taylor]: Taking taylor expansion of 1.0 in n 6.043 * [backup-simplify]: Simplify 1.0 into 1.0 6.043 * [taylor]: Taking taylor expansion of k in n 6.043 * [backup-simplify]: Simplify k into k 6.043 * [taylor]: Taking taylor expansion of (log n) in n 6.043 * [taylor]: Taking taylor expansion of n in n 6.044 * [backup-simplify]: Simplify 0 into 0 6.044 * [backup-simplify]: Simplify 1 into 1 6.044 * [backup-simplify]: Simplify (log 1) into 0 6.044 * [backup-simplify]: Simplify (- k) into (- k) 6.044 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 6.044 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 6.045 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 6.045 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 6.045 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 6.045 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 6.045 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 6.045 * [taylor]: Taking taylor expansion of 0.5 in k 6.045 * [backup-simplify]: Simplify 0.5 into 0.5 6.045 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 6.045 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 6.045 * [taylor]: Taking taylor expansion of 1.0 in k 6.045 * [backup-simplify]: Simplify 1.0 into 1.0 6.045 * [taylor]: Taking taylor expansion of k in k 6.045 * [backup-simplify]: Simplify 0 into 0 6.045 * [backup-simplify]: Simplify 1 into 1 6.045 * [taylor]: Taking taylor expansion of (log n) in k 6.045 * [taylor]: Taking taylor expansion of n in k 6.045 * [backup-simplify]: Simplify n into n 6.045 * [backup-simplify]: Simplify (log n) into (log n) 6.046 * [backup-simplify]: Simplify (- 0) into 0 6.046 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.046 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 6.046 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (log n))) into (* 0.5 (log n)) 6.047 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 6.047 * [backup-simplify]: Simplify (pow n 0.5) into (pow n 0.5) 6.048 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.048 * [backup-simplify]: Simplify (- 0) into 0 6.049 * [backup-simplify]: Simplify (+ 0 0) into 0 6.049 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 6.050 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 6.050 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (log n))) into 0 6.051 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 6.051 * [taylor]: Taking taylor expansion of 0 in k 6.051 * [backup-simplify]: Simplify 0 into 0 6.051 * [backup-simplify]: Simplify 0 into 0 6.052 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 6.052 * [backup-simplify]: Simplify (- 1) into -1 6.053 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.053 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (log n))) into (- (log n)) 6.053 * [backup-simplify]: Simplify (+ (* 0.5 (- (log n))) (* 0 (* 1.0 (log n)))) into (- (* 0.5 (log n))) 6.054 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 1) 1)))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 6.054 * [backup-simplify]: Simplify (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 6.057 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 6.057 * [backup-simplify]: Simplify (- 0) into 0 6.058 * [backup-simplify]: Simplify (+ 0 0) into 0 6.059 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 6.059 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 6.060 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 6.061 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.061 * [taylor]: Taking taylor expansion of 0 in k 6.061 * [backup-simplify]: Simplify 0 into 0 6.061 * [backup-simplify]: Simplify 0 into 0 6.061 * [backup-simplify]: Simplify 0 into 0 6.063 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 6.063 * [backup-simplify]: Simplify (- 0) into 0 6.064 * [backup-simplify]: Simplify (+ 0 0) into 0 6.065 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (log n)))) into 0 6.065 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (log n))) (* 0 (* 1.0 (log n))))) into 0 6.066 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 6.067 * [backup-simplify]: Simplify (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 6.068 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) (* k 1)) (pow n 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) 6.068 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) 6.068 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 6.068 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 6.068 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 6.068 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 6.068 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 6.068 * [taylor]: Taking taylor expansion of 0.5 in k 6.068 * [backup-simplify]: Simplify 0.5 into 0.5 6.069 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 6.069 * [taylor]: Taking taylor expansion of 1.0 in k 6.069 * [backup-simplify]: Simplify 1.0 into 1.0 6.069 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.069 * [taylor]: Taking taylor expansion of k in k 6.069 * [backup-simplify]: Simplify 0 into 0 6.069 * [backup-simplify]: Simplify 1 into 1 6.069 * [backup-simplify]: Simplify (/ 1 1) into 1 6.069 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 6.069 * [taylor]: Taking taylor expansion of (/ 1 n) in k 6.069 * [taylor]: Taking taylor expansion of n in k 6.069 * [backup-simplify]: Simplify n into n 6.069 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.069 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 6.070 * [backup-simplify]: Simplify (- 1) into -1 6.070 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.071 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 6.071 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 6.071 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 6.071 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 6.071 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 6.071 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 6.071 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 6.071 * [taylor]: Taking taylor expansion of 0.5 in n 6.071 * [backup-simplify]: Simplify 0.5 into 0.5 6.071 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.071 * [taylor]: Taking taylor expansion of 1.0 in n 6.071 * [backup-simplify]: Simplify 1.0 into 1.0 6.071 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.071 * [taylor]: Taking taylor expansion of k in n 6.071 * [backup-simplify]: Simplify k into k 6.071 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.071 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 6.071 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.071 * [taylor]: Taking taylor expansion of n in n 6.071 * [backup-simplify]: Simplify 0 into 0 6.072 * [backup-simplify]: Simplify 1 into 1 6.072 * [backup-simplify]: Simplify (/ 1 1) into 1 6.072 * [backup-simplify]: Simplify (log 1) into 0 6.072 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 6.072 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 6.073 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 6.073 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 6.073 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 6.073 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 6.074 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 6.074 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 6.074 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 6.074 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 6.074 * [taylor]: Taking taylor expansion of 0.5 in n 6.074 * [backup-simplify]: Simplify 0.5 into 0.5 6.074 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.074 * [taylor]: Taking taylor expansion of 1.0 in n 6.074 * [backup-simplify]: Simplify 1.0 into 1.0 6.074 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.074 * [taylor]: Taking taylor expansion of k in n 6.074 * [backup-simplify]: Simplify k into k 6.074 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.074 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 6.074 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.074 * [taylor]: Taking taylor expansion of n in n 6.074 * [backup-simplify]: Simplify 0 into 0 6.074 * [backup-simplify]: Simplify 1 into 1 6.075 * [backup-simplify]: Simplify (/ 1 1) into 1 6.075 * [backup-simplify]: Simplify (log 1) into 0 6.075 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 6.075 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 6.075 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 6.076 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 6.076 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 6.076 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 6.076 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) in k 6.076 * [taylor]: Taking taylor expansion of (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) in k 6.076 * [taylor]: Taking taylor expansion of -0.5 in k 6.076 * [backup-simplify]: Simplify -0.5 into -0.5 6.076 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 6.076 * [taylor]: Taking taylor expansion of (log n) in k 6.076 * [taylor]: Taking taylor expansion of n in k 6.076 * [backup-simplify]: Simplify n into n 6.077 * [backup-simplify]: Simplify (log n) into (log n) 6.077 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 6.077 * [taylor]: Taking taylor expansion of 1.0 in k 6.077 * [backup-simplify]: Simplify 1.0 into 1.0 6.077 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.077 * [taylor]: Taking taylor expansion of k in k 6.077 * [backup-simplify]: Simplify 0 into 0 6.077 * [backup-simplify]: Simplify 1 into 1 6.077 * [backup-simplify]: Simplify (/ 1 1) into 1 6.077 * [backup-simplify]: Simplify (- 1) into -1 6.078 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.078 * [backup-simplify]: Simplify (* (log n) -1) into (* -1 (log n)) 6.078 * [backup-simplify]: Simplify (* -0.5 (* -1 (log n))) into (* 0.5 (log n)) 6.078 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 6.079 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 6.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.081 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.081 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 6.081 * [backup-simplify]: Simplify (- 0) into 0 6.082 * [backup-simplify]: Simplify (+ 0 0) into 0 6.082 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 6.082 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 6.083 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 6.084 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.084 * [taylor]: Taking taylor expansion of 0 in k 6.084 * [backup-simplify]: Simplify 0 into 0 6.084 * [backup-simplify]: Simplify 0 into 0 6.084 * [backup-simplify]: Simplify 0 into 0 6.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.087 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 6.088 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 6.088 * [backup-simplify]: Simplify (- 0) into 0 6.088 * [backup-simplify]: Simplify (+ 0 0) into 0 6.089 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 6.090 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 6.090 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 6.092 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.092 * [taylor]: Taking taylor expansion of 0 in k 6.092 * [backup-simplify]: Simplify 0 into 0 6.092 * [backup-simplify]: Simplify 0 into 0 6.092 * [backup-simplify]: Simplify 0 into 0 6.092 * [backup-simplify]: Simplify 0 into 0 6.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.099 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 6.099 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 6.100 * [backup-simplify]: Simplify (- 0) into 0 6.100 * [backup-simplify]: Simplify (+ 0 0) into 0 6.101 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 6.102 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 6.103 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 6.104 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.104 * [taylor]: Taking taylor expansion of 0 in k 6.104 * [backup-simplify]: Simplify 0 into 0 6.104 * [backup-simplify]: Simplify 0 into 0 6.105 * [backup-simplify]: Simplify (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) 6.105 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) 6.105 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 6.105 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 6.105 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 6.105 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 6.105 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 6.105 * [taylor]: Taking taylor expansion of 0.5 in k 6.105 * [backup-simplify]: Simplify 0.5 into 0.5 6.106 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 6.106 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.106 * [taylor]: Taking taylor expansion of k in k 6.106 * [backup-simplify]: Simplify 0 into 0 6.106 * [backup-simplify]: Simplify 1 into 1 6.106 * [backup-simplify]: Simplify (/ 1 1) into 1 6.106 * [taylor]: Taking taylor expansion of 1.0 in k 6.106 * [backup-simplify]: Simplify 1.0 into 1.0 6.106 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 6.106 * [taylor]: Taking taylor expansion of (/ -1 n) in k 6.106 * [taylor]: Taking taylor expansion of -1 in k 6.106 * [backup-simplify]: Simplify -1 into -1 6.106 * [taylor]: Taking taylor expansion of n in k 6.106 * [backup-simplify]: Simplify n into n 6.106 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 6.107 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 6.107 * [backup-simplify]: Simplify (+ 1 0) into 1 6.107 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 6.108 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 6.108 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 6.108 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 6.108 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 6.108 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 6.108 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 6.108 * [taylor]: Taking taylor expansion of 0.5 in n 6.108 * [backup-simplify]: Simplify 0.5 into 0.5 6.108 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.108 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.108 * [taylor]: Taking taylor expansion of k in n 6.108 * [backup-simplify]: Simplify k into k 6.108 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.108 * [taylor]: Taking taylor expansion of 1.0 in n 6.108 * [backup-simplify]: Simplify 1.0 into 1.0 6.108 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 6.108 * [taylor]: Taking taylor expansion of (/ -1 n) in n 6.108 * [taylor]: Taking taylor expansion of -1 in n 6.108 * [backup-simplify]: Simplify -1 into -1 6.108 * [taylor]: Taking taylor expansion of n in n 6.108 * [backup-simplify]: Simplify 0 into 0 6.108 * [backup-simplify]: Simplify 1 into 1 6.109 * [backup-simplify]: Simplify (/ -1 1) into -1 6.109 * [backup-simplify]: Simplify (log -1) into (log -1) 6.109 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 6.110 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 6.110 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 6.111 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 6.112 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 6.112 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 6.112 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 6.112 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 6.112 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 6.112 * [taylor]: Taking taylor expansion of 0.5 in n 6.112 * [backup-simplify]: Simplify 0.5 into 0.5 6.112 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.112 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.112 * [taylor]: Taking taylor expansion of k in n 6.112 * [backup-simplify]: Simplify k into k 6.112 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.112 * [taylor]: Taking taylor expansion of 1.0 in n 6.112 * [backup-simplify]: Simplify 1.0 into 1.0 6.112 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 6.112 * [taylor]: Taking taylor expansion of (/ -1 n) in n 6.112 * [taylor]: Taking taylor expansion of -1 in n 6.112 * [backup-simplify]: Simplify -1 into -1 6.112 * [taylor]: Taking taylor expansion of n in n 6.112 * [backup-simplify]: Simplify 0 into 0 6.112 * [backup-simplify]: Simplify 1 into 1 6.113 * [backup-simplify]: Simplify (/ -1 1) into -1 6.113 * [backup-simplify]: Simplify (log -1) into (log -1) 6.113 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 6.113 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 6.114 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 6.115 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 6.115 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 6.115 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 6.115 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 6.115 * [taylor]: Taking taylor expansion of 0.5 in k 6.115 * [backup-simplify]: Simplify 0.5 into 0.5 6.116 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 6.116 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 6.116 * [taylor]: Taking taylor expansion of (log -1) in k 6.116 * [taylor]: Taking taylor expansion of -1 in k 6.116 * [backup-simplify]: Simplify -1 into -1 6.116 * [backup-simplify]: Simplify (log -1) into (log -1) 6.116 * [taylor]: Taking taylor expansion of (log n) in k 6.116 * [taylor]: Taking taylor expansion of n in k 6.116 * [backup-simplify]: Simplify n into n 6.116 * [backup-simplify]: Simplify (log n) into (log n) 6.116 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 6.116 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.116 * [taylor]: Taking taylor expansion of k in k 6.116 * [backup-simplify]: Simplify 0 into 0 6.116 * [backup-simplify]: Simplify 1 into 1 6.117 * [backup-simplify]: Simplify (/ 1 1) into 1 6.117 * [taylor]: Taking taylor expansion of 1.0 in k 6.117 * [backup-simplify]: Simplify 1.0 into 1.0 6.117 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 6.117 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 6.118 * [backup-simplify]: Simplify (+ 1 0) into 1 6.118 * [backup-simplify]: Simplify (* (- (log -1) (log n)) 1) into (- (log -1) (log n)) 6.119 * [backup-simplify]: Simplify (* 0.5 (- (log -1) (log n))) into (* 0.5 (- (log -1) (log n))) 6.119 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 6.120 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 6.121 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.122 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 6.123 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 6.123 * [backup-simplify]: Simplify (+ 0 0) into 0 6.123 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 6.125 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 6.125 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log -1) (log n)))) into 0 6.127 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 6.127 * [taylor]: Taking taylor expansion of 0 in k 6.127 * [backup-simplify]: Simplify 0 into 0 6.127 * [backup-simplify]: Simplify 0 into 0 6.127 * [backup-simplify]: Simplify 0 into 0 6.128 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.131 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 6.131 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 6.131 * [backup-simplify]: Simplify (+ 0 0) into 0 6.132 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 6.133 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 6.134 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 6.136 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.136 * [taylor]: Taking taylor expansion of 0 in k 6.136 * [backup-simplify]: Simplify 0 into 0 6.136 * [backup-simplify]: Simplify 0 into 0 6.136 * [backup-simplify]: Simplify 0 into 0 6.136 * [backup-simplify]: Simplify 0 into 0 6.137 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.142 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 6.143 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 6.143 * [backup-simplify]: Simplify (+ 0 0) into 0 6.144 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 6.144 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 6.145 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 6.151 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.151 * [taylor]: Taking taylor expansion of 0 in k 6.151 * [backup-simplify]: Simplify 0 into 0 6.151 * [backup-simplify]: Simplify 0 into 0 6.151 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) 6.151 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 6.152 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) 6.152 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in (k) around 0 6.152 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 6.152 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 6.152 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 6.152 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 6.152 * [taylor]: Taking taylor expansion of 0.5 in k 6.152 * [backup-simplify]: Simplify 0.5 into 0.5 6.152 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 6.152 * [taylor]: Taking taylor expansion of 1.0 in k 6.152 * [backup-simplify]: Simplify 1.0 into 1.0 6.152 * [taylor]: Taking taylor expansion of k in k 6.152 * [backup-simplify]: Simplify 0 into 0 6.152 * [backup-simplify]: Simplify 1 into 1 6.152 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 6.152 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 6.152 * [taylor]: Taking taylor expansion of 2.0 in k 6.152 * [backup-simplify]: Simplify 2.0 into 2.0 6.152 * [taylor]: Taking taylor expansion of PI in k 6.152 * [backup-simplify]: Simplify PI into PI 6.152 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.153 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.153 * [backup-simplify]: Simplify (- 0) into 0 6.154 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.154 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 6.155 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 6.156 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 6.156 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 6.157 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 6.157 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 6.157 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 6.157 * [taylor]: Taking taylor expansion of 0.5 in k 6.157 * [backup-simplify]: Simplify 0.5 into 0.5 6.157 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 6.157 * [taylor]: Taking taylor expansion of 1.0 in k 6.157 * [backup-simplify]: Simplify 1.0 into 1.0 6.157 * [taylor]: Taking taylor expansion of k in k 6.157 * [backup-simplify]: Simplify 0 into 0 6.157 * [backup-simplify]: Simplify 1 into 1 6.157 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 6.157 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 6.157 * [taylor]: Taking taylor expansion of 2.0 in k 6.157 * [backup-simplify]: Simplify 2.0 into 2.0 6.157 * [taylor]: Taking taylor expansion of PI in k 6.157 * [backup-simplify]: Simplify PI into PI 6.157 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.158 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.158 * [backup-simplify]: Simplify (- 0) into 0 6.158 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.159 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 6.160 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 6.161 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 6.162 * [backup-simplify]: Simplify (pow (* 2.0 PI) 0.5) into (pow (* 2.0 PI) 0.5) 6.162 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 6.163 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 6.164 * [backup-simplify]: Simplify (- 1) into -1 6.164 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.165 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 6.167 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 PI)))) into (- (* 0.5 (log (* 2.0 PI)))) 6.174 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 1) 1)))) into (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 6.179 * [backup-simplify]: Simplify (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) into (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 6.180 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 6.182 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 6.182 * [backup-simplify]: Simplify (- 0) into 0 6.182 * [backup-simplify]: Simplify (+ 0 0) into 0 6.183 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 6.184 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 PI))))) into 0 6.193 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 6.198 * [backup-simplify]: Simplify (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) into (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 6.209 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (pow k 2)) (+ (* (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) k) (pow (* 2.0 PI) 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (pow (* 2.0 PI) 0.5)) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) 6.210 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) 6.210 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 6.210 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 6.210 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 6.210 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 6.210 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 6.210 * [taylor]: Taking taylor expansion of 0.5 in k 6.210 * [backup-simplify]: Simplify 0.5 into 0.5 6.210 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 6.210 * [taylor]: Taking taylor expansion of 1.0 in k 6.210 * [backup-simplify]: Simplify 1.0 into 1.0 6.210 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.210 * [taylor]: Taking taylor expansion of k in k 6.210 * [backup-simplify]: Simplify 0 into 0 6.210 * [backup-simplify]: Simplify 1 into 1 6.210 * [backup-simplify]: Simplify (/ 1 1) into 1 6.211 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 6.211 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 6.211 * [taylor]: Taking taylor expansion of 2.0 in k 6.211 * [backup-simplify]: Simplify 2.0 into 2.0 6.211 * [taylor]: Taking taylor expansion of PI in k 6.211 * [backup-simplify]: Simplify PI into PI 6.211 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.212 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.212 * [backup-simplify]: Simplify (- 1) into -1 6.212 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.213 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 6.214 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 6.214 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 6.214 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 6.214 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 6.214 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 6.215 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 6.215 * [taylor]: Taking taylor expansion of 0.5 in k 6.215 * [backup-simplify]: Simplify 0.5 into 0.5 6.215 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 6.215 * [taylor]: Taking taylor expansion of 1.0 in k 6.215 * [backup-simplify]: Simplify 1.0 into 1.0 6.215 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.215 * [taylor]: Taking taylor expansion of k in k 6.215 * [backup-simplify]: Simplify 0 into 0 6.215 * [backup-simplify]: Simplify 1 into 1 6.215 * [backup-simplify]: Simplify (/ 1 1) into 1 6.215 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 6.215 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 6.215 * [taylor]: Taking taylor expansion of 2.0 in k 6.215 * [backup-simplify]: Simplify 2.0 into 2.0 6.215 * [taylor]: Taking taylor expansion of PI in k 6.215 * [backup-simplify]: Simplify PI into PI 6.215 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.216 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.216 * [backup-simplify]: Simplify (- 1) into -1 6.216 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.217 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 6.218 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 6.218 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 6.219 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 6.219 * [backup-simplify]: Simplify 0 into 0 6.219 * [backup-simplify]: Simplify 0 into 0 6.219 * [backup-simplify]: Simplify 0 into 0 6.219 * [backup-simplify]: Simplify 0 into 0 6.219 * [backup-simplify]: Simplify 0 into 0 6.219 * [backup-simplify]: Simplify 0 into 0 6.220 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) 6.221 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) 6.221 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 6.221 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 6.221 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 6.221 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 6.221 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 6.221 * [taylor]: Taking taylor expansion of 0.5 in k 6.221 * [backup-simplify]: Simplify 0.5 into 0.5 6.221 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 6.221 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.221 * [taylor]: Taking taylor expansion of k in k 6.221 * [backup-simplify]: Simplify 0 into 0 6.221 * [backup-simplify]: Simplify 1 into 1 6.221 * [backup-simplify]: Simplify (/ 1 1) into 1 6.221 * [taylor]: Taking taylor expansion of 1.0 in k 6.221 * [backup-simplify]: Simplify 1.0 into 1.0 6.221 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 6.221 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 6.221 * [taylor]: Taking taylor expansion of 2.0 in k 6.221 * [backup-simplify]: Simplify 2.0 into 2.0 6.221 * [taylor]: Taking taylor expansion of PI in k 6.221 * [backup-simplify]: Simplify PI into PI 6.221 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.222 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.222 * [backup-simplify]: Simplify (+ 1 0) into 1 6.223 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 6.224 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 6.225 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 6.225 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 6.225 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 6.225 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 6.225 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 6.225 * [taylor]: Taking taylor expansion of 0.5 in k 6.225 * [backup-simplify]: Simplify 0.5 into 0.5 6.225 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 6.225 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.225 * [taylor]: Taking taylor expansion of k in k 6.225 * [backup-simplify]: Simplify 0 into 0 6.225 * [backup-simplify]: Simplify 1 into 1 6.225 * [backup-simplify]: Simplify (/ 1 1) into 1 6.225 * [taylor]: Taking taylor expansion of 1.0 in k 6.225 * [backup-simplify]: Simplify 1.0 into 1.0 6.225 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 6.225 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 6.225 * [taylor]: Taking taylor expansion of 2.0 in k 6.225 * [backup-simplify]: Simplify 2.0 into 2.0 6.225 * [taylor]: Taking taylor expansion of PI in k 6.225 * [backup-simplify]: Simplify PI into PI 6.226 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.226 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.227 * [backup-simplify]: Simplify (+ 1 0) into 1 6.227 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 6.228 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 6.229 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 6.229 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 6.229 * [backup-simplify]: Simplify 0 into 0 6.229 * [backup-simplify]: Simplify 0 into 0 6.229 * [backup-simplify]: Simplify 0 into 0 6.229 * [backup-simplify]: Simplify 0 into 0 6.229 * [backup-simplify]: Simplify 0 into 0 6.230 * [backup-simplify]: Simplify 0 into 0 6.230 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) 6.230 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 6.231 * [backup-simplify]: Simplify (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) into (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) 6.231 * [approximate]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in (k n) around 0 6.231 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in n 6.231 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in n 6.231 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in n 6.231 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in n 6.231 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 6.231 * [taylor]: Taking taylor expansion of 0.5 in n 6.231 * [backup-simplify]: Simplify 0.5 into 0.5 6.231 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 6.231 * [taylor]: Taking taylor expansion of 1.0 in n 6.231 * [backup-simplify]: Simplify 1.0 into 1.0 6.231 * [taylor]: Taking taylor expansion of k in n 6.231 * [backup-simplify]: Simplify k into k 6.231 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 6.231 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 6.231 * [taylor]: Taking taylor expansion of 2.0 in n 6.231 * [backup-simplify]: Simplify 2.0 into 2.0 6.231 * [taylor]: Taking taylor expansion of PI in n 6.231 * [backup-simplify]: Simplify PI into PI 6.231 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.232 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.232 * [backup-simplify]: Simplify (- k) into (- k) 6.232 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 6.232 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 6.233 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) into (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))) 6.234 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) into (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) 6.234 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 6.234 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 6.234 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 6.234 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 6.234 * [taylor]: Taking taylor expansion of 0.5 in n 6.234 * [backup-simplify]: Simplify 0.5 into 0.5 6.234 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 6.234 * [taylor]: Taking taylor expansion of 1.0 in n 6.234 * [backup-simplify]: Simplify 1.0 into 1.0 6.234 * [taylor]: Taking taylor expansion of k in n 6.234 * [backup-simplify]: Simplify k into k 6.234 * [taylor]: Taking taylor expansion of (log n) in n 6.234 * [taylor]: Taking taylor expansion of n in n 6.234 * [backup-simplify]: Simplify 0 into 0 6.234 * [backup-simplify]: Simplify 1 into 1 6.234 * [backup-simplify]: Simplify (log 1) into 0 6.234 * [backup-simplify]: Simplify (- k) into (- k) 6.234 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 6.235 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 6.235 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 6.235 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 6.235 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 6.235 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 6.235 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 6.235 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 6.235 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 6.235 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 6.235 * [taylor]: Taking taylor expansion of 0.5 in k 6.235 * [backup-simplify]: Simplify 0.5 into 0.5 6.235 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 6.235 * [taylor]: Taking taylor expansion of 1.0 in k 6.235 * [backup-simplify]: Simplify 1.0 into 1.0 6.235 * [taylor]: Taking taylor expansion of k in k 6.235 * [backup-simplify]: Simplify 0 into 0 6.235 * [backup-simplify]: Simplify 1 into 1 6.235 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 6.235 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 6.235 * [taylor]: Taking taylor expansion of 2.0 in k 6.235 * [backup-simplify]: Simplify 2.0 into 2.0 6.235 * [taylor]: Taking taylor expansion of PI in k 6.235 * [backup-simplify]: Simplify PI into PI 6.236 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.236 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.237 * [backup-simplify]: Simplify (- 0) into 0 6.237 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.237 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 6.238 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 6.243 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 6.243 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 6.243 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 6.244 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 6.244 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 6.244 * [taylor]: Taking taylor expansion of 0.5 in k 6.244 * [backup-simplify]: Simplify 0.5 into 0.5 6.244 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 6.244 * [taylor]: Taking taylor expansion of 1.0 in k 6.244 * [backup-simplify]: Simplify 1.0 into 1.0 6.244 * [taylor]: Taking taylor expansion of k in k 6.244 * [backup-simplify]: Simplify 0 into 0 6.244 * [backup-simplify]: Simplify 1 into 1 6.244 * [taylor]: Taking taylor expansion of (log n) in k 6.244 * [taylor]: Taking taylor expansion of n in k 6.244 * [backup-simplify]: Simplify n into n 6.244 * [backup-simplify]: Simplify (log n) into (log n) 6.244 * [backup-simplify]: Simplify (- 0) into 0 6.244 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.245 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 6.245 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 6.245 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 6.245 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 6.245 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 6.245 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 6.245 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 6.245 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 6.245 * [taylor]: Taking taylor expansion of 0.5 in k 6.245 * [backup-simplify]: Simplify 0.5 into 0.5 6.245 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 6.245 * [taylor]: Taking taylor expansion of 1.0 in k 6.245 * [backup-simplify]: Simplify 1.0 into 1.0 6.245 * [taylor]: Taking taylor expansion of k in k 6.245 * [backup-simplify]: Simplify 0 into 0 6.245 * [backup-simplify]: Simplify 1 into 1 6.245 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 6.245 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 6.245 * [taylor]: Taking taylor expansion of 2.0 in k 6.245 * [backup-simplify]: Simplify 2.0 into 2.0 6.245 * [taylor]: Taking taylor expansion of PI in k 6.245 * [backup-simplify]: Simplify PI into PI 6.246 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.246 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.247 * [backup-simplify]: Simplify (- 0) into 0 6.247 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.247 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 6.248 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 6.250 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 6.250 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 6.250 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 6.250 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 6.250 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 6.250 * [taylor]: Taking taylor expansion of 0.5 in k 6.250 * [backup-simplify]: Simplify 0.5 into 0.5 6.250 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 6.250 * [taylor]: Taking taylor expansion of 1.0 in k 6.250 * [backup-simplify]: Simplify 1.0 into 1.0 6.250 * [taylor]: Taking taylor expansion of k in k 6.250 * [backup-simplify]: Simplify 0 into 0 6.250 * [backup-simplify]: Simplify 1 into 1 6.250 * [taylor]: Taking taylor expansion of (log n) in k 6.250 * [taylor]: Taking taylor expansion of n in k 6.250 * [backup-simplify]: Simplify n into n 6.250 * [backup-simplify]: Simplify (log n) into (log n) 6.250 * [backup-simplify]: Simplify (- 0) into 0 6.251 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.251 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 6.251 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 6.251 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 6.252 * [backup-simplify]: Simplify (* (pow (* 2.0 PI) 0.5) (pow n 0.5)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) 6.252 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 6.252 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 6.252 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 6.252 * [taylor]: Taking taylor expansion of 0.5 in n 6.252 * [backup-simplify]: Simplify 0.5 into 0.5 6.252 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 6.252 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 6.252 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 6.252 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 6.252 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 6.252 * [taylor]: Taking taylor expansion of 1.0 in n 6.252 * [backup-simplify]: Simplify 1.0 into 1.0 6.252 * [taylor]: Taking taylor expansion of (log PI) in n 6.252 * [taylor]: Taking taylor expansion of PI in n 6.252 * [backup-simplify]: Simplify PI into PI 6.252 * [backup-simplify]: Simplify (log PI) into (log PI) 6.253 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 6.254 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 6.254 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 6.254 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 6.254 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 6.254 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 6.254 * [taylor]: Taking taylor expansion of 1.0 in n 6.254 * [backup-simplify]: Simplify 1.0 into 1.0 6.254 * [taylor]: Taking taylor expansion of (log n) in n 6.254 * [taylor]: Taking taylor expansion of n in n 6.254 * [backup-simplify]: Simplify 0 into 0 6.254 * [backup-simplify]: Simplify 1 into 1 6.254 * [backup-simplify]: Simplify (log 1) into 0 6.255 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 6.255 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 6.255 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 6.255 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 6.255 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 6.255 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 6.255 * [taylor]: Taking taylor expansion of 1.0 in n 6.255 * [backup-simplify]: Simplify 1.0 into 1.0 6.255 * [taylor]: Taking taylor expansion of (log 2.0) in n 6.255 * [taylor]: Taking taylor expansion of 2.0 in n 6.255 * [backup-simplify]: Simplify 2.0 into 2.0 6.255 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 6.256 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 6.257 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 6.257 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 6.258 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 6.259 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 6.259 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 6.260 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 6.261 * [backup-simplify]: Simplify (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) into (pow (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5) 6.262 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 6.262 * [backup-simplify]: Simplify (- 1) into -1 6.262 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.263 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 6.264 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log n))) into (- (* 0.5 (log n))) 6.264 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 1) 1)))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 6.265 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 6.266 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 6.266 * [backup-simplify]: Simplify (- 1) into -1 6.266 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.267 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 6.269 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 PI)))) into (- (* 0.5 (log (* 2.0 PI)))) 6.277 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 1) 1)))) into (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 6.282 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 PI) 0.5) (* -0.5 (* (pow (pow n 1.0) 0.5) (log n)))) (* (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (pow n 0.5))) into (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) 6.282 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) in n 6.282 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) in n 6.282 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 6.282 * [taylor]: Taking taylor expansion of 0.5 in n 6.282 * [backup-simplify]: Simplify 0.5 into 0.5 6.282 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 6.282 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 6.282 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 6.282 * [taylor]: Taking taylor expansion of 2.0 in n 6.282 * [backup-simplify]: Simplify 2.0 into 2.0 6.282 * [taylor]: Taking taylor expansion of PI in n 6.282 * [backup-simplify]: Simplify PI into PI 6.283 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.284 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.284 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 6.284 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 6.284 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 6.284 * [taylor]: Taking taylor expansion of 0.5 in n 6.284 * [backup-simplify]: Simplify 0.5 into 0.5 6.284 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 6.284 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 6.284 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 6.284 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 6.284 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 6.284 * [taylor]: Taking taylor expansion of 1.0 in n 6.284 * [backup-simplify]: Simplify 1.0 into 1.0 6.284 * [taylor]: Taking taylor expansion of (log PI) in n 6.284 * [taylor]: Taking taylor expansion of PI in n 6.284 * [backup-simplify]: Simplify PI into PI 6.285 * [backup-simplify]: Simplify (log PI) into (log PI) 6.286 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 6.287 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 6.287 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 6.287 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 6.287 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 6.287 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 6.287 * [taylor]: Taking taylor expansion of 1.0 in n 6.287 * [backup-simplify]: Simplify 1.0 into 1.0 6.287 * [taylor]: Taking taylor expansion of (log n) in n 6.287 * [taylor]: Taking taylor expansion of n in n 6.287 * [backup-simplify]: Simplify 0 into 0 6.287 * [backup-simplify]: Simplify 1 into 1 6.288 * [backup-simplify]: Simplify (log 1) into 0 6.288 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 6.288 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 6.288 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 6.288 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 6.288 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 6.289 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 6.289 * [taylor]: Taking taylor expansion of 1.0 in n 6.289 * [backup-simplify]: Simplify 1.0 into 1.0 6.289 * [taylor]: Taking taylor expansion of (log 2.0) in n 6.289 * [taylor]: Taking taylor expansion of 2.0 in n 6.289 * [backup-simplify]: Simplify 2.0 into 2.0 6.289 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 6.290 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 6.291 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 6.292 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 6.293 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 6.294 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 6.296 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 6.297 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 6.297 * [taylor]: Taking taylor expansion of (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 6.297 * [taylor]: Taking taylor expansion of 0.5 in n 6.297 * [backup-simplify]: Simplify 0.5 into 0.5 6.297 * [taylor]: Taking taylor expansion of (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 6.297 * [taylor]: Taking taylor expansion of (log n) in n 6.297 * [taylor]: Taking taylor expansion of n in n 6.297 * [backup-simplify]: Simplify 0 into 0 6.297 * [backup-simplify]: Simplify 1 into 1 6.298 * [backup-simplify]: Simplify (log 1) into 0 6.298 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 6.298 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 6.298 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 6.298 * [taylor]: Taking taylor expansion of 0.5 in n 6.298 * [backup-simplify]: Simplify 0.5 into 0.5 6.298 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 6.298 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 6.298 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 6.298 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 6.298 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 6.298 * [taylor]: Taking taylor expansion of 1.0 in n 6.298 * [backup-simplify]: Simplify 1.0 into 1.0 6.298 * [taylor]: Taking taylor expansion of (log PI) in n 6.298 * [taylor]: Taking taylor expansion of PI in n 6.298 * [backup-simplify]: Simplify PI into PI 6.299 * [backup-simplify]: Simplify (log PI) into (log PI) 6.299 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 6.300 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 6.300 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 6.300 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 6.300 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 6.300 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 6.300 * [taylor]: Taking taylor expansion of 1.0 in n 6.300 * [backup-simplify]: Simplify 1.0 into 1.0 6.300 * [taylor]: Taking taylor expansion of (log n) in n 6.300 * [taylor]: Taking taylor expansion of n in n 6.300 * [backup-simplify]: Simplify 0 into 0 6.300 * [backup-simplify]: Simplify 1 into 1 6.301 * [backup-simplify]: Simplify (log 1) into 0 6.301 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 6.301 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 6.301 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 6.301 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 6.301 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 6.301 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 6.301 * [taylor]: Taking taylor expansion of 1.0 in n 6.301 * [backup-simplify]: Simplify 1.0 into 1.0 6.301 * [taylor]: Taking taylor expansion of (log 2.0) in n 6.301 * [taylor]: Taking taylor expansion of 2.0 in n 6.301 * [backup-simplify]: Simplify 2.0 into 2.0 6.301 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 6.302 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 6.303 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 6.303 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 6.304 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 6.305 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 6.306 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 6.306 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 6.308 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 6.309 * [backup-simplify]: Simplify (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) into (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 6.310 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 6.311 * [backup-simplify]: Simplify (* (log n) (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)) 6.311 * [backup-simplify]: Simplify (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) into (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 6.314 * [backup-simplify]: Simplify (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) into (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) 6.316 * [backup-simplify]: Simplify (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) into (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) 6.319 * [backup-simplify]: Simplify (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) into (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) 6.320 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 6.320 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 6.321 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 6.322 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.322 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 6.322 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0 6.323 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 6.323 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 6.324 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 6.325 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 6.326 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 6.327 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0))) into 0 6.328 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1)))) 1) into 0 6.330 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)))) into 0 6.332 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 6.332 * [backup-simplify]: Simplify 0 into 0 6.334 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 6.334 * [backup-simplify]: Simplify (- 0) into 0 6.334 * [backup-simplify]: Simplify (+ 0 0) into 0 6.335 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 6.336 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log n)))) into 0 6.337 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 6.337 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 6.339 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 6.339 * [backup-simplify]: Simplify (- 0) into 0 6.340 * [backup-simplify]: Simplify (+ 0 0) into 0 6.344 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 6.345 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 PI))))) into 0 6.354 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 6.364 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 PI) 0.5) (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2)))) (+ (* (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (* -0.5 (* (pow (pow n 1.0) 0.5) (log n)))) (* (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (pow n 0.5)))) into (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) 6.364 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) in n 6.364 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 6.364 * [taylor]: Taking taylor expansion of 0.125 in n 6.364 * [backup-simplify]: Simplify 0.125 into 0.125 6.364 * [taylor]: Taking taylor expansion of (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 6.364 * [taylor]: Taking taylor expansion of (pow (log n) 2) in n 6.364 * [taylor]: Taking taylor expansion of (log n) in n 6.364 * [taylor]: Taking taylor expansion of n in n 6.364 * [backup-simplify]: Simplify 0 into 0 6.364 * [backup-simplify]: Simplify 1 into 1 6.365 * [backup-simplify]: Simplify (log 1) into 0 6.365 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 6.365 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 6.365 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 6.365 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 6.365 * [taylor]: Taking taylor expansion of 0.5 in n 6.365 * [backup-simplify]: Simplify 0.5 into 0.5 6.365 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 6.365 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 6.365 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 6.365 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 6.365 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 6.365 * [taylor]: Taking taylor expansion of 1.0 in n 6.365 * [backup-simplify]: Simplify 1.0 into 1.0 6.365 * [taylor]: Taking taylor expansion of (log PI) in n 6.365 * [taylor]: Taking taylor expansion of PI in n 6.365 * [backup-simplify]: Simplify PI into PI 6.365 * [backup-simplify]: Simplify (log PI) into (log PI) 6.366 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 6.367 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 6.367 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 6.367 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 6.367 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 6.367 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 6.367 * [taylor]: Taking taylor expansion of 1.0 in n 6.367 * [backup-simplify]: Simplify 1.0 into 1.0 6.367 * [taylor]: Taking taylor expansion of (log n) in n 6.367 * [taylor]: Taking taylor expansion of n in n 6.367 * [backup-simplify]: Simplify 0 into 0 6.367 * [backup-simplify]: Simplify 1 into 1 6.367 * [backup-simplify]: Simplify (log 1) into 0 6.368 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 6.368 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 6.368 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 6.368 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 6.368 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 6.368 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 6.368 * [taylor]: Taking taylor expansion of 1.0 in n 6.368 * [backup-simplify]: Simplify 1.0 into 1.0 6.368 * [taylor]: Taking taylor expansion of (log 2.0) in n 6.368 * [taylor]: Taking taylor expansion of 2.0 in n 6.368 * [backup-simplify]: Simplify 2.0 into 2.0 6.368 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 6.369 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 6.370 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 6.370 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 6.371 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 6.372 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 6.372 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 6.373 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 6.373 * [taylor]: Taking taylor expansion of (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) in n 6.373 * [taylor]: Taking taylor expansion of (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) in n 6.373 * [taylor]: Taking taylor expansion of 0.25 in n 6.373 * [backup-simplify]: Simplify 0.25 into 0.25 6.373 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)) in n 6.373 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (log n)) in n 6.374 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 6.374 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 6.374 * [taylor]: Taking taylor expansion of 2.0 in n 6.374 * [backup-simplify]: Simplify 2.0 into 2.0 6.374 * [taylor]: Taking taylor expansion of PI in n 6.374 * [backup-simplify]: Simplify PI into PI 6.374 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.375 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.375 * [taylor]: Taking taylor expansion of (log n) in n 6.375 * [taylor]: Taking taylor expansion of n in n 6.375 * [backup-simplify]: Simplify 0 into 0 6.375 * [backup-simplify]: Simplify 1 into 1 6.375 * [backup-simplify]: Simplify (log 1) into 0 6.375 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) in n 6.375 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))))) in n 6.375 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))))) in n 6.375 * [taylor]: Taking taylor expansion of 0.5 in n 6.375 * [backup-simplify]: Simplify 0.5 into 0.5 6.375 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) in n 6.375 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) in n 6.375 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 6.375 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 6.375 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 6.375 * [taylor]: Taking taylor expansion of 1.0 in n 6.375 * [backup-simplify]: Simplify 1.0 into 1.0 6.375 * [taylor]: Taking taylor expansion of (log PI) in n 6.375 * [taylor]: Taking taylor expansion of PI in n 6.375 * [backup-simplify]: Simplify PI into PI 6.375 * [backup-simplify]: Simplify (log PI) into (log PI) 6.376 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 6.377 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 6.377 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow n 1.0)) in n 6.377 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 6.377 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 6.377 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 6.377 * [taylor]: Taking taylor expansion of 1.0 in n 6.377 * [backup-simplify]: Simplify 1.0 into 1.0 6.377 * [taylor]: Taking taylor expansion of (log 2.0) in n 6.377 * [taylor]: Taking taylor expansion of 2.0 in n 6.377 * [backup-simplify]: Simplify 2.0 into 2.0 6.377 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 6.378 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 6.379 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 6.379 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 6.379 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 6.379 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 6.379 * [taylor]: Taking taylor expansion of 1.0 in n 6.379 * [backup-simplify]: Simplify 1.0 into 1.0 6.379 * [taylor]: Taking taylor expansion of (log n) in n 6.379 * [taylor]: Taking taylor expansion of n in n 6.379 * [backup-simplify]: Simplify 0 into 0 6.379 * [backup-simplify]: Simplify 1 into 1 6.379 * [backup-simplify]: Simplify (log 1) into 0 6.380 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 6.380 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 6.380 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 6.380 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 6.381 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 6.382 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 6.382 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 6.383 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 6.383 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 6.383 * [taylor]: Taking taylor expansion of 0.125 in n 6.383 * [backup-simplify]: Simplify 0.125 into 0.125 6.383 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 6.383 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 PI)) 2) in n 6.383 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 6.383 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 6.383 * [taylor]: Taking taylor expansion of 2.0 in n 6.383 * [backup-simplify]: Simplify 2.0 into 2.0 6.383 * [taylor]: Taking taylor expansion of PI in n 6.384 * [backup-simplify]: Simplify PI into PI 6.384 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.384 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.384 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 6.384 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 6.385 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 6.385 * [taylor]: Taking taylor expansion of 0.5 in n 6.385 * [backup-simplify]: Simplify 0.5 into 0.5 6.385 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 6.385 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 6.385 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 6.385 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 6.385 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 6.385 * [taylor]: Taking taylor expansion of 1.0 in n 6.385 * [backup-simplify]: Simplify 1.0 into 1.0 6.385 * [taylor]: Taking taylor expansion of (log PI) in n 6.385 * [taylor]: Taking taylor expansion of PI in n 6.385 * [backup-simplify]: Simplify PI into PI 6.385 * [backup-simplify]: Simplify (log PI) into (log PI) 6.386 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 6.387 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 6.387 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 6.387 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 6.387 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 6.387 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 6.387 * [taylor]: Taking taylor expansion of 1.0 in n 6.387 * [backup-simplify]: Simplify 1.0 into 1.0 6.387 * [taylor]: Taking taylor expansion of (log n) in n 6.387 * [taylor]: Taking taylor expansion of n in n 6.387 * [backup-simplify]: Simplify 0 into 0 6.387 * [backup-simplify]: Simplify 1 into 1 6.387 * [backup-simplify]: Simplify (log 1) into 0 6.388 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 6.388 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 6.388 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 6.388 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 6.388 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 6.388 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 6.388 * [taylor]: Taking taylor expansion of 1.0 in n 6.388 * [backup-simplify]: Simplify 1.0 into 1.0 6.388 * [taylor]: Taking taylor expansion of (log 2.0) in n 6.388 * [taylor]: Taking taylor expansion of 2.0 in n 6.388 * [backup-simplify]: Simplify 2.0 into 2.0 6.388 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 6.389 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 6.390 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 6.390 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 6.391 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 6.392 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 6.392 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 6.393 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 6.394 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 6.394 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 6.394 * [backup-simplify]: Simplify (* (log n) (log n)) into (pow (log n) 2) 6.395 * [backup-simplify]: Simplify (* (pow (log n) 2) (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2)) 6.396 * [backup-simplify]: Simplify (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) into (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 6.396 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 6.397 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (log n)) into (* (log (* 2.0 PI)) (log n)) 6.398 * [backup-simplify]: Simplify (* (* (log (* 2.0 PI)) (log n)) (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)) 6.401 * [backup-simplify]: Simplify (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) into (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) 6.404 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (log (* 2.0 PI))) into (pow (log (* 2.0 PI)) 2) 6.407 * [backup-simplify]: Simplify (* (pow (log (* 2.0 PI)) 2) (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 6.410 * [backup-simplify]: Simplify (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) into (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 6.416 * [backup-simplify]: Simplify (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) into (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) 6.424 * [backup-simplify]: Simplify (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) into (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))) 6.432 * [backup-simplify]: Simplify (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))) into (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))) 6.445 * [backup-simplify]: Simplify (+ (* (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))) (pow (* 1 k) 2)) (+ (* (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) (* 1 k)) (pow (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (pow (pow (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5)))) (+ (* 0.5 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) 6.446 * [backup-simplify]: Simplify (* (pow (* 2.0 PI) (/ (- 1.0 (/ 1 k)) 2.0)) (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0))) into (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) 6.446 * [approximate]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in (k n) around 0 6.446 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in n 6.446 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 6.446 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 6.446 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 6.446 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 6.446 * [taylor]: Taking taylor expansion of 0.5 in n 6.446 * [backup-simplify]: Simplify 0.5 into 0.5 6.446 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.446 * [taylor]: Taking taylor expansion of 1.0 in n 6.446 * [backup-simplify]: Simplify 1.0 into 1.0 6.446 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.446 * [taylor]: Taking taylor expansion of k in n 6.446 * [backup-simplify]: Simplify k into k 6.446 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.446 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 6.446 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.446 * [taylor]: Taking taylor expansion of n in n 6.446 * [backup-simplify]: Simplify 0 into 0 6.446 * [backup-simplify]: Simplify 1 into 1 6.447 * [backup-simplify]: Simplify (/ 1 1) into 1 6.447 * [backup-simplify]: Simplify (log 1) into 0 6.447 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 6.447 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 6.447 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 6.447 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 6.448 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 6.448 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 6.448 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in n 6.448 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in n 6.448 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in n 6.448 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 6.448 * [taylor]: Taking taylor expansion of 0.5 in n 6.448 * [backup-simplify]: Simplify 0.5 into 0.5 6.448 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.448 * [taylor]: Taking taylor expansion of 1.0 in n 6.448 * [backup-simplify]: Simplify 1.0 into 1.0 6.448 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.448 * [taylor]: Taking taylor expansion of k in n 6.448 * [backup-simplify]: Simplify k into k 6.448 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.448 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 6.448 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 6.448 * [taylor]: Taking taylor expansion of 2.0 in n 6.448 * [backup-simplify]: Simplify 2.0 into 2.0 6.448 * [taylor]: Taking taylor expansion of PI in n 6.448 * [backup-simplify]: Simplify PI into PI 6.448 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.449 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.449 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 6.449 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 6.449 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 6.450 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) into (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) 6.451 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 6.451 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 6.451 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 6.451 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 6.451 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 6.451 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 6.451 * [taylor]: Taking taylor expansion of 0.5 in k 6.451 * [backup-simplify]: Simplify 0.5 into 0.5 6.451 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 6.451 * [taylor]: Taking taylor expansion of 1.0 in k 6.451 * [backup-simplify]: Simplify 1.0 into 1.0 6.451 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.451 * [taylor]: Taking taylor expansion of k in k 6.451 * [backup-simplify]: Simplify 0 into 0 6.451 * [backup-simplify]: Simplify 1 into 1 6.451 * [backup-simplify]: Simplify (/ 1 1) into 1 6.451 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 6.451 * [taylor]: Taking taylor expansion of (/ 1 n) in k 6.451 * [taylor]: Taking taylor expansion of n in k 6.451 * [backup-simplify]: Simplify n into n 6.451 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.451 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 6.455 * [backup-simplify]: Simplify (- 1) into -1 6.456 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.456 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 6.456 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 6.456 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 6.456 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 6.456 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 6.456 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 6.456 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 6.456 * [taylor]: Taking taylor expansion of 0.5 in k 6.456 * [backup-simplify]: Simplify 0.5 into 0.5 6.456 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 6.456 * [taylor]: Taking taylor expansion of 1.0 in k 6.456 * [backup-simplify]: Simplify 1.0 into 1.0 6.456 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.456 * [taylor]: Taking taylor expansion of k in k 6.456 * [backup-simplify]: Simplify 0 into 0 6.456 * [backup-simplify]: Simplify 1 into 1 6.457 * [backup-simplify]: Simplify (/ 1 1) into 1 6.457 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 6.457 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 6.457 * [taylor]: Taking taylor expansion of 2.0 in k 6.457 * [backup-simplify]: Simplify 2.0 into 2.0 6.457 * [taylor]: Taking taylor expansion of PI in k 6.457 * [backup-simplify]: Simplify PI into PI 6.457 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.458 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.458 * [backup-simplify]: Simplify (- 1) into -1 6.458 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.458 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 6.459 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 6.460 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 6.460 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 6.460 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 6.460 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 6.460 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 6.460 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 6.460 * [taylor]: Taking taylor expansion of 0.5 in k 6.460 * [backup-simplify]: Simplify 0.5 into 0.5 6.460 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 6.460 * [taylor]: Taking taylor expansion of 1.0 in k 6.460 * [backup-simplify]: Simplify 1.0 into 1.0 6.460 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.460 * [taylor]: Taking taylor expansion of k in k 6.460 * [backup-simplify]: Simplify 0 into 0 6.460 * [backup-simplify]: Simplify 1 into 1 6.461 * [backup-simplify]: Simplify (/ 1 1) into 1 6.461 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 6.461 * [taylor]: Taking taylor expansion of (/ 1 n) in k 6.461 * [taylor]: Taking taylor expansion of n in k 6.461 * [backup-simplify]: Simplify n into n 6.461 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.461 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 6.461 * [backup-simplify]: Simplify (- 1) into -1 6.461 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.462 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 6.462 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 6.462 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 6.462 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 6.462 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 6.462 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 6.462 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 6.462 * [taylor]: Taking taylor expansion of 0.5 in k 6.462 * [backup-simplify]: Simplify 0.5 into 0.5 6.462 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 6.462 * [taylor]: Taking taylor expansion of 1.0 in k 6.462 * [backup-simplify]: Simplify 1.0 into 1.0 6.462 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.462 * [taylor]: Taking taylor expansion of k in k 6.462 * [backup-simplify]: Simplify 0 into 0 6.462 * [backup-simplify]: Simplify 1 into 1 6.462 * [backup-simplify]: Simplify (/ 1 1) into 1 6.462 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 6.462 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 6.462 * [taylor]: Taking taylor expansion of 2.0 in k 6.462 * [backup-simplify]: Simplify 2.0 into 2.0 6.462 * [taylor]: Taking taylor expansion of PI in k 6.462 * [backup-simplify]: Simplify PI into PI 6.463 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.463 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.464 * [backup-simplify]: Simplify (- 1) into -1 6.464 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.464 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 6.465 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 6.466 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 6.467 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) into (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) 6.467 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) in n 6.467 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 6.467 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 6.467 * [taylor]: Taking taylor expansion of 0.5 in n 6.467 * [backup-simplify]: Simplify 0.5 into 0.5 6.467 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 6.467 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 6.467 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.467 * [taylor]: Taking taylor expansion of n in n 6.467 * [backup-simplify]: Simplify 0 into 0 6.467 * [backup-simplify]: Simplify 1 into 1 6.467 * [backup-simplify]: Simplify (/ 1 1) into 1 6.468 * [backup-simplify]: Simplify (log 1) into 0 6.468 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.468 * [taylor]: Taking taylor expansion of 1.0 in n 6.468 * [backup-simplify]: Simplify 1.0 into 1.0 6.468 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.468 * [taylor]: Taking taylor expansion of k in n 6.468 * [backup-simplify]: Simplify k into k 6.468 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.468 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 6.468 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 6.468 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 6.468 * [backup-simplify]: Simplify (* (- (log n)) (- 1.0 (/ 1 k))) into (* -1 (* (log n) (- 1.0 (/ 1 k)))) 6.468 * [backup-simplify]: Simplify (* 0.5 (* -1 (* (log n) (- 1.0 (/ 1 k))))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 6.468 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 6.468 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 6.469 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 6.469 * [taylor]: Taking taylor expansion of 0.5 in n 6.469 * [backup-simplify]: Simplify 0.5 into 0.5 6.469 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 6.469 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 6.469 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 6.469 * [taylor]: Taking taylor expansion of 2.0 in n 6.469 * [backup-simplify]: Simplify 2.0 into 2.0 6.469 * [taylor]: Taking taylor expansion of PI in n 6.469 * [backup-simplify]: Simplify PI into PI 6.469 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.470 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.470 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.470 * [taylor]: Taking taylor expansion of 1.0 in n 6.470 * [backup-simplify]: Simplify 1.0 into 1.0 6.470 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.470 * [taylor]: Taking taylor expansion of k in n 6.470 * [backup-simplify]: Simplify k into k 6.470 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.470 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 6.470 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 6.471 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) into (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) 6.472 * [backup-simplify]: Simplify (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) 6.473 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 6.475 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) into (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k)))))) 6.476 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k)))))) into (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k)))))) 6.477 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into 0 6.477 * [taylor]: Taking taylor expansion of 0 in n 6.477 * [backup-simplify]: Simplify 0 into 0 6.477 * [backup-simplify]: Simplify 0 into 0 6.477 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 6.477 * [backup-simplify]: Simplify (- 0) into 0 6.478 * [backup-simplify]: Simplify (+ 0 0) into 0 6.478 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 6.479 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 6.480 * [backup-simplify]: Simplify (+ (* (log (* 2.0 PI)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 6.481 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into 0 6.482 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.482 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 6.482 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 6.482 * [backup-simplify]: Simplify (- 0) into 0 6.483 * [backup-simplify]: Simplify (+ 0 0) into 0 6.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.484 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.484 * [backup-simplify]: Simplify (+ (* (- (log n)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 6.484 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* -1 (* (log n) (- 1.0 (/ 1 k)))))) into 0 6.485 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.486 * [backup-simplify]: Simplify (+ (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into 0 6.486 * [backup-simplify]: Simplify 0 into 0 6.487 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) into 0 6.487 * [taylor]: Taking taylor expansion of 0 in n 6.487 * [backup-simplify]: Simplify 0 into 0 6.487 * [backup-simplify]: Simplify 0 into 0 6.487 * [backup-simplify]: Simplify 0 into 0 6.487 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 6.488 * [backup-simplify]: Simplify (- 0) into 0 6.488 * [backup-simplify]: Simplify (+ 0 0) into 0 6.488 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 6.490 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 6.491 * [backup-simplify]: Simplify (+ (* (log (* 2.0 PI)) 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 6.492 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) into 0 6.494 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.494 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 6.494 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 6.494 * [backup-simplify]: Simplify (- 0) into 0 6.494 * [backup-simplify]: Simplify (+ 0 0) into 0 6.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.497 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 6.497 * [backup-simplify]: Simplify (+ (* (- (log n)) 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 6.498 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* -1 (* (log n) (- 1.0 (/ 1 k))))))) into 0 6.498 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.500 * [backup-simplify]: Simplify (+ (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) into 0 6.500 * [backup-simplify]: Simplify 0 into 0 6.501 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))))) into 0 6.501 * [taylor]: Taking taylor expansion of 0 in n 6.501 * [backup-simplify]: Simplify 0 into 0 6.501 * [backup-simplify]: Simplify 0 into 0 6.503 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))) (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k))))))) into (* (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))) 6.503 * [backup-simplify]: Simplify (* (pow (* 2.0 PI) (/ (- 1.0 (/ 1 (- k))) 2.0)) (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0))) into (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) 6.503 * [approximate]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in (k n) around 0 6.503 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in n 6.503 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 6.503 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 6.503 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 6.504 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 6.504 * [taylor]: Taking taylor expansion of 0.5 in n 6.504 * [backup-simplify]: Simplify 0.5 into 0.5 6.504 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.504 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.504 * [taylor]: Taking taylor expansion of k in n 6.504 * [backup-simplify]: Simplify k into k 6.504 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.504 * [taylor]: Taking taylor expansion of 1.0 in n 6.504 * [backup-simplify]: Simplify 1.0 into 1.0 6.504 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 6.504 * [taylor]: Taking taylor expansion of (/ -1 n) in n 6.504 * [taylor]: Taking taylor expansion of -1 in n 6.504 * [backup-simplify]: Simplify -1 into -1 6.504 * [taylor]: Taking taylor expansion of n in n 6.504 * [backup-simplify]: Simplify 0 into 0 6.504 * [backup-simplify]: Simplify 1 into 1 6.504 * [backup-simplify]: Simplify (/ -1 1) into -1 6.504 * [backup-simplify]: Simplify (log -1) into (log -1) 6.505 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 6.505 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 6.505 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 6.506 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 6.506 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 6.506 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in n 6.506 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in n 6.506 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in n 6.506 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 6.506 * [taylor]: Taking taylor expansion of 0.5 in n 6.506 * [backup-simplify]: Simplify 0.5 into 0.5 6.506 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.506 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.506 * [taylor]: Taking taylor expansion of k in n 6.506 * [backup-simplify]: Simplify k into k 6.506 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.506 * [taylor]: Taking taylor expansion of 1.0 in n 6.506 * [backup-simplify]: Simplify 1.0 into 1.0 6.506 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 6.506 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 6.506 * [taylor]: Taking taylor expansion of 2.0 in n 6.506 * [backup-simplify]: Simplify 2.0 into 2.0 6.506 * [taylor]: Taking taylor expansion of PI in n 6.507 * [backup-simplify]: Simplify PI into PI 6.507 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.508 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.508 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 6.508 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 6.509 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) into (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) 6.511 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 6.511 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in k 6.511 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 6.511 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 6.511 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 6.511 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 6.511 * [taylor]: Taking taylor expansion of 0.5 in k 6.511 * [backup-simplify]: Simplify 0.5 into 0.5 6.511 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 6.511 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.511 * [taylor]: Taking taylor expansion of k in k 6.511 * [backup-simplify]: Simplify 0 into 0 6.511 * [backup-simplify]: Simplify 1 into 1 6.512 * [backup-simplify]: Simplify (/ 1 1) into 1 6.512 * [taylor]: Taking taylor expansion of 1.0 in k 6.512 * [backup-simplify]: Simplify 1.0 into 1.0 6.512 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 6.512 * [taylor]: Taking taylor expansion of (/ -1 n) in k 6.512 * [taylor]: Taking taylor expansion of -1 in k 6.512 * [backup-simplify]: Simplify -1 into -1 6.512 * [taylor]: Taking taylor expansion of n in k 6.512 * [backup-simplify]: Simplify n into n 6.512 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 6.512 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 6.512 * [backup-simplify]: Simplify (+ 1 0) into 1 6.513 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 6.513 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 6.513 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 6.513 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 6.513 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 6.513 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 6.513 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 6.513 * [taylor]: Taking taylor expansion of 0.5 in k 6.513 * [backup-simplify]: Simplify 0.5 into 0.5 6.513 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 6.514 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.514 * [taylor]: Taking taylor expansion of k in k 6.514 * [backup-simplify]: Simplify 0 into 0 6.514 * [backup-simplify]: Simplify 1 into 1 6.514 * [backup-simplify]: Simplify (/ 1 1) into 1 6.514 * [taylor]: Taking taylor expansion of 1.0 in k 6.514 * [backup-simplify]: Simplify 1.0 into 1.0 6.514 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 6.514 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 6.514 * [taylor]: Taking taylor expansion of 2.0 in k 6.514 * [backup-simplify]: Simplify 2.0 into 2.0 6.514 * [taylor]: Taking taylor expansion of PI in k 6.514 * [backup-simplify]: Simplify PI into PI 6.515 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.516 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.516 * [backup-simplify]: Simplify (+ 1 0) into 1 6.516 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 6.517 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 6.518 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 6.518 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in k 6.518 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 6.518 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 6.518 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 6.518 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 6.518 * [taylor]: Taking taylor expansion of 0.5 in k 6.518 * [backup-simplify]: Simplify 0.5 into 0.5 6.518 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 6.518 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.518 * [taylor]: Taking taylor expansion of k in k 6.518 * [backup-simplify]: Simplify 0 into 0 6.518 * [backup-simplify]: Simplify 1 into 1 6.519 * [backup-simplify]: Simplify (/ 1 1) into 1 6.519 * [taylor]: Taking taylor expansion of 1.0 in k 6.519 * [backup-simplify]: Simplify 1.0 into 1.0 6.519 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 6.519 * [taylor]: Taking taylor expansion of (/ -1 n) in k 6.519 * [taylor]: Taking taylor expansion of -1 in k 6.519 * [backup-simplify]: Simplify -1 into -1 6.519 * [taylor]: Taking taylor expansion of n in k 6.519 * [backup-simplify]: Simplify n into n 6.519 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 6.519 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 6.519 * [backup-simplify]: Simplify (+ 1 0) into 1 6.519 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 6.520 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 6.520 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 6.520 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 6.520 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 6.520 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 6.520 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 6.520 * [taylor]: Taking taylor expansion of 0.5 in k 6.520 * [backup-simplify]: Simplify 0.5 into 0.5 6.520 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 6.520 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.520 * [taylor]: Taking taylor expansion of k in k 6.520 * [backup-simplify]: Simplify 0 into 0 6.520 * [backup-simplify]: Simplify 1 into 1 6.520 * [backup-simplify]: Simplify (/ 1 1) into 1 6.520 * [taylor]: Taking taylor expansion of 1.0 in k 6.520 * [backup-simplify]: Simplify 1.0 into 1.0 6.520 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 6.520 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 6.520 * [taylor]: Taking taylor expansion of 2.0 in k 6.520 * [backup-simplify]: Simplify 2.0 into 2.0 6.520 * [taylor]: Taking taylor expansion of PI in k 6.520 * [backup-simplify]: Simplify PI into PI 6.521 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.521 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.521 * [backup-simplify]: Simplify (+ 1 0) into 1 6.522 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 6.523 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 6.523 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 6.524 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) 6.524 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) in n 6.524 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 6.524 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 6.525 * [taylor]: Taking taylor expansion of 0.5 in n 6.525 * [backup-simplify]: Simplify 0.5 into 0.5 6.525 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 6.525 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.525 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.525 * [taylor]: Taking taylor expansion of k in n 6.525 * [backup-simplify]: Simplify k into k 6.525 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.525 * [taylor]: Taking taylor expansion of 1.0 in n 6.525 * [backup-simplify]: Simplify 1.0 into 1.0 6.525 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 6.525 * [taylor]: Taking taylor expansion of (/ -1 n) in n 6.525 * [taylor]: Taking taylor expansion of -1 in n 6.525 * [backup-simplify]: Simplify -1 into -1 6.525 * [taylor]: Taking taylor expansion of n in n 6.525 * [backup-simplify]: Simplify 0 into 0 6.525 * [backup-simplify]: Simplify 1 into 1 6.525 * [backup-simplify]: Simplify (/ -1 1) into -1 6.525 * [backup-simplify]: Simplify (log -1) into (log -1) 6.525 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 6.526 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 6.526 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log -1) (log n))) into (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) 6.527 * [backup-simplify]: Simplify (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 6.527 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 6.527 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) in n 6.527 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) in n 6.527 * [taylor]: Taking taylor expansion of 0.5 in n 6.527 * [backup-simplify]: Simplify 0.5 into 0.5 6.527 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) in n 6.527 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 6.527 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 6.527 * [taylor]: Taking taylor expansion of 2.0 in n 6.527 * [backup-simplify]: Simplify 2.0 into 2.0 6.527 * [taylor]: Taking taylor expansion of PI in n 6.527 * [backup-simplify]: Simplify PI into PI 6.527 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.528 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.528 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.528 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.528 * [taylor]: Taking taylor expansion of k in n 6.528 * [backup-simplify]: Simplify k into k 6.528 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.528 * [taylor]: Taking taylor expansion of 1.0 in n 6.528 * [backup-simplify]: Simplify 1.0 into 1.0 6.528 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 6.529 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) into (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) 6.530 * [backup-simplify]: Simplify (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) 6.530 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 6.531 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) 6.532 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) into (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) 6.533 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into 0 6.533 * [taylor]: Taking taylor expansion of 0 in n 6.533 * [backup-simplify]: Simplify 0 into 0 6.533 * [backup-simplify]: Simplify 0 into 0 6.534 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 6.534 * [backup-simplify]: Simplify (+ 0 0) into 0 6.534 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 6.535 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 6.536 * [backup-simplify]: Simplify (+ (* (log (* 2.0 PI)) 0) (* 0 (+ (/ 1 k) 1.0))) into 0 6.537 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into 0 6.538 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 6.539 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.540 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 6.540 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 6.540 * [backup-simplify]: Simplify (+ 0 0) into 0 6.540 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 6.541 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (* 0 (- (log -1) (log n)))) into 0 6.541 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into 0 6.542 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 6.544 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into 0 6.544 * [backup-simplify]: Simplify 0 into 0 6.546 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) into 0 6.546 * [taylor]: Taking taylor expansion of 0 in n 6.546 * [backup-simplify]: Simplify 0 into 0 6.546 * [backup-simplify]: Simplify 0 into 0 6.546 * [backup-simplify]: Simplify 0 into 0 6.547 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 6.547 * [backup-simplify]: Simplify (+ 0 0) into 0 6.548 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 6.552 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 6.553 * [backup-simplify]: Simplify (+ (* (log (* 2.0 PI)) 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 6.555 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into 0 6.558 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.559 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.567 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 6.568 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 6.568 * [backup-simplify]: Simplify (+ 0 0) into 0 6.569 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 6.570 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 6.572 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) into 0 6.574 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.576 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) into 0 6.576 * [backup-simplify]: Simplify 0 into 0 6.579 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))))) into 0 6.579 * [taylor]: Taking taylor expansion of 0 in n 6.579 * [backup-simplify]: Simplify 0 into 0 6.579 * [backup-simplify]: Simplify 0 into 0 6.581 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0))))) into (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))))) 6.581 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 6.581 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 6.581 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 6.581 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 6.581 * [taylor]: Taking taylor expansion of 1.0 in k 6.581 * [backup-simplify]: Simplify 1.0 into 1.0 6.581 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 6.581 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.581 * [taylor]: Taking taylor expansion of k in k 6.581 * [backup-simplify]: Simplify 0 into 0 6.581 * [backup-simplify]: Simplify 1 into 1 6.582 * [backup-simplify]: Simplify (/ 1 1) into 1 6.582 * [backup-simplify]: Simplify (sqrt 0) into 0 6.584 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.584 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 6.584 * [taylor]: Taking taylor expansion of 1.0 in k 6.584 * [backup-simplify]: Simplify 1.0 into 1.0 6.584 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 6.584 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.584 * [taylor]: Taking taylor expansion of k in k 6.584 * [backup-simplify]: Simplify 0 into 0 6.584 * [backup-simplify]: Simplify 1 into 1 6.584 * [backup-simplify]: Simplify (/ 1 1) into 1 6.585 * [backup-simplify]: Simplify (sqrt 0) into 0 6.587 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.587 * [backup-simplify]: Simplify (* 1.0 0) into 0 6.587 * [backup-simplify]: Simplify 0 into 0 6.589 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 6.589 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.593 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.596 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 6.596 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.601 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.603 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 6.603 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.605 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 6.605 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 6.605 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 6.605 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 6.605 * [taylor]: Taking taylor expansion of 1.0 in k 6.605 * [backup-simplify]: Simplify 1.0 into 1.0 6.605 * [taylor]: Taking taylor expansion of (sqrt k) in k 6.605 * [taylor]: Taking taylor expansion of k in k 6.605 * [backup-simplify]: Simplify 0 into 0 6.605 * [backup-simplify]: Simplify 1 into 1 6.606 * [backup-simplify]: Simplify (sqrt 0) into 0 6.607 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.607 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 6.607 * [taylor]: Taking taylor expansion of 1.0 in k 6.607 * [backup-simplify]: Simplify 1.0 into 1.0 6.607 * [taylor]: Taking taylor expansion of (sqrt k) in k 6.607 * [taylor]: Taking taylor expansion of k in k 6.607 * [backup-simplify]: Simplify 0 into 0 6.607 * [backup-simplify]: Simplify 1 into 1 6.608 * [backup-simplify]: Simplify (sqrt 0) into 0 6.609 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.610 * [backup-simplify]: Simplify (* 1.0 0) into 0 6.610 * [backup-simplify]: Simplify 0 into 0 6.611 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 6.611 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.614 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.616 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 6.616 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.618 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.619 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 6.620 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.621 * [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)))))))) 6.621 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 6.621 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 6.621 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 6.621 * [taylor]: Taking taylor expansion of 1.0 in k 6.621 * [backup-simplify]: Simplify 1.0 into 1.0 6.621 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 6.621 * [taylor]: Taking taylor expansion of (/ -1 k) in k 6.621 * [taylor]: Taking taylor expansion of -1 in k 6.621 * [backup-simplify]: Simplify -1 into -1 6.621 * [taylor]: Taking taylor expansion of k in k 6.621 * [backup-simplify]: Simplify 0 into 0 6.621 * [backup-simplify]: Simplify 1 into 1 6.621 * [backup-simplify]: Simplify (/ -1 1) into -1 6.621 * [backup-simplify]: Simplify (sqrt 0) into 0 6.622 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.623 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 6.623 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 6.623 * [taylor]: Taking taylor expansion of 1.0 in k 6.623 * [backup-simplify]: Simplify 1.0 into 1.0 6.623 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 6.623 * [taylor]: Taking taylor expansion of (/ -1 k) in k 6.623 * [taylor]: Taking taylor expansion of -1 in k 6.623 * [backup-simplify]: Simplify -1 into -1 6.623 * [taylor]: Taking taylor expansion of k in k 6.623 * [backup-simplify]: Simplify 0 into 0 6.623 * [backup-simplify]: Simplify 1 into 1 6.623 * [backup-simplify]: Simplify (/ -1 1) into -1 6.623 * [backup-simplify]: Simplify (sqrt 0) into 0 6.624 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.624 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 6.624 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.625 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.627 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.628 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 6.628 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.629 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.631 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.634 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 6.634 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.635 * [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))))) 6.635 * * * [progress]: simplifying candidates 6.637 * [simplify]: Simplifying: (* (log n) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (/ (sqrt (- 1.0 k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n 1) (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))) (exp (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (cbrt (pow n (/ (- 1.0 k) 2.0))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0)) (pow (* 2.0 PI) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 PI) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) 1) (pow (* 2.0 PI) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (exp (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (* (* 2.0 PI) n) (+ (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0)))) (log (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (exp (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (* (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (sqrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (sqrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0))) (* (pow (* 2.0 PI) (/ k 2.0)) (pow n (/ k 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0))))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) 1) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0))) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ (- 1.0 k) 2.0))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (pow (* 2.0 PI) 0.5)) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (pow (pow (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5)))) (+ (* 0.5 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) (* (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))) (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 6.641 * * [simplify]: Extracting # 0 : cost 0 6.641 * * [simplify]: Extracting # 1 : cost 0 6.641 * * [simplify]: Extracting # 2 : cost 0 6.642 * * [simplify]: Extracting # 3 : cost 0 6.642 * * [simplify]: Extracting # 4 : cost 0 6.643 * * [simplify]: Extracting # 5 : cost 0 6.643 * * [simplify]: Extracting # 6 : cost 0 6.644 * * [simplify]: Extracting # 7 : cost 0 6.644 * * [simplify]: Extracting # 8 : cost 0 6.645 * * [simplify]: Extracting # 9 : cost 0 6.645 * * [simplify]: Extracting # 10 : cost 0 6.646 * * [simplify]: Extracting # 11 : cost 0 6.646 * * [simplify]: Extracting # 12 : cost 0 6.647 * * [simplify]: Extracting # 13 : cost 0 6.647 * * [simplify]: Extracting # 14 : cost 0 6.648 * * [simplify]: Extracting # 15 : cost 0 6.648 * * [simplify]: Extracting # 16 : cost 0 6.649 * * [simplify]: Extracting # 17 : cost 0 6.649 * * [simplify]: Extracting # 18 : cost 0 6.649 * * [simplify]: Extracting # 19 : cost 0 6.650 * * [simplify]: iteration 0 : 316 enodes (cost 2486 ) 6.790 * * [simplify]: Extracting # 0 : cost 0 6.799 * * [simplify]: Extracting # 1 : cost 0 6.800 * * [simplify]: Extracting # 2 : cost 0 6.802 * * [simplify]: Extracting # 3 : cost 0 6.803 * * [simplify]: Extracting # 4 : cost 0 6.804 * * [simplify]: Extracting # 5 : cost 0 6.805 * * [simplify]: iteration 1 : 851 enodes (cost 2288 ) 7.679 * * [simplify]: Extracting # 0 : cost 0 7.686 * * [simplify]: Extracting # 1 : cost 0 7.701 * * [simplify]: Extracting # 2 : cost 0 7.710 * * [simplify]: Extracting # 3 : cost 0 7.718 * * [simplify]: Extracting # 4 : cost 0 7.727 * * [simplify]: iteration 2 : 3379 enodes (cost 2162 ) 9.041 * * [simplify]: Extracting # 0 : cost 0 9.061 * * [simplify]: Extracting # 1 : cost 0 9.074 * * [simplify]: Extracting # 2 : cost 0 9.086 * * [simplify]: Extracting # 3 : cost 0 9.097 * * [simplify]: Extracting # 4 : cost 0 9.111 * * [simplify]: iteration done: 5001 enodes (cost 2147 ) 9.113 * [simplify]: Simplified to: (* (/ (- 1.0 k) 2.0) (log n)) (* (/ (- 1.0 k) 2.0) (log n)) (/ (- 1.0 k) 2.0) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (sqrt (- 1.0 k))) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) n (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (+ (sqrt 1.0) (sqrt k))) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) n n (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) 1 (pow n (/ (- 1.0 k) 2.0)) (* (/ (- 1.0 k) 2.0) (log n)) (exp (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (cbrt (pow n (/ (- 1.0 k) 2.0))) (pow (pow n (/ (- 1.0 k) 2.0)) 3) (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0)) (pow (* 2.0 PI) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 PI) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 PI) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 PI) (sqrt (- 1.0 k))) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (* 2.0 PI) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 PI) (+ (sqrt 1.0) (sqrt k))) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (* 2.0 PI) (* 2.0 PI) (pow (* 2.0 PI) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (exp (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (* (* 2.0 PI) n) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (exp (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (pow (* (pow n (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) 3) (* (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (pow (* (pow n (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) 3) (sqrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (sqrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0))) (* (pow (* 2.0 PI) (/ k 2.0)) (pow n (/ k 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0))))) (* (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (* (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (pow n (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (- 1.0 k) 2.0))) (* (pow n (/ 1.0 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ (- 1.0 k) 2.0))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (pow 1.0 3) (* (sqrt k) k)) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt k))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) (pow (/ 1 n) (* -0.5 (- 1.0 k))) (pow (exp (* 0.5 (- 1.0 k))) (+ 0 (log n))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (pow (* 2.0 PI) 0.5)) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (- (+ (* 0.125 (+ (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (+ (* 0.25 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (pow (pow (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5))) (* (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (+ (* k (log n)) (* k (log (* 2.0 PI))))) 0.5)) (* (pow (/ 1 n) (* -0.5 (- 1.0 k))) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) (pow (exp (* 0.5 (- 1.0 k))) (+ (+ 0 (log n)) (log (* 2.0 PI)))) (- (- (* +nan.0 k) (- (* +nan.0 (pow k 2)) +nan.0))) (- (- (/ +nan.0 (pow k 2)) (- (/ +nan.0 k) (/ +nan.0 (pow k 3))))) (- (- (/ +nan.0 (pow k 2)) (- (/ +nan.0 k) +nan.0))) 9.115 * * * [progress]: adding candidates to table 9.813 * * [progress]: iteration 3 / 4 9.813 * * * [progress]: picking best candidate 9.854 * * * * [pick]: Picked # 9.854 * * * [progress]: localizing error 9.907 * * * [progress]: generating rewritten candidates 9.907 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 9.917 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 9.925 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 10.008 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 10.020 * * * [progress]: generating series expansions 10.020 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 10.020 * [backup-simplify]: Simplify (pow n (/ (- 1.0 k) 2.0)) into (pow n (* 0.5 (- 1.0 k))) 10.021 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 10.021 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 10.021 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 10.021 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 10.021 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 10.021 * [taylor]: Taking taylor expansion of 0.5 in k 10.021 * [backup-simplify]: Simplify 0.5 into 0.5 10.021 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 10.021 * [taylor]: Taking taylor expansion of 1.0 in k 10.021 * [backup-simplify]: Simplify 1.0 into 1.0 10.021 * [taylor]: Taking taylor expansion of k in k 10.021 * [backup-simplify]: Simplify 0 into 0 10.021 * [backup-simplify]: Simplify 1 into 1 10.021 * [taylor]: Taking taylor expansion of (log n) in k 10.021 * [taylor]: Taking taylor expansion of n in k 10.021 * [backup-simplify]: Simplify n into n 10.021 * [backup-simplify]: Simplify (log n) into (log n) 10.021 * [backup-simplify]: Simplify (- 0) into 0 10.022 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.022 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 10.022 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 10.022 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 10.022 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 10.022 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 10.022 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 10.022 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 10.022 * [taylor]: Taking taylor expansion of 0.5 in n 10.022 * [backup-simplify]: Simplify 0.5 into 0.5 10.022 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 10.022 * [taylor]: Taking taylor expansion of 1.0 in n 10.022 * [backup-simplify]: Simplify 1.0 into 1.0 10.022 * [taylor]: Taking taylor expansion of k in n 10.022 * [backup-simplify]: Simplify k into k 10.022 * [taylor]: Taking taylor expansion of (log n) in n 10.022 * [taylor]: Taking taylor expansion of n in n 10.022 * [backup-simplify]: Simplify 0 into 0 10.022 * [backup-simplify]: Simplify 1 into 1 10.023 * [backup-simplify]: Simplify (log 1) into 0 10.023 * [backup-simplify]: Simplify (- k) into (- k) 10.023 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 10.023 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 10.023 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 10.023 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 10.023 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 10.023 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 10.023 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 10.023 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 10.023 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 10.023 * [taylor]: Taking taylor expansion of 0.5 in n 10.023 * [backup-simplify]: Simplify 0.5 into 0.5 10.023 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 10.023 * [taylor]: Taking taylor expansion of 1.0 in n 10.023 * [backup-simplify]: Simplify 1.0 into 1.0 10.023 * [taylor]: Taking taylor expansion of k in n 10.024 * [backup-simplify]: Simplify k into k 10.024 * [taylor]: Taking taylor expansion of (log n) in n 10.024 * [taylor]: Taking taylor expansion of n in n 10.024 * [backup-simplify]: Simplify 0 into 0 10.024 * [backup-simplify]: Simplify 1 into 1 10.024 * [backup-simplify]: Simplify (log 1) into 0 10.024 * [backup-simplify]: Simplify (- k) into (- k) 10.024 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 10.024 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 10.024 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 10.024 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 10.024 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 10.024 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 10.025 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 10.025 * [taylor]: Taking taylor expansion of 0.5 in k 10.025 * [backup-simplify]: Simplify 0.5 into 0.5 10.025 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 10.025 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 10.025 * [taylor]: Taking taylor expansion of 1.0 in k 10.025 * [backup-simplify]: Simplify 1.0 into 1.0 10.025 * [taylor]: Taking taylor expansion of k in k 10.025 * [backup-simplify]: Simplify 0 into 0 10.025 * [backup-simplify]: Simplify 1 into 1 10.025 * [taylor]: Taking taylor expansion of (log n) in k 10.025 * [taylor]: Taking taylor expansion of n in k 10.025 * [backup-simplify]: Simplify n into n 10.025 * [backup-simplify]: Simplify (log n) into (log n) 10.025 * [backup-simplify]: Simplify (- 0) into 0 10.025 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.025 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 10.025 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (log n))) into (* 0.5 (log n)) 10.025 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 10.026 * [backup-simplify]: Simplify (pow n 0.5) into (pow n 0.5) 10.027 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.027 * [backup-simplify]: Simplify (- 0) into 0 10.028 * [backup-simplify]: Simplify (+ 0 0) into 0 10.028 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 10.029 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 10.029 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (log n))) into 0 10.030 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 10.030 * [taylor]: Taking taylor expansion of 0 in k 10.030 * [backup-simplify]: Simplify 0 into 0 10.030 * [backup-simplify]: Simplify 0 into 0 10.031 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 10.031 * [backup-simplify]: Simplify (- 1) into -1 10.032 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.032 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (log n))) into (- (log n)) 10.032 * [backup-simplify]: Simplify (+ (* 0.5 (- (log n))) (* 0 (* 1.0 (log n)))) into (- (* 0.5 (log n))) 10.033 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 1) 1)))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 10.033 * [backup-simplify]: Simplify (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 10.036 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 10.036 * [backup-simplify]: Simplify (- 0) into 0 10.037 * [backup-simplify]: Simplify (+ 0 0) into 0 10.038 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 10.038 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 10.039 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 10.040 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.040 * [taylor]: Taking taylor expansion of 0 in k 10.040 * [backup-simplify]: Simplify 0 into 0 10.040 * [backup-simplify]: Simplify 0 into 0 10.040 * [backup-simplify]: Simplify 0 into 0 10.042 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 10.043 * [backup-simplify]: Simplify (- 0) into 0 10.043 * [backup-simplify]: Simplify (+ 0 0) into 0 10.044 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (log n)))) into 0 10.044 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (log n))) (* 0 (* 1.0 (log n))))) into 0 10.046 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 10.046 * [backup-simplify]: Simplify (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 10.047 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) (* k 1)) (pow n 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) 10.048 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) 10.048 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 10.048 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 10.048 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 10.048 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 10.048 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 10.048 * [taylor]: Taking taylor expansion of 0.5 in k 10.048 * [backup-simplify]: Simplify 0.5 into 0.5 10.048 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 10.048 * [taylor]: Taking taylor expansion of 1.0 in k 10.048 * [backup-simplify]: Simplify 1.0 into 1.0 10.048 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.048 * [taylor]: Taking taylor expansion of k in k 10.048 * [backup-simplify]: Simplify 0 into 0 10.048 * [backup-simplify]: Simplify 1 into 1 10.049 * [backup-simplify]: Simplify (/ 1 1) into 1 10.049 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 10.049 * [taylor]: Taking taylor expansion of (/ 1 n) in k 10.049 * [taylor]: Taking taylor expansion of n in k 10.049 * [backup-simplify]: Simplify n into n 10.049 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.049 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 10.049 * [backup-simplify]: Simplify (- 1) into -1 10.050 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.050 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 10.050 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 10.050 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 10.050 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 10.051 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 10.051 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 10.051 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 10.051 * [taylor]: Taking taylor expansion of 0.5 in n 10.051 * [backup-simplify]: Simplify 0.5 into 0.5 10.051 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 10.051 * [taylor]: Taking taylor expansion of 1.0 in n 10.051 * [backup-simplify]: Simplify 1.0 into 1.0 10.051 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.051 * [taylor]: Taking taylor expansion of k in n 10.051 * [backup-simplify]: Simplify k into k 10.051 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 10.051 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 10.051 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.051 * [taylor]: Taking taylor expansion of n in n 10.051 * [backup-simplify]: Simplify 0 into 0 10.051 * [backup-simplify]: Simplify 1 into 1 10.051 * [backup-simplify]: Simplify (/ 1 1) into 1 10.052 * [backup-simplify]: Simplify (log 1) into 0 10.052 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 10.052 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 10.052 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 10.053 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 10.053 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 10.053 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 10.053 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 10.053 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 10.053 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 10.053 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 10.053 * [taylor]: Taking taylor expansion of 0.5 in n 10.053 * [backup-simplify]: Simplify 0.5 into 0.5 10.053 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 10.053 * [taylor]: Taking taylor expansion of 1.0 in n 10.053 * [backup-simplify]: Simplify 1.0 into 1.0 10.053 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.053 * [taylor]: Taking taylor expansion of k in n 10.053 * [backup-simplify]: Simplify k into k 10.053 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 10.053 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 10.054 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.054 * [taylor]: Taking taylor expansion of n in n 10.054 * [backup-simplify]: Simplify 0 into 0 10.054 * [backup-simplify]: Simplify 1 into 1 10.054 * [backup-simplify]: Simplify (/ 1 1) into 1 10.054 * [backup-simplify]: Simplify (log 1) into 0 10.054 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 10.055 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 10.055 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 10.055 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 10.055 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 10.055 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 10.056 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) in k 10.056 * [taylor]: Taking taylor expansion of (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) in k 10.056 * [taylor]: Taking taylor expansion of -0.5 in k 10.056 * [backup-simplify]: Simplify -0.5 into -0.5 10.056 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 10.056 * [taylor]: Taking taylor expansion of (log n) in k 10.056 * [taylor]: Taking taylor expansion of n in k 10.056 * [backup-simplify]: Simplify n into n 10.056 * [backup-simplify]: Simplify (log n) into (log n) 10.056 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 10.056 * [taylor]: Taking taylor expansion of 1.0 in k 10.056 * [backup-simplify]: Simplify 1.0 into 1.0 10.056 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.056 * [taylor]: Taking taylor expansion of k in k 10.056 * [backup-simplify]: Simplify 0 into 0 10.056 * [backup-simplify]: Simplify 1 into 1 10.056 * [backup-simplify]: Simplify (/ 1 1) into 1 10.057 * [backup-simplify]: Simplify (- 1) into -1 10.057 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.057 * [backup-simplify]: Simplify (* (log n) -1) into (* -1 (log n)) 10.057 * [backup-simplify]: Simplify (* -0.5 (* -1 (log n))) into (* 0.5 (log n)) 10.058 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 10.058 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 10.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.060 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.060 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 10.061 * [backup-simplify]: Simplify (- 0) into 0 10.061 * [backup-simplify]: Simplify (+ 0 0) into 0 10.061 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 10.062 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 10.062 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 10.063 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 10.063 * [taylor]: Taking taylor expansion of 0 in k 10.063 * [backup-simplify]: Simplify 0 into 0 10.063 * [backup-simplify]: Simplify 0 into 0 10.063 * [backup-simplify]: Simplify 0 into 0 10.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.067 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 10.067 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 10.068 * [backup-simplify]: Simplify (- 0) into 0 10.068 * [backup-simplify]: Simplify (+ 0 0) into 0 10.069 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 10.069 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 10.070 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 10.071 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.071 * [taylor]: Taking taylor expansion of 0 in k 10.071 * [backup-simplify]: Simplify 0 into 0 10.071 * [backup-simplify]: Simplify 0 into 0 10.071 * [backup-simplify]: Simplify 0 into 0 10.071 * [backup-simplify]: Simplify 0 into 0 10.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.079 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 10.079 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 10.079 * [backup-simplify]: Simplify (- 0) into 0 10.080 * [backup-simplify]: Simplify (+ 0 0) into 0 10.081 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 10.081 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 10.082 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 10.084 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 10.084 * [taylor]: Taking taylor expansion of 0 in k 10.084 * [backup-simplify]: Simplify 0 into 0 10.084 * [backup-simplify]: Simplify 0 into 0 10.084 * [backup-simplify]: Simplify (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) 10.085 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) 10.085 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 10.085 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 10.085 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 10.085 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 10.085 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 10.085 * [taylor]: Taking taylor expansion of 0.5 in k 10.085 * [backup-simplify]: Simplify 0.5 into 0.5 10.085 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 10.085 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.085 * [taylor]: Taking taylor expansion of k in k 10.085 * [backup-simplify]: Simplify 0 into 0 10.085 * [backup-simplify]: Simplify 1 into 1 10.085 * [backup-simplify]: Simplify (/ 1 1) into 1 10.085 * [taylor]: Taking taylor expansion of 1.0 in k 10.085 * [backup-simplify]: Simplify 1.0 into 1.0 10.086 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 10.086 * [taylor]: Taking taylor expansion of (/ -1 n) in k 10.086 * [taylor]: Taking taylor expansion of -1 in k 10.086 * [backup-simplify]: Simplify -1 into -1 10.086 * [taylor]: Taking taylor expansion of n in k 10.086 * [backup-simplify]: Simplify n into n 10.086 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 10.086 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 10.086 * [backup-simplify]: Simplify (+ 1 0) into 1 10.087 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 10.087 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 10.087 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 10.087 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 10.087 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 10.087 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 10.087 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 10.087 * [taylor]: Taking taylor expansion of 0.5 in n 10.087 * [backup-simplify]: Simplify 0.5 into 0.5 10.087 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 10.087 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.087 * [taylor]: Taking taylor expansion of k in n 10.087 * [backup-simplify]: Simplify k into k 10.087 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 10.087 * [taylor]: Taking taylor expansion of 1.0 in n 10.087 * [backup-simplify]: Simplify 1.0 into 1.0 10.087 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 10.088 * [taylor]: Taking taylor expansion of (/ -1 n) in n 10.088 * [taylor]: Taking taylor expansion of -1 in n 10.088 * [backup-simplify]: Simplify -1 into -1 10.088 * [taylor]: Taking taylor expansion of n in n 10.088 * [backup-simplify]: Simplify 0 into 0 10.088 * [backup-simplify]: Simplify 1 into 1 10.088 * [backup-simplify]: Simplify (/ -1 1) into -1 10.089 * [backup-simplify]: Simplify (log -1) into (log -1) 10.089 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 10.089 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 10.090 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 10.090 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 10.091 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 10.091 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 10.091 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 10.091 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 10.091 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 10.091 * [taylor]: Taking taylor expansion of 0.5 in n 10.091 * [backup-simplify]: Simplify 0.5 into 0.5 10.091 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 10.091 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.091 * [taylor]: Taking taylor expansion of k in n 10.091 * [backup-simplify]: Simplify k into k 10.091 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 10.091 * [taylor]: Taking taylor expansion of 1.0 in n 10.091 * [backup-simplify]: Simplify 1.0 into 1.0 10.091 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 10.091 * [taylor]: Taking taylor expansion of (/ -1 n) in n 10.091 * [taylor]: Taking taylor expansion of -1 in n 10.091 * [backup-simplify]: Simplify -1 into -1 10.091 * [taylor]: Taking taylor expansion of n in n 10.091 * [backup-simplify]: Simplify 0 into 0 10.091 * [backup-simplify]: Simplify 1 into 1 10.092 * [backup-simplify]: Simplify (/ -1 1) into -1 10.092 * [backup-simplify]: Simplify (log -1) into (log -1) 10.092 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 10.093 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 10.093 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 10.094 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 10.095 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 10.095 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 10.095 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 10.095 * [taylor]: Taking taylor expansion of 0.5 in k 10.095 * [backup-simplify]: Simplify 0.5 into 0.5 10.095 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 10.095 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 10.095 * [taylor]: Taking taylor expansion of (log -1) in k 10.095 * [taylor]: Taking taylor expansion of -1 in k 10.095 * [backup-simplify]: Simplify -1 into -1 10.095 * [backup-simplify]: Simplify (log -1) into (log -1) 10.095 * [taylor]: Taking taylor expansion of (log n) in k 10.096 * [taylor]: Taking taylor expansion of n in k 10.096 * [backup-simplify]: Simplify n into n 10.096 * [backup-simplify]: Simplify (log n) into (log n) 10.096 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 10.096 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.096 * [taylor]: Taking taylor expansion of k in k 10.096 * [backup-simplify]: Simplify 0 into 0 10.096 * [backup-simplify]: Simplify 1 into 1 10.096 * [backup-simplify]: Simplify (/ 1 1) into 1 10.096 * [taylor]: Taking taylor expansion of 1.0 in k 10.096 * [backup-simplify]: Simplify 1.0 into 1.0 10.096 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 10.097 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 10.097 * [backup-simplify]: Simplify (+ 1 0) into 1 10.098 * [backup-simplify]: Simplify (* (- (log -1) (log n)) 1) into (- (log -1) (log n)) 10.098 * [backup-simplify]: Simplify (* 0.5 (- (log -1) (log n))) into (* 0.5 (- (log -1) (log n))) 10.099 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 10.099 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 10.100 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.102 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 10.102 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 10.102 * [backup-simplify]: Simplify (+ 0 0) into 0 10.103 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 10.104 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 10.104 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log -1) (log n)))) into 0 10.106 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 10.106 * [taylor]: Taking taylor expansion of 0 in k 10.106 * [backup-simplify]: Simplify 0 into 0 10.106 * [backup-simplify]: Simplify 0 into 0 10.106 * [backup-simplify]: Simplify 0 into 0 10.107 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.110 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 10.110 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 10.110 * [backup-simplify]: Simplify (+ 0 0) into 0 10.111 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 10.112 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 10.113 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 10.115 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.115 * [taylor]: Taking taylor expansion of 0 in k 10.115 * [backup-simplify]: Simplify 0 into 0 10.115 * [backup-simplify]: Simplify 0 into 0 10.115 * [backup-simplify]: Simplify 0 into 0 10.115 * [backup-simplify]: Simplify 0 into 0 10.117 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.122 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 10.123 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 10.123 * [backup-simplify]: Simplify (+ 0 0) into 0 10.125 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 10.125 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 10.127 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 10.129 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 10.129 * [taylor]: Taking taylor expansion of 0 in k 10.129 * [backup-simplify]: Simplify 0 into 0 10.129 * [backup-simplify]: Simplify 0 into 0 10.130 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) 10.130 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 10.131 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 k) 2.0)) into (pow PI (* 0.5 (- 1.0 k))) 10.131 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in (k) around 0 10.131 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 10.131 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 10.131 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 10.131 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 10.131 * [taylor]: Taking taylor expansion of 0.5 in k 10.131 * [backup-simplify]: Simplify 0.5 into 0.5 10.131 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 10.131 * [taylor]: Taking taylor expansion of 1.0 in k 10.131 * [backup-simplify]: Simplify 1.0 into 1.0 10.131 * [taylor]: Taking taylor expansion of k in k 10.131 * [backup-simplify]: Simplify 0 into 0 10.131 * [backup-simplify]: Simplify 1 into 1 10.131 * [taylor]: Taking taylor expansion of (log PI) in k 10.131 * [taylor]: Taking taylor expansion of PI in k 10.131 * [backup-simplify]: Simplify PI into PI 10.132 * [backup-simplify]: Simplify (log PI) into (log PI) 10.132 * [backup-simplify]: Simplify (- 0) into 0 10.132 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.133 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 10.134 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 10.136 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 10.136 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 10.136 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 10.136 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 10.136 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 10.136 * [taylor]: Taking taylor expansion of 0.5 in k 10.136 * [backup-simplify]: Simplify 0.5 into 0.5 10.136 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 10.136 * [taylor]: Taking taylor expansion of 1.0 in k 10.136 * [backup-simplify]: Simplify 1.0 into 1.0 10.136 * [taylor]: Taking taylor expansion of k in k 10.136 * [backup-simplify]: Simplify 0 into 0 10.136 * [backup-simplify]: Simplify 1 into 1 10.136 * [taylor]: Taking taylor expansion of (log PI) in k 10.136 * [taylor]: Taking taylor expansion of PI in k 10.136 * [backup-simplify]: Simplify PI into PI 10.137 * [backup-simplify]: Simplify (log PI) into (log PI) 10.138 * [backup-simplify]: Simplify (- 0) into 0 10.138 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.138 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 10.140 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 10.150 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 10.151 * [backup-simplify]: Simplify (pow PI 0.5) into (pow PI 0.5) 10.152 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 10.153 * [backup-simplify]: Simplify (- 1) into -1 10.153 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.155 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 10.158 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log PI))) into (- (* 0.5 (log PI))) 10.167 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 1) 1)))) into (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) 10.171 * [backup-simplify]: Simplify (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) into (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) 10.174 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 10.175 * [backup-simplify]: Simplify (- 0) into 0 10.175 * [backup-simplify]: Simplify (+ 0 0) into 0 10.177 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 10.178 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log PI)))) into 0 10.193 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) 10.198 * [backup-simplify]: Simplify (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) into (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) 10.208 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) (pow k 2)) (+ (* (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) k) (pow PI 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log PI) 2)) (pow (pow PI 1.0) 0.5))) (pow PI 0.5)) (* 0.5 (* (* k (log PI)) (pow (pow PI 1.0) 0.5)))) 10.208 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 (/ 1 k)) 2.0)) into (pow PI (* 0.5 (- 1.0 (/ 1 k)))) 10.209 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 10.209 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 10.209 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 10.209 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 10.209 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 10.209 * [taylor]: Taking taylor expansion of 0.5 in k 10.209 * [backup-simplify]: Simplify 0.5 into 0.5 10.209 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 10.209 * [taylor]: Taking taylor expansion of 1.0 in k 10.209 * [backup-simplify]: Simplify 1.0 into 1.0 10.209 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.209 * [taylor]: Taking taylor expansion of k in k 10.209 * [backup-simplify]: Simplify 0 into 0 10.209 * [backup-simplify]: Simplify 1 into 1 10.209 * [backup-simplify]: Simplify (/ 1 1) into 1 10.209 * [taylor]: Taking taylor expansion of (log PI) in k 10.209 * [taylor]: Taking taylor expansion of PI in k 10.209 * [backup-simplify]: Simplify PI into PI 10.210 * [backup-simplify]: Simplify (log PI) into (log PI) 10.210 * [backup-simplify]: Simplify (- 1) into -1 10.211 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.211 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 10.212 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 10.213 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 10.213 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 10.213 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 10.213 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 10.213 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 10.213 * [taylor]: Taking taylor expansion of 0.5 in k 10.213 * [backup-simplify]: Simplify 0.5 into 0.5 10.213 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 10.213 * [taylor]: Taking taylor expansion of 1.0 in k 10.213 * [backup-simplify]: Simplify 1.0 into 1.0 10.213 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.213 * [taylor]: Taking taylor expansion of k in k 10.213 * [backup-simplify]: Simplify 0 into 0 10.213 * [backup-simplify]: Simplify 1 into 1 10.214 * [backup-simplify]: Simplify (/ 1 1) into 1 10.214 * [taylor]: Taking taylor expansion of (log PI) in k 10.214 * [taylor]: Taking taylor expansion of PI in k 10.214 * [backup-simplify]: Simplify PI into PI 10.214 * [backup-simplify]: Simplify (log PI) into (log PI) 10.214 * [backup-simplify]: Simplify (- 1) into -1 10.215 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.215 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 10.216 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 10.217 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 10.218 * [backup-simplify]: Simplify (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 10.218 * [backup-simplify]: Simplify 0 into 0 10.218 * [backup-simplify]: Simplify 0 into 0 10.218 * [backup-simplify]: Simplify 0 into 0 10.218 * [backup-simplify]: Simplify 0 into 0 10.218 * [backup-simplify]: Simplify 0 into 0 10.218 * [backup-simplify]: Simplify 0 into 0 10.219 * [backup-simplify]: Simplify (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.5 (* (- 1.0 k) (log PI)))) 10.219 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow PI (* 0.5 (+ (/ 1 k) 1.0))) 10.219 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 10.219 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 10.219 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 10.219 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 10.219 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 10.219 * [taylor]: Taking taylor expansion of 0.5 in k 10.219 * [backup-simplify]: Simplify 0.5 into 0.5 10.219 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 10.219 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.219 * [taylor]: Taking taylor expansion of k in k 10.219 * [backup-simplify]: Simplify 0 into 0 10.219 * [backup-simplify]: Simplify 1 into 1 10.220 * [backup-simplify]: Simplify (/ 1 1) into 1 10.220 * [taylor]: Taking taylor expansion of 1.0 in k 10.220 * [backup-simplify]: Simplify 1.0 into 1.0 10.220 * [taylor]: Taking taylor expansion of (log PI) in k 10.220 * [taylor]: Taking taylor expansion of PI in k 10.220 * [backup-simplify]: Simplify PI into PI 10.220 * [backup-simplify]: Simplify (log PI) into (log PI) 10.221 * [backup-simplify]: Simplify (+ 1 0) into 1 10.221 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 10.222 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 10.223 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 10.223 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 10.223 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 10.223 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 10.223 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 10.223 * [taylor]: Taking taylor expansion of 0.5 in k 10.223 * [backup-simplify]: Simplify 0.5 into 0.5 10.223 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 10.223 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.223 * [taylor]: Taking taylor expansion of k in k 10.223 * [backup-simplify]: Simplify 0 into 0 10.223 * [backup-simplify]: Simplify 1 into 1 10.224 * [backup-simplify]: Simplify (/ 1 1) into 1 10.224 * [taylor]: Taking taylor expansion of 1.0 in k 10.224 * [backup-simplify]: Simplify 1.0 into 1.0 10.224 * [taylor]: Taking taylor expansion of (log PI) in k 10.224 * [taylor]: Taking taylor expansion of PI in k 10.224 * [backup-simplify]: Simplify PI into PI 10.224 * [backup-simplify]: Simplify (log PI) into (log PI) 10.225 * [backup-simplify]: Simplify (+ 1 0) into 1 10.225 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 10.226 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 10.227 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 10.227 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 10.227 * [backup-simplify]: Simplify 0 into 0 10.228 * [backup-simplify]: Simplify 0 into 0 10.228 * [backup-simplify]: Simplify 0 into 0 10.228 * [backup-simplify]: Simplify 0 into 0 10.228 * [backup-simplify]: Simplify 0 into 0 10.228 * [backup-simplify]: Simplify 0 into 0 10.228 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (log PI)))) into (exp (* 0.5 (* (- 1.0 k) (log PI)))) 10.228 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 10.229 * [backup-simplify]: Simplify (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) into (* (pow PI (* 0.5 (- 1.0 k))) (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) 10.229 * [approximate]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) in (k n) around 0 10.229 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) in n 10.229 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in n 10.229 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in n 10.229 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in n 10.229 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 10.229 * [taylor]: Taking taylor expansion of 0.5 in n 10.229 * [backup-simplify]: Simplify 0.5 into 0.5 10.229 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 10.229 * [taylor]: Taking taylor expansion of 1.0 in n 10.229 * [backup-simplify]: Simplify 1.0 into 1.0 10.229 * [taylor]: Taking taylor expansion of k in n 10.229 * [backup-simplify]: Simplify k into k 10.229 * [taylor]: Taking taylor expansion of (log PI) in n 10.230 * [taylor]: Taking taylor expansion of PI in n 10.230 * [backup-simplify]: Simplify PI into PI 10.230 * [backup-simplify]: Simplify (log PI) into (log PI) 10.230 * [backup-simplify]: Simplify (- k) into (- k) 10.230 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 10.230 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 10.231 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log PI)) into (* 0.5 (* (- 1.0 k) (log PI))) 10.231 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log PI)))) into (exp (* 0.5 (* (- 1.0 k) (log PI)))) 10.231 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in n 10.231 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in n 10.231 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in n 10.231 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in n 10.231 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 10.232 * [taylor]: Taking taylor expansion of 0.5 in n 10.232 * [backup-simplify]: Simplify 0.5 into 0.5 10.232 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 10.232 * [taylor]: Taking taylor expansion of 1.0 in n 10.232 * [backup-simplify]: Simplify 1.0 into 1.0 10.232 * [taylor]: Taking taylor expansion of k in n 10.232 * [backup-simplify]: Simplify k into k 10.232 * [taylor]: Taking taylor expansion of (log 2.0) in n 10.232 * [taylor]: Taking taylor expansion of 2.0 in n 10.232 * [backup-simplify]: Simplify 2.0 into 2.0 10.232 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 10.232 * [backup-simplify]: Simplify (- k) into (- k) 10.232 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 10.232 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 10.233 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log 2.0)) into (* 0.5 (* (- 1.0 k) (log 2.0))) 10.233 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log 2.0)))) into (exp (* 0.5 (* (- 1.0 k) (log 2.0)))) 10.234 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 10.234 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 10.234 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 10.234 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 10.234 * [taylor]: Taking taylor expansion of 0.5 in n 10.234 * [backup-simplify]: Simplify 0.5 into 0.5 10.234 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 10.234 * [taylor]: Taking taylor expansion of 1.0 in n 10.234 * [backup-simplify]: Simplify 1.0 into 1.0 10.234 * [taylor]: Taking taylor expansion of k in n 10.234 * [backup-simplify]: Simplify k into k 10.234 * [taylor]: Taking taylor expansion of (log n) in n 10.234 * [taylor]: Taking taylor expansion of n in n 10.234 * [backup-simplify]: Simplify 0 into 0 10.234 * [backup-simplify]: Simplify 1 into 1 10.234 * [backup-simplify]: Simplify (log 1) into 0 10.234 * [backup-simplify]: Simplify (- k) into (- k) 10.234 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 10.235 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 10.235 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 10.235 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 10.235 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 10.235 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) in k 10.235 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 10.235 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 10.235 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 10.236 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 10.236 * [taylor]: Taking taylor expansion of 0.5 in k 10.236 * [backup-simplify]: Simplify 0.5 into 0.5 10.236 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 10.236 * [taylor]: Taking taylor expansion of 1.0 in k 10.236 * [backup-simplify]: Simplify 1.0 into 1.0 10.236 * [taylor]: Taking taylor expansion of k in k 10.236 * [backup-simplify]: Simplify 0 into 0 10.236 * [backup-simplify]: Simplify 1 into 1 10.236 * [taylor]: Taking taylor expansion of (log PI) in k 10.236 * [taylor]: Taking taylor expansion of PI in k 10.236 * [backup-simplify]: Simplify PI into PI 10.236 * [backup-simplify]: Simplify (log PI) into (log PI) 10.237 * [backup-simplify]: Simplify (- 0) into 0 10.237 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.238 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 10.239 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 10.240 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 10.240 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 10.240 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in k 10.240 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in k 10.240 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in k 10.240 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 10.240 * [taylor]: Taking taylor expansion of 0.5 in k 10.241 * [backup-simplify]: Simplify 0.5 into 0.5 10.241 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 10.241 * [taylor]: Taking taylor expansion of 1.0 in k 10.241 * [backup-simplify]: Simplify 1.0 into 1.0 10.241 * [taylor]: Taking taylor expansion of k in k 10.241 * [backup-simplify]: Simplify 0 into 0 10.241 * [backup-simplify]: Simplify 1 into 1 10.241 * [taylor]: Taking taylor expansion of (log 2.0) in k 10.241 * [taylor]: Taking taylor expansion of 2.0 in k 10.241 * [backup-simplify]: Simplify 2.0 into 2.0 10.241 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 10.242 * [backup-simplify]: Simplify (- 0) into 0 10.242 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.242 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 10.243 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 10.245 * [backup-simplify]: Simplify (exp (* 0.5 (log 2.0))) into (pow 2.0 0.5) 10.245 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 10.245 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 10.245 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 10.245 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 10.245 * [taylor]: Taking taylor expansion of 0.5 in k 10.245 * [backup-simplify]: Simplify 0.5 into 0.5 10.245 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 10.245 * [taylor]: Taking taylor expansion of 1.0 in k 10.245 * [backup-simplify]: Simplify 1.0 into 1.0 10.245 * [taylor]: Taking taylor expansion of k in k 10.245 * [backup-simplify]: Simplify 0 into 0 10.245 * [backup-simplify]: Simplify 1 into 1 10.245 * [taylor]: Taking taylor expansion of (log n) in k 10.246 * [taylor]: Taking taylor expansion of n in k 10.246 * [backup-simplify]: Simplify n into n 10.246 * [backup-simplify]: Simplify (log n) into (log n) 10.246 * [backup-simplify]: Simplify (- 0) into 0 10.246 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.247 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 10.247 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 10.247 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 10.247 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) in k 10.247 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 10.247 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 10.248 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 10.248 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 10.248 * [taylor]: Taking taylor expansion of 0.5 in k 10.248 * [backup-simplify]: Simplify 0.5 into 0.5 10.248 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 10.248 * [taylor]: Taking taylor expansion of 1.0 in k 10.248 * [backup-simplify]: Simplify 1.0 into 1.0 10.248 * [taylor]: Taking taylor expansion of k in k 10.248 * [backup-simplify]: Simplify 0 into 0 10.248 * [backup-simplify]: Simplify 1 into 1 10.248 * [taylor]: Taking taylor expansion of (log PI) in k 10.248 * [taylor]: Taking taylor expansion of PI in k 10.248 * [backup-simplify]: Simplify PI into PI 10.248 * [backup-simplify]: Simplify (log PI) into (log PI) 10.249 * [backup-simplify]: Simplify (- 0) into 0 10.249 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.250 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 10.251 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 10.252 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 10.252 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 10.252 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in k 10.252 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in k 10.252 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in k 10.253 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 10.253 * [taylor]: Taking taylor expansion of 0.5 in k 10.253 * [backup-simplify]: Simplify 0.5 into 0.5 10.253 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 10.253 * [taylor]: Taking taylor expansion of 1.0 in k 10.253 * [backup-simplify]: Simplify 1.0 into 1.0 10.253 * [taylor]: Taking taylor expansion of k in k 10.253 * [backup-simplify]: Simplify 0 into 0 10.253 * [backup-simplify]: Simplify 1 into 1 10.253 * [taylor]: Taking taylor expansion of (log 2.0) in k 10.253 * [taylor]: Taking taylor expansion of 2.0 in k 10.253 * [backup-simplify]: Simplify 2.0 into 2.0 10.253 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 10.254 * [backup-simplify]: Simplify (- 0) into 0 10.254 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.255 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 10.256 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 10.257 * [backup-simplify]: Simplify (exp (* 0.5 (log 2.0))) into (pow 2.0 0.5) 10.257 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 10.257 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 10.257 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 10.257 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 10.257 * [taylor]: Taking taylor expansion of 0.5 in k 10.257 * [backup-simplify]: Simplify 0.5 into 0.5 10.257 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 10.257 * [taylor]: Taking taylor expansion of 1.0 in k 10.257 * [backup-simplify]: Simplify 1.0 into 1.0 10.257 * [taylor]: Taking taylor expansion of k in k 10.257 * [backup-simplify]: Simplify 0 into 0 10.258 * [backup-simplify]: Simplify 1 into 1 10.258 * [taylor]: Taking taylor expansion of (log n) in k 10.258 * [taylor]: Taking taylor expansion of n in k 10.258 * [backup-simplify]: Simplify n into n 10.258 * [backup-simplify]: Simplify (log n) into (log n) 10.258 * [backup-simplify]: Simplify (- 0) into 0 10.259 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.259 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 10.259 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 10.259 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 10.260 * [backup-simplify]: Simplify (* (pow 2.0 0.5) (pow n 0.5)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 0.5) 10.261 * [backup-simplify]: Simplify (* (pow PI 0.5) (pow (* (pow n 1.0) (pow 2.0 1.0)) 0.5)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) 10.261 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 10.261 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 10.261 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 10.261 * [taylor]: Taking taylor expansion of 0.5 in n 10.261 * [backup-simplify]: Simplify 0.5 into 0.5 10.261 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 10.261 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 10.261 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 10.261 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 10.261 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 10.261 * [taylor]: Taking taylor expansion of 1.0 in n 10.261 * [backup-simplify]: Simplify 1.0 into 1.0 10.261 * [taylor]: Taking taylor expansion of (log 2.0) in n 10.261 * [taylor]: Taking taylor expansion of 2.0 in n 10.261 * [backup-simplify]: Simplify 2.0 into 2.0 10.262 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 10.263 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 10.264 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 10.264 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 10.264 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 10.264 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 10.264 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 10.264 * [taylor]: Taking taylor expansion of 1.0 in n 10.264 * [backup-simplify]: Simplify 1.0 into 1.0 10.264 * [taylor]: Taking taylor expansion of (log n) in n 10.264 * [taylor]: Taking taylor expansion of n in n 10.265 * [backup-simplify]: Simplify 0 into 0 10.265 * [backup-simplify]: Simplify 1 into 1 10.265 * [backup-simplify]: Simplify (log 1) into 0 10.265 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 10.265 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 10.266 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 10.266 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 10.266 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 10.266 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 10.266 * [taylor]: Taking taylor expansion of 1.0 in n 10.266 * [backup-simplify]: Simplify 1.0 into 1.0 10.266 * [taylor]: Taking taylor expansion of (log PI) in n 10.266 * [taylor]: Taking taylor expansion of PI in n 10.266 * [backup-simplify]: Simplify PI into PI 10.266 * [backup-simplify]: Simplify (log PI) into (log PI) 10.267 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 10.269 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 10.269 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 10.271 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 10.272 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 10.273 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 10.275 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 10.277 * [backup-simplify]: Simplify (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) into (pow (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5) 10.277 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 10.278 * [backup-simplify]: Simplify (- 1) into -1 10.278 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.280 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 10.281 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log n))) into (- (* 0.5 (log n))) 10.281 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 1) 1)))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 10.283 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 10.283 * [backup-simplify]: Simplify (- 1) into -1 10.283 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.285 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 10.288 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log 2.0))) into (- (* 0.5 (log 2.0))) 10.296 * [backup-simplify]: Simplify (* (exp (* 0.5 (log 2.0))) (+ (* (/ (pow (- (* 0.5 (log 2.0))) 1) 1)))) into (* -0.5 (* (log 2.0) (pow (pow 2.0 1.0) 0.5))) 10.302 * [backup-simplify]: Simplify (+ (* (pow 2.0 0.5) (* -0.5 (* (pow (pow n 1.0) 0.5) (log n)))) (* (* -0.5 (* (log 2.0) (pow (pow 2.0 1.0) 0.5))) (pow n 0.5))) into (- (+ (* 0.5 (* (log n) (pow (* (pow n 1.0) (pow 2.0 1.0)) 0.5))) (* 0.5 (* (log 2.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 0.5))))) 10.304 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 10.304 * [backup-simplify]: Simplify (- 1) into -1 10.304 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.306 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 10.316 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log PI))) into (- (* 0.5 (log PI))) 10.326 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 1) 1)))) into (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) 10.331 * [backup-simplify]: Simplify (+ (* (pow PI 0.5) (- (+ (* 0.5 (* (log n) (pow (* (pow n 1.0) (pow 2.0 1.0)) 0.5))) (* 0.5 (* (log 2.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 0.5)))))) (* (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) (pow (* (pow n 1.0) (pow 2.0 1.0)) 0.5))) into (- (+ (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) (+ (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))) 10.331 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) (+ (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))) in n 10.331 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) (+ (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) in n 10.331 * [taylor]: Taking taylor expansion of (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) in n 10.331 * [taylor]: Taking taylor expansion of 0.5 in n 10.331 * [backup-simplify]: Simplify 0.5 into 0.5 10.331 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI)) in n 10.331 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 10.331 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 10.331 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 10.331 * [taylor]: Taking taylor expansion of 0.5 in n 10.331 * [backup-simplify]: Simplify 0.5 into 0.5 10.331 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 10.331 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 10.331 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 10.331 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 10.331 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 10.331 * [taylor]: Taking taylor expansion of 1.0 in n 10.331 * [backup-simplify]: Simplify 1.0 into 1.0 10.331 * [taylor]: Taking taylor expansion of (log 2.0) in n 10.331 * [taylor]: Taking taylor expansion of 2.0 in n 10.331 * [backup-simplify]: Simplify 2.0 into 2.0 10.331 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 10.332 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 10.333 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 10.333 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 10.333 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 10.333 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 10.333 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 10.333 * [taylor]: Taking taylor expansion of 1.0 in n 10.333 * [backup-simplify]: Simplify 1.0 into 1.0 10.333 * [taylor]: Taking taylor expansion of (log n) in n 10.333 * [taylor]: Taking taylor expansion of n in n 10.333 * [backup-simplify]: Simplify 0 into 0 10.333 * [backup-simplify]: Simplify 1 into 1 10.333 * [backup-simplify]: Simplify (log 1) into 0 10.334 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 10.334 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 10.334 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 10.334 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 10.334 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 10.334 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 10.334 * [taylor]: Taking taylor expansion of 1.0 in n 10.334 * [backup-simplify]: Simplify 1.0 into 1.0 10.334 * [taylor]: Taking taylor expansion of (log PI) in n 10.334 * [taylor]: Taking taylor expansion of PI in n 10.334 * [backup-simplify]: Simplify PI into PI 10.334 * [backup-simplify]: Simplify (log PI) into (log PI) 10.335 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 10.336 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 10.336 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 10.337 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 10.338 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 10.339 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 10.339 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 10.339 * [taylor]: Taking taylor expansion of (log PI) in n 10.339 * [taylor]: Taking taylor expansion of PI in n 10.339 * [backup-simplify]: Simplify PI into PI 10.340 * [backup-simplify]: Simplify (log PI) into (log PI) 10.340 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) in n 10.340 * [taylor]: Taking taylor expansion of (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 10.340 * [taylor]: Taking taylor expansion of 0.5 in n 10.340 * [backup-simplify]: Simplify 0.5 into 0.5 10.340 * [taylor]: Taking taylor expansion of (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 10.340 * [taylor]: Taking taylor expansion of (log n) in n 10.340 * [taylor]: Taking taylor expansion of n in n 10.340 * [backup-simplify]: Simplify 0 into 0 10.340 * [backup-simplify]: Simplify 1 into 1 10.340 * [backup-simplify]: Simplify (log 1) into 0 10.340 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 10.340 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 10.340 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 10.340 * [taylor]: Taking taylor expansion of 0.5 in n 10.340 * [backup-simplify]: Simplify 0.5 into 0.5 10.340 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 10.340 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 10.340 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 10.340 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 10.340 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 10.340 * [taylor]: Taking taylor expansion of 1.0 in n 10.340 * [backup-simplify]: Simplify 1.0 into 1.0 10.340 * [taylor]: Taking taylor expansion of (log PI) in n 10.340 * [taylor]: Taking taylor expansion of PI in n 10.341 * [backup-simplify]: Simplify PI into PI 10.341 * [backup-simplify]: Simplify (log PI) into (log PI) 10.341 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 10.342 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 10.342 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 10.342 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 10.342 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 10.342 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 10.342 * [taylor]: Taking taylor expansion of 1.0 in n 10.342 * [backup-simplify]: Simplify 1.0 into 1.0 10.343 * [taylor]: Taking taylor expansion of (log n) in n 10.343 * [taylor]: Taking taylor expansion of n in n 10.343 * [backup-simplify]: Simplify 0 into 0 10.343 * [backup-simplify]: Simplify 1 into 1 10.343 * [backup-simplify]: Simplify (log 1) into 0 10.343 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 10.343 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 10.343 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 10.343 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 10.343 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 10.343 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 10.343 * [taylor]: Taking taylor expansion of 1.0 in n 10.343 * [backup-simplify]: Simplify 1.0 into 1.0 10.343 * [taylor]: Taking taylor expansion of (log 2.0) in n 10.343 * [taylor]: Taking taylor expansion of 2.0 in n 10.343 * [backup-simplify]: Simplify 2.0 into 2.0 10.344 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 10.344 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 10.345 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 10.346 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 10.346 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 10.347 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 10.348 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 10.349 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 10.349 * [taylor]: Taking taylor expansion of (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 10.349 * [taylor]: Taking taylor expansion of 0.5 in n 10.349 * [backup-simplify]: Simplify 0.5 into 0.5 10.349 * [taylor]: Taking taylor expansion of (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 10.349 * [taylor]: Taking taylor expansion of (log 2.0) in n 10.349 * [taylor]: Taking taylor expansion of 2.0 in n 10.349 * [backup-simplify]: Simplify 2.0 into 2.0 10.350 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 10.350 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 10.350 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 10.350 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 10.350 * [taylor]: Taking taylor expansion of 0.5 in n 10.350 * [backup-simplify]: Simplify 0.5 into 0.5 10.350 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 10.350 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 10.350 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 10.350 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 10.350 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 10.350 * [taylor]: Taking taylor expansion of 1.0 in n 10.350 * [backup-simplify]: Simplify 1.0 into 1.0 10.350 * [taylor]: Taking taylor expansion of (log 2.0) in n 10.350 * [taylor]: Taking taylor expansion of 2.0 in n 10.350 * [backup-simplify]: Simplify 2.0 into 2.0 10.350 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 10.351 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 10.352 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 10.352 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 10.352 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 10.352 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 10.352 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 10.352 * [taylor]: Taking taylor expansion of 1.0 in n 10.352 * [backup-simplify]: Simplify 1.0 into 1.0 10.352 * [taylor]: Taking taylor expansion of (log n) in n 10.352 * [taylor]: Taking taylor expansion of n in n 10.352 * [backup-simplify]: Simplify 0 into 0 10.352 * [backup-simplify]: Simplify 1 into 1 10.352 * [backup-simplify]: Simplify (log 1) into 0 10.352 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 10.352 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 10.352 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 10.352 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 10.352 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 10.353 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 10.353 * [taylor]: Taking taylor expansion of 1.0 in n 10.353 * [backup-simplify]: Simplify 1.0 into 1.0 10.353 * [taylor]: Taking taylor expansion of (log PI) in n 10.353 * [taylor]: Taking taylor expansion of PI in n 10.353 * [backup-simplify]: Simplify PI into PI 10.353 * [backup-simplify]: Simplify (log PI) into (log PI) 10.353 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 10.354 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 10.355 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 10.357 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 10.358 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 10.359 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 10.361 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 10.363 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (log PI)) into (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI)) 10.365 * [backup-simplify]: Simplify (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) into (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log PI))) 10.365 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 10.367 * [backup-simplify]: Simplify (* (log n) (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)) 10.368 * [backup-simplify]: Simplify (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) into (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 10.370 * [backup-simplify]: Simplify (* (log 2.0) (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 10.372 * [backup-simplify]: Simplify (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (* 0.5 (* (log 2.0) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 10.375 * [backup-simplify]: Simplify (+ (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log 2.0) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) into (+ (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) 10.381 * [backup-simplify]: Simplify (+ (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log PI))) (+ (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) into (+ (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) (+ (* 0.5 (* (log 2.0) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) 10.386 * [backup-simplify]: Simplify (- (+ (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) (+ (* 0.5 (* (log 2.0) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))) into (- (+ (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log PI))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))) 10.392 * [backup-simplify]: Simplify (- (+ (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log PI))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))) into (- (+ (* 0.5 (* (log 2.0) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))) 10.394 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 10.395 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 10.396 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 10.398 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.399 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 10.399 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0 10.400 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 10.401 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow PI 1.0))) into 0 10.403 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 10.403 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 10.405 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 10.407 * [backup-simplify]: Simplify (+ (* (pow 2.0 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow PI 1.0)) 1.0))) into 0 10.409 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1)))) 1) into 0 10.411 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)))) into 0 10.413 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 10.413 * [backup-simplify]: Simplify 0 into 0 10.415 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 10.415 * [backup-simplify]: Simplify (- 0) into 0 10.416 * [backup-simplify]: Simplify (+ 0 0) into 0 10.417 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 10.418 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log n)))) into 0 10.419 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 10.422 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2.0 1)))) 2) into 0 10.423 * [backup-simplify]: Simplify (- 0) into 0 10.423 * [backup-simplify]: Simplify (+ 0 0) into 0 10.424 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 10.426 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log 2.0)))) into 0 10.437 * [backup-simplify]: Simplify (* (exp (* 0.5 (log 2.0))) (+ (* (/ (pow (- (* 0.5 (log 2.0))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log 2.0) 2) (pow (pow 2.0 1.0) 0.5))) 10.447 * [backup-simplify]: Simplify (+ (* (pow 2.0 0.5) (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2)))) (+ (* (* -0.5 (* (log 2.0) (pow (pow 2.0 1.0) 0.5))) (* -0.5 (* (pow (pow n 1.0) 0.5) (log n)))) (* (* 0.125 (* (pow (log 2.0) 2) (pow (pow 2.0 1.0) 0.5))) (pow n 0.5)))) into (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow n 1.0) (pow 2.0 1.0)) 0.5))) (+ (* 0.25 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (pow n 1.0)) 0.5))) (* 0.125 (* (pow (log n) 2) (pow (* (pow n 1.0) (pow 2.0 1.0)) 0.5))))) 10.458 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 10.459 * [backup-simplify]: Simplify (- 0) into 0 10.459 * [backup-simplify]: Simplify (+ 0 0) into 0 10.461 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 10.462 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log PI)))) into 0 10.474 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) 10.490 * [backup-simplify]: Simplify (+ (* (pow PI 0.5) (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow n 1.0) (pow 2.0 1.0)) 0.5))) (+ (* 0.25 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (pow n 1.0)) 0.5))) (* 0.125 (* (pow (log n) 2) (pow (* (pow n 1.0) (pow 2.0 1.0)) 0.5)))))) (+ (* (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) (- (+ (* 0.5 (* (log n) (pow (* (pow n 1.0) (pow 2.0 1.0)) 0.5))) (* 0.5 (* (log 2.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 0.5)))))) (* (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) (pow (* (pow n 1.0) (pow 2.0 1.0)) 0.5)))) into (+ (* 0.25 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (+ (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* (log n) (log PI)))) (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2)))))))) 10.491 * [taylor]: Taking taylor expansion of (+ (* 0.25 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (+ (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* (log n) (log PI)))) (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2)))))))) in n 10.491 * [taylor]: Taking taylor expansion of (* 0.25 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) in n 10.491 * [taylor]: Taking taylor expansion of 0.25 in n 10.491 * [backup-simplify]: Simplify 0.25 into 0.25 10.491 * [taylor]: Taking taylor expansion of (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) in n 10.491 * [taylor]: Taking taylor expansion of (* (log 2.0) (log n)) in n 10.491 * [taylor]: Taking taylor expansion of (log 2.0) in n 10.491 * [taylor]: Taking taylor expansion of 2.0 in n 10.491 * [backup-simplify]: Simplify 2.0 into 2.0 10.491 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 10.492 * [taylor]: Taking taylor expansion of (log n) in n 10.492 * [taylor]: Taking taylor expansion of n in n 10.492 * [backup-simplify]: Simplify 0 into 0 10.492 * [backup-simplify]: Simplify 1 into 1 10.492 * [backup-simplify]: Simplify (log 1) into 0 10.492 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 10.492 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 10.492 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 10.492 * [taylor]: Taking taylor expansion of 0.5 in n 10.492 * [backup-simplify]: Simplify 0.5 into 0.5 10.492 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 10.492 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 10.492 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 10.492 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 10.492 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 10.492 * [taylor]: Taking taylor expansion of 1.0 in n 10.492 * [backup-simplify]: Simplify 1.0 into 1.0 10.492 * [taylor]: Taking taylor expansion of (log 2.0) in n 10.493 * [taylor]: Taking taylor expansion of 2.0 in n 10.493 * [backup-simplify]: Simplify 2.0 into 2.0 10.493 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 10.494 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 10.495 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 10.495 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 10.495 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 10.496 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 10.496 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 10.496 * [taylor]: Taking taylor expansion of 1.0 in n 10.496 * [backup-simplify]: Simplify 1.0 into 1.0 10.496 * [taylor]: Taking taylor expansion of (log PI) in n 10.496 * [taylor]: Taking taylor expansion of PI in n 10.496 * [backup-simplify]: Simplify PI into PI 10.496 * [backup-simplify]: Simplify (log PI) into (log PI) 10.497 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 10.499 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 10.499 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 10.499 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 10.499 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 10.499 * [taylor]: Taking taylor expansion of 1.0 in n 10.499 * [backup-simplify]: Simplify 1.0 into 1.0 10.499 * [taylor]: Taking taylor expansion of (log n) in n 10.499 * [taylor]: Taking taylor expansion of n in n 10.499 * [backup-simplify]: Simplify 0 into 0 10.499 * [backup-simplify]: Simplify 1 into 1 10.499 * [backup-simplify]: Simplify (log 1) into 0 10.500 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 10.500 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 10.500 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 10.501 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 10.502 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 10.504 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 10.505 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 10.507 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 10.507 * [taylor]: Taking taylor expansion of (+ (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* (log n) (log PI)))) (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))))))) in n 10.507 * [taylor]: Taking taylor expansion of (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* (log n) (log PI)))) in n 10.507 * [taylor]: Taking taylor expansion of 0.25 in n 10.507 * [backup-simplify]: Simplify 0.25 into 0.25 10.507 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* (log n) (log PI))) in n 10.507 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 10.507 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 10.507 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 10.507 * [taylor]: Taking taylor expansion of 0.5 in n 10.507 * [backup-simplify]: Simplify 0.5 into 0.5 10.507 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 10.507 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 10.507 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 10.507 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 10.507 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 10.507 * [taylor]: Taking taylor expansion of 1.0 in n 10.507 * [backup-simplify]: Simplify 1.0 into 1.0 10.507 * [taylor]: Taking taylor expansion of (log 2.0) in n 10.507 * [taylor]: Taking taylor expansion of 2.0 in n 10.507 * [backup-simplify]: Simplify 2.0 into 2.0 10.508 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 10.509 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 10.511 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 10.511 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 10.511 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 10.511 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 10.511 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 10.511 * [taylor]: Taking taylor expansion of 1.0 in n 10.511 * [backup-simplify]: Simplify 1.0 into 1.0 10.511 * [taylor]: Taking taylor expansion of (log PI) in n 10.511 * [taylor]: Taking taylor expansion of PI in n 10.511 * [backup-simplify]: Simplify PI into PI 10.511 * [backup-simplify]: Simplify (log PI) into (log PI) 10.512 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 10.514 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 10.514 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 10.514 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 10.514 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 10.514 * [taylor]: Taking taylor expansion of 1.0 in n 10.514 * [backup-simplify]: Simplify 1.0 into 1.0 10.514 * [taylor]: Taking taylor expansion of (log n) in n 10.514 * [taylor]: Taking taylor expansion of n in n 10.514 * [backup-simplify]: Simplify 0 into 0 10.514 * [backup-simplify]: Simplify 1 into 1 10.515 * [backup-simplify]: Simplify (log 1) into 0 10.515 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 10.515 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 10.515 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 10.516 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 10.517 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 10.519 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 10.520 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 10.521 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 10.521 * [taylor]: Taking taylor expansion of (* (log n) (log PI)) in n 10.522 * [taylor]: Taking taylor expansion of (log n) in n 10.522 * [taylor]: Taking taylor expansion of n in n 10.522 * [backup-simplify]: Simplify 0 into 0 10.522 * [backup-simplify]: Simplify 1 into 1 10.522 * [backup-simplify]: Simplify (log 1) into 0 10.522 * [taylor]: Taking taylor expansion of (log PI) in n 10.522 * [taylor]: Taking taylor expansion of PI in n 10.522 * [backup-simplify]: Simplify PI into PI 10.523 * [backup-simplify]: Simplify (log PI) into (log PI) 10.523 * [taylor]: Taking taylor expansion of (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2)))))) in n 10.523 * [taylor]: Taking taylor expansion of (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 10.523 * [taylor]: Taking taylor expansion of 0.25 in n 10.523 * [backup-simplify]: Simplify 0.25 into 0.25 10.523 * [taylor]: Taking taylor expansion of (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 10.523 * [taylor]: Taking taylor expansion of (* (log 2.0) (log PI)) in n 10.523 * [taylor]: Taking taylor expansion of (log 2.0) in n 10.523 * [taylor]: Taking taylor expansion of 2.0 in n 10.523 * [backup-simplify]: Simplify 2.0 into 2.0 10.524 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 10.524 * [taylor]: Taking taylor expansion of (log PI) in n 10.524 * [taylor]: Taking taylor expansion of PI in n 10.524 * [backup-simplify]: Simplify PI into PI 10.525 * [backup-simplify]: Simplify (log PI) into (log PI) 10.525 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 10.525 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 10.525 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 10.525 * [taylor]: Taking taylor expansion of 0.5 in n 10.525 * [backup-simplify]: Simplify 0.5 into 0.5 10.525 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 10.525 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 10.525 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 10.525 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 10.525 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 10.525 * [taylor]: Taking taylor expansion of 1.0 in n 10.525 * [backup-simplify]: Simplify 1.0 into 1.0 10.525 * [taylor]: Taking taylor expansion of (log 2.0) in n 10.525 * [taylor]: Taking taylor expansion of 2.0 in n 10.525 * [backup-simplify]: Simplify 2.0 into 2.0 10.526 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 10.527 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 10.528 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 10.528 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 10.528 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 10.528 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 10.528 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 10.528 * [taylor]: Taking taylor expansion of 1.0 in n 10.528 * [backup-simplify]: Simplify 1.0 into 1.0 10.528 * [taylor]: Taking taylor expansion of (log n) in n 10.528 * [taylor]: Taking taylor expansion of n in n 10.528 * [backup-simplify]: Simplify 0 into 0 10.528 * [backup-simplify]: Simplify 1 into 1 10.529 * [backup-simplify]: Simplify (log 1) into 0 10.529 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 10.529 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 10.529 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 10.529 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 10.530 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 10.530 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 10.530 * [taylor]: Taking taylor expansion of 1.0 in n 10.530 * [backup-simplify]: Simplify 1.0 into 1.0 10.530 * [taylor]: Taking taylor expansion of (log PI) in n 10.530 * [taylor]: Taking taylor expansion of PI in n 10.530 * [backup-simplify]: Simplify PI into PI 10.530 * [backup-simplify]: Simplify (log PI) into (log PI) 10.531 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 10.533 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 10.534 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 10.535 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 10.536 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 10.538 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 10.539 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 10.539 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))))) in n 10.539 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 10.539 * [taylor]: Taking taylor expansion of 0.125 in n 10.539 * [backup-simplify]: Simplify 0.125 into 0.125 10.539 * [taylor]: Taking taylor expansion of (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 10.539 * [taylor]: Taking taylor expansion of (pow (log 2.0) 2) in n 10.539 * [taylor]: Taking taylor expansion of (log 2.0) in n 10.539 * [taylor]: Taking taylor expansion of 2.0 in n 10.540 * [backup-simplify]: Simplify 2.0 into 2.0 10.540 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 10.540 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 10.540 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 10.540 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 10.540 * [taylor]: Taking taylor expansion of 0.5 in n 10.540 * [backup-simplify]: Simplify 0.5 into 0.5 10.540 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 10.540 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 10.540 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 10.540 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 10.540 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 10.540 * [taylor]: Taking taylor expansion of 1.0 in n 10.540 * [backup-simplify]: Simplify 1.0 into 1.0 10.540 * [taylor]: Taking taylor expansion of (log PI) in n 10.540 * [taylor]: Taking taylor expansion of PI in n 10.540 * [backup-simplify]: Simplify PI into PI 10.541 * [backup-simplify]: Simplify (log PI) into (log PI) 10.542 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 10.544 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 10.544 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 10.544 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 10.544 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 10.544 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 10.544 * [taylor]: Taking taylor expansion of 1.0 in n 10.544 * [backup-simplify]: Simplify 1.0 into 1.0 10.544 * [taylor]: Taking taylor expansion of (log n) in n 10.544 * [taylor]: Taking taylor expansion of n in n 10.544 * [backup-simplify]: Simplify 0 into 0 10.544 * [backup-simplify]: Simplify 1 into 1 10.544 * [backup-simplify]: Simplify (log 1) into 0 10.545 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 10.545 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 10.545 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 10.545 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 10.545 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 10.545 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 10.545 * [taylor]: Taking taylor expansion of 1.0 in n 10.545 * [backup-simplify]: Simplify 1.0 into 1.0 10.545 * [taylor]: Taking taylor expansion of (log 2.0) in n 10.545 * [taylor]: Taking taylor expansion of 2.0 in n 10.545 * [backup-simplify]: Simplify 2.0 into 2.0 10.546 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 10.547 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 10.548 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 10.549 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 10.550 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 10.551 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 10.553 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 10.554 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 10.554 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2)))) in n 10.555 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) in n 10.555 * [taylor]: Taking taylor expansion of 0.125 in n 10.555 * [backup-simplify]: Simplify 0.125 into 0.125 10.555 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2)) in n 10.555 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 10.555 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 10.555 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 10.555 * [taylor]: Taking taylor expansion of 0.5 in n 10.555 * [backup-simplify]: Simplify 0.5 into 0.5 10.555 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 10.555 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 10.555 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 10.555 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 10.555 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 10.555 * [taylor]: Taking taylor expansion of 1.0 in n 10.555 * [backup-simplify]: Simplify 1.0 into 1.0 10.555 * [taylor]: Taking taylor expansion of (log 2.0) in n 10.555 * [taylor]: Taking taylor expansion of 2.0 in n 10.555 * [backup-simplify]: Simplify 2.0 into 2.0 10.556 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 10.557 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 10.558 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 10.559 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 10.559 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 10.559 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 10.559 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 10.559 * [taylor]: Taking taylor expansion of 1.0 in n 10.559 * [backup-simplify]: Simplify 1.0 into 1.0 10.559 * [taylor]: Taking taylor expansion of (log n) in n 10.559 * [taylor]: Taking taylor expansion of n in n 10.559 * [backup-simplify]: Simplify 0 into 0 10.559 * [backup-simplify]: Simplify 1 into 1 10.560 * [backup-simplify]: Simplify (log 1) into 0 10.560 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 10.560 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 10.560 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 10.560 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 10.560 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 10.560 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 10.560 * [taylor]: Taking taylor expansion of 1.0 in n 10.560 * [backup-simplify]: Simplify 1.0 into 1.0 10.561 * [taylor]: Taking taylor expansion of (log PI) in n 10.561 * [taylor]: Taking taylor expansion of PI in n 10.561 * [backup-simplify]: Simplify PI into PI 10.561 * [backup-simplify]: Simplify (log PI) into (log PI) 10.562 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 10.564 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 10.565 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 10.566 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 10.567 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 10.569 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 10.570 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 10.570 * [taylor]: Taking taylor expansion of (pow (log PI) 2) in n 10.570 * [taylor]: Taking taylor expansion of (log PI) in n 10.570 * [taylor]: Taking taylor expansion of PI in n 10.570 * [backup-simplify]: Simplify PI into PI 10.571 * [backup-simplify]: Simplify (log PI) into (log PI) 10.571 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) in n 10.571 * [taylor]: Taking taylor expansion of 0.125 in n 10.571 * [backup-simplify]: Simplify 0.125 into 0.125 10.571 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2)) in n 10.571 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 10.571 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 10.571 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 10.571 * [taylor]: Taking taylor expansion of 0.5 in n 10.571 * [backup-simplify]: Simplify 0.5 into 0.5 10.571 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 10.571 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 10.571 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 10.571 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 10.571 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 10.571 * [taylor]: Taking taylor expansion of 1.0 in n 10.571 * [backup-simplify]: Simplify 1.0 into 1.0 10.571 * [taylor]: Taking taylor expansion of (log 2.0) in n 10.571 * [taylor]: Taking taylor expansion of 2.0 in n 10.571 * [backup-simplify]: Simplify 2.0 into 2.0 10.572 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 10.572 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 10.574 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 10.574 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 10.574 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 10.574 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 10.574 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 10.574 * [taylor]: Taking taylor expansion of 1.0 in n 10.574 * [backup-simplify]: Simplify 1.0 into 1.0 10.574 * [taylor]: Taking taylor expansion of (log PI) in n 10.574 * [taylor]: Taking taylor expansion of PI in n 10.574 * [backup-simplify]: Simplify PI into PI 10.575 * [backup-simplify]: Simplify (log PI) into (log PI) 10.576 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 10.577 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 10.577 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 10.577 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 10.577 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 10.577 * [taylor]: Taking taylor expansion of 1.0 in n 10.577 * [backup-simplify]: Simplify 1.0 into 1.0 10.577 * [taylor]: Taking taylor expansion of (log n) in n 10.577 * [taylor]: Taking taylor expansion of n in n 10.577 * [backup-simplify]: Simplify 0 into 0 10.577 * [backup-simplify]: Simplify 1 into 1 10.578 * [backup-simplify]: Simplify (log 1) into 0 10.578 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 10.578 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 10.578 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 10.579 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 10.580 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 10.582 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 10.583 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 10.584 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 10.584 * [taylor]: Taking taylor expansion of (pow (log n) 2) in n 10.584 * [taylor]: Taking taylor expansion of (log n) in n 10.584 * [taylor]: Taking taylor expansion of n in n 10.584 * [backup-simplify]: Simplify 0 into 0 10.584 * [backup-simplify]: Simplify 1 into 1 10.585 * [backup-simplify]: Simplify (log 1) into 0 10.585 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 10.586 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 10.586 * [backup-simplify]: Simplify (* (log 2.0) (log n)) into (* (log 2.0) (log n)) 10.588 * [backup-simplify]: Simplify (* (* (log 2.0) (log n)) (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) 10.590 * [backup-simplify]: Simplify (* 0.25 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) into (* 0.25 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) 10.590 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 10.591 * [backup-simplify]: Simplify (* (log n) (log PI)) into (* (log n) (log PI)) 10.592 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (* (log n) (log PI))) into (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log n) (log PI))) 10.593 * [backup-simplify]: Simplify (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log n) (log PI)))) into (* 0.25 (* (* (log n) (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 10.594 * [backup-simplify]: Simplify (* (log 2.0) (log PI)) into (* (log 2.0) (log PI)) 10.596 * [backup-simplify]: Simplify (* (* (log 2.0) (log PI)) (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 10.598 * [backup-simplify]: Simplify (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 10.598 * [backup-simplify]: Simplify (* (log 2.0) (log 2.0)) into (pow (log 2.0) 2) 10.600 * [backup-simplify]: Simplify (* (pow (log 2.0) 2) (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 10.601 * [backup-simplify]: Simplify (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) into (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 10.602 * [backup-simplify]: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 10.604 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (pow (log PI) 2)) into (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2)) 10.606 * [backup-simplify]: Simplify (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) into (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log PI) 2))) 10.606 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 10.606 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 10.606 * [backup-simplify]: Simplify (* (log n) (log n)) into (pow (log n) 2) 10.614 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (pow (log n) 2)) into (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2)) 10.615 * [backup-simplify]: Simplify (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2))) into (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 10.618 * [backup-simplify]: Simplify (+ (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log PI) 2))) (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) into (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2)))) 10.622 * [backup-simplify]: Simplify (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))))) into (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log PI) 2))))) 10.629 * [backup-simplify]: Simplify (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log PI) 2)))))) into (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))) 10.642 * [backup-simplify]: Simplify (+ (* 0.25 (* (* (log n) (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))) into (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (log n) (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log PI) 2))))))) 10.658 * [backup-simplify]: Simplify (+ (* 0.25 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (log n) (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log PI) 2)))))))) into (+ (* 0.25 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (+ (* 0.25 (* (* (log n) (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) 10.673 * [backup-simplify]: Simplify (+ (* 0.25 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (+ (* 0.25 (* (* (log n) (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) into (+ (* 0.25 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (log n) (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log PI) 2)))))))) 10.699 * [backup-simplify]: Simplify (+ (* (+ (* 0.25 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (log n) (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log PI) 2)))))))) (pow (* 1 k) 2)) (+ (* (- (+ (* 0.5 (* (log 2.0) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))) (* 1 k)) (pow (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log PI) 2)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (pow k 2) (* (log 2.0) (log n))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (pow (pow (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5) (+ (* 0.25 (* (* (pow k 2) (* (log 2.0) (log PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (* (pow k 2) (pow (log 2.0) 2)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (* 0.25 (* (* (pow k 2) (* (log n) (log PI))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))))))))) (+ (* 0.5 (* (* k (log 2.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.5 (* (* k (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)))))) 10.700 * [backup-simplify]: Simplify (* (* (pow 2.0 (/ (- 1.0 (/ 1 k)) 2.0)) (pow PI (/ (- 1.0 (/ 1 k)) 2.0))) (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0))) into (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k)))))) 10.700 * [approximate]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k)))))) in (k n) around 0 10.700 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k)))))) in n 10.700 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in n 10.700 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in n 10.700 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in n 10.700 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 10.700 * [taylor]: Taking taylor expansion of 0.5 in n 10.700 * [backup-simplify]: Simplify 0.5 into 0.5 10.700 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 10.700 * [taylor]: Taking taylor expansion of 1.0 in n 10.700 * [backup-simplify]: Simplify 1.0 into 1.0 10.700 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.700 * [taylor]: Taking taylor expansion of k in n 10.700 * [backup-simplify]: Simplify k into k 10.700 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 10.700 * [taylor]: Taking taylor expansion of (log 2.0) in n 10.700 * [taylor]: Taking taylor expansion of 2.0 in n 10.700 * [backup-simplify]: Simplify 2.0 into 2.0 10.701 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 10.701 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 10.701 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 10.701 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 10.702 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) into (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))) 10.702 * [backup-simplify]: Simplify (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 10.702 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in n 10.702 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 10.702 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 10.702 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 10.702 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 10.703 * [taylor]: Taking taylor expansion of 0.5 in n 10.703 * [backup-simplify]: Simplify 0.5 into 0.5 10.703 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 10.703 * [taylor]: Taking taylor expansion of 1.0 in n 10.703 * [backup-simplify]: Simplify 1.0 into 1.0 10.703 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.703 * [taylor]: Taking taylor expansion of k in n 10.703 * [backup-simplify]: Simplify k into k 10.703 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 10.703 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 10.703 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.703 * [taylor]: Taking taylor expansion of n in n 10.703 * [backup-simplify]: Simplify 0 into 0 10.703 * [backup-simplify]: Simplify 1 into 1 10.703 * [backup-simplify]: Simplify (/ 1 1) into 1 10.704 * [backup-simplify]: Simplify (log 1) into 0 10.704 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 10.704 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 10.704 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 10.705 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 10.705 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 10.705 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 10.705 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in n 10.705 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in n 10.705 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in n 10.705 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 10.705 * [taylor]: Taking taylor expansion of 0.5 in n 10.705 * [backup-simplify]: Simplify 0.5 into 0.5 10.705 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 10.705 * [taylor]: Taking taylor expansion of 1.0 in n 10.705 * [backup-simplify]: Simplify 1.0 into 1.0 10.705 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.705 * [taylor]: Taking taylor expansion of k in n 10.705 * [backup-simplify]: Simplify k into k 10.705 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 10.705 * [taylor]: Taking taylor expansion of (log PI) in n 10.705 * [taylor]: Taking taylor expansion of PI in n 10.705 * [backup-simplify]: Simplify PI into PI 10.706 * [backup-simplify]: Simplify (log PI) into (log PI) 10.706 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 10.706 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 10.706 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 10.707 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) into (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))) 10.707 * [backup-simplify]: Simplify (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 10.707 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k)))))) in k 10.707 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in k 10.707 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in k 10.707 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in k 10.707 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 10.708 * [taylor]: Taking taylor expansion of 0.5 in k 10.708 * [backup-simplify]: Simplify 0.5 into 0.5 10.708 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 10.708 * [taylor]: Taking taylor expansion of 1.0 in k 10.708 * [backup-simplify]: Simplify 1.0 into 1.0 10.708 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.708 * [taylor]: Taking taylor expansion of k in k 10.708 * [backup-simplify]: Simplify 0 into 0 10.708 * [backup-simplify]: Simplify 1 into 1 10.708 * [backup-simplify]: Simplify (/ 1 1) into 1 10.708 * [taylor]: Taking taylor expansion of (log 2.0) in k 10.708 * [taylor]: Taking taylor expansion of 2.0 in k 10.708 * [backup-simplify]: Simplify 2.0 into 2.0 10.709 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 10.709 * [backup-simplify]: Simplify (- 1) into -1 10.709 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.710 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 10.711 * [backup-simplify]: Simplify (* -0.5 (log 2.0)) into (* -0.5 (log 2.0)) 10.711 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) into (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 10.711 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in k 10.711 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 10.711 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 10.711 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 10.711 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 10.711 * [taylor]: Taking taylor expansion of 0.5 in k 10.711 * [backup-simplify]: Simplify 0.5 into 0.5 10.712 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 10.712 * [taylor]: Taking taylor expansion of 1.0 in k 10.712 * [backup-simplify]: Simplify 1.0 into 1.0 10.712 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.712 * [taylor]: Taking taylor expansion of k in k 10.712 * [backup-simplify]: Simplify 0 into 0 10.712 * [backup-simplify]: Simplify 1 into 1 10.712 * [backup-simplify]: Simplify (/ 1 1) into 1 10.712 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 10.712 * [taylor]: Taking taylor expansion of (/ 1 n) in k 10.712 * [taylor]: Taking taylor expansion of n in k 10.712 * [backup-simplify]: Simplify n into n 10.712 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.712 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 10.713 * [backup-simplify]: Simplify (- 1) into -1 10.713 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.713 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 10.714 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 10.714 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 10.714 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 10.714 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 10.714 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 10.714 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 10.714 * [taylor]: Taking taylor expansion of 0.5 in k 10.714 * [backup-simplify]: Simplify 0.5 into 0.5 10.714 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 10.714 * [taylor]: Taking taylor expansion of 1.0 in k 10.714 * [backup-simplify]: Simplify 1.0 into 1.0 10.714 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.714 * [taylor]: Taking taylor expansion of k in k 10.714 * [backup-simplify]: Simplify 0 into 0 10.714 * [backup-simplify]: Simplify 1 into 1 10.715 * [backup-simplify]: Simplify (/ 1 1) into 1 10.715 * [taylor]: Taking taylor expansion of (log PI) in k 10.715 * [taylor]: Taking taylor expansion of PI in k 10.715 * [backup-simplify]: Simplify PI into PI 10.715 * [backup-simplify]: Simplify (log PI) into (log PI) 10.716 * [backup-simplify]: Simplify (- 1) into -1 10.716 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.716 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 10.717 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 10.718 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 10.718 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k)))))) in k 10.718 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in k 10.718 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in k 10.718 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in k 10.718 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 10.718 * [taylor]: Taking taylor expansion of 0.5 in k 10.718 * [backup-simplify]: Simplify 0.5 into 0.5 10.718 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 10.718 * [taylor]: Taking taylor expansion of 1.0 in k 10.718 * [backup-simplify]: Simplify 1.0 into 1.0 10.718 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.718 * [taylor]: Taking taylor expansion of k in k 10.718 * [backup-simplify]: Simplify 0 into 0 10.718 * [backup-simplify]: Simplify 1 into 1 10.719 * [backup-simplify]: Simplify (/ 1 1) into 1 10.719 * [taylor]: Taking taylor expansion of (log 2.0) in k 10.719 * [taylor]: Taking taylor expansion of 2.0 in k 10.719 * [backup-simplify]: Simplify 2.0 into 2.0 10.719 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 10.719 * [backup-simplify]: Simplify (- 1) into -1 10.719 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.720 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 10.721 * [backup-simplify]: Simplify (* -0.5 (log 2.0)) into (* -0.5 (log 2.0)) 10.721 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) into (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 10.721 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in k 10.721 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 10.721 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 10.721 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 10.721 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 10.721 * [taylor]: Taking taylor expansion of 0.5 in k 10.721 * [backup-simplify]: Simplify 0.5 into 0.5 10.721 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 10.721 * [taylor]: Taking taylor expansion of 1.0 in k 10.721 * [backup-simplify]: Simplify 1.0 into 1.0 10.721 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.721 * [taylor]: Taking taylor expansion of k in k 10.721 * [backup-simplify]: Simplify 0 into 0 10.721 * [backup-simplify]: Simplify 1 into 1 10.721 * [backup-simplify]: Simplify (/ 1 1) into 1 10.721 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 10.721 * [taylor]: Taking taylor expansion of (/ 1 n) in k 10.721 * [taylor]: Taking taylor expansion of n in k 10.721 * [backup-simplify]: Simplify n into n 10.722 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.722 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 10.722 * [backup-simplify]: Simplify (- 1) into -1 10.722 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.722 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 10.722 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 10.723 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 10.723 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 10.723 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 10.723 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 10.723 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 10.723 * [taylor]: Taking taylor expansion of 0.5 in k 10.723 * [backup-simplify]: Simplify 0.5 into 0.5 10.723 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 10.723 * [taylor]: Taking taylor expansion of 1.0 in k 10.723 * [backup-simplify]: Simplify 1.0 into 1.0 10.723 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.723 * [taylor]: Taking taylor expansion of k in k 10.723 * [backup-simplify]: Simplify 0 into 0 10.723 * [backup-simplify]: Simplify 1 into 1 10.723 * [backup-simplify]: Simplify (/ 1 1) into 1 10.723 * [taylor]: Taking taylor expansion of (log PI) in k 10.723 * [taylor]: Taking taylor expansion of PI in k 10.723 * [backup-simplify]: Simplify PI into PI 10.723 * [backup-simplify]: Simplify (log PI) into (log PI) 10.724 * [backup-simplify]: Simplify (- 1) into -1 10.724 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.724 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 10.725 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 10.725 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 10.726 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))))) into (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))))) 10.727 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))))) into (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))) 10.727 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))) in n 10.727 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 10.727 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 10.727 * [taylor]: Taking taylor expansion of 0.5 in n 10.727 * [backup-simplify]: Simplify 0.5 into 0.5 10.727 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 10.727 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 10.727 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.727 * [taylor]: Taking taylor expansion of n in n 10.727 * [backup-simplify]: Simplify 0 into 0 10.727 * [backup-simplify]: Simplify 1 into 1 10.727 * [backup-simplify]: Simplify (/ 1 1) into 1 10.727 * [backup-simplify]: Simplify (log 1) into 0 10.727 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 10.727 * [taylor]: Taking taylor expansion of 1.0 in n 10.727 * [backup-simplify]: Simplify 1.0 into 1.0 10.727 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.727 * [taylor]: Taking taylor expansion of k in n 10.727 * [backup-simplify]: Simplify k into k 10.727 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 10.728 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 10.728 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 10.728 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 10.728 * [backup-simplify]: Simplify (* (- (log n)) (- 1.0 (/ 1 k))) into (* -1 (* (log n) (- 1.0 (/ 1 k)))) 10.728 * [backup-simplify]: Simplify (* 0.5 (* -1 (* (log n) (- 1.0 (/ 1 k))))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 10.728 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 10.728 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))) in n 10.728 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) in n 10.728 * [taylor]: Taking taylor expansion of (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))) in n 10.728 * [taylor]: Taking taylor expansion of 0.5 in n 10.728 * [backup-simplify]: Simplify 0.5 into 0.5 10.728 * [taylor]: Taking taylor expansion of (* (log PI) (- 1.0 (/ 1 k))) in n 10.728 * [taylor]: Taking taylor expansion of (log PI) in n 10.728 * [taylor]: Taking taylor expansion of PI in n 10.728 * [backup-simplify]: Simplify PI into PI 10.729 * [backup-simplify]: Simplify (log PI) into (log PI) 10.729 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 10.729 * [taylor]: Taking taylor expansion of 1.0 in n 10.729 * [backup-simplify]: Simplify 1.0 into 1.0 10.729 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.729 * [taylor]: Taking taylor expansion of k in n 10.729 * [backup-simplify]: Simplify k into k 10.729 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 10.729 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 10.729 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 10.729 * [backup-simplify]: Simplify (* (log PI) (- 1.0 (/ 1 k))) into (* (- 1.0 (/ 1 k)) (log PI)) 10.730 * [backup-simplify]: Simplify (* 0.5 (* (- 1.0 (/ 1 k)) (log PI))) into (* 0.5 (* (- 1.0 (/ 1 k)) (log PI))) 10.730 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) 10.730 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) in n 10.730 * [taylor]: Taking taylor expansion of (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))) in n 10.730 * [taylor]: Taking taylor expansion of 0.5 in n 10.730 * [backup-simplify]: Simplify 0.5 into 0.5 10.730 * [taylor]: Taking taylor expansion of (* (log 2.0) (- 1.0 (/ 1 k))) in n 10.730 * [taylor]: Taking taylor expansion of (log 2.0) in n 10.730 * [taylor]: Taking taylor expansion of 2.0 in n 10.730 * [backup-simplify]: Simplify 2.0 into 2.0 10.730 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 10.730 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 10.730 * [taylor]: Taking taylor expansion of 1.0 in n 10.730 * [backup-simplify]: Simplify 1.0 into 1.0 10.730 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.730 * [taylor]: Taking taylor expansion of k in n 10.731 * [backup-simplify]: Simplify k into k 10.731 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 10.731 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 10.731 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 10.731 * [backup-simplify]: Simplify (* (log 2.0) (- 1.0 (/ 1 k))) into (* (log 2.0) (- 1.0 (/ 1 k))) 10.731 * [backup-simplify]: Simplify (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))) into (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))) 10.732 * [backup-simplify]: Simplify (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 10.732 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))) into (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))) 10.733 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))) into (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))) 10.734 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))) into (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))) 10.735 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 0) (* 0 (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))))) into 0 10.736 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 0) (* 0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))))))) into 0 10.736 * [taylor]: Taking taylor expansion of 0 in n 10.736 * [backup-simplify]: Simplify 0 into 0 10.736 * [backup-simplify]: Simplify 0 into 0 10.736 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 10.736 * [backup-simplify]: Simplify (- 0) into 0 10.736 * [backup-simplify]: Simplify (+ 0 0) into 0 10.737 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 10.738 * [backup-simplify]: Simplify (+ (* (log 2.0) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 10.738 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (log 2.0) (- 1.0 (/ 1 k))))) into 0 10.739 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 10.739 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 10.739 * [backup-simplify]: Simplify (- 0) into 0 10.740 * [backup-simplify]: Simplify (+ 0 0) into 0 10.740 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 10.741 * [backup-simplify]: Simplify (+ (* (log PI) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 10.742 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- 1.0 (/ 1 k)) (log PI)))) into 0 10.742 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) (+ (* (/ (pow 0 1) 1)))) into 0 10.748 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) 0) (* 0 (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))) into 0 10.749 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 10.749 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 10.749 * [backup-simplify]: Simplify (- 0) into 0 10.749 * [backup-simplify]: Simplify (+ 0 0) into 0 10.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.751 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.751 * [backup-simplify]: Simplify (+ (* (- (log n)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 10.752 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* -1 (* (log n) (- 1.0 (/ 1 k)))))) into 0 10.753 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 10.755 * [backup-simplify]: Simplify (+ (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 0) (* 0 (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) into 0 10.755 * [backup-simplify]: Simplify 0 into 0 10.756 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))))))) into 0 10.758 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))))))) into 0 10.758 * [taylor]: Taking taylor expansion of 0 in n 10.758 * [backup-simplify]: Simplify 0 into 0 10.758 * [backup-simplify]: Simplify 0 into 0 10.758 * [backup-simplify]: Simplify 0 into 0 10.758 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 10.759 * [backup-simplify]: Simplify (- 0) into 0 10.759 * [backup-simplify]: Simplify (+ 0 0) into 0 10.762 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2.0 1)))) 2) into 0 10.764 * [backup-simplify]: Simplify (+ (* (log 2.0) 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 10.765 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (log 2.0) (- 1.0 (/ 1 k)))))) into 0 10.767 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.767 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 10.767 * [backup-simplify]: Simplify (- 0) into 0 10.767 * [backup-simplify]: Simplify (+ 0 0) into 0 10.769 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 10.770 * [backup-simplify]: Simplify (+ (* (log PI) 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 10.771 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (- 1.0 (/ 1 k)) (log PI))))) into 0 10.772 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.773 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) into 0 10.774 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 10.774 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 10.774 * [backup-simplify]: Simplify (- 0) into 0 10.774 * [backup-simplify]: Simplify (+ 0 0) into 0 10.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.776 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 10.777 * [backup-simplify]: Simplify (+ (* (- (log n)) 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 10.777 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* -1 (* (log n) (- 1.0 (/ 1 k))))))) into 0 10.778 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.779 * [backup-simplify]: Simplify (+ (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) into 0 10.779 * [backup-simplify]: Simplify 0 into 0 10.780 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))))))) into 0 10.782 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))))))))) into 0 10.782 * [taylor]: Taking taylor expansion of 0 in n 10.782 * [backup-simplify]: Simplify 0 into 0 10.782 * [backup-simplify]: Simplify 0 into 0 10.783 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (log PI)))) (* (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 (/ 1 k)))))))) into (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (* (exp (* 0.5 (* (- 1.0 k) (log PI)))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))))) 10.783 * [backup-simplify]: Simplify (* (* (pow 2.0 (/ (- 1.0 (/ 1 (- k))) 2.0)) (pow PI (/ (- 1.0 (/ 1 (- k))) 2.0))) (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0))) into (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0))))) 10.783 * [approximate]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0))))) in (k n) around 0 10.783 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0))))) in n 10.783 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 10.783 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 10.783 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 10.783 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 10.783 * [taylor]: Taking taylor expansion of 0.5 in n 10.783 * [backup-simplify]: Simplify 0.5 into 0.5 10.783 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 10.783 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.783 * [taylor]: Taking taylor expansion of k in n 10.783 * [backup-simplify]: Simplify k into k 10.783 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 10.783 * [taylor]: Taking taylor expansion of 1.0 in n 10.784 * [backup-simplify]: Simplify 1.0 into 1.0 10.784 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 10.784 * [taylor]: Taking taylor expansion of (/ -1 n) in n 10.784 * [taylor]: Taking taylor expansion of -1 in n 10.784 * [backup-simplify]: Simplify -1 into -1 10.784 * [taylor]: Taking taylor expansion of n in n 10.784 * [backup-simplify]: Simplify 0 into 0 10.784 * [backup-simplify]: Simplify 1 into 1 10.784 * [backup-simplify]: Simplify (/ -1 1) into -1 10.784 * [backup-simplify]: Simplify (log -1) into (log -1) 10.784 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 10.784 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 10.785 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 10.785 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 10.786 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 10.786 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in n 10.786 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in n 10.786 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in n 10.786 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in n 10.786 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 10.786 * [taylor]: Taking taylor expansion of 0.5 in n 10.786 * [backup-simplify]: Simplify 0.5 into 0.5 10.786 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 10.786 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.786 * [taylor]: Taking taylor expansion of k in n 10.786 * [backup-simplify]: Simplify k into k 10.786 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 10.786 * [taylor]: Taking taylor expansion of 1.0 in n 10.786 * [backup-simplify]: Simplify 1.0 into 1.0 10.786 * [taylor]: Taking taylor expansion of (log 2.0) in n 10.786 * [taylor]: Taking taylor expansion of 2.0 in n 10.786 * [backup-simplify]: Simplify 2.0 into 2.0 10.786 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 10.786 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 10.786 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 10.787 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) into (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))) 10.787 * [backup-simplify]: Simplify (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 10.787 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in n 10.787 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in n 10.787 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in n 10.787 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 10.787 * [taylor]: Taking taylor expansion of 0.5 in n 10.787 * [backup-simplify]: Simplify 0.5 into 0.5 10.787 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 10.787 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.787 * [taylor]: Taking taylor expansion of k in n 10.787 * [backup-simplify]: Simplify k into k 10.787 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 10.787 * [taylor]: Taking taylor expansion of 1.0 in n 10.787 * [backup-simplify]: Simplify 1.0 into 1.0 10.787 * [taylor]: Taking taylor expansion of (log PI) in n 10.787 * [taylor]: Taking taylor expansion of PI in n 10.787 * [backup-simplify]: Simplify PI into PI 10.788 * [backup-simplify]: Simplify (log PI) into (log PI) 10.788 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 10.788 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 10.788 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) into (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))) 10.789 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 10.789 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0))))) in k 10.789 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 10.789 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 10.789 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 10.789 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 10.789 * [taylor]: Taking taylor expansion of 0.5 in k 10.789 * [backup-simplify]: Simplify 0.5 into 0.5 10.789 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 10.789 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.789 * [taylor]: Taking taylor expansion of k in k 10.789 * [backup-simplify]: Simplify 0 into 0 10.789 * [backup-simplify]: Simplify 1 into 1 10.789 * [backup-simplify]: Simplify (/ 1 1) into 1 10.789 * [taylor]: Taking taylor expansion of 1.0 in k 10.789 * [backup-simplify]: Simplify 1.0 into 1.0 10.789 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 10.789 * [taylor]: Taking taylor expansion of (/ -1 n) in k 10.789 * [taylor]: Taking taylor expansion of -1 in k 10.789 * [backup-simplify]: Simplify -1 into -1 10.789 * [taylor]: Taking taylor expansion of n in k 10.789 * [backup-simplify]: Simplify n into n 10.789 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 10.789 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 10.790 * [backup-simplify]: Simplify (+ 1 0) into 1 10.790 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 10.790 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 10.790 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 10.790 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in k 10.790 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in k 10.790 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in k 10.790 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in k 10.790 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 10.790 * [taylor]: Taking taylor expansion of 0.5 in k 10.790 * [backup-simplify]: Simplify 0.5 into 0.5 10.790 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 10.790 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.790 * [taylor]: Taking taylor expansion of k in k 10.790 * [backup-simplify]: Simplify 0 into 0 10.790 * [backup-simplify]: Simplify 1 into 1 10.791 * [backup-simplify]: Simplify (/ 1 1) into 1 10.791 * [taylor]: Taking taylor expansion of 1.0 in k 10.791 * [backup-simplify]: Simplify 1.0 into 1.0 10.791 * [taylor]: Taking taylor expansion of (log 2.0) in k 10.791 * [taylor]: Taking taylor expansion of 2.0 in k 10.791 * [backup-simplify]: Simplify 2.0 into 2.0 10.791 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 10.791 * [backup-simplify]: Simplify (+ 1 0) into 1 10.792 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 10.792 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 10.793 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) into (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 10.793 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 10.793 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 10.793 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 10.793 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 10.793 * [taylor]: Taking taylor expansion of 0.5 in k 10.793 * [backup-simplify]: Simplify 0.5 into 0.5 10.793 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 10.793 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.793 * [taylor]: Taking taylor expansion of k in k 10.793 * [backup-simplify]: Simplify 0 into 0 10.793 * [backup-simplify]: Simplify 1 into 1 10.793 * [backup-simplify]: Simplify (/ 1 1) into 1 10.793 * [taylor]: Taking taylor expansion of 1.0 in k 10.793 * [backup-simplify]: Simplify 1.0 into 1.0 10.793 * [taylor]: Taking taylor expansion of (log PI) in k 10.793 * [taylor]: Taking taylor expansion of PI in k 10.793 * [backup-simplify]: Simplify PI into PI 10.793 * [backup-simplify]: Simplify (log PI) into (log PI) 10.794 * [backup-simplify]: Simplify (+ 1 0) into 1 10.794 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 10.795 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 10.795 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 10.795 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0))))) in k 10.795 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 10.795 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 10.795 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 10.795 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 10.795 * [taylor]: Taking taylor expansion of 0.5 in k 10.795 * [backup-simplify]: Simplify 0.5 into 0.5 10.795 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 10.795 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.795 * [taylor]: Taking taylor expansion of k in k 10.795 * [backup-simplify]: Simplify 0 into 0 10.795 * [backup-simplify]: Simplify 1 into 1 10.795 * [backup-simplify]: Simplify (/ 1 1) into 1 10.795 * [taylor]: Taking taylor expansion of 1.0 in k 10.795 * [backup-simplify]: Simplify 1.0 into 1.0 10.795 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 10.795 * [taylor]: Taking taylor expansion of (/ -1 n) in k 10.795 * [taylor]: Taking taylor expansion of -1 in k 10.795 * [backup-simplify]: Simplify -1 into -1 10.796 * [taylor]: Taking taylor expansion of n in k 10.796 * [backup-simplify]: Simplify n into n 10.796 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 10.796 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 10.796 * [backup-simplify]: Simplify (+ 1 0) into 1 10.796 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 10.796 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 10.796 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 10.796 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in k 10.796 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in k 10.796 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in k 10.796 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in k 10.796 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 10.797 * [taylor]: Taking taylor expansion of 0.5 in k 10.797 * [backup-simplify]: Simplify 0.5 into 0.5 10.797 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 10.797 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.797 * [taylor]: Taking taylor expansion of k in k 10.797 * [backup-simplify]: Simplify 0 into 0 10.797 * [backup-simplify]: Simplify 1 into 1 10.797 * [backup-simplify]: Simplify (/ 1 1) into 1 10.797 * [taylor]: Taking taylor expansion of 1.0 in k 10.797 * [backup-simplify]: Simplify 1.0 into 1.0 10.797 * [taylor]: Taking taylor expansion of (log 2.0) in k 10.797 * [taylor]: Taking taylor expansion of 2.0 in k 10.797 * [backup-simplify]: Simplify 2.0 into 2.0 10.797 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 10.797 * [backup-simplify]: Simplify (+ 1 0) into 1 10.798 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 10.798 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 10.799 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) into (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 10.799 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 10.799 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 10.799 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 10.799 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 10.799 * [taylor]: Taking taylor expansion of 0.5 in k 10.799 * [backup-simplify]: Simplify 0.5 into 0.5 10.799 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 10.799 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.799 * [taylor]: Taking taylor expansion of k in k 10.799 * [backup-simplify]: Simplify 0 into 0 10.799 * [backup-simplify]: Simplify 1 into 1 10.799 * [backup-simplify]: Simplify (/ 1 1) into 1 10.799 * [taylor]: Taking taylor expansion of 1.0 in k 10.799 * [backup-simplify]: Simplify 1.0 into 1.0 10.799 * [taylor]: Taking taylor expansion of (log PI) in k 10.799 * [taylor]: Taking taylor expansion of PI in k 10.799 * [backup-simplify]: Simplify PI into PI 10.799 * [backup-simplify]: Simplify (log PI) into (log PI) 10.800 * [backup-simplify]: Simplify (+ 1 0) into 1 10.800 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 10.801 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 10.801 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 10.802 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))))) into (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) 10.803 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) into (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) 10.803 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) in n 10.803 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) in n 10.803 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))) in n 10.803 * [taylor]: Taking taylor expansion of 0.5 in n 10.803 * [backup-simplify]: Simplify 0.5 into 0.5 10.803 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log PI)) in n 10.803 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 10.803 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.803 * [taylor]: Taking taylor expansion of k in n 10.803 * [backup-simplify]: Simplify k into k 10.803 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 10.803 * [taylor]: Taking taylor expansion of 1.0 in n 10.803 * [backup-simplify]: Simplify 1.0 into 1.0 10.803 * [taylor]: Taking taylor expansion of (log PI) in n 10.803 * [taylor]: Taking taylor expansion of PI in n 10.803 * [backup-simplify]: Simplify PI into PI 10.803 * [backup-simplify]: Simplify (log PI) into (log PI) 10.803 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 10.804 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (log PI)) into (* (+ (/ 1 k) 1.0) (log PI)) 10.804 * [backup-simplify]: Simplify (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))) into (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))) 10.804 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 10.804 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) in n 10.804 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 10.804 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 10.804 * [taylor]: Taking taylor expansion of 0.5 in n 10.805 * [backup-simplify]: Simplify 0.5 into 0.5 10.805 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 10.805 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 10.805 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.805 * [taylor]: Taking taylor expansion of k in n 10.805 * [backup-simplify]: Simplify k into k 10.805 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 10.805 * [taylor]: Taking taylor expansion of 1.0 in n 10.805 * [backup-simplify]: Simplify 1.0 into 1.0 10.805 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 10.805 * [taylor]: Taking taylor expansion of (/ -1 n) in n 10.805 * [taylor]: Taking taylor expansion of -1 in n 10.805 * [backup-simplify]: Simplify -1 into -1 10.805 * [taylor]: Taking taylor expansion of n in n 10.805 * [backup-simplify]: Simplify 0 into 0 10.805 * [backup-simplify]: Simplify 1 into 1 10.805 * [backup-simplify]: Simplify (/ -1 1) into -1 10.805 * [backup-simplify]: Simplify (log -1) into (log -1) 10.805 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 10.806 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 10.806 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log -1) (log n))) into (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) 10.807 * [backup-simplify]: Simplify (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 10.807 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 10.807 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) in n 10.807 * [taylor]: Taking taylor expansion of (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))) in n 10.807 * [taylor]: Taking taylor expansion of 0.5 in n 10.807 * [backup-simplify]: Simplify 0.5 into 0.5 10.807 * [taylor]: Taking taylor expansion of (* (log 2.0) (+ (/ 1 k) 1.0)) in n 10.807 * [taylor]: Taking taylor expansion of (log 2.0) in n 10.807 * [taylor]: Taking taylor expansion of 2.0 in n 10.807 * [backup-simplify]: Simplify 2.0 into 2.0 10.808 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 10.808 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 10.808 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.808 * [taylor]: Taking taylor expansion of k in n 10.808 * [backup-simplify]: Simplify k into k 10.808 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 10.808 * [taylor]: Taking taylor expansion of 1.0 in n 10.808 * [backup-simplify]: Simplify 1.0 into 1.0 10.808 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 10.808 * [backup-simplify]: Simplify (* (log 2.0) (+ (/ 1 k) 1.0)) into (* (log 2.0) (+ (/ 1 k) 1.0)) 10.808 * [backup-simplify]: Simplify (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))) into (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))) 10.809 * [backup-simplify]: Simplify (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 10.810 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) into (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) 10.811 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) into (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) 10.812 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) into (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) 10.813 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))))) into 0 10.814 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 0) (* 0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) into 0 10.814 * [taylor]: Taking taylor expansion of 0 in n 10.814 * [backup-simplify]: Simplify 0 into 0 10.814 * [backup-simplify]: Simplify 0 into 0 10.814 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 10.814 * [backup-simplify]: Simplify (+ 0 0) into 0 10.815 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 10.815 * [backup-simplify]: Simplify (+ (* (log 2.0) 0) (* 0 (+ (/ 1 k) 1.0))) into 0 10.816 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (log 2.0) (+ (/ 1 k) 1.0)))) into 0 10.817 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 10.817 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.818 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 10.818 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 10.819 * [backup-simplify]: Simplify (+ 0 0) into 0 10.819 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 10.819 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (* 0 (- (log -1) (log n)))) into 0 10.820 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into 0 10.821 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 10.822 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 0) (* 0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) into 0 10.823 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 10.823 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 10.823 * [backup-simplify]: Simplify (+ 0 0) into 0 10.823 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (* 0 (log PI))) into 0 10.824 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (/ 1 k) 1.0) (log PI)))) into 0 10.825 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (+ (* (/ (pow 0 1) 1)))) into 0 10.826 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 0) (* 0 (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) into 0 10.826 * [backup-simplify]: Simplify 0 into 0 10.827 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))))))) into 0 10.828 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 0) (+ (* 0 0) (* 0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))))) into 0 10.828 * [taylor]: Taking taylor expansion of 0 in n 10.828 * [backup-simplify]: Simplify 0 into 0 10.828 * [backup-simplify]: Simplify 0 into 0 10.828 * [backup-simplify]: Simplify 0 into 0 10.828 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 10.829 * [backup-simplify]: Simplify (+ 0 0) into 0 10.830 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2.0 1)))) 2) into 0 10.831 * [backup-simplify]: Simplify (+ (* (log 2.0) 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 10.832 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (log 2.0) (+ (/ 1 k) 1.0))))) into 0 10.833 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.834 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.836 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 10.837 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 10.837 * [backup-simplify]: Simplify (+ 0 0) into 0 10.838 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 10.839 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 10.841 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) into 0 10.843 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.844 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) into 0 10.845 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 10.846 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 10.846 * [backup-simplify]: Simplify (+ 0 0) into 0 10.846 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (+ (* 0 0) (* 0 (log PI)))) into 0 10.847 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (+ (/ 1 k) 1.0) (log PI))))) into 0 10.848 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.850 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 0) (+ (* 0 0) (* 0 (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))))) into 0 10.850 * [backup-simplify]: Simplify 0 into 0 10.851 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))))))) into 0 10.852 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))))) into 0 10.852 * [taylor]: Taking taylor expansion of 0 in n 10.852 * [backup-simplify]: Simplify 0 into 0 10.852 * [backup-simplify]: Simplify 0 into 0 10.854 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (log PI)))) (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 (/ 1 (- k))) 1.0)))) (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))))) into (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI)))))) 10.854 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 10.854 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 10.854 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 10.854 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 10.854 * [taylor]: Taking taylor expansion of 1.0 in k 10.854 * [backup-simplify]: Simplify 1.0 into 1.0 10.854 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 10.854 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.854 * [taylor]: Taking taylor expansion of k in k 10.854 * [backup-simplify]: Simplify 0 into 0 10.854 * [backup-simplify]: Simplify 1 into 1 10.854 * [backup-simplify]: Simplify (/ 1 1) into 1 10.861 * [backup-simplify]: Simplify (sqrt 0) into 0 10.862 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.862 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 10.862 * [taylor]: Taking taylor expansion of 1.0 in k 10.862 * [backup-simplify]: Simplify 1.0 into 1.0 10.862 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 10.863 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.863 * [taylor]: Taking taylor expansion of k in k 10.863 * [backup-simplify]: Simplify 0 into 0 10.863 * [backup-simplify]: Simplify 1 into 1 10.863 * [backup-simplify]: Simplify (/ 1 1) into 1 10.863 * [backup-simplify]: Simplify (sqrt 0) into 0 10.864 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.864 * [backup-simplify]: Simplify (* 1.0 0) into 0 10.864 * [backup-simplify]: Simplify 0 into 0 10.865 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 10.866 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.868 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.869 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 10.869 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.873 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.876 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 10.876 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.877 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 10.878 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 10.878 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 10.878 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 10.878 * [taylor]: Taking taylor expansion of 1.0 in k 10.878 * [backup-simplify]: Simplify 1.0 into 1.0 10.878 * [taylor]: Taking taylor expansion of (sqrt k) in k 10.878 * [taylor]: Taking taylor expansion of k in k 10.878 * [backup-simplify]: Simplify 0 into 0 10.878 * [backup-simplify]: Simplify 1 into 1 10.878 * [backup-simplify]: Simplify (sqrt 0) into 0 10.879 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.879 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 10.879 * [taylor]: Taking taylor expansion of 1.0 in k 10.879 * [backup-simplify]: Simplify 1.0 into 1.0 10.879 * [taylor]: Taking taylor expansion of (sqrt k) in k 10.880 * [taylor]: Taking taylor expansion of k in k 10.880 * [backup-simplify]: Simplify 0 into 0 10.880 * [backup-simplify]: Simplify 1 into 1 10.880 * [backup-simplify]: Simplify (sqrt 0) into 0 10.881 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.882 * [backup-simplify]: Simplify (* 1.0 0) into 0 10.882 * [backup-simplify]: Simplify 0 into 0 10.883 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 10.884 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.887 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.888 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 10.889 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.892 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.894 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 10.895 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.896 * [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)))))))) 10.896 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 10.896 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 10.897 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 10.897 * [taylor]: Taking taylor expansion of 1.0 in k 10.897 * [backup-simplify]: Simplify 1.0 into 1.0 10.897 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 10.897 * [taylor]: Taking taylor expansion of (/ -1 k) in k 10.897 * [taylor]: Taking taylor expansion of -1 in k 10.897 * [backup-simplify]: Simplify -1 into -1 10.897 * [taylor]: Taking taylor expansion of k in k 10.897 * [backup-simplify]: Simplify 0 into 0 10.897 * [backup-simplify]: Simplify 1 into 1 10.897 * [backup-simplify]: Simplify (/ -1 1) into -1 10.897 * [backup-simplify]: Simplify (sqrt 0) into 0 10.899 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 10.899 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 10.899 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 10.899 * [taylor]: Taking taylor expansion of 1.0 in k 10.899 * [backup-simplify]: Simplify 1.0 into 1.0 10.899 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 10.899 * [taylor]: Taking taylor expansion of (/ -1 k) in k 10.899 * [taylor]: Taking taylor expansion of -1 in k 10.899 * [backup-simplify]: Simplify -1 into -1 10.899 * [taylor]: Taking taylor expansion of k in k 10.899 * [backup-simplify]: Simplify 0 into 0 10.899 * [backup-simplify]: Simplify 1 into 1 10.900 * [backup-simplify]: Simplify (/ -1 1) into -1 10.900 * [backup-simplify]: Simplify (sqrt 0) into 0 10.901 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 10.902 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 10.902 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.902 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.905 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.908 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 10.908 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.909 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.913 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.917 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 10.917 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.918 * [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))))) 10.918 * * * [progress]: simplifying candidates 10.923 * [simplify]: Simplifying: (* (log n) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (/ (sqrt (- 1.0 k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n 1) (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))) (exp (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (cbrt (pow n (/ (- 1.0 k) 2.0))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (* (log PI) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow PI (/ 1.0 2.0)) (pow PI (/ k 2.0)) (pow PI (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow PI (sqrt (/ (- 1.0 k) 2.0))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow PI (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow PI (/ (sqrt (- 1.0 k)) 1)) (pow PI (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ 1 (sqrt 2.0))) (pow PI (/ 1 1)) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow PI (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ 1 (sqrt 2.0))) (pow PI (/ 1 1)) (pow PI 1) (pow PI (- 1.0 k)) (pow (* (cbrt PI) (cbrt PI)) (/ (- 1.0 k) 2.0)) (pow (cbrt PI) (/ (- 1.0 k) 2.0)) (pow (sqrt PI) (/ (- 1.0 k) 2.0)) (pow (sqrt PI) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0))) (exp (pow PI (/ (- 1.0 k) 2.0))) (* (cbrt (pow PI (/ (- 1.0 k) 2.0))) (cbrt (pow PI (/ (- 1.0 k) 2.0)))) (cbrt (pow PI (/ (- 1.0 k) 2.0))) (* (* (pow PI (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (- 1.0 k) 2.0))) (sqrt (pow PI (/ (- 1.0 k) 2.0))) (sqrt (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (* (* 2.0 PI) n) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0)))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0)))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0)))) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0)))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0)))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0)))) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (log (pow PI (/ (- 1.0 k) 2.0)))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (log (pow PI (/ (- 1.0 k) 2.0)))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (log (pow PI (/ (- 1.0 k) 2.0)))) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (log (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (log (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (log (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (log (pow n (/ (- 1.0 k) 2.0)))) (log (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (exp (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (* (* (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0))) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (* (pow PI (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (- 1.0 k) 2.0)))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (* (* (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (* (cbrt (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (cbrt (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))))) (cbrt (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (* (* (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (sqrt (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (sqrt (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (* (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ 1.0 2.0))) (pow n (/ 1.0 2.0))) (* (* (pow 2.0 (/ k 2.0)) (pow PI (/ k 2.0))) (pow n (/ k 2.0))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ 1.0 2.0))) (pow n (/ 1.0 2.0))) (* (pow PI (/ k 2.0)) (pow n (/ k 2.0))) (* (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ 1.0 2.0))) (* (pow 2.0 (/ k 2.0)) (pow n (/ k 2.0))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow 1 (/ (- 1.0 k) 2.0))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0))))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) 1) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ 1.0 2.0))) (* (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ 1.0 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ 1.0 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log PI) 2)) (pow (pow PI 1.0) 0.5))) (pow PI 0.5)) (* 0.5 (* (* k (log PI)) (pow (pow PI 1.0) 0.5)))) (exp (* 0.5 (* (- 1.0 k) (log PI)))) (exp (* 0.5 (* (- 1.0 k) (log PI)))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log PI) 2)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (pow k 2) (* (log 2.0) (log n))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (pow (pow (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5) (+ (* 0.25 (* (* (pow k 2) (* (log 2.0) (log PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (* (pow k 2) (pow (log 2.0) 2)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (* 0.25 (* (* (pow k 2) (* (log n) (log PI))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))))))))) (+ (* 0.5 (* (* k (log 2.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.5 (* (* k (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)))))) (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (* (exp (* 0.5 (* (- 1.0 k) (log PI)))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))))) (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI)))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 10.930 * * [simplify]: Extracting # 0 : cost 0 10.931 * * [simplify]: Extracting # 1 : cost 0 10.932 * * [simplify]: Extracting # 2 : cost 0 10.933 * * [simplify]: Extracting # 3 : cost 0 10.933 * * [simplify]: Extracting # 4 : cost 0 10.934 * * [simplify]: Extracting # 5 : cost 0 10.935 * * [simplify]: Extracting # 6 : cost 0 10.936 * * [simplify]: Extracting # 7 : cost 0 10.937 * * [simplify]: Extracting # 8 : cost 0 10.938 * * [simplify]: Extracting # 9 : cost 0 10.940 * * [simplify]: Extracting # 10 : cost 0 10.941 * * [simplify]: Extracting # 11 : cost 0 10.942 * * [simplify]: Extracting # 12 : cost 0 10.943 * * [simplify]: Extracting # 13 : cost 0 10.944 * * [simplify]: Extracting # 14 : cost 0 10.945 * * [simplify]: Extracting # 15 : cost 0 10.947 * * [simplify]: Extracting # 16 : cost 0 10.948 * * [simplify]: Extracting # 17 : cost 0 10.949 * * [simplify]: iteration 0 : 359 enodes (cost 3070 ) 11.151 * * [simplify]: Extracting # 0 : cost 0 11.153 * * [simplify]: Extracting # 1 : cost 0 11.156 * * [simplify]: Extracting # 2 : cost 0 11.159 * * [simplify]: Extracting # 3 : cost 0 11.160 * * [simplify]: Extracting # 4 : cost 0 11.162 * * [simplify]: Extracting # 5 : cost 0 11.163 * * [simplify]: iteration 1 : 1025 enodes (cost 2728 ) 11.754 * * [simplify]: Extracting # 0 : cost 0 11.765 * * [simplify]: Extracting # 1 : cost 0 11.776 * * [simplify]: Extracting # 2 : cost 0 11.788 * * [simplify]: Extracting # 3 : cost 0 11.799 * * [simplify]: Extracting # 4 : cost 0 11.812 * * [simplify]: Extracting # 5 : cost 0 11.827 * * [simplify]: iteration 2 : 4188 enodes (cost 2376 ) 13.497 * * [simplify]: Extracting # 0 : cost 0 13.510 * * [simplify]: Extracting # 1 : cost 0 13.522 * * [simplify]: Extracting # 2 : cost 0 13.535 * * [simplify]: Extracting # 3 : cost 0 13.547 * * [simplify]: Extracting # 4 : cost 0 13.560 * * [simplify]: iteration done: 5000 enodes (cost 2360 ) 13.569 * [simplify]: Simplified to: (* (/ (- 1.0 k) 2.0) (log n)) (* (/ (- 1.0 k) 2.0) (log n)) (/ (- 1.0 k) 2.0) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (sqrt (- 1.0 k))) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) n (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (+ (sqrt 1.0) (sqrt k))) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) n n (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) 1 (pow n (/ (- 1.0 k) 2.0)) (* (/ (- 1.0 k) 2.0) (log n)) (exp (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (cbrt (pow n (/ (- 1.0 k) 2.0))) (pow (pow n (/ (- 1.0 k) 2.0)) 3) (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (* (log PI) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (pow PI (/ 1.0 2.0)) (pow PI (/ k 2.0)) (pow PI (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow PI (sqrt (/ (- 1.0 k) 2.0))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow PI (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow PI (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow PI (sqrt (- 1.0 k))) (pow PI (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ 1 (sqrt 2.0))) PI (pow PI (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow PI (+ (sqrt 1.0) (sqrt k))) (pow PI (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ 1 (sqrt 2.0))) PI PI (pow PI (- 1.0 k)) (pow (* (cbrt PI) (cbrt PI)) (/ (- 1.0 k) 2.0)) (pow (cbrt PI) (/ (- 1.0 k) 2.0)) (pow (sqrt PI) (/ (- 1.0 k) 2.0)) (pow (sqrt PI) (/ (- 1.0 k) 2.0)) 1 (pow PI (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)) (exp (pow PI (/ (- 1.0 k) 2.0))) (* (cbrt (pow PI (/ (- 1.0 k) 2.0))) (cbrt (pow PI (/ (- 1.0 k) 2.0)))) (cbrt (pow PI (/ (- 1.0 k) 2.0))) (pow (pow PI (/ (- 1.0 k) 2.0)) 3) (sqrt (pow PI (/ (- 1.0 k) 2.0))) (sqrt (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (* (* 2.0 PI) n) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (exp (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (pow (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) 3) (pow (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) 3) (* (cbrt (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (cbrt (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))))) (cbrt (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (pow (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) 3) (sqrt (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (sqrt (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (* (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ 1.0 2.0))) (pow n (/ 1.0 2.0))) (* (* (pow 2.0 (/ k 2.0)) (pow PI (/ k 2.0))) (pow n (/ k 2.0))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ 1.0 2.0))) (pow n (/ 1.0 2.0))) (* (pow PI (/ k 2.0)) (pow n (/ k 2.0))) (* (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ 1.0 2.0))) (* (pow 2.0 (/ k 2.0)) (pow n (/ k 2.0))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow PI (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0))))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (pow PI (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ 1.0 2.0))) (* (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ 1.0 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ 1.0 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (/ (pow 1.0 3) k) (sqrt k)) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt k))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) (pow (/ 1 n) (* -0.5 (- 1.0 k))) (pow (exp (+ 0 (log n))) (* 0.5 (- 1.0 k))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log PI) 2)) (pow (pow PI 1.0) 0.5))) (pow PI 0.5)) (* 0.5 (* (* k (log PI)) (pow (pow PI 1.0) 0.5)))) (pow PI (* 0.5 (- 1.0 k))) (pow PI (* 0.5 (- 1.0 k))) (- (+ (+ (* 0.125 (* (* (pow k 2) (pow (log PI) 2)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (pow k 2) (* (log 2.0) (log n))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (pow (pow (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5))) (+ (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (+ (* 0.25 (* (pow k 2) (* (log n) (log PI)))) (* 0.125 (* (pow k 2) (pow (log n) 2))))) (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (+ (* 0.25 (* (pow k 2) (* (log 2.0) (log PI)))) (* 0.125 (* (pow k 2) (pow (log 2.0) 2))))))) (* 0.5 (+ (* k (+ (* (log PI) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (* (* k (log 2.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) (* (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow PI (* 0.5 (- 1.0 k)))) (pow (/ 1 n) (* -0.5 (- 1.0 k)))) (exp (+ (* 0.5 (+ (* (log 2.0) (- 1.0 k)) (* (- 1.0 k) (log PI)))) (* (* 0.5 (- 1.0 k)) (+ 0 (log n))))) (- (- (* +nan.0 k) (- (* +nan.0 (pow k 2)) +nan.0))) (+ (- (/ +nan.0 (pow k 2))) (- (/ +nan.0 k) (/ +nan.0 (pow k 3)))) (+ (- (/ +nan.0 (pow k 2))) (- (/ +nan.0 k) +nan.0)) 13.572 * * * [progress]: adding candidates to table 14.343 * * [progress]: iteration 4 / 4 14.343 * * * [progress]: picking best candidate 14.364 * * * * [pick]: Picked # 14.364 * * * [progress]: localizing error 14.399 * * * [progress]: generating rewritten candidates 14.399 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 14.420 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 14.429 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 14.545 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 14.563 * * * [progress]: generating series expansions 14.563 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 14.564 * [backup-simplify]: Simplify (pow (/ 1 n) (* -0.5 (- 1.0 k))) into (pow (/ 1 n) (* -0.5 (- 1.0 k))) 14.564 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* -0.5 (- 1.0 k))) in (n k) around 0 14.564 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* -0.5 (- 1.0 k))) in k 14.564 * [taylor]: Taking taylor expansion of (exp (* (* -0.5 (- 1.0 k)) (log (/ 1 n)))) in k 14.564 * [taylor]: Taking taylor expansion of (* (* -0.5 (- 1.0 k)) (log (/ 1 n))) in k 14.564 * [taylor]: Taking taylor expansion of (* -0.5 (- 1.0 k)) in k 14.564 * [taylor]: Taking taylor expansion of -0.5 in k 14.564 * [backup-simplify]: Simplify -0.5 into -0.5 14.564 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 14.564 * [taylor]: Taking taylor expansion of 1.0 in k 14.564 * [backup-simplify]: Simplify 1.0 into 1.0 14.564 * [taylor]: Taking taylor expansion of k in k 14.564 * [backup-simplify]: Simplify 0 into 0 14.564 * [backup-simplify]: Simplify 1 into 1 14.564 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 14.564 * [taylor]: Taking taylor expansion of (/ 1 n) in k 14.564 * [taylor]: Taking taylor expansion of n in k 14.564 * [backup-simplify]: Simplify n into n 14.564 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 14.564 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 14.565 * [backup-simplify]: Simplify (- 0) into 0 14.565 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 14.566 * [backup-simplify]: Simplify (* -0.5 1.0) into -0.5 14.566 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 14.566 * [backup-simplify]: Simplify (exp (* -0.5 (log (/ 1 n)))) into (pow (/ 1 n) -0.5) 14.566 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* -0.5 (- 1.0 k))) in n 14.566 * [taylor]: Taking taylor expansion of (exp (* (* -0.5 (- 1.0 k)) (log (/ 1 n)))) in n 14.566 * [taylor]: Taking taylor expansion of (* (* -0.5 (- 1.0 k)) (log (/ 1 n))) in n 14.566 * [taylor]: Taking taylor expansion of (* -0.5 (- 1.0 k)) in n 14.566 * [taylor]: Taking taylor expansion of -0.5 in n 14.566 * [backup-simplify]: Simplify -0.5 into -0.5 14.566 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 14.566 * [taylor]: Taking taylor expansion of 1.0 in n 14.566 * [backup-simplify]: Simplify 1.0 into 1.0 14.566 * [taylor]: Taking taylor expansion of k in n 14.566 * [backup-simplify]: Simplify k into k 14.566 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 14.566 * [taylor]: Taking taylor expansion of (/ 1 n) in n 14.566 * [taylor]: Taking taylor expansion of n in n 14.566 * [backup-simplify]: Simplify 0 into 0 14.566 * [backup-simplify]: Simplify 1 into 1 14.566 * [backup-simplify]: Simplify (/ 1 1) into 1 14.568 * [backup-simplify]: Simplify (log 1) into 0 14.568 * [backup-simplify]: Simplify (- k) into (- k) 14.568 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 14.569 * [backup-simplify]: Simplify (* -0.5 (- 1.0 k)) into (* -0.5 (- 1.0 k)) 14.569 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 14.569 * [backup-simplify]: Simplify (* (* -0.5 (- 1.0 k)) (- (log n))) into (* 0.5 (* (- 1.0 k) (log n))) 14.569 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 14.569 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* -0.5 (- 1.0 k))) in n 14.569 * [taylor]: Taking taylor expansion of (exp (* (* -0.5 (- 1.0 k)) (log (/ 1 n)))) in n 14.569 * [taylor]: Taking taylor expansion of (* (* -0.5 (- 1.0 k)) (log (/ 1 n))) in n 14.569 * [taylor]: Taking taylor expansion of (* -0.5 (- 1.0 k)) in n 14.569 * [taylor]: Taking taylor expansion of -0.5 in n 14.569 * [backup-simplify]: Simplify -0.5 into -0.5 14.569 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 14.569 * [taylor]: Taking taylor expansion of 1.0 in n 14.569 * [backup-simplify]: Simplify 1.0 into 1.0 14.569 * [taylor]: Taking taylor expansion of k in n 14.569 * [backup-simplify]: Simplify k into k 14.569 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 14.569 * [taylor]: Taking taylor expansion of (/ 1 n) in n 14.569 * [taylor]: Taking taylor expansion of n in n 14.569 * [backup-simplify]: Simplify 0 into 0 14.569 * [backup-simplify]: Simplify 1 into 1 14.570 * [backup-simplify]: Simplify (/ 1 1) into 1 14.570 * [backup-simplify]: Simplify (log 1) into 0 14.570 * [backup-simplify]: Simplify (- k) into (- k) 14.570 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 14.570 * [backup-simplify]: Simplify (* -0.5 (- 1.0 k)) into (* -0.5 (- 1.0 k)) 14.570 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 14.571 * [backup-simplify]: Simplify (* (* -0.5 (- 1.0 k)) (- (log n))) into (* 0.5 (* (- 1.0 k) (log n))) 14.571 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 14.571 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 14.571 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 14.571 * [taylor]: Taking taylor expansion of 0.5 in k 14.571 * [backup-simplify]: Simplify 0.5 into 0.5 14.571 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 14.571 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 14.571 * [taylor]: Taking taylor expansion of 1.0 in k 14.571 * [backup-simplify]: Simplify 1.0 into 1.0 14.571 * [taylor]: Taking taylor expansion of k in k 14.571 * [backup-simplify]: Simplify 0 into 0 14.571 * [backup-simplify]: Simplify 1 into 1 14.571 * [taylor]: Taking taylor expansion of (log n) in k 14.571 * [taylor]: Taking taylor expansion of n in k 14.571 * [backup-simplify]: Simplify n into n 14.571 * [backup-simplify]: Simplify (log n) into (log n) 14.571 * [backup-simplify]: Simplify (- 0) into 0 14.572 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 14.572 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 14.572 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (log n))) into (* 0.5 (log n)) 14.572 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 14.572 * [backup-simplify]: Simplify (pow n 0.5) into (pow n 0.5) 14.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.574 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 14.574 * [backup-simplify]: Simplify (- 0) into 0 14.574 * [backup-simplify]: Simplify (+ 0 0) into 0 14.575 * [backup-simplify]: Simplify (+ (* -0.5 0) (* 0 (- 1.0 k))) into 0 14.575 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 14.576 * [backup-simplify]: Simplify (+ (* (* -0.5 (- 1.0 k)) 0) (* 0 (- (log n)))) into 0 14.577 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 14.577 * [taylor]: Taking taylor expansion of 0 in k 14.577 * [backup-simplify]: Simplify 0 into 0 14.577 * [backup-simplify]: Simplify 0 into 0 14.578 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 14.578 * [backup-simplify]: Simplify (- 1) into -1 14.579 * [backup-simplify]: Simplify (+ 0 -1) into -1 14.579 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (log n))) into (- (log n)) 14.579 * [backup-simplify]: Simplify (+ (* 0.5 (- (log n))) (* 0 (* 1.0 (log n)))) into (- (* 0.5 (log n))) 14.580 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 1) 1)))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 14.580 * [backup-simplify]: Simplify (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 14.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.584 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 14.584 * [backup-simplify]: Simplify (- 0) into 0 14.585 * [backup-simplify]: Simplify (+ 0 0) into 0 14.585 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 14.586 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 14.586 * [backup-simplify]: Simplify (+ (* (* -0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 14.588 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 14.588 * [taylor]: Taking taylor expansion of 0 in k 14.588 * [backup-simplify]: Simplify 0 into 0 14.588 * [backup-simplify]: Simplify 0 into 0 14.588 * [backup-simplify]: Simplify 0 into 0 14.590 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 14.590 * [backup-simplify]: Simplify (- 0) into 0 14.590 * [backup-simplify]: Simplify (+ 0 0) into 0 14.591 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (log n)))) into 0 14.592 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (log n))) (* 0 (* 1.0 (log n))))) into 0 14.593 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 14.593 * [backup-simplify]: Simplify (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 14.594 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) (* k 1)) (pow n 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) 14.594 * [backup-simplify]: Simplify (pow (/ 1 (/ 1 n)) (* -0.5 (- 1.0 (/ 1 k)))) into (pow n (* -0.5 (- 1.0 (/ 1 k)))) 14.594 * [approximate]: Taking taylor expansion of (pow n (* -0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 14.595 * [taylor]: Taking taylor expansion of (pow n (* -0.5 (- 1.0 (/ 1 k)))) in k 14.595 * [taylor]: Taking taylor expansion of (exp (* (* -0.5 (- 1.0 (/ 1 k))) (log n))) in k 14.595 * [taylor]: Taking taylor expansion of (* (* -0.5 (- 1.0 (/ 1 k))) (log n)) in k 14.595 * [taylor]: Taking taylor expansion of (* -0.5 (- 1.0 (/ 1 k))) in k 14.595 * [taylor]: Taking taylor expansion of -0.5 in k 14.595 * [backup-simplify]: Simplify -0.5 into -0.5 14.595 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 14.595 * [taylor]: Taking taylor expansion of 1.0 in k 14.595 * [backup-simplify]: Simplify 1.0 into 1.0 14.595 * [taylor]: Taking taylor expansion of (/ 1 k) in k 14.595 * [taylor]: Taking taylor expansion of k in k 14.595 * [backup-simplify]: Simplify 0 into 0 14.595 * [backup-simplify]: Simplify 1 into 1 14.595 * [backup-simplify]: Simplify (/ 1 1) into 1 14.595 * [taylor]: Taking taylor expansion of (log n) in k 14.595 * [taylor]: Taking taylor expansion of n in k 14.595 * [backup-simplify]: Simplify n into n 14.595 * [backup-simplify]: Simplify (log n) into (log n) 14.596 * [backup-simplify]: Simplify (- 1) into -1 14.596 * [backup-simplify]: Simplify (+ 0 -1) into -1 14.597 * [backup-simplify]: Simplify (* -0.5 -1) into 0.5 14.597 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 14.597 * [backup-simplify]: Simplify (exp (* (* -0.5 (- 1.0 (/ 1 k))) (log n))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 14.597 * [taylor]: Taking taylor expansion of (pow n (* -0.5 (- 1.0 (/ 1 k)))) in n 14.597 * [taylor]: Taking taylor expansion of (exp (* (* -0.5 (- 1.0 (/ 1 k))) (log n))) in n 14.597 * [taylor]: Taking taylor expansion of (* (* -0.5 (- 1.0 (/ 1 k))) (log n)) in n 14.597 * [taylor]: Taking taylor expansion of (* -0.5 (- 1.0 (/ 1 k))) in n 14.597 * [taylor]: Taking taylor expansion of -0.5 in n 14.597 * [backup-simplify]: Simplify -0.5 into -0.5 14.597 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 14.597 * [taylor]: Taking taylor expansion of 1.0 in n 14.597 * [backup-simplify]: Simplify 1.0 into 1.0 14.597 * [taylor]: Taking taylor expansion of (/ 1 k) in n 14.597 * [taylor]: Taking taylor expansion of k in n 14.597 * [backup-simplify]: Simplify k into k 14.597 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 14.597 * [taylor]: Taking taylor expansion of (log n) in n 14.597 * [taylor]: Taking taylor expansion of n in n 14.597 * [backup-simplify]: Simplify 0 into 0 14.597 * [backup-simplify]: Simplify 1 into 1 14.598 * [backup-simplify]: Simplify (log 1) into 0 14.598 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 14.598 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 14.598 * [backup-simplify]: Simplify (* -0.5 (- 1.0 (/ 1 k))) into (* -0.5 (- 1.0 (/ 1 k))) 14.598 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 14.599 * [backup-simplify]: Simplify (* (* -0.5 (- 1.0 (/ 1 k))) (log n)) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 14.599 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 14.599 * [taylor]: Taking taylor expansion of (pow n (* -0.5 (- 1.0 (/ 1 k)))) in n 14.599 * [taylor]: Taking taylor expansion of (exp (* (* -0.5 (- 1.0 (/ 1 k))) (log n))) in n 14.599 * [taylor]: Taking taylor expansion of (* (* -0.5 (- 1.0 (/ 1 k))) (log n)) in n 14.599 * [taylor]: Taking taylor expansion of (* -0.5 (- 1.0 (/ 1 k))) in n 14.599 * [taylor]: Taking taylor expansion of -0.5 in n 14.599 * [backup-simplify]: Simplify -0.5 into -0.5 14.599 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 14.599 * [taylor]: Taking taylor expansion of 1.0 in n 14.599 * [backup-simplify]: Simplify 1.0 into 1.0 14.599 * [taylor]: Taking taylor expansion of (/ 1 k) in n 14.599 * [taylor]: Taking taylor expansion of k in n 14.599 * [backup-simplify]: Simplify k into k 14.599 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 14.599 * [taylor]: Taking taylor expansion of (log n) in n 14.599 * [taylor]: Taking taylor expansion of n in n 14.599 * [backup-simplify]: Simplify 0 into 0 14.599 * [backup-simplify]: Simplify 1 into 1 14.600 * [backup-simplify]: Simplify (log 1) into 0 14.600 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 14.600 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 14.600 * [backup-simplify]: Simplify (* -0.5 (- 1.0 (/ 1 k))) into (* -0.5 (- 1.0 (/ 1 k))) 14.601 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 14.601 * [backup-simplify]: Simplify (* (* -0.5 (- 1.0 (/ 1 k))) (log n)) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 14.601 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 14.601 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) in k 14.601 * [taylor]: Taking taylor expansion of (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) in k 14.601 * [taylor]: Taking taylor expansion of -0.5 in k 14.601 * [backup-simplify]: Simplify -0.5 into -0.5 14.601 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 14.601 * [taylor]: Taking taylor expansion of (log n) in k 14.601 * [taylor]: Taking taylor expansion of n in k 14.601 * [backup-simplify]: Simplify n into n 14.601 * [backup-simplify]: Simplify (log n) into (log n) 14.601 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 14.601 * [taylor]: Taking taylor expansion of 1.0 in k 14.601 * [backup-simplify]: Simplify 1.0 into 1.0 14.602 * [taylor]: Taking taylor expansion of (/ 1 k) in k 14.602 * [taylor]: Taking taylor expansion of k in k 14.602 * [backup-simplify]: Simplify 0 into 0 14.602 * [backup-simplify]: Simplify 1 into 1 14.602 * [backup-simplify]: Simplify (/ 1 1) into 1 14.602 * [backup-simplify]: Simplify (- 1) into -1 14.603 * [backup-simplify]: Simplify (+ 0 -1) into -1 14.603 * [backup-simplify]: Simplify (* (log n) -1) into (* -1 (log n)) 14.603 * [backup-simplify]: Simplify (* -0.5 (* -1 (log n))) into (* 0.5 (log n)) 14.603 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 14.603 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 14.605 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 14.606 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 14.606 * [backup-simplify]: Simplify (- 0) into 0 14.606 * [backup-simplify]: Simplify (+ 0 0) into 0 14.607 * [backup-simplify]: Simplify (+ (* -0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 14.607 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 14.607 * [backup-simplify]: Simplify (+ (* (* -0.5 (- 1.0 (/ 1 k))) 0) (* 0 (log n))) into 0 14.608 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 14.608 * [taylor]: Taking taylor expansion of 0 in k 14.608 * [backup-simplify]: Simplify 0 into 0 14.608 * [backup-simplify]: Simplify 0 into 0 14.608 * [backup-simplify]: Simplify 0 into 0 14.611 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 14.612 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 14.612 * [backup-simplify]: Simplify (- 0) into 0 14.612 * [backup-simplify]: Simplify (+ 0 0) into 0 14.613 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 14.614 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 14.614 * [backup-simplify]: Simplify (+ (* (* -0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (log n)))) into 0 14.615 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 14.615 * [taylor]: Taking taylor expansion of 0 in k 14.615 * [backup-simplify]: Simplify 0 into 0 14.615 * [backup-simplify]: Simplify 0 into 0 14.615 * [backup-simplify]: Simplify 0 into 0 14.615 * [backup-simplify]: Simplify 0 into 0 14.618 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 14.618 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 14.618 * [backup-simplify]: Simplify (- 0) into 0 14.619 * [backup-simplify]: Simplify (+ 0 0) into 0 14.619 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 14.620 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 14.620 * [backup-simplify]: Simplify (+ (* (* -0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log n))))) into 0 14.626 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 14.626 * [taylor]: Taking taylor expansion of 0 in k 14.626 * [backup-simplify]: Simplify 0 into 0 14.626 * [backup-simplify]: Simplify 0 into 0 14.626 * [backup-simplify]: Simplify (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) 14.626 * [backup-simplify]: Simplify (pow (/ 1 (/ 1 (- n))) (* -0.5 (- 1.0 (/ 1 (- k))))) into (pow (* -1 n) (* -0.5 (+ (/ 1 k) 1.0))) 14.626 * [approximate]: Taking taylor expansion of (pow (* -1 n) (* -0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 14.626 * [taylor]: Taking taylor expansion of (pow (* -1 n) (* -0.5 (+ (/ 1 k) 1.0))) in k 14.626 * [taylor]: Taking taylor expansion of (exp (* (* -0.5 (+ (/ 1 k) 1.0)) (log (* -1 n)))) in k 14.626 * [taylor]: Taking taylor expansion of (* (* -0.5 (+ (/ 1 k) 1.0)) (log (* -1 n))) in k 14.626 * [taylor]: Taking taylor expansion of (* -0.5 (+ (/ 1 k) 1.0)) in k 14.626 * [taylor]: Taking taylor expansion of -0.5 in k 14.626 * [backup-simplify]: Simplify -0.5 into -0.5 14.626 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 14.626 * [taylor]: Taking taylor expansion of (/ 1 k) in k 14.627 * [taylor]: Taking taylor expansion of k in k 14.627 * [backup-simplify]: Simplify 0 into 0 14.627 * [backup-simplify]: Simplify 1 into 1 14.627 * [backup-simplify]: Simplify (/ 1 1) into 1 14.627 * [taylor]: Taking taylor expansion of 1.0 in k 14.627 * [backup-simplify]: Simplify 1.0 into 1.0 14.627 * [taylor]: Taking taylor expansion of (log (* -1 n)) in k 14.627 * [taylor]: Taking taylor expansion of (* -1 n) in k 14.627 * [taylor]: Taking taylor expansion of -1 in k 14.627 * [backup-simplify]: Simplify -1 into -1 14.627 * [taylor]: Taking taylor expansion of n in k 14.627 * [backup-simplify]: Simplify n into n 14.627 * [backup-simplify]: Simplify (* -1 n) into (* -1 n) 14.627 * [backup-simplify]: Simplify (log (* -1 n)) into (log (* -1 n)) 14.627 * [backup-simplify]: Simplify (+ 1 0) into 1 14.628 * [backup-simplify]: Simplify (* -0.5 1) into -0.5 14.628 * [backup-simplify]: Simplify (* -0.5 (log (* -1 n))) into (* -0.5 (log (* -1 n))) 14.628 * [backup-simplify]: Simplify (exp (* (* -0.5 (+ (/ 1 k) 1.0)) (log (* -1 n)))) into (exp (* -0.5 (* (+ (/ 1 k) 1.0) (log (* -1 n))))) 14.628 * [taylor]: Taking taylor expansion of (pow (* -1 n) (* -0.5 (+ (/ 1 k) 1.0))) in n 14.628 * [taylor]: Taking taylor expansion of (exp (* (* -0.5 (+ (/ 1 k) 1.0)) (log (* -1 n)))) in n 14.628 * [taylor]: Taking taylor expansion of (* (* -0.5 (+ (/ 1 k) 1.0)) (log (* -1 n))) in n 14.628 * [taylor]: Taking taylor expansion of (* -0.5 (+ (/ 1 k) 1.0)) in n 14.628 * [taylor]: Taking taylor expansion of -0.5 in n 14.628 * [backup-simplify]: Simplify -0.5 into -0.5 14.628 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 14.628 * [taylor]: Taking taylor expansion of (/ 1 k) in n 14.628 * [taylor]: Taking taylor expansion of k in n 14.628 * [backup-simplify]: Simplify k into k 14.628 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 14.628 * [taylor]: Taking taylor expansion of 1.0 in n 14.628 * [backup-simplify]: Simplify 1.0 into 1.0 14.628 * [taylor]: Taking taylor expansion of (log (* -1 n)) in n 14.628 * [taylor]: Taking taylor expansion of (* -1 n) in n 14.628 * [taylor]: Taking taylor expansion of -1 in n 14.628 * [backup-simplify]: Simplify -1 into -1 14.628 * [taylor]: Taking taylor expansion of n in n 14.628 * [backup-simplify]: Simplify 0 into 0 14.628 * [backup-simplify]: Simplify 1 into 1 14.629 * [backup-simplify]: Simplify (* -1 0) into 0 14.629 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 14.629 * [backup-simplify]: Simplify (log -1) into (log -1) 14.629 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 14.629 * [backup-simplify]: Simplify (* -0.5 (+ (/ 1 k) 1.0)) into (* -0.5 (+ (/ 1 k) 1.0)) 14.630 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log -1)) into (+ (log -1) (log n)) 14.630 * [backup-simplify]: Simplify (* (* -0.5 (+ (/ 1 k) 1.0)) (+ (log -1) (log n))) into (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0))) 14.631 * [backup-simplify]: Simplify (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0)))) 14.631 * [taylor]: Taking taylor expansion of (pow (* -1 n) (* -0.5 (+ (/ 1 k) 1.0))) in n 14.631 * [taylor]: Taking taylor expansion of (exp (* (* -0.5 (+ (/ 1 k) 1.0)) (log (* -1 n)))) in n 14.631 * [taylor]: Taking taylor expansion of (* (* -0.5 (+ (/ 1 k) 1.0)) (log (* -1 n))) in n 14.631 * [taylor]: Taking taylor expansion of (* -0.5 (+ (/ 1 k) 1.0)) in n 14.631 * [taylor]: Taking taylor expansion of -0.5 in n 14.631 * [backup-simplify]: Simplify -0.5 into -0.5 14.631 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 14.631 * [taylor]: Taking taylor expansion of (/ 1 k) in n 14.631 * [taylor]: Taking taylor expansion of k in n 14.631 * [backup-simplify]: Simplify k into k 14.631 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 14.631 * [taylor]: Taking taylor expansion of 1.0 in n 14.631 * [backup-simplify]: Simplify 1.0 into 1.0 14.631 * [taylor]: Taking taylor expansion of (log (* -1 n)) in n 14.631 * [taylor]: Taking taylor expansion of (* -1 n) in n 14.631 * [taylor]: Taking taylor expansion of -1 in n 14.631 * [backup-simplify]: Simplify -1 into -1 14.631 * [taylor]: Taking taylor expansion of n in n 14.631 * [backup-simplify]: Simplify 0 into 0 14.631 * [backup-simplify]: Simplify 1 into 1 14.631 * [backup-simplify]: Simplify (* -1 0) into 0 14.632 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 14.632 * [backup-simplify]: Simplify (log -1) into (log -1) 14.632 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 14.632 * [backup-simplify]: Simplify (* -0.5 (+ (/ 1 k) 1.0)) into (* -0.5 (+ (/ 1 k) 1.0)) 14.633 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log -1)) into (+ (log -1) (log n)) 14.633 * [backup-simplify]: Simplify (* (* -0.5 (+ (/ 1 k) 1.0)) (+ (log -1) (log n))) into (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0))) 14.633 * [backup-simplify]: Simplify (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0)))) 14.633 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 14.633 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 14.634 * [taylor]: Taking taylor expansion of -0.5 in k 14.634 * [backup-simplify]: Simplify -0.5 into -0.5 14.634 * [taylor]: Taking taylor expansion of (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 14.634 * [taylor]: Taking taylor expansion of (+ (log -1) (log n)) in k 14.634 * [taylor]: Taking taylor expansion of (log -1) in k 14.634 * [taylor]: Taking taylor expansion of -1 in k 14.634 * [backup-simplify]: Simplify -1 into -1 14.634 * [backup-simplify]: Simplify (log -1) into (log -1) 14.634 * [taylor]: Taking taylor expansion of (log n) in k 14.634 * [taylor]: Taking taylor expansion of n in k 14.634 * [backup-simplify]: Simplify n into n 14.634 * [backup-simplify]: Simplify (log n) into (log n) 14.634 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 14.634 * [taylor]: Taking taylor expansion of (/ 1 k) in k 14.634 * [taylor]: Taking taylor expansion of k in k 14.634 * [backup-simplify]: Simplify 0 into 0 14.634 * [backup-simplify]: Simplify 1 into 1 14.634 * [backup-simplify]: Simplify (/ 1 1) into 1 14.634 * [taylor]: Taking taylor expansion of 1.0 in k 14.634 * [backup-simplify]: Simplify 1.0 into 1.0 14.635 * [backup-simplify]: Simplify (+ (log -1) (log n)) into (+ (log -1) (log n)) 14.635 * [backup-simplify]: Simplify (+ 1 0) into 1 14.635 * [backup-simplify]: Simplify (* (+ (log -1) (log n)) 1) into (+ (log -1) (log n)) 14.635 * [backup-simplify]: Simplify (* -0.5 (+ (log -1) (log n))) into (* -0.5 (+ (log -1) (log n))) 14.636 * [backup-simplify]: Simplify (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0)))) 14.636 * [backup-simplify]: Simplify (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0)))) 14.637 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 14.638 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 14.638 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 14.638 * [backup-simplify]: Simplify (+ 0 0) into 0 14.638 * [backup-simplify]: Simplify (+ (* -0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 14.639 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log -1)) into (+ (log -1) (log n)) 14.639 * [backup-simplify]: Simplify (+ (* (* -0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (+ (log -1) (log n)))) into 0 14.640 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 14.640 * [taylor]: Taking taylor expansion of 0 in k 14.640 * [backup-simplify]: Simplify 0 into 0 14.640 * [backup-simplify]: Simplify 0 into 0 14.640 * [backup-simplify]: Simplify 0 into 0 14.641 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 14.642 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 14.642 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 14.643 * [backup-simplify]: Simplify (+ 0 0) into 0 14.643 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 14.644 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log -1)) into (+ (log -1) (log n)) 14.644 * [backup-simplify]: Simplify (+ (* (* -0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (+ (log -1) (log n))))) into 0 14.645 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 14.645 * [taylor]: Taking taylor expansion of 0 in k 14.645 * [backup-simplify]: Simplify 0 into 0 14.645 * [backup-simplify]: Simplify 0 into 0 14.645 * [backup-simplify]: Simplify 0 into 0 14.645 * [backup-simplify]: Simplify 0 into 0 14.646 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 14.651 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 14.652 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 14.652 * [backup-simplify]: Simplify (+ 0 0) into 0 14.653 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 14.654 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log -1)) into (+ (log -1) (log n)) 14.656 * [backup-simplify]: Simplify (+ (* (* -0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log -1) (log n)))))) into 0 14.658 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 14.658 * [taylor]: Taking taylor expansion of 0 in k 14.658 * [backup-simplify]: Simplify 0 into 0 14.658 * [backup-simplify]: Simplify 0 into 0 14.659 * [backup-simplify]: Simplify (exp (* -0.5 (* (+ (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* -0.5 (* (- 1.0 k) (+ (log -1) (log (/ -1 n)))))) 14.659 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 14.659 * [backup-simplify]: Simplify (pow PI (* 0.5 (- 1.0 k))) into (pow PI (* 0.5 (- 1.0 k))) 14.659 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in (k) around 0 14.659 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 14.659 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 14.659 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 14.659 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 14.659 * [taylor]: Taking taylor expansion of 0.5 in k 14.659 * [backup-simplify]: Simplify 0.5 into 0.5 14.659 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 14.659 * [taylor]: Taking taylor expansion of 1.0 in k 14.659 * [backup-simplify]: Simplify 1.0 into 1.0 14.659 * [taylor]: Taking taylor expansion of k in k 14.659 * [backup-simplify]: Simplify 0 into 0 14.659 * [backup-simplify]: Simplify 1 into 1 14.659 * [taylor]: Taking taylor expansion of (log PI) in k 14.660 * [taylor]: Taking taylor expansion of PI in k 14.660 * [backup-simplify]: Simplify PI into PI 14.660 * [backup-simplify]: Simplify (log PI) into (log PI) 14.660 * [backup-simplify]: Simplify (- 0) into 0 14.661 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 14.661 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 14.662 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 14.664 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 14.664 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 14.664 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 14.664 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 14.664 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 14.664 * [taylor]: Taking taylor expansion of 0.5 in k 14.664 * [backup-simplify]: Simplify 0.5 into 0.5 14.664 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 14.664 * [taylor]: Taking taylor expansion of 1.0 in k 14.664 * [backup-simplify]: Simplify 1.0 into 1.0 14.664 * [taylor]: Taking taylor expansion of k in k 14.664 * [backup-simplify]: Simplify 0 into 0 14.664 * [backup-simplify]: Simplify 1 into 1 14.664 * [taylor]: Taking taylor expansion of (log PI) in k 14.664 * [taylor]: Taking taylor expansion of PI in k 14.664 * [backup-simplify]: Simplify PI into PI 14.665 * [backup-simplify]: Simplify (log PI) into (log PI) 14.665 * [backup-simplify]: Simplify (- 0) into 0 14.665 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 14.666 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 14.667 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 14.668 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 14.669 * [backup-simplify]: Simplify (pow PI 0.5) into (pow PI 0.5) 14.670 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 14.671 * [backup-simplify]: Simplify (- 1) into -1 14.671 * [backup-simplify]: Simplify (+ 0 -1) into -1 14.673 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 14.675 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log PI))) into (- (* 0.5 (log PI))) 14.685 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 1) 1)))) into (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) 14.688 * [backup-simplify]: Simplify (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) into (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) 14.691 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 14.692 * [backup-simplify]: Simplify (- 0) into 0 14.692 * [backup-simplify]: Simplify (+ 0 0) into 0 14.693 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 14.695 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log PI)))) into 0 14.707 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) 14.711 * [backup-simplify]: Simplify (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) into (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) 14.721 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) (pow k 2)) (+ (* (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) k) (pow PI 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log PI) 2)) (pow (pow PI 1.0) 0.5))) (pow PI 0.5)) (* 0.5 (* (* k (log PI)) (pow (pow PI 1.0) 0.5)))) 14.721 * [backup-simplify]: Simplify (pow PI (* 0.5 (- 1.0 (/ 1 k)))) into (pow PI (* 0.5 (- 1.0 (/ 1 k)))) 14.721 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 14.721 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 14.721 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 14.721 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 14.721 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 14.721 * [taylor]: Taking taylor expansion of 0.5 in k 14.721 * [backup-simplify]: Simplify 0.5 into 0.5 14.721 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 14.721 * [taylor]: Taking taylor expansion of 1.0 in k 14.722 * [backup-simplify]: Simplify 1.0 into 1.0 14.722 * [taylor]: Taking taylor expansion of (/ 1 k) in k 14.722 * [taylor]: Taking taylor expansion of k in k 14.722 * [backup-simplify]: Simplify 0 into 0 14.722 * [backup-simplify]: Simplify 1 into 1 14.722 * [backup-simplify]: Simplify (/ 1 1) into 1 14.722 * [taylor]: Taking taylor expansion of (log PI) in k 14.722 * [taylor]: Taking taylor expansion of PI in k 14.722 * [backup-simplify]: Simplify PI into PI 14.723 * [backup-simplify]: Simplify (log PI) into (log PI) 14.723 * [backup-simplify]: Simplify (- 1) into -1 14.723 * [backup-simplify]: Simplify (+ 0 -1) into -1 14.724 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 14.725 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 14.725 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 14.725 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 14.725 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 14.725 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 14.725 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 14.725 * [taylor]: Taking taylor expansion of 0.5 in k 14.725 * [backup-simplify]: Simplify 0.5 into 0.5 14.725 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 14.726 * [taylor]: Taking taylor expansion of 1.0 in k 14.726 * [backup-simplify]: Simplify 1.0 into 1.0 14.726 * [taylor]: Taking taylor expansion of (/ 1 k) in k 14.726 * [taylor]: Taking taylor expansion of k in k 14.726 * [backup-simplify]: Simplify 0 into 0 14.726 * [backup-simplify]: Simplify 1 into 1 14.726 * [backup-simplify]: Simplify (/ 1 1) into 1 14.726 * [taylor]: Taking taylor expansion of (log PI) in k 14.726 * [taylor]: Taking taylor expansion of PI in k 14.726 * [backup-simplify]: Simplify PI into PI 14.727 * [backup-simplify]: Simplify (log PI) into (log PI) 14.727 * [backup-simplify]: Simplify (- 1) into -1 14.727 * [backup-simplify]: Simplify (+ 0 -1) into -1 14.728 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 14.729 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 14.729 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 14.730 * [backup-simplify]: Simplify (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 14.730 * [backup-simplify]: Simplify 0 into 0 14.730 * [backup-simplify]: Simplify 0 into 0 14.730 * [backup-simplify]: Simplify 0 into 0 14.730 * [backup-simplify]: Simplify 0 into 0 14.730 * [backup-simplify]: Simplify 0 into 0 14.730 * [backup-simplify]: Simplify 0 into 0 14.731 * [backup-simplify]: Simplify (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.5 (* (- 1.0 k) (log PI)))) 14.731 * [backup-simplify]: Simplify (pow PI (* 0.5 (- 1.0 (/ 1 (- k))))) into (pow PI (* 0.5 (+ (/ 1 k) 1.0))) 14.731 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 14.731 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 14.731 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 14.731 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 14.731 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 14.731 * [taylor]: Taking taylor expansion of 0.5 in k 14.731 * [backup-simplify]: Simplify 0.5 into 0.5 14.731 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 14.731 * [taylor]: Taking taylor expansion of (/ 1 k) in k 14.731 * [taylor]: Taking taylor expansion of k in k 14.731 * [backup-simplify]: Simplify 0 into 0 14.731 * [backup-simplify]: Simplify 1 into 1 14.732 * [backup-simplify]: Simplify (/ 1 1) into 1 14.732 * [taylor]: Taking taylor expansion of 1.0 in k 14.732 * [backup-simplify]: Simplify 1.0 into 1.0 14.732 * [taylor]: Taking taylor expansion of (log PI) in k 14.732 * [taylor]: Taking taylor expansion of PI in k 14.732 * [backup-simplify]: Simplify PI into PI 14.732 * [backup-simplify]: Simplify (log PI) into (log PI) 14.733 * [backup-simplify]: Simplify (+ 1 0) into 1 14.733 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 14.734 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 14.735 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 14.735 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 14.735 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 14.735 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 14.735 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 14.735 * [taylor]: Taking taylor expansion of 0.5 in k 14.735 * [backup-simplify]: Simplify 0.5 into 0.5 14.735 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 14.735 * [taylor]: Taking taylor expansion of (/ 1 k) in k 14.735 * [taylor]: Taking taylor expansion of k in k 14.735 * [backup-simplify]: Simplify 0 into 0 14.735 * [backup-simplify]: Simplify 1 into 1 14.736 * [backup-simplify]: Simplify (/ 1 1) into 1 14.736 * [taylor]: Taking taylor expansion of 1.0 in k 14.736 * [backup-simplify]: Simplify 1.0 into 1.0 14.736 * [taylor]: Taking taylor expansion of (log PI) in k 14.736 * [taylor]: Taking taylor expansion of PI in k 14.736 * [backup-simplify]: Simplify PI into PI 14.736 * [backup-simplify]: Simplify (log PI) into (log PI) 14.737 * [backup-simplify]: Simplify (+ 1 0) into 1 14.737 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 14.738 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 14.738 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 14.739 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 14.739 * [backup-simplify]: Simplify 0 into 0 14.739 * [backup-simplify]: Simplify 0 into 0 14.739 * [backup-simplify]: Simplify 0 into 0 14.739 * [backup-simplify]: Simplify 0 into 0 14.739 * [backup-simplify]: Simplify 0 into 0 14.739 * [backup-simplify]: Simplify 0 into 0 14.740 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (log PI)))) into (exp (* 0.5 (* (- 1.0 k) (log PI)))) 14.740 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 14.741 * [backup-simplify]: Simplify (* (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow PI (* 0.5 (- 1.0 k)))) (pow (/ 1 n) (* -0.5 (- 1.0 k)))) into (* (pow PI (* 0.5 (- 1.0 k))) (* (pow (/ 1 n) (* -0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k))))) 14.741 * [approximate]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (* (pow (/ 1 n) (* -0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k))))) in (k n) around 0 14.741 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (* (pow (/ 1 n) (* -0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k))))) in n 14.741 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in n 14.741 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in n 14.741 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in n 14.741 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 14.741 * [taylor]: Taking taylor expansion of 0.5 in n 14.741 * [backup-simplify]: Simplify 0.5 into 0.5 14.741 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 14.741 * [taylor]: Taking taylor expansion of 1.0 in n 14.741 * [backup-simplify]: Simplify 1.0 into 1.0 14.741 * [taylor]: Taking taylor expansion of k in n 14.741 * [backup-simplify]: Simplify k into k 14.741 * [taylor]: Taking taylor expansion of (log PI) in n 14.741 * [taylor]: Taking taylor expansion of PI in n 14.741 * [backup-simplify]: Simplify PI into PI 14.742 * [backup-simplify]: Simplify (log PI) into (log PI) 14.742 * [backup-simplify]: Simplify (- k) into (- k) 14.742 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 14.742 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 14.743 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log PI)) into (* 0.5 (* (- 1.0 k) (log PI))) 14.743 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log PI)))) into (exp (* 0.5 (* (- 1.0 k) (log PI)))) 14.743 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* -0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))) in n 14.743 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* -0.5 (- 1.0 k))) in n 14.743 * [taylor]: Taking taylor expansion of (exp (* (* -0.5 (- 1.0 k)) (log (/ 1 n)))) in n 14.743 * [taylor]: Taking taylor expansion of (* (* -0.5 (- 1.0 k)) (log (/ 1 n))) in n 14.743 * [taylor]: Taking taylor expansion of (* -0.5 (- 1.0 k)) in n 14.743 * [taylor]: Taking taylor expansion of -0.5 in n 14.743 * [backup-simplify]: Simplify -0.5 into -0.5 14.743 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 14.743 * [taylor]: Taking taylor expansion of 1.0 in n 14.743 * [backup-simplify]: Simplify 1.0 into 1.0 14.743 * [taylor]: Taking taylor expansion of k in n 14.743 * [backup-simplify]: Simplify k into k 14.744 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 14.744 * [taylor]: Taking taylor expansion of (/ 1 n) in n 14.744 * [taylor]: Taking taylor expansion of n in n 14.744 * [backup-simplify]: Simplify 0 into 0 14.744 * [backup-simplify]: Simplify 1 into 1 14.744 * [backup-simplify]: Simplify (/ 1 1) into 1 14.744 * [backup-simplify]: Simplify (log 1) into 0 14.744 * [backup-simplify]: Simplify (- k) into (- k) 14.744 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 14.745 * [backup-simplify]: Simplify (* -0.5 (- 1.0 k)) into (* -0.5 (- 1.0 k)) 14.745 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 14.745 * [backup-simplify]: Simplify (* (* -0.5 (- 1.0 k)) (- (log n))) into (* 0.5 (* (- 1.0 k) (log n))) 14.745 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 14.745 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in n 14.745 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in n 14.745 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in n 14.746 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 14.746 * [taylor]: Taking taylor expansion of 0.5 in n 14.746 * [backup-simplify]: Simplify 0.5 into 0.5 14.746 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 14.746 * [taylor]: Taking taylor expansion of 1.0 in n 14.746 * [backup-simplify]: Simplify 1.0 into 1.0 14.746 * [taylor]: Taking taylor expansion of k in n 14.746 * [backup-simplify]: Simplify k into k 14.746 * [taylor]: Taking taylor expansion of (log 2.0) in n 14.746 * [taylor]: Taking taylor expansion of 2.0 in n 14.746 * [backup-simplify]: Simplify 2.0 into 2.0 14.746 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 14.746 * [backup-simplify]: Simplify (- k) into (- k) 14.746 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 14.746 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 14.747 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log 2.0)) into (* 0.5 (* (- 1.0 k) (log 2.0))) 14.748 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log 2.0)))) into (exp (* 0.5 (* (- 1.0 k) (log 2.0)))) 14.748 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (* (pow (/ 1 n) (* -0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k))))) in k 14.748 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 14.748 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 14.748 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 14.748 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 14.748 * [taylor]: Taking taylor expansion of 0.5 in k 14.748 * [backup-simplify]: Simplify 0.5 into 0.5 14.748 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 14.748 * [taylor]: Taking taylor expansion of 1.0 in k 14.748 * [backup-simplify]: Simplify 1.0 into 1.0 14.748 * [taylor]: Taking taylor expansion of k in k 14.748 * [backup-simplify]: Simplify 0 into 0 14.748 * [backup-simplify]: Simplify 1 into 1 14.748 * [taylor]: Taking taylor expansion of (log PI) in k 14.748 * [taylor]: Taking taylor expansion of PI in k 14.748 * [backup-simplify]: Simplify PI into PI 14.749 * [backup-simplify]: Simplify (log PI) into (log PI) 14.749 * [backup-simplify]: Simplify (- 0) into 0 14.749 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 14.750 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 14.751 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 14.752 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 14.752 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* -0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))) in k 14.752 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* -0.5 (- 1.0 k))) in k 14.752 * [taylor]: Taking taylor expansion of (exp (* (* -0.5 (- 1.0 k)) (log (/ 1 n)))) in k 14.752 * [taylor]: Taking taylor expansion of (* (* -0.5 (- 1.0 k)) (log (/ 1 n))) in k 14.752 * [taylor]: Taking taylor expansion of (* -0.5 (- 1.0 k)) in k 14.752 * [taylor]: Taking taylor expansion of -0.5 in k 14.752 * [backup-simplify]: Simplify -0.5 into -0.5 14.752 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 14.752 * [taylor]: Taking taylor expansion of 1.0 in k 14.752 * [backup-simplify]: Simplify 1.0 into 1.0 14.752 * [taylor]: Taking taylor expansion of k in k 14.752 * [backup-simplify]: Simplify 0 into 0 14.752 * [backup-simplify]: Simplify 1 into 1 14.752 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 14.752 * [taylor]: Taking taylor expansion of (/ 1 n) in k 14.752 * [taylor]: Taking taylor expansion of n in k 14.752 * [backup-simplify]: Simplify n into n 14.752 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 14.752 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 14.752 * [backup-simplify]: Simplify (- 0) into 0 14.753 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 14.753 * [backup-simplify]: Simplify (* -0.5 1.0) into -0.5 14.753 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 14.753 * [backup-simplify]: Simplify (exp (* -0.5 (log (/ 1 n)))) into (pow (/ 1 n) -0.5) 14.753 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in k 14.753 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in k 14.753 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in k 14.753 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 14.753 * [taylor]: Taking taylor expansion of 0.5 in k 14.753 * [backup-simplify]: Simplify 0.5 into 0.5 14.753 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 14.753 * [taylor]: Taking taylor expansion of 1.0 in k 14.753 * [backup-simplify]: Simplify 1.0 into 1.0 14.753 * [taylor]: Taking taylor expansion of k in k 14.753 * [backup-simplify]: Simplify 0 into 0 14.753 * [backup-simplify]: Simplify 1 into 1 14.753 * [taylor]: Taking taylor expansion of (log 2.0) in k 14.753 * [taylor]: Taking taylor expansion of 2.0 in k 14.753 * [backup-simplify]: Simplify 2.0 into 2.0 14.754 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 14.754 * [backup-simplify]: Simplify (- 0) into 0 14.754 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 14.754 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 14.755 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 14.756 * [backup-simplify]: Simplify (exp (* 0.5 (log 2.0))) into (pow 2.0 0.5) 14.756 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (* (pow (/ 1 n) (* -0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k))))) in k 14.756 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 14.756 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 14.756 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 14.756 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 14.756 * [taylor]: Taking taylor expansion of 0.5 in k 14.756 * [backup-simplify]: Simplify 0.5 into 0.5 14.756 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 14.756 * [taylor]: Taking taylor expansion of 1.0 in k 14.756 * [backup-simplify]: Simplify 1.0 into 1.0 14.756 * [taylor]: Taking taylor expansion of k in k 14.756 * [backup-simplify]: Simplify 0 into 0 14.756 * [backup-simplify]: Simplify 1 into 1 14.756 * [taylor]: Taking taylor expansion of (log PI) in k 14.756 * [taylor]: Taking taylor expansion of PI in k 14.756 * [backup-simplify]: Simplify PI into PI 14.757 * [backup-simplify]: Simplify (log PI) into (log PI) 14.757 * [backup-simplify]: Simplify (- 0) into 0 14.757 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 14.757 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 14.758 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 14.765 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 14.765 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* -0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))) in k 14.766 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* -0.5 (- 1.0 k))) in k 14.766 * [taylor]: Taking taylor expansion of (exp (* (* -0.5 (- 1.0 k)) (log (/ 1 n)))) in k 14.766 * [taylor]: Taking taylor expansion of (* (* -0.5 (- 1.0 k)) (log (/ 1 n))) in k 14.766 * [taylor]: Taking taylor expansion of (* -0.5 (- 1.0 k)) in k 14.766 * [taylor]: Taking taylor expansion of -0.5 in k 14.766 * [backup-simplify]: Simplify -0.5 into -0.5 14.766 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 14.766 * [taylor]: Taking taylor expansion of 1.0 in k 14.766 * [backup-simplify]: Simplify 1.0 into 1.0 14.766 * [taylor]: Taking taylor expansion of k in k 14.766 * [backup-simplify]: Simplify 0 into 0 14.766 * [backup-simplify]: Simplify 1 into 1 14.766 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 14.766 * [taylor]: Taking taylor expansion of (/ 1 n) in k 14.766 * [taylor]: Taking taylor expansion of n in k 14.766 * [backup-simplify]: Simplify n into n 14.766 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 14.766 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 14.766 * [backup-simplify]: Simplify (- 0) into 0 14.766 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 14.767 * [backup-simplify]: Simplify (* -0.5 1.0) into -0.5 14.767 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 14.767 * [backup-simplify]: Simplify (exp (* -0.5 (log (/ 1 n)))) into (pow (/ 1 n) -0.5) 14.767 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in k 14.767 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in k 14.767 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in k 14.767 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 14.767 * [taylor]: Taking taylor expansion of 0.5 in k 14.767 * [backup-simplify]: Simplify 0.5 into 0.5 14.767 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 14.767 * [taylor]: Taking taylor expansion of 1.0 in k 14.767 * [backup-simplify]: Simplify 1.0 into 1.0 14.767 * [taylor]: Taking taylor expansion of k in k 14.767 * [backup-simplify]: Simplify 0 into 0 14.767 * [backup-simplify]: Simplify 1 into 1 14.767 * [taylor]: Taking taylor expansion of (log 2.0) in k 14.767 * [taylor]: Taking taylor expansion of 2.0 in k 14.767 * [backup-simplify]: Simplify 2.0 into 2.0 14.767 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 14.768 * [backup-simplify]: Simplify (- 0) into 0 14.768 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 14.768 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 14.769 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 14.770 * [backup-simplify]: Simplify (exp (* 0.5 (log 2.0))) into (pow 2.0 0.5) 14.770 * [backup-simplify]: Simplify (* (pow (/ 1 n) -0.5) (pow 2.0 0.5)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 0.5) 14.771 * [backup-simplify]: Simplify (* (pow PI 0.5) (pow (* (pow n 1.0) (pow 2.0 1.0)) 0.5)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) 14.771 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 14.771 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 14.771 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 14.771 * [taylor]: Taking taylor expansion of 0.5 in n 14.771 * [backup-simplify]: Simplify 0.5 into 0.5 14.771 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 14.771 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 14.771 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 14.771 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 14.771 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 14.771 * [taylor]: Taking taylor expansion of 1.0 in n 14.772 * [backup-simplify]: Simplify 1.0 into 1.0 14.772 * [taylor]: Taking taylor expansion of (log 2.0) in n 14.772 * [taylor]: Taking taylor expansion of 2.0 in n 14.772 * [backup-simplify]: Simplify 2.0 into 2.0 14.772 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 14.772 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 14.773 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 14.773 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 14.773 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 14.773 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 14.773 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 14.773 * [taylor]: Taking taylor expansion of 1.0 in n 14.773 * [backup-simplify]: Simplify 1.0 into 1.0 14.773 * [taylor]: Taking taylor expansion of (log n) in n 14.773 * [taylor]: Taking taylor expansion of n in n 14.774 * [backup-simplify]: Simplify 0 into 0 14.774 * [backup-simplify]: Simplify 1 into 1 14.774 * [backup-simplify]: Simplify (log 1) into 0 14.774 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 14.774 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 14.774 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 14.774 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 14.774 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 14.774 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 14.774 * [taylor]: Taking taylor expansion of 1.0 in n 14.774 * [backup-simplify]: Simplify 1.0 into 1.0 14.774 * [taylor]: Taking taylor expansion of (log PI) in n 14.774 * [taylor]: Taking taylor expansion of PI in n 14.774 * [backup-simplify]: Simplify PI into PI 14.775 * [backup-simplify]: Simplify (log PI) into (log PI) 14.775 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 14.776 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 14.777 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 14.778 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 14.779 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 14.780 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 14.781 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 14.782 * [backup-simplify]: Simplify (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) into (pow (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5) 14.784 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 14.784 * [backup-simplify]: Simplify (- 1) into -1 14.785 * [backup-simplify]: Simplify (+ 0 -1) into -1 14.786 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 14.789 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log 2.0))) into (- (* 0.5 (log 2.0))) 14.797 * [backup-simplify]: Simplify (* (exp (* 0.5 (log 2.0))) (+ (* (/ (pow (- (* 0.5 (log 2.0))) 1) 1)))) into (* -0.5 (* (log 2.0) (pow (pow 2.0 1.0) 0.5))) 14.797 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 14.798 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 n) 1)))) 1) into 0 14.799 * [backup-simplify]: Simplify (- 1) into -1 14.799 * [backup-simplify]: Simplify (+ 0 -1) into -1 14.801 * [backup-simplify]: Simplify (+ (* -0.5 -1) (* 0 1.0)) into 0.5 14.801 * [backup-simplify]: Simplify (+ (* -0.5 0) (* 0.5 (log (/ 1 n)))) into (* 0.5 (log (/ 1 n))) 14.802 * [backup-simplify]: Simplify (* (exp (* -0.5 (log (/ 1 n)))) (+ (* (/ (pow (* 0.5 (log (/ 1 n))) 1) 1)))) into (* 0.5 (* (log (/ 1 n)) (pow (pow n 1.0) 0.5))) 14.806 * [backup-simplify]: Simplify (+ (* (pow (/ 1 n) -0.5) (* -0.5 (* (log 2.0) (pow (pow 2.0 1.0) 0.5)))) (* (* 0.5 (* (log (/ 1 n)) (pow (pow n 1.0) 0.5))) (pow 2.0 0.5))) into (- (* 0.5 (* (log (/ 1 n)) (pow (* (pow n 1.0) (pow 2.0 1.0)) 0.5))) (* 0.5 (* (log 2.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 0.5)))) 14.808 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 14.808 * [backup-simplify]: Simplify (- 1) into -1 14.809 * [backup-simplify]: Simplify (+ 0 -1) into -1 14.810 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 14.812 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log PI))) into (- (* 0.5 (log PI))) 14.817 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 1) 1)))) into (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) 14.822 * [backup-simplify]: Simplify (+ (* (pow PI 0.5) (- (* 0.5 (* (log (/ 1 n)) (pow (* (pow n 1.0) (pow 2.0 1.0)) 0.5))) (* 0.5 (* (log 2.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 0.5))))) (* (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) (pow (* (pow n 1.0) (pow 2.0 1.0)) 0.5))) into (- (* 0.5 (* (log (/ 1 n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.5 (* (log 2.0) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))))) 14.822 * [taylor]: Taking taylor expansion of (- (* 0.5 (* (log (/ 1 n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.5 (* (log 2.0) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))))) in n 14.822 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 14.822 * [taylor]: Taking taylor expansion of 0.5 in n 14.822 * [backup-simplify]: Simplify 0.5 into 0.5 14.822 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 14.822 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 14.822 * [taylor]: Taking taylor expansion of (/ 1 n) in n 14.822 * [taylor]: Taking taylor expansion of n in n 14.822 * [backup-simplify]: Simplify 0 into 0 14.822 * [backup-simplify]: Simplify 1 into 1 14.822 * [backup-simplify]: Simplify (/ 1 1) into 1 14.822 * [backup-simplify]: Simplify (log 1) into 0 14.822 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 14.822 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 14.823 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 14.823 * [taylor]: Taking taylor expansion of 0.5 in n 14.823 * [backup-simplify]: Simplify 0.5 into 0.5 14.823 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 14.823 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 14.823 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 14.823 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 14.823 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 14.823 * [taylor]: Taking taylor expansion of 1.0 in n 14.823 * [backup-simplify]: Simplify 1.0 into 1.0 14.823 * [taylor]: Taking taylor expansion of (log PI) in n 14.823 * [taylor]: Taking taylor expansion of PI in n 14.823 * [backup-simplify]: Simplify PI into PI 14.823 * [backup-simplify]: Simplify (log PI) into (log PI) 14.824 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 14.825 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 14.825 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 14.825 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 14.825 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 14.825 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 14.825 * [taylor]: Taking taylor expansion of 1.0 in n 14.825 * [backup-simplify]: Simplify 1.0 into 1.0 14.825 * [taylor]: Taking taylor expansion of (log n) in n 14.825 * [taylor]: Taking taylor expansion of n in n 14.825 * [backup-simplify]: Simplify 0 into 0 14.825 * [backup-simplify]: Simplify 1 into 1 14.825 * [backup-simplify]: Simplify (log 1) into 0 14.825 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 14.825 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 14.825 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 14.825 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 14.825 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 14.825 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 14.825 * [taylor]: Taking taylor expansion of 1.0 in n 14.825 * [backup-simplify]: Simplify 1.0 into 1.0 14.825 * [taylor]: Taking taylor expansion of (log 2.0) in n 14.825 * [taylor]: Taking taylor expansion of 2.0 in n 14.825 * [backup-simplify]: Simplify 2.0 into 2.0 14.826 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 14.826 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 14.827 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 14.828 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 14.828 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 14.829 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 14.830 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 14.831 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 14.831 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (log 2.0) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI)))) in n 14.831 * [taylor]: Taking taylor expansion of (* 0.5 (* (log 2.0) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 14.831 * [taylor]: Taking taylor expansion of 0.5 in n 14.831 * [backup-simplify]: Simplify 0.5 into 0.5 14.831 * [taylor]: Taking taylor expansion of (* (log 2.0) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 14.831 * [taylor]: Taking taylor expansion of (log 2.0) in n 14.831 * [taylor]: Taking taylor expansion of 2.0 in n 14.831 * [backup-simplify]: Simplify 2.0 into 2.0 14.832 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 14.832 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 14.832 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 14.832 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 14.832 * [taylor]: Taking taylor expansion of 0.5 in n 14.832 * [backup-simplify]: Simplify 0.5 into 0.5 14.832 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 14.832 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 14.832 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 14.832 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 14.832 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 14.832 * [taylor]: Taking taylor expansion of 1.0 in n 14.832 * [backup-simplify]: Simplify 1.0 into 1.0 14.832 * [taylor]: Taking taylor expansion of (log PI) in n 14.832 * [taylor]: Taking taylor expansion of PI in n 14.832 * [backup-simplify]: Simplify PI into PI 14.833 * [backup-simplify]: Simplify (log PI) into (log PI) 14.834 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 14.835 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 14.835 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 14.835 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 14.835 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 14.835 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 14.836 * [taylor]: Taking taylor expansion of 1.0 in n 14.836 * [backup-simplify]: Simplify 1.0 into 1.0 14.836 * [taylor]: Taking taylor expansion of (log n) in n 14.836 * [taylor]: Taking taylor expansion of n in n 14.836 * [backup-simplify]: Simplify 0 into 0 14.836 * [backup-simplify]: Simplify 1 into 1 14.836 * [backup-simplify]: Simplify (log 1) into 0 14.836 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 14.837 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 14.837 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 14.837 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 14.837 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 14.837 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 14.837 * [taylor]: Taking taylor expansion of 1.0 in n 14.837 * [backup-simplify]: Simplify 1.0 into 1.0 14.837 * [taylor]: Taking taylor expansion of (log 2.0) in n 14.837 * [taylor]: Taking taylor expansion of 2.0 in n 14.837 * [backup-simplify]: Simplify 2.0 into 2.0 14.837 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 14.838 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 14.840 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 14.840 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 14.842 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 14.843 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 14.844 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 14.846 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 14.846 * [taylor]: Taking taylor expansion of (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) in n 14.846 * [taylor]: Taking taylor expansion of 0.5 in n 14.846 * [backup-simplify]: Simplify 0.5 into 0.5 14.846 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI)) in n 14.846 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 14.846 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 14.846 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 14.846 * [taylor]: Taking taylor expansion of 0.5 in n 14.846 * [backup-simplify]: Simplify 0.5 into 0.5 14.846 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 14.846 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 14.846 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 14.846 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 14.846 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 14.846 * [taylor]: Taking taylor expansion of 1.0 in n 14.846 * [backup-simplify]: Simplify 1.0 into 1.0 14.847 * [taylor]: Taking taylor expansion of (log 2.0) in n 14.847 * [taylor]: Taking taylor expansion of 2.0 in n 14.847 * [backup-simplify]: Simplify 2.0 into 2.0 14.847 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 14.848 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 14.849 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 14.849 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 14.849 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 14.849 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 14.849 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 14.849 * [taylor]: Taking taylor expansion of 1.0 in n 14.849 * [backup-simplify]: Simplify 1.0 into 1.0 14.849 * [taylor]: Taking taylor expansion of (log n) in n 14.850 * [taylor]: Taking taylor expansion of n in n 14.850 * [backup-simplify]: Simplify 0 into 0 14.850 * [backup-simplify]: Simplify 1 into 1 14.850 * [backup-simplify]: Simplify (log 1) into 0 14.850 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 14.850 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 14.851 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 14.851 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 14.851 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 14.851 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 14.851 * [taylor]: Taking taylor expansion of 1.0 in n 14.851 * [backup-simplify]: Simplify 1.0 into 1.0 14.851 * [taylor]: Taking taylor expansion of (log PI) in n 14.851 * [taylor]: Taking taylor expansion of PI in n 14.851 * [backup-simplify]: Simplify PI into PI 14.851 * [backup-simplify]: Simplify (log PI) into (log PI) 14.852 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 14.854 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 14.855 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 14.856 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 14.857 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 14.859 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 14.860 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 14.860 * [taylor]: Taking taylor expansion of (log PI) in n 14.860 * [taylor]: Taking taylor expansion of PI in n 14.860 * [backup-simplify]: Simplify PI into PI 14.861 * [backup-simplify]: Simplify (log PI) into (log PI) 14.861 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 14.863 * [backup-simplify]: Simplify (* (- (log n)) (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* -1 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) 14.865 * [backup-simplify]: Simplify (* 0.5 (* -1 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)))) into (* -0.5 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) 14.867 * [backup-simplify]: Simplify (* (log 2.0) (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* (log 2.0) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 14.869 * [backup-simplify]: Simplify (* 0.5 (* (log 2.0) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) into (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 14.871 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (log PI)) into (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI)) 14.872 * [backup-simplify]: Simplify (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) into (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log PI))) 14.876 * [backup-simplify]: Simplify (+ (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log PI)))) into (+ (* 0.5 (* (log 2.0) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI)))) 14.880 * [backup-simplify]: Simplify (- (+ (* 0.5 (* (log 2.0) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))))) into (- (+ (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log PI))))) 14.885 * [backup-simplify]: Simplify (+ (* -0.5 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log PI)))))) into (- (+ (* 0.5 (* (log 2.0) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))) 14.891 * [backup-simplify]: Simplify (- (+ (* 0.5 (* (log 2.0) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))) into (- (+ (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log PI))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))) 14.893 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 14.893 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 14.903 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 14.904 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 14.905 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 14.906 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0 14.907 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 14.907 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow PI 1.0))) into 0 14.909 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 14.910 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 14.911 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 14.913 * [backup-simplify]: Simplify (+ (* (pow 2.0 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow PI 1.0)) 1.0))) into 0 14.915 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1)))) 1) into 0 14.916 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)))) into 0 14.917 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 14.917 * [backup-simplify]: Simplify 0 into 0 14.919 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2.0 1)))) 2) into 0 14.919 * [backup-simplify]: Simplify (- 0) into 0 14.919 * [backup-simplify]: Simplify (+ 0 0) into 0 14.920 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 14.921 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log 2.0)))) into 0 14.927 * [backup-simplify]: Simplify (* (exp (* 0.5 (log 2.0))) (+ (* (/ (pow (- (* 0.5 (log 2.0))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log 2.0) 2) (pow (pow 2.0 1.0) 0.5))) 14.928 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 14.929 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 n) 1)))) 2) into 0 14.929 * [backup-simplify]: Simplify (- 0) into 0 14.929 * [backup-simplify]: Simplify (+ 0 0) into 0 14.930 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 14.930 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0.5 0) (* 0 (log (/ 1 n))))) into 0 14.931 * [backup-simplify]: Simplify (* (exp (* -0.5 (log (/ 1 n)))) (+ (* (/ (pow (* 0.5 (log (/ 1 n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log (/ 1 n)) 2) (pow (pow n 1.0) 0.5))) 14.937 * [backup-simplify]: Simplify (+ (* (pow (/ 1 n) -0.5) (* 0.125 (* (pow (log 2.0) 2) (pow (pow 2.0 1.0) 0.5)))) (+ (* (* 0.5 (* (log (/ 1 n)) (pow (pow n 1.0) 0.5))) (* -0.5 (* (log 2.0) (pow (pow 2.0 1.0) 0.5)))) (* (* 0.125 (* (pow (log (/ 1 n)) 2) (pow (pow n 1.0) 0.5))) (pow 2.0 0.5)))) into (- (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow n 1.0) (pow 2.0 1.0)) 0.5))) (* 0.125 (* (pow (log (/ 1 n)) 2) (pow (* (pow n 1.0) (pow 2.0 1.0)) 0.5)))) (* 0.25 (* (* (log 2.0) (log (/ 1 n))) (pow (* (pow n 1.0) (pow 2.0 1.0)) 0.5)))) 14.938 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 14.939 * [backup-simplify]: Simplify (- 0) into 0 14.939 * [backup-simplify]: Simplify (+ 0 0) into 0 14.940 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 14.940 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log PI)))) into 0 14.951 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) 14.970 * [backup-simplify]: Simplify (+ (* (pow PI 0.5) (- (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow n 1.0) (pow 2.0 1.0)) 0.5))) (* 0.125 (* (pow (log (/ 1 n)) 2) (pow (* (pow n 1.0) (pow 2.0 1.0)) 0.5)))) (* 0.25 (* (* (log 2.0) (log (/ 1 n))) (pow (* (pow n 1.0) (pow 2.0 1.0)) 0.5))))) (+ (* (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) (- (* 0.5 (* (log (/ 1 n)) (pow (* (pow n 1.0) (pow 2.0 1.0)) 0.5))) (* 0.5 (* (log 2.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 0.5))))) (* (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) (pow (* (pow n 1.0) (pow 2.0 1.0)) 0.5)))) into (- (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.125 (* (pow (log (/ 1 n)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))) (+ (* 0.25 (* (* (log (/ 1 n)) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.25 (* (* (log 2.0) (log (/ 1 n))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) 14.970 * [taylor]: Taking taylor expansion of (- (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.125 (* (pow (log (/ 1 n)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))) (+ (* 0.25 (* (* (log (/ 1 n)) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.25 (* (* (log 2.0) (log (/ 1 n))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) in n 14.970 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.125 (* (pow (log (/ 1 n)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))) in n 14.970 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 14.970 * [taylor]: Taking taylor expansion of 0.125 in n 14.970 * [backup-simplify]: Simplify 0.125 into 0.125 14.970 * [taylor]: Taking taylor expansion of (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 14.970 * [taylor]: Taking taylor expansion of (pow (log 2.0) 2) in n 14.971 * [taylor]: Taking taylor expansion of (log 2.0) in n 14.971 * [taylor]: Taking taylor expansion of 2.0 in n 14.971 * [backup-simplify]: Simplify 2.0 into 2.0 14.971 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 14.971 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 14.971 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 14.971 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 14.971 * [taylor]: Taking taylor expansion of 0.5 in n 14.971 * [backup-simplify]: Simplify 0.5 into 0.5 14.971 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 14.971 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 14.971 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 14.971 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 14.971 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 14.971 * [taylor]: Taking taylor expansion of 1.0 in n 14.972 * [backup-simplify]: Simplify 1.0 into 1.0 14.972 * [taylor]: Taking taylor expansion of (log 2.0) in n 14.972 * [taylor]: Taking taylor expansion of 2.0 in n 14.972 * [backup-simplify]: Simplify 2.0 into 2.0 14.972 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 14.973 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 14.974 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 14.974 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 14.975 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 14.975 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 14.975 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 14.975 * [taylor]: Taking taylor expansion of 1.0 in n 14.975 * [backup-simplify]: Simplify 1.0 into 1.0 14.975 * [taylor]: Taking taylor expansion of (log n) in n 14.975 * [taylor]: Taking taylor expansion of n in n 14.975 * [backup-simplify]: Simplify 0 into 0 14.975 * [backup-simplify]: Simplify 1 into 1 14.975 * [backup-simplify]: Simplify (log 1) into 0 14.976 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 14.976 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 14.976 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 14.976 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 14.976 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 14.976 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 14.976 * [taylor]: Taking taylor expansion of 1.0 in n 14.976 * [backup-simplify]: Simplify 1.0 into 1.0 14.976 * [taylor]: Taking taylor expansion of (log PI) in n 14.976 * [taylor]: Taking taylor expansion of PI in n 14.976 * [backup-simplify]: Simplify PI into PI 14.977 * [backup-simplify]: Simplify (log PI) into (log PI) 14.978 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 14.979 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 14.980 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 14.981 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 14.982 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 14.984 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 14.985 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 14.985 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (pow (log (/ 1 n)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) in n 14.985 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (log (/ 1 n)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 14.985 * [taylor]: Taking taylor expansion of 0.125 in n 14.985 * [backup-simplify]: Simplify 0.125 into 0.125 14.985 * [taylor]: Taking taylor expansion of (* (pow (log (/ 1 n)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 14.985 * [taylor]: Taking taylor expansion of (pow (log (/ 1 n)) 2) in n 14.985 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 14.985 * [taylor]: Taking taylor expansion of (/ 1 n) in n 14.985 * [taylor]: Taking taylor expansion of n in n 14.985 * [backup-simplify]: Simplify 0 into 0 14.985 * [backup-simplify]: Simplify 1 into 1 14.986 * [backup-simplify]: Simplify (/ 1 1) into 1 14.986 * [backup-simplify]: Simplify (log 1) into 0 14.987 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 14.987 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 14.987 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 14.987 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 14.987 * [taylor]: Taking taylor expansion of 0.5 in n 14.987 * [backup-simplify]: Simplify 0.5 into 0.5 14.987 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 14.987 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 14.987 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 14.987 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 14.987 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 14.987 * [taylor]: Taking taylor expansion of 1.0 in n 14.987 * [backup-simplify]: Simplify 1.0 into 1.0 14.987 * [taylor]: Taking taylor expansion of (log 2.0) in n 14.987 * [taylor]: Taking taylor expansion of 2.0 in n 14.987 * [backup-simplify]: Simplify 2.0 into 2.0 14.987 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 14.988 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 14.990 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 14.990 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 14.990 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 14.990 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 14.990 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 14.990 * [taylor]: Taking taylor expansion of 1.0 in n 14.990 * [backup-simplify]: Simplify 1.0 into 1.0 14.990 * [taylor]: Taking taylor expansion of (log n) in n 14.990 * [taylor]: Taking taylor expansion of n in n 14.990 * [backup-simplify]: Simplify 0 into 0 14.990 * [backup-simplify]: Simplify 1 into 1 14.990 * [backup-simplify]: Simplify (log 1) into 0 14.991 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 14.991 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 14.991 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 14.991 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 14.991 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 14.991 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 14.991 * [taylor]: Taking taylor expansion of 1.0 in n 14.991 * [backup-simplify]: Simplify 1.0 into 1.0 14.991 * [taylor]: Taking taylor expansion of (log PI) in n 14.991 * [taylor]: Taking taylor expansion of PI in n 14.991 * [backup-simplify]: Simplify PI into PI 14.991 * [backup-simplify]: Simplify (log PI) into (log PI) 14.992 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 14.994 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 14.995 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 14.996 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 14.997 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 14.998 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 15.000 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 15.000 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) in n 15.000 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) in n 15.000 * [taylor]: Taking taylor expansion of 0.125 in n 15.000 * [backup-simplify]: Simplify 0.125 into 0.125 15.000 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2)) in n 15.000 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 15.000 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 15.000 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 15.000 * [taylor]: Taking taylor expansion of 0.5 in n 15.000 * [backup-simplify]: Simplify 0.5 into 0.5 15.000 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 15.000 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 15.000 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 15.000 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 15.000 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 15.000 * [taylor]: Taking taylor expansion of 1.0 in n 15.000 * [backup-simplify]: Simplify 1.0 into 1.0 15.000 * [taylor]: Taking taylor expansion of (log 2.0) in n 15.000 * [taylor]: Taking taylor expansion of 2.0 in n 15.000 * [backup-simplify]: Simplify 2.0 into 2.0 15.001 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 15.002 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 15.003 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 15.003 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 15.003 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 15.003 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 15.003 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 15.003 * [taylor]: Taking taylor expansion of 1.0 in n 15.003 * [backup-simplify]: Simplify 1.0 into 1.0 15.003 * [taylor]: Taking taylor expansion of (log n) in n 15.003 * [taylor]: Taking taylor expansion of n in n 15.003 * [backup-simplify]: Simplify 0 into 0 15.003 * [backup-simplify]: Simplify 1 into 1 15.004 * [backup-simplify]: Simplify (log 1) into 0 15.004 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 15.004 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 15.004 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 15.005 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 15.005 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 15.005 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 15.005 * [taylor]: Taking taylor expansion of 1.0 in n 15.005 * [backup-simplify]: Simplify 1.0 into 1.0 15.005 * [taylor]: Taking taylor expansion of (log PI) in n 15.005 * [taylor]: Taking taylor expansion of PI in n 15.005 * [backup-simplify]: Simplify PI into PI 15.005 * [backup-simplify]: Simplify (log PI) into (log PI) 15.006 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 15.008 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 15.009 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 15.010 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 15.011 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 15.012 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 15.014 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 15.014 * [taylor]: Taking taylor expansion of (pow (log PI) 2) in n 15.014 * [taylor]: Taking taylor expansion of (log PI) in n 15.014 * [taylor]: Taking taylor expansion of PI in n 15.014 * [backup-simplify]: Simplify PI into PI 15.015 * [backup-simplify]: Simplify (log PI) into (log PI) 15.015 * [taylor]: Taking taylor expansion of (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 15.015 * [taylor]: Taking taylor expansion of 0.25 in n 15.015 * [backup-simplify]: Simplify 0.25 into 0.25 15.015 * [taylor]: Taking taylor expansion of (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 15.015 * [taylor]: Taking taylor expansion of (* (log 2.0) (log PI)) in n 15.015 * [taylor]: Taking taylor expansion of (log 2.0) in n 15.015 * [taylor]: Taking taylor expansion of 2.0 in n 15.015 * [backup-simplify]: Simplify 2.0 into 2.0 15.015 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 15.015 * [taylor]: Taking taylor expansion of (log PI) in n 15.015 * [taylor]: Taking taylor expansion of PI in n 15.015 * [backup-simplify]: Simplify PI into PI 15.016 * [backup-simplify]: Simplify (log PI) into (log PI) 15.016 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 15.016 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 15.016 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 15.016 * [taylor]: Taking taylor expansion of 0.5 in n 15.016 * [backup-simplify]: Simplify 0.5 into 0.5 15.016 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 15.016 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 15.017 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 15.017 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 15.017 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 15.017 * [taylor]: Taking taylor expansion of 1.0 in n 15.017 * [backup-simplify]: Simplify 1.0 into 1.0 15.017 * [taylor]: Taking taylor expansion of (log 2.0) in n 15.017 * [taylor]: Taking taylor expansion of 2.0 in n 15.017 * [backup-simplify]: Simplify 2.0 into 2.0 15.017 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 15.019 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 15.020 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 15.020 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 15.020 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 15.020 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 15.020 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 15.020 * [taylor]: Taking taylor expansion of 1.0 in n 15.020 * [backup-simplify]: Simplify 1.0 into 1.0 15.020 * [taylor]: Taking taylor expansion of (log n) in n 15.020 * [taylor]: Taking taylor expansion of n in n 15.020 * [backup-simplify]: Simplify 0 into 0 15.020 * [backup-simplify]: Simplify 1 into 1 15.021 * [backup-simplify]: Simplify (log 1) into 0 15.021 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 15.021 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 15.021 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 15.021 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 15.021 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 15.022 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 15.022 * [taylor]: Taking taylor expansion of 1.0 in n 15.022 * [backup-simplify]: Simplify 1.0 into 1.0 15.022 * [taylor]: Taking taylor expansion of (log PI) in n 15.022 * [taylor]: Taking taylor expansion of PI in n 15.022 * [backup-simplify]: Simplify PI into PI 15.022 * [backup-simplify]: Simplify (log PI) into (log PI) 15.023 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 15.025 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 15.025 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 15.027 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 15.028 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 15.030 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 15.031 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 15.031 * [taylor]: Taking taylor expansion of (+ (* 0.25 (* (* (log (/ 1 n)) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.25 (* (* (log 2.0) (log (/ 1 n))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) in n 15.031 * [taylor]: Taking taylor expansion of (* 0.25 (* (* (log (/ 1 n)) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 15.031 * [taylor]: Taking taylor expansion of 0.25 in n 15.031 * [backup-simplify]: Simplify 0.25 into 0.25 15.031 * [taylor]: Taking taylor expansion of (* (* (log (/ 1 n)) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 15.031 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (log PI)) in n 15.031 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 15.031 * [taylor]: Taking taylor expansion of (/ 1 n) in n 15.031 * [taylor]: Taking taylor expansion of n in n 15.031 * [backup-simplify]: Simplify 0 into 0 15.031 * [backup-simplify]: Simplify 1 into 1 15.031 * [backup-simplify]: Simplify (/ 1 1) into 1 15.032 * [backup-simplify]: Simplify (log 1) into 0 15.032 * [taylor]: Taking taylor expansion of (log PI) in n 15.032 * [taylor]: Taking taylor expansion of PI in n 15.032 * [backup-simplify]: Simplify PI into PI 15.032 * [backup-simplify]: Simplify (log PI) into (log PI) 15.032 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 15.032 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 15.032 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 15.032 * [taylor]: Taking taylor expansion of 0.5 in n 15.032 * [backup-simplify]: Simplify 0.5 into 0.5 15.032 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 15.032 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 15.032 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 15.032 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 15.032 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 15.032 * [taylor]: Taking taylor expansion of 1.0 in n 15.032 * [backup-simplify]: Simplify 1.0 into 1.0 15.032 * [taylor]: Taking taylor expansion of (log 2.0) in n 15.032 * [taylor]: Taking taylor expansion of 2.0 in n 15.032 * [backup-simplify]: Simplify 2.0 into 2.0 15.032 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 15.033 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 15.040 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 15.040 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 15.040 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 15.040 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 15.040 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 15.040 * [taylor]: Taking taylor expansion of 1.0 in n 15.040 * [backup-simplify]: Simplify 1.0 into 1.0 15.040 * [taylor]: Taking taylor expansion of (log n) in n 15.040 * [taylor]: Taking taylor expansion of n in n 15.040 * [backup-simplify]: Simplify 0 into 0 15.040 * [backup-simplify]: Simplify 1 into 1 15.040 * [backup-simplify]: Simplify (log 1) into 0 15.040 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 15.040 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 15.040 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 15.040 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 15.040 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 15.040 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 15.041 * [taylor]: Taking taylor expansion of 1.0 in n 15.041 * [backup-simplify]: Simplify 1.0 into 1.0 15.041 * [taylor]: Taking taylor expansion of (log PI) in n 15.041 * [taylor]: Taking taylor expansion of PI in n 15.041 * [backup-simplify]: Simplify PI into PI 15.041 * [backup-simplify]: Simplify (log PI) into (log PI) 15.041 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 15.042 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 15.043 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 15.044 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 15.044 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 15.045 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 15.046 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 15.046 * [taylor]: Taking taylor expansion of (* 0.25 (* (* (log 2.0) (log (/ 1 n))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 15.046 * [taylor]: Taking taylor expansion of 0.25 in n 15.046 * [backup-simplify]: Simplify 0.25 into 0.25 15.046 * [taylor]: Taking taylor expansion of (* (* (log 2.0) (log (/ 1 n))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 15.046 * [taylor]: Taking taylor expansion of (* (log 2.0) (log (/ 1 n))) in n 15.046 * [taylor]: Taking taylor expansion of (log 2.0) in n 15.046 * [taylor]: Taking taylor expansion of 2.0 in n 15.046 * [backup-simplify]: Simplify 2.0 into 2.0 15.047 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 15.047 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 15.047 * [taylor]: Taking taylor expansion of (/ 1 n) in n 15.047 * [taylor]: Taking taylor expansion of n in n 15.047 * [backup-simplify]: Simplify 0 into 0 15.047 * [backup-simplify]: Simplify 1 into 1 15.047 * [backup-simplify]: Simplify (/ 1 1) into 1 15.047 * [backup-simplify]: Simplify (log 1) into 0 15.047 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 15.047 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 15.047 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 15.047 * [taylor]: Taking taylor expansion of 0.5 in n 15.047 * [backup-simplify]: Simplify 0.5 into 0.5 15.047 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 15.047 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 15.047 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 15.047 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 15.047 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 15.047 * [taylor]: Taking taylor expansion of 1.0 in n 15.047 * [backup-simplify]: Simplify 1.0 into 1.0 15.048 * [taylor]: Taking taylor expansion of (log 2.0) in n 15.048 * [taylor]: Taking taylor expansion of 2.0 in n 15.048 * [backup-simplify]: Simplify 2.0 into 2.0 15.048 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 15.048 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 15.049 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 15.049 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 15.049 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 15.049 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 15.049 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 15.049 * [taylor]: Taking taylor expansion of 1.0 in n 15.049 * [backup-simplify]: Simplify 1.0 into 1.0 15.049 * [taylor]: Taking taylor expansion of (log n) in n 15.049 * [taylor]: Taking taylor expansion of n in n 15.049 * [backup-simplify]: Simplify 0 into 0 15.049 * [backup-simplify]: Simplify 1 into 1 15.050 * [backup-simplify]: Simplify (log 1) into 0 15.050 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 15.050 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 15.050 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 15.050 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 15.050 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 15.050 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 15.050 * [taylor]: Taking taylor expansion of 1.0 in n 15.050 * [backup-simplify]: Simplify 1.0 into 1.0 15.050 * [taylor]: Taking taylor expansion of (log PI) in n 15.050 * [taylor]: Taking taylor expansion of PI in n 15.050 * [backup-simplify]: Simplify PI into PI 15.051 * [backup-simplify]: Simplify (log PI) into (log PI) 15.052 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 15.053 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 15.054 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 15.055 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 15.056 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 15.058 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 15.059 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 15.060 * [backup-simplify]: Simplify (* (log 2.0) (log 2.0)) into (pow (log 2.0) 2) 15.063 * [backup-simplify]: Simplify (* (pow (log 2.0) 2) (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 15.065 * [backup-simplify]: Simplify (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 15.066 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 15.066 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 15.066 * [backup-simplify]: Simplify (* (- (log n)) (- (log n))) into (pow (log n) 2) 15.068 * [backup-simplify]: Simplify (* (pow (log n) 2) (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2)) 15.069 * [backup-simplify]: Simplify (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) into (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 15.071 * [backup-simplify]: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 15.073 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (pow (log PI) 2)) into (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2)) 15.078 * [backup-simplify]: Simplify (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) into (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log PI) 2))) 15.079 * [backup-simplify]: Simplify (* (log 2.0) (log PI)) into (* (log 2.0) (log PI)) 15.082 * [backup-simplify]: Simplify (* (* (log 2.0) (log PI)) (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 15.085 * [backup-simplify]: Simplify (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 15.088 * [backup-simplify]: Simplify (+ (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log PI) 2))) (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) into (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) 15.093 * [backup-simplify]: Simplify (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) into (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log PI) 2))))) 15.099 * [backup-simplify]: Simplify (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log PI) 2)))))) into (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))) 15.099 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 15.099 * [backup-simplify]: Simplify (* (- (log n)) (log PI)) into (* -1 (* (log n) (log PI))) 15.101 * [backup-simplify]: Simplify (* (* -1 (* (log n) (log PI))) (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* -1 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* (log n) (log PI)))) 15.102 * [backup-simplify]: Simplify (* 0.25 (* -1 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* (log n) (log PI))))) into (* -0.25 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* (log n) (log PI)))) 15.102 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 15.102 * [backup-simplify]: Simplify (* (log 2.0) (- (log n))) into (* -1 (* (log 2.0) (log n))) 15.104 * [backup-simplify]: Simplify (* (* -1 (* (log 2.0) (log n))) (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* -1 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) 15.105 * [backup-simplify]: Simplify (* 0.25 (* -1 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)))) into (* -0.25 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) 15.107 * [backup-simplify]: Simplify (+ (* -0.25 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* (log n) (log PI)))) (* -0.25 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)))) into (- (+ (* 0.25 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (* 0.25 (* (* (log n) (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) 15.109 * [backup-simplify]: Simplify (- (- (+ (* 0.25 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (* 0.25 (* (* (log n) (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))) into (+ (* 0.25 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (* 0.25 (* (* (log n) (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) 15.121 * [backup-simplify]: Simplify (+ (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))) (+ (* 0.25 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (* 0.25 (* (* (log n) (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) into (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (log n) (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log PI) 2)))))))) 15.132 * [backup-simplify]: Simplify (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (log n) (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log PI) 2)))))))) into (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (+ (* 0.25 (* (* (log n) (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.25 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)))))))) 15.146 * [backup-simplify]: Simplify (+ (* (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (+ (* 0.25 (* (* (log n) (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.25 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)))))))) (pow (* 1 k) 2)) (+ (* (- (+ (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log PI))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))) (* 1 k)) (pow (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5))) into (- (+ (* 0.25 (* (* (log 2.0) (* (pow k 2) (log n))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (+ (* 0.125 (* (* (pow k 2) (pow (log PI) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (pow (pow (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5) (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (+ (* 0.25 (* (* (pow k 2) (* (log n) (log PI))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (+ (* 0.125 (* (* (pow (log 2.0) 2) (pow k 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.25 (* (* (log 2.0) (* (pow k 2) (log PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))) (+ (* 0.5 (* (* k (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.5 (* (* k (log 2.0)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)))))) 15.147 * [backup-simplify]: Simplify (* (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) (pow (/ 1 (/ 1 n)) (* -0.5 (- 1.0 (/ 1 k))))) into (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (* (pow PI (* 0.5 (- 1.0 (/ 1 k)))) (pow n (* -0.5 (- 1.0 (/ 1 k)))))) 15.147 * [approximate]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (* (pow PI (* 0.5 (- 1.0 (/ 1 k)))) (pow n (* -0.5 (- 1.0 (/ 1 k)))))) in (k n) around 0 15.147 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (* (pow PI (* 0.5 (- 1.0 (/ 1 k)))) (pow n (* -0.5 (- 1.0 (/ 1 k)))))) in n 15.147 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in n 15.147 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in n 15.147 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in n 15.147 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 15.147 * [taylor]: Taking taylor expansion of 0.5 in n 15.147 * [backup-simplify]: Simplify 0.5 into 0.5 15.147 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 15.147 * [taylor]: Taking taylor expansion of 1.0 in n 15.147 * [backup-simplify]: Simplify 1.0 into 1.0 15.147 * [taylor]: Taking taylor expansion of (/ 1 k) in n 15.147 * [taylor]: Taking taylor expansion of k in n 15.147 * [backup-simplify]: Simplify k into k 15.147 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 15.147 * [taylor]: Taking taylor expansion of (log 2.0) in n 15.147 * [taylor]: Taking taylor expansion of 2.0 in n 15.147 * [backup-simplify]: Simplify 2.0 into 2.0 15.153 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 15.154 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 15.154 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 15.154 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 15.154 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) into (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))) 15.155 * [backup-simplify]: Simplify (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 15.155 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 (/ 1 k)))) (pow n (* -0.5 (- 1.0 (/ 1 k))))) in n 15.155 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in n 15.155 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in n 15.155 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in n 15.155 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 15.155 * [taylor]: Taking taylor expansion of 0.5 in n 15.155 * [backup-simplify]: Simplify 0.5 into 0.5 15.155 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 15.155 * [taylor]: Taking taylor expansion of 1.0 in n 15.155 * [backup-simplify]: Simplify 1.0 into 1.0 15.155 * [taylor]: Taking taylor expansion of (/ 1 k) in n 15.155 * [taylor]: Taking taylor expansion of k in n 15.155 * [backup-simplify]: Simplify k into k 15.155 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 15.155 * [taylor]: Taking taylor expansion of (log PI) in n 15.155 * [taylor]: Taking taylor expansion of PI in n 15.155 * [backup-simplify]: Simplify PI into PI 15.156 * [backup-simplify]: Simplify (log PI) into (log PI) 15.156 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 15.156 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 15.156 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 15.157 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) into (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))) 15.157 * [backup-simplify]: Simplify (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 15.157 * [taylor]: Taking taylor expansion of (pow n (* -0.5 (- 1.0 (/ 1 k)))) in n 15.157 * [taylor]: Taking taylor expansion of (exp (* (* -0.5 (- 1.0 (/ 1 k))) (log n))) in n 15.157 * [taylor]: Taking taylor expansion of (* (* -0.5 (- 1.0 (/ 1 k))) (log n)) in n 15.157 * [taylor]: Taking taylor expansion of (* -0.5 (- 1.0 (/ 1 k))) in n 15.157 * [taylor]: Taking taylor expansion of -0.5 in n 15.157 * [backup-simplify]: Simplify -0.5 into -0.5 15.157 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 15.157 * [taylor]: Taking taylor expansion of 1.0 in n 15.157 * [backup-simplify]: Simplify 1.0 into 1.0 15.158 * [taylor]: Taking taylor expansion of (/ 1 k) in n 15.158 * [taylor]: Taking taylor expansion of k in n 15.158 * [backup-simplify]: Simplify k into k 15.158 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 15.158 * [taylor]: Taking taylor expansion of (log n) in n 15.158 * [taylor]: Taking taylor expansion of n in n 15.158 * [backup-simplify]: Simplify 0 into 0 15.158 * [backup-simplify]: Simplify 1 into 1 15.158 * [backup-simplify]: Simplify (log 1) into 0 15.158 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 15.158 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 15.158 * [backup-simplify]: Simplify (* -0.5 (- 1.0 (/ 1 k))) into (* -0.5 (- 1.0 (/ 1 k))) 15.159 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 15.159 * [backup-simplify]: Simplify (* (* -0.5 (- 1.0 (/ 1 k))) (log n)) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 15.159 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 15.159 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (* (pow PI (* 0.5 (- 1.0 (/ 1 k)))) (pow n (* -0.5 (- 1.0 (/ 1 k)))))) in k 15.159 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in k 15.159 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in k 15.159 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in k 15.160 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 15.160 * [taylor]: Taking taylor expansion of 0.5 in k 15.160 * [backup-simplify]: Simplify 0.5 into 0.5 15.160 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 15.160 * [taylor]: Taking taylor expansion of 1.0 in k 15.160 * [backup-simplify]: Simplify 1.0 into 1.0 15.160 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.160 * [taylor]: Taking taylor expansion of k in k 15.160 * [backup-simplify]: Simplify 0 into 0 15.160 * [backup-simplify]: Simplify 1 into 1 15.160 * [backup-simplify]: Simplify (/ 1 1) into 1 15.160 * [taylor]: Taking taylor expansion of (log 2.0) in k 15.160 * [taylor]: Taking taylor expansion of 2.0 in k 15.160 * [backup-simplify]: Simplify 2.0 into 2.0 15.161 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 15.161 * [backup-simplify]: Simplify (- 1) into -1 15.161 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.162 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 15.163 * [backup-simplify]: Simplify (* -0.5 (log 2.0)) into (* -0.5 (log 2.0)) 15.163 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) into (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 15.163 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 (/ 1 k)))) (pow n (* -0.5 (- 1.0 (/ 1 k))))) in k 15.163 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 15.163 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 15.163 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 15.163 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 15.163 * [taylor]: Taking taylor expansion of 0.5 in k 15.163 * [backup-simplify]: Simplify 0.5 into 0.5 15.163 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 15.164 * [taylor]: Taking taylor expansion of 1.0 in k 15.164 * [backup-simplify]: Simplify 1.0 into 1.0 15.164 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.164 * [taylor]: Taking taylor expansion of k in k 15.164 * [backup-simplify]: Simplify 0 into 0 15.164 * [backup-simplify]: Simplify 1 into 1 15.164 * [backup-simplify]: Simplify (/ 1 1) into 1 15.164 * [taylor]: Taking taylor expansion of (log PI) in k 15.164 * [taylor]: Taking taylor expansion of PI in k 15.164 * [backup-simplify]: Simplify PI into PI 15.165 * [backup-simplify]: Simplify (log PI) into (log PI) 15.165 * [backup-simplify]: Simplify (- 1) into -1 15.165 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.166 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 15.167 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 15.167 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 15.167 * [taylor]: Taking taylor expansion of (pow n (* -0.5 (- 1.0 (/ 1 k)))) in k 15.167 * [taylor]: Taking taylor expansion of (exp (* (* -0.5 (- 1.0 (/ 1 k))) (log n))) in k 15.167 * [taylor]: Taking taylor expansion of (* (* -0.5 (- 1.0 (/ 1 k))) (log n)) in k 15.167 * [taylor]: Taking taylor expansion of (* -0.5 (- 1.0 (/ 1 k))) in k 15.168 * [taylor]: Taking taylor expansion of -0.5 in k 15.168 * [backup-simplify]: Simplify -0.5 into -0.5 15.168 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 15.168 * [taylor]: Taking taylor expansion of 1.0 in k 15.168 * [backup-simplify]: Simplify 1.0 into 1.0 15.168 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.168 * [taylor]: Taking taylor expansion of k in k 15.168 * [backup-simplify]: Simplify 0 into 0 15.168 * [backup-simplify]: Simplify 1 into 1 15.168 * [backup-simplify]: Simplify (/ 1 1) into 1 15.168 * [taylor]: Taking taylor expansion of (log n) in k 15.168 * [taylor]: Taking taylor expansion of n in k 15.168 * [backup-simplify]: Simplify n into n 15.168 * [backup-simplify]: Simplify (log n) into (log n) 15.169 * [backup-simplify]: Simplify (- 1) into -1 15.169 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.169 * [backup-simplify]: Simplify (* -0.5 -1) into 0.5 15.170 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 15.170 * [backup-simplify]: Simplify (exp (* (* -0.5 (- 1.0 (/ 1 k))) (log n))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 15.170 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (* (pow PI (* 0.5 (- 1.0 (/ 1 k)))) (pow n (* -0.5 (- 1.0 (/ 1 k)))))) in k 15.170 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in k 15.170 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in k 15.170 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in k 15.170 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 15.170 * [taylor]: Taking taylor expansion of 0.5 in k 15.170 * [backup-simplify]: Simplify 0.5 into 0.5 15.170 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 15.170 * [taylor]: Taking taylor expansion of 1.0 in k 15.170 * [backup-simplify]: Simplify 1.0 into 1.0 15.170 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.170 * [taylor]: Taking taylor expansion of k in k 15.170 * [backup-simplify]: Simplify 0 into 0 15.170 * [backup-simplify]: Simplify 1 into 1 15.171 * [backup-simplify]: Simplify (/ 1 1) into 1 15.171 * [taylor]: Taking taylor expansion of (log 2.0) in k 15.171 * [taylor]: Taking taylor expansion of 2.0 in k 15.171 * [backup-simplify]: Simplify 2.0 into 2.0 15.171 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 15.171 * [backup-simplify]: Simplify (- 1) into -1 15.172 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.172 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 15.173 * [backup-simplify]: Simplify (* -0.5 (log 2.0)) into (* -0.5 (log 2.0)) 15.174 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) into (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 15.174 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 (/ 1 k)))) (pow n (* -0.5 (- 1.0 (/ 1 k))))) in k 15.174 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 15.174 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 15.174 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 15.174 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 15.174 * [taylor]: Taking taylor expansion of 0.5 in k 15.174 * [backup-simplify]: Simplify 0.5 into 0.5 15.174 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 15.174 * [taylor]: Taking taylor expansion of 1.0 in k 15.174 * [backup-simplify]: Simplify 1.0 into 1.0 15.174 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.174 * [taylor]: Taking taylor expansion of k in k 15.174 * [backup-simplify]: Simplify 0 into 0 15.174 * [backup-simplify]: Simplify 1 into 1 15.174 * [backup-simplify]: Simplify (/ 1 1) into 1 15.174 * [taylor]: Taking taylor expansion of (log PI) in k 15.174 * [taylor]: Taking taylor expansion of PI in k 15.174 * [backup-simplify]: Simplify PI into PI 15.175 * [backup-simplify]: Simplify (log PI) into (log PI) 15.175 * [backup-simplify]: Simplify (- 1) into -1 15.175 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.175 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 15.176 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 15.176 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 15.176 * [taylor]: Taking taylor expansion of (pow n (* -0.5 (- 1.0 (/ 1 k)))) in k 15.176 * [taylor]: Taking taylor expansion of (exp (* (* -0.5 (- 1.0 (/ 1 k))) (log n))) in k 15.176 * [taylor]: Taking taylor expansion of (* (* -0.5 (- 1.0 (/ 1 k))) (log n)) in k 15.177 * [taylor]: Taking taylor expansion of (* -0.5 (- 1.0 (/ 1 k))) in k 15.177 * [taylor]: Taking taylor expansion of -0.5 in k 15.177 * [backup-simplify]: Simplify -0.5 into -0.5 15.177 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 15.177 * [taylor]: Taking taylor expansion of 1.0 in k 15.177 * [backup-simplify]: Simplify 1.0 into 1.0 15.177 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.177 * [taylor]: Taking taylor expansion of k in k 15.177 * [backup-simplify]: Simplify 0 into 0 15.177 * [backup-simplify]: Simplify 1 into 1 15.177 * [backup-simplify]: Simplify (/ 1 1) into 1 15.177 * [taylor]: Taking taylor expansion of (log n) in k 15.177 * [taylor]: Taking taylor expansion of n in k 15.177 * [backup-simplify]: Simplify n into n 15.177 * [backup-simplify]: Simplify (log n) into (log n) 15.177 * [backup-simplify]: Simplify (- 1) into -1 15.178 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.178 * [backup-simplify]: Simplify (* -0.5 -1) into 0.5 15.178 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 15.178 * [backup-simplify]: Simplify (exp (* (* -0.5 (- 1.0 (/ 1 k))) (log n))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 15.179 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k)))))) into (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k)))))) 15.179 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))))) into (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))) 15.180 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))) in n 15.180 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) in n 15.180 * [taylor]: Taking taylor expansion of (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))) in n 15.180 * [taylor]: Taking taylor expansion of 0.5 in n 15.180 * [backup-simplify]: Simplify 0.5 into 0.5 15.180 * [taylor]: Taking taylor expansion of (* (log PI) (- 1.0 (/ 1 k))) in n 15.180 * [taylor]: Taking taylor expansion of (log PI) in n 15.180 * [taylor]: Taking taylor expansion of PI in n 15.180 * [backup-simplify]: Simplify PI into PI 15.180 * [backup-simplify]: Simplify (log PI) into (log PI) 15.180 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 15.180 * [taylor]: Taking taylor expansion of 1.0 in n 15.180 * [backup-simplify]: Simplify 1.0 into 1.0 15.180 * [taylor]: Taking taylor expansion of (/ 1 k) in n 15.180 * [taylor]: Taking taylor expansion of k in n 15.180 * [backup-simplify]: Simplify k into k 15.180 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 15.180 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 15.180 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 15.181 * [backup-simplify]: Simplify (* (log PI) (- 1.0 (/ 1 k))) into (* (- 1.0 (/ 1 k)) (log PI)) 15.181 * [backup-simplify]: Simplify (* 0.5 (* (- 1.0 (/ 1 k)) (log PI))) into (* 0.5 (* (- 1.0 (/ 1 k)) (log PI))) 15.181 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) 15.181 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))) in n 15.181 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) in n 15.181 * [taylor]: Taking taylor expansion of (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) in n 15.181 * [taylor]: Taking taylor expansion of -0.5 in n 15.181 * [backup-simplify]: Simplify -0.5 into -0.5 15.181 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in n 15.181 * [taylor]: Taking taylor expansion of (log n) in n 15.181 * [taylor]: Taking taylor expansion of n in n 15.181 * [backup-simplify]: Simplify 0 into 0 15.181 * [backup-simplify]: Simplify 1 into 1 15.182 * [backup-simplify]: Simplify (log 1) into 0 15.182 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 15.182 * [taylor]: Taking taylor expansion of 1.0 in n 15.182 * [backup-simplify]: Simplify 1.0 into 1.0 15.182 * [taylor]: Taking taylor expansion of (/ 1 k) in n 15.182 * [taylor]: Taking taylor expansion of k in n 15.182 * [backup-simplify]: Simplify k into k 15.182 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 15.182 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 15.182 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 15.182 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 15.182 * [backup-simplify]: Simplify (* (log n) (- 1.0 (/ 1 k))) into (* (log n) (- 1.0 (/ 1 k))) 15.182 * [backup-simplify]: Simplify (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 15.182 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 15.183 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) in n 15.183 * [taylor]: Taking taylor expansion of (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))) in n 15.183 * [taylor]: Taking taylor expansion of 0.5 in n 15.183 * [backup-simplify]: Simplify 0.5 into 0.5 15.183 * [taylor]: Taking taylor expansion of (* (log 2.0) (- 1.0 (/ 1 k))) in n 15.183 * [taylor]: Taking taylor expansion of (log 2.0) in n 15.183 * [taylor]: Taking taylor expansion of 2.0 in n 15.183 * [backup-simplify]: Simplify 2.0 into 2.0 15.183 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 15.183 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 15.183 * [taylor]: Taking taylor expansion of 1.0 in n 15.183 * [backup-simplify]: Simplify 1.0 into 1.0 15.183 * [taylor]: Taking taylor expansion of (/ 1 k) in n 15.183 * [taylor]: Taking taylor expansion of k in n 15.183 * [backup-simplify]: Simplify k into k 15.183 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 15.183 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 15.183 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 15.183 * [backup-simplify]: Simplify (* (log 2.0) (- 1.0 (/ 1 k))) into (* (log 2.0) (- 1.0 (/ 1 k))) 15.184 * [backup-simplify]: Simplify (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))) into (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))) 15.184 * [backup-simplify]: Simplify (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 15.185 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))) into (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))) 15.185 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))) into (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))) 15.186 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))) into (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))) 15.187 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 0) (* 0 (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))))) into 0 15.187 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 0) (* 0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k)))))))) into 0 15.187 * [taylor]: Taking taylor expansion of 0 in n 15.188 * [backup-simplify]: Simplify 0 into 0 15.188 * [backup-simplify]: Simplify 0 into 0 15.188 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 15.188 * [backup-simplify]: Simplify (- 0) into 0 15.188 * [backup-simplify]: Simplify (+ 0 0) into 0 15.189 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 15.189 * [backup-simplify]: Simplify (+ (* (log 2.0) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 15.190 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (log 2.0) (- 1.0 (/ 1 k))))) into 0 15.191 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 15.191 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 15.191 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 15.191 * [backup-simplify]: Simplify (- 0) into 0 15.192 * [backup-simplify]: Simplify (+ 0 0) into 0 15.192 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 15.192 * [backup-simplify]: Simplify (+ (* (log n) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 15.193 * [backup-simplify]: Simplify (+ (* -0.5 0) (* 0 (* (log n) (- 1.0 (/ 1 k))))) into 0 15.193 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 15.194 * [backup-simplify]: Simplify (+ (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 0) (* 0 (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))) into 0 15.194 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 15.194 * [backup-simplify]: Simplify (- 0) into 0 15.195 * [backup-simplify]: Simplify (+ 0 0) into 0 15.195 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 15.196 * [backup-simplify]: Simplify (+ (* (log PI) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 15.196 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- 1.0 (/ 1 k)) (log PI)))) into 0 15.197 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) (+ (* (/ (pow 0 1) 1)))) into 0 15.198 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) 0) (* 0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) into 0 15.198 * [backup-simplify]: Simplify 0 into 0 15.199 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k)))))))) into 0 15.200 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))))))) into 0 15.200 * [taylor]: Taking taylor expansion of 0 in n 15.200 * [backup-simplify]: Simplify 0 into 0 15.200 * [backup-simplify]: Simplify 0 into 0 15.200 * [backup-simplify]: Simplify 0 into 0 15.200 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 15.200 * [backup-simplify]: Simplify (- 0) into 0 15.201 * [backup-simplify]: Simplify (+ 0 0) into 0 15.202 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2.0 1)))) 2) into 0 15.203 * [backup-simplify]: Simplify (+ (* (log 2.0) 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 15.204 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (log 2.0) (- 1.0 (/ 1 k)))))) into 0 15.205 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.205 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 15.205 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 15.205 * [backup-simplify]: Simplify (- 0) into 0 15.205 * [backup-simplify]: Simplify (+ 0 0) into 0 15.207 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 15.207 * [backup-simplify]: Simplify (+ (* (log n) 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 15.208 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (* 0 (* (log n) (- 1.0 (/ 1 k)))))) into 0 15.209 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.209 * [backup-simplify]: Simplify (+ (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) into 0 15.210 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 15.210 * [backup-simplify]: Simplify (- 0) into 0 15.210 * [backup-simplify]: Simplify (+ 0 0) into 0 15.213 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 15.214 * [backup-simplify]: Simplify (+ (* (log PI) 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 15.215 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (- 1.0 (/ 1 k)) (log PI))))) into 0 15.217 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.219 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) 0) (+ (* 0 0) (* 0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) into 0 15.219 * [backup-simplify]: Simplify 0 into 0 15.221 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))))))) into 0 15.223 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k)))))))))) into 0 15.223 * [taylor]: Taking taylor expansion of 0 in n 15.223 * [backup-simplify]: Simplify 0 into 0 15.223 * [backup-simplify]: Simplify 0 into 0 15.224 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (log PI)))) (* (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 (/ 1 k)))))))) into (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (* (exp (* 0.5 (* (- 1.0 k) (log PI)))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))))) 15.225 * [backup-simplify]: Simplify (* (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 (- k))))) (pow PI (* 0.5 (- 1.0 (/ 1 (- k)))))) (pow (/ 1 (/ 1 (- n))) (* -0.5 (- 1.0 (/ 1 (- k)))))) into (* (pow (* -1 n) (* -0.5 (+ (/ 1 k) 1.0))) (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0))))) 15.225 * [approximate]: Taking taylor expansion of (* (pow (* -1 n) (* -0.5 (+ (/ 1 k) 1.0))) (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0))))) in (k n) around 0 15.225 * [taylor]: Taking taylor expansion of (* (pow (* -1 n) (* -0.5 (+ (/ 1 k) 1.0))) (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0))))) in n 15.225 * [taylor]: Taking taylor expansion of (pow (* -1 n) (* -0.5 (+ (/ 1 k) 1.0))) in n 15.225 * [taylor]: Taking taylor expansion of (exp (* (* -0.5 (+ (/ 1 k) 1.0)) (log (* -1 n)))) in n 15.225 * [taylor]: Taking taylor expansion of (* (* -0.5 (+ (/ 1 k) 1.0)) (log (* -1 n))) in n 15.225 * [taylor]: Taking taylor expansion of (* -0.5 (+ (/ 1 k) 1.0)) in n 15.225 * [taylor]: Taking taylor expansion of -0.5 in n 15.225 * [backup-simplify]: Simplify -0.5 into -0.5 15.225 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 15.225 * [taylor]: Taking taylor expansion of (/ 1 k) in n 15.225 * [taylor]: Taking taylor expansion of k in n 15.226 * [backup-simplify]: Simplify k into k 15.226 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 15.226 * [taylor]: Taking taylor expansion of 1.0 in n 15.226 * [backup-simplify]: Simplify 1.0 into 1.0 15.226 * [taylor]: Taking taylor expansion of (log (* -1 n)) in n 15.226 * [taylor]: Taking taylor expansion of (* -1 n) in n 15.226 * [taylor]: Taking taylor expansion of -1 in n 15.226 * [backup-simplify]: Simplify -1 into -1 15.226 * [taylor]: Taking taylor expansion of n in n 15.226 * [backup-simplify]: Simplify 0 into 0 15.226 * [backup-simplify]: Simplify 1 into 1 15.226 * [backup-simplify]: Simplify (* -1 0) into 0 15.227 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 15.228 * [backup-simplify]: Simplify (log -1) into (log -1) 15.228 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 15.228 * [backup-simplify]: Simplify (* -0.5 (+ (/ 1 k) 1.0)) into (* -0.5 (+ (/ 1 k) 1.0)) 15.229 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log -1)) into (+ (log -1) (log n)) 15.230 * [backup-simplify]: Simplify (* (* -0.5 (+ (/ 1 k) 1.0)) (+ (log -1) (log n))) into (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0))) 15.230 * [backup-simplify]: Simplify (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0)))) 15.230 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in n 15.230 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in n 15.230 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in n 15.230 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in n 15.230 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 15.230 * [taylor]: Taking taylor expansion of 0.5 in n 15.231 * [backup-simplify]: Simplify 0.5 into 0.5 15.231 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 15.231 * [taylor]: Taking taylor expansion of (/ 1 k) in n 15.231 * [taylor]: Taking taylor expansion of k in n 15.231 * [backup-simplify]: Simplify k into k 15.231 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 15.231 * [taylor]: Taking taylor expansion of 1.0 in n 15.231 * [backup-simplify]: Simplify 1.0 into 1.0 15.231 * [taylor]: Taking taylor expansion of (log 2.0) in n 15.231 * [taylor]: Taking taylor expansion of 2.0 in n 15.231 * [backup-simplify]: Simplify 2.0 into 2.0 15.231 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 15.231 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 15.232 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 15.232 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) into (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))) 15.233 * [backup-simplify]: Simplify (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 15.233 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in n 15.233 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in n 15.233 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in n 15.233 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 15.233 * [taylor]: Taking taylor expansion of 0.5 in n 15.233 * [backup-simplify]: Simplify 0.5 into 0.5 15.233 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 15.233 * [taylor]: Taking taylor expansion of (/ 1 k) in n 15.233 * [taylor]: Taking taylor expansion of k in n 15.233 * [backup-simplify]: Simplify k into k 15.233 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 15.233 * [taylor]: Taking taylor expansion of 1.0 in n 15.233 * [backup-simplify]: Simplify 1.0 into 1.0 15.233 * [taylor]: Taking taylor expansion of (log PI) in n 15.233 * [taylor]: Taking taylor expansion of PI in n 15.233 * [backup-simplify]: Simplify PI into PI 15.234 * [backup-simplify]: Simplify (log PI) into (log PI) 15.234 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 15.234 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 15.234 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) into (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))) 15.235 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 15.235 * [taylor]: Taking taylor expansion of (* (pow (* -1 n) (* -0.5 (+ (/ 1 k) 1.0))) (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0))))) in k 15.235 * [taylor]: Taking taylor expansion of (pow (* -1 n) (* -0.5 (+ (/ 1 k) 1.0))) in k 15.235 * [taylor]: Taking taylor expansion of (exp (* (* -0.5 (+ (/ 1 k) 1.0)) (log (* -1 n)))) in k 15.235 * [taylor]: Taking taylor expansion of (* (* -0.5 (+ (/ 1 k) 1.0)) (log (* -1 n))) in k 15.235 * [taylor]: Taking taylor expansion of (* -0.5 (+ (/ 1 k) 1.0)) in k 15.235 * [taylor]: Taking taylor expansion of -0.5 in k 15.235 * [backup-simplify]: Simplify -0.5 into -0.5 15.235 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 15.235 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.235 * [taylor]: Taking taylor expansion of k in k 15.235 * [backup-simplify]: Simplify 0 into 0 15.235 * [backup-simplify]: Simplify 1 into 1 15.235 * [backup-simplify]: Simplify (/ 1 1) into 1 15.235 * [taylor]: Taking taylor expansion of 1.0 in k 15.235 * [backup-simplify]: Simplify 1.0 into 1.0 15.235 * [taylor]: Taking taylor expansion of (log (* -1 n)) in k 15.235 * [taylor]: Taking taylor expansion of (* -1 n) in k 15.235 * [taylor]: Taking taylor expansion of -1 in k 15.235 * [backup-simplify]: Simplify -1 into -1 15.235 * [taylor]: Taking taylor expansion of n in k 15.235 * [backup-simplify]: Simplify n into n 15.235 * [backup-simplify]: Simplify (* -1 n) into (* -1 n) 15.236 * [backup-simplify]: Simplify (log (* -1 n)) into (log (* -1 n)) 15.236 * [backup-simplify]: Simplify (+ 1 0) into 1 15.236 * [backup-simplify]: Simplify (* -0.5 1) into -0.5 15.236 * [backup-simplify]: Simplify (* -0.5 (log (* -1 n))) into (* -0.5 (log (* -1 n))) 15.236 * [backup-simplify]: Simplify (exp (* (* -0.5 (+ (/ 1 k) 1.0)) (log (* -1 n)))) into (exp (* -0.5 (* (+ (/ 1 k) 1.0) (log (* -1 n))))) 15.236 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in k 15.236 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in k 15.236 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in k 15.236 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in k 15.236 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 15.236 * [taylor]: Taking taylor expansion of 0.5 in k 15.236 * [backup-simplify]: Simplify 0.5 into 0.5 15.236 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 15.236 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.237 * [taylor]: Taking taylor expansion of k in k 15.237 * [backup-simplify]: Simplify 0 into 0 15.237 * [backup-simplify]: Simplify 1 into 1 15.237 * [backup-simplify]: Simplify (/ 1 1) into 1 15.237 * [taylor]: Taking taylor expansion of 1.0 in k 15.237 * [backup-simplify]: Simplify 1.0 into 1.0 15.237 * [taylor]: Taking taylor expansion of (log 2.0) in k 15.237 * [taylor]: Taking taylor expansion of 2.0 in k 15.237 * [backup-simplify]: Simplify 2.0 into 2.0 15.237 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 15.237 * [backup-simplify]: Simplify (+ 1 0) into 1 15.238 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 15.238 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 15.239 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) into (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 15.239 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 15.239 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 15.239 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 15.239 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 15.239 * [taylor]: Taking taylor expansion of 0.5 in k 15.239 * [backup-simplify]: Simplify 0.5 into 0.5 15.239 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 15.239 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.239 * [taylor]: Taking taylor expansion of k in k 15.239 * [backup-simplify]: Simplify 0 into 0 15.239 * [backup-simplify]: Simplify 1 into 1 15.239 * [backup-simplify]: Simplify (/ 1 1) into 1 15.239 * [taylor]: Taking taylor expansion of 1.0 in k 15.239 * [backup-simplify]: Simplify 1.0 into 1.0 15.239 * [taylor]: Taking taylor expansion of (log PI) in k 15.239 * [taylor]: Taking taylor expansion of PI in k 15.239 * [backup-simplify]: Simplify PI into PI 15.239 * [backup-simplify]: Simplify (log PI) into (log PI) 15.240 * [backup-simplify]: Simplify (+ 1 0) into 1 15.240 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 15.241 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 15.241 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 15.241 * [taylor]: Taking taylor expansion of (* (pow (* -1 n) (* -0.5 (+ (/ 1 k) 1.0))) (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0))))) in k 15.241 * [taylor]: Taking taylor expansion of (pow (* -1 n) (* -0.5 (+ (/ 1 k) 1.0))) in k 15.241 * [taylor]: Taking taylor expansion of (exp (* (* -0.5 (+ (/ 1 k) 1.0)) (log (* -1 n)))) in k 15.241 * [taylor]: Taking taylor expansion of (* (* -0.5 (+ (/ 1 k) 1.0)) (log (* -1 n))) in k 15.241 * [taylor]: Taking taylor expansion of (* -0.5 (+ (/ 1 k) 1.0)) in k 15.241 * [taylor]: Taking taylor expansion of -0.5 in k 15.241 * [backup-simplify]: Simplify -0.5 into -0.5 15.241 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 15.241 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.241 * [taylor]: Taking taylor expansion of k in k 15.241 * [backup-simplify]: Simplify 0 into 0 15.241 * [backup-simplify]: Simplify 1 into 1 15.241 * [backup-simplify]: Simplify (/ 1 1) into 1 15.241 * [taylor]: Taking taylor expansion of 1.0 in k 15.241 * [backup-simplify]: Simplify 1.0 into 1.0 15.241 * [taylor]: Taking taylor expansion of (log (* -1 n)) in k 15.242 * [taylor]: Taking taylor expansion of (* -1 n) in k 15.242 * [taylor]: Taking taylor expansion of -1 in k 15.242 * [backup-simplify]: Simplify -1 into -1 15.242 * [taylor]: Taking taylor expansion of n in k 15.242 * [backup-simplify]: Simplify n into n 15.242 * [backup-simplify]: Simplify (* -1 n) into (* -1 n) 15.242 * [backup-simplify]: Simplify (log (* -1 n)) into (log (* -1 n)) 15.242 * [backup-simplify]: Simplify (+ 1 0) into 1 15.242 * [backup-simplify]: Simplify (* -0.5 1) into -0.5 15.242 * [backup-simplify]: Simplify (* -0.5 (log (* -1 n))) into (* -0.5 (log (* -1 n))) 15.242 * [backup-simplify]: Simplify (exp (* (* -0.5 (+ (/ 1 k) 1.0)) (log (* -1 n)))) into (exp (* -0.5 (* (+ (/ 1 k) 1.0) (log (* -1 n))))) 15.242 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in k 15.242 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in k 15.242 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in k 15.242 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in k 15.242 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 15.242 * [taylor]: Taking taylor expansion of 0.5 in k 15.243 * [backup-simplify]: Simplify 0.5 into 0.5 15.243 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 15.243 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.243 * [taylor]: Taking taylor expansion of k in k 15.243 * [backup-simplify]: Simplify 0 into 0 15.243 * [backup-simplify]: Simplify 1 into 1 15.243 * [backup-simplify]: Simplify (/ 1 1) into 1 15.243 * [taylor]: Taking taylor expansion of 1.0 in k 15.243 * [backup-simplify]: Simplify 1.0 into 1.0 15.243 * [taylor]: Taking taylor expansion of (log 2.0) in k 15.243 * [taylor]: Taking taylor expansion of 2.0 in k 15.243 * [backup-simplify]: Simplify 2.0 into 2.0 15.243 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 15.243 * [backup-simplify]: Simplify (+ 1 0) into 1 15.244 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 15.244 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 15.245 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) into (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 15.245 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 15.245 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 15.245 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 15.245 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 15.245 * [taylor]: Taking taylor expansion of 0.5 in k 15.245 * [backup-simplify]: Simplify 0.5 into 0.5 15.245 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 15.245 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.245 * [taylor]: Taking taylor expansion of k in k 15.245 * [backup-simplify]: Simplify 0 into 0 15.245 * [backup-simplify]: Simplify 1 into 1 15.245 * [backup-simplify]: Simplify (/ 1 1) into 1 15.245 * [taylor]: Taking taylor expansion of 1.0 in k 15.245 * [backup-simplify]: Simplify 1.0 into 1.0 15.245 * [taylor]: Taking taylor expansion of (log PI) in k 15.245 * [taylor]: Taking taylor expansion of PI in k 15.245 * [backup-simplify]: Simplify PI into PI 15.245 * [backup-simplify]: Simplify (log PI) into (log PI) 15.246 * [backup-simplify]: Simplify (+ 1 0) into 1 15.246 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 15.247 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 15.247 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 15.248 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))))) into (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) 15.248 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (+ (/ 1 k) 1.0) (log (* -1 n))))) (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) into (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (* (exp (* -0.5 (* (+ (/ 1 k) 1.0) (log (* -1 n))))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) 15.249 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (* (exp (* -0.5 (* (+ (/ 1 k) 1.0) (log (* -1 n))))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) in n 15.249 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) in n 15.249 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))) in n 15.249 * [taylor]: Taking taylor expansion of 0.5 in n 15.249 * [backup-simplify]: Simplify 0.5 into 0.5 15.249 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log PI)) in n 15.249 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 15.249 * [taylor]: Taking taylor expansion of (/ 1 k) in n 15.249 * [taylor]: Taking taylor expansion of k in n 15.249 * [backup-simplify]: Simplify k into k 15.249 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 15.249 * [taylor]: Taking taylor expansion of 1.0 in n 15.249 * [backup-simplify]: Simplify 1.0 into 1.0 15.249 * [taylor]: Taking taylor expansion of (log PI) in n 15.249 * [taylor]: Taking taylor expansion of PI in n 15.249 * [backup-simplify]: Simplify PI into PI 15.249 * [backup-simplify]: Simplify (log PI) into (log PI) 15.249 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 15.249 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (log PI)) into (* (+ (/ 1 k) 1.0) (log PI)) 15.250 * [backup-simplify]: Simplify (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))) into (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))) 15.250 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 15.250 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (* (+ (/ 1 k) 1.0) (log (* -1 n))))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) in n 15.250 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (+ (/ 1 k) 1.0) (log (* -1 n))))) in n 15.251 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 k) 1.0) (log (* -1 n)))) in n 15.251 * [taylor]: Taking taylor expansion of -0.5 in n 15.251 * [backup-simplify]: Simplify -0.5 into -0.5 15.251 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -1 n))) in n 15.251 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 15.251 * [taylor]: Taking taylor expansion of (/ 1 k) in n 15.251 * [taylor]: Taking taylor expansion of k in n 15.251 * [backup-simplify]: Simplify k into k 15.251 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 15.251 * [taylor]: Taking taylor expansion of 1.0 in n 15.251 * [backup-simplify]: Simplify 1.0 into 1.0 15.251 * [taylor]: Taking taylor expansion of (log (* -1 n)) in n 15.251 * [taylor]: Taking taylor expansion of (* -1 n) in n 15.251 * [taylor]: Taking taylor expansion of -1 in n 15.251 * [backup-simplify]: Simplify -1 into -1 15.251 * [taylor]: Taking taylor expansion of n in n 15.251 * [backup-simplify]: Simplify 0 into 0 15.251 * [backup-simplify]: Simplify 1 into 1 15.251 * [backup-simplify]: Simplify (* -1 0) into 0 15.252 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 15.252 * [backup-simplify]: Simplify (log -1) into (log -1) 15.252 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 15.252 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log -1)) into (+ (log -1) (log n)) 15.253 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (+ (log -1) (log n))) into (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0)) 15.253 * [backup-simplify]: Simplify (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0))) into (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0))) 15.253 * [backup-simplify]: Simplify (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0)))) 15.253 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) in n 15.253 * [taylor]: Taking taylor expansion of (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))) in n 15.253 * [taylor]: Taking taylor expansion of 0.5 in n 15.253 * [backup-simplify]: Simplify 0.5 into 0.5 15.254 * [taylor]: Taking taylor expansion of (* (log 2.0) (+ (/ 1 k) 1.0)) in n 15.254 * [taylor]: Taking taylor expansion of (log 2.0) in n 15.254 * [taylor]: Taking taylor expansion of 2.0 in n 15.254 * [backup-simplify]: Simplify 2.0 into 2.0 15.254 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 15.254 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 15.254 * [taylor]: Taking taylor expansion of (/ 1 k) in n 15.254 * [taylor]: Taking taylor expansion of k in n 15.254 * [backup-simplify]: Simplify k into k 15.254 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 15.254 * [taylor]: Taking taylor expansion of 1.0 in n 15.254 * [backup-simplify]: Simplify 1.0 into 1.0 15.254 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 15.254 * [backup-simplify]: Simplify (* (log 2.0) (+ (/ 1 k) 1.0)) into (* (log 2.0) (+ (/ 1 k) 1.0)) 15.255 * [backup-simplify]: Simplify (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))) into (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))) 15.255 * [backup-simplify]: Simplify (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 15.256 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) into (* (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) 15.257 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (* (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) into (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (* (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) 15.258 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (* (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) into (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (* (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) 15.259 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))))) into 0 15.259 * [backup-simplify]: Simplify (+ (* (exp (* -0.5 (* (+ (/ 1 k) 1.0) (log (* -1 n))))) 0) (* 0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) into 0 15.259 * [taylor]: Taking taylor expansion of 0 in n 15.259 * [backup-simplify]: Simplify 0 into 0 15.259 * [backup-simplify]: Simplify 0 into 0 15.260 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 15.260 * [backup-simplify]: Simplify (+ 0 0) into 0 15.261 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 15.262 * [backup-simplify]: Simplify (+ (* (log 2.0) 0) (* 0 (+ (/ 1 k) 1.0))) into 0 15.263 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (log 2.0) (+ (/ 1 k) 1.0)))) into 0 15.264 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 15.265 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 15.265 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 15.266 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 15.266 * [backup-simplify]: Simplify (+ 0 0) into 0 15.266 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log -1)) into (+ (log -1) (log n)) 15.267 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (* 0 (+ (log -1) (log n)))) into 0 15.268 * [backup-simplify]: Simplify (+ (* -0.5 0) (* 0 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0)))) into 0 15.278 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 15.279 * [backup-simplify]: Simplify (+ (* (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0)))) 0) (* 0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) into 0 15.281 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 15.281 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 15.281 * [backup-simplify]: Simplify (+ 0 0) into 0 15.282 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (* 0 (log PI))) into 0 15.283 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (/ 1 k) 1.0) (log PI)))) into 0 15.284 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (+ (* (/ (pow 0 1) 1)))) into 0 15.286 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 0) (* 0 (* (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) into 0 15.286 * [backup-simplify]: Simplify 0 into 0 15.288 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))))))) into 0 15.290 * [backup-simplify]: Simplify (+ (* (exp (* -0.5 (* (+ (/ 1 k) 1.0) (log (* -1 n))))) 0) (+ (* 0 0) (* 0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))))) into 0 15.290 * [taylor]: Taking taylor expansion of 0 in n 15.290 * [backup-simplify]: Simplify 0 into 0 15.290 * [backup-simplify]: Simplify 0 into 0 15.290 * [backup-simplify]: Simplify 0 into 0 15.291 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 15.291 * [backup-simplify]: Simplify (+ 0 0) into 0 15.294 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2.0 1)))) 2) into 0 15.295 * [backup-simplify]: Simplify (+ (* (log 2.0) 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 15.296 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (log 2.0) (+ (/ 1 k) 1.0))))) into 0 15.298 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.300 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 15.302 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 15.303 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 15.303 * [backup-simplify]: Simplify (+ 0 0) into 0 15.304 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log -1)) into (+ (log -1) (log n)) 15.305 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (+ (* 0 0) (* 0 (+ (log -1) (log n))))) into 0 15.306 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (* 0 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0))))) into 0 15.308 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.309 * [backup-simplify]: Simplify (+ (* (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0)))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) into 0 15.313 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 15.313 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 15.313 * [backup-simplify]: Simplify (+ 0 0) into 0 15.314 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (+ (* 0 0) (* 0 (log PI)))) into 0 15.315 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (+ (/ 1 k) 1.0) (log PI))))) into 0 15.317 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.319 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 0) (+ (* 0 0) (* 0 (* (exp (* -0.5 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))))) into 0 15.320 * [backup-simplify]: Simplify 0 into 0 15.322 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))))))) into 0 15.324 * [backup-simplify]: Simplify (+ (* (exp (* -0.5 (* (+ (/ 1 k) 1.0) (log (* -1 n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))))) into 0 15.324 * [taylor]: Taking taylor expansion of 0 in n 15.324 * [backup-simplify]: Simplify 0 into 0 15.324 * [backup-simplify]: Simplify 0 into 0 15.326 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (log PI)))) (* (exp (* -0.5 (* (+ (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 (/ 1 (- k))) 1.0)))))) into (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (* (exp (* -0.5 (* (- 1.0 k) (+ (log -1) (log (/ -1 n)))))) (exp (* 0.5 (* (- 1.0 k) (log PI)))))) 15.326 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 15.326 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 15.326 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 15.326 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 15.326 * [taylor]: Taking taylor expansion of 1.0 in k 15.326 * [backup-simplify]: Simplify 1.0 into 1.0 15.326 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 15.326 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.326 * [taylor]: Taking taylor expansion of k in k 15.326 * [backup-simplify]: Simplify 0 into 0 15.326 * [backup-simplify]: Simplify 1 into 1 15.327 * [backup-simplify]: Simplify (/ 1 1) into 1 15.327 * [backup-simplify]: Simplify (sqrt 0) into 0 15.328 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 15.328 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 15.328 * [taylor]: Taking taylor expansion of 1.0 in k 15.328 * [backup-simplify]: Simplify 1.0 into 1.0 15.329 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 15.329 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.329 * [taylor]: Taking taylor expansion of k in k 15.329 * [backup-simplify]: Simplify 0 into 0 15.329 * [backup-simplify]: Simplify 1 into 1 15.329 * [backup-simplify]: Simplify (/ 1 1) into 1 15.329 * [backup-simplify]: Simplify (sqrt 0) into 0 15.331 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 15.331 * [backup-simplify]: Simplify (* 1.0 0) into 0 15.331 * [backup-simplify]: Simplify 0 into 0 15.333 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 15.333 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 15.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.337 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 15.339 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 15.339 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 15.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.344 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 15.347 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 15.347 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 15.349 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 15.349 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 15.349 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 15.349 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 15.349 * [taylor]: Taking taylor expansion of 1.0 in k 15.349 * [backup-simplify]: Simplify 1.0 into 1.0 15.349 * [taylor]: Taking taylor expansion of (sqrt k) in k 15.349 * [taylor]: Taking taylor expansion of k in k 15.349 * [backup-simplify]: Simplify 0 into 0 15.349 * [backup-simplify]: Simplify 1 into 1 15.350 * [backup-simplify]: Simplify (sqrt 0) into 0 15.351 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 15.351 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 15.351 * [taylor]: Taking taylor expansion of 1.0 in k 15.351 * [backup-simplify]: Simplify 1.0 into 1.0 15.351 * [taylor]: Taking taylor expansion of (sqrt k) in k 15.351 * [taylor]: Taking taylor expansion of k in k 15.351 * [backup-simplify]: Simplify 0 into 0 15.351 * [backup-simplify]: Simplify 1 into 1 15.352 * [backup-simplify]: Simplify (sqrt 0) into 0 15.353 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 15.353 * [backup-simplify]: Simplify (* 1.0 0) into 0 15.353 * [backup-simplify]: Simplify 0 into 0 15.355 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 15.355 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 15.358 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 15.360 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 15.361 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 15.364 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 15.367 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 15.367 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 15.369 * [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)))))))) 15.369 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 15.369 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 15.369 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 15.369 * [taylor]: Taking taylor expansion of 1.0 in k 15.369 * [backup-simplify]: Simplify 1.0 into 1.0 15.369 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 15.369 * [taylor]: Taking taylor expansion of (/ -1 k) in k 15.369 * [taylor]: Taking taylor expansion of -1 in k 15.369 * [backup-simplify]: Simplify -1 into -1 15.369 * [taylor]: Taking taylor expansion of k in k 15.369 * [backup-simplify]: Simplify 0 into 0 15.369 * [backup-simplify]: Simplify 1 into 1 15.370 * [backup-simplify]: Simplify (/ -1 1) into -1 15.370 * [backup-simplify]: Simplify (sqrt 0) into 0 15.371 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 15.372 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 15.372 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 15.372 * [taylor]: Taking taylor expansion of 1.0 in k 15.372 * [backup-simplify]: Simplify 1.0 into 1.0 15.372 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 15.372 * [taylor]: Taking taylor expansion of (/ -1 k) in k 15.372 * [taylor]: Taking taylor expansion of -1 in k 15.372 * [backup-simplify]: Simplify -1 into -1 15.372 * [taylor]: Taking taylor expansion of k in k 15.372 * [backup-simplify]: Simplify 0 into 0 15.372 * [backup-simplify]: Simplify 1 into 1 15.372 * [backup-simplify]: Simplify (/ -1 1) into -1 15.373 * [backup-simplify]: Simplify (sqrt 0) into 0 15.374 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 15.374 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 15.375 * [backup-simplify]: Simplify +nan.0 into +nan.0 15.375 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.379 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 15.382 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 15.383 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 15.384 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.388 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 15.393 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 15.393 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 15.394 * [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))))) 15.394 * * * [progress]: simplifying candidates 15.401 * [simplify]: Simplifying: (* (- (log n)) (* -0.5 (- 1.0 k))) (* (- 0 (log n)) (* -0.5 (- 1.0 k))) (* (- (log 1) (log n)) (* -0.5 (- 1.0 k))) (* (log (/ 1 n)) (* -0.5 (- 1.0 k))) (* (log (/ 1 n)) (* -0.5 (- 1.0 k))) (* -1 (* -0.5 (- 1.0 k))) (* (- 1) (* -0.5 (- 1.0 k))) (* 1 (* -0.5 (- 1.0 k))) (pow (/ 1 n) -0.5) (pow (/ 1 n) (* -0.5 1.0)) (pow (/ 1 n) (* -0.5 (- k))) (pow (/ 1 n) (* -0.5 1.0)) (pow (/ 1 n) (* -0.5 (- k))) (pow (/ 1 n) (* 1.0 -0.5)) (pow (/ 1 n) (* (- k) -0.5)) (pow (/ 1 n) (* 1.0 -0.5)) (pow (/ 1 n) (* (- k) -0.5)) (pow (* (cbrt (/ 1 n)) (cbrt (/ 1 n))) (* -0.5 (- 1.0 k))) (pow (cbrt (/ 1 n)) (* -0.5 (- 1.0 k))) (pow (sqrt (/ 1 n)) (* -0.5 (- 1.0 k))) (pow (sqrt (/ 1 n)) (* -0.5 (- 1.0 k))) (pow (/ (* (cbrt 1) (cbrt 1)) (* (cbrt n) (cbrt n))) (* -0.5 (- 1.0 k))) (pow (/ (cbrt 1) (cbrt n)) (* -0.5 (- 1.0 k))) (pow (/ (* (cbrt 1) (cbrt 1)) (sqrt n)) (* -0.5 (- 1.0 k))) (pow (/ (cbrt 1) (sqrt n)) (* -0.5 (- 1.0 k))) (pow (/ (* (cbrt 1) (cbrt 1)) 1) (* -0.5 (- 1.0 k))) (pow (/ (cbrt 1) n) (* -0.5 (- 1.0 k))) (pow (/ 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(- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 15.414 * * [simplify]: Extracting # 0 : cost 0 15.414 * * [simplify]: Extracting # 1 : cost 0 15.415 * * [simplify]: Extracting # 2 : cost 0 15.416 * * [simplify]: Extracting # 3 : cost 0 15.417 * * [simplify]: Extracting # 4 : cost 0 15.418 * * [simplify]: Extracting # 5 : cost 0 15.419 * * [simplify]: Extracting # 6 : cost 0 15.420 * * [simplify]: Extracting # 7 : cost 0 15.422 * * [simplify]: Extracting # 8 : cost 0 15.423 * * [simplify]: Extracting # 9 : cost 0 15.424 * * [simplify]: Extracting # 10 : cost 0 15.438 * * [simplify]: Extracting # 11 : cost 0 15.439 * * [simplify]: Extracting # 12 : cost 0 15.441 * * [simplify]: Extracting # 13 : cost 0 15.442 * * [simplify]: Extracting # 14 : cost 0 15.443 * * [simplify]: Extracting # 15 : cost 0 15.444 * * [simplify]: iteration 0 : 375 enodes (cost 4249 ) 15.574 * * [simplify]: Extracting # 0 : cost 0 15.576 * * [simplify]: Extracting # 1 : cost 0 15.577 * * [simplify]: Extracting # 2 : cost 0 15.579 * * [simplify]: Extracting # 3 : cost 0 15.581 * * [simplify]: Extracting # 4 : cost 0 15.582 * * [simplify]: Extracting # 5 : cost 0 15.584 * * [simplify]: iteration 1 : 1105 enodes (cost 3789 ) 15.970 * * [simplify]: Extracting # 0 : cost 0 15.990 * * [simplify]: Extracting # 1 : cost 0 15.997 * * [simplify]: Extracting # 2 : cost 0 16.004 * * [simplify]: Extracting # 3 : cost 0 16.015 * * [simplify]: Extracting # 4 : cost 0 16.025 * * [simplify]: iteration done: 5000 enodes (cost 3438 ) 16.027 * [simplify]: Simplified to: (* -0.5 (* (- 1.0 k) (- (log n)))) (* -0.5 (* (- 1.0 k) (- (log n)))) (* -0.5 (* (- 1.0 k) (- (log n)))) (* -0.5 (* (- 1.0 k) (- (log n)))) (* -0.5 (* (- 1.0 k) (- (log n)))) (- (* -0.5 (- 1.0 k))) (- (* -0.5 (- 1.0 k))) (* -0.5 (- 1.0 k)) (pow (/ 1 n) -0.5) (pow (/ 1 n) (* -0.5 1.0)) (pow (/ 1 n) (* (- k) -0.5)) (pow (/ 1 n) (* -0.5 1.0)) (pow (/ 1 n) (* (- k) 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(* 0.5 (- 1.0 k)))) (pow (/ 1 n) (* -0.5 (- 1.0 k)))))) (cbrt (* (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow PI (* 0.5 (- 1.0 k)))) (pow (/ 1 n) (* -0.5 (- 1.0 k))))) (pow (* (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow PI (* 0.5 (- 1.0 k)))) (pow (/ 1 n) (* -0.5 (- 1.0 k)))) 3) (sqrt (* (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow PI (* 0.5 (- 1.0 k)))) (pow (/ 1 n) (* -0.5 (- 1.0 k))))) (sqrt (* (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow PI (* 0.5 (- 1.0 k)))) (pow (/ 1 n) (* -0.5 (- 1.0 k))))) (* (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow PI (* 0.5 (- 1.0 k)))) (pow (/ 1 n) (* -0.5 1.0))) (* (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow PI (* 0.5 (- 1.0 k)))) (pow (/ 1 n) (* -0.5 1.0))) (* (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow PI (* 0.5 (- 1.0 k)))) (pow (/ 1 n) (* 1.0 -0.5))) (* (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow PI (* 0.5 (- 1.0 k)))) (pow (/ 1 n) (* 1.0 -0.5))) (* (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow PI (* 0.5 (- 1.0 k)))) (pow (* (cbrt (/ 1 n)) (cbrt (/ 1 n))) (* -0.5 (- 1.0 k)))) (* (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow PI (* 0.5 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k)))) (* (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow PI (* 0.5 (- 1.0 k)))) (* (cbrt (pow (/ 1 n) (* -0.5 (- 1.0 k)))) (cbrt (pow (/ 1 n) (* -0.5 (- 1.0 k)))))) (* (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow PI (* 0.5 (- 1.0 k)))) (sqrt (pow (/ 1 n) (* -0.5 (- 1.0 k))))) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))) (* (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow PI (* 0.5 (- 1.0 k)))) (pow (/ 1 n) (/ (* -0.5 (- 1.0 k)) 2))) (* (pow PI (* 0.5 (- 1.0 k))) (pow (/ 1 n) (* -0.5 (- 1.0 k)))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (/ (pow 1.0 3) k) (sqrt k)) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt k))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) (pow (/ 1 n) (* -0.5 (- 1.0 k))) (exp (* -0.5 (* (- 1.0 k) (+ (log -1) (log (/ -1 n)))))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log PI) 2)) (pow (pow PI 1.0) 0.5))) (pow PI 0.5)) (* 0.5 (* (* k (log PI)) (pow (pow PI 1.0) 0.5)))) (pow PI (* 0.5 (- 1.0 k))) (pow PI (* 0.5 (- 1.0 k))) (- (+ (+ (* 0.25 (* (* (log 2.0) (* (pow k 2) (log n))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (+ (* 0.125 (* (* (pow k 2) (pow (log PI) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (pow (pow (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5))) (+ (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (+ (* 0.125 (* (pow k 2) (pow (log n) 2))) (* 0.25 (* (pow k 2) (* (log n) (log PI)))))) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (+ (* 0.125 (* (pow (log 2.0) 2) (pow k 2))) (* 0.25 (* (log 2.0) (* (pow k 2) (log PI)))))))) (* 0.5 (+ (* (* k (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (+ (* k (log 2.0)) (* k (log n))))))) (* (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (pow PI (* 0.5 (- 1.0 k)))) (pow (/ 1 n) (* -0.5 (- 1.0 k)))) (* (exp (+ (* 0.5 (* (log 2.0) (- 1.0 k))) (* -0.5 (* (- 1.0 k) (+ (log -1) (log (/ -1 n))))))) (pow PI (* 0.5 (- 1.0 k)))) (- (- (* +nan.0 k) (- (* +nan.0 (pow k 2)) +nan.0))) (+ (- (/ +nan.0 (pow k 2))) (- (/ +nan.0 k) (/ +nan.0 (pow k 3)))) (+ (- (/ +nan.0 (pow k 2))) (- (/ +nan.0 k) +nan.0)) 16.028 * * * [progress]: adding candidates to table 16.886 * [progress]: [Phase 3 of 3] Extracting. 16.886 * * [regime]: Finding splitpoints for: (# # # # # # #) 16.888 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 16.888 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # #) 16.923 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # #) 16.950 * * * * [regimes]: Trying to branch on n from (# # # # # # #) 16.991 * * * * [regimes]: Trying to branch on k from (# # # # # # #) 17.048 * * * [regime]: Found split indices: #